{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[18, 8, -6, -13, 0, 18, -2, 2, -10],\n [-10, 3, 15, 19, 3, -18, 1, -19, 3],\n [9, 17, -19, 0, 12, -9, 1, 4, 6],\n [7, -5, -6, -18, 16, -14, 0, -12, 18],\n [-3, -17, 4, -7, -12, 5, -19, -1, 7],\n [-14, -13, 14, -7, -4, 15, 19, -17, -19],\n [-15, -17, 8, -3, 5, 13, -11, 15, -7],\n [10, -6, -13, -7, 2, 19, 0, -5, -3],\n [3, 5, 4, 20, 8, -6, -20, 4, -14]]\nB =\n[[-12, 3, -20, -13, 3, -10, -4, -13, 14, 14],\n [12, -16, 18, 20, 7, -14, -12, -13, -9, 13],\n [12, 2, 3, 16, 14, 19, 1, 6, 14, -20],\n [14, 16, -7, -18, -20, -16, 5, -7, 18, 6],\n [-12, -6, -6, 5, -8, 11, 18, 11, -17, 9],\n [16, 2, 18, -6, 8, 15, -8, 11, -14, 1],\n [7, -19, -15, 7, 7, -1, 9, -10, 7, 4],\n [18, 12, -20, 6, -8, 20, -18, 18, -15, -13],\n [6, -12, 16, 12, 3, -6, 11, 11, 3, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "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, 18, -19, -18, 16, -4, -19, -19, 7],\n [2, 16, 11, 12, -20, -2, -19, 5, 11],\n [-15, 11, -17, -10, -4, 17, 3, -16, 13],\n [-15, 1, -10, -5, 12, -12, -15, -5, 8],\n [-18, -1, 15, -2, 5, -18, -2, -1, 11],\n [-14, 20, 12, 19, 18, -3, 19, -20, -10],\n [7, 4, 2, 10, 9, 14, -14, -5, 5],\n [-19, -20, -9, -16, 16, 11, -12, 20, 14],\n [-2, -5, -18, -1, 3, 12, 3, -10, -13]]\nB =\n[[15, 17, 19, -1, 14, 4, 14, 4, 8],\n [-3, -3, -19, 14, -5, 20, 15, 12, -17],\n [12, -7, 0, -1, -13, -14, -18, -4, 12],\n [-9, 1, 1, 9, 17, 17, -13, 6, 6],\n [13, 0, 9, 12, 7, 12, -16, -2, -17],\n [14, -4, 7, 9, 8, -15, 14, 20, 16],\n [3, 8, 10, 14, 12, 0, 11, 2, 12],\n [-18, -3, 4, 10, -18, 19, 3, 11, 1],\n [2, -19, 6, -19, 5, -4, 19, 12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[18, 8, 5, 14, 4, 3, -8, -14, 15],\n [-1, -20, -13, -5, -7, -9, 2, -6, 7],\n [13, -19, 11, 2, 1, 4, 1, 1, -15],\n [-6, 16, 12, -13, -16, 18, -17, -15, 11],\n [9, 14, 19, -5, -8, 9, -2, -4, -2],\n [7, 5, 16, 5, 2, -12, -9, -20, -20],\n [13, 11, 4, 19, -20, -5, 18, -16, 1],\n [8, -18, -9, 5, -5, 16, 1, 8, -7],\n [7, -16, 9, -16, -9, -5, 5, 5, 0]]\nB =\n[[18, 15, 12, 9, 16, 2, -11, -16, 15],\n [13, 10, -11, -2, 11, -20, -16, -17, -5],\n [3, -5, -19, 7, 11, 6, -1, 3, -9],\n [14, 12, 12, 16, -9, -18, -20, 12, 19],\n [-11, 8, -8, -9, 10, -19, 14, 2, -4],\n [5, -13, 8, 5, -11, 5, 13, 20, -14],\n [-17, -10, 8, 15, 4, 0, 15, -11, 16],\n [-12, 3, 14, 14, 15, -3, 18, 11, 3],\n [2, 11, 16, -9, -8, 2, 4, 14, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -4, -1, 4, 1, -8, -2, 15, -9, 20],\n [-2, -9, -12, -14, 7, -7, 10, -2, -5, -16],\n [14, -9, 4, 0, 15, 2, -5, 18, 18, -7],\n [10, -16, 14, 2, 8, -10, -3, -9, -12, -11],\n [-4, 17, -14, -8, 19, -12, 6, -19, -16, 8],\n [16, 17, -2, -13, -20, 1, -4, -14, 4, -17],\n [15, -15, 10, -2, 18, 6, -11, 5, -2, 18],\n [-18, -8, 7, -1, 7, -13, 20, 18, -20, -18],\n [-8, 7, 4, 12, 17, -15, 11, 0, -5, 0]]\nB =\n[[-10, 16, 15, 14, -2, -1, -3, 20, -7],\n [-6, 10, -20, -18, -5, 2, -10, -9, -11],\n [11, -5, -13, 17, -9, 3, 7, -13, 7],\n [15, 5, -13, 7, 7, 16, 20, 15, 6],\n [-4, -12, 12, -1, -8, 7, 8, -8, 14],\n [-15, -3, -16, 4, -19, -11, 9, -16, 12],\n [-20, -3, 11, -10, 0, 5, 4, 1, 6],\n [-8, 12, 13, 20, 14, -20, 0, -15, 7],\n [-4, -16, 10, -16, 17, -18, 2, 16, 16],\n [-11, -11, -2, -4, 0, -7, -12, -20, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26608", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-17, -20, 19, 11, 13, 7, 10, -13, 18],\n [5, 13, -18, -9, -20, -16, 9, 9, -4],\n [2, -6, 16, 0, -7, -19, -10, 18, 17],\n [13, 17, 13, -3, 9, -6, 6, 13, 17],\n [12, 3, -6, 9, -4, -16, 8, -17, -11],\n [-4, -11, -4, -1, 3, -16, 13, -15, -19],\n [-8, -10, 2, -5, 10, -10, -5, -13, -17],\n [19, -17, 4, -18, 11, -18, 6, 8, 11],\n [-2, 0, -16, -3, 7, 1, 0, -15, -20]]\nB =\n[[-16, 20, -9, 5, 13, -7, 5, 6, -12, 5],\n [1, 9, -4, 5, 15, -20, -13, 14, -6, 1],\n [-7, 5, 7, 2, -7, 3, -19, 5, -7, -14],\n [-18, 2, -3, 17, 14, -6, 4, 16, 7, -11],\n [18, -4, 18, 1, 5, 4, -4, -8, -1, 4],\n [-17, -11, -18, 20, -3, 15, 1, 13, -13, 19],\n [-2, 20, 16, -15, 5, 13, -15, 16, 12, 1],\n [0, -15, -15, -17, 9, -10, 9, 10, 3, -12],\n [-18, 10, 19, 16, 15, 3, 10, -15, -19, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -10, -17, -6, -15, 9, 17, -19, -6],\n [-10, -13, 5, -16, -15, 5, -17, -2, -1],\n [12, -1, -9, -20, 5, -7, 17, 16, -10],\n [15, -8, -18, 12, -15, -11, -16, 2, -11],\n [-19, -8, 19, -19, -1, -20, 16, -12, -4],\n [-12, -10, -6, 3, 17, 14, 9, 10, -16],\n [-7, -10, -12, 13, -9, 14, 14, -20, 19],\n [1, 8, -13, -10, 20, 16, -7, 9, 14],\n [0, 16, -16, -2, -7, 5, -17, 4, 4],\n [-3, 19, -13, 18, 19, -7, 11, 17, 12]]\nB =\n[[2, -6, 12, 4, -4, 12, -19, -7, 19],\n [19, 18, -15, -15, -18, -14, -13, -6, 8],\n [12, 9, 18, 6, 15, 8, 17, 12, 16],\n [6, 12, -17, 1, -19, -11, -16, -11, 12],\n [17, -8, 10, 15, 3, -6, 8, -13, -16],\n [8, -17, -9, -19, 6, 10, 15, 15, 5],\n [6, -16, -1, -10, -11, 19, 17, -15, -13],\n [2, 5, -9, 5, -8, 19, -3, 4, 12],\n [19, -9, 15, -17, -16, 16, -13, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34796", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, 8, -7, 19, 20, 1, -10, 2, -20, 16],\n [0, 5, 15, 2, -20, 19, -6, 0, -12, -12],\n [-11, 5, 20, 14, 4, 5, -10, 17, -19, -14],\n [-3, 6, 13, 6, -4, 3, 4, -14, -15, 3],\n [12, 8, 1, 5, 7, 0, -14, -4, -1, 20],\n [-1, 1, 7, 19, -14, -20, 11, -8, 9, 2],\n [-2, 11, 9, 8, 8, 9, -5, 19, -2, -3],\n [-20, -7, -19, 7, 9, 17, -17, -20, -13, 8],\n [18, -18, 11, -11, -11, -2, 13, 12, 2, 7],\n [11, -14, 8, -13, -20, -18, 3, 2, -13, 16]]\nB =\n[[-18, 12, 7, -13, 13, 14, 11, 3, -7, 11],\n [-5, -17, 16, 0, -7, 10, -3, -14, -11, -14],\n [12, 2, 0, -2, -2, 15, 8, -3, -19, -20],\n [-16, -1, -10, -19, -18, 2, -9, -1, -16, 16],\n [17, 9, -12, 13, 14, 1, 3, -4, -11, 9],\n [2, 11, -4, -4, -7, -12, 19, -19, 4, 18],\n [-12, 1, -17, 5, 8, 13, 2, 16, -10, -15],\n [-3, 0, 15, 20, 17, 13, -4, 16, 4, 17],\n [-9, 2, 1, 0, 6, 10, -15, 6, 19, 13],\n [-9, -14, -11, -4, 5, 0, 7, -19, -20, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9823", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[5, 8, 0, -10, 19, -10, 15, 18, 19, 14],\n [13, 3, 1, -16, 12, 15, -1, -2, 14, -4],\n [13, -12, 5, -19, -12, -12, 19, -4, -20, 4],\n [19, 4, 18, 14, -18, 16, 9, 17, 13, -9],\n [-2, 16, -4, -11, -9, -5, 3, -2, -13, 10],\n [0, -4, 2, 16, -5, -15, -13, 4, -3, 4],\n [-9, -6, 5, 20, 5, 11, -11, -5, -14, -4],\n [2, 5, 0, 1, -14, -7, -6, -14, -12, -13],\n [2, 8, -3, 10, 9, 18, 14, -3, 18, -4]]\nB =\n[[-7, 10, 3, 14, 13, -18, 16, 19, 5],\n [2, 18, -6, -17, 8, 1, 4, -8, -3],\n [12, -5, -19, 14, 13, 9, -8, -8, -3],\n [11, 11, 14, 18, 8, 8, -5, -11, 9],\n [4, 18, -1, -16, -20, 9, -18, -7, 9],\n [-17, -3, 16, 4, -20, -6, -12, -6, 3],\n [-17, -9, 16, 16, -15, 18, 3, -10, -8],\n [13, 4, -14, -17, -13, -1, 8, -11, 13],\n [5, 20, -18, -15, -16, -16, 2, -12, 14],\n [-1, 14, -3, -4, 3, -18, 11, 14, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 4, -12, -17, -7, 16, 13, -10, 20],\n [-18, 7, 8, -12, -18, 4, 13, -9, -12],\n [-6, 19, 4, -16, -10, 13, 3, -6, 17],\n [-13, -16, 5, -3, -15, 16, -8, 7, -16],\n [-8, -4, 19, 11, 8, -18, 19, 13, 19],\n [6, -8, 12, -15, 3, -2, -5, 19, 7],\n [12, 20, -8, 4, 15, 6, 17, -14, -16],\n [10, 2, -11, 11, 9, 18, 10, -3, 15],\n [-19, -7, -8, 8, -9, 18, -19, 11, -8]]\nB =\n[[6, 20, -4, 19, 10, 13, 3, 14, -15, -2],\n [9, -14, -11, 20, 11, 13, 7, -6, 9, 16],\n [8, 1, -17, -1, 11, 15, -17, 6, -4, -9],\n [1, -4, -11, -20, 1, 5, -3, -7, 8, -9],\n [15, 14, -9, -14, 8, -10, 12, -15, -6, 11],\n [-10, 2, 5, 13, 13, 8, -17, -4, 14, -8],\n [20, 18, -6, 8, 8, -10, 11, -19, -7, -1],\n [1, -10, 6, -18, -4, 7, 8, 0, -5, 16],\n [-1, -15, -2, -16, -18, -20, 17, -6, 13, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "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, 3, -9, -3, -6, -5, 6, -13, 4, -4],\n [8, -13, -6, 6, -14, -18, 8, 3, -18, -1],\n [-6, 4, 9, -7, -14, -4, -1, 15, -12, 17],\n [1, -19, 3, -13, -10, -8, -4, -13, 0, -3],\n [9, -3, 10, 17, 11, -10, 4, 12, 17, 20],\n [-13, -10, 1, 3, 20, -4, -9, 11, -6, -5],\n [1, 7, -1, 12, -11, 19, 11, 12, -19, 12],\n [12, 20, -8, 9, 12, -8, 5, 1, 18, -19],\n [17, 18, 5, -6, 13, 19, -10, -18, -15, -12]]\nB =\n[[-15, -12, 18, 10, 11, 20, -9, -13, -13, 7],\n [-1, -14, -10, -1, -5, -17, -15, 1, 5, -18],\n [20, -7, -10, -3, -9, 2, -9, -8, 4, -2],\n [15, -13, 8, 11, -3, -15, -3, -2, 1, 16],\n [11, 20, -18, 7, -11, 14, 8, -6, 12, -14],\n [-9, 9, 0, 10, 3, -1, 16, -17, 7, -1],\n [3, 11, 20, 15, 13, 15, -19, -6, 13, 15],\n [-15, 18, -9, -18, -3, 19, 0, -6, 12, 14],\n [5, -13, 15, 9, 2, -7, -7, -19, 16, -16],\n [17, 20, -7, 18, 4, -1, -19, 18, -15, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28959", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 7, -19, 14, 16, -16, -20, 19, -9, 15],\n [2, 10, -10, -11, -18, -7, -5, -11, 8, -11],\n [-9, 9, 20, -20, -16, -1, -13, -9, -20, -1],\n [7, 16, 16, -9, 16, 7, -6, -15, -1, -7],\n [-19, -12, 16, -1, 5, 8, -20, 14, -15, 16],\n [-16, 12, -7, -9, -1, 3, 13, 4, 8, 18],\n [10, 2, 17, -1, 2, -5, -13, 0, -20, -13],\n [8, 11, 17, -16, 1, 13, -20, 5, -11, 9],\n [-3, -4, 5, -13, 19, -9, 6, -13, 4, -17]]\nB =\n[[12, -20, -2, 10, -5, -7, -16, 20, 5, 7],\n [-19, -15, -12, 12, 20, 4, -8, -12, -8, 10],\n [20, -10, -17, 13, 17, -17, 17, -2, -15, 13],\n [-3, -8, 20, 2, -2, -10, -20, 3, -14, 4],\n [0, -6, -20, -9, -14, -6, 0, -2, 8, 4],\n [12, 11, 14, 17, 5, -10, 14, -13, -7, -11],\n [-19, -12, -18, 0, 5, -13, -19, -15, 7, 8],\n [5, 4, -9, -16, 13, 16, -6, 15, -6, 2],\n [-15, 0, 2, -5, -6, 4, 15, -10, -6, -17],\n [0, -8, 1, -2, 13, -7, -17, 6, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8054", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[14, -13, -5, 15, 9, -3, -19, -8, -17],\n [5, 4, 9, -10, -14, 10, -11, 18, -8],\n [10, -14, 15, -1, -17, -14, -20, -8, 1],\n [0, 1, 7, -12, 5, -12, -6, -11, 3],\n [-13, 3, -5, 5, 6, 16, -17, 3, -2],\n [15, 18, -11, 4, -3, -2, 15, -11, 12],\n [-16, 14, 13, 12, 0, -4, 1, 16, -6],\n [14, 7, -14, 11, -10, -11, -12, -7, -8],\n [4, -19, 14, -14, 0, -3, -18, 18, 20]]\nB =\n[[-10, 18, 3, -2, -17, 5, 17, 11, 18],\n [15, 19, 16, 12, 15, -18, -12, -13, 12],\n [-15, 20, 18, -17, -8, -19, -16, 6, 11],\n [0, -13, 17, -13, -18, -18, 1, -15, -19],\n [2, -19, 17, -4, 14, 13, 2, 9, -13],\n [1, 15, -16, -8, 8, 10, -5, 9, -5],\n [-9, -4, -5, -9, -13, -1, -18, -5, 9],\n [2, 7, 19, -16, -1, 19, -20, 9, 0],\n [-1, -15, 1, -3, -13, 18, 11, 12, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "414", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-9, 17, 13, -7, 15, 12, 2, -19, 20, 0],\n [-19, 6, -12, -20, -10, -18, 2, 5, -17, -3],\n [-15, 14, 1, -6, 1, 16, -9, 17, -3, 14],\n [9, 3, 9, -7, -15, -18, -5, -14, -7, -12],\n [-6, 0, 14, -19, 6, -19, 14, -3, -7, -1],\n [-3, -11, 4, -19, 4, 12, 15, 10, -7, -20],\n [-5, -18, 14, 20, -15, 4, -8, 13, -13, 0],\n [13, -17, 4, -6, -17, -9, 11, 11, 7, -8],\n [10, -7, -1, -3, 8, -15, 11, 8, -19, 2],\n [-2, 10, -16, -2, 13, -11, 4, -19, -10, 10]]\nB =\n[[-6, -12, 2, -2, -12, 14, 0, -12, 7],\n [-14, -5, -5, 12, -17, -17, 18, 19, -4],\n [16, 18, 8, 15, 17, 18, 16, 14, -14],\n [6, 7, 1, -7, -14, 16, 1, -16, -19],\n [6, 0, 17, -6, 0, -11, 2, 18, -16],\n [-20, -8, 0, 5, 0, -3, 16, 11, 15],\n [-4, 14, -10, 0, 5, -17, 13, -3, 19],\n [14, 20, 8, 8, 17, 0, -8, 20, -4],\n [-12, 20, -20, -19, 8, 12, -11, 19, 0],\n [7, -10, 13, -13, 1, -13, -6, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -2, -16, 11, -20, 2, 16, -13, -8, -13],\n [2, -20, 3, 14, 3, -4, -16, -1, 0, 19],\n [10, 15, -10, -6, -2, -14, 7, -16, -16, 9],\n [11, -13, -11, 17, 11, 7, -4, 10, -13, 19],\n [4, -12, -19, -6, -18, 15, -17, -7, 20, 20],\n [4, -11, 0, 15, -9, 6, 19, -19, -8, 11],\n [10, -5, 11, 11, 13, -10, -11, -6, -4, 19],\n [-3, -12, 4, 19, -7, 4, 1, 9, -1, 0],\n [11, 0, 14, 11, 9, 18, -9, 20, -3, 0],\n [-8, 0, -13, 19, -14, 2, 11, -10, 1, 1]]\nB =\n[[4, 1, 7, 8, -8, -3, -19, 8, 0, -6],\n [6, 10, -6, 2, 3, -8, 1, 16, 12, -18],\n [-2, 2, 8, 9, 18, 4, 16, -13, -5, -13],\n [-20, -16, -18, -20, -17, 19, 14, 11, 13, 4],\n [-11, 0, 18, 6, 6, -19, 20, -8, -12, 15],\n [1, 5, -9, -4, -7, -7, 13, -1, -10, -5],\n [10, -15, -2, 16, -17, -17, -1, -11, 3, 14],\n [5, 16, 17, 0, 19, 18, 0, -11, 17, -17],\n [-1, -4, -14, -17, 8, -7, -18, 3, 16, -5],\n [-17, 3, 13, 9, -3, -2, 10, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6558", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -9, 9, 17, 10, 15, -2, 15, 9],\n [12, -3, 7, -10, 12, -4, -15, -17, -1],\n [6, -6, -15, -7, -10, 18, -12, 5, -5],\n [-16, -11, -18, -8, 9, -15, -4, -2, 14],\n [5, -16, 8, 16, -1, 0, -11, -16, 15],\n [-15, 5, -17, 18, 18, 14, -20, 3, 15],\n [-15, 20, 10, -1, 3, 4, 15, 0, 9],\n [3, 9, 1, 7, -14, 14, 7, -7, -11],\n [-5, -5, 10, 4, -8, -15, -12, 15, -1],\n [-3, 0, -17, 12, 6, -14, -15, -6, -3]]\nB =\n[[11, -10, -1, 3, -6, -14, 0, 5, -7, 16],\n [0, -3, -16, -18, 2, 5, 16, 3, -2, 4],\n [0, -9, 20, 12, -17, -14, 1, 12, -4, 3],\n [13, 7, 20, 18, 1, -4, 13, -15, -15, 13],\n [-20, -11, 0, -16, -19, 1, -19, -11, 13, -5],\n [18, 1, -9, 3, 19, 17, -11, 14, 11, -14],\n [0, -1, 5, -17, 1, -6, 19, 0, -6, 1],\n [7, -7, 6, 20, 19, 7, 5, -19, 4, -18],\n [-13, 12, 14, -15, 18, 2, 4, -2, -16, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32193", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, -11, -13, 3, 7, 20, 15, 16, 0, -13],\n [-12, -6, 19, -3, -1, -15, -9, -19, -14, -5],\n [-18, -18, 6, 19, 17, 12, 7, -20, -13, 16],\n [11, 16, -17, 9, -15, -2, 11, -12, -9, -10],\n [-5, -20, 0, 9, -8, 13, -17, 7, 17, 10],\n [6, -16, 4, -18, 12, -17, 4, -1, 13, 5],\n [-16, 14, 7, 8, -12, 17, -15, -2, -10, -19],\n [-12, 0, 3, 13, 1, -18, -9, 7, 9, 5],\n [0, 7, 5, 12, 0, 14, 13, 20, -3, -10]]\nB =\n[[2, 1, -4, -16, -10, 9, -6, 6, 14],\n [12, -1, -5, 13, -19, 14, 19, 7, 18],\n [-15, -12, -1, -20, -13, 2, -18, -17, 4],\n [17, -6, 0, 14, -7, 15, -9, -4, 18],\n [-12, 14, -8, -6, -3, 12, -15, 6, 2],\n [6, 13, 17, -7, 15, -13, 14, -2, 9],\n [-7, -1, 4, 19, 3, -7, 5, 17, 2],\n [1, -2, -18, -2, -12, 7, -1, -14, -7],\n [-12, -2, -7, 17, 15, 19, -4, 9, -12],\n [12, 4, -7, -10, 14, 20, -7, 9, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2615", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-17, -17, 7, -13, -19, 20, 1, 20, -5, 8],\n [9, -9, 14, -10, 0, 0, -16, -1, 16, -18],\n [12, -12, -12, -17, 14, -4, 13, 3, 11, -20],\n [-13, 2, 19, -9, -9, -6, 20, -2, 5, 8],\n [1, 19, 0, 17, -1, 8, -17, -14, 7, 7],\n [-17, 1, -9, -18, 1, -19, 3, 13, 6, 20],\n [-20, -13, 2, 17, -15, 1, 4, -3, -4, -9],\n [-15, 5, 6, -13, -2, -20, 8, 14, 19, -7],\n [14, -1, -8, 17, -13, -1, 12, 5, 18, 0],\n [20, -12, 3, 16, 20, -4, 3, 0, 18, 20]]\nB =\n[[18, -8, -10, -2, -10, -8, -20, 19, -2, -9],\n [-13, -13, -9, 12, 5, 18, 7, -16, -13, 4],\n [6, 2, 9, 2, -1, -3, -3, -19, -17, 9],\n [12, 15, -3, 16, -2, 7, 19, -1, 12, -9],\n [-6, 20, 18, -19, 8, 20, -11, -19, -10, -8],\n [-11, -7, -3, -12, 18, 7, -18, -1, -15, 6],\n [-19, 8, 17, -18, -5, 9, 19, -19, -4, 20],\n [-9, 14, -20, -6, 5, 16, 0, 10, 4, 2],\n [3, 17, 7, 0, -3, 15, 14, -12, 17, 9],\n [13, 11, -18, -18, 7, -6, 20, 2, 19, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "497", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, 15, 12, 3, 18, 13, 7, 16, -14],\n [-17, 16, -20, -20, -1, -2, 8, -11, -3],\n [7, 14, 10, 6, -10, 17, -16, -13, 13],\n [-9, 17, -20, 10, -17, -16, 9, 3, -18],\n [-10, -17, 5, 6, 6, -15, -6, 9, 16],\n [16, 16, 14, 2, -15, -17, -3, -12, 8],\n [-8, -4, 11, 1, -17, -16, 16, 20, -8],\n [13, 1, 2, -18, 13, 11, 0, 0, -10],\n [18, -17, -20, 7, 3, 14, -8, 13, -10],\n [15, -4, 14, -3, 19, 1, 3, -2, 16]]\nB =\n[[18, 0, -13, 7, -16, -4, 16, 15, -2],\n [6, 13, -10, -9, 0, -10, 18, 7, -16],\n [-4, -1, 20, -9, -15, -4, -2, 5, 11],\n [-15, 15, 17, -10, 12, 3, 2, -6, 6],\n [-10, -4, -7, 6, -3, 7, -17, -14, 14],\n [-12, -13, -4, -4, 12, 11, -13, -2, 17],\n [-18, -16, -8, 10, -5, 11, 1, 8, 1],\n [-18, -11, 0, -5, -9, -19, 20, 3, 14],\n [9, 9, 14, -2, -13, 5, 19, -14, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-404", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, -18, -20, 15, 4, 16, -20, -6, 16, -8],\n [19, -13, -16, -12, -20, 15, 14, -19, 19, 2],\n [-12, 13, -7, -17, 9, 10, 17, -10, 14, -13],\n [-18, -7, -8, 11, 13, -2, 17, -5, -19, 19],\n [-4, 13, -5, 17, -19, -19, 5, -8, 10, 13],\n [18, -18, -13, 2, -7, 6, 8, 18, 18, -20],\n [-4, 20, 9, -8, 0, -2, -2, 4, 1, 10],\n [-4, 2, 11, -11, -11, 15, -13, -1, 11, -7],\n [7, 3, -6, 1, 9, -17, -8, 2, -13, -3]]\nB =\n[[-9, 10, -7, 13, -3, 13, -10, 20, -9],\n [-6, 10, 8, 5, -3, 11, 1, 17, -4],\n [2, 3, -13, 20, -15, -16, 8, 7, -10],\n [-20, -2, -12, 6, 13, -17, 15, -3, -6],\n [-8, -2, -15, -9, 16, -4, 2, 5, 8],\n [12, 6, 4, -11, 2, 0, 0, -8, 16],\n [12, 3, -10, -4, -17, 4, 9, -12, 0],\n [-1, -2, -2, -9, 16, -4, 16, 18, 7],\n [20, 14, -3, -7, 14, 20, -14, 20, -8],\n [-3, 16, -8, 15, 10, -19, -5, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[17, -10, 1, 12, 15, 2, 13, -12, 3, -13],\n [-14, 15, -3, -18, 7, -15, 0, 7, 19, -20],\n [15, 0, 14, -8, -11, -11, -8, 16, 17, 3],\n [-19, 1, -4, 15, -7, -11, 14, 4, -18, 17],\n [-4, -9, 3, 8, 4, 15, 5, 17, -20, -1],\n [7, -5, -4, 19, 7, -9, 6, 9, 20, 13],\n [16, -15, -14, 11, 11, 4, 12, -14, -9, -5],\n [-5, 15, -8, -14, 15, -12, 11, -10, -13, 12],\n [2, 4, -13, 1, -17, 19, -18, 8, 20, 8],\n [13, 13, 7, -8, -6, 2, 5, -17, 5, 19]]\nB =\n[[-12, -16, 11, -1, -10, -6, 11, 7, 1],\n [20, -4, 5, -14, 5, 4, -11, -2, -10],\n [-8, -13, 19, -17, 10, 7, -10, -20, 17],\n [3, 10, 20, 5, -16, -1, 20, -10, 12],\n [17, 6, 13, -6, 11, 0, -16, -15, 17],\n [1, -3, -7, -11, -8, 10, 9, -18, 9],\n [-15, 8, -13, 12, -4, -10, -8, -10, 10],\n [7, -15, 20, -5, -17, 14, 5, -9, -10],\n [16, 4, -3, -2, 2, 17, -3, 5, -15],\n [-17, 8, 13, -4, -5, -19, 13, -13, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-452", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-13, 9, 11, 15, 9, -20, 18, -4, -1],\n [3, 1, 8, 1, -12, 16, -11, 15, 16],\n [7, 7, 0, 3, 19, -19, -13, 6, 1],\n [16, 6, 8, -18, -8, -11, 15, -12, 6],\n [13, -20, 11, 4, 8, -14, -18, -1, -1],\n [9, 14, 14, 18, 6, 5, -7, -4, -3],\n [8, -1, 6, -3, -17, -20, -20, 5, -1],\n [2, -11, -10, 20, 20, -16, -20, -4, 1],\n [13, 20, 8, -17, -16, -10, 0, 14, -9],\n [5, -2, -14, -14, 5, 19, -16, 0, -7]]\nB =\n[[-17, 2, -1, -6, 8, -13, 20, -2, 18, 7],\n [6, -17, -6, 14, 16, -20, -18, 3, 6, 19],\n [15, 13, 8, 3, 3, -17, -18, 13, 2, 2],\n [-16, 10, 20, -15, 16, -11, 19, -14, 18, 17],\n [0, -1, -18, 1, -17, 7, -9, 17, 15, 20],\n [-16, -8, 2, 9, 16, 4, 6, -7, 15, 18],\n [-5, 1, 0, 0, -13, -5, 10, -11, 11, 13],\n [-12, -4, -10, 11, -11, 1, -4, -17, 4, 0],\n [16, 17, -20, 4, 15, -4, 20, 3, -19, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28617", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, 11, 18, -15, -20, 2, 18, -4, 13],\n [20, 8, -12, -8, -15, -15, -1, -18, -4],\n [-9, -20, -4, -18, 5, -6, 15, 11, 11],\n [-17, -3, -2, 14, 19, -7, 12, -7, 13],\n [-17, 3, 8, -2, -15, 12, 19, -2, -20],\n [-16, 6, -5, -15, 19, -8, 14, -2, -9],\n [-5, -11, 4, -1, 10, -17, 2, -19, 1],\n [16, -13, -14, -7, -18, -5, -2, -3, -5],\n [-13, 12, -9, -10, -16, 6, -9, -4, -15],\n [12, -16, 7, -7, -16, 12, 20, -2, 1]]\nB =\n[[-16, -19, 9, 18, -17, 12, -8, -1, -14, -6],\n [2, -7, 2, -2, 8, -1, 8, 3, -3, -11],\n [20, -13, 5, 8, -11, -4, -19, -15, -16, 7],\n [20, -16, -3, 5, -1, 20, 6, -9, -14, -18],\n [-11, 13, 4, 14, -5, -19, 3, -11, 17, 1],\n [5, 18, 6, 8, 17, -1, 6, 20, -1, -2],\n [-1, 14, -19, 9, 13, 1, -18, -15, -6, 6],\n [-11, -12, 12, 11, -15, 20, 15, -19, 8, -17],\n [-20, -2, 5, 4, -11, -6, 1, 0, 1, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 9) of the result:\nA =\n[[13, 9, 4, 7, -20, -17, -14, -12, 15],\n [-2, -20, -11, 15, -12, 11, 11, -15, 17],\n [-4, -11, 6, 14, 0, 4, 7, -6, -17],\n [8, -12, 6, 5, -2, 7, -4, 20, -1],\n [19, 18, 2, 11, 12, -16, 13, 19, -10],\n [-18, 12, -10, -5, -3, 9, -11, -3, 17],\n [-2, 15, -8, -18, -11, 17, -20, 6, -13],\n [-4, -12, -15, 4, 18, 7, 12, 16, -12],\n [-3, 0, -19, 17, 19, 15, 16, -6, 7],\n [-3, 13, 1, -10, -8, -17, 1, -14, 3]]\nB =\n[[-17, 7, -6, -20, -18, -7, 17, -20, 17],\n [17, 0, 8, -16, -11, 7, 0, -14, -18],\n [-1, -2, 14, -17, -16, -20, -17, -9, 6],\n [2, 4, 0, 3, 4, 11, 11, -16, 15],\n [18, -5, 12, 0, -12, -15, 14, 18, 1],\n [20, -16, 2, -4, -9, 2, -5, -18, 9],\n [1, -12, 8, 16, 2, -8, 11, 2, -4],\n [19, 0, -19, 16, -15, -3, 9, 1, 12],\n [9, -4, 11, -7, -11, 15, 13, -12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -7, 18, -2, -6, 7, 3, -13, -12, 12],\n [12, -2, -18, -11, 19, -20, 8, 13, -8, -20],\n [13, 8, -8, 8, 18, 3, 5, -4, -14, -8],\n [-16, 5, -18, -14, 18, -20, -4, 4, -18, -6],\n [8, 11, 5, -5, 4, 7, -12, -20, 8, 1],\n [-5, 20, 20, -14, -7, 8, -2, -2, -19, 20],\n [-6, -18, -10, 9, 19, -3, -19, 11, -13, 1],\n [-15, -9, 19, 15, -6, 7, -3, -19, -8, -6],\n [-1, 8, 8, -18, -2, -18, -7, 19, -17, -10],\n [10, 11, 6, 9, -19, -12, 7, 10, 13, -6]]\nB =\n[[4, 15, -13, -12, 16, 18, 11, -4, 14],\n [16, -2, 8, -14, 7, -12, 7, -15, 8],\n [-4, -5, 2, 10, -18, 0, 5, 15, 16],\n [1, -9, -8, -10, -5, -13, 19, 19, -19],\n [9, 9, -9, -11, -10, -6, -5, -4, 5],\n [-19, -9, 5, 2, -3, 11, 17, -18, 17],\n [-18, 9, -20, 9, 11, 7, 0, -8, 6],\n [15, -14, 1, -11, 18, -6, -6, -17, 11],\n [2, -15, 3, -1, 16, -1, -9, 12, 7],\n [-13, -20, 16, 1, -15, 0, 11, 14, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1194", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-16, -15, 4, 19, 8, -14, 19, -8, 17],\n [-3, -19, -13, -10, 12, 17, 6, -1, -9],\n [10, 6, 11, -11, -18, 6, 14, 10, -6],\n [-5, -8, 14, -10, 0, -10, 9, 14, 1],\n [17, 10, -7, 3, 11, 15, 11, -6, 14],\n [-18, -5, -16, 0, -11, -2, 4, -17, 8],\n [-2, -19, -11, 4, -1, -2, 2, 3, -10],\n [13, 7, -16, -16, 0, -9, -17, -1, 17],\n [4, -7, -10, 11, -10, -3, 6, -3, 2],\n [-10, 0, -16, 2, 20, 4, 20, -11, 1]]\nB =\n[[-2, -20, -14, -17, -20, -6, 19, -9, 1],\n [1, -4, 8, -7, -1, 12, -6, -9, 19],\n [-1, 9, 17, -18, 7, 5, 9, -8, -8],\n [-19, 16, 17, -19, 15, 5, -10, -13, 19],\n [1, -1, -13, 8, 19, 5, 9, -4, -1],\n [-5, -14, -5, 6, 2, 3, -12, 14, -1],\n [16, -4, 10, -13, -6, 10, 9, -1, 18],\n [-9, -4, 9, 8, -2, -10, 13, -14, 13],\n [-1, 17, 3, -11, 11, -6, 16, -1, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2607", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[16, 19, -13, 19, 2, 19, -10, -13, 8, 9],\n [-11, 18, 7, 15, -8, 11, 15, 16, 5, 1],\n [-17, 10, -3, 17, 3, 2, 1, -19, 10, -10],\n [7, 11, -16, 17, -11, 19, 3, 14, 2, -4],\n [-20, 10, 10, 13, -12, 1, -8, 4, -3, -9],\n [19, -4, -6, -6, -6, 18, -8, -4, 11, -12],\n [19, -1, 5, 6, 0, -3, -8, -5, -12, -9],\n [17, -2, -14, 14, -3, -5, 18, -17, 4, 11],\n [19, -8, -4, 16, -15, -2, -8, 5, -7, 10]]\nB =\n[[-17, 18, -13, 4, -8, 11, 17, 17, 7],\n [9, -18, 7, -18, 13, -5, 1, 11, 17],\n [-13, -13, -15, -7, 11, 14, -11, -18, -9],\n [10, 8, -16, 4, 20, 10, 0, -1, 18],\n [1, -17, -8, -1, -8, -4, 15, 12, -20],\n [-6, -8, -4, 3, -13, 6, 2, -13, -13],\n [5, -8, 18, 16, 7, 4, -5, -19, -3],\n [-4, 9, 18, -8, 11, 8, 9, -3, -8],\n [0, 9, 0, -4, 19, -2, -6, -12, -11],\n [10, 2, 9, 12, -12, -20, 14, -10, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1718", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -12, 11, -6, -9, 12, -7, -13, -13],\n [6, -9, -20, 19, -10, 18, 10, -4, 12],\n [11, 8, 0, 0, 19, 2, -15, 1, 17],\n [16, -13, 20, 14, -10, 3, 0, -19, 19],\n [-2, 18, 7, -4, -15, -2, 17, 7, -19],\n [17, 16, -17, 1, 5, 15, -8, 11, -4],\n [20, 15, -2, 14, 19, 7, -20, -3, 19],\n [12, -9, -13, 3, -5, -17, 17, 6, -12],\n [-5, -9, 10, 3, -7, 4, 13, -18, 3],\n [-12, 5, -1, 19, -11, -2, -18, 3, -16]]\nB =\n[[-18, 6, -5, -6, 14, -9, 20, 5, 13, 2],\n [10, -1, -9, 2, -17, 2, -20, 4, -19, 9],\n [-18, 0, 4, -1, 1, 0, 12, 17, -6, -6],\n [4, 0, 3, -16, -15, 2, -17, 6, -3, 0],\n [7, 14, 1, 19, 2, -18, 19, -11, 4, -13],\n [-10, -16, 16, 17, 8, -16, -12, -19, -20, 19],\n [9, -10, 7, -9, 18, 5, -8, -13, 7, 9],\n [-12, 18, 10, 0, 13, 10, 4, -9, -20, 1],\n [19, 16, -20, -20, 0, -6, -4, 1, 17, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32727", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (8, 9) of the product matrix AB given:\nA =\n[[-5, -13, -4, -4, 5, -8, -4, 17, -4, -7],\n [-15, 14, -7, -13, -6, 6, -8, 10, 14, -15],\n [-16, 1, 2, 4, 13, 5, -16, 5, -1, -15],\n [-15, -3, -17, -4, -7, -7, -8, -14, -6, -2],\n [14, -4, 14, -2, -1, 15, 14, 11, 19, 3],\n [-4, -14, -20, 14, 11, 15, -8, -15, -7, 16],\n [-6, -17, 19, -5, 7, -5, -17, 5, 7, 11],\n [-19, 10, -18, -13, 3, -6, 10, -12, 18, -19],\n [-13, -14, 18, -5, 14, 9, -11, 17, -3, -16]]\nB =\n[[8, 18, 13, 2, -16, 9, -15, -17, 8, 2],\n [-15, 11, -3, -6, 19, 11, -12, 16, -11, -1],\n [-15, -18, -10, -4, 11, -17, -17, -4, 20, -2],\n [-16, 11, 1, -15, 14, 1, -20, -1, 1, -10],\n [-8, -18, -12, -9, 2, -7, 12, -3, 20, -12],\n [2, -11, -2, -16, 2, 9, 4, 7, 13, 4],\n [-11, -7, 9, 20, 4, -7, 14, 13, -11, 14],\n [-10, -10, 0, 0, 1, -14, -4, -19, -9, -3],\n [-10, -5, -3, 14, 5, -5, -15, -9, -8, -17],\n [18, -19, 5, 6, 6, -6, -13, -14, 19, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -4, -4, 15, 0, -13, -16, 5, -5],\n [15, 7, 8, -9, 16, 9, 2, -5, -7],\n [-11, -14, 16, 8, -18, -6, 15, -2, -8],\n [0, 16, 6, 8, -1, 4, -15, 15, -19],\n [1, 11, -5, -3, -16, 15, 9, -2, 2],\n [13, -8, 8, 15, 1, 15, -12, 18, -2],\n [17, -15, -6, -1, -12, 11, -17, -3, -16],\n [-1, 2, -10, 16, 1, -17, 8, 13, -8],\n [-12, 10, -14, -17, -2, 9, 10, 14, 0]]\nB =\n[[10, -2, 10, 11, -19, -11, -19, -19, 3],\n [-4, 11, -5, -5, 18, 10, 3, -20, -10],\n [0, -17, -14, 5, -9, 10, -4, 12, -10],\n [7, 11, -20, 7, -14, -19, 3, -17, -2],\n [5, -10, 19, -10, -18, -9, -18, 6, -19],\n [-5, -19, 9, -1, 17, 7, 4, 11, -11],\n [19, 12, -8, 20, 16, -5, 1, -1, 6],\n [20, -5, 13, 11, 5, 4, -19, -9, 19],\n [-12, -9, 5, -12, -11, 11, 13, -1, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1084", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-19, -20, 15, 3, 6, -19, 10, -7, -19],\n [8, -6, -9, 16, 7, -1, 18, 3, 0],\n [-11, -7, 16, -3, 3, -7, 13, -9, 1],\n [-15, 15, 15, 1, -7, -5, 15, 4, 11],\n [12, 15, -1, -3, 17, -18, 2, 11, -5],\n [-16, -17, 0, 19, -7, 18, 10, -7, -15],\n [-9, -5, -4, 2, -7, -14, 11, -6, -4],\n [20, 13, -16, 6, 2, 19, -7, -6, 12],\n [10, 14, -4, 7, -2, 2, 11, 19, -8]]\nB =\n[[-1, 14, -16, -12, 8, -15, 4, 10, 1],\n [-19, -16, 6, 4, -13, -20, -1, 2, 11],\n [-10, 18, 3, -10, 8, 5, -5, 14, -1],\n [-18, -20, -20, -4, -19, 8, -1, -15, -13],\n [8, 12, -18, 14, -16, 6, -9, -1, -1],\n [-12, 18, -17, -2, 17, 6, -8, -8, 1],\n [7, 1, -2, -13, -13, 5, 5, 2, -8],\n [7, -12, -1, -2, 18, -9, -6, 10, -7],\n [-10, 5, 6, -10, 17, 13, -2, -15, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6418", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -20, 14, 19, -13, -14, -10, 18, -17],\n [4, -9, 5, 17, -9, 16, 3, -5, -8],\n [4, -17, -10, 11, -14, -10, 7, 20, 2],\n [2, 7, 5, 4, 8, -2, 12, 15, -7],\n [-7, 14, 9, 7, -4, -18, -5, 9, 8],\n [-6, 4, 17, 17, 2, 4, -14, 1, -4],\n [-3, 20, -11, -11, -14, 17, 6, 12, -20],\n [13, -17, -4, -17, 5, -17, -20, -14, 9],\n [-12, 14, -13, 3, -2, 15, 6, 11, -7]]\nB =\n[[-3, 7, 8, -5, 14, 10, -17, 16, -4],\n [18, 5, 18, 20, -17, 9, 9, 1, -10],\n [-19, -9, 9, 15, -3, 5, -14, -20, 5],\n [2, 5, -15, -15, -13, 3, 1, -2, 16],\n [-3, 10, 16, 9, 12, -11, 16, -9, 9],\n [6, 18, -12, 0, -9, 8, 12, -6, -19],\n [18, -3, -18, -14, -3, 17, 16, 12, 10],\n [-10, -17, -3, -17, 13, 8, 3, 1, -19],\n [-15, 4, 0, -5, 10, -7, 18, 7, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7707", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -12, 1, 11, -16, 2, -16, 11, -11],\n [18, -6, -14, 8, -18, -2, -11, 7, 8],\n [-6, 14, -15, -9, 17, -8, 8, -2, -18],\n [-13, -13, -1, -17, 0, -18, -13, 2, -5],\n [-8, -18, -12, -7, -8, -14, -6, -14, 17],\n [13, 20, 1, 3, 16, -20, -11, -5, -13],\n [4, -9, 4, -4, 5, -7, 20, 15, 2],\n [-15, -16, 4, -3, -8, -7, 7, -3, 7],\n [6, 11, -12, 19, 11, -1, 7, 12, -17]]\nB =\n[[13, -18, 5, -13, -15, -5, 3, 18, 9, -8],\n [-16, 4, -1, -3, -3, -19, -11, -9, -8, -10],\n [-2, 14, 18, 5, -7, 3, 20, -20, 1, 2],\n [-2, -3, -9, 7, 7, 12, -2, 7, 16, 5],\n [14, 13, 14, 19, -5, 17, -8, 2, 1, -5],\n [7, 14, -13, 1, 0, 5, 19, 0, 4, 20],\n [-20, -15, 2, 2, 2, 11, 9, -8, -3, 2],\n [-6, 12, 0, 18, 2, 6, -3, 3, 19, -14],\n [-1, 6, -15, 6, -12, 10, 0, 5, 19, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23296", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -1, 16, 7, -4, 7, 20, -19, 4, 20],\n [-15, -10, 17, -15, -10, -7, -19, 19, -18, 14],\n [12, 3, -2, -3, 3, 14, -20, 15, 4, 13],\n [4, -5, 13, 8, -2, 2, -2, 4, -5, -12],\n [-20, -2, 12, 13, -5, 19, -3, 13, 4, -15],\n [0, -15, 11, 20, 18, 10, -11, 9, -3, 3],\n [-12, 10, -6, -17, 19, -12, -12, 5, -17, -4],\n [-5, -6, 14, -16, -16, -1, -6, -3, -19, 8],\n [-8, -17, -11, 10, 20, -13, -18, -12, 9, -10]]\nB =\n[[14, 16, -8, 15, -8, -9, 16, -11, -12],\n [-14, -19, 2, 18, 19, 18, 0, 2, 8],\n [-7, 5, -16, 10, 4, 10, -1, -4, -19],\n [4, -8, 18, 7, -15, -18, 14, -3, -10],\n [-1, -16, -2, 1, -2, -5, 3, 20, -17],\n [-6, 4, 14, -7, -2, 17, 15, -14, 9],\n [-2, 4, -5, 19, -13, -3, 7, -5, -2],\n [-4, -8, -14, 6, -11, 13, 15, 4, -15],\n [3, -3, 2, -15, 8, 4, -4, 3, -10],\n [5, 13, 7, -18, -10, 17, -7, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25716", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[18, 9, -13, -1, 11, 1, -14, -12, -20],\n [8, -13, -17, 14, -18, 19, -14, 6, -20],\n [6, -5, 17, -14, 2, 20, -10, 12, 15],\n [16, 20, -4, 14, -16, 11, -18, 14, -7],\n [10, 10, -4, 3, 2, -3, -7, -6, -6],\n [-15, 6, -6, 15, -13, -6, -18, -8, 20],\n [13, 3, 19, 11, 11, 9, -8, -20, 13],\n [-6, -7, 8, 13, -3, -14, 8, 10, 4],\n [17, -7, -13, 6, -19, -4, 16, -7, 4]]\nB =\n[[9, 8, -1, 0, 1, 14, 16, -5, -4],\n [-5, -19, -17, 0, 18, 13, 9, -15, -4],\n [18, 4, -16, -16, -1, -5, 20, 16, 19],\n [-12, -16, -19, -12, 15, 1, 1, 1, 13],\n [8, 17, 12, -3, -14, -20, 12, -20, 3],\n [-17, -17, -3, 6, 11, 12, 7, 20, 15],\n [-15, -5, 13, 2, 3, -8, -3, -8, 16],\n [18, -4, -6, -3, 2, 9, 13, -17, -18],\n [-14, -3, -14, 19, -15, 1, -20, -17, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26566", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, -7, -12, -9, -15, -1, 3, 6, 17],\n [-13, -20, 3, -14, -2, 1, 14, 9, 8, 1],\n [-10, -1, 8, 20, 13, -20, 10, 9, -3, -4],\n [17, -7, 2, 4, -6, 1, -18, -2, 13, 14],\n [-20, 0, 8, -15, 16, -20, -20, 6, 0, -5],\n [19, 5, -5, 7, -20, 15, -11, -4, 2, -14],\n [-14, -6, 13, -17, -7, -7, -5, -14, 11, -2],\n [-19, -11, -4, 16, -9, -15, 1, 11, 20, -1],\n [-20, -15, -2, -3, -15, 12, 2, 2, 5, -8],\n [-14, -6, 6, 5, 12, -6, 15, 6, -16, -19]]\nB =\n[[12, -5, 2, 17, -5, -7, 8, 5, 14, -6],\n [-18, 2, 8, 13, 12, 20, 20, 2, -14, -18],\n [11, 10, -3, -14, 20, -20, -7, 11, -15, 18],\n [-11, -14, 5, 13, 9, 15, 0, -4, 12, -11],\n [-9, -5, 20, 11, -6, 6, 7, -4, -19, 15],\n [-14, -8, -6, 4, 2, 1, 5, 12, -10, -11],\n [4, 16, 17, 20, 3, 19, 12, -4, 3, 16],\n [-19, 11, 3, -12, -17, -4, -4, 9, 19, -10],\n [0, 0, -3, 8, 3, -11, -4, -3, -1, 16],\n [-3, -4, -12, -7, 8, 10, -17, -3, -1, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3979", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -6, 6, -6, 7, 16, -2, 5, 5, 4],\n [5, 5, 7, -3, 11, -18, -19, 12, -2, -4],\n [12, -9, -18, 5, 14, -13, 15, -14, 15, -5],\n [3, -20, 4, -11, -5, -5, -13, 8, 18, 7],\n [-15, -5, -1, -5, -14, 20, -7, 5, 5, -7],\n [-14, 12, 5, -1, -18, -17, 5, -10, -19, -7],\n [9, -9, 5, 12, -8, -7, 3, 13, 5, 0],\n [7, 15, 19, -19, -12, 2, -6, -8, 2, -4],\n [-19, -1, -1, -18, -9, 19, -19, 15, -7, -5]]\nB =\n[[-2, 13, -15, -8, 15, 1, -3, -9, 9, 19],\n [-14, 11, -2, -15, -1, 6, 16, -14, -16, -10],\n [-6, -18, -16, 2, 16, -12, -6, -18, 8, -15],\n [-4, 5, 0, -13, 0, -10, 17, -13, 3, 14],\n [-7, -7, -11, -9, 17, 13, 20, -11, -4, -4],\n [-18, 10, -20, -9, 18, -17, -8, 13, 0, 1],\n [-17, -3, -16, -2, -19, -9, -4, -11, 13, -15],\n [-13, -10, -9, -12, -19, -13, -10, 15, -11, 0],\n [-1, -13, 15, 8, -9, -7, 0, 1, 0, 9],\n [18, -1, 3, 2, -14, -12, -20, 5, 17, 17]]\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[[1, -11, -15, -4, 17, 3, -11, -13, 0],\n [-15, 0, 18, 3, 12, -3, 7, 11, -9],\n [6, -11, 11, 5, 4, -10, 2, 13, 19],\n [2, 8, 10, -14, 19, 12, 0, -19, -3],\n [12, 16, 13, -1, 14, -3, 3, -13, 9],\n [-11, 2, -10, -19, 5, 15, 12, -8, 19],\n [4, -17, -2, -3, 16, 9, -2, 2, -5],\n [-20, -9, 3, 13, -13, -3, -16, 5, 9],\n [-8, -2, 8, -18, 5, 19, -9, -19, -10]]\nB =\n[[7, -3, -8, 16, 1, -9, -19, 16, -14, 5],\n [5, 3, -9, -5, 2, 19, -12, 11, -6, 16],\n [-8, -16, -10, -11, -8, 20, -6, -14, 19, 7],\n [11, 14, -6, 15, 0, -15, -20, -17, -10, 5],\n [16, 2, 8, 0, 6, 18, 19, -8, 2, -5],\n [9, -17, 19, -5, 10, 4, -9, 5, 16, 12],\n [7, -12, -9, -16, 7, 14, -16, 13, 13, -8],\n [18, -7, -10, 17, -17, 12, -14, 20, -13, 16],\n [-11, -6, 17, -6, -16, 8, -2, -11, -9, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3515", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -3, -5, 19, 15, 4, 2, -9, 13, 15],\n [16, -18, -12, -3, 14, 13, 20, -7, -17, 8],\n [20, -6, 7, -5, -9, -16, 13, -20, 18, 11],\n [5, -4, 6, 3, 14, 18, 5, 17, 2, 1],\n [-17, -12, -17, -14, 2, -19, 3, 19, 10, 10],\n [19, 13, 3, 5, -5, -8, -6, 6, -17, -5],\n [9, 9, 15, -18, 1, 1, -9, 0, -17, 10],\n [10, 2, -1, -6, 2, 7, -5, 16, 0, -6],\n [-4, 16, -8, -2, 9, -3, -7, 15, 15, -1]]\nB =\n[[-2, -14, -17, 13, -19, -16, -11, 11, 20, -8],\n [18, -16, -11, -11, 17, 6, 0, -13, -20, 7],\n [18, -7, 0, 9, 0, -12, -4, -16, 10, 19],\n [17, -2, 15, 12, -8, -7, 12, 8, 15, -11],\n [10, -15, -20, -14, 6, 0, 7, -5, 2, -1],\n [17, 4, 7, -16, 0, -3, -15, 8, -2, 12],\n [-20, -18, 0, 14, 20, 19, -18, 4, 17, -1],\n [13, 0, 2, -15, -8, 2, -12, -4, -19, -2],\n [-2, -14, -1, -12, -4, 6, -19, 15, -2, -4],\n [-16, 18, -3, -14, -4, 18, 15, 19, -17, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5615", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -16, 9, -9, -17, 3, 8, -12, -17],\n [3, -7, -16, -3, -2, -9, -3, -4, 9],\n [3, -10, 14, 2, -4, -20, -6, 11, -12],\n [-6, 7, 3, 14, 1, 6, -2, -9, -1],\n [-20, 0, -20, -11, 11, 18, 1, -3, 11],\n [6, 7, -3, 18, 8, -3, -13, 10, 13],\n [-14, 15, -3, 17, -12, -12, -13, 14, -3],\n [-16, -7, 7, 9, -17, 18, -1, 4, 7],\n [-9, -19, -7, 1, 10, 2, -1, 17, -17],\n [-6, 3, 4, -20, -14, 10, -9, -16, 17]]\nB =\n[[-9, 18, -3, -19, -11, -6, 9, -4, -17],\n [-14, 20, 10, 18, 13, -15, 17, 13, -6],\n [-7, -15, 16, 11, -18, -18, 1, 1, -11],\n [-18, -9, 8, -4, -14, -8, -19, -17, -11],\n [18, 3, -4, -15, -2, -16, 11, -11, -12],\n [6, -8, -2, 0, 3, 17, -17, 3, 14],\n [-18, -17, 16, 19, 14, 10, 4, 19, -8],\n [-17, -7, -8, 6, -15, -4, 15, 19, 14],\n [-4, 20, -19, -8, -19, 7, 5, 1, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-892", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[14, -9, 3, -16, -1, 18, 18, -8, 20],\n [-9, -8, -11, 12, 19, -5, 14, -18, -16],\n [5, -10, -14, -11, 13, -18, -13, 10, -10],\n [-14, -19, -15, 20, 11, -1, 13, -5, 4],\n [-9, -14, 18, -4, -10, -15, 2, 6, -15],\n [17, -19, 1, -1, 4, -6, 8, -13, 16],\n [12, 1, -16, 18, -3, 17, 16, 9, 10],\n [-11, -6, -3, 2, 12, -5, 17, 14, 13],\n [7, -19, 9, -8, 20, -5, -16, 7, 18]]\nB =\n[[-1, 3, 6, 9, 6, 5, -14, 17, -16, 2],\n [7, 13, -6, 11, 5, 10, -2, -12, 8, 18],\n [-17, -18, 8, -10, 12, 17, -10, 6, 12, 0],\n [18, 10, 17, -19, 6, 15, -10, -3, -20, 14],\n [14, 10, 7, 18, -20, 4, 17, -1, -18, -19],\n [-3, -11, -16, -12, -19, 13, 17, 10, -11, -9],\n [15, 0, -15, -18, -11, -16, 5, 0, 5, 17],\n [5, -13, -16, -6, -5, -20, -5, 16, -18, 10],\n [-8, -5, 0, -19, 6, 17, 5, 17, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35336", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-13, -13, 12, -14, 17, 0, -13, 0, -1, -13],\n [10, 8, -12, -6, 9, 5, -11, 8, -5, 15],\n [-1, 16, 1, -14, 2, 20, 19, 8, -5, 17],\n [7, 17, 10, -7, 12, -12, 6, 3, -8, 5],\n [8, 7, 7, -13, 2, 8, -16, -14, 15, 20],\n [6, -19, 4, -12, 6, -20, 2, -11, 4, -18],\n [-15, -15, -19, -3, 2, -19, -9, 1, 16, -1],\n [18, 3, -1, -20, -20, -4, -20, 9, 20, -18],\n [-10, 3, 1, 5, -8, -20, 3, -11, 14, 3]]\nB =\n[[7, 15, -5, 19, -5, -4, -6, -5, -6],\n [13, -10, -20, -6, 5, -17, -16, 14, -8],\n [-11, -10, -3, 13, 18, 20, 2, -14, 18],\n [-18, -9, -14, 5, 12, 16, -6, -19, 20],\n [-14, 11, -17, -1, 15, 11, 7, -8, -20],\n [14, 9, 15, 4, -5, -2, -20, -16, 1],\n [3, 16, 15, 15, -17, 15, -3, -5, 20],\n [-3, 1, -19, 0, 15, 18, 18, 8, 5],\n [0, -4, -5, 10, -12, 10, -7, 16, -19],\n [-7, 12, 14, 18, -1, -19, 20, -2, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2920", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, -17, -9, 8, -14, -7, -9, 14, -16],\n [-4, 11, -11, -4, -16, -12, 12, 15, 15, -3],\n [-12, 8, -7, 4, -6, -15, 8, -6, 8, -17],\n [-3, 18, -5, -10, -7, -18, 17, -3, -1, 4],\n [17, -8, -17, -7, 12, 7, 16, -13, 13, -16],\n [-16, 10, -12, 11, 12, -18, 9, -9, 8, -18],\n [5, 9, -12, 5, -19, -18, -17, 4, -8, 18],\n [14, 2, -12, -19, 20, 10, -19, 11, -3, -8],\n [-16, -11, 4, 13, 16, 9, -14, -15, -18, -8]]\nB =\n[[-18, 5, 3, -15, -9, 15, -19, -10, 18, 13],\n [5, -3, 0, 15, 19, 1, 9, 9, -13, 13],\n [-12, -1, 19, 4, -2, -16, -10, -6, -13, -2],\n [2, 6, 19, 11, 5, 6, -2, 8, 18, 20],\n [12, -2, 16, -2, 12, -5, 2, -14, 5, 11],\n [-9, -13, -16, 7, -16, 5, -16, 1, -6, -8],\n [7, 12, 2, 12, -3, 9, 5, -5, -8, 18],\n [12, 5, -20, 17, -19, -15, 17, 3, -3, 6],\n [20, -13, 7, -11, -4, 8, -15, -7, 1, -15],\n [5, 18, -9, 14, -7, 1, 2, -14, 19, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29352", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 0, 20, -11, -12, -6, -19, 4, -8, 13],\n [13, 14, 17, -18, -15, -2, -18, -3, 18, -12],\n [-9, -16, -18, -10, 9, -17, -16, -20, 6, 7],\n [8, -3, -9, -8, 20, -19, 16, -5, 3, 14],\n [1, 15, -10, 8, 14, -6, 10, 20, -5, -11],\n [11, -19, 3, 2, -19, 17, 10, 19, 5, 8],\n [-18, -7, 4, -20, -18, 5, -3, -12, 17, 2],\n [0, -20, 0, 6, -15, 15, 7, -4, 19, -18],\n [-9, 18, -9, -19, 1, 2, 9, -16, -12, 0],\n [-10, -16, 14, 6, -19, 3, 10, 12, 18, 9]]\nB =\n[[16, 7, 10, -10, 2, -19, 19, 20, 6],\n [14, -19, 18, 16, 0, -16, 0, 8, -1],\n [17, -1, 4, -19, 11, 5, -15, 20, -18],\n [12, -20, -16, -8, -2, -9, 4, 14, -9],\n [9, -16, 13, 1, 18, -8, -18, -1, 10],\n [-16, 3, 19, 12, -13, 3, -1, -5, -9],\n [-8, 18, 4, 11, 3, -12, 19, 2, -8],\n [11, -6, 15, -16, 1, -5, 20, -11, 3],\n [-3, -3, -14, -17, 5, -16, -5, 14, 5],\n [-3, 8, 2, -7, -6, 12, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1791", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[2, -4, -7, 8, -1, 9, -2, 18, -8],\n [-3, 2, 12, 18, 19, -3, -12, 12, 11],\n [-4, -2, 6, -15, 14, 16, 13, -1, 4],\n [-17, -11, -11, 3, 0, -10, 6, -5, 5],\n [9, -5, -14, -5, 14, -5, 19, -9, 14],\n [0, 15, -4, 11, 20, -15, 3, 6, -1],\n [4, -19, -12, 7, 17, -18, -1, -15, 18],\n [12, -20, 16, -15, 13, -6, 5, -7, -14],\n [10, 3, 10, 8, 11, -4, -7, 19, 15]]\nB =\n[[3, 6, 4, 11, -3, -3, 16, 5, -12],\n [14, -13, -1, 1, -2, 9, 7, 14, -10],\n [10, 18, 15, 9, 2, -2, -9, -6, 10],\n [16, 16, -6, 8, 5, -19, -1, -6, -17],\n [1, 17, 2, 5, -10, 7, -19, -13, 8],\n [-10, 16, -3, -7, -11, 14, -12, 14, -10],\n [-9, -18, 18, -7, 7, -10, 18, 4, 0],\n [-11, -6, -2, 1, 0, 11, 2, -8, -16],\n [-17, 7, -7, -13, -12, 14, 16, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[12, -13, -4, 10, 13, -15, 1, -7, -18],\n [-9, 15, -9, -19, -19, -6, 2, 8, -4],\n [11, -14, 9, 7, -7, 9, -4, 11, -15],\n [3, -15, 6, -3, 3, 16, 3, 17, 13],\n [19, -6, -10, 1, 3, -20, -3, -9, 7],\n [19, -14, 2, 0, 13, -10, 1, 14, 8],\n [7, -3, -7, -3, 7, 3, -13, -13, -17],\n [6, 15, -16, 12, 13, 9, -13, 18, 5],\n [16, 13, -14, 19, 7, 18, 18, 7, -7]]\nB =\n[[17, -17, -3, 4, -14, 17, 7, -16, -18],\n [10, -1, -2, -10, 19, -18, 2, -14, 2],\n [-14, 13, -2, -12, -3, 20, 4, -7, 4],\n [-2, 18, -6, -5, 6, 19, -11, -17, -2],\n [7, 0, -7, 12, -11, -2, 9, 1, -18],\n [16, 20, -3, -10, -19, -9, -15, 19, 8],\n [9, -19, -12, -19, 8, 12, -11, 13, -13],\n [16, 12, -15, 19, -2, 11, 6, -20, 12],\n [19, 11, -16, -4, -13, 13, -12, 2, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-765", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, -6, -1, 4, -18, 3, 13, 1, -10],\n [-13, 18, 14, 17, -13, 16, 6, 7, 19],\n [13, 11, -6, -4, 12, -5, 8, -12, 12],\n [8, -8, 0, 0, -16, -11, -15, -8, -20],\n [-1, -13, -11, -12, 20, -18, -10, -9, -11],\n [4, 4, -10, 15, 18, 5, -7, 18, 19],\n [-20, -17, 9, -9, 14, -8, 10, 17, 2],\n [-17, -5, -14, 1, 8, -10, 12, 8, 18],\n [-9, -14, 18, 5, 19, -12, 20, 13, -8]]\nB =\n[[15, 4, 3, -4, -19, -8, 10, 8, 7, 6],\n [-6, 10, 19, -6, 12, -1, -9, 16, -12, 2],\n [-13, 11, -7, 6, 4, -8, 0, 10, 16, -16],\n [-8, 7, 4, 14, 18, -14, 17, 11, -18, 18],\n [16, 1, -13, -4, 6, 12, -4, -9, 6, -13],\n [2, 8, -1, -5, -4, -5, -2, -13, 17, 17],\n [8, 20, 15, 5, 10, -9, -4, -6, -12, 18],\n [-9, 11, 4, 18, -3, -6, 11, -15, 14, 13],\n [17, -16, -3, -5, -13, 4, 11, 5, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1580", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[-11, -9, 7, -15, -1, -16, 2, -12, 8],\n [-5, 1, -13, -1, -7, 18, 16, 13, -10],\n [19, 12, 10, 13, -14, 2, -14, 4, -18],\n [17, -1, 13, 9, -4, -11, 14, -1, -3],\n [6, 15, 2, 11, -11, -10, 17, -15, 20],\n [13, 15, 16, -4, 19, 19, -9, 0, 19],\n [-2, -18, -3, -2, -15, -5, -13, -3, 18],\n [-9, -11, -14, -20, 15, 0, 16, 3, 4],\n [-14, -4, 8, 9, -14, 12, -14, 3, -10]]\nB =\n[[-12, -9, 14, -17, 15, 7, -8, 2, -2, 16],\n [18, 3, -5, 12, -9, 13, -14, -10, 10, 8],\n [-8, 10, -19, 18, -6, -10, 13, 18, -17, -10],\n [8, -19, -5, 18, -8, 16, -4, 0, -2, -14],\n [17, -13, -8, 16, -19, 20, -10, 3, -15, 5],\n [-14, 18, -2, -15, 8, 18, -19, -2, -17, -15],\n [16, 7, 9, -14, -12, 4, 12, -20, -15, -3],\n [-11, 7, -10, 12, -20, -8, 16, -1, -20, -18],\n [-3, 20, -7, 10, 6, -4, 8, 15, 16, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 1, 4, -19, 1, -16, -17, 15, -15, 0],\n [-8, 16, 4, 5, 18, -1, 12, -7, 15, -4],\n [0, -5, -5, -1, 8, 7, -13, 3, -18, 4],\n [-2, 12, -19, -6, 1, -11, -3, 1, 6, -8],\n [12, -16, 5, -8, 6, -7, 3, -18, 9, 14],\n [-7, -9, 7, 8, -4, 19, 0, 2, -1, -10],\n [13, -11, -11, -15, 15, 3, -9, 2, 6, 16],\n [-15, -20, -15, 1, 20, 3, 4, -6, 5, -13],\n [3, 17, -15, 14, -20, 15, -9, 17, -10, -9]]\nB =\n[[18, -14, -10, 15, 10, 12, -8, -3, 20, 3],\n [-12, 10, 20, -11, -19, 17, -6, -18, 10, -15],\n [-18, -10, -6, 7, -11, 17, -14, -6, -3, -3],\n [20, 3, -19, 19, -1, 13, 5, -14, 17, 9],\n [-16, -10, -20, 13, -20, -2, -19, 0, -1, 2],\n [0, 3, -17, -9, 1, -1, -3, -20, 9, 12],\n [3, -7, 15, -16, -10, 3, 10, -8, -5, 3],\n [-8, 3, 5, -19, -5, 17, -20, -10, 14, 8],\n [16, -4, 18, 7, 8, -18, -11, -7, -9, 9],\n [11, 11, 11, 5, -20, -19, -4, 9, 18, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2404", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -12, 1, 13, -20, -12, -1, -2, 15, 19],\n [-17, -12, 20, 1, -3, -9, 18, -12, -15, -2],\n [-14, -5, -16, -5, -20, 16, 18, -2, 16, -4],\n [5, 1, -13, 12, -19, 9, -1, -3, -11, 3],\n [-17, 16, -17, -8, 4, -8, -3, 3, -19, 12],\n [-2, -12, 7, 14, 18, -11, -20, 0, -12, -6],\n [14, -16, 20, 1, 20, 2, -14, 2, 4, 6],\n [20, -15, 13, -12, 12, -15, 16, 10, 13, 20],\n [8, -7, 15, 15, -6, -13, 5, 15, 0, 7],\n [-17, -5, 1, -9, -5, 19, 17, 16, 8, -3]]\nB =\n[[-11, 18, -3, -20, 18, 0, -20, -6, -17],\n [-1, -11, 2, 20, 13, 12, 13, 18, -11],\n [-1, -20, -8, -20, -16, -5, -6, 7, 10],\n [2, -4, 13, -8, -7, -10, 7, 11, 14],\n [10, -4, -12, -11, -13, 0, -8, -16, -15],\n [9, 10, -4, -10, -1, -12, -19, 16, -20],\n [-17, 15, 4, -18, -12, 1, 2, -9, -11],\n [13, -11, 9, 1, -15, -19, 9, -19, 11],\n [-5, -9, -20, -13, -8, -6, -13, -11, -16],\n [-2, 17, -10, -1, -1, 0, -3, -11, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4488", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[5, 9, -12, 10, -17, -15, -7, -17, 5],\n [18, -4, -2, -15, 8, -10, -5, 9, 4],\n [19, -10, -14, 5, 1, 4, -2, 10, 5],\n [20, 15, 2, -8, 4, -19, -19, -5, -12],\n [7, -8, 14, 20, -8, 10, 0, 11, 13],\n [-13, 20, -19, 17, 11, 19, 7, 16, 20],\n [-20, 20, -11, -17, 14, -11, -10, -7, 17],\n [-9, -4, -5, 14, -19, -10, 20, -18, 8],\n [-3, -1, -7, 13, 10, 19, -3, 9, 4]]\nB =\n[[-2, -13, 7, -13, 10, -18, -18, 1, -4],\n [15, -4, -7, -12, 9, 0, -9, 16, 11],\n [-10, -1, 14, -10, -13, -17, 6, 19, 17],\n [9, 6, 0, -1, -17, -10, -8, -12, -17],\n [-9, -12, -8, 5, 17, -8, 18, 7, -2],\n [3, -2, -8, -8, 7, -19, -11, 1, -8],\n [-12, 12, -7, -1, -6, 11, 12, -4, 3],\n [9, -8, -5, -19, -4, 11, -13, -18, -9],\n [-1, -5, -7, -5, 12, 9, -9, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 2, -7, 9, 12, -6, -14, -6, 17, -10],\n [8, 10, 4, 3, -2, -19, 1, -1, 12, -13],\n [4, -12, 13, 2, -16, 4, -13, -5, -6, -20],\n [1, -18, 17, -7, 15, -3, 20, -3, -18, -11],\n [18, -20, 6, 6, -10, -16, -14, -2, 8, -6],\n [14, 16, -9, 9, -1, 16, -18, -12, 20, 18],\n [5, -19, 2, 2, 0, -5, -12, -8, 7, 6],\n [-4, 17, 15, -20, -3, -12, -8, 19, -6, -17],\n [12, 3, 15, 20, -11, 15, -1, 20, -10, -9]]\nB =\n[[-3, 9, 16, -1, 4, -9, 0, 4, -10, -12],\n [4, 14, 11, -7, -20, -4, 4, -13, -16, -16],\n [20, 14, -2, 2, -12, 9, -5, 12, -19, -7],\n [-20, 5, 4, -5, -6, 5, -5, -7, 8, 3],\n [-6, -2, -13, 13, -19, 6, -11, 14, 2, -13],\n [7, 2, -17, -7, 8, -20, -17, 11, 12, 5],\n [-4, 18, 2, 11, -6, -8, -19, -2, 3, 3],\n [-10, 1, -6, -11, 20, 6, -12, 7, -20, -4],\n [10, -11, 16, 8, -3, 17, 18, -15, 19, -9],\n [-7, -11, -1, -6, 10, -14, 20, -11, -11, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3959", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 9, 16, -18, -6, 0, 16, -9, -17],\n [-12, 18, 7, 2, 19, 1, 3, 5, 9],\n [12, -5, 1, -3, -14, 5, -13, -15, 9],\n [18, 2, 11, 1, -12, 10, -14, -12, -8],\n [-18, 14, 12, 0, 10, 13, 11, 14, -6],\n [11, -15, 0, 12, 11, -2, 12, 7, 10],\n [0, 13, -6, -7, -2, -6, -15, -12, 16],\n [-1, 13, 17, 5, -3, 7, -12, 11, -15],\n [-7, 7, 3, -8, -9, -2, 0, 6, -2],\n [3, 5, 7, -3, 15, 8, -4, -17, 8]]\nB =\n[[-17, -11, 4, 10, -18, -19, 4, -15, 5, -13],\n [14, 6, 4, -3, -20, 18, -18, -17, 20, 16],\n [-6, -13, 17, -2, 5, 18, -11, 17, -7, 20],\n [-2, 9, -16, 10, -14, -2, 10, 18, 3, 13],\n [2, 19, -15, 17, 20, 15, 6, -10, -16, -4],\n [-14, 6, -6, -8, -10, 5, 1, 7, 3, 8],\n [-12, -17, -3, -5, 12, 8, 18, -11, -12, 10],\n [7, -18, -7, 4, -6, -19, 3, -7, -14, 15],\n [3, 6, 16, 17, 9, 6, 18, -6, 5, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3709", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-17, 8, -20, 1, -10, -11, -4, 15, 5],\n [0, -8, -12, -10, -10, -15, -20, -15, -8],\n [1, 10, 1, 16, 6, -7, -16, 15, 11],\n [13, -14, -11, -4, 9, 0, -8, -20, -20],\n [12, 17, 4, 5, -8, 7, 12, 16, 20],\n [9, -13, -20, -9, -16, 3, -15, 4, -20],\n [4, -20, 11, -18, -2, 8, -19, -12, -4],\n [15, -4, -9, -1, -18, -17, -4, 16, -6],\n [12, -5, -10, -1, 17, 3, -5, 9, 13],\n [-20, 3, 3, -12, 1, -9, -4, 4, 7]]\nB =\n[[-6, 9, 6, 1, -11, 10, 6, -9, 10],\n [11, 11, 20, 14, 0, -11, -5, -14, -17],\n [6, 4, 10, -10, -1, 15, -4, -10, 9],\n [14, 20, 17, 1, 6, 16, 14, -17, -5],\n [-5, 0, 5, 15, -2, -4, 5, 1, 7],\n [-20, 15, 16, -19, -4, 19, 17, 0, -12],\n [-8, -10, -5, -5, -19, -13, -8, -4, 18],\n [3, -18, 9, -8, -2, -14, -12, -2, 19],\n [1, -3, 2, -19, -10, 10, 12, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-563", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 12, -14, 10, -7, 7, -5, -2, -4],\n [5, -15, -12, -4, 10, -9, 2, -16, 15],\n [15, -18, 3, -4, 18, 5, -17, -9, -20],\n [0, -2, 0, -3, -18, 11, -11, 19, -6],\n [-16, -17, 7, -17, -6, -4, -18, -11, 2],\n [-3, -20, 14, 10, -20, -18, -18, 16, -2],\n [8, 4, 12, 15, 8, 5, -17, -7, 6],\n [12, 1, -18, 2, 0, 20, 2, -17, 0],\n [16, 10, 0, 5, 20, 14, 17, 3, -10],\n [20, 8, -18, -20, -2, 1, -7, -7, -5]]\nB =\n[[12, -8, 17, -9, 17, 18, 12, 12, 8, -16],\n [-15, 10, -5, 10, 4, 12, -8, -11, 3, -11],\n [20, 10, -8, -18, 13, 7, -2, 2, 11, -8],\n [12, 13, 12, -16, -18, -14, 3, 1, 2, 9],\n [-3, 11, -14, 12, -16, 7, -13, -6, -17, 13],\n [-16, 12, -16, 17, 13, 5, -20, -17, 18, 5],\n [12, 12, -13, -1, -5, 0, 5, 2, -3, 10],\n [-9, -20, -12, -18, 5, -12, -5, 3, -7, -18],\n [13, 12, 3, -12, -8, -19, -14, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2073", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -10, 12, 11, 0, 18, -1, -13, 16, -12],\n [4, 4, 12, -19, -2, -1, 20, 8, -15, -4],\n [4, 17, -17, 9, -1, -18, 2, -3, 5, 15],\n [-13, -4, 10, 16, 12, 6, -17, 1, 5, 11],\n [3, 14, 16, 11, -14, 12, 10, -9, -10, 3],\n [-13, 11, 17, 1, 13, -2, -1, -7, 12, -11],\n [-5, -17, 6, 7, -5, 12, -2, 0, 1, -12],\n [-12, -12, 6, -4, -13, -5, -3, 12, -20, -9],\n [-15, 20, -16, -5, -3, -3, -20, -2, -13, -18],\n [4, -16, 19, -2, -3, 10, 12, -3, 18, -5]]\nB =\n[[-5, 17, 20, -14, -7, 4, 11, 17, 1],\n [-5, 8, -5, -9, -4, 16, 6, 4, -8],\n [-13, -16, -9, 20, -18, 14, 12, 1, -12],\n [20, -3, 8, 18, 6, 15, -4, 13, -18],\n [-16, -7, -18, 2, 18, 9, 2, 6, -11],\n [4, -8, -5, 20, 13, 16, 1, -4, 2],\n [15, -12, -19, 11, 1, -8, -13, -20, -4],\n [-9, -17, -8, 10, 20, -14, 2, 3, -16],\n [-16, -4, 9, -12, -15, 4, -2, -5, 0],\n [-19, -11, -5, 16, -6, -8, -8, 11, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1865", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-3, 15, 5, -11, 10, 12, 8, -16, -8],\n [-20, 2, 19, -18, -18, -14, 15, 14, -6],\n [19, -18, 8, 9, 18, -3, -10, 17, 19],\n [-20, 8, -11, 7, 10, -2, -18, 15, -6],\n [12, 20, 5, -5, 15, 12, -1, -8, 12],\n [-16, 16, -7, 6, 2, -7, 19, -17, 18],\n [-2, -17, 9, -2, 10, 10, -12, -8, -7],\n [-11, 10, 16, 2, 6, -15, 5, -19, -8],\n [-2, -20, 19, 11, 1, 8, -19, 19, 17],\n [-10, -4, -13, 1, -17, -10, -13, -12, 5]]\nB =\n[[-19, -5, 10, -15, 0, 5, -2, 7, -13],\n [-7, 3, 16, 5, 10, 11, 20, -19, 4],\n [-19, -20, 15, -9, -12, 15, 20, 7, 17],\n [12, 1, 4, -3, -15, -3, -5, -6, -13],\n [-8, -14, -4, 11, 1, -8, 2, 8, 1],\n [-20, 8, -16, 14, -11, -2, 16, -14, 14],\n [-8, -11, -19, -15, -13, 15, 4, 19, -14],\n [2, -2, 1, -8, 0, -20, -2, 12, -17],\n [-18, 6, 20, 14, 7, -15, -15, 2, 12]]\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[[-5, 3, -16, 20, -8, -9, -16, 16, 10, 7],\n [7, 9, -3, 6, 14, 5, 18, -3, 12, 4],\n [10, 16, -19, 12, 18, 11, -3, -4, 13, 18],\n [-14, 14, 9, -9, 14, -10, -17, 4, 11, -1],\n [10, -17, 17, -20, -18, 16, 1, -4, -7, 20],\n [14, -8, 14, -19, -8, -5, -3, -14, 15, 20],\n [9, 20, -14, -6, 19, -2, 16, -19, -8, 19],\n [20, 10, -5, -15, 7, 11, -11, -3, -17, -12],\n [-14, -13, -14, 20, 19, -18, -4, -19, -6, 8],\n [1, -17, -15, 17, 5, -10, 5, -4, 3, 7]]\nB =\n[[14, 10, -8, 14, -5, -6, -3, 16, 20],\n [6, 14, 14, 7, 18, 17, -12, -9, -6],\n [0, 14, 12, -2, 2, -8, -20, 8, 3],\n [-5, 4, 2, 7, -5, 17, -10, -18, -6],\n [-20, -14, -20, 11, -12, 8, 5, 2, 8],\n [17, 12, -14, -9, 10, 11, -1, -4, 15],\n [-18, -20, 6, 19, 12, -1, -7, 15, -16],\n [2, -6, -15, 12, -2, -8, 8, -15, -6],\n [-5, 3, 2, -11, 20, 20, -4, 9, -11],\n [-2, 8, -19, 15, -2, -14, 5, -6, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2338", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-18, 17, -5, -19, 10, 7, -14, 9, -14],\n [15, 8, 3, 18, -17, 8, -16, 8, 9],\n [8, 5, -2, 5, 16, 6, 9, 9, -18],\n [-14, -12, 20, -8, -6, -16, 8, 14, 6],\n [6, -13, 11, -1, -11, -8, 8, 14, -13],\n [8, 10, 20, 9, 1, 0, -9, -10, -19],\n [20, -19, 13, -18, -5, -17, 2, -1, 4],\n [9, -3, -10, 8, -4, 5, 2, -1, -19],\n [3, 10, 6, -19, -7, -17, -8, 15, 14]]\nB =\n[[-13, -19, -15, 10, -11, 0, -11, 2, -18, 11],\n [-1, -11, 8, 20, 13, 16, -1, -13, -14, -15],\n [-10, -3, 8, 4, 0, -18, -3, 3, 17, -11],\n [6, -9, -14, -4, -20, 5, -6, 12, 16, 10],\n [14, -20, -13, -9, -2, 4, 11, -9, -8, 7],\n [-20, -15, -13, -17, -16, 4, 1, 7, 18, 2],\n [-17, -17, 0, 16, 20, -19, -14, -5, -4, -1],\n [2, 13, -10, 13, 12, 5, -19, 2, 20, 1],\n [13, -6, -11, -6, 8, 2, -4, -12, 15, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2764", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[-5, 15, 12, 10, -15, -11, -5, -17, 1],\n [-8, -5, 8, -15, 5, -10, 3, 8, -18],\n [-11, -20, 5, -9, -7, 4, -13, -17, 7],\n [-14, -11, 15, -19, 5, -7, -5, -4, 1],\n [-17, -2, -19, 18, -12, -2, -5, 4, -3],\n [2, 0, -10, 18, 20, -17, 4, 11, 9],\n [5, 15, 13, -12, -9, -19, 17, -16, -16],\n [1, -16, -17, -12, 8, 1, 6, -11, -5],\n [-11, -15, -16, -15, 4, -17, 19, 11, 14]]\nB =\n[[-11, 13, 15, -15, -5, -2, 13, 4, 10, 20],\n [-4, 9, 18, 10, -2, 14, 8, -20, -17, 7],\n [-3, 5, 19, -2, -15, -20, -13, 12, 0, 3],\n [4, -2, 8, -11, -9, 12, -14, -4, -11, 10],\n [-15, -4, 16, -3, 5, -5, -13, 3, -8, 8],\n [11, 3, -5, -10, 11, -15, 14, 12, -3, 16],\n [-8, -11, 16, 5, -4, -20, 4, 13, 18, -11],\n [-1, -14, -5, 16, 8, -9, -4, -1, 5, -2],\n [-9, 0, 13, -14, 14, -6, -20, 5, 14, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "587", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 1, -15, -6, 3, 0, -14, 8, 11],\n [11, -16, -17, 1, -3, 14, -4, 3, -19],\n [-8, -6, -16, -18, 16, 16, 16, -18, 14],\n [2, 7, 9, -3, 15, 12, 5, 19, -4],\n [19, -14, -13, 10, -9, 10, -2, -11, 18],\n [-9, -1, 16, 20, -14, -7, -10, -14, 8],\n [-11, 8, -12, 15, -11, -2, 10, -4, -12],\n [12, 13, 3, -12, -14, -5, -2, 18, -15],\n [-10, -9, -8, -9, 0, -11, -1, 15, 7]]\nB =\n[[3, -16, 16, -9, 14, 19, -19, 20, 18, -12],\n [1, -16, -9, -20, 1, 17, -2, -5, 10, -18],\n [2, -3, 5, -8, -3, -18, 2, -18, 4, 6],\n [6, 18, 4, 3, -13, -12, 16, 9, -2, -5],\n [3, 0, 15, 19, 18, -15, -16, -7, -17, -13],\n [3, -10, -4, 0, 5, 6, -5, 5, 12, 10],\n [-15, -13, -14, 13, -7, -5, -12, -11, -4, -9],\n [-15, -2, 20, 8, -15, 4, 3, 4, -5, -5],\n [-15, 16, 0, -17, 13, 7, 17, 20, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27817", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -14, 1, -20, 8, 10, 9, -6, -3],\n [14, 9, 13, -10, 6, 3, 14, 18, -13],\n [-3, -8, 3, 2, -9, 9, 10, 7, 1],\n [7, -8, 4, -14, -15, 3, -2, -2, 15],\n [-12, 15, 17, 19, 8, 3, -16, 5, -7],\n [18, 8, -15, -14, 16, -3, 2, 17, -20],\n [-17, 14, 2, 6, 5, -13, -5, 20, -18],\n [11, -16, -1, -7, 11, 5, -15, 15, 19],\n [-16, -8, 11, -5, -20, -8, -10, -13, 4]]\nB =\n[[19, 11, 3, 7, -7, -18, 15, 6, -1],\n [-6, 6, 20, 7, 4, 12, -7, -13, -7],\n [-20, -5, -3, -14, -6, 3, -8, -12, -6],\n [14, 3, 12, -5, -13, 8, 2, 10, 19],\n [-7, 9, 18, 6, -5, -15, 12, -3, -5],\n [-9, -1, 19, 8, 9, 5, 1, 12, 18],\n [8, 1, -8, -12, 3, -6, 15, -8, 6],\n [16, -14, -13, 16, 20, -7, -9, 15, 19],\n [-4, 19, 8, 6, -20, 13, -17, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24582", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -14, -20, 20, -18, -6, 10, -5, -11, 8],\n [-15, 8, -4, 1, 3, -4, 0, -10, -14, 18],\n [-16, 0, -3, 14, -1, -6, -16, -8, -9, 0],\n [16, -15, -14, 5, -13, -12, 6, -17, 0, 10],\n [0, 19, 4, 18, -6, 14, 20, 16, 7, -7],\n [-17, -1, 13, -9, 12, 3, -1, -16, 17, 9],\n [3, 19, -14, 15, 17, -5, -6, 2, -9, 8],\n [-6, 8, 0, -6, -7, -5, -6, -17, 6, 2],\n [8, 20, -12, -14, -17, -16, -16, -10, 20, 7]]\nB =\n[[-5, 20, 9, -17, -19, -18, 0, -15, -3, -16],\n [-12, -1, 7, 5, -3, -2, -18, -12, 15, 10],\n [-4, 2, 13, 20, 20, -16, -6, -18, -2, 7],\n [-18, 17, -17, 3, 10, -10, 16, -20, -12, -4],\n [-20, -18, 5, 10, 5, 2, 9, -11, -13, 4],\n [1, -6, 20, -11, -1, 20, 2, -20, -19, -2],\n [-7, -13, 17, -9, 5, 6, 8, -6, -20, 7],\n [-18, -3, 13, 11, 8, 4, 5, 18, -13, -2],\n [1, 8, 12, 17, 14, -18, -2, -11, 6, -6],\n [-10, 5, 3, -8, 11, 16, -17, -8, -12, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2087", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[16, -14, -20, -9, 0, -10, -7, 13, 13],\n [4, -17, 5, -5, -11, -19, 14, -2, -15],\n [-2, -13, -7, -11, -18, 17, 8, -6, 2],\n [2, -3, -2, 7, 5, -11, -17, -19, -18],\n [-14, -5, 10, -11, -2, 7, -4, 7, -2],\n [16, 2, -1, -8, -8, -10, -6, -4, 7],\n [-2, -17, 1, 1, 16, 18, 13, 12, 19],\n [12, -9, -19, 7, -11, 1, -4, 5, -18],\n [-14, -13, -1, -9, 14, -4, 7, 20, -11]]\nB =\n[[1, 17, 12, 1, 16, -8, 6, -6, 1, 9],\n [19, 16, 13, 13, 14, -2, -13, 18, 12, 7],\n [16, 4, 15, -4, 3, 0, -19, 10, 12, 9],\n [-9, -9, 3, 3, -10, -8, 6, -13, -11, -13],\n [-1, -13, -12, -14, -7, 7, -19, -13, -8, 0],\n [7, 14, 2, -6, -19, -9, 15, -18, -16, -18],\n [-2, -19, 16, -4, -7, 7, 6, -11, -18, 15],\n [17, 4, 1, 18, 9, 0, 9, 7, 10, 5],\n [1, 0, -20, 16, -8, 0, -12, -4, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2866", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[18, 1, -9, -15, -5, 5, -16, -12, 19],\n [-7, 9, 5, 8, -2, -13, 2, 14, 10],\n [14, 11, -16, -5, -4, 11, 17, 11, -1],\n [-19, -1, -3, -20, 8, 8, -2, 19, -15],\n [18, -13, 3, -1, -7, -16, 20, 19, 13],\n [-5, -14, -5, -14, 6, -7, -7, 12, 12],\n [-1, 15, -14, 11, -18, 18, 8, 3, 1],\n [-15, 3, 19, 2, 17, -11, -5, -10, 11],\n [-15, 3, 12, -9, 6, 17, -3, 18, -8]]\nB =\n[[19, 9, 20, -8, 13, 15, 9, 4, -19, 15],\n [-3, -16, -2, -3, 11, 0, -11, 16, 1, -8],\n [-4, -12, 3, -7, -13, 16, -2, 7, 20, 9],\n [-14, 5, 19, -10, -7, 0, -13, -18, 7, 8],\n [2, -3, 14, -8, -9, -16, 18, -10, -10, 10],\n [10, -8, -7, 4, 12, 12, -6, -5, 17, -15],\n [4, -6, -17, -17, 9, 13, 6, 10, 11, 18],\n [-12, 20, -13, -7, 12, 2, 0, -9, -19, -8],\n [-17, -1, -7, 9, 8, -13, -9, 20, 17, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-480", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-19, 19, -7, -15, 19, 10, -4, 4, 11],\n [-9, -8, -2, 4, 10, 16, 4, -5, 17],\n [2, -7, -15, 4, 2, -9, -8, 15, 18],\n [13, -15, 17, 19, -13, -13, 19, 12, 13],\n [-6, 15, 14, 1, 2, 19, 1, -16, 10],\n [-8, 7, -1, 12, -5, 8, 2, 3, 13],\n [-14, 17, 16, -17, 13, 1, -16, 2, -6],\n [10, -12, 4, 4, 0, -12, 17, 1, 2],\n [-17, 8, -6, -20, 9, 8, -1, 12, 20]]\nB =\n[[15, 1, -8, -14, -13, 7, -12, 4, -5, -11],\n [-10, 10, -9, 10, -7, 11, -4, 14, -20, 8],\n [-17, 2, 7, -5, -9, 0, -4, 19, -8, 11],\n [16, -6, -9, -6, 13, -15, -4, -1, -12, -16],\n [2, 12, 17, -7, -4, -2, 12, -20, -8, 6],\n [-15, -15, 12, 9, 14, 2, -11, -2, 7, 2],\n [-17, -1, -2, 6, 13, -17, 17, -14, -14, 5],\n [5, -2, -12, -1, -5, -4, 1, -8, -9, -11],\n [-20, 11, 9, -13, 0, 1, -3, -19, -12, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 0, 9, 7, 15, 5, 13, -13, -11, -7],\n [19, -6, -4, -3, 11, 17, 2, 2, 14, 18],\n [-6, 3, 7, -5, -5, 19, 18, -15, -19, -8],\n [-12, 13, -4, 6, 8, 16, 1, 3, -14, 13],\n [-9, 2, -6, 12, -8, 2, 17, 11, 14, -20],\n [-16, -8, -16, 11, 0, 3, -3, 0, -11, 3],\n [19, 0, 4, 2, 1, -17, 13, -15, 7, 10],\n [14, 18, 2, -15, -5, -19, 3, -4, -20, -15],\n [-16, 8, -9, 18, -18, -20, 6, 3, -2, -13],\n [-19, 9, 9, 18, 11, -20, 17, -8, -10, -11]]\nB =\n[[5, -1, -4, -4, -17, -16, 2, -11, 7, 12],\n [5, 8, 6, -3, 19, -11, -16, -11, 0, 3],\n [17, -18, 19, 10, 20, 16, -19, -19, 18, 13],\n [-1, 12, -17, -10, -16, 4, 16, 13, -12, -15],\n [-3, -7, -2, -7, 19, -4, 14, 8, -4, -13],\n [-20, 15, -14, -16, 3, 7, -4, 16, -1, -18],\n [16, 5, -6, -13, -8, -18, -20, -12, 10, 20],\n [5, -4, 13, -12, -8, -16, 20, -8, -20, 4],\n [-17, 15, -11, 7, -15, 6, -9, -18, 12, -11],\n [10, -6, -14, 15, -7, -7, -18, -18, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1429", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, -9, -16, -11, 20, 12, -8, 14, 11],\n [-10, 17, 3, 14, -2, -15, 19, 14, -17],\n [12, -8, 15, -2, -9, -10, -15, -9, 6],\n [20, 4, -18, -18, -1, 7, 2, -18, 3],\n [19, -15, -1, -10, 11, 6, 0, -8, 1],\n [14, 1, 7, 0, -3, 10, 16, 0, -7],\n [4, 6, 19, 2, 10, 8, 9, 5, -1],\n [17, -2, 6, 4, 19, 17, 2, 8, -6],\n [-18, -11, -6, -5, -4, -2, -10, -16, -16],\n [-7, 5, -13, -16, -14, -5, -7, 16, 20]]\nB =\n[[-17, 15, -4, 15, -15, -5, 8, 15, 17, 16],\n [-11, 20, 15, 8, -7, -17, 15, -8, -3, 12],\n [0, -5, -6, -16, -15, 17, -18, -9, 15, 12],\n [15, 12, 10, 0, 6, 6, -13, 16, 11, 5],\n [-19, -9, 1, -4, -14, -17, 16, 17, 11, -10],\n [-20, 4, 3, -4, -13, 6, -3, 6, 1, -5],\n [-19, -16, -3, -18, 6, -4, -5, -15, -14, -7],\n [17, 19, -6, 12, 6, 8, 16, -16, 8, 11],\n [-15, -19, -15, -17, 8, 4, -12, -18, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1447", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[15, 11, -20, -5, -10, 5, 19, -20, 5, 7],\n [-12, 1, -13, 6, 18, -2, 4, 17, 0, 3],\n [3, -2, -19, -7, 11, 11, 7, 18, 19, 19],\n [-8, -9, -13, -6, 5, -9, 6, -3, 15, 6],\n [-12, 18, -20, -14, 5, -14, -14, -13, -5, -18],\n [-11, -14, 0, 16, 10, 2, 6, 1, 18, 6],\n [-17, 3, 2, -2, -18, 6, -18, 7, -4, 10],\n [-11, 1, 9, 0, 15, 2, 17, -9, 4, -1],\n [-14, 8, 8, -8, -18, -19, -5, 9, 17, -15],\n [-14, -16, -14, 13, 11, -8, 9, 4, 0, 0]]\nB =\n[[7, -1, 13, -16, -3, 18, -10, -4, 1, 16],\n [-1, -15, 13, -7, 2, -1, -8, 20, 11, 5],\n [-7, 15, -13, 19, 1, 1, -5, 6, -11, 4],\n [10, 0, 6, -4, 12, 10, 5, 0, 15, -20],\n [-17, -17, 5, -17, -12, 9, -17, -16, 2, -5],\n [1, 16, -13, 12, 17, -5, -16, -5, -14, -20],\n [-12, -3, -18, 3, 7, -11, -12, -8, 14, 2],\n [-4, -14, -5, 19, 15, -1, 3, -16, -15, 7],\n [-16, 18, 17, -19, 18, 0, 19, 16, -3, -9],\n [-4, 16, 17, -6, -14, -7, -20, 17, -18, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31052", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -8, -3, -4, -4, -10, -1, -11, 8],\n [13, -4, -8, 18, 6, 5, 7, -8, -9],\n [7, -19, 16, 13, 2, 8, 14, -10, 12],\n [-10, -12, -7, -12, 18, -18, 8, -2, 15],\n [11, -14, 7, -3, -16, 2, 1, 5, -9],\n [19, -2, -20, -18, 6, -3, 9, -19, -16],\n [8, 12, -1, 9, -16, 0, -6, -1, -13],\n [10, -9, 0, 9, 6, 5, 12, 5, 5],\n [15, 19, -20, -6, -20, -10, -19, -20, 10],\n [-5, 1, -3, -4, 9, -11, 14, 0, -5]]\nB =\n[[-15, -18, 20, 0, -8, -3, 3, 6, -17, 1],\n [3, 19, -11, -19, 19, -15, -3, -4, 17, 2],\n [9, 0, -11, -8, -9, -12, -17, 18, 3, 13],\n [18, 20, -16, -6, -17, 18, -13, 3, 7, 6],\n [-20, 13, -4, 16, 17, 5, 3, 18, 0, 9],\n [-8, 16, -18, 11, 14, -2, -7, 1, -4, -17],\n [19, -2, 16, -19, -6, -19, -10, 2, -11, -18],\n [-16, -18, 17, -8, -2, 19, 14, 3, 3, -4],\n [19, -11, -19, 2, -15, -19, 0, 14, 8, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4475", "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, 16, 2, 12, -13, -9, -11, -6, 3],\n [5, 18, -18, -19, -15, 0, -12, -11, 15],\n [-18, 20, 3, 1, -7, 6, 12, 1, 8],\n [-2, -2, -15, -2, -8, 5, 1, 0, 15],\n [-19, 9, 6, -14, -1, 10, 2, -8, -4],\n [-17, -7, -1, -8, -18, 5, 5, -3, 11],\n [-7, -18, -20, 5, 3, 14, -7, -18, -8],\n [-7, 0, 5, -18, 19, -17, 15, -20, 19],\n [12, -14, -10, 6, -7, 1, -5, -9, -11]]\nB =\n[[3, -3, 1, -12, -4, 17, 19, -8, 16, -15],\n [0, 15, -14, 15, 4, -10, -7, 8, -11, -16],\n [-13, -16, 3, 19, 5, -15, -5, 15, -9, -10],\n [-18, 16, -15, -2, -3, -5, 2, 16, -12, -18],\n [-13, 17, -17, -9, 10, 4, -5, -7, -8, 20],\n [-14, -9, 16, -17, -19, 14, -18, -17, 17, -9],\n [-2, -11, -20, -4, -5, -12, -12, -12, -9, 20],\n [-6, -19, -10, -10, -13, 11, -15, -1, 18, 14],\n [-13, 13, -2, -14, 10, -3, 19, -7, 18, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29825", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 5) of the product matrix AB given:\nA =\n[[-4, 16, -12, -1, 7, -1, 20, 15, 6, -13],\n [11, -20, -4, -12, -1, 11, -19, 11, -12, 9],\n [-1, 17, -20, -16, 14, 15, -20, -7, -12, 9],\n [3, -17, -7, 4, -17, 4, -11, 14, -14, -8],\n [-17, 15, -7, -3, -13, 11, 6, 16, 2, -14],\n [-9, 4, -18, 5, -17, 15, -6, 11, 8, -11],\n [0, -5, -2, 8, -3, -5, -20, -19, -6, 18],\n [7, -20, -16, 1, 15, -8, -20, -5, 20, 1],\n [11, -5, -6, -9, -20, -4, 20, 7, -14, -12],\n [1, 5, -9, -14, -6, 17, 0, -7, -19, -13]]\nB =\n[[-15, 16, 16, 12, 20, -15, 5, 18, 20],\n [16, -7, 16, -13, 18, -8, -8, 19, 7],\n [-3, -2, 17, 11, 1, -19, -8, 2, 4],\n [7, -10, 12, 3, -19, 9, -4, 19, 13],\n [17, 1, -16, 19, -5, -8, 5, 10, 18],\n [2, -9, -7, -3, 6, 7, -3, -5, -5],\n [-8, 8, -12, 5, 7, 20, -8, 15, -12],\n [-7, -9, 11, 17, -18, -5, -1, 11, 2],\n [-4, -5, 17, -13, -2, 9, 13, -7, 1],\n [-4, -6, 11, -8, 0, 19, 12, 6, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, 7, 13, -20, 20, 10, 15, 12, 12, 18],\n [-3, 2, 2, -6, 5, 9, 4, -5, 18, -7],\n [-4, -9, 8, 11, 3, -8, -1, -6, -17, 13],\n [7, -19, 9, 5, 5, -1, 7, -1, -10, -11],\n [2, 16, 20, -2, -3, 6, -15, -11, -19, 3],\n [17, 7, 7, 18, -19, -16, -10, -11, -19, -6],\n [18, 20, 16, -14, -1, 13, 14, 13, 1, 10],\n [2, -2, -17, 3, -1, 18, 7, 18, -4, -2],\n [14, 11, 18, 14, 9, -4, 8, -15, -4, -4],\n [-7, 3, 16, 19, 18, 11, 15, 16, -7, 6]]\nB =\n[[-2, 10, -12, 17, -4, -2, -17, -10, 1, -17],\n [-4, -13, 13, -10, 10, -10, 17, 0, 9, -11],\n [5, 6, -13, 18, -13, -13, 13, -5, 20, -8],\n [2, -9, 6, 1, 11, 6, -19, 12, 5, 7],\n [-2, -16, 12, -1, 9, -13, 17, -4, -20, -18],\n [5, 10, -13, -13, 14, 18, 7, -17, -5, -8],\n [-1, -16, 16, -1, 3, 15, 13, 13, -2, -4],\n [-16, 4, -3, -13, 6, -6, -8, -5, 1, -1],\n [-8, -1, -19, 14, -2, 16, -15, -7, -17, 1],\n [18, 15, 13, 6, -14, -18, 12, -19, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 9) of the result:\nA =\n[[-6, 3, -6, 10, -7, -7, -15, -7, -4, -3],\n [-1, -4, -5, 19, 18, 11, -12, 6, 12, -11],\n [-4, 15, -4, -3, 2, 13, -13, -8, 2, -1],\n [1, 2, 20, 14, -18, 13, 12, -4, -2, 9],\n [2, -6, -7, -19, 18, -3, -15, 11, 0, 19],\n [7, 6, -19, 12, -5, 18, 1, -8, -19, -7],\n [17, 20, 7, -14, -3, 20, 15, 20, 15, -17],\n [9, 3, -1, 10, 3, -14, 5, -8, -13, -16],\n [-8, 8, -1, -7, 11, 6, 4, -17, 0, -3],\n [18, -6, 17, 3, -13, 7, 0, -5, -5, 14]]\nB =\n[[-4, -12, 14, 8, 18, -3, -9, -2, 1],\n [-6, -20, -19, -13, 1, 4, -19, -12, -12],\n [-8, -15, 9, -6, -6, -14, -10, 19, 17],\n [19, -19, 18, -11, -4, -14, 19, 18, -17],\n [14, 15, 10, 4, 20, -8, -3, 0, -20],\n [15, -13, 0, 0, 6, -2, 2, 14, 19],\n [-16, 20, -13, -10, -5, 18, 3, 0, 2],\n [17, -13, -14, -19, 9, -8, 2, 8, 17],\n [16, -1, 12, 8, -6, 2, -18, 16, 8],\n [-13, 1, 8, -19, 20, -20, -1, 0, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "792", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-13, 6, 14, -15, -2, -3, -20, 4, 6, -14],\n [8, 10, 15, -2, -15, 4, 10, -12, -1, -11],\n [16, 6, -8, 20, -19, 0, 12, 3, 13, -12],\n [-19, 9, 1, -10, -4, 15, -8, -14, -5, 12],\n [-20, -10, -15, -1, 14, 16, 20, 5, -9, 9],\n [7, 6, -2, -16, -16, 20, 6, 7, 5, 6],\n [0, -20, 7, -6, -4, 5, -1, 4, -8, 12],\n [4, -13, -16, -15, 2, 9, -7, 2, -10, 10],\n [-15, -10, -8, -9, -19, 14, 15, -4, 7, 7],\n [1, 17, -14, -6, 11, -10, 3, -18, 9, -15]]\nB =\n[[-19, -7, 20, -3, 10, -8, 5, -9, -3],\n [-12, 0, 19, 3, 13, -13, 12, 2, -8],\n [-7, -7, -5, 17, 18, 5, 5, -20, 11],\n [-6, 0, -3, 9, -8, 3, 9, -19, -2],\n [4, -7, -15, -9, -1, 2, 9, 9, 17],\n [9, 20, 9, 15, 13, -5, 3, -7, 5],\n [-13, -7, 10, -19, -17, -20, -1, -7, 19],\n [4, 4, -18, -16, 17, 5, 19, 17, 17],\n [-17, -14, 9, 9, -2, 18, 14, 19, 12],\n [12, -7, 17, -11, 7, -7, 15, 17, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29761", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, 7, 12, -15, 20, -6, -18, 14, -7, -19],\n [8, -17, 5, -9, -19, -4, 14, -11, 1, 20],\n [0, -6, 14, 0, 0, 0, 11, -16, 18, -12],\n [-3, 0, -13, 13, -11, 20, 3, 19, 3, 11],\n [12, 17, 13, -10, 10, -3, 2, 1, -3, 19],\n [20, 18, -1, -8, -20, -17, 3, 15, 15, -19],\n [7, 5, 2, -6, 15, 6, -15, 14, 18, 17],\n [14, 15, -11, 9, 20, 17, 8, 18, -17, -16],\n [-17, 15, -5, 4, -7, -10, 8, 13, 1, -7],\n [3, 18, 5, 15, 18, -5, 17, 11, -15, 13]]\nB =\n[[-13, 9, 6, -14, 6, 4, 20, -6, 4, 1],\n [-3, -9, 2, 18, 4, -11, 9, -11, 13, -8],\n [8, 17, 20, -12, -8, 16, -7, 16, -12, -13],\n [18, 19, -18, 19, 12, 11, -14, -2, 13, -7],\n [-2, 5, -4, 7, -2, 6, -2, 12, -14, 8],\n [-16, 9, -13, -9, -8, 5, -3, -1, -5, 16],\n [-18, 6, -6, 13, 1, 19, 2, -17, 20, 2],\n [-12, 3, 0, 20, -5, 4, 5, -12, -6, 18],\n [12, -20, -16, -12, -15, 7, 5, 7, 19, -6],\n [-15, 6, 17, -17, -10, 0, 9, -3, 14, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, 6, 9, 0, 17, 0, 17, 19, -6],\n [-3, 8, 17, 0, -4, 20, -3, 16, 17],\n [-9, -10, -1, -12, -20, -18, 0, 2, -12],\n [-2, -2, 2, 6, 6, 18, 15, -9, 6],\n [13, 12, 7, 10, 11, -1, 19, 14, 10],\n [10, 17, 1, 20, -12, -12, -6, -8, 1],\n [-5, 11, -19, 5, -7, 17, 13, -13, 15],\n [0, 7, -15, -1, 10, 12, -14, -13, -12],\n [-19, -4, 16, -4, 17, 14, 18, 9, -15]]\nB =\n[[-17, 16, 14, -12, -15, -8, 1, 7, 9, 15],\n [-19, 15, -13, -12, -20, -8, -6, 11, 13, 10],\n [-7, -7, 8, -2, 6, -12, 16, 16, 7, 3],\n [7, 15, -3, 4, 14, -17, -7, 18, 5, -13],\n [3, -5, -1, -6, -14, -4, 1, 1, -9, -3],\n [-6, 16, -5, -16, -19, 7, 20, 6, 10, 20],\n [15, -20, 8, -20, -13, -5, 7, 1, -3, 1],\n [20, -9, -2, 4, -16, 13, 18, -11, -14, 16],\n [-6, 3, 5, 5, 5, -11, -4, -7, -19, -8]]\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[[6, -12, -14, -11, -12, 1, 2, -14, -12],\n [6, 3, 8, -4, -1, -14, 19, -14, 7],\n [-2, -1, 18, 19, -14, -15, 4, 20, -8],\n [18, 19, 1, -4, 1, 13, -13, -3, 3],\n [-19, -19, 6, -7, 18, -9, 11, 7, 7],\n [4, -17, 5, 15, -18, -20, -4, -14, -16],\n [-2, 18, 13, 14, -5, 19, 18, 6, 20],\n [17, 4, 5, -7, -7, -7, 4, 15, -17],\n [-6, 11, -3, -7, -20, -1, -11, -11, 3]]\nB =\n[[13, 7, 6, 19, -20, 12, -17, -14, -12],\n [-5, -16, 13, 2, 4, -8, 3, -10, -4],\n [16, -8, 6, -1, 12, 11, -13, 8, 19],\n [-2, -15, 18, 20, 0, 1, -11, -11, 8],\n [-5, -20, -4, 9, 5, -2, 0, -4, 19],\n [0, 20, 19, -2, -14, -4, -20, 16, -15],\n [5, -19, 11, -16, 16, 10, -9, 14, 9],\n [-15, -6, -6, -5, -1, -8, 10, 13, 8],\n [-18, -12, -10, -10, 4, 1, -12, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3336", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, 1, 8, -12, -16, 19, -10, -20, -20, 18],\n [-16, 1, 5, -15, 11, -10, -11, 18, 13, 10],\n [-9, -5, 17, -18, -19, -16, -10, 4, 14, 14],\n [1, 16, 1, -10, 11, 14, 10, -13, -1, 13],\n [-17, -3, -17, -1, -12, -5, 5, 17, 4, -17],\n [20, 20, 17, -2, -7, 0, -6, -18, 16, -5],\n [-7, -12, -14, -7, -15, 0, -6, -13, 13, 19],\n [-20, 11, -16, 9, 1, -1, -5, -14, -14, -19],\n [-7, 10, 20, -7, -16, -10, 19, -16, 8, -10]]\nB =\n[[-16, 11, 15, -6, -2, 1, 13, -4, -9],\n [4, -4, -11, 7, -3, -3, 11, -7, -5],\n [-3, -5, -4, -14, -9, 13, -11, -16, 0],\n [-18, -2, 14, -15, -7, -17, -3, 8, 14],\n [17, -5, -1, 3, 14, -2, -17, 12, -19],\n [-8, 9, 13, 9, 3, 12, 20, -11, -3],\n [-2, -14, -2, 3, -6, 20, 2, -17, 17],\n [-17, -16, 20, 2, 19, 16, -10, -10, -8],\n [-7, -13, 4, -3, -3, -11, -14, -7, -6],\n [-5, -19, 9, 9, -3, 10, -8, -1, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27326", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 12, 17, 14, 15, -1, -18, -13, 19, 11],\n [8, -14, -19, 0, -15, 7, 15, 11, -12, -10],\n [2, -10, -19, -18, -10, 14, -6, -10, 10, 7],\n [7, 11, 4, -1, 7, 4, -10, -2, 7, -20],\n [-16, -11, 13, 15, -19, -3, -8, -16, -1, -19],\n [-10, 9, 11, 11, 17, 7, -11, 1, -4, 1],\n [-2, -4, 3, 15, 11, 15, 7, -7, 15, -15],\n [-12, 0, -9, 9, 10, 19, -17, 10, 6, 4],\n [-16, -15, -16, 6, -13, -12, -6, 15, 20, -14]]\nB =\n[[11, -13, -6, 16, -2, 18, -15, -2, 7, -4],\n [-2, 10, -10, -6, -11, 2, -18, -18, -3, 4],\n [-1, 8, 1, -6, 18, -11, 0, 8, 11, -11],\n [-8, 2, 2, 10, -17, -18, 0, -19, -17, -20],\n [-6, 12, -15, -14, -2, -20, 18, -2, 5, -9],\n [1, -8, 7, -7, 1, 9, -1, 6, 17, 20],\n [13, 18, 20, 16, -20, -6, 11, -13, 12, -3],\n [8, 11, 12, -16, -3, -11, 15, 12, 2, 19],\n [-16, 13, 3, -4, 10, -14, -4, 7, 17, 1],\n [-6, 16, -6, 4, 0, 17, -19, 6, 11, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32561", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-17, -2, -19, 5, 13, -7, -6, -1, 13],\n [15, -2, -12, -14, 9, -8, 6, 14, -8],\n [-6, -12, 2, 15, 19, -18, 13, -2, 7],\n [2, 19, -14, 20, -9, -7, -6, -18, -6],\n [3, -13, -16, -17, -7, -5, -1, 3, -15],\n [10, -15, 14, -6, 8, -18, -10, -18, 7],\n [-11, 12, -5, -11, 12, 15, -18, -16, -9],\n [-8, 3, 11, -5, 11, 16, 15, 0, -9],\n [0, 0, -15, -12, -20, -9, -7, -15, -20]]\nB =\n[[1, 13, -10, -18, -15, -15, -1, 0, -19],\n [5, 10, 5, 11, -11, 2, -15, 2, 7],\n [9, -7, 16, 11, 13, 20, 1, 10, -14],\n [20, 0, -5, -1, -2, 11, -6, -16, -10],\n [-6, 8, -17, 15, 2, -6, -18, 11, -11],\n [19, 17, 1, -7, -4, 0, -6, -6, -20],\n [3, -9, -11, 10, -10, -5, -12, -7, -2],\n [10, -12, 15, 18, 5, -13, 3, -13, -2],\n [9, 1, -12, -17, 16, -13, -20, 7, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24618", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[15, -10, -16, 3, -3, -1, 7, -8, -16, 9],\n [-20, 1, -3, -16, 10, -15, 6, 4, 8, 7],\n [-5, -9, -1, -3, 13, 2, 6, -4, 0, 19],\n [10, -18, -4, 5, 2, -15, 7, -13, -13, -2],\n [17, 8, 2, 11, -11, 6, -20, 18, 8, -18],\n [16, 10, -10, 1, -3, 14, -15, -18, -16, -12],\n [7, -2, 7, 6, -8, 17, 0, 6, -15, 17],\n [-10, 20, -4, 18, -14, 9, 0, -20, 4, 11],\n [-13, -16, 9, -13, -2, 9, -6, 15, 6, -8]]\nB =\n[[-7, 16, 9, 18, -8, -5, -14, 6, 14],\n [-6, 7, 14, -14, -1, 11, 17, 19, 11],\n [5, 18, -1, -3, -6, 1, 1, 0, -19],\n [19, -3, 2, -8, 20, -12, -14, 20, -20],\n [-19, -17, -7, 11, 15, -19, 19, -7, -1],\n [4, -13, 7, 0, 2, 11, -13, 10, 16],\n [-5, 19, 6, 19, 20, -3, 14, -6, 6],\n [-4, 19, -19, 10, 16, 20, 20, 13, 13],\n [-18, -4, -7, -7, 17, 14, -20, 8, -17],\n [12, -4, 7, 5, -13, 13, -3, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "832", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (8, 10) of the product matrix AB given:\nA =\n[[-5, -11, 19, -9, 1, -5, -9, -10, -1],\n [-20, 6, -18, -9, 9, -12, 16, -20, -17],\n [-6, 6, -13, 2, -6, 6, 10, 18, -13],\n [9, -3, -17, 1, -18, -6, 14, 17, 12],\n [-7, -20, 5, -13, -5, 17, -11, 16, 5],\n [7, -9, -1, -7, 14, 8, -9, -3, -19],\n [-19, -4, -11, -3, 1, -2, -20, 3, 15],\n [4, 15, 10, 10, -19, -2, -9, -11, 10],\n [1, 2, 2, -6, 5, -18, 2, -1, 19],\n [18, -13, -3, 20, -15, 6, 15, -6, 16]]\nB =\n[[-16, 18, -12, -14, 20, -1, -11, 5, -17, 17],\n [3, -7, 20, -20, -4, 3, 6, -14, -12, 14],\n [-9, 0, -18, -6, 0, -11, 12, -15, -19, 8],\n [19, 12, -17, -17, 8, 16, -1, 20, 2, -3],\n [4, -20, -6, 13, -1, 16, 6, 1, -16, 13],\n [18, -18, -4, 3, 3, -18, -14, 4, -18, -6],\n [8, 8, -11, 11, 2, 18, -12, 16, 19, -7],\n [-17, -1, 7, -7, 13, -8, 10, 12, 18, 7],\n [4, 11, -12, 7, 10, -4, 2, -8, -11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, -10, -18, 7, 20, -6, -8, -4, -14],\n [7, 17, -8, -4, -6, 15, 7, -6, -10],\n [10, -17, 14, 13, 6, -11, 9, -1, 8],\n [8, 2, 0, -11, 20, -9, 9, 12, -3],\n [-7, 1, 0, -20, -6, 15, 1, 11, 12],\n [20, 18, 2, -19, -19, 17, 8, -18, 18],\n [-14, 15, 8, 16, 15, 2, -5, 10, 13],\n [-20, -3, 19, -6, -4, -11, -1, -15, -13],\n [13, 11, -17, 18, -1, 3, 3, 5, 4],\n [15, -14, -11, -9, -20, 4, -5, -16, -2]]\nB =\n[[-17, -15, 5, 18, 18, -12, -7, -12, -6, 16],\n [-1, -13, 11, 0, 20, -2, 8, 10, -15, -17],\n [8, -18, -20, -6, 0, 10, -14, -4, -2, 18],\n [-18, 9, 14, 8, -7, 14, 7, 9, 5, -14],\n [18, 10, -16, 14, -7, 15, 6, 3, 19, 8],\n [1, -13, -6, -16, -17, -10, -3, 9, -6, -15],\n [-5, 19, -12, 13, 6, -8, 15, 6, -12, -16],\n [1, 10, -18, 9, 0, 14, -15, 7, 11, 16],\n [4, 11, 14, 1, 3, 18, 9, 11, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35882", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, 12, 4, 15, 3, 10, 18, -8, -11, 2],\n [-3, 11, 12, 15, 7, -5, -5, -3, -13, -5],\n [-10, -15, -20, -9, 17, 7, -4, -20, 11, -13],\n [19, 3, -11, 18, 18, -11, 15, 4, -11, -2],\n [-6, -5, -19, 8, -17, 8, 10, -4, -11, 6],\n [20, -6, 10, 0, 20, 5, 17, 15, -4, -18],\n [-7, -8, 20, 6, -20, -4, 13, -7, -4, -18],\n [13, 19, 4, -19, 13, 5, 10, -12, 9, -1],\n [0, 8, 4, 17, 4, -12, 18, 5, 16, -5]]\nB =\n[[16, -9, 3, 5, -1, -12, 2, 18, 8, 10],\n [-2, -1, 2, 6, 9, 0, 14, -14, 1, -11],\n [2, -6, 9, 13, -8, -17, -3, 2, 12, 13],\n [13, 15, 14, -4, 7, -7, 13, -10, -8, 12],\n [-19, 13, 8, 16, -17, -9, 5, 7, -18, -1],\n [-11, -3, 6, 10, 6, -20, -15, -10, 13, 18],\n [-1, 0, 0, -3, 0, -2, -17, -8, -3, 8],\n [4, -8, 6, -2, -20, 17, -2, -20, 19, -4],\n [0, 1, -6, 18, 18, 11, -17, 11, -17, -20],\n [12, -14, -12, -20, -5, -3, -15, -19, -12, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7142", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, -13, 18, 4, -5, 14, -4, -3, 6],\n [-6, -4, -16, -5, -6, 13, -2, -13, -11],\n [-16, 5, 1, 2, -8, -12, -1, 7, 16],\n [3, 12, -1, 9, -12, -4, 15, -7, -2],\n [-14, -18, 12, 11, -10, -19, 5, -17, -4],\n [-4, 7, 9, 19, 2, 3, 8, -17, 17],\n [8, -2, 6, 8, 15, 14, -15, 2, 18],\n [-13, -19, -8, 19, 0, 10, 15, 17, 6],\n [15, 2, 0, -8, 16, 5, 19, -14, 18],\n [1, 18, 2, 9, -3, -3, -11, 18, 9]]\nB =\n[[5, -14, -14, -16, -20, -3, -8, 4, 19, -13],\n [-11, 11, -4, 17, -6, -6, 19, -1, -6, 14],\n [-15, 9, -13, 10, 11, -6, -3, -8, 3, 19],\n [-7, 7, -10, -15, 4, -20, 4, -19, 11, -8],\n [12, 11, 3, 6, -17, 3, 2, 8, 13, 0],\n [9, 5, -1, -5, -18, 16, 19, 4, 2, -20],\n [12, -6, -4, 13, -4, 20, -17, -8, -17, -14],\n [-12, 2, 12, 12, -1, -17, -20, 13, 6, 0],\n [3, -6, 14, 4, -12, -4, 0, -8, -18, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1588", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-17, 7, -14, 5, -10, 3, -11, 16, -8, 18],\n [-2, -2, -9, 1, 16, 9, -9, 8, 0, -10],\n [16, -3, 6, 16, -9, 2, 13, 17, 2, 4],\n [-17, 9, 9, -8, -7, -13, 3, -3, 14, 4],\n [-4, 11, 3, -14, -8, 6, -16, 15, 5, 10],\n [-11, 5, 1, -9, 11, 6, 12, -1, 18, 20],\n [19, -8, -7, 19, 1, -3, 8, -5, 14, 13],\n [-18, -17, -16, -11, 8, 11, 10, -19, -9, 6],\n [-16, 16, 6, 2, 12, -17, 0, 3, 10, 3],\n [-11, -19, 10, 4, -17, -10, -4, -19, -15, -12]]\nB =\n[[-16, -1, 8, 0, -12, 7, -13, 10, -1],\n [6, -13, 0, 7, 2, -15, -18, -16, -12],\n [-14, -17, 18, -16, -10, -6, 13, -8, -14],\n [19, -15, 18, 9, 1, 4, 7, -1, 18],\n [-18, -16, -20, -6, 5, -18, 19, 20, 13],\n [-16, 10, -8, -20, 1, -6, 5, -3, -12],\n [-20, -12, 2, -19, -7, 17, 19, -3, -5],\n [8, -10, -15, -18, -7, -19, 11, 10, -10],\n [1, -18, 10, 12, 3, -20, -6, 16, 6],\n [17, 6, -9, -18, 9, 11, 2, -19, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[13, 11, 18, 11, -7, -18, 11, 15, -4, -18],\n [-11, 19, -3, -18, 18, -11, -12, -10, 12, 15],\n [5, 6, 17, 1, 5, 1, -16, 14, -19, 14],\n [-12, -3, -9, -18, -3, 17, -14, 12, -15, -3],\n [1, 18, -12, 14, 2, -9, 3, 19, -12, -8],\n [19, -4, -14, -4, 3, -19, 14, 7, -2, 12],\n [0, -11, -12, 17, -15, 14, -3, -2, -16, 4],\n [-10, -11, -4, 15, 5, 10, 11, 0, -3, -3],\n [-20, -7, -13, -19, -6, 13, 15, -20, 0, -20]]\nB =\n[[11, -1, 15, 18, 9, -14, 1, -11, -13],\n [6, -11, -7, -10, -15, 0, 12, -2, 18],\n [3, -3, 14, 16, -2, 3, 13, 1, -17],\n [-11, -19, -13, 12, 17, 7, -11, -20, 13],\n [-18, -12, -16, -11, -9, -3, 0, 0, -20],\n [-18, -16, 4, -13, -4, -12, 11, -15, 19],\n [0, -14, -14, 18, 6, -13, -12, 7, -6],\n [-19, -14, -3, 1, -11, 12, -14, -18, -7],\n [15, -8, -5, -5, -16, 4, 17, 17, 17],\n [18, 20, 5, -8, 5, -20, -13, -17, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-582", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 16, -18, -2, -20, 8, 2, 12, 20, 2],\n [-16, -14, -15, 1, -8, -9, -17, -13, 16, 10],\n [16, 5, -13, 19, 12, 8, -16, 7, 19, -4],\n [2, -12, -19, 11, 10, -14, 9, -18, -12, -11],\n [5, -20, 9, 17, -6, 4, -15, -3, -20, -18],\n [-4, -13, 19, -4, 4, 20, -9, 8, 4, 15],\n [4, 8, -10, -17, -7, 17, -4, -19, -13, 15],\n [-11, -14, 15, -5, -7, -5, 4, 20, -17, 8],\n [-15, -20, 18, -20, 19, -18, -20, -20, 18, 0],\n [9, 11, 12, 1, 9, -17, 2, 4, -9, -4]]\nB =\n[[-6, -11, 14, 8, -9, -20, -20, -11, -3, -19],\n [-13, 1, 1, 5, 5, -12, 0, 10, -15, -7],\n [12, -14, 3, -12, -10, 2, -19, -6, 14, 15],\n [7, 18, -17, -11, -15, 9, 14, -11, 11, -18],\n [5, -6, -4, 6, -3, -2, -9, 3, -16, 3],\n [6, 9, -6, 17, 13, 6, -1, 20, 11, -17],\n [-16, -13, 1, -14, 1, 9, 16, -5, -6, -16],\n [-18, 2, -11, -16, 2, -6, -3, 4, -13, 10],\n [0, -19, 1, -13, 2, 11, -13, -17, 9, -2],\n [2, -3, 8, 2, 12, -3, 12, -14, 7, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33838", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[18, 13, 18, -2, 10, -8, 3, -16, 2],\n [-2, -20, 12, 12, 11, 7, 16, 20, -9],\n [-12, -10, 12, -2, 13, -14, 10, -19, -2],\n [17, 11, -11, 20, -13, 5, 9, -10, 20],\n [-1, -1, -12, -13, -6, 13, 3, 12, 20],\n [20, 19, 6, 0, -16, 14, 0, -17, -5],\n [10, 5, 14, -15, 12, 0, -5, 18, 13],\n [-6, -15, -19, 3, 7, -20, -20, 7, 15],\n [-1, -13, -20, 5, 4, -11, -9, 20, -14]]\nB =\n[[-9, 19, -4, -16, -7, 13, -4, 14, -20, 15],\n [-6, -2, -16, -2, 18, -16, -9, -2, -9, 15],\n [-9, -3, 13, 12, -3, 8, -16, 4, 3, 8],\n [17, 12, -11, 16, 12, 2, -10, 3, 3, -14],\n [0, -1, -11, 4, 15, -6, 19, 19, -15, 16],\n [-19, -9, -17, 2, -8, -4, 10, -5, 20, 5],\n [7, -20, -9, 16, -1, -19, 15, -6, 17, 1],\n [11, -1, 15, 12, -6, -18, 8, 6, -16, 10],\n [1, 14, -14, -15, 5, -20, -2, -14, 15, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32702", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 7) of the product matrix AB given:\nA =\n[[-1, 2, 4, 9, 8, 10, -3, 20, -2, -17],\n [-20, 20, -6, -13, -6, -6, 18, 1, -3, -5],\n [-19, 15, -1, -5, -18, 9, -19, 14, 5, -16],\n [-19, -1, 13, 13, -1, 4, -1, 4, -7, 18],\n [-9, -16, -19, -5, 9, 17, 3, 9, 16, 18],\n [-10, -7, 2, -5, 0, -17, 12, -7, -2, -16],\n [15, 10, -3, 10, 9, 0, 9, 20, -17, -16],\n [20, -11, 6, -5, 9, -8, 15, 0, 19, -6],\n [-1, -1, -16, 11, -15, 9, 5, 16, -8, 8],\n [-16, 4, -8, 3, 10, -1, -13, -12, 0, -1]]\nB =\n[[-6, 5, -10, 16, 20, -10, 6, 9, -2],\n [13, 17, 2, -20, -18, -18, 7, -7, 9],\n [-16, -6, 17, -7, -7, -13, -13, -2, 11],\n [10, 8, 20, -10, -8, 6, -2, 5, 16],\n [-12, 7, 11, -18, 11, -16, -13, -7, -18],\n [3, -8, 8, -13, 10, 5, -3, -3, -14],\n [17, -5, 12, -18, 17, -17, 15, -17, -12],\n [19, -4, -4, 12, -1, -7, 1, 6, -18],\n [3, 9, -13, 1, 4, -11, 8, 19, -20],\n [0, 18, 3, -12, 5, -12, -1, 14, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 8) of the result:\nA =\n[[15, -12, 1, -20, -16, -12, 16, 17, -2, -13],\n [11, -8, -1, 15, 16, 9, -11, 10, 4, 8],\n [3, 18, 0, 20, -12, -19, -17, -13, 11, -7],\n [-8, 0, 3, -3, 19, 5, 11, 12, 10, -3],\n [14, -9, 4, 10, -11, 13, -18, 18, -13, 11],\n [8, 1, -1, -15, 8, -4, 10, 13, 17, 16],\n [-17, -19, -9, 14, -15, -13, 0, 14, -6, -14],\n [-6, -15, -4, -17, 1, 11, 1, 6, -6, 1],\n [7, 17, -12, 13, 15, -12, -6, -1, -13, 7]]\nB =\n[[-2, -5, -10, -13, 12, -11, -3, 14, -18],\n [19, 6, 7, -15, -7, -14, -11, -6, 10],\n [8, -4, 8, -6, 5, -9, 4, 20, -16],\n [-17, 20, 10, -18, -18, 5, -4, -11, -19],\n [3, -10, 3, 14, 2, 11, 2, 13, 20],\n [-2, -19, -19, -6, 0, 14, -16, 6, 3],\n [-14, -15, 12, -4, 9, -13, 19, -14, -15],\n [-17, -20, -6, 10, 4, 12, 14, -16, -16],\n [15, -4, -7, 8, -13, 13, 19, -20, 8],\n [15, 16, 8, -16, 11, 3, -2, -9, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-709", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-14, -4, 13, -14, -4, -18, 8, 1, 17, 8],\n [-16, 9, 2, 0, 5, 0, -1, 2, -17, 0],\n [0, -20, -6, -4, -7, -2, 13, -15, -15, -16],\n [-14, 12, -8, -20, -8, 6, -14, -18, 4, 12],\n [19, -4, -7, 16, 2, 3, 8, 17, 6, 17],\n [19, 2, 10, 15, -4, 16, -18, 15, -16, -6],\n [-15, -11, 11, 2, -4, -1, 20, -6, 1, -15],\n [-17, 2, -2, 10, -18, 7, -18, -7, -3, 6],\n [-11, -6, -2, -12, -17, -6, -13, -20, -14, 10],\n [-3, -9, 9, 12, -14, 7, -18, -15, 10, 17]]\nB =\n[[-6, -14, 9, 6, -4, -3, 1, 5, 6, 19],\n [3, -13, 0, 8, 0, -18, 10, 6, 6, -12],\n [12, 12, 5, 7, 10, -20, -1, -9, -4, -6],\n [13, -5, -17, -13, 13, 4, -6, 7, -12, -19],\n [-4, -11, -12, 10, -19, 3, -2, -4, -11, 7],\n [17, 7, -20, -18, -6, -11, 0, 16, -6, 2],\n [-7, -6, -11, -12, 18, -16, 4, 5, -13, 1],\n [4, -9, -12, -11, -11, -12, 5, 14, 6, 10],\n [-2, 17, -15, -6, 8, -16, -7, -19, 2, -2],\n [3, -1, 6, 3, -4, 4, 10, 7, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-16, -13, 17, 7, -9, 4, 17, -6, 20],\n [13, -8, -13, -8, 15, -15, 17, 11, 0],\n [-14, 5, -6, 2, 17, 20, -6, 19, -5],\n [11, 16, -3, -1, -19, 2, 9, -18, 18],\n [-20, 20, 1, 8, -7, 7, 0, 11, -15],\n [-20, 0, -17, -18, 9, 10, 13, -2, -1],\n [2, 19, 4, -6, 17, 2, -19, -6, 14],\n [-11, -7, 6, -7, 14, 12, -20, 13, -2],\n [3, -17, 15, -8, 11, -12, 18, -5, -18]]\nB =\n[[-1, -11, 1, -18, -10, 4, -13, -12, -6, 11],\n [-18, -17, 9, -8, 0, 20, -2, 18, 1, -1],\n [16, 10, -11, -3, 18, -1, -3, -10, 1, -3],\n [13, 2, -20, -11, -20, 17, 18, -12, 10, -14],\n [-4, 14, 16, -3, 12, -17, 2, -10, -12, 9],\n [-13, 19, -16, -9, -20, -6, 4, -3, 17, 5],\n [19, -18, 1, 5, -2, 18, 15, 0, 20, 5],\n [-8, 15, 3, 20, 5, 0, -3, -6, -6, -15],\n [10, 7, -13, 8, 0, -4, 3, 15, 10, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5600", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-19, -18, 9, -13, -14, -9, -2, 5, 7],\n [-6, -7, -7, -18, 8, -15, 2, 7, -7],\n [-7, -1, -8, 6, 14, -19, 20, 19, 3],\n [8, -18, -17, -19, -1, -6, 11, -20, 17],\n [14, -14, -8, -20, -7, 8, -18, 3, -20],\n [-11, -8, 15, -12, -7, 15, -11, 19, 2],\n [14, -14, 14, -19, -6, -12, -4, 18, -3],\n [-6, -3, 3, 2, -9, 2, 0, 5, -13],\n [9, 13, -19, -16, 10, 12, -17, -15, 2],\n [-2, -13, 18, -8, -20, -15, -14, 6, -6]]\nB =\n[[13, 2, 3, -6, 14, -17, 16, -4, 10, 17],\n [-11, 6, -15, -15, -6, -17, 19, -14, 5, 10],\n [-19, 7, -8, -3, 9, -10, -8, 3, 8, -16],\n [14, -2, -8, -16, -7, 17, 1, -12, 19, 5],\n [-16, 8, 1, -18, 7, 17, -7, -7, -10, -12],\n [17, -15, -20, 4, -5, -6, 13, -4, -18, -18],\n [16, -4, 17, -20, -14, 5, 18, -2, 9, -7],\n [-8, -1, 5, 6, 4, -12, 20, -9, -11, -15],\n [13, 20, -2, -15, -19, -6, -4, -5, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "506", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-13, -11, -11, -11, -12, 7, 3, -2, 12, -17],\n [-18, -9, -3, 2, -1, -15, 13, -19, 9, -12],\n [6, 13, 19, 3, -4, 8, 15, -9, 10, -12],\n [-2, -4, -19, 19, -16, 18, -5, -4, 6, -14],\n [-13, -13, 2, 11, -3, 17, -9, -6, 7, 17],\n [10, -12, -13, -2, -13, 13, -17, 10, 17, -18],\n [14, -2, 8, -11, -9, 9, 9, -3, 3, 11],\n [-12, 3, 5, -18, 2, -10, -11, 15, -8, 8],\n [17, -8, 5, -1, -16, -1, -7, -7, -13, -8],\n [3, -6, -20, 1, 13, 19, -18, 5, -7, 20]]\nB =\n[[-13, -5, 0, -11, 4, 17, 1, -17, -17, 9],\n [-19, 8, 15, 0, 0, 0, -17, -20, 5, -19],\n [-12, -3, 20, -10, 4, 5, 15, 14, 17, -18],\n [20, 14, 19, 1, -13, -6, -14, -2, 19, -4],\n [-20, 8, -8, 8, 20, -15, -16, 13, -10, -12],\n [17, 19, 20, -12, -13, 19, -18, -8, -2, 13],\n [11, -5, 15, -3, -7, 9, -19, -8, 6, -4],\n [10, -6, -1, -16, -14, -3, -10, 11, 6, 5],\n [16, 7, -19, -1, -17, -8, 3, 17, 19, 8],\n [15, -19, 20, -3, -13, -6, 20, -4, 2, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1652", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 5) of the result:\nA =\n[[-15, 8, 6, 16, 13, -3, -11, 17, -4, -8],\n [6, -19, 13, 10, 2, -14, 17, 12, -9, -9],\n [-2, -12, -11, -4, 19, 18, 20, -11, -9, -6],\n [10, -6, 7, -17, 15, -20, 13, -4, 18, 17],\n [12, 0, 5, 15, -16, 12, -20, -15, 16, -19],\n [-16, 5, 20, -8, -9, -16, -19, -17, 6, -11],\n [-8, -19, 5, -6, -11, 1, 19, 4, -6, -8],\n [-13, 0, 0, 1, 12, 6, 19, 1, 9, -12],\n [14, -3, -16, 6, -15, 11, -13, 18, 0, -3],\n [-7, -6, 5, 11, 18, 7, 18, 11, -8, -6]]\nB =\n[[-3, 18, -15, -10, 11, 19, -1, 12, 19, -13],\n [14, -16, 14, -7, 0, 3, -4, -3, 13, -9],\n [-5, -17, 4, 13, 7, -10, -8, 10, 4, 18],\n [-11, 3, -20, 4, 7, 15, -3, -15, -19, -18],\n [-13, 10, -2, -15, -7, -18, -20, 9, -2, -2],\n [-12, -14, 16, 20, -14, -12, -17, 4, -9, -15],\n [-3, 19, 0, -6, -18, -19, 20, 19, -17, 11],\n [-19, 8, -19, 13, 6, 18, 17, -3, 15, -2],\n [6, -1, 0, 2, 9, 4, 10, 6, 13, -13],\n [-2, 20, 5, 7, -17, 10, -5, -11, 17, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-268", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-12, 18, 15, 15, -2, -2, -9, -8, 4],\n [15, 4, 7, 18, 9, -16, -4, -3, 0],\n [1, 18, -15, -5, -19, -20, 9, 16, 2],\n [-20, -2, -18, -19, 16, -4, 7, -3, 12],\n [-6, 1, 20, 6, 16, 11, -2, 7, 7],\n [-11, -1, 4, 0, -7, 1, 5, -10, -14],\n [-4, -3, -14, -1, 17, -10, -5, 6, -10],\n [-5, 2, -9, 19, -18, -19, 17, 3, 8],\n [13, -1, -3, -7, -3, -19, -20, -1, 13],\n [20, 20, -10, 6, 2, 17, -18, -9, 9]]\nB =\n[[10, 2, -20, 20, -1, -15, -10, 14, -17],\n [8, -11, 8, 17, -20, 19, -13, 17, -4],\n [-2, 12, -6, 10, 0, -18, -19, 14, 20],\n [-5, 0, -9, 7, -9, 12, -1, 19, 0],\n [18, 20, 15, 1, 5, -14, -14, -13, 5],\n [3, 3, 19, -9, -13, -12, -18, 0, 10],\n [3, -17, -1, -5, -11, 5, 8, -16, -10],\n [8, -6, -15, -6, -1, 13, -19, -5, -2],\n [13, -7, 3, 7, 11, 16, -11, -12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[15, 8, 8, 2, 6, 10, -14, -17, -7],\n [-11, 13, 5, 2, -12, 16, -13, -7, -14],\n [-14, -12, -18, -7, -4, 1, 5, 7, -7],\n [-12, 5, -19, -10, -4, 13, -2, 18, -3],\n [-8, -16, 2, 3, 8, -13, 5, -6, -20],\n [7, -7, 13, 10, -15, -16, 10, 16, -6],\n [-6, -16, 7, 12, -10, -15, 2, 19, -19],\n [-6, 2, 1, -12, 19, 9, -5, 9, -12],\n [-20, 17, -13, -3, 6, -3, 11, 11, 15]]\nB =\n[[15, 0, 11, 10, 16, -5, -7, 3, 4],\n [14, -4, -17, -10, -6, 9, 3, -19, 13],\n [2, 10, 16, -8, 12, -14, 11, -14, 17],\n [-8, 3, 7, 11, -3, 13, 13, 17, -20],\n [10, -20, -5, 18, -6, 12, 2, 20, 13],\n [-4, 4, -15, 10, -16, 19, 19, 9, -16],\n [-9, -14, -8, -17, -18, -9, -20, 6, -8],\n [-4, -13, 11, -1, -4, 13, 14, 14, 17],\n [3, -3, 18, 12, 2, 4, 16, 6, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3601", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -11, 10, 4, -1, -19, -6, 7, -8],\n [-7, -19, 13, 14, 16, 4, -6, -9, -12],\n [10, -7, 8, 17, -13, -18, -19, -5, -2],\n [9, 20, -5, 10, 7, -17, -11, -3, 11],\n [9, 15, -12, 15, 8, -5, 7, 0, -19],\n [14, 7, 15, 10, 12, 2, 20, -4, -20],\n [2, 6, 4, 11, -2, 3, -18, -9, 14],\n [-6, -4, 11, -14, -2, -14, -16, 19, 0],\n [-14, 16, 2, -10, -11, 0, 20, 12, -1]]\nB =\n[[12, 19, 14, 13, 15, 6, -2, -16, 8, -11],\n [19, -8, 8, -16, -9, -8, 1, 19, -6, -8],\n [-20, 17, -20, -10, 19, 1, 14, -15, 7, 10],\n [-13, -16, -4, 17, -12, -11, -1, -7, -7, 5],\n [8, 6, 4, -5, 15, 13, -5, 12, -18, 2],\n [-10, -3, 20, 8, -16, 3, 8, 8, 5, 19],\n [-18, -19, 4, -2, 19, -19, -2, -20, 6, 14],\n [20, -16, 17, -17, -4, 0, 10, 1, -10, 13],\n [-6, -11, 17, 11, 10, 16, 7, 10, -15, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4092", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, -5, 4, 18, -19, 17, 20, 18, 13, 19],\n [4, 15, -5, -3, -8, 16, 6, 13, -10, -20],\n [-8, 9, -16, -3, -7, -8, 11, -14, -13, -14],\n [-5, 10, 6, 12, 8, -13, 12, 20, -2, 0],\n [20, 0, 4, 2, -10, 12, -1, 4, 5, 19],\n [-9, 11, 12, -11, -17, -6, -15, 6, -16, -16],\n [-3, 7, 14, 1, 13, -17, -3, 20, 5, 1],\n [12, -7, 10, -11, 3, 0, -13, 11, 10, 13],\n [2, 4, -14, -2, -14, -13, -7, -20, -8, -18],\n [7, 17, -6, 15, -18, -17, -16, 5, 4, -11]]\nB =\n[[-13, -9, -18, 6, 2, 19, 12, -7, 2, 10],\n [-8, -9, 14, -3, 0, -20, 17, 20, -12, 2],\n [-7, -10, -14, 10, 3, 5, 9, 13, 17, -16],\n [-16, -2, 17, 7, 5, 2, 9, -18, 7, 12],\n [-18, -16, -2, -20, 17, -12, -16, 13, 16, 12],\n [4, 8, 4, -12, -18, -6, -17, 17, -1, 2],\n [16, -13, 16, 12, 12, -14, 1, -16, -6, 0],\n [4, -4, -14, -2, -14, 19, 3, -10, 20, -20],\n [11, 19, -19, -6, 0, 3, -4, -12, 14, -1],\n [-2, -3, -1, 9, 19, -20, 3, 3, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1677", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 17, 8, -8, -17, -4, 12, -16, 7, 3],\n [-4, 18, 19, -10, -9, -8, -13, -20, -12, 7],\n [-19, -7, -8, -19, -17, -9, -11, -18, -17, -15],\n [2, -16, -18, -11, -2, -7, 0, 7, 0, 15],\n [3, 17, -4, 1, -2, -11, -10, 17, -19, 12],\n [10, 14, 16, 15, 2, 15, 19, 18, 5, 4],\n [-4, -6, 16, -17, 1, -4, 1, -4, -7, -7],\n [-4, -13, 13, 5, 9, 1, -5, 9, -5, 17],\n [3, 15, 14, -15, -17, -3, -15, 5, 16, 6]]\nB =\n[[20, -10, 17, -5, -2, -6, 5, 20, 10],\n [-2, 3, -12, 2, -17, -11, -12, -2, -6],\n [13, -2, 0, 13, -4, -3, -4, -19, -20],\n [-11, 16, -16, -9, 15, 10, 17, -12, 5],\n [-6, -5, -8, 4, 9, -14, -17, 19, 17],\n [9, -11, 9, 18, -14, 15, 14, 3, 18],\n [15, -1, 11, 18, 5, 5, 15, 14, 14],\n [-9, 12, 15, -7, 12, 3, -6, 10, -4],\n [-9, 1, 2, 5, -7, -9, -17, -8, -3],\n [7, 17, 20, -2, 17, -18, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5694", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -4, 14, -7, 18, -2, -18, 13, 20, 1],\n [17, 6, 0, 20, 10, 6, 16, -19, -12, -2],\n [15, -11, 19, 18, -14, -17, -6, -9, -15, -12],\n [14, -13, -14, -17, -8, -2, -14, -11, 4, 14],\n [4, 8, -9, 19, -9, -15, -11, -19, 4, -14],\n [19, 2, -10, 15, 2, -14, 6, -8, -4, 11],\n [5, 1, -8, -9, -14, -20, 12, -7, 20, -4],\n [-17, 18, -20, 20, 3, 13, 13, 3, -6, -4],\n [-8, -14, -12, 14, 2, 18, 2, 5, -20, -7],\n [11, -11, -20, -16, -18, 6, 1, -3, -5, -19]]\nB =\n[[-8, -5, -13, -13, -11, 12, 10, -9, -12],\n [16, -12, -3, 9, 11, 19, 2, -10, -1],\n [-2, 15, 5, -11, 3, -8, 13, 8, 15],\n [-14, 9, -4, -8, 3, 10, 6, 0, -20],\n [-6, -18, -15, -7, 17, 12, 17, -13, 5],\n [-6, -7, -1, -2, 12, 15, 3, -11, 13],\n [15, 15, -5, -6, -3, -14, 1, 11, -2],\n [19, -20, 14, -16, -9, -9, 0, -2, -12],\n [15, 11, 14, 10, 11, 16, 11, 16, 18],\n [17, 9, 11, -19, -10, -1, 16, -12, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 19, -14, -16, 3, 20, -14, -10, -12, 9],\n [20, -18, 1, 19, -1, 11, -14, -14, -1, 4],\n [14, 3, 19, -8, 18, -17, -9, -4, -20, -4],\n [-19, -15, -10, -3, 19, 4, 18, 7, -5, -9],\n [20, 8, 2, 0, -5, 20, 5, 16, 1, -11],\n [-14, -12, 4, -6, -8, 5, 0, 2, 7, 17],\n [-9, 3, -8, 19, -19, 18, -9, 18, -7, 9],\n [20, -2, 10, 4, -17, -8, 15, 16, -18, -5],\n [5, 19, 18, -2, -6, 11, 0, -20, -15, 6]]\nB =\n[[2, 10, -9, 0, -19, -16, -12, -1, -3],\n [1, -13, 13, -12, -14, 9, -3, 6, -5],\n [0, -16, 8, 16, 1, -7, -2, 14, 3],\n [-15, -18, 13, -19, -6, 16, -6, 11, 0],\n [-4, 13, 11, 2, 14, 16, 20, 16, 12],\n [4, 16, 19, 0, 17, 19, 13, -2, 6],\n [-12, -16, -16, 4, 5, -2, 9, 15, -5],\n [-14, -3, 0, 10, -20, -18, 10, 4, -13],\n [-20, -14, -14, -13, -2, -4, -10, 20, -10],\n [17, 20, -19, -17, 7, 12, -10, -18, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7250", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 7) of the product matrix AB given:\nA =\n[[-16, 0, 1, 16, -10, 1, 20, -8, -18, -8],\n [7, -10, -10, 0, 0, -14, -4, -7, 12, -10],\n [-8, -20, 13, -12, -8, 16, 9, 20, 16, -14],\n [-7, -15, 13, -5, 16, 15, -15, -13, 3, -18],\n [-17, 11, -20, 13, -12, -9, -11, -11, 2, -15],\n [3, 3, 0, 10, 20, 9, 13, -3, -9, 14],\n [-14, 20, 19, 4, -15, -20, -5, -17, 8, 17],\n [7, 1, -13, 11, 12, -8, 6, -3, -3, -8],\n [1, -7, -10, 18, 1, 15, -4, 11, -7, 8],\n [-15, -17, -10, 19, -11, 7, -10, 14, -6, -13]]\nB =\n[[-1, 0, -20, 8, 3, 9, 19, 14, 12],\n [-1, -5, -12, 10, -4, 10, 2, -15, 9],\n [-14, 19, -10, 13, -9, 6, -9, -8, -13],\n [-5, 8, 14, 8, 10, -8, -9, -19, 12],\n [-13, 20, 19, 20, 11, 17, 7, -6, 2],\n [3, -8, 0, -9, -8, 18, 2, 7, -7],\n [-4, 3, 13, 1, -11, -13, 0, 16, -14],\n [5, -8, -5, 9, 10, -16, 11, -5, -12],\n [1, 19, 16, -7, -5, -1, -6, 5, -12],\n [-20, 14, -1, -15, -11, 12, -5, 15, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-465", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 10, -19, -3, 7, -17, -20, -5, -19, 15],\n [-20, 18, 2, 5, -10, -20, -10, 3, -11, -7],\n [-7, -14, 2, 1, 15, 6, -19, 18, -2, -14],\n [-9, -18, -16, -13, -7, 15, -14, -14, 11, -13],\n [-9, -11, -7, -12, 17, 9, -16, -20, -20, -1],\n [-10, 5, -18, -15, -10, -13, 8, -11, 13, 3],\n [-4, 11, -10, 13, 3, -16, 8, 13, -5, 4],\n [16, -13, 8, 4, 2, 13, -18, 9, 13, 11],\n [8, -12, -19, 18, -14, -16, -13, 11, -3, 17]]\nB =\n[[-3, 20, -5, 0, -11, -17, -13, -2, 19, 19],\n [-12, 9, -4, 19, -6, -17, -15, -5, 5, 16],\n [2, -8, -4, 6, 1, 16, -2, 18, 14, -8],\n [-7, 10, -19, 18, 16, -7, -12, -11, -14, 7],\n [4, 7, -19, -4, -17, -8, -3, -18, 16, 12],\n [20, 3, -13, 14, -19, 12, -9, 1, -8, -11],\n [-4, -16, -12, -8, 2, 9, -17, 0, -12, -14],\n [-5, 2, 2, 10, -16, -15, -20, 7, -3, 3],\n [-8, 12, -11, -14, 16, 11, 1, -5, 3, -7],\n [-10, -2, 2, 13, 19, -8, 18, 7, 19, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33541", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -17, 7, -9, -5, 15, -1, 5, 5],\n [1, -12, -16, -4, 13, -19, -14, 15, -8],\n [-1, 9, 9, -10, 10, -18, -19, -18, -6],\n [-4, -14, -16, 13, 12, -5, 16, -18, 0],\n [20, -13, 1, -16, -4, 16, -7, 18, 20],\n [7, 10, -4, 14, 19, 1, 8, -11, -3],\n [14, -5, -14, 9, -2, 2, -13, -4, 0],\n [5, 7, 18, 12, 19, -2, 8, -1, -1],\n [-11, -9, 12, 4, 4, -17, -17, -12, -6],\n [5, -6, 5, 7, -14, 11, -9, 14, 11]]\nB =\n[[-12, -7, -8, 12, 11, -2, 9, -5, -9, -11],\n [-19, -3, -8, 8, 3, 17, -9, 8, 1, 15],\n [-20, 19, 13, 13, 12, -17, 17, 9, -1, 5],\n [-6, -14, -14, 8, 2, 13, -1, -6, 12, -4],\n [-1, -8, 3, 16, -14, -13, 2, -7, -17, 0],\n [-11, 1, 9, 9, -5, -10, 1, 8, 4, -7],\n [-7, -19, -8, -18, 9, -3, 15, 0, -2, -5],\n [7, -17, -6, -20, -5, -1, 12, -4, -16, -16],\n [18, -8, 15, 9, -17, 2, 0, 0, -15, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -2, 17, -9, -7, -9, -6, -2, 7, 19],\n [20, -16, -16, -15, 2, -18, 16, 12, 0, -1],\n [-20, 18, -4, 8, -13, 5, 7, 13, 5, -8],\n [16, -8, 17, 4, 2, 1, 0, 9, -10, -17],\n [12, -9, -12, 11, -10, 16, 3, -14, -13, 12],\n [4, -20, -18, 19, 7, 12, -20, 17, 6, 17],\n [14, -11, -9, -11, 13, 3, 7, 1, -5, -8],\n [15, 15, 2, -7, 11, -18, 6, -2, 1, -20],\n [-16, 12, -2, 15, -15, -6, 15, 12, 3, 6],\n [-10, 2, 12, 20, 8, 10, -20, 13, -3, -3]]\nB =\n[[-15, 19, -20, 9, -17, 11, -11, -16, -12, -16],\n [-10, 14, 6, -17, -11, 18, 12, 17, -13, 3],\n [18, 12, 20, -2, -19, -10, 14, -4, -18, 1],\n [14, 0, 4, 18, -19, -20, -14, -1, -15, 15],\n [0, 14, 15, -13, -17, -5, -18, -14, -19, -20],\n [-20, 17, -14, 3, -16, 0, 7, -3, 3, 11],\n [12, -11, -12, 12, 12, -14, -17, 7, 2, 11],\n [-5, -11, -7, 18, 15, 13, 3, -3, -5, 20],\n [16, 20, 4, -13, 3, -1, 9, -1, -3, -17],\n [15, -15, -18, -3, 19, -3, 2, 14, -15, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 3, -6, 6, 11, -9, -16, -14, 1, 6],\n [-6, 18, 14, 5, 2, -8, 5, -18, 8, -19],\n [7, 2, 15, -15, -10, 17, 13, -4, -18, 13],\n [1, 8, 8, -16, -11, -11, -12, 0, -8, -11],\n [17, -10, -17, 10, 13, 14, 18, 18, 12, -13],\n [11, 12, -13, -7, 13, -13, -14, -8, 0, 11],\n [-10, -7, -10, -19, 13, -4, -7, 4, 6, -13],\n [-4, -16, -9, 17, -3, 5, 10, 16, -15, 20],\n [-6, 5, -9, 20, -7, -20, -4, 12, 8, 10],\n [-13, 9, -8, -5, -19, -3, 14, -2, -8, -17]]\nB =\n[[-2, 4, 17, 10, 15, -17, 18, -14, -5],\n [-16, 2, 15, 11, 3, 4, 7, -2, -14],\n [20, -4, -19, -5, 18, -3, 18, -20, -18],\n [0, 9, -10, 1, 4, -18, 9, 3, 15],\n [2, -13, -17, 18, 10, 8, 15, -8, 20],\n [-12, 0, -18, 4, 4, -9, 8, -10, -10],\n [5, -7, -5, -11, 10, 10, 15, -11, 5],\n [-1, -12, -6, -12, -14, 5, 3, -9, -1],\n [-7, 1, -5, 8, 11, -2, 14, 11, -1],\n [19, -1, -13, 14, -8, 20, -15, -5, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28979", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 8) of the product of the following matrices:\nA =\n[[13, -15, 12, -6, -6, -7, 18, -16, 5],\n [-4, -5, 14, 17, 2, -8, 12, 8, 13],\n [13, 6, -6, -12, 5, -18, 15, -16, -1],\n [-1, -16, -11, -5, 4, 4, 9, -7, 1],\n [7, 9, -2, 17, -1, 14, 1, -6, -10],\n [13, 3, -15, -4, 7, 10, 15, -12, -11],\n [0, 13, 10, 8, -10, 12, -20, 0, 2],\n [-12, -20, 0, 1, -17, -20, -11, -6, 15],\n [8, -16, 8, 6, 4, -5, -5, 15, 4],\n [20, -20, -16, 20, -1, -16, 15, 8, 13]]\nB =\n[[-3, -19, -5, 8, 12, -5, 14, -4, -17, -17],\n [4, 12, -7, 3, -10, 4, 7, -14, 15, -11],\n [15, 10, -2, -3, -15, 7, -14, 17, -9, 20],\n [13, 4, -4, 12, 2, -12, -15, -19, 17, -12],\n [-18, -5, 4, 3, 8, 19, 5, 17, 14, 2],\n [-17, -7, 18, -14, -13, -2, -19, -20, 17, -8],\n [3, 11, 9, -15, 17, 12, 2, -11, -6, 2],\n [15, -20, -13, -18, -7, -4, 13, -15, -16, 20],\n [19, 8, 14, -3, 19, 9, -6, -6, -5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "516", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 5) of the result:\nA =\n[[-11, -2, 16, -18, 15, -17, -10, 20, 12, 7],\n [11, -5, -12, -10, -15, 6, -9, 1, 19, 16],\n [0, 12, -4, 8, 19, -11, -3, -8, 6, -11],\n [11, 20, -18, 1, 6, -18, 12, -19, -10, -11],\n [18, 12, -14, -6, 5, -10, 17, 6, 18, -14],\n [-20, -11, 0, -6, 9, 9, -13, 3, -2, -18],\n [-6, 15, -15, -3, 17, -2, 9, -8, 18, -9],\n [13, -9, 3, -17, 15, -7, -4, -18, 17, 2],\n [-8, -12, 0, 20, -13, -4, -5, -5, 7, -5],\n [-7, 17, -1, 20, 13, 8, -18, -11, -1, -19]]\nB =\n[[6, 11, -11, 19, -4, 12, -15, 18, -3, -12],\n [-13, 4, 10, -17, -1, 7, 19, -20, 19, 2],\n [-8, -5, 5, 10, -20, -4, -5, 16, -11, 17],\n [10, -11, 13, -15, 7, 7, -8, 20, -9, 19],\n [-19, -13, -12, -13, -18, -12, -8, -12, 10, 4],\n [-13, 10, 10, -4, -2, -18, 9, -11, 8, 19],\n [-3, -9, 2, -10, -12, 3, 4, 4, -12, -9],\n [-10, 17, 7, -13, -11, 4, 15, -12, 20, -13],\n [-18, -3, 14, -4, 15, 7, -6, -2, 1, -15],\n [-14, -12, -1, 16, -10, -19, 1, 15, -16, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-15, 1, -11, 19, -1, 7, 2, 14, -20],\n [8, -12, -12, 1, -19, -5, 19, -15, -8],\n [12, -2, -6, 12, -11, -20, -9, 8, -4],\n [-17, 8, -14, -8, -16, -15, 13, -14, 7],\n [-11, -17, -18, 4, 2, 6, -7, 17, 11],\n [2, 19, 16, -18, 14, -8, 13, 3, -20],\n [-9, -13, -2, -12, 7, -7, 6, -3, 20],\n [-15, 12, 16, 4, -8, 2, 15, 12, 0],\n [13, 15, -4, -11, 2, -19, 14, -7, 20]]\nB =\n[[-19, -2, -5, 4, -20, -19, 6, -19, 9],\n [-11, -2, -5, -8, -13, 10, 4, 18, 0],\n [17, 20, 8, -15, -3, 14, 6, -16, -14],\n [-11, -11, 7, 15, -11, 14, 14, 16, -1],\n [-8, -10, -2, 7, 17, -17, 16, -2, 16],\n [-7, 10, 7, 15, 17, -2, -20, 2, 7],\n [-17, 20, -3, 18, 4, -3, -15, -2, -9],\n [4, 14, -20, -16, -20, -13, 18, -3, -12],\n [-16, -17, 8, -20, 9, -20, -18, 1, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27091", "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, -1, 10, 9, -5, -19, -4, -11, -14],\n [-12, -4, -12, -12, 16, 3, 18, -10, -13, 4],\n [-19, -11, 3, -5, -2, 10, -10, -15, -15, 11],\n [18, -8, -18, 20, 14, 17, -4, -18, 13, -9],\n [3, -15, -10, 6, 3, -3, 6, 20, 0, 13],\n [12, -3, -18, 3, -20, -15, -2, 1, -13, -16],\n [-12, 0, 7, -17, 3, -13, -4, 13, -1, -5],\n [-11, 13, -11, 9, 9, 4, 20, -14, -1, -4],\n [-18, 19, 15, 5, -11, 13, -7, -13, 6, -11]]\nB =\n[[-6, 16, 1, 10, -19, 10, -7, -11, 9, 15],\n [19, -6, -7, 10, 8, 6, 0, -12, -1, 14],\n [-6, 3, -5, 15, -10, -13, -18, -2, 20, -18],\n [15, 4, 15, -10, -5, -4, 3, -4, -1, 1],\n [-15, -14, -7, -10, -9, -16, -16, -1, -6, 5],\n [12, 9, 3, 2, -12, -18, 15, -14, 1, -7],\n [8, -5, 13, -11, -14, 4, 6, -6, 11, 7],\n [-12, -14, -5, 5, 14, -4, 2, -13, -19, 10],\n [11, 8, -18, -13, -19, 10, 16, -1, 8, -4],\n [-11, 20, 1, -15, 13, 10, -9, -9, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28580", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 6, 3, -9, -3, -5, -17, -9, 12, 1],\n [-3, 12, 6, -2, -7, 4, 13, 3, 17, 2],\n [-16, 15, 3, 15, -16, 18, -15, 15, -17, -11],\n [-20, 0, 19, 18, 16, -18, 10, 6, -4, 2],\n [-8, 6, -1, -8, 3, 20, -18, -11, -20, -8],\n [-7, 12, -19, -19, 18, 20, 10, -17, 13, -2],\n [16, -12, 3, -8, 9, -2, 20, -11, -7, 19],\n [-1, -17, 17, 18, -16, 11, -15, -7, -15, -7],\n [-9, 6, 5, -9, -13, -11, -5, 5, -13, 20]]\nB =\n[[8, -1, -4, -2, -4, 18, -20, 8, -7],\n [-4, -8, 8, 13, 6, 12, 8, 16, 18],\n [-2, 3, -7, 16, -16, 3, 13, 10, 9],\n [-12, 6, 7, 5, -3, 15, -13, -3, -1],\n [11, 8, -3, -14, -20, 7, 12, -17, -1],\n [15, 10, 17, 7, -18, -15, 2, -14, 15],\n [-20, -15, 3, 16, 15, 3, 17, 8, 16],\n [11, 4, -11, 14, 4, 6, 11, -9, -17],\n [5, -18, -4, -12, 8, -20, -3, 20, -1],\n [20, 13, 7, 14, -5, 0, -8, 14, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26567", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 9) when matrix A is multiplied by matrix B?\nA =\n[[17, -15, 17, 17, -8, 18, -8, -9, 12, 7],\n [-18, -3, 5, 19, -19, -17, 7, 7, 4, 5],\n [-19, 13, 9, 0, 16, 2, 12, -19, 6, 1],\n [13, -5, -1, 5, -5, -15, 2, 16, -13, -15],\n [16, 1, -15, 11, -4, 17, -4, 16, 2, -8],\n [11, 1, -14, 1, 0, -15, -7, -5, -18, -12],\n [0, 9, 9, 11, 2, -18, -20, -18, 16, -14],\n [-18, 15, -18, -17, 10, -19, -7, 16, 10, -19],\n [10, 1, -11, 9, 12, -2, 4, -20, 11, 4],\n [20, -4, -7, -8, 17, 18, -19, 11, 11, 19]]\nB =\n[[-15, 4, -18, -3, 17, -18, -16, 3, 13, 18],\n [3, 15, 7, 13, -5, 15, -14, -3, -15, 7],\n [18, 13, 20, 8, -17, -7, -16, 4, 18, -13],\n [-6, -2, -10, -1, 15, -3, -7, 17, 4, -5],\n [-3, -20, 19, -20, -20, 0, 4, 6, -11, -9],\n [7, 11, 12, -13, 5, 20, -19, 14, 13, -15],\n [10, 2, -9, 7, -6, -2, -9, -19, -10, 16],\n [17, 4, 0, 15, -12, -9, -11, -16, 12, -16],\n [-5, 16, 16, 8, -3, 8, -15, -3, 11, 10],\n [-10, 5, 7, 6, -2, 6, -1, -18, -5, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[8, -6, 9, 19, -20, 8, 9, 19, 11, -11],\n [6, -13, 15, 14, 15, 15, 4, -1, -4, 2],\n [4, 10, -15, 14, -17, 19, -1, 20, -20, 5],\n [13, -11, 2, 3, -8, 8, 6, 10, -11, 10],\n [18, -11, 3, 12, -7, 14, 13, -4, 0, 11],\n [-18, -6, -13, 11, 17, 5, 9, -12, 11, -10],\n [1, 13, 20, -3, -2, -3, 16, -3, -9, -17],\n [6, -16, -15, -8, 2, 4, -17, 11, -6, 5],\n [-10, -12, -10, -19, 6, 5, -13, 0, 0, -13],\n [-20, 17, -8, -12, 7, -15, 2, 15, -4, -12]]\nB =\n[[-9, 1, -9, -15, -12, 16, -18, 13, -13, -11],\n [20, -12, -7, 16, 6, 20, 11, -17, -19, 12],\n [0, -20, -10, -20, -10, -14, -19, -6, -13, 5],\n [19, 14, 20, 20, 0, 17, -13, 11, -13, -11],\n [2, -17, 17, 9, 20, 2, -16, 0, -15, -4],\n [4, 3, 1, -8, -4, -7, 13, 5, -2, 5],\n [-18, -19, 7, -19, 1, -14, -17, 17, 18, -1],\n [-15, -12, 10, 5, 15, 5, 7, -16, -11, -3],\n [-6, 12, -16, 16, 19, 1, 1, 1, -6, -4],\n [7, 1, 0, -4, -16, -3, -4, -17, -14, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-752", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[16, 19, 19, -12, -2, -12, 2, 10, 11, 10],\n [-4, 18, 1, 14, 9, 19, 16, 5, -15, 13],\n [11, 4, -8, 17, 17, -19, -16, -10, -10, 3],\n [-7, 9, 19, 14, 0, -16, 17, -19, 19, 16],\n [13, -10, 15, -10, -12, -15, 13, 16, 11, -9],\n [11, -4, -17, 12, -12, 13, 18, 9, -1, 18],\n [2, 20, 14, 2, 18, 2, 16, 2, 18, 7],\n [-2, 9, 0, 3, 0, 5, 15, 5, 12, 15],\n [-17, -12, -13, -19, 8, 2, -15, 15, 0, 1]]\nB =\n[[-12, 13, 5, -20, 15, -16, 20, 1, -17],\n [-19, -5, -5, 1, -20, -6, 3, -17, -3],\n [-4, -14, -11, -20, -19, 1, 11, 8, 14],\n [-4, -9, 3, 9, 9, -1, -14, 17, -14],\n [9, -9, 10, -3, -19, 12, -10, 13, -5],\n [14, 12, 0, -1, -13, 5, 12, 5, 16],\n [9, 10, 12, -10, 20, -16, -19, -8, -3],\n [5, 4, -7, -16, -19, -17, -9, -10, -17],\n [-12, -11, 6, -15, -6, 10, 1, -15, 12],\n [8, 0, 9, 0, 15, 1, -1, 1, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1532", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-10, 10, 19, -8, -3, 1, -4, 17, 4, 11],\n [-6, -8, 5, -10, -8, 12, 16, 17, -20, 18],\n [6, 15, 11, 20, -6, 10, -15, 4, -3, 1],\n [10, 15, -12, -18, 12, 6, -20, -12, -16, -6],\n [-12, 7, -8, 3, -11, 1, 18, 1, 16, 18],\n [-1, -11, -11, 5, 4, 7, -8, -6, -15, -9],\n [-2, 11, -10, 17, 12, -19, -6, 15, -16, -6],\n [-11, -4, 13, 3, -11, 9, -18, 16, -18, 19],\n [-16, 7, -7, 18, -10, -13, 16, -13, -9, -6]]\nB =\n[[-2, 7, -14, 19, -14, 9, -3, 3, -15, -17],\n [-18, -15, 5, 17, -10, 8, -1, -11, 5, 6],\n [-7, 15, -9, 2, 0, -13, 18, -12, 3, 10],\n [4, -4, 8, -18, 0, -13, -7, 18, -5, -3],\n [10, -10, 17, -1, -17, -1, 10, -1, -10, -20],\n [-3, 18, 12, 15, -3, 10, 14, 18, 17, -6],\n [-15, -13, 19, 1, -20, -8, 3, 0, -17, -14],\n [-9, -8, -5, -15, -7, 10, 15, 16, 20, 14],\n [-11, -4, 9, -14, -3, -2, -6, 18, 1, 18],\n [9, -1, 11, 4, 2, -16, 20, 9, 18, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 9) of the product of the following matrices:\nA =\n[[16, -14, -16, -6, -13, -12, -10, 1, 13, 14],\n [-8, -10, 11, -6, 17, -20, 3, 19, 1, -18],\n [-7, -19, 11, 17, 12, -15, 20, 18, 4, 13],\n [-10, 16, 20, -14, 1, 18, -11, 0, -15, -20],\n [13, -7, 15, 6, -12, -15, 10, -4, 15, 0],\n [6, 20, 7, -5, 14, 15, 14, -2, 0, 12],\n [2, -15, 11, 1, -18, 14, -5, 4, -4, 18],\n [-8, 7, -10, -11, 18, 3, 17, 3, 12, -4],\n [15, 14, -15, -5, 7, 20, 11, 5, -10, 4]]\nB =\n[[10, 0, -18, -9, 19, 20, 4, -4, 17],\n [15, 15, -2, -19, -4, 9, -11, 14, 15],\n [12, -20, -3, -17, 6, 4, 7, 1, 4],\n [-4, -9, -5, 16, -5, -4, 10, -6, -8],\n [19, 6, 0, -19, -13, -14, -11, -17, 20],\n [15, 14, -18, -3, 3, 11, 13, -19, -19],\n [-11, 2, -6, -9, -4, -3, -7, -4, -6],\n [-9, -5, 11, 2, 17, 13, 13, -5, 13],\n [19, -14, 12, -17, -14, -3, -17, -10, -1],\n [-10, -6, -4, 13, -9, 7, 14, -13, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 8) of the result:\nA =\n[[1, 3, -19, 10, 1, -20, -7, 4, 15],\n [15, 20, -18, -16, -20, -2, 12, 9, -9],\n [-11, 13, -5, 19, 8, -6, -10, 13, 15],\n [9, 14, -12, -3, -2, 18, -17, -15, 12],\n [11, -5, -10, 1, 15, 2, 5, 10, 8],\n [-16, 17, 4, 13, -9, 1, -12, -1, 8],\n [8, 6, -4, -16, -8, -6, -6, -3, -19],\n [2, -8, -17, 4, -10, -9, -8, -12, 17],\n [-15, -11, 2, -6, 2, 19, 16, 13, -5],\n [20, 11, 17, 19, -16, -4, 1, 18, 20]]\nB =\n[[-3, 7, -8, -20, -2, 13, -17, -18, 20],\n [-11, 7, 13, 18, -2, 15, -18, 2, -4],\n [-14, 5, -3, -15, 10, 8, -12, 14, -4],\n [-9, 15, 3, -11, 9, 8, 18, -11, 18],\n [7, -3, 20, -4, -10, -20, -4, 15, 15],\n [-12, 7, 12, -18, -13, -15, -15, 8, 16],\n [-9, -12, 20, -2, -4, 11, 14, -7, -5],\n [0, -9, 3, 13, -13, 0, -13, 7, -5],\n [-11, -6, -17, 5, -6, 15, 11, 17, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[20, -12, 14, 7, 16, -12, -19, -18, -16, -11],\n [7, -6, -7, 2, -8, -5, 9, 19, -13, -4],\n [9, -4, 14, -20, 3, 4, -19, 4, -7, 18],\n [12, -4, 10, -11, -15, 18, 4, 17, 16, 9],\n [13, -3, 3, 6, 6, 18, 0, -2, 18, 2],\n [18, -6, -19, 14, -1, 7, -6, -5, 12, -9],\n [18, 18, -1, 8, -18, -16, -19, 2, 5, 5],\n [-14, -11, -16, -9, 11, 10, 1, -4, -1, -1],\n [-13, 13, 2, 17, 7, -8, 8, -13, -10, -3]]\nB =\n[[4, 1, 14, 8, 0, -14, -9, 15, 3, 11],\n [6, 11, 11, 11, 5, -10, -3, 18, -16, -5],\n [-10, 14, -10, 2, 13, -4, -11, -3, -13, 5],\n [-18, 3, -18, 17, -19, 14, -4, -12, 15, 1],\n [10, 13, 3, -12, -19, 0, 13, 6, 16, -14],\n [1, -17, -7, 13, 2, 4, -20, -6, 11, -7],\n [20, 0, -14, 15, 0, 19, -9, -6, -6, -4],\n [13, 14, 18, 17, -7, -16, 9, -17, -6, 18],\n [14, -11, -19, 3, 7, 1, 11, 10, -2, 0],\n [-18, -15, 11, -19, 3, 6, -12, -8, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 2) of the result:\nA =\n[[-7, -5, -11, -1, -5, 13, -5, -7, 7],\n [-3, 5, 17, -14, 13, -14, 12, 14, 18],\n [0, 7, 11, -5, -11, 2, -6, -15, 12],\n [18, -9, 15, 10, -11, 13, 20, -11, -10],\n [-7, -18, 12, -14, -17, 18, -11, -6, -5],\n [17, -17, -17, 15, 6, 1, 1, -4, 13],\n [11, -15, 12, -13, 15, -16, -16, -11, 19],\n [-14, -9, 9, 4, 7, -8, 1, -3, 6],\n [-13, -15, -10, 8, 20, -16, -14, 1, -17],\n [11, -2, 12, -20, 20, 20, -13, 11, 9]]\nB =\n[[7, 20, 11, 4, 13, 12, -8, 4, 19],\n [18, -11, 10, -10, 4, 13, -1, -14, 12],\n [14, 8, -9, -16, -9, 8, 14, -1, 16],\n [-20, -5, 9, -12, -11, -8, -1, 8, -17],\n [7, 16, -8, -18, 16, -2, 7, -2, -4],\n [-3, -3, 2, 19, -12, 8, 8, -19, -4],\n [10, 7, 18, 9, 14, -1, -5, 13, -7],\n [5, -1, 3, -3, -12, -2, -1, 9, 5],\n [10, 14, -18, 19, 8, -15, -20, 3, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[13, -14, -10, -10, 15, -1, -5, -16, 3, 9],\n [9, 18, 16, 12, -1, 1, 20, 0, 16, 6],\n [17, 14, 17, 19, -15, 11, -5, 7, -5, 6],\n [-18, 0, 17, 17, 9, 1, -2, 10, -1, -2],\n [-19, 19, 18, 6, -13, 6, -6, -9, -7, -14],\n [-4, 5, 16, -1, -11, -2, -3, 9, 9, 4],\n [3, -11, -19, 17, 11, 14, 16, -14, -14, 6],\n [-11, 12, -14, -15, -15, -8, -8, -19, -2, -2],\n [17, -19, 5, -15, -1, 2, -6, -15, 7, 14],\n [-10, -13, 3, 0, 15, -14, -16, 8, -5, -15]]\nB =\n[[-7, -19, 4, 10, -8, -3, -4, 7, -9],\n [14, 1, 18, -20, 16, 0, -20, -17, 11],\n [-20, -8, -4, -9, -14, -18, 5, 10, 15],\n [5, -18, 7, -4, 17, 9, -19, -13, -7],\n [16, 14, 18, -10, -6, -19, 16, 11, 19],\n [-8, -4, -6, 12, -5, -8, 1, 2, 15],\n [-11, -4, 9, -8, 9, 9, -14, -11, 14],\n [-19, 9, -2, 18, 16, -18, 4, 13, 1],\n [17, -7, 18, -19, 11, -18, 20, -13, 5],\n [11, -10, -20, -6, -17, -17, 7, -11, -10]]\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[[2, -18, 18, 18, -4, 1, 6, -5, -5, 19],\n [-18, 12, -19, 18, 6, -6, -14, -12, 20, -15],\n [-9, 9, -1, -1, 6, -1, -14, 19, 19, 9],\n [-13, -19, -7, -11, -3, -3, -5, -16, 10, 16],\n [-1, 2, 11, -4, -8, -8, -4, -6, 5, 7],\n [9, 14, 1, -11, -10, 17, 12, -15, 16, -14],\n [-9, -14, -19, -20, 2, 4, -3, -14, -18, 8],\n [-11, -16, 13, -13, -7, 19, -15, -20, 12, 19],\n [-10, 3, -11, 2, -5, 16, -5, 10, -15, 9]]\nB =\n[[16, -20, 4, 0, 14, 17, -16, -9, -16],\n [-12, -12, 14, -20, -11, 18, 15, 16, 14],\n [-4, -8, -15, 16, 11, -10, -4, -16, -15],\n [-11, 12, 9, 0, -4, 6, -18, 8, -19],\n [8, 15, 13, 16, -20, 5, -20, -17, 18],\n [-7, -3, 13, -20, 1, -5, 1, -5, 7],\n [7, 1, -15, 4, -19, -14, -4, 14, -1],\n [-19, -14, 11, -2, -9, -12, 6, -7, -19],\n [0, -17, 0, 1, -19, -4, -2, 19, 3],\n [-1, 17, -9, 4, 2, 13, 11, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1748", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-18, 4, 7, -9, 5, -13, -16, -10, 14],\n [6, 20, 17, -2, 11, 7, 15, -3, -11],\n [11, -3, -9, -13, 12, 17, -7, -19, -12],\n [-16, 13, -2, -14, 18, -4, 5, 6, 7],\n [-1, -15, -13, 11, -2, 11, -2, 3, 3],\n [-4, -3, -9, 20, 2, -3, -5, -5, 15],\n [2, 1, 18, 12, 3, -1, 12, 10, 19],\n [-13, -11, -20, 0, 4, 11, -11, -12, -1],\n [-1, 19, -14, -10, 0, 17, -2, -6, -15],\n [-11, -5, -10, 14, -13, 7, -18, -19, -7]]\nB =\n[[8, -18, -20, -6, -1, 1, 13, 12, -12, -18],\n [-19, -17, -5, 12, -12, 19, 17, -3, -5, -13],\n [2, 15, -18, -6, 17, 12, -3, 2, -18, 9],\n [-4, 11, -14, 18, -7, -6, -9, -13, -5, 20],\n [13, 3, 8, -5, -16, -16, 9, -16, -8, 14],\n [4, -7, 5, -3, -1, 13, -14, -11, -6, -4],\n [-10, 13, 6, 0, 10, -17, 20, -4, -1, 4],\n [19, 2, -6, 12, -2, -6, 20, -16, -5, 11],\n [1, 11, -8, 17, 5, -4, -16, 12, 6, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30526", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[16, -14, -3, 10, -15, -19, -8, -10, 5, 0],\n [-19, 19, -1, -4, -5, -16, -7, 3, -17, 3],\n [-12, -18, -12, -3, 15, -2, 3, -17, -12, 12],\n [-20, 14, -11, -9, -3, -7, -11, -11, -3, 3],\n [-20, 9, -6, -13, 14, -3, 20, -5, 0, -6],\n [-16, -14, -14, 6, 4, 1, -8, -4, 20, -8],\n [5, -12, -16, 18, 12, -17, 7, 5, -17, -5],\n [16, 1, 15, 17, 14, 4, -13, -4, -3, -9],\n [12, 2, -9, -10, -8, 14, 6, 4, 19, -18],\n [4, -11, -4, -18, 1, 17, -7, 6, -1, -3]]\nB =\n[[-8, -15, -11, 16, 8, -15, 18, -10, 4, 9],\n [-1, 16, -5, 10, 8, -15, 8, 11, -12, 16],\n [2, -5, -3, -2, -19, -11, -9, -3, -2, 17],\n [16, 6, -7, 13, -19, 12, -2, 6, 9, -14],\n [6, 0, -14, 4, 17, -3, 12, 12, 11, 4],\n [-7, 17, 17, -17, -3, -11, 14, 14, 19, 2],\n [4, -20, -3, -6, 4, 11, -1, -4, -10, -8],\n [4, -1, 4, 10, -20, -5, 7, 0, 9, -18],\n [13, -15, 8, -18, 12, -10, -16, 11, -3, -1],\n [18, 19, 7, -8, 5, -5, 4, -11, 8, 17]]\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[[-1, 5, 11, 18, 17, 3, 10, 19, -9],\n [15, -11, -15, -14, 10, 6, -13, -18, 19],\n [0, -20, -6, -14, -6, 4, -18, 9, -7],\n [-17, 15, -18, -16, 4, 10, -10, -13, 5],\n [-19, 7, -11, 18, 16, 18, 0, 7, 17],\n [12, -10, -20, 12, -18, 5, -6, 20, -7],\n [2, -13, 15, -1, -15, 12, 7, 17, 9],\n [-4, -12, 7, -14, 7, -4, 19, -16, -16],\n [-7, -15, -14, -4, -12, 10, 1, -12, -5]]\nB =\n[[15, 13, -8, -2, -9, 15, -11, -5, 7, -2],\n [19, -15, -17, 9, 18, 10, 6, 0, 16, -12],\n [14, 0, -4, 3, 10, -15, 14, 16, -8, 4],\n [11, -20, 14, -2, -9, 19, 19, -1, 12, 8],\n [-5, -7, -14, -15, 0, 15, 1, 19, -2, 4],\n [-18, 15, 13, -10, 6, -19, -15, -19, -4, 19],\n [-7, -11, 12, -9, 11, 3, -7, -16, -16, 11],\n [12, -17, 9, 20, -4, -18, -8, 15, -3, 2],\n [14, 12, 15, -4, 18, 13, -9, -16, 19, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5840", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[19, -8, 5, -7, 11, -10, 17, -5, 1],\n [-5, -8, -9, -3, 8, -3, -19, -19, -18],\n [8, -13, -10, -9, 11, -17, -12, 3, -5],\n [-4, 1, -14, -11, 8, 15, 3, -7, -7],\n [4, 1, 2, 11, 5, 6, -9, -2, -2],\n [13, 11, 8, 0, 14, -16, -9, -14, 20],\n [-19, 4, -11, 17, -15, 6, 14, -11, -12],\n [-1, 16, 14, 16, 19, -13, 10, -5, 7],\n [-15, 11, 7, -10, 2, 9, -12, 7, 3]]\nB =\n[[7, 3, -6, 18, 12, 13, 1, 8, 13],\n [-11, 9, -10, 13, 0, -8, 4, 0, -20],\n [-16, 1, -14, -8, 2, 0, -15, -1, -9],\n [19, -12, 7, -10, 11, -10, 3, -6, 20],\n [14, -4, 4, 14, -2, 20, 10, -4, 2],\n [-20, -11, -13, 5, 13, -2, -7, -13, -20],\n [4, 3, -1, 9, -16, -18, 11, -4, -16],\n [-10, 17, -17, 18, -2, 18, 2, -4, -8],\n [6, -20, -19, -3, 15, 12, 15, -19, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1087", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-5, -17, -12, 0, 2, -19, -18, 2, 5, -14],\n [15, 12, 15, -17, 2, 4, 20, 5, 7, 7],\n [0, -11, 6, -6, -4, 18, 14, -16, -5, 2],\n [18, -12, 12, 14, 19, 3, 3, 3, -2, 18],\n [4, 10, 17, 4, 6, 11, -10, -16, 12, -2],\n [-5, 14, -10, -10, -11, 13, -16, 2, 4, 8],\n [19, -8, 11, 13, -9, 3, 19, 0, 8, 2],\n [12, -13, -8, -16, 20, -11, -7, 3, -10, -18],\n [8, 9, 16, -14, -4, -1, -10, 4, 3, -19],\n [6, -2, 8, 16, -10, -2, 7, 18, 0, 5]]\nB =\n[[1, -15, -10, -7, 15, 19, 20, -19, -1, 1],\n [18, -17, 8, 3, -20, 3, 9, -9, -2, 16],\n [19, -17, -6, -1, -1, 0, -11, 9, 3, 19],\n [19, 17, -18, 8, -13, 8, -11, -16, -10, -17],\n [14, 19, -9, 0, -5, -7, 0, 6, 15, -20],\n [-20, 1, -6, -1, -18, -7, -12, -2, 19, 13],\n [-17, 12, 16, -19, 6, -4, 10, 20, -15, 10],\n [-18, 19, -18, 12, -8, 0, 16, -5, 0, -8],\n [-17, 10, -12, 12, 16, 16, 3, 4, 20, 8],\n [19, 15, -6, -3, -1, -16, -3, 19, -20, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "483", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 5, 8, 13, -2, -3, -19, 6, -15, 18],\n [-15, -15, 10, 20, 19, 9, 0, 20, -3, 2],\n [17, 2, 7, 15, 4, -14, -3, -1, -16, -3],\n [19, 12, -6, 14, -20, 0, -13, -14, 20, 19],\n [19, 9, 17, 14, -19, -13, 17, -17, 16, 0],\n [-8, -12, 8, 20, 3, -5, -9, -19, -2, 9],\n [-5, 3, -8, -16, 2, 17, 10, -4, -18, 5],\n [-8, 17, 1, 0, 8, 18, -16, -7, -3, -17],\n [12, 18, -1, -8, 15, -17, 14, -13, 19, 15],\n [-15, 1, -15, 15, -12, -5, 18, 17, 12, -3]]\nB =\n[[-9, 6, -20, -6, 6, -5, 0, -20, 8],\n [-18, -9, 7, 18, 16, 10, 10, 12, 12],\n [19, -10, 8, 4, -8, -2, 15, 7, -17],\n [-18, 17, 16, 4, 20, 14, 8, 20, 8],\n [-9, 14, -1, -4, -9, 15, -11, -3, 9],\n [-13, 20, -8, 10, -15, -14, 0, 17, 7],\n [0, 0, 3, 6, 6, -8, 8, 18, 7],\n [16, 8, 1, 15, 9, 7, 2, 12, -17],\n [-18, 11, -17, -20, -9, -8, 13, 8, -12],\n [10, -14, -8, -19, 12, -14, -3, -13, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4759", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, -12, 7, -17, 18, -4, -10, -19, 2, 1],\n [5, -9, 11, -12, -16, 5, -14, 8, 12, 3],\n [4, 10, 8, -16, 17, -10, 11, -13, -1, 13],\n [-13, -19, 0, -6, -15, -16, -18, -5, 14, -12],\n [14, -2, 13, 18, -11, -11, -1, -20, -15, -19],\n [17, 12, -18, 15, -8, 14, -6, 1, -17, -4],\n [-16, 0, 3, 10, 19, 9, -14, -14, 6, 3],\n [-2, 20, 13, 1, 6, -15, -11, 10, 4, -19],\n [-11, -11, 5, -16, 1, -17, 13, -14, -4, -10]]\nB =\n[[-13, 7, 12, 4, 0, -9, 5, 8, 17],\n [14, 16, 8, 3, -6, -15, 11, 13, 15],\n [-1, -9, 14, 17, -4, 6, -4, -10, 18],\n [-19, -19, 8, 3, 3, -5, 10, -12, 6],\n [20, -7, 4, 1, 14, 12, 6, 19, 5],\n [-2, 18, 5, -15, -18, -15, 7, -18, -8],\n [-8, -8, -20, 19, 16, 10, -4, -12, -8],\n [16, -7, -10, 4, 10, -7, -14, 3, 15],\n [20, -18, 5, 5, -20, -6, -10, 16, -14],\n [-9, 17, -18, 5, 9, 11, 15, 16, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-609", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-20, 0, 7, -5, 7, 1, -2, -20, 10],\n [13, 19, -15, 7, -18, 10, -5, -4, 6],\n [3, -1, 11, 14, -8, -1, -19, -17, 6],\n [4, -17, 11, -4, -20, 12, 9, -16, -9],\n [17, 11, 17, -4, 19, 11, 3, -9, 10],\n [-2, 8, 0, 5, 7, -4, -12, 0, 13],\n [-10, -1, 18, -5, 8, -20, -3, 1, -13],\n [-14, 4, 9, 13, 20, -10, -6, 14, 2],\n [0, 7, -8, 13, 17, -15, -17, -16, 19],\n [-15, 0, 7, -18, 2, -13, -2, -10, -11]]\nB =\n[[7, -1, 7, 8, -13, -2, 0, -3, -12],\n [-17, 20, 4, 13, -12, -12, -3, -10, -8],\n [17, -12, -5, -17, 13, -14, -6, 17, -10],\n [11, 6, 9, -4, 15, -2, -14, 0, 7],\n [-18, -7, -19, 8, -3, 16, 3, -9, 11],\n [-3, -8, -17, 2, -11, -16, 19, -7, 13],\n [7, -13, -5, 10, -14, -18, 8, 15, 18],\n [-17, -12, -4, -1, -7, 8, -8, 15, -4],\n [-17, -1, -10, 1, -13, 7, 20, 9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1287", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, 15, 6, -1, 12, 4, -2, 0, 12, -18],\n [-7, -6, 12, 1, -20, 10, 14, -1, 11, -9],\n [-5, -13, -7, -3, 9, 12, 13, 13, -14, -15],\n [-15, 1, -13, 16, -6, 5, 18, -18, -11, -18],\n [9, 1, -18, -20, 12, -2, 15, 13, 10, 3],\n [-9, -8, -5, -5, -1, 20, 6, 18, -8, -17],\n [11, 19, 13, 18, -4, 3, 8, 7, 1, 7],\n [4, 20, -18, -8, 10, -8, 20, -3, 16, 13],\n [-4, 0, 15, 19, -2, -9, 7, -10, 16, 7],\n [14, -6, -5, -14, -18, 10, -9, -13, 4, 14]]\nB =\n[[-9, 0, 5, -19, -7, -17, -4, -16, 3, -14],\n [2, -4, -9, -10, -10, 13, 16, 8, 15, 6],\n [1, -19, 15, 9, -14, -9, -18, -4, 20, 11],\n [-13, 2, 17, 9, -6, -11, 17, -6, 9, 5],\n [-7, -18, 15, 5, -7, 10, -7, 19, -11, -12],\n [19, -3, 15, 15, -9, 19, -18, -3, -14, 10],\n [-20, 10, -8, 8, -18, 8, 14, -6, 0, -2],\n [7, -17, -8, -6, 18, 11, -18, 9, -1, -19],\n [4, -10, -20, -11, -4, 9, 14, -2, 13, 11],\n [-9, -4, -15, -8, 18, 1, -10, -14, 0, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2326", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -2, 8, 14, -1, 15, 18, -20, 2, 10],\n [14, 1, -14, 12, 15, -14, 6, -19, -4, -20],\n [9, 1, 7, 12, 5, 14, -10, -14, 7, 4],\n [20, 10, -18, 12, 13, 0, 16, -2, 16, 0],\n [-7, -11, -14, 8, 19, -13, 18, -8, -2, -10],\n [-19, -15, 8, 20, -16, 20, 9, 18, 15, 6],\n [-3, 15, -5, -16, -12, 13, 13, 15, 10, -1],\n [-4, -1, 7, 0, -2, -18, 9, -16, -15, -18],\n [3, -20, 15, -6, 20, 17, -3, 2, 8, 20],\n [1, 3, -8, 12, 1, 14, -4, 1, -16, 4]]\nB =\n[[-15, -4, 10, -4, 12, 18, 16, -17, -7, -8],\n [6, 3, 6, -13, 18, 0, 20, -10, 10, 6],\n [6, -13, 12, -9, 14, 13, -5, 15, -19, -9],\n [6, -4, -1, 0, 9, -1, -13, -3, -3, -3],\n [-19, -9, 11, -13, -11, -10, -7, 5, 9, -17],\n [18, -10, 3, 1, -18, 16, -19, -9, 0, -16],\n [-14, -17, 20, 15, 1, 8, -12, 5, -9, -20],\n [-13, 12, -17, -7, 8, -7, -12, -12, 5, -4],\n [20, -17, -18, 8, 4, 0, -9, -20, -20, -14],\n [-11, -6, 19, -10, 2, -8, 6, 20, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-9, 8, 0, -1, -1, 10, -13, 3, -10],\n [18, 12, -6, -17, -20, 11, -10, 9, 16],\n [-2, 15, 13, -14, -1, -9, 11, -19, 1],\n [20, 19, 3, 10, -17, 3, -4, 19, -2],\n [19, 17, 13, 12, -15, 15, -8, -12, 14],\n [13, -5, -3, -3, 17, 11, -14, 2, 2],\n [-3, -14, 19, 3, -7, -16, 1, 1, -11],\n [5, -6, 17, 20, -20, -7, 15, 10, 7],\n [13, 14, 18, 2, -2, -3, -6, -20, 4]]\nB =\n[[5, 14, -6, -17, -6, 17, 18, -20, 1, -10],\n [17, 16, 5, 6, -8, -14, -13, 2, 5, 6],\n [-12, 17, -8, -14, -10, -11, 12, 18, -18, 20],\n [8, 16, -5, -5, -14, -6, 17, -15, -3, -2],\n [-19, -18, 4, 15, 7, 17, 7, 11, 20, 15],\n [18, 15, 2, -19, -11, -15, -13, -6, 8, 7],\n [1, 13, -1, 12, -6, -14, 3, 5, -11, -6],\n [16, 3, -10, 19, 0, 19, 17, -6, -6, 16],\n [-7, 0, -1, 12, -18, 19, 2, 2, 6, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 11, 1, -13, 17, -3, 7, 7, -10],\n [-9, -19, 16, -17, 20, 13, 2, -8, -14],\n [11, 2, -13, 16, 13, 8, 16, 2, 17],\n [8, -16, 19, -10, -7, -19, 14, 14, 7],\n [-13, 11, -17, -14, 18, 6, 16, -4, -11],\n [-17, 2, -7, -16, -19, 3, -3, 6, 3],\n [8, -10, -3, -17, 12, -7, 11, -17, -1],\n [0, -18, 4, -17, -10, -5, 15, -15, 10],\n [19, -8, 2, -17, 16, 16, 12, 8, 16]]\nB =\n[[-2, -1, 11, -5, -16, -9, 0, -7, 16, 1],\n [9, 2, -16, 8, 9, -3, -20, 18, -4, -18],\n [-14, 6, 7, 10, -6, -13, -15, 7, -17, 9],\n [-4, 13, -15, 15, 14, 18, 18, -5, -19, -13],\n [-6, 6, -5, -20, -11, -14, -11, -9, -4, -9],\n [-6, 11, 11, 5, -7, 5, -16, 17, -17, 7],\n [-20, -8, -18, 4, -5, 0, -8, 15, -13, -2],\n [-5, -9, -1, -3, -9, 4, -10, 1, 13, -8],\n [17, -9, 18, 15, 7, 6, 18, -8, 19, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9927", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -19, -3, 5, 10, 17, 1, 15, -2, -7],\n [-7, 8, -4, 16, -12, -20, -17, -14, -10, -7],\n [-2, 19, -18, -13, 8, 16, -12, -2, -9, 6],\n [16, 4, 17, -4, 12, 18, -7, 7, -3, 12],\n [-6, -10, 15, -6, 9, -6, 2, -6, 8, -10],\n [-3, 19, 10, -12, 1, -10, -4, 12, -10, 18],\n [-13, -17, 15, -2, 3, 20, -3, 12, 15, -11],\n [-7, -14, -9, 1, 6, 16, -10, 15, -8, 11],\n [-13, -14, -4, 1, 13, -1, -13, 1, 6, 13],\n [0, -6, -16, 17, -4, -13, -2, -16, 2, -2]]\nB =\n[[-7, -11, 10, -8, 1, 16, 18, -11, 10, 14],\n [-8, 9, 13, 15, 14, -17, -17, -15, 7, 9],\n [6, -16, 18, 14, 18, -6, -2, 9, 17, 11],\n [19, 8, -15, 5, 6, 14, 7, -16, 20, -5],\n [20, -3, -8, 4, -11, 8, -11, -15, -5, 4],\n [-17, 16, 13, -2, 12, -17, 13, -9, 10, -5],\n [-19, -19, 15, -15, 2, 18, 16, -5, -2, 3],\n [6, -14, 9, 20, -7, -6, -9, 8, 2, -8],\n [-12, 3, 18, 9, -20, -11, 17, -6, -12, -8],\n [2, 12, -12, -18, 9, -12, 4, 3, 11, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 6) when matrix A is multiplied by matrix B?\nA =\n[[15, 4, -1, -4, 15, 5, -2, 16, -18],\n [7, 1, -2, -5, -15, 16, 10, 13, 10],\n [-10, 15, -15, 6, -14, 11, -13, 12, -6],\n [6, 9, 1, 8, 20, 9, -19, -6, 6],\n [-14, 6, 0, -8, -4, -10, -11, 12, -7],\n [16, -13, 12, -14, 13, -14, -14, 20, 15],\n [-14, -1, -3, 20, -7, 19, -7, 0, 6],\n [5, 6, 3, -16, 17, 7, 11, 3, -15],\n [-11, -18, -14, 8, 13, -14, -4, -8, 0],\n [10, -12, -8, -4, -13, -12, -12, 19, 9]]\nB =\n[[-14, -4, 18, 17, -16, -4, 19, -20, -5, -4],\n [9, 10, 14, -13, 9, 18, 0, -6, 13, 6],\n [-19, -11, -16, 6, -17, -8, -4, 0, 2, 12],\n [-6, -7, -12, 16, 9, 8, 2, 13, -14, -12],\n [-17, -19, 6, 12, 11, 16, 6, 7, -18, 15],\n [-13, 20, 16, 17, 1, -7, -6, -17, -3, -20],\n [-9, 20, -4, -2, 15, -14, -12, -13, 4, -14],\n [-13, 3, -4, -9, 10, -9, -19, -9, 6, -14],\n [-8, 15, -20, 14, 9, 10, -4, -13, -18, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[13, 1, -17, 11, 8, -10, -8, -17, -19],\n [13, 1, -16, -12, -1, 0, -4, -9, 7],\n [-3, -18, -16, -7, 5, -2, 20, -4, 18],\n [-17, 14, 3, 20, -8, 12, -6, -6, 10],\n [7, -11, -14, 12, -14, -16, 5, -5, -13],\n [1, 13, 19, 7, 15, -14, 19, 7, -19],\n [-12, -15, -20, -18, -11, 16, 2, 12, -12],\n [-8, 7, -14, 5, -5, 19, 5, 18, 11],\n [15, -20, 0, -8, 5, -12, 16, 2, -20]]\nB =\n[[-19, 7, 15, 10, 20, -16, 16, 4, -13, 13],\n [18, 11, -10, 4, -18, 11, 14, 11, 13, 16],\n [-16, 7, 7, -13, 6, -5, -3, 4, -20, -13],\n [0, 13, 3, 16, 5, -7, 8, 9, -18, -14],\n [15, -10, 11, -9, -6, 17, 3, -20, -3, -14],\n [20, -19, 19, 10, 12, 9, 10, 13, -14, 4],\n [-5, 1, 15, 6, -4, -17, 14, 20, 1, 14],\n [-6, 19, 0, -8, -10, 6, 10, 11, 9, -3],\n [-5, 14, -12, 18, 16, -11, -9, -13, -18, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26048", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -13, 5, 2, -11, -3, -9, 18, 5, -10],\n [-11, -18, -14, -17, 19, -13, 17, -8, -9, 14],\n [17, 15, -19, -6, 13, 18, 5, -16, 4, 13],\n [-17, 13, 6, 8, -16, -3, -17, -20, -1, -15],\n [-1, -1, 6, 5, 11, -11, -3, 20, -9, -11],\n [3, 3, 17, 4, -13, -7, 10, 3, -5, -1],\n [17, -6, -7, -9, 13, -13, -2, -16, 6, 20],\n [-8, 11, 10, 20, 16, -19, -14, -10, -10, 2],\n [10, -13, 11, 0, 10, -20, -8, -10, 8, -17],\n [15, -6, -18, 8, 0, -19, -15, 10, 3, 19]]\nB =\n[[-4, -16, -19, -9, -16, 20, -1, -13, -20],\n [-15, -10, -18, 10, 7, -16, 5, -5, 10],\n [7, -14, 17, -12, 18, 14, 6, -9, 4],\n [8, 10, 13, 12, 6, -19, -7, -8, 3],\n [-16, 13, 2, -2, 9, -5, 19, 13, -10],\n [-7, -6, 14, -14, 8, 1, 2, 3, 14],\n [-11, -13, -9, 8, 8, 2, 5, 16, 11],\n [17, -15, -13, -4, -9, 1, -7, 13, -2],\n [-15, -3, 15, 16, 17, -6, 17, 19, -12],\n [-15, -19, -5, -20, 9, 12, -20, 18, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31662", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 17, -3, 1, 1, 14, 10, 19, 6, 15],\n [-17, -16, 4, 10, -7, 9, -9, 6, 3, 9],\n [-3, -7, -2, 1, 5, -14, 7, 17, -16, 15],\n [-3, -7, 2, -7, 11, -16, 1, 7, -9, -3],\n [15, 10, -8, -1, 15, -14, 2, 13, 11, 0],\n [-15, -5, 14, -1, 20, -10, 11, -7, 3, 18],\n [10, -4, 4, -12, 1, 14, 16, -4, 7, -20],\n [-12, -8, 11, 7, 10, -13, -13, 13, 2, -11],\n [16, 4, 12, -17, -14, 12, -19, 11, -16, -4],\n [-9, -9, 14, 0, 0, -19, 0, -6, -10, -11]]\nB =\n[[-3, 2, 10, 5, -19, 18, -14, 3, 18, 11],\n [5, 2, -7, 8, 4, 10, -19, -19, 2, -10],\n [8, 14, -12, 11, 9, -6, -7, -4, 1, 9],\n [-4, -5, -13, 18, 10, -9, 12, -9, 4, 17],\n [-3, -2, -18, 14, -16, 14, 6, 16, 0, -5],\n [7, 4, 12, -4, 9, 20, -17, -19, -12, 10],\n [4, 16, 15, -16, 3, 3, 8, 10, 16, -2],\n [2, 14, -15, -15, 16, 9, -20, -13, 7, 4],\n [12, 17, -7, -10, -19, 9, 9, -17, -8, -14],\n [17, -18, -12, -7, -10, 16, -7, -2, -13, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, -18, -18, -3, 12, 16, 7, 15, -5, -6],\n [8, -3, -2, 8, -15, 6, -14, 6, -2, -4],\n [20, -10, -16, -19, -9, -10, -11, 7, -14, -7],\n [-8, -16, -13, -20, -16, -10, -11, -6, 18, 8],\n [4, -15, -10, -4, -6, -5, -19, 15, -2, 17],\n [0, -10, 20, -18, 13, -3, -6, 4, -6, 9],\n [-4, -3, 10, -3, 14, -8, -7, 15, -3, -16],\n [-7, 4, 18, -9, 19, 7, 14, -20, -18, -14],\n [-12, 15, 2, 3, -11, -9, -2, 11, 3, 1]]\nB =\n[[-18, 19, 6, -2, -12, -8, -19, 15, 8, -10],\n [13, -17, -17, -20, 4, 5, -10, 2, -19, -2],\n [8, 19, -17, -5, 16, 6, -16, -6, 2, -18],\n [-3, 5, -15, -4, 17, 6, -1, -15, 14, -9],\n [-18, -17, -17, -17, 18, 0, -19, -5, -14, -2],\n [12, -12, 16, -4, 6, 12, -9, -10, -8, 10],\n [-8, 17, 5, 10, 1, -15, -1, 0, -11, -2],\n [14, 5, -14, 16, -13, -16, 15, 7, -18, 18],\n [-13, -6, 6, 15, -5, 5, -17, -9, -4, 20],\n [5, 10, -6, 13, 8, -12, -7, 15, -17, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4588", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[16, 3, -4, -8, -1, -4, 6, 12, 0, -4],\n [1, 4, -18, 6, 6, -9, -6, 17, -1, 1],\n [-19, -17, -8, 11, 1, 4, 6, -4, -15, -5],\n [-13, 12, -11, 13, -2, -7, -18, 20, 2, 19],\n [-10, -15, 13, -20, 14, 4, 8, 2, -3, -7],\n [-4, -19, 10, -2, 11, 7, 20, -13, 20, 19],\n [18, 1, 3, 17, -19, 20, 20, -2, 20, -19],\n [7, 11, -2, -5, 9, 1, -7, -20, -19, 1],\n [12, -6, 20, 1, 19, 18, 20, 20, -10, -17],\n [-14, 0, -14, -17, -9, 6, -4, -1, 10, 5]]\nB =\n[[10, 14, -12, -16, -13, 0, -5, -5, -3, 7],\n [-3, -7, 16, 19, -5, 0, -20, -10, -10, -19],\n [11, -2, -16, -18, 7, 5, 2, 9, -13, 15],\n [8, -8, 4, 1, 12, 16, -14, 2, -15, -6],\n [-6, 19, 13, -7, 8, -5, 8, 2, -11, -17],\n [-9, 13, -17, -1, 7, 7, -15, -7, 14, -20],\n [-2, -20, -8, -13, -3, 14, 2, 5, 20, 17],\n [-1, -19, 5, 15, 4, 9, -3, -14, 6, -10],\n [16, -13, -10, 3, 9, 9, -6, 14, 18, 3],\n [-13, -1, 20, 5, 3, 1, -16, -6, 15, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -6, 6, -13, 8, -2, 10, -12, -11],\n [16, -11, 12, 4, -17, -16, 2, 18, -16],\n [-13, -4, -20, -9, 14, -7, -3, -11, -6],\n [12, -2, 13, 4, -5, -13, 14, 0, -2],\n [-10, -10, -10, 1, 0, 6, -3, 19, 17],\n [9, 12, 0, -19, -8, -19, 10, -11, 2],\n [1, 8, 12, 10, -7, -11, -3, -10, 18],\n [-18, -19, -13, 10, -13, -19, 1, -16, -14],\n [-1, 7, -8, -19, 11, 5, -18, 20, -8],\n [0, 16, 2, -14, -4, 7, 9, -16, 3]]\nB =\n[[-14, 13, 12, 6, -7, -2, 17, -9, -18, -14],\n [14, 4, -6, -2, -2, 2, -10, 0, 13, 18],\n [-14, 6, 2, 17, -1, 6, -13, 16, -18, -19],\n [1, -15, 18, 19, 15, 3, -9, -4, 1, -2],\n [-12, -9, 11, 10, -4, 2, -11, 9, -2, 5],\n [5, -10, -1, -17, -9, 4, -11, 1, -14, 3],\n [-19, 11, 0, -14, -13, 17, 0, -13, 4, 7],\n [7, 10, 15, 4, 20, 16, 17, -9, 16, 16],\n [10, -3, 5, -15, -12, -10, 10, -19, 8, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29800", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 15, -14, -8, -11, 15, -5, -6, -2],\n [0, 14, -6, -7, 8, -16, -3, -20, 6],\n [6, 4, 20, 0, -7, -1, 7, 0, 2],\n [-10, -19, -1, 3, 4, 16, 1, 3, -6],\n [-9, 10, 10, 9, 20, -1, -13, 9, 14],\n [0, 19, 7, 18, -4, -9, -3, 7, -18],\n [-6, -5, 1, 10, 10, -20, -10, -15, 2],\n [-12, -5, 17, -2, -8, 11, 15, -12, 16],\n [10, 10, -2, -19, 11, 13, -20, 0, -18]]\nB =\n[[6, -14, 12, -12, 9, -3, 5, -1, 17],\n [20, 10, -13, 2, 4, -20, -3, -2, -15],\n [-4, -13, -12, 16, 6, 15, -15, -15, -17],\n [1, 19, 6, 16, -19, -12, -10, -1, 18],\n [-7, 5, 17, 9, 15, 17, 14, -15, -18],\n [-20, -3, 2, 11, 8, 2, 15, -15, -4],\n [-3, 10, -15, 13, 6, 15, 4, -11, 18],\n [18, -9, -10, -18, 1, -17, -13, -7, -1],\n [3, -7, 7, -5, 11, -9, -5, -2, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1296", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 8, -16, -4, -13, 19, 19, 9, -11, -1],\n [-5, 20, -5, -18, 2, 1, 7, 15, -17, 17],\n [3, -2, -10, 19, 19, 18, -3, -9, -7, -3],\n [-9, 19, 6, -15, 3, 12, -5, -9, 10, 16],\n [-8, -13, 17, -18, -1, -17, -19, 15, 2, -2],\n [19, -13, -5, -3, 15, 3, -20, -20, 15, -10],\n [-3, -5, -4, 3, 13, -17, 14, -6, -19, 10],\n [-12, -11, 4, -16, -7, 17, 19, -19, -3, 8],\n [-1, -13, 16, 5, 16, -17, 12, 1, -15, 12]]\nB =\n[[7, 3, -17, -19, -8, -10, 14, 18, -11],\n [-11, -13, -16, 2, 13, 11, -5, -17, 7],\n [-7, -9, 0, -5, -19, 2, 8, -12, -14],\n [8, -4, -12, -15, -1, -11, -12, -9, 12],\n [11, 13, -2, 12, -5, 2, 5, 20, 16],\n [-12, 9, -8, -5, -19, 10, -2, -10, -7],\n [4, -14, -6, 9, 10, 3, 4, -13, 9],\n [15, -7, 8, 6, 15, 13, 0, 17, -10],\n [12, -6, -9, 3, 16, -10, -2, -20, -4],\n [19, -5, 5, -6, -13, 9, -7, 12, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2208", "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, -9, -19, 8, 0, -14, 6, -9, -1],\n [-7, -11, 20, 2, 9, 10, -11, -2, -2],\n [2, 20, 11, -1, -17, 12, -20, -8, -18],\n [-9, 8, 10, 20, 15, -19, 1, 1, 20],\n [10, -7, 8, 14, -12, 11, 6, -11, 4],\n [12, -10, 16, -12, -14, -14, 13, -2, -1],\n [4, -16, 8, 6, 4, 16, -6, -17, -7],\n [-4, 0, -5, 5, -12, -19, -6, 14, 3],\n [17, -7, 16, 16, -15, -3, 1, -3, -19],\n [11, -4, -20, -12, -8, 15, 16, 9, 10]]\nB =\n[[2, 7, -11, 4, 15, 5, 5, -8, -4],\n [19, -17, 2, 14, -10, -9, -12, -6, 16],\n [-16, -2, -10, -12, 14, 6, -8, -9, -12],\n [7, -8, -1, -8, 6, 5, 8, 8, 1],\n [-12, 3, -2, 17, 10, 18, -6, 11, 8],\n [13, -12, 14, -15, 16, -7, -12, -2, 2],\n [20, 7, -5, 5, 17, 19, 4, 14, -16],\n [-14, 2, 4, -20, 1, -17, 7, -7, 12],\n [-17, -10, 18, 11, -17, -20, 5, 12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28727", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -16, -14, 4, -13, 13, 20, -17, -9, 10],\n [-10, 16, 15, 1, -20, -17, 15, -13, 4, 7],\n [17, 15, 15, 20, -17, -8, 17, 4, -18, 11],\n [18, -20, -10, -19, -16, 1, -8, 2, 10, 14],\n [17, 20, 14, -8, -14, -16, 8, -13, -13, -14],\n [-2, 18, 2, 15, 11, -17, 9, 18, -16, -18],\n [1, 7, 1, 1, 13, 8, -8, -14, -11, 7],\n [-17, 11, 1, -1, -1, -15, -12, 7, -8, 10],\n [18, -7, 1, 16, 3, -13, -6, 20, -15, 2],\n [4, 10, 8, 2, -11, -12, -8, 11, 20, -20]]\nB =\n[[-20, 16, 19, -3, 15, 10, -20, 15, -12, 1],\n [7, 5, -11, -18, -19, 16, 10, 12, 11, -9],\n [-18, 5, -7, -9, 5, -5, -13, 7, -14, -6],\n [20, 15, -13, -11, -6, -3, 16, 20, 14, -19],\n [1, -6, 16, 18, 15, -16, -6, 6, -5, 15],\n [17, -3, 14, 4, 1, 10, 16, 13, 2, -5],\n [-15, -6, -3, 17, -8, 3, -8, -20, 15, -3],\n [12, 17, -15, -4, -17, -7, 9, -1, -13, -19],\n [16, -17, -11, -1, 14, -11, 7, -6, 15, -20],\n [1, 6, 8, -6, -11, -1, 1, -12, 11, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38447", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, 19, 6, 16, 13, -11, 9, 0, 0],\n [13, -12, 13, -9, 0, -1, -15, 15, -9],\n [20, 10, -19, -5, -20, -17, -20, 14, -8],\n [10, -1, -14, 19, 12, 7, -1, 11, -12],\n [13, -7, -17, 8, -6, -4, -2, 17, -12],\n [6, -6, 16, 7, -17, 0, 13, -2, 16],\n [-17, 16, 11, -9, 20, -5, -7, -20, 11],\n [0, -17, -12, 1, -9, 9, 9, 11, 15],\n [-14, -4, -20, -7, 17, 5, 6, -5, -14],\n [11, 4, 10, -5, 20, -7, 4, 9, -14]]\nB =\n[[-9, -18, 6, -2, 16, -14, -5, 11, -13, -8],\n [-10, -1, -3, 16, -15, -1, 11, 8, -17, -14],\n [-1, 13, 15, -14, 12, -6, 11, 1, 19, 8],\n [4, -16, -7, 14, -19, 4, -5, -5, -10, 14],\n [2, -16, 14, 8, -16, -18, -15, 2, -19, -3],\n [9, 17, -16, -10, -20, -11, 20, 5, 12, 6],\n [-9, -19, -20, -20, 12, 1, -9, 18, 15, 0],\n [-1, 15, 5, 10, -20, 17, -7, 5, -14, -9],\n [3, -2, -12, 14, -17, 11, -15, 7, 7, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "851", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 5) of the result:\nA =\n[[8, -16, -16, 16, 20, 7, 20, -12, 8, -7],\n [17, 19, 13, 16, -7, -3, 12, 13, 7, 15],\n [16, 2, -4, -10, 11, 16, -6, -17, 18, 9],\n [-11, 2, 3, 15, -16, 16, -2, 16, -13, -14],\n [19, -8, 16, 6, -3, 3, 20, -19, -5, -7],\n [-4, -15, 14, -4, 17, 19, -15, 17, 0, 14],\n [2, -9, 8, 6, -15, 0, -14, 20, -5, -16],\n [-6, 0, -17, -16, -14, 14, 15, -6, 7, -19],\n [-16, -14, 1, 10, 11, -13, 20, -10, -20, 19]]\nB =\n[[-2, 17, 16, -14, 18, 4, 1, 6, 20, 17],\n [18, -6, -19, -13, -15, -1, 6, 2, 19, -4],\n [-8, -17, -1, 4, 1, -4, 19, -10, 4, -16],\n [0, 5, -5, 19, 0, 11, -17, 17, -13, -12],\n [-4, 20, -8, -12, -15, 6, 16, 18, 3, -12],\n [-10, 14, 8, -13, -4, -14, -9, -6, 8, 3],\n [16, -7, -10, 14, -4, 6, -18, -19, -17, -3],\n [-1, 0, -7, -13, -19, 5, -2, 7, 8, -16],\n [7, 20, 5, -16, -6, -12, 11, 5, 16, -6],\n [20, -17, 15, -1, 6, 0, 1, -14, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-14, -2, 7, -11, 6, -8, -19, 1, -1, -16],\n [-15, 14, -20, 14, -18, 15, -14, 8, -6, -10],\n [-3, -17, 3, -10, -15, -3, -6, -18, -4, 12],\n [13, 9, -2, -12, 19, 10, 6, 4, -14, -14],\n [-1, 15, -2, -19, 13, -4, 3, -12, -20, 7],\n [-6, 0, -6, 2, -19, 15, -12, -19, -19, -3],\n [-4, 20, -13, 13, 13, -16, 8, 7, -5, -7],\n [-19, 19, -17, 20, 10, 5, 6, 13, 10, -10],\n [-13, -9, 14, 13, -8, 6, -13, 0, 20, -10],\n [1, 0, 7, -18, -14, -7, -6, -12, -14, -9]]\nB =\n[[-2, 6, -3, -8, -20, 17, 0, 13, -8, 20],\n [2, -20, 2, 7, 11, -13, 5, -7, 3, 8],\n [-17, -3, -7, 6, 20, -18, 9, 15, 2, -3],\n [19, -11, -9, 20, -13, 11, -4, 20, -7, 16],\n [-12, 5, 3, 2, 10, 18, -19, -3, -5, 8],\n [-10, -19, -7, -17, 18, 13, 18, -12, 19, 20],\n [-14, -4, 2, -10, 1, -3, 7, -5, -17, 15],\n [1, -10, 0, 19, 20, -5, -12, 14, 13, -12],\n [-8, -15, -17, 7, -10, 13, 14, -16, 18, -10],\n [-9, -2, -8, -17, -7, -19, -13, 1, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1205", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 7, 12, 8, 16, 1, 5, -10, -10, 13],\n [-2, 16, -7, 8, -2, 16, 0, 3, 5, 20],\n [-9, -2, 9, -6, -18, -8, -12, -8, -5, -7],\n [-13, -2, 11, 14, 2, 0, -3, -7, -5, 3],\n [11, -10, -10, -17, 5, -16, 15, 12, -7, 11],\n [-14, -11, -19, -11, 14, 0, 19, -13, -3, -12],\n [20, 9, -17, 14, -7, -7, 16, -1, 8, 2],\n [0, 10, 11, 20, -14, -8, 2, -13, -9, 15],\n [-5, 5, 8, 8, -15, 16, 12, 10, 20, -3],\n [17, 10, -5, 19, 16, -7, 18, -17, 9, 12]]\nB =\n[[15, 9, -7, 2, 7, -14, -11, -17, 17, -8],\n [0, 12, 19, 7, 2, 11, -16, 5, 18, 5],\n [-18, 3, 13, 13, -1, 9, -1, 20, -3, 17],\n [-1, -15, 4, 20, 20, -18, -2, -11, -16, 1],\n [-12, 12, -6, 3, 9, 15, 18, -15, -6, 17],\n [18, 1, -18, 8, 8, 10, -19, 14, -12, 1],\n [-2, 16, -11, 0, -4, -18, -14, 20, 16, 15],\n [-18, -8, 20, 9, 2, -14, 9, 8, -13, -11],\n [12, -1, 8, 8, 0, -20, 13, 11, -7, 16],\n [14, 3, -20, -15, -17, 17, -20, 20, 10, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33733", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-12, 20, 2, 10, 8, 0, -18, 5, -15],\n [-1, -8, 20, 2, -6, 10, -17, -10, -19],\n [-5, 10, 18, -17, 7, -5, 18, 4, -8],\n [-16, 9, -20, -16, -7, -10, 13, 8, -3],\n [-6, 4, 9, -19, 19, 6, -6, 11, -1],\n [-7, 6, -18, -18, -8, 4, -3, -20, 18],\n [-16, -19, 9, -4, 8, -17, -12, 0, -9],\n [-9, -17, 7, -12, 19, 11, -8, 13, -2],\n [-7, -16, 6, 7, 5, -11, 3, -4, -5],\n [-4, -20, 0, 1, -16, 15, 0, -12, 6]]\nB =\n[[-9, -3, 14, -6, 9, 12, 15, 19, 9],\n [5, 0, 16, 10, -4, -4, 13, 3, 12],\n [-17, -12, -19, 14, 17, -6, -18, 10, 20],\n [2, -9, -13, 0, 0, 11, -4, 16, 3],\n [-13, -3, -10, -11, 5, -15, -4, 2, 16],\n [7, -5, -9, 0, 3, 7, 16, 0, 12],\n [-19, 16, -2, 7, -6, -20, 7, 14, 11],\n [7, -12, 3, -17, 20, -18, 1, 19, 18],\n [4, 1, 13, -1, 15, 16, 18, 6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33885", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 20, 11, 3, -18, 6, -12, 19, 2],\n [-14, -4, 16, -14, 9, -8, -3, 10, 1],\n [-7, -3, 14, -4, -2, 10, 18, 15, -6],\n [8, 19, -5, 12, 4, -5, 9, 13, -19],\n [19, 17, -3, -16, 19, -15, -9, -9, -9],\n [-12, 1, -5, -17, -18, -5, -7, 20, 17],\n [-17, -19, -11, -10, 18, 5, 16, 5, -17],\n [5, 17, 7, -19, -19, -5, 2, 2, -8],\n [0, 18, 4, 16, -8, -6, 7, -18, 2],\n [-17, -18, 18, -13, 4, 20, -9, -16, 12]]\nB =\n[[4, 4, 14, -6, 5, -11, 3, 14, 8, 17],\n [-16, 3, -2, -12, 5, 4, 14, 15, -7, -15],\n [11, 5, -6, 10, 16, 17, 16, -2, -7, 15],\n [16, -10, 6, -19, 1, -19, -1, -4, -17, -7],\n [-14, -6, 9, -5, 19, -19, -2, -20, 10, -17],\n [6, 4, 1, -11, 12, 9, 9, -5, -12, -4],\n [14, -6, 7, -1, 12, 12, 15, -8, -17, 2],\n [-13, -8, 3, 19, 9, 9, 4, 12, -12, 5],\n [3, 12, 18, 4, -6, 20, 20, -15, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35266", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -6, 18, -17, 3, -18, -20, 9, -8],\n [-3, 19, -10, 8, -17, 4, 15, 15, 19],\n [7, -13, 0, 14, -3, 4, 20, -16, -13],\n [2, -18, 16, 10, 8, 20, -1, -18, 2],\n [19, 0, -8, -13, -16, 4, 18, 16, 20],\n [-16, -13, -17, 20, 1, -7, -2, -8, 14],\n [-17, 12, 1, -20, -10, -5, -17, 8, 18],\n [17, 3, -12, -13, -7, -6, 1, 16, -6],\n [-15, -20, -1, 20, 15, -19, -15, -19, -18],\n [-14, -1, 20, 20, -16, 4, 17, -3, -20]]\nB =\n[[4, -4, -6, -16, -4, 0, 2, -11, -4, -20],\n [16, -14, -9, 19, -20, -1, 10, -17, 5, -9],\n [1, -20, -20, -18, -9, 0, -8, -8, 20, -3],\n [12, -15, 4, 2, 3, 16, 5, -17, 17, 14],\n [-10, 15, 4, -1, -20, 9, -17, 2, 14, 1],\n [10, -20, -17, -2, 9, -20, -2, 0, 1, -19],\n [-15, 0, 12, -2, 6, 16, 8, 7, 13, -20],\n [4, 0, 13, 5, 15, 14, 2, -4, -9, -1],\n [18, 6, 16, -1, -10, 7, -19, 3, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4368", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 15, -19, 4, 8, 7, -11, 2, 11],\n [10, -2, -6, 12, -4, 15, -1, -12, 17],\n [-18, -19, -3, 2, -2, -14, 14, -1, -1],\n [-2, 20, -5, 17, 0, 8, 17, 3, 16],\n [8, 10, 18, -9, 9, -17, 9, -16, -5],\n [6, -17, -13, -13, -4, -18, 6, 13, 0],\n [3, 20, 8, 18, -15, -7, -7, 16, 3],\n [-8, -20, -9, 3, 16, -1, -15, -9, 0],\n [-18, 6, 15, -4, -6, 18, -17, -4, 17],\n [-10, -9, 11, 6, 6, 19, 8, -12, -18]]\nB =\n[[18, 8, 0, 14, -11, 2, 18, 4, 3, -1],\n [-6, 0, -9, -3, 2, 20, 8, 20, 15, -16],\n [18, 5, 18, -10, -10, -3, -9, -5, 6, 15],\n [-4, 0, 16, 10, 14, 6, 2, 11, -4, -10],\n [-20, 7, -3, 20, -1, -14, 16, -5, 18, 2],\n [11, -4, -2, 13, -7, -18, 18, 4, -10, -6],\n [-2, -6, -6, 17, -6, -12, -16, -2, 3, 8],\n [-16, 1, -8, 8, -5, 15, -4, -1, -7, -15],\n [1, 19, -12, 11, 3, 12, -8, 14, -15, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 17, -5, -20, -3, 1, 5, -7, 16],\n [-7, 5, 15, 2, -19, 18, -14, 18, 1],\n [7, 17, -1, -3, 3, 12, 5, -2, -8],\n [-11, -7, -12, -10, -18, 19, -9, 14, 18],\n [18, 11, 18, -7, -20, 6, 16, -20, 8],\n [3, -4, 14, 10, 11, -2, 10, 18, -1],\n [7, -18, 11, 1, -6, 17, -2, 10, 5],\n [-16, -1, -19, 0, 15, 7, -1, 16, 18],\n [15, -10, -18, 16, -1, 11, 4, 0, -5]]\nB =\n[[-20, 2, 3, 4, -14, 17, 18, 14, -7, -12],\n [-18, 17, -1, 20, 12, 20, 11, 15, 5, -16],\n [9, -4, -15, -6, -20, -8, 13, 9, -2, -19],\n [-9, 19, 3, -10, -19, -20, 7, -17, 20, 9],\n [-14, 1, 5, 8, 4, -11, -1, -7, 12, -16],\n [-15, 1, -4, -6, 18, 19, 7, -19, -3, 6],\n [0, 2, -14, -2, -12, -9, 9, -14, -19, -4],\n [-10, -9, -18, 0, -7, -6, 20, -11, 15, -11],\n [-4, 4, 6, 12, -10, -8, -20, 10, 12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-606", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 18, 2, -11, 12, 1, 20, -15, 15, -11],\n [-5, -8, -1, -17, -1, 1, 8, -5, 2, 9],\n [9, -18, 3, 16, -8, 11, 16, -9, -13, 3],\n [-5, 11, 13, 14, 11, -4, -19, 5, -4, 17],\n [-19, -13, -15, -12, -20, -16, 18, -12, -7, 6],\n [-12, 15, 8, -1, -6, 15, -18, 2, -12, 9],\n [-2, 17, -18, -18, 13, -19, 6, 2, 11, 14],\n [19, -3, 6, -10, 18, -2, 4, -14, 10, -19],\n [17, -16, -7, -3, 15, -17, 3, -8, 0, 12],\n [-1, -16, 3, 14, 9, 7, -14, 14, 9, 13]]\nB =\n[[18, -12, -9, 8, -11, 6, -2, -8, 16, 11],\n [-6, 0, -18, -13, -15, 8, -2, -4, -11, 12],\n [-8, 6, -9, -19, -11, 0, 2, -20, 12, 5],\n [-6, 1, 4, -20, 5, 0, 20, 3, 18, -5],\n [11, -5, -8, 11, 20, 3, -8, -10, -6, -11],\n [20, -18, -5, -4, 4, 9, 14, 16, -8, 3],\n [17, 5, -12, -2, 7, -14, 1, 9, 16, -5],\n [15, -16, 8, 2, -15, 15, 12, 20, -5, 13],\n [5, 16, -8, -4, 11, 11, 7, 8, 4, 1],\n [6, 17, -1, 3, -13, -7, 18, -7, -16, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33540", "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, 15, 12, -4, -1, -20, -5, -3, -11, 2],\n [-3, -12, 9, -8, 10, -8, 11, -4, -18, -20],\n [-16, 11, 4, -16, 16, 2, -9, 13, 2, -5],\n [-16, 7, -15, -8, 9, 5, -4, -12, -5, -3],\n [-8, 8, 3, -8, 4, 20, -20, -12, -17, 7],\n [-9, 3, -12, 14, 17, 14, 12, 14, -1, -19],\n [5, -8, 9, 11, 15, -2, 1, -20, -10, 5],\n [-2, -2, -9, -18, -3, -16, 3, -7, 17, -18],\n [-15, -9, -10, 18, 5, -20, -5, -12, -16, -13],\n [0, 12, 18, -1, 1, -8, 18, -10, -3, 9]]\nB =\n[[12, -18, -20, 15, -15, 16, 8, -10, -8, -10],\n [17, 4, -6, -8, 12, -8, 17, 3, -1, -4],\n [3, 5, 19, 11, 8, -7, 16, 1, 13, 6],\n [7, 1, -18, 1, 0, -5, -12, -8, -11, 0],\n [19, -14, 1, -3, 0, -7, -11, 12, -12, -3],\n [-8, -4, 2, 4, -5, 3, 10, -10, 2, 20],\n [18, 1, 12, 20, -3, -7, 7, -10, 3, 15],\n [-2, -8, 12, -2, 11, -6, -10, 2, -16, 1],\n [-3, -14, 12, -18, 7, -20, 16, 1, -2, -7],\n [-18, -2, 12, 0, -20, 5, -11, 14, -8, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27484", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, 14, -5, 20, -13, -18, -16, 0, 10],\n [-7, 16, -2, 16, -1, -19, -14, 12, -15],\n [-14, -3, 8, -2, 4, -17, -8, 11, 6],\n [13, 7, -12, -13, 0, 9, 8, -12, -8],\n [-3, 17, 1, 10, 14, -11, -12, 10, 19],\n [3, 20, -13, -1, -4, 7, -15, 12, 7],\n [-20, 20, 14, 3, -15, -14, -12, 16, -5],\n [13, 14, 14, -1, 2, 14, 2, -17, -11],\n [-10, 19, -12, 19, -9, -4, 11, 2, -6]]\nB =\n[[7, 17, -16, 19, -3, 0, -6, -18, 5, -6],\n [-1, 0, 5, 20, 2, 4, -17, -11, 1, -18],\n [-2, 10, -12, 8, 16, -14, 17, 3, -13, 13],\n [5, 7, 7, -14, -18, 1, 17, -3, -9, 10],\n [18, -16, 20, 8, 15, -7, -3, -14, 2, 12],\n [-5, 16, 4, -12, 7, -12, -9, -3, 6, 5],\n [5, -11, -4, 11, 3, -13, 9, 5, 3, 6],\n [-6, 7, -10, 18, -19, -12, 2, 12, -2, -8],\n [-7, 11, 1, -1, 12, -16, -1, -7, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3865", "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, 5, -3, 2, 3, -17, 20],\n [-18, 9, -5, -14, 18, 1, 20, 10, -8],\n [20, 20, 8, 7, -2, 2, -13, 4, 17],\n [17, 14, 5, -18, -19, -16, -1, -9, 17],\n [-5, 16, 17, 15, 8, 14, 16, 0, 0],\n [7, -15, -1, 15, -8, 19, -10, 3, -2],\n [2, 10, 16, 16, -18, 13, 8, -18, -6],\n [-14, -18, -5, 13, -1, 18, 12, -7, 14],\n [-10, -1, 9, 7, -6, 17, -8, 14, 3],\n [-20, 3, 6, -3, 5, 8, -13, 5, -16]]\nB =\n[[12, 19, -16, 15, -8, -4, -8, 4, -19],\n [3, 15, 4, 13, -9, -2, 9, 16, -20],\n [-18, 5, -6, 7, -17, -2, 3, 19, -15],\n [-5, 11, 9, 14, -13, -16, 16, -9, 4],\n [12, 18, 3, -10, 14, 19, -20, -13, 2],\n [-1, 11, -10, -14, 9, 18, -8, -18, -14],\n [-8, 16, 4, 2, 12, -16, 11, 9, 10],\n [-8, -16, 2, -20, -11, 6, -13, -18, -2],\n [-19, 10, -11, -5, 16, -1, -18, 14, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34607", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[0, 15, 11, -3, 13, 17, -18, -18, 6],\n [-19, -18, -4, 18, 17, 19, -2, -2, -16],\n [-16, -7, 6, 15, 19, 14, 0, -16, 3],\n [18, 3, 19, -8, 17, -20, 18, -11, -19],\n [-5, 16, -5, 2, 5, -5, 6, 20, 9],\n [12, 11, -12, -10, 16, -15, 9, 19, -6],\n [9, -3, -9, -17, -5, 2, -10, 3, 1],\n [18, -6, -6, -11, 7, 15, -4, 15, 1],\n [2, 8, 1, -10, 15, 8, 11, -7, -3],\n [17, 16, 13, 2, 11, -18, 1, 2, -17]]\nB =\n[[-8, 11, 8, 19, 19, -11, -8, -4, 17],\n [-19, -4, 5, 17, 16, -16, 4, -12, 7],\n [1, 8, 14, -1, -16, 18, 11, 18, -11],\n [19, -4, 16, -6, -12, 11, 2, -10, -8],\n [-3, -12, -16, 1, 11, -19, 0, 7, 3],\n [3, -7, 16, 6, 3, -15, 5, -6, 8],\n [15, -11, 7, -12, 0, -11, -17, -17, -15],\n [5, 19, -5, -13, 7, -5, 17, -20, -2],\n [-4, 7, -9, -15, -14, -13, -18, 0, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 9, 11, -10, -1, -5, 4, -12, 18, 19],\n [19, -18, -5, -9, -6, -17, 2, 6, 18, 16],\n [-8, 16, 19, 0, 8, 8, -10, 7, -11, -16],\n [4, 12, -4, 12, 4, 12, -12, 6, 4, -17],\n [-12, -6, -5, -5, -8, -7, 1, 0, -12, 20],\n [-17, -11, 14, -12, -5, -3, -11, 0, -6, -6],\n [-10, 19, 20, 16, -1, 13, 1, -3, -5, -16],\n [-20, -2, -11, 0, -8, 3, 2, 2, -10, -19],\n [-15, -10, -6, -12, -9, 15, 7, 2, 6, 3],\n [-7, 14, 6, 0, -8, -13, 13, 2, -12, -20]]\nB =\n[[15, -5, 4, -3, 13, 17, -18, -1, -2],\n [-8, -4, -7, 9, 1, 8, -19, -13, -7],\n [13, -8, -11, -13, -14, -8, 5, 11, -2],\n [-6, -19, 16, -2, 12, 18, 12, -20, 18],\n [7, -4, -15, -1, -8, -9, 9, 0, -19],\n [-3, 7, -17, -15, 17, -12, -1, 9, 16],\n [17, -17, 17, -8, 14, 9, -17, 4, 10],\n [-9, -6, 5, -11, -9, 1, 19, 0, 14],\n [-14, -3, 6, 14, -19, 11, -6, 3, -1],\n [-11, 3, 3, 3, 19, 13, 20, 19, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4448", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -20, 9, -3, 5, -12, -12, -20, -14],\n [-5, 17, -10, 4, 8, -2, -3, 8, -5],\n [19, -13, 13, -15, 9, 13, 0, -9, -15],\n [18, -15, -17, -12, -16, -11, -13, 2, -17],\n [16, -14, -15, -6, 14, 11, -7, 14, -10],\n [-11, -4, -8, 13, -16, -11, 11, -9, -8],\n [0, 12, 20, 11, -9, 14, 15, 17, 7],\n [-8, -9, 1, -19, 8, -8, 14, -8, 13],\n [-2, -12, 10, 12, 6, -19, -6, -2, 10]]\nB =\n[[-5, -6, -15, -7, 6, 17, -2, 16, -17],\n [5, -12, 20, 19, -6, 20, 16, -17, 5],\n [-3, 20, 14, 20, 20, 8, 3, -17, 0],\n [18, -14, 2, 19, 0, -20, 20, 4, 10],\n [17, -16, 10, -20, 9, -3, -13, 5, 19],\n [-6, -2, -11, 3, -5, 10, -5, -5, 7],\n [-1, 14, -12, 19, -11, -3, -6, 9, 11],\n [19, 6, 6, -2, -11, -15, 3, -12, 6],\n [-14, -15, 12, 0, 17, -4, 10, 16, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3772", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -16, -9, -18, 20, 17, -19, 5, -19, -9],\n [19, -19, 20, -5, 9, 15, -17, -10, 3, -3],\n [6, 16, -19, -6, -10, 6, 2, 14, 9, 3],\n [-2, 8, -8, 2, -9, 20, 8, -15, 2, 10],\n [0, 3, -13, -12, 1, -17, -8, 13, -18, 16],\n [7, 5, 13, -6, -13, 14, 3, 16, -17, -9],\n [-2, -6, 9, 16, -9, -2, 13, -14, 7, 7],\n [8, 16, -1, -10, 18, 2, -1, -1, -10, -19],\n [-8, -8, 20, -6, 10, 2, 1, -5, 8, -1]]\nB =\n[[7, 6, 8, -16, 17, 17, -19, -1, -8],\n [5, 14, -13, 7, 20, -6, -13, -10, 8],\n [-16, -14, -3, 7, -9, -9, 15, 8, -10],\n [-15, 0, -11, 11, 12, -4, -18, -3, -11],\n [20, 18, -13, 13, 16, 20, 12, -11, 19],\n [-3, 4, 20, 15, -19, -2, -11, -18, -2],\n [5, 4, -4, -11, -10, -10, -9, 19, -13],\n [3, -7, 2, 15, -4, -16, -18, -12, -1],\n [-1, -2, 0, -5, 12, -16, 3, -6, 5],\n [4, 7, 12, -3, -3, 17, 12, 6, -6]]\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[[-8, 13, -17, 14, -2, 10, 4, 19, -9, -9],\n [4, 12, 16, 7, -12, -7, -18, -16, 5, 20],\n [-3, 17, 0, 18, -5, 19, 2, 8, -11, -16],\n [-10, 8, 6, 13, -7, 20, -11, -10, -10, 14],\n [-2, 3, -20, -9, -7, -18, 11, -5, 17, -11],\n [-4, 19, -17, -6, 12, 18, -11, -14, 12, -4],\n [-9, -4, -5, -7, -18, 9, 20, 14, 5, -9],\n [10, -4, 16, -13, -2, 5, -17, -6, -7, 9],\n [3, 13, -2, -18, -17, -10, -8, -3, -2, 12],\n [17, -18, 14, -20, 14, 15, 17, 18, 4, 19]]\nB =\n[[-8, -17, -15, -10, -20, -13, 13, 19, -12, 15],\n [18, 16, 0, -1, 17, -20, 14, 7, -14, -12],\n [-20, 15, 13, 13, -4, 11, -19, 15, 4, 5],\n [5, 0, -3, 8, 3, 7, -9, -10, 6, 2],\n [12, -5, 7, 7, 17, -15, 8, 13, -18, -15],\n [17, -8, 15, -6, -15, 12, 20, -9, -8, 12],\n [7, 15, -16, 4, -4, 16, -2, 14, 13, -15],\n [-2, -20, -14, 13, -2, 12, 5, 20, 6, 17],\n [5, 14, -1, 3, 0, 5, -1, -15, -18, -11],\n [-9, 12, 1, -5, -4, -11, -9, -2, 19, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2028", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, -11, -11, -11, 18, 9, -17, -20, -2],\n [-16, 9, 5, 19, 13, -19, 3, -7, 20],\n [-8, 8, -20, 13, -17, 7, -2, -20, 15],\n [-8, -16, 12, -7, -5, 11, 6, 14, -18],\n [-17, -14, -8, 20, -18, -4, -11, -20, 7],\n [-11, -14, 18, -18, -14, -12, 19, 14, 5],\n [-16, -8, 9, 19, 18, -11, 2, -10, -9],\n [-8, 19, -5, -12, -11, 8, -12, 12, 3],\n [14, -10, 18, -8, 2, 4, -5, 0, -11],\n [20, 19, -2, 14, 7, 20, -19, 9, 19]]\nB =\n[[19, -16, 17, -6, 15, -18, 3, 20, 20],\n [-9, -13, -7, -3, -1, 2, -16, -20, -19],\n [-5, -16, 1, -20, -9, -2, 1, -4, -8],\n [18, 7, -18, -16, 15, -6, -4, 8, -17],\n [11, 17, -17, -8, -1, -3, 16, -9, 4],\n [9, -6, 15, -13, 7, 1, 17, -5, -16],\n [13, 17, -10, -19, 4, 4, -20, 10, -16],\n [19, -17, -16, -16, -5, -3, -4, 14, -3],\n [-17, 10, 10, -12, 10, -16, 15, -5, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33945", "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, -1, 9, 5, 10, -6, 20, 17, 17, -1],\n [14, 2, 18, 4, 1, -13, -12, -6, -1, 14],\n [16, -18, 13, 13, 15, 14, -12, 9, 5, -9],\n [3, 20, -2, -5, 5, 2, 12, 9, 2, -11],\n [15, 10, 1, 17, -19, 2, 14, 16, 11, -9],\n [14, 20, -18, 13, 17, 3, 17, -4, 19, -20],\n [-13, -6, 4, -13, 11, -8, -6, -15, 12, -14],\n [12, 8, 17, 16, 11, -18, -1, -7, 7, 17],\n [-17, -6, -4, 16, 3, 17, 20, 15, 20, -13],\n [-18, 9, 1, 12, 4, 9, 16, -18, -17, 8]]\nB =\n[[11, 2, -2, -6, -5, 2, 19, 16, -20, -2],\n [16, 14, 9, -4, 18, 5, -8, 1, 2, 12],\n [6, 14, -9, -12, 13, -7, 16, -18, 0, -14],\n [12, 14, -10, 11, 1, -2, 15, 16, -10, 20],\n [-8, 7, -6, -8, 12, -13, 11, 16, -17, -3],\n [2, 8, -19, -8, -5, -13, -2, 11, -18, 11],\n [20, 0, 4, -4, 4, 12, 10, 15, 2, 4],\n [9, -8, 8, -5, 17, 6, 5, -10, 16, -18],\n [5, 13, 12, -6, -19, 7, -1, 17, -5, -17],\n [-13, -1, 5, 11, -8, -16, -8, 20, -10, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35508", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, -3, 8, -6, -1, 15, -16, 19, 16, 12],\n [-3, -2, 11, 1, 20, -20, 4, -1, 14, -15],\n [-15, 16, -18, 16, 10, 14, -6, -4, -6, -16],\n [1, -10, 7, -7, 18, -18, -10, 9, 17, -16],\n [1, -8, 0, 16, 4, 0, 7, 20, -17, 8],\n [14, 2, -14, -12, 2, -18, -12, -17, 4, -15],\n [-3, -14, 14, 10, 17, 11, 14, 7, -16, 9],\n [1, -4, -11, -14, -17, 6, -14, 2, -10, -13],\n [-13, 16, -16, -14, 1, 15, -19, 3, -19, -9]]\nB =\n[[5, 17, -15, 2, -19, 5, -7, -3, 17, 11],\n [-7, 9, -8, 19, 10, 16, 17, 1, 7, -2],\n [-5, -16, -19, -11, -2, -1, 8, 4, -4, -8],\n [-5, 14, 15, 18, -18, -12, 19, 8, -16, -18],\n [-11, 10, -10, -4, 19, 20, -13, -19, -17, -5],\n [20, 20, 0, -16, 14, -7, -6, -15, -5, 2],\n [10, -9, 20, -2, -9, -8, -19, -1, 10, -12],\n [0, -13, 18, 16, 8, -2, 14, 17, 5, -10],\n [15, 14, -17, -18, -9, 11, 5, -8, 17, 8],\n [-2, 14, 20, 6, 10, -18, 14, 3, -14, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-958", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 7) when matrix A is multiplied by matrix B?\nA =\n[[0, -20, -15, 18, 13, -3, 4, -6, 11, -3],\n [10, 8, -6, 2, 17, 20, -10, -6, 2, -18],\n [-2, -20, 3, -10, 9, -10, 18, -20, -9, -17],\n [4, -13, -6, 9, 19, 11, 14, 0, 10, 15],\n [6, -13, 2, 2, 12, -8, 18, 14, -5, -9],\n [10, -16, 19, 4, 0, -18, -11, 2, -4, 14],\n [4, -19, 6, -12, -17, 5, 11, 8, 1, -8],\n [2, 10, 20, 15, 19, 10, -6, -7, 14, 3],\n [9, 9, 6, 19, -7, -10, 5, 0, -12, -20],\n [-15, -20, 1, -8, 17, 20, 19, 10, -6, -19]]\nB =\n[[10, 5, -19, -10, 12, -3, 0, 10, 5, 9],\n [18, 0, -5, -14, 1, -14, -19, 16, -7, -13],\n [8, -14, 17, 1, -4, -5, 12, 18, 14, 17],\n [11, -18, -18, -13, 10, -12, -16, 7, -6, 6],\n [10, 19, -3, 17, -17, 0, 2, 1, -20, 4],\n [20, 7, 16, -10, 1, 4, 0, 15, -1, -5],\n [7, 8, 5, 19, -19, -11, -8, -6, -12, 6],\n [-13, -15, 15, 3, -18, 5, 15, 0, -8, -10],\n [-13, -7, 12, -19, -20, -10, -15, 11, -6, -9],\n [16, 8, 1, -7, -2, -16, 14, 4, 17, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-391", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 10) when matrix A is multiplied by matrix B?\nA =\n[[-14, -3, -19, -11, -19, -13, -14, 14, 2],\n [-13, 0, 12, -20, -9, -10, 9, -17, 13],\n [2, 11, -18, 7, -17, -9, 3, 12, -18],\n [-17, 9, -15, 9, -13, -3, -5, -15, 3],\n [7, 11, 4, 7, 0, -13, 15, -12, 19],\n [0, -20, -17, -11, 5, 19, -18, -12, 11],\n [-18, -17, -15, -12, 5, -19, -19, 0, 1],\n [-18, 14, 17, 12, -6, -10, -11, 15, -7],\n [-19, 16, 8, 14, -1, 0, 13, 12, -2]]\nB =\n[[-13, 10, -10, -13, 4, -1, 17, -14, -8, 18],\n [-11, -13, -1, -4, -10, -5, 16, 11, 5, 16],\n [-12, 14, -18, 10, -14, -19, 4, 19, -9, 9],\n [9, 8, 20, -10, 2, -4, -8, 12, -20, 19],\n [-8, 17, -18, -5, -14, -18, -7, -5, -17, 10],\n [-8, 6, -20, 4, 16, -10, -12, -14, -7, 9],\n [3, -18, 18, 6, -20, 17, 5, -15, -9, 17],\n [14, -11, -12, 2, 9, 1, -12, -2, -13, -17],\n [-16, -2, -3, 8, -2, -15, -16, -16, -13, 6]]\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 all entries of the result:\nA =\n[[16, 17, 16, -3, 5, -5, 1, 2, -18],\n [-18, -9, 2, -10, 8, -15, -5, 13, 16],\n [-10, -10, 4, -2, 11, -13, -9, 20, 14],\n [-15, 0, 5, -20, -4, 14, 6, -19, 15],\n [-20, -11, 10, 16, -16, 20, -8, 3, 6],\n [-20, -1, -13, -18, 11, 4, 4, -7, 6],\n [11, 6, -17, 18, -10, -18, 4, 3, -12],\n [-13, 18, 10, -4, 10, -17, -17, 16, -13],\n [-15, -12, -13, 11, -6, -3, 2, -16, 6]]\nB =\n[[12, -19, 17, 7, 3, 0, 10, -10, 7, 19],\n [-17, -5, -9, 1, 14, -5, 3, 14, 7, 8],\n [0, 4, 18, 10, -6, 14, 17, 1, -16, -8],\n [11, -18, -6, 6, 6, 9, -15, 4, 7, 1],\n [-17, -6, 5, -3, -12, -17, -16, -15, -9, 10],\n [-12, -14, 8, -7, -1, 11, 1, 15, -3, 19],\n [4, 10, 14, 5, -17, -1, 13, -9, -5, -16],\n [14, 6, -20, 13, 11, 18, 12, 10, -8, -19],\n [9, -11, 2, 12, 18, 8, 9, 13, 18, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3012", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -16, -10, 1, 11, 3, -10, -10, -4, 11],\n [-2, 6, 11, 4, 7, 19, 6, -7, 18, -19],\n [-4, -20, 11, -2, -7, 10, -3, -7, -7, 3],\n [-16, -5, -16, -8, -5, -6, 10, -16, 0, 9],\n [2, 17, 8, -8, 11, 6, 13, 12, -17, -3],\n [-15, 7, 6, 5, -1, -8, 7, 13, 2, -11],\n [9, 1, -16, -12, -17, -20, 13, 20, 5, -3],\n [-5, 2, 15, 5, -19, -16, 8, -17, 14, 1],\n [-13, 0, -13, -16, 0, 6, 17, -16, 0, -13]]\nB =\n[[1, -3, -17, -17, 16, -6, 17, 6, 0, -17],\n [-10, -2, -2, 6, 19, 7, -16, 4, -18, 5],\n [-11, 3, 8, -14, 2, 6, -12, -18, -8, -15],\n [17, 0, -2, 4, 18, -17, 1, -16, -20, -4],\n [-12, -12, 3, -11, -1, -4, -8, 8, 15, 2],\n [6, -3, -3, -12, -18, -14, -6, 9, -12, 20],\n [6, 15, -3, 10, -4, -15, 18, 4, 17, 17],\n [10, 8, 19, -12, -20, -5, 17, 2, -13, -9],\n [-11, -5, 3, 18, -13, -10, 20, 5, -14, -6],\n [-6, -18, -5, -6, 4, 12, -7, 3, -10, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7520", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the product of the following matrices:\nA =\n[[-12, -15, 10, -5, -10, -4, -18, -2, 3],\n [-13, 15, 19, -19, 2, 19, 9, 4, -14],\n [7, 20, -4, 11, -20, 6, 15, -14, -18],\n [9, -20, 13, 17, 15, 12, -5, 17, -10],\n [-13, -20, -7, 9, 0, 0, 13, 17, 5],\n [20, -7, 19, 14, -3, -1, -12, 20, 12],\n [-17, -17, -5, 5, -15, 16, 1, 18, -14],\n [9, -11, -6, -15, 3, -19, 19, -6, 0],\n [-3, -16, 4, 15, -11, 2, 3, -11, -15]]\nB =\n[[-8, 0, 11, -6, -19, -6, -4, -1, -15, -6],\n [-4, 5, 1, -12, -9, 1, 2, 16, -7, 3],\n [-13, 5, 11, 7, 11, 1, -12, -18, 4, 18],\n [-9, 8, -18, 20, 2, 2, -3, -10, 15, 5],\n [-13, 7, -3, -8, 15, 19, -9, 1, -19, 19],\n [7, -8, 12, -18, 13, 2, 11, -1, 7, -13],\n [-18, 9, 4, 9, 8, 9, 13, 4, -4, 3],\n [17, 7, 12, 15, -14, 2, 5, -7, 7, 3],\n [-14, 15, 18, -6, -18, -19, -14, -5, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 8, 3, 12, -7, -3, -16, -6, -14, 4],\n [-7, 19, 15, 14, 3, -6, -10, 3, -10, -4],\n [-15, 0, -13, -6, 11, -11, 7, -6, -9, -3],\n [16, 3, 16, 8, -11, -7, -5, 16, -10, 5],\n [19, -2, -3, 9, 11, 2, -9, -8, 0, 0],\n [8, 8, 6, 8, -6, -9, 20, -2, -9, 2],\n [-16, 5, -11, 1, 18, 2, -10, 7, 10, -13],\n [18, 7, -5, 10, 20, -5, -16, 14, 4, -8],\n [8, 6, 19, -4, 16, 17, 8, 13, 9, 10]]\nB =\n[[1, 4, -17, 14, 20, -12, 5, 6, 6, -3],\n [9, 10, -18, 8, -14, -3, -5, 11, 17, 4],\n [11, -2, -18, 14, 8, -10, -15, -2, 16, 6],\n [-16, 5, 14, -2, -4, 14, -8, -7, 9, -4],\n [16, -6, -3, -7, -7, 12, 17, -10, -10, 5],\n [-18, 4, -4, 1, 8, 5, 13, 5, -12, 19],\n [-10, -14, 9, -19, 9, -17, -7, -8, 4, -8],\n [-8, 16, -15, 5, -7, -13, 3, 1, 19, 18],\n [0, 5, -11, -8, -7, -12, -14, 18, 10, -5],\n [-13, -6, 4, 17, 20, -6, 4, -14, 5, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4977", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 0, -5, -18, -20, -8, 11, -9, 10, 20],\n [-19, 20, -13, 4, -16, -19, 17, 18, -18, 17],\n [1, 19, 12, 11, -4, -3, -18, -15, -8, 10],\n [-4, 0, -5, -4, 11, -20, 17, -13, -20, -19],\n [16, 3, 6, -1, 0, 16, 14, 17, -6, 9],\n [-17, 18, -6, 2, 20, -6, 5, -9, -3, -15],\n [-3, 3, 17, 7, -6, -2, -16, -17, -4, -11],\n [-9, -16, -14, 2, -19, 9, 16, -16, -1, 5],\n [18, -15, 8, -11, -5, 13, 10, 15, 20, -16],\n [12, -2, 11, 2, -18, -20, 15, 20, 7, 18]]\nB =\n[[-16, -8, -10, 1, 2, -9, 0, -2, -16, 3],\n [9, -13, -19, 13, 2, -18, 3, -3, 16, 10],\n [-7, -20, -7, 20, -16, 10, 10, 9, 15, -20],\n [-18, -1, 0, 9, 9, -16, -11, 3, 18, -15],\n [-11, -11, 4, -7, 18, -8, -10, 18, -10, -5],\n [12, 20, 20, 11, -11, -6, -5, 6, 11, -15],\n [15, -13, 4, -14, -4, 9, -19, -4, -17, 5],\n [-7, -13, -16, -16, -16, 6, -16, -18, 17, 9],\n [-20, -13, -8, -1, -15, -13, 9, 19, -6, -11],\n [12, -12, 12, -12, -7, 11, 16, -15, -16, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1175", "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, 10, -7, -8, -17, 5, 3],\n [-12, 14, -6, 3, 10, -2, -19, -19, 20],\n [15, 16, 13, 18, -2, 17, 2, -5, -15],\n [5, 1, 3, 19, 0, 9, -10, -12, -9],\n [5, 17, -18, 12, -6, -16, 3, -10, 12],\n [2, -11, 7, 18, -4, 5, 4, 15, -9],\n [-18, 8, 3, -2, -8, -5, 19, 6, -15],\n [-11, 17, -13, -3, 11, -4, -19, -1, -11],\n [-12, 18, 20, 4, 4, 3, -15, 9, -11]]\nB =\n[[18, 10, -3, 12, -2, 2, -16, 5, 8],\n [3, -15, 18, -17, 5, -6, -8, 19, 1],\n [-8, 18, -4, 15, 18, 4, 13, 0, 4],\n [4, 1, 2, 4, -7, -7, 5, 19, 9],\n [5, 17, 1, 18, 18, 13, 4, 15, -8],\n [8, -12, -6, 10, 6, 10, -11, 16, -14],\n [11, -10, 7, -17, 10, 8, 12, -17, 5],\n [10, 10, 6, 4, 15, 10, 16, 2, 14],\n [-17, 7, 20, -8, -20, -9, 19, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27524", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 2) of the product matrix AB given:\nA =\n[[1, 7, -4, -15, -7, -4, 17, -16, -8, -12],\n [5, -8, -2, -4, -5, 9, 11, -7, -6, -9],\n [16, -10, -16, -10, 13, -2, 5, 5, -4, 10],\n [-2, -1, 2, 4, 7, 16, -9, -20, -19, -11],\n [13, 11, 4, -11, -20, 11, 16, -9, -3, 9],\n [-8, -18, 0, -7, 19, -11, -19, 16, -10, -20],\n [5, -8, 7, 15, 0, -11, -9, 6, -18, 7],\n [-19, 7, 10, 0, -14, 10, -7, 18, 18, -12],\n [2, -9, 8, 17, 18, 1, -17, -14, 19, -13]]\nB =\n[[14, -12, -8, 18, -1, 0, -2, -19, 19],\n [9, 2, 19, -8, 12, 11, 7, 3, 7],\n [9, 20, 8, 13, 1, 4, -7, -11, -11],\n [-13, -7, 17, 11, 11, -18, -1, -8, 2],\n [-2, -5, 15, 14, -14, 16, -13, 4, 2],\n [-11, 9, 12, -10, 14, 6, -18, -13, -8],\n [-18, -1, 14, -8, -1, 3, -12, 9, 4],\n [-5, -13, 7, -9, 3, 8, -6, -3, -14],\n [-8, -2, -16, 5, -19, 12, 16, 4, 4],\n [18, 9, 20, -17, -2, 6, 18, 3, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[4, 8, 10, 14, 7, 17, -17, 7, 10, 2],\n [-7, 7, -7, -20, 11, 20, -3, -16, -6, -5],\n [15, 15, 19, 9, 17, 2, -10, 4, -19, 14],\n [3, -8, 16, 9, -10, 2, 7, 8, -6, -18],\n [-12, -13, 12, 13, -12, -4, 20, -20, 19, -16],\n [9, -10, 7, 17, -4, 2, -3, 16, 6, 4],\n [-16, -2, 6, -8, -14, 5, -7, 6, -13, 10],\n [14, 6, -17, -17, -3, 2, 11, -9, -1, -9],\n [-13, 1, 6, 20, 20, -4, 11, 12, 10, -15],\n [18, -12, 11, 15, -5, -9, 20, -18, 6, 6]]\nB =\n[[-12, -4, -16, 5, 0, -20, -20, 14, -12, 2],\n [17, 20, -17, -2, 16, -16, 7, 2, 17, 2],\n [-3, 8, 7, -12, 18, -11, -19, -8, 17, 6],\n [20, -1, 19, -11, -5, -6, -8, 17, -1, 3],\n [20, -14, 2, 3, 8, -16, 14, -20, 15, -3],\n [-15, 2, -11, -14, -13, -8, 9, -3, -7, -10],\n [17, -8, 12, -8, 4, 3, 8, 15, -15, -3],\n [7, -16, -3, 16, -14, -12, 14, -9, 19, 18],\n [3, -12, -9, 15, 16, -12, 18, 1, -4, 12],\n [3, -6, 8, 11, 12, 8, -6, 6, 13, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-369", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 0, -13, -15, -1, -19, 1, 0, -15, 11],\n [-15, -8, -20, 1, 3, 20, 9, 1, -9, 5],\n [-17, -2, -5, -9, 12, 0, 15, -12, 18, -13],\n [-1, -11, 11, 7, -11, -13, 12, -8, 14, 8],\n [-16, -18, 16, 20, -15, -5, 14, -3, -10, 2],\n [-10, 8, 6, -12, 14, -12, -3, 0, 15, -20],\n [6, 19, 17, 8, 19, -2, 3, -20, 15, 2],\n [-8, 9, 16, -10, -14, 14, -10, 19, 0, -18],\n [9, 3, 17, -18, 16, 12, 1, 10, -9, -7]]\nB =\n[[-9, 6, -8, 3, 17, -12, -13, 16, -6],\n [-14, 3, -5, 3, -14, 7, -19, 13, 17],\n [-18, -20, 10, 2, -1, -5, 11, -4, -3],\n [-17, 14, 19, 15, 2, -6, -8, -7, -7],\n [16, -16, 1, 7, -17, 17, 8, 16, 14],\n [-1, 14, 14, -1, -19, -3, 9, 8, 18],\n [1, 8, -11, -1, -5, -15, -4, -15, 1],\n [-3, 11, 7, -11, 20, 1, 7, -6, 8],\n [-14, 13, 11, -19, 5, -10, 4, -2, -1],\n [12, -4, 9, -3, 11, 19, -17, 11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3698", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-18, 17, 7, 17, -15, 19, -4, -16, -2, 14],\n [1, 3, -11, -19, 7, 20, 16, -4, -15, -16],\n [18, -14, 11, -17, 0, 11, -3, 12, -7, -15],\n [-10, -1, 8, 14, -5, -14, 19, 15, 10, -15],\n [8, 6, -19, 1, -12, -10, -5, -8, -3, 4],\n [12, -11, 9, -20, 12, -6, 8, -19, -10, 13],\n [20, -2, -19, -1, 20, 10, -17, 8, 9, -8],\n [-6, -1, 13, 7, -1, 4, 6, 9, 20, -1],\n [-20, 14, 3, 4, 19, -9, -10, 9, -8, 4],\n [4, -4, -9, -10, -11, -4, -5, -1, -16, 20]]\nB =\n[[11, 6, -17, 20, -14, -7, 18, 3, -3],\n [17, 18, 19, -20, -4, 5, 1, 18, -3],\n [17, 7, 0, 17, 12, 9, -13, 9, 18],\n [-12, 12, 8, 10, -18, 17, -10, -16, 10],\n [-1, -17, -13, 14, -8, -16, 19, -2, -3],\n [12, -17, -3, 3, 8, 10, 7, -12, 5],\n [-19, -15, 8, 5, 7, -14, 13, -11, 20],\n [19, 1, 6, 18, 1, -2, 15, -12, -2],\n [-19, 7, 18, 1, -15, -14, -15, 12, -7],\n [-20, 4, -15, 7, -3, 6, -19, 19, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "743", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -19, -5, -17, 13, -16, 13, 1, -1, 18],\n [-8, 13, -15, 8, 12, -20, -14, 1, 11, -7],\n [3, -2, 6, 2, 0, 8, -20, 10, 6, 15],\n [6, -6, 4, -6, 19, -2, -10, 20, 12, 20],\n [2, -9, -19, 0, -7, 13, -6, 0, 2, 0],\n [-7, 0, -9, -16, -19, 1, -15, -19, 8, 15],\n [-14, -5, 12, 12, -7, -9, -15, -9, 10, -9],\n [-11, 19, 6, -14, 15, 12, 6, -13, -16, -13],\n [19, 0, 3, -14, -2, 10, 15, 6, 8, 2]]\nB =\n[[-1, -15, -9, -9, -18, 18, 14, -2, -17, 10],\n [17, 12, -15, -13, 7, -6, 10, -13, -15, 8],\n [13, -14, 19, -11, -8, 1, 0, -20, 20, -19],\n [8, -10, 16, -14, 14, 9, -5, -6, 19, -1],\n [7, 16, -18, 8, 16, -12, 6, 11, 18, 10],\n [5, 19, -18, -10, 8, 6, -11, 14, 2, -15],\n [-10, 6, 10, 9, -18, -8, 19, 0, -10, -18],\n [17, 10, 3, -9, 6, 0, 4, 9, 9, -11],\n [-18, -8, 6, -3, 3, -7, 18, -17, -5, -11],\n [16, 6, -20, -16, -8, -18, -4, -2, 16, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1995", "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, 12, 0, -18, -17, 11, 3, 14, -3],\n [-18, 18, 5, 3, -20, 13, -9, -4, 0],\n [0, -18, 7, 4, -15, 9, 11, 1, 17],\n [-7, 13, 5, 19, -8, 9, -2, 20, 18],\n [-18, 10, -9, -6, 17, 19, -7, 14, -5],\n [3, -4, -3, -4, -5, 0, 3, 13, 15],\n [6, 18, -4, 4, 17, 0, -17, 4, 9],\n [12, 18, 5, 4, -5, 3, -16, 18, -8],\n [9, -14, -4, 6, 14, -16, -16, 3, -14]]\nB =\n[[-14, -7, -6, -16, 16, -17, 9, -1, 5, -12],\n [9, 1, 19, 20, 9, -1, 7, -14, -17, 7],\n [14, 12, -14, -12, 13, 18, 13, -8, 8, 14],\n [-11, 9, 5, 14, 7, 8, -15, -18, 8, -19],\n [1, 6, 1, -11, -2, 3, 6, 15, -4, -11],\n [-4, -11, -11, 17, -4, 5, 5, 13, -17, 6],\n [0, 15, 17, 10, -14, 13, -3, 3, -8, -8],\n [4, -16, 18, 8, 12, 3, -11, 4, 20, -11],\n [18, -5, 7, -9, 11, 8, 6, 5, -18, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26005", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[18, -20, 14, 6, -17, -2, 1, -15, -12],\n [-10, 1, -12, 8, -11, 13, 10, 1, -17],\n [-19, -16, -6, -2, 17, -6, -13, -1, -9],\n [-17, 17, 18, 15, -6, -20, 10, -12, 2],\n [5, 19, 18, -3, 12, 20, 18, -7, -20],\n [-8, -6, 16, -16, -7, -7, -16, -10, 11],\n [-16, 15, -6, -14, -16, 9, -6, 9, -7],\n [3, 3, 14, -16, -9, -1, -16, 15, 0],\n [18, -18, 8, 4, 6, 15, 1, 17, 14],\n [-20, -18, 3, -13, 18, -3, 20, -18, -3]]\nB =\n[[-5, 11, -20, 5, -9, 17, 0, 20, -8, -9],\n [-8, -3, -2, -2, -15, -14, -14, 7, 7, -2],\n [-5, -4, 1, -2, 8, -2, 14, 4, -1, 16],\n [-2, -8, -9, -6, -17, -6, -4, 6, -10, 2],\n [-6, 10, 5, -14, -8, -8, -1, 13, -11, 16],\n [6, 13, 15, -5, 0, -5, -4, -6, -8, 12],\n [-16, 6, -20, 9, 2, -6, 15, -2, 9, -5],\n [-3, 5, -4, -10, 8, -12, -4, 6, 16, 1],\n [-13, -18, 17, 14, 11, -13, 6, 11, 15, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3061", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 8) of the product matrix AB given:\nA =\n[[4, 10, -8, -6, -8, 12, 10, 4, 19, 2],\n [17, -18, -5, -19, 2, 13, 9, -11, -20, 1],\n [12, 4, 1, -5, 9, -3, 3, -16, 16, 2],\n [6, -9, -11, 13, 12, -5, 8, -3, 6, -14],\n [15, 6, -11, -11, -10, 9, -18, 8, -7, -8],\n [-2, 4, -11, -6, 7, 19, 17, -14, -7, 9],\n [19, -9, 7, -7, -20, -17, -3, 15, 11, 7],\n [7, 17, 11, -13, 4, -1, 12, 9, 16, -5],\n [4, 17, -11, -16, -13, 12, 16, -20, 10, -14],\n [2, 3, -7, 2, -12, -13, -13, -18, 11, -17]]\nB =\n[[17, -19, -12, -20, -10, 8, 5, 6, 17],\n [8, 12, 7, 10, -2, 5, 8, -10, 20],\n [11, 0, 17, 13, 19, 1, 6, -13, 19],\n [10, -20, 18, 13, 3, 7, -17, -3, 8],\n [2, 16, 6, -5, 6, -12, -16, -13, -3],\n [14, -15, 2, 5, 18, 3, -11, -6, 17],\n [-1, 8, -15, -12, -16, 18, -2, -16, -1],\n [-10, 6, 8, -14, -18, -16, -8, -5, -9],\n [18, 6, 12, -6, 0, -4, 16, -6, -1],\n [-2, -20, -17, -18, -13, 20, -16, -12, -20]]\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 value at position (9, 6) of the result:\nA =\n[[9, -14, 1, -1, 8, 6, 4, 14, 6, -10],\n [-4, 10, -3, -2, 17, 8, -6, -14, 16, 16],\n [-14, 1, -9, -13, -3, 7, -3, 10, -4, 2],\n [-10, -6, 9, 10, -15, -9, 2, 18, 19, 15],\n [14, -18, 7, -6, -8, -2, 19, -3, 10, 16],\n [0, 18, -16, -4, -2, -17, 5, 3, 18, 17],\n [-2, 9, 5, -10, 18, -18, 1, -4, -10, 18],\n [6, 8, -9, -8, -10, 10, -10, 20, 15, -19],\n [2, 15, -7, 16, 6, -9, 8, -15, 2, -11]]\nB =\n[[13, -9, 11, 5, -14, 11, 12, -3, 14],\n [-1, 10, -16, 11, -2, -20, -14, 1, 13],\n [-11, 5, 11, 6, -9, 19, 2, -7, 13],\n [-4, -15, 6, -13, 12, 14, -4, 5, -14],\n [3, 4, 14, 5, -16, 17, 14, 9, 4],\n [3, 9, -1, -18, 11, -13, 2, -5, 14],\n [4, -6, -13, 13, 4, -2, -8, -9, -6],\n [2, 19, -19, 19, 2, -16, 13, -11, 6],\n [-17, -17, -13, -15, 4, 6, 19, -1, 6],\n [-14, 2, -1, 13, 8, -16, 6, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[16, 13, 9, 15, -15, 11, 11, -12, 1, -11],\n [8, -10, 7, -19, 0, 10, 20, -4, 6, 9],\n [20, -13, 16, -16, 5, -15, -5, -20, -12, 0],\n [-14, -6, 3, -16, 17, 8, -10, -17, -11, 13],\n [-17, -11, 12, -3, -9, 2, 4, 16, -17, -8],\n [-3, 8, 9, 17, 7, -14, 3, 20, -11, 16],\n [6, 0, 15, 8, -14, -8, 2, 4, 20, -8],\n [16, 9, 5, -9, -20, -3, 0, 3, -4, -12],\n [19, 7, -6, -8, 7, -4, -12, 0, 9, -10],\n [9, 15, 4, -14, -1, 14, -11, 14, -20, -7]]\nB =\n[[-16, 19, 17, 13, 3, -17, 6, -16, -8],\n [19, 0, 16, 11, 17, 10, 11, -6, 9],\n [-14, 17, 10, 5, 15, 5, -19, -12, -16],\n [6, -9, 14, 8, -5, -2, 6, -3, 20],\n [-8, 9, 5, -15, -18, 2, -9, 20, 20],\n [-6, -20, -13, 10, -10, -4, 6, 10, 6],\n [-7, 2, -16, 9, 13, -2, 10, -5, 6],\n [5, 18, 8, 18, 8, 10, -19, -15, -12],\n [-6, -1, -19, -18, 9, -13, 19, 0, 18],\n [-8, 19, 20, 16, 11, -7, -20, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1483", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -7, -13, 6, -18, 12, 0, 11, 19],\n [20, 20, 11, 3, -10, 16, 0, -3, -10],\n [6, 17, -20, 8, 0, 8, -12, -14, 17],\n [10, 6, 11, -16, 12, -6, -16, -1, 17],\n [16, -4, -17, 0, 13, 19, -16, -17, 1],\n [-7, -17, -13, -18, 8, 5, 9, -9, -6],\n [20, -19, -20, 7, 19, 14, 13, -17, -3],\n [-9, 0, -11, 0, 19, 4, -4, -15, -7],\n [16, 19, 19, -3, 9, -12, -7, -4, 13]]\nB =\n[[1, 11, -9, -5, 1, 17, 18, -19, -13],\n [-20, 20, 19, 20, -16, 15, -4, 20, 9],\n [-6, -1, 15, -19, -17, 3, -19, -19, -20],\n [-8, -15, 1, -4, 1, -15, -18, -15, -4],\n [14, 16, 14, 2, -13, -14, -11, 5, -11],\n [-2, 2, 10, 12, -19, 7, 11, 12, -12],\n [8, -6, -3, -3, -14, -7, 8, -2, -16],\n [20, -16, -6, 5, 3, -2, -1, -12, 7],\n [-5, -10, 13, 4, 19, 0, -16, -10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8451", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 16, 20, -20, 5, -11, 19, -2, -5],\n [16, 20, -17, -7, 9, -14, -9, 3, 18],\n [1, 9, 18, -1, 5, -16, 19, -15, 13],\n [-16, -11, 7, -18, -8, -19, 14, 7, 16],\n [2, 2, 14, 20, 18, 11, -19, -5, -5],\n [-18, 7, 8, -1, 15, 12, 1, -13, 3],\n [16, -1, -9, -1, -1, -17, 9, 10, 1],\n [-6, 17, 16, 7, -10, -7, -10, -12, 3],\n [-11, 17, 20, 16, 11, -1, -7, 17, -17]]\nB =\n[[3, 11, -11, -5, 18, 11, -3, 4, -14],\n [-3, -3, -18, -20, 12, -14, -11, -13, 11],\n [2, -4, -7, -4, 4, 0, -15, -1, -1],\n [5, 11, -13, 8, -4, -3, 19, -3, -10],\n [-9, -6, 5, -18, -18, 17, 14, -12, 19],\n [-17, -1, -6, 8, -16, 18, 19, -14, -13],\n [11, 15, 12, 16, 11, 15, 13, 4, 11],\n [-19, -12, 17, 8, 17, -3, 1, 14, -6],\n [-14, -8, 15, -5, 20, 0, 7, -11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -20, -8, 15, -1, 20, 19, -15, 2],\n [3, -16, 11, -4, -10, 6, -17, 2, 2],\n [13, 0, 1, -20, 11, 7, -3, -14, 17],\n [-15, -7, 9, -7, 20, -12, 10, -19, -3],\n [-16, 5, 2, -9, -7, -8, 14, -6, 14],\n [-2, -6, -13, 2, -8, 2, 10, 9, -19],\n [-10, 4, 8, 1, -2, -12, 20, 17, 8],\n [-11, 1, 3, -13, -15, -14, -1, -4, 15],\n [-13, -8, 3, 10, 2, -4, 3, -11, 10]]\nB =\n[[-1, -5, -7, -18, 9, -3, -15, -1, 14, -2],\n [5, 14, -9, -13, 16, -11, 0, 20, 8, 10],\n [19, -14, 13, 13, 9, -17, 20, 9, 4, -7],\n [3, 10, 18, 7, 4, -2, -17, 13, 11, 4],\n [1, 7, -3, -14, -10, -10, -12, 14, 16, 2],\n [12, -20, -1, -16, 8, 5, 17, -18, 0, -8],\n [10, -4, 14, 2, -18, -19, -18, -1, -12, -17],\n [4, -20, 18, -9, 19, 19, 3, -12, -1, -16],\n [-1, 0, -19, 0, 3, -12, 18, 9, -3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4777", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[20, 0, 1, -4, -16, -15, -11, -19, -14],\n [-17, 16, -2, 7, -1, 9, 17, -19, -18],\n [18, 4, -19, 18, -6, -18, -16, 19, 15],\n [19, 17, 16, 6, -16, -4, 17, 20, -9],\n [10, 12, 8, 17, -18, 17, 20, 19, 9],\n [1, 17, 11, -11, 11, -17, 8, -13, -1],\n [-14, -20, 4, 5, -12, 2, 19, -19, 5],\n [-7, 10, 5, -2, 17, -16, -15, 14, -5],\n [10, -3, -7, 4, -6, 5, 15, -10, 16],\n [20, 16, -14, -3, -1, -19, 5, 2, 11]]\nB =\n[[-8, -8, -4, 4, 1, 6, -4, 5, 17],\n [-7, -7, -9, -16, 16, -17, 8, 4, -17],\n [-5, -19, 2, -17, -1, -4, -15, -3, -1],\n [18, 20, 13, 19, 3, -3, 9, -20, 2],\n [8, 20, 20, 11, -19, 15, -4, -19, -17],\n [13, -20, 2, -15, -5, -19, -9, 6, -2],\n [7, 14, -17, -14, 16, 4, 20, -4, 20],\n [-7, 16, -19, 3, -6, 12, -9, -2, -16],\n [-20, -12, 18, 13, 8, -19, -2, 7, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "689", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, 1, -17, -13, -20, 15, -14, 4, 8],\n [-20, -3, -17, -1, -13, 6, 18, 14, 4],\n [-7, 19, 10, -16, -4, -11, -5, -17, -16],\n [20, -1, -15, -10, -4, 20, -18, -5, 15],\n [5, 3, 13, -1, -4, -1, -5, -17, -3],\n [15, 14, 9, -3, 0, 11, -16, 20, 2],\n [9, 6, -6, 20, -7, 0, 13, 5, 4],\n [10, -15, -17, 3, 10, -2, -10, 8, -16],\n [-3, -18, 19, -10, 0, 9, -2, 4, 14]]\nB =\n[[-9, 5, -16, -2, 6, 17, 8, -9, -2, -12],\n [-3, 8, -18, 2, 9, 3, 16, 16, -17, 7],\n [-5, -8, -13, 4, -19, 9, 19, -18, 2, 8],\n [20, 9, -10, 0, 6, 3, 10, 9, -20, -20],\n [-13, 13, -5, 6, -17, -2, 8, 20, -18, -10],\n [-13, 18, 12, -13, 4, 3, 5, 5, -4, 6],\n [8, 18, -12, -7, -16, 9, 7, 16, -13, -6],\n [7, 15, 12, -15, -9, -14, 7, -14, 20, -20],\n [3, -2, 11, 9, -20, 11, -1, 0, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 11, 9, 2, 6, 16, 5, -18, 10],\n [-19, -11, 17, -2, 10, 8, 4, 11, -4],\n [2, -3, -10, -1, -8, 3, -1, 7, 14],\n [0, -15, -14, 8, 2, -16, 1, -12, 11],\n [-11, 7, -10, -14, 9, 17, 13, 7, 11],\n [-5, 18, -20, 13, 20, 2, -1, -3, -3],\n [19, 0, -13, 13, -10, -11, -13, -13, -2],\n [-20, -18, 11, -5, 9, 7, 7, -5, 20],\n [12, 4, -3, 5, -15, 17, -18, -15, -7]]\nB =\n[[-3, -5, 3, -8, -20, 17, -7, -4, -8, -8],\n [-12, -15, -15, 9, 16, -7, -17, 13, -19, -4],\n [-7, -4, 9, 8, -14, -12, 2, 15, -7, -1],\n [-4, 11, 4, 9, 6, 6, 10, 5, -7, 0],\n [7, -6, 9, 4, -10, -10, 7, -16, 7, -13],\n [5, -15, 11, 11, -9, -15, -8, 18, 19, 13],\n [2, 20, -4, -20, -14, -8, -7, -4, 9, 13],\n [6, 4, 14, -12, -15, 5, 17, 18, 6, 19],\n [10, -18, 3, -6, -15, -10, 9, 14, 17, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1579", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 2, -18, 5, -7, -2, 0, 0, -12],\n [-8, 20, 16, 17, 3, 17, -10, 8, 17],\n [20, -4, 5, 5, -9, -3, -12, -18, -11],\n [-19, -13, -3, 18, 10, -7, 18, 12, 8],\n [12, 14, -19, 14, 11, 15, 2, -16, -5],\n [19, 3, 19, 7, 4, -14, 17, -14, 1],\n [1, 6, 12, 11, 18, 11, -20, -11, -17],\n [8, -14, 17, -15, -10, -12, 9, 1, 18],\n [-12, 17, 12, 5, -5, -12, 2, -6, -2],\n [-5, 4, 14, -8, -14, 13, -7, 2, 2]]\nB =\n[[-4, -8, 6, -19, 16, 9, -17, 9, -18],\n [-7, -10, 19, 2, 20, 11, -18, -20, -12],\n [-12, -9, -20, -5, 9, -13, -11, 12, 17],\n [20, 1, -5, -2, -10, -10, -7, 18, 5],\n [-1, -1, -16, -20, -10, -11, 7, 13, -8],\n [4, 2, 15, -9, -19, -1, -5, -7, -19],\n [-5, -17, -8, 17, -20, -12, 0, -3, 11],\n [13, -1, -19, -17, 17, -14, 1, -1, 14],\n [-17, -1, 14, 12, 0, -7, 10, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, 15, 8, -14, 11, -8, -8, -7, -15],\n [-5, 20, 0, -5, -16, 3, -20, -11, 14],\n [10, -6, -10, -12, -19, 9, -5, -20, -15],\n [-10, 12, -4, 13, 19, 4, 1, 5, 6],\n [17, -12, 16, -16, -3, 1, -9, 1, -15],\n [15, 6, -6, -4, -18, -11, 4, 0, 19],\n [-12, 3, 11, -18, 12, -9, 8, 0, 18],\n [13, 12, 11, -1, -18, -17, -4, -4, -2],\n [-17, 8, -4, 1, -19, -9, -10, 19, 8],\n [-1, -16, 4, 13, -9, 7, 13, -15, -2]]\nB =\n[[-9, 4, -8, -4, -9, -18, 3, -13, 15, 5],\n [-13, 11, 11, -20, -18, -20, -6, -1, -18, -6],\n [16, 0, 18, 2, 19, 14, -3, -4, 10, 5],\n [1, 15, 14, -10, 6, 13, -3, 6, -17, -4],\n [-15, -10, -16, -3, 4, -11, 20, -5, -11, -11],\n [15, 0, -7, -13, -20, -5, 5, -15, 18, -19],\n [-12, -16, 19, -16, -13, -16, -16, -4, -12, 13],\n [12, 1, 0, -6, -20, -14, 2, -15, -1, 5],\n [-9, -8, -8, -19, 11, 10, -10, 16, -17, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-959", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 10, 4, 18, -13, -13, 13, -6, -16, -2],\n [-11, -12, 8, 19, 16, -2, -8, 19, -5, 9],\n [-16, 12, -2, -2, -4, 3, 7, 16, 1, 18],\n [-5, 14, 6, -9, 7, -20, 18, -3, 2, 1],\n [-17, -10, -3, -14, 0, 14, 16, 9, -4, 12],\n [-5, -6, -8, 18, -18, 3, 2, -20, 11, 12],\n [9, -19, -3, 9, -3, -16, -16, -13, -12, 11],\n [-7, -8, -3, -17, 1, -1, -6, -14, -8, 13],\n [20, 9, -16, -20, 10, -1, -2, 8, 17, -11],\n [8, 10, -10, 2, 9, 4, -5, 2, 12, 16]]\nB =\n[[7, 6, -15, 17, 16, -15, 4, -8, 12],\n [12, 4, -7, 19, 20, 17, -12, -3, -6],\n [-17, 13, 17, -4, -14, 11, 2, -1, -19],\n [0, -9, 6, -11, -13, 0, 1, -8, 19],\n [-9, -4, -12, 19, -9, -12, 9, -15, 4],\n [7, -11, 20, 7, 8, 15, -10, 0, 17],\n [5, -3, -17, 20, -6, 2, 20, -15, -14],\n [-6, -12, 9, 7, 9, -13, 14, 14, 5],\n [9, 14, 17, -10, -1, 10, 13, -9, 7],\n [-18, -16, -8, -9, -20, -2, 8, 18, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5817", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -4, 7, 18, -16, -20, -18, 3, 8, -6],\n [-17, -20, -6, 3, 10, -1, -11, -10, -3, 13],\n [7, 17, -5, 3, 18, -9, -14, 15, -4, -17],\n [16, 12, -2, 5, -10, 10, -20, 19, 15, 8],\n [4, -3, -18, -3, -14, 7, -4, 4, -3, 19],\n [-18, 4, -14, -11, -2, -6, 0, 0, 16, 7],\n [11, 20, 6, 2, -11, 19, 20, -15, 3, -3],\n [-11, -6, 13, -13, 14, 6, 4, -18, 0, 18],\n [11, 0, -12, -20, -17, -17, 5, 13, 6, -6],\n [11, 20, -14, -7, 2, -20, 11, 20, 5, -12]]\nB =\n[[-5, 10, -19, 11, -11, 4, -3, 13, 8],\n [3, -18, -6, -18, 10, -11, 17, 1, -7],\n [-12, -3, -13, 17, -6, -6, -15, -9, -2],\n [19, -16, 6, -11, -7, 13, -6, 8, 5],\n [6, -18, -18, 14, 14, -15, -7, 5, -18],\n [12, -8, 8, -12, 11, 1, 1, 13, -11],\n [4, -9, -18, -2, 12, 5, -8, -14, 13],\n [1, -1, 2, -7, 9, 2, -2, 18, 20],\n [15, -15, 2, -11, 14, 0, 11, 9, 12],\n [-15, -16, -6, 4, -8, -15, 16, -19, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -9, -7, -14, 5, 11, 8, 18, -12],\n [-7, -4, 4, 9, 8, 8, -3, 10, -2],\n [-4, -15, -9, 17, -18, 14, 12, 8, -18],\n [-16, -7, 15, 7, 20, 11, -3, 19, -8],\n [-19, 4, -1, -14, -10, -16, 8, -3, -13],\n [6, -19, 14, 5, 2, -16, -5, -10, -2],\n [-5, 11, -9, -19, 1, 5, 12, 3, -16],\n [0, -3, 18, -16, -13, 0, -16, -8, -2],\n [8, -19, 16, 5, 8, -16, 11, 17, -19]]\nB =\n[[-16, 12, 14, -2, -6, 14, -13, -20, 17, 1],\n [-4, -5, -20, -18, -15, -18, 9, -10, 6, 1],\n [-15, 17, 20, 10, -15, -1, 20, -10, -19, 10],\n [17, 5, 6, 10, 3, -8, 4, 16, 20, 4],\n [8, 10, 18, -19, -9, -16, 6, 13, -7, -14],\n [16, 15, -11, 8, -5, 17, 0, 17, 20, 12],\n [8, -4, -8, -15, -19, -13, 11, 15, -12, 2],\n [-14, 10, 0, -20, -19, 19, -10, 16, -3, 3],\n [-2, -16, 8, 18, -19, -4, -10, 16, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2712", "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, 19, -13, -11, 4, -10, 7, 12, 18, 5],\n [-13, 17, 5, 11, 7, -14, 14, -19, 1, 1],\n [-18, -13, -17, -6, 18, -9, 8, -12, 19, -1],\n [13, 5, 0, 2, -3, 3, 8, 17, 17, -8],\n [11, -2, -4, -19, -3, 18, 6, -7, -6, -13],\n [-12, 0, 14, -7, 6, -13, 14, -3, -7, -13],\n [-13, 16, -19, -4, -8, -7, 20, 20, -12, 6],\n [-1, 17, -9, 1, 16, 18, 10, -8, -20, 17],\n [19, -12, 18, -11, 8, 19, 9, -19, -3, 7]]\nB =\n[[11, 3, 17, -7, 4, 4, 11, 6, 11, 10],\n [3, 14, 9, 12, 12, 6, 12, 12, -17, 9],\n [-6, 8, 7, 11, 15, 9, 17, -9, -18, -6],\n [-11, 1, 2, -10, -5, -5, -7, -15, -4, 10],\n [-11, -1, -12, -6, 18, -19, -17, 3, -3, -10],\n [16, 5, -13, 1, -16, -19, -16, 14, 11, -2],\n [18, -17, 2, -2, 5, 5, -14, 11, 12, 5],\n [3, 2, 17, 5, 10, -15, 10, 19, -9, -4],\n [5, -18, -6, 17, 3, 9, 15, 6, 1, -19],\n [-14, -5, 3, 9, -20, 6, -12, -14, -16, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28482", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -11, 4, -3, -14, 10, 11, -10, -11, 1],\n [10, 20, -7, -18, 3, -7, -5, 7, 14, 19],\n [-19, 13, -3, -14, 17, -14, -17, -5, -15, -1],\n [10, -2, 1, 0, -3, 11, 13, 6, 17, 9],\n [12, 6, 2, -2, 10, -17, -2, 17, 19, 1],\n [-12, 10, -11, -11, 9, -11, 15, -3, -2, 2],\n [-17, -9, 3, -8, -17, 6, 17, 18, -13, 5],\n [13, -12, -11, -20, -13, -11, 4, 10, 18, -18],\n [18, 17, 14, -13, -20, -16, 6, 5, 5, -10],\n [13, 20, -19, 0, 5, -9, -12, 20, 2, -16]]\nB =\n[[-12, -11, -11, -7, 15, -11, 16, 20, 17],\n [1, 2, -5, -10, 14, -1, 16, 20, -16],\n [15, -8, -4, 5, -1, 18, 12, 9, -5],\n [-14, 9, -19, -9, 19, -20, -18, -13, 5],\n [19, -10, 0, -16, 19, 5, 0, -12, -4],\n [16, -19, 19, 7, 6, 19, -20, -10, 18],\n [-3, 6, -11, 15, 0, 7, -20, -7, -1],\n [-12, 6, -17, 16, -3, 10, 18, -11, -12],\n [7, 7, -8, -3, -9, -13, 2, -16, -14],\n [-6, -18, -3, 17, 5, 17, 12, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1255", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-19, 4, 20, -2, 17, 4, 18, -17, -18, 13],\n [-11, 6, 5, 6, -20, -1, 4, -11, -20, -5],\n [-10, -17, 14, -8, 0, -6, -11, 17, -10, 11],\n [12, -1, 15, 9, -11, -6, 8, -20, 0, -6],\n [-18, 12, 17, -2, -17, -9, 4, 13, -4, -15],\n [-9, -6, -4, -20, -7, -19, -17, -19, 5, 19],\n [12, 18, -15, 9, 1, 6, -2, -11, -15, 5],\n [-18, -18, -15, -11, 17, -8, 17, -9, 6, -13],\n [-16, 15, 17, 9, 16, 8, 1, -7, -11, -10],\n [14, 2, -13, 0, 16, 7, 10, 7, 6, 19]]\nB =\n[[0, -12, 8, -6, 12, 16, 15, 7, -11],\n [2, 7, 13, -16, -3, -15, 2, 7, 20],\n [-8, 4, -14, -19, -5, -19, 15, -19, 17],\n [-11, -7, 6, -6, 0, -9, 12, 19, 1],\n [17, -3, -19, 8, -14, 10, 20, -3, -12],\n [-13, 12, -16, -7, -8, -10, -1, 2, 6],\n [-6, 9, -5, 19, -3, 2, 15, 17, -13],\n [18, 8, -9, -3, -2, 15, 12, -16, 18],\n [7, 5, 0, 2, 0, -10, 18, -5, 12],\n [6, -20, -5, -16, -3, 20, 13, 4, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35356", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -17, -17, 4, 20, -8, 4, -18, 14, -12],\n [-7, 1, -12, 3, 2, 16, -6, 15, -7, -1],\n [18, 15, 6, -4, 5, 20, -17, -18, -2, 20],\n [19, 18, -14, 15, -2, -9, -1, 17, -9, 8],\n [9, -1, -17, -19, 9, 2, -15, -3, 1, 16],\n [-17, -10, 20, 14, -10, 13, -12, 10, 11, 14],\n [-10, -4, 15, -19, 3, -6, 7, -18, 8, -8],\n [1, 10, -14, 5, 10, 17, 17, -17, 14, 12],\n [-18, -2, -12, -2, -2, 5, -8, 1, -13, 3],\n [5, 20, 20, -18, -14, -19, 12, -9, -9, -11]]\nB =\n[[20, 6, -3, -17, 19, 2, 0, 15, 9, 0],\n [2, 0, -13, 18, -8, 19, 1, -14, 3, -16],\n [5, -11, -10, 19, 17, -10, 9, -17, -19, -8],\n [18, -4, 2, -11, -8, 18, 8, -5, -18, 15],\n [-17, 15, -5, 20, -15, 7, 15, 2, -9, 10],\n [-9, 11, 4, 8, -2, 1, 3, 12, 15, 19],\n [-5, -19, -13, -8, 9, -20, -9, -14, -7, 14],\n [7, -9, 19, 3, -20, -4, 17, 7, 12, 3],\n [-15, 0, -17, 12, -11, 15, -8, 15, -12, 10],\n [-17, -1, -13, 6, 15, -12, 3, 16, 20, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3525", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 8) of the result:\nA =\n[[9, 5, -17, -20, -1, 7, 3, 7, 7, -16],\n [11, 9, 0, -5, -13, -9, 11, 4, -18, 5],\n [15, -4, 6, 1, 17, 14, -14, -18, -15, -8],\n [-6, 5, 12, -6, 18, 20, -7, -2, 7, 3],\n [20, 12, -9, -11, -14, -20, -6, -20, -1, -19],\n [-18, 15, -5, 8, 15, 18, -18, 16, -9, -1],\n [2, 1, 11, -14, 1, -19, -7, -5, 3, -14],\n [-17, 16, 20, -16, -19, -16, -18, -13, 5, -11],\n [13, 15, -9, -1, 8, -7, -16, 6, -17, 8],\n [-18, 12, 9, 15, -12, -20, 2, -18, 11, 3]]\nB =\n[[-15, -8, -6, 9, -9, 19, 14, 7, -17, -14],\n [-5, 1, 20, 4, -18, 1, 10, 16, 1, 6],\n [-19, 1, -4, -1, 3, 10, -13, -16, -19, -17],\n [14, 13, -18, -1, -12, -15, -16, 20, 17, 14],\n [10, -8, 5, 1, 11, -6, -10, -5, -15, -10],\n [-11, -5, -9, -14, 18, 6, 3, -6, -15, -2],\n [-13, 15, -8, 12, 11, 7, 19, -11, 12, -20],\n [0, -16, -20, 0, 4, -1, -12, -5, 7, 19],\n [15, 18, 3, -5, -7, 13, 3, -10, 15, -20],\n [-9, 0, -12, 18, -18, -5, -17, 5, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 6, -19, -11, 4, -2, -6, 18, 3],\n [-5, -4, -5, -3, -17, -19, 10, -19, -19],\n [-6, 8, 13, 19, 11, 0, 9, 3, -7],\n [7, -7, 13, -7, 4, -9, 20, 19, -1],\n [-14, -6, -12, -17, 10, 2, -15, 7, -9],\n [1, 3, 13, -2, 3, -1, 13, 6, 8],\n [-20, 15, 18, -14, -1, -1, 4, 0, -12],\n [6, 7, 4, 15, 13, -19, -12, -2, -6],\n [0, -5, -19, 5, 8, 12, 13, 6, -14]]\nB =\n[[-6, -4, -12, -8, 11, -19, 11, -1, -2],\n [6, 15, 9, -10, -5, 5, 9, -19, 13],\n [20, 1, 10, 0, 15, 19, 2, 5, -3],\n [-6, 13, 1, 7, -14, 19, 3, 14, -8],\n [-8, 10, -2, 8, 1, 20, 0, -5, 9],\n [-16, 20, 20, -15, 0, -10, 3, 7, -6],\n [18, 19, -2, -4, -18, -18, 18, 7, 10],\n [-13, -4, 14, 15, 6, 19, 12, -10, 0],\n [-15, 0, 7, -4, -3, -10, 4, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22908", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 7) when matrix A is multiplied by matrix B?\nA =\n[[-14, 16, 6, 5, -8, 3, -9, -7, -12],\n [10, -17, -2, -20, 8, -15, -20, 4, 6],\n [1, -4, 8, -18, -4, -19, 11, 1, 18],\n [12, 1, -17, 17, -8, 2, -8, -1, 12],\n [13, 17, 8, 11, -10, -3, 0, -9, 18],\n [-1, -14, 6, -14, -19, 12, 0, 8, 11],\n [-9, -8, 18, 19, -18, 18, -13, -19, -15],\n [20, -6, -9, 20, 11, -15, 6, -8, 2],\n [-11, -7, -18, -9, 4, -20, 11, 3, -12],\n [-20, 18, -11, 20, 9, -16, -17, -13, -5]]\nB =\n[[-20, -6, 3, -6, -15, -19, -16, 18, 20],\n [13, 18, 11, 8, 8, 3, 10, 3, -6],\n [-9, -1, -17, -8, 20, -11, 20, 2, -14],\n [-9, -6, -14, -13, -14, -17, -14, 20, 9],\n [-3, 9, -14, 2, 16, -14, 17, 8, 13],\n [18, 20, -3, 4, 6, 6, -9, 2, -4],\n [-14, 3, -14, 8, 7, 2, -11, -5, 13],\n [4, -19, -16, -7, 10, 19, -15, 7, -12],\n [-15, -4, 19, 14, -9, -3, 13, -20, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-3, 1, -3, -20, -1, 15, 17, 4, -5],\n [-1, 17, 12, -14, 2, -10, 12, 19, -16],\n [20, -13, -4, -3, 6, 10, -17, -19, -16],\n [-4, 18, 11, 8, -5, -20, -9, -2, -12],\n [-14, 9, -6, -17, -15, 17, 14, -19, -16],\n [-13, 9, -2, 9, 10, -5, 17, 1, 12],\n [1, -13, 16, -9, -16, 4, 8, -8, 5],\n [1, 8, -9, 7, -12, -11, 5, 15, 19],\n [-10, -15, -17, 6, 3, -16, -18, -14, 3],\n [1, -9, 14, -4, -18, -10, -15, 15, -4]]\nB =\n[[1, -20, -18, -5, 14, -7, -14, 5, 10, 3],\n [-2, 16, -20, 4, -11, -3, -20, 8, -8, -17],\n [-9, -2, 5, 17, -5, 4, -11, 16, 7, 7],\n [4, 4, -9, -13, 15, 18, 3, 2, 16, -10],\n [-4, 7, -18, -19, 8, 13, -7, 12, -3, 8],\n [-19, -10, 10, -8, 5, 13, -11, -9, 1, 10],\n [-2, 3, 4, 14, -13, -16, 1, 7, -9, 12],\n [-5, 5, -9, 2, 5, 20, -8, 2, 10, 15],\n [6, 15, 2, 17, -18, 9, 11, -6, 17, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-19, 5, 13, -20, -10, -16, 5, -15, 14, -16],\n [-12, 7, -2, -16, 2, -5, -14, -7, 1, -12],\n [2, -17, 5, 20, -15, 10, -4, -12, 6, -15],\n [-15, -17, -18, 3, -3, 11, 0, 8, 11, 4],\n [-9, -12, -14, -7, -1, -1, -11, -10, 18, -2],\n [-2, -15, -13, -20, 2, 19, 16, -11, -19, 15],\n [-19, -6, -1, 0, 9, 3, -19, 17, 1, 8],\n [-7, -16, 3, 5, -19, 13, 2, 20, 14, -6],\n [-18, -9, 17, -4, 17, 6, -2, 0, 19, 3]]\nB =\n[[3, -2, 10, 19, -1, -6, 19, 14, 14],\n [12, 19, 20, -3, -4, -13, -1, -10, 9],\n [6, 18, -7, -6, -9, -1, -4, 19, 5],\n [-7, 4, 5, 4, 4, 6, -9, -1, -5],\n [4, 6, -3, -11, 9, -20, -17, 2, -14],\n [9, 5, -20, 8, 4, 19, 5, -4, 10],\n [-13, -16, -20, -6, 15, -14, 6, 14, 6],\n [-1, -3, 19, -19, 9, 17, 9, -14, 18],\n [-8, 12, 19, 9, 9, 2, 3, -1, 7],\n [-2, -8, -5, -6, -10, -9, 1, 4, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2368", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 4, -12, 7, 9, -14, -10, -11, -18],\n [-2, -19, -4, 8, -19, -5, -11, -17, 5],\n [3, -9, 0, -5, 15, 14, -12, -15, -20],\n [-7, 3, -11, -3, -12, 6, -2, 15, -18],\n [17, -12, -11, -12, -4, 17, -1, -14, -17],\n [-11, 0, -7, 4, -4, 7, -7, -8, 13],\n [20, -18, -17, -6, -1, -13, -16, -19, 7],\n [1, -12, 7, -20, 15, -19, 17, 5, 10],\n [20, -2, 10, -12, -18, 17, -15, -14, 20],\n [4, 4, -20, 1, -1, -8, 19, 0, 2]]\nB =\n[[20, 12, -12, 8, 11, -10, 15, 8, 10, -7],\n [4, 5, 1, -12, 12, 2, 14, -1, 12, 14],\n [9, 9, 1, -20, -6, 4, -1, -14, -5, 2],\n [0, -20, -1, -2, -15, 17, 11, -20, 9, -5],\n [6, -3, -8, 7, -11, -7, 8, -10, 6, -4],\n [-18, 10, 0, 12, -20, -15, -17, 1, -8, 9],\n [19, 5, 18, 18, -14, -7, 5, -3, 3, 4],\n [11, -15, -5, -18, 0, 11, -19, -1, -10, -3],\n [-10, 14, 15, 17, -9, 10, 15, 9, -17, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-395", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, 5, 8, 15, 7, -13, -16, 11, 9, -7],\n [-11, -11, -15, -5, 5, 0, 15, 20, 9, -16],\n [-11, 10, -10, 17, -14, -9, 20, -13, 7, -5],\n [-18, 16, 11, 0, -3, -10, -13, -9, -19, 20],\n [1, -12, -7, -6, -10, -8, 7, 4, 16, -15],\n [16, 12, 4, 2, -13, -4, 10, 5, -10, 9],\n [-10, -18, 19, 19, 0, 14, 7, 1, -3, 2],\n [5, 14, 8, -10, -20, -5, 4, 17, -3, -5],\n [-2, -5, -16, 6, -15, 13, -5, 2, 11, 2]]\nB =\n[[-1, -2, 8, -13, 8, -3, -16, -9, -11],\n [16, -4, 11, -17, 10, 5, -9, -3, -13],\n [11, -1, 19, -8, 2, -18, 14, 18, 0],\n [-14, 5, 2, 11, -19, 18, -19, 18, -6],\n [-5, 5, -13, -5, 0, 18, -10, 3, 15],\n [-3, 2, -8, 18, -20, -14, 0, -5, -7],\n [-19, 10, 18, -12, 20, -7, -11, 3, 12],\n [13, -1, 7, -17, 13, -17, -15, 1, -17],\n [-16, -10, 14, -2, -10, -10, 6, -19, -13],\n [13, 19, -1, 2, -6, -8, 10, -7, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 12, 14, -6, -16, 16, -17, -1, 18, 1],\n [3, -10, -15, 6, -11, 18, -11, 5, 16, 12],\n [-13, 7, 15, 19, 4, 15, -8, -14, -20, -12],\n [7, 15, 9, -12, 9, 14, 6, 8, -16, -20],\n [-16, 8, -4, 16, 3, 6, -12, 17, -8, 5],\n [-10, 3, 12, -15, 14, -5, -8, -10, 2, -19],\n [9, -2, 19, -6, 12, 20, -16, 1, 6, 14],\n [-2, 18, -14, 18, 13, 13, 6, -16, -17, -14],\n [-18, 0, 13, -12, -1, 19, -9, 18, 7, 12],\n [-11, -10, -14, -3, -2, -7, -4, 2, -2, -18]]\nB =\n[[13, 4, 20, 10, 18, -7, 16, -1, 11, 12],\n [10, -14, -16, -17, -10, -2, 17, -1, 6, 8],\n [-3, 16, 4, -1, -15, 15, -6, -3, 17, 4],\n [-1, 1, -9, 20, 19, 12, 8, -19, 5, 11],\n [-18, 9, -2, -11, 4, -2, 0, -15, -7, -13],\n [-19, -3, 1, 9, 15, 7, 14, -19, 15, -3],\n [-12, 7, -13, -13, -16, -8, -14, 0, 8, 16],\n [-7, 16, -17, 1, -10, 13, -5, -12, -5, 18],\n [-5, 10, 10, -8, -16, 18, -3, -1, -19, 19],\n [9, -11, -10, 8, 19, -5, 7, -4, 17, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -14, 9, 15, 5, -10, -15, 8, 7, -6],\n [8, -15, -9, -5, 17, -12, 1, 12, 5, 19],\n [-14, 11, 19, 3, 20, 18, 17, 16, -2, -16],\n [9, 4, 9, 4, -12, 6, 3, 19, 17, -6],\n [17, 5, 9, -10, 8, -6, -12, 8, -6, -4],\n [-5, 1, 19, -10, 17, 4, 9, -19, -20, 17],\n [16, -12, -16, 3, 6, 9, -6, -12, 16, 9],\n [-6, -1, 4, -12, 1, -8, 16, 7, -7, 9],\n [18, -16, -9, 14, 20, -20, -20, -1, 13, 13]]\nB =\n[[3, 7, -10, -13, 14, 20, -5, -5, -15],\n [-1, -10, -13, -1, 11, 12, -15, 7, -13],\n [-7, -18, -19, 1, 12, 0, -15, 19, -14],\n [-15, -13, 3, 6, 7, -16, -2, -12, 4],\n [-8, 16, -19, 19, -7, 10, -15, 4, 18],\n [10, 17, -5, 6, 9, -17, 18, -5, 15],\n [-14, 0, -19, -13, 6, -19, -15, -17, 0],\n [-20, 17, -9, 6, -7, -6, 3, -3, -4],\n [-12, -3, -3, -16, -12, 14, -20, 20, -12],\n [11, -1, -8, 19, -10, 5, 19, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1280", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[19, 4, -1, -10, -11, -18, 18, 6, 14],\n [19, 10, 0, 1, -2, -7, 16, 2, 5],\n [19, -9, -20, 13, -2, 2, -14, -14, -20],\n [-3, -13, 4, 8, 2, 8, -20, -6, -6],\n [7, 15, 19, 11, -8, 0, 18, 17, -12],\n [-1, -1, -13, -7, -1, 14, 0, 20, 20],\n [1, -15, 6, -17, -17, 7, 6, -4, 18],\n [17, 8, 19, -14, -13, 20, 12, 11, 14],\n [-3, -5, -3, 17, 4, 13, -17, -16, -7]]\nB =\n[[-20, 1, 0, -8, 15, 8, 17, -12, 12, 1],\n [-4, 2, 15, -15, 18, 8, 6, -16, -12, 3],\n [-2, 12, 9, 19, -17, 11, -20, 13, 0, 10],\n [-7, 5, 1, 13, 12, -8, 11, -13, 1, 20],\n [-1, 0, 13, 9, -15, 14, 6, -1, 17, 19],\n [-7, -11, -6, 19, -18, -6, 10, -10, 18, -2],\n [-6, 17, -1, 1, -14, -7, -17, -12, 18, 4],\n [14, 16, 6, 7, 3, 12, 12, -5, 2, -10],\n [19, -2, 13, 2, -11, 16, -20, -19, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31965", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 10) of the result:\nA =\n[[3, 0, 19, 8, -7, -13, 9, 1, 2],\n [19, -8, 7, 9, -16, -11, 18, -12, -7],\n [17, -11, 12, -10, 19, -15, -4, 15, -15],\n [-11, -16, -2, -14, 3, -2, -10, -18, 9],\n [17, -15, 14, 1, -10, -13, 6, 8, -13],\n [2, 8, -5, 14, -13, -13, 12, -16, 16],\n [-4, 1, -7, 17, 11, -7, -1, 1, 9],\n [12, -16, -3, -14, 8, -12, 20, -14, -14],\n [-15, 19, 6, -17, -20, -15, 10, -20, -16],\n [-2, -16, -16, 10, -14, -6, -8, -9, -2]]\nB =\n[[-8, 6, 17, 12, -15, -8, -8, -8, -1, 15],\n [16, -12, -4, 14, -3, 4, -6, 2, -20, 20],\n [17, -3, -20, 18, -11, 10, 17, -14, 17, -13],\n [13, -12, 4, 6, 20, -14, 11, -12, -4, 14],\n [-5, -19, 10, -5, 12, 0, -4, 14, -14, 8],\n [-10, 9, -3, -5, -15, -19, -11, -17, -11, -12],\n [3, -16, 14, -17, 14, -8, 16, 11, -20, -10],\n [5, -18, -8, 11, 2, 2, 9, -15, -14, 9],\n [16, 11, -15, 14, 11, -9, -17, 11, 14, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 20, -19, -15, -7, 20, 8, 5, -3],\n [-17, 16, 17, 4, 8, 13, -5, 16, 9],\n [2, 15, 7, -20, -13, -6, 13, -2, 9],\n [-11, 6, -1, 4, -12, 19, 13, 0, 3],\n [-14, -17, -13, -8, 0, 14, -16, -13, -19],\n [3, -5, -17, 9, 9, 14, -8, 16, -10],\n [-2, -3, -4, -10, -6, -13, 8, -4, 5],\n [-16, -17, 3, -10, 9, 19, 14, 12, 15],\n [0, 17, -16, -16, 0, 4, -11, -2, 11]]\nB =\n[[-3, 13, -6, 3, -16, 11, -12, -16, -16],\n [20, 20, 13, -14, 5, -20, 13, 5, 11],\n [-9, -15, -1, -2, -5, -17, 11, -3, -16],\n [-15, -7, -3, -11, 2, -3, -17, 11, -15],\n [5, -15, 14, 20, -16, -7, -19, 19, -8],\n [-16, 15, 15, -2, -1, 1, 10, 20, -17],\n [-18, 16, 4, 16, -17, 18, -14, -14, 4],\n [-6, -14, -17, 13, -2, 17, 6, -16, -8],\n [-7, 9, -11, 11, -20, 3, 8, -14, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11433", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 9, 4, 7, 15, -14, 14, -1, -7, 9],\n [-20, 17, 20, 4, 13, -13, -1, 9, -17, 0],\n [6, -11, 2, 12, -10, 20, -2, -10, -17, 2],\n [-16, -16, -3, -4, -18, -13, 19, 2, 2, -19],\n [18, 0, 3, 17, -1, 18, 6, 18, -14, 12],\n [8, -11, -11, -9, -18, -18, -8, 10, 6, -15],\n [6, 14, -12, -15, -15, 19, 5, -2, -5, 20],\n [2, -10, -5, 8, 17, -1, 0, 7, 12, 19],\n [5, -11, 13, -12, 15, -10, -11, -14, 17, -5],\n [5, 11, 10, 11, -9, 6, 1, -6, -13, -17]]\nB =\n[[-13, 2, -5, 13, 1, 2, -16, 16, -14, 16],\n [5, 7, -17, 11, 17, -12, 15, 5, -10, -1],\n [17, -6, 14, -12, 12, -10, 1, -15, 16, 0],\n [-9, -14, -19, 18, 20, 3, 5, 4, -1, 19],\n [20, -19, 14, 12, -4, 1, -20, 16, 9, -15],\n [20, -7, 15, 12, 17, 18, -15, 5, 3, 12],\n [-13, 13, 13, 3, -19, -13, 4, 9, 11, 9],\n [-14, 3, -12, -5, -19, 14, 13, 1, -2, 0],\n [-9, -10, -2, -15, -7, 12, 17, -8, 5, -7],\n [3, -20, 9, -11, -11, 7, -17, -7, -9, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38771", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[16, -11, 20, 6, -9, 1, -17, 8, 15, -7],\n [-9, -1, 2, 1, 13, 0, -12, -11, -11, 9],\n [12, -19, 11, -4, 7, -4, -7, -11, 13, -7],\n [-4, 16, 1, -3, 14, -3, 9, 16, 19, -15],\n [-6, 14, 5, 20, 6, 9, -10, 3, -7, 2],\n [-12, -3, 18, -2, -16, -3, 12, 17, -8, -12],\n [5, -20, -9, 3, -20, -17, -14, 7, 16, -16],\n [18, 11, 10, -6, -18, -6, -3, 0, -11, 0],\n [5, 20, -18, -20, 0, -10, -5, 14, 0, 20],\n [-10, 10, -20, 20, 11, -18, 11, -16, 16, -9]]\nB =\n[[-7, -12, -14, -5, 7, -14, -7, 11, -13],\n [6, -18, 6, 9, 13, 5, 16, 19, 1],\n [11, 20, -19, -13, -14, -2, 12, -19, -18],\n [7, -7, -6, 0, -7, 19, -3, 18, -1],\n [-20, -12, -12, 17, 18, 8, -6, -1, 17],\n [20, 9, 5, -15, 18, -4, -15, 7, -12],\n [6, 14, -15, -17, -5, 2, 2, 8, 20],\n [-17, 19, 19, 3, -15, 19, -15, -7, -7],\n [14, -15, 2, -1, -4, -1, -15, 19, 7],\n [-8, 8, -1, -4, 14, 18, 16, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2937", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -1, -14, 15, -20, 16, 14, 20, -18],\n [14, 8, -12, 16, 4, -9, 17, -14, -14],\n [-17, 10, 18, -11, 2, 5, 2, 8, -13],\n [-2, 8, -15, 8, 3, -11, -7, -15, -17],\n [-6, 16, 18, 7, -19, -8, -19, 20, 11],\n [-16, -18, -19, -7, 19, 8, 17, -15, 13],\n [-13, -19, 5, -4, 3, 10, -5, 0, 17],\n [5, -4, -17, -17, -2, 17, 4, -13, -3],\n [-3, -14, -4, -18, 1, -6, 10, 15, 5],\n [-7, -4, -12, -14, 6, 7, -9, -4, -12]]\nB =\n[[-13, 6, -9, 16, -1, -20, -12, 3, 13, 15],\n [-17, 8, 2, 14, -5, -13, 6, 18, -9, -17],\n [4, -15, -18, 18, 3, 0, -15, 12, -13, 12],\n [-18, -19, 17, 19, 18, 18, 3, 0, -3, 14],\n [-10, -10, -18, 2, -20, 2, 1, 9, -19, -4],\n [20, -1, -12, -10, -4, -7, -3, -3, -13, 8],\n [-13, 5, 7, -13, -1, -13, -7, -8, 19, -4],\n [5, -15, -4, -17, 4, -14, -4, 1, 7, -15],\n [9, -11, 18, -7, 1, 20, 5, -11, -19, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37954", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -11, -9, -7, 9, 20, -8, 9, 17],\n [-10, -20, 6, 18, 16, -12, 5, 4, -4],\n [-15, -6, -18, 10, 7, -12, -3, 19, 11],\n [-2, -16, -15, -9, -4, 18, -14, -10, 13],\n [-19, -7, -3, -12, 18, -17, -7, -10, 9],\n [19, 6, 8, 11, 9, 5, 9, -11, -9],\n [12, 13, -3, 18, -5, -17, -11, 7, 20],\n [-3, -12, 1, -11, 19, 2, -8, 3, -8],\n [4, 8, -5, 19, -15, -13, 13, -3, 11]]\nB =\n[[-11, 13, 2, -2, -1, 13, 17, -4, -16, -19],\n [20, 13, -1, -19, 7, -3, 18, 14, -6, 18],\n [19, 18, -18, -2, 2, -2, -3, 9, 18, -2],\n [-16, -8, 13, 3, -3, -17, 15, -13, -20, 20],\n [17, 15, 17, -8, 1, 8, -12, 6, -17, 19],\n [-4, 16, -18, -17, 19, -5, -10, 6, 5, 10],\n [13, -13, 18, -20, -19, 6, -18, 13, -5, -20],\n [-14, 14, 1, 11, 5, -15, -10, 10, 0, 1],\n [-20, 0, -1, -12, 6, 8, 12, -20, -18, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3501", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, 16, 17, -11, 8, 11, -8, 10, -17],\n [-3, -10, -3, 20, 16, 12, 16, -18, -20, -2],\n [-15, -11, 16, -9, -4, 6, -19, 4, 7, 16],\n [16, -4, -16, -2, -17, 18, 17, 9, 11, 16],\n [6, 11, -10, 20, -8, 14, -4, 9, -3, 16],\n [9, 5, -5, -10, -17, 20, -6, -9, 6, -17],\n [14, 0, 15, -19, 18, 7, 13, 12, -13, -13],\n [1, 6, 7, -10, 6, -20, 18, 7, 6, -13],\n [3, 19, 15, 3, 1, -11, -17, -13, 18, -6]]\nB =\n[[-13, 8, 18, 14, 20, -7, 11, -14, 12],\n [14, 6, -20, -15, -19, -14, -13, 8, -5],\n [8, 10, 1, -11, -17, 4, -8, -4, 19],\n [-13, 2, -14, 11, 3, -20, 15, 6, -15],\n [10, -9, 5, 4, -17, -15, -8, 4, 10],\n [1, 14, 0, -6, -18, 16, 5, -4, 17],\n [14, 20, -13, -10, 3, -13, 9, -20, 13],\n [-1, 15, 13, 13, -8, -15, 15, 4, 6],\n [10, -18, 7, -17, -4, 17, 13, -1, -8],\n [-16, 3, 17, -4, 10, 7, -20, -19, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1707", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[19, 8, -17, -3, 3, 11, -12, -5, 0, 9],\n [-18, 12, 10, -7, -15, -16, 8, 16, 15, 0],\n [-9, 2, -7, -11, 6, 20, -19, -7, -14, -4],\n [-1, -13, -1, 15, -16, -8, 18, 17, -4, -15],\n [-2, 4, -18, 20, 7, 5, -13, -6, -20, 19],\n [2, 15, -5, -17, -13, 15, -11, 9, 15, -5],\n [9, -11, -10, 13, -5, -2, -17, 10, 14, 13],\n [5, 18, -15, 12, 6, -9, -13, -12, -20, -16],\n [-14, -3, 19, 3, 5, -11, 19, -9, 1, 6],\n [-18, -3, -16, -7, 4, 10, 0, 17, -1, -7]]\nB =\n[[-1, 16, 9, 20, -1, -14, -16, 10, 8],\n [-6, 4, -8, 3, -6, 3, 5, -2, 3],\n [-2, -4, -16, -17, 1, -11, 0, 4, -15],\n [9, 8, -10, -10, 6, -2, 1, 7, -17],\n [16, -2, -4, 19, 15, 2, 7, -10, -7],\n [-8, 3, -5, 7, 9, 20, 18, 6, -4],\n [5, -14, 14, -6, -5, 0, -4, 5, 14],\n [-1, -1, 2, -16, -12, 2, -3, 8, -10],\n [-13, 6, -19, 2, 0, -11, 17, -17, 0],\n [16, -9, -7, -1, -13, 6, 16, 20, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1745", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[14, 18, -6, -9, 13, -13, 16, 9, -18],\n [9, 8, -20, -5, 10, -11, 9, 5, -9],\n [19, -16, -12, -10, 2, -4, -8, -4, 2],\n [18, -12, -3, -3, 9, 5, -3, 0, 20],\n [20, 12, -7, -11, 7, -7, -2, 5, -11],\n [-4, 13, -7, 5, 13, -2, 3, 10, 19],\n [-15, -1, 18, 13, 1, -14, 12, -15, -5],\n [-13, 2, -3, -7, 15, -6, -16, -6, -10],\n [-19, 2, 3, -3, -17, -6, -9, -18, 11],\n [15, 0, -15, -19, -12, -9, 3, -7, 20]]\nB =\n[[-9, 6, -11, -19, 10, 7, -5, -20, 1],\n [-20, 10, 1, 13, -9, 2, 7, -9, 6],\n [2, -20, -19, 10, -19, 4, 17, -2, 7],\n [-15, 18, -2, -4, -15, -6, 1, 20, 13],\n [-16, 2, -16, -11, -17, -9, -11, 9, 3],\n [-16, -8, 15, -12, -3, 14, 10, 3, -17],\n [20, 5, -11, 20, -12, -20, -5, -8, 17],\n [-7, 19, 2, -3, 7, -1, -20, -9, 6],\n [-8, -17, 4, -15, 1, 17, 15, -18, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34639", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 13, 6, 2, -4, 2, 13, 0, 12],\n [-16, -4, -20, -14, -18, 5, -5, -5, 20],\n [-7, 5, 6, -4, -17, -4, 12, 9, 0],\n [-4, -10, 9, -3, -1, 13, 20, 7, -12],\n [10, -5, 10, 8, -8, 2, -7, 18, -19],\n [-9, 7, 11, 3, 16, 8, -3, -18, -8],\n [-8, 8, -19, 7, -17, -16, 18, 20, -16],\n [-13, 13, 4, 6, -14, 15, 11, 0, -3],\n [-19, -16, 17, 7, 10, 3, 12, 18, -9],\n [18, -12, -6, 2, 1, 15, -11, 7, 14]]\nB =\n[[8, -16, -17, -6, 9, 5, 2, 18, 8, 1],\n [14, -3, 14, 12, -14, 13, -11, 3, 4, 6],\n [-15, -13, 0, 20, -2, 13, 18, 2, -8, 18],\n [7, -15, -9, -18, -1, 20, -13, 5, 17, 7],\n [14, 20, 20, 17, -19, -14, 20, 4, 11, -9],\n [-10, -11, 14, -17, -19, 7, -7, 8, -19, 13],\n [12, -1, 9, 5, -1, -20, -20, 4, 12, 2],\n [-10, -6, -7, -20, 12, -15, 2, 5, -18, -15],\n [19, 4, -4, 7, 11, 8, 2, 20, -5, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10676", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 7) of the product matrix AB given:\nA =\n[[5, 12, -2, 20, -4, 17, -7, -3, 0, 18],\n [18, 7, -1, -15, 5, -15, 18, 5, -4, 19],\n [-19, 0, -14, -1, -18, 15, -2, 9, -10, -8],\n [12, 17, -19, 2, -1, 9, -6, -19, 9, 4],\n [-17, -20, -13, -7, -10, 3, 3, 11, 4, 7],\n [-5, 18, -5, 15, -9, -9, 13, 17, -1, -6],\n [1, -5, 3, -18, -20, 17, -4, 20, 0, -8],\n [-19, -19, 4, 7, 5, 14, 7, 12, -3, -7],\n [20, -12, 9, -18, 13, 12, 6, -12, -8, 9]]\nB =\n[[-5, 5, -16, 6, -6, 7, -18, 20, -20],\n [-20, -15, -10, -5, 12, 3, 11, -11, 4],\n [-11, -8, -20, 14, -7, 0, 17, -20, -1],\n [-16, 19, 11, -20, 20, 19, -19, 10, 5],\n [-12, 9, -13, -16, 18, -17, 19, 15, 0],\n [12, 5, 19, 18, -10, 0, 1, 16, -14],\n [-8, -1, -6, 17, 13, 15, 4, 8, 7],\n [-7, -17, 17, -14, -8, -4, 8, -4, 15],\n [-2, 5, -12, -19, -1, 2, -3, 5, 4],\n [-4, 18, -11, 4, 7, 5, -9, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -4, -6, 0, 17, 9, -2, 11, 8],\n [1, -1, 17, 17, 15, -20, -2, 5, -14],\n [13, 15, -15, 16, 1, -12, 8, -4, -8],\n [-4, -11, 4, -3, -6, 6, -2, -6, -14],\n [19, -5, 3, 2, -10, 3, -16, 18, 9],\n [-5, -1, 8, -4, -2, 5, -6, 4, -6],\n [-1, 9, 0, 14, -15, 16, -10, 2, 18],\n [-12, -3, 15, 19, 15, 7, -2, 9, 17],\n [-6, -9, -19, -12, 14, -20, 10, 7, 16],\n [-14, -5, -7, 12, -15, 0, -11, 11, -15]]\nB =\n[[-19, 18, 6, -7, 2, 18, 0, 20, 9, 4],\n [3, -10, 14, -17, 16, 15, -8, -12, 7, -5],\n [-15, 6, -11, 2, 0, 5, -18, 14, -14, 6],\n [12, -17, 5, -13, -1, -4, -16, -12, -13, -14],\n [16, 15, -18, -13, -16, -16, -4, 6, 19, 18],\n [-9, 7, -17, 7, 4, 15, -18, 10, 16, -9],\n [16, 16, -17, 9, 17, 17, 6, 1, -20, 17],\n [-1, -3, -15, -9, -4, 1, -3, -11, 3, -1],\n [-9, -17, -16, 5, 15, -5, -16, 5, -2, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10354", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 10, 10, -14, -11, 18, 1, -7, 7, 1],\n [11, -10, -7, 10, -17, 1, 8, 14, -8, -1],\n [-2, -6, 5, -1, 15, -15, -6, -17, -15, -19],\n [15, -6, -9, 19, 20, -14, 1, -13, -10, -19],\n [9, -17, 4, 0, 4, -12, -13, -16, 7, -19],\n [0, -13, 13, 2, -6, 6, -19, 7, -10, 0],\n [11, 11, -14, 1, -7, -8, 0, 1, 13, -11],\n [-20, -20, 3, -18, 10, 20, -8, -17, 2, -15],\n [13, 20, -3, 15, 5, 12, 12, 4, -4, -18]]\nB =\n[[1, 14, -17, 7, -8, 9, -9, -18, 0, 19],\n [-20, -3, -8, -14, -8, -4, 11, 8, 9, -10],\n [-7, -11, -13, 10, -15, -2, -2, -9, 18, -3],\n [-18, -12, -15, -20, 19, 8, 14, 14, 9, 14],\n [18, 1, 7, -3, 11, -16, 13, 10, 12, -17],\n [-7, -6, -1, -1, 14, -17, -3, 3, 6, 12],\n [4, -16, -3, -1, 14, -15, 6, 7, -10, -12],\n [7, -2, 18, 0, 10, -14, 16, 4, 7, 15],\n [-4, 5, 7, 16, -4, -4, 12, 13, 2, 9],\n [6, -12, -1, 2, -2, 16, -17, -8, 17, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-477", "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, 0, -6, -16, -16, 4, 3, 16],\n [10, 13, 20, -7, 6, -17, 2, 17, -16],\n [6, -7, -14, -3, 11, -19, 20, -1, 8],\n [5, 17, -20, -16, -7, 4, -12, 9, -2],\n [19, -13, -5, -13, 2, -12, 11, 16, 13],\n [-3, -6, -6, 8, 2, 2, -20, 1, -14],\n [11, 7, 11, 12, -8, 7, -12, -18, -4],\n [13, 11, -12, 20, -20, -1, -16, 19, 0],\n [-16, -17, -13, 4, -14, 16, 11, -4, 7]]\nB =\n[[-15, 15, -19, 10, -20, -18, -8, 10, 8, 12],\n [-11, 17, -12, -20, 16, 11, 12, -19, -19, -16],\n [-11, 17, 16, -19, 20, 19, 4, 17, 16, -3],\n [6, -1, 13, -13, -17, 9, 15, -12, 20, -9],\n [-7, 14, -15, 2, -17, -20, -12, -12, -6, 3],\n [-13, 7, -4, 14, 10, -17, -7, 4, 19, -14],\n [10, 14, 17, -1, -5, 1, 15, -2, -19, -17],\n [13, -14, -7, 11, -4, 16, -7, -4, 11, -19],\n [18, -17, 19, 9, 9, 12, -20, 12, 15, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33749", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[16, -7, -15, -14, 19, 3, -17, 4, -18, 7],\n [2, 15, -8, 1, 4, 3, 16, 12, -7, 3],\n [1, 16, 2, -15, -2, -9, 5, 8, -7, -4],\n [9, -14, 0, -20, 17, -17, -13, -3, -13, 10],\n [10, 7, 16, -18, -6, -17, 14, 13, 15, -15],\n [-17, 9, 18, -3, 1, -11, 8, 2, -17, -2],\n [5, -14, -8, -18, 19, -10, -5, -1, 2, 2],\n [11, 20, 17, -18, -13, 17, 19, -7, -13, -10],\n [12, -6, 16, -7, 5, -13, -17, 15, -3, 6],\n [-2, -18, -12, 18, -19, -12, -15, 17, 7, 13]]\nB =\n[[8, -18, -5, 14, -10, 2, 9, -16, -13, -11],\n [7, 15, -11, -7, 17, 16, -16, -15, 9, -2],\n [-7, -10, -16, 10, 11, 3, -11, -8, -8, 15],\n [1, -12, -2, -14, -6, -4, -7, 20, -19, -7],\n [-17, -18, -18, -10, -16, 8, 7, 2, 9, 2],\n [20, 1, -9, 6, 19, -6, 2, 20, -2, -10],\n [17, 19, -18, -5, 11, 17, -12, 20, 17, -16],\n [-20, 14, 14, -9, 15, 0, -13, 6, -12, 7],\n [9, -7, 2, 8, 5, 1, -6, -12, 5, -4],\n [-12, -18, -5, -8, 5, -4, 11, 3, 15, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "986", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-12, 1, 20, -1, -18, 15, 12, -3, 15],\n [-11, 15, 0, 4, 19, -12, 6, -6, 11],\n [18, -5, 7, -15, -15, 17, -19, 20, 19],\n [-14, 6, 7, -5, -12, -6, 13, -1, -7],\n [-10, 9, -18, -19, -7, 8, -16, -15, -13],\n [18, 18, 8, 18, 6, -5, 6, 18, 19],\n [-20, 12, 18, 6, -4, -6, 1, -2, 7],\n [2, 15, 18, -1, -12, 2, -14, 10, -10],\n [19, -4, 15, 5, 15, -3, 10, 14, 20]]\nB =\n[[7, 5, -15, 13, 7, -12, 8, 13, -9],\n [-5, -14, 10, 12, -14, -18, -1, -16, -18],\n [17, -6, 14, 2, 12, -19, 15, 0, -7],\n [-7, -10, -17, 9, 15, -1, -5, 13, -13],\n [-1, 0, 19, 9, 15, -16, 0, 17, 2],\n [-2, -11, 6, 14, -8, -12, -4, 10, 3],\n [-2, 9, -16, -13, 16, 15, 4, -16, 12],\n [1, 4, 8, 9, 9, 10, 13, 7, -11],\n [-17, 12, -4, -10, -14, -4, 7, -4, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1717", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, 5, -15, -4, -5, 18, 5, -17, -1],\n [20, -10, 2, 12, 10, -14, 1, -16, 16],\n [-20, -15, -17, 9, 9, -4, 3, 10, 7],\n [-17, 18, -2, 3, -14, -12, 1, -19, 6],\n [-5, -16, -9, 5, -6, -18, -12, 7, 18],\n [15, 4, 20, 7, 0, 8, 4, 9, 18],\n [-10, -2, -10, 4, -20, 11, 0, -8, 13],\n [-4, -2, -11, -12, -10, 17, 10, -19, 3],\n [-16, 9, 18, 14, -4, 10, -19, -5, 0],\n [9, -20, -7, -5, -12, -13, -12, 13, 12]]\nB =\n[[1, 9, -14, -3, 0, -16, -14, -9, -4],\n [3, 16, -2, -5, 4, 6, -14, -13, -6],\n [-5, -13, 15, 11, -4, 15, 1, 11, -10],\n [-15, 1, -7, 7, 18, -9, 6, -20, -11],\n [12, -5, 18, -15, 4, -1, 15, 2, -5],\n [-20, 9, 6, -19, 0, -12, 3, 20, 18],\n [-14, 9, -19, -9, -8, -18, 19, -3, 18],\n [-15, 6, -6, -6, -2, 17, -1, -1, -3],\n [13, 18, 16, 14, 17, 17, -20, -9, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4913", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 18, -1, 19, -2, 17, -6, -15, -12],\n [15, 2, -11, -20, -10, -1, 7, 1, -1],\n [17, -5, -19, 4, 6, -18, 2, 11, -4],\n [19, -1, 9, 7, 2, -2, 4, 3, -20],\n [7, 8, 14, -4, -10, 16, -14, 5, 2],\n [-3, 8, 18, 13, 17, -13, 0, 0, 15],\n [-4, -5, -6, -6, 19, -4, -20, -8, 17],\n [-11, 12, 5, -9, -2, -6, -16, -19, -7],\n [8, 20, -20, -8, 11, 13, -7, 17, 17],\n [20, -6, 18, -15, 8, 16, -2, -20, 0]]\nB =\n[[18, -3, 6, 7, -13, 10, -9, -15, 5],\n [-5, 9, -2, -3, 3, -1, -14, -14, -5],\n [-7, -9, 8, -6, -13, 18, -12, 7, 6],\n [-14, -7, -10, 11, 7, -15, 14, -15, 3],\n [-12, -19, 17, -7, 10, 9, 6, 15, 10],\n [-15, -3, -7, -1, -10, 16, 19, -17, -15],\n [2, -13, 9, 15, -10, -16, -18, -6, -19],\n [-19, -13, 9, 20, -16, 9, -11, 12, 3],\n [-2, 9, 4, -10, 14, -20, -4, 10, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2751", "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, 5, 15, -16, -7, -6, -9, -13, 10, 5],\n [8, -17, 7, 4, 19, 11, 15, -10, 16, -11],\n [17, 15, 6, -4, -14, -12, 14, -12, 15, 9],\n [10, -2, 20, 2, -1, -15, 3, 1, -15, 3],\n [1, -3, -5, 15, -8, 16, 3, -2, -1, 6],\n [-4, -5, -20, 0, 6, -20, 9, -1, 3, -19],\n [-6, 8, 14, -8, -2, -20, -5, -18, 19, -15],\n [10, -16, 5, 7, -6, -12, 1, 16, 0, 8],\n [5, -15, -10, 15, -1, -1, 6, -15, 12, 9]]\nB =\n[[13, -16, -5, -9, -9, -10, 0, -14, 13, 8],\n [-15, 15, 13, -13, 16, -11, -5, -19, -2, -14],\n [-19, 2, 10, -17, -5, -11, 0, 7, -9, -8],\n [19, -4, -3, -11, 7, -8, 13, -15, -9, 8],\n [-8, 5, -17, -6, -5, -2, 5, 11, -15, -15],\n [-16, -19, -19, 16, -18, -15, 10, -16, -11, 6],\n [3, 1, 4, -18, -5, 9, -17, 19, -5, 19],\n [20, -13, 3, -5, 6, -19, -1, -1, -1, -2],\n [-3, -8, -4, 12, 7, -16, 7, 4, -1, 0],\n [-8, -15, 8, -12, 8, 17, -20, 9, 11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29208", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[18, -11, 0, 5, -6, -4, 14, 4, -6],\n [12, -10, 3, -15, 7, 8, 0, -9, 1],\n [6, 0, -6, -3, -11, 1, -1, -2, 7],\n [16, -20, 13, 14, 5, 9, -9, -7, 18],\n [-17, -9, 3, 19, 10, -20, 16, -20, -6],\n [-8, 8, -17, -6, 19, -9, 4, 6, -15],\n [2, -6, 18, -16, 2, -6, 4, 9, -17],\n [-8, 19, 18, 2, -5, 14, -5, -14, -8],\n [8, 18, -1, 8, -3, 1, 15, 20, 15],\n [-13, -18, 8, -12, -13, 9, -9, 7, -11]]\nB =\n[[-8, -19, -20, 1, 12, -5, 8, -11, 18, -14],\n [-20, 5, -16, 14, -8, 6, -9, 9, 11, 10],\n [-16, 16, -19, 17, -14, -20, -18, -1, -19, 0],\n [11, -1, 10, 12, 3, -3, -1, 11, -16, -19],\n [5, 4, 1, 18, 1, -10, -10, -17, 12, -3],\n [10, 7, 1, 19, -18, -14, -1, -14, -14, 8],\n [5, 20, -18, -4, 19, -1, 13, 12, -5, 2],\n [-17, 20, 19, 12, -13, -16, 12, 4, -14, -14],\n [12, 20, 12, 8, 18, 20, 11, 16, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-19, -12, 8, 12, -11, 7, 18, -9, 1, -15],\n [19, 2, 13, 17, -5, -11, 0, -11, -10, 0],\n [4, 13, 10, 6, 4, 11, -10, 5, 15, 16],\n [12, 12, 15, -8, -7, 16, 19, -20, -16, 9],\n [-3, 16, 18, -9, 13, -7, 17, -5, -10, 12],\n [-6, -11, -18, -10, -10, -5, 17, 9, 20, -20],\n [17, 13, -2, 13, 15, -17, -11, -4, -5, 0],\n [7, -13, 8, -15, 9, -19, 10, 4, 2, 0],\n [-5, -17, -13, -15, 6, 15, 15, 3, -15, 12],\n [-19, 20, -5, 17, -12, -16, -11, 9, -14, 8]]\nB =\n[[-19, -1, -17, 7, -13, 14, -19, 20, 7, -10],\n [15, -12, 17, -20, 6, -18, 18, -12, 19, 7],\n [0, 7, 3, -3, -12, 5, 3, -15, -9, 15],\n [-12, -11, -18, 8, -14, 5, -13, -8, 14, -2],\n [1, -5, -6, -19, 17, 0, 9, -14, 10, 20],\n [20, 14, -17, 13, -20, -11, 9, 11, -18, -11],\n [-12, -4, -18, 6, 14, -17, -17, 11, 17, -10],\n [18, -15, 14, 11, 2, 16, 5, 13, 17, -10],\n [0, 3, -6, -18, -19, -14, -16, 19, 8, 20],\n [11, 9, -13, 11, -19, -11, 16, -18, 2, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2594", "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, 12, 12, -4, -15, -8, 0, 10, 0, 12],\n [7, -15, -13, -8, 13, 19, 1, -20, -8, -20],\n [-11, -16, -1, -8, 16, -11, -18, 13, 13, 9],\n [16, -17, 13, 11, 0, 20, 3, -12, 20, 3],\n [4, 15, -13, 20, 8, 4, 14, 17, 7, -2],\n [11, 16, 7, 14, -13, 20, 2, 19, 2, 11],\n [-11, -4, 14, 14, -18, 15, 8, 6, 10, 13],\n [-9, 16, 4, -19, 9, -12, 2, -12, -1, -20],\n [18, 2, -3, 11, -12, -10, -20, -10, 12, 9]]\nB =\n[[-16, -20, -11, -8, 6, -13, 7, -19, -9, 6],\n [-8, 1, 19, -6, 10, -14, 18, 14, -14, -9],\n [-7, 13, 18, -12, 12, -9, 13, 6, 1, -3],\n [-3, 16, -14, -17, -5, 1, 15, -1, 10, 12],\n [-8, -1, 20, 17, 1, 18, 2, 12, 20, 9],\n [-7, 15, -13, 1, -17, 14, -13, 13, 1, 4],\n [4, 19, 19, -4, -5, 18, -6, -4, 14, 12],\n [19, 18, -3, 9, 2, 16, -14, -11, -5, 7],\n [2, 13, -3, 2, -1, 10, -7, 2, -19, 8],\n [-12, 12, -9, -2, -1, 16, 10, 14, 20, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32516", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 18, 6, 4, -19, 14, -13, 12, 4, 0],\n [15, -8, -12, 14, 15, -11, -16, 10, 3, 11],\n [-18, -5, 20, -1, 3, 13, 2, 17, -19, 20],\n [-16, -3, 8, -11, -5, 2, 9, -15, 15, -1],\n [-5, 7, 5, 1, -10, -20, -16, 20, 15, -19],\n [-15, 6, 5, 14, -8, -9, -3, 17, -15, 7],\n [7, 4, -16, -6, -12, -19, -12, 5, 2, 7],\n [-15, -17, 9, -3, 9, 6, 10, 18, 9, 16],\n [-9, -4, 13, 7, -17, 13, -7, -8, -18, 0]]\nB =\n[[-5, 17, 5, -15, -3, 20, -15, 20, 4, 3],\n [9, 2, -13, -12, -15, 12, 12, -14, -3, -15],\n [16, 0, 5, -6, 9, -10, -13, -16, -13, -16],\n [-11, -6, 17, -18, 20, -11, -14, 3, 5, 13],\n [-13, 18, -16, 15, 5, -11, 12, 15, 10, 17],\n [4, -8, -20, 15, 15, 3, 6, -3, -6, -4],\n [8, -16, -10, -5, 13, -4, 12, 10, -3, 4],\n [-16, 9, 2, 17, -3, 11, 9, 8, 15, -12],\n [2, -18, 1, 19, 10, 1, -10, -18, -7, -2],\n [10, 15, 11, 5, -20, -19, -15, -7, 7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3257", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 19, -3, 13, -9, 6, 3, 12, -6, 11],\n [-4, 14, 14, -8, -12, -11, -20, 13, 16, 4],\n [1, -11, 5, -2, 19, 20, -17, 19, -16, 8],\n [17, -16, -20, 7, -2, 15, -20, 8, 15, 11],\n [-7, 11, -12, -2, -10, -17, 20, 4, -4, -13],\n [-20, -19, -11, 6, 6, -8, -10, -7, 11, -5],\n [8, 17, 13, 5, -16, -2, 18, 7, 7, -4],\n [16, -2, 6, -9, -18, -17, -10, 13, -3, 14],\n [-3, -15, 13, 12, -13, -1, -1, -3, 6, -16],\n [-14, 1, 13, -8, 11, 3, -5, -7, 18, -14]]\nB =\n[[-9, -1, 12, -15, 19, 6, -8, -16, 3],\n [-11, 11, -12, 14, -9, -10, 15, -13, -11],\n [-7, 9, -20, -9, -16, -7, 15, -4, 1],\n [10, 5, -8, -18, -10, -16, 17, -17, 11],\n [-11, -11, -3, 2, -3, 14, -18, -20, -4],\n [-15, -10, -7, 7, 18, 15, -10, 20, 19],\n [-17, -15, 17, -2, 10, -19, 4, 20, -10],\n [19, 0, -18, -19, -10, 3, 3, 0, 4],\n [-17, 19, 2, 3, 0, -19, 2, -6, 5],\n [5, 7, 5, -19, 14, 11, 9, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34706", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 2, -5, 10, -9, 12, 17, 11, -19, 2],\n [11, -6, 19, 20, 19, -13, 1, 17, 13, -20],\n [-11, 19, -5, 3, 3, -7, 5, 18, -3, -1],\n [20, 15, 3, 5, 8, 1, -10, 20, -10, -18],\n [0, -10, -13, 10, -11, -15, -4, 17, -14, 11],\n [-8, -15, -18, 6, 5, -17, 16, 0, 7, -3],\n [11, 18, 12, 5, -4, 8, -1, 9, -16, -15],\n [-11, -15, -11, 0, -17, -8, -11, -5, -2, -15],\n [5, -12, -11, 19, -18, -2, 14, -15, 8, -2],\n [-6, 17, 0, 18, 2, -1, -19, 11, 7, -17]]\nB =\n[[-14, -18, 4, -12, 2, 2, 5, 19, -3],\n [3, 6, -19, -20, -5, 3, 15, -10, 5],\n [-15, 5, 8, -20, -12, 6, -14, -18, -12],\n [-19, -11, -4, 10, -20, -3, -15, 17, 20],\n [-17, 19, -17, 14, -17, -20, 20, 10, -2],\n [0, 9, -14, -16, -19, -18, -6, 18, 16],\n [-11, -12, 2, -7, 12, -5, -1, -13, 17],\n [13, 10, -13, 4, 20, -8, -3, 20, 13],\n [15, -4, -9, -5, -8, -10, -7, 7, 3],\n [-4, -12, 9, 16, -18, -13, -3, 9, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[13, 7, 16, 4, 9, -14, 8, -19, 5, 20],\n [-14, -3, -15, 20, 19, 6, 20, 3, 12, 10],\n [13, 1, 3, 15, 7, -1, -3, 11, 12, -11],\n [-12, 4, -8, -16, 10, 10, 13, 5, -14, 20],\n [-1, 1, -16, -9, 0, -12, 8, 6, -4, 19],\n [3, 6, -13, 8, -2, -11, 3, 13, 19, 10],\n [-17, 20, 10, -12, 5, -8, 5, -20, 19, -12],\n [10, 3, 1, -12, 18, 2, -1, 0, 6, -16],\n [-4, 13, -12, 13, -11, -19, 4, -18, 13, -14]]\nB =\n[[7, -12, -10, 8, -5, 18, 8, -8, 14],\n [-10, 14, -13, -14, -16, -15, 14, 9, -10],\n [17, 6, 0, -7, 14, 8, 3, 15, 20],\n [11, -15, -11, -1, -1, 5, 0, 2, -9],\n [-8, -11, -14, 16, -9, 4, -19, 19, 5],\n [19, -16, -13, -12, 18, -1, -10, 19, 1],\n [-5, 17, -11, 4, -2, -17, -2, -18, -4],\n [-7, -11, -15, 10, 10, -12, -9, 5, -19],\n [-17, 11, 7, -15, 9, 7, -8, 15, -11],\n [-11, -16, 8, 15, -9, 1, 18, -19, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-871", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-11, -18, -13, -4, -17, 0, 9, -2, -6, -1],\n [9, -11, 2, 3, -9, -12, -6, 8, -3, -1],\n [-20, -18, -13, 18, 10, -13, -6, 1, 11, -16],\n [-12, 20, -6, 16, 12, 1, -10, -15, -4, -16],\n [18, -12, 8, 2, 15, 10, -1, 2, -14, 15],\n [-17, 3, -7, 4, -14, -6, -8, -2, -9, 5],\n [12, -6, 16, -15, 4, -4, 15, -12, 7, 14],\n [-18, -10, -1, 2, 9, 16, 15, -9, 15, 14],\n [13, -17, 3, 15, 7, 18, -19, -16, 7, -8]]\nB =\n[[15, -12, 18, 9, 6, -8, 18, 7, -3, 13],\n [0, -20, 2, 13, 15, -12, -13, 9, 15, 15],\n [-3, -19, -10, 15, 10, 10, 3, 0, 11, 9],\n [-13, 12, 18, -20, 12, -8, 1, -16, -9, 8],\n [-18, 15, -10, 5, -19, 8, 20, 8, 15, -2],\n [-11, -10, -14, -8, 20, -19, 9, 1, -20, 6],\n [-14, -20, 4, -17, 9, -13, 0, -17, -17, -13],\n [5, 8, -5, -2, -20, 16, 13, 8, 6, 9],\n [-15, 15, 18, -19, -7, -13, -18, 14, 6, 13],\n [7, 10, -4, -2, -10, -12, 9, -15, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5021", "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, -16, 10, -19, 18, -4, 17, 15, -18, 8],\n [12, -7, 17, 8, 2, -4, -10, 7, -14, 19],\n [-13, 20, 8, 4, -14, 1, -12, -10, 13, 6],\n [1, -18, 19, -13, -15, 4, -19, -5, 20, 0],\n [-6, 13, -1, 10, -6, 7, -15, -18, 17, 2],\n [-18, -13, -19, -14, -4, -14, 12, 15, -17, -5],\n [0, -3, 7, -5, 1, -15, 9, 7, -4, 15],\n [-9, 19, -9, 15, 19, 8, -19, 8, 9, 15],\n [4, 0, 1, -11, 10, -12, 20, 18, 13, 18],\n [20, 2, -9, -14, 11, -2, 1, -5, -13, 9]]\nB =\n[[-15, -19, 13, 8, 19, -1, -18, 14, -13, -9],\n [11, 8, 0, -18, 17, 6, -18, -20, -1, -14],\n [20, -20, -11, -9, -17, -14, -11, 1, 4, 8],\n [18, -6, -2, 18, -3, -18, -15, 1, 20, 10],\n [0, -13, -20, -18, 8, -15, 12, -3, -20, 1],\n [10, 2, -13, 8, -2, -5, -2, 16, 1, -2],\n [-17, -16, -16, 4, 3, -20, 7, 0, -2, 2],\n [-7, -15, 11, 11, -13, 16, 1, -13, 17, -11],\n [-18, -8, 18, 9, -17, -15, -5, 1, 6, 0],\n [8, -20, 9, 3, -8, 9, 5, 13, -1, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34325", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 9) of the product matrix AB given:\nA =\n[[-12, 16, 16, -5, -17, 11, -1, 8, 10, -4],\n [20, 4, -5, -1, -11, 2, 12, -8, 4, 16],\n [15, 3, -15, -6, 13, -17, -7, -17, 7, 8],\n [-3, -1, 20, 11, -13, -8, 19, -12, 19, 12],\n [-9, 16, 4, 4, -5, -5, 18, 14, 2, -13],\n [-18, 3, 1, -7, 1, 13, 15, 10, 0, -16],\n [-2, 0, -19, -18, 9, 13, 4, 14, 8, -9],\n [2, 7, -4, -5, -12, -18, 1, 10, -7, -18],\n [17, 2, 0, 3, 11, -16, 12, -2, 13, -18]]\nB =\n[[18, 7, -10, -11, 19, -19, 18, 6, -12],\n [18, -20, 12, 17, 12, -18, 11, -8, 0],\n [-17, -4, -17, -1, -9, 5, 15, -5, -14],\n [12, -19, 12, -7, -1, 16, 6, 0, -19],\n [-5, -2, -17, -11, 1, -9, -19, -19, 20],\n [13, -3, -5, -2, 4, 9, -15, 6, -6],\n [10, 1, -9, -11, 0, 10, 15, -11, -2],\n [2, -11, 6, -19, -10, -13, -2, -5, -17],\n [-7, 1, -4, 5, 14, 15, 9, 0, -1],\n [5, -9, -13, 14, 8, -14, -11, 18, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-291", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[7, -7, -9, -13, -14, -16, -20, -12, -3, -11],\n [-20, -1, 8, -19, 5, -10, 4, 13, 20, -20],\n [10, 17, 1, -19, -20, 3, 15, 15, 13, -12],\n [-9, -1, -17, -6, -17, -16, -11, 19, 15, 14],\n [-20, -3, 10, -15, -15, -2, 11, 9, 5, -18],\n [12, 10, -1, -17, 11, -3, -11, 1, -4, -17],\n [16, -14, -13, -20, -13, -2, -4, 20, -12, -5],\n [16, 6, -19, 15, -9, 14, 10, -2, 5, 15],\n [-17, 10, -8, 18, -17, 19, -8, 20, -12, -19],\n [14, -9, -4, -17, -7, 0, 20, -13, 12, 7]]\nB =\n[[-18, -7, -2, -15, 15, -1, -20, -11, -8],\n [-9, -10, 15, -4, 8, -18, 8, -11, -2],\n [-17, 17, -9, 10, -19, -20, -4, 4, -16],\n [-7, -11, 0, 4, 14, -18, -3, 15, 18],\n [12, -4, 19, -15, 13, 5, 10, 7, 15],\n [-8, 0, 5, 10, -5, 10, -8, 9, 11],\n [-16, -9, 18, 20, 16, -17, 8, 20, -16],\n [-10, 9, -12, 7, 1, -10, 0, -15, 5],\n [-5, -7, 14, 15, 1, -19, -8, -10, -9],\n [12, 1, -12, -14, -4, -11, 17, 18, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 9, 9, 13, 12, 11, -9, 20, 2, 8],\n [-20, -1, -11, -2, 2, 0, 14, 11, -11, -19],\n [15, -15, -4, -6, 15, 3, 19, 8, -7, -19],\n [1, -15, -12, -9, 18, -16, 19, -20, -11, -10],\n [6, 2, -1, -16, -8, -11, 15, 20, -5, -14],\n [11, 4, 5, 15, 7, -9, 5, -17, 2, 19],\n [3, 10, 9, -18, -5, 13, 17, 7, 20, -14],\n [-13, -14, 16, -14, -3, 18, 0, 13, 6, -13],\n [13, -3, 20, -9, 1, 19, 1, -13, 7, 11],\n [-10, 0, 5, -7, -6, -7, -9, 15, -18, -14]]\nB =\n[[18, -20, 18, 4, 10, 1, -11, -3, -8],\n [-13, -12, -6, -13, 12, 14, -2, 9, -12],\n [-2, 5, -20, -18, 13, 4, 9, -20, -3],\n [12, -12, -14, 9, -8, -4, -8, -8, 17],\n [16, -11, -7, -16, 15, 14, 2, -16, 7],\n [2, 13, 10, -14, -14, -17, 11, 7, -17],\n [18, -13, -7, 9, -18, -19, -11, -15, -14],\n [-5, -15, -5, 6, -9, 1, -6, 1, 14],\n [-6, 2, 17, -19, -19, -2, -16, -17, 7],\n [-3, 19, 20, 10, 1, -10, -5, -17, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5946", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[20, 4, -1, -13, -12, -3, 10, 14, 9, -3],\n [-2, 20, 3, 1, -7, -2, 8, 1, 9, -6],\n [0, 5, 15, -9, -14, -10, 18, -1, 14, -17],\n [-19, -1, -1, -9, -4, -3, 19, 3, -13, 16],\n [20, 9, -1, 2, 16, -11, 12, 3, 15, -5],\n [7, -9, -1, -3, 16, 5, -14, 0, 11, -14],\n [2, -1, -1, 11, 5, 15, 3, -20, 7, 5],\n [13, 5, 15, -16, -19, 11, 13, 9, 3, 7],\n [-18, -11, -15, 13, 10, -8, 18, -1, 11, -11],\n [5, -2, 8, -8, 13, -1, 19, -3, 13, -13]]\nB =\n[[-5, 19, 2, 11, -8, 5, 17, -20, -19],\n [18, -8, 6, -17, 20, -1, -18, 2, -19],\n [-5, -11, 7, -3, -19, -7, -1, 19, 2],\n [-14, -7, 16, -13, -16, 2, 20, -11, 6],\n [14, -20, -14, -13, -10, 13, 7, 13, -1],\n [7, 16, -18, -12, 1, 4, -19, 2, -4],\n [4, -9, 6, -1, -12, 2, 15, 7, 8],\n [11, -9, 9, -10, 16, -1, -10, 17, -5],\n [14, -20, 4, 6, 11, -15, 20, 15, 18],\n [2, 8, 9, 1, -10, 5, 2, -18, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7052", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-14, 18, 1, 12, 19, -18, 9, 3, -18],\n [-19, 19, -2, 3, -1, 10, 20, 10, 16],\n [8, -17, -11, 15, 14, 0, 20, -20, -9],\n [3, -19, -1, -5, 13, -8, -3, 8, -7],\n [9, 14, -12, 16, 18, -9, 0, -3, -10],\n [6, 3, 20, 13, -1, -8, -13, 16, -16],\n [-14, -9, 20, -17, 19, -2, -20, -8, 4],\n [13, 14, -4, 5, 0, -9, -5, -1, -11],\n [2, 9, -13, -16, -9, -7, -9, 3, -4],\n [-20, 16, -10, -15, -6, 20, 19, 2, 2]]\nB =\n[[17, 17, -9, -14, 16, -5, 17, 19, 14, 19],\n [8, 18, -4, 5, -1, 4, 17, 18, 16, -2],\n [0, 11, 7, 18, 20, -9, -6, 7, 0, -5],\n [2, 5, -6, 16, -9, -17, 14, 10, 6, 11],\n [12, -8, 16, -19, 17, 16, -16, -3, -4, -19],\n [14, -7, -9, 12, -14, 18, -12, -16, -17, 11],\n [-16, -13, -8, -17, -10, -6, -3, -1, -20, -20],\n [-10, 8, 8, 3, -1, 9, 17, -16, -11, -15],\n [-17, -17, -14, 12, -12, 5, 20, 0, 1, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-929", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, -16, 0, 6, 20, -20, -5, 14, 15],\n [11, 8, 18, 2, -6, 5, 16, 4, -19],\n [-9, -2, 11, 2, -16, 4, 14, 8, 17],\n [-1, 15, -14, 1, -3, 0, 1, 18, -9],\n [-10, -9, 5, 9, -6, -13, -3, -11, -13],\n [17, 14, -1, -9, -18, -1, -9, 3, -5],\n [-11, -2, 20, -7, -7, 1, -17, 13, -3],\n [13, -3, 19, 10, -1, 15, -11, -18, 0],\n [15, -11, -14, 1, 2, -9, 18, -8, 19],\n [-8, 12, 10, 7, -2, 0, 11, 5, -8]]\nB =\n[[8, -14, 5, -15, 11, 15, 2, -10, 0],\n [-2, 13, 14, 10, 8, -15, 15, 10, 11],\n [19, -1, 1, -18, -13, -2, 10, 11, -6],\n [18, 10, -18, 11, -11, 7, 6, 19, 10],\n [13, -16, -10, -14, -13, -4, 18, 20, -7],\n [3, 9, -6, -17, -8, -16, 10, -9, 9],\n [-11, 9, 5, -15, 6, -1, 7, -1, -9],\n [0, 9, -11, -16, 16, -13, 9, -4, -18],\n [0, -5, 11, 6, -15, -5, -18, 19, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1685", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, -14, -10, 8, -18, 0, 11, 9, 18, -10],\n [-4, 4, 4, -12, 8, -6, -2, -6, 18, 14],\n [19, -8, -5, -18, 10, -20, 14, -5, -20, -7],\n [-14, 2, 14, 8, 1, -5, 8, -15, -3, 8],\n [4, -19, 11, 15, 11, 20, -1, 16, 17, 12],\n [-16, -15, 1, 0, -2, -6, 13, -14, -4, -16],\n [18, -19, 6, 3, 20, 7, -20, 0, 7, -18],\n [9, -20, -3, 12, -6, 3, 15, 13, 5, 19],\n [1, -5, 19, -5, -16, -15, 3, 9, 16, 11]]\nB =\n[[-2, 7, -13, -20, -17, 1, 1, 9, 6],\n [6, -8, 18, 6, 18, 17, -13, -9, 3],\n [-3, -6, -5, 12, -11, 3, -2, 6, 20],\n [10, 0, -5, 2, -7, 2, 20, -3, 15],\n [-9, 16, -10, -16, 0, 11, 8, -14, 15],\n [19, 6, -15, 17, -17, 14, -11, 17, 9],\n [-12, -5, -17, 5, 8, 7, -10, 7, 11],\n [3, 18, -14, -3, -18, -1, 13, 9, -12],\n [-11, -15, -4, -6, 12, -8, 1, -5, 13],\n [-18, -13, -1, 3, -3, 2, -20, -19, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7166", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, -5, -11, 8, 14, 4, 3, -8, 0, 18],\n [13, -2, 7, 6, 5, -10, 14, -1, -9, 7],\n [-19, -20, -12, 1, 19, 6, -12, -14, 15, 17],\n [-19, -16, -4, 16, 14, -13, -18, -18, -20, 3],\n [9, 5, 17, 19, 17, -18, -8, 15, 20, -9],\n [-1, 18, -13, -19, -10, 0, 16, -15, -2, 9],\n [18, 15, -1, -11, 3, 12, 8, 9, 15, -15],\n [-7, -18, 3, -2, 17, 13, -12, 9, 11, -8],\n [-3, 1, -17, 2, -14, -10, 18, 20, 13, -16]]\nB =\n[[4, 7, -7, 6, -5, 6, -19, -2, 2],\n [20, -7, 5, -13, 6, 19, 7, -17, 17],\n [-10, 3, 7, 20, -3, 0, 5, -18, -8],\n [17, 7, -7, -20, 7, 15, -10, 19, -17],\n [13, -20, -11, -4, -14, 18, -8, 1, -20],\n [7, 12, -8, -20, 17, 4, 0, 12, 16],\n [13, -18, 9, -18, -3, 2, -13, -12, -19],\n [-19, 6, 18, 15, -16, -20, 1, -11, 3],\n [-6, 12, 2, -7, -3, 4, 1, 16, -14],\n [5, 3, -8, 20, -15, 0, -14, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-339", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-13, -5, -18, -12, 5, 5, 9, 6, -5, -17],\n [-2, 13, -15, -6, -11, 15, 19, -15, 19, -15],\n [-6, 8, 4, -2, -7, -18, -7, 18, 18, 0],\n [-10, -11, -6, 9, -4, 8, -4, 12, 17, 0],\n [-7, -11, 2, 18, 18, -7, 1, 20, 7, -12],\n [2, -14, 3, 16, -12, 17, -14, 2, 4, 1],\n [-14, -15, 15, 1, 14, 12, 0, -10, -8, -18],\n [-8, 20, 13, 7, 19, 13, 11, 2, 3, -20],\n [3, -18, -4, -14, -11, -2, 3, -12, -6, 1]]\nB =\n[[-4, -2, -12, 17, -2, -13, -15, 17, 0],\n [8, 13, -9, 18, 11, -15, -4, 11, -13],\n [17, 8, 10, -2, -12, 7, 18, 19, 10],\n [-2, 12, 5, -20, -10, -19, 14, -8, 18],\n [13, 13, 14, 11, -9, 12, -3, -16, -2],\n [10, 6, 17, -6, -17, -2, 0, 19, -20],\n [-1, 1, -8, 20, -20, -6, -6, -7, -16],\n [-15, 20, 10, 5, 4, 18, 19, -6, -15],\n [-20, 20, -14, -17, -20, 20, -19, 13, 14],\n [-8, -4, -11, -18, -17, 4, 16, 17, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33283", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-20, 9, 18, -11, 8, 11, -20, 20, -4, -9],\n [-19, -12, -9, 4, 15, 14, 1, 12, 0, 19],\n [1, 7, -17, 5, 2, 2, 20, -13, 11, 18],\n [-20, 9, 7, -4, 2, 17, 3, 1, -16, 4],\n [-14, 1, 16, 13, 15, 19, -1, 16, -4, -17],\n [-3, 7, -5, -13, -3, 8, 19, -5, 9, 13],\n [9, 0, 1, 4, 1, 7, 18, 12, -19, -17],\n [-5, -9, -4, 15, -5, 18, 2, -13, -12, -7],\n [-12, 5, 15, -18, -11, 4, -17, 9, -10, -2]]\nB =\n[[-8, 15, -18, -7, -11, 17, 19, 6, 3, -5],\n [-11, 6, -14, 7, 5, -3, -8, -13, 6, -7],\n [20, -15, -1, 7, 2, -9, 3, 1, 5, 1],\n [-14, -6, 9, -17, -15, -19, 10, 3, 14, 10],\n [4, -13, -9, -19, -6, 19, 11, -10, -4, 0],\n [1, 12, 8, -6, 0, -19, 17, -18, 4, -8],\n [3, 10, -6, -15, 20, -11, -12, 20, 20, -16],\n [20, -2, -1, 12, 16, 10, 18, -8, 17, -15],\n [-13, -11, 20, -17, -7, -17, 3, 0, -11, 4],\n [-15, -5, 7, 15, 12, 9, 15, 4, -8, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32313", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 17, 9, -7, -17, -20, -18, 15, -17, -7],\n [4, 18, -18, -14, -13, -14, 4, -4, 5, -17],\n [-3, -17, -4, -4, 4, -18, -9, 6, -4, 1],\n [18, 18, 15, -5, 16, 8, -7, -14, 20, 7],\n [-8, -5, 0, -17, 18, 14, -6, 5, -14, -3],\n [4, 16, 0, -13, -1, -3, -2, -18, 17, -3],\n [6, -6, 0, 1, -13, -10, -9, 18, 6, 14],\n [-19, 14, 10, -13, -1, -13, -17, 10, 11, -8],\n [1, 5, -4, 8, 6, 1, -3, -16, -9, -19]]\nB =\n[[-14, 5, 18, -6, 12, -18, -19, -4, -20, 15],\n [-4, -19, 12, 8, -15, 15, 3, -10, -16, 9],\n [-11, 16, 6, 6, 3, -18, 17, 5, 18, -3],\n [-18, 17, 4, -8, 4, 3, 20, -5, 20, -10],\n [0, 10, -6, 15, -20, 7, 12, -18, -6, 12],\n [11, 2, 5, -4, -12, -16, 8, -15, 20, 14],\n [0, 2, 14, -19, -12, -8, 13, -5, -16, -20],\n [19, 1, 5, 13, 0, -14, 4, -9, 10, 6],\n [1, 13, -4, -10, 8, 13, 16, 5, 11, 16],\n [-16, -1, -14, 2, -20, 18, -18, -18, -15, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3978", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 8, -6, 15, -16, -18, 4, 11, 0, -4],\n [-12, 5, 1, 20, 2, -10, -11, 2, -16, 5],\n [-17, 6, 17, 13, -18, 11, 5, -3, -14, -8],\n [-15, 14, 10, 16, -17, -17, -13, 17, -10, -19],\n [-3, -3, 1, -9, -4, -4, 15, 8, -5, 20],\n [-10, 1, 9, -13, -3, -5, -1, 18, -13, 9],\n [17, 8, -8, -4, 19, -4, -12, -19, 3, 0],\n [-19, -16, -4, 3, -13, 9, 1, 3, 5, -13],\n [-9, -7, 9, 14, 10, 7, 6, 15, -20, 20],\n [-7, -11, -14, 19, -7, 15, 6, -10, 16, -11]]\nB =\n[[-14, -4, -9, 16, 16, 15, -14, 3, 13, -20],\n [8, 5, -11, -20, -4, 20, 15, -12, 18, 2],\n [8, -19, -3, 7, -14, -10, -14, 3, -6, 10],\n [-2, -11, -13, -20, -19, 8, -11, -12, 10, 11],\n [-19, 3, 16, -15, -13, 19, 4, 4, -10, 14],\n [-20, 2, -18, 20, -20, -9, 17, 19, 10, 8],\n [14, 7, 0, -10, 5, -10, -16, -14, 10, 18],\n [-13, 6, 0, 9, -7, -20, 3, -15, -15, -16],\n [14, -6, 14, 20, -13, 14, -16, 10, 10, 16],\n [-13, -15, 2, -5, -13, -17, 11, -18, -5, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36850", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 8) when matrix A is multiplied by matrix B?\nA =\n[[-8, 12, 1, 10, 3, -18, 12, 9, 5],\n [13, 1, 9, 14, 4, 7, 12, 2, 5],\n [-12, -13, 16, 12, -6, -13, 0, -18, -12],\n [-7, 17, 6, -1, -17, 3, 6, -9, 7],\n [14, 3, 10, -18, 9, 6, -4, -15, -3],\n [14, 6, -4, -10, 17, 16, 13, 11, 14],\n [7, 1, -5, 19, -9, -16, 5, 5, -8],\n [3, -18, 11, 2, 16, 17, 17, -8, -6],\n [-19, -10, -5, -3, 13, -11, -8, 11, -13]]\nB =\n[[-14, -4, 20, 6, -13, 8, 16, 6, 16],\n [3, -5, 5, 10, 6, 5, -6, -6, 2],\n [4, -17, 15, -5, 19, 0, 19, -4, -18],\n [-14, -9, -20, 16, -15, 2, 4, 4, -18],\n [-17, 9, 12, 8, -17, -7, 0, -14, 0],\n [-14, -20, 13, 2, -18, -3, -9, -7, 20],\n [7, 3, 3, -18, -12, 3, -19, 19, 7],\n [-14, -12, 18, 18, 12, 13, 0, 8, 6],\n [-4, 2, 0, -13, -12, 12, -17, -3, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "285", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 4, 12, 14, 13, -19, -8, 20, 2],\n [2, 10, -19, -19, -16, -7, 2, 14, -20],\n [20, 19, -6, 9, 0, -13, -14, 20, 13],\n [16, 11, 12, -15, -11, 5, 5, -2, 14],\n [-17, 4, -13, -9, 3, 3, -4, 4, 12],\n [6, -19, -12, 12, -2, -16, -1, 3, 10],\n [-17, 11, 14, -7, 15, -15, -4, -3, -13],\n [-9, -4, 10, -20, -10, -5, 16, 7, -12],\n [-13, 4, -11, 19, -18, 2, 2, -17, 2]]\nB =\n[[-12, -17, 13, 18, -3, 13, 13, -18, -2, 13],\n [5, 14, 20, 10, 6, -18, 16, -9, 2, -4],\n [-5, -4, -6, 5, -19, -4, -20, 9, 11, 9],\n [-17, 11, 14, -20, -2, 12, -2, 15, 6, -8],\n [6, -7, 3, 14, -2, 4, -10, -12, -15, 15],\n [16, 8, -12, 12, 2, -6, -10, 2, 5, -20],\n [9, -4, 20, 2, 15, 20, -16, 14, -12, -17],\n [-14, -20, -5, 4, -15, 17, -7, 16, -10, -20],\n [-20, 15, -13, 11, 12, -13, -7, 3, 20, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-449", "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, -15, -20, 2, 20, 12, -7, 7, 8, 19],\n [2, 17, -11, 6, -13, -17, 0, 0, 9, -8],\n [-18, -1, 15, 19, -16, 1, -19, 4, 19, 3],\n [-16, -5, -6, -8, -10, -5, -3, 4, 17, 19],\n [-17, 0, -10, 13, 9, -17, -7, -10, -17, 5],\n [-18, 16, 17, 20, -17, 5, 18, -10, -10, 17],\n [17, -1, 5, 17, -9, 8, -7, 4, 18, 5],\n [-11, -7, -16, 1, -10, 8, -14, -3, 10, -1],\n [14, -14, 9, -17, 9, 9, 9, -3, -11, -7],\n [15, 2, -9, -9, 13, 5, -15, 16, -6, 18]]\nB =\n[[-2, 19, 2, 15, -8, 10, 16, 5, -3],\n [12, 19, 11, -17, 20, -2, -14, 14, 5],\n [2, 13, -14, -10, -13, -8, 11, 20, 13],\n [-3, -6, 3, 0, -3, -7, -2, -8, -5],\n [-19, 13, 5, 1, -1, 8, -3, 8, 6],\n [14, 8, -15, 16, 4, 0, 10, 19, -5],\n [-7, -15, -10, 6, 17, -16, -6, 17, -5],\n [-3, 12, 14, 3, 14, -14, -7, 9, 3],\n [-6, -8, -2, 8, 1, -19, 18, -8, 15],\n [17, -3, -6, 14, -4, -8, 1, 19, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30324", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -17, -14, -11, -6, 5, -5, 19, 13, -4],\n [17, -5, 13, 8, -3, -10, -9, 16, -19, -3],\n [17, 12, -12, -6, 7, -13, 15, 18, -13, -2],\n [-17, 6, -8, 17, 0, 5, 2, 9, 10, 10],\n [-5, 20, -14, -4, 3, -1, 18, 6, -19, -20],\n [13, 6, 16, -15, 17, 6, -5, 14, 6, 14],\n [15, 17, 7, -18, 20, 10, -18, 17, 3, 5],\n [20, 7, -12, 16, 6, -18, 20, 7, 11, 14],\n [-14, -14, 0, 11, 17, -1, -13, -17, 5, -6]]\nB =\n[[-15, 11, -16, -15, -18, 8, -2, -11, -14, -20],\n [-20, -4, 1, 15, -7, -15, 9, 12, -1, -5],\n [-17, 13, -20, -8, -13, 1, -17, 13, 16, 2],\n [-1, 3, 6, -8, -16, -5, 17, 8, 5, 1],\n [3, -8, 0, -20, -17, -18, 2, -5, -8, 18],\n [10, 3, -6, -16, 1, 1, -10, 3, -11, 13],\n [-10, 8, 1, 12, -13, 11, 19, 2, -16, 10],\n [8, -15, 4, 4, 10, -7, -4, -5, 7, -12],\n [-19, -17, -1, 20, 15, 16, -15, -20, -18, 16],\n [-18, 12, -6, -17, -6, -14, -17, -18, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8914", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-15, 12, -12, -9, 14, 10, -18, 15, -8, -8],\n [13, 0, 13, 7, 14, -7, -3, -2, -2, 12],\n [14, -1, 8, -13, 4, -4, -20, 17, 9, 7],\n [12, -8, 3, 16, 1, -8, 19, -9, 20, -14],\n [15, 8, 8, 5, 6, 3, 10, -14, -4, 12],\n [13, -3, 20, -16, -20, -14, 13, -18, 15, 14],\n [-9, -6, -17, 12, -5, 8, -15, 16, 2, -8],\n [-20, -9, 6, 4, 1, 13, -3, 20, -5, 8],\n [9, 9, -1, 1, 13, -17, 10, -7, -13, 16]]\nB =\n[[-16, -13, -10, 8, 0, 18, -8, -2, -18, 13],\n [17, -2, 11, 15, 18, -7, -14, -1, 11, 10],\n [1, -16, 10, -6, -4, 16, -2, -11, 13, 4],\n [16, 7, -6, -1, -8, -1, 10, -3, 20, 7],\n [-17, 3, -12, 11, 11, 18, 0, 18, 6, 15],\n [-13, -2, 8, -2, -16, 1, 14, -11, -6, -19],\n [1, 14, 18, -2, -9, 13, -1, -14, 3, -18],\n [-15, 12, 13, 12, 8, 2, -17, -16, 13, -5],\n [19, -18, -7, 12, 7, 20, -6, -17, -1, 4],\n [14, 18, 1, 14, 7, -11, -5, 2, -2, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2842", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-20, 5, 13, -19, 7, -1, 6, 7, 10, -14],\n [-13, 11, -10, 5, 4, -14, -1, 20, 9, -20],\n [-3, -13, 8, 19, 1, 11, 19, -7, -19, 14],\n [-14, -18, -6, 13, 1, -3, -3, 13, 15, 18],\n [17, 16, -3, 19, 8, -9, -3, 10, -6, 19],\n [9, 15, 7, -6, 12, -19, -13, 12, 14, -3],\n [5, 0, 7, -1, -1, -17, 15, 13, -8, 10],\n [18, -14, -4, -9, 9, 13, 1, 0, -12, -9],\n [-4, -5, -16, -2, 7, -4, 1, 14, -6, -2]]\nB =\n[[5, 14, 2, -11, 1, -10, 5, -20, 15],\n [0, -13, -1, -4, -6, 0, -20, -18, 10],\n [10, 0, 2, -4, 1, 1, 15, -13, -13],\n [-7, 17, 3, 1, -6, -1, 6, 7, 1],\n [10, -12, 2, -16, 18, -4, 19, -16, -14],\n [-13, -14, 1, 17, 0, -17, 11, 8, 9],\n [-18, -16, -2, -13, 16, 10, 6, -8, -15],\n [-20, 9, -10, 20, 10, -5, -6, -16, -6],\n [-20, -6, 15, 18, -13, 1, 6, 13, 9],\n [-9, -19, 17, 1, -4, 14, 2, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2839", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, -4, -13, -14, -10, -18, -19, -2, 7, 7],\n [4, -10, 19, -19, -9, 20, 17, -9, 4, 16],\n [10, -4, -9, 9, -19, -5, -20, 13, -20, 15],\n [-18, 13, -9, 6, 16, 4, -9, 12, -12, -20],\n [2, 7, -18, 17, 15, -16, 8, -8, -17, -15],\n [17, -15, -10, 6, 14, 19, -17, 6, -5, -3],\n [-14, -10, -13, -15, -16, -15, 17, -19, 10, 18],\n [11, -12, -6, 0, 7, 6, -16, -4, 16, 3],\n [10, 14, 20, 20, -17, -1, -4, -11, 16, 0]]\nB =\n[[0, -5, 12, -11, -3, 12, 8, 10, 3],\n [-9, -1, -15, -13, -7, -16, 15, 17, -18],\n [15, 1, -13, -7, -14, -17, -2, 3, -5],\n [-15, -13, 4, 11, 4, -11, 20, -4, -18],\n [-12, -3, 9, -16, 11, 6, 0, 3, 17],\n [-18, -5, -6, 4, -13, 20, -17, 11, 14],\n [9, 18, 9, -4, -2, 10, -4, -19, 16],\n [8, 9, 1, 17, -10, 12, -2, -18, 19],\n [1, -3, 9, -20, -1, -16, -9, -10, 3],\n [-3, -13, 8, 1, -19, 2, -5, -13, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1268", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -12, -10, 17, -5, -8, 15, 15, -4, -7],\n [8, -4, -20, -1, 12, -19, -4, 2, 1, -20],\n [-9, -8, -7, -11, -9, 1, -3, 18, -2, 9],\n [-6, 18, -7, -12, -16, 12, -16, 3, -13, -2],\n [-9, -13, -13, 17, -1, 8, 20, 13, -3, -20],\n [-10, 14, 11, -5, -15, -12, 19, 1, -13, 11],\n [5, -3, 16, -9, 17, 13, -17, -5, 3, -7],\n [-4, 10, -17, 13, 17, 17, -18, -13, -9, 14],\n [-19, 8, 2, 12, -3, 19, 1, -7, 8, -6],\n [-6, -17, 15, -16, -18, -9, -1, -1, 18, 18]]\nB =\n[[-20, -18, -12, -1, -12, 10, 7, 14, 19],\n [17, -19, -18, -7, -4, 14, -17, 9, 18],\n [-7, 6, -8, -1, 3, -11, -14, -4, 1],\n [-10, 2, 1, 19, -3, 5, 9, -8, -17],\n [6, 19, -11, 7, 0, -10, -1, 15, -2],\n [-11, -6, -3, -14, 9, -7, 16, 20, 9],\n [6, 16, 20, -4, 9, -3, -18, 7, 16],\n [9, 0, -1, 1, 15, 15, 0, 3, 0],\n [-14, -13, 1, 1, 9, 13, 8, -11, -16],\n [18, 13, 17, -11, -12, 11, -16, 14, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28903", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-5, 6, -1, -20, 5, -10, -6, 18, 19],\n [-3, 3, 7, 4, 2, -10, 12, -5, 15],\n [2, -15, 3, 17, -15, -11, 1, 2, -16],\n [7, -12, 18, 7, 4, 17, 6, 3, -5],\n [-19, -19, -16, 0, -11, -3, 5, -1, 20],\n [15, 0, -19, 12, 2, 18, 10, -17, 20],\n [-18, 16, -11, 11, 15, 6, -2, 17, -20],\n [5, -8, 14, -19, 1, 18, 7, -19, -10],\n [16, 5, 7, 5, -4, -18, -7, -5, 15]]\nB =\n[[7, 7, 4, -12, -10, 16, 0, -19, 13],\n [-8, -16, -10, 8, 7, 7, -16, -1, 16],\n [18, -11, 11, 8, -19, -20, -1, -20, -17],\n [-6, 9, -15, 17, -20, -14, -16, -14, 15],\n [-18, -9, -6, -1, 20, 0, 11, -9, 16],\n [19, -14, 10, -20, -10, 13, -2, -10, 12],\n [12, -13, -13, 13, 19, 6, 8, -7, 13],\n [16, -20, -12, -11, 9, -3, -4, -15, -10],\n [3, 15, 12, 12, -3, -16, 10, -5, -19]]\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[[-12, -19, 16, -1, -4, 4, -2, -13, -10, -8],\n [-8, -12, -16, -3, 19, -7, 13, 1, 12, 3],\n [8, -8, 6, -20, -14, -17, -11, 19, 14, 18],\n [-5, 6, -1, -11, 12, -14, 1, -4, -12, 19],\n [-11, 15, 10, 10, -16, -3, -15, 7, 3, -16],\n [7, -18, -3, -17, 19, 11, 11, -2, 8, 12],\n [-19, -10, 12, 20, 19, -20, -4, -5, -19, -17],\n [11, -14, 8, -12, 14, -16, 0, -4, 18, -7],\n [11, -6, 0, -7, 20, -5, -20, 19, -3, 13]]\nB =\n[[5, 15, 0, -20, 6, -10, 17, -7, 7],\n [6, 1, 0, 3, -2, 3, 5, 4, 8],\n [-11, -10, 3, 3, -9, -14, 19, -4, 14],\n [-15, -9, -6, 11, 2, -14, 17, 10, 8],\n [7, -9, 6, -17, 0, -12, 13, 16, 0],\n [2, 3, -11, 17, -15, 0, 16, 8, 19],\n [0, 1, 14, -16, -6, 20, -2, -5, 19],\n [2, -17, 0, 3, 5, -19, 19, -13, -12],\n [-19, -7, -1, -19, -17, 14, -7, 0, -6],\n [18, -1, -15, 7, -19, 7, 13, -7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 14, 1, -16, 20, 8, 14, 13, -17, -12],\n [-7, -16, 6, -10, 9, 16, 18, 13, 3, -5],\n [9, 3, -18, 8, -9, 6, 8, -19, 8, 19],\n [-12, 7, 16, 2, -8, -16, 11, 7, -6, 3],\n [11, 0, -16, 16, 15, 7, 11, 2, -5, -11],\n [8, 6, 14, 3, 2, -18, 15, -7, -17, 11],\n [-1, -4, 8, 18, 11, -17, 3, -19, -7, 19],\n [17, 13, -19, 15, -15, 15, 1, -16, 17, 20],\n [1, -10, 10, 8, 12, 1, 6, -13, -15, 4],\n [13, -12, 15, 10, -2, -20, 3, 13, -4, 13]]\nB =\n[[14, 15, -8, 4, -9, 0, 16, 17, -20],\n [-15, -10, -5, 1, -10, 16, 5, 5, 0],\n [5, -6, 18, 14, -10, -12, 2, -17, 9],\n [7, 4, 1, 4, 5, 8, 20, 11, 5],\n [7, -1, -19, 2, 18, -16, 0, 1, -10],\n [9, 7, 15, -4, 0, 16, 15, 4, 3],\n [9, 14, 0, -15, 0, -13, -16, 19, -11],\n [10, 9, 0, 15, 6, 17, 14, 11, 5],\n [-17, 6, 15, 16, 6, -15, -3, 5, 3],\n [-14, -7, -8, 5, -19, 2, 7, -20, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3806", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, 14, 5, 10, -9, 8, -16, 14, -14],\n [-5, 11, -4, 0, 6, 19, -6, 2, -13],\n [4, -10, 0, -11, -12, -20, 1, -15, 9],\n [13, -8, 1, -15, 20, 3, 0, 18, 2],\n [-16, -14, -18, -8, -9, -15, 13, -6, -3],\n [-18, 1, 14, 7, 20, -9, -20, 15, 9],\n [2, 16, 7, -16, 15, -11, -16, -7, 3],\n [7, 0, 19, -9, -1, 11, 17, 19, 0],\n [-4, -20, 7, -19, -4, 18, -7, -7, -3]]\nB =\n[[19, 13, -20, -3, 13, 2, -5, -2, 16],\n [-15, 3, -4, -5, 18, 20, -15, -5, -12],\n [8, -17, 5, 17, 5, -7, 14, 3, -13],\n [19, 4, -17, -6, -5, -10, 7, -14, 17],\n [3, 10, -17, 16, 14, -15, 12, 11, 17],\n [14, -4, 11, -7, -2, 3, 18, -10, -14],\n [3, 3, -7, 3, -10, -13, -6, -19, 3],\n [-11, 11, -4, -11, 1, -15, 6, -1, -20],\n [-4, -20, 16, -6, -20, -4, 17, -19, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-542", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 8, 2, -12, -13, -5, 2, 8, -11, -9],\n [-9, 9, -11, -7, -17, -1, 20, 18, -14, 9],\n [20, 3, -11, 17, 15, -4, 0, -18, -20, -3],\n [-19, 19, -17, 11, -2, -1, -14, -12, -14, 6],\n [0, 14, 3, 11, -9, 2, 15, 8, -18, -13],\n [13, -7, 15, 11, -14, -11, -9, 19, 2, -10],\n [-8, -9, -14, -11, -14, 6, -14, 3, 2, 4],\n [15, 12, 16, 18, -14, 9, 10, 16, 0, 13],\n [0, 19, -1, 13, -13, 11, 9, 8, -16, 9]]\nB =\n[[-9, 18, 6, -8, -11, 15, 10, -5, 18],\n [15, 5, -1, 13, 16, -13, -17, 8, 10],\n [-19, 4, 17, -18, -16, 1, -5, -12, -12],\n [-9, -17, -3, -3, 12, -18, 17, -4, -9],\n [-10, -4, 14, 20, -15, 14, -15, 11, -10],\n [18, -8, -8, 18, 13, -18, 11, -17, 19],\n [-20, -12, -14, 6, -18, 1, -5, -13, -16],\n [9, 7, 6, 1, 9, 16, -14, 9, -8],\n [1, -10, -16, 1, -6, 18, 16, 10, 8],\n [18, -4, 20, -15, 20, -4, 13, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 9, -1, -15, 10, -2, -15, 13, 7],\n [-8, -11, 20, -14, -3, 1, -7, 15, -13],\n [-9, 19, 12, 3, 18, -7, -16, -2, -18],\n [-20, 19, 20, 16, 12, -4, -12, 10, 14],\n [-18, -8, 16, 17, -7, -15, 8, -12, 15],\n [2, -6, -14, 4, 16, 2, -10, -13, 15],\n [18, -20, -8, -5, -8, 16, -7, -8, -9],\n [7, 1, -1, -2, -10, 9, 5, -6, 9],\n [8, 11, 9, -5, 15, -3, 20, 18, 7]]\nB =\n[[-2, -10, -4, 0, 16, 13, 12, 8, -17, 11],\n [-10, 5, -3, 11, 6, -5, -11, 13, 12, -11],\n [5, 4, -19, 5, -1, -18, 11, -20, 3, 12],\n [17, 14, -4, 12, -10, 2, 17, 11, -2, -9],\n [7, -19, -11, -2, 7, -13, 2, 9, 7, -8],\n [16, -9, -11, -4, -20, 1, -6, -5, -1, -11],\n [5, 2, -4, 13, 20, 1, -17, -14, -16, 10],\n [-2, -17, 1, -18, 2, -17, 3, -7, 20, -18],\n [0, 5, -20, 9, -17, -7, -3, -9, 17, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30696", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -20, -18, 18, 14, -6, 17, -5, -4, 13],\n [-11, -10, 7, 6, 17, -3, 9, -8, -5, -19],\n [-1, -9, 8, -13, 17, -1, 14, 18, 10, -5],\n [2, 13, 11, -4, 3, 14, 2, -13, 2, 0],\n [-2, 10, -14, 3, -13, -8, -18, 13, -8, 11],\n [14, 0, -20, -19, 5, -18, 3, 5, -13, 16],\n [-13, -3, -3, -9, 15, 19, -19, -1, -18, 19],\n [13, -15, 19, -11, 3, -3, 12, 18, -14, 8],\n [-2, 17, 18, 4, -4, 16, -18, 3, -3, 5],\n [0, -10, 20, -4, 17, 0, -17, 11, -3, 7]]\nB =\n[[15, 16, 5, 3, -11, 17, -13, -19, 14, 0],\n [6, 2, 11, 5, -14, 12, -4, -13, -4, -3],\n [15, 18, 2, -9, 2, 12, 7, 2, -14, -19],\n [-20, -17, -13, 8, -3, 16, 10, -15, 3, 20],\n [-6, 19, -9, -7, 6, 16, -8, 17, 17, -18],\n [-5, -9, -7, 13, 10, 18, -16, -9, 5, -4],\n [-10, 12, 20, 19, -17, 11, 10, -10, -4, 6],\n [-13, 0, 12, -16, 11, 4, -13, 6, 5, 19],\n [8, -12, -3, -14, 0, -5, -18, 11, -11, 11],\n [-13, 11, -17, 8, -9, 16, 15, -2, 16, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6477", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -15, 8, -4, -1, -11, -15, 11, -19, -11],\n [16, 6, 20, -2, 20, -5, -1, 15, -16, -3],\n [-13, -8, 20, -11, 15, -2, 10, 15, 8, 2],\n [11, -10, -19, 11, -16, 10, -8, 1, 14, -2],\n [8, 2, -2, -5, 10, -5, 5, -18, 2, -12],\n [3, 12, -7, 7, 3, -14, 17, 4, -19, -20],\n [2, 19, -3, -13, 13, -13, 8, -8, -20, 8],\n [16, -20, -16, -19, 1, 9, -10, 8, -18, -8],\n [-18, -11, -17, -7, 2, -4, -20, -6, -19, -3]]\nB =\n[[18, 1, 7, 9, -8, -18, -18, 5, -17],\n [-5, 7, -13, 19, -5, 10, 2, -19, -12],\n [6, 1, 13, -12, 12, 17, 13, 14, 5],\n [-14, 6, -9, -4, 0, 1, 5, 18, -8],\n [2, 9, -4, 6, -1, -14, -17, 10, 9],\n [10, -17, -3, -1, 19, 19, 2, 17, -12],\n [-5, 0, -12, 4, 15, -7, -4, 7, 20],\n [-13, -7, -6, 18, 4, -10, 8, -18, 18],\n [1, 16, 20, -1, -2, -8, 6, -2, -5],\n [-19, -20, -18, 3, 17, -19, -5, 8, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3055", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 8) of the product matrix AB given:\nA =\n[[-17, -7, -4, -4, -1, 8, 20, 5, 17],\n [-4, -9, 7, -12, 11, 13, -5, 10, 6],\n [8, -20, 6, 11, -10, 14, -19, -20, -15],\n [-14, -19, -19, -16, -8, -2, -2, -20, 14],\n [-3, 11, 11, -13, -10, -1, -13, 7, 0],\n [17, 17, -15, -19, -11, -12, -18, -19, 15],\n [-13, -12, 5, 13, 9, 17, -13, -18, -10],\n [4, -16, -9, 9, 6, -16, -1, 0, -18],\n [20, -17, 3, -14, 3, -10, -19, 20, -15]]\nB =\n[[-14, 17, -3, -12, 7, -2, -17, -17, -8, 7],\n [-10, -19, -15, -9, 19, 16, 3, -12, 5, -17],\n [20, -17, 13, 1, -8, -6, 19, 17, 20, -19],\n [-19, -13, 17, -3, 8, -10, -15, -12, 1, 4],\n [10, 0, 17, -2, -11, 16, -9, -2, -19, -6],\n [17, -13, 14, 17, 9, -12, 9, -2, 8, -19],\n [7, -13, 4, -11, 1, 14, 3, 5, 10, 2],\n [-19, 18, 12, 3, -9, 16, -12, -18, 2, 3],\n [12, 9, 17, -19, 19, 1, -10, -9, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "466", "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, 20, -3, 19, 15, 6, -8, -13],\n [2, -8, -14, 19, -19, -18, 18, 2, -14],\n [-17, -13, 11, -2, -9, -11, -7, 6, 0],\n [-1, -17, -2, 8, -14, 12, -13, -10, 12],\n [4, 12, 15, 5, 15, -10, 9, 12, -11],\n [8, 4, 11, -17, 18, 13, 1, -8, 15],\n [-15, -4, 5, 3, -12, -19, -1, 6, -15],\n [6, 3, -6, 12, -11, 0, -15, 9, 2],\n [15, -18, 5, 13, 9, -3, -4, 0, 3]]\nB =\n[[-17, 4, 3, 6, 10, 14, -1, -5, 10],\n [-14, -3, -13, 6, -7, -3, -20, 10, -1],\n [-15, -20, -2, 18, 6, -5, -7, 13, -14],\n [-1, 10, 1, -1, -6, 4, -20, -4, -5],\n [16, 0, 6, 14, 3, -19, 4, -2, -8],\n [8, 11, -15, -12, -20, 3, -11, 14, -15],\n [-1, 17, -9, -18, -3, 0, 14, 16, -2],\n [4, -3, 19, 9, 13, -11, 1, -17, -18],\n [7, 1, -9, -8, 20, 12, -2, 20, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22761", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[13, -17, 18, -13, 12, -20, -16, 11, 19],\n [-20, 14, 1, 8, -4, 9, 14, -20, -17],\n [-12, 11, -16, -7, 5, 2, 1, 6, 4],\n [15, -17, 11, -12, -19, 18, 4, -11, 16],\n [4, 19, 8, 16, -16, -7, 12, 6, -16],\n [-6, -18, -20, 3, -9, -7, -1, -7, -7],\n [14, -2, -1, 2, 13, -20, -17, 19, -4],\n [5, -7, 11, 15, -1, -5, -2, 18, 3],\n [-7, 8, -7, -10, -10, 19, 3, 1, 0],\n [-15, -7, -12, 14, 15, 4, -6, 7, -7]]\nB =\n[[-8, 20, 10, -16, -2, -13, -8, 20, -4],\n [11, -16, -12, 13, -20, 19, -6, 11, 13],\n [14, 7, -4, -10, 2, 5, -16, 5, -15],\n [13, -8, 4, -19, -7, -4, 20, 19, 19],\n [18, 4, 6, 3, 12, 6, 10, 17, -6],\n [19, -20, -10, -6, 12, 11, 4, 18, 12],\n [8, 13, -13, -10, -8, -16, -2, 0, -18],\n [5, 12, 9, 1, -16, -2, -12, 3, 18],\n [-9, 6, 0, 17, 14, 11, 15, 12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-433", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-16, -1, 2, 18, -17, 5, 9, 8, 13, -11],\n [-1, 3, 13, 16, -8, 2, -11, 1, -7, 4],\n [-3, -1, 7, -13, -16, 0, -1, -5, -1, 4],\n [-14, 4, 15, -11, 19, -5, -17, -11, 10, -9],\n [-1, 11, -19, -10, -1, 2, -8, 14, -4, -11],\n [19, 17, -7, -2, 11, 12, 4, 4, -7, 17],\n [15, 3, 20, 18, 18, -8, -19, 13, -6, -19],\n [4, -16, 13, 18, -16, -13, -7, 8, 9, 16],\n [-17, 14, -14, 5, 11, 12, 3, -20, 8, 17],\n [17, 0, 2, -16, 9, 19, -3, -15, -16, -3]]\nB =\n[[-8, -1, 17, 0, -17, -8, -3, -8, -8, 18],\n [16, 14, 17, 19, 6, 5, -9, -19, -1, 14],\n [-11, -13, 19, 15, 10, -6, -3, -6, -2, 3],\n [14, -19, -8, -12, 14, -19, -5, 15, -19, -5],\n [-13, -20, -3, 20, 5, -16, 0, 14, 19, 7],\n [5, 11, 0, -17, 20, 15, 3, 12, -16, -18],\n [-10, 11, 1, -10, 17, 1, -17, 18, -18, -11],\n [16, -2, -3, 7, 10, -4, 3, -20, -16, 11],\n [-4, 0, 20, 1, 18, 18, 13, -7, -5, -16],\n [-3, -17, 7, 6, -15, -10, 0, -4, 10, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32397", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, 2, -20, -17, 9, 10, -5, -18, -9],\n [-9, -10, -5, 8, 0, -16, -8, -4, -9],\n [-4, -20, -13, -5, -6, -2, 4, 10, -19],\n [4, 10, -17, -17, -9, -4, 0, 8, 1],\n [15, 19, -5, -6, 9, -10, -8, 2, 19],\n [20, 13, -1, -19, -13, -3, -14, 10, 1],\n [7, 4, -20, 11, 4, -5, 8, 3, -4],\n [-15, -7, 5, 7, 15, 10, 6, -19, -2],\n [7, 0, -6, 13, 19, -18, -20, 3, 6]]\nB =\n[[-12, 3, -4, 7, 18, -17, 8, 7, 16, 8],\n [8, -16, -10, -19, -17, -11, 18, -13, 2, 6],\n [2, 13, 14, -4, -11, -19, -4, 10, -5, 3],\n [-14, -2, -5, 12, 15, -11, -6, -18, -19, 14],\n [6, -16, -6, 15, 12, -20, -9, 20, -12, -1],\n [9, -7, 2, 8, 14, 6, 6, 9, -18, -9],\n [10, 16, 6, 3, 20, 19, -10, 6, -12, -5],\n [-7, 9, 3, -8, 12, -12, 5, -8, 0, 8],\n [7, 3, -8, -1, 18, -14, 20, -6, 4, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "808", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -13, 0, -15, -11, 20, 0, -7, 12, 4],\n [-2, -12, 16, 15, 15, -6, -16, -4, 9, -14],\n [-15, -6, -11, -15, 20, -8, -7, -20, 12, -2],\n [-12, 16, -9, -16, -15, -10, 17, -11, -6, 18],\n [7, -18, -5, -4, 15, -2, -17, 4, 6, -9],\n [6, -17, 3, -4, 5, -3, 1, -15, -2, 16],\n [13, -10, 3, 16, 2, 19, -17, -3, 9, -6],\n [16, 2, -9, -17, -17, 20, 20, -7, -13, 2],\n [-20, -10, 6, -17, 8, -4, -2, 3, 20, 11]]\nB =\n[[10, -5, 11, 13, 14, 16, -5, 0, -8, -3],\n [-19, 12, 20, -3, 7, 16, 14, 16, -9, 19],\n [-13, 4, -14, -19, 12, 12, 19, 2, -16, -7],\n [-13, -1, -3, 2, 8, -14, 3, 4, -7, 17],\n [-18, -7, -18, -12, -14, 5, -14, -14, 15, -8],\n [-18, -1, -12, 1, 12, 2, 2, 17, 5, 11],\n [7, 9, 19, -4, -3, 4, -17, 5, 10, -9],\n [-3, -11, 15, -19, 4, -12, 11, -16, -18, -4],\n [-8, -18, 7, -17, -3, 14, -7, -5, -9, -10],\n [-19, 12, -8, 9, 5, -3, -8, -17, 12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33782", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -15, -16, 12, -5, 3, -16, -18, 14, 6],\n [-9, 20, 4, -4, -1, 7, 14, -6, 12, -18],\n [-14, -11, 20, 5, 20, 19, -15, 12, -5, 3],\n [9, -11, -10, 1, -18, 17, 19, 2, -2, 19],\n [-8, 15, -18, 1, 4, -1, 7, -18, 1, 16],\n [17, -3, -1, -16, -12, 8, -4, -9, 5, 12],\n [12, 15, 8, 1, -3, -4, 3, 1, -16, -20],\n [-2, 9, 18, -6, 14, -16, -15, 4, -10, 1],\n [13, -7, -12, -1, -5, -4, -4, 13, -10, 14],\n [13, 15, -13, -2, 12, 2, -19, -13, 8, -14]]\nB =\n[[8, 10, 9, 14, 4, -17, 17, -4, -11],\n [-20, -3, -2, 11, 10, 12, 1, -20, 20],\n [14, -4, 13, 8, -15, -20, 6, -9, -17],\n [-5, -10, -1, 5, 7, -13, -19, 19, 5],\n [6, 12, -14, 15, 0, 13, 2, 13, 19],\n [-14, 5, 19, -4, 10, 18, 4, 16, -6],\n [-19, -10, 11, 9, -4, 3, -17, 11, -2],\n [-18, -17, 4, -12, 0, 2, 8, 9, 4],\n [8, 13, -7, 1, -5, -10, -7, -14, -16],\n [19, 8, -4, 9, 4, -7, 1, -16, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27873", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -9, 15, -8, 0, 11, 0, 16, 17, -12],\n [16, -19, -18, -11, 14, -12, 19, 11, 0, 13],\n [4, 11, 16, 1, 4, -20, 15, 0, 20, -5],\n [11, 0, 7, -2, -7, 2, 3, -1, 11, 19],\n [-11, -20, 10, 16, -6, 19, 10, 7, -11, -15],\n [-6, 6, -11, 0, -2, -17, 1, 17, -6, -15],\n [-10, 9, 19, 3, 1, 9, -17, -15, 17, 5],\n [-2, -19, -17, -16, 14, 8, -5, -9, 0, -12],\n [-10, -13, 5, 11, 18, -17, 13, 7, 4, 14],\n [-2, 14, 18, 8, -7, 0, 15, 17, -7, 19]]\nB =\n[[-6, 9, -9, -16, 6, -6, 5, -12, 19],\n [19, 14, -8, 12, 13, -17, -8, -11, -20],\n [-10, -12, 17, 2, -8, -16, 4, -11, -16],\n [1, 4, 16, -1, 7, 0, -10, 8, -16],\n [16, -16, 12, 15, -13, -15, -6, -6, -12],\n [-16, 5, 2, -5, 18, 14, -11, 6, -5],\n [0, -9, -12, -5, -12, 8, 2, 18, 3],\n [1, 10, -11, 6, 13, 18, 3, 0, -6],\n [-4, -2, 4, 19, 1, 20, -7, 7, -9],\n [6, 3, 1, 18, 20, 18, 15, 2, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29698", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, 8, -6, 18, -13, 7, 12, -10, 16],\n [4, 13, 1, -19, -5, -10, -7, 11, 1],\n [-16, 15, 2, -2, 8, 2, -12, -3, 10],\n [16, -4, -3, 6, 0, -20, 11, -7, -7],\n [12, 15, 18, -9, 4, -6, -1, 13, -7],\n [9, -8, -7, 8, 5, -18, 4, 6, 19],\n [-5, 17, -10, 8, 3, 8, 13, -10, -1],\n [-1, -12, 2, 15, 6, 3, 19, 4, 4],\n [12, 10, -11, 18, -6, -20, -5, 0, -19],\n [-18, -6, 11, 6, 15, 14, 18, 3, -13]]\nB =\n[[-14, -17, 9, -11, 4, 11, 11, 11, -11, -12],\n [4, 4, 20, -5, -5, 9, 17, -16, -14, -8],\n [-13, 12, -11, -1, 11, 8, -20, 6, -1, -7],\n [-6, -15, -19, 8, 18, 11, -16, 1, 7, 11],\n [8, 19, -18, 10, -8, -15, 0, -7, 4, -14],\n [1, 11, 20, 11, 9, -4, 19, 17, 0, 5],\n [-18, 17, -4, 18, -15, 0, 19, -8, -12, -16],\n [-14, 17, 17, 10, -17, -8, -6, 19, -8, 5],\n [-2, -20, -8, 4, -1, 20, 2, 3, 20, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[19, 9, 13, -11, 20, -20, -9, 8, -10, 20],\n [-4, -1, 17, -15, -1, -11, -11, 10, 5, -4],\n [-7, -16, -18, -1, -6, -18, -18, 2, -12, -10],\n [20, -8, -13, 1, 17, 6, 5, 2, 18, 10],\n [8, -20, -11, -17, 10, -17, 8, -12, -6, 20],\n [-18, -6, -10, -15, -14, -17, 0, -20, 2, -8],\n [7, 8, -3, 2, 7, -12, -15, -5, 16, -20],\n [1, 2, 0, 10, 17, 7, 6, 18, -8, 11],\n [-14, 12, -8, 11, -14, -9, 19, -6, 0, -9],\n [-8, 19, 18, -19, 8, 8, 15, 17, -14, 9]]\nB =\n[[2, 7, 2, 15, 8, -17, -1, -16, -10, -19],\n [20, 3, 12, 1, -15, 3, 8, 11, 9, 20],\n [-18, 4, 7, -6, -4, -19, 6, 15, -7, 11],\n [-9, 2, -5, -19, -14, 0, 10, 2, 4, 14],\n [14, -14, -16, 11, -16, 4, 10, -1, 1, 17],\n [-8, 18, -19, 1, -12, -19, 11, -13, -5, 12],\n [-10, 11, -13, 11, 0, 4, -1, -20, 0, -14],\n [4, -12, 1, -19, -2, -15, -16, -11, -20, 5],\n [5, -3, 0, -9, 17, -7, 11, 18, 14, -4],\n [-11, 14, -5, -15, -17, -12, 8, -14, -5, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37677", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-18, -7, -7, -12, 15, 2, -6, -14, -1, -2],\n [-15, 18, -20, -14, 14, 4, 17, 2, 4, 17],\n [-10, 13, 10, 17, -9, -12, -8, -1, 0, 1],\n [-20, 19, 20, -4, -17, -15, -2, 9, 2, 11],\n [8, -13, 0, -4, -4, 0, -6, 6, 4, 12],\n [-19, -5, 15, -13, -5, -14, -16, 2, -13, -18],\n [14, 15, 15, -6, 9, -6, 8, -17, 13, 2],\n [14, 7, 10, 12, -3, -16, -12, -1, 17, -12],\n [-3, -6, -6, -7, 14, 19, 15, -1, -10, 20],\n [-4, 20, 4, 8, 2, -12, 4, 20, 2, -19]]\nB =\n[[-20, 17, -15, -6, -14, -19, 9, 8, -9, 13],\n [9, 15, 14, -19, -18, -9, -17, -14, -1, -2],\n [-13, -18, 6, -6, -13, -3, 8, 15, -18, -12],\n [-11, 19, -1, -19, -20, 6, -17, 16, 11, -3],\n [-7, -6, -17, -2, 3, 9, -8, -10, 7, -10],\n [-20, -17, 17, 13, -9, 3, 16, 11, -2, 8],\n [17, 8, -2, -1, -18, 19, -16, 2, -16, 9],\n [11, 3, 14, 11, 1, 0, 7, 13, -5, -10],\n [12, 17, -2, 7, 8, 16, -18, -3, -3, -9],\n [-3, 11, 15, -2, -17, -10, -18, 6, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3736", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 3, -15, 13, -9, 2, 15, 19, -6, -5],\n [-7, -6, -9, 14, 4, -7, -19, -3, 14, -12],\n [-10, 5, -18, -16, 11, 20, -11, 17, -15, -10],\n [-4, -19, 20, 3, -16, 0, -15, -17, -12, -16],\n [-17, -12, -3, -5, -19, 8, 15, -9, 20, 16],\n [13, 14, 19, -15, 16, 15, -1, -5, -13, 1],\n [-16, -16, -10, -2, 18, -4, 16, 17, -3, -12],\n [-4, 20, 12, -1, -3, 3, -8, 19, 7, -18],\n [15, -10, 18, 0, 16, -19, -15, -16, 11, 16],\n [19, -10, -4, -7, -19, 18, -3, 12, 9, -6]]\nB =\n[[8, 5, -20, -4, 18, -19, -6, 1, -1],\n [8, 4, 3, 13, 0, -19, -5, 19, 0],\n [16, -13, -7, 1, -3, -16, 9, 10, -12],\n [10, 10, 20, -12, 16, -15, 5, -11, -15],\n [12, 9, 19, 3, 7, 17, 8, -6, -13],\n [2, -12, -10, -15, -9, 13, 0, 11, 15],\n [4, 14, 13, -2, 16, -4, -5, -5, -17],\n [9, 13, -16, 12, -12, -4, -9, 3, -9],\n [-6, -5, 2, -3, 1, 10, -6, 0, -13],\n [19, 15, 17, -15, -4, 19, 15, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5687", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -10, -1, 11, -4, 17, -15, -20, 16],\n [-17, 10, -10, -4, -14, 14, -19, 19, 16],\n [16, -11, -9, -4, 5, -16, -16, 17, 6],\n [-16, -13, 10, 12, 0, 14, 0, -6, 15],\n [-19, 9, 7, -4, -1, 19, 8, -16, 4],\n [-11, -2, 20, -20, 13, -7, 4, 5, 0],\n [-5, -11, 11, -1, -12, 13, 10, -2, 10],\n [9, 3, 12, -3, 0, 10, 18, 20, -17],\n [5, 12, 12, -1, 20, -13, 15, -13, 10],\n [1, -2, -1, 2, 3, 3, 15, -12, 19]]\nB =\n[[-5, 6, 16, -8, -19, -9, 20, 12, 2],\n [-7, 18, 9, 13, -12, -6, 3, 20, 4],\n [15, 11, 0, 18, -15, 4, -19, 10, 9],\n [-6, -3, 11, -7, -3, 14, 1, -7, 17],\n [-7, 13, 1, -5, -5, -5, 19, 17, -3],\n [2, 19, -3, 1, 19, 9, -3, -3, 20],\n [-20, -6, -16, 6, -4, 20, 11, 17, 5],\n [-19, 7, 2, -1, 15, 1, -10, 7, 1],\n [-4, 10, -10, 15, -7, 14, 2, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6594", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[15, -5, 18, -1, 4, -2, 5, 11, 0],\n [-12, -2, 0, -3, -15, 14, -7, -12, 14],\n [-19, -15, 14, 4, -12, 10, -14, 7, -19],\n [-20, 16, 3, 14, -14, 17, 8, -20, 9],\n [11, -11, 13, -10, 16, 6, -11, 17, 1],\n [3, -13, -15, -17, -16, -15, 11, 17, -1],\n [19, 15, -7, -2, -10, 18, -20, 14, -2],\n [12, 11, 15, 3, -14, -14, -16, -7, 5],\n [-20, -8, 2, -1, -14, -15, -12, 7, -11]]\nB =\n[[14, -14, 4, 9, 5, -9, -8, 19, -17],\n [-20, -15, -19, 6, -3, 8, 12, -18, -1],\n [-17, -3, -13, 1, 20, 1, -2, 7, -19],\n [-12, 14, 1, 5, 13, -14, 9, 4, -12],\n [6, -20, 12, -13, 11, 19, -2, 15, 1],\n [18, 5, -18, -12, 14, -14, -6, -17, 16],\n [7, -12, 14, 4, -12, 12, -4, -9, -12],\n [-16, 5, -2, 14, -19, -14, -12, 1, 12],\n [-5, 3, -13, 9, 5, 14, -4, 17, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "839", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[20, -4, -14, -19, -10, -18, -1, -8, 2, -4],\n [8, 18, 11, 14, 14, 13, 0, -5, 2, -10],\n [-7, -18, -14, 19, -10, 12, -2, 20, 2, 2],\n [8, -15, 18, -16, 11, 19, 5, -7, -3, 0],\n [4, -1, 3, -18, 1, -13, 8, -14, -15, -15],\n [-9, 1, 5, 4, -2, 15, 14, -8, 4, 11],\n [9, 0, 19, -13, 20, -14, -18, 16, -18, -3],\n [-12, 3, -14, 12, 4, 13, 17, 0, 17, 19],\n [-3, 18, 12, 7, 4, -7, -1, 18, -1, -14],\n [-17, 10, 9, 16, 0, -20, -18, -8, -14, -15]]\nB =\n[[-15, 13, 11, -5, 17, -13, 0, -10, 2],\n [-15, -6, -10, 6, -6, 17, -17, -7, -11],\n [8, -9, 19, -1, 16, -19, -1, -9, 17],\n [9, -3, -11, -14, -16, 8, 14, 18, -9],\n [-11, 16, -19, -18, -7, -1, -17, 5, -6],\n [-12, -18, -19, 18, 20, 9, 16, -4, -18],\n [-12, -13, -12, -4, 3, -13, -7, -5, -3],\n [3, 18, 6, 7, -14, 13, 6, 13, 18],\n [-2, -15, 9, 7, -9, -6, 18, 18, -6],\n [15, -18, -20, -14, -12, -20, -16, 15, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-19, 2, 18, 8, -2, 17, -1, -9, -10, 14],\n [-14, 2, -4, -19, -16, 0, -8, -10, 3, 12],\n [6, 14, -3, 0, -17, 20, 11, -10, -18, 0],\n [-7, -15, 8, 10, 7, 15, 7, -2, -18, -9],\n [15, 3, -9, 3, -20, 7, -5, 0, 9, 13],\n [5, 14, 10, -5, 8, 8, -12, -7, -13, -19],\n [-10, -19, -3, -16, -14, 2, -2, -2, -2, 19],\n [7, -10, -10, -12, -7, 13, 8, 0, -16, 12],\n [-12, -18, -7, -3, -9, 2, -7, -5, 16, -1],\n [-1, -6, 20, 4, -4, -9, 18, -14, -13, 3]]\nB =\n[[4, 0, 12, -11, 1, -2, 8, -18, 18, -17],\n [16, 10, -15, 7, -11, -9, -19, -18, -20, 14],\n [3, 13, -1, -5, 9, 18, 4, -16, 8, 16],\n [7, 20, 2, 11, -3, 20, 14, 3, 7, 15],\n [0, -16, 5, 2, 12, 5, 1, -1, -19, 20],\n [-3, -16, 11, -10, 0, 1, -18, -12, -19, 7],\n [13, -11, -2, 8, -19, -15, -14, 15, -13, -2],\n [-11, 12, 16, 17, 6, 8, -2, -3, 2, -20],\n [-18, -11, -14, 5, -5, 18, 11, -9, -13, -13],\n [-10, 12, 4, -4, 10, -2, -6, 14, 18, -19]]\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 value at position (4, 2) of the result:\nA =\n[[13, 4, 17, -17, -5, 11, -6, -7, 20, -6],\n [-14, -14, -13, -2, -3, -4, -3, -2, 19, -8],\n [-10, -14, 6, 16, -16, -13, -11, 16, 5, -6],\n [-5, 8, 7, -11, 19, -17, 19, -7, 12, -3],\n [-9, -11, 0, 12, -7, -12, 5, -6, 0, 1],\n [20, -16, -5, 14, -16, 5, 5, -16, 15, 3],\n [-6, 9, -16, 19, 1, 12, -16, 11, 2, -11],\n [15, -4, 6, -13, 19, -15, -14, 5, -4, 16],\n [2, 6, 19, -2, 6, 4, 19, 4, 0, 4],\n [-14, 14, -15, 19, -6, 3, -17, -14, 9, -4]]\nB =\n[[17, 9, 18, -12, -2, -8, 16, -2, -15, -9],\n [-6, -18, -17, 16, 17, -15, 7, -13, 10, 0],\n [8, -6, 3, 0, 2, 10, 13, 7, 11, 1],\n [-18, -12, -15, -20, 1, -17, -13, 16, -2, -20],\n [20, 3, -4, 11, -7, -4, 11, 12, 9, 13],\n [7, 3, -7, 13, -20, 1, 12, -3, 18, -9],\n [-11, -19, -19, -15, -1, 17, 7, -18, 16, 16],\n [4, 2, -8, 3, -18, 17, 7, 5, -1, 6],\n [-20, -11, -11, -20, 11, 11, 6, -8, -4, 7],\n [4, 15, -19, 11, 11, -15, 10, -12, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-645", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, 7, -4, 10, 2, 10, 5, -17, 18, -6],\n [16, 17, 2, -16, 20, 4, 9, 5, -18, -17],\n [-3, 16, -10, -10, 15, -5, 4, -20, 5, 9],\n [-15, 6, -2, 17, -2, 18, 11, -20, 4, -8],\n [-11, -3, 15, 1, -15, 6, -13, 3, -1, 1],\n [-12, 19, 18, -2, -20, -10, 20, -11, -20, 6],\n [-4, -4, 18, -19, 2, 20, -11, 9, 14, 4],\n [-4, -2, -3, -3, 14, -11, 2, 1, -12, 11],\n [5, 8, -2, 8, 14, -9, -13, 4, 6, -15]]\nB =\n[[-8, -10, 17, -15, -16, -14, -2, -15, 4, -12],\n [-1, 4, -13, 16, 17, -19, 1, 15, -17, -20],\n [12, 3, -16, 14, 5, 20, 5, 20, -16, -3],\n [4, 20, 19, 17, 0, 3, 7, -17, -13, 12],\n [-18, -1, 14, 18, -14, 6, -16, 16, -20, 1],\n [-14, -13, 9, 7, 5, 13, 11, 1, -1, -7],\n [2, -18, -2, -7, 19, 18, 16, 14, -20, -2],\n [-6, 4, -20, 10, 16, 1, -1, 20, -16, -6],\n [-19, -9, -14, -19, -13, -12, 6, 7, 16, -6],\n [-2, 9, -8, -15, 9, -20, 17, 4, 14, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 4) of the result:\nA =\n[[-8, -2, -11, -14, -6, 2, 15, 10, -13, 9],\n [13, 12, -20, -5, -10, 6, 1, 19, -2, -15],\n [19, 18, -1, -18, -20, 2, 17, -18, 13, -4],\n [6, 18, 2, 17, -10, -6, 5, -10, -14, -13],\n [-16, -4, 2, -19, 6, 0, -14, 17, 5, 9],\n [-9, -10, -4, -11, -5, -6, -6, -1, -17, 11],\n [1, 14, -7, 9, 10, -11, -15, 6, -10, 15],\n [-11, -5, 3, 0, 19, 20, 15, 2, 0, 11],\n [-4, -4, 0, -17, 2, 4, 11, -15, -7, 20],\n [17, 17, 20, -5, 11, -5, -2, 16, 0, -6]]\nB =\n[[5, 9, 19, -6, -8, 6, 2, 13, 13],\n [2, -1, -12, -1, 18, -7, 5, 6, 13],\n [8, 11, 20, -16, -17, 2, 0, 12, 20],\n [3, -5, 11, -2, 5, -18, 14, 18, -3],\n [-14, 11, 3, -5, 3, -17, 11, 13, -2],\n [-7, 17, -8, 1, 10, 9, 2, -9, -7],\n [15, -13, 3, -18, -7, -10, 17, 7, 2],\n [-3, -1, 12, -19, 18, 16, 5, -19, -18],\n [-1, -11, 0, 19, -12, -19, 7, -18, -5],\n [-17, 2, 9, 17, -8, -15, -11, -4, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, 13, -4, 1, -18, 20, 19, 8, 18],\n [6, 18, 19, 16, -18, -2, 13, -7, 0],\n [-19, -11, -4, -19, 6, -20, 15, 12, 1],\n [14, 13, -3, 15, -18, -5, -10, -11, 0],\n [4, 14, -15, -13, 13, 20, -20, -18, 17],\n [6, -8, -2, -2, -15, -7, -16, 15, -12],\n [2, 11, 8, 7, 19, -10, -2, -20, -12],\n [-19, -17, 8, -17, -20, 7, -3, -8, 19],\n [-15, 18, 1, 9, 6, -13, 7, -19, -1]]\nB =\n[[-10, -7, 3, -8, -13, 0, 1, -12, -10, -5],\n [-12, -18, 15, -8, -20, -10, 3, -16, -19, -4],\n [-4, -1, -6, -17, -10, 2, -20, -17, 17, -19],\n [6, 13, -8, -3, -10, -16, 8, 4, -7, 20],\n [17, 20, 16, -10, 11, -15, -15, 1, -18, -2],\n [13, 20, 20, -14, -5, 17, -12, -8, 13, 16],\n [-15, 17, -17, -16, -15, -8, 3, 7, -8, -3],\n [-14, -17, 10, 3, 1, 0, 5, 9, 14, 2],\n [19, 9, -2, 11, -2, 1, -17, -9, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4821", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-11, -2, -13, 10, -12, 8, -14, -13, 20, -4],\n [-6, -5, -14, -2, 17, 4, -9, 11, -11, 3],\n [-17, 16, 18, -17, 15, 16, 4, 20, 9, -20],\n [8, -5, 16, 16, -14, 19, 12, 1, 6, 8],\n [-5, 0, -10, 0, -12, 6, 18, 1, -6, 2],\n [8, 18, -5, -18, -5, -13, 5, -12, 14, -14],\n [-13, 14, 18, 15, -15, -14, -9, 18, -20, 4],\n [-9, 6, 2, -2, 0, 0, 3, -8, 15, -6],\n [-20, 13, 10, 11, 15, 8, -11, 0, 15, 3]]\nB =\n[[6, 0, -3, -17, -3, -12, 9, 14, 9, 18],\n [-15, -7, 8, 11, -7, -1, -12, -9, -7, 2],\n [13, -5, -3, 20, 19, 12, -16, 18, -11, 1],\n [12, 10, -15, 15, -18, -17, 6, 17, 4, 16],\n [6, 20, 15, 15, -14, 9, 8, 19, 20, -16],\n [-15, -14, 18, 11, -6, -8, -3, -11, 19, -10],\n [19, 19, -19, 6, -13, 17, -5, 3, 2, -7],\n [6, -11, 7, 4, -19, 12, 14, 20, -8, -16],\n [-16, 1, 13, -20, -4, -12, -11, -6, 8, 4],\n [0, -4, 6, 7, 2, 18, 15, -18, 12, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5744", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 4) of the result:\nA =\n[[-16, 5, -4, -4, -18, -18, 13, -13, -15],\n [16, 1, 12, -14, 19, -2, -11, 2, -19],\n [0, 3, -8, -16, -3, -10, 16, 11, 7],\n [1, 7, -20, -15, -10, 12, -5, -8, 0],\n [18, 3, 6, 16, -18, -9, -14, -1, -6],\n [-20, -11, -7, -6, 13, 4, 10, -11, 16],\n [-15, -15, 7, 17, -7, -8, -8, -11, -5],\n [18, 14, -6, 2, 16, -13, 5, 1, -16],\n [13, 6, -2, 14, -1, 17, -8, -3, -3],\n [-20, 11, 4, 0, 6, -10, -20, -2, 11]]\nB =\n[[-13, -2, -5, 14, -19, -9, 8, -11, 1],\n [13, 0, 16, -16, -15, 11, -18, -11, -16],\n [3, -1, 16, 10, -4, 3, -3, 5, -14],\n [-7, 20, -19, 9, -4, -1, -11, 3, -9],\n [6, -6, -12, -3, -14, 7, 15, -18, -5],\n [15, -17, 14, -12, -9, -11, -19, -2, -8],\n [12, -20, 7, 19, -15, -18, 4, -5, -17],\n [-13, 18, -5, 17, 2, -15, -5, -5, 2],\n [-5, 15, -9, 16, -12, -3, -12, 0, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "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, -16, -2, 14, 12, -3, 19, -7, -1],\n [-8, -5, 20, 10, 18, 14, -1, -20, 19],\n [-8, -14, 1, -14, -1, 16, 15, -17, -15],\n [-18, -18, -18, 15, -12, -5, -5, -9, 17],\n [-1, 10, 9, 0, -18, 0, 7, 7, -16],\n [-14, -16, -12, 0, -1, 17, 19, 16, -4],\n [7, 10, 12, 11, 11, 2, 0, 4, 12],\n [-18, -15, 7, -19, 11, 5, -16, -10, -11],\n [-6, -3, -7, 7, 9, -8, -1, -19, 4]]\nB =\n[[-9, 4, -17, -9, -14, 17, 19, 11, -15],\n [6, 14, 0, -1, -2, 12, -17, -2, 7],\n [1, 3, 9, 8, -11, 11, -12, 4, -5],\n [-6, -3, 2, -18, -14, 18, -10, 3, 14],\n [4, 7, -9, 2, -4, 20, 16, -3, -12],\n [14, 15, -3, -1, 0, -1, -15, -12, 8],\n [8, -8, 15, 6, -15, 18, 11, 7, -20],\n [10, 9, -3, 8, 17, 2, 1, -19, -16],\n [-6, 11, -15, -7, 3, 0, -7, -9, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24530", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, -4, 8, -5, -3, 17, 20, -10, 11, 7],\n [-5, 13, 9, 17, 1, -16, -12, -8, 18, 2],\n [6, 11, 10, 12, 5, -3, -9, -18, -16, -7],\n [-9, -17, -5, -10, 15, 17, -19, -8, -13, 0],\n [5, 17, 14, -6, 19, 9, -19, -5, -8, -20],\n [7, -20, 19, 13, -8, -19, -17, 4, 13, -8],\n [15, 11, 0, 5, -6, 8, 5, 0, -9, -9],\n [-16, 5, 11, -19, -13, 6, 16, -13, 3, -8],\n [8, -8, 2, -6, 3, 2, -11, 17, -16, -16],\n [10, 19, -20, -19, 8, -14, 8, -12, 15, -14]]\nB =\n[[7, -11, -5, -11, 18, 5, 13, 13, 19, -7],\n [-3, -20, -4, 1, 16, -5, -14, -6, 0, -19],\n [4, -12, -1, -11, 0, -17, 9, 13, 9, -7],\n [1, -20, -13, -10, -20, -16, -11, 18, -8, 0],\n [15, 12, 7, -12, -10, 19, 8, -14, 6, 1],\n [10, 9, 7, -1, -6, -6, -9, -4, 2, -15],\n [-5, 6, 2, -20, -14, 18, 19, 19, 18, -3],\n [15, 1, -19, 5, 11, 2, 19, -3, -2, 3],\n [-17, -19, 9, 17, 10, 19, -5, 12, -18, -3],\n [-11, -19, 9, 9, 4, 3, 14, -11, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1793", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[14, 3, -1, 18, 19, 14, 18, -11, 6, -6],\n [-6, 16, 14, -18, 8, -17, -5, -16, 0, 19],\n [0, -19, -7, -16, -14, -10, 14, 9, -20, -5],\n [-20, 1, -8, 6, -6, -4, -12, -16, 2, -10],\n [3, -13, 13, 10, 1, -7, -16, -4, -3, -2],\n [-14, 5, 4, -3, -6, 8, -20, -17, -12, 15],\n [11, 3, 16, -3, -6, -1, 19, -19, 4, -8],\n [6, -8, 7, -6, 8, 0, 10, 2, 16, -18],\n [14, -7, -19, -8, -19, -9, 6, 13, 19, -16]]\nB =\n[[4, -10, -8, 7, 0, 5, 6, 5, -6, -15],\n [-17, -17, 9, -8, -12, -7, 7, 19, -18, 20],\n [8, 12, -6, 18, -6, -14, -9, 18, -14, 20],\n [-15, 5, -12, 3, 9, -5, 6, 12, 2, -2],\n [15, -2, 1, 12, -11, 11, -6, 18, -13, 4],\n [-3, -6, 5, 20, 0, 1, 13, 16, 16, -7],\n [-17, 3, -19, -20, -19, -8, 6, -4, -4, -16],\n [3, -13, -12, -3, -5, 11, 19, 18, 20, 11],\n [-19, 17, -17, -16, 16, 16, 5, -12, -6, 3],\n [3, 14, 20, 4, 5, 2, -15, 20, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36996", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 8) of the product matrix AB given:\nA =\n[[10, 17, 11, -19, -3, 7, -14, 2, 15],\n [3, 7, 4, 18, -17, -2, -17, -8, -20],\n [13, -14, 4, 2, 9, -14, -4, 12, -19],\n [17, -8, 11, 1, -12, -4, -3, 19, 19],\n [6, -10, 7, -13, -3, -8, 12, -6, 1],\n [17, 9, -15, 13, -2, 12, -7, 20, -2],\n [19, -6, -11, -19, -19, 0, -9, -11, -9],\n [18, -19, -20, -19, 2, 7, -4, 19, 0],\n [13, -12, -4, 11, -16, -7, 4, 1, -16],\n [17, -12, 10, 20, 0, 15, -20, 1, 2]]\nB =\n[[2, -6, -20, -15, 19, 14, -4, 2, -1],\n [7, 16, -3, -14, -1, 3, -5, -8, 7],\n [-14, -6, 2, 2, 10, -16, 6, -11, -14],\n [11, 2, -12, 8, 6, 17, 0, -15, 5],\n [-1, -6, 17, -1, -6, 8, -15, -5, -20],\n [-15, -5, 12, -14, -11, -13, 0, 5, 16],\n [-3, -17, -1, 19, -2, 12, 2, -12, 17],\n [-3, -19, -4, -5, 3, 10, -20, 7, 12],\n [16, 18, -17, -20, 12, -11, -18, 16, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-461", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, 19, 3, -13, 3, 3, -11, 14, -17],\n [-12, -10, -8, 6, 9, 18, -9, -2, 19],\n [-17, 13, 2, 5, -14, -3, -17, -13, 1],\n [5, -8, -4, 15, 20, -6, -3, 6, -15],\n [13, 20, -16, -9, 8, 16, -9, 4, 13],\n [-10, 2, 3, -3, -11, -16, 10, 4, -4],\n [7, -20, -19, 19, -19, 6, -13, 6, 16],\n [-4, -17, 17, 10, -16, 4, 7, -2, 16],\n [2, 15, -8, -4, 9, 2, -18, -8, 11],\n [14, -19, -18, 8, -11, -1, 13, -6, 19]]\nB =\n[[-20, 5, 11, -19, 11, 20, 8, -1, 2],\n [-9, -11, -2, -11, -2, 5, 3, -12, 8],\n [8, 16, 7, -18, 2, -17, -7, 17, -8],\n [7, 18, -1, 7, 11, -7, -8, -10, 17],\n [18, -6, -12, -18, -16, 7, -6, -18, 14],\n [-14, 9, 3, 10, -7, -5, -17, -18, 14],\n [-12, -17, -2, 3, -10, -6, 15, 10, -13],\n [-19, -18, -18, 0, -9, -7, 2, -8, -5],\n [-4, -3, -8, 5, 19, 18, 10, 19, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5734", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[11, -20, 14, 15, -2, 7, -19, 8, 8],\n [-2, 7, 13, 10, 16, -2, 11, 8, -12],\n [-14, -9, 10, -3, 7, 0, -12, 13, 13],\n [3, -5, 7, 14, -15, 17, 20, -10, -17],\n [-7, -8, -6, -13, 3, -10, 14, 4, 2],\n [-14, -16, 11, 7, -18, 9, -16, 12, -1],\n [9, 1, 1, 17, 8, 0, -3, -10, -11],\n [14, 5, -17, -11, 18, -5, 20, 9, -18],\n [13, 4, 17, 15, -17, -11, -8, -15, -14]]\nB =\n[[7, 16, -6, 9, 19, -11, -9, -4, 9],\n [-20, 15, 19, 3, 17, 0, 11, -3, -8],\n [16, 0, -3, 19, 5, -16, -16, 10, 7],\n [-8, -10, -20, 3, -8, -3, 3, 8, 7],\n [17, 1, -1, -10, -1, 20, -8, 3, 3],\n [-4, -16, 9, -7, -6, -12, -7, -11, 1],\n [10, -8, -4, -20, -7, 18, 14, -20, 6],\n [1, 13, -12, 15, 11, 17, -1, 6, -18],\n [-10, 3, 8, -16, 12, -13, -2, -17, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, 9, -16, 19, 17, -18, -5, -13, -16, 17],\n [14, -13, 15, 4, -13, 0, -12, 11, -8, 2],\n [-13, 14, 7, -6, 8, -17, 13, 16, 3, 0],\n [-19, -14, -10, -9, -17, 14, 19, 5, -3, 16],\n [-5, -9, 20, 19, 16, -2, -6, 1, -1, -8],\n [2, 10, 5, 11, 0, -4, 8, 8, 1, -2],\n [-7, 18, 2, 20, -19, 11, 17, 12, -14, 13],\n [-17, 2, -1, 1, 8, 20, 16, -18, 1, -1],\n [4, 13, 8, -11, 18, 16, 19, -1, 17, 2]]\nB =\n[[-10, -13, 8, 15, 4, 18, 13, 11, 20, 2],\n [0, -2, 4, 2, -2, -16, -2, 14, -9, 18],\n [4, -16, -9, 6, -17, -2, 3, 7, 12, 14],\n [-5, -9, -5, -10, 7, 2, -4, -2, -10, -17],\n [-11, -2, 15, 18, 20, 1, -19, 12, 19, 6],\n [-2, -17, -2, 4, -15, -8, 1, -17, -19, -18],\n [9, -17, 8, 12, -8, 18, 11, 7, 16, 7],\n [6, 4, 9, -15, 9, -12, -15, 8, 2, -15],\n [1, -19, 10, -15, -16, -1, -9, 17, 17, -13],\n [12, 18, 19, 10, -18, -2, -13, 9, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1667", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 2) of the product of the following matrices:\nA =\n[[-15, -19, 2, 9, 17, 18, -12, -14, -6, -6],\n [0, -7, -10, -10, -1, -8, 9, 19, 18, -1],\n [17, -13, 16, 12, 5, 18, -13, -3, 18, -7],\n [-3, 0, 2, -17, -11, -10, -1, -2, -20, 10],\n [-19, 20, -16, 13, -17, 6, 18, -18, 5, 20],\n [-20, -5, 14, -2, -5, 12, 10, 1, -1, -15],\n [14, 18, -18, 11, -8, -7, 20, -13, -2, -7],\n [-10, 14, 15, -18, 4, -8, -5, 7, 6, -11],\n [-3, -13, -14, 1, 17, -12, 19, 18, 8, 16]]\nB =\n[[8, 7, 0, 12, 5, 17, -6, -19, -9],\n [12, -6, -20, 12, -17, 7, -7, -9, -15],\n [-1, 0, -5, -9, -1, 12, -19, 13, 5],\n [12, 9, -20, -13, -20, -11, 11, 19, -19],\n [10, -17, -9, 10, 20, 2, 12, -13, -5],\n [-6, 20, 19, 5, -7, -9, 6, 10, -17],\n [9, -17, 10, 13, -17, -1, -3, -13, -19],\n [-12, -5, 1, -9, -16, 18, -6, -13, 3],\n [-2, 16, -3, 0, 18, -7, -6, -18, -10],\n [-18, 9, -15, -15, 10, 1, 0, 17, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-604", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, 8, -10, 1, 18, -15, 9, 4, 15],\n [-20, 1, -12, -13, 13, -5, -2, -13, -9],\n [20, 10, 12, -2, 6, 3, 7, -17, -9],\n [2, -1, 19, 7, -20, 20, -10, 10, 20],\n [17, -12, -15, -15, -18, 11, 14, -5, -19],\n [15, 20, -14, 14, 9, 8, 20, -20, -20],\n [20, -14, -18, 15, 18, 10, 4, 3, -20],\n [17, 10, 16, -10, -18, -9, -1, 9, -11],\n [18, -6, 0, -3, 11, -2, 9, 12, 1]]\nB =\n[[8, 3, -17, -9, 15, -17, -16, -2, 20, 18],\n [10, -14, -9, -11, 8, 0, -8, 2, -15, 10],\n [-12, 3, -5, -10, 15, -20, 0, 15, 16, -15],\n [-7, 8, -20, -13, -2, 2, 18, 20, -10, 6],\n [19, 15, -1, -13, 15, 5, 14, -18, -17, 8],\n [7, -2, 7, -3, -7, -7, 8, -18, 13, -12],\n [19, -16, 8, 20, -16, -8, 5, -12, -17, 18],\n [10, -16, -14, 7, 19, -7, 3, 17, -16, 13],\n [7, -13, 0, 3, 3, -8, -6, 4, 7, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-719", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-13, 10, -14, 18, -4, 14, 1, -14, -11],\n [7, 18, 8, 14, 1, -12, 15, -13, 9],\n [9, 10, 1, 10, 19, 7, -16, -4, -10],\n [1, 4, -8, 15, -10, -16, -7, 1, -18],\n [14, 11, 17, 19, 3, 7, 0, 12, 7],\n [18, 15, -11, 16, 19, 4, -4, -17, -11],\n [4, 11, -13, -9, 0, 6, 9, -11, 0],\n [-20, -12, -18, -2, -15, -14, -5, 15, -17],\n [-3, 11, 11, -3, 18, 16, 7, 18, -19]]\nB =\n[[16, 16, -19, -2, -16, -8, 1, -14, -19, -7],\n [4, 5, -16, -1, -9, 15, 10, -4, -5, -11],\n [14, 12, 17, 14, 6, -14, 6, 20, -9, 12],\n [-8, -19, -18, -10, -16, -19, 7, -8, 14, 19],\n [-8, -9, -3, -3, -4, 18, 1, -8, 17, -2],\n [3, -2, 0, 3, 9, 7, 14, 17, -4, 13],\n [-12, -8, -7, 5, 0, -1, -10, 14, 10, -3],\n [-7, -16, -4, 0, -7, -18, 10, 4, -4, 5],\n [-4, -2, 6, -14, 5, -16, -19, -5, -10, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4410", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (8, 4) of the product matrix AB given:\nA =\n[[2, 14, -15, 16, -20, 12, -3, -18, -2, -11],\n [-1, -10, 11, 19, -1, 11, 16, 1, -17, -8],\n [-15, 8, -19, 4, 11, 5, 5, 17, 1, -11],\n [2, -17, -5, 12, -8, -8, 12, -7, -13, 5],\n [1, -20, -5, 8, 2, -16, 0, 15, -1, -13],\n [5, 20, 4, -14, 1, 12, -16, 17, -9, -7],\n [-14, 7, -5, 20, -19, 10, 15, -7, 7, 11],\n [7, -9, -8, 1, 8, 9, -6, 19, -17, 12],\n [-12, 17, -5, 5, 6, -10, 5, -7, -20, -10]]\nB =\n[[9, 3, -17, 1, -13, -5, 12, 12, -11, -19],\n [-17, 2, 6, 12, 12, 20, -1, -8, -10, -2],\n [11, -18, -8, 7, 1, -2, 10, -1, 3, 11],\n [-12, -2, 2, 4, 12, -19, -18, 7, 16, 14],\n [-7, 3, 16, -18, 2, 13, -12, -3, -19, 1],\n [14, 10, 5, -7, 7, -10, 11, 0, 2, 3],\n [-9, -18, -15, -9, -1, -15, -1, -7, 20, -20],\n [-1, 1, 19, 10, 10, 7, -9, -5, 12, 14],\n [-17, -11, 13, 20, -18, 10, 10, -20, -16, -16],\n [-19, -6, -20, 0, 16, -14, -10, 5, -19, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -16, 10, 11, 13, -11, 10, 6, -3, -16],\n [-4, -10, -16, 17, 16, 0, 3, 9, -5, 20],\n [1, -19, -2, 16, -19, -10, 12, -12, 4, -15],\n [-10, 6, -13, 10, 6, 20, -16, -6, -19, -6],\n [10, -1, -18, 18, -11, 5, -11, 19, -8, 0],\n [13, 11, -12, 9, -20, -9, 14, 3, 19, -11],\n [3, 20, -3, -13, -8, -5, -7, -12, -12, -16],\n [-10, -2, 17, -11, -5, 8, -16, -3, 14, 15],\n [1, 3, -9, 18, -9, 14, -2, 16, -7, 2],\n [19, 1, -10, -19, -11, -16, 9, 0, 12, 4]]\nB =\n[[-14, 19, 7, -5, 16, -18, -2, -9, -2],\n [-10, -18, -19, 5, 1, -4, 13, -6, -9],\n [-5, -5, 18, -15, -13, 4, -2, -2, -9],\n [-12, 20, 8, 6, -16, 5, 9, -7, 12],\n [14, -10, -17, 12, -15, 7, -11, 15, 5],\n [9, 1, -16, -19, 12, -5, -14, 0, 14],\n [1, 1, -15, 12, 18, 4, -3, 20, 14],\n [3, 19, 19, 2, 12, 8, -11, -6, -11],\n [5, 19, 8, 13, -3, -19, 4, 0, 10],\n [1, -12, 6, 4, 4, 6, -11, 9, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3834", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 9, 12, 5, -19, 2, 10, -17, -1, 4],\n [-20, -19, -15, -14, -17, -3, 20, -16, 4, -20],\n [13, -18, -4, 11, 3, -19, -20, 13, -13, -12],\n [7, -2, -1, -14, 14, -2, -4, 19, -3, -14],\n [6, 18, 9, 2, -1, 2, 5, -7, 10, 6],\n [-12, 2, -11, 2, -11, -19, 16, 19, 17, 17],\n [-20, -3, 14, -14, 1, 4, 2, -12, 6, -10],\n [6, 19, 7, -3, 15, 13, -8, 9, 7, 1],\n [3, 9, 17, -1, -15, 12, 17, -6, -6, 11],\n [-7, -13, 15, 1, 17, -1, 3, 0, 7, 2]]\nB =\n[[3, 18, 2, -17, -17, 9, 7, 10, 12, -2],\n [-11, 4, 16, -8, -15, 9, 2, 15, -5, -13],\n [-5, -10, -20, 1, -3, 15, -10, -1, -11, -11],\n [16, 1, -10, 14, -12, -6, -2, 16, -15, 15],\n [-16, -18, -11, -8, -17, 19, 12, 13, 15, 12],\n [0, 18, -16, -8, 19, -4, -11, -11, -19, 17],\n [0, -20, 9, -3, 14, 18, 1, -18, -15, 15],\n [-5, -18, 15, -10, -4, -2, -13, -7, 5, 4],\n [-11, 11, -6, -17, 7, -17, -8, -9, -6, 8],\n [2, -8, 17, 14, 19, -9, 9, -16, -19, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33403", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 7) of the product of the following matrices:\nA =\n[[14, -11, -12, -4, 17, 9, 20, 14, -14],\n [-9, 13, -18, 12, 19, -8, -10, 19, -1],\n [10, 12, 13, -12, -14, -12, 5, -19, -16],\n [-19, -11, 10, 12, -15, -7, -7, -6, 12],\n [10, -4, -6, -1, 0, 8, -12, 8, 13],\n [-12, 9, -4, -17, 19, 11, 11, -14, 17],\n [11, -16, -18, -1, -4, -5, -10, -8, -3],\n [-7, 13, -9, 1, 0, 5, 18, -19, -5],\n [13, -10, -2, 9, -14, 6, 1, -4, -6],\n [-12, -9, -13, -19, -5, -18, 10, 5, 20]]\nB =\n[[-19, 9, -8, 16, -7, -20, 11, -15, 1, -10],\n [2, -7, -7, -1, -14, -2, 5, 1, -15, -8],\n [-11, -2, 10, -11, 16, -8, -4, -16, 0, 18],\n [-1, -14, -6, -6, 2, 12, -19, 11, -6, -14],\n [-12, 7, 1, -18, -19, 1, 4, 4, 11, -14],\n [10, 16, -17, 12, -6, -12, -15, 10, 13, 17],\n [-8, 15, 11, 1, 8, -10, -15, -16, -20, 18],\n [-11, -11, 3, -14, 1, 0, 1, 12, 4, 10],\n [-5, -6, 8, -2, -4, 5, 15, 15, 14, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "239", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, -12, 13, -3, -5, 11, 7, 11, -3],\n [13, 8, 0, -20, -5, 12, 0, 14, 6],\n [-1, 10, -5, -7, 11, 20, 11, -19, 1],\n [16, -4, 11, 17, -4, 13, -14, 8, -4],\n [3, -13, 2, 12, 8, -2, -16, 16, 2],\n [5, 3, 0, 12, 5, -11, 8, 14, 7],\n [-9, -14, -5, -1, 8, 14, 7, -14, 1],\n [-7, 15, -11, -19, 1, -5, 14, 19, -10],\n [12, 13, 12, -2, -1, -11, -2, -9, -11],\n [-14, 19, -10, -5, 12, 17, -4, 4, 10]]\nB =\n[[-20, 18, -1, -12, -19, -20, 18, -16, -9, -7],\n [18, 11, 19, -12, 12, 4, 17, -7, -12, 6],\n [-2, 4, 11, 1, 8, 7, -8, 7, -18, 9],\n [-10, -19, -12, 12, 5, -5, 4, -20, 0, -1],\n [-16, -4, 19, 17, -20, -8, -3, -17, -7, -16],\n [12, 5, -17, 9, -4, 7, -15, 6, 15, -14],\n [-20, -11, -8, 20, 11, -7, 12, 9, -12, -15],\n [-11, -10, 18, -1, 4, -9, 1, -9, -7, 15],\n [-7, -19, -19, -15, 4, -18, 2, -12, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 14, -20, -19, -6, 19, -5, 2, 14, -13],\n [-14, 0, 14, 18, 16, 12, 16, 14, -3, -2],\n [-11, -17, 9, 12, -17, -12, -4, 18, 3, 18],\n [-8, 5, -2, -4, 9, 5, -8, -3, 0, 13],\n [-12, 9, 8, 8, -2, -13, -4, -9, -6, -16],\n [13, -18, -16, 13, -12, 3, -16, 6, -1, 20],\n [-19, 2, 13, 8, 14, 9, -18, -11, 13, -20],\n [-15, -15, -5, -20, -16, 4, 6, 17, 5, -5],\n [5, 16, 7, 7, 9, -8, 4, -2, -8, -10]]\nB =\n[[2, -7, -11, 13, 19, 2, 19, 0, -1, 11],\n [-7, 3, -3, 9, 7, -7, 0, 13, -16, 10],\n [-18, 2, 18, 9, 9, 15, 17, -14, -16, -15],\n [-7, -10, 16, -19, 10, 6, -5, -19, 5, -5],\n [-12, -12, -16, 15, -14, 11, 8, 16, -18, 9],\n [19, 10, 6, -15, 8, -12, -1, -10, -2, 18],\n [-11, -16, 18, 2, -15, 10, -3, 0, -6, 10],\n [-11, -15, 3, 12, 7, 7, -11, 2, -6, 16],\n [-7, -7, -14, 15, -3, -6, 12, 1, 20, -4],\n [5, -6, 19, -3, -13, -18, -7, 13, 12, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2543", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-20, 14, -11, -2, -10, 14, -19, -18, -6],\n [20, 7, -19, 9, 17, -16, -15, -16, -9],\n [-17, 3, 4, 5, 12, 0, 2, 16, 16],\n [-9, 16, 0, -8, 12, -15, -9, 17, 9],\n [16, -3, -5, -14, -20, 7, -18, 18, -11],\n [-7, -6, -15, 18, -5, -3, 14, 4, 12],\n [12, -2, 17, -10, 18, -18, 17, -20, 19],\n [4, 11, 15, -17, 2, -5, -10, 1, 18],\n [12, 20, 17, -8, 0, -9, 5, -20, 20]]\nB =\n[[1, 6, 11, -13, 13, -3, -17, -20, -5, 9],\n [2, 10, 7, 16, -5, 20, -12, -19, -19, 11],\n [-5, -8, 6, 10, 12, 0, -2, -8, -2, 14],\n [14, 12, -18, 0, 19, 2, -10, -17, -17, -6],\n [7, 15, -13, 3, 13, -6, 2, 6, -7, -19],\n [14, -14, -5, 1, 7, 11, -14, 1, -19, -13],\n [-14, 17, 0, 1, 14, -3, -12, -19, -4, 19],\n [-1, -15, -10, -16, -11, 2, 12, 19, 15, 18],\n [13, -4, 5, 6, -18, -2, -13, -4, -20, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32316", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[15, -18, -2, 6, -18, 13, -16, 16, -5],\n [-7, 9, 11, -9, 6, 5, 8, 2, 1],\n [-1, 17, -5, 10, -18, 0, 18, -16, -1],\n [2, 11, -12, -18, 6, 6, -11, -5, 3],\n [2, -12, -19, -15, 16, 14, -14, -6, 0],\n [17, 15, 2, 8, -8, -16, 18, 18, -20],\n [-1, -20, 14, 19, -14, 14, 13, -16, 8],\n [6, -14, -20, -12, -20, 6, -4, 11, 20],\n [9, -6, 7, -18, 7, -16, -19, 17, -5]]\nB =\n[[-4, -9, 5, -14, 3, -5, -3, -13, 6, 5],\n [10, -3, -19, 20, 2, 1, 12, -3, -6, 20],\n [-18, 2, -19, -17, 5, -2, -11, 1, -15, -20],\n [-5, -14, 3, 14, -7, -17, 20, -6, 2, -2],\n [-7, 6, 15, 17, 1, -10, -17, 11, 19, 20],\n [3, 13, -18, 17, -19, 2, 19, -1, -13, 14],\n [-18, 11, 10, 10, -20, -9, -3, 3, 15, 8],\n [4, 2, -18, 9, -4, 9, -2, -16, 19, 13],\n [-12, 18, 5, -16, 3, 10, 3, 0, 1, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 9, -11, -18, 18, 8, 4, -19, -8],\n [6, 8, -7, -17, -13, -16, 6, 3, 13, 7],\n [3, -16, -8, -3, -4, 9, 17, -2, 1, -3],\n [5, -6, 7, 9, 7, -1, -17, -17, 16, -6],\n [13, -10, 2, 14, 14, -10, -19, -6, 19, 7],\n [10, 11, 13, 1, 8, -13, 1, -9, 2, 17],\n [-19, -9, 0, -9, 10, -12, -6, 11, -12, 3],\n [-13, 7, -3, 16, 15, 16, 11, 0, 18, 8],\n [-3, 2, 12, -12, 17, -17, -5, -18, -13, -5],\n [-19, -2, 3, -5, 19, -19, 11, -20, -3, 18]]\nB =\n[[11, -12, -18, 3, -10, 7, -5, 8, 20, -9],\n [-17, 5, -17, -10, -19, 10, -18, 4, 13, -20],\n [-16, 18, 10, 15, -18, 17, -9, -5, -13, -10],\n [-7, 6, -3, -13, 12, -17, 9, -1, 9, 6],\n [4, -15, -16, -7, -7, 13, 20, 4, 18, -3],\n [-1, -13, 5, 0, 6, 11, -4, -20, 6, 15],\n [-10, 20, 20, 14, 17, 17, 15, -11, 19, -20],\n [1, -4, -9, -8, 4, 5, 19, 18, 12, -13],\n [-8, 5, -4, 3, 3, -9, 10, -5, -5, 9],\n [7, -18, 12, 3, 9, 19, 7, 18, -19, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30447", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[16, -11, 19, -8, -2, -15, -3, 19, -12, -4],\n [-17, -15, -10, 5, -10, -13, -18, -19, -3, -19],\n [5, -9, 16, 5, 15, -5, -7, -19, 0, -14],\n [-10, 8, 16, 18, 7, 19, -17, -17, 6, -15],\n [13, 20, 19, -3, 9, 12, -1, 15, -16, 14],\n [-2, -9, 5, -2, -10, -1, -12, -1, 6, -16],\n [-11, -12, 4, -8, 11, -13, 6, 1, 7, -3],\n [2, 20, 10, 20, 13, -14, -16, 0, -15, 14],\n [2, -18, 12, 17, 2, -5, 4, -5, 4, -14]]\nB =\n[[-13, -18, -16, -2, -14, 1, 5, 4, -15, -16],\n [17, 17, 1, 10, 1, -10, 11, -4, 20, 1],\n [-5, -6, -13, -18, -8, 9, 7, -12, -9, 4],\n [16, 0, 18, 18, -2, -13, 17, -18, 1, -20],\n [17, -2, 0, -8, 6, -4, -1, 9, 17, -10],\n [6, 17, 7, 5, 18, 12, 11, 4, 3, 19],\n [6, 1, -1, 12, -16, 8, -16, 18, -4, 8],\n [-10, 1, 10, 18, -20, -6, -2, -11, -12, -8],\n [5, -15, 19, -19, 8, -9, 2, -18, -10, -16],\n [-11, -15, -5, 10, 2, 9, 19, -1, 4, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8366", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 8) when matrix A is multiplied by matrix B?\nA =\n[[-16, -18, 13, -9, 6, -16, 20, 1, -17],\n [7, -14, 13, -19, -12, -6, 10, 15, 20],\n [-6, 12, 10, 6, -19, -12, -20, -2, -12],\n [-19, 16, -20, -9, 5, -11, -20, -20, 10],\n [-10, -16, 14, -10, -17, 17, 18, 0, 15],\n [7, -13, -1, 0, 14, 11, 15, 20, -16],\n [-17, -14, 13, -1, -14, 3, 0, -12, -2],\n [-1, 7, 11, 13, -5, 17, -4, -10, -17],\n [19, 19, -3, -15, 11, -16, -6, -5, -4],\n [16, -6, 14, -13, 14, 15, 6, -7, 2]]\nB =\n[[-1, -15, 3, 2, 15, -9, -19, 6, 11],\n [8, 19, 19, 12, 8, 12, 15, -4, -11],\n [-20, -4, 7, 17, 15, 6, 16, 4, 13],\n [-18, 8, 14, 20, -11, 17, 17, -20, -20],\n [11, 1, -2, 14, -15, 13, -6, -18, 16],\n [1, 8, -7, 9, -6, 8, -7, -18, 1],\n [12, 2, -14, -1, -14, -4, 11, -6, -8],\n [-18, 4, 11, -5, -20, -18, -1, 7, 1],\n [15, 20, -20, -7, -6, 11, -3, 17, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-801", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -10, -14, -12, -20, -13, -10, -16, 8],\n [-15, -9, 18, -14, -9, 12, -2, 15, -2],\n [0, -2, -12, 1, -2, 16, -10, 4, 14],\n [-16, 10, -7, -8, 13, 13, -3, -15, 0],\n [19, -16, -19, -15, -13, -19, 2, -1, -17],\n [-6, 9, -1, 3, -12, 0, 17, 20, -8],\n [-16, -7, -14, -15, -9, -5, 11, -10, -17],\n [8, 13, -12, -11, -13, 15, 11, -15, -15],\n [6, -19, -12, 17, -16, 13, -7, -11, -14]]\nB =\n[[-1, -10, -8, -4, 16, 15, 12, -11, 13, -8],\n [4, 12, -11, 3, -16, -11, 18, 6, 15, 12],\n [7, 19, -18, 10, 8, 0, 11, 7, 0, 14],\n [9, -4, 8, -19, 12, -17, 18, 4, -16, -17],\n [8, 16, -13, -1, 20, -15, 15, 11, -16, 19],\n [-1, -17, 18, 1, 12, 10, 20, 8, -16, -11],\n [-10, 16, 1, 3, 0, 15, -5, -19, -6, 20],\n [5, 9, -19, 8, -15, -20, 19, -10, 2, 5],\n [10, -6, -12, 13, 18, -4, 14, 15, -18, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9084", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 7, 7, -2, -19, 11, -10, -5, -10, -18],\n [8, -16, 7, 10, -8, 4, -15, -18, 1, 20],\n [18, 11, 9, -14, 4, -19, -13, 12, 7, -11],\n [17, -3, -8, 0, 12, 2, -20, 19, 0, -16],\n [14, -3, 17, 15, 8, 5, 15, 17, -3, 8],\n [10, -8, 9, -14, 19, -15, -19, -13, -11, 1],\n [-11, 14, -2, -17, -2, 20, -1, -17, 5, -18],\n [9, 15, 20, -15, 18, 6, -5, -5, 15, 13],\n [18, 3, 18, -15, -1, -12, 0, -10, 9, -20],\n [6, -15, -14, 1, 13, -1, -6, -12, -3, 15]]\nB =\n[[9, -10, 12, 19, -15, 18, 1, 18, -2, 1],\n [10, 4, 20, 9, -17, 5, -14, 19, -9, -20],\n [-15, -20, -13, 12, -17, 19, -15, -18, -6, -15],\n [-15, 16, 6, 20, -16, 18, -4, 2, -4, 20],\n [2, 18, 12, -19, -11, -2, 19, -12, -6, 3],\n [-9, 1, -3, -19, -6, 18, -12, 1, -4, -7],\n [10, 20, -14, 14, 13, -18, -19, 6, -19, 20],\n [-16, 0, -14, 4, -20, -12, -19, -18, 16, -17],\n [0, 5, 16, -7, -11, 5, -11, 16, -3, 6],\n [-4, -11, -10, 3, -2, -5, 2, -9, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-383", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 7) of the product matrix AB given:\nA =\n[[-18, -8, 0, 1, 8, 4, 2, -9, 2],\n [-16, 8, -16, 18, 14, 14, -4, 9, -19],\n [-6, 2, 5, -10, 3, -12, -7, 3, -14],\n [-11, 12, 12, 6, -13, -7, -14, -3, 5],\n [20, -6, 12, -10, -2, -3, 1, 15, -3],\n [-3, 1, 4, 10, -12, 17, -2, 4, -6],\n [-16, -10, -8, 13, -13, 4, 6, -10, -3],\n [-11, 12, 15, -4, -16, 2, -18, 18, 16],\n [-11, 6, -14, 8, 18, -15, -12, -13, -7]]\nB =\n[[17, -12, -10, -10, 19, 14, -10, 15, -18, -2],\n [-13, 7, -20, 19, 9, 20, 17, -10, 8, 10],\n [-11, 14, 19, 8, 16, -19, -20, 11, 3, -19],\n [-18, -12, 3, -9, 13, 13, 2, -2, 11, 7],\n [5, -9, 10, -10, 19, -17, -3, 8, 18, 10],\n [7, 6, 9, -10, -7, -17, 15, -20, 18, 16],\n [12, 0, 3, 19, -8, 13, 17, 8, 15, 19],\n [-16, -1, 8, -10, -13, 7, 20, -3, 9, -7],\n [-12, -11, 4, 6, -19, -18, 8, 16, 6, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "780", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[14, 6, -2, -11, 5, -14, 6, 9, -9],\n [19, -16, -8, 20, -17, -19, 16, 13, -15],\n [5, -10, -20, 13, 0, -11, -16, 5, -2],\n [0, 13, 8, 17, -6, 19, -5, -3, -20],\n [-10, 15, 11, 7, -15, -14, 19, 3, -11],\n [9, -4, -13, -9, 5, -4, 14, -16, -10],\n [-5, 9, 19, -15, -1, -1, 3, 6, -18],\n [3, -11, 4, 7, -3, -7, -20, -1, 4],\n [-9, 18, -12, -12, 20, 4, 9, 19, 7],\n [-19, 4, -3, 3, -3, 6, 14, 13, 17]]\nB =\n[[-15, -5, 2, 7, -8, -9, -10, 1, 10],\n [6, 6, 19, 5, -14, -10, 1, 19, -2],\n [17, -1, -2, -2, 15, 6, -4, -3, -1],\n [20, -13, 19, -10, 9, -9, 2, -15, 14],\n [-6, 17, 7, -14, -15, 6, -19, -15, 11],\n [8, 13, -20, -6, -11, -11, -11, 16, 11],\n [15, 4, -6, -12, -5, 20, -2, -9, 14],\n [-16, 17, -15, -7, -9, 1, 20, -17, -3],\n [10, 14, -17, -12, -6, 0, 11, -12, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "767", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -16, 10, 4, -20, -18, 0, 7, -18, 11],\n [11, 9, -8, 13, -17, -3, 11, -7, 11, -15],\n [-4, -13, 14, 3, -18, -4, 15, 19, -4, 9],\n [4, 1, 16, -10, -9, 0, -6, -9, 1, 18],\n [14, -5, 12, -7, -3, -5, 19, -18, 5, -6],\n [15, 6, -4, -7, -19, 6, 3, 19, 14, -17],\n [5, 15, -17, 13, -8, 19, 20, -20, -20, -12],\n [-10, -5, 8, 15, -6, 18, -19, -11, -10, 9],\n [2, 1, 15, 8, 11, 12, 18, -12, -20, -3],\n [1, 16, -7, 1, 12, -15, 6, -15, 20, -5]]\nB =\n[[-19, 16, 8, 2, 0, -8, -20, 8, -14, 10],\n [1, -5, 7, 18, 4, -7, 0, -2, -8, -19],\n [15, -7, 13, -3, 3, 9, -2, 15, 0, -2],\n [5, 14, 19, -17, 0, -18, -16, 8, -2, -4],\n [13, -1, 7, -12, -18, -11, 0, 20, -17, 1],\n [-14, -9, -10, 1, 8, 6, -1, -7, -14, -6],\n [7, -11, -18, -9, -8, 18, 13, -20, 17, 4],\n [-2, 4, -15, -17, 5, 5, 5, -7, 11, 7],\n [-19, 20, 0, -7, 16, -19, -16, 17, -19, -20],\n [1, 20, 4, 9, -12, 16, -11, -6, -18, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "696", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 15, 0, 13, 6, -12, -11, 6, 4],\n [-8, -17, -5, -9, 4, -5, 18, -19, -12],\n [-8, -7, -9, 14, 1, 0, -18, 1, -12],\n [19, -18, 10, 16, -15, -7, -2, -3, -14],\n [15, 8, -18, -8, 15, 20, 4, 7, 17],\n [-10, 20, -12, 1, 0, -2, 12, -17, 12],\n [-5, -20, -6, 1, 11, 16, 2, 12, 19],\n [1, 19, -9, -3, 11, -18, 15, -20, 4],\n [-1, -4, 1, 12, 5, 6, 13, 2, -5],\n [-7, 20, -7, 5, 6, 19, -17, -12, 6]]\nB =\n[[18, -6, 4, -3, 9, 16, -5, -9, -4],\n [4, -6, 4, 0, -2, 3, -14, -9, 18],\n [-10, 12, 4, 18, 13, -10, -5, 11, -6],\n [19, -6, -14, 16, 19, -19, -15, 15, 18],\n [17, 7, 1, 16, -16, -3, -10, -13, -1],\n [-10, 6, 8, 4, -2, -19, 18, -19, -14],\n [10, 12, -10, 19, 19, -8, -11, 17, -1],\n [0, -7, 3, 19, -14, -16, -15, 19, 14],\n [-12, -20, 18, -1, -15, 11, -8, 18, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 16, -9, -15, -6, 0, 0, 7, 15, -4],\n [-14, 2, 1, -11, -3, -19, -9, 18, 1, 1],\n [1, -15, 16, -1, -15, -12, 8, 16, -16, -8],\n [6, 2, 16, 13, 4, 16, 2, 7, 5, -9],\n [18, -18, -12, -6, -13, 7, 5, -5, 13, -1],\n [-20, 3, 8, -17, -17, 17, -18, 19, -19, 8],\n [7, -9, -6, 20, 10, 16, 11, 1, -18, -4],\n [8, -9, -7, -13, 20, -19, 13, 3, -1, -11],\n [19, -14, -20, -11, -16, 19, 0, -12, 8, 10],\n [6, -15, 10, 20, 15, -19, 0, 13, 1, -8]]\nB =\n[[-2, 12, 17, 19, -18, 17, -2, -14, -6, 17],\n [4, 1, 2, -11, 15, 16, -14, 4, 19, 20],\n [3, -16, 0, 19, -1, 8, 16, -1, -3, -17],\n [-10, 1, -7, 7, -17, -5, 17, 2, -8, -1],\n [-16, -2, 0, -16, -7, 15, -15, -16, 3, 8],\n [8, -19, -15, 13, -9, 1, -17, -15, -18, -8],\n [2, 14, 5, -12, 2, -17, 13, 16, -13, 13],\n [16, -15, -14, 20, 18, 15, -16, -18, -4, -2],\n [-20, 16, -12, -17, -11, 11, -20, 2, -4, 9],\n [6, -6, 17, -14, 12, -16, 18, 13, -18, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-972", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-19, -5, -4, -9, -16, -17, -5, -3, -1, -12],\n [-5, 14, 8, 9, -1, 1, 2, 15, 1, -20],\n [0, -2, -13, -16, 19, 8, -3, 8, -6, 10],\n [-6, -18, 12, 3, 17, 3, -8, 6, 12, -2],\n [4, -15, 12, 4, 2, -4, 0, -1, -9, -8],\n [-3, 1, 3, 12, -18, -4, 18, 11, -4, 4],\n [-13, 14, 8, -9, 15, -12, 5, 1, 10, 9],\n [-6, 12, -18, 13, -4, -16, 9, -6, 18, -13],\n [17, 7, 0, -11, 7, 0, 7, 1, 17, -2],\n [17, 3, 7, -8, -12, -12, 0, 3, 10, 8]]\nB =\n[[19, -11, -17, -18, -8, 0, -13, -12, -20],\n [-7, -9, 15, 1, 15, -5, -10, -18, 13],\n [4, 5, -18, -1, 10, -20, 5, 4, -10],\n [-5, -1, 17, -19, 8, -14, 19, 4, -17],\n [13, 4, -13, 11, -3, 19, -10, 16, 18],\n [15, -11, -15, -5, 4, 13, 10, -13, -4],\n [-7, 9, -3, 15, 0, 10, 12, 2, 17],\n [-16, -6, 9, -5, 19, 8, 7, -15, -16],\n [17, 4, 7, -20, -7, -2, 10, -6, -2],\n [17, 11, 10, 16, 5, 20, 4, 19, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30431", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-17, 10, 11, 13, -18, 20, 5, -17, -19, -2],\n [2, 4, -14, -13, -18, 2, 12, 7, 1, 14],\n [13, 9, 15, -7, -12, 1, 7, 20, -7, -6],\n [16, 3, 13, -18, 2, -1, -6, -5, -14, 12],\n [-2, -3, 20, -3, -18, -18, 15, -5, 2, 2],\n [-6, -12, 19, 17, -3, 17, -15, 16, -15, 0],\n [9, 7, -1, -2, -7, -20, 6, 11, 8, 10],\n [4, -14, 18, -5, -10, -3, -16, -19, -11, 5],\n [3, 5, -5, 4, 17, -15, -9, -12, -13, 10],\n [20, 11, -14, 11, 4, 12, 7, -10, 10, -11]]\nB =\n[[-19, -17, 1, 7, -11, -19, 10, 2, -5, -12],\n [-15, 4, -17, -9, 3, 6, -18, -9, 9, -9],\n [20, 19, 1, -6, 7, -4, 4, -18, 15, 10],\n [-6, 7, 10, -1, 0, 6, -2, 15, -9, 14],\n [12, 15, 20, 2, -8, 9, -11, 20, -1, -15],\n [10, -2, -18, -11, -11, 0, -19, 18, 9, 7],\n [-3, -7, -2, 19, 15, 20, -9, -1, 13, 15],\n [0, -2, 20, 20, 14, -13, 1, 17, -3, -13],\n [-19, -1, -16, 9, -3, 2, -19, 16, 11, -20],\n [18, -20, 10, 18, -13, -18, -9, 13, 4, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38990", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, -6, 0, 4, 17, 16, -5, -20, 16, -7],\n [13, -19, 10, -2, -2, 2, 9, -4, -19, -10],\n [-7, 20, 8, -2, 7, -20, -16, 13, -7, -2],\n [3, 19, -4, -19, 10, -4, -13, -4, 17, 5],\n [19, 19, -14, 3, 9, 5, 9, 14, -19, -17],\n [-16, -19, 10, 6, 3, -17, 7, -16, 6, -16],\n [-16, -12, 6, -17, 3, 6, -20, 11, -5, 2],\n [7, -1, -4, 15, -13, -3, -8, -12, 16, 9],\n [7, -3, -1, 15, -2, -16, 13, -4, 7, 15],\n [17, 9, -3, -15, 5, -6, -20, -4, 10, -19]]\nB =\n[[15, 14, 6, -18, -1, -13, 8, -13, 20],\n [6, 5, 18, -11, 9, 12, 15, -1, -17],\n [2, 8, 11, 16, 16, 5, -16, 3, -19],\n [-6, 19, -13, 16, 16, -7, -16, -12, 1],\n [9, 12, 17, 16, 17, -14, -18, 19, 11],\n [15, 20, -2, 10, 9, 16, 4, -8, -9],\n [-12, 19, -12, 6, 20, 10, -15, 8, 9],\n [17, -10, -15, 18, 20, 10, 14, -9, -15],\n [5, 16, 11, -17, 19, -18, -19, -1, -2],\n [18, -9, 15, 7, -12, -10, 9, -19, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34758", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[17, 12, -14, 0, -9, 0, 2, -15, -7, 11],\n [-8, 6, -10, 11, -18, -19, 9, -19, 18, 8],\n [1, 4, -2, -5, -4, 6, -2, 9, -7, 11],\n [2, 15, -11, 17, 8, -10, 17, -6, 11, 6],\n [17, -20, 20, -7, -18, 9, 10, -20, -7, 15],\n [15, 20, -6, 17, 4, -7, 3, -19, 13, 2],\n [-13, -16, 8, 12, -1, -5, 16, 16, 20, 3],\n [8, 14, -12, 1, -1, 19, -17, 15, -9, 2],\n [18, -13, -11, 2, 8, 11, -7, -5, 18, -4]]\nB =\n[[-1, -9, -12, -13, 20, 16, 0, 11, 16, -3],\n [8, -14, 19, 16, -15, -1, -12, -12, -13, -4],\n [3, 19, 2, 12, 1, 1, 6, -19, 10, -8],\n [-19, -14, -10, 5, 0, -6, -5, -12, 0, 20],\n [-15, -20, 10, -16, 16, 5, -20, -20, 8, 1],\n [17, 20, -2, 7, -16, 0, 1, -1, -9, -15],\n [8, 19, 14, -10, 12, 4, -7, 8, -8, -6],\n [-13, 12, -10, -6, 0, 15, -15, 4, -20, 12],\n [18, 11, -19, 4, 19, 12, 17, -10, -2, 4],\n [7, -11, 10, -5, -3, 1, 14, -9, 7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4028", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, -3, 3, -2, -7, -19, -10, 5, -13],\n [-18, -6, 19, -8, -5, 1, 12, -19, 8],\n [13, -5, -7, 18, -16, -3, 5, -11, -15],\n [-7, -19, 6, -12, -8, 0, -19, -18, -8],\n [0, 12, -1, 15, -3, 4, 17, 4, 17],\n [-6, -4, 15, 8, 12, 11, -13, -8, -4],\n [0, -7, 4, 3, 12, -13, 7, -2, -10],\n [-11, -20, -16, -5, -1, -1, 7, -16, -18],\n [9, 2, 13, 7, -20, 6, 13, 10, 11],\n [-14, 17, 13, -17, -2, 1, 8, 13, 13]]\nB =\n[[-18, 0, 17, 0, -4, 8, 12, 18, 5, -14],\n [-12, -3, -20, -10, 1, 11, -11, 6, -9, 9],\n [-11, -9, 17, 0, 6, -15, 17, -13, 16, -15],\n [13, 19, 1, 8, -12, 0, 11, -13, -11, 2],\n [-1, -8, 1, 20, -6, 10, 11, -8, 4, 0],\n [-17, -6, 0, -13, 10, -11, 0, -4, -16, -8],\n [0, -9, 4, 7, -19, 0, 20, 1, -19, 9],\n [-20, -8, -18, -1, -16, -19, 5, 8, -3, -12],\n [1, 7, -9, 16, -3, 13, -18, -16, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 7, -4, -15, 6, 8, -9, 14, -16],\n [-19, -10, -17, 1, -20, -5, -19, 20, 6],\n [-9, -16, -16, 1, -8, -5, 5, -12, 11],\n [-2, 15, 7, -6, -12, -5, -15, -13, 12],\n [11, 15, 15, 13, -19, -8, -11, 17, -14],\n [-18, 6, -7, 9, 13, 2, -4, -6, -14],\n [-18, -12, -18, 14, 19, -13, 5, -6, -16],\n [-8, -6, 18, -9, 14, -13, -11, 13, -13],\n [1, -9, 1, 6, -3, -2, -16, -5, 20]]\nB =\n[[-11, -2, -20, 1, -4, 14, 18, -12, -16],\n [-12, -10, -7, 19, 3, -1, 12, -17, -5],\n [4, -20, 3, -18, 11, 13, 4, -18, -14],\n [14, 8, 19, 4, 7, 3, -16, 6, -11],\n [-9, -3, 17, -13, 17, 9, -12, 4, 9],\n [-19, -4, -14, 1, -11, 5, -8, 7, 15],\n [-10, -12, -5, -4, -16, -16, 17, 10, -19],\n [6, -2, 4, 17, -8, 8, -2, 14, 4],\n [-12, 14, -6, 1, -8, 9, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[19, 1, 20, -18, -12, 3, 11, -4, 20, 3],\n [-13, -15, -12, -6, 3, -10, 10, -8, 9, 4],\n [-9, 0, 3, 5, -9, 16, 0, 2, -20, -11],\n [14, 17, 7, -20, -13, 20, 2, -1, 11, 2],\n [-14, -10, -13, -7, -7, 15, 20, 19, 6, -1],\n [17, 4, 8, -7, 7, 9, -6, 0, -9, -10],\n [18, -15, -18, 20, -6, 13, -17, 13, 17, 18],\n [20, -15, 1, 16, 11, 7, 5, -17, -11, 6],\n [-1, 15, -16, -4, 11, 14, 2, -8, -20, 10],\n [-2, 2, 13, -17, 13, 9, -11, -15, -9, -9]]\nB =\n[[-3, 15, 14, 4, 20, 1, 9, 8, -14],\n [19, -18, 0, -1, -12, 20, 15, -7, -3],\n [12, -19, 16, 10, 1, -12, -1, -1, -20],\n [9, -2, 15, -7, -20, -16, -11, -12, -7],\n [18, -3, 4, 15, 10, 14, 6, 1, -10],\n [-11, -13, 20, 7, 2, -15, -7, 3, -12],\n [19, 17, 4, 17, 9, 1, -19, 4, 3],\n [16, -18, 5, 9, 8, -14, -12, 9, -5],\n [19, -7, 5, 16, -11, 9, 1, 9, 11],\n [-7, 2, -4, 15, 8, 3, -10, 20, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 6, 13, 12, 0, 3, -1, -17, 16, 16],\n [12, 10, 13, 1, 9, -16, 20, 2, -8, -12],\n [-7, -4, 14, -3, -9, 20, -5, 9, -8, -3],\n [-9, 13, 12, -15, -3, -18, -15, 15, 1, -14],\n [9, -19, 11, -6, 1, 17, -13, -13, 18, 15],\n [-1, 16, -13, -7, -1, 14, 4, -3, 0, 16],\n [10, -15, -1, 7, 20, 15, 19, 5, -8, -17],\n [13, 16, 13, -5, 2, 2, -6, 4, 8, 15],\n [-6, 16, 14, 18, 16, 20, 7, 9, -14, -17],\n [-14, 12, -3, -6, 14, 16, -16, 2, -11, 4]]\nB =\n[[1, 10, 2, 7, -6, 19, -14, 17, 19],\n [-6, -16, -9, -8, -18, -2, 5, 9, 7],\n [-6, -3, -14, -7, 3, 3, -10, 18, 19],\n [-11, 12, -1, 18, 1, 14, 7, 15, 9],\n [-15, -20, -17, 4, 18, -10, 17, 16, -9],\n [8, 13, -3, -12, -9, -12, -20, -14, 18],\n [13, 11, 7, 5, 15, 19, -7, 10, -5],\n [18, -10, -10, 17, -9, -12, 1, 17, -12],\n [-18, 18, 14, 9, 5, -13, 11, 1, -13],\n [-19, -7, -16, -8, 2, -8, -2, 3, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5197", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 8) when matrix A is multiplied by matrix B?\nA =\n[[-7, -17, 5, -11, 17, 17, 13, 13, -2, -18],\n [15, -17, 5, -10, -18, -12, -19, -7, -18, -19],\n [1, 8, 12, 15, -11, 17, 0, 10, 14, -18],\n [-2, 1, -1, 15, -2, -17, 11, -13, 5, -20],\n [5, -12, 14, -3, -2, -5, 7, -18, -3, -8],\n [6, 19, 18, 3, 8, 1, 5, -1, 3, -9],\n [-3, -9, 17, 11, 2, -17, -9, -4, 0, 16],\n [8, -15, 7, -13, 10, -1, -5, -8, -6, -8],\n [-19, -1, 7, -3, -14, 0, 20, 18, -12, -11],\n [10, -8, -16, 19, 17, 15, -19, -15, -8, 8]]\nB =\n[[-7, 9, 4, 19, 14, 16, -14, 17, -3, -13],\n [-14, 13, 15, 20, -11, 19, 8, -5, 4, 8],\n [-13, -1, 15, 6, -8, 5, 4, 7, -12, 5],\n [-9, 5, 1, -20, -9, 3, 9, -7, 2, -19],\n [-18, -15, -2, 0, -1, 0, 19, -17, 4, -14],\n [-14, 12, 5, -4, -13, 5, -6, -1, -2, -14],\n [-20, 18, 16, -3, -13, -6, -15, 16, 1, -10],\n [5, -13, -12, -8, -18, -18, -14, -18, -10, 7],\n [10, -12, 6, -9, -13, 20, 1, -3, 9, -10],\n [-19, 8, 5, -7, 7, 14, -15, 15, -9, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-366", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-15, 16, 16, -13, 16, 19, 12, 20, 10, 13],\n [-10, 15, -17, -4, -5, 9, 18, -16, 19, 16],\n [5, 7, -2, 0, 7, -2, 15, -10, -2, -16],\n [-19, 4, 5, 9, -4, 0, -1, -3, -5, 7],\n [-9, 19, -15, 3, -15, -4, -2, 7, 8, -14],\n [-2, -13, -13, -16, 13, 0, -17, 15, -16, 2],\n [-2, -6, -7, -13, -12, 19, -10, -3, 11, 15],\n [0, 6, 0, -10, 13, -16, 7, -11, -9, 20],\n [-18, -20, 16, 19, -20, -8, 17, -6, -14, 9],\n [3, -13, -18, -6, 15, 20, -7, 6, 9, 20]]\nB =\n[[16, -15, -2, 16, -20, 4, -11, 5, 2, -4],\n [9, 6, -10, -17, -3, -2, 15, 5, -20, -1],\n [-10, 4, -2, 11, -20, -20, -18, 19, 11, 15],\n [-13, 9, 18, 13, -13, 4, 5, 6, -2, 2],\n [20, -5, -13, 9, -13, -10, -14, 0, 13, 0],\n [-16, -4, 0, -15, -14, -10, -3, 17, -9, 1],\n [-18, -2, 2, 13, -18, 2, -16, 8, 13, -16],\n [8, 3, 18, 0, 11, -16, -3, 17, 14, 17],\n [-5, 14, 3, 15, -16, -12, -17, 12, 6, 1],\n [-10, -16, -11, -18, -6, 16, 19, -4, -1, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-385", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[13, 13, 10, 13, -18, 7, 20, 16, 8, -6],\n [15, 14, 20, -11, -4, 9, -13, 2, -2, 16],\n [15, -17, 5, 19, 6, -8, 13, 12, 5, -1],\n [-13, -5, -16, 13, 6, 15, -17, -14, 16, 15],\n [3, -6, -15, 5, 5, 4, 12, -18, -12, 16],\n [17, 9, 6, -8, 2, -18, 2, 14, 3, 16],\n [-9, -1, -3, -14, 5, -9, 13, 11, 9, -19],\n [-13, 12, 9, 7, -8, 3, 12, -16, -15, -17],\n [13, 8, 0, 5, 11, 1, 20, -7, 13, 16],\n [-20, 11, 11, 3, 0, -9, -1, 16, -1, -19]]\nB =\n[[-7, -4, 3, 9, -6, 13, -13, -18, -10],\n [6, -12, -6, 11, -10, -18, 5, -14, 7],\n [18, -17, 9, 17, -7, 15, 10, -2, -9],\n [-6, -12, 6, -1, 7, 4, -5, -3, 15],\n [-17, 0, 6, -20, -16, -11, 0, -11, 5],\n [-5, 17, -18, -1, -16, -15, 4, 4, -9],\n [-20, -18, 0, -16, -6, -17, -2, -4, -13],\n [16, 3, -17, 3, -2, 3, 20, 0, -4],\n [-13, 10, -2, -10, 2, 16, 7, 2, -9],\n [-5, -5, -7, -14, 0, 0, 20, 14, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-753", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[-20, -7, -1, 7, -3, -18, 6, -15, -17, -20],\n [0, 14, 7, -3, 14, 0, -5, 5, 18, -12],\n [2, -19, -18, 12, 3, 2, -15, 0, -16, -8],\n [19, -8, -2, -12, -18, 10, 18, -8, 20, -10],\n [20, -10, -20, 14, 14, -18, -17, 3, 9, 11],\n [-1, 15, -8, 18, -17, 7, 19, -14, -12, 1],\n [-17, 15, 12, -15, -18, 14, 12, -14, 20, 14],\n [-18, -3, -18, 18, 6, -12, -4, 20, -16, -17],\n [-7, 8, -10, 1, -16, -9, 0, -6, 3, -8],\n [11, 5, 19, 5, 15, 9, -12, 3, 17, -3]]\nB =\n[[-12, 1, 17, 0, -14, -9, 15, -10, -18, 6],\n [-14, -19, -11, -18, -4, -20, 13, -8, -7, -4],\n [13, -4, 20, 4, 9, 15, -10, 0, -1, 8],\n [-17, 13, 20, -4, -9, -17, 20, -7, -17, 13],\n [-3, -8, -11, -7, -12, -1, -20, 8, -4, -13],\n [-4, 0, 4, -1, 4, 0, -8, -8, 9, -8],\n [19, -14, -9, -19, -7, -4, -8, -20, -20, 5],\n [-8, 13, 19, -12, -2, 2, 20, 7, 9, -14],\n [-7, -19, -9, -19, 7, 7, -9, 9, 19, 19],\n [1, -3, -7, 4, -11, 15, -12, -10, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-20, 18, -10, -18, -19, 3, -1, 19, -6, -15],\n [-1, 1, -19, -6, 13, 10, 9, 7, 12, 20],\n [0, 2, -8, 5, -2, 6, 19, -14, 4, 19],\n [15, -14, -1, 3, 7, -16, 15, 10, 12, 3],\n [-11, 17, -16, 10, -12, 11, 20, -16, 6, 7],\n [-9, -16, -13, -4, -13, 13, 2, -3, -11, 18],\n [20, -16, -4, -10, -2, 0, -18, 19, -20, 3],\n [15, -15, -11, 19, 13, 3, 2, -1, 17, 14],\n [13, 15, -5, 2, -20, -12, -9, 16, -4, -18],\n [17, 8, 10, 14, 17, 5, -8, -2, 11, 6]]\nB =\n[[18, -8, 13, -2, -2, -18, -18, 5, -15],\n [-8, 17, 6, 20, 3, -11, -5, 2, -9],\n [7, -8, -3, -19, -4, 2, 2, -20, -7],\n [-9, -7, 17, 20, -5, 13, -3, -11, -2],\n [9, -17, -14, -5, 16, -16, 18, 12, 14],\n [13, 12, 18, -11, -18, 8, 14, 10, 18],\n [-6, -20, -2, 16, 6, 0, -14, 12, -19],\n [-7, -18, -7, -16, -4, 18, -20, 7, 17],\n [-7, -4, -6, -14, -14, 3, 5, -7, -2],\n [5, -5, 13, -19, -20, 15, 14, 3, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 20, -20, -12, 15, -5, -6, -11, 16, -5],\n [17, 15, -6, -18, -2, 20, 16, -18, -13, 3],\n [-7, 14, -5, -14, 20, 14, -13, -9, -5, -17],\n [14, 20, 11, -9, 0, -6, 14, -18, -19, -15],\n [-5, 2, 10, 20, 9, -18, -5, -17, 15, 7],\n [7, -18, 5, 18, -8, -14, -8, -17, -5, 7],\n [-8, -11, -16, 15, -2, 9, 20, 7, 10, 15],\n [-20, -12, -9, 2, -9, -12, 5, 9, -1, -5],\n [-8, 14, -17, 4, -8, 7, -9, 3, 7, -20],\n [13, -18, 1, 0, 6, 0, 1, -8, -5, 3]]\nB =\n[[-4, -16, 17, 6, 20, 11, 5, -14, 15, -14],\n [6, 17, 3, 3, 8, 6, 13, 0, -20, -11],\n [9, 7, 9, 7, 8, 10, 20, -17, -2, -11],\n [10, 13, 20, 18, 10, -10, 15, 11, 2, 19],\n [18, -18, 7, 4, 7, -2, -2, 8, -2, -3],\n [3, 17, -5, -3, 20, -8, -17, -8, 14, -17],\n [-2, 3, 12, 12, -12, -18, -18, 9, -3, -19],\n [11, -12, -19, -1, 6, 15, 20, -2, -5, 5],\n [-7, -3, 7, -2, 9, 20, 0, 0, 9, 16],\n [20, 11, 9, 1, 3, -11, 3, -20, 14, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34772", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-16, 10, 16, 4, 4, -18, 17, 11, -1, 9],\n [-19, -16, -2, -1, 1, -10, -3, 6, 10, 14],\n [0, -1, -12, 10, -12, -14, 12, -20, -2, -18],\n [18, -9, 9, -5, -8, 3, -4, 6, 8, 20],\n [-7, -16, 17, -15, 3, 19, 12, -12, -18, 2],\n [0, 1, -13, -1, -7, 9, -13, -2, 17, 15],\n [-15, 13, -11, 10, -10, 14, -10, 19, 11, 5],\n [1, -20, 8, 18, 1, 11, 4, 19, 8, 16],\n [11, 9, -3, -18, -9, -1, -13, 10, 3, -8]]\nB =\n[[-13, -7, -6, 0, -6, 5, 17, 17, 12, -11],\n [-2, -10, -18, 2, -15, 20, 20, 8, -17, -18],\n [-1, -13, -15, -16, -13, -13, 14, -2, -11, 14],\n [-12, -13, -13, -13, -1, -14, 1, -4, -16, 13],\n [4, -6, 10, -2, 10, -9, 2, 2, 15, -10],\n [1, 9, -16, 16, -1, -11, 1, 9, 9, 1],\n [17, 17, 17, -14, 15, -7, -10, -14, 11, -3],\n [13, -19, -14, 10, -3, -1, -14, 1, 16, 13],\n [18, 19, -5, -7, 20, 11, 17, 18, 5, 9],\n [20, 18, -12, 11, -14, -9, 2, -4, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3725", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, 2, -16, -3, 16, 16, -14, -18, -20],\n [-15, -14, 6, 10, -13, -7, -6, -14, -14],\n [12, 20, -14, -1, -14, -7, -6, -3, -11],\n [14, 6, -20, 7, 13, -18, -18, -10, -17],\n [9, 18, 11, -5, -4, -10, 15, 11, 14],\n [6, 13, -16, 4, 7, -3, -18, 7, -19],\n [13, 1, 1, 9, 13, -20, 8, -2, -2],\n [20, 20, 8, 12, -4, 17, -20, 20, 12],\n [15, 1, -3, -4, 11, -1, 2, 7, 5]]\nB =\n[[-14, 20, -1, 20, -10, -14, 17, 6, -12],\n [-17, 17, 8, 5, 4, -7, 16, 7, -13],\n [-10, 14, 10, 13, 15, -4, 0, 5, 20],\n [7, 1, 20, -18, 7, 15, -19, -1, 19],\n [15, -13, 18, 4, -6, 9, 13, -17, 1],\n [4, -12, 2, 18, -9, -7, -14, 10, -15],\n [2, -2, 0, -2, -2, 13, -8, 15, 4],\n [12, 0, 13, 4, -3, -10, -2, 13, -19],\n [9, 17, -6, -10, 3, -17, -2, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 2) of the product of the following matrices:\nA =\n[[-4, -13, -8, 2, 8, -10, -5, 2, -9],\n [17, 3, 10, 17, 15, -20, 5, -4, 15],\n [-4, 16, 6, 4, 9, 20, 4, 17, 11],\n [-9, 0, 13, -20, -8, 0, -20, -8, 10],\n [2, -18, -10, 8, -3, 4, 13, -3, -20],\n [7, -17, 0, -15, 0, 16, 9, -1, 20],\n [11, 10, 15, 4, -16, -13, -4, -6, -1],\n [8, 15, 7, -13, -7, 12, 13, 8, 1],\n [-18, 2, -18, -15, 19, 2, -9, -16, -16]]\nB =\n[[-18, -17, 3, -16, 10, 14, -2, -13, 7, 17],\n [2, -14, 17, -8, 0, 16, -15, -11, 6, 5],\n [7, -5, 7, -18, -20, -18, 9, -2, 12, -13],\n [-2, 15, 16, -16, 13, 17, 6, 18, 3, 10],\n [1, 2, 20, 3, 19, 11, 12, 7, -4, 5],\n [-3, -6, 17, 1, -3, 0, -2, -19, 9, 4],\n [5, 18, -4, -5, 6, -18, 17, 8, -19, 19],\n [-7, -9, 3, 7, 18, -3, 4, 16, -15, 9],\n [10, 13, -2, 7, -13, -10, -5, 5, -20, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-487", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -12, 5, -15, -14, -8, -11, 10, 16],\n [-3, -10, -11, 7, 0, 4, -15, -10, 12],\n [-16, 13, 11, 3, -8, -15, 13, 4, 20],\n [2, -8, 7, -8, -14, -4, -12, -7, 9],\n [20, 17, 9, 12, 4, 10, 2, 6, 12],\n [-1, 7, -13, 1, 14, 10, 3, -6, 10],\n [-16, 1, -4, 7, -18, -2, 17, 6, -4],\n [11, 16, 0, 16, -10, -20, 9, 5, 15],\n [5, 6, 5, -3, 12, 15, 16, 13, 5]]\nB =\n[[1, 3, -9, -10, 0, -5, 15, -14, 7, 3],\n [-8, -7, 10, -13, -20, 19, -4, 20, -8, 6],\n [-8, 19, 6, 11, -9, -8, -5, 13, -15, -3],\n [-4, 18, -7, -14, -15, -9, 13, -20, 8, 7],\n [-16, 0, 18, 17, 13, 0, 3, -8, 2, 11],\n [-13, -10, -8, -1, -20, -19, -10, 9, -16, -14],\n [3, 10, 9, -6, 15, -11, -20, -14, 5, 9],\n [-20, -6, -1, 1, 4, 15, 16, 6, -2, -2],\n [-5, 0, 12, 10, 13, -6, 15, 5, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21051", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[4, -17, -9, -2, -12, 4, 20, -14, 6, -15],\n [14, 11, -7, -15, -3, 10, -5, -18, 10, 17],\n [-4, -16, -5, -4, 10, -5, 0, 20, 18, 16],\n [20, -11, 11, 4, 12, 18, 16, 17, 17, 7],\n [-6, -13, -20, -11, 14, 12, -5, -7, -16, -5],\n [0, -10, -14, -13, -4, 9, -7, 12, 3, -14],\n [17, -6, 4, -4, 12, -19, 18, -11, -7, -9],\n [-4, -7, -11, 18, 19, 8, -15, 19, 10, 16],\n [-12, 12, -14, 17, -13, 13, -4, -4, 9, -3]]\nB =\n[[18, -6, -1, 4, -7, 6, 14, 7, -15, 20],\n [10, -7, -5, 15, -16, 11, -10, 1, 19, 7],\n [-15, 18, -15, -1, 17, -17, 4, -8, -9, -12],\n [-18, 11, -10, -16, 14, 3, 20, -15, -3, 17],\n [-15, 1, -7, -9, 4, -1, -3, 3, -6, 10],\n [-20, -6, 13, -19, 15, 2, 3, 11, -8, 12],\n [-7, -4, -5, 11, -6, 10, -9, 12, -18, -10],\n [-16, 6, -5, 14, 19, -5, -5, 1, -17, 11],\n [6, -6, -2, 5, -6, -11, 13, 17, 5, -13],\n [-5, 8, 11, 0, 11, -9, 18, -11, -15, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-445", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 10, 14, -18, -16, 13, 12, 15, -11],\n [-18, -10, -18, 7, 7, -12, 5, 8, -11],\n [6, 11, -3, -3, 1, -4, 4, 5, -16],\n [-12, 3, -14, -1, 20, -13, -2, 14, 4],\n [-4, 18, 4, 14, 18, 18, -19, -5, -7],\n [8, 18, -19, -11, -19, 6, -8, -19, -7],\n [-4, 17, 15, 13, 8, 2, 2, -5, -14],\n [-20, -2, 12, 13, -20, -9, 4, 2, 4],\n [10, 3, -11, -19, 12, 16, 2, -19, -17]]\nB =\n[[2, 20, 17, 2, -9, 3, 8, 20, 7, -6],\n [-11, 13, 8, 10, 2, -3, -14, 6, -12, -1],\n [0, 7, -18, -11, -4, 14, 0, -12, -4, 11],\n [17, 7, -3, -15, -15, -4, -11, -19, 12, 4],\n [17, -20, -5, 5, 20, -9, -12, -8, -14, -20],\n [10, 14, 3, -18, -2, -17, 7, 9, 15, -17],\n [2, -10, -17, -10, 3, -1, -4, -8, -4, -6],\n [-17, -3, -12, -18, 6, -3, -4, -11, 16, 8],\n [-16, -15, 19, 14, -16, -6, 6, 18, 12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3740", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, -19, -2, -3, -11, 16, 2, 20, -20, -15],\n [-20, -3, 6, 19, 17, -4, 5, -8, -11, 17],\n [5, 10, 2, -1, 2, 6, -6, 17, -10, -13],\n [-7, -8, 1, 13, -20, 16, 11, -10, -11, 9],\n [-9, 20, 13, 4, 15, -17, 0, 9, 17, -9],\n [18, 4, -2, -19, 1, 9, 15, -18, 2, -17],\n [7, -7, -15, -15, 20, 16, -14, -8, -20, 3],\n [13, -11, -15, -17, -13, -6, -9, 18, -15, 0],\n [11, 11, 6, -10, 1, 15, 2, 16, 2, 6],\n [13, -1, -6, -17, 8, 19, -10, -14, -10, 12]]\nB =\n[[9, 11, 19, 16, -8, -14, 3, -10, 10],\n [-7, 5, -20, -15, 10, -9, -20, -15, 8],\n [9, -8, 9, -9, -11, 18, -11, -3, -15],\n [-13, -1, 20, -5, -19, -10, 3, -2, -17],\n [-18, -6, 19, -17, -4, -12, 4, -20, 19],\n [-19, 12, 1, -9, 6, -10, -7, -7, 19],\n [1, -12, -6, 12, -2, 10, -3, -9, 19],\n [16, -20, 13, -14, -19, 1, -17, -1, -18],\n [-12, -3, -5, -12, -2, -15, -6, -15, -16],\n [8, 6, 20, 5, 7, 11, 4, -14, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -9, -12, 13, -18, 16, 7, 1, 5, -2],\n [0, 16, -11, -5, 3, 4, 5, -20, -17, 16],\n [-7, 3, 6, 6, 3, 19, -20, 18, -8, -1],\n [17, 15, -9, -16, -16, -4, 17, -11, -5, 3],\n [8, -7, -11, 8, 7, -4, -16, -19, 15, 19],\n [18, -12, 15, -16, -6, -12, 4, 7, 6, 12],\n [12, 17, -13, -17, 15, 10, -11, 20, -13, 9],\n [-7, 14, -18, 8, -5, -11, -17, -17, -19, -10],\n [-6, -10, 2, 17, 9, -20, 12, 16, 2, -3]]\nB =\n[[-11, -4, -14, -6, 6, -12, 0, 16, 8, 12],\n [-15, 4, 14, -4, 6, 19, 4, -9, 16, 19],\n [17, 20, 4, -19, -20, -18, 8, -7, 13, 1],\n [15, -6, 16, -11, -12, 14, -4, -3, 4, 14],\n [-5, 4, -5, 20, 3, -9, 14, -12, 16, 11],\n [-2, 1, 13, -2, -9, -3, -16, 5, 6, -1],\n [-13, -5, -19, -20, -16, 10, 2, 0, -9, -17],\n [16, -10, 19, -12, 5, 18, 6, 8, 4, -3],\n [9, -13, -19, 1, 0, 18, 5, 8, -16, -7],\n [14, -15, 2, -4, 3, 19, 8, 9, 3, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32913", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[16, -19, 0, 19, 20, -16, 14, 14, -2, -5],\n [4, -5, 10, 12, -4, 0, 14, 2, -5, 17],\n [-7, 19, 20, 12, 0, -4, -17, -5, 9, 13],\n [1, 8, -16, -20, 19, 4, -15, 2, 12, -7],\n [15, -3, 19, -11, 18, -9, 17, 2, -14, 4],\n [-8, 17, -2, 1, 20, -10, -18, -2, 6, -14],\n [16, 6, 13, -10, 17, -16, -14, 15, -16, -16],\n [6, 8, 6, 11, 4, 13, -6, 20, 13, 14],\n [-1, 3, 13, 13, 6, 0, 12, 18, 19, 15]]\nB =\n[[4, -14, -11, -11, 17, 3, -11, 5, 9, 6],\n [-2, -20, 12, -10, 13, 17, -5, -20, 20, 7],\n [-6, -5, 11, 18, -20, -12, 8, 4, -10, -10],\n [-15, 13, -7, -13, 4, -17, 10, 0, 11, -7],\n [7, 4, 7, -6, 1, -15, -19, -15, 2, 5],\n [-10, -20, 7, 1, 20, -8, 20, 15, 1, -17],\n [20, -3, 17, -4, 4, -4, 8, -13, 8, -6],\n [20, 12, -11, 16, -10, 14, 13, 11, 1, -17],\n [-19, 12, -12, 14, 17, 10, -7, 10, 12, -5],\n [-1, -7, 14, 12, 8, -13, 13, -7, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1200", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, -17, -14, -19, -12, 2, 15, -9],\n [2, 10, -10, -20, -8, 18, 8, -15, 10],\n [-12, -3, -18, 11, -18, 9, -15, 6, -19],\n [-1, -4, 12, -4, 16, 8, -12, -17, 19],\n [-8, -15, -12, 5, 18, 20, -7, 13, -17],\n [0, 10, 0, 8, 3, -5, -12, 0, -19],\n [-19, 16, 16, -16, -15, -13, 11, 16, -8],\n [-18, -12, -17, 7, 19, -5, -10, -2, 1],\n [18, -9, 9, 19, -16, 16, 11, 13, -9],\n [-19, -14, 11, 19, 14, -15, 1, 4, -8]]\nB =\n[[2, -12, 16, 16, 9, -1, 17, -5, 1, 17],\n [-11, -1, 20, -19, -18, -13, -12, 7, 0, 12],\n [13, -17, 4, 11, -9, -19, -9, 5, 0, 16],\n [15, -3, 3, 9, -4, -5, -4, -9, 6, -17],\n [14, -20, -9, 8, -13, -13, -9, 15, 13, 15],\n [-17, -10, -18, -11, -9, -12, 0, 13, 1, -3],\n [-15, 4, -6, -20, 19, -3, 10, -1, 4, 12],\n [-11, 8, -2, 7, 6, -2, 10, 14, -7, -15],\n [-12, 20, 6, -4, 15, -17, 3, -5, -4, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[18, 16, -18, 20, 14, -18, -5, -1, -15],\n [12, 6, 9, 14, -3, 9, 5, -6, 11],\n [14, -9, 0, -9, -20, -10, 4, -12, 18],\n [6, 8, 6, 7, 18, -3, -6, -5, 2],\n [9, 15, 14, 7, -18, -5, -6, -2, -11],\n [-17, 1, -3, 1, -5, -18, 14, 20, 18],\n [-5, 0, 0, -20, 9, 13, 18, 2, 13],\n [9, 12, -5, 20, 9, -18, -19, 5, -3],\n [-19, 19, -18, -4, 3, -19, -15, 19, 5],\n [-15, -9, 0, -5, -15, 13, -18, 20, -2]]\nB =\n[[8, 11, -11, 6, 8, -8, -1, 7, 6],\n [-8, 4, 8, -6, 9, 17, 11, -14, 14],\n [12, -9, 2, -16, 10, -5, 12, -20, 1],\n [7, -16, -17, -20, -6, 16, 18, 17, 3],\n [2, -14, 10, -14, -8, -17, -3, 19, -2],\n [-5, -3, -5, 10, 4, -19, 7, -5, 15],\n [19, 14, 3, 14, 9, 16, -10, 13, 17],\n [18, 3, 8, -17, 20, 9, -7, 3, 17],\n [13, 15, -6, 14, 8, 15, -17, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 0, 14, 2, -11, -17, 4, -19, 17],\n [-2, 3, -13, -15, -1, -7, 19, -15, -9],\n [20, -14, 9, -5, -13, -7, -1, 7, -15],\n [9, -17, 15, -18, -11, 17, 6, -3, -10],\n [15, 19, 14, -8, 2, -12, -17, 19, 10],\n [-18, 15, -4, -5, 18, -19, -16, 12, -8],\n [-9, -2, 1, 19, -13, -17, -14, 1, -3],\n [-15, -17, 20, -9, 16, -19, -18, 0, 18],\n [-8, -7, 9, -3, -8, -7, 20, 19, 4],\n [16, 6, 2, -14, -11, 4, 14, 3, -10]]\nB =\n[[-1, -11, 0, 7, 7, 6, 12, -17, 14, -1],\n [-15, -15, -4, -2, -4, -18, 13, -17, 2, -3],\n [13, 8, -6, -10, 18, -12, 14, -11, 19, 17],\n [8, -15, -2, 5, -12, 20, -8, 5, -1, -19],\n [-17, -14, -2, 14, -10, -2, 11, -7, -16, 4],\n [-7, 18, -9, -1, -3, -20, -17, -9, 5, 11],\n [16, -6, 14, 5, -6, -13, 7, 9, -18, -15],\n [10, 5, -13, 18, 8, -4, -5, -17, -11, -5],\n [-2, 18, -8, -17, 11, -3, -5, 4, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8985", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 7, 2, 0, -12, -19, 17, 7, 5, 6],\n [4, 0, 17, 4, 17, -10, 7, 15, -17, -2],\n [3, 1, 4, -13, -1, -20, -17, -9, 4, 0],\n [-2, 13, -15, 14, -18, 12, -12, -14, 20, 6],\n [-20, 19, -3, 14, -4, 18, -10, 16, -10, -18],\n [-8, 7, 17, 13, 7, -19, -19, 16, -5, -13],\n [19, -10, -6, -17, 2, -13, -5, -5, 3, -11],\n [13, -3, -5, 15, -13, -1, 2, 19, -7, -5],\n [17, -3, 19, 9, 15, 15, 18, 19, 20, -20]]\nB =\n[[-4, 7, -14, -1, 3, -20, -3, 5, -7, -2],\n [-3, -14, -19, -14, 7, 7, -4, 9, 0, 16],\n [-12, 15, 1, -6, -7, 6, -3, -11, 1, 2],\n [20, -16, 4, -20, 3, 12, 16, -14, 3, -6],\n [-10, -4, 2, -17, 10, 13, -11, 16, -11, -10],\n [10, -11, 17, -13, -10, -1, 3, -14, 0, -15],\n [10, -9, 16, -8, 10, -12, 6, -4, -13, 6],\n [19, -6, 18, -15, 11, -13, 14, 10, 5, 3],\n [-19, 20, -20, -11, 2, 12, 16, -10, -1, 5],\n [-19, 4, -17, -2, -8, -2, -8, -9, -19, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6037", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -2, -18, 3, 2, -17, -3, -9, 14, 6],\n [-7, 10, -18, -16, 8, 18, -4, -2, 14, 12],\n [-13, 16, 14, -1, -4, -8, -17, 9, -15, -19],\n [-6, 13, -1, -5, 8, 6, -20, -8, 19, 11],\n [-18, -7, 7, 5, 0, -10, 6, -20, 12, -3],\n [-19, -17, -17, -4, -5, -12, 5, -11, -14, -12],\n [6, 11, 2, 6, 4, 8, 3, -5, -5, 7],\n [-1, -2, -11, 5, -19, -18, 18, -19, 4, -17],\n [-6, -3, -14, 6, -3, -14, 8, 20, 12, -19],\n [-3, 2, -15, 4, -2, -13, 16, 5, 8, 7]]\nB =\n[[-14, 15, -6, 12, -16, 8, -4, 6, -4],\n [-17, -9, 2, -10, 15, -9, -12, 3, -3],\n [6, -12, 12, -15, 12, 19, -15, -17, -18],\n [-8, 5, 13, -8, -13, -9, -13, -2, 20],\n [-11, 11, 0, 2, 6, 4, -14, 14, -19],\n [7, -14, 19, -9, -4, 1, -12, -18, 1],\n [15, 18, -3, -4, 6, 14, 11, -18, -8],\n [-4, -3, -4, -5, 1, 4, -20, 6, -7],\n [7, 15, 11, 8, -4, 7, 20, 0, 3],\n [14, -1, 1, -17, -5, 0, 0, 19, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28903", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[-10, 16, 1, -1, -19, -10, 0, 12, -4, 15],\n [-7, 16, 10, -17, -15, 0, -8, 17, -6, -16],\n [17, 3, -3, 8, 11, -14, 9, 17, 5, -13],\n [4, 9, 3, 9, -16, -17, -12, 12, 8, 10],\n [-2, -19, -1, -9, 0, 10, 15, -1, -1, 15],\n [-3, -15, 12, -11, -3, 13, -6, -18, -13, -10],\n [11, -4, 9, -13, 19, -14, -1, -9, 0, 7],\n [7, -5, -11, 1, -14, -17, 3, 13, 20, -7],\n [-4, -13, -8, -14, -18, 3, 3, -14, 9, -16],\n [19, 0, -13, -14, 18, -19, -9, 7, -2, 7]]\nB =\n[[14, -9, 7, 5, 17, -15, -2, 6, -12],\n [20, -11, -11, 12, -3, -11, -14, 19, 11],\n [-15, -2, 20, 13, -16, -2, -7, -11, -10],\n [10, -19, -11, 0, -20, 10, -10, -11, -1],\n [0, 16, 16, -7, -16, -15, 3, -5, 2],\n [17, -5, -8, -13, 17, 11, 1, -4, -16],\n [-13, 9, -2, -9, 4, -8, -17, -11, 7],\n [-16, 7, 10, -5, 2, 8, 0, -19, 2],\n [-5, -10, -12, -19, -3, -8, -13, -11, 6],\n [-4, 3, 0, -20, -5, 12, -15, -9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -3, -19, 11, -1, 0, 15, 17, 6, -10],\n [-3, -4, 13, 5, -15, 9, 18, 11, -4, -8],\n [20, -8, -15, 1, 12, 12, -17, -7, 14, 6],\n [-15, -20, 7, 8, 11, 7, 6, -11, -3, -17],\n [17, 20, 11, -16, 1, 1, -19, 20, 13, -19],\n [15, 19, -13, 12, 12, -17, -3, -2, -11, 20],\n [9, 1, 18, 17, -20, 9, -16, 5, 10, 18],\n [20, -9, -4, -3, -19, 3, 7, 18, -11, 12],\n [3, -10, -13, 6, 5, -9, 14, -6, 0, 16]]\nB =\n[[9, -16, -4, 5, 13, 12, -3, 4, 20, 9],\n [16, -1, -19, -8, 19, -1, -15, -10, 4, -11],\n [10, -17, 4, 7, 3, 14, 20, -16, 12, -10],\n [-13, 0, 11, -16, 13, -12, 17, 11, -11, -9],\n [14, 18, -3, 2, -9, 10, -10, 13, 6, 0],\n [-11, -8, 4, -8, 20, -15, 14, 7, -1, -1],\n [20, -17, -1, -16, 1, 3, -4, -16, 5, 15],\n [-13, -12, -4, -13, -16, -11, -7, 6, 6, -16],\n [-6, 7, -16, 1, -9, -13, -20, 14, -5, 9],\n [20, -11, 13, -10, -1, -14, 0, -10, 16, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2317", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 4) of the product of the following matrices:\nA =\n[[10, -3, 3, 1, 16, -20, -15, 17, 8],\n [-10, -5, -15, -20, 14, 3, 17, -18, 19],\n [-19, -6, 1, -17, 3, -2, 9, 1, 18],\n [19, 6, -6, 16, -20, -9, -12, -2, -3],\n [18, -10, -10, 9, -1, -6, 4, -18, 5],\n [7, -15, 11, -10, -8, -4, 15, 9, -17],\n [-7, 7, -14, -5, -7, 16, 18, 6, 9],\n [-6, 18, -3, -10, 1, -17, -18, 3, -7],\n [-18, 10, 14, 10, -9, -11, -1, -3, 15],\n [-2, -4, 19, -10, -16, 16, 15, -7, 7]]\nB =\n[[-12, 17, 8, 4, -13, -2, -19, -15, 9, -19],\n [-2, -8, -13, -12, 2, 16, -13, -12, -5, -5],\n [-9, 4, -10, -3, -8, 14, -3, 9, 16, 9],\n [-18, 8, 4, -19, -16, 10, -16, 0, 5, -14],\n [9, 13, 7, -7, -3, -4, 4, -15, -16, 0],\n [18, -1, -10, -16, 17, 18, 14, 14, 4, 9],\n [-19, -1, 15, 16, -19, 6, 11, -17, 6, 9],\n [-18, 6, 17, 15, -20, 14, -9, 14, -3, 16],\n [2, 12, -7, -20, 6, 3, -19, -9, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 16, 13, -15, -13, 0, 18, 0, -15, 20],\n [9, -11, -10, -20, -11, 4, -5, -2, -11, -7],\n [-18, -17, 19, 12, -1, -6, -14, -18, 6, 16],\n [8, 5, 6, 4, 19, 9, -1, -14, 8, 13],\n [5, 6, -12, 1, -9, -15, -15, 6, -2, -15],\n [-4, 8, 2, -4, 0, -11, -13, -7, 10, -3],\n [9, -3, 4, 16, 4, 9, 9, 15, -10, 18],\n [6, -5, 17, 11, 8, -11, 9, -10, -6, 2],\n [2, -14, -7, -12, 7, -15, 1, -3, 17, 1]]\nB =\n[[-12, -3, 0, -6, -12, -19, -7, 0, 13],\n [-14, -6, 18, -9, -14, -16, 18, 2, 7],\n [13, 4, -19, -12, 13, 11, -9, -2, 17],\n [-11, -11, 14, 20, 16, 11, -14, -11, 17],\n [6, 11, -14, 5, 1, -9, 3, 8, 11],\n [-5, 5, -15, -20, -8, 17, -15, 17, -9],\n [-12, -1, 18, 6, -18, 3, -6, 13, 11],\n [0, -20, 12, -10, -18, 1, -11, 17, 3],\n [-14, 15, -20, -20, 5, -4, -10, -18, -11],\n [-19, 11, -5, 5, 19, 18, -11, 15, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, -16, -14, 15, -20, 6, -9, -5, -13, 4],\n [-8, 20, -11, 19, 12, 14, 16, 18, 7, -5],\n [-13, 12, 14, 17, -9, -6, -4, 6, 0, 0],\n [-4, 6, -9, 15, 7, 4, -12, 16, 2, -10],\n [-20, -5, -8, -1, -5, -5, 14, 11, 2, 4],\n [7, -19, -18, 10, 12, 12, 14, 15, 5, -9],\n [-10, -15, 4, 13, 14, 0, -3, -13, 13, -7],\n [-2, -1, -17, 17, 11, 5, 7, -9, -11, 20],\n [14, 12, -7, 19, 2, -3, -9, 15, 4, 16],\n [19, 1, -15, -5, 2, -12, 14, 8, -7, -16]]\nB =\n[[0, -15, -20, 10, 20, 7, -18, 17, 2],\n [19, -17, -15, -9, -9, -14, 7, 5, -14],\n [-18, -8, 20, -10, 18, 2, -20, 13, 10],\n [12, 15, 15, -7, 16, 11, 7, -20, -14],\n [-5, 11, 3, -7, -6, -20, 7, -2, -14],\n [-3, -8, -3, -17, -17, 6, -5, -7, -7],\n [-14, -7, -15, 17, 6, -10, 10, -18, -20],\n [-5, 6, -18, -13, -5, -19, 8, -5, 8],\n [10, -10, 11, 3, -2, 11, -11, 11, 2],\n [12, 9, 9, -14, -5, -20, 9, 13, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[17, 10, -13, -1, 8, 10, 0, 5, 10, -1],\n [1, 19, 5, -4, 4, 16, 6, -18, 3, 4],\n [-11, 15, -3, -4, -7, -2, -3, 2, -13, -5],\n [4, 11, -2, -3, 11, 19, -6, 0, -10, 8],\n [11, -15, -2, -5, -9, -6, -10, 18, -11, 16],\n [3, 15, -20, -4, -7, 17, 4, 16, 14, 1],\n [-14, -10, -11, -7, 14, 15, -15, -16, -14, -6],\n [0, -3, -20, -17, -10, -11, -2, 9, 20, 20],\n [-1, 6, -9, -7, 13, 17, -19, 11, -3, 0],\n [-10, 9, -2, 19, 9, 14, -17, 0, -16, 15]]\nB =\n[[6, -14, 10, -1, 4, 17, 4, -4, 16],\n [-6, -11, 13, -14, 18, 4, 18, 7, 6],\n [16, 18, 17, 7, 13, 8, -13, -8, 16],\n [-18, -7, 11, 2, 2, -8, 20, 18, 0],\n [10, -14, 15, -2, 1, 3, 3, 0, -8],\n [-15, 7, 11, -8, 13, 11, -7, 11, -16],\n [14, -17, -7, -3, -10, -2, -19, 13, -18],\n [8, 2, -20, -15, -4, -2, -19, -6, 2],\n [-2, 12, -15, -2, 9, 1, -18, -16, 9],\n [-18, 18, 18, 7, -20, 1, 18, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 8) of the result:\nA =\n[[9, 19, -13, 6, 20, 4, -8, 13, 18],\n [-14, 1, 12, 17, 10, 12, 1, 6, 6],\n [0, 14, -11, 7, 19, 16, 20, 12, -13],\n [16, 20, 12, -2, 9, -7, -7, 15, -14],\n [13, 11, 12, -7, 4, 7, 18, 9, 10],\n [3, -17, -7, -12, 15, -15, 3, 5, 13],\n [-20, 2, -4, 15, 16, -1, 5, -10, -1],\n [-20, -8, 15, 17, -8, -7, -9, 13, 6],\n [-9, 17, 15, -20, 5, 19, 19, 0, 11]]\nB =\n[[4, -9, 4, 5, 15, -5, -7, 13, 3],\n [-13, 6, 18, -8, 8, 10, -2, -11, 19],\n [13, -20, -2, -20, 3, 4, -17, 3, 18],\n [-1, 12, 7, 14, 3, 19, -19, 2, 12],\n [-7, -6, 11, 2, -17, -1, 10, -14, -20],\n [-16, -7, 9, 17, 2, -14, 18, -5, -12],\n [18, 13, 10, -14, -19, -15, 13, -4, 5],\n [-9, -1, 20, 14, 14, 8, 17, 10, 19],\n [-8, 5, 1, -13, 19, -14, -16, -20, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-760", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 11, -14, 8, 9, 0, 18, 20, 18, -1],\n [1, 8, -17, -18, -12, -16, -18, 4, 11, 12],\n [-3, 15, 20, 8, 18, -19, -10, 10, -17, 8],\n [-18, -19, 15, -7, -17, 9, -2, -2, 10, -6],\n [8, -18, -2, 1, -1, -14, -17, -20, 20, -14],\n [1, 16, 9, -12, 6, 17, 2, -9, -8, 12],\n [-6, -5, 13, -12, 6, -6, 14, 13, 19, 9],\n [2, -12, 11, 14, 11, -5, 11, 4, 9, 16],\n [16, 14, -13, 19, 15, 4, -3, 18, -11, -20]]\nB =\n[[-17, 5, -10, -6, 11, -6, 7, 2, -18],\n [11, -1, -7, 14, 19, -12, 3, 20, -17],\n [-9, 3, -20, -7, 10, -11, 12, 15, 14],\n [-3, 4, -9, 7, -12, 3, -1, 5, -16],\n [6, 7, 16, 19, -14, -2, 1, -3, -6],\n [12, 18, -16, 19, 16, -16, 16, -14, -19],\n [9, -10, 16, 18, 12, -12, -10, -9, -11],\n [-10, 12, -1, -16, 3, 11, 10, -7, -2],\n [3, 11, -9, 0, 15, 4, -7, -13, 8],\n [4, 2, 15, -9, -9, -3, 15, -2, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26833", "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, -18, -8, 17, 20, -2, 14, -6, -5],\n [14, -16, -14, 0, 20, -20, 4, 9, -2],\n [3, -6, 14, 3, 15, -7, 1, 18, -13],\n [-5, -4, -16, 20, 14, 16, -3, 0, -20],\n [-4, -13, 8, -1, 16, 18, -16, -11, -15],\n [-14, 14, 6, 0, 3, 8, 6, 17, -19],\n [4, -19, 17, -3, -14, -17, 19, 20, -11],\n [20, 7, 9, 3, 15, -5, 12, -11, 0],\n [6, 0, 6, 11, -16, 14, 1, 15, -11],\n [13, -15, -7, 16, -2, 11, -1, 0, -6]]\nB =\n[[-4, 3, 0, -6, -10, 16, 9, -3, 7, -8],\n [-11, 18, -9, 17, 20, 19, 5, -2, 2, 15],\n [6, -5, -14, -8, -9, 6, 12, 10, -10, -4],\n [17, -19, -18, 13, 11, 3, 3, -8, 1, -2],\n [9, 18, 0, 2, -5, -14, -1, -7, 5, 1],\n [20, 15, 5, -9, 10, 19, -17, 19, 6, -12],\n [-9, 8, 7, -5, -13, -8, -7, -6, -12, 11],\n [1, 4, 20, 5, 8, -3, 15, -1, 12, -1],\n [-18, 13, -15, 10, 14, 11, -12, 6, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30964", "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, 15, 5, -19, -14, 6, -5, 8, 0, 5],\n [-3, -20, -19, -7, 17, -6, 15, 3, 4, -12],\n [-6, 16, -15, -9, 6, -14, 7, -9, 14, -19],\n [5, -1, 4, 0, -20, 7, 17, -8, 9, -11],\n [1, 8, -16, -13, -10, 5, -2, -2, 9, 15],\n [-12, -14, -3, -12, -15, -15, 1, -4, -6, -12],\n [-15, 2, -4, 11, 11, 16, -18, -5, -19, -18],\n [20, -7, -7, 9, 19, 6, -4, 18, -12, 15],\n [-11, 8, -17, 0, 16, -19, -6, 7, 4, 5],\n [-12, 9, -12, -20, -9, -8, -7, -11, -4, -4]]\nB =\n[[10, 5, 14, 15, -10, -5, 8, -3, -10],\n [-10, -12, 4, 11, 13, -18, -7, 19, 4],\n [-5, 15, -12, -17, -19, 4, 1, -16, 0],\n [-11, 2, 6, 9, -17, -15, 5, -11, -16],\n [18, 16, 19, -20, 13, -13, 0, 10, 2],\n [-10, -5, 6, -14, 3, 11, 14, 10, 8],\n [-17, 14, -10, 13, 18, -6, -7, 0, -14],\n [-4, -3, -7, 17, 8, -11, -4, 11, -1],\n [-4, -14, 18, 9, 17, 19, 20, -11, 11],\n [5, -4, -20, 18, 5, 9, -12, 12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29136", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-11, 11, 18, 12, 6, 8, -2, -3, 14],\n [7, 17, -11, -18, 8, -5, 15, -20, -3],\n [-17, -16, 0, -17, -1, -2, 14, 3, -1],\n [7, 17, 3, -1, 3, -15, 17, 4, 11],\n [-4, -4, -16, -4, -12, -1, -19, -2, -12],\n [19, -2, -17, -15, 15, -10, 0, 4, 9],\n [-3, 4, 0, 2, 9, -3, 12, 14, 1],\n [3, 2, -20, -6, 7, -1, 15, -5, -16],\n [-6, -19, 3, -8, 2, -9, 12, 4, 14]]\nB =\n[[14, -20, -17, 10, 7, -10, 11, -19, -8],\n [-4, -17, 10, 17, -18, -9, -3, 9, -10],\n [3, 0, 14, -17, 5, -13, 3, -9, -16],\n [-5, 11, 8, 12, 20, -7, 4, -13, 6],\n [14, 1, -14, 15, -9, -12, 14, 18, -2],\n [7, 8, -13, 6, -16, 8, 14, 12, 11],\n [0, -11, -5, -10, -2, -8, -6, 15, 11],\n [-2, -6, 17, 1, -8, -1, -6, -14, 1],\n [-1, -2, 6, -13, -3, -11, 20, 14, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2289", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -9, 6, -15, 3, 1, -12, -11, -18],\n [-15, 5, -7, 15, -2, 18, 2, -16, -6],\n [9, 12, 17, -2, -16, -12, -14, 3, 20],\n [-5, 16, -11, 0, 0, -6, -8, -14, 19],\n [-13, 20, 17, -19, 16, 1, -17, -14, -20],\n [-2, 9, -19, -8, 7, -7, -18, -5, 4],\n [-18, 13, -18, 20, 8, 19, -2, -1, 0],\n [-1, 7, 6, 4, -19, 3, 12, -2, 5],\n [20, -18, 6, -7, -1, 14, 2, 4, -17],\n [-19, -19, 4, 2, 0, 4, 6, -10, -7]]\nB =\n[[-4, -6, 10, 13, 15, 19, -8, -3, -4],\n [18, 7, 5, -7, 16, -10, 11, 3, 10],\n [19, 20, -13, 18, -13, 10, -2, 15, 18],\n [11, 0, 2, 15, -6, -19, -9, 17, -15],\n [17, -20, 17, 5, 2, -20, 0, -2, 8],\n [5, 13, -4, -3, 11, -17, 9, 10, -3],\n [-16, 11, 8, -9, -6, -6, 14, 14, -7],\n [18, -3, 17, 1, 17, -10, -18, -7, 4],\n [-7, 10, 4, 20, -2, -9, -14, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 2, -7, 2, -13, -8, 15, -20, 16, 5],\n [-17, -5, 4, -2, -1, 5, 11, -18, -14, 11],\n [-16, 0, 9, -1, 8, 3, -20, 4, 6, 4],\n [0, -4, 7, 11, 13, 1, -2, -13, -19, -16],\n [7, -17, 15, -20, -6, -8, 10, -4, -15, 3],\n [-8, 0, 3, 1, 8, 3, -9, -1, 13, -6],\n [-17, -7, -20, 12, 8, -11, 15, -7, 1, 12],\n [7, -14, 15, 15, 20, 13, 16, -15, 14, 6],\n [9, 11, -2, 1, 0, -16, 0, 20, -1, 17]]\nB =\n[[10, 16, -15, 10, 3, -3, 8, -9, -9, 8],\n [-14, -5, -9, 0, -17, -4, 7, 10, -13, 5],\n [19, 10, -2, -14, -16, -8, -3, -3, -1, 2],\n [15, 19, 12, -14, 19, -16, 11, -12, 9, 11],\n [18, -17, 4, 1, -13, -19, 16, 14, 16, 1],\n [-20, 18, 12, -17, -12, -13, 1, 0, 20, 7],\n [16, -19, -4, 10, -8, -3, 3, 10, 12, 10],\n [6, 15, 0, -16, -10, 13, 13, -18, -15, -1],\n [-17, 16, 18, -14, -4, 17, 15, 13, -15, 18],\n [-19, -3, 6, 18, 20, -2, 11, 3, 13, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5610", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 4, -9, 9, -15, 9, 12, -6, 8, -7],\n [4, -16, -19, -5, 18, 17, -4, 10, -20, -15],\n [10, -15, 15, -13, 8, -12, 1, -11, 3, 19],\n [-19, -1, -4, 12, -7, 11, 16, 3, 20, -1],\n [-15, 12, 7, -10, 15, -1, -15, -13, -2, -6],\n [1, -19, 7, 15, 15, -3, -9, -2, 5, 4],\n [7, -6, -11, 18, 13, -8, -5, 19, 10, -20],\n [2, -7, 18, 9, -1, 4, -10, 5, 0, -16],\n [-14, -9, -19, 18, 0, 11, -16, 6, 10, -9],\n [15, 0, -2, -18, -4, 9, 15, -12, 13, 8]]\nB =\n[[-11, -12, 19, -10, -2, 1, 1, -5, -4, 19],\n [-14, 10, -17, 8, -14, 9, -18, 4, 13, 12],\n [10, 3, 17, -17, -11, 4, 16, -20, -4, -14],\n [-7, -20, -15, 18, -11, 0, -18, -2, 7, -19],\n [6, 11, -9, -20, 19, 8, -12, -3, 15, -5],\n [14, 15, -17, 19, 14, -2, -15, 10, 6, -18],\n [15, 15, -19, 16, -6, 16, 2, -15, 12, -16],\n [0, 7, 0, 3, 7, -10, 1, 13, 16, 20],\n [-4, -6, 8, 13, 20, 1, 6, 17, -6, 0],\n [-17, -3, -14, -5, 14, -9, -14, 20, -11, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31995", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-9, 6, 7, -3, -20, 2, 18, -4, -20],\n [17, -17, -6, 0, 0, 1, -7, 14, -17],\n [14, 11, 7, -9, 9, -12, -2, -5, 9],\n [-20, 2, -9, -16, -1, -18, -19, -1, -19],\n [19, 14, -17, 15, 19, -15, -7, -6, 16],\n [12, -2, -9, -12, -2, 11, 7, 7, 10],\n [15, -8, 12, -3, 8, 18, -13, 1, -20],\n [10, -1, 15, 2, -4, -11, -12, -4, -18],\n [12, -20, -1, -19, -5, -12, -7, -20, 14],\n [-3, -20, -16, -10, 17, 3, 18, 11, -5]]\nB =\n[[-18, -13, 11, 1, -4, 6, -18, 5, 14],\n [-8, -4, 9, 8, -7, 9, 16, 17, -12],\n [11, -17, -15, -20, 4, 19, 17, -18, 0],\n [-7, 9, -19, 1, -8, 4, -10, -11, 16],\n [4, 14, -2, 7, -11, -6, 11, -18, 3],\n [-11, 9, 20, 12, 4, 18, 18, 4, 17],\n [-9, -17, 7, -1, -11, 10, -2, -19, -17],\n [-6, 17, 12, -3, 19, 11, 11, -8, -5],\n [12, 13, -7, -19, -8, 8, 13, -4, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "382", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -17, 10, -16, -19, -17, 17, 6, 6],\n [-6, 18, 17, -7, -3, 8, -14, 17, 3],\n [17, -15, -1, 15, -11, 1, 12, 2, 20],\n [-17, 0, -8, -8, -9, 3, 14, -2, -12],\n [-8, 1, 19, 15, 7, 20, -14, 9, 10],\n [-10, 9, -6, -8, 14, 14, -1, 2, 16],\n [-1, -2, -3, -17, -13, 9, -1, -13, -16],\n [20, 13, 19, -14, 1, -12, -10, -9, -13],\n [11, -4, 5, 12, 5, 1, -18, 10, -7]]\nB =\n[[-3, 13, 19, -4, 20, -9, 18, 12, 11],\n [0, -7, -19, -14, -6, 10, 7, 20, -13],\n [-14, 15, -11, 18, 9, 19, 20, 20, -16],\n [0, -15, -5, -5, 3, -2, -2, 16, 12],\n [-16, -12, 0, -14, 4, 0, -8, 0, -11],\n [3, 6, 12, 5, 15, -4, 0, -19, -6],\n [-19, -14, 15, 11, -18, -18, 12, 4, 16],\n [15, 14, -2, -2, 12, -3, 6, 9, 10],\n [18, -18, 1, -11, -13, 13, -3, -9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7459", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-19, -4, -9, -14, -6, -19, 6, 5, 4, -9],\n [-4, -20, 10, 19, -16, 7, 7, -13, -7, -15],\n [-3, 16, -11, 14, 14, -4, 6, 3, -11, -4],\n [12, 12, -4, -3, 17, -14, 5, -20, -10, -11],\n [10, 4, -20, -18, -20, -14, -7, 2, -4, -7],\n [-12, 0, -19, 11, -13, 15, 5, 16, -6, 13],\n [0, 2, -12, 19, 5, 1, -8, 4, -14, 6],\n [-6, -9, 12, 0, 4, 19, 1, -7, -13, 3],\n [-18, -9, 1, -5, -14, -3, 2, 5, 17, -19],\n [-19, 1, 17, 7, -4, -3, -19, 14, -6, -6]]\nB =\n[[13, -6, -3, -8, 17, -13, -5, -1, 5, 14],\n [-4, 5, -3, -14, 14, -9, 20, -20, 4, -5],\n [-6, -10, 16, 18, -18, 18, -1, 2, -6, -3],\n [18, 14, 8, -1, -6, 11, -9, -9, 4, 13],\n [-13, 3, -20, 4, 13, -7, 15, -15, -12, -20],\n [-12, 3, 18, -3, 18, -3, 20, 7, -19, 16],\n [20, 15, 3, 14, -15, -4, 9, -13, -11, -5],\n [17, 5, 10, -13, 14, 13, -11, 19, -9, 20],\n [6, -2, 5, -6, 10, 16, -3, 8, 6, 17],\n [-1, 0, 8, -6, 1, 2, -17, 3, -7, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[0, 18, -8, -2, 5, 15, 12, 19, -5, -2],\n [16, -7, 9, 10, -1, -14, 16, -19, 1, -8],\n [17, 10, -20, -8, -4, -17, 10, 12, -7, 0],\n [1, -16, 16, 11, -18, 20, -8, -10, 17, 3],\n [-12, -8, 1, -3, -11, -9, 9, -2, -2, -11],\n [-20, -14, -10, -17, 15, 0, 1, -11, 2, -16],\n [-9, 9, 12, 16, -3, -17, 6, 2, -15, -14],\n [-2, -6, 1, 11, -6, -15, -15, -15, -9, -19],\n [4, -17, -15, 16, 17, -7, -2, -14, -3, -13],\n [7, 0, 14, -11, 7, -2, 14, 7, -18, 18]]\nB =\n[[6, -4, -6, 18, 1, -1, 6, 14, -16],\n [-19, 20, -1, -14, 15, -13, 6, -15, 3],\n [15, -16, -1, -1, 20, 19, 13, 18, -11],\n [-18, 13, 14, 16, 17, 2, 16, 0, 6],\n [-20, -12, -18, 17, 15, 13, 9, 10, 9],\n [-5, 8, -15, -7, -11, 3, 15, 3, -14],\n [16, 19, 17, 4, 13, -20, 7, 20, 8],\n [11, -16, 13, 5, -8, -9, 1, -12, -15],\n [15, -11, 16, 11, -17, -17, -8, -5, 5],\n [12, -17, 5, -12, 20, -10, -16, 17, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-291", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 17, 19, 7, 3, -2, -20, -16, 2],\n [-2, -19, -19, -12, -3, -5, 18, -12, 2],\n [12, 17, 13, 5, -4, -7, -8, 1, -3],\n [-1, 9, 14, 12, -4, 14, -9, -19, 13],\n [-9, 5, 11, 0, -16, 7, 2, 11, -16],\n [14, -15, -2, 19, -15, -7, -18, -10, 18],\n [20, 3, -3, 10, -11, 5, 8, -19, 9],\n [18, -11, -9, -1, 20, -2, -15, 2, -2],\n [10, 12, -19, -6, -10, 5, -3, -20, 11],\n [-17, 1, 15, 8, 15, 12, 18, -7, 16]]\nB =\n[[-16, 1, -16, 16, 17, 13, -6, 16, 6],\n [-20, 8, -13, 12, -14, 8, 10, 17, -13],\n [10, 16, -6, 11, 5, -10, 2, 13, 12],\n [-4, 12, -19, -17, -9, 8, 18, -2, -19],\n [-14, 1, -10, 12, -1, -16, -17, -7, -18],\n [-3, 6, -17, -18, 6, 7, 1, 8, -5],\n [14, -2, 9, -6, -16, 10, 10, -12, -8],\n [0, 10, -20, 20, -8, 13, 15, -5, -11],\n [17, 20, 13, 4, -20, -9, 1, 1, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1895", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, 12, -16, -11, -18, -10, 9, 7, -16],\n [-9, 8, 5, 8, 8, -7, 15, 14, -13],\n [-5, -16, -5, 20, -8, -13, 5, -16, -12],\n [17, -19, -14, 9, -4, 10, -20, 7, 9],\n [10, 3, 10, -10, -5, -12, 9, -9, -5],\n [12, -15, -20, -8, 16, 14, 5, -12, -4],\n [17, 14, 4, -14, 20, 10, 11, -2, -4],\n [-15, 4, 12, -2, -6, 14, 11, 17, 15],\n [11, 11, 19, 15, 13, -11, 12, -11, 14]]\nB =\n[[1, 2, -14, 0, -20, -8, -12, -1, -11, 5],\n [-20, -4, -4, 18, -9, 20, -6, -20, 11, -10],\n [-16, -3, -3, 2, -14, 5, -20, 7, -1, 20],\n [2, 11, 17, 18, -3, 12, 4, 11, 7, -8],\n [-2, -18, 6, -4, 8, 12, 7, -1, 13, -5],\n [18, -19, 7, -4, -1, -3, 7, 7, -5, 12],\n [0, -16, 16, -3, -16, -10, 1, 2, 5, 6],\n [-18, -19, -4, -18, -18, 19, -5, -9, -20, -17],\n [-4, -2, -17, 18, -1, 20, 18, -17, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[20, 7, -5, -15, 7, 11, -4, 4, 18, -4],\n [-6, -3, -1, 2, -16, 18, -9, -4, 9, -2],\n [11, -5, -19, -9, -18, -13, 16, 3, 4, 4],\n [-7, 15, -6, 11, -19, 0, -17, 8, 8, 2],\n [-18, 0, -5, -1, 14, -16, 5, -14, -5, -4],\n [-19, -9, -8, -16, -5, 7, -13, 7, -13, 8],\n [-3, -5, 5, 1, -6, -8, 1, 0, 3, -20],\n [8, -20, -20, -12, 0, -7, 7, -3, 12, -19],\n [13, 3, -2, -19, -15, -6, -10, -5, 0, 6]]\nB =\n[[1, -18, -18, 0, -15, 4, 20, 16, 9, 18],\n [-1, -20, 14, 5, 0, -11, 8, -18, 20, 20],\n [-8, -12, -5, 7, 7, -10, 9, -10, 8, -9],\n [-13, -11, 14, 15, -8, 6, 19, -19, 7, 13],\n [0, -15, 18, 5, 15, 19, -3, 18, -16, 5],\n [-10, -5, -2, -16, -14, -18, 4, -11, -16, 11],\n [11, -16, -2, -9, 10, -4, 1, 20, 1, 5],\n [10, -15, -9, 6, -4, -11, -16, -17, 18, -6],\n [-19, -13, -5, -1, 3, 14, -4, -16, -7, -7],\n [10, -1, -8, -12, 13, -9, 19, -5, -20, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3517", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, -1, -15, 14, 20, -18, 0, -14, -7],\n [9, 1, -7, 4, -18, -16, -16, -12, 20],\n [17, 16, -17, -1, 0, 3, -14, -13, -10],\n [-12, -15, 19, -4, -8, -4, -19, 9, 11],\n [15, -14, -5, -2, -6, -7, -14, 12, 13],\n [3, 14, 0, 3, 16, -5, -4, 8, -3],\n [-10, -18, -3, -5, 20, -20, 6, 10, 7],\n [19, 6, -12, 17, 15, 20, 6, 5, 6],\n [-17, 17, -9, -6, 9, -7, -13, 7, 10]]\nB =\n[[-19, -6, 19, -13, -16, -17, -9, -11, -17, -11],\n [8, 7, 8, -2, -8, 13, -1, -3, 15, -20],\n [5, -18, -18, 0, -3, 10, 15, 10, -13, 4],\n [-1, -10, 19, -20, 0, -4, 7, -3, 8, -11],\n [-12, 13, -1, 10, -18, -20, 12, -13, -3, 9],\n [12, 1, -4, -12, 1, -11, 12, 18, -18, -4],\n [-12, 19, 15, -2, 13, -19, 6, -2, 12, 5],\n [13, 7, -5, 1, 7, -7, -15, -10, -1, 15],\n [-5, -15, -13, 15, -17, 13, -1, 3, -18, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5317", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 8, 0, 6, 4, -18, -20, 2, -16],\n [10, 4, 14, -20, -6, 18, 3, 13, -3],\n [4, 15, -20, -12, 20, 10, 1, 17, 20],\n [-19, 20, -1, 2, -9, -11, 11, -16, 8],\n [12, 2, 15, -8, -19, -10, 7, 4, 15],\n [-3, 18, -12, -19, 15, -4, 12, 14, 12],\n [11, -1, 9, 1, 4, -10, 13, 7, 14],\n [-17, -12, 1, 4, 0, 4, 20, -4, -6],\n [20, -14, 11, -13, -18, 12, 15, -4, -20],\n [15, 19, -4, 16, 4, 4, -8, -8, -9]]\nB =\n[[11, 14, 7, -1, 7, 10, 3, -10, -5, 17],\n [-4, -16, -1, 14, -7, 5, 3, 10, -3, 18],\n [1, 0, 13, 4, 19, 9, -15, 4, -16, 8],\n [1, -18, 9, 3, 20, -4, -1, 5, -16, -8],\n [18, -17, -4, 19, 14, 10, -5, 13, 11, 12],\n [-13, 9, -18, -4, 3, -5, -1, -11, 3, -14],\n [-1, -8, 8, -11, -12, -14, 12, 3, -5, 11],\n [-17, -7, 8, 1, 2, 5, 5, 1, -18, -4],\n [-7, 9, -8, 5, 19, 11, 13, 2, 13, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1155", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 7, -2, 13, -13, 13, -5, -14, 6, -1],\n [14, -4, 7, -13, -17, 12, 1, 10, -20, 20],\n [-7, -14, -13, -13, 3, -20, 14, 20, -13, -16],\n [11, -20, -19, -6, -12, -9, -11, 3, 20, -2],\n [-4, -19, -11, -16, 18, -15, -19, -13, -17, 10],\n [15, -13, 10, -4, 19, -7, -13, 4, -7, 2],\n [20, -4, -9, -1, 13, -10, 6, -12, -3, 17],\n [15, 7, -1, 8, -17, -6, 20, 7, 19, 3],\n [16, -5, 1, -4, -20, 10, 4, -9, -1, -2],\n [-16, -6, 20, 4, 14, -18, -3, 1, -5, -6]]\nB =\n[[-16, -8, 7, -11, -5, -19, 15, 4, -16, 7],\n [-4, -19, -6, 17, 8, 2, -3, -7, 11, -15],\n [7, -3, 14, 17, -17, 10, -10, -10, 8, -2],\n [-4, -17, -17, -9, -14, 0, 12, 16, -9, -14],\n [-6, 16, -12, 12, 17, -5, 10, -6, -19, -8],\n [-16, 12, 11, 0, -19, 15, 12, -10, 20, 2],\n [17, 12, 19, -13, 15, 15, 12, 8, 10, 9],\n [-13, 5, 2, 5, 17, 18, -19, 5, -3, 6],\n [-4, -6, -14, -4, -2, 6, 19, -4, 11, -5],\n [9, -7, 20, -3, 1, -5, -5, 5, -15, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2400", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 9) when matrix A is multiplied by matrix B?\nA =\n[[-12, 5, -19, 15, -18, 0, -18, -12, -9, -13],\n [16, 0, 16, 19, -18, 20, 0, 5, 3, 13],\n [11, 6, 9, -17, -19, 2, 20, -17, 16, -10],\n [15, 15, -6, 16, -18, 9, 2, 12, -20, -20],\n [-18, -12, 11, -8, 10, 0, 2, -8, 5, 4],\n [-13, 19, 9, -16, 3, -11, -2, 14, 1, 18],\n [17, -14, 18, -1, 19, 11, -19, -6, -11, 0],\n [-6, 13, 14, -16, -2, -14, 15, -3, -15, -17],\n [-16, -7, 20, 12, 0, -8, -19, -6, -5, 14],\n [-1, -20, -18, -4, -4, 20, -1, -1, -17, -10]]\nB =\n[[-6, 6, 3, -1, -6, -15, -3, 1, 0],\n [3, -4, -10, -3, 14, 10, 7, 3, 15],\n [3, 12, 9, 16, -8, -5, -12, -8, -14],\n [14, 5, -12, 14, 3, 12, 0, 1, 18],\n [-2, 11, -16, -9, 19, -15, -3, -14, -2],\n [-6, -12, -1, -1, -17, -11, 19, -20, 14],\n [3, -14, 1, 2, -20, 3, -1, 11, 10],\n [12, 15, -3, 16, 12, 12, -16, -3, -12],\n [10, -14, -6, -17, 18, -13, 3, -13, -16],\n [2, 13, -6, -2, 4, 18, -17, -13, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 3) of the product matrix AB given:\nA =\n[[-8, 17, 15, 16, 10, -2, 16, 4, 16, -20],\n [0, 20, 18, 20, 5, -18, 20, -16, 8, 12],\n [-19, -3, -7, 19, 9, 8, 8, -2, 5, 19],\n [-12, -8, 17, 10, -7, 10, -6, 13, -11, 0],\n [18, 4, 16, 19, -1, -14, -3, 20, 5, -4],\n [-14, 7, 0, 16, 2, -11, -4, 17, -20, -10],\n [12, 10, 3, -1, -16, 5, -14, 6, -3, 17],\n [10, -12, -19, 16, 8, 13, -6, -12, -5, -19],\n [-20, -12, -1, -19, -20, -11, 2, -2, -3, 3],\n [1, -1, -10, -12, -6, -5, -8, -15, 4, -6]]\nB =\n[[-3, 12, -7, 13, -19, -1, -5, -18, 9],\n [2, 18, 2, -18, -8, 19, 8, 2, 19],\n [-4, 0, 8, 16, -16, 0, -19, 2, -10],\n [-6, 2, -14, 13, 17, 20, -15, -5, -19],\n [11, 17, 7, 20, -12, 4, 5, 5, -16],\n [-4, 5, 5, -12, 2, 3, 20, -12, -11],\n [-15, -17, -20, -15, 17, 8, -18, 3, -12],\n [-4, 17, -7, 15, 12, -1, 13, -18, -1],\n [-18, -15, 8, 18, 10, 18, 0, -20, 12],\n [-11, 5, -18, -7, -13, 11, 20, 15, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, 0, 5, -7, 15, 7, 7, 0, 20],\n [8, 17, 13, -20, -1, 5, 6, 2, -14],\n [1, 16, 14, -17, 8, 16, 15, -18, -19],\n [-16, -3, 13, -6, 19, 20, -20, 1, 4],\n [-4, 12, -4, 17, -16, 16, -10, -9, 13],\n [14, 18, -5, 3, 10, -7, 11, -8, 17],\n [-4, 15, -3, -2, -14, 9, -9, -10, 8],\n [-18, 13, 13, 10, 1, -19, 6, 15, 11],\n [14, -4, 13, 5, -11, 18, -12, 4, -1]]\nB =\n[[-6, 19, 6, -10, -5, 9, 1, 3, 3, 15],\n [-3, -1, -13, -6, -8, 15, -7, 3, 16, 3],\n [-3, 11, 14, -1, 11, 16, 16, 12, -20, 7],\n [6, -4, -6, -7, 10, 13, -18, -9, 5, 3],\n [13, -13, -9, -12, 5, 17, -2, 0, -8, 14],\n [-18, 4, 11, 0, -7, 10, -13, -14, 15, 14],\n [-2, -19, -16, -19, -3, -6, -5, -9, 15, 1],\n [7, 19, 1, -17, -9, 0, 6, 2, 6, 20],\n [-5, 11, 15, -4, -3, 6, -14, 20, 17, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5393", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[14, 12, 5, 3, 3, 10, 6, -12, -19, -15],\n [10, 4, -5, -15, 2, -16, -4, -12, 5, -8],\n [-14, 19, -3, 16, 3, 11, -14, -1, 13, -2],\n [-7, 11, -12, 15, 5, -1, 8, -5, 10, 3],\n [9, -13, 5, -6, -11, 15, 18, 3, -13, -20],\n [-11, 2, 17, -11, 12, 10, 17, -8, 14, 11],\n [1, -14, -15, 20, -5, -9, -12, 19, -16, -18],\n [15, -11, -13, -12, -8, -2, 2, 3, -18, 12],\n [2, -7, -2, 12, 2, 6, -9, -14, 15, -3]]\nB =\n[[-5, -7, 0, 6, 4, 17, -6, -11, 9, -12],\n [7, -3, -10, 17, -19, 1, 2, -1, 8, 5],\n [20, -9, 8, -2, 13, 6, 9, 16, 10, 7],\n [4, -15, -14, -15, 14, 4, 0, -4, 20, 5],\n [20, -4, -14, 4, 13, 5, -15, -11, -4, -7],\n [-18, -5, -16, 2, 6, -16, 16, 17, -3, -9],\n [0, -14, -4, -12, 20, 3, -10, 4, 16, -14],\n [-4, 20, -2, 0, -12, -13, 6, 2, -11, -19],\n [-14, -19, -5, -15, -5, 4, -11, -12, 11, 11],\n [-19, 0, -18, 13, 8, -1, 2, 16, -13, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1419", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 8) when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, 6, -6, 14, 1, 15, -6, 11, 20],\n [-3, 10, 20, 15, 4, -11, 19, -7, 5, -2],\n [9, 18, -9, 10, -3, -19, -7, -1, 18, -1],\n [13, 13, 16, -18, 14, 12, -2, 10, 1, 6],\n [17, 7, 0, -1, 17, -8, 8, 0, 12, 11],\n [7, -7, 1, 16, 13, -4, 12, 12, 17, 5],\n [18, -14, 4, 9, 20, 12, 18, 7, -3, -11],\n [-19, -7, -8, -20, 11, 4, -11, -6, 8, -4],\n [19, 2, -14, 15, -15, -19, 11, -16, -2, -19]]\nB =\n[[2, 19, -17, -17, -10, 20, -1, -7, 14],\n [-7, -18, -6, 0, -19, 0, -11, 6, -2],\n [-9, -5, -13, 16, 4, 3, 19, -3, 0],\n [-13, -2, 9, 6, 15, 15, 5, -1, 20],\n [-7, 12, -12, 2, 9, 7, 10, 5, 15],\n [15, -10, -9, -19, 19, -17, 11, 20, 13],\n [-16, -16, -17, 20, -9, 14, 16, 13, 7],\n [-14, 19, -10, 11, 11, 10, -1, -15, -3],\n [0, -18, 20, 7, 7, 11, 18, 3, -14],\n [-2, -20, 12, 12, -10, 2, 7, -4, -11]]\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 value at position (7, 1) of the result:\nA =\n[[-13, -12, -2, -13, -16, -7, 12, 17, -9],\n [-18, 19, 8, 1, 13, -15, 14, 18, -5],\n [10, -6, -20, -1, 2, -1, 11, 4, -13],\n [12, 9, -18, 3, -9, 10, -14, 19, -4],\n [-11, -6, 0, 0, 8, 20, -20, 0, -16],\n [-6, 5, -10, 0, -15, -17, 0, -4, 10],\n [2, 11, 15, 13, -15, 17, 1, 12, -10],\n [2, 15, 7, -2, -8, -8, -13, -8, 14],\n [6, -10, 0, -13, 5, 9, 1, 18, -11]]\nB =\n[[5, 6, 1, -8, 18, -14, -9, -8, -9],\n [-9, 17, -18, -13, 10, -8, -13, 16, 3],\n [7, -17, -5, -3, -17, 19, 12, 6, 15],\n [-17, 15, -8, -7, 16, -15, -7, -18, 4],\n [13, -15, 19, -20, -13, -4, -8, -2, 20],\n [14, 12, 12, 18, 17, 17, -12, 16, -20],\n [15, 17, -19, -11, 2, -12, -10, 15, 17],\n [14, -8, -2, 14, 9, -3, -9, -9, 0],\n [-9, 7, 8, 18, 20, -17, 10, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -1, -13, 12, -17, 17, 1, 15, 10],\n [-13, -12, -3, 14, 3, -4, -20, 18, -6],\n [-8, 2, 8, 10, 16, 7, 11, -14, -7],\n [-7, 11, -12, -15, -6, 9, 9, -5, 2],\n [10, -9, 0, -18, -18, 17, 1, 0, -5],\n [-3, -17, -1, -8, 10, -19, 9, 10, 7],\n [-12, -10, 14, 16, -4, 5, -17, 12, -4],\n [-13, 5, -1, 17, 12, 19, -4, -12, -1],\n [-13, 20, -15, -12, -10, -16, -13, 14, 4]]\nB =\n[[15, 18, -15, 3, 0, 15, -3, -20, 8, -4],\n [-16, -15, -13, 4, -2, 18, -12, 7, 10, -20],\n [20, -11, 1, -20, -8, -7, 2, 18, 7, 8],\n [19, 12, -19, 12, 3, -9, 19, 7, 14, -11],\n [13, -16, 20, -3, -15, -10, -20, 2, -17, -14],\n [20, -4, -10, 6, -9, 13, -13, 2, 5, 13],\n [11, -15, -20, -17, 4, -13, 19, -1, -7, 12],\n [-18, -6, 6, -2, -20, 14, 12, -4, -8, -9],\n [18, 5, 6, 3, -4, -10, 1, -13, 11, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "969", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, 19, -16, -8, 4, -11, 5, 5, 0],\n [2, -9, 18, 4, -9, 15, 11, -3, -1],\n [-19, 12, -4, 15, 9, -12, 10, 18, 0],\n [1, -4, -18, 11, 12, -11, -16, -17, 17],\n [11, 17, 20, -1, -12, -6, -13, 13, 9],\n [-11, -7, 13, 1, -8, 8, 8, -14, -15],\n [14, 16, -17, -7, -15, -4, 3, -8, -9],\n [8, 3, 13, -7, 6, -16, 19, -12, -5],\n [-8, -6, 15, 4, -5, 10, 16, 12, -1],\n [5, 14, 19, -14, 10, -4, -13, 2, -3]]\nB =\n[[-9, 9, 15, -6, -3, 4, -8, 3, -4],\n [-20, 16, 6, -1, -3, -12, -11, 4, -20],\n [15, -3, -6, 12, 1, 3, -20, -10, 5],\n [5, -15, 12, -7, 3, 17, 20, -4, -7],\n [-2, -13, 2, -19, -18, -8, -16, -3, -20],\n [16, 0, -2, 17, 13, -19, -1, 10, -8],\n [-7, 17, -9, -8, 3, 19, 10, -7, 9],\n [6, 15, -15, -15, -6, 3, -8, -14, 0],\n [17, 17, -7, -18, 14, -9, 0, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1654", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-16, -10, -15, -16, 1, -20, -1, 3, -1],\n [8, 3, -13, 13, 1, 18, 12, 9, -15],\n [-8, -2, 5, -4, 16, 6, 3, -7, -18],\n [-16, -7, -13, 4, -6, 16, -18, -10, -12],\n [-17, -6, 6, 10, -5, 11, 13, -15, -16],\n [3, -2, 9, -9, -16, 7, 18, 13, -9],\n [2, -16, 19, 16, -5, -12, 12, 16, 12],\n [-20, 16, -12, -3, 17, 0, -7, 18, 18],\n [-15, -18, -3, 16, -1, 8, 15, -5, -17],\n [-7, -4, 14, 14, 11, -11, 8, -9, -12]]\nB =\n[[5, 0, -20, 15, -2, -15, -3, 16, -13],\n [-10, -16, 0, 19, 0, -1, -12, -19, -17],\n [5, -9, -2, -2, -2, 8, 18, 13, -13],\n [-15, 11, 7, -10, 7, 11, 20, -13, -1],\n [3, 6, -10, 2, 1, -16, 13, 10, 16],\n [5, 2, 17, 17, 11, -16, 4, 12, -14],\n [-5, 8, -6, -1, 1, -11, -13, 11, 7],\n [-12, 10, 2, -2, 11, -11, -1, 14, 10],\n [-10, 19, -11, -12, -11, 16, 16, -14, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26530", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -13, -4, 17, 4, -8, -8, -19, 16, -10],\n [-1, -12, 8, 13, -16, 10, 5, 16, -1, -13],\n [-15, -3, -13, 4, -19, 7, 4, -1, -15, 16],\n [-5, 14, 15, -20, -7, -7, 3, -2, 17, -3],\n [-12, -8, -2, -11, 17, -18, 20, -4, 2, 6],\n [-12, -16, -2, 8, -6, 15, -9, -7, -6, 10],\n [-16, -18, 9, -9, -6, 17, 7, 2, -6, -10],\n [9, -9, -2, 11, -20, -5, -10, 10, 12, 15],\n [9, 17, -17, 4, 13, -4, 12, 9, -8, -9],\n [11, 2, 8, 13, -2, -9, -17, 4, 5, -3]]\nB =\n[[9, 13, 12, 10, 10, -8, 3, -16, -20, 13],\n [-12, -13, 15, 8, 14, -16, -11, 17, -11, -10],\n [-13, -17, -3, -1, -18, -6, -13, -15, 15, -1],\n [11, -15, -5, -19, -3, 5, -1, -5, 0, -7],\n [-3, -13, -16, 3, 20, 8, -12, -3, -3, 7],\n [16, -11, -1, 17, 20, 2, -1, 2, -16, 6],\n [-12, 20, 15, 19, 16, -18, 15, 14, 15, 8],\n [12, 5, -13, -12, 1, -16, 20, 15, 11, 9],\n [-4, 9, -12, -17, -9, 14, -1, -4, 1, -14],\n [18, -13, -12, -15, -2, 1, -1, -1, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32463", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, 3, -13, -18, -10, 15, -19, -20, -14, 3],\n [-9, -13, -8, -15, 18, 3, 3, 17, -14, -11],\n [9, 18, 3, 6, 9, -6, -19, -13, -4, -8],\n [-3, 0, 15, -9, -19, -1, 2, 0, 10, -5],\n [-8, -17, -19, -20, 5, 9, 17, -1, 4, -2],\n [6, -11, 20, -4, -19, -4, -14, -5, 6, -20],\n [1, 1, 6, -5, 15, -5, 3, 14, 12, -4],\n [-16, 14, -2, 13, 11, 4, 1, 18, 6, 12],\n [-13, 9, 5, -6, 15, -9, 20, -9, -17, -18],\n [16, 17, 11, 5, -17, -20, -16, -19, -10, -12]]\nB =\n[[-13, 18, -6, -12, 9, 8, 4, 1, 13, 1],\n [9, -11, -16, -16, -19, 9, 1, -8, 18, 4],\n [6, 6, 0, 10, -6, 17, 18, 15, 15, -20],\n [-10, -16, 13, 16, -16, -1, -8, -12, -16, 17],\n [11, 9, 7, 16, 7, -15, 20, 8, -17, -3],\n [-6, 4, -17, -7, -4, 13, -2, 8, 1, -7],\n [15, -19, -14, 7, -13, 8, -11, 0, 14, -17],\n [0, 17, 4, -1, -14, -14, 11, 11, 1, 4],\n [-15, 6, -3, -9, 7, -2, -4, 14, -6, -16],\n [15, 12, 0, 14, 6, 9, 18, 9, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30791", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 1, 16, 5, 1, 12, 3, -16, 3, 14],\n [1, 12, -4, -9, 9, 5, -8, -15, -18, -10],\n [-11, -10, -5, -1, -2, -12, 15, -6, 2, 0],\n [18, -16, 1, 10, -6, 7, 17, -6, -2, 14],\n [-3, -11, -6, 3, -1, 16, -10, -12, -16, -10],\n [18, 6, -19, -1, 0, 9, -20, 14, 5, 11],\n [-12, 19, 0, -5, -9, 15, 16, 6, -14, 9],\n [3, 9, -1, 19, 7, -17, -9, -18, 16, -17],\n [-6, 7, 16, -12, -7, 11, -18, -3, -7, 4]]\nB =\n[[18, 5, -15, 5, 20, -20, 0, -7, -13, 4],\n [-3, -6, -1, -5, -14, 8, 10, 8, -4, -16],\n [-3, -7, 10, -3, 4, -10, 5, -16, -5, -13],\n [-8, 11, 6, 5, -12, -14, -13, -19, -3, 15],\n [3, 13, 17, -10, -11, 8, 19, -15, -11, 9],\n [7, 8, 4, 15, 6, 13, 13, 11, -17, 13],\n [-5, -10, -6, 17, 9, 6, -5, -20, 4, 7],\n [-7, 13, -17, -7, -5, -6, 13, -8, -4, 7],\n [-11, -4, -13, -19, -20, -16, 14, 1, -5, -12],\n [15, -12, -7, -11, 1, -5, 20, -18, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6384", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -20, 7, 1, 11, -10, 5, 10, -1, -1],\n [12, -16, 20, -18, 13, 10, -14, 9, -3, -5],\n [-8, 12, -14, 9, -10, -15, 0, 11, -16, 8],\n [14, -9, 16, 1, -10, 2, -11, 3, -5, -9],\n [11, 3, -17, 12, -3, -4, 0, -20, 4, 10],\n [-1, 5, -2, 9, 4, 15, -3, -17, 6, 12],\n [-15, -14, -20, 17, 14, 2, -5, 13, 13, 10],\n [10, -10, -13, 3, 2, 11, -6, 7, -1, -7],\n [5, 16, -19, 13, 13, 13, -12, -18, 9, -2],\n [10, -5, 3, -6, 1, 11, -10, 8, 3, -2]]\nB =\n[[-16, 20, 17, -20, 9, -9, -17, -6, -4],\n [-9, -20, -8, 9, -11, 15, -15, -12, -19],\n [-15, -10, 5, 7, -8, 17, -9, -2, -3],\n [-2, 7, -9, 11, -8, 2, 15, 9, 1],\n [17, -18, -12, -6, 9, 5, 9, -16, 10],\n [1, 20, -6, 14, -2, 13, -3, -7, 1],\n [3, -8, -13, -19, 6, 13, 8, 5, 2],\n [15, -12, 0, 15, -18, -14, 2, 11, 2],\n [-5, -16, -8, -11, -19, -5, -20, -15, -2],\n [12, 7, -16, -9, 9, -4, -2, 19, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3792", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[14, -12, 11, 18, 17, -6, 16, 5, 10, 9],\n [-19, -14, 9, 12, 18, 17, -1, -2, -12, 1],\n [11, 9, -15, -4, 16, -6, -14, -7, -1, 9],\n [-3, 1, 4, 3, 10, -3, 13, -3, -7, -17],\n [-14, -14, -20, 19, 3, 11, -11, -12, 18, -18],\n [14, -16, -14, -9, 2, 4, -4, -7, 14, -20],\n [1, 7, 2, -3, 16, -18, -7, 18, -14, -4],\n [-15, -2, -6, 18, -16, -6, 5, 18, -8, 10],\n [-8, 2, 19, 11, 16, -17, -4, -1, -10, 12]]\nB =\n[[18, -15, 18, 17, -3, -19, 20, 17, -4, 3],\n [9, 3, -17, -14, -6, 9, 8, -8, 19, 18],\n [8, 5, 15, 14, -2, -19, -7, -5, 15, 19],\n [20, 10, 14, 1, 0, 7, -4, -3, 11, 2],\n [-15, 8, -15, 12, 11, -4, -17, 10, 1, 6],\n [0, -1, 13, 2, -5, -15, -5, -14, -7, -18],\n [12, 15, 18, 8, 18, -17, 18, 19, 20, 1],\n [-6, -17, -3, 2, 17, -17, -17, -3, -20, 11],\n [0, 17, 5, 20, 0, 8, 20, 11, -17, -8],\n [14, 6, -20, 18, -7, 16, 9, -7, -10, 10]]\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[[7, 6, -18, -15, 18, -2, 20, 13, 7, -9],\n [18, -11, 4, 2, 5, -2, 17, -1, -3, -10],\n [4, -20, 11, 12, -14, 10, 5, -14, 15, 3],\n [-16, 1, 15, -18, 16, 17, -15, 4, 2, -9],\n [7, 19, 11, 4, 13, 9, 16, -3, 14, 16],\n [20, -15, -2, 1, 11, 6, -5, 5, 18, -17],\n [-5, -2, 7, -4, -19, -19, 3, 6, -17, 15],\n [-1, -9, 7, 8, 12, -3, -9, -11, 3, -4],\n [11, 4, -14, -1, 8, -2, -10, 12, -6, 10]]\nB =\n[[-8, -2, -15, 7, 1, 7, -5, 12, 20],\n [5, 2, -20, 8, -13, 18, -18, -8, -1],\n [-16, -9, -4, -7, 5, 9, 11, 9, -9],\n [15, -2, 4, 12, 0, -19, 16, 0, 5],\n [11, 6, -4, -17, 18, -6, 12, -7, 5],\n [-19, -1, 5, -19, -19, -4, -3, -17, -4],\n [12, 2, -8, -14, 20, -20, 19, 10, 15],\n [4, 20, 19, 9, 17, 0, -2, -5, 12],\n [-15, 16, -13, -20, -8, 5, -5, 18, 7],\n [2, -14, 3, -13, -20, -17, 20, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[15, -20, -2, 8, -2, -15, 4, 18, 2, -20],\n [-6, 4, -17, -20, 19, 0, -11, -19, -4, -8],\n [6, 20, 7, -11, -11, -12, 13, 18, -17, -17],\n [-17, 20, -10, -20, 0, 4, -12, 4, -3, -14],\n [5, -3, -20, -12, -11, -10, 11, 0, 15, 11],\n [-2, -13, 14, 1, -17, 8, 10, -13, -9, -16],\n [9, 14, 16, -17, 0, -5, -3, 10, 17, 11],\n [12, -2, -1, -11, 5, -3, -6, 15, -3, 10],\n [-6, 17, 8, -6, -20, 16, 20, 2, -10, 17],\n [-5, 9, 8, 20, -18, 19, -4, 5, -12, -4]]\nB =\n[[16, 10, 10, -10, 17, 1, -18, 7, 11, -17],\n [19, 17, -10, -20, -5, 13, 11, 12, -10, 15],\n [-8, -1, 4, -15, 16, 5, -17, 5, -3, -8],\n [-13, 12, -5, 18, 10, 19, 2, -5, -11, 15],\n [10, 11, 0, -5, 8, -5, -6, -13, -6, 0],\n [0, -14, -2, 1, 17, -8, 5, 1, -14, 14],\n [-18, 14, -5, -5, -19, 17, -4, 17, 3, 1],\n [2, -2, 1, -4, -19, -7, 7, -8, 17, -4],\n [-12, 19, -7, -19, 0, 14, 9, -4, 18, 4],\n [18, 14, -15, -18, 15, -20, 13, -20, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38083", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[15, -15, -10, 19, 9, -7, -11, 10, 15],\n [-6, 9, -7, 2, -4, 6, -8, -7, 5],\n [-10, 17, -20, 3, -1, -13, -13, 9, -3],\n [-8, 15, -2, -8, 20, 5, -12, 13, 10],\n [-14, -12, 19, 5, 12, 12, 19, -17, 7],\n [-17, 13, 19, -15, 12, -16, -2, -3, -18],\n [13, -19, -20, 14, -17, 14, -13, 8, 15],\n [-7, 9, -14, -8, 1, -19, -13, 0, -1],\n [-10, 13, -16, 9, 12, -9, -16, -20, 14],\n [4, -17, -12, -18, 9, -1, -11, -1, 19]]\nB =\n[[-18, -10, -6, 7, 14, -14, 12, 17, -2],\n [8, -19, -2, -12, -15, -4, -19, 18, -15],\n [-7, 5, -3, -15, -9, 17, 1, -7, -8],\n [-12, 11, -11, 6, -7, -12, -12, 5, 11],\n [20, 14, 5, 20, -18, 9, 8, -1, -17],\n [-7, 18, 0, -14, -15, 19, -15, 4, -17],\n [16, 4, -3, 13, 4, 1, -7, 16, -10],\n [6, 5, 14, -5, 19, -1, -6, -7, -13],\n [3, 12, -5, 6, 7, -7, -12, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31542", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 11, -5, 4, 2, 16, 7, -18, 2],\n [12, 18, 4, 4, 18, 0, 10, 9, 18],\n [13, 17, -14, 6, -8, 8, 2, -13, 0],\n [-8, 5, -11, 8, 6, -17, 10, -4, -13],\n [16, -1, -11, 13, 18, -10, -9, -11, -8],\n [13, 9, -6, -13, 17, 15, 19, 1, -16],\n [11, -1, 2, 19, -19, -2, 5, 15, -7],\n [-14, -5, -11, 1, 5, -16, -9, 3, 3],\n [-6, 3, 3, 5, 13, -3, 16, -15, 4]]\nB =\n[[-4, -5, 8, -20, -1, 5, 0, 6, 15],\n [14, -5, 8, -14, -14, 13, -16, -13, -13],\n [8, -11, -20, 17, 7, -14, -4, 3, 14],\n [-12, -18, -17, 11, -8, 3, -14, -2, 6],\n [6, -3, 9, 7, 8, -12, 18, 18, 0],\n [17, -14, 4, 5, -15, -1, -3, -1, 19],\n [-3, -20, 12, 18, 2, -7, 7, 0, 16],\n [-14, -9, 16, 18, 7, -14, -4, 16, -7],\n [-17, 1, -4, 14, 11, 17, 10, 4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1347", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-19, 6, -9, -5, -5, -18, 4, -3, 18],\n [19, 11, -18, -13, -16, -1, 4, -15, 7],\n [2, 3, -11, -11, 12, -12, -3, -18, 12],\n [-11, 6, 14, -3, -14, -14, 1, -11, 6],\n [-17, -9, -18, -18, 4, 5, 19, -14, 13],\n [-11, -18, 7, -10, 11, -13, -1, -16, 20],\n [-8, -10, 13, -18, -6, 12, -11, -18, 20],\n [-7, 12, 12, 15, 2, -20, 6, 11, 0],\n [-1, 6, 15, 20, 11, 18, 8, 2, 14],\n [-6, -11, -6, 4, -4, 10, -10, -1, 10]]\nB =\n[[-5, 15, 18, -10, -1, 5, 5, -15, 14],\n [-13, -14, 16, -5, -12, -10, 0, -14, -9],\n [19, 0, -16, -15, 5, 8, -18, -10, 2],\n [4, -9, -20, -17, -20, -15, 13, 6, -5],\n [-10, -7, 17, -11, -8, 13, 12, 12, 18],\n [-8, -4, -12, -8, -5, 16, 9, 18, 12],\n [19, -15, -9, -19, 12, -6, -4, 14, 10],\n [9, 17, -5, 19, -4, -14, -16, 19, 6],\n [-20, -19, -17, -20, 8, 0, 14, 13, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4881", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 10) of the product matrix AB given:\nA =\n[[-19, 4, -15, -13, 14, -2, -12, 12, -13],\n [17, 11, 2, 13, 2, 11, -20, -14, 3],\n [-19, -3, -2, 15, 7, 14, 11, -8, -15],\n [8, -11, 19, -11, 13, -1, 12, -10, 3],\n [12, 1, -9, 9, 11, -2, 19, -19, -7],\n [12, 11, 20, -2, -7, -17, -19, -11, 8],\n [-6, 10, 12, 8, -10, 19, -12, 8, 16],\n [0, 10, 1, -3, -19, 1, 16, -1, -17],\n [5, -1, 1, -1, 8, 10, 2, 17, -5]]\nB =\n[[-2, -10, -9, 15, -8, -19, -10, -20, 20, -11],\n [-18, -13, -5, 15, 19, 18, -1, -13, -11, 16],\n [11, 6, 10, -18, 18, -15, -4, -11, 0, 8],\n [8, -1, -6, -19, 12, -9, -8, 18, 18, 17],\n [0, 20, -5, 13, 6, -18, -12, 13, -2, 17],\n [5, 2, -3, 19, 20, 17, -11, -11, 0, 17],\n [17, -14, -9, 20, 12, 4, 7, 3, 10, -3],\n [2, -14, -13, -6, 17, 7, 6, 0, 6, 20],\n [-7, 0, -7, -15, -9, 7, 8, 16, 17, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "646", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, -9, -9, -10, 7, 14, 13, 1, 18],\n [2, -9, -2, 10, -8, -2, 15, 1, 9],\n [-17, -8, -1, 18, -15, -9, -5, -4, -13],\n [12, 18, -9, 5, -2, -8, -11, 13, 10],\n [6, -18, -16, -16, 16, -14, 19, -8, 13],\n [15, 13, -18, -11, 14, 16, -15, 0, -16],\n [-18, -1, 9, -9, 14, 11, -2, -6, -11],\n [5, -15, 5, -19, 11, -18, -2, 15, -1],\n [9, 16, -1, 13, -4, 2, 20, -12, 6],\n [-4, 20, -4, -19, -6, -10, 16, 20, -12]]\nB =\n[[-7, -13, -9, -14, -18, 5, -18, -17, 11],\n [-7, -18, -8, -13, 17, -19, 17, 10, 18],\n [6, -4, 14, 3, -20, 8, 5, 14, 3],\n [12, 5, 16, 18, 5, 17, 17, -10, 8],\n [8, -18, -12, 14, -15, -12, -13, 6, 13],\n [3, -16, -11, -1, 1, -9, 8, 10, -15],\n [-14, 12, -6, -8, 3, 9, 12, -1, -2],\n [-2, 17, 3, -16, 1, 1, 7, -4, 10],\n [-14, -4, -9, -14, 8, -13, -17, 19, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33405", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 1, -10, 20, -10, -16, 17, -9, 19, 4],\n [-8, 5, -10, 19, 2, -8, 12, 7, -17, 7],\n [13, -11, -13, -12, -3, -19, -3, 19, -19, 1],\n [-5, 16, 11, -11, 20, 13, -5, 13, 16, 19],\n [13, -8, 16, -9, -6, 9, 10, 8, 13, 11],\n [2, -11, -13, 0, -10, -9, 18, -2, 13, 17],\n [13, 5, 19, -5, -2, 8, 17, 15, 0, -11],\n [2, -14, 17, -16, -2, 12, 3, 2, 1, 15],\n [0, -3, 17, 6, 16, 4, 18, 9, -7, 13]]\nB =\n[[11, 10, -19, 18, 14, 2, -15, 0, 5, 9],\n [20, 9, -13, 18, 12, -11, -3, 15, 20, -10],\n [-13, -20, -13, -16, -20, -18, 6, 2, 18, 19],\n [-10, -10, 15, 17, 10, 3, -2, 11, 19, 17],\n [-4, 14, -9, -6, 18, -8, 9, -2, -12, 7],\n [4, 19, 20, -17, 16, -14, 20, -17, 2, -15],\n [-12, -12, 0, -18, -8, 17, -3, 10, 8, -19],\n [10, 17, -14, 19, -11, -8, -20, 16, 4, 9],\n [-19, 15, 3, -9, -16, -6, -14, -19, -18, -17],\n [-5, 6, 1, -18, -4, 1, -14, 9, -13, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9487", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-14, -20, -5, 19, 10, 18, 6, -11, 13],\n [-7, -19, 18, 1, 5, -16, 17, -5, -9],\n [20, -4, 4, 3, -10, -3, 15, -18, -2],\n [-15, 2, 19, -14, -12, -19, -10, -18, 9],\n [-13, 16, 0, -13, -10, 20, 13, 18, -5],\n [-14, -17, 11, 16, 1, -14, -8, -3, 13],\n [-8, 13, 8, -16, 10, -10, 17, -17, -14],\n [2, 10, -4, -11, 1, 9, 8, -4, 0],\n [1, 18, 19, 1, 6, 2, -17, 5, 18]]\nB =\n[[-4, -18, -4, 19, -2, 18, -3, 7, -6],\n [5, 14, -5, -6, -16, 3, -19, 15, 10],\n [9, -9, 16, 0, -9, 19, 16, 14, 1],\n [15, -13, 6, 6, 15, -14, -18, -17, 3],\n [-13, -8, -12, -1, -1, -16, -16, 14, -20],\n [-6, -4, -9, 15, -6, -7, 6, 1, -12],\n [0, -18, 10, -8, -19, -7, -14, 8, -17],\n [-17, 3, 0, 7, 17, -13, -4, -12, -1],\n [-16, 14, 20, 8, -9, 11, 10, 10, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1510", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 2) when matrix A is multiplied by matrix B?\nA =\n[[-16, 15, -9, -5, -5, 0, 12, 5, -18, 2],\n [4, -1, 15, 14, 12, -16, -17, -13, -10, 6],\n [-11, -1, 11, 6, -3, 5, 14, 7, -20, 13],\n [5, -15, 4, -4, 5, 0, 11, 4, 11, 20],\n [-2, -19, 14, -5, -5, 12, 3, 10, 2, -4],\n [12, 16, 15, -2, 0, 18, 19, -2, -13, 5],\n [20, -3, -7, -3, 16, 7, 12, -15, -14, -16],\n [6, -13, 17, 12, -9, 16, 16, -6, -4, 16],\n [8, -18, -10, 5, 19, -15, 14, 3, 18, 13]]\nB =\n[[3, -2, -8, -12, -2, 11, 0, 11, -9, 8],\n [12, -20, -17, -8, 2, 7, -9, -2, 12, -3],\n [13, 9, -15, -17, -9, 2, 7, -10, 7, 19],\n [13, 13, 0, 15, 7, 13, 20, 8, 5, -8],\n [13, -2, -13, 8, 19, -5, 7, 9, 2, 8],\n [-1, -4, 5, 18, 12, -7, 10, -5, 0, 14],\n [-2, -15, 2, 5, -12, -8, -6, 11, 18, -4],\n [8, 19, -3, 13, 4, -9, -6, 3, -12, 19],\n [-1, 4, 3, 5, -7, -16, 8, -13, -4, 1],\n [-3, 6, -19, -20, 20, -13, 0, 3, -19, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-759", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 13, -9, -16, 15, -13, 9, -11, 0, 13],\n [13, -17, -10, 1, 20, 2, 13, 9, 4, 3],\n [4, 9, 18, -5, -11, 10, -10, -12, 15, -2],\n [-16, -9, -11, -7, -1, -1, 15, 4, 20, -16],\n [20, 6, -19, -9, 7, -8, 0, -13, -9, 20],\n [-10, -2, -13, 6, -14, 0, 6, -7, 11, 8],\n [3, 7, 3, -19, 10, -9, -20, 0, 8, 9],\n [-20, 1, -13, -8, -7, -20, 11, 17, -9, -5],\n [3, -1, 11, 6, 13, 1, -18, -4, -7, 6],\n [18, -1, 10, 20, 10, 8, 11, 9, 6, -2]]\nB =\n[[7, -11, -5, 10, -11, -11, 7, -9, 12],\n [7, -3, 7, 7, 18, -7, -13, 9, 15],\n [-18, -11, -12, 19, -8, 1, 3, -14, -8],\n [-15, -11, -10, 8, -5, -1, 0, 8, -7],\n [20, -5, -12, -15, 17, 8, -3, 3, -4],\n [15, 0, -2, 2, 6, -10, 5, -10, 1],\n [-2, -13, 2, 2, 19, -12, 3, -9, -9],\n [11, -19, -15, -17, -8, 15, 20, 18, 17],\n [-3, -6, 12, 9, 15, 4, -17, -3, 12],\n [-1, 0, -20, 13, -12, -20, 6, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1913", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 13, -11, 9, 20, 4, -18, 1, 19],\n [3, 6, 5, -5, 17, 20, -17, 2, -2],\n [-6, 10, 3, -10, -11, -13, -18, -2, -17],\n [8, 20, 0, -12, -3, -2, -4, 3, -15],\n [10, 6, 13, 6, 6, 14, -9, 8, -15],\n [16, -14, -15, -2, -7, 0, -7, 19, -7],\n [11, 5, -18, -6, 0, 9, -7, 18, 16],\n [20, 7, -19, 1, -14, 11, -5, 15, -19],\n [-4, -18, 2, 16, 18, 7, 20, -13, 12]]\nB =\n[[-17, -14, -10, 19, -13, -1, 18, 7, -10],\n [1, 15, -15, -14, -11, 19, -17, -12, 17],\n [-2, 12, 17, 1, 18, -20, 0, -14, -14],\n [1, -8, 2, 1, 5, -3, -14, -19, -2],\n [-7, 4, 12, 18, -1, -16, 0, -8, -7],\n [-5, 20, 7, -20, -19, -13, -8, 17, -2],\n [-19, 10, -11, -16, 2, 9, 11, -20, -18],\n [9, 16, 7, 0, -8, 19, 5, 19, 9],\n [3, 17, 20, -16, -5, -5, -11, -3, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31168", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 20, 19, 10, 5, 5, 19, -9, -3, 13],\n [14, -10, 9, -10, -17, 15, -11, 13, 10, 11],\n [7, 16, 11, 11, -4, 13, 14, 18, 0, 11],\n [13, 13, -13, -5, 14, 2, 1, 10, 8, 17],\n [-2, 15, -12, 14, -20, 12, -4, 5, -8, -16],\n [-2, -12, -15, 0, 1, 18, -16, 1, -14, 5],\n [4, -16, 11, -13, -12, 7, -1, -17, -18, 20],\n [-10, 8, 1, -13, 13, 10, -17, -6, -3, -10],\n [6, -2, -12, 4, 1, 2, 16, -11, -4, -8],\n [-17, 11, 7, 9, 19, 0, -6, -18, -4, -6]]\nB =\n[[12, -16, -13, -12, 5, -19, 16, 15, -9],\n [-2, 6, 3, -19, -5, -19, 0, -11, -4],\n [-9, -14, -12, -11, -5, -20, -12, -8, -5],\n [13, 20, 9, -8, -13, -10, 10, -10, -14],\n [-20, 2, 11, -6, -3, 7, -7, -8, 13],\n [-1, 3, 7, -10, 7, 1, 9, 17, -4],\n [1, -20, -1, -16, 12, -20, -12, 11, 5],\n [-15, 9, 19, 2, 18, 4, 4, -8, 4],\n [-4, 6, -10, -15, -6, 16, 11, 3, -10],\n [8, -13, 16, -11, -11, -20, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1647", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 9) of the result:\nA =\n[[-16, 17, 10, 18, -1, 8, 12, 18, 11, 4],\n [6, 2, -19, -17, 4, 2, 20, 15, 20, 2],\n [12, 7, -13, 12, 8, -6, -6, 16, -2, 0],\n [14, 5, 7, 1, 15, -5, -9, 7, -14, 12],\n [3, -10, -6, -2, -6, -12, -8, 8, 5, 2],\n [-4, -16, -5, 18, 9, 0, -16, 5, 9, 1],\n [-19, -9, 6, 5, 4, -2, 6, -4, -15, 2],\n [-3, -19, -2, -17, 12, 13, 11, -3, -12, 16],\n [15, -18, -3, 19, 4, -19, -20, 3, 3, 19]]\nB =\n[[-17, 14, 14, -9, 2, 1, 5, -17, -14, 2],\n [10, -14, 1, 18, 19, -2, 9, 5, 20, 1],\n [-12, 8, 11, -3, 10, 11, -12, 9, 16, 11],\n [-13, 3, -17, -4, 0, -12, -16, -16, 9, -15],\n [17, -13, 12, -6, 16, -12, -18, 10, 18, -14],\n [-5, 7, 14, -6, -14, 14, 10, 17, -13, 17],\n [-5, 13, -20, -2, -7, -2, 2, -17, 13, -19],\n [-9, 2, -3, 11, -4, 10, 15, 5, -9, 14],\n [-5, -17, 7, 17, 12, 16, -11, 10, -7, -16],\n [-11, 4, 20, -4, -1, 12, -12, 10, -16, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-502", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-17, 10, -17, -3, -3, 19, 13, -7, 5],\n [2, 12, -4, 11, 14, 9, -6, -14, -15],\n [-12, -8, 19, -3, 14, -20, 3, 15, -5],\n [-3, -18, 16, -13, -3, 8, 16, 6, 8],\n [-17, -9, -8, -7, -7, -11, 1, -12, 3],\n [-4, 3, -16, 13, -20, 6, 19, -13, -15],\n [-16, -3, -14, 15, 12, 13, 11, -18, -20],\n [0, -8, -13, 9, -13, 6, 18, 2, -13],\n [-6, -14, -9, 15, 17, 9, -11, -2, -3]]\nB =\n[[-1, -19, 9, -10, 1, -2, -18, -17, 14, 17],\n [-12, -13, 13, 10, 19, -2, 16, 11, 7, 20],\n [-3, 4, -11, -16, -6, 4, -1, -11, 17, 20],\n [7, -15, -10, -2, -5, 11, -19, 18, 5, 0],\n [17, -6, -8, -14, -18, -6, -1, -18, 6, -6],\n [-18, 7, -20, -1, -10, 4, -17, -2, 7, -11],\n [0, 15, -5, 12, -8, 8, -17, 6, -13, 20],\n [-13, 4, 5, -20, 12, -2, -1, -3, 5, 18],\n [-12, 6, -15, -1, 17, -20, 17, -5, -17, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "518", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -12, -13, -14, -9, -20, -9, -5, -7],\n [9, -2, -2, -8, -11, 8, 7, -8, -6],\n [-4, 2, -11, 15, -7, 11, 13, 10, 18],\n [11, -5, 5, -4, 1, 15, 14, 2, 4],\n [-16, -15, 5, 17, -15, -2, -2, 10, 16],\n [2, -9, -8, 1, -18, -9, 16, 10, -8],\n [2, -8, -15, -18, -14, -11, 10, -17, -15],\n [-3, -14, 13, 2, -13, 3, 7, -18, -8],\n [18, 12, -5, -10, 8, 4, -4, 16, -15]]\nB =\n[[-7, -2, 16, -9, -2, 0, 8, 7, -4, -19],\n [-15, 4, -2, -15, -20, 13, 0, 0, 6, 2],\n [15, 15, 11, 18, -4, -7, 1, -4, 8, 17],\n [5, 10, 13, 6, -4, 2, 13, -3, 0, -1],\n [11, -9, -17, -12, -10, 9, 5, 11, 7, 19],\n [16, 20, -5, -13, -18, -18, -11, -9, -6, 6],\n [-10, -15, -9, -3, 4, 13, 5, 3, -5, 15],\n [15, 0, 9, -1, -2, -10, -7, 15, -5, -18],\n [1, -16, -19, -9, -19, 16, -2, 3, -16, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1794", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[7, 14, -2, 10, -2, -2, -1, -4, -9, 14],\n [5, -13, 19, 4, 4, 1, -8, -6, 2, 7],\n [-8, 11, -10, -7, 14, 14, 19, 2, 19, -8],\n [-15, 8, -6, -16, 12, 19, -19, 12, 4, 6],\n [4, -16, 19, -17, -7, -4, 20, 6, 15, 13],\n [-11, 1, 20, 1, 7, -1, -19, 2, 13, -5],\n [7, -7, -20, 20, -6, -6, 4, -16, -13, 1],\n [18, 17, 18, -7, -2, 5, 17, 12, -9, 8],\n [-9, 8, 20, 20, -1, 13, 9, 8, 18, 19]]\nB =\n[[-19, 5, -20, 7, -13, 10, 18, -2, -8],\n [-5, 2, -10, 3, -11, -16, -9, 15, 5],\n [7, -5, -19, 5, -17, 8, -5, 1, -15],\n [7, -10, 0, 5, 18, 1, 9, 9, 12],\n [19, 9, 16, 9, 5, -15, -17, -6, 15],\n [-18, -5, -5, 19, 6, -15, 0, -8, -12],\n [20, -13, 7, -2, 8, 10, 12, -15, -17],\n [-5, -18, 4, -4, 1, -3, 11, -3, 5],\n [4, 7, 19, 2, -13, -8, -11, 20, -18],\n [-11, -6, 3, -11, 0, 17, 18, 7, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "364", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-19, 20, -17, -18, 11, 13, -5, -17, -3, 7],\n [-15, -20, -5, 16, -12, -4, 15, 13, 10, 13],\n [16, 13, 16, -20, -6, 10, -7, 13, -20, 14],\n [-10, -4, -16, -4, -3, 4, 14, -5, 2, 19],\n [0, 8, 15, -11, -1, -14, 9, 8, -20, 0],\n [-14, -17, 18, -6, 13, -19, 16, -18, -17, 15],\n [6, -17, 15, -2, 13, -5, 19, 1, 11, -19],\n [-4, 2, -9, -8, -11, -17, -14, -19, -6, 15],\n [-12, 3, -15, -14, -5, -4, 9, -13, -18, 4],\n [8, 0, -15, 2, -10, -15, 6, 6, -8, -12]]\nB =\n[[-13, 6, 11, 8, 12, -16, 17, -12, -8],\n [12, 9, 4, -15, 18, -11, 15, -2, -10],\n [-4, -19, -14, 20, 10, 10, -4, -6, -14],\n [9, 18, -7, 10, -12, -12, -19, 1, -5],\n [-19, -6, -15, 2, 7, -4, 15, -2, -16],\n [2, -2, -20, 6, 4, -15, 15, -4, -9],\n [4, -11, 18, 3, -10, 3, -18, 19, -1],\n [2, -16, 15, -8, 15, -15, -19, 8, -16],\n [-6, -13, 13, 16, 5, -12, -13, -7, 4],\n [13, -18, 11, 15, -16, -6, 7, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4502", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, -17, -1, -16, -20, -8, 1, -8, -6],\n [-12, -18, -19, -9, 3, -3, 15, 4, -6],\n [-20, -13, 16, -14, 14, 17, -5, -4, 17],\n [9, 16, -3, 15, -9, 7, -10, -15, 5],\n [-5, 17, -12, -3, 12, -2, -12, -12, -16],\n [2, 13, 17, 1, -16, -20, 5, -3, 5],\n [-6, -19, -6, -10, -1, -4, -16, 12, 4],\n [-14, 13, -6, -8, 11, 18, -7, -1, -5],\n [9, 20, -2, 1, 16, -11, -13, 8, -7]]\nB =\n[[-10, 9, 12, 13, 18, 16, 16, -16, 20, -16],\n [-4, -2, 5, -19, -7, 7, -17, -18, -6, 1],\n [-2, 13, -11, 13, -5, 16, 15, 1, 11, -4],\n [-12, 12, 12, -19, -7, 16, 12, -20, 1, 9],\n [6, 12, -5, -11, 6, 16, -19, 9, -2, -2],\n [14, -10, 11, -5, -4, 8, -1, 15, 3, -17],\n [-16, -2, 3, -20, 14, -19, -11, -15, 19, 17],\n [-1, -2, 15, 8, 20, 3, -12, 11, 19, -16],\n [0, -4, 3, 6, -3, 1, -15, 7, -1, -5]]\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[[-2, -13, -3, 16, 10, 17, -19, 11, -6, -10],\n [-16, 8, -1, -1, -3, -9, -4, -17, -2, 2],\n [6, -7, -17, -17, 3, 2, 15, -10, 12, 17],\n [-16, 6, 16, 6, 10, -9, -15, -9, -7, 1],\n [-10, 19, 18, 17, -8, -15, -1, -19, -10, -13],\n [9, 6, -17, -14, 3, 11, -2, 14, -18, -3],\n [16, 1, 12, 17, 18, 13, 2, 14, 8, -19],\n [-7, -13, -20, 7, -18, -14, 13, 11, -12, 14],\n [-2, -6, 10, -5, 16, -14, 14, 8, -19, 13],\n [14, 10, -9, -20, 8, -20, -20, -6, -18, -7]]\nB =\n[[-11, -18, -1, 15, 6, 15, -10, -18, 3, 18],\n [-11, 5, 11, -13, -8, -18, -6, 0, 8, 6],\n [9, -7, 20, -6, -7, 4, 6, -19, -4, -6],\n [6, -11, -12, -18, 3, -20, 17, -15, -16, -17],\n [-18, 9, 15, 2, -14, 11, -11, 16, 12, 5],\n [10, 9, 2, 8, -13, -5, -12, -17, -2, 18],\n [20, -8, -9, -12, -9, 3, -8, 14, 11, 17],\n [-7, -19, 0, 10, 14, -5, 19, 5, 17, -18],\n [16, 15, 17, -19, 1, -18, 19, 5, 6, 17],\n [-13, 2, -15, 4, -5, 5, -6, 11, 19, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4156", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 7) of the product matrix AB given:\nA =\n[[-7, 14, 5, 16, -8, -13, -7, 5, 9, 19],\n [-8, 15, -10, -19, 9, 3, -3, 2, -15, -10],\n [-14, 12, -11, 0, -12, 9, 4, 4, 3, -9],\n [-14, 13, -18, -15, 6, -2, -13, 15, 18, 15],\n [-3, -14, -20, -16, -7, -20, -9, -2, -19, -7],\n [-18, 14, -8, -18, -7, 13, -12, -11, -13, 8],\n [18, 12, 2, -13, 19, 17, 2, 15, -1, -9],\n [15, -12, 12, -15, 11, -20, 3, 8, -13, -8],\n [4, 8, 3, 6, 5, -1, -17, 1, -14, -3],\n [-11, 10, 5, 5, 4, -3, 3, -6, -13, 4]]\nB =\n[[14, 3, 19, 17, 0, -20, 5, -11, 5],\n [-19, 19, -7, 12, 18, -20, 9, 16, -3],\n [9, 6, 9, 15, 0, -5, -4, -3, 13],\n [0, -9, 10, -11, 20, -17, -6, 20, 7],\n [-14, -10, 8, 13, 9, 6, 4, 17, 19],\n [2, 8, -10, -17, 15, 10, -11, -5, 9],\n [14, -4, -16, -18, -5, -17, -12, -17, 0],\n [-11, 10, -4, -5, 18, -15, 9, -6, 10],\n [9, 16, -5, 15, -19, 7, 19, -4, 20],\n [17, 15, 11, 4, -8, -7, 4, 14, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-6, -6, 19, -4, 4, 2, 11, 10, 2, 17],\n [-4, 8, -19, -10, -5, -4, 0, 0, -15, 2],\n [11, 18, 17, 8, 10, 4, -19, 1, 16, -6],\n [-15, 12, -10, -9, 3, -18, 9, -2, -14, -9],\n [8, -13, 0, -8, 6, -17, 11, 3, 20, -12],\n [-11, -10, 12, -14, -10, 7, 17, 9, -13, 6],\n [1, 11, -7, 5, -10, -14, 9, -19, 14, 5],\n [4, -20, 8, 3, 17, -20, 4, 13, -16, 20],\n [-9, -13, -7, -1, 19, -12, -16, -20, -10, -17]]\nB =\n[[17, -4, -17, 11, -16, 1, -7, 0, -3],\n [-18, -10, 18, 15, 6, 17, 4, 18, 14],\n [-6, 0, -18, 3, -16, 16, 12, 3, -15],\n [-14, -2, 0, -15, 19, -18, -7, -1, -7],\n [-19, 4, -17, 20, 12, -19, 2, 0, -6],\n [3, -1, 17, 4, 1, -17, -5, -14, 3],\n [13, 18, 8, 5, -7, -1, -14, -3, -11],\n [9, -18, -20, 9, -19, -6, -10, 11, -15],\n [-15, 7, 4, 2, -9, -11, -4, -19, -4],\n [-12, -14, -8, -11, 1, 7, -7, -2, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, -17, 3, -7, 16, 2, -16, -1, 1],\n [19, 14, 15, -16, 12, 3, 13, 16, 4],\n [16, 4, 1, -16, -13, 20, 6, 14, -20],\n [-1, -14, -18, -12, -7, -2, 6, -15, -14],\n [16, 5, -8, 16, 12, 12, 20, -12, -6],\n [-16, 8, -14, 10, 13, -10, -2, -16, 2],\n [-19, -17, -4, 10, 9, -19, 3, -11, 7],\n [11, 12, -3, 3, 16, 9, -16, 2, 9],\n [-17, 20, 3, -18, -6, -20, -11, 5, -9],\n [-20, -19, -10, -9, 7, 12, -18, 20, -2]]\nB =\n[[-3, 16, 7, 10, -14, 17, -16, -2, -8, 18],\n [7, -19, -15, -6, 7, 16, 4, 11, 16, 15],\n [9, 3, -3, -20, -18, -14, 12, 0, -7, 16],\n [-18, 16, 4, 12, -8, 12, 8, -2, 5, 17],\n [-12, 9, 1, -17, -14, -3, -15, 8, -16, -15],\n [13, 13, -20, -3, 6, -11, 18, -19, -2, 6],\n [1, -11, 6, -9, -6, -20, 17, 20, 3, -15],\n [8, -15, 17, -6, -13, 8, -19, -10, -12, -5],\n [3, 13, 3, 17, 17, 4, 20, 12, -4, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1050", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 15, 20, -2, -6, -15, 15, -16, -16, -19],\n [-3, 11, 8, -1, -2, -5, -10, 7, 1, 6],\n [-4, -13, -13, 2, 11, -6, 6, -17, 19, 11],\n [16, -11, 7, 11, 11, -6, -15, -12, 17, 9],\n [20, 19, -5, 4, -11, 9, -12, 19, -14, 19],\n [-9, -4, 4, -14, -2, -4, 11, 2, 11, 5],\n [-13, 1, -13, -16, -9, 6, -1, -10, 15, -19],\n [-11, -14, -9, -5, 10, 6, 11, 19, 6, 4],\n [19, -16, -17, -6, -8, 12, -16, -15, 4, 4],\n [-11, -9, -18, 8, 8, 3, 3, 4, 16, -16]]\nB =\n[[-10, 19, 1, -6, -12, -15, 5, -15, 11],\n [-1, 14, -18, -3, 14, -11, 15, 9, 5],\n [9, 10, -17, 3, -20, 5, 8, 17, 15],\n [-12, 11, 16, 19, -3, 3, 19, -3, 18],\n [-13, 18, -10, 14, 3, -8, 10, 9, 8],\n [-15, -18, 7, -11, 13, -20, -9, 15, 11],\n [-10, -20, -15, 6, -6, -11, 3, -13, -4],\n [3, -8, -12, -15, 8, 2, 1, 0, -4],\n [13, 5, 4, 17, -18, -18, -7, -11, -19],\n [-14, -7, -4, -11, 14, 6, -18, 4, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-8, 18, 4, 8, -2, 18, 1, -19, 1, 14],\n [13, -16, 6, -3, -18, 0, 3, 5, -1, -8],\n [-15, 5, 9, -7, 16, 17, 9, -6, -2, -10],\n [-1, 4, 17, 9, 19, 2, -4, -20, -7, 18],\n [-3, 20, -5, -11, -12, -7, -19, 0, -19, -15],\n [-10, 20, -18, -10, -17, -6, 5, 15, -6, 1],\n [16, -11, -1, 11, -12, 10, 19, 10, 7, -10],\n [15, 20, -17, -7, 8, 7, 4, 2, 12, 9],\n [-12, 17, 4, -3, -14, 3, 19, 0, 14, -10],\n [-19, -6, -6, -16, 19, -5, 0, -12, -14, 6]]\nB =\n[[-4, -19, 19, 5, -13, 19, -5, -1, 11, 11],\n [14, -6, 11, 9, -2, 3, -19, 0, -5, 19],\n [18, 15, 20, -19, -5, 8, -14, -6, 2, -16],\n [-20, -16, -8, 5, -8, 11, 8, -3, -19, 6],\n [-18, 9, -11, -12, -18, 1, 17, -10, -15, -16],\n [9, -7, -19, 12, 16, -13, -11, 0, -2, 14],\n [-3, -14, -8, -9, 19, 3, -3, 17, -9, -18],\n [4, 14, -5, -8, 3, -9, -19, 5, -11, -2],\n [1, 3, 5, -16, -5, 16, 13, 17, 7, -9],\n [0, 11, 4, -7, 14, -12, 9, 8, 18, 10]]\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[[-7, -4, 4, 16, 6, -3, 8, -3, -17, -1],\n [-20, 3, 3, -16, 5, -3, 15, -20, -11, -4],\n [14, -17, 6, -10, -18, 7, -10, -18, 15, -18],\n [4, -9, -9, 11, 19, -11, -2, -14, 3, 18],\n [11, 2, -2, -18, 4, 4, -15, 12, 12, -6],\n [-1, 11, 3, -18, -17, -15, -2, 5, 4, 4],\n [-11, 17, -1, -16, 14, -16, 14, -18, 20, 11],\n [15, 9, 18, 8, 5, 4, -9, -3, 5, -6],\n [-16, 12, 20, -12, 11, -8, 7, 2, 3, 20]]\nB =\n[[10, -16, -19, 9, -16, -11, 15, 15, -14, 8],\n [11, 6, -20, -1, 13, 15, 5, 2, 12, -20],\n [-18, 14, 14, -8, 12, -8, 1, -16, -4, -11],\n [6, -6, -12, -14, -11, 20, -8, -5, 13, -13],\n [10, 7, -14, 13, 12, -17, 17, 5, -19, 11],\n [18, 20, -19, 5, 6, -6, 0, 6, 13, -10],\n [2, 1, 2, -20, -9, 4, -15, 13, 7, 4],\n [-3, -20, 11, 8, -1, -8, -9, -13, 18, -13],\n [-3, 0, 7, 10, -6, 18, 12, 17, 2, -5],\n [3, 0, -13, -4, -6, -7, -1, 11, -10, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26285", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, -17, 8, -16, -9, 18, 2, 12, -5],\n [-10, -13, 12, 13, 0, 17, -4, 13, 20],\n [-18, 3, 1, -11, -16, 20, 10, 3, -10],\n [-7, -17, -13, -14, 14, 11, 1, 1, 5],\n [15, 8, -17, 10, 1, -13, 0, -6, -17],\n [-16, 15, -19, -13, -17, -8, -7, -12, 7],\n [17, -9, 7, -8, 0, 17, 5, 4, 1],\n [-13, 16, 19, 1, -8, 16, -7, -3, 12],\n [-14, -11, 9, 13, -18, 19, -9, 15, 10]]\nB =\n[[2, -13, -20, 14, -6, 7, -9, -20, -10, 16],\n [-19, 14, -13, 10, 0, -18, 4, 20, 7, 7],\n [-19, -13, -20, 0, -6, -13, 19, 1, 18, -1],\n [-8, 5, 18, -14, -10, 10, 13, -10, 3, 4],\n [12, 8, 0, 12, -15, 16, -19, 9, 7, 11],\n [6, 18, 1, -6, 17, 16, 15, 17, -14, 10],\n [9, -7, 13, 6, 2, -18, -16, 9, -14, 20],\n [-3, 17, -11, 13, 12, 11, 10, 7, -17, -6],\n [-19, 2, 2, 14, 6, 5, 13, -8, 19, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7523", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[18, 5, -17, -3, 14, -4, 6, -13, -8],\n [1, 15, 9, 14, -17, -8, -15, -3, -13],\n [20, -1, 0, 11, 11, -19, -19, 20, 11],\n [1, 5, 20, -11, 18, -16, -9, 20, 20],\n [11, 19, -3, -11, 2, -20, 16, -3, 9],\n [-2, 17, -4, 7, 1, 17, 11, 4, -12],\n [15, 16, -20, 8, -6, 8, 0, -9, 5],\n [10, 14, -7, -14, -18, 20, -17, -19, 14],\n [12, 16, 20, -8, -14, 18, 6, -18, -4],\n [4, 9, -7, 8, -16, -14, -2, 12, 0]]\nB =\n[[0, -4, 2, 6, 10, -6, 19, 19, -20, -1],\n [20, 13, -20, 11, 1, 8, -10, 12, 17, -20],\n [17, -12, -8, 3, 15, -1, -20, 14, -1, 19],\n [-20, -15, 20, 5, 8, 20, -6, 16, -2, -12],\n [20, -4, 11, 7, -6, 7, -12, 6, -2, -14],\n [4, 9, -8, -19, -3, 19, -13, -1, -12, -8],\n [0, 7, -14, 10, 2, -8, 15, -19, 13, -16],\n [-19, 13, -19, -1, -13, 2, 16, -5, 1, -13],\n [5, 19, 2, -5, 0, 19, 8, -1, -9, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32519", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -18, -3, -20, -2, -8, 12, 9, 1],\n [6, -8, -13, -19, -2, 3, -16, -13, -1],\n [14, -19, -15, -5, 15, -19, -7, 17, 5],\n [-1, 8, -17, -1, 3, -20, 4, -7, 14],\n [0, 15, 2, -1, 5, 6, 20, -7, 15],\n [-17, 5, 19, -5, 18, -1, 3, -11, -19],\n [-12, -3, 9, -18, 8, -14, 4, 3, -15],\n [-6, -6, 19, 6, 0, 11, 11, -9, -12],\n [-1, -6, -8, -13, 0, 4, 14, 19, 9]]\nB =\n[[10, -15, -10, -13, -13, 18, -9, -18, -5],\n [20, 6, -5, -16, 19, -9, -18, 14, -18],\n [10, 3, 20, 8, 12, 17, -5, 12, -11],\n [9, 13, 14, -14, -15, -6, 11, -19, 11],\n [7, 0, -4, -2, -7, 13, -1, 0, -18],\n [-7, 0, 6, -14, 8, -12, 19, -6, 7],\n [17, -6, -6, 9, 11, 19, -9, -1, 6],\n [-19, 20, 1, 5, 19, -13, 15, 5, 16],\n [-4, -14, -20, 6, 5, 11, -7, -2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27330", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 3) of the result:\nA =\n[[-20, 0, -1, 12, 12, -3, 20, -4, -8, -12],\n [-20, 2, 19, 13, 15, -7, 0, 0, 7, 11],\n [9, 19, -9, 8, -20, 5, -5, -3, 12, 2],\n [-16, 0, -20, 10, -3, 0, -14, -20, 2, 6],\n [-19, 13, -5, 19, -11, -1, 16, 4, -17, 11],\n [7, 19, -8, -16, -4, -14, -11, 6, 14, 2],\n [-5, 6, -6, -15, 18, 3, 2, -16, -14, 1],\n [8, 10, 14, 13, -2, 13, 9, -2, -3, -20],\n [20, -5, 19, 7, -10, 11, 5, -11, 2, 18]]\nB =\n[[12, -7, -12, -7, 15, 20, -19, -10, -7, 15],\n [14, 4, 12, -12, -8, -11, 12, -12, 19, -8],\n [3, 19, -4, 12, 2, 6, 5, 3, -10, 8],\n [-16, 3, -12, -11, -10, 10, -18, 4, 19, 6],\n [-20, -5, 14, -6, 13, -10, -12, 3, 16, 14],\n [1, 19, 17, -14, 9, 8, 18, 20, -12, -20],\n [-18, -16, -10, -17, 12, 12, -1, 16, -1, 13],\n [0, -14, -5, 11, 15, -10, 8, 13, -11, -18],\n [1, 11, -1, -19, -13, 20, 4, -10, 3, 5],\n [14, 19, -16, -6, -7, 16, -3, -9, -18, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "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, -17, 19, 5, 0, -5, 2, 3, -12, -2],\n [6, 19, 10, -20, -8, -17, 4, -11, 2, 9],\n [-7, 11, 9, -16, -6, -4, 12, -9, 4, -2],\n [2, 18, -16, 19, 0, 15, -7, -15, -2, -17],\n [3, 5, -2, 11, 14, 19, -19, 12, -11, 12],\n [2, 13, 15, 9, 18, -16, 0, -5, -14, -12],\n [20, 3, 5, 11, 6, 20, -2, -13, 16, -15],\n [-2, 2, -19, -18, -19, -8, 11, 4, -8, 9],\n [-2, 3, 12, -8, 10, 17, -13, 9, -2, 11]]\nB =\n[[9, 17, -4, 13, -5, 16, -15, -19, -16, -2],\n [-20, 17, 4, -5, 9, 9, -11, 19, 3, 0],\n [18, -6, -16, 15, 1, -13, 10, -20, -1, 7],\n [10, 3, -14, -19, -12, -2, 20, 4, 2, -11],\n [2, 12, -2, 13, 16, -18, -14, -20, 15, -20],\n [20, 9, 11, -2, -11, 12, -17, -1, -6, 20],\n [9, -14, 17, 20, -3, 9, -13, 0, -14, -16],\n [11, -5, 19, 5, 6, 18, 7, 12, -19, 20],\n [-6, 18, -14, -1, -8, 11, 8, -17, -2, -11],\n [15, -9, 1, 6, 14, 19, -4, -15, -7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33416", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 8) of the product of the following matrices:\nA =\n[[7, 17, -14, -10, 12, -18, 1, -8, 8],\n [-15, 18, 7, -6, 3, 5, -20, 5, 10],\n [2, 11, -20, -3, -4, 7, -20, 15, -16],\n [-16, -19, -10, 14, 9, 11, -13, -19, 15],\n [18, 4, -2, -14, 19, -7, -17, 12, 16],\n [9, -1, -7, 6, -8, -14, -3, 17, 18],\n [-12, 2, 10, -19, 19, 17, 20, 18, -16],\n [2, 11, 18, -5, -10, -7, -18, -13, -6],\n [-12, -5, 5, 11, -3, -13, 18, 11, -11],\n [-9, -9, -11, 13, 9, 10, 17, 4, 3]]\nB =\n[[12, -12, 4, -1, -4, -15, 15, 20, -1, 5],\n [19, -9, -14, 19, 9, 1, 8, 1, 3, -18],\n [20, 3, 5, -16, -8, 16, 1, 13, 18, -18],\n [11, 3, -12, -18, 1, 3, 17, -11, 14, -1],\n [20, -9, -9, -4, -17, -13, -14, -3, 5, 10],\n [-13, 13, -5, -1, -11, -16, -10, 17, 18, 1],\n [-10, -3, -3, 10, -1, 2, 19, -11, -4, 20],\n [-13, 10, 19, 5, -12, 11, 2, 11, 15, -16],\n [-20, 10, 10, -12, 12, 14, 5, -19, 13, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-814", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 7) when matrix A is multiplied by matrix B?\nA =\n[[-15, 16, 10, 7, 0, -10, 20, 15, 18],\n [6, -1, -1, -19, 16, 6, -3, -8, -3],\n [-10, -7, -17, 18, -8, -2, 18, 4, -6],\n [-1, -4, -20, 8, -2, 9, 4, 7, 16],\n [-10, -5, -3, 20, -12, 7, 6, 17, 2],\n [1, -17, 11, 3, 17, 7, -15, 12, 10],\n [-11, -9, -14, 3, 7, -10, 11, -1, 7],\n [-20, 6, -5, 15, -15, -11, 18, -2, -11],\n [5, 13, 20, -20, -11, 12, 5, 13, 16],\n [-8, 17, 9, 3, 13, 16, -2, -19, 9]]\nB =\n[[1, 11, 12, 19, -6, -15, 15, -5, 0],\n [13, 19, 17, 14, 12, -13, -9, 18, -3],\n [19, 0, 6, -9, -15, 10, 13, -14, 10],\n [-17, -4, 8, -18, 3, -18, 18, 6, -20],\n [-6, -7, -17, -17, 4, -10, 12, -10, -9],\n [-6, 5, 3, 5, 6, 15, 6, 17, -19],\n [2, -12, -13, 19, -20, 0, 5, -6, 4],\n [18, -5, 14, 2, -9, -2, 13, -13, 2],\n [-10, 13, -16, 16, 4, 3, 3, 13, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 10) of the product of the following matrices:\nA =\n[[-9, 18, -6, -9, 8, 8, -1, -6, -18, -5],\n [-2, -14, 15, 1, -6, -12, -4, 12, -19, -14],\n [10, -7, 16, -17, -11, 1, 3, -3, -10, -20],\n [11, -5, -7, 12, -14, -2, 4, -16, -11, -17],\n [3, -15, -9, -1, 5, -9, 12, -9, 17, -17],\n [-4, -11, -2, 12, 16, 7, -19, 17, 17, 0],\n [2, 12, 5, 9, -17, -15, 13, -1, 16, -6],\n [19, 2, -12, 13, 13, 6, -5, -17, 7, -4],\n [20, -9, -16, 14, 17, 18, 15, 9, -7, -7],\n [-19, 7, 0, -6, 2, -11, 5, 14, 13, -19]]\nB =\n[[10, -16, -2, 9, -4, 8, -9, -13, -6, 13],\n [7, 0, -4, -3, 3, 3, -9, -20, 15, 11],\n [-16, 5, -18, 12, 18, -1, -9, 17, -1, -4],\n [-13, -8, -12, -2, 5, -16, 4, -16, 2, 14],\n [11, -15, -7, 20, 8, 16, 1, -1, -13, 6],\n [-14, 13, 20, 7, 10, 0, -11, 15, -8, 5],\n [13, -2, -15, -6, -3, -1, -20, 1, 15, -3],\n [-11, -1, 19, -15, 16, 1, -17, -17, -2, 8],\n [7, 20, -8, 18, 7, 9, 1, 2, -3, -4],\n [10, 7, -13, 11, -15, -13, 1, 19, 10, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-17, -14, 13, 6, -19, -7, 20, 8, 18, 1],\n [-16, -3, -5, -15, -20, -9, 3, -10, 20, 13],\n [8, 11, 0, 19, 12, 12, 7, 15, -20, -9],\n [12, -16, -19, 15, 3, 0, 9, -6, -12, 11],\n [-13, 2, 6, -13, 8, -10, 0, 18, 9, 12],\n [-18, -8, 15, 2, 5, -11, 17, 15, 2, -13],\n [-7, 3, -3, 19, 16, 4, -1, 4, -4, -17],\n [0, -1, 20, -4, 14, 20, 2, 0, 0, 3],\n [16, -3, -2, -16, 6, -15, -7, -18, -20, 10],\n [-11, 10, -4, 18, 19, -5, 6, -5, 20, -17]]\nB =\n[[6, -12, 4, 3, 7, -3, 5, -11, 13],\n [17, -10, -7, 17, -20, -4, -4, -11, 9],\n [12, -19, -1, 11, -18, 15, -16, -1, -18],\n [-18, 15, -15, 18, 15, 3, 17, 16, -13],\n [17, -5, -20, -7, -11, -11, 1, 19, 20],\n [10, -17, 2, 20, -9, -13, 3, -20, 5],\n [1, 4, 10, 13, 16, -10, -17, -13, 14],\n [4, 10, 2, 19, 17, -17, 15, -14, -11],\n [-15, 10, -17, 0, -1, -4, -15, -10, -3],\n [-12, -9, 10, 10, 13, -5, 20, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35421", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 10) of the product of the following matrices:\nA =\n[[15, -8, -19, -6, -8, 13, 5, -15, 0, 12],\n [-6, 14, 7, -15, 16, 19, -15, -10, -7, 0],\n [-1, -16, -12, 9, 17, 6, -16, -16, 19, -6],\n [-12, 4, -13, -7, 18, 11, 10, 2, -20, 10],\n [-14, -6, -15, -5, -7, -4, -11, 8, -13, -10],\n [-3, -1, -5, 6, 2, -7, -9, 6, -8, -5],\n [12, 3, -9, -12, -8, -13, -3, 6, 20, 12],\n [-14, -8, -6, 13, 19, -1, 16, 20, -4, 8],\n [0, -7, 8, 20, 1, 12, -8, 10, -9, 11]]\nB =\n[[-15, -10, 2, -14, -1, -17, 0, 9, 4, 10],\n [-19, -1, 20, -7, 17, 2, -16, -2, -14, 0],\n [12, -1, -12, 10, -13, -10, -14, 0, 7, -6],\n [-13, -9, -16, -13, 16, -7, -17, 6, -6, -1],\n [1, 15, 9, 12, 7, 17, 19, -17, -7, -19],\n [16, -2, -7, -14, -12, 12, 3, 0, -20, 0],\n [19, 3, 17, 20, -17, -15, -18, 13, 4, 6],\n [-3, -16, 3, 11, 0, 13, 8, -16, 7, -15],\n [-10, 18, -13, 14, -10, -1, 1, 20, -9, -16],\n [13, 13, 9, 2, 15, 4, -15, 8, 0, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-730", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[16, 20, -12, 15, -20, 10, -1, 7, -2, -20],\n [8, -11, 15, 2, -3, 8, 7, -14, 10, 17],\n [20, -19, -6, 1, -10, -2, -15, -12, 8, -18],\n [-8, -6, -16, -16, -19, 17, 9, 7, 18, 11],\n [-1, -1, 8, 14, 11, -4, -13, 0, 2, 6],\n [-15, -13, 14, -16, 12, -20, 3, 11, 12, 17],\n [-19, -4, -11, 16, 16, -19, -9, 16, 9, -6],\n [2, -3, 10, 17, 8, -7, 19, 2, 4, 20],\n [17, 7, 14, 9, 6, -13, -2, -20, -1, 9],\n [8, -13, -7, 17, -18, -18, -7, 0, 14, 20]]\nB =\n[[6, 7, 7, -16, 18, -11, -12, -1, 8, 8],\n [7, -10, 0, 14, 2, 8, -6, -4, 3, 14],\n [-1, 15, -10, 9, 18, -1, 1, 3, -7, 15],\n [-8, -20, 6, -8, 14, -13, -3, 13, -15, 6],\n [-3, -12, -6, 2, -18, -12, 1, 2, -1, -14],\n [-4, -18, -14, -8, 20, 20, 2, 16, -17, -12],\n [-15, -3, 14, 2, 10, -1, -14, -9, 16, -17],\n [-9, -6, -19, -10, 12, -7, 6, -17, 17, 19],\n [-1, -19, -17, 3, -12, -2, -13, 20, 7, -8],\n [-13, -7, -11, -1, -20, -9, 14, -1, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32636", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[18, 8, -18, -14, 2, -8, -10, 4, -1],\n [6, -15, -15, 18, 20, -12, 0, -3, -20],\n [-9, -20, 7, 3, -2, -7, -7, 5, -5],\n [3, 11, -15, 9, 2, -2, 4, 4, -19],\n [-11, 20, 6, -13, 20, 12, -2, 9, 13],\n [-7, 15, -1, 2, -6, -19, 3, 3, 10],\n [-5, -17, 13, -6, -2, -2, 14, -1, 18],\n [20, 8, -6, -1, 11, -8, -14, -5, -11],\n [-19, 17, -3, 13, 0, 0, -20, -6, -11]]\nB =\n[[14, 4, 11, 10, -11, -18, 1, 17, -19],\n [2, 20, 19, 3, 11, 12, 6, -8, 16],\n [18, 8, 20, 4, -2, -20, 14, -5, -13],\n [-14, 0, -10, 5, -6, -15, 16, -17, -2],\n [0, 16, -3, 15, 16, -6, 17, -19, 10],\n [-15, -2, 17, -6, 12, 19, 5, 9, -10],\n [-20, -7, -11, -4, -10, -6, -9, -18, 1],\n [5, 18, 2, -5, -18, 9, -8, -13, 3],\n [-16, -14, 6, -9, 20, 4, 12, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4082", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 15, -15, 5, -13, 18, 16, 16, 9, 17],\n [-5, -6, 17, -13, 14, -12, 0, 20, -16, -2],\n [-5, -3, -9, -5, -16, -18, -14, 11, 10, -7],\n [3, 12, -16, -13, -19, 18, 17, 14, 17, 13],\n [9, 2, -17, 14, -7, 1, 9, -18, -10, -11],\n [-18, 20, -16, -6, -15, -17, 2, -20, 13, -6],\n [-17, 6, -8, 19, 11, -12, 16, 4, -18, 18],\n [19, -5, -4, 6, -11, -20, 8, -3, 11, 16],\n [12, 1, -10, 16, 8, -1, 1, 11, -13, 1]]\nB =\n[[-6, 14, -5, 8, 13, -1, -8, -8, 10, 0],\n [9, 4, 9, -11, -14, 13, -17, 1, 8, -17],\n [-20, 2, 2, -15, -16, 2, 17, -14, -16, 12],\n [5, 0, 13, 5, -11, -19, -1, -7, -14, -11],\n [10, -13, -20, 8, 10, -13, -5, -2, 5, -11],\n [-3, -19, 16, 8, -19, -18, 3, -12, -7, -10],\n [3, -7, -3, 15, -8, 13, -2, 20, -10, 5],\n [-16, 0, -12, -9, -20, -7, 5, -14, -5, -6],\n [-17, 9, 2, 1, -6, -4, -19, -13, -15, 18],\n [7, -16, 0, -1, 13, -14, 9, 9, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4576", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-12, 6, -19, 15, 6, 19, 4, 15, 19],\n [-14, -8, 16, -1, 1, -3, -10, -15, -17],\n [-18, -15, -6, -18, -4, 9, 1, -19, -5],\n [1, -10, 15, -9, 19, 14, 20, -6, 0],\n [-17, -14, 8, 20, -15, 18, -4, 15, -19],\n [-4, 8, 6, -14, -10, 5, 18, 11, 2],\n [19, -14, -20, 4, 10, -15, 7, 10, 15],\n [-5, -6, 1, -3, -13, -11, 16, 18, -15],\n [-11, 18, -14, 14, 7, 4, 7, -12, -16],\n [-5, 8, 2, -3, 5, -16, -13, 19, -2]]\nB =\n[[16, 7, -17, -1, 1, -9, -20, -13, 20, 6],\n [0, 12, 17, 12, 16, -16, -6, 9, -18, 7],\n [9, 15, -18, 10, -7, -15, -2, -16, 5, -3],\n [16, 15, 10, -3, -12, 5, -19, 11, -15, -1],\n [-13, -17, 4, 10, -2, -14, 16, 9, 6, -4],\n [11, -2, 4, 8, 4, 11, 16, -10, -17, 10],\n [15, -17, -19, 18, 12, 6, 5, -2, 20, 18],\n [12, 17, -11, -20, 14, -10, -7, -15, 18, 19],\n [4, 2, -16, 5, -3, 11, 0, 5, 14, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-948", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 10, -6, 19, -13, -11, -11, 17, -3, 7],\n [7, -1, 3, -15, 20, 11, -15, -10, 9, -18],\n [-13, 12, -2, -11, -2, -12, -14, -7, -19, 1],\n [-1, 5, -17, 18, 19, 2, -5, 4, -12, -10],\n [4, 10, 6, 15, -7, 2, -5, -1, -18, -15],\n [8, -17, -20, -13, -1, -5, 10, 11, 13, 8],\n [-9, -17, 13, -15, -12, -16, -5, -20, -1, 14],\n [-11, 4, 7, 14, 12, -6, 0, 14, 16, -11],\n [-5, -1, -13, 10, -13, -8, 3, -9, -4, 20]]\nB =\n[[15, -9, 15, -8, 14, -16, -8, -13, -10, -13],\n [10, -9, -10, -4, 6, -8, 15, -8, 20, 1],\n [3, 9, -8, -13, -16, -15, -14, 1, 9, -6],\n [16, 20, -1, 10, -16, -9, 16, 9, 18, -18],\n [-8, -10, -11, 9, -12, 9, 8, 17, 13, 5],\n [-19, 15, -14, 15, 19, -7, 6, 5, -1, 14],\n [-10, 5, 14, -16, -5, -10, 12, -12, 1, -16],\n [-1, 13, 9, -11, 16, 11, 3, -4, -18, 18],\n [5, -9, 16, -9, 12, 6, -7, -14, 17, 6],\n [-11, 20, -12, 13, 20, 8, -3, 8, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2480", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -5, 11, 19, 5, 10, -2, 13, -15, 14],\n [-10, 16, 1, -8, -5, 5, 1, -8, 2, 11],\n [2, 11, 17, 7, 12, 19, 5, 9, -4, 8],\n [-19, 17, 13, 17, -9, 0, 6, 19, -18, 16],\n [5, -16, -1, 20, -13, 7, 8, 20, -19, -19],\n [17, 17, 2, -11, 7, -2, 7, 10, -19, 8],\n [-7, 7, -20, -5, 16, 0, -7, -4, -6, 10],\n [15, -7, 15, 6, -18, 15, -15, 6, 1, 1],\n [15, 11, 6, -14, 18, -9, -5, 17, -16, 14],\n [-12, 8, 6, 11, -11, 4, 17, 4, -17, 20]]\nB =\n[[2, -11, -15, -8, 10, -16, -17, -18, 9, 2],\n [16, -3, 14, -16, 20, 7, 17, -3, -13, -9],\n [9, 1, -15, 9, -13, 8, 10, -16, -10, -4],\n [-8, -1, 10, 5, 7, 4, -3, 11, 8, -18],\n [14, 17, -6, -18, 0, -18, 14, -13, -18, -10],\n [-19, 12, -13, -9, -2, -3, 0, 1, 9, -3],\n [-15, -20, -12, -5, 8, 8, -16, -2, 1, -13],\n [-3, -7, -17, 19, 6, 3, 9, -9, -8, 19],\n [-17, 5, -20, 6, 2, 17, -10, 18, 0, 1],\n [7, 17, -15, 4, -17, 13, 5, 18, 6, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3985", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[0, 0, 8, 13, 6, 5, -16, -1, -13],\n [-3, -16, -17, -16, -5, -12, 4, 17, -13],\n [-20, 10, 12, -16, -3, 15, -1, 3, -2],\n [7, 9, 18, -6, -12, 18, 10, -20, -8],\n [15, -19, 16, 14, 16, -10, -3, -1, -19],\n [3, -5, 2, 17, 8, 9, -17, 8, 20],\n [6, 12, -3, -15, 11, 10, -9, 2, 8],\n [-18, 12, 18, 7, -3, 1, -1, -5, -14],\n [-17, 17, 13, 15, -3, 12, -20, 4, -7]]\nB =\n[[-10, -13, -5, 18, 16, 10, -3, -14, -17],\n [11, 10, -11, 9, 14, 10, 10, 12, -16],\n [-11, 2, -14, 7, 0, 10, 20, 6, 8],\n [-11, -13, -12, -10, 1, 19, 5, 16, 19],\n [-19, -2, -5, -17, 17, -14, -7, -9, 0],\n [13, 0, 15, 19, -14, 0, -11, 0, -5],\n [4, -8, 6, 16, -13, 9, 10, -14, 9],\n [-3, 2, 17, 20, 9, 9, -13, -9, -11],\n [-14, 18, -4, 11, -16, 0, 10, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "621", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-14, 3, -17, 20, -2, 14, 8, 15, 13, -13],\n [-19, -17, -19, 9, 8, -17, 0, -12, -19, -1],\n [12, -15, 8, -5, 15, -16, 16, -12, 11, 16],\n [13, 18, 19, 8, 10, -18, 4, 15, -8, 18],\n [-2, -5, 9, 18, 14, -19, -20, -18, 5, 7],\n [6, -7, 3, 14, 13, 3, -15, 10, 8, 15],\n [8, -8, -13, -6, 12, 4, -5, 0, 16, -4],\n [13, -8, 13, -6, 20, 1, -17, 18, 2, -8],\n [-13, -20, 20, -4, -4, -13, -18, 8, 1, -19],\n [-19, -4, -12, 12, 8, 8, -15, -15, 16, -20]]\nB =\n[[-5, -10, 1, 13, -20, -8, 7, -8, 17],\n [9, 15, -17, -7, 15, 2, -16, -6, 2],\n [-13, -10, -14, 2, 20, 6, 10, 19, -19],\n [10, -13, -20, 4, -4, 9, 3, 10, -8],\n [-6, 5, 11, 14, -5, -12, -2, 19, 19],\n [-18, 5, 16, -13, -15, -16, 0, 6, 17],\n [-13, 1, 2, 4, -14, -7, 20, 8, -4],\n [-15, 11, -2, 6, 9, 12, 16, -10, 20],\n [-11, 8, 1, -1, -2, 3, 7, -19, 19],\n [-3, -3, -19, 2, -6, 4, -3, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5838", "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, -3, 3, 9, 8, 0, 0, 20, -19],\n [-20, 1, 19, 17, -2, -2, -19, 8, 2],\n [6, 2, 7, 7, -16, -3, 9, 3, 16],\n [-5, 8, 9, 4, 17, 18, -20, 19, 18],\n [18, 10, 18, 10, 12, -9, 4, 2, 7],\n [12, 17, 5, 3, -16, -4, 16, -6, -19],\n [13, -1, 9, -5, -17, 10, 5, 20, -9],\n [-19, -13, -7, 3, 19, 20, 4, -14, 11],\n [2, 18, 5, -14, -17, 4, -3, -14, 1],\n [-17, 8, 3, 19, 17, 20, -9, -12, -6]]\nB =\n[[-8, 9, 14, 14, 5, -2, 0, 0, -8],\n [0, 3, 5, 10, 9, 3, 11, 9, 5],\n [17, -3, 20, -9, 0, 2, 7, -4, -6],\n [2, 13, 7, -17, 20, -9, -19, 4, 3],\n [10, -17, 13, -15, 10, 18, 3, 4, -16],\n [-11, -3, 8, -10, 9, -16, -15, -7, -5],\n [-7, 12, 16, -16, 19, -7, 19, -12, 6],\n [-18, -11, -10, 13, -20, -11, -15, -13, 10],\n [-15, 10, 13, 19, 8, -18, 1, -9, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 8) of the result:\nA =\n[[-2, -14, 2, -8, -17, 0, -7, 15, -14, -8],\n [14, 12, -10, 18, 4, 18, 3, 1, 1, -6],\n [-3, 11, 15, -11, -12, 4, -17, 17, 15, 16],\n [18, -14, 5, -1, 0, -16, 9, 17, 15, 17],\n [2, 2, -15, 2, -6, -20, 15, 18, 7, -11],\n [12, 3, -15, -7, 11, -2, -15, -1, 4, -1],\n [17, -10, 11, 8, 9, 8, 1, -10, -1, 20],\n [-7, 6, 17, -17, -14, 9, -11, -14, -16, -17],\n [15, -6, 18, 17, 15, -19, -6, -1, 13, -8],\n [4, -7, 20, -12, 14, 1, -16, 16, -7, -4]]\nB =\n[[-16, -8, 10, -11, 2, 8, -5, -4, -14],\n [-7, -12, -14, -7, -5, -11, -16, -14, 1],\n [3, 19, 1, 14, -18, -14, -2, -13, 2],\n [-1, 12, -15, -6, -16, -7, -12, 5, 11],\n [10, -15, -20, -2, -6, 13, -2, -10, -3],\n [3, -12, -10, -17, -3, 2, 20, 16, -20],\n [4, -12, 18, -20, -4, -18, 2, -20, 3],\n [-8, -1, -1, -9, -4, 0, 19, 3, 9],\n [2, 2, -4, -19, 3, 12, -6, 11, 13],\n [1, 10, -6, -1, 2, 10, -19, -8, 11]]\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[[-5, -6, 4, -9, 7, 20, -9, 0, -9, -5],\n [-11, -11, -19, 6, 9, 12, -5, -11, -6, 5],\n [-6, -15, -4, -20, 2, 13, 14, 4, -20, 4],\n [17, -5, 20, -9, -11, 6, 18, -14, -15, -10],\n [3, 19, 4, 16, -18, -17, -17, 20, -20, 9],\n [-6, 10, 16, -16, 0, 14, -17, -14, 8, 15],\n [14, 11, -10, 12, 20, -4, -9, -20, 2, -14],\n [-7, 20, 19, -14, -7, 13, -19, -1, -4, -11],\n [-16, 12, 16, 15, -10, 0, -17, 4, 20, 14],\n [14, 14, 18, 12, -8, -17, 19, 17, 9, 6]]\nB =\n[[14, 7, 20, -13, 5, 13, 8, -19, -15],\n [-5, -14, -10, -5, -15, 16, -12, -18, 8],\n [-13, 19, -4, 17, -15, -10, -11, -19, 8],\n [-15, -12, -19, -17, 20, 19, 9, -17, -20],\n [-10, -14, -3, -13, 9, -6, -11, -19, -6],\n [1, 13, -18, -17, 4, -16, -9, 3, -2],\n [11, -9, 16, 6, -3, 4, 2, -18, -19],\n [-10, 16, 9, -8, 19, -15, -9, 18, -13],\n [-12, -17, 16, 15, 11, -9, -3, 10, 19],\n [18, 8, 19, 8, 6, -10, 12, 18, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4402", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 7, 1, 11, 0, 16, 6, 17, 5, 2],\n [13, -9, -10, 15, 11, 18, 16, -5, 10, 20],\n [-15, -8, 15, -10, -10, -1, 8, -2, 9, -15],\n [-4, -3, 15, -3, -9, -18, -3, -5, 18, 7],\n [-12, -1, -3, 4, 0, 5, 2, -11, -8, 16],\n [-9, 15, -18, -7, 14, 13, 19, 8, 9, -14],\n [-19, -3, 5, -4, -9, 11, 8, -11, 15, -19],\n [16, -7, -11, 19, -20, 20, 0, -16, -12, -12],\n [-3, -16, -5, 13, -17, 0, 16, 19, -7, 6],\n [-9, 6, 13, -17, -19, 11, -19, 1, -2, 5]]\nB =\n[[-1, 15, -3, -7, -1, 3, 10, 15, -6, -14],\n [2, 8, 20, -17, 10, -3, 10, 15, -3, -11],\n [-14, 17, 7, -3, 10, -12, -5, 19, 4, 16],\n [9, -19, -16, 9, -2, -7, 6, 9, -7, 10],\n [15, 18, 9, 17, -10, -4, -11, -5, -10, 18],\n [7, 0, 7, 2, -20, -8, -13, -2, 3, 19],\n [16, 4, 5, 6, 11, -18, 20, -12, -20, -3],\n [-18, -7, 11, -17, 16, 0, 6, -16, -18, 1],\n [-1, 20, -19, -20, 2, 4, 5, -18, 10, 6],\n [-8, 12, 4, -5, 17, 5, -3, -4, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32384", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -20, -14, 9, 12, 4, 4, 6, 14, -3],\n [9, -7, 14, 13, -1, -6, -14, -8, 15, 19],\n [13, -8, -17, -8, -8, 2, 8, 12, 2, -18],\n [11, -18, -9, -17, 12, 11, -4, -12, -16, 0],\n [-18, 18, -18, 16, 14, 12, -18, -3, -18, 8],\n [16, -16, -12, -9, -5, 6, -12, 1, -4, -20],\n [-18, -16, 1, -20, -17, 1, 3, 11, -19, 15],\n [-16, -14, 15, 19, -13, 15, -9, 7, -19, -7],\n [-2, 0, 9, 16, 0, 7, 12, -14, -5, 16],\n [4, 17, 17, 9, -4, -5, -17, 9, -1, 14]]\nB =\n[[-16, -7, 20, 20, 19, 7, -11, 9, 11, -9],\n [-5, 5, 14, 20, -5, -4, 2, 1, 0, 13],\n [-16, 17, 10, 12, -18, -2, -3, 7, -6, 12],\n [7, -13, 19, 9, -20, -14, -7, 0, -15, -4],\n [-7, -14, -6, -13, -11, 8, 20, -2, -19, -13],\n [9, 15, -3, -19, -16, -8, 19, -10, -13, 17],\n [-4, -10, 5, 18, 13, -18, 4, 3, 2, 9],\n [20, 19, 6, -11, -12, -19, 0, -10, -11, 4],\n [19, -16, 1, -16, -12, -10, -16, -15, 12, -5],\n [3, -7, 3, -9, 2, 18, -15, 20, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2025", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[20, 15, 20, 19, -16, 10, 14, 20, -18, -2],\n [-2, -20, 1, -2, 5, -6, -2, 4, 18, 10],\n [9, 12, -5, 19, -9, 7, 9, -15, -7, -16],\n [15, 2, 11, 10, -7, 11, 6, -20, -12, -5],\n [14, -11, -5, 9, 12, -6, 18, -13, -17, -19],\n [-14, 17, 13, 4, -14, 4, -19, 5, 15, 17],\n [-18, 8, -10, 0, -17, -16, -15, 1, 18, -15],\n [-7, 1, -5, 11, 15, -14, 2, -7, -15, 4],\n [-18, -8, -18, 10, -18, -4, 18, -19, -16, -12],\n [8, 14, 19, 15, 14, 9, -6, 8, 4, -10]]\nB =\n[[16, -17, -9, 11, -16, 16, 16, 4, -17],\n [3, 15, -19, 14, 15, -13, -12, 7, 19],\n [-11, -16, 16, 10, 8, -18, 5, 10, -19],\n [-6, -8, 7, -7, -9, -6, 0, 8, 14],\n [-1, -3, 17, -6, -9, 13, -16, -4, -8],\n [-8, 15, -5, 19, -18, -19, 4, -18, -10],\n [-10, -11, 7, -10, -14, 8, -20, -6, -14],\n [-17, -18, -1, -18, 8, -1, -11, 14, 5],\n [9, 5, 16, -1, -12, -10, 12, 9, 9],\n [2, 15, 3, 10, 2, 15, 19, 13, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1023", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -14, 4, -18, -3, -15, -8, -19, 19],\n [-8, -20, -19, -17, -8, 9, -9, 12, 17],\n [13, -18, -12, -14, -17, 7, 11, -20, -8],\n [15, 5, -8, 1, 3, -10, 4, -6, 15],\n [17, 13, 13, 11, 17, 4, -18, 8, 0],\n [-12, 0, 0, -14, 11, 1, -10, 13, -7],\n [20, 1, 4, -5, 12, -19, 18, -15, 13],\n [16, 1, -5, -14, -8, -4, -18, -9, -15],\n [-9, -10, 20, -2, 10, -19, 11, -3, -17],\n [1, -7, -7, 16, 8, 13, -15, -9, 3]]\nB =\n[[8, -11, 15, 13, 11, 11, -6, -12, 15],\n [1, -8, 20, -7, 5, 4, 1, 9, -8],\n [11, 16, -2, 14, 8, -14, 14, 18, -15],\n [-7, 7, -20, 0, 6, 1, -10, -12, -11],\n [18, 10, 11, 10, -13, 19, -16, 10, -14],\n [-7, 4, 0, 8, 10, -17, 20, 8, -20],\n [11, -20, -17, -1, 19, 16, -7, -7, -19],\n [0, 8, -9, -3, 17, 20, 11, 20, 1],\n [15, -9, 0, -13, 7, 1, -5, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1862", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -14, -1, 15, 20, -8, 20, 8, 16, -13],\n [-1, -11, -6, -9, -5, -13, -1, -7, 16, 5],\n [17, 20, 8, -8, 13, 1, 5, 13, 3, 0],\n [10, -9, 3, 0, -17, 4, -13, 15, 13, 6],\n [7, 8, 8, -11, 11, -13, -4, -9, 5, -18],\n [-10, -7, -14, 5, 16, 12, 11, 17, -1, -11],\n [-6, -6, -15, 4, -20, -15, -8, -10, 3, -1],\n [5, 4, -9, -12, 15, -12, 12, 19, 13, 3],\n [12, 12, 8, 17, -8, -3, 14, -19, 4, -15]]\nB =\n[[4, -1, -7, -17, -13, 13, 7, -19, -4, -17],\n [13, 6, -2, 7, 17, 13, 11, 20, 10, -15],\n [-15, 7, -13, -20, -5, -2, -3, 9, -5, 12],\n [7, -5, -10, -15, -7, 15, 1, 19, 2, 10],\n [7, -2, 1, -20, -18, -13, -8, -20, 8, -8],\n [8, 9, -5, 20, 13, 19, -18, 8, 9, 13],\n [-17, -13, -3, 1, -11, -7, 10, 14, -19, -19],\n [14, 13, 8, -15, -17, -20, 14, 5, 8, -10],\n [-17, 1, 12, 13, 10, -11, 14, 7, 2, -9],\n [8, -19, -8, 15, 5, -4, 12, 1, -19, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29290", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[18, 5, 9, 1, -10, 1, 3, 8, -11],\n [13, 4, 0, 18, -8, -19, -15, -20, 7],\n [1, -10, 18, -16, -3, -1, -9, 0, 6],\n [20, 13, -3, 13, -19, -7, 18, -20, 7],\n [20, 6, 9, 1, -9, -20, 12, 20, -20],\n [-16, -16, -14, -1, 5, -15, 5, -18, 18],\n [-7, -7, -1, -12, -15, -19, 17, 20, 12],\n [-16, -8, -6, 13, -12, 5, 9, 1, 4],\n [19, -17, 7, 16, -11, -12, 15, -20, 9],\n [-10, 4, -10, 20, -16, 6, 2, -2, -18]]\nB =\n[[-13, 15, -6, -8, 9, 20, -11, 13, 9],\n [4, -15, 16, -4, 15, 19, 11, 1, 12],\n [1, 15, -3, 7, -8, -3, 2, 14, -3],\n [-11, -19, -7, 11, 9, -2, -16, 11, -11],\n [-16, -7, 18, -2, -10, 14, 18, 17, 1],\n [9, 9, -10, 1, -11, -2, -6, 14, 14],\n [-20, -3, 5, -3, 20, -3, -3, 11, 17],\n [6, 8, 20, -1, 14, 2, -9, 14, 15],\n [7, 16, -1, 14, -14, 13, -15, -2, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31707", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -19, -5, 3, 4, -8, -12, 9, -12],\n [19, -14, -5, 17, 11, 8, 19, -6, -10],\n [-12, -5, 4, 11, -11, -11, 9, -1, 20],\n [13, -20, 11, 19, 10, -10, 20, -2, -14],\n [8, 17, 15, 12, 15, 5, 8, 8, 14],\n [-18, -16, 12, -10, -15, -19, -8, -20, 6],\n [19, -6, 14, 9, -15, 13, 0, 11, -1],\n [14, -12, 16, -15, -11, -12, 12, -5, 11],\n [17, -1, -1, -18, -7, 0, -13, 3, 0]]\nB =\n[[11, -4, 19, -17, 2, 15, 1, 4, -17, -11],\n [3, 14, -7, -1, -7, 18, -12, 13, -1, -18],\n [-9, 18, -9, 1, 14, 19, 10, -14, -12, 16],\n [1, -12, -5, 0, -12, -9, 6, -12, 6, 7],\n [14, 17, 11, 20, -18, -12, -18, 15, -8, 13],\n [9, -5, 12, 14, -5, 17, 19, -16, -13, 12],\n [9, -19, 17, 17, -1, -12, -20, -19, -2, -5],\n [20, -16, 11, -1, -7, -8, 6, 14, 13, -5],\n [7, 14, -6, -18, 6, 6, -17, 0, 1, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35375", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[20, 18, 2, 2, -8, 6, -6, -9, -11],\n [17, 7, 14, 17, -1, -9, -18, -19, 7],\n [1, 14, -12, 2, -4, -7, 11, 19, 15],\n [12, -11, -8, 13, -16, -15, 12, -16, 3],\n [-13, -3, 4, -3, 15, 5, -1, -1, 18],\n [19, 3, -1, -17, 1, 4, 0, -3, -12],\n [-12, 12, 20, -14, 12, -19, -13, 12, 14],\n [8, 11, -20, 10, 14, 19, 18, -1, 12],\n [2, -18, -9, -13, 20, -10, 5, 2, 17]]\nB =\n[[-16, 11, -16, -6, 2, 7, -2, -4, -6],\n [-8, 2, -3, 2, -5, -1, 4, 11, 0],\n [-20, 7, 6, 6, 15, -9, -6, -1, -2],\n [5, 0, 16, -11, 7, 5, -8, 4, 10],\n [-1, -6, -3, 19, 2, -18, -10, 6, 16],\n [-9, 12, 7, -15, -15, 0, 4, 15, -3],\n [18, -16, 2, 2, 2, 14, 8, -16, -4],\n [17, -19, -2, -18, 9, 12, 2, 5, 9],\n [-2, 18, 5, 11, 7, -12, 10, -6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "972", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 1, 19, -10, 12, 3, 19, -15, -5, 9],\n [9, -7, -14, -18, 10, -11, 12, 17, 16, -6],\n [-17, 16, -17, -11, 1, 10, 15, -9, -12, 7],\n [13, -16, 9, -5, -2, -7, 3, -10, -8, -11],\n [8, 18, 6, -20, 11, -3, -17, -5, -3, 0],\n [4, -11, -14, -20, 12, 12, -2, -14, 20, -7],\n [17, -14, -18, -10, -13, 5, 17, -18, 8, -9],\n [-3, -14, 9, -5, 4, -17, -17, 17, -20, -18],\n [7, -10, 16, -19, -12, -4, 11, 10, 0, -4],\n [-4, 6, 7, 18, -20, -5, -18, -6, -17, 15]]\nB =\n[[9, 8, 2, -16, -10, -2, -13, -10, -12],\n [4, 4, -7, 10, -8, -20, 9, -12, 19],\n [8, 10, -3, -18, 14, -19, -17, 20, -6],\n [-4, 5, 10, 9, 2, 9, -10, 12, 17],\n [-16, 14, -20, -17, 17, 16, -14, -11, 12],\n [-7, 15, 17, 9, 5, 10, -2, 19, -8],\n [2, -2, -5, 4, 5, 0, -3, -12, 3],\n [19, -4, 9, -17, 7, 20, 19, -12, 15],\n [-13, 1, 4, -15, 5, -19, 10, -9, -2],\n [16, 16, -20, -11, 13, -5, 20, -14, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29423", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-17, 18, 10, -11, -9, 13, 7, -16, 7, -10],\n [13, -6, -16, 0, 10, 19, -14, 14, 0, 19],\n [-16, -7, 13, -11, -3, -4, 17, 11, -4, 1],\n [4, -5, 9, 13, -16, 12, -16, 19, -18, 17],\n [-8, -13, 9, -16, 17, 10, -19, -14, -5, -11],\n [8, 9, -1, 13, -13, 13, 13, 15, -14, -7],\n [-1, 16, 12, 10, 12, 5, 5, 17, -5, -9],\n [-20, -1, -19, 10, -3, -11, -15, -19, -5, -16],\n [17, 1, 1, 1, -20, 15, -8, -9, -8, -10],\n [-3, 1, -20, -17, -12, -18, -13, -12, -3, -16]]\nB =\n[[1, 16, -16, 2, -5, -16, 16, 18, -18, 5],\n [-13, 0, -3, -16, -15, 6, 1, 1, 17, 17],\n [6, 12, 10, 7, 9, 13, -4, 14, 15, -15],\n [8, 2, -7, -12, -6, 17, 4, -1, 1, -14],\n [-3, -4, -7, 5, 19, 11, 8, 19, -14, -12],\n [-9, -18, 11, 12, -6, -12, -4, 7, -8, 0],\n [-16, -14, 17, 16, -2, 20, 11, -18, 18, 14],\n [6, 17, -13, -2, 9, 19, -11, 9, -12, 1],\n [10, -11, 15, -11, 6, -6, -2, -10, 11, -1],\n [-6, -17, -4, -20, -2, -16, -3, -4, 20, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35537", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 10, -18, -18, 8, -13, -16, 10, 6, 12],\n [-3, 3, 5, 10, -7, 4, 11, 18, 20, -7],\n [6, 1, 17, -14, 12, 20, 12, 3, 5, 10],\n [6, -8, 10, 11, 2, 16, 19, -5, 18, -13],\n [-3, 6, -12, 7, 1, -10, 1, -7, 2, -19],\n [-6, -16, 8, 12, 9, -4, -20, -7, -4, -12],\n [14, 10, -9, -19, -6, 13, 16, 20, 9, -7],\n [-17, -13, 2, -14, -4, 1, 17, 5, -13, 1],\n [19, 1, 19, -16, -12, -1, 1, 13, 14, 15]]\nB =\n[[-2, 7, -14, 20, 17, -18, 11, 10, 4, 12],\n [-16, 8, 10, 5, 0, 13, 16, -20, -17, 1],\n [-5, 11, 13, 0, 6, 16, -18, 13, -14, 8],\n [-18, 17, 20, -19, -9, -6, -5, -18, 6, 2],\n [12, 6, 3, 17, 6, 10, -6, 14, 15, 3],\n [-4, 13, -20, -1, -15, -16, 8, -15, 12, 17],\n [8, -11, 11, 4, 7, 8, 14, 11, 15, -14],\n [-11, 13, 12, 5, -8, 9, 11, 12, -15, 15],\n [-19, -14, 9, 5, 4, 12, -15, -13, -12, -10],\n [3, -15, 19, -5, -4, 3, -14, 19, 19, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25978", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-11, -12, -11, 9, -12, 5, 13, 14, 6],\n [-1, 3, 6, 20, -2, -3, 20, -9, 19],\n [-3, -13, 15, 17, -5, -8, 5, 5, 0],\n [0, -13, 12, -15, -19, -13, -15, -15, 1],\n [4, 10, 14, -16, 1, 4, -3, -12, 4],\n [8, 12, -13, 19, -8, -13, 20, 6, -18],\n [12, 10, 7, 0, 8, 8, -12, 1, -13],\n [-4, 2, 18, 9, -6, -7, 4, -5, -3],\n [11, 17, -6, 16, 12, -8, -14, -2, 0],\n [16, -12, -17, 10, -14, -8, 19, 15, -13]]\nB =\n[[5, 6, 5, -7, -1, 7, -13, -16, -8],\n [-19, -7, -18, -5, -12, 18, -19, -10, 3],\n [8, -7, 19, 1, 13, 15, 12, 18, -3],\n [1, 4, 16, -16, 11, 15, -12, -7, 11],\n [-12, 2, -12, 0, 11, -11, 8, 13, 1],\n [-16, -10, 7, 3, 13, 19, -11, 5, 20],\n [-14, -14, -6, -18, 5, -14, -19, -11, 9],\n [-18, 17, 8, 4, -17, -16, -15, -2, -3],\n [17, 15, -9, 3, 9, -7, 18, -19, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-670", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 15, 2, 14, 13, 0, 17, -13, 9],\n [-1, -1, 2, -1, 2, -17, -11, 19, -16],\n [11, -3, 4, -4, -16, 14, 0, 15, -2],\n [2, -16, 12, -17, 12, 14, 5, 16, 1],\n [-10, 5, 20, -8, -7, 20, -14, -5, -1],\n [6, 13, 1, 17, 16, -18, 6, -14, 14],\n [2, -19, 3, -19, 15, -4, -10, -14, -19],\n [-6, 10, -15, 16, 8, -17, 16, -9, 6],\n [4, -9, -4, -9, 10, -12, -2, 8, 4]]\nB =\n[[-6, -12, -8, -18, -11, -3, -11, 15, 7, -18],\n [-1, -3, 16, -1, -11, 13, 1, 0, 12, -5],\n [14, 15, -20, -9, -8, -13, 10, -16, 15, 4],\n [-8, 14, 11, -13, 1, -15, -10, -14, -6, -17],\n [19, 13, 19, 1, 9, -2, 16, 17, 9, 11],\n [-2, 4, 16, 2, -9, -12, 16, -4, 14, 20],\n [9, -17, 20, -17, 3, -18, -12, -10, 11, 19],\n [8, 13, 13, 0, 4, 0, -1, 3, -16, 20],\n [-19, -12, -13, 11, -14, 17, -1, -6, 18, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4999", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 1, 19, 3, 13, -12, -19, 4, -9],\n [-17, 19, -8, 8, 11, 6, 9, 18, -20],\n [-10, 2, -4, -6, 6, -11, -5, 16, 7],\n [-19, 18, 14, -6, -10, 12, -5, -10, -1],\n [-2, 18, 2, -11, -13, -19, -14, 5, 19],\n [-2, -15, 12, -10, 15, -9, 7, -12, 2],\n [19, -15, -2, -1, -3, 6, 12, 8, -12],\n [6, 18, -10, -13, -7, -8, -14, -6, 17],\n [-3, 15, 10, -17, -8, 18, 9, -2, -17],\n [-20, 19, 11, -9, -9, -1, -10, 9, 10]]\nB =\n[[7, 8, 20, 1, 8, -20, 0, 10, 6, 14],\n [-13, 19, -13, -15, -6, 0, 16, -15, 8, 4],\n [2, 17, 6, 2, -2, 7, 13, -14, -8, -17],\n [-10, 0, 0, 5, 10, -17, -18, 18, 0, 17],\n [-3, 12, 14, 11, -10, 18, 10, 9, 17, -1],\n [19, 5, -10, -19, 18, -4, 3, 9, 16, -15],\n [2, 14, 5, 4, 15, 0, 2, -20, -11, 4],\n [1, -13, 20, 12, -9, 18, -9, -9, -10, -13],\n [-13, 16, -5, 15, -3, 0, -17, -14, 13, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35033", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 16, 9, 5, -9, -10, 8, -18, -10],\n [-12, 5, -13, 0, -13, -15, -3, -15, 0],\n [2, 15, -3, 6, -18, -9, -1, -2, 2],\n [-16, -2, -9, 7, 16, 13, -5, -17, -15],\n [-14, 13, -17, -6, -8, -12, 16, -4, 17],\n [-7, 16, 10, -19, -2, -2, -8, 0, 10],\n [7, -20, 14, -11, -13, -8, -2, -18, -18],\n [6, -3, 14, 13, 9, -13, 0, -2, 19],\n [9, 6, -1, -7, -9, 2, -9, 18, 9],\n [6, 3, -18, 9, 14, 12, 16, 19, -5]]\nB =\n[[-3, -3, -7, 11, -9, -19, 5, 2, 14],\n [12, 20, 4, -17, 0, -17, 10, -6, -17],\n [-17, -18, -16, -2, 17, 11, -12, -18, 13],\n [4, -11, 11, -16, 8, -14, -6, -19, -11],\n [-10, 19, 0, -9, -17, 7, 8, -8, -3],\n [6, -18, 14, 18, 1, -4, 7, 17, -5],\n [-16, 1, -4, -10, 1, 15, 20, 19, -18],\n [6, -8, -8, 9, -3, 19, 12, -4, 20],\n [-11, 20, 3, 8, -13, 15, -7, 8, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27856", "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, 7, -11, 13, -5, -11, 8, -6],\n [7, 3, -1, 8, -19, 11, 9, -12, -2],\n [-15, -13, 13, -20, -8, -15, 14, 8, -19],\n [-11, 10, -13, 20, 18, 7, 10, -8, -14],\n [-20, 5, -5, -9, -5, 13, 6, 4, -2],\n [-14, -9, 3, 18, -16, -20, -14, 5, 3],\n [-4, -17, -5, 15, -16, -16, -4, 20, 0],\n [9, 12, 2, 8, 18, 17, -14, 16, -14],\n [-6, 8, -11, -1, -12, -15, -1, 0, -14]]\nB =\n[[17, 13, -18, -4, -19, -9, -8, 17, 15, -9],\n [6, 5, 19, -16, 11, 15, 17, -5, -11, 16],\n [-6, -10, -12, -3, 12, -12, 20, -6, 15, 15],\n [-20, 7, 12, -20, -15, -10, 6, -16, -11, 7],\n [-5, 5, 7, -7, -8, -20, 14, -6, 8, 10],\n [-9, -16, 11, -11, -16, 6, 18, 0, -5, 8],\n [-6, 17, -14, -3, -2, -4, -7, 20, -11, 4],\n [20, -12, -5, 3, 0, 13, 18, -14, -14, 7],\n [14, -11, 17, 11, 13, 3, 20, 20, -19, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30260", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-20, 1, -10, -10, -7, 6, 12, 7, 2],\n [-12, -3, 3, 6, 14, -17, 1, -10, -14],\n [20, 16, 13, -9, -17, -19, -20, -3, 2],\n [13, -17, -2, 19, 19, 20, -12, 2, -8],\n [-20, -9, -11, 6, -2, 19, 11, 1, 4],\n [-10, -10, 5, -5, 8, 9, -10, -20, -15],\n [-8, 6, 14, 12, -7, 1, 0, -19, -16],\n [-6, -1, 5, 3, 14, 3, 5, 20, 1],\n [6, -2, 16, 15, 8, 19, 18, -9, -5],\n [10, -6, 12, -6, 11, 1, -15, 9, 20]]\nB =\n[[-4, -19, -5, -9, -9, 18, -4, 20, -15, 20],\n [5, -20, -5, 19, -5, -5, 18, 8, 5, 9],\n [12, -1, 16, -8, -13, 11, -3, 20, -10, 17],\n [-7, 19, 12, 20, 2, -14, -6, -6, -12, 0],\n [16, 18, 7, -15, -11, -6, 3, -17, 14, -6],\n [16, -19, 19, 7, -16, 2, -12, -14, -17, -2],\n [-13, 10, -7, 8, -12, 16, -15, 7, -11, -18],\n [-9, 15, -10, -12, -15, -9, 20, -13, 20, -8],\n [-12, -1, 19, -11, 20, 6, -17, -11, -2, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1459", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 15, 20, -12, -19, -2, -13, 5, 15, -10],\n [-18, 9, -3, -4, -12, 9, -5, -13, 20, 5],\n [-16, -16, 3, -7, -16, 15, 4, -4, -15, -14],\n [-6, -15, 11, 19, 6, 19, -16, -5, -10, 18],\n [4, -19, 7, -14, 17, -20, -3, -9, -13, -1],\n [14, -5, 12, 19, 4, -2, 14, -5, -5, 4],\n [11, 7, -12, -3, 2, 9, 11, 3, -10, 5],\n [-10, -1, -3, 13, 15, -17, 0, 5, -7, 5],\n [-8, 5, 20, -6, 6, 2, 1, -11, -16, -17],\n [15, -5, 11, -10, 18, 12, 14, -17, 2, -18]]\nB =\n[[-1, -20, 12, -11, -18, 11, 17, 10, 0, 3],\n [3, -11, -15, 7, -20, -11, 20, 9, -6, -7],\n [3, -11, 5, -20, -1, 8, 13, -19, -19, -19],\n [-13, 4, -3, -4, 9, -13, 8, -2, 16, 3],\n [-3, -11, -5, 20, -16, -6, 2, 10, 9, -14],\n [-1, 18, -18, -18, 10, -14, -20, 6, -20, -15],\n [-1, 18, -18, -19, 11, -1, 15, 6, -1, -2],\n [0, -1, -16, -1, -9, -11, 1, 17, 7, -9],\n [18, -11, 14, 19, 16, -4, 6, 8, 5, -12],\n [-9, 5, 12, 11, -10, 8, -13, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34504", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-17, 15, 8, -2, 5, 15, 4, 2, 17, 7],\n [20, -10, 8, -1, -12, 3, 20, -8, -19, -4],\n [6, 17, -19, 12, -16, -7, 6, 15, 6, -7],\n [-6, 6, -13, 0, 13, 7, 3, -4, -15, 17],\n [-2, -20, 17, 5, -16, -17, 4, 1, -8, 2],\n [12, 4, -11, -3, 6, 5, -19, -11, -1, 17],\n [-18, -11, 7, -2, -4, 2, 7, 6, 11, 17],\n [-9, -1, -15, -18, -18, 2, -12, 12, 15, -9],\n [5, 16, -11, -10, -2, -16, 3, 14, 7, 9],\n [-2, -15, 18, -2, 10, -10, -4, -4, -6, -15]]\nB =\n[[11, 19, -10, -8, -4, 7, -3, 7, -5],\n [15, 19, -1, 18, 6, 19, 12, -19, -8],\n [-19, 16, -16, -15, 11, 3, -4, -12, 19],\n [19, -19, -12, -15, -2, 12, -2, 12, 9],\n [18, -8, -3, -19, -18, -15, 7, -8, -1],\n [11, 10, -12, -18, 10, -6, -17, -4, 10],\n [8, -10, 11, 19, -18, -20, -13, 20, -4],\n [-13, 12, 5, -19, 8, -6, 9, -9, -19],\n [0, 8, 8, -5, 10, 12, -19, -17, 18],\n [-16, -19, -13, 15, -15, 20, -11, 15, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 9) when matrix A is multiplied by matrix B?\nA =\n[[18, -7, -9, -4, 0, -8, 12, -8, -12, -1],\n [19, -20, -8, 1, -8, 14, -20, 12, -16, 9],\n [-16, 4, 5, -2, -9, -13, -11, -3, 20, -10],\n [9, -16, 3, -8, 15, 6, 11, -7, 20, -19],\n [-17, -10, 16, 17, 16, -8, -12, 6, -19, 6],\n [-9, -9, -18, 5, -6, 6, 14, -8, -16, -4],\n [-2, -1, 2, -9, 11, 8, -16, -19, -15, 0],\n [14, -6, -3, -19, -16, 16, 20, -15, -2, -5],\n [-9, 3, -12, -18, -4, 9, 6, 3, 18, -14]]\nB =\n[[-12, -5, -10, -12, -20, 14, -1, -13, -14],\n [16, 16, -1, -16, -9, 0, -1, -16, 2],\n [-14, -20, 4, -2, -19, -9, 4, 11, -3],\n [10, -12, 0, 18, -14, -8, -1, -8, 7],\n [16, 4, 5, 12, 19, 19, 6, -6, -18],\n [8, 10, 19, -3, 3, 18, -13, 8, 16],\n [16, -12, 9, -6, 19, -9, 20, 6, 10],\n [-8, -6, -16, 4, -9, -12, 5, 16, -12],\n [-16, -14, 20, 10, 16, -14, -16, -4, -10],\n [16, 15, 6, -20, -20, -7, 7, 20, -20]]\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 all entries of the result:\nA =\n[[-13, 20, 5, 15, 8, 19, -17, -19, 9, -1],\n [9, -3, 9, 14, -20, -18, 2, 19, 1, -6],\n [20, -5, 6, 11, 13, -9, -3, -3, -17, 13],\n [18, -2, 10, 10, -1, -1, 11, -1, -5, -2],\n [10, -8, -1, -9, 5, 14, 20, -11, -9, 3],\n [-12, -16, 10, 13, -10, -12, 1, 19, 7, -5],\n [-11, 13, -6, -3, 10, -16, 12, 8, -18, 2],\n [-11, 11, 6, 15, 3, -1, -18, -16, -18, 19],\n [-15, -6, -15, 2, 9, 18, 19, 0, 16, 1]]\nB =\n[[-19, -7, -3, -6, 16, -19, -1, -11, -16, 11],\n [-19, -16, 0, -3, 19, -17, 11, 15, -17, -4],\n [12, 1, -3, 6, -6, 4, -11, -5, -17, 10],\n [11, 3, -3, 11, 7, -10, -13, -20, -19, 0],\n [-2, 9, 19, 4, -12, 7, 16, 11, 20, -10],\n [0, 3, -20, -5, 3, -11, 11, 7, 12, 17],\n [1, -20, 14, -9, 4, 7, -4, -5, 11, -17],\n [20, -10, -1, 5, -14, 10, -14, -17, -13, -7],\n [1, 2, 4, 15, 5, 3, -3, 0, -16, -6],\n [10, 5, -17, -17, -2, 5, 12, -17, 17, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1873", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 13, 13, -19, -13, 0, -9, 15, -20, 18],\n [-5, -15, 12, -8, -12, 14, 7, 13, 11, -20],\n [18, 4, -11, -19, -17, 4, -5, 19, -16, 2],\n [-1, -18, -20, 4, -5, 20, -16, 15, -15, -9],\n [2, 17, -16, -19, -18, 20, -14, 5, -9, -20],\n [-20, 12, 18, -12, -20, -6, 4, 15, -11, 10],\n [-1, -16, 7, 13, 18, 17, -5, -6, 20, 18],\n [5, 9, -19, -18, -2, 3, -18, 19, -16, 11],\n [10, -9, 15, 15, 10, 12, -14, 5, 5, -1],\n [13, 12, -2, -4, 16, -15, 1, 17, -4, -1]]\nB =\n[[20, 5, 7, -13, -14, -14, 8, -18, -5],\n [-8, -3, -8, 10, -18, 9, -18, 5, -19],\n [18, 13, 17, -8, -10, 16, -14, 6, -14],\n [-13, 15, 8, 0, 5, -1, 8, -6, 2],\n [-6, -11, -19, 9, 16, 6, -4, -18, -13],\n [16, -17, 3, 8, -13, 13, -12, -4, -11],\n [3, 1, -4, 10, -12, -6, 9, -4, -14],\n [5, -19, 8, -15, 12, 17, -20, -11, 10],\n [3, -13, 7, 7, -13, 8, -2, 8, -6],\n [10, -16, 7, -6, -13, 15, 11, 18, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31004", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 8) when matrix A is multiplied by matrix B?\nA =\n[[1, -16, -11, 10, 16, 2, 11, 3, -17],\n [17, -6, -10, 4, 5, 18, 16, 15, 12],\n [-1, 13, -9, 15, -17, -8, -18, -4, -14],\n [-7, 11, 5, 10, 10, -5, -20, 13, 5],\n [9, 20, -16, 3, -11, 17, 14, -19, 8],\n [-2, 17, -7, 7, 13, -17, 4, -15, 7],\n [17, -12, -3, 10, 1, -17, 12, 15, 14],\n [-8, -6, 12, 7, 13, 17, -20, 10, -4],\n [1, 11, 8, -20, 7, 20, -19, 4, 0],\n [16, 5, 19, -20, 11, -12, -16, 19, -4]]\nB =\n[[8, -2, 19, 8, -9, -13, 10, -6, 13],\n [5, 14, 8, 12, 12, 15, 0, 9, -2],\n [11, -20, 12, 5, 6, 7, -1, -13, 5],\n [10, -16, -10, 0, -13, 5, -9, -8, -11],\n [8, -13, 17, -20, -12, -17, 12, 0, -14],\n [11, 18, 7, 5, 16, 13, -12, -15, 1],\n [-12, -6, -20, 11, -3, -10, 14, 12, -17],\n [13, -2, -9, 19, 15, 20, 1, -9, 7],\n [-6, -17, -13, 10, 5, -18, 18, -14, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -4, 11, -11, -5, 5, 1, -6, -9],\n [18, -18, 3, -19, -17, 2, 2, -13, -9],\n [-12, -10, 10, -20, 14, -6, -14, 7, -15],\n [-1, 3, 15, 17, -9, -18, 7, -9, -5],\n [-6, 10, 0, -3, -15, -4, 2, 14, -3],\n [-10, 2, -4, -15, 3, 16, -5, 8, 8],\n [7, -5, -18, 3, -3, -4, -11, 16, 4],\n [15, 2, -2, -11, -10, 20, -16, -15, -18],\n [17, -10, 3, 5, 5, 3, 19, -17, -11],\n [13, 8, 5, -2, 0, -2, 19, 17, -2]]\nB =\n[[-3, -7, 14, -3, 7, -2, 4, -6, -18, 2],\n [-9, 11, 7, 13, -20, -11, 6, -9, 15, 12],\n [-17, 0, -1, -4, 13, -7, -11, -1, 14, -6],\n [18, 6, -6, -2, 5, -9, 3, 15, 12, -16],\n [-12, 19, -7, 15, 4, -14, 13, -14, 10, 11],\n [0, -6, 9, -17, 13, -12, -9, 9, 3, 8],\n [1, 14, -1, 16, 20, -12, 1, -5, -19, 2],\n [8, -10, 14, 1, -18, -9, -20, 5, 13, 8],\n [12, 11, 4, 15, -19, -6, -8, -6, -15, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2903", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 14, -3, -15, -7, -3, -1, -6, 6, 3],\n [-9, -20, -7, 11, -18, -11, 5, 10, -11, -20],\n [11, -2, -20, 5, -16, 5, 17, -20, 9, -9],\n [15, 15, 3, 4, -13, -9, 6, -9, 11, 14],\n [-5, 15, 9, 16, 11, -6, 0, 19, 8, 9],\n [4, -1, -11, 10, -20, -11, -3, 15, -8, 11],\n [1, -15, 12, -20, -18, -16, 6, -9, 12, 20],\n [6, -8, -10, -10, 15, 20, -17, -3, -3, 7],\n [-15, -16, -10, -16, -12, 2, -10, -6, 4, -4]]\nB =\n[[5, -7, 18, -12, 6, 14, 6, -5, 1, 9],\n [5, 18, 18, 12, 19, -20, -9, -4, 4, 8],\n [7, -2, 20, -11, -10, -11, 9, -14, -16, 7],\n [-1, 11, -9, -16, 9, 12, -11, 18, 6, -9],\n [-19, 9, 20, -16, 16, -7, 5, -13, 10, -18],\n [7, -7, -10, 8, 19, -9, -12, 15, -2, -14],\n [-4, 2, -9, -14, 4, -7, 10, 4, -10, -10],\n [-14, -18, -6, -18, 20, -4, -14, -10, -1, -20],\n [11, 17, 0, 10, -4, 4, 20, 12, -9, 7],\n [5, 15, -13, 11, 5, -16, 17, -8, -2, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3859", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 5) of the product of the following matrices:\nA =\n[[-15, -5, 8, -3, 11, 8, -4, -16, 11],\n [8, 8, -18, -17, 4, 1, -10, -13, 6],\n [1, -18, 6, -10, 6, -14, 6, -10, 4],\n [18, -5, 0, 5, 6, -4, 10, -7, 2],\n [-19, 5, 5, 1, 7, -15, 18, -2, 0],\n [-1, 10, 6, -6, 10, -12, -4, -2, 11],\n [-11, 19, -16, -8, 6, -19, -20, -13, -11],\n [7, -16, -19, 20, -4, 12, 4, -16, 7],\n [-3, 2, 14, -3, -10, -11, -11, 15, -12]]\nB =\n[[-8, 2, -20, -5, -2, -9, -16, -16, -14],\n [-7, 12, -15, -3, -15, 9, -9, 14, -10],\n [-17, -8, -20, 17, 8, -7, 0, 20, 10],\n [20, -14, -6, -12, 8, 3, -6, 0, 20],\n [3, -14, 3, 2, 4, -13, 13, 14, 1],\n [13, 7, -20, 16, 9, 4, -19, 7, 7],\n [2, 17, 3, 14, -13, 15, -3, -1, -17],\n [-13, 5, 18, -1, -3, 12, -3, 13, -2],\n [12, 0, -14, -7, 12, -17, -19, 19, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 2) of the product of the following matrices:\nA =\n[[9, -11, 0, 2, 16, -13, -11, 4, 12, -4],\n [3, 9, -20, -4, 7, -8, -11, -20, -1, -14],\n [11, 0, 5, -14, 17, 19, 20, 6, 13, -9],\n [-9, -6, -1, -11, 5, -4, -11, -10, -4, -10],\n [-6, -17, 4, 15, 10, 8, 10, -12, -20, -18],\n [-17, -2, 20, 1, -13, 4, -17, -7, -16, 8],\n [0, -6, 2, -4, -18, 12, 6, -5, -15, 20],\n [-11, 8, -4, 18, -7, -9, 17, 8, -7, -13],\n [19, 19, -4, 18, 2, -14, -9, -5, -8, -2],\n [-18, -13, 19, -9, 10, 14, -1, 7, -19, 6]]\nB =\n[[-18, 0, -14, 12, 12, 15, -4, -15, 0, 17],\n [13, -9, -9, -3, -15, -8, 10, 4, 3, -10],\n [12, 0, 18, 3, -1, -12, 10, 7, 17, -16],\n [16, 20, 13, -11, 11, 16, -4, 15, 15, -8],\n [-1, 17, -2, 1, -5, -15, -10, -11, 10, -3],\n [11, 20, 3, -5, 8, 18, 4, 19, 4, 19],\n [-2, -11, -20, 6, 1, 7, 14, -18, 17, 5],\n [-16, -11, -14, 9, 4, 13, 0, 8, -4, 15],\n [19, 0, 13, -5, -12, -18, 2, -8, 17, 13],\n [9, 18, 5, 11, -1, 17, -12, 18, -5, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-17, -9, 5, -11, -5, -20, -9, 1, 8],\n [-2, 9, 7, 0, -3, 20, 3, 5, 15],\n [-5, 11, -19, -12, -3, -2, 17, -9, -8],\n [14, -11, 1, -11, 14, -5, 15, -10, -4],\n [4, -20, -9, -18, -12, -2, -2, -1, -10],\n [3, 1, -20, -11, -10, -13, -4, -15, -14],\n [10, 16, -17, -14, -5, 4, 15, 14, -7],\n [15, -12, -10, -20, -12, 4, 19, -6, 3],\n [-13, 8, -14, -3, -18, 3, -1, 10, 5],\n [17, -13, 11, -13, -16, -5, 6, 18, -20]]\nB =\n[[-16, -18, -4, 12, -2, -17, -8, 5, 20, 10],\n [14, -5, 3, 9, -4, -8, 17, -14, -12, 0],\n [9, 16, 16, 1, 10, -17, -11, 9, 9, 20],\n [-14, -6, -2, -11, 18, 6, -18, 14, -3, 3],\n [-8, -4, -4, -10, -4, -2, -14, -2, 13, 8],\n [9, 8, 17, -13, -17, 7, -10, -3, 0, 19],\n [11, -4, 13, -4, -6, -1, 18, -10, -2, 11],\n [3, -15, -3, 20, -8, 5, -13, 5, -7, 20],\n [-15, -5, 14, 13, 19, 6, 15, -9, -20, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-847", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -3, -5, 14, -12, 18, 17, -15, 5],\n [-4, 3, -11, 11, -18, -2, 14, 6, 4],\n [0, -19, -1, 2, 12, -13, 16, 9, 10],\n [20, -3, 10, 5, 3, -16, -10, 3, -20],\n [-9, 17, 2, 4, -9, -18, 3, 5, -6],\n [10, 0, 0, 0, 4, -9, 16, -3, -11],\n [-15, 8, 8, 8, -12, 11, -8, -10, 13],\n [8, -9, 10, 20, 1, 5, -9, 14, 17],\n [-17, -11, -3, -2, -6, 2, 2, 0, 5]]\nB =\n[[13, 20, -8, 4, 12, 7, -8, 6, -13, 15],\n [-15, -8, -1, -16, 6, -2, -20, -17, -19, 5],\n [12, 17, -14, 8, -16, -12, -8, 19, 8, -3],\n [9, -11, -2, -12, 0, -20, 20, 5, -7, 18],\n [8, -14, 3, 6, -19, -19, -5, -9, 19, 5],\n [-11, -6, 4, -17, 5, 2, 16, -17, -20, -20],\n [18, -18, -6, -3, 0, -13, 4, 11, -15, 19],\n [-1, 8, -16, 14, -2, 18, -9, 12, 14, 17],\n [-13, 17, 10, -10, -17, 19, -16, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3528", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -4, 6, 2, -16, 7, 16, 9, 8],\n [-7, -13, 6, -15, -14, 5, 9, -4, -15],\n [-18, -2, -2, 3, 7, 14, 14, -16, 17],\n [-15, 8, 2, 16, 11, -20, 13, 7, -14],\n [16, 8, -2, -2, -1, -6, 3, 20, -13],\n [-14, -2, 7, -9, 5, 14, -17, 13, -14],\n [6, -18, 12, -9, -2, -4, -3, -18, -8],\n [11, -16, 4, 1, -13, -5, 11, -16, 15],\n [4, -5, 3, -7, -8, 2, 4, 6, -13],\n [-3, 16, -15, -15, 4, -1, 2, -4, 11]]\nB =\n[[-5, 16, -1, -18, -20, 16, 14, -5, -17, -18],\n [-4, 13, 13, -4, 3, 16, -19, -7, -11, -6],\n [16, -3, -8, 14, 15, 16, -11, 8, 13, 3],\n [6, -12, -12, -11, -9, -6, -18, 7, -12, 18],\n [9, 2, 9, -5, 15, 9, 16, -5, 7, -1],\n [-7, 8, 16, -2, -4, -20, 8, 8, 3, -2],\n [-11, 15, -4, -4, 11, -5, 2, -5, 11, -19],\n [19, -15, -11, 13, 9, 15, -15, 12, -16, 7],\n [-14, -2, 5, 17, 17, 18, -4, -2, 6, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28666", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, 17, -4, 8, 18, -4, -6, -5, 12],\n [-10, 12, 11, 7, -1, 8, -5, 9, -4],\n [-7, 3, 16, -8, -3, -14, -10, -4, -2],\n [-15, -3, -11, -20, -20, 17, 6, 4, 5],\n [18, -11, 15, -13, 12, 8, 13, 6, -17],\n [-16, -10, -20, -8, -1, 13, 12, -7, -9],\n [-10, -20, -13, -3, -16, 10, -18, 1, -15],\n [3, 6, 0, 16, 13, 14, 15, 5, -20],\n [-2, 5, 2, 19, 13, 6, -18, 18, -8],\n [18, -5, -18, 5, -16, -18, 7, 9, 2]]\nB =\n[[-3, -16, 1, -20, 6, -7, 20, -12, -17],\n [4, 10, 11, -19, 16, -19, -7, -6, 4],\n [-11, 7, -13, -7, -1, -8, -2, 13, 5],\n [16, 3, 0, 3, -13, 12, -16, 4, 19],\n [-4, 4, 12, -16, -6, -6, -20, -3, -15],\n [13, -19, -4, -16, -1, -7, -9, -17, 20],\n [-11, 18, 9, 16, 5, -17, -15, -6, -3],\n [-4, 12, 15, 4, 7, -8, 11, -2, 10],\n [-6, 2, 19, 6, -20, 1, -13, -16, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26824", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 1) of the result:\nA =\n[[12, -9, -17, -6, -12, -8, -11, -7, -20, 6],\n [1, 1, 5, 3, 9, 19, -4, 2, -11, 12],\n [-13, -16, 13, 6, 10, 4, -19, -1, -18, 20],\n [19, 17, 19, -6, 6, 3, 14, 2, -13, 1],\n [-5, -15, 18, 8, 5, -12, -2, -14, 4, 3],\n [18, 16, 13, 8, 13, -1, -16, 15, 9, -1],\n [-10, 0, -1, -15, 5, 2, -16, 4, 8, -17],\n [6, -11, 13, 6, -13, 14, 7, -12, 13, 9],\n [-4, 12, 8, 16, -8, 8, 19, 18, -7, -13],\n [11, -10, 14, -16, 16, -16, -19, 5, 9, -8]]\nB =\n[[17, 19, 6, -4, -6, 12, 9, 11, -14, 18],\n [-5, -10, 16, -7, 2, 10, 7, -16, 3, -3],\n [-17, 2, -12, -10, 14, -10, -14, -4, -3, 5],\n [5, -4, -11, 9, -6, 5, 20, 7, -2, -20],\n [13, 17, 3, 20, 3, -3, -20, -11, -17, -7],\n [0, 5, 17, -16, -6, 3, -11, 14, -4, 11],\n [-12, 10, 20, -6, -18, 19, 14, -8, 1, -14],\n [-1, 16, 5, -2, 9, 13, 14, 7, 14, 13],\n [-5, 11, -4, 3, -16, -9, 1, -9, 8, 18],\n [18, 15, -15, -13, -15, 9, -2, 9, 4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-19, 3, 7, 13, -18, 5, 1, 11, 15, -7],\n [16, -18, 7, 5, 19, -11, 5, 19, 2, -14],\n [13, -9, 1, -10, -12, -16, -15, -14, -3, -6],\n [-20, -6, -12, -14, -12, -10, -18, -8, -16, 11],\n [1, 5, -18, 20, -13, 3, 19, -8, -10, 17],\n [-7, -16, -8, 3, -5, 8, -2, -4, 10, 8],\n [11, -4, -14, 17, -16, 3, 12, 2, -7, 13],\n [-17, -20, -19, 8, -12, 7, 12, 2, -1, 10],\n [5, 10, 11, 14, -6, -6, 16, 4, -1, 1],\n [-1, -6, 9, -7, 20, 0, -4, -16, -6, 6]]\nB =\n[[18, -1, 20, 14, -4, -12, -17, -5, -5],\n [8, 11, 11, 17, 18, 19, 17, 18, 20],\n [-5, -6, -3, -17, 16, 19, -17, -4, -4],\n [13, -2, 1, 18, -20, -3, 18, 7, -8],\n [14, -12, -4, 13, -6, -12, 18, -2, -10],\n [3, 0, -3, 5, -17, -19, -4, -20, -8],\n [-11, -4, 0, -12, 10, 14, -11, -6, -19],\n [17, -18, 5, 12, 3, 12, 9, -17, 1],\n [-1, 8, 0, -4, -19, 13, 1, -15, 4],\n [-19, -4, -12, -1, 16, -6, 5, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28585", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[9, -11, 17, 0, 3, 13, 7, 16, 3],\n [8, -4, 18, 3, -4, 16, -15, 16, 10],\n [-1, -19, 20, -3, 1, 20, 16, 5, -9],\n [-15, -4, -7, -11, 5, -18, -6, -5, 17],\n [-7, 15, -8, 6, -13, 2, 20, -10, -16],\n [-16, 4, -3, 3, -12, -10, -7, -12, -16],\n [6, -10, 7, -12, -8, -2, -13, -17, 4],\n [-14, 6, 19, 2, 19, 8, 15, -11, 11],\n [2, 19, 3, 0, 18, 19, 8, 6, 13],\n [5, -6, -15, 4, -3, -14, -19, 13, -20]]\nB =\n[[-19, 15, -17, 7, 2, 18, -1, 16, -9, 11],\n [17, 10, -3, 8, 13, 8, 6, 10, 13, -4],\n [-1, 10, 10, 18, 0, -14, 11, -9, 2, 19],\n [-15, 11, 17, -6, 5, -1, -9, 20, 5, 9],\n [8, 9, -8, 20, 1, 20, -4, 2, 4, -15],\n [16, 5, 0, 14, -15, 1, -4, -10, -17, -11],\n [-4, 17, -3, -2, 1, -6, -2, 4, 16, -3],\n [-9, 11, 5, 5, 7, 4, 9, 20, 17, -7],\n [-20, 12, -10, 14, 0, 1, -16, 19, -3, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -3, -9, 0, 19, 9, 20, -6, 14, 7],\n [-17, 7, 9, 6, -5, 11, -9, 15, -6, -2],\n [-3, 5, -10, 9, 7, 2, -6, -10, 0, 18],\n [10, -6, -4, 4, 3, 15, 12, -17, -20, 17],\n [-10, 0, 4, 7, -15, -15, 1, -6, 12, -4],\n [-9, 10, 14, 13, 11, 2, 17, -16, 19, -19],\n [10, -9, 18, -1, -7, -10, 10, 12, 5, -19],\n [10, 14, 6, -16, -10, 18, 7, -5, 19, 5],\n [3, -17, -9, -3, -7, -4, 20, -5, -1, 7]]\nB =\n[[20, -20, -5, -17, 11, 8, -13, -19, 3, 20],\n [-7, -20, 12, -10, -1, -6, 7, 0, 2, -12],\n [-1, -4, -6, -16, 12, 9, -5, 15, 16, 20],\n [17, 3, 4, 6, -16, 0, 14, -15, -12, 6],\n [-20, 9, -6, 11, -1, -17, 13, 17, -1, 7],\n [18, 4, -10, -13, 13, 6, 1, -13, 12, 18],\n [-12, 1, -12, 10, 13, -17, -7, -13, 20, 14],\n [1, -15, 12, -3, -13, -14, 11, -14, -11, 15],\n [10, 10, -11, -1, 14, 8, 9, 10, 12, 19],\n [-17, 13, -4, 13, 11, 12, 16, 10, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6806", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 7, 17, -11, -13, 15, -2, 7, -16, 3],\n [-14, -1, -19, -11, -3, 13, -7, -11, 17, 11],\n [-18, -13, -12, -10, -5, 13, 3, 10, -16, 12],\n [9, 9, -6, 18, -5, 5, -9, -2, 14, -1],\n [0, 16, -6, -5, -5, 2, -17, 8, 16, 3],\n [-13, -16, 8, -11, -12, 1, -11, -1, -1, 6],\n [17, -11, -2, 20, 9, -5, 19, -9, -16, -18],\n [3, 5, 10, -18, -20, -10, -16, -14, 12, -8],\n [10, -8, -20, 17, 18, 12, 14, 18, -12, -15]]\nB =\n[[20, -12, 6, 8, -17, 4, -5, 13, -10],\n [-12, 14, 6, 18, 7, -16, -5, 7, -19],\n [-11, -2, -1, 17, 14, 20, -11, 15, -5],\n [5, 10, -20, 2, 6, -2, -5, 17, -13],\n [-5, -9, -12, -14, 19, 16, 2, 20, -13],\n [2, -1, -10, -20, -16, -7, -14, 3, 18],\n [-17, 6, -14, 3, -12, -20, 13, 19, 10],\n [18, 2, -18, 18, -1, 5, 13, 11, 12],\n [19, -16, -11, 15, 9, -12, 11, 0, 5],\n [2, -12, -16, -13, -10, 15, -3, 10, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2585", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-13, 15, -2, 1, -19, -10, -18, 12, -11, -18],\n [18, 16, 13, 7, -7, 7, 9, 9, 6, -19],\n [16, -8, 18, 7, -1, 18, -3, 13, -4, 17],\n [2, 10, -12, 14, 4, 18, 9, -16, 7, -14],\n [17, -2, 4, -3, 5, -1, -19, 9, 1, 13],\n [14, -16, -6, 18, -6, 7, -9, -18, -11, 15],\n [-14, -4, -1, 7, -9, -3, 16, -9, -13, 19],\n [20, -2, 15, -15, 7, -20, -2, -18, 15, 6],\n [-15, 9, 16, 6, -15, 20, -4, 9, -6, -2],\n [9, 19, -12, 13, 5, 16, 14, -19, -8, -12]]\nB =\n[[0, 20, -20, -1, -16, -9, 0, 18, 2],\n [-13, 1, 5, -2, -6, 16, 20, 0, -8],\n [-14, 4, 12, -18, 18, 11, 20, 15, 19],\n [2, -19, 11, -15, -14, 0, 12, -5, -18],\n [5, 4, -6, 1, 16, -1, 8, 16, -2],\n [19, 10, -7, -6, -20, -9, -10, -12, 12],\n [6, 13, -20, -11, -8, 8, -16, -10, 6],\n [18, 15, 6, 18, 4, 18, 3, 10, -14],\n [4, 1, -10, 4, -2, -17, 4, 13, 7],\n [-5, -19, 5, -13, 5, 17, 0, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34269", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[17, -9, 10, 16, 17, -14, -14, 14, 6, 5],\n [19, -2, 1, -20, 13, 11, 8, 1, -1, 7],\n [7, -13, 0, -3, -6, -11, 6, -3, -1, 17],\n [12, 9, -18, -20, -11, -20, 12, 8, 14, 16],\n [10, -14, -1, 1, -9, -11, 17, 10, 19, 18],\n [0, 2, 10, 9, 1, 0, 20, -1, 7, 18],\n [-5, -2, 3, 10, -16, -4, -20, 16, 9, 11],\n [11, -19, 13, 8, -16, 9, -3, -7, 16, -10],\n [-17, 1, -18, 3, 13, -13, 3, -5, -15, 0]]\nB =\n[[11, 18, 1, -12, -3, -9, -15, 6, 18],\n [-20, -6, -7, -8, 0, 20, -15, -1, -17],\n [19, -2, 19, -11, -16, -19, 10, -1, -15],\n [-2, -3, 9, -14, -4, -17, -18, 4, 9],\n [15, -7, 20, 2, -5, 7, -9, -13, 9],\n [20, 17, -15, 18, -16, -18, -11, 9, -5],\n [-10, -18, -6, -20, -8, 18, 18, 17, -18],\n [9, 20, 5, -10, -15, -9, -5, 1, 1],\n [17, -9, 15, -4, 19, 11, 16, -18, 4],\n [-2, 16, 17, 20, -2, -5, 5, 12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[16, -1, -16, 19, 3, -15, -9, -17, -8, 0],\n [-16, -8, -19, -15, 8, 2, 14, -11, -1, 4],\n [15, -11, 6, -14, 0, 1, -3, -20, 4, 0],\n [9, 11, 14, -7, 18, 4, 8, 19, 11, -10],\n [7, -16, 14, 4, 20, -14, 12, 6, 0, 6],\n [4, 1, -10, -15, -18, 9, 7, 20, -4, 2],\n [13, 0, -16, -6, -19, 3, -11, -1, 14, 20],\n [0, 9, 8, 14, 17, 5, -1, 15, 19, -3],\n [1, -8, -6, -5, 4, -18, -16, 6, 18, 12]]\nB =\n[[19, 17, -17, 17, -19, -2, -3, -10, 14],\n [-10, 12, -19, -20, 12, -8, 6, -20, 8],\n [19, 1, 18, -1, 19, -19, 20, -4, 20],\n [-16, 5, -8, 13, 9, 20, -19, -9, 1],\n [17, -8, 4, 19, 18, 16, 0, -3, -2],\n [-8, 4, -5, 8, -5, 1, -9, 5, 7],\n [7, 2, 18, 9, 15, 17, -7, 10, -9],\n [-10, -17, 4, 4, -1, -13, 3, -3, 17],\n [-12, 3, -16, -8, 0, -12, -19, -20, -13],\n [3, 13, -11, -20, 14, 20, 5, -17, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2809", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-16, 2, 13, -6, -18, -2, 18, 18, 6],\n [1, -6, 19, -6, 11, 10, 18, -4, -8],\n [17, 16, -5, 7, 13, 11, 3, 16, -16],\n [2, 0, -20, -8, -13, -20, -6, -11, -20],\n [-7, 16, 20, 0, -20, 6, 10, -14, -3],\n [15, 3, 17, 14, -17, -19, 14, -3, -19],\n [6, 19, -14, 20, 10, 20, 13, -14, 8],\n [-13, 12, -18, 19, 11, -2, -17, -11, -3],\n [-2, -9, -10, 11, -15, 17, 7, 5, -13],\n [-11, 1, 13, 1, 1, -15, 10, 15, -10]]\nB =\n[[-3, 13, -18, 20, 17, 15, -4, 9, 9, 10],\n [11, -2, -12, -5, 17, -2, 9, 15, -10, -6],\n [3, 20, 0, -11, 4, 11, 12, 3, 0, 5],\n [-4, -2, -18, -8, -19, 20, 11, 12, 11, 4],\n [-18, -14, 4, 2, 7, -9, -13, 14, 4, 9],\n [11, 15, 11, 4, 5, -13, -16, -19, -2, -18],\n [-9, 18, 11, -15, -13, -16, -8, 10, -8, -20],\n [-17, -1, 8, 11, 12, -7, -2, -18, -10, -12],\n [7, -19, -8, 14, 10, -7, -6, -16, 18, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[17, -19, 12, 6, -18, -19, 7, 9, 20],\n [2, 12, -7, -7, -8, -17, -2, 3, 15],\n [-15, -9, -12, -8, 3, -6, 9, 11, 11],\n [13, 14, -3, -2, -6, 1, 4, 3, -15],\n [15, -11, -9, -16, -1, 16, -3, 19, 12],\n [20, -9, 12, -16, -12, 12, 9, -4, 14],\n [-5, 19, -2, -19, -15, -10, -12, 6, -7],\n [14, -1, 11, -13, -10, -19, -16, 9, 20],\n [-10, -5, 4, 4, -10, -20, 12, -20, -12]]\nB =\n[[6, 17, -2, 19, -4, -9, -19, -13, 12, -8],\n [0, -2, 13, 9, -1, -3, 0, 15, -14, -16],\n [-12, -3, -20, 15, -7, -13, 16, -1, 10, -14],\n [20, 17, -6, 14, -4, 6, 0, 19, 5, -16],\n [12, -16, 7, 0, -13, -19, 16, -7, 13, 16],\n [0, 6, -3, -16, 13, -3, 14, 5, 8, 20],\n [7, -15, 5, -3, 9, 12, 11, 5, 1, 13],\n [-9, 1, 0, 3, 4, -19, -20, -11, 13, -16],\n [-4, -20, -7, 0, -15, -10, 18, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11464", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 20, 5, -18, 17, 20, 17, 7, -11, 3],\n [19, -14, 2, 2, 3, 10, 1, 6, 17, -16],\n [-3, -13, 14, -4, -9, 18, 1, -15, 9, -19],\n [-16, -19, 14, -16, 10, -4, 6, 10, -11, -9],\n [-3, -8, -13, 14, -17, -14, 0, -6, 13, 1],\n [-20, -15, -20, -2, 6, -11, -7, 13, 20, 11],\n [-18, -5, 18, 12, -16, 14, -4, 2, 5, -14],\n [20, -14, -6, 9, -1, -18, 1, -14, 10, -18],\n [-4, 1, 16, -18, 9, 3, 12, -11, -14, -5]]\nB =\n[[11, -19, -13, -6, -18, -1, 13, 20, -17],\n [2, -13, -11, 17, -16, -11, 5, -5, 2],\n [-4, 7, -3, 20, -10, 13, -6, -20, 12],\n [-12, -4, -6, -17, 16, -15, -15, -2, 2],\n [9, -20, -12, 1, -20, 15, 4, -5, 5],\n [7, -16, 1, -7, -12, -7, -5, 9, 11],\n [-15, -4, -20, -3, -10, -10, 7, -9, 13],\n [-5, -11, 18, -13, 5, -7, -12, -2, 13],\n [17, 8, 8, 7, 3, 7, -9, -2, -15],\n [-19, 18, 10, 16, 8, 19, -9, 12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-582", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 9, -3, -14, -6, 9, -16, -16, 12, -15],\n [19, -17, -8, 5, -1, 11, 11, 16, -20, 4],\n [4, -20, -18, 18, 0, 4, 0, -18, 19, 8],\n [14, 1, 2, -8, 13, 2, 14, -2, -6, -6],\n [5, 18, -18, -4, 9, 7, 13, -5, 20, -10],\n [3, 2, 4, 16, -8, -2, 13, -19, -13, -16],\n [-10, -19, 17, 11, 3, -9, 17, -5, 3, 20],\n [-4, 11, -1, 14, 9, 1, 10, 16, 3, 3],\n [-8, 4, 10, 15, -7, -1, 18, 7, 4, 17]]\nB =\n[[-10, -3, 18, -2, -18, 20, 6, 2, 14],\n [17, -8, 5, -7, 14, 20, -15, -13, 19],\n [-6, -13, -5, 8, 13, 8, 14, -11, -20],\n [-16, -18, 18, -7, 6, 8, -20, -3, -18],\n [5, 0, 3, -1, 8, -3, -18, 12, -3],\n [16, 0, -2, 2, -1, 3, -2, 5, 12],\n [11, 14, 4, 12, 3, -12, 16, 16, -10],\n [0, -4, -5, -16, -11, -8, -15, 16, -5],\n [-15, 8, 4, 2, -10, 8, 0, 5, 20],\n [16, -10, 17, 3, -4, -12, -13, 9, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27858", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[16, 2, -12, -2, -13, -7, 7, 14, -14, -15],\n [9, 16, -5, -20, -4, -14, 14, -16, 6, 9],\n [14, -5, -15, -5, -13, -1, 10, -1, -12, 9],\n [-8, 5, -19, 20, 3, -8, -5, -3, -5, -19],\n [-20, -11, 4, -7, -4, -3, -14, 0, 8, 6],\n [-17, -9, 1, 19, 13, 5, 7, -2, 10, -7],\n [2, -4, 2, -4, -13, 17, -11, 9, -14, -19],\n [1, -16, -18, -12, -16, -1, 8, -15, -17, 15],\n [0, -4, -6, 6, 18, -2, -18, 7, 1, -15]]\nB =\n[[10, -16, -8, 13, -11, 19, 19, 7, 0],\n [16, 15, 7, -8, 15, -20, -12, -1, -4],\n [-18, 11, 14, -15, -15, 4, 7, 18, -20],\n [19, -5, -1, 3, -6, -11, -9, 16, 14],\n [6, -8, 9, -18, 14, -9, 8, 9, 1],\n [-4, 6, 1, -14, -10, -5, 15, 1, 19],\n [16, -18, 14, 17, 20, 17, 3, 13, 14],\n [-10, -6, -7, -4, 0, 7, 17, 1, 13],\n [-20, 2, 11, -17, 20, -15, -5, -11, 14],\n [3, -11, -9, 12, 6, 4, -11, 4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -17, -12, 6, -12, 5, -10, 17, 11, 9],\n [18, -12, -10, 2, -4, 11, -10, 1, 11, -12],\n [-4, 4, -5, 12, -19, 18, -9, 13, 4, -7],\n [-12, 9, -9, -11, 3, 13, -9, 5, 11, 14],\n [-8, -2, -8, 1, 2, -20, -13, 18, 13, -8],\n [20, -11, -18, 7, 6, 0, -10, 3, -9, -14],\n [11, -11, 7, 5, 8, 6, -11, -17, 1, -11],\n [-17, -14, 2, -18, 3, 16, 9, 20, -9, 0],\n [-4, -18, -6, 15, 11, -12, 19, 1, 15, 11],\n [-16, 20, -17, -16, -14, -10, 18, -15, 8, -4]]\nB =\n[[7, 17, -2, -9, 17, -2, 12, -16, -20, 14],\n [14, 10, 15, 19, 14, 19, -9, -3, 7, -8],\n [9, 19, -4, -12, 18, 1, -6, 8, -5, -1],\n [4, 19, 3, -5, -5, 4, -20, 12, -14, 17],\n [7, 18, 7, 11, 3, -13, 11, 7, -18, -14],\n [-15, 8, -7, 19, -2, 4, 16, -3, -17, -20],\n [12, 7, 20, -2, 12, -6, 2, 8, 18, -7],\n [9, -19, -8, 19, 7, 10, -9, -8, -18, 8],\n [9, -9, 0, -19, -5, 11, 7, -12, -4, -2],\n [-14, 15, 19, -20, 15, 18, -20, 3, -11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1828", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[17, 1, 10, -20, 20, -10, -15, -4, -7],\n [11, -1, -17, 18, 1, 8, 16, -8, -6],\n [14, 4, -18, -9, -7, 19, 11, -17, 8],\n [10, 11, 3, -10, 9, -2, 15, -15, -19],\n [18, -2, 19, -3, 20, 15, -1, 16, -20],\n [2, 17, -1, -17, 17, -16, -15, 5, -20],\n [-6, -5, 2, 20, 1, -16, -16, -15, -19],\n [-11, 15, 14, 2, -5, 16, 14, 19, -5],\n [-16, -10, 8, -10, -5, 4, -18, -18, -20]]\nB =\n[[-9, -14, 11, 1, -9, -15, 17, 18, 17],\n [20, 0, 7, 11, 6, -6, 12, 11, 13],\n [-14, -8, 18, -15, -12, -17, 9, 7, 0],\n [-9, -8, -8, 6, 7, -3, 16, -5, 0],\n [-11, -7, 7, 8, -10, 9, 19, 6, -18],\n [-20, 11, 18, 0, -19, -11, 10, -3, -14],\n [-16, 8, -17, -18, -8, -18, -13, -17, 14],\n [-9, 3, 17, -2, 15, 14, -3, 19, 13],\n [4, -14, -10, 17, -2, 14, -1, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2298", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -19, 8, 16, 10, -15, 0, 12, -12, -11],\n [1, 10, -10, -2, 20, -9, 17, -5, -8, 17],\n [-8, -6, -3, -5, 20, -16, 6, -19, 20, 6],\n [-20, -7, 14, 2, 1, 6, 4, 13, 6, 14],\n [0, 18, -18, 4, -17, -6, -18, -10, 7, -18],\n [-3, -12, -6, 19, -13, 19, -7, 17, -8, 18],\n [-11, 9, -16, 1, 14, -16, -9, 14, 0, 5],\n [-20, -11, 17, 3, 10, 2, 0, -19, 10, -19],\n [9, 4, -2, -20, 16, 7, -1, -16, 9, 2],\n [6, -20, -12, -14, 5, -5, -15, 16, -9, 3]]\nB =\n[[-4, -19, 10, 16, 8, -20, -7, 19, -10],\n [11, -1, -19, 10, -16, 11, -12, 20, -11],\n [15, 5, -18, 15, 2, 9, 18, 2, 2],\n [15, 4, -1, 17, 12, 12, 17, -20, 12],\n [17, 3, -12, 10, 17, 7, 2, 9, -3],\n [5, 12, -5, 8, -5, 12, 18, 17, 2],\n [5, -4, 17, 3, -2, 6, -19, -13, -6],\n [20, -8, 6, 1, -20, -16, 8, -6, 9],\n [-15, -15, 2, -16, 1, 20, -1, -1, 18],\n [9, -4, 2, 19, -8, 15, -11, 17, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1737", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[18, -17, -2, 20, 7, 6, 2, -2, -5],\n [14, -16, 3, -16, 8, -15, 20, 20, 16],\n [8, 12, 6, 14, 17, 19, -15, -11, 15],\n [-14, -14, 8, -5, -20, 14, 8, 17, -8],\n [19, -9, 2, -5, -7, -5, -15, 15, 3],\n [6, 4, 19, 15, 8, 10, -18, -8, -17],\n [-10, -6, -19, -6, -15, -8, 14, 19, -8],\n [-9, -5, 20, -1, 19, -8, 13, -2, 6],\n [8, -2, 6, -19, 19, 18, -20, -7, -13],\n [6, 12, 10, 9, 4, 15, 17, -20, 10]]\nB =\n[[14, 0, 13, -4, -12, 8, -13, -2, -15],\n [3, -15, 19, -18, 10, 10, -9, -13, 5],\n [5, -6, -8, 1, -8, -12, 3, -18, 2],\n [-9, 20, -10, -2, -12, 16, -11, -12, 12],\n [-8, -1, -10, 20, 8, -8, -7, -12, 17],\n [-2, -13, -3, 13, 15, -12, -5, -16, -6],\n [3, 18, 4, -5, 1, -5, 12, -16, -14],\n [-3, -15, -9, 12, 13, 0, -3, -7, 9],\n [-18, -8, 16, -2, 16, -8, -6, 5, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3828", "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, -9, 4, -5, -5, -18, 13, 3, 2, 9],\n [0, -4, -3, -18, -9, -5, 17, -7, 6, -3],\n [-1, 14, -4, -1, -15, 5, -14, 17, -9, -4],\n [0, -15, 16, 4, -6, -10, -12, -17, -18, -8],\n [11, -15, -20, -16, -19, 1, 11, 20, -14, 0],\n [-4, -1, -20, 11, 19, 11, -1, -11, -15, 20],\n [12, -11, 4, 3, 10, 8, -9, 16, -12, 8],\n [-18, -17, 0, -15, -19, 16, -1, 12, -7, -1],\n [-19, -14, 16, -9, -5, -4, 10, -14, 5, -20]]\nB =\n[[-19, 10, -1, 16, 12, -8, -20, 12, -18, 16],\n [-2, 19, 11, -16, 16, -15, 15, 16, -8, -9],\n [-15, 9, 16, 7, -11, 7, -15, -12, 3, -3],\n [-17, 2, 6, -17, -8, -10, -10, -2, 12, -7],\n [-8, -14, 12, 11, 16, -13, 13, -2, 15, 13],\n [15, -15, -20, 9, -6, -12, 8, -19, 9, -17],\n [-2, -1, -16, -12, -1, -5, -1, -1, 5, 18],\n [12, -9, 0, 2, -1, 2, -15, -9, 14, -13],\n [6, -5, 11, 8, -14, -5, 8, 4, 15, -17],\n [6, 2, 2, 9, 3, -5, -14, 2, 17, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30806", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -17, -15, -2, 6, 8, -9, 17, -8],\n [7, -16, -4, 6, 5, -17, -13, 5, 12],\n [-9, -8, 0, 16, 4, 18, -18, -2, -14],\n [-4, -8, 3, -13, -13, -19, 9, -18, 5],\n [-4, 17, -18, 12, 9, -6, -13, 9, 2],\n [-9, 18, -13, -12, -13, 17, 12, 12, -10],\n [2, 4, -6, -11, -1, -5, 14, 13, 0],\n [19, -20, 4, -7, -2, -13, 20, -6, -3],\n [-20, 12, -20, 13, -17, -4, -19, 18, -11]]\nB =\n[[16, 5, 6, 18, 4, 8, -3, 1, 5, 5],\n [0, 0, -13, -19, 13, -9, -3, -4, -6, -18],\n [0, -2, 11, -10, -3, 8, -18, -17, 7, -12],\n [17, -14, -20, 14, 13, -12, 5, -13, -2, 5],\n [-11, 9, 19, 15, 10, -13, -8, 16, 9, -6],\n [14, -18, 8, 3, 2, -12, -19, -6, 11, -3],\n [8, 19, -18, 12, -14, 9, 6, 17, 8, 10],\n [-20, 20, 6, 6, 8, -16, -18, 8, 20, 18],\n [-8, 12, -1, -18, -15, -4, -17, 12, 12, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3473", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[20, -7, -14, -15, -18, 16, 1, 17, -13],\n [3, -8, -8, -20, 20, 15, 11, -16, -14],\n [11, 7, 12, -7, -8, 8, 19, -20, 6],\n [9, 13, -20, 13, -14, -20, -3, 14, -2],\n [-8, 2, -19, -18, 1, 15, -13, 2, -13],\n [4, 14, -10, 20, -15, -4, 15, -3, 12],\n [-3, -14, 8, -16, -5, 10, -16, -11, 8],\n [8, -5, -17, -20, -13, 7, -20, 7, -18],\n [-19, 4, 16, -10, -3, 18, 19, -1, -4],\n [-14, -4, -17, 15, 9, -20, 14, -9, -4]]\nB =\n[[-5, 7, 11, 14, -2, 8, 8, -5, -17, 0],\n [-20, -2, 5, -9, -4, 16, 7, 15, 8, -16],\n [17, -18, -6, -18, -8, -16, 0, 20, 2, 1],\n [13, 20, 5, 10, 14, -14, 19, 11, 1, -15],\n [0, 18, 16, 6, -11, 1, -3, -17, 14, 17],\n [17, 15, -17, -11, 11, -11, -11, -10, 18, -12],\n [-8, -3, 16, -10, 7, -15, 12, -7, 8, 18],\n [-6, -16, 1, 10, -2, -3, -15, -12, 9, 10],\n [14, -4, -5, 12, -17, 10, 12, 15, -10, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1406", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[15, -16, 0, -8, -17, 14, 5, 5, -2, 16],\n [-10, -19, 10, -3, -10, -5, -19, 11, 1, 15],\n [-13, 15, 4, 19, 10, -17, 18, -11, 6, 20],\n [17, -4, 17, 4, -4, -8, 0, -6, 3, -14],\n [17, 19, 1, -11, 12, -9, -13, 19, 1, 18],\n [18, -5, 13, -5, -7, -15, -11, 3, 6, -12],\n [-5, -19, 10, -2, -10, 1, 8, 10, -13, -11],\n [-15, 10, 14, 19, 8, 0, 20, -16, -16, 3],\n [-6, 7, 13, -8, 11, 1, 8, -18, -16, -10],\n [20, 5, -12, -10, -20, 17, 7, 2, 10, -19]]\nB =\n[[-3, -5, -4, -4, 14, 10, 14, 3, 20],\n [16, 9, -3, 6, -5, -1, 20, 7, 0],\n [20, 12, -12, 3, -8, 9, 12, 3, -1],\n [-20, 2, 12, -4, -19, 10, 10, -5, 16],\n [16, -14, 15, -20, 9, -3, 18, 5, -10],\n [-20, 17, -16, 1, -8, -4, -14, 17, -14],\n [-9, 17, 2, -13, -6, 9, -12, 0, -7],\n [-13, 15, -12, 5, -1, 17, -15, 13, 2],\n [18, 12, 0, 20, 5, -16, -12, 12, 4],\n [-4, 19, -2, -10, -13, -15, -15, -13, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2838", "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, 20, 6, -1, 3, 17, -16, -5, 18],\n [12, -11, -16, -2, 20, 0, -18, 7, 20],\n [-2, -5, -19, -13, 17, -9, 3, -20, -3],\n [2, 18, 6, -15, 7, 2, 13, 4, -10],\n [-20, 17, -11, -12, 5, -11, -3, -12, 5],\n [-12, 15, -6, 3, 19, -19, -17, 17, 10],\n [-1, 18, 5, -16, -17, 1, -15, 16, 10],\n [-16, -14, -16, -17, 6, -12, 16, -19, -2],\n [18, -4, -4, 19, 3, -8, 7, -7, 2],\n [2, -11, 17, -4, 6, -10, -2, 6, 15]]\nB =\n[[-5, 2, 12, 1, -7, -8, 1, -14, 17],\n [-20, 12, 1, 2, -6, -6, 10, 7, -18],\n [4, 12, 12, 2, 7, -5, 16, -16, -10],\n [-9, 0, -3, -7, 12, 0, 5, 4, 19],\n [4, 14, -1, -19, 20, -9, 11, 12, 10],\n [12, -1, 20, 16, 16, 19, -7, 15, -9],\n [5, 13, -15, -8, 1, 14, -2, 16, 2],\n [11, -10, -17, -9, 18, 9, -11, 3, 2],\n [-20, -17, 7, -18, -19, 20, -15, -4, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26538", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 19, 0, 10, -9, 8, -8, 5, 12, 13],\n [-1, -11, -20, 8, 1, -20, -13, -12, 2, -1],\n [13, -5, 1, 2, -20, -7, 2, 17, 19, -13],\n [11, 19, -19, -8, 6, -14, -18, 0, -13, -20],\n [-4, 5, 8, -13, 17, -13, -13, 4, 6, 1],\n [-18, 17, 3, 12, 14, 19, 8, -13, -10, -5],\n [12, -10, 8, 3, -19, -16, 3, -14, 10, 9],\n [-15, -16, -6, 6, 14, -12, 2, -4, 2, 18],\n [8, 18, -10, -8, -9, -19, -10, -7, 1, 0]]\nB =\n[[16, 15, 4, -18, -19, 6, 12, -3, -10, -14],\n [16, 15, 6, 1, 10, 19, -15, 12, -14, -15],\n [-20, 18, 17, 8, -10, 7, 19, -6, 9, 2],\n [-9, 7, 10, 9, 18, -5, 9, -17, 12, 12],\n [7, 0, -6, 5, -7, -6, -19, -5, 16, -10],\n [-10, 12, -19, 12, -18, -1, 12, 5, 13, -7],\n [8, -19, -13, 6, -13, -14, -10, 18, 9, 18],\n [0, 0, -14, -1, -7, -1, -16, 10, -9, -9],\n [-19, 5, -17, 9, 13, 16, -1, -19, 14, -6],\n [-7, 15, 9, 6, -19, 0, -7, 6, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1846", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[14, -13, -9, 7, 20, 12, 12, -12, -6, -11],\n [-19, -18, 2, -11, -2, 20, -3, 14, 20, -12],\n [10, 9, 16, -9, -4, 6, 0, 6, -7, 20],\n [-8, -18, 3, 11, 16, -13, 14, 2, -5, 15],\n [-12, 18, -3, 10, 17, 16, 13, 20, -15, 15],\n [-7, 20, 3, 12, -2, 8, -15, -18, -3, 0],\n [8, 15, 10, -13, 11, -5, 1, -19, -6, 19],\n [-4, -8, 14, 4, -11, -10, 12, -7, 13, 1],\n [-17, 5, -20, -11, 15, -19, 8, 4, 2, 9],\n [4, -8, 19, 13, 14, -6, 18, -1, 1, 4]]\nB =\n[[-7, -2, 1, 2, -20, 18, 9, -16, 9],\n [-14, -8, 10, -14, 8, 4, -8, -6, 9],\n [-14, -16, -7, 9, 2, -5, 3, 0, 9],\n [-9, 19, 9, 17, 1, -19, 2, 2, 1],\n [9, 6, 13, -10, 8, 16, -15, -5, -1],\n [-11, 17, 16, -11, 4, 1, 11, -4, 5],\n [-5, -11, -4, -19, -19, 8, -17, 9, -9],\n [13, -7, 3, 3, -3, 4, 4, 20, 4],\n [7, 9, 4, 3, 19, 18, -8, -19, 13],\n [-5, 3, -19, 8, 18, 18, -4, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28893", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-8, -16, -6, -19, -15, 15, 2, -8, -19],\n [-16, 19, -5, 18, 14, 20, 13, -2, 5],\n [-4, 14, -9, 14, 16, -15, -11, 2, -2],\n [-13, -12, -18, 12, -19, 13, 14, -3, 6],\n [6, 17, 18, -4, -12, 11, 2, -7, -10],\n [-17, 17, -5, 15, 4, -16, -11, -16, 20],\n [-3, 2, 17, -7, 2, 14, 12, 17, -20],\n [-15, 0, 6, -16, 6, -15, 19, 4, -16],\n [-6, 17, -4, -4, 12, -3, 15, -18, 4]]\nB =\n[[14, -1, 15, 10, 0, 16, 13, 17, 16],\n [-20, 10, 2, 17, -10, 18, -1, 16, -14],\n [14, -19, 12, 19, 3, 18, -11, -12, 12],\n [0, -7, 2, -9, 1, 7, 6, -11, -3],\n [3, -18, -17, 9, 0, 1, 7, -12, 20],\n [20, -5, 16, -16, -7, -7, -5, 18, -17],\n [16, -7, 20, 2, -12, 3, -10, 7, -2],\n [-2, -9, 13, -9, -18, 9, 14, -6, 1],\n [-12, 7, 8, 18, 18, 18, -4, -17, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, -19, 16, -11, -3, 7, 14, 14, 9, 0],\n [4, -8, -14, -15, -1, -16, 17, 19, 4, -3],\n [3, -6, -13, -8, 18, 4, 2, -16, 1, 1],\n [4, -20, -17, 11, 5, 15, -6, 14, 17, 6],\n [-7, 13, 4, 6, 0, 14, -15, 14, 5, -6],\n [-16, 5, 12, 4, -4, -1, -19, -13, -2, 8],\n [-2, -12, -13, -6, 13, -17, 6, 17, -8, 11],\n [14, 15, -11, 2, 2, -17, -16, -17, 9, 20],\n [12, 19, -8, -3, 11, 12, -14, -7, 19, -7],\n [-11, 20, 18, 16, -3, -2, 19, 16, -18, -14]]\nB =\n[[-14, 17, -15, -11, 15, 16, 6, -20, -20, 0],\n [16, 7, 18, 15, -19, -19, -17, -19, -20, 19],\n [-3, 20, 13, 6, 15, 18, 5, -10, 19, -18],\n [7, 15, -5, 14, 1, -5, 12, -8, 7, -5],\n [-19, 5, 7, -18, 0, 11, -15, -16, 3, -20],\n [2, -5, -13, 4, -10, -9, -13, -11, 14, 17],\n [0, -3, -3, 5, -1, 4, 10, -3, -5, -3],\n [-7, -14, 17, 8, 2, 13, -4, -3, -2, -19],\n [8, -19, -3, 18, 15, 15, 0, 12, -19, -11],\n [-6, -9, -18, -17, -12, -11, 10, 16, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38216", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, 9, 14, -3, -15, -8, 17, -9, -14],\n [-7, -12, 14, -14, 18, 0, -2, 6, -19],\n [-7, 16, 12, -9, 0, 9, 1, -19, 8],\n [3, 11, -9, -14, -19, 19, -2, -3, 13],\n [-19, 17, 19, -2, -15, 20, -4, 2, 19],\n [-12, 16, 17, 0, 0, 6, -10, 18, 9],\n [7, -1, 17, -17, -3, 8, 15, 6, -20],\n [14, -16, -15, 15, -16, 11, 18, 10, 19],\n [-11, 10, -13, 6, 8, -7, 2, -17, 13]]\nB =\n[[20, 17, 6, -2, 10, -18, 8, -8, 6, 11],\n [16, -18, 18, -15, -18, -8, -10, 6, -19, 19],\n [-9, 19, -9, 2, 10, -11, 14, -15, 4, 10],\n [9, -6, -18, -3, -4, -7, -5, 6, 16, 12],\n [-1, 4, -7, 16, -16, 16, -11, -11, -12, -7],\n [12, 8, 3, -15, 5, 18, -18, 19, 11, 5],\n [-18, -9, -7, -2, -17, -9, 14, 2, -18, -18],\n [18, -5, -8, -2, 7, 17, -12, -4, -14, -13],\n [16, -9, 7, -19, 7, 4, 6, 14, -6, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-780", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 2) when matrix A is multiplied by matrix B?\nA =\n[[12, 2, 6, 17, -13, 17, -17, -16, -5],\n [-3, -3, -13, 8, 0, 18, 6, -19, -17],\n [-9, -5, 4, 2, -4, -20, 0, 15, -19],\n [2, 19, -19, -11, -12, 8, 5, 15, 8],\n [-17, 0, 12, 10, 7, 15, 12, -17, -17],\n [12, -7, -12, 3, 4, -14, 7, -16, -8],\n [-19, -1, -9, 6, -14, 13, 0, -3, -11],\n [17, 18, 0, -5, -1, 19, 3, 0, 10],\n [-11, -1, -7, -2, 9, -5, 1, -1, -15]]\nB =\n[[12, 20, -2, -16, -14, 13, -1, -6, 17],\n [-20, -16, 13, 0, -7, -4, -9, 6, -15],\n [18, 4, 6, -19, 1, 11, -4, 16, -19],\n [5, 12, -20, 19, 15, 18, 4, -8, 18],\n [15, -9, 0, 2, -3, -8, -2, 14, 13],\n [-20, 1, 7, -17, 16, -14, -10, -9, 19],\n [18, 14, 13, -3, -11, -6, 5, -18, -8],\n [13, -4, -20, -7, -20, 3, -10, -18, -8],\n [1, 20, 20, 9, 4, -14, 4, 18, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-397", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-19, 13, 1, -20, -3, -5, -11, 10, -8],\n [13, 13, -9, 16, 19, -4, 20, -6, -8],\n [-13, -4, -10, 19, -20, 11, -11, -6, -18],\n [-12, -13, -11, -13, -5, -10, 2, 1, 19],\n [-3, 18, -18, -13, -16, 6, -16, -2, -4],\n [-3, -19, -14, -5, -14, -3, 5, 8, -5],\n [18, 9, 4, -13, -7, 1, -7, 6, 14],\n [19, -9, 0, -10, -18, -12, -2, 2, -5],\n [-17, 11, -20, -17, 5, 6, 19, -5, 9],\n [17, 12, -5, 12, -1, 10, 6, 11, 1]]\nB =\n[[15, 6, 4, -19, 17, 2, -9, 16, 16],\n [0, -10, 0, 16, -17, 5, -1, -14, 17],\n [6, -4, 11, -11, -10, -3, -19, 14, -15],\n [-18, -14, 14, -8, 17, -19, -19, -13, -12],\n [13, 18, 10, 8, 15, 1, 2, -8, 14],\n [-18, -12, -3, 5, 8, -9, 18, 2, -2],\n [3, 9, 10, -2, 0, -11, -17, -3, 16],\n [-1, 15, 11, 6, 20, 3, 8, 3, 8],\n [18, -3, -11, -12, -10, -9, -19, 5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2883", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 14, -18, -15, 2, 14, -6, -13, 11],\n [13, -10, -18, 8, -11, -3, -3, -9, 6],\n [-2, 20, 12, 4, -19, -19, -16, 1, 12],\n [-16, 7, -7, 19, -11, 20, -6, -11, -17],\n [-3, -4, 10, 12, 4, -9, 0, -4, -1],\n [8, -18, -14, 12, 5, -1, 16, 11, 14],\n [0, 20, -13, -19, -5, 6, 15, -11, 7],\n [-4, 4, -6, -3, 7, -19, 19, 10, 10],\n [4, -20, -3, -5, 16, 20, 16, -14, -15],\n [-7, 1, 10, -11, 19, 15, 20, 17, 13]]\nB =\n[[-18, 2, -4, 8, -20, -18, -7, -10, 9, 0],\n [-5, -12, -19, 5, -18, -6, -9, -2, 20, -7],\n [-6, 2, -10, -18, -20, -17, 0, 4, -1, -11],\n [-3, 12, 14, 4, -18, -8, 14, 4, -3, 9],\n [19, 9, 3, 5, -20, 12, -13, -9, -13, -10],\n [-7, -3, 19, -20, 0, -11, 16, 8, 19, 3],\n [15, -3, -6, 11, 17, -1, 13, -12, 20, 13],\n [14, 6, -3, 0, -3, 6, 10, 7, 12, -6],\n [15, -2, 14, 11, 18, -9, 8, 13, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9278", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-13, -9, 13, -5, -12, 6, 14, -10, -2],\n [10, -6, 6, 12, -14, 2, 15, 1, -20],\n [6, -10, -9, 0, -13, -8, 16, 12, -19],\n [-12, -8, 5, -12, -6, -14, 16, -12, -7],\n [9, -1, 2, -6, 10, -17, 4, -2, 16],\n [13, -20, 20, 10, 19, 14, 6, 0, -13],\n [-3, 2, 20, 15, 8, -5, -11, -4, 1],\n [19, -19, 9, 18, 18, -2, -11, -1, 3],\n [-15, -3, -5, 18, 19, 19, -5, 19, -6]]\nB =\n[[19, -15, 12, -8, -17, 11, 8, -14, 12],\n [-16, 19, -17, -14, -5, 16, -10, -16, 8],\n [4, -18, 11, 9, -1, 9, -18, -6, 20],\n [-7, 19, -11, -4, -6, 8, 13, 14, -12],\n [-4, -19, 5, 17, 7, 9, -12, 7, -5],\n [3, 1, -1, -7, 11, -11, -19, -14, -20],\n [16, -6, -10, -1, 20, 12, 17, -1, -11],\n [11, 15, -9, 4, -12, -4, -7, 3, 20],\n [-18, 20, -5, -3, 18, -7, -11, -11, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[-18, 1, -19, 18, -9, -20, 16, -8, 11, 4],\n [17, -16, 16, -3, -11, -2, 13, 9, 11, -10],\n [1, 9, -20, -15, -7, -18, 18, -6, 10, -2],\n [1, -14, 6, 14, -16, 14, 15, 16, 2, 15],\n [-17, -19, 16, 14, -17, -17, -15, -4, -17, 1],\n [0, -9, -14, 7, -8, 12, 19, -8, -17, 4],\n [-1, 17, 14, -12, 9, 18, 2, -10, -6, 1],\n [-4, -9, 14, 13, -20, 11, -17, 3, -14, -9],\n [1, 14, 0, 8, -4, 7, 20, -4, -17, 20]]\nB =\n[[-15, -6, 3, -13, 20, 6, 10, -12, -3, -19],\n [1, -1, -17, 17, -8, -1, -15, -6, -13, 9],\n [15, 15, -18, 6, 9, 8, -5, 19, 17, -1],\n [-5, 0, -3, 20, 10, -19, 3, -15, -4, 5],\n [16, -19, 5, 16, -20, -19, 12, -10, 9, 13],\n [6, 13, -14, 18, 18, -19, 9, -18, -19, 9],\n [16, 8, 14, 17, 1, 16, -3, 19, 13, 17],\n [9, -19, -1, -5, -17, -8, -7, -12, -7, -10],\n [-11, 9, -14, -15, -4, -8, -17, 5, 11, -18],\n [-10, -1, 8, -19, -17, 11, 0, -4, -8, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "831", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 5) of the result:\nA =\n[[-18, 10, 10, -20, 7, 2, -16, -20, -5],\n [-10, 15, 16, -5, -9, 9, -17, 20, 17],\n [-13, -13, 0, 19, -13, 8, -6, -7, 17],\n [-11, 6, 19, 6, 19, 14, 15, -10, -8],\n [14, 0, 16, -9, 4, 7, -3, -11, 18],\n [-18, -16, -9, -7, 20, 11, 12, -15, 9],\n [-15, 10, -19, 5, 11, -16, 20, -5, -9],\n [-6, 0, 16, 0, 4, -4, -13, 9, 12],\n [-19, 12, 7, 5, 20, -20, 14, 18, -1],\n [-8, 10, 17, 2, -9, -15, 3, 13, 12]]\nB =\n[[-14, -7, 15, -5, 2, -3, 8, -14, -17],\n [4, 12, 3, 2, 0, 18, 0, 6, -4],\n [5, -2, 12, -14, 10, 18, -6, -19, -19],\n [-4, 13, 4, -10, -12, -14, -10, -17, 16],\n [5, 13, -5, 20, 9, -5, -15, 12, -6],\n [-1, -9, 3, 19, 11, 20, 12, -9, -6],\n [-13, -17, 6, 16, -7, 18, -6, -2, -7],\n [-14, -15, 13, 3, 4, 20, 4, -6, -18],\n [15, -19, 1, 7, 11, 18, 4, -20, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-616", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-16, 14, -10, -6, -16, 17, -17, -11, -12],\n [12, -15, 6, 7, 13, 8, 11, 1, -6],\n [6, -11, 4, -10, -13, 0, -13, 16, 3],\n [2, 3, -8, 18, -16, -6, 3, -10, -4],\n [-13, 3, 17, 6, -14, 3, 6, 16, -18],\n [1, 17, 1, 19, 8, -11, -4, -14, 14],\n [19, -18, -8, -15, -4, -19, 18, 17, 12],\n [2, 12, 4, -7, 14, 9, -12, 9, -14],\n [-13, -14, 6, 4, 3, 7, 13, -11, 15],\n [-6, 17, -18, -9, 12, 5, 20, 20, -15]]\nB =\n[[-18, 6, 20, -7, -10, -4, -5, -20, -15, -6],\n [12, -14, -13, 9, -14, 19, -7, -18, 5, 13],\n [9, 9, 8, 16, 4, -17, -20, -13, -19, -4],\n [20, 2, 0, 8, -16, 11, 0, -12, -14, -3],\n [-6, 4, -5, -1, 16, 13, -16, 12, -20, -14],\n [-17, -17, -8, 14, -3, -10, -8, 10, 18, -15],\n [17, -10, 0, 5, -6, 3, -3, -13, 20, 14],\n [7, 8, -19, -3, -20, -19, -7, 7, 0, -1],\n [13, 13, 18, -17, 7, 18, -20, -13, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36251", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-14, -16, -19, 20, -17, -11, 14, -20, 18, -18],\n [5, -4, -13, 9, -13, 8, -3, 3, -12, -1],\n [-8, 16, -2, -16, 15, 3, 13, -13, -17, 17],\n [-13, -12, 20, 20, 10, 10, 19, -14, 4, -8],\n [-16, -3, -14, 17, -6, 12, 10, -12, -2, -15],\n [15, 11, 7, 17, -11, 14, 3, 13, -12, 6],\n [13, -6, 6, 6, 11, 6, 5, -4, -5, 14],\n [5, 17, 9, 16, -7, -3, 7, 19, -5, -19],\n [-1, 9, -12, -20, 6, -12, -1, 6, 18, 14]]\nB =\n[[12, -8, -7, -20, -14, 12, 18, 13, 7],\n [-14, 3, -6, 3, 6, 18, -18, -11, -9],\n [20, 8, -13, -11, -4, -12, -6, -17, 0],\n [-14, -13, -1, -14, -15, -12, -7, 15, 8],\n [-18, 10, 3, 3, 15, 14, 4, 18, 0],\n [-6, 13, -12, -18, -11, -6, -5, -8, -20],\n [12, -13, -5, 14, -7, 20, 6, -20, 18],\n [9, 14, -11, 10, -9, 19, 14, 13, 18],\n [11, -9, 7, -2, 3, -1, 1, -10, 7],\n [19, -1, -16, 19, -14, 1, 16, 20, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 8, 15, 14, 1, -3, 1, -2, 13],\n [-12, -11, -2, 17, -12, 7, 9, 4, -3],\n [5, -2, 6, 15, -17, 5, -18, 15, -14],\n [-11, -17, -14, 1, 9, 1, 8, -10, -5],\n [-15, 16, -8, 12, -13, -10, 12, 12, 19],\n [6, 18, -3, 11, 20, 3, 1, -18, -18],\n [-7, 11, -12, -5, 4, -16, -8, 10, 0],\n [19, -12, 0, -12, -11, 20, -9, -10, -1],\n [18, 12, -14, -20, -7, 0, -13, -4, -6]]\nB =\n[[-19, -8, 8, 7, -13, 14, 3, -14, 7],\n [1, 5, -4, 17, -15, -10, 17, -19, 11],\n [5, 10, 11, 14, -19, -18, 12, -14, 0],\n [4, -5, 2, -4, 12, -3, 18, 2, -12],\n [-18, 14, 3, -15, -2, -7, -18, -15, -4],\n [15, 1, -17, -11, 11, -17, -8, -2, 17],\n [5, 9, 10, 17, -9, -2, 2, 20, -11],\n [-6, -4, -8, 3, -5, 18, 17, 9, -6],\n [-17, -11, 19, 11, 0, 8, 9, -14, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1178", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the product of the following matrices:\nA =\n[[-11, 1, -4, -3, -16, 18, -4, 13, -17],\n [20, -13, 5, 4, 15, 18, -10, -18, 19],\n [7, 18, 4, 1, -8, -17, 7, -2, -18],\n [6, -10, -15, 10, 8, -13, -10, -12, 10],\n [-20, -14, -11, -12, -8, 6, -3, -5, -17],\n [9, 17, -1, 20, -9, 7, -20, -12, 12],\n [-20, -12, 1, -12, -16, -19, -7, -9, 8],\n [-5, -12, 11, 3, -1, -1, -16, -1, -5],\n [-2, -9, -4, 13, 6, 20, 5, 13, 0]]\nB =\n[[20, -18, 20, 15, 8, -2, 0, -9, 2, 7],\n [-9, -19, 9, -9, 18, 18, -3, 3, -9, -3],\n [-15, -13, -6, -14, 8, 4, -8, 11, -9, 4],\n [-2, -5, -9, 14, 15, 3, 12, 15, -17, 14],\n [-13, -13, -14, 19, 4, 14, -6, -3, -10, 9],\n [8, 2, 13, -2, -5, -15, 20, -6, -12, 8],\n [-19, 12, 17, 2, -8, -1, -14, -4, 0, 7],\n [9, 2, 0, -20, -4, 11, 3, -14, 14, 15],\n [-7, -9, 18, 2, -7, 4, 1, 16, 8, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-404", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 7) when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 1, -6, 0, 4, -8, -14, -3, -9],\n [5, -16, -13, 15, -16, 1, 2, -13, -2, 13],\n [-15, -4, -4, -6, 18, 16, 10, 1, 4, -2],\n [-14, -19, -6, 1, 17, -14, 20, 2, -19, 12],\n [-3, -14, 3, -10, -9, -3, 16, -20, -20, 6],\n [-12, -20, 7, -9, -5, -14, 14, 20, 2, 14],\n [-5, -13, -5, -15, 15, 10, 7, 14, -4, 9],\n [-12, 2, -20, -9, -4, 12, 1, -11, 5, -7],\n [4, -10, -2, 7, 6, -10, 1, 4, 9, -2]]\nB =\n[[18, -14, -15, -12, -3, 10, -15, 1, -12],\n [10, 1, 0, 14, 8, 0, 14, 2, 19],\n [2, -3, 2, -20, -1, -5, -12, 4, 17],\n [4, 17, -14, -5, 14, 10, -20, -1, 6],\n [-20, 16, 3, -16, -10, 14, 8, 2, -11],\n [9, 10, 3, -7, -10, -20, 5, -1, -19],\n [12, -4, -15, -9, -6, -18, 1, 17, 0],\n [14, 6, -15, -10, -4, 15, 10, -8, 8],\n [17, -1, 17, 14, 18, -20, -8, 6, -18],\n [-1, 7, -15, -12, 12, -17, -8, 17, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -20, 11, -2, -4, 18, 20, -9, -1],\n [1, 10, 13, 2, -2, -19, -19, 17, 18],\n [16, -9, 7, -10, 8, 0, 8, 8, 19],\n [-9, -19, 19, 17, 12, -11, 20, -10, -5],\n [-13, -17, 7, -4, -3, -16, -13, -16, 14],\n [2, 1, -19, 15, -18, 7, 2, -12, -2],\n [2, -8, -12, -16, 19, 9, 2, 12, 0],\n [-8, 20, 20, -9, 1, -17, -12, 10, -19],\n [15, -10, 8, 15, 13, -12, -9, 0, -16],\n [-14, 16, -18, -6, -2, -18, -1, -6, 17]]\nB =\n[[-10, -7, -17, 14, -13, 0, 14, -17, 15, -7],\n [-18, -1, -13, -7, -20, -1, -7, 7, 18, -12],\n [2, -5, 6, 19, -13, 7, -3, 13, -19, 3],\n [-11, 19, -13, -16, -18, 12, 9, 18, -14, 0],\n [17, -8, 4, -19, -19, -19, -6, -6, -3, -16],\n [5, 9, -7, -16, 19, 0, -13, -15, 5, -17],\n [9, 14, 6, 6, -16, 19, -10, 14, -10, 17],\n [17, -16, 16, 16, 5, 12, 12, 2, -14, 11],\n [-12, -5, -12, 7, 2, -9, -12, -9, -12, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[15, 12, -8, -19, 19, 4, -8, -8, 12],\n [6, 19, 16, -2, 1, -4, -19, -9, 12],\n [7, 5, 4, 7, 10, 10, 6, -20, 14],\n [12, -20, -12, 12, 16, -6, -6, 8, 20],\n [0, -3, -5, 8, 20, 6, -6, -12, 7],\n [-19, 0, -10, 11, 1, 14, 20, -5, 10],\n [-11, 19, 15, 0, -13, 12, 19, 1, 9],\n [2, -6, 5, -5, -11, 15, 7, 5, 10],\n [-3, -4, 11, 18, -16, 8, 15, 18, -10]]\nB =\n[[12, -17, 12, -20, 0, -4, 13, 8, -18],\n [3, 13, -19, 10, 19, -14, 8, -10, 4],\n [-2, -10, 14, 12, -16, 14, -18, 10, -9],\n [-17, 11, 3, 15, -19, -16, -9, 4, 20],\n [3, 4, -3, -1, 12, 8, 8, 1, -9],\n [13, -17, -16, -11, 1, 4, -20, -11, -6],\n [19, 10, -4, -9, -16, 17, 18, -12, -4],\n [8, -4, -7, -1, 6, 18, -1, 2, -12],\n [-2, 11, -9, -19, 15, 0, 19, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23544", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 9) of the product matrix AB given:\nA =\n[[-9, -16, -6, 11, -4, 20, 15, -7, 20, -12],\n [-4, -14, 11, -15, -5, -19, -11, -17, -16, 16],\n [18, 5, 9, -19, -3, -14, 2, -1, -6, 7],\n [-18, -18, -9, 13, 15, -13, -12, 14, 3, 3],\n [14, -10, -15, 4, -20, -12, -9, -8, 8, 11],\n [10, 5, 19, 3, -6, -15, 8, 10, -5, -11],\n [19, -17, 8, -13, 19, -10, -20, 16, 2, 9],\n [-6, 8, 3, -12, -10, -6, 17, 5, 16, 3],\n [1, -3, -12, 8, 11, -9, 20, -4, 4, -7],\n [4, 6, -8, 16, -11, -12, -8, -14, -7, 15]]\nB =\n[[19, -16, -8, -1, 7, -6, 18, 0, -4, -15],\n [4, -11, -7, -2, -10, 11, -11, 13, 8, 8],\n [1, -7, -19, -9, 1, -20, -9, -9, -17, -4],\n [-2, -20, -4, 13, -14, 12, -15, -15, 11, 7],\n [16, 8, 9, 1, -16, 8, -19, -11, -1, -3],\n [14, 15, -3, -9, 4, 15, 20, -1, -10, -1],\n [12, -11, 4, -11, 3, 20, 12, 13, -6, 19],\n [3, -6, -11, -16, 1, 16, 10, 2, -10, -11],\n [14, 1, 20, 1, 16, 6, -20, -16, -10, 12],\n [-5, 19, 9, 7, 8, -5, -20, -13, -17, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-3, -2, 15, -12, 5, -19, -18, 7, -1, -2],\n [-2, 20, 16, -6, 20, -15, -20, -8, -18, -13],\n [2, 7, 12, 13, 13, 4, 20, -20, -14, 17],\n [7, -4, 17, 9, -20, 7, 15, -3, -19, 12],\n [-14, 18, -3, -14, -17, -4, -2, -16, 18, 17],\n [16, -8, -9, 16, -17, 4, 10, 19, -6, 7],\n [-10, 8, -16, -19, -1, 1, 19, 6, 0, -1],\n [11, 15, -18, -13, 9, -17, -14, 3, -12, 13],\n [14, -12, 18, -6, -9, -17, -4, -12, 10, 9]]\nB =\n[[17, -3, 0, -4, 14, -4, -4, 4, -8],\n [3, -6, 0, -9, -7, 7, 4, 7, 10],\n [15, -5, 19, 8, -10, 5, 6, 9, 16],\n [-18, -11, 11, -16, -12, 5, 14, -16, -5],\n [-8, 9, -10, 9, 0, -17, -4, 12, 10],\n [-15, 12, 18, 6, 4, -2, -19, -20, -7],\n [-6, 1, -4, 20, 11, 12, -20, 20, -2],\n [17, 14, -17, -10, -18, -19, 15, 2, -10],\n [14, 8, -14, -2, -15, 4, -5, 2, -10],\n [12, -13, 15, 4, 14, -8, -15, 14, 18]]\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[[-17, -5, -10, 3, -7, 19, -13, 9, 10, -15],\n [3, -20, 17, 0, -15, -6, 11, -3, 11, -9],\n [-10, 13, -19, 1, 0, -15, -15, -9, -17, -14],\n [-9, 9, -12, -14, 1, 6, 14, 17, 3, -7],\n [19, 15, -8, 16, -10, 11, -16, -4, -19, 11],\n [2, -16, 19, 17, -13, 6, -19, 19, -14, 19],\n [1, -14, -12, 14, 17, 3, 15, -3, 5, 18],\n [-6, 1, 4, 4, 20, 4, 17, 4, -14, 19],\n [3, -2, 1, 2, -1, -1, -14, 13, -10, -13],\n [17, -10, 4, 10, 16, 5, -11, 12, -14, 15]]\nB =\n[[-1, -6, -5, 14, 0, 14, 19, 13, 18],\n [-20, -12, 20, 9, 0, -3, 1, 5, -9],\n [10, 16, 15, -19, 16, 19, -5, 2, 14],\n [-15, 15, 1, -10, 13, 0, -8, -3, 9],\n [20, 3, -20, 16, 7, -17, -17, -7, -10],\n [2, -9, -17, -20, 19, -11, -14, -19, 2],\n [13, -9, -9, -5, -13, -15, -6, -10, 9],\n [-11, 2, -3, -12, -12, -15, -5, -9, -19],\n [-4, 5, -12, -16, 7, 9, -4, 18, -2],\n [-15, -17, 17, -7, -5, 16, 11, 10, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6295", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-4, -17, 3, -15, 9, -10, 6, -12, 3, -1],\n [-8, 7, 10, 11, 14, 16, -2, -14, -18, 19],\n [9, 10, 19, -12, 13, 1, 6, 6, 12, -15],\n [6, 11, 17, 1, -8, 11, 6, 19, 9, 14],\n [-8, -20, 6, 1, 3, 2, 14, -12, 6, -14],\n [3, -5, 2, -14, 19, 1, 8, -1, 16, -15],\n [10, 6, 20, 16, -12, 4, 17, 12, -8, 16],\n [6, -2, -5, -7, -17, 18, 1, 16, -20, 0],\n [9, 6, 13, 8, -17, -14, 12, -9, 12, 3]]\nB =\n[[17, -20, 13, -4, 19, 1, 6, -6, -6],\n [2, -9, 6, 19, -12, 8, 16, 0, -20],\n [-9, -20, 6, 3, 3, 13, 18, 14, -11],\n [3, 6, -14, -7, 14, -6, 11, 16, -12],\n [18, 12, 12, 17, 11, 0, -16, -10, 8],\n [-13, 6, 20, -9, -14, 14, -15, -2, 15],\n [19, -5, -10, 15, 7, 2, 14, 14, -4],\n [18, -17, -14, -3, 2, 7, 20, 15, 17],\n [-2, 0, 14, -19, -4, -10, -8, 20, 7],\n [-4, 3, 13, 16, -7, -15, 20, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2101", "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, 11, 1, 18, 2, -1, 16, 18, 13, -4],\n [-6, 0, -20, 17, 13, 8, -19, -1, -8, -13],\n [2, -10, 2, 15, 7, -4, -13, -20, 8, -18],\n [-8, 12, 2, 2, 13, 5, -16, -13, -4, 4],\n [2, 7, 13, -13, -2, -8, 5, 18, -15, -8],\n [2, 15, -4, -20, -8, 7, -7, -7, -14, 16],\n [20, -3, 20, -12, 17, -1, 0, 17, 15, 4],\n [-19, 9, -13, 4, 9, 9, -8, 10, 11, 15],\n [20, 8, 13, -2, 5, -16, -1, -7, 8, -18]]\nB =\n[[-1, 4, 20, -16, 8, 20, 20, -19, -15],\n [15, -20, 10, 6, 16, -2, -20, 10, -3],\n [-14, 11, 14, 11, -20, 12, -9, 3, -17],\n [-6, 11, 3, 2, 4, 5, 0, -15, 1],\n [18, 16, -10, 16, 9, 10, 12, -9, 6],\n [-7, -20, -13, -13, 19, 8, 5, 5, -1],\n [-14, 11, -3, 1, 8, 11, -1, 10, 20],\n [-13, 15, -13, -12, -7, 12, -6, 9, 9],\n [19, 10, -16, -2, -10, 16, -11, 15, 12],\n [3, -6, 8, 18, 6, -1, 15, -7, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29300", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[15, 16, 3, 15, 8, -6, 18, -16, 12],\n [18, -20, 13, 19, -13, 3, 2, 15, -8],\n [16, -3, -11, -17, -14, 15, 1, -9, 3],\n [16, -13, -1, -3, 4, 2, 17, -3, -10],\n [18, -7, 1, 17, -6, -16, -16, -2, 13],\n [-5, 0, 11, -2, 3, 14, -3, -7, 1],\n [18, 9, -9, -9, 9, -18, 19, 11, 6],\n [7, -3, 4, -6, 6, -6, 9, -10, -7],\n [7, -13, -10, -7, 1, 4, -11, 15, 18]]\nB =\n[[3, -15, 12, 1, -1, -10, 14, 14, -20],\n [5, -7, -19, -16, 18, -6, 0, 8, 0],\n [17, 15, -7, 12, 2, -13, -1, 17, 17],\n [-20, -17, -7, 1, -9, 4, -14, -14, 18],\n [-15, -2, 2, -11, -13, 15, -14, -18, -13],\n [-8, 10, -8, 5, -19, -18, -6, -19, -4],\n [17, -10, -16, -15, -18, 2, 11, -17, 8],\n [-4, 10, 14, 0, 2, 10, -20, -10, -20],\n [-14, 20, -8, -1, -15, 9, -15, 13, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25817", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 17, 9, 12, 3, 10, -5, 19, -5],\n [6, 15, 1, -6, -20, 7, 12, 15, -6],\n [10, -15, -17, -1, -17, -11, -14, 6, -15],\n [10, 15, 6, -8, -10, -12, -13, -11, -19],\n [3, 14, 13, -10, -20, -16, 6, -14, 16],\n [17, -20, 11, -4, -3, -17, -8, -16, 1],\n [5, -17, 2, -16, -12, -8, -12, -17, 5],\n [-7, -19, 10, 5, -19, 20, 16, -19, 19],\n [7, 2, -14, 18, 19, 1, 15, -20, 13]]\nB =\n[[-17, 20, 14, 10, 12, -16, -10, 11, -20, -15],\n [7, -4, -10, 20, 6, -9, -8, 10, 14, 4],\n [9, 15, 0, 15, 7, 6, -9, -11, 5, 8],\n [-15, 4, -13, -10, -4, 17, -8, 20, -6, -2],\n [-2, -11, 7, 16, 4, -6, 14, -5, 16, 6],\n [-16, 3, -19, 19, 14, 12, 11, 11, -5, 17],\n [2, 5, -16, -14, 13, -11, 1, 0, -2, 18],\n [4, -8, -2, -14, 10, -19, -17, -20, 2, -4],\n [1, 14, -13, -14, -20, 4, 3, 12, -10, 11]]\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 sum of absolute values of all entries of the result:\nA =\n[[8, -20, -13, 8, 10, 14, -14, 10, 11, 9],\n [-9, 14, -11, 5, -16, 2, -12, 12, 16, 9],\n [12, -19, -17, 5, 9, 14, -11, 10, -6, 0],\n [-15, -20, -11, -19, -12, -4, -5, -19, -5, 14],\n [7, -8, -15, 4, 18, 5, -6, -19, 1, 7],\n [-4, 2, -6, 17, 13, 9, -20, 20, -5, 4],\n [2, 12, 13, -12, -5, 16, -16, -9, -16, 2],\n [-13, 14, -5, -1, 7, 9, -10, -4, -11, 3],\n [10, -10, -13, 10, 16, 16, 12, -12, -18, -8]]\nB =\n[[7, 3, -11, 16, -6, 7, 16, -20, -8, -17],\n [19, 9, -18, -1, 14, 6, -9, 20, -5, 11],\n [12, -5, 8, 6, 10, 3, 10, -12, 15, -15],\n [9, 5, 19, -14, -13, -10, -18, -17, 12, -1],\n [-16, 13, -7, -8, 3, 9, 19, -10, -12, -8],\n [-8, 11, -14, -10, -20, 7, -13, -6, -16, 1],\n [-1, -17, 4, -5, 19, 6, 8, -9, -14, 3],\n [-16, 12, 17, 19, -15, -13, 1, -7, -12, -8],\n [11, -7, 14, 4, 10, -1, 16, -14, -11, -15],\n [4, -15, -4, 1, 2, 8, -14, 14, 18, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34429", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 8, 8, -14, 13, -16, -8, -15, 11],\n [15, 12, 12, -2, 20, -3, -7, 0, 18],\n [13, 10, -4, -14, 0, -14, -20, 1, 1],\n [2, 7, 19, 9, -11, -9, -5, 0, -8],\n [-17, 16, 9, 5, -7, 16, 4, 18, 6],\n [-7, -19, -19, 12, -19, 13, 4, 16, 6],\n [5, 1, -14, -8, 7, 7, 3, 14, 12],\n [16, -12, -18, -19, 1, 0, 16, 3, -7],\n [12, -4, 0, -8, 19, -10, -19, 16, 7]]\nB =\n[[-18, -6, 3, -13, -15, 11, 20, 14, -8, 7],\n [-17, 10, -20, 9, -13, 19, -7, 7, 13, 18],\n [-17, 3, 6, -10, 2, 11, -17, -2, -14, 12],\n [-7, -8, -15, -2, -12, 14, 5, -17, 7, 6],\n [-14, -12, 13, -13, -11, -20, -13, 18, 18, -4],\n [-3, 13, 14, -18, -9, -17, 15, -12, 14, -18],\n [4, 5, 16, 6, 7, -2, 3, 16, 19, 17],\n [4, 13, -6, -5, -17, 5, 18, 5, 7, 16],\n [17, 15, -11, 12, -13, 17, 15, 0, -1, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3068", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[17, 7, 11, -9, -12, -6, -8, -19, -1],\n [-7, -6, 8, 0, -11, 20, 17, 0, 14],\n [-4, -17, -7, 19, 11, -3, 13, 11, -7],\n [15, 13, -15, 19, 14, -6, -1, 7, 16],\n [17, 0, 3, -11, 15, -12, 1, 16, -5],\n [3, -17, 2, 1, -19, 7, -2, -1, 7],\n [3, 6, -19, -14, -20, -10, 10, 9, -8],\n [3, -3, -8, -4, 9, -2, -9, 5, -3],\n [-9, -19, -1, -15, -20, 5, -14, 11, 12],\n [-11, 20, -6, 10, 3, 8, -3, -14, 13]]\nB =\n[[-7, -1, 8, 16, 10, -2, 2, -14, -15],\n [14, 8, -8, 18, 4, 13, -2, -17, 3],\n [12, -19, -19, -7, -10, 13, 17, 7, 18],\n [1, 12, 17, 10, -7, 17, -12, 3, 8],\n [-16, 18, 6, -13, 8, -9, -13, 20, 0],\n [-12, -7, -20, 10, -5, 18, 6, -10, -19],\n [10, 3, 18, -18, -17, 9, -18, -17, -8],\n [-7, -11, -7, -4, 1, 16, 0, 4, -18],\n [-2, 11, -6, 20, 3, -12, -11, 11, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-14, 6, -6, 0, -11, 2, -16, -15, 1, 7],\n [-2, -7, -14, -6, 11, 1, 0, -2, -8, 1],\n [-11, 3, -13, -13, 18, -2, -3, 12, 16, 8],\n [11, -13, 11, -9, 1, -1, 5, -4, 13, 10],\n [-3, -18, -3, -1, 0, 14, 9, 15, -17, -6],\n [-14, 11, 12, -8, -4, 19, 17, -15, -17, -6],\n [-13, 13, 9, 2, -12, 3, -13, -15, 4, -8],\n [13, 4, -3, -12, 12, -15, -7, -15, -3, 18],\n [5, 15, 15, -10, -3, -6, 9, 20, 4, -5],\n [-9, -7, -8, 18, 9, 15, -5, -20, 20, 8]]\nB =\n[[6, -8, -4, 7, -1, -16, 3, -12, 12, 13],\n [6, 16, 12, 17, 8, 17, 14, -1, -2, -16],\n [4, 8, 5, -19, -6, -15, -20, -12, -5, -7],\n [-11, -2, -13, -9, -15, 14, -15, -15, 14, -10],\n [17, 6, 5, 7, -13, 4, -2, -5, 5, -6],\n [18, -9, 3, -8, -4, -8, -4, -20, -10, -1],\n [10, 14, 18, -15, 14, 7, 20, -20, -5, -9],\n [7, -6, -13, -17, 10, 9, 14, -15, 17, 0],\n [9, -5, -13, 6, 12, -9, 2, 18, -20, -14],\n [15, 4, 0, 16, -9, 11, 17, -5, -20, 5]]\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[[-7, -15, 20, -1, -18, -9, 12, -20, -2],\n [-19, 2, -13, 13, -17, -13, 6, 5, 12],\n [19, 19, -18, -12, -11, 8, 0, -3, -4],\n [0, -18, 6, 11, 8, 8, 5, -12, 6],\n [-9, -5, -19, 18, 6, -12, -19, -14, -13],\n [17, -15, -2, -6, 7, 9, 6, -11, 10],\n [-20, 11, -5, -15, -19, -19, -18, -2, -17],\n [20, -3, -3, 0, 0, 18, 9, 20, -4],\n [-16, -16, -12, -10, 17, 19, -7, 17, -15]]\nB =\n[[-7, -13, 9, -20, 4, -8, 6, 4, -17],\n [10, -3, -4, -10, -9, -18, -6, -15, -16],\n [10, -13, -11, -18, -9, 7, -9, 9, -2],\n [0, -4, -7, 18, -10, 8, -14, -20, 20],\n [-14, -7, -5, 14, -5, 0, -8, -3, 8],\n [0, -12, 10, 16, -4, 10, 3, -15, 11],\n [10, -3, -12, -18, 16, -14, 5, -8, 13],\n [8, 12, -16, 15, -6, -11, -17, 18, 16],\n [16, 17, 11, 3, -1, 20, 17, 19, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[20, -10, -10, -5, 20, -20, 12, -14, -18, -14],\n [-20, 12, -14, -17, -3, 16, -7, -6, 4, -3],\n [-17, -19, 5, -1, -6, -15, 16, -8, -5, 17],\n [-19, -20, -16, 9, 10, 11, -18, -18, -16, 14],\n [1, 11, 2, 17, -13, -17, -15, 6, -2, 8],\n [17, -15, -18, 11, -5, 12, -19, 5, 14, 7],\n [-10, 3, -5, 4, 2, 18, 14, 4, 20, 18],\n [12, 1, -11, -20, 17, 1, 11, 2, 9, 2],\n [-9, -2, -14, 6, 5, -3, 7, -10, -19, -4],\n [8, 11, -6, -3, 7, 6, 20, 12, -11, 3]]\nB =\n[[13, 6, -1, 20, 4, 5, 0, -8, 12, -11],\n [7, 12, -10, -7, -1, 15, 20, -1, -13, -6],\n [12, -2, -9, -4, 12, -1, 10, 17, -2, -2],\n [-8, 17, -20, -10, 6, 16, 18, -20, -6, -3],\n [4, -20, -2, 13, -11, -9, 18, -19, 11, 5],\n [-1, -15, -14, -19, -4, 5, 10, 13, -3, 20],\n [-7, -16, 2, -20, -1, -19, 16, -20, -11, -16],\n [20, -8, -17, 3, 6, 15, 15, -19, 11, -4],\n [-9, -9, 0, -13, 1, -11, -1, 7, 4, 7],\n [-17, 5, -8, -2, 13, -5, -17, -1, 20, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 5) of the result:\nA =\n[[17, 9, -15, 17, -8, 15, -4, 6, 14],\n [19, 12, -3, -1, 12, 10, 16, -2, 12],\n [-4, 12, 15, -16, 19, 6, -14, -7, -17],\n [-3, 13, -5, 6, 17, -1, -2, -20, 2],\n [-12, 7, -1, -5, -8, 12, -18, -6, -5],\n [9, 4, -7, -20, 12, 16, 8, 16, -13],\n [-20, 3, -20, -11, -3, 0, -11, 1, -12],\n [-12, 19, 18, 0, 10, -19, 3, 12, -10],\n [-20, -13, -12, 0, 1, 8, 19, -18, 4],\n [-3, -10, 9, 4, -10, 13, 3, 11, -18]]\nB =\n[[4, -1, -1, -4, -1, -3, -7, 13, -5, 11],\n [-13, -5, 18, 17, -17, 14, 7, -7, -16, -19],\n [3, -18, 2, -10, 17, 14, -20, -15, -15, 19],\n [5, 14, -8, 4, 1, -4, -7, -18, -17, 14],\n [7, -19, 17, -17, -9, 13, 16, 20, 9, 0],\n [7, -16, 12, 13, 11, 6, -18, 19, -17, 15],\n [15, 20, -18, -20, 18, 19, 18, 6, -18, 15],\n [16, 9, -20, -11, -18, 17, -18, 16, 13, -1],\n [-10, -2, 6, 3, -15, -20, -2, -11, 11, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-316", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[15, -19, 16, -7, -8, -4, 6, 8, -8],\n [4, 3, 15, 2, 5, 15, -15, -5, -11],\n [18, 6, -19, -11, -13, -12, -8, -13, 6],\n [0, 20, 13, 8, 9, -5, -20, 8, 9],\n [1, -6, -1, 17, 2, 10, -4, 14, -19],\n [10, 5, 10, -13, -5, -9, -2, -8, -20],\n [-8, -17, 10, -13, 6, -13, 3, 1, 19],\n [8, -12, -4, -20, 11, -1, -20, 4, 20],\n [6, 2, -3, 10, 7, 0, -9, 16, 3]]\nB =\n[[18, 12, -4, 12, -5, 6, 20, 7, 15, -14],\n [13, -20, -17, 5, -1, -8, 14, -11, -13, -3],\n [-4, -16, 9, 10, 18, 3, -4, 13, 14, -6],\n [-10, 13, -13, -6, 15, 16, 2, 18, 5, 13],\n [-10, -9, -13, -13, 20, -16, -11, -18, 16, 1],\n [4, -17, 16, -13, 9, -12, -6, -20, -8, -17],\n [-5, -20, -7, 6, 5, 11, 19, -19, -5, 7],\n [5, -10, 2, 9, 10, -19, -1, 8, -11, -3],\n [10, -17, 6, -3, 10, -14, -2, 18, -19, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5088", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 7, 17, -18, 8, 6, -18, 9, -3],\n [-13, -11, 1, 3, -18, -7, 3, 6, 13],\n [10, 6, 8, 8, -9, -7, 6, -19, 16],\n [-3, -8, -12, 8, -11, -1, 16, 8, -15],\n [20, 5, 1, 17, 5, -4, -20, 10, -12],\n [5, -15, -19, 6, -20, 9, -3, 13, 0],\n [-20, 11, 13, -7, -16, 15, 11, -12, 14],\n [4, -10, 20, -8, 9, 13, 11, 9, -3],\n [18, -18, -14, 18, 13, -13, 11, 19, -7],\n [-16, -14, -11, -1, 0, 7, 8, -15, 17]]\nB =\n[[20, -18, 16, -4, 12, -11, 16, 12, 7],\n [2, -11, -13, -5, 11, 4, 16, -6, -5],\n [-4, 6, 5, -13, 20, 20, -10, 6, -12],\n [-10, -14, 7, 9, 15, -12, 14, -8, -17],\n [-11, 5, -18, -4, 6, 1, 15, -13, 12],\n [5, 10, -10, 8, 8, 17, 16, -6, -6],\n [-14, 8, 12, -5, 13, 0, -14, 8, -12],\n [-14, -7, 9, 3, 13, -13, -20, 13, -1],\n [10, -6, -6, 13, -16, 1, -9, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1538", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[1, -13, 16, 7, 0, -10, -10, 2, -8],\n [6, 2, 12, 5, 15, 12, 17, -5, -11],\n [20, -4, 2, -20, 8, 4, -15, -11, 19],\n [-7, 2, -2, 10, 18, 18, 17, -2, -20],\n [17, -8, 13, -4, 11, 13, 12, 7, 8],\n [16, 3, -5, -8, 5, -14, -7, 11, 20],\n [-10, 11, -10, -1, 13, 1, 2, 8, -9],\n [18, 10, 8, 10, -9, 14, 20, 6, -6],\n [9, -14, 15, 3, -3, 3, 11, -9, 7],\n [-10, -18, 16, -18, 8, 11, 17, 10, -20]]\nB =\n[[16, 0, 20, -1, -10, -11, -18, -7, 10, 14],\n [-12, -15, 8, 1, -18, -19, 7, 16, -16, -12],\n [11, -4, -10, 17, 14, -3, 15, -2, 4, 19],\n [10, 2, -7, 6, 14, -8, 15, 3, 12, -14],\n [-12, 0, 11, -19, 4, -20, -10, -5, 2, -6],\n [6, -5, 12, 18, -13, -20, -2, 5, 16, -18],\n [3, 1, -20, 18, -12, 12, 2, 13, 14, -11],\n [11, -19, -14, 3, -18, -9, 18, 15, 6, -20],\n [15, 11, 6, 10, 12, 11, -17, 4, 18, 8]]\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[[-12, -7, -16, -4, 11, -15, -16, 8, 7],\n [-11, 2, -2, -17, 11, -1, 7, 15, 2],\n [-18, 3, -19, -3, 11, 9, 17, 6, 17],\n [17, -7, -20, -20, 19, -13, -4, -20, -7],\n [-8, 9, -8, -18, 1, 14, -7, 19, 1],\n [12, -9, 3, -16, -12, -19, 10, 8, 8],\n [15, 9, 1, 0, 20, -9, -14, 4, -13],\n [12, -5, 19, -11, -9, 1, -14, 0, 19],\n [17, 1, -12, -1, -8, 3, 9, 20, -3],\n [4, -1, -10, 19, 13, 2, 5, 2, 12]]\nB =\n[[4, 13, 5, 18, -16, 8, 9, 6, 16],\n [4, -11, 13, -9, 8, 18, -2, -2, 8],\n [-19, 5, 16, 13, 9, -9, -1, 12, -12],\n [-19, 7, 13, 0, -2, -7, -4, -16, 0],\n [1, 19, -1, 7, 11, -2, 7, 2, 12],\n [-3, 14, 16, 15, -2, 5, 15, 5, -14],\n [2, -16, 2, 15, 11, -6, 6, -4, -1],\n [-5, 7, 10, -5, -7, -11, -19, 12, 20],\n [1, -19, -14, 20, 9, 17, 18, -2, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25837", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 16, -11, -6, -16, 17, 14, -17, 14],\n [-20, -4, 0, 1, -16, 15, 17, -12, -1],\n [-7, -1, 5, -17, 18, -1, -10, -14, 10],\n [-13, 2, -6, -20, -11, 20, 3, -6, 0],\n [1, 3, -11, 2, -5, -16, 12, 15, 4],\n [19, 5, -19, 13, 10, 19, -2, 16, -3],\n [-18, -14, 2, 16, -20, -14, 1, -18, -2],\n [9, -12, 14, 14, -8, 5, 7, 4, 18],\n [-18, -10, 9, 12, 13, 20, -18, -16, 10]]\nB =\n[[-17, -13, -4, 1, 17, 3, 10, 4, 17],\n [11, 5, 15, 6, 2, -1, 6, -4, -7],\n [-18, 19, 6, -7, 7, 4, 19, -10, -9],\n [12, -1, 13, 2, -2, 15, -20, -11, -20],\n [-16, 1, -19, -12, -14, 0, -14, -12, 19],\n [-12, -9, 15, -12, -11, -11, -4, 17, -17],\n [-5, 15, 6, -15, 19, -12, 11, 17, 9],\n [-7, 8, 7, 1, 10, -4, -4, -6, 11],\n [7, -10, 18, -4, -9, 18, -12, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1133", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 10) when matrix A is multiplied by matrix B?\nA =\n[[-17, -2, -8, 8, -12, 19, -14, -14, 0],\n [-12, 6, 0, -16, -16, -13, -6, -8, 12],\n [11, 15, 2, 13, -3, -9, 2, -19, 6],\n [10, 1, -16, -4, -14, -3, -19, 10, 7],\n [-18, -12, 12, 7, 7, -3, -6, -10, 4],\n [-16, 20, 6, -9, -11, -12, -19, -12, -5],\n [-20, 0, 16, 18, -20, 19, -7, 19, 11],\n [3, 18, 16, 12, 9, 5, -7, -9, -18],\n [-14, 0, 6, -11, -11, 15, -4, 13, -3]]\nB =\n[[5, -19, -12, -16, 5, 20, -6, 4, 5, 7],\n [2, 0, 1, -2, -11, 15, 10, 10, 14, -10],\n [-4, 12, 1, 5, 15, -19, 11, -18, 17, 2],\n [-20, -16, 16, -20, -3, -16, -3, 14, 11, 5],\n [12, 3, 6, -2, -3, -6, 6, -10, 3, -18],\n [18, -14, -9, 12, 1, 14, -7, 5, -2, 0],\n [20, 10, -16, 14, -4, 11, -17, -11, 9, 16],\n [-12, 5, 1, 0, 2, -9, 10, -4, 19, 0],\n [20, 12, -6, 11, 14, -6, 8, -10, 8, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, 5, -3, 4, 0, 3, 7, -18, -8],\n [17, -15, -10, 2, -12, -4, -12, -2, 14],\n [11, 7, 7, -6, -2, 12, 2, 7, -17],\n [10, 14, -16, 12, 11, -6, 16, 13, 19],\n [-12, 20, 14, 3, -3, -4, -20, -10, 12],\n [-15, 8, -1, -3, -7, -1, -3, 6, -3],\n [-4, 4, -16, -15, 19, 15, 12, -6, 18],\n [-5, 17, 18, 3, 0, 17, -8, 8, 13],\n [-16, -18, 0, -12, -18, 9, -18, 18, 20]]\nB =\n[[13, -4, -7, -10, -20, -20, -6, -19, -9],\n [-19, 2, 13, -4, 20, -7, -10, -1, -14],\n [-20, -6, 17, 13, -12, -20, -12, -19, 1],\n [4, -7, 14, -5, -2, 20, 10, -19, 11],\n [15, -10, -13, -16, 13, 11, -15, -13, 13],\n [-17, 15, 4, 5, 12, -12, -13, -4, -6],\n [-8, -18, -9, 8, -20, 11, 16, -1, -13],\n [16, 10, 10, 4, 19, -13, 9, 9, 6],\n [14, -8, 0, -12, 3, 12, -20, -13, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1503", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -7, 12, -17, 17, 4, -8, 20, 18],\n [4, 17, -12, 17, 17, 14, 8, -7, 17],\n [13, 4, 7, 9, 18, 16, -19, 0, 13],\n [-2, 19, 17, 10, 5, -9, 9, 5, 10],\n [-6, -11, 15, 19, 5, -12, -4, -15, 1],\n [-5, 1, 18, -17, -17, -12, -7, 5, -18],\n [11, -10, -18, -8, -8, 3, -1, -11, 2],\n [12, 14, -7, -5, 9, -2, 12, 20, -19],\n [17, -13, -1, -18, 0, -20, 0, -13, -19]]\nB =\n[[2, 20, -10, -5, -12, 11, 18, 15, 2, 9],\n [-11, 10, 5, 18, 9, -19, 8, 11, 17, 0],\n [6, 3, 13, 2, -7, 18, -16, -12, 16, -13],\n [-14, 9, -9, -1, 8, -9, -1, 1, 2, 5],\n [7, 19, -12, -16, -19, 7, -8, -6, -7, 18],\n [-7, -18, -11, 17, -15, -1, 14, -1, -18, -17],\n [-10, 20, 10, 8, 17, -1, 3, 2, 1, 1],\n [20, -1, 17, 20, -14, 3, 16, 4, -7, 8],\n [-18, 18, 8, -5, 0, 1, 0, 1, -12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2895", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-12, 11, 15, 15, -16, 5, -17, 3, 20],\n [-7, 6, -9, -3, -12, -19, 17, 11, -8],\n [3, -19, 17, -2, -3, -19, 5, 3, 6],\n [8, -13, 10, 13, -7, -17, 8, 18, 12],\n [0, 20, -20, 6, -19, -11, -11, 9, -20],\n [10, 14, 8, -8, -12, 19, 20, -10, 3],\n [4, -8, -7, 20, -18, -15, -8, -20, 8],\n [-7, -9, 5, 2, -18, -7, 13, 2, -11],\n [-17, 18, -11, 3, 13, 3, 4, -6, -9],\n [-20, -12, -7, 20, 10, 3, -11, -3, -18]]\nB =\n[[-9, 14, 2, 1, -10, 2, -9, 8, 4],\n [3, -17, 16, 8, -18, 10, 4, 16, 2],\n [1, 8, 15, -8, -18, 1, 15, -11, -12],\n [-2, -13, 12, -1, 9, 14, 10, -2, -7],\n [-11, -18, 13, 7, -2, 18, 5, -17, -9],\n [5, -14, -18, 5, -19, -9, 11, 17, -10],\n [11, -6, -15, 5, -13, -13, 17, -13, -4],\n [18, -2, -18, 20, -12, 12, 11, 11, -15],\n [8, 16, -4, -2, 10, -2, 2, 14, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28385", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-20, 12, 15, -20, -1, 1, 14, -18, -9],\n [16, -8, -9, -19, -1, -20, 20, 14, 3],\n [17, 5, -10, -6, -15, 19, -12, -15, -4],\n [2, 10, -5, 1, -5, -9, -12, -15, -17],\n [17, -4, -11, 19, 14, 0, -2, 6, -10],\n [-15, 20, 7, -18, 20, 3, 16, -8, -6],\n [-12, 18, 14, -3, -18, 7, -5, 20, 2],\n [11, -11, 17, 17, -8, -6, 7, -8, 14],\n [-19, -20, 20, 11, 9, 1, -17, 3, -7],\n [-4, -7, 19, 18, 20, 6, 0, 19, 14]]\nB =\n[[5, 10, 12, -10, -5, -15, 13, 20, 11, 0],\n [8, -10, -16, 6, 7, 10, -10, -8, -15, 6],\n [9, -2, -7, -12, 7, 7, 4, 5, -17, -18],\n [13, 0, -4, 17, 13, -9, 4, 0, -3, 15],\n [-15, -1, -1, 11, 10, -1, 9, -18, -1, -13],\n [0, 2, -20, -19, -11, 16, 9, 3, 11, 9],\n [17, -7, -18, 4, -14, -4, 20, 6, 17, 17],\n [2, 11, -19, -10, 13, 13, -14, -11, 4, -19],\n [9, -4, 8, -3, 14, -4, 1, 4, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32919", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the product of the following matrices:\nA =\n[[4, -6, 16, -6, -6, -3, 16, -20, 12],\n [-18, 1, 0, 20, 6, -17, 14, -20, -17],\n [3, 8, 1, 2, 0, -7, -13, -5, 14],\n [3, 5, -14, 4, 17, 5, 5, 9, -19],\n [-12, 18, -10, -6, -9, 14, 19, -5, 11],\n [-3, 0, -5, -14, -16, 20, 12, 10, 0],\n [-18, -11, -10, 1, -4, 4, 20, 7, -1],\n [9, 10, -8, -11, 12, 20, -1, -7, -13],\n [-13, 17, 7, -11, 19, -7, -7, -15, 13],\n [-4, 0, 18, 7, 17, -6, 15, 15, -12]]\nB =\n[[14, -3, -4, -3, -17, -1, -8, -10, 12],\n [7, -13, -1, -3, -14, 12, -10, 9, 14],\n [-1, 16, -11, 9, -3, 4, 11, 18, 13],\n [18, 10, 7, 5, -17, -1, -13, -19, 6],\n [13, 15, 0, -13, 2, -13, -16, 19, -20],\n [0, -11, -19, 0, -8, 7, 9, -3, -19],\n [-2, 0, 5, 4, -2, 4, 20, -1, -15],\n [-3, -3, -1, 18, 13, -11, 12, -2, -19],\n [-18, 9, 18, -2, 0, -7, 10, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 16, 19, 20, 13, -1, -5, -9, 20],\n [3, -8, 13, 6, 17, 0, -18, -7, 17],\n [16, 20, 9, -11, -20, 18, 7, -2, 9],\n [-1, -1, 2, 10, 11, 5, -7, -15, 12],\n [-13, -17, -8, 14, 8, 4, 13, -10, 17],\n [8, 1, 13, -10, 7, -13, 3, -11, -6],\n [18, 18, 0, 15, 15, -1, -8, -19, 6],\n [-14, 20, 5, 9, -2, 19, 0, 5, -11],\n [15, 6, -13, 5, -20, 2, -12, 10, -14]]\nB =\n[[-12, -14, 7, 13, -5, -11, 3, -11, 8, 4],\n [20, 9, -2, 10, 9, 13, 7, -2, -10, 7],\n [-15, -4, 16, 6, 15, -20, -5, -17, 2, 11],\n [-18, 0, 3, -6, -10, -18, -2, -13, 13, 13],\n [19, 17, 5, -18, 11, -11, -11, -10, -7, 10],\n [-12, -15, 14, 13, -3, 2, 9, -18, -6, 16],\n [-18, -6, -18, 8, 10, -14, -14, -10, 7, 15],\n [19, 4, -4, 17, 0, -1, -11, -15, -9, -4],\n [12, 15, -2, -16, 8, 16, 9, -20, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27286", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 3) of the product matrix AB given:\nA =\n[[-16, 17, -10, -1, 8, -7, 5, 13, -11],\n [6, 20, 20, 4, -11, 18, 11, 13, 2],\n [12, 11, 1, 1, 2, -2, 2, 1, 9],\n [-2, 1, -20, 13, 5, -17, -9, 7, 16],\n [-18, 7, 8, -1, -19, 16, -20, 15, -3],\n [-12, 16, 4, 20, -2, 4, -6, 5, -1],\n [-18, 4, 0, 13, 17, 3, 20, 4, -20],\n [8, 11, -20, 14, -5, 11, -6, -16, -11],\n [1, -13, -6, -1, 4, -9, 5, -17, 5],\n [-11, -6, -16, 11, 11, 1, 1, -9, -10]]\nB =\n[[3, 20, -5, -5, -20, 2, 7, 11, 15],\n [16, -18, -8, 7, 7, 3, -8, 3, -16],\n [-4, -9, -3, 12, 10, 13, 9, 11, -11],\n [10, 14, -6, 6, 6, -20, -9, -17, 2],\n [13, 2, -2, -1, -1, 8, -8, 7, 3],\n [1, 1, 19, -10, -13, 11, 3, -9, 19],\n [0, -18, 18, -3, -15, 15, -6, -6, 17],\n [3, -14, -12, -10, -5, -14, 4, -7, -20],\n [-1, 7, 17, 13, -12, -1, 17, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -8, 4, 1, 17, -1, 11, -5, -1],\n [20, 1, 17, 16, -6, -9, -12, 16, -6],\n [1, -9, 6, -2, 4, -11, 14, -9, -13],\n [-10, 18, -2, 2, 3, -6, -1, 4, -7],\n [-11, 8, -9, 12, 2, -7, 2, 16, 1],\n [8, 15, -19, -1, -16, 6, -18, -3, -8],\n [1, -8, -9, 11, 15, -14, -15, 19, 16],\n [-15, 4, 6, -16, -2, -12, 19, -20, -12],\n [18, -11, -7, 19, 4, -2, -4, -3, 19]]\nB =\n[[-12, -20, -15, 17, 17, 18, -4, -12, -10],\n [-3, 16, -14, 14, -14, 18, -10, -11, 13],\n [3, -9, -12, 1, 17, 11, -13, 0, -5],\n [12, 4, 18, -15, -17, 2, -12, 15, -10],\n [14, -9, 14, -14, 8, 0, -18, 3, 9],\n [6, 8, 9, 15, 2, 16, 5, 15, 7],\n [16, -17, 8, -7, 16, 12, 10, -7, 4],\n [-12, 4, 20, 4, 9, -1, 2, -20, -6],\n [0, 9, -10, 5, 9, -12, -16, 13, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24793", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 5) of the product of the following matrices:\nA =\n[[13, -20, -6, 10, -9, -14, 12, 11, -16, 17],\n [-16, -4, -14, 4, 4, -18, 15, 7, 2, -13],\n [10, 0, 14, 20, 20, 8, -18, 4, -19, 20],\n [13, -6, 18, 18, 19, -9, 3, -15, -15, 16],\n [5, -18, 11, -3, 7, 12, -4, 11, -9, 16],\n [0, -19, 5, 18, -4, 15, 13, -2, 11, 1],\n [18, -3, 3, -20, 20, -19, 19, 3, 19, -19],\n [6, -19, 2, 12, 13, 11, -18, 6, -9, -13],\n [-1, -4, 12, -10, -12, 13, -14, -5, 6, -6],\n [3, 16, 19, -2, 2, 18, 10, 9, -14, -18]]\nB =\n[[17, 9, -11, 13, -8, 18, -8, 4, 20, 13],\n [19, 19, 19, 13, -6, -18, 1, 13, -16, 20],\n [1, 8, -13, 13, -17, 4, 2, 4, 13, -15],\n [13, 0, 9, -18, -6, 0, -2, -2, 13, -7],\n [-17, 10, -10, -10, -17, -5, 17, -15, -3, 4],\n [3, 18, -12, 16, 13, 13, 19, 19, 16, 7],\n [-10, -7, 5, -13, 7, -1, 4, -11, -10, 5],\n [2, -2, -3, -2, 18, 19, -6, -5, -1, -2],\n [-10, -14, -2, 3, 10, -13, 3, -13, -8, -11],\n [-2, 2, 12, 9, 9, 8, 16, 14, -12, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-438", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 16, 17, -13, 5, -10, 19, 2, 11, -20],\n [-12, 19, 7, 12, 11, -13, 16, -3, -14, -3],\n [-9, -17, -8, -10, -5, -7, -5, 1, -3, 19],\n [4, 14, -14, -1, 6, 8, -11, -10, -1, 12],\n [16, -8, -5, -10, -16, 17, -18, -19, 17, -11],\n [-15, 0, 10, 13, 11, 8, -20, 12, 17, -4],\n [13, -5, -14, 15, -8, -1, -17, -16, -5, -12],\n [-9, -7, -6, -16, -3, -13, -13, 4, -17, 5],\n [-10, -15, 12, 1, 8, -16, -20, 1, 14, 10]]\nB =\n[[-18, -18, -14, -20, 3, 16, 9, 11, 11],\n [0, -5, -17, -4, -8, 14, 19, 13, -10],\n [15, 4, 19, 9, -8, 3, 15, 13, -13],\n [-3, -14, 1, -14, -8, -19, -19, 8, 6],\n [19, -3, -19, -17, -13, 15, -12, -3, 1],\n [-10, 6, 11, -19, -19, 9, 1, 1, 3],\n [6, -10, -8, 6, -6, -4, 18, -12, 2],\n [-17, -6, 10, -15, 5, -20, 1, 9, 1],\n [12, -16, 15, -11, -20, -9, -18, -11, -20],\n [-2, -3, 10, 1, -17, 20, -11, -11, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1068", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-16, -4, -3, -16, -13, 6, 4, 5, 2, 20],\n [2, 8, 12, -3, -14, 11, 20, -14, -13, 0],\n [-4, 12, 9, -19, 15, 1, 11, 4, -13, 12],\n [8, -4, 19, -19, 18, 10, -17, 5, -12, 10],\n [-11, -15, 5, -10, -6, -1, -7, 0, 6, 9],\n [-14, 16, -6, -5, -1, 17, -1, 1, -15, 19],\n [-1, -16, -10, -19, 9, -13, 19, -13, -4, 18],\n [14, 9, -20, -16, -5, 15, -6, -4, -8, 3],\n [-17, -8, -12, 5, -5, 16, -15, -10, -19, 9]]\nB =\n[[-2, 2, -9, 18, -15, 15, -6, 15, -8, -13],\n [4, 3, 10, 19, -8, 8, 11, 16, -3, 5],\n [-3, 13, 10, -6, 16, -1, 7, -17, -13, -3],\n [11, 2, -6, -14, 10, 11, 19, -7, -2, 19],\n [-5, -12, -20, 4, -13, 18, 11, -13, -8, -18],\n [-19, 7, -17, 2, 13, -14, 9, -12, -2, -12],\n [2, -10, -8, 8, 10, -13, -2, -16, 6, 18],\n [-7, 1, 1, -16, -5, 18, 5, -5, -9, -5],\n [19, -9, 11, -16, 15, 7, -17, 18, 18, 8],\n [-2, 4, 14, 3, -2, 2, 10, -2, 11, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7667", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 1) of the product of the following matrices:\nA =\n[[-3, -14, 3, -4, -6, -12, 13, 14, -13],\n [-10, 3, 9, 0, 14, -9, -12, -9, 7],\n [8, 19, 14, 8, -15, -5, 7, -20, 8],\n [19, -15, 6, 16, 1, -14, -20, -8, -7],\n [-6, -9, 20, -17, 0, -19, 0, -7, -19],\n [-10, 16, -7, -1, 14, 6, -15, -14, -20],\n [-8, 17, -4, 17, 15, 17, -20, -20, -2],\n [9, -8, -14, -1, -12, -8, 18, -1, 4],\n [-16, 4, -9, 5, 1, -20, -13, 15, -18]]\nB =\n[[1, 19, 0, 0, 10, -20, 20, 6, -19],\n [8, -20, -13, 14, 14, -14, 2, 2, 18],\n [-2, -6, -13, 12, 14, 19, -8, 10, -14],\n [-1, 17, -13, 15, -7, 9, -12, -8, -9],\n [-19, 17, 0, 8, -1, -12, -6, 12, -14],\n [-18, 2, 1, 18, -8, -12, 13, -9, 13],\n [12, 14, 7, 18, -18, -9, -8, -18, -3],\n [5, -11, -17, 16, -9, -5, -4, 19, 10],\n [5, -19, 8, 9, -10, 16, 13, -14, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 12, 6, -5, -4, -10, -7, -8, 14, 5],\n [4, 19, -9, -17, 20, 6, -13, -13, 8, -18],\n [0, 10, -8, 10, -4, 11, 3, -19, -18, 5],\n [-19, 12, 13, 5, 13, 17, -7, 10, -1, -11],\n [-1, 12, -19, -9, -5, -12, -10, 0, -9, -17],\n [5, -2, -4, -20, -13, 9, 20, 3, -4, 9],\n [20, -12, -19, 5, 11, 6, 20, -10, -20, 16],\n [-3, -13, 6, -3, -12, -19, -4, -10, -15, -16],\n [-9, 14, 3, 9, -4, 15, -15, 11, 13, -5],\n [-14, 11, -4, 11, -7, 5, -12, -8, 4, -9]]\nB =\n[[-5, 9, 0, 3, -16, 12, 10, -12, 14],\n [-13, -10, -4, -5, -1, 6, -7, 1, -14],\n [-10, -4, -8, -4, -10, -17, -5, 10, 0],\n [12, -8, 8, -6, -11, 12, -6, -8, 14],\n [0, 9, -14, 3, -5, -16, -15, -19, -18],\n [-11, 3, 12, -1, 1, 11, 9, -18, -17],\n [-17, 18, 10, -12, 9, 8, 4, 18, 14],\n [4, 16, 15, -10, 5, 4, 0, -19, -11],\n [18, 14, 12, 20, 10, -17, -18, -16, -4],\n [-8, -20, 18, 2, 20, 4, 10, -8, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3373", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 3) of the product of the following matrices:\nA =\n[[13, 8, 10, -13, -19, -9, 12, 9, 20, 6],\n [4, 17, 12, 17, -5, 11, 3, -19, -19, -1],\n [6, 1, 18, -2, -14, -18, 13, 20, 2, -16],\n [-18, 3, 6, 13, 0, -9, 11, 1, 13, 2],\n [-20, -17, -4, 5, 10, 18, 16, 19, 12, 7],\n [-11, 15, -12, 5, 13, -7, 20, 5, 16, 10],\n [17, 7, 20, 19, -4, -9, 6, -20, 19, 12],\n [-8, -16, 16, 19, 7, 3, -1, 19, 16, -1],\n [2, -18, -16, -6, -16, 13, 18, 18, 2, -4],\n [-12, -17, 9, -7, 9, 10, -20, 6, -19, 19]]\nB =\n[[20, -11, 3, -1, -5, 20, 17, 20, -3],\n [14, 9, 16, -16, 16, -10, -17, 16, -10],\n [-9, 7, 5, 13, -20, -15, 12, 3, 13],\n [-13, -5, -5, -5, 13, -1, -7, 5, -19],\n [-2, -19, 5, 4, -2, -4, 9, -9, 0],\n [15, 19, 7, 12, -12, -3, 3, 11, 2],\n [-9, 13, 5, -15, -16, 2, -6, 11, -8],\n [20, 7, 12, -13, -5, 18, 11, -5, -8],\n [-1, -2, -10, 6, -5, -12, -8, -2, 9],\n [18, -4, 9, 8, -19, -18, -1, -20, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, 18, 2, -3, -17, 20, 12, 5, 1, 9],\n [5, -20, -15, -4, 10, -17, -11, 18, 13, 1],\n [1, -14, 18, 16, -6, -2, -11, 16, 16, -17],\n [20, 4, 7, -3, 14, -2, -1, 18, 12, -20],\n [-20, 20, -2, -12, -7, -18, 9, 20, -20, -16],\n [2, -15, -1, -13, 10, -6, 5, 12, 18, 11],\n [-20, -16, 1, 10, -16, -13, -15, -11, 19, 17],\n [20, -5, 7, -20, -3, 18, 18, 16, -10, -18],\n [8, -17, 10, -10, 9, -6, -6, 11, 8, 7],\n [0, 17, 18, -10, 11, 6, 3, 16, -20, 11]]\nB =\n[[-20, 13, -3, 8, -15, 10, -7, -10, -16],\n [1, -8, -9, 20, -17, 17, -17, 9, -20],\n [10, 2, -7, 14, -4, 11, 15, 2, 13],\n [17, 20, 18, 1, -19, -1, -7, 17, 16],\n [16, -9, 7, -13, 8, 0, 18, -3, -2],\n [-11, -12, 2, 9, 1, 8, -15, 14, -7],\n [-16, -3, 14, 9, -14, 13, 17, -2, -10],\n [20, -4, -10, 7, -18, -11, 3, 12, 5],\n [-16, 3, 5, -14, -9, 18, 15, -4, -5],\n [10, -3, 11, -19, -11, 18, -7, -11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37744", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 19, 13, 20, -12, 8, 20, 15, -12],\n [20, -10, 0, -8, 3, -20, 14, 14, 0],\n [-16, 0, -17, 12, 15, -13, 8, -14, -20],\n [-16, -8, 5, -9, -13, 13, 1, -12, -12],\n [-3, -4, -14, 18, 13, -5, 7, 4, 1],\n [13, -6, -5, -5, 17, 1, 8, 11, 3],\n [20, 2, 17, 2, 4, 5, 15, 13, -8],\n [12, 20, -17, 15, -1, 8, -6, -6, -8],\n [-7, 1, -20, -20, 10, 12, -20, 17, 3]]\nB =\n[[18, 1, 2, -19, 1, -12, -17, 4, -6],\n [3, 19, -14, -13, 6, 6, 14, 17, 9],\n [18, 8, -16, -3, -6, 5, -19, 10, 4],\n [4, 11, 1, -11, 15, -9, 0, -6, -10],\n [-14, 3, 9, -7, 19, -15, -13, 15, -9],\n [-16, -8, -2, 1, -9, 11, 17, 17, -4],\n [5, -5, -9, 16, -5, -16, -13, -14, 6],\n [5, -8, 14, -4, -14, -12, -11, 17, -7],\n [16, -8, -13, 20, -11, 12, 16, -1, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-20, -2, 3, -10, 1, 16, -18, -4, 19],\n [-1, 14, 19, -6, -10, -8, 5, 2, 19],\n [-8, -5, -7, 19, 13, 19, 8, 7, 6],\n [17, -8, -18, 18, 17, -16, -5, 10, 1],\n [-18, -16, -18, -6, 13, -6, 6, -8, 13],\n [-3, -11, 11, -17, -19, 9, 10, -18, -16],\n [13, -7, 16, -14, -6, -2, -2, -4, 19],\n [-8, 0, -20, -3, 3, 9, -14, 6, 6],\n [-18, -5, -17, -20, 12, 5, 18, -18, -17],\n [12, -16, 8, -10, -18, -3, 9, -4, 9]]\nB =\n[[9, 12, -4, 18, -5, 12, -19, -19, 3, -16],\n [15, -18, 19, 11, -7, 17, -16, 16, 5, -4],\n [-2, -10, -14, -8, 4, -9, 10, 7, -6, 12],\n [-10, 18, 11, -5, -12, 20, -9, -2, -7, -9],\n [3, -12, 0, -9, 16, -16, -12, -1, -15, 19],\n [-8, -5, -1, -16, -4, -11, 9, -14, -10, -13],\n [16, 10, -20, 4, 7, 2, 8, 1, -11, -4],\n [-8, -5, -9, -6, 18, -2, 0, 11, -16, -6],\n [11, -20, -6, 14, -1, 10, -1, 3, 19, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1524", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 14, 8, -12, -11, -19, 2, -3, -20],\n [-10, 16, 15, 12, 15, 3, 4, 2, 1],\n [12, -2, 13, 2, 5, 1, -18, -17, 12],\n [-10, -1, 11, -6, 4, -4, 1, 13, 12],\n [4, -7, 9, 1, 1, -2, 17, -17, -13],\n [18, -11, 7, 0, -20, 16, 13, -10, -5],\n [18, -7, -20, 10, -9, 6, -4, -5, -20],\n [9, 16, 2, 6, 16, -5, 3, 7, 9],\n [5, 3, 10, 4, -19, -14, 2, 8, 14],\n [9, 8, 10, -19, -6, -5, -13, 7, 19]]\nB =\n[[-4, -7, 0, 6, 0, 11, -5, 7, 17, 8],\n [15, 3, 0, 18, -13, 7, -3, -2, -2, 17],\n [5, -15, 5, 7, 11, 13, 16, 4, 1, 10],\n [-15, 10, -20, 19, -12, -9, 0, -18, -16, 16],\n [-8, 8, 7, 4, -11, 13, -6, 9, -8, 16],\n [-16, -7, -11, 13, 10, -16, -15, -8, 19, -8],\n [12, 16, 2, 0, -13, 13, 10, 10, -1, 14],\n [-19, 3, -10, -17, 5, -7, -1, 15, 4, 18],\n [-11, 14, -16, -17, -1, 2, -16, 8, 8, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7274", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[1, -14, 12, 1, 20, 7, 0, 15, -17],\n [-15, -2, -10, -4, -3, -8, 20, -10, 6],\n [-5, -6, -7, -6, -3, -9, 5, 19, -3],\n [5, -3, -20, -5, 16, 0, -13, -19, -2],\n [8, 9, -18, -13, 14, -3, 5, 4, -13],\n [-3, 3, -16, 5, -11, -10, -17, -11, 16],\n [-9, -11, -9, -16, 6, 12, 11, -16, 2],\n [3, -19, 9, -11, -20, -8, 15, -18, -5],\n [-7, 19, -16, 4, 17, 8, -4, -12, -3]]\nB =\n[[-9, 18, 7, 11, -1, 19, -20, -9, 1],\n [-13, -9, 17, 3, 17, 18, 20, 7, -9],\n [10, 17, 17, 7, -12, 1, -14, -17, 8],\n [-11, 0, -17, 3, 0, -3, 5, -13, 2],\n [-12, 4, 15, 11, -14, 12, 10, -4, 14],\n [1, 8, -3, -11, -6, -14, 17, -7, 5],\n [-3, -3, -15, 4, 20, -9, 9, -2, 0],\n [-5, 14, -14, -2, 17, 5, 20, -3, -9],\n [-16, 5, -16, 17, -3, -15, -20, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-563", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[5, 18, -3, 15, 16, 5, 12, -20, 6, 16],\n [1, -2, -8, 16, -18, 6, 14, -12, -1, 5],\n [14, 0, 11, 1, -7, 8, 10, -4, 2, 15],\n [4, -3, -5, -19, 5, 13, -9, -11, 8, -19],\n [-5, 15, 15, 1, -15, 14, 20, 16, 10, 20],\n [-19, 14, 7, -14, 0, 4, -3, 20, -8, -13],\n [-7, -4, -8, -10, -11, -4, 8, -19, -20, 6],\n [-2, -3, 14, -12, 4, 1, -8, 8, 1, -5],\n [-2, -13, -9, -19, -16, -7, -5, 13, -11, -13]]\nB =\n[[4, 6, -11, 15, 18, -14, -6, -8, 12, 14],\n [-19, 19, -10, 0, -7, 4, 2, -20, -15, 15],\n [-3, 16, -16, -20, 9, -20, -7, 7, 10, 2],\n [10, -14, -1, -1, 10, -12, -10, -15, -3, 8],\n [-20, 12, -18, 17, 16, 20, -5, 17, 14, 5],\n [15, 0, 15, -2, -12, 6, 10, -6, 11, 8],\n [-12, 16, -4, -7, 18, 19, -15, 17, 11, -15],\n [11, 13, 13, -9, -12, -16, -4, 7, 1, -15],\n [11, -2, -4, -11, -6, 18, 17, 0, 19, -18],\n [9, -6, 6, 10, -5, 7, 19, 16, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-9, 7, -14, 14, 15, 17, -20, 13, 1, 9],\n [-1, -13, -14, -19, 9, -9, 15, 17, 6, 13],\n [17, -10, -1, 9, 11, 5, 2, 20, 3, -19],\n [20, 11, -6, -15, -5, -10, -12, -18, -14, 9],\n [1, -17, -16, 1, -17, 19, -17, -6, -5, -1],\n [-11, 12, 10, 17, -20, 4, 16, -3, 4, -6],\n [-17, 14, -17, -1, -9, 9, 20, 1, 15, 13],\n [6, 4, 18, -9, -9, 0, 12, -14, -2, 3],\n [-1, -16, 9, -14, -1, -4, 13, -14, -10, -3],\n [9, -1, -19, -14, 6, -6, -2, 13, -19, 7]]\nB =\n[[-19, -10, -15, 2, -11, 12, -2, -10, 3],\n [7, -9, 7, -16, -2, -13, 16, 7, -16],\n [-13, 3, -1, 14, -15, -16, -11, 7, -9],\n [-6, -18, 2, 15, -14, -20, -13, 6, 1],\n [10, 18, -10, 0, -6, 7, 17, 2, 6],\n [-2, -5, -9, 2, -14, 9, -5, 11, 20],\n [0, -17, -14, 6, -15, -1, -9, -7, 13],\n [-4, 19, -1, -19, 0, -9, -8, -20, -3],\n [-7, 10, 3, -9, 4, 15, -7, -3, 3],\n [5, 9, -17, 19, 8, -3, -17, 12, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-19, -9, 1, 5, -7, -12, -11, -14, 20, -1],\n [-6, 13, 3, -19, -1, -8, 4, 15, -18, -9],\n [12, 7, -10, -4, 19, -7, 10, -16, -19, 18],\n [-8, -1, -10, -7, -17, -18, -10, 4, 2, -4],\n [10, -7, -3, -18, 14, 18, -2, 2, 10, 3],\n [-4, 6, -12, 11, -7, 1, 19, -7, 16, -7],\n [7, 19, 12, 1, 19, 16, 14, 7, 16, -18],\n [1, 17, 18, 2, -15, -7, 1, 15, -1, 2],\n [-8, -12, 20, -15, 7, -14, -2, 10, 14, 8],\n [12, 1, -18, -8, 19, -8, 19, 19, -8, -9]]\nB =\n[[-16, -8, -9, -11, -6, -19, 17, -5, 12],\n [13, 4, 5, 19, -7, -6, 14, 17, 10],\n [13, -12, -14, 17, -20, 2, -7, 4, -13],\n [19, -15, -6, -1, -4, 11, -15, 18, 7],\n [-11, -12, 16, 13, -8, -10, -10, 9, 7],\n [2, -6, -10, -8, 7, -14, 10, 1, 17],\n [-7, -15, 10, -18, -4, -1, -14, -4, 5],\n [6, -8, 19, -16, -20, -4, 16, -5, -3],\n [7, -18, -3, 20, 9, 11, -7, -4, -2],\n [-13, -17, 3, 8, -10, -9, -7, -14, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "760", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 4) of the result:\nA =\n[[11, -10, -19, -4, 2, 12, 1, -7, -1],\n [-4, -13, -14, 16, 15, -17, 9, 0, 6],\n [-18, 10, -5, -8, -14, -10, 13, -10, 11],\n [12, 8, 10, 6, 18, 18, -19, -13, -9],\n [-1, 19, -16, 19, -8, -20, 12, -12, 18],\n [20, 13, -13, 12, 15, -9, 15, -2, 18],\n [0, 12, -17, -17, -10, 5, -16, 9, -19],\n [3, 20, -5, -3, -9, 5, -9, 5, -17],\n [6, 2, 0, 16, 13, -10, -18, -15, -7],\n [-15, -8, 8, 12, -4, -10, -19, 13, 10]]\nB =\n[[-5, 20, 16, 1, 14, -14, -6, -17, 3],\n [-8, 8, -5, -20, 13, 13, -5, 11, 19],\n [12, -6, -4, -4, 14, 8, -9, 16, -8],\n [0, 18, -20, -8, 3, 3, -8, 15, -16],\n [-7, -5, -15, -19, -17, -5, 15, 0, -4],\n [-18, 3, -15, -2, 13, 1, -18, 18, 2],\n [-10, 11, 9, 15, -18, 19, 19, 15, -5],\n [11, 15, 17, 1, 17, -9, 19, -7, -14],\n [-19, 19, -10, -11, 18, -15, -12, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-269", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-16, -16, -18, -17, -9, 5, -15, -11, 6],\n [19, 2, 17, 9, 16, 4, -7, -18, -17],\n [15, 4, -13, 4, 15, 9, -6, 16, -16],\n [-3, 11, -14, -17, 20, 10, -5, -18, -18],\n [-18, 8, -2, -17, 14, -5, 5, 17, -17],\n [13, 0, 20, 4, -18, -3, 4, 11, -1],\n [-6, -19, 9, -9, 18, -14, 1, -13, 2],\n [2, -9, -15, -7, 7, -16, -17, 4, 6],\n [-17, 8, 20, 6, -14, 11, -1, 15, 9],\n [8, 7, 19, -18, 6, 0, 16, 14, -1]]\nB =\n[[-12, 14, -11, 0, 20, 3, 18, -20, 10, 2],\n [-3, 6, 20, -9, 14, 20, -5, 0, 6, 15],\n [-8, -13, -13, -5, 2, 13, 3, 0, -8, -17],\n [8, -17, 0, 13, -12, 4, 20, 0, -17, -5],\n [4, 19, -14, -16, 19, 0, 13, 1, 6, -11],\n [20, -6, -18, -8, 5, -20, -12, 18, 5, -3],\n [-13, -6, 1, 17, -17, 0, -5, 4, 2, -4],\n [11, -19, -20, -12, 5, 14, -15, 20, -12, -1],\n [5, 20, 13, -11, 9, -17, 18, 13, -12, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-880", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 4, 19, -18, 4, -3, -10, 2, 13, 13],\n [3, -19, -8, -1, -14, -12, 13, -20, -13, 20],\n [-20, 4, 8, -4, -14, 14, -5, 0, -19, 5],\n [-16, -16, -12, -3, -2, -15, 6, 10, 0, -7],\n [-5, -19, -3, -3, 14, -7, -3, -2, 4, 14],\n [-14, -18, 17, -9, -5, -1, -16, 10, 3, 3],\n [-5, 18, 7, -16, -8, -6, 20, -17, -7, 6],\n [-11, 2, 16, 7, -8, 15, 11, 16, -20, -17],\n [-20, -3, -8, 4, 0, -6, 20, 20, -11, 14],\n [-17, -16, 17, 17, 3, 3, 19, -2, -1, 7]]\nB =\n[[-10, 2, -6, 0, 15, -8, 11, -11, 16],\n [11, -1, 18, -5, 18, -16, -4, 15, 5],\n [-17, 17, 5, -1, -8, -14, 3, -18, -18],\n [-5, 10, 12, -7, 4, -19, 20, -8, -3],\n [-1, -19, -14, -8, -13, -18, -7, 2, -13],\n [12, 6, -10, 12, -10, 17, -3, 7, 20],\n [5, 9, -11, -18, 11, 15, -11, 0, -14],\n [4, 13, 4, -12, -13, 14, 7, -11, -7],\n [8, -20, -2, -7, -1, 17, 15, 20, -13],\n [17, 3, -14, -16, -7, -12, -1, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7503", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -15, -14, 15, 15, -1, -3, -13, 6],\n [-16, 10, 20, 0, -18, 5, -4, 9, 2],\n [4, -17, 20, -10, 20, 17, -3, 12, 15],\n [17, -3, -5, 1, 0, 10, 10, 6, 20],\n [16, -18, 10, 13, 5, 3, -11, 8, 17],\n [-8, 16, 18, -15, -7, 9, 18, -17, 7],\n [18, -11, 5, 13, 8, -13, 18, -3, -12],\n [1, -3, 16, 12, -19, 5, -4, -17, -12],\n [-11, -16, 17, 19, 1, 20, -2, 16, 12],\n [-15, 2, -7, 10, 12, -4, -20, -9, -18]]\nB =\n[[15, 3, 20, -7, 16, 7, 6, -1, -6, 4],\n [-15, -7, 18, 9, 7, 10, -12, -19, -20, -19],\n [7, 15, 2, -1, 12, 9, 17, 4, -5, 17],\n [18, -14, 12, 13, -4, 19, -17, -8, 5, -8],\n [11, -9, -7, 0, 12, 20, -18, -14, -6, -14],\n [5, 5, -9, 19, -19, 19, -6, 10, 16, 13],\n [-9, -15, 19, 11, 15, -11, -5, 4, 9, 19],\n [8, 2, 18, -14, -7, 16, -19, 16, -16, 17],\n [1, -15, -14, 15, -16, 5, 7, 2, -19, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1324", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -19, -19, -3, 18, 6, -16, -12, -7, -17],\n [-20, 19, 1, -6, 4, 11, 10, 2, -4, 13],\n [-16, 9, 9, -7, 4, -18, 17, -1, 2, 2],\n [0, -16, -12, 18, 1, -2, -16, -17, 0, -3],\n [-16, 18, -8, 5, -5, -10, -18, -17, -12, 9],\n [-9, -8, 0, 0, 6, -16, -4, 0, -20, -5],\n [19, 1, 2, -1, -13, 20, 17, 9, -19, 11],\n [-2, -8, 3, -11, -16, 6, 4, -14, 6, 0],\n [7, 0, 13, 0, 6, -6, -16, -4, -13, 3]]\nB =\n[[-3, -16, -5, 0, -9, -4, 12, -10, 19, 16],\n [19, -10, 7, 9, -7, 0, 11, 6, 13, -13],\n [12, 16, 0, 8, -5, -17, 4, -16, -2, 18],\n [-15, 9, 7, -8, -18, 14, -17, -11, -15, -20],\n [-20, -14, -5, 3, -17, -5, -14, 4, -6, -12],\n [-10, -14, 18, 2, -18, -14, -18, -9, -18, -14],\n [2, 17, -6, 2, -16, 20, 8, -2, 3, 2],\n [7, -4, -12, -4, -20, 19, -12, 19, -15, -6],\n [-15, -3, 3, 17, 9, -2, 7, 2, 3, 6],\n [-8, -10, -6, 9, -15, 4, 10, -10, -17, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1137", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -7, 3, 2, -16, 5, 9, 17, -18, -3],\n [1, 7, 9, -19, -12, -20, 15, 0, 7, 15],\n [11, -15, 2, -15, 1, 10, -2, -13, -13, -1],\n [3, -8, 20, -14, -13, 6, -18, -4, -16, 17],\n [-12, -15, -13, 5, -1, 5, -18, 4, -6, -10],\n [11, 11, -15, -19, 2, 8, -14, 9, -5, -20],\n [-8, 15, -20, 1, 16, 8, -5, -12, 4, 17],\n [1, 20, -19, -20, -11, 14, 3, 3, -11, 17],\n [-1, -9, 2, 2, -12, -17, 8, 6, 8, -17]]\nB =\n[[-19, -14, 13, -9, 6, 1, -6, -11, 14, 19],\n [-1, 11, -1, -16, 8, 6, 5, -10, 8, -1],\n [-15, -13, -19, 6, 17, -1, 9, 8, -19, -6],\n [12, -10, 19, 3, 20, -6, -16, -12, -17, 6],\n [-17, 16, -8, 0, -10, -9, -7, 15, -8, -16],\n [0, -12, 12, -4, 6, -20, -16, -9, 4, 4],\n [-9, -10, 9, 6, -4, 9, -18, -10, 12, -12],\n [-3, -20, -15, 13, -16, -18, 5, 16, 19, -15],\n [-10, -10, 19, 17, -5, -1, -1, 5, 14, 19],\n [4, 9, 19, 4, -11, 14, 6, -17, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27543", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 7) of the result:\nA =\n[[14, 0, 20, 10, -2, 17, 11, -17, -7, -20],\n [19, -2, 11, -13, -16, -13, -15, 14, -10, -8],\n [4, 8, -1, 14, 5, -1, 18, 20, -15, -4],\n [6, 20, -2, 11, 2, 17, 20, 10, -5, -18],\n [-5, -5, -17, -16, 7, 2, -2, 4, -2, -18],\n [-13, 5, 10, -2, -4, -20, -8, -9, 11, 3],\n [13, 3, -12, -17, 4, 15, 3, 2, 18, -6],\n [4, -11, -11, -15, -16, 8, -1, -20, 1, 2],\n [5, -7, 15, -9, -6, -5, -6, -13, -7, -19],\n [-9, 3, -19, -3, -17, 7, 4, 20, 19, -14]]\nB =\n[[-9, -2, -17, -19, 3, -10, 3, 18, -12, -14],\n [8, 14, 3, -18, -20, 12, 13, -11, -6, -10],\n [19, 12, 11, 17, -1, 11, -13, -4, 15, -19],\n [13, -10, -7, -3, -11, 2, 3, -10, 20, 7],\n [6, -13, 16, -19, -20, 20, -17, -18, 5, -14],\n [1, -11, -11, 18, -20, 16, -10, 13, -11, -7],\n [17, -19, 18, -11, 11, 8, -20, -17, 12, 3],\n [20, 1, -11, 5, -7, -9, -1, 13, 14, 1],\n [17, -4, 7, 2, -5, 2, 16, 15, 2, 10],\n [-6, -8, -7, 1, -12, -13, -7, -14, -18, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, 20, 4, 2, -10, 11, -20, 6],\n [7, 18, 5, -12, 9, -18, 10, -11, 11],\n [-20, -13, 18, -11, 3, -2, -14, -12, 11],\n [-2, 18, 8, -5, 18, -18, -16, -15, -4],\n [-4, 15, 11, 19, -7, 11, 17, -8, 2],\n [-9, 1, 9, 1, -11, -9, 15, 7, 2],\n [3, 7, -13, -1, -18, -14, 2, 14, 12],\n [14, 1, 13, 15, 16, 17, 5, 20, -11],\n [16, -14, -10, -4, -13, -14, -13, 12, -15],\n [-16, -5, -7, 13, 13, 4, 1, -18, 20]]\nB =\n[[-3, -1, -8, 13, 0, 8, -12, 19, 1],\n [10, 10, -15, 20, -19, -14, -9, -2, -1],\n [-8, 0, 16, 5, 12, 1, -10, -6, -3],\n [10, 13, 8, 20, -4, -3, 11, -11, -12],\n [6, 5, 0, 8, -1, -12, -17, -6, 2],\n [-5, -20, -2, 5, -17, 7, 19, 14, 14],\n [19, 0, 16, 6, 19, -8, -15, 10, 2],\n [12, -12, -16, 17, -17, 11, -18, 13, -9],\n [15, 11, 10, -8, 1, 6, -16, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30835", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[2, 7, -19, -18, -8, 15, 0, 18, -7, 17],\n [7, -16, 17, -4, 19, 18, 14, -3, 0, 4],\n [10, -6, -2, -8, 11, 10, -7, 4, -2, 2],\n [-2, -4, -5, 11, 10, -11, -13, -19, 4, 6],\n [3, 3, -1, 11, 13, 8, 17, -7, 3, 14],\n [-2, -13, -13, -15, -10, -8, 6, 3, 7, -18],\n [-15, -19, 12, -5, 6, 20, 0, -20, -3, -5],\n [17, -3, -7, 5, -15, -10, -19, 4, -18, 19],\n [9, -12, 9, 0, 1, -9, 9, -15, 6, 13]]\nB =\n[[-6, 9, -6, 15, 8, -14, -6, 8, -7],\n [-11, 3, 17, -19, -14, 14, 7, 19, 5],\n [11, -6, 1, 2, -11, 4, 6, 5, -3],\n [-20, -19, 11, 16, 10, -9, -8, 8, -18],\n [-17, -5, -11, -7, 16, -2, 9, 18, -17],\n [15, 11, 6, 2, -2, 13, -10, -2, 2],\n [19, -13, -12, -7, 19, 14, 13, -20, 11],\n [-13, 2, 11, 17, 14, 1, 16, 6, 0],\n [8, -8, 16, 16, 19, 13, 13, -11, -6],\n [6, -5, 5, 6, -17, 13, 20, -10, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-473", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[18, 4, 4, 17, -20, -9, -3, 20, 16],\n [-8, -3, -6, -15, 18, -8, -9, -11, 5],\n [6, 1, 12, -5, -20, 20, -20, -10, 20],\n [1, 8, 13, -18, 10, -8, -10, 16, -13],\n [-11, 17, -6, -13, 9, 15, 9, 10, 20],\n [-16, -2, 13, -8, 4, -7, -10, 9, -14],\n [-19, 14, -18, 12, 11, -4, 7, 0, -2],\n [12, -10, 12, 2, -14, -13, 9, -14, 1],\n [6, 19, 15, 15, -2, 6, -15, -5, 3],\n [3, 9, 18, 14, 14, -1, 15, -10, -2]]\nB =\n[[19, 4, 1, -20, -1, 14, 2, 3, 18, 2],\n [17, -14, 18, -12, 8, 20, -11, -6, -13, 20],\n [1, -1, -3, 13, 2, 7, 20, -11, 2, -11],\n [-20, 8, 20, -16, 8, -1, -13, 4, -20, 15],\n [-5, -16, -8, -20, -13, -20, -1, 18, 4, 8],\n [-18, 8, -3, -3, 3, -15, 7, -7, 5, -14],\n [-10, 0, -16, 10, 6, 12, 13, 15, -16, 5],\n [14, -1, -7, -16, -9, -8, 6, 6, -5, -17],\n [-8, -3, -9, -2, -4, -14, 0, 18, -20, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-577", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-18, 11, -12, -10, 2, 9, -16, 9, 5, -17],\n [6, 8, 17, -14, -5, -13, 4, 3, 20, 20],\n [0, -5, 20, -10, -13, 14, -15, 16, -10, 7],\n [-10, -15, 19, 9, -7, -8, 14, -15, 12, -10],\n [-20, 6, 9, 5, 7, 20, 11, -11, -9, 15],\n [1, -5, -3, -14, 15, -19, -12, 9, 7, 8],\n [-2, 7, 20, 4, 8, 2, -11, 20, -16, 12],\n [20, -16, -17, 16, -17, 4, 11, -7, 6, 5],\n [-13, 9, -8, 11, 8, 2, 7, -7, -11, -14]]\nB =\n[[5, 15, 6, 7, 9, 3, -20, 20, 6, -20],\n [-11, -16, -12, -18, 8, -19, -3, -7, 8, -16],\n [-16, -19, 18, 2, 10, -5, 1, 6, 8, -16],\n [-9, -8, -13, 3, 7, 16, 6, 15, -12, -6],\n [-16, 7, -6, 15, -3, 1, -16, 1, -4, 1],\n [0, 2, 7, 7, -4, -2, -8, 13, 12, -5],\n [9, -18, 6, -1, 11, 0, -16, -19, 1, -14],\n [-11, 19, -20, -5, 20, 7, -1, 5, -6, 20],\n [9, -9, -19, -11, 6, 0, -5, 16, 1, 18],\n [20, 1, -4, -4, 5, 16, 17, 17, 20, -18]]\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 sum of all entries of the result:\nA =\n[[-12, -20, -2, -7, 19, 17, -19, -14, 17, 7],\n [-11, 4, 1, -10, 19, 17, -11, -3, -16, -10],\n [6, 6, 15, -8, 7, -19, -14, 11, -15, -2],\n [-6, 2, 3, 7, 3, 1, -15, -17, 13, 18],\n [6, 1, -5, 11, -16, 20, 12, 14, -16, 2],\n [16, 11, -7, 12, -16, 14, 20, 17, 1, -15],\n [19, 13, -17, -19, -12, 9, 16, -2, -12, -16],\n [-5, 5, -14, -19, -7, 10, 1, 12, 19, 10],\n [-2, -15, 19, -11, -9, 5, -17, -16, 9, 3]]\nB =\n[[18, 14, -16, -16, -13, 14, -20, -19, -14],\n [-6, -7, -8, 8, -19, -14, -11, -1, 4],\n [5, -15, -17, -13, -8, 16, -13, 19, 8],\n [6, -12, -7, -10, 4, 2, -11, -14, -8],\n [1, 20, 19, -3, -12, 1, -12, -7, -9],\n [19, -4, -4, 3, -8, 15, -3, 9, 16],\n [-20, -7, -11, -16, 1, 20, 8, 11, 10],\n [16, 12, 9, 18, 12, -11, 14, 7, -12],\n [20, -10, 6, 11, 20, 0, -9, -14, 1],\n [11, -18, -9, -8, 1, 17, 7, -16, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4838", "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, -1, -1, 20, -12, -14, -14, 5, 12],\n [10, -7, 14, 9, 14, -2, -12, -3, -20],\n [-4, 1, -9, -3, -19, 3, 18, -17, 2],\n [-17, 0, 6, -10, 3, 6, 15, 6, 7],\n [13, -19, 20, 5, -6, 3, -2, -14, -4],\n [-17, 15, 19, 9, 20, -7, -1, 8, 5],\n [-2, -13, 17, -1, -20, -5, -20, 14, -13],\n [-13, -19, 7, 10, -5, -10, -7, 16, 12],\n [-13, 20, 13, -8, -5, 15, 18, 0, -4],\n [18, 13, -3, 20, 20, 15, 15, -16, 7]]\nB =\n[[-16, -17, -18, 12, -18, -13, 2, -15, 6],\n [1, 13, -20, 15, 6, -12, 4, -7, -3],\n [-3, 6, -12, -9, -3, -7, -11, -1, 1],\n [13, 17, -16, 9, -20, 5, -14, -14, -16],\n [-1, 7, 2, -13, -5, 20, -15, -10, -8],\n [-19, -19, -8, -2, 12, 16, 4, 17, 19],\n [-3, 8, 16, -10, 20, 2, 2, 14, -18],\n [-3, -12, -1, 3, -4, -9, 12, -15, 9],\n [-15, 2, -14, 5, -18, 4, -18, -6, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29715", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-17, 17, 0, 9, -14, -8, -14, 2, -14, -11],\n [-7, -16, -2, 16, 12, -7, -18, -14, 9, 6],\n [15, 17, -10, 15, -5, -4, -2, 14, 17, -19],\n [18, 6, -20, -19, -6, -20, -15, 9, 6, -4],\n [19, 3, 1, -6, 0, 6, -5, -7, -17, 3],\n [-8, -16, 19, 12, 16, -13, 18, -2, -11, 18],\n [-2, 10, -7, 4, -13, -17, -16, 15, -15, 9],\n [19, 17, 16, 20, -2, -3, 0, 16, -4, 10],\n [0, -10, -5, -12, 2, 18, 2, -18, -15, -1],\n [-6, 9, 11, -15, 10, -5, 8, 1, 19, 7]]\nB =\n[[-6, 0, -13, -20, 9, -19, 3, -16, -9],\n [-16, 13, -7, -9, 6, -19, 15, 17, -18],\n [15, -13, -19, 20, 8, 4, -17, -11, -4],\n [-20, -18, 17, 9, -16, -10, -12, -7, -2],\n [-8, 0, 18, -19, 9, 2, 6, -20, -14],\n [-19, 2, 10, 8, -7, -16, -10, 20, 12],\n [8, -15, -14, -11, -1, -12, -4, 15, -15],\n [-20, -10, -4, 18, -12, -5, 6, 20, -16],\n [17, -13, -12, -8, -18, 6, 16, -1, 12],\n [-8, 3, 3, -1, 6, -3, 7, 15, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2007", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, -14, -6, -7, 14, 19, 10, 10, 5, 4],\n [-15, 6, 11, -9, 9, 3, 3, 1, -17, -2],\n [4, -16, -17, 8, -12, 17, 19, 13, -13, -10],\n [13, 11, 11, -16, 11, -16, 11, -20, -15, 18],\n [4, 6, -7, -12, 7, 3, -12, 15, 18, 16],\n [13, -18, 0, 18, 16, 15, -19, -4, 20, 8],\n [4, 0, -2, 8, -18, 18, -9, 5, 18, 10],\n [-13, 14, -16, 6, 5, 6, -8, 2, -20, 7],\n [-6, -8, 19, -16, 18, 5, -14, 14, 1, -12],\n [-20, -6, 9, -18, -15, 10, -16, -17, 4, -10]]\nB =\n[[-7, 4, 6, 8, 20, -20, -16, 0, 19],\n [16, 13, -19, -3, -6, 12, -10, 8, 8],\n [-13, -20, 9, -11, -15, -20, -12, -5, -18],\n [-19, -13, 9, -3, -18, -15, -8, -6, 1],\n [-2, -13, -7, 2, 4, 12, -20, -20, -4],\n [-3, 4, -6, 6, 9, -12, 4, 13, 19],\n [19, -10, -6, 8, 9, -10, -20, -4, -10],\n [8, -9, 9, 6, 15, -6, -12, 10, 4],\n [-6, 13, -5, 2, 12, 8, 11, 11, -5],\n [-6, 0, 7, -7, 0, 3, 14, 17, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4783", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 4) of the result:\nA =\n[[10, 1, 4, -17, 12, 15, 5, 8, -15, -2],\n [4, -11, 15, -11, -5, -6, 13, 19, -6, -20],\n [-15, -2, -15, -17, -11, 19, -12, -20, -4, 20],\n [7, -9, 20, 18, -5, -7, -15, 9, 5, -1],\n [-16, -6, 10, -3, -8, -10, -9, -2, -2, -20],\n [-7, -4, -19, 18, 17, 0, -1, 2, 9, -20],\n [-15, -6, -4, 15, 5, -19, -10, -11, -17, -2],\n [5, 18, -3, 1, 8, -6, 12, -10, -1, 6],\n [-6, -18, -5, 7, -6, 19, 5, 13, 15, 6]]\nB =\n[[-7, -18, -18, 2, -16, -19, 17, 15, -19],\n [-6, -19, 15, 7, -7, -9, 9, 14, -13],\n [11, -1, -6, -7, 5, 4, -2, -1, 5],\n [11, 2, -7, 1, 9, 7, 17, 19, 9],\n [-18, 14, -17, 18, 13, -10, -8, -19, 15],\n [9, -5, 11, -6, 2, 14, -4, -3, 11],\n [-5, -20, -7, -19, -15, 5, -13, 3, 18],\n [10, 0, -1, -19, 19, -1, 1, -8, -1],\n [10, 2, 5, 9, -12, 18, 11, 19, -9],\n [-9, 6, 5, -7, -7, -10, 13, -13, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 8) of the result:\nA =\n[[-6, -17, -20, 14, -15, -19, -2, 10, -2],\n [2, -12, -2, -8, -13, 7, 6, 17, -12],\n [-6, 13, 4, -20, -10, -6, 5, 17, 12],\n [14, 6, -9, -1, -9, 16, -15, -1, 2],\n [-6, 7, 13, -13, -1, -15, 5, -3, -7],\n [-1, -20, 2, 19, -5, 18, -2, -13, 3],\n [-5, -8, 9, -8, 0, -2, 6, 17, 17],\n [2, -5, 3, -5, -5, -10, 5, -5, 20],\n [-6, -3, 19, -3, 14, -16, -19, 9, 10]]\nB =\n[[4, 10, -2, 13, -3, 18, 12, -18, -3],\n [15, 5, 7, 11, 16, -14, 7, 11, 20],\n [15, 1, -12, -4, -11, 6, -4, 11, -10],\n [4, -4, 6, -6, -16, -8, -15, -1, -18],\n [7, -18, 12, -19, 16, 8, -7, -14, -17],\n [0, 4, -12, -9, -9, -16, 8, 6, 18],\n [-1, 8, -2, 15, 12, -13, 9, 13, 10],\n [-20, 14, -2, -3, -4, 10, -1, 8, 18],\n [0, -12, 9, 12, -3, -11, -20, 7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[18, -3, -12, 7, 2, 5, 12, -1, -5, -2],\n [11, -10, 19, 5, -20, 17, -9, -12, -13, 10],\n [-1, -2, 11, -16, 10, 1, -1, -9, -2, 16],\n [-19, -17, 9, 2, 0, -16, -14, -9, 20, -10],\n [-7, 18, -18, 2, -18, 15, 18, 3, 20, 12],\n [11, 9, 15, -18, -15, 11, -15, -17, -17, -8],\n [-18, 14, -5, 3, 19, 3, 3, 17, -16, -2],\n [-14, 9, 4, -20, -19, -13, -17, 11, 17, -15],\n [19, 12, 16, -11, 3, 15, -18, 16, 6, 3],\n [-5, 11, -5, -12, -5, -5, -17, -10, 3, 10]]\nB =\n[[3, 3, 3, 15, 11, -6, 1, 13, 18, -9],\n [-4, 20, -19, 18, -15, 10, 4, 7, 5, -17],\n [8, -6, 13, 12, -5, 19, 18, -16, 13, 1],\n [16, -11, 10, -7, 13, -2, 16, 0, 16, 3],\n [11, 9, 16, 17, -4, 15, 10, -4, -7, -15],\n [9, -2, 6, 19, 16, 10, -5, -8, -6, 5],\n [8, -20, 12, 13, 13, 13, 0, -14, -20, -20],\n [-3, 11, 10, -3, -5, -20, -10, 9, 20, 7],\n [5, 2, -11, -10, -15, 8, 1, -7, -15, -1],\n [-10, -19, 4, -6, 17, -16, -6, 5, -10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34032", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 6) of the product of the following matrices:\nA =\n[[16, 15, 20, 17, -10, 14, -12, -10, 20, 12],\n [12, 6, -3, -10, 9, -5, 3, -20, -10, -15],\n [-9, 5, -2, -20, 13, -1, -9, 3, 11, 12],\n [18, -11, 1, 20, -7, -17, 8, -15, 19, 18],\n [4, -13, -10, -20, -15, 17, 7, 11, -12, 13],\n [-19, 1, 18, 2, -18, -5, 20, 9, -2, 5],\n [-5, 1, -15, 16, -16, -7, 3, -7, -12, 19],\n [-10, -11, 10, 4, -1, 10, -5, 16, -15, -10],\n [19, -2, -20, 6, 0, 20, -7, -1, 14, 16]]\nB =\n[[10, -19, -3, 0, 4, -8, 15, -4, -9],\n [1, 3, -6, -14, -18, -1, 5, 7, 14],\n [19, -12, -14, 19, -7, -3, -11, 14, -6],\n [-17, -2, 7, 2, 1, 1, 13, 19, -10],\n [17, 10, 6, -16, 8, -16, -3, 8, -19],\n [-7, 2, 8, 18, -13, -17, 16, 11, 17],\n [8, 8, -20, -18, -2, -7, 11, 2, 5],\n [-3, -6, 4, 15, 17, 1, -3, -9, 6],\n [-1, -5, -6, -11, 18, -16, 14, -4, 20],\n [9, -17, 1, 10, 8, 20, -5, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1019", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 16, 16, 8, 20, 6, 10, 2, 4],\n [1, -8, -4, 18, -18, -20, -4, 8, -3],\n [-12, 5, 3, 12, -9, -6, -7, -12, 10],\n [13, -19, 17, 17, -20, 13, 2, -20, 12],\n [-10, -12, -14, 16, 3, -13, 15, -19, -15],\n [16, -9, -2, 8, -2, 10, 18, 8, 0],\n [14, 12, 0, -11, -17, -9, -11, -18, -13],\n [-16, 15, 1, 14, 2, -17, -5, 16, 1],\n [0, 6, 19, -13, -14, 13, 9, 4, 17],\n [-6, 7, 19, -12, -16, 16, 20, 1, 18]]\nB =\n[[19, -6, 14, 6, -4, -2, -3, -11, -19, -19],\n [6, -5, 11, 17, 5, 11, 13, -13, 15, 9],\n [-16, 11, -13, 1, 17, -20, -10, 17, -15, -1],\n [-1, -3, -3, -14, 11, 5, 3, -9, 5, 9],\n [-3, -17, 13, 2, 8, -12, 18, -9, 16, -9],\n [-5, -2, -9, -20, -20, -2, 16, 20, -19, -8],\n [-17, -2, 19, 12, -4, -4, -17, -13, 9, 16],\n [11, -19, 4, 5, 20, -8, -2, 3, -12, 14],\n [11, -20, 10, -3, -6, 3, -20, -6, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33357", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -8, -16, 16, -10, -15, 17, 4, 17],\n [18, 19, 8, 16, 19, 12, -14, -3, 19],\n [14, -11, 2, -7, -2, 9, -12, -16, 18],\n [11, 18, 19, 7, 15, -11, -17, 16, 7],\n [16, 3, 13, 6, -20, 0, -14, 19, -6],\n [-7, 9, -20, -18, 12, -10, 2, 20, 4],\n [-17, 19, 11, -1, -5, -1, 13, 3, -13],\n [-17, 9, -20, 6, 10, -8, 1, -14, -5],\n [6, 15, -18, -3, -7, -20, 18, -2, -18],\n [1, 20, -20, -14, 8, -14, -12, 11, 11]]\nB =\n[[-5, -16, 13, 11, 17, 19, -2, 12, 8, 0],\n [16, -14, -5, -8, 18, 16, -3, -11, 2, 2],\n [19, 15, 12, -9, -1, 13, -15, -11, -11, -18],\n [17, 7, -6, -12, -17, 17, 9, 17, 12, -9],\n [14, -9, 14, 17, -4, 12, 13, -2, -1, 5],\n [17, 10, -11, -13, -14, 12, 1, 14, -12, 17],\n [-2, 11, 13, -8, 1, 14, 20, -6, -6, 15],\n [11, -7, 9, -7, 7, 14, 17, 19, 13, -16],\n [3, -12, -10, -1, 13, 18, -16, 12, 7, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5965", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[20, 9, 6, -10, -4, 11, 2, -3, 1],\n [7, -6, -1, 11, 2, -13, -3, 15, 2],\n [1, 13, -1, 14, -5, -20, -8, 10, 5],\n [3, 7, 12, 3, -18, 3, -13, -7, -19],\n [-15, -9, 15, 5, 8, -17, 9, -5, -13],\n [11, 14, 19, 3, 10, 18, 13, -16, -7],\n [16, 15, -4, -1, -20, -5, 2, -10, -17],\n [2, 10, 10, -16, 6, 8, -8, 14, -12],\n [-3, -6, 3, 10, -14, -12, -5, 13, 11]]\nB =\n[[2, -1, 15, -12, -7, -1, -8, -4, 1, -16],\n [15, 11, 8, -9, 14, -17, -4, 0, -3, 18],\n [-12, -7, 3, -8, 14, -5, -17, -18, 13, -6],\n [10, -20, -20, 12, 5, -20, -5, 16, 14, -13],\n [14, -19, -3, -11, -11, -9, 18, 3, 1, 20],\n [-16, 1, -17, 20, -3, 9, 12, 1, -15, 17],\n [17, -10, 20, -14, 3, -13, -9, -11, -10, -1],\n [17, 2, 1, 1, 18, 20, -18, 14, -5, -3],\n [-8, 1, -12, -15, -12, -3, 12, 17, 1, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28503", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -5, -17, 15, -11, 11, 11, -7, -1, -3],\n [-18, -15, -3, 11, -12, 5, -2, -15, -19, 7],\n [-1, -7, 12, -17, 7, 16, 9, -3, -12, -14],\n [15, -6, 6, -16, 17, -16, 1, 2, -8, -15],\n [13, -19, -12, 1, 5, -1, -11, 0, -10, 19],\n [0, -3, -19, 15, 8, 1, -5, 3, -19, 10],\n [5, -14, 15, 16, -3, 6, 9, -11, 20, 10],\n [-5, -2, 15, 12, -15, -5, -17, -12, 4, 2],\n [-17, -16, 5, 6, -17, 0, 4, -10, 10, -4]]\nB =\n[[-14, 20, 6, -8, 10, -17, -12, 9, 3, -17],\n [-18, 18, 8, 0, -9, -3, -16, 2, -4, 16],\n [10, -9, 1, 18, -16, -1, -5, -11, -9, -15],\n [2, 4, 0, -2, 13, 19, -1, 20, -18, -14],\n [-18, -17, 13, -15, 0, -17, -9, 0, 13, -14],\n [19, 19, 0, 4, -15, 6, 14, -20, -4, -16],\n [11, -3, 20, 14, 15, -11, -19, -3, 14, 1],\n [-16, 3, 11, 13, 16, -10, -11, 2, 17, -11],\n [-14, -8, 2, -10, 14, -13, 2, 15, -14, -11],\n [-9, 10, -10, 16, 5, -16, -14, 15, -14, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34626", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[15, -15, 0, -20, -19, -18, 18, 13, -7, 4],\n [16, 16, -5, -6, 3, 20, -13, -19, 5, -3],\n [-3, -2, 16, 12, 11, 4, 6, 0, 2, -10],\n [0, 10, 14, 14, -5, 10, -8, -2, -11, 17],\n [-16, -17, 19, -9, 20, 5, -6, 11, 8, 9],\n [8, 6, -6, 15, 7, -5, -11, 13, -9, 4],\n [-13, 11, 3, -16, -2, -10, -4, 7, 3, 17],\n [-9, 10, -14, -18, -9, 5, 19, -18, 17, 8],\n [19, 0, 8, 8, 5, -5, -10, 17, 5, 9],\n [18, 2, -12, 7, 1, 7, -9, -2, -2, -1]]\nB =\n[[17, -1, -19, 2, -3, 0, 10, -16, -13],\n [-6, 16, -7, 7, -11, -15, -1, -17, -18],\n [10, -1, 4, 4, -9, -1, 20, 7, 10],\n [-12, -12, 18, -12, 12, 15, 17, 1, -20],\n [-7, -4, 3, -12, -11, -3, -12, -8, 13],\n [-17, 10, 10, 6, 20, 4, 3, -9, 0],\n [-4, -19, 7, -7, -12, -17, -16, -8, 0],\n [-7, -3, -12, 5, 6, 20, 0, 9, -11],\n [11, -15, 5, 3, 20, -7, 5, 15, -14],\n [16, 15, -19, 8, -1, 19, -12, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28336", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[14, 8, -3, 9, -8, -10, 4, 5, -1],\n [4, -11, -8, 11, 14, 4, 3, 8, 14],\n [0, -9, -14, -14, 0, -4, -17, 12, -13],\n [-3, -5, 10, 20, -4, 8, 20, -4, 5],\n [-11, -6, 10, 19, -13, 19, -19, -6, 3],\n [7, -15, 19, -18, -5, -19, -11, -18, -10],\n [4, -19, -12, -2, 9, -20, 2, 19, -20],\n [-10, -5, 8, 18, -14, 17, -17, 15, -11],\n [3, 9, -11, 20, -14, 12, -1, -15, 1]]\nB =\n[[-5, -5, 13, 2, -18, 1, 7, -2, 17, 19],\n [0, 12, -18, 12, -13, 18, -10, 7, 7, 8],\n [-1, 10, -4, -7, 15, 12, 0, 16, 13, -3],\n [-12, -3, -16, -9, -19, -19, 0, -5, 15, 14],\n [-1, 13, 13, -1, -9, 2, 12, -14, -17, -6],\n [-10, -16, -7, 19, -12, 11, 0, 4, -3, -10],\n [16, 10, 10, 20, 19, -3, 1, -4, 2, 17],\n [7, -14, 13, -19, -19, 1, -20, 13, 16, -10],\n [6, -7, -13, -4, -8, 19, -14, -6, 20, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7592", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[15, -7, 9, 15, -7, -17, -12, 12, -13],\n [-6, 17, 8, -20, 17, 6, -7, -13, -14],\n [3, -5, -20, -9, 20, -11, 14, 13, -12],\n [1, 16, -9, 15, 11, -4, -19, 10, -1],\n [17, -16, -13, -5, 11, -18, -12, 15, 12],\n [-15, 11, -3, -17, 7, 14, 13, 13, 16],\n [12, -5, 17, 16, -4, 2, -10, 13, 4],\n [-2, -13, -17, -15, 3, -1, -18, 20, 2],\n [-2, -20, -18, 2, -20, -16, 7, -16, -2]]\nB =\n[[-8, 9, -13, -4, 4, -9, 8, -20, -19],\n [13, 12, -20, -11, -3, 1, 10, -19, 2],\n [-18, 3, 4, 20, -8, -11, -15, -16, 18],\n [-5, 0, 19, -16, 12, -18, -6, -11, -20],\n [-11, -5, 10, 7, 16, 6, -10, 0, 16],\n [17, 13, 1, -11, -17, -16, 2, -5, -2],\n [-6, 4, -9, 12, -13, -18, 18, 17, -16],\n [18, 11, 2, -2, 6, 0, 13, -19, -12],\n [10, 11, -11, 15, 4, -20, 1, -16, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4489", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-4, 1, -2, 14, 14, -2, 6, -10, 7, -11],\n [14, -3, -16, -15, 1, 9, -3, -20, -17, 3],\n [-4, 0, -13, -3, 12, 9, -12, -10, -17, -19],\n [6, -3, 16, 13, -10, -19, 10, 4, -2, 11],\n [15, -14, -7, -20, 12, 13, -5, 10, -19, -9],\n [-2, -6, -5, -5, 7, -10, -15, 6, -4, 18],\n [-10, -8, -8, -13, 4, 20, 16, -7, 0, -1],\n [-1, 6, 12, 10, -5, -14, -5, -17, -18, 9],\n [-2, 6, 8, -4, -20, 0, 12, 4, -10, 14]]\nB =\n[[15, 18, 7, -1, 18, 4, -13, 11, -1],\n [20, -1, -12, -8, 17, 1, 9, 16, 2],\n [-10, -7, -5, 18, 7, 19, 6, -11, -1],\n [6, 1, 11, 11, 17, 19, -16, 19, -12],\n [-14, -3, 19, -20, -15, -7, 3, -4, -4],\n [0, 14, 13, -8, -7, -17, 3, -15, -1],\n [11, 2, 20, -7, 1, -4, 19, -19, -14],\n [14, 15, -7, -1, 7, -8, -14, -18, -16],\n [12, -12, 6, -6, 13, -3, -17, 13, 0],\n [-3, 15, 14, -14, 13, 16, -19, 20, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1290", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 9, 10, -13, 17, 14, -14, -3, 15],\n [0, -17, 11, -5, -3, 13, 1, 6, -9],\n [20, 11, -14, 19, 17, 19, -11, 15, -11],\n [-14, -18, -9, 11, 9, -11, 0, 17, -1],\n [-6, 0, 10, -2, -13, 1, -9, -4, -9],\n [10, -13, -3, 6, -15, 7, 8, -3, 2],\n [15, -11, 6, -3, 20, -8, 2, 19, 2],\n [19, 8, -11, 9, 1, 10, 2, -17, 19],\n [-19, -7, 19, 5, 1, 19, -3, -13, 15],\n [-10, -5, -6, 19, -2, -13, -4, -3, -19]]\nB =\n[[16, 3, -4, -6, 3, 2, 6, 1, -8],\n [-9, 14, 7, -11, -11, 3, 7, 18, 16],\n [-12, 15, 14, -19, 20, 17, 2, -9, 0],\n [8, 15, 16, 6, -15, -1, 20, 1, 2],\n [13, -17, 11, -5, -17, 7, 7, 20, 1],\n [-13, 5, 18, 9, -12, 5, -10, 4, 13],\n [6, -11, -6, -16, -9, -13, -15, 3, -20],\n [4, -10, 2, 15, 19, -14, 6, 0, -16],\n [12, -5, -10, 11, 3, -12, 15, -14, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26961", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 18, -8, -14, 0, 18, -8, 15, -9, -13],\n [15, 2, 13, 2, 17, 8, 3, 1, -9, -5],\n [-20, 9, 15, 3, 18, 17, 11, 11, -9, -11],\n [-9, -8, -6, 9, -8, -20, -3, 18, -9, -12],\n [-17, 6, 7, 3, -17, 7, -1, 8, 12, 9],\n [-18, -2, 0, 19, 0, -1, 12, 17, -12, 10],\n [11, 20, 2, 2, -5, 0, -9, -15, -7, 1],\n [10, 19, 7, -16, 5, 6, 8, -5, 5, -13],\n [-10, -18, -19, -20, -20, -1, 10, -5, -18, 18],\n [-15, 16, 20, 15, -9, -11, 14, 18, -19, 10]]\nB =\n[[19, -6, 12, -19, 6, 3, 6, 10, -14, 5],\n [1, -19, -5, 4, -5, 2, 15, -7, 19, -12],\n [19, 10, -14, -20, 0, 8, -13, -12, -2, 14],\n [6, 0, 2, -7, -9, -16, 13, -14, -16, 14],\n [4, 9, -10, -13, 17, 7, -9, 13, 10, 0],\n [-5, 3, 1, -8, -12, -13, 2, -11, 20, -4],\n [8, -19, -10, -13, 0, 12, -14, 20, 4, -12],\n [17, 6, -11, 5, 6, 1, -1, 5, 16, 15],\n [8, -8, -14, -10, -18, 14, -20, -20, 12, 5],\n [-18, 3, 14, 19, -5, 14, -7, 12, -12, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3446", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, -11, -10, 5, 5, -7, -5, 18, 9, -12],\n [-8, 18, -20, 18, -19, 2, 13, -20, 20, -16],\n [18, 11, -11, 1, 3, 14, 10, 0, -11, 6],\n [12, -5, -16, 3, 6, -7, -11, -5, 8, -6],\n [1, -15, 6, 8, 7, -2, 12, -11, -10, 9],\n [-7, -5, -14, -17, -5, 14, -12, 15, -12, 11],\n [5, -2, -17, 10, -8, -11, -1, -15, -13, 14],\n [-6, 8, -13, -12, 8, 2, -9, 7, -6, 14],\n [8, -3, 19, -3, -11, -14, -19, -3, 14, 17]]\nB =\n[[-11, -1, -11, -8, 3, -10, -1, -5, 14],\n [-8, -12, 10, 15, -7, -9, 2, 11, -20],\n [-5, -10, 8, -19, -5, -5, 6, 15, 12],\n [5, -10, -14, 17, 17, 4, -13, 7, -15],\n [19, 8, -18, 15, -15, -20, -6, 8, -6],\n [-9, -15, 16, -14, 19, 18, 18, -17, -11],\n [-8, -14, 14, -16, -3, -14, 17, -13, 18],\n [5, -15, -3, 17, -11, -12, 19, -9, 8],\n [0, 0, 6, -9, 8, 5, 5, 7, -7],\n [4, 18, -13, -6, 6, 20, 14, -16, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 5) of the product matrix AB given:\nA =\n[[0, -1, -15, 8, 19, -18, 15, -4, 16],\n [4, 14, 0, -19, -10, 17, -4, 10, -2],\n [8, -8, 0, 16, -16, 7, -6, 6, -17],\n [17, -18, 8, -10, 15, 6, 18, 14, -16],\n [-5, 0, 4, 9, -18, 16, -14, 18, -18],\n [20, -13, 0, -3, -11, -1, 19, 19, 8],\n [9, 15, 11, -15, -2, 10, 12, -17, -10],\n [-15, -9, 16, 10, -4, -17, -6, 17, -9],\n [-11, -15, 1, 20, 10, -5, -13, 18, 15]]\nB =\n[[-18, 8, -18, -11, 11, 0, -15, 11, 7, -17],\n [9, -4, 7, 18, -11, -20, 10, 11, -1, 8],\n [16, 4, 17, -20, -6, 13, 2, 8, -8, -19],\n [19, -16, 1, -6, -8, 9, 4, 0, -4, 15],\n [18, 13, 20, 13, 17, 17, 5, -19, 13, 17],\n [20, 15, 13, -17, -10, -8, 18, 15, -16, 18],\n [-10, 6, -18, 7, 14, 16, -7, 8, 16, -4],\n [-7, 10, 17, -16, -3, -3, -6, -17, 17, 20],\n [-12, -2, 4, -1, -7, -13, -12, 0, 13, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[20, -8, 5, 16, 9, -1, -14, -1, -5, -19],\n [-11, 20, 14, 7, -11, -8, 1, 13, -5, -13],\n [-1, -11, 8, 9, 3, -19, 13, 0, 13, 11],\n [9, -7, -2, 9, 20, 6, -5, 4, 4, 3],\n [-18, 3, -10, 11, 2, -9, 18, 0, 16, 13],\n [0, 5, 15, 13, -12, -3, 18, 9, -18, -19],\n [-18, -6, 20, -18, 17, 13, -4, -18, -14, 10],\n [-11, 14, 7, -1, -20, -8, -13, 3, 1, 6],\n [12, 5, -18, 9, 17, -11, -15, -4, -14, -7],\n [13, -15, 12, -3, -15, -3, 9, -17, 4, -18]]\nB =\n[[-16, 19, -16, -11, 17, -1, -8, -20, 9],\n [15, 17, -13, -12, 20, 12, 16, -15, -4],\n [2, 16, -19, -3, 17, 7, -7, 1, -20],\n [20, 18, -13, 6, -11, 13, 20, 12, 16],\n [-13, 9, -1, -20, -14, -10, 18, -14, 15],\n [-1, 12, 13, 2, 3, -12, 2, -4, 18],\n [13, -15, -18, 17, 17, -13, 19, -12, -6],\n [9, -17, 8, 12, -15, 8, -2, 16, 6],\n [-10, -12, -5, -3, -8, -14, -4, -12, 11],\n [5, 1, 7, -5, 15, 4, 7, 8, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2363", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 9, 19, 4, -3, 16, -12, -6, 8],\n [16, -16, -12, 16, -11, 4, 17, -11, 17],\n [-1, -12, -18, -10, -17, 7, 20, 17, -10],\n [11, -3, 19, -2, -5, -18, -8, 16, 9],\n [-7, 15, -15, 11, 20, 19, 11, -9, 18],\n [4, 4, -13, 14, -15, -17, 14, 5, 10],\n [0, 3, -11, -14, 5, 7, -19, -7, -14],\n [-4, -6, 1, 11, 5, 2, 5, 3, 1],\n [6, 0, 16, -13, -7, -19, -14, 6, -13],\n [-17, -11, -11, -5, -18, 2, -19, -20, -10]]\nB =\n[[16, -1, 0, 9, 4, -4, 19, 2, -2, 0],\n [-14, -15, -19, -18, 20, -10, 1, -12, -1, -19],\n [-5, 5, 2, -7, 0, 2, -9, -17, -4, 10],\n [7, 18, 15, -7, 10, 12, -12, 1, 15, 9],\n [-12, -12, -9, 7, -5, 16, -15, -12, 13, 10],\n [-14, 11, 3, 9, 5, 12, 5, -2, -20, -1],\n [17, -9, 1, -14, 1, 6, -7, -8, -1, -13],\n [-3, -17, 2, 2, -17, 20, -19, 1, -20, -11],\n [13, 10, -7, -2, 8, 15, 9, -10, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5785", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-19, 18, 4, -13, 11, -14, 1, 8, -19],\n [17, -6, -1, 5, -10, 2, 20, -17, -17],\n [-20, 2, 3, 6, -14, 13, -17, -19, 2],\n [15, 1, -11, 14, 20, 6, 3, -14, 0],\n [-13, 15, -16, -5, -3, 17, 2, 16, 0],\n [1, -8, 15, -10, -15, -12, -1, 18, 3],\n [-9, 14, 18, 4, 6, -20, -9, -20, -8],\n [18, 19, -15, 8, -17, 2, -13, 16, -19],\n [-17, 2, 0, 5, 19, 9, 12, 1, -9],\n [-15, -1, -14, 9, 20, -13, -4, 7, 11]]\nB =\n[[-12, -17, -18, 15, -14, -11, 12, -7, -3],\n [12, 5, 18, -4, 7, -19, 19, 16, 11],\n [6, 10, -17, 14, 11, -10, 2, 2, 18],\n [14, -4, -1, 11, 17, -16, -6, 11, 13],\n [5, -6, -12, -16, 13, 12, 0, -18, 9],\n [-16, 3, -5, -15, 19, 14, 5, -20, -1],\n [-10, -1, 18, -17, 17, 9, 15, 1, 19],\n [-3, -16, 9, -16, 18, -7, -10, 0, -10],\n [11, 8, -18, -8, -15, 7, 10, 2, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29788", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[17, -15, 1, 19, 13, 17, 17, -14, -20],\n [11, 1, 19, -18, -17, -4, 14, 2, 8],\n [-19, -15, 3, -19, -9, -16, -6, -8, -11],\n [1, 8, -14, 1, -17, -19, 1, 3, 5],\n [1, -16, -11, -2, 20, 1, 6, -19, 0],\n [4, 1, -12, 10, -20, -6, 9, -8, -7],\n [13, 4, 12, 0, 11, -5, -16, 6, 5],\n [-2, 1, -11, -6, 13, 9, 14, -7, 2],\n [-14, 5, 8, -11, 9, 2, -11, 5, -3],\n [-20, -18, 20, -11, 8, -16, -16, -6, 5]]\nB =\n[[5, 15, -17, 5, 8, 18, 1, -20, 7, 18],\n [-2, 20, -9, -15, 14, -10, -20, -20, -14, 8],\n [13, -14, 10, -20, 16, 5, 8, 14, 16, -11],\n [-16, 9, -17, -14, -1, 7, -14, -10, -7, -13],\n [3, 10, -19, -13, 6, 3, -15, -10, -5, 8],\n [20, 9, -14, -5, 15, 10, -10, -2, -7, -6],\n [-13, -9, 3, 17, -8, -3, 14, 8, -1, 13],\n [-18, 19, 14, 10, -14, -12, -4, -14, -16, 3],\n [-6, -19, -6, 0, 16, -7, -19, 4, 6, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 6) when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, -11, 10, -8, -8, 6, -2, -2],\n [16, 20, -6, 7, 15, 7, 12, 1, -12],\n [15, -15, -19, 5, -16, 2, -15, -20, 14],\n [20, 12, 5, 4, -8, -4, -5, 9, -19],\n [-17, -8, 17, -4, 2, 8, -12, -6, -19],\n [8, 13, -4, -7, -6, 5, 13, -18, -3],\n [16, 15, 18, -14, 2, 16, 5, -6, 3],\n [-1, 16, 3, -7, 11, 14, 2, 12, -19],\n [-8, 9, 13, -10, 16, -9, -3, -1, -8]]\nB =\n[[-15, -11, 12, -17, -17, 20, 16, -9, -16],\n [4, 4, 12, -6, -1, 18, -9, -7, 1],\n [3, -9, -1, 7, -10, 1, 12, -7, -8],\n [4, 19, -5, 9, -20, 7, 10, 15, -19],\n [16, -19, 12, 15, 9, 13, -3, 15, 3],\n [-20, 3, 0, 8, -8, -11, -8, -10, 17],\n [-15, -11, -8, 14, 1, -4, -18, 9, 13],\n [6, -17, 12, 10, -2, -10, 16, -6, -1],\n [16, -13, -19, 17, 6, -7, 3, 14, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[13, -4, 12, 2, -13, 12, -2, -9, -17],\n [10, 0, -9, -14, -3, 18, -10, 12, 1],\n [-13, 18, 10, 6, 7, 2, 20, 6, -11],\n [2, 12, 5, -8, 10, 6, -8, 13, -14],\n [-9, -16, 17, -15, 5, -2, -6, -12, -8],\n [14, 13, 13, 8, 18, 6, -9, 18, -19],\n [15, -3, -15, 9, 0, 1, -10, 18, 19],\n [-14, -14, 10, -15, 5, 15, -12, 15, -18],\n [10, 9, 10, 19, 9, -12, -15, 4, 9],\n [5, -18, 1, -12, 14, -14, 16, -12, 6]]\nB =\n[[7, 12, -15, -4, 2, 4, -2, 8, 10],\n [-15, 16, 13, 3, -11, -10, 3, -19, 8],\n [-5, 2, 14, 1, 14, -15, 2, 2, 9],\n [16, -1, -10, 3, -3, 6, -14, 0, -6],\n [-13, 7, 0, -13, 7, 13, -6, 16, 6],\n [20, 5, -9, 13, 10, -18, 5, -15, -1],\n [19, -4, 20, -20, -8, -3, 0, -9, -9],\n [5, 19, 7, 4, 0, -10, -12, 14, 15],\n [8, 19, -4, 16, -13, -16, 2, -11, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27820", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -5, 6, 11, 19, 14, 16, 3, 10, 14],\n [-5, 19, 15, -9, -5, -16, -16, -1, 17, 15],\n [11, 19, -10, -10, 7, -9, 10, 19, 9, -1],\n [6, 4, 13, 14, -16, 19, 18, -13, -2, -3],\n [-5, -2, -6, 8, -6, 8, -4, -6, 19, -10],\n [-18, -8, 17, -12, -1, 5, -9, 10, -19, 12],\n [-5, -16, -4, 19, 11, -6, -9, -4, -11, 5],\n [7, 7, 2, -1, -4, -13, -6, 20, 2, -7],\n [19, 6, -8, 18, 4, 5, -10, 17, -12, 12],\n [-5, -1, -14, 12, -8, 14, -17, 10, 9, -18]]\nB =\n[[20, 6, 11, 17, -15, -13, 3, -6, 4, 6],\n [-8, -1, -16, 17, -14, -16, 7, 16, 8, 16],\n [-14, 5, -2, -11, -1, 10, 15, -15, -6, 3],\n [9, -12, -20, -6, -15, -6, -14, 6, -11, 11],\n [0, 16, 17, 15, -7, 18, 20, -7, -19, 3],\n [-11, -15, -18, 13, 5, -11, 17, 0, 4, -19],\n [15, -20, 15, 3, -11, 14, 1, 13, 11, -5],\n [9, 15, 10, 9, -16, 3, 15, 6, -7, 16],\n [-8, -1, 7, -15, -12, 1, 2, -13, -20, -14],\n [-9, 18, -4, -5, -17, 16, -12, -12, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3391", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[13, 2, 14, 19, -12, -8, -19, -19, 8, 1],\n [0, -15, 7, -5, -20, 2, -13, -13, -20, -10],\n [-13, 10, 15, -13, 3, 6, 8, -3, -12, 15],\n [17, -7, -8, 19, 3, 18, -7, -13, -9, 10],\n [13, 15, 0, -17, -10, 16, 20, -14, -9, -16],\n [-18, 11, 19, 14, 15, -9, 9, 12, 19, 20],\n [-18, 5, 17, 20, 13, -18, -7, -7, -4, -6],\n [-9, 18, 20, 9, -14, 14, 10, 19, 16, -7],\n [7, -9, 20, -15, -17, 12, -16, -12, 18, -3]]\nB =\n[[11, 10, 13, 19, 6, 16, 16, 18, -8, -17],\n [-12, -13, -15, 12, -15, -4, 16, -8, 1, -2],\n [7, 4, -13, 11, -10, 17, -3, 6, 17, 16],\n [15, 20, 13, -6, -8, 6, -2, 15, -8, -14],\n [-20, 20, 0, -5, 8, 3, -2, 6, -20, 6],\n [-7, -10, 2, -1, 5, -3, 15, 9, -17, -2],\n [-16, -19, -11, -10, 1, -13, -18, 20, 19, -3],\n [1, -10, -19, 1, 20, -6, -13, -2, -12, -16],\n [-13, 12, -6, -6, 20, -14, 0, 5, -20, 5],\n [5, 7, -12, 5, -8, -16, -3, 2, 7, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7799", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-16, 6, -1, 15, 16, 13, -7, -15, 6],\n [-19, -12, -10, -16, -10, -18, 5, -7, -12],\n [-2, -4, 3, -7, -11, -14, -8, 14, 10],\n [17, 16, 8, -15, -13, 4, -16, -11, 2],\n [-20, -8, 16, 5, -2, 5, -19, 20, -2],\n [-9, 14, 11, -8, 15, -20, 12, -17, -19],\n [-13, -5, 1, -11, -12, -14, 19, -4, 9],\n [-10, -6, -14, -18, 2, 6, 9, -5, -7],\n [1, -1, -11, 8, -17, 10, -7, -16, 17]]\nB =\n[[-17, -10, 4, -9, 10, -10, 18, 11, -10],\n [-14, -19, -20, 4, -12, 15, 8, -11, 6],\n [-2, -2, -1, 8, -18, 1, 1, 8, 2],\n [19, 5, 1, 17, -12, 0, 15, 15, 11],\n [11, 13, 2, 5, -5, 17, -18, -19, 15],\n [-12, 7, 3, 7, -14, 5, -20, 20, 20],\n [14, -3, 1, -8, -5, 8, 0, -12, 8],\n [-9, -13, -11, 13, -1, -5, -10, -7, 10],\n [19, 13, -17, -14, 17, -20, 3, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2182", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, 17, -11, 5, -19, 12, 7, 6, -15, -4],\n [12, -6, -18, -11, 8, -14, 15, 1, 10, 18],\n [-7, -19, -15, -2, 6, -15, -19, -8, -11, 19],\n [-16, -7, 10, 4, -15, -9, -18, 2, -20, -6],\n [19, -8, 17, -7, -2, -12, 7, 12, 12, 18],\n [12, -17, -3, 5, 4, 14, 18, -3, 12, -3],\n [8, 20, -13, -19, -17, -6, -13, 9, 18, 3],\n [20, -9, 15, -7, 11, -7, 7, -1, -8, -4],\n [9, 19, -4, 11, -2, -12, 5, -20, -2, -9]]\nB =\n[[7, 17, 10, -8, -10, -9, 2, 8, -12],\n [-7, 11, -18, -14, -15, 14, 6, 7, 2],\n [-11, -4, -6, -7, -10, 8, -3, 5, 4],\n [19, -20, -18, -2, -10, 7, -3, -7, -8],\n [-2, 11, 12, -15, 9, -11, 9, -12, -15],\n [-15, -1, -4, -19, -19, -11, -20, 13, 15],\n [19, -1, 11, -4, 18, 1, -16, -20, 10],\n [-3, -16, 4, -14, -7, -14, 9, -4, -8],\n [3, 15, -9, -3, 2, 1, 4, 4, 15],\n [0, 8, -13, -16, -19, 2, -19, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 19, 10, 4, -14, 4, -3, 11, -13, -7],\n [-15, 2, -6, 1, 15, -18, -12, -16, -9, 8],\n [-20, 12, 0, 0, 6, -19, -13, -9, 1, -12],\n [17, 8, -18, 1, -17, 8, 20, -8, 3, -19],\n [-18, -6, 3, 5, -13, 19, -16, -13, 18, 11],\n [10, -13, -4, 2, 18, -8, -6, 7, 9, -6],\n [17, -13, -6, 17, 18, 13, 15, -1, -8, 0],\n [2, -18, 1, 8, 19, 9, 3, 4, -9, -1],\n [12, 18, 1, -2, 11, 5, -14, -13, -10, 19],\n [-5, -12, 20, -17, -10, -11, 8, 20, -16, -18]]\nB =\n[[-8, -5, 20, -13, 7, 3, 17, -19, -15],\n [-2, -3, 17, 3, 18, -1, 3, -19, 15],\n [-5, 14, -14, 9, 14, 18, -5, -5, 3],\n [-7, -5, 11, -14, 4, 2, -19, -12, 16],\n [11, 1, -3, 2, -12, 6, 13, -12, 0],\n [-4, -16, -7, -3, 3, -12, 10, 0, 14],\n [5, -4, -17, -14, -18, 20, 10, 0, -7],\n [6, 17, 2, -11, 0, -18, -10, -8, -12],\n [-6, -19, 3, -8, 3, 2, 13, -18, -7],\n [5, -20, 8, -9, -16, 20, -14, 14, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2670", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 11, 7, 5, -11, 12, -12, 14, -15, -3],\n [-17, -2, -15, 12, -17, 12, -17, 0, 7, -14],\n [-13, 14, -9, -2, 17, -3, 7, 17, 11, 9],\n [11, 1, -16, -14, -12, -18, -2, -3, 9, 16],\n [-13, 8, -4, -2, -7, -5, -6, 15, -3, 19],\n [16, 10, 19, -8, -12, 17, -14, 12, 3, 15],\n [6, -11, -8, 1, -15, 0, 6, 13, -15, -14],\n [14, 9, -10, 9, 0, 20, -10, -15, -2, 4],\n [11, 6, -9, -8, -16, -9, 5, 14, -3, -3],\n [20, -18, 5, -6, 17, 5, 20, -20, -7, 14]]\nB =\n[[-12, 6, 20, 11, -16, 11, 10, -15, 10, 10],\n [18, -14, -11, 10, -16, 11, -7, 20, -7, -13],\n [-1, 20, 18, -11, -11, -13, -4, 17, -8, 16],\n [15, 0, -19, 9, -2, 19, -6, 3, -8, 3],\n [-20, -3, -3, 18, 16, -10, 7, -10, 11, 13],\n [20, -20, -6, 3, 19, -19, -15, -19, -4, -14],\n [-18, 3, -9, -3, -13, 5, -20, -20, -18, -17],\n [3, -9, -7, 19, 3, 9, 18, 12, 0, -6],\n [11, 16, 10, -20, 12, 13, -10, 19, 15, 13],\n [-12, 10, 8, -8, -11, -12, -18, -3, 6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1082", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-13, -8, -3, 5, -5, 0, 4, -17, 12, 9],\n [10, 12, -15, -6, -6, 18, 10, -12, 11, 17],\n [0, -9, 14, -6, 7, 11, 5, -11, 20, 2],\n [-20, -5, 0, -4, -1, 5, -4, 4, 4, -17],\n [7, -20, -7, 1, -7, -6, -16, -6, 13, 8],\n [1, -5, -14, -20, -14, 1, -13, 17, -20, 2],\n [11, 4, -13, 3, 15, -16, 16, 3, 20, -13],\n [-19, 11, 2, 11, -18, -3, 14, 7, -1, 1],\n [-20, -13, -13, -1, -4, -6, 1, -5, 12, 3],\n [-1, 9, 12, 4, 15, -13, 9, -5, 19, -6]]\nB =\n[[6, -11, 3, 10, 17, -2, -20, -19, 18],\n [-9, 9, 19, -8, 4, 12, 4, -3, -13],\n [11, -9, -2, 0, -19, -10, 4, -20, 14],\n [12, 20, 6, 0, -7, -18, 20, 8, -4],\n [-17, 1, -7, -7, -12, -19, 16, -16, -3],\n [11, 20, -12, -17, -18, 16, 0, 18, 9],\n [16, 3, -20, -5, 7, 9, -2, 2, 13],\n [16, 2, -5, 20, 11, -5, 14, 6, -18],\n [-1, 6, -19, -8, -15, -7, 3, 6, -12],\n [2, 14, 16, -7, 5, -13, 10, -13, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -5, 10, 10, 14, 16, -7, 18, 4],\n [-20, 8, 7, 8, -11, -13, 19, 9, 9],\n [20, -15, -6, 3, -8, -12, -1, 15, -8],\n [6, -3, -13, -13, 3, 19, 6, -1, 14],\n [-13, 3, 19, -9, 12, -7, 0, 12, 20],\n [-20, -15, -7, 7, 4, 18, 2, 18, -4],\n [10, 7, -14, -3, -5, -15, -19, -1, 2],\n [-19, 4, -15, 19, 8, -12, -12, -7, -6],\n [-5, -12, 7, -17, 19, -9, 1, -20, 19],\n [-17, 12, -1, 14, -19, -11, -13, -7, 6]]\nB =\n[[-8, -8, 8, -13, 3, -16, 7, -19, 0],\n [17, 6, -13, -9, -11, -14, 20, -11, 8],\n [4, 5, 5, -15, 1, 18, -9, -14, 5],\n [-8, -3, -16, 10, -4, -6, 13, 1, -16],\n [-5, 12, 20, -17, 12, 7, -10, -16, 20],\n [-14, 3, -17, -9, -17, 4, -18, -4, 5],\n [-12, -8, -16, -16, -9, 7, -11, -20, 14],\n [7, -19, 2, -16, 12, 10, -6, -20, 8],\n [3, -12, 14, -5, -13, -13, 2, -4, 6]]\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 sum of absolute values of all entries of the result:\nA =\n[[8, -10, 2, -17, -4, -10, -13, 5, -13],\n [-13, -14, 13, 11, -8, 15, -3, -8, 9],\n [-20, 14, -18, 9, 4, 12, -5, -18, 8],\n [-7, -16, -4, 8, 0, -15, 3, 7, -4],\n [1, 3, 19, -3, 7, -11, -20, 16, 5],\n [5, 12, -12, -3, -16, 1, -11, -7, -9],\n [11, 18, 15, -6, 12, -5, -17, -18, 5],\n [16, 13, -12, -7, 12, 17, -16, 7, 12],\n [-4, 0, -14, 19, 14, -14, -13, 10, -16]]\nB =\n[[-16, 3, 1, -8, 1, 5, -20, -4, -2, -19],\n [-10, 9, 2, -6, 2, -9, 6, -15, 9, -16],\n [17, 14, -15, -7, -4, -12, 19, 10, 15, -11],\n [6, -16, -4, 10, -7, 2, 8, 18, -6, -9],\n [12, 19, 9, 1, 9, 11, -1, 17, -1, -19],\n [10, 7, -18, -1, 14, -2, -15, -10, -15, -3],\n [-7, -7, -20, -4, -7, 10, -11, 17, 12, -16],\n [-5, -1, 1, 19, -4, -12, 17, -12, -6, -7],\n [-12, -12, 12, 10, -11, -11, 18, -16, -3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26072", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, -9, 4, 6, 20, -12, -8, 1, -19, 18],\n [-6, 2, -8, -1, -8, 6, -4, 10, 5, 1],\n [20, 11, 1, 7, -20, -17, -5, 2, 17, 20],\n [15, -7, -18, -20, -5, -13, -20, 0, -19, -9],\n [-7, 1, -1, -4, -14, 0, 13, 1, 1, 0],\n [-8, -15, 4, 10, 4, 11, 8, 14, -9, -5],\n [-12, -8, -9, 5, -6, -17, -11, 17, -9, 1],\n [17, 9, -6, 15, -16, -17, 5, -2, -7, 6],\n [17, 5, 2, -19, -8, -9, 16, 19, 15, -18]]\nB =\n[[-17, 10, 20, 7, 19, -10, -5, 17, 8],\n [-6, 0, -7, -5, 6, 7, -7, 15, -11],\n [-12, 7, -7, -2, -8, 16, 18, -18, -14],\n [7, -7, 16, 1, 10, -20, -9, 3, 9],\n [6, -5, 0, -17, -19, 0, -14, 16, -14],\n [-19, -9, -20, -18, -20, 14, -5, -13, 0],\n [-16, 10, 5, -20, 2, -8, 11, -16, -1],\n [7, -14, -8, 11, -3, -13, 8, -1, 5],\n [-3, -19, 3, -13, 1, 13, 11, 14, 4],\n [-14, -7, 8, 16, 16, -14, 12, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2246", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) when matrix A is multiplied by matrix B?\nA =\n[[4, -13, -9, -18, 10, -13, -17, 11, -14, -7],\n [13, -16, -9, 16, 6, 0, -8, 4, 13, -4],\n [0, -6, 5, 12, 14, 5, -9, 1, -11, -12],\n [15, 13, 0, 12, -11, -14, 7, -3, -6, 19],\n [9, 4, 9, -5, -11, 4, -9, 19, -20, -12],\n [-1, 17, -3, 8, 16, -9, 16, 11, -9, 16],\n [18, -9, 12, 11, 12, 3, 10, 9, 5, -19],\n [-4, -20, 10, 8, -10, -17, 15, -13, 15, 0],\n [-10, -9, 5, 6, 13, -11, -12, 18, -8, -9]]\nB =\n[[-4, -17, 18, 7, 20, -1, -14, -13, 14, 8],\n [-6, 10, -9, 0, -5, 18, 11, -15, 3, 11],\n [-3, -11, 8, -12, -8, 6, 16, -13, -19, -17],\n [-11, -7, 4, 20, -7, -11, -13, -15, -16, 0],\n [2, 16, -2, -1, -11, -3, -1, -10, -6, 11],\n [-10, 8, 19, 18, -20, 6, 14, -13, -9, 7],\n [-2, 8, -3, 13, -2, 3, 13, 11, -19, 11],\n [-13, -12, 2, 8, -14, -16, 19, 11, 19, -18],\n [-11, 19, 8, -2, 4, -1, 17, -11, -10, -7],\n [10, -16, 7, -2, 12, -19, 8, -3, -11, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 1, 6, 6, 1, 0, 10, 13, -15, -8],\n [19, -6, 6, 10, 2, 14, -13, 12, 7, -14],\n [15, -8, 10, -8, 14, -14, 1, 19, 13, -12],\n [11, 14, -18, 0, -8, 12, 15, -11, 15, -3],\n [10, 19, -20, 10, 5, -5, 17, -9, 8, -9],\n [-16, -19, -9, -7, 9, 14, -4, -18, -12, -14],\n [-1, -9, -14, 8, 8, -3, -19, -10, 5, 6],\n [-2, 17, -1, 3, 18, -8, -15, 19, 16, -20],\n [-19, 17, 20, 9, 3, 20, 17, 6, 9, -12],\n [16, -5, 14, 7, -9, -9, -12, 8, 0, -4]]\nB =\n[[12, 13, 5, -3, 13, 17, 4, 13, -6],\n [-19, 2, -15, 18, -2, 13, 16, 2, -6],\n [-19, 17, 4, -13, -10, 8, -16, 16, -1],\n [-9, -5, 0, 16, 0, 7, 13, -13, 10],\n [0, -18, 0, 8, 11, 5, -8, -6, -19],\n [12, 10, -20, -6, 18, -6, -1, -14, 15],\n [-9, -8, -16, -15, -16, 18, -15, -15, -10],\n [6, -5, -18, 1, 11, 4, -3, -2, 9],\n [14, 6, -3, -8, 10, -18, 10, 3, 16],\n [1, 12, -6, 17, -7, -6, 8, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30261", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 5) when matrix A is multiplied by matrix B?\nA =\n[[-17, 12, -16, 7, 14, 11, 8, 3, 9],\n [-12, -3, -10, 1, 16, 2, 8, -8, 11],\n [-11, -15, 0, 14, -18, 0, -1, 13, -18],\n [19, 16, -16, -10, -4, -17, -13, 20, 1],\n [11, 6, -15, 10, -17, 18, 9, 12, 10],\n [7, 4, -4, 10, 15, -4, -11, 1, 10],\n [9, -1, -7, -6, -2, 19, 10, 16, 2],\n [-7, 1, 9, -13, 10, -5, 18, 3, 0],\n [-13, -3, 17, -15, -7, 9, -7, -14, -17],\n [-2, 4, 4, -2, 9, 9, -6, 8, 14]]\nB =\n[[12, 18, 19, 2, 2, 16, 9, -5, 12],\n [6, -11, -1, -17, -1, -6, 17, -6, -4],\n [-1, -4, -9, -10, 9, 5, 4, -4, 20],\n [-20, 5, -18, -10, 7, 7, 9, 14, -14],\n [12, 6, 8, 6, 10, -16, 13, 16, 0],\n [5, -16, 12, -19, 2, 8, -3, 14, -11],\n [18, 12, 11, 16, 2, -20, -4, 15, 6],\n [18, -20, 17, -7, -17, 11, 0, -19, 4],\n [17, -7, -8, -2, -9, 10, 13, 20, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[-12, -5, 3, -13, 16, 10, 11, 2, 17, 15],\n [11, 2, 2, 12, 20, 5, 19, -18, -20, -8],\n [6, 6, 1, -10, -6, 9, -3, 3, 11, 1],\n [-16, -16, 1, 18, 1, -14, 0, 14, -11, -9],\n [16, 2, 17, -8, -18, -15, 9, 20, -18, -19],\n [9, 7, 19, 13, 10, -4, -12, -1, -8, 6],\n [15, -17, 6, -13, -12, 0, 14, 7, 6, -14],\n [13, -7, 8, 8, 0, -19, -11, 3, 6, 11],\n [2, 15, 0, 1, 2, -9, -8, 13, 4, -19]]\nB =\n[[20, 0, 10, -3, -5, -7, 12, -14, 17],\n [-1, -17, -10, -15, 18, -14, 9, 2, 7],\n [17, 14, -20, 3, 7, 13, -4, 3, 10],\n [-1, 8, 7, -7, 5, 20, -10, -5, 15],\n [8, 6, 8, 7, 11, 6, -10, -13, -17],\n [-9, 11, -9, 4, 3, -1, -14, 11, -15],\n [-2, -3, -9, 16, -11, 2, -3, 0, -8],\n [-19, -19, -3, 14, 13, 20, -11, 16, 11],\n [4, 3, 0, 18, 13, 5, 18, -16, -15],\n [11, 20, 11, -13, -3, -20, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "536", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 5, 9, 16, 6, 18, 2, 5, -16, -7],\n [14, 11, -17, 1, 12, -8, -13, 17, -12, 7],\n [-20, -6, -14, -4, -9, 8, -7, -8, 11, 4],\n [6, 3, -8, 8, 9, 6, -14, -8, -14, 14],\n [-15, 1, -7, 0, -3, 8, 5, 18, 16, 15],\n [7, -10, -4, -9, 7, 3, 10, 16, 8, -16],\n [14, -8, -12, 10, 2, -5, -1, -13, -4, -2],\n [16, 6, -6, 3, -16, 17, -12, 4, -6, 6],\n [-15, 18, -5, 8, 12, -3, 15, 20, -20, -8],\n [-15, -1, 17, 13, -3, -14, 16, -5, -7, -7]]\nB =\n[[-17, -7, -20, 12, -13, 6, 12, 9, -1],\n [-15, -20, -12, 11, 12, -3, 16, -2, 12],\n [-16, -9, -20, -15, -4, -13, -16, 14, 7],\n [-6, 7, 3, 5, -13, 14, -5, -14, -4],\n [14, 10, -14, -18, -3, 6, -4, 11, -10],\n [-9, 15, -9, -9, -1, -18, 10, -16, -1],\n [19, -20, -10, 20, 15, 10, 3, -6, -19],\n [8, 20, 1, 20, -10, 10, -1, 18, -6],\n [14, -4, -17, 10, 8, 9, -16, 8, -1],\n [-12, 16, -7, -3, -4, -4, -15, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3710", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 16, 0, -20, 20, -17, 16, -15, 4, -20],\n [15, 14, -18, 19, 3, 2, 5, -16, 13, -7],\n [3, 17, 12, -4, 12, -6, 14, -7, -20, -7],\n [17, 16, -9, 14, 11, -19, 12, -3, -5, 4],\n [5, -16, -5, -5, -10, -13, -18, -5, -14, 7],\n [-19, 14, 10, -10, 20, -10, -20, 9, 9, 12],\n [-9, -11, -17, 12, 17, 10, 10, -16, 0, -3],\n [-3, -17, -1, -1, 7, -8, 14, -3, 12, 16],\n [15, -12, 5, -20, 4, 3, 9, -9, -6, -1]]\nB =\n[[6, 8, -19, -6, 14, -11, 5, 13, -13, -20],\n [-6, -17, -18, -19, -2, -2, 20, -2, -1, 16],\n [-19, 4, 18, 1, 13, 1, -9, 18, -9, 10],\n [11, 15, -7, 5, 7, -20, -11, 2, 14, -6],\n [-13, -19, -1, 20, 8, -19, 19, 20, -6, -17],\n [-8, 7, 19, 16, 0, -6, 12, -9, 9, -17],\n [18, -10, 6, -3, -7, -6, 13, 2, 14, -16],\n [-20, 5, -11, -6, 11, 3, 15, -5, -11, 13],\n [19, -7, -16, -3, -13, 10, -3, -8, 16, -10],\n [-18, -5, -13, -4, 17, -8, 14, 19, -13, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3220", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -14, -20, -8, -2, -19, 1, -13, 4, 5],\n [-9, -18, 0, -16, -9, 6, -20, -18, -11, -8],\n [-2, 10, -8, 9, -7, 11, 17, 16, -7, 16],\n [7, -1, 4, -10, 6, 8, -16, 2, -4, -18],\n [-16, -13, 12, -7, 10, -13, -20, -16, 18, -16],\n [13, -20, -11, 17, 17, -7, -13, 4, 8, 16],\n [0, 10, 3, 20, 0, -18, 11, -15, -14, -6],\n [13, -9, -3, 4, 17, -19, 0, 2, 12, 6],\n [8, 17, -4, -13, 0, 2, -3, -13, 3, -12],\n [8, -10, 15, -13, -17, 3, -19, -9, -9, 5]]\nB =\n[[-2, 5, 3, 4, 20, -5, -20, 11, 3, 19],\n [13, -1, 2, 7, -3, 11, 18, 18, 7, 16],\n [5, 6, 6, -4, -6, -8, 1, 14, 2, -20],\n [17, -13, -16, 18, 14, 20, -7, -19, -18, -2],\n [-11, -19, -7, -2, -14, -18, -20, 2, -8, 17],\n [-11, 14, 10, 12, 3, -8, 13, -2, -1, -18],\n [-2, 10, -2, 6, -10, 19, -10, -4, 13, -12],\n [18, 2, -13, -8, 13, -4, 17, -6, 10, -18],\n [14, 15, -16, 5, 5, 3, -15, -14, 7, -7],\n [18, 0, -10, -9, 13, 14, -14, 2, -20, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39638", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 9) of the product matrix AB given:\nA =\n[[11, 13, -1, -7, -16, 3, 0, -9, -19],\n [-11, -8, 10, 3, 5, 12, 20, 3, -20],\n [-12, 10, 3, 5, 18, 1, 12, 11, 12],\n [-12, -6, 1, -5, 14, 4, 14, 4, 16],\n [-11, -5, -3, 8, -4, -17, -17, -6, -17],\n [-8, -15, -16, 12, -15, 13, -16, 15, -8],\n [7, -14, -12, 5, 12, 2, 16, 5, -10],\n [-8, 6, -19, -5, 8, -1, 11, 2, -12],\n [11, -17, -11, -17, -10, -19, 7, -9, 19],\n [0, 13, 13, 15, -18, 18, -15, -20, 20]]\nB =\n[[-9, 18, -20, -1, 15, 17, -18, -1, -13],\n [-10, -20, 9, 20, -7, -1, 9, -9, -9],\n [18, -19, 2, -10, -8, -3, -2, 6, -10],\n [9, -20, -8, -13, 1, -1, -7, -7, -5],\n [-2, 18, 8, 17, -12, -15, 5, 15, -1],\n [20, 4, -13, 19, 6, 0, -10, -2, -8],\n [-16, 5, -14, -8, 3, 3, 13, 18, -17],\n [-1, -8, 9, 16, 2, -8, 20, 17, -7],\n [15, 20, -16, -10, -5, -9, -4, 10, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-295", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -13, -8, 2, -16, -13, -18, -16, 4, 11],\n [-5, -10, 3, 20, 3, 18, 1, -3, -4, -20],\n [-9, 2, -13, 12, -9, -4, 9, 18, -8, 0],\n [-12, 7, -14, -3, 12, 2, -20, 18, -2, -2],\n [-17, -14, 8, 18, -10, 8, -13, -12, -16, 10],\n [-11, 3, -4, -10, 13, 3, -13, 18, 3, -19],\n [-13, 10, 14, -17, -9, 18, -5, 1, -4, 4],\n [-6, -1, 10, -16, 9, 6, -7, -4, 9, -17],\n [-17, -18, -14, 18, 14, -8, 15, 15, 7, 11],\n [-7, 15, 14, 17, -16, -15, -9, 18, -9, -13]]\nB =\n[[-3, -3, -11, -15, -16, 2, 4, -14, -16],\n [10, -2, 15, 14, -12, 3, -3, -12, 17],\n [13, 12, -17, -1, 2, 15, 5, -20, 18],\n [11, 7, 3, -8, 12, -9, 12, -7, -8],\n [16, 6, -17, -17, 19, -5, 18, 19, -3],\n [-5, 10, 5, 2, -19, 17, -10, -16, -7],\n [-5, 20, 16, 0, -13, -7, -12, -9, -6],\n [4, 0, 13, 5, -17, 4, 19, 11, 8],\n [1, 13, -2, -15, -1, -5, 12, -12, 1],\n [13, -2, 20, 20, 16, -17, -16, -9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9134", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 3) when matrix A is multiplied by matrix B?\nA =\n[[-12, 8, 9, 8, -4, 14, -8, 15, -17, -20],\n [17, 6, 7, 4, 3, -19, 2, 1, -3, -5],\n [11, -18, -20, 13, 5, 19, -15, 15, -12, -14],\n [10, 12, -17, -15, -10, 19, -8, -12, -3, 5],\n [2, 2, -16, -11, 19, -2, -13, -6, -2, -17],\n [14, 16, -9, 10, -5, 19, 0, -1, 1, -16],\n [-13, -13, 12, 6, 9, 7, 19, -3, -11, 19],\n [-8, 16, 19, 2, -2, 2, 20, -5, -9, 15],\n [-17, -9, 6, -7, -5, 8, -9, -6, -20, 7]]\nB =\n[[-13, 11, 4, 14, -9, -15, 10, -12, 4],\n [-1, 17, -6, 15, 5, 16, 20, -10, 6],\n [18, 0, -15, -10, 10, -10, -13, -2, 11],\n [5, 16, 13, -5, 12, 14, -11, 15, 2],\n [20, -17, -2, -2, -7, 12, 16, -3, -13],\n [-11, 10, 14, 4, 4, 19, -18, -6, 11],\n [0, 12, 18, 6, -7, 15, 20, -11, 3],\n [-11, 10, 18, 7, -17, -2, 19, -5, 11],\n [-15, -11, -5, -19, -13, 20, 18, -16, 9],\n [-13, 8, -18, -8, 6, -9, 19, -15, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-369", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -13, 19, 3, 11, 10, 17, -18, 14],\n [-8, 20, -6, 5, -9, 4, 7, -2, -12],\n [14, 15, 11, -18, -16, 20, -3, -6, 4],\n [-3, -14, 1, 3, 14, 1, 6, -19, -10],\n [5, -14, -2, 16, -2, -11, 10, -20, -4],\n [-11, 15, 0, -4, -18, 1, 9, 15, -16],\n [-18, -20, -4, 1, 6, 12, 0, -20, -17],\n [20, -15, 7, -9, 2, -9, 12, 0, 20],\n [19, 6, 11, -20, 11, -18, 12, -20, 3]]\nB =\n[[-2, -3, 11, -15, -4, -9, 13, 15, 18, -19],\n [-1, -1, 18, 11, -18, 5, 20, -9, -18, 7],\n [-12, 5, -15, -16, -12, 13, 7, 5, 14, -20],\n [-17, -8, 19, 0, -3, -1, -17, 11, 6, 4],\n [-14, 9, 2, 8, 0, 12, -3, 6, -7, 19],\n [10, -13, -18, 14, 17, -10, 15, 13, 2, -16],\n [9, 16, -5, -7, -14, 12, -19, -16, 18, -6],\n [-19, 3, 8, 8, 0, 4, 1, -2, -8, 17],\n [12, 12, -9, 2, 8, 8, -20, 3, -16, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3293", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 5) of the product matrix AB given:\nA =\n[[-16, -8, 11, 6, 3, -18, -20, 8, 1, -16],\n [0, -9, 7, -10, -6, 17, 14, -5, 16, -6],\n [11, -5, 12, 19, -1, 16, 18, 11, -11, -5],\n [-16, -1, 6, -1, -8, -2, -6, 17, 6, -4],\n [-11, 15, 19, -16, 6, 7, -17, -14, -13, -6],\n [20, 8, 18, -12, -1, -20, -14, 13, -11, 20],\n [-15, 4, -9, 19, 20, 18, -7, -10, -9, -2],\n [7, -2, 8, 14, 2, -5, 16, 0, 19, -20],\n [16, 4, -5, 12, 4, 1, -18, -18, -10, -16],\n [4, 17, -5, 11, 8, -15, 1, -12, -11, -7]]\nB =\n[[18, -1, -16, -14, 19, -7, -6, -4, -1, -5],\n [20, 0, -10, -17, 4, -19, -19, 6, 10, -13],\n [-13, -16, 1, -16, 19, -15, 17, -14, -3, 4],\n [-18, 4, 0, 10, -5, 1, 8, -9, -20, 5],\n [-11, 4, 4, -17, -3, -13, -14, -4, -15, 0],\n [-19, -8, 11, -8, 8, -16, 5, 17, 11, -3],\n [-4, -1, -6, -6, -17, -12, 12, -11, -20, 19],\n [-12, 1, 5, 14, 12, -11, 17, -2, -17, -2],\n [-14, -9, 6, 11, 6, 0, -16, -2, -14, -7],\n [-12, 16, -12, -16, -12, 9, -7, -18, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-293", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[18, -10, -4, -3, -4, 4, 20, -7, 0, -10],\n [6, -17, 20, 13, 19, -14, -3, -2, -3, -6],\n [-10, -9, 14, 15, -9, -5, 7, 18, 15, 9],\n [-5, -5, -1, -12, -16, 10, -3, 1, 18, -19],\n [-18, 7, -10, -11, -1, 10, 1, -3, -9, -6],\n [13, 7, -6, 14, -4, 17, -10, 5, 8, 4],\n [-17, 6, 1, 3, -2, 20, 6, -2, 20, -8],\n [10, -19, 6, -13, -9, 8, 8, 1, 9, -12],\n [-16, 15, -8, -19, 12, -17, -11, 12, -19, -9]]\nB =\n[[-5, 14, -12, -18, 7, -5, 19, -2, -10],\n [17, 10, -20, 9, 0, -6, -5, -17, 3],\n [19, 2, -4, 14, 5, 14, -6, -6, 6],\n [-13, -6, -13, -17, -20, 4, 14, -13, -4],\n [7, -15, -15, -20, -18, -12, -6, 19, -1],\n [-5, -11, -7, -5, -6, 20, 5, -11, 19],\n [-9, 16, -7, 4, 9, 9, 14, -6, 10],\n [17, -3, -14, -18, -16, 4, -5, -6, -1],\n [20, 1, 14, 6, -9, 12, 3, 5, 17],\n [13, -8, 7, -1, -13, -5, 13, 11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3529", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 1) of the product of the following matrices:\nA =\n[[14, -5, -12, 10, -2, 13, -5, 3, -5],\n [-6, 10, -14, -6, -19, 18, 1, 3, 4],\n [-9, -7, 13, -1, -7, -3, 14, -4, 2],\n [1, 10, 8, 4, 11, 10, -15, 16, -4],\n [10, 0, -19, -14, 6, 1, -17, 6, 11],\n [0, 14, -12, 7, -11, 2, 3, -17, -4],\n [3, -20, 16, -19, 19, -15, -7, 15, 0],\n [4, -13, 6, -7, -17, -13, 6, -2, 9],\n [7, 6, 16, -18, 7, -2, 17, 6, 2]]\nB =\n[[-2, -8, 9, 20, -13, 8, -15, -4, 8, 19],\n [-19, 12, 18, 14, 10, -9, 10, 5, 11, -18],\n [-1, -19, 18, -8, 8, -15, -13, 5, -11, 17],\n [-20, -19, 14, -20, -17, -18, 3, -4, 6, 4],\n [-1, 18, 9, -15, -14, 6, -16, 5, 15, -10],\n [2, -18, -6, 4, -5, 11, 5, -16, -11, -10],\n [12, 7, -5, -19, 8, -19, 1, -10, 14, 11],\n [16, -16, 6, -9, -13, -18, 11, 1, 7, 5],\n [0, -10, 6, -14, 17, -12, 13, 5, -15, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "845", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[16, 19, -20, 14, -17, 19, -13, -19, -9],\n [-13, 20, 10, 0, 10, 11, -1, -2, 9],\n [-12, -1, -3, -8, 9, 8, 9, -16, -17],\n [10, 12, -20, -2, -6, -19, -17, -18, 2],\n [19, -15, 9, 2, 20, -6, -4, -12, -19],\n [20, 8, 10, 11, -20, 9, 7, 5, -3],\n [-20, 20, -2, 14, 12, -13, 6, 16, -13],\n [11, -2, 9, 15, -11, 15, -5, -18, 1],\n [1, 0, 9, 6, -19, -13, 2, 18, 17]]\nB =\n[[20, 15, -7, 10, -2, 9, -5, -9, 3, 17],\n [11, -2, 19, -16, -19, 11, 6, -19, 16, 16],\n [1, 13, 6, -4, 18, 2, -11, 1, -6, 19],\n [15, 18, -5, 7, 14, 11, 3, 0, 20, -2],\n [11, 13, -3, -10, -10, -3, -20, 19, -20, 3],\n [20, 1, -14, -4, -9, -20, -18, 9, 2, -13],\n [-4, -15, -9, 0, -10, -19, -1, -1, 10, 15],\n [3, 1, -12, -4, 13, -10, -15, 2, 19, 5],\n [-12, -13, 5, -9, 12, -14, -5, 5, 4, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32443", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 7, -5, -2, 19, -15, 6, -18, 13, -4],\n [11, 3, 14, 14, 11, -6, 16, 4, 0, -7],\n [2, -14, -16, -7, -2, -14, -13, -17, -15, 16],\n [-11, -7, -8, 17, -14, 0, 12, -10, -15, 15],\n [-10, 13, 9, -12, -14, 16, -3, 8, 0, -7],\n [-5, 5, 10, -10, 11, 5, 12, 16, -10, -1],\n [-8, 13, 12, -17, -13, -10, -19, 1, -17, 4],\n [-6, -9, 12, 11, -15, -20, 17, 19, 17, -1],\n [-16, 16, 19, -19, -7, -4, -3, -4, 19, 10]]\nB =\n[[10, 15, -2, 11, -4, 3, 19, -17, -16],\n [20, -20, 5, -18, 2, -8, 1, 10, -13],\n [9, -9, 1, -6, 9, 3, 4, -19, -20],\n [-1, 5, -13, -2, 10, -6, -19, -19, 8],\n [12, -11, 0, 0, -8, -5, -2, 3, 2],\n [-17, 10, -13, 4, 2, -10, 7, 2, 15],\n [13, -10, -13, 13, -13, -4, 1, -13, -20],\n [-7, -16, 6, 2, -9, 9, -13, 19, -19],\n [-16, -8, -4, 14, -6, -9, 14, -18, -11],\n [-19, -6, -14, -1, -13, 5, -13, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3502", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 8, 9, 10, -17, 8, 9, 1, 11],\n [-9, 9, -16, -19, -15, 14, -11, -5, 1],\n [-7, 19, -5, 18, -20, -5, -1, 11, -19],\n [1, -16, -19, 18, 20, 11, -10, 5, 10],\n [-6, -9, 5, -10, 1, 7, 1, 0, -11],\n [17, 4, 18, -7, 14, -12, 17, 16, -17],\n [-6, 8, -11, 12, -14, -4, -17, -11, -20],\n [-1, -14, -12, 11, 7, 7, -19, -17, -4],\n [-15, -13, -9, -2, 8, 11, 7, -16, -9],\n [-16, 12, 10, 4, -14, 18, 4, 8, -10]]\nB =\n[[0, 2, -15, 17, 2, -11, 14, -16, -3, 0],\n [-6, -9, 19, -14, 7, 14, -14, -3, -1, 5],\n [13, 18, 16, -7, -6, -5, 2, 13, -1, -2],\n [-11, 13, 19, 17, -13, 0, -20, -3, 2, -5],\n [4, -16, -10, -15, -7, 5, 6, -7, 8, -3],\n [-3, -7, -14, 7, -16, 19, -6, 13, -16, -17],\n [-4, -20, -11, 13, 12, 6, 3, 7, -2, -19],\n [-20, 4, -18, -14, 4, -6, -17, -19, -15, 14],\n [13, 0, 1, 20, 8, -7, -14, -16, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-571", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[16, 14, 7, 16, 5, -15, -13, -11, 1, -11],\n [-2, 11, -7, 3, -3, 6, -3, -17, 8, 10],\n [-18, -4, -18, -14, 10, 6, 17, -18, -8, -3],\n [1, -9, 18, -2, 9, 10, -4, 7, 20, -17],\n [-16, 14, -14, -5, 5, -1, -17, 11, -12, -18],\n [11, -19, 7, -16, -7, -11, 11, 17, 7, -20],\n [-18, 18, 4, 9, 15, 17, 9, -6, 10, 4],\n [2, 5, 1, -5, -4, 6, -4, -4, -1, -19],\n [15, 2, 7, 5, -9, -4, 20, 7, -10, 17],\n [-10, -6, 5, 8, 5, 2, -10, -17, -11, 19]]\nB =\n[[12, -17, 15, -13, 1, 0, 9, 9, -5],\n [-19, 2, 13, 9, 7, -16, 14, -12, 17],\n [-2, 20, -14, 5, -7, 11, 18, 9, -11],\n [-19, 17, -16, -15, 7, -6, 8, 9, 10],\n [10, 14, 5, -12, -14, -8, -1, 7, 9],\n [20, 6, 9, 20, 3, 9, -20, 3, -1],\n [-13, -4, 10, -17, 13, 12, 8, -2, -7],\n [4, -20, 1, -17, 14, 18, 12, -5, 14],\n [-9, 15, -14, -17, -9, -14, -6, -15, -4],\n [-4, -17, -14, 15, -14, 17, 15, 12, 2]]\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[[7, 7, 12, 1, 18, 1, -17, 3, -5],\n [-8, -6, 12, 9, 2, -16, 18, 13, 20],\n [-16, -17, -5, -10, 6, 2, 12, 2, -8],\n [-16, 11, 19, -11, -6, -6, 2, 13, -17],\n [-8, 8, -12, -16, -9, 13, -13, -1, -5],\n [3, -1, -13, 8, -2, 4, 16, -18, -2],\n [13, -14, -12, -13, -2, 16, -13, 3, -19],\n [8, -9, -16, -20, -8, 18, -13, -2, 7],\n [-11, 13, -11, -3, -11, 0, -19, -12, 17],\n [-14, -18, 5, -14, 19, 4, 16, 14, 6]]\nB =\n[[17, 14, -14, 17, -1, 2, 8, 1, 0],\n [-16, 19, -11, 12, -20, 15, -5, -2, -16],\n [2, -18, -3, -18, -18, -7, -13, 11, 9],\n [-2, -15, -12, 9, -15, 10, 0, 19, -6],\n [0, -7, 17, -9, -6, 16, -10, 9, 14],\n [14, 16, 7, 20, -11, -10, -19, -19, -4],\n [19, -8, 17, -19, 5, 6, 18, 16, 12],\n [-3, 8, -17, 9, 17, -4, 19, -8, -1],\n [15, -16, 6, 2, -10, 14, -3, -18, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37211", "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, 14, 18, -15, 8, 6, 7, -18, 2, 5],\n [6, -15, 12, -7, -18, -2, 19, -2, 6, 16],\n [19, 20, -19, -7, 7, -11, 17, 7, -8, 7],\n [-4, -16, -16, -2, 13, 20, 18, 10, 4, -20],\n [1, 17, 8, -19, 20, 9, -4, 15, -7, -4],\n [7, -15, -12, -10, -13, 2, -15, 0, -4, 18],\n [-10, 18, -16, 10, -5, -9, 9, 4, -9, -18],\n [-4, -17, -15, -6, 11, 0, -19, -18, 4, 6],\n [6, 2, -12, 15, -10, 18, -14, -8, -14, -8],\n [-15, -17, 4, -1, -12, 4, 16, -12, 20, -2]]\nB =\n[[-9, 14, -17, -2, -15, 10, 11, -12, 5, -15],\n [16, 13, 19, 0, 6, -2, 6, -18, 4, 13],\n [0, -10, 6, 7, -17, 20, 5, 0, 18, -17],\n [16, -17, 2, -12, 19, 3, 8, -14, -3, -19],\n [7, 20, 8, -4, 10, -4, 10, 2, -11, -15],\n [17, 6, -10, -1, -16, 11, -16, 1, -20, -1],\n [-6, -10, 11, 7, 7, -4, 13, 3, -19, 6],\n [-12, -2, 15, 8, -10, 11, 6, 18, 3, 6],\n [6, 19, 11, 1, 11, 14, -20, 13, -20, 14],\n [8, -3, -15, -15, 6, 18, -2, 17, -18, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35147", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -19, -14, -16, 4, -8, -9, -16, -9],\n [-3, -18, -17, -2, 0, 4, -18, -14, -12],\n [-17, 2, -10, -2, -20, -17, -12, -14, 5],\n [0, -11, -11, -20, 15, -18, 14, -9, 6],\n [-4, -2, -11, 5, -13, 18, -19, -9, 18],\n [19, 10, 8, -13, -6, 5, 15, 20, -17],\n [12, -9, -10, 9, 5, 9, 15, 12, 10],\n [-19, -6, -19, -9, -3, -13, -18, 14, 12],\n [10, -17, 2, 16, 14, 19, 17, -20, -18]]\nB =\n[[-11, 9, 7, -5, -17, -17, 2, 19, 2, -6],\n [-8, -20, 16, 3, -20, -8, 17, -4, 9, -1],\n [-16, 20, -16, 16, -5, 0, 13, -15, -15, -11],\n [10, -15, -18, 4, -1, 14, -20, 10, -7, -18],\n [-5, -7, -18, -15, -12, 12, 20, -9, -19, -18],\n [-8, 10, -12, 19, 20, -13, 1, 5, -5, 11],\n [14, 15, -20, -14, 19, -10, -10, -8, 20, -17],\n [4, -18, -11, -16, -9, 13, -9, 17, -6, 0],\n [-17, -10, -11, -14, -12, -3, 6, 7, 11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6812", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[13, -16, -1, 9, 12, -2, -19, -3, -7],\n [-16, -3, -6, 2, -17, 13, 3, -9, 8],\n [-15, 3, 1, -4, 11, 4, 5, 6, -14],\n [14, 13, 6, -13, 14, -3, 2, 9, -5],\n [10, 17, 13, -20, -12, 15, -17, -1, -4],\n [-11, 19, -8, 17, -5, 18, 12, 6, 16],\n [-5, -6, -5, -15, 8, 19, -4, 19, -14],\n [13, 15, 5, 5, -10, 4, 15, -19, 20],\n [7, -20, -15, 19, 15, -20, -6, -20, -2]]\nB =\n[[4, -7, 1, 2, -14, 13, -10, -5, 17],\n [-12, -17, 19, 14, 2, 3, -17, 9, 19],\n [11, 17, 13, 13, 10, 10, 11, 15, 1],\n [-2, 14, 17, -6, 17, -13, 11, 15, 16],\n [9, 2, -14, 1, 15, 18, 7, -9, -18],\n [17, 15, 0, 1, 2, -14, -14, 0, -7],\n [-14, -16, 16, -2, 4, -9, -12, -20, 8],\n [-2, -6, 15, -3, 1, 1, 9, -14, -15],\n [-8, -7, -19, -5, 18, 12, -20, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 16, 16, 14, -7, 1, 10, -3, -11, 3],\n [3, 11, 16, 13, -11, -7, 2, 11, -9, 20],\n [3, 13, -1, 8, -5, 19, -12, -18, -11, 19],\n [-20, -14, 10, 20, -8, 1, -5, 1, -15, -20],\n [-19, 6, -9, -15, -19, 16, -11, -4, -4, -15],\n [-20, -1, -3, -12, 11, -4, -2, -8, -20, 17],\n [17, 15, -11, 14, 5, 12, 19, -13, -1, -19],\n [18, 19, 7, 8, 4, 5, -13, 9, -20, 7],\n [9, -8, 20, 0, 0, 19, -10, 6, -16, -8],\n [-9, 19, 12, 9, -18, 2, 10, -15, -10, 16]]\nB =\n[[18, 16, 18, -15, -3, -20, -3, -10, -15],\n [-16, 3, -19, 14, 13, -19, -9, -19, 14],\n [8, 12, -16, 12, 18, -8, 10, 15, -2],\n [4, 14, 16, 18, 12, -18, 3, -18, -14],\n [-8, 3, 17, 9, -16, 2, 20, 6, -3],\n [19, -1, -15, 9, -15, -4, 15, -6, -4],\n [4, 9, 19, -4, -16, 14, -10, 7, -1],\n [-19, 20, 12, 15, -11, -2, 4, 6, 14],\n [2, 13, -13, -19, 4, -12, 4, 8, 1],\n [-7, -10, -8, 12, -18, 15, 11, 15, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, -16, -9, -2, 19, 6, 14, -11, 7],\n [12, 15, 14, -4, -10, 15, 16, -3, 10],\n [14, 7, -20, 10, 6, 19, -9, -9, 6],\n [6, -4, 4, 9, -11, 19, -6, -2, -17],\n [-6, 16, -6, 12, -8, -4, -2, -8, -15],\n [19, 9, 15, 10, -8, 3, 8, -19, -5],\n [-9, 7, 5, 11, -17, -16, -4, -1, 19],\n [8, 4, -3, 1, -13, 19, 19, -11, -4],\n [-1, 6, -19, 8, -15, -1, 16, -2, -10],\n [-3, 18, 1, -7, -15, 0, -13, -3, 1]]\nB =\n[[-15, 14, 14, -12, -5, -10, 0, 2, -1],\n [-4, 10, -3, 8, 11, -13, -12, -15, -16],\n [-8, 4, 10, 13, -4, 5, -1, -15, 11],\n [12, -1, -10, -11, 18, -2, 6, 19, 13],\n [15, -1, -16, -11, 11, 19, 19, 7, 8],\n [1, -12, -19, -8, 14, 6, 9, 8, 14],\n [16, 5, -17, 14, -11, -1, -11, 9, -10],\n [-5, -14, 2, 19, -20, -14, 20, -17, -19],\n [-4, 19, -12, -10, -2, -7, -6, -13, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-598", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-19, -19, -1, 2, -3, 9, 0, 15, -18, -4],\n [3, 17, -17, -12, 12, 13, 11, -13, -6, 10],\n [-16, 8, -7, -8, 5, -1, 10, 15, 6, 16],\n [12, 8, 6, -17, -10, 4, -16, -19, 19, -8],\n [6, 18, -4, 10, -10, -12, -10, -14, 16, -15],\n [9, 8, 10, 2, -8, 16, -9, -3, -9, -18],\n [15, -4, -11, -8, 2, 9, 7, 2, -16, 9],\n [-12, 13, 5, -4, 13, -17, -7, -19, -15, -12],\n [3, -7, -8, -10, 19, 4, 9, 3, 13, 2],\n [-2, -20, -6, 20, -5, 13, -20, 1, -19, -8]]\nB =\n[[14, 0, 20, -13, 8, -12, -17, -18, -17, 6],\n [16, 9, -6, -5, 7, -9, 4, 7, -17, 14],\n [18, -16, 8, -4, 10, -9, 15, 10, -10, 18],\n [9, 11, -13, -11, -10, 6, -15, 20, -15, 18],\n [9, -3, 18, 18, -7, -6, 15, 2, 15, 4],\n [-12, 16, 3, -2, 15, 13, -10, 14, 7, 20],\n [10, 15, 12, -6, -19, 18, 6, -5, -18, 6],\n [11, 14, 3, -14, 19, -2, -16, 18, -13, 4],\n [1, -19, 19, -11, -3, 4, -5, -6, -14, -9],\n [11, -18, -20, 2, 14, -20, -1, -5, 16, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31408", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[16, -20, 13, 0, 5, -7, -3, 3, 14, -20],\n [-5, 18, 17, 0, 3, 5, 18, -3, 20, 3],\n [7, -1, 18, -4, 0, -3, -19, 16, 15, -4],\n [-15, 14, 19, 13, 1, 16, 11, -11, -15, -8],\n [-15, 15, 12, -19, -5, 19, 4, -1, 6, -6],\n [19, -11, 17, 6, -4, 1, 18, -7, 7, -13],\n [-13, 8, 20, -20, -12, -13, -17, 0, -16, 20],\n [20, 20, 17, 2, 2, -19, -18, -10, 7, -18],\n [-12, 11, -11, -9, -1, 20, -9, -12, 4, -10],\n [-12, -8, -8, -14, -9, 20, 2, 6, 7, 10]]\nB =\n[[13, -9, -17, -1, 15, -18, 8, -15, -16, 14],\n [-9, 17, -1, 4, 11, -18, -20, -20, -19, -8],\n [-3, 0, -19, 3, -15, -18, -7, 10, 9, -12],\n [-20, 17, 8, 4, 18, -1, -9, 13, 1, -7],\n [7, -14, -15, 15, 11, 5, -15, 13, 8, -15],\n [-20, -13, -13, 5, 1, -5, -11, -4, -13, -1],\n [-20, 10, 1, 4, -9, 8, -19, -7, 3, 4],\n [3, -9, -18, -6, -11, -11, 19, 6, -15, 17],\n [9, -12, 19, 12, 2, 0, -20, 19, -9, 14],\n [2, 13, 13, 6, 11, -2, -3, -13, 14, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 15, 17, 18, 19, -16, 17, -8, -6],\n [-17, 17, 10, 9, -19, -14, -12, 8, 9],\n [-2, 1, 15, -18, 9, 16, -5, -19, 20],\n [-10, 7, 8, 6, -15, 17, -3, 19, -16],\n [-11, 1, 20, 3, -14, 12, -9, -4, 15],\n [13, -1, -6, -12, -5, -13, 2, -14, 7],\n [10, 19, -11, -6, -14, 1, 1, 18, 0],\n [0, 5, -11, 4, -15, -6, 3, -5, 16],\n [-17, -3, 20, 16, -10, -8, -15, 12, 15],\n [0, 10, -3, -4, -12, -6, 8, -17, 3]]\nB =\n[[-10, 3, -9, 10, -17, 19, -1, -15, -16],\n [-7, -6, -4, -6, 4, -7, 7, 10, 6],\n [20, 15, -5, 14, -8, 0, -1, -13, -1],\n [11, -15, -7, 13, 15, -9, 13, -5, 14],\n [-8, 6, 20, 9, 12, 15, 11, -7, 19],\n [-1, 6, 12, 11, 8, 15, -14, 1, 4],\n [-10, -18, -16, 12, -12, -10, -18, -13, 15],\n [-12, 15, 12, 2, -18, -5, -13, -20, 3],\n [8, -8, -19, 12, -7, -11, -17, -5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5023", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -16, -13, -13, 10, 0, -11, 0, -10],\n [3, 7, 10, -9, 3, 7, -3, 12, -6],\n [7, 7, 19, 20, -9, 2, 9, 3, -12],\n [-8, -1, -2, -17, 5, -3, 12, -1, 0],\n [19, 2, -10, -15, -15, 16, -10, 15, -13],\n [3, -11, -2, 3, 12, 19, 2, -14, -16],\n [16, 4, -8, -11, -4, 19, -7, -10, -11],\n [20, 9, -5, 16, -7, 9, -17, 18, -18],\n [0, 1, -17, 2, -17, -15, 17, 4, -19]]\nB =\n[[12, 16, 13, 5, -6, 0, -4, -1, -13],\n [-14, -20, -18, 17, 17, 13, 10, -13, 4],\n [7, 4, -20, -5, -18, 16, -7, -7, 19],\n [-6, 2, -19, 7, 18, -10, 6, 1, -7],\n [-4, 18, -19, 9, 8, 18, -1, 11, -20],\n [14, 0, -15, -2, 14, -5, -8, -7, -11],\n [-8, 11, 9, -15, -8, -3, -3, 2, 15],\n [7, -15, -5, 4, -9, 7, 8, 6, -8],\n [-5, 1, -1, 12, -14, 15, -12, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1031", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, -1, 13, 4, -6, 6, 12, 10, -6, -8],\n [20, -5, 9, -4, -3, 0, 11, -9, -20, -8],\n [-13, 20, -7, -5, -2, -11, 10, 15, -18, -19],\n [16, -3, -7, -19, 3, -19, 3, -7, -20, -10],\n [-6, -13, 8, 9, 4, -18, -20, 6, 3, 3],\n [19, -18, -20, -14, 1, -10, -17, -3, -10, 12],\n [20, -19, 2, 4, -12, -1, -12, -6, 13, -6],\n [12, 1, 15, -8, -7, -6, 12, -18, -14, 19],\n [20, -16, 5, 16, -19, -20, -17, 7, -11, -6]]\nB =\n[[-3, 18, -9, -13, -20, 14, -15, -5, 0, -8],\n [-15, 18, 8, -19, -17, -1, -13, -19, -17, 20],\n [18, -3, 12, -11, 18, -3, -2, 10, -6, 18],\n [13, -1, 11, 7, 5, 18, 17, -3, -10, -11],\n [-19, 14, 12, -7, -12, -14, 2, -14, -20, -1],\n [19, 14, 17, -13, 10, -2, -16, 13, -5, -14],\n [20, 0, 4, -19, -13, -2, 16, -2, -20, 7],\n [19, -7, 2, -13, 14, 10, 2, -14, -19, -2],\n [7, 17, 15, 12, -3, 17, -11, 5, -6, 11],\n [-4, -20, -6, 5, 13, -17, 6, 19, -14, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5433", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 0, -6, -14, 7, -12, 9, 11, -8],\n [12, -19, -1, 1, 14, 5, -18, 20, 0],\n [8, -20, 0, -16, -18, 5, 7, 15, 14],\n [0, 2, -19, -16, -18, -12, 20, 1, -1],\n [20, 15, -17, 13, 11, -6, -6, -4, 9],\n [15, -8, -15, 10, -1, -5, -1, -19, -5],\n [14, -2, 18, 15, 11, 14, -17, 12, -15],\n [11, -18, 0, 19, 5, -14, 18, 11, 16],\n [-6, -17, -4, 17, -3, -4, -7, -20, 12]]\nB =\n[[-4, 11, 19, 10, 17, 18, 6, -4, 9],\n [18, -15, -10, -15, 9, -3, 20, -17, 11],\n [-12, -18, 6, -18, 6, 15, -8, -13, -7],\n [5, 16, 8, -18, 3, -6, 16, -7, 19],\n [10, -10, 5, -20, 4, 0, 13, -18, -14],\n [-10, 10, 5, 2, -5, -2, -1, -11, 1],\n [2, -13, 18, -8, -8, -14, 8, -12, 5],\n [-15, 12, 8, -2, 11, 0, -4, 13, -2],\n [-10, 15, 2, 2, 13, 14, -4, -8, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11364", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 3) of the product of the following matrices:\nA =\n[[-4, -15, 15, 4, -18, -6, -3, -11, -16, 17],\n [0, -20, 4, 8, 13, -2, -2, 15, -9, 11],\n [1, -20, -20, 16, 3, -8, 7, 12, 5, -4],\n [4, 11, -19, 9, -7, -8, 16, -10, -12, 15],\n [1, -17, 10, 17, 20, -20, -2, -12, -9, 18],\n [13, -10, 16, -4, -4, -5, 2, 19, 19, -9],\n [2, -2, 11, -20, -6, 3, 5, 19, 3, -11],\n [-15, -19, 13, -3, 3, -9, 3, -13, -20, 4],\n [-11, 15, 20, -14, 8, 5, 14, 11, 19, 11],\n [12, -3, 18, 1, -6, 20, 2, 20, 16, -8]]\nB =\n[[1, 1, 8, -18, -2, 15, 18, -15, -7],\n [7, 10, 5, -15, -18, -12, -18, -4, 6],\n [-7, 16, 19, -17, -13, -10, 1, 12, 11],\n [3, -19, 10, -14, 0, 17, -9, -18, -5],\n [1, -10, 18, -7, -8, -5, 7, -14, -3],\n [-6, -3, -10, -10, 18, -4, 19, -15, -16],\n [12, 0, -12, 12, -16, -1, 2, 16, 13],\n [-5, 6, -17, -6, -1, -16, 19, -5, 13],\n [-7, 6, -19, 8, -16, 7, -19, 13, -18],\n [20, 1, 5, -16, -17, 16, 12, -4, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "731", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 5, 14, 20, 20, 6, 13, 9, 6, 4],\n [8, 3, -4, -19, 19, -5, -18, 2, -14, 3],\n [-13, 0, -4, 6, -9, 4, 18, 10, 9, 15],\n [20, 1, -6, 2, 13, 14, -1, 8, 7, -12],\n [11, -13, -8, 13, 4, -10, 3, -17, 14, 15],\n [-19, 9, 19, -15, -14, -8, -1, -16, 3, 13],\n [2, -12, 5, 5, -3, 15, -4, -16, -15, 13],\n [10, 16, -1, -9, -10, 9, 19, -7, 0, 2],\n [15, -16, -18, 11, 7, -17, 18, 5, 10, -11]]\nB =\n[[-9, -4, -13, -10, -13, 9, -2, -3, -13, -5],\n [5, 0, -14, -19, 0, -17, 5, 0, -10, -9],\n [-9, 7, 19, -7, 20, -1, 8, 19, -11, 6],\n [12, 19, 15, -4, 5, -13, -15, 19, 11, -15],\n [7, -3, 17, -15, -11, -8, 18, -7, 12, 11],\n [-4, -4, 16, -20, -20, 3, -1, 20, 19, 18],\n [-10, 4, 5, 14, 7, -3, -11, 5, -3, 13],\n [0, 20, 20, 15, 7, -4, -12, 2, 4, 5],\n [1, -3, -20, 18, -7, 8, -6, -6, -4, -4],\n [18, 6, 10, 16, -5, -20, -6, -15, 11, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "456", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -15, -10, -10, 4, -10, -2, -20, -11, -15],\n [10, -5, 17, -16, -10, -16, -9, -7, -11, -18],\n [-1, -7, 5, 4, -2, -5, -15, -15, 12, -11],\n [6, 1, -4, 8, -19, 3, 3, 13, 7, -6],\n [-1, 4, -14, 5, 20, -14, 15, 19, 1, -9],\n [8, 1, 14, 5, -12, -13, 19, -20, 7, -1],\n [6, -6, -19, -7, 20, -10, -19, -15, 6, -13],\n [-15, 19, -3, 7, 1, -14, -5, 19, -12, 14],\n [-17, -8, -10, 17, -6, 14, 5, 19, -16, -16]]\nB =\n[[-2, 14, -9, 13, 17, 3, -6, 3, 11],\n [17, -7, 10, 17, -16, 15, 9, -7, 13],\n [-20, -20, 16, 6, -10, 18, -9, -14, 0],\n [20, 16, 12, 9, 10, -7, 10, 14, 9],\n [-16, -20, 3, 4, 10, -11, -4, 13, 7],\n [2, -2, 7, 18, -1, -8, -9, -6, -17],\n [12, 15, 7, 0, -15, -18, 7, 17, -9],\n [10, 20, 2, -17, 16, 1, -16, -9, 16],\n [-7, 9, 2, 13, 16, 1, -18, -1, 7],\n [-3, -14, 13, -9, 13, 0, 16, 17, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2228", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 9, -12, -3, -4, -1, -19, 15, -19],\n [11, 4, -1, -20, 3, 3, 11, -7, -11],\n [9, -13, 12, -3, 9, -5, -1, 14, 14],\n [-12, -12, 10, 18, 11, -7, 15, -14, 11],\n [6, -13, -5, 0, -13, -8, -19, -17, -17],\n [10, 15, -4, -15, -18, -19, -8, 3, 2],\n [2, 18, 13, 8, 12, 5, -4, -9, 17],\n [3, -15, 2, -11, -19, 19, 16, 2, -17],\n [15, 11, -8, 16, -6, 0, 18, -7, -15]]\nB =\n[[2, 18, 13, -2, 10, 10, -2, -6, 11, 1],\n [4, -16, 1, 12, -7, 20, -3, 9, 14, 1],\n [11, -2, 6, 12, -16, -11, -14, -10, -5, 10],\n [-3, 7, 6, -17, -4, -19, 9, -10, 12, 10],\n [0, 16, 7, -15, 0, 5, -14, 20, -12, 5],\n [17, -14, 7, 16, -19, -13, -20, 2, 15, -15],\n [-6, -6, 6, -2, -19, -13, 17, -10, 1, 19],\n [0, 18, -2, -7, -13, -15, 11, 2, -16, 18],\n [-17, -10, -19, -7, -13, -14, -4, 16, 1, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4017", "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, 5, 20, -7, -11, 5, 4, 1, 16],\n [-6, -15, -2, 7, 6, 14, -4, 4, -17],\n [-12, 15, 0, 16, 15, -17, -15, 17, -7],\n [-12, 14, -10, 0, 18, -10, -3, -3, 2],\n [4, 7, -2, 6, -5, -14, -10, -16, 7],\n [-15, 0, 19, 20, 11, -9, 17, -10, 13],\n [13, -1, 14, 18, 7, 15, -2, -17, -6],\n [16, 15, 5, -12, 20, -7, 3, -18, -12],\n [13, 2, 4, -3, 9, -4, -12, -17, -10],\n [8, 10, 17, 0, -17, 15, -17, 15, 4]]\nB =\n[[7, 15, 1, -6, 0, -10, 0, 20, -9, -7],\n [-18, -1, 17, 14, 3, 4, -19, -10, -9, -5],\n [2, -5, 13, 9, -12, 2, -17, 7, -14, 4],\n [16, -14, 0, 19, 13, 19, 16, -13, -19, 0],\n [-1, -8, -9, -18, -18, -19, -7, -18, 7, -13],\n [9, -10, -6, -4, -11, 18, 9, -5, -3, 9],\n [-20, 18, 19, -20, 15, 14, 4, -2, 12, -15],\n [17, 4, 9, 6, -3, -10, 4, 1, 8, 4],\n [2, -11, 10, 18, 3, 4, -15, 5, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33754", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, -10, -17, 9, 7, -18, -1, 7, 16],\n [-11, -1, 15, -8, -3, 3, 9, -5, -10],\n [18, 7, -19, -6, 12, 6, 1, 9, -1],\n [3, -20, 17, 18, 3, -20, -6, -5, -16],\n [-16, 1, -10, 12, -6, -2, 19, 6, -2],\n [20, -13, 6, 6, 16, -10, -10, -20, -17],\n [-20, 15, -14, 13, 17, -12, -14, 18, -2],\n [18, -5, -3, -14, 4, 10, 2, 2, 12],\n [13, -12, -2, 12, 11, -9, -7, -8, -11]]\nB =\n[[12, 7, 0, 0, 8, 20, 11, -6, 1, 4],\n [-3, 15, -6, -5, -8, 5, -11, -18, -11, 5],\n [-4, -16, 15, -5, 1, -18, -14, 0, 4, 16],\n [-10, -14, 1, -9, -11, -2, -5, -17, -15, -15],\n [-3, 14, 19, 6, -18, -15, 8, 7, 7, 5],\n [-1, -5, 3, -8, 11, -13, 15, -10, -8, 8],\n [8, 13, -2, -5, 10, 6, -7, 8, 2, 7],\n [17, -11, 5, 2, 18, -3, -17, -10, 19, 19],\n [-8, 4, -14, 9, -15, 20, 11, 16, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -11, -2, -17, 8, -4, 13, -16, -15],\n [17, 14, -17, 6, 20, -20, -5, 4, 19],\n [-17, 15, -10, -3, 2, -16, 18, -4, 20],\n [-8, -17, 9, -6, -13, -15, -17, 5, 4],\n [0, 8, -11, -1, -1, 4, -14, -16, -14],\n [9, 7, -4, 6, -3, -1, -19, 1, -3],\n [-13, -10, 2, 10, 0, 5, 3, 15, 15],\n [-4, 13, -7, 6, 4, -13, -13, 16, -1],\n [-3, 12, -19, 18, -15, -14, -18, 14, 20],\n [10, 19, 18, -7, 15, -1, -3, 7, 17]]\nB =\n[[17, 13, 2, 11, -6, 8, 17, -10, -5],\n [17, 18, 10, -16, -17, 5, -11, 6, -14],\n [-16, 14, 13, 7, 14, -16, -6, 12, 7],\n [7, -1, 7, -6, 0, 14, 20, -17, 6],\n [-11, -7, -8, -19, 20, 20, 8, -20, -4],\n [7, -2, 12, -17, 5, 3, -14, 5, -5],\n [-7, 16, -9, -10, -20, 14, 11, 12, -16],\n [12, -19, 12, 3, 19, -8, 12, -14, 14],\n [-2, 13, 13, 5, -15, 5, 14, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2772", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, 15, 9, 13, 18, 12, -12, -20, 12, -14],\n [-12, -5, 9, -3, 3, -7, 8, 16, 17, -2],\n [-15, -16, -10, -14, -11, -3, 19, 12, -6, -10],\n [-3, 8, -18, 9, -8, 5, -2, -10, -16, 4],\n [8, 1, 4, 11, 14, -4, 5, -18, 15, 12],\n [10, -14, -1, -2, 19, -16, 11, -4, -13, 14],\n [-15, -17, 13, -20, 7, 6, 0, 4, 3, 7],\n [-19, -14, -10, 9, -2, -15, 20, -5, -2, 5],\n [-6, 13, -7, -16, 17, -1, 17, -9, 16, -14]]\nB =\n[[13, 11, -12, 16, -12, -2, 18, -9, -13],\n [-9, 16, -5, 20, -18, -13, -10, -3, -11],\n [12, -6, 2, -9, 7, -18, -20, 14, -20],\n [15, 9, 9, -11, 20, -7, 3, -1, -1],\n [12, -9, -16, 2, -5, 20, 6, -12, -7],\n [8, -7, 10, -14, 20, -12, -7, -2, 13],\n [-11, -5, 16, 2, 16, 10, -19, 1, -17],\n [12, 1, 10, -9, 12, -1, 20, -12, 2],\n [12, -2, 12, -16, 0, 11, 20, -2, 1],\n [-3, 15, 4, 15, -5, 5, -8, 11, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 16, -2, -7, 0, 11, 3, -5, 16, -13],\n [8, -16, -7, 3, -11, -16, -10, 12, 8, 13],\n [-19, 20, 20, 3, 18, 0, -13, -11, -10, -7],\n [-16, 4, 5, 17, 13, 9, -4, 15, 12, 10],\n [-3, -9, -15, -10, 5, 20, -13, 11, 2, -16],\n [9, -17, 16, -15, 1, 5, 8, 8, -16, -2],\n [-18, 19, -7, 19, 19, 2, 6, 16, -8, 1],\n [-10, -6, 8, -6, 4, 0, -12, 4, 7, 2],\n [8, 9, 4, -1, 14, -20, 18, 3, 8, 4]]\nB =\n[[-2, -2, 12, 19, 2, 18, 14, 7, 16],\n [20, -18, -9, -13, 13, -15, -19, 0, -10],\n [12, -8, -6, -9, 2, -3, 4, 8, -1],\n [-2, 17, 15, -7, 13, 9, -11, -13, -19],\n [1, 3, -15, -16, 9, 9, 11, -18, -9],\n [5, -9, 13, -12, -13, 1, -12, 17, 3],\n [-9, -9, -3, -4, 19, 16, 10, -12, 18],\n [11, 16, -2, 15, -18, 3, 15, 5, -1],\n [-7, 11, -13, 16, 16, -10, -15, 16, 11],\n [12, -4, 13, 14, 17, 1, 17, -19, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32097", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -8, 7, -5, -8, 3, -17, 17, 11, 5],\n [-6, -5, -20, 7, -4, -5, 10, 16, -5, -17],\n [3, 6, 14, 13, 0, -8, -12, -14, 8, 2],\n [-3, 3, -16, 3, 0, 8, 12, -11, 20, 0],\n [-3, 9, 15, 12, -8, -16, -15, -1, 16, -9],\n [-9, -8, -16, -1, 9, -4, 0, -17, 1, -14],\n [15, 6, -7, -6, -2, -3, 12, -12, -5, -1],\n [2, 17, 15, -15, -9, 1, 16, -5, 3, 3],\n [-11, 9, -8, -11, 5, -16, -2, -4, -20, 11],\n [18, 17, -20, -10, -4, 1, -7, 2, -3, -2]]\nB =\n[[6, -3, -4, 5, 9, 13, -5, -4, -11],\n [9, 9, 5, -14, -16, 0, -13, 8, 11],\n [3, -18, 12, -17, -10, 7, 16, -13, -19],\n [-15, 11, 15, -2, 20, 16, -3, 14, 4],\n [19, 17, 19, -4, -19, 1, 16, 12, -1],\n [19, -9, 13, 14, 18, -19, 7, -2, -10],\n [-7, 17, 3, -19, -14, 17, -12, 12, 6],\n [-17, 12, -13, 19, -12, -9, -10, -5, -19],\n [17, 16, -18, 14, -12, 15, -14, 5, -9],\n [-5, 10, 3, -20, 5, 6, -16, 17, 6]]\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 value at position (7, 2) of the result:\nA =\n[[0, -6, -9, -10, 4, -17, 1, 6, 4, 3],\n [-12, 1, 6, 3, -20, -20, -7, 8, -1, 12],\n [18, -1, -4, 9, -8, 1, 17, 17, -12, 7],\n [2, 2, 11, -4, 19, 17, 7, 0, 20, 9],\n [-2, 2, -15, -2, -17, 2, -16, 12, -9, 15],\n [8, -7, -14, -1, 16, -7, 13, 20, 20, 2],\n [18, 19, -16, 12, -11, -11, -10, -2, 14, -6],\n [6, -16, -8, 2, -5, 15, -11, 11, -18, 16],\n [-13, -20, -2, -13, 2, -20, 9, -17, 0, 0]]\nB =\n[[16, -1, 7, 4, 12, -6, 12, -18, -5, 5],\n [8, 0, 10, 11, -13, -14, -14, 7, -2, 6],\n [-1, 15, 10, -19, 0, 20, 13, 10, -11, -16],\n [15, 9, 2, 18, -12, -1, 14, -15, 16, -19],\n [-3, -16, -7, -2, -11, 11, 4, 12, -20, 14],\n [18, 6, -11, 13, -16, -6, 12, 3, 2, -20],\n [-7, 7, 17, -10, -12, 0, -14, -14, 6, 8],\n [-10, -16, -9, 6, -20, -13, 12, 16, -19, 12],\n [-17, 14, 1, 18, -16, -13, 14, 13, 20, -1],\n [-3, 18, 6, -2, -12, -1, -14, -5, -7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-14, 0, 9, -7, 12, 6, -8, -19, 8],\n [-14, -8, -6, -2, -12, -11, -18, -4, -11],\n [4, -20, -1, 2, -5, 14, -7, -9, -17],\n [15, 15, 0, -20, 2, -5, -7, 20, -8],\n [-19, -8, -14, -7, -2, -15, -7, 5, -9],\n [3, 1, 0, 9, -17, 8, 19, 17, -10],\n [19, -5, 4, -17, -11, 13, -5, -17, -3],\n [-2, 11, -8, -2, -12, 11, 3, 15, 5],\n [-17, 9, 12, 12, 10, -6, -9, -10, 20]]\nB =\n[[2, -8, 13, 6, 15, -11, 1, 2, 13],\n [-12, -19, -1, -13, 7, -1, -14, -12, 11],\n [11, 8, 6, 6, -6, 11, -19, -6, -10],\n [-12, -18, 11, 13, -17, 8, -6, -10, 16],\n [-11, -6, -10, -11, -5, 2, -10, -16, -7],\n [2, 0, 10, -8, 3, -2, -17, -14, -3],\n [18, 4, -9, -4, -13, -18, 18, 17, 10],\n [14, 15, 11, -4, -11, 2, -18, -8, 13],\n [2, 7, 10, 5, -13, 0, -10, -18, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1492", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[17, -17, 8, -12, -12, -18, -4, 15, -11, 2],\n [-3, -16, 5, -4, -3, -5, -17, -2, -5, 0],\n [15, -19, 8, -10, 4, 2, -7, -9, -10, -17],\n [-11, -8, 8, 0, 13, -13, 13, -13, 8, -1],\n [18, -4, 18, 7, -15, 16, 10, -14, 11, 10],\n [-20, -19, 10, -7, 3, -8, -1, -10, -18, -12],\n [13, -11, -6, -15, -10, 14, 18, 8, 19, 9],\n [-6, -19, 2, -8, 5, 16, 0, 0, -16, -14],\n [3, -6, -17, 2, 4, -6, -8, -19, 17, -12],\n [2, -8, 16, -16, -4, -2, 1, 11, 1, -6]]\nB =\n[[16, -5, 12, 14, -4, 8, -10, 18, -4, 19],\n [7, 2, -2, -19, 4, 2, 1, -16, -2, -7],\n [7, -13, -3, 14, -18, -5, -15, 16, 4, -20],\n [10, 12, -9, 1, -17, 8, 11, 1, -13, -5],\n [14, -11, -1, 14, -10, 1, -10, -11, -7, -4],\n [-4, 16, 19, -12, 8, 6, 7, 1, -8, -5],\n [-17, -14, -7, -16, -14, -11, -3, -18, -8, -8],\n [7, -5, -2, 3, 20, -4, 6, -3, -13, 13],\n [4, -15, 5, 20, -3, -12, 8, 14, 15, 6],\n [19, -14, 5, -13, 16, -3, 8, 5, 8, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "811", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -5, -18, 16, 2, -9, 12, 14, 20],\n [-7, 3, 5, -11, -16, 2, -3, -10, -13],\n [12, -15, -6, -18, -8, -4, 5, -10, 14],\n [-15, 18, 7, 10, 14, -1, -2, -8, -17],\n [-15, -11, 18, -16, 10, 14, 10, 9, 17],\n [-6, -9, 17, -1, -4, -14, -13, 8, -1],\n [11, 19, -11, -8, -3, 5, 15, -9, -12],\n [-18, -2, 18, 17, 17, 3, 6, -11, -9],\n [-3, 16, 18, -20, 15, 2, -16, -9, -5],\n [-16, -5, -18, 19, -4, -10, 14, 15, -2]]\nB =\n[[-9, 20, -19, 6, 7, 9, 16, -11, 14],\n [-2, -3, 16, -18, -3, 0, -7, 14, 19],\n [19, 18, 1, 20, 14, -12, -5, -2, -18],\n [9, 3, -20, -11, 10, 19, 19, 1, 2],\n [1, -20, -16, 5, -4, 13, 10, 13, -7],\n [-9, 15, -6, -18, -12, -11, -16, -19, 5],\n [-15, -15, -16, 7, -2, 3, 16, 5, -6],\n [20, -5, 10, 8, 1, 18, -2, -15, 14],\n [15, -6, 16, -4, -13, -8, -5, -16, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31850", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -2, -18, -13, 5, 19, 10, 8, 10, -2],\n [-1, 1, 8, -10, -20, -12, -3, -20, -16, -9],\n [7, 3, 16, 9, -2, 18, 19, 0, 2, -18],\n [-12, -7, 10, -15, -20, -10, 0, -3, 3, -15],\n [13, -13, -4, 10, 9, 9, -19, 8, -5, -16],\n [-15, -3, -8, 14, -17, -13, 12, -10, -14, 4],\n [-2, -18, 15, -20, 18, 14, -10, 7, -14, -7],\n [0, -15, 15, 12, -14, 10, 6, 2, -20, 20],\n [5, 15, 14, -18, -1, 0, 9, 17, 9, 5],\n [-15, 2, -14, 8, -1, -10, -15, -1, 6, 9]]\nB =\n[[-5, 12, -6, 11, 0, 14, 19, -20, 5, 15],\n [6, -4, -6, 1, 5, -12, 12, -10, -2, 0],\n [-19, -10, -17, -13, -12, 19, -20, 4, -16, -7],\n [13, -12, 13, -4, 14, 17, 14, 17, 5, 13],\n [-15, 17, -16, -9, -7, -11, 9, -10, -9, 19],\n [6, -20, 7, -1, 3, 6, -11, 6, 13, 2],\n [-5, 3, 6, 16, -9, 13, 12, 13, -10, 12],\n [7, -10, 18, 10, 9, 1, -13, -18, -2, 1],\n [17, -18, 1, -8, 12, -6, -16, -10, 13, 9],\n [-18, -20, 8, 1, 9, 11, 17, 13, -10, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34903", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -7, 17, 8, -12, -1, -6, -10, 13],\n [10, 8, 4, -10, -19, 20, -13, -19, 17],\n [-19, -13, 10, 12, 3, 4, 17, -20, 5],\n [0, 2, 15, -18, -16, 8, 6, 7, -7],\n [-15, -7, -2, -20, 8, 19, -14, -1, -11],\n [17, -15, -8, -8, -13, 10, -4, 1, -3],\n [-16, -12, -4, -15, -16, 10, -18, -3, -2],\n [-7, -2, -3, -17, 19, 15, 17, 20, -18],\n [18, -7, -1, -6, 7, -9, 15, 17, -18]]\nB =\n[[15, -16, 18, -7, -4, -13, 17, -8, -13],\n [20, -8, -4, 4, -10, 13, 8, -9, 19],\n [20, -19, -14, -9, -5, 10, -1, -6, -7],\n [-12, -4, -2, 2, 10, 13, -2, 15, 7],\n [-20, 4, -6, 20, -2, 0, 13, 16, -3],\n [-15, -10, 16, 3, -16, -12, 9, -10, 19],\n [-9, -1, -20, 11, -5, 19, 20, -11, -12],\n [0, 14, 12, 17, 7, 6, -2, 5, -11],\n [4, -20, 7, 9, -17, 14, -17, -16, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5603", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 7, 2, -19, 7, -10, 9, 1, 20, -4],\n [3, 17, 15, 1, -8, 5, 20, 16, -2, 4],\n [-2, 10, -4, 5, 18, -13, -9, 5, -5, 12],\n [-4, -16, -17, -18, -20, -13, -2, 5, 15, -20],\n [-4, 15, 17, 7, -7, 1, 15, -10, -3, -17],\n [11, -6, 10, 9, -7, -7, 0, -4, -18, -1],\n [14, 9, 13, 16, -15, 11, -12, 12, -18, 6],\n [11, 16, -12, 3, -20, -4, 19, -5, -12, 4],\n [-5, -5, 6, -15, 18, -16, 15, 3, 18, 17]]\nB =\n[[3, -3, -16, -17, 14, 1, -16, 14, -15, -8],\n [-17, 12, 16, 13, -12, -6, -1, -6, -20, -11],\n [-11, -16, -4, -8, -17, -1, 16, -6, 14, 2],\n [10, -6, -6, 7, 7, -9, 4, 11, 16, -16],\n [10, 10, 19, 7, -8, 8, 19, 7, 15, -8],\n [15, -2, -4, 20, -7, -6, 10, -1, -18, 18],\n [17, 19, 9, -13, 3, 0, 7, 2, -13, -12],\n [16, -7, -1, 10, -9, -2, 15, 3, -13, 1],\n [7, 19, 7, -1, 14, 2, 6, -15, -3, 16],\n [11, 14, -2, 4, -12, -20, -15, -3, 16, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33298", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -3, 1, -8, -12, 12, -15, 8, 10, 13],\n [-3, -2, -5, -1, -7, -17, -5, 3, 12, 13],\n [-8, -3, 4, 11, 12, 17, 7, 15, 20, -5],\n [17, -19, -19, -8, -11, -17, 8, -7, 16, 10],\n [7, 18, 8, -11, 6, -20, 18, -18, -9, 5],\n [7, -2, 13, 1, 16, 10, 18, 8, 7, 16],\n [-18, 2, 4, 1, 16, 16, -8, 1, 2, 13],\n [-2, 0, -13, -12, 4, -9, -3, 16, 6, -2],\n [17, -16, 10, -10, -11, -9, -14, 18, 13, 7],\n [-5, 0, 7, -3, 17, 16, 5, 19, 11, 18]]\nB =\n[[-11, -20, 7, -20, 15, 2, -7, 20, -13],\n [15, -14, -11, 8, -4, 0, -9, 6, -20],\n [-8, 8, 19, -12, -16, 15, 15, 16, -7],\n [3, -3, -8, 12, -9, 0, 19, 10, 11],\n [20, 13, -8, 8, 9, 9, -12, -15, -17],\n [-6, -10, 10, 7, 17, 15, -11, 9, -6],\n [-20, -9, 9, -16, 4, 3, 2, 10, 6],\n [-2, 16, -9, 2, -3, -9, 0, -2, -4],\n [18, -12, -15, -1, -13, -3, 1, -3, 0],\n [-1, -20, 9, 1, -12, 8, -3, 19, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2818", "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, -15, 1, 17, -19, 16, -14, 11, 11],\n [3, -13, 10, 16, -1, -13, -14, 8, 13],\n [1, -15, -9, 7, 5, -12, 6, 18, 7],\n [11, 13, 11, -11, 14, -3, 16, 3, 3],\n [9, 6, 9, -17, 6, -18, -15, -14, 0],\n [-14, -19, -12, -18, -6, 14, 0, -4, -15],\n [-6, -9, 12, -11, -15, 12, -8, -19, -3],\n [-4, 13, -13, 8, -15, -6, 10, 9, -1],\n [5, -1, 3, 19, -5, -17, 13, -18, -18],\n [17, -20, -9, -2, 14, -16, 18, -11, -11]]\nB =\n[[16, 15, 14, 4, 10, 15, -2, -14, -12, 4],\n [2, -8, -10, 14, 3, 13, -6, -10, -2, 7],\n [17, -7, -14, 11, -20, 1, 12, -9, 8, 12],\n [12, 1, -15, 10, -1, -5, 12, -10, 13, 16],\n [16, 7, -15, -20, 16, 1, 12, -3, 17, 8],\n [18, -19, -20, -15, 6, -6, -7, 11, -10, -16],\n [-2, 6, -20, 20, 12, 10, 8, 18, -20, 6],\n [20, -14, 10, 8, 17, -18, -19, -12, 18, 9],\n [-7, -1, -7, 1, 6, -6, 5, -6, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37036", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -17, 14, 11, 15, 11, -7, 13, -18, 16],\n [2, 15, 1, -20, 15, -7, -4, -6, 6, -4],\n [-19, 4, -13, -11, 7, 15, 19, 14, -5, -4],\n [-20, 1, -17, 6, 17, 0, -10, 10, -17, 2],\n [18, 15, 3, -10, 16, -9, 20, -11, 15, 9],\n [-6, -14, 11, 19, -14, -15, 9, -6, 13, 16],\n [-15, 6, 20, -17, -6, -5, -6, 0, 2, 4],\n [-12, 11, -16, 16, 8, 0, -20, -14, -15, -2],\n [19, -7, -15, -12, 11, -13, 20, 1, -13, 13]]\nB =\n[[-12, -11, 1, -8, 14, -13, -8, 14, 8, -11],\n [9, -15, 8, 17, -16, -14, -10, -1, 6, -6],\n [8, -9, 17, 12, 14, 12, -6, 15, 10, 4],\n [-19, -3, 20, 5, -7, -14, 5, 19, -6, -10],\n [9, -19, 18, 5, -8, 11, 18, 0, -7, -6],\n [1, -12, -13, -11, -5, -12, 9, -20, -10, 13],\n [-13, -15, 12, -10, -11, 6, -4, 4, -15, -3],\n [-18, -4, -6, -5, 17, 19, 15, -1, -19, -18],\n [9, -12, -1, -9, -8, -18, 6, -3, 13, -10],\n [-9, -1, -14, -5, -2, -7, 7, 15, 20, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2324", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[20, -12, 13, 3, -4, 10, -6, 7, -6],\n [-4, 3, -8, 0, 4, -2, -18, 3, 0],\n [-20, 10, -14, 11, 15, -18, -20, -9, -11],\n [-14, 4, 6, 6, -15, -1, 1, 5, 20],\n [11, 2, -20, 15, 0, -7, -2, 4, -12],\n [20, 8, -19, 10, 10, -7, 2, 10, 17],\n [-5, -13, -9, -20, 19, -7, 7, -20, 1],\n [7, -8, -13, -14, -18, 6, -2, 0, -20],\n [9, -1, -8, -17, 7, 5, 20, -18, 17],\n [18, -14, -16, -3, -19, -8, -8, 12, 12]]\nB =\n[[-5, -13, 20, -9, 17, 14, 11, -19, -14, 19],\n [20, -14, 14, -6, -15, -15, -9, 13, -17, 13],\n [14, -14, 19, -10, 12, -13, -14, 2, -18, -12],\n [8, -14, -3, -1, 10, -1, 2, 1, 1, 20],\n [-6, -8, -10, -1, 6, 5, -3, 7, -19, -9],\n [-17, -11, 20, -5, 12, -19, 2, -7, 7, 12],\n [3, 7, 18, 6, -8, -19, 8, -4, -3, -7],\n [5, -17, -15, -5, 0, -13, -14, -7, -14, -10],\n [20, -1, 4, 11, -2, 0, -11, -18, 20, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[17, 18, -20, 0, 4, -7, 17, 15, 9, 0],\n [16, 1, 10, -18, -3, 11, -9, -1, 2, 8],\n [-5, 15, 11, -20, 20, 16, 6, -3, -17, 8],\n [-13, 3, -11, 18, 7, -18, -18, 2, 6, 3],\n [-13, -13, -4, 12, -11, 16, -10, 5, 12, -13],\n [8, -7, -1, 13, 19, -10, -13, -20, 6, -6],\n [-1, 9, 1, -8, 17, 2, 1, -18, -6, -8],\n [-6, 1, -9, -4, 11, 20, -11, -3, 20, -2],\n [6, -13, -3, 9, 4, -20, 17, -3, -7, -8],\n [4, -13, -2, 19, 20, 20, -18, 8, -5, -14]]\nB =\n[[0, -7, 18, 3, 9, 12, 1, -11, -10],\n [-6, 9, -7, 11, 5, 0, -16, -9, 8],\n [0, 4, -5, 10, -1, 10, -10, 11, -13],\n [2, -13, -19, 6, 15, 14, 2, 20, -8],\n [10, 9, -15, -1, 5, 15, -2, 1, -9],\n [-18, -16, -16, 2, -7, 18, -14, 14, 17],\n [-7, -4, -14, -1, 13, 9, 19, -8, -15],\n [6, -3, 3, 11, 18, 5, 13, 0, 7],\n [-16, -3, -13, 13, 1, 2, -12, 6, -7],\n [-1, 5, 20, -14, 3, -12, -14, 16, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -17, 7, 6, -4, 19, -15, -4, -9, 19],\n [-20, 8, 5, -13, 9, 9, -17, 3, 5, -13],\n [10, -3, 13, 12, 19, -12, -1, 19, -19, 18],\n [0, -7, 9, -4, 12, -10, 16, -13, -17, 18],\n [-10, 0, -17, -8, 10, -17, -5, 19, 1, 9],\n [-5, -17, 4, 18, 2, -19, 11, -18, 0, -13],\n [18, -17, 6, 15, -12, -13, -7, 17, -18, -11],\n [12, -3, 17, 6, 9, -11, 19, 19, -7, -14],\n [-10, 10, 5, 1, -15, -1, -6, 8, 10, -11]]\nB =\n[[-7, -12, 3, 16, 7, -2, 8, -1, -6, 19],\n [15, 11, -1, 0, 15, 7, 17, -15, -16, -14],\n [3, 14, 8, -7, 14, -17, -3, 1, 19, 9],\n [-6, -12, -1, -17, -20, -3, -17, 7, -14, -7],\n [19, 17, -4, 18, -15, 5, 20, -17, 7, -8],\n [13, -3, 3, 9, -11, -19, 8, -20, -4, 1],\n [5, -11, -13, -1, 1, 3, 1, 2, 7, -19],\n [16, -17, 16, 0, 5, -6, 14, -6, 1, -20],\n [5, -11, -1, -20, -9, 20, 3, 5, -19, -1],\n [-2, 4, 18, -20, 10, -17, -18, 15, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2058", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-12, 20, -1, -12, -3, 15, 11, -17, 9, -10],\n [-2, -3, -16, 17, -2, -1, -19, -2, 16, -10],\n [-8, -1, -19, -12, -14, -17, -19, 2, -20, -16],\n [11, -2, 10, -17, -14, 11, 12, -15, 13, -6],\n [7, -5, 0, 1, 12, 14, 4, 19, 5, -2],\n [-1, 9, 15, -1, 20, 1, 16, 6, 11, 1],\n [-13, -9, 4, -3, -20, 11, -19, 15, 1, -5],\n [7, 15, -5, 14, 12, 4, 18, -9, -5, 15],\n [12, 20, 15, 15, 7, 13, -5, 8, 8, 3],\n [2, -4, -17, 2, 1, 17, 6, 9, 1, -15]]\nB =\n[[6, 1, -8, 3, 12, 9, 1, -14, -12],\n [11, 14, -4, 1, 5, 11, 8, 16, 15],\n [-11, 2, -16, -10, -9, -1, -11, 5, -9],\n [4, -13, -1, -11, 4, 9, -9, -13, 2],\n [-4, -17, -20, 16, 18, -13, 12, 16, 18],\n [14, 4, 8, 19, 7, 14, -18, -19, -5],\n [12, -14, 2, 10, -3, -1, -13, 9, -8],\n [17, 9, -1, -11, 7, -2, -19, 6, -8],\n [-9, 11, -4, 19, 17, 0, 12, 3, -5],\n [-18, 2, -3, -11, 11, -8, -2, 11, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "501", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -12, -9, -15, -1, -1, -13, -12, -17, 0],\n [-13, 14, 0, 5, -15, -16, 5, 6, -3, 16],\n [0, -5, 12, 19, -19, 7, -17, -1, 1, -2],\n [9, 14, -16, -17, -6, 3, 12, -11, 14, 16],\n [11, -5, -8, -4, -16, -13, 5, -9, 17, 18],\n [4, 14, -16, -8, 17, 9, -8, -6, -2, 17],\n [17, 11, 14, -1, -1, -8, 5, -4, 9, -17],\n [-13, -12, 1, -9, -2, 12, -17, -19, -14, -18],\n [-13, -12, 0, 0, 11, -20, 1, -19, -12, 18],\n [-6, -5, -11, -12, -5, -9, 0, 9, 6, -8]]\nB =\n[[7, 2, 6, 1, -8, 20, 10, 3, -4],\n [-6, 19, -5, -14, -7, 14, 2, -11, -20],\n [-10, 20, -17, 16, -2, 17, 2, 3, -8],\n [11, -20, 1, 17, 11, 18, 18, -8, 15],\n [0, -5, -12, -17, 4, -5, -11, -11, 10],\n [4, -12, 7, -7, -16, 17, -11, 17, 7],\n [-11, 12, -1, 10, -14, 6, -13, -7, -13],\n [-18, -17, -1, -8, -15, -17, 0, 1, -2],\n [2, -4, -17, 11, 8, 10, 0, -11, 20],\n [16, -11, 15, 7, -1, 2, -17, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4264", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -12, 0, -16, -1, 20, -3, 11, 4, 19],\n [-17, -8, -17, 5, -20, -7, -5, 13, -16, 10],\n [-4, 4, 7, -4, 19, 1, -1, 20, -4, -17],\n [-10, 18, -7, 11, -4, 6, 1, 19, -19, 20],\n [-7, 17, -18, 15, 18, -15, 2, 0, -16, -10],\n [5, 18, 16, -6, 19, 1, -17, 4, -6, 13],\n [-16, -18, -2, -16, 17, -2, -13, 0, -13, -17],\n [-1, 15, -15, -2, -15, 3, -16, 8, -17, 5],\n [-2, -3, -15, 10, -20, -15, 16, -19, 16, 2],\n [6, 6, 16, 3, 6, 10, 9, 3, -20, 19]]\nB =\n[[11, -6, 3, -10, 17, 9, -3, 12, -18],\n [-19, -10, 0, 2, -20, -14, 6, -4, 14],\n [-5, -18, -9, 1, -1, 12, -14, 16, -14],\n [2, -20, 20, -9, 12, -6, 6, -5, -6],\n [3, 12, -7, -10, 5, -9, 13, 16, 16],\n [20, 6, -5, 18, -9, 8, -19, -15, -11],\n [12, -19, -3, -5, -15, -6, -7, -18, 20],\n [-13, 18, 16, -2, -19, 16, 16, -18, 13],\n [13, 16, 12, 1, -20, -2, 16, -6, -3],\n [-5, 14, 18, -10, -14, 9, -16, -19, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35610", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 2, 17, -5, -7, -17, -15, -17, -16],\n [14, 5, -12, -16, 4, -3, 17, 9, 11],\n [14, -1, 10, -1, 6, -4, -6, -9, -10],\n [-13, -18, 12, 4, 17, 20, -4, 11, 1],\n [-18, 3, -1, -6, 20, -15, -19, 12, -7],\n [-13, -3, -12, -11, 6, 17, 19, -11, -2],\n [7, -8, 4, 4, -11, 10, -16, -7, -6],\n [7, -12, -13, -8, -14, -17, 0, -4, -19],\n [12, 13, -13, 17, 7, -12, -20, 9, 11],\n [10, -17, 15, -6, -7, -3, -10, -8, -5]]\nB =\n[[-6, -10, -10, 6, -17, 5, 5, -6, -8, 1],\n [19, 0, -10, -19, -10, 5, 20, -6, -8, -6],\n [17, -2, -10, -9, 2, -20, 9, 18, 2, 4],\n [0, 7, -10, 3, -9, -18, 12, -8, -19, -5],\n [-1, 11, 2, -11, 2, -4, -13, -17, -13, 2],\n [13, 12, -7, 0, -17, 5, -3, 16, -20, -18],\n [6, -5, 15, 2, 11, -7, 18, -10, -18, -6],\n [-13, 5, -1, -19, 12, -4, 20, -2, 18, -9],\n [-10, 0, 6, 2, -6, 18, 1, -8, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "820", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 19, 13, -6, -8, 8, 16, -18, -11, -5],\n [19, 8, -3, 15, 14, -19, 4, 4, 7, 16],\n [-2, -4, 1, -3, 5, -6, 8, -14, -3, -10],\n [-13, 18, 19, 4, -7, 13, -11, -5, 8, -15],\n [17, -13, 1, 16, 2, -18, 5, 20, 14, 17],\n [-19, -1, -3, 20, -7, 7, 9, -5, 15, -3],\n [-14, -10, -6, -9, 4, -19, -10, 19, 12, -9],\n [-17, 20, -1, 16, 5, -18, -19, -13, 4, 3],\n [-2, 11, -20, -19, -9, 20, 13, 17, 5, -1],\n [-7, 16, -13, -16, -1, -14, -16, 20, 2, 2]]\nB =\n[[2, -4, 20, -2, 8, -17, -16, -11, -7],\n [16, 14, -17, -15, -10, 2, -1, -3, -7],\n [-20, 20, 17, 2, 10, -7, -14, -15, 2],\n [19, -8, 1, -3, 12, -10, -14, 19, 8],\n [-20, 18, 4, 13, 5, -6, 8, 4, -15],\n [6, -17, -17, 16, 7, 15, 0, -18, -4],\n [10, 4, 13, 3, 13, 2, -9, 3, -4],\n [-16, -11, -6, -7, 18, -5, 2, 2, -5],\n [12, -5, -19, 9, 13, 19, 14, 6, 15],\n [9, 15, 12, -20, 12, -19, -9, -6, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3623", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[-18, -14, -14, -5, 11, 7, -18, 15, 3],\n [19, 1, -15, -12, 15, 20, -9, -6, -15],\n [-6, -9, -7, -19, -3, 6, -4, 4, -15],\n [15, 4, 16, -5, -13, 7, -14, 7, 10],\n [9, -18, -16, 20, 14, -17, 4, -12, 20],\n [12, -16, 18, -15, -13, 6, 14, 3, 14],\n [6, 19, 11, -6, -13, 10, -13, 18, 9],\n [3, 17, -19, 11, -14, 12, 2, 8, 11],\n [8, -9, 17, -19, -14, 19, -13, -2, 16],\n [-12, -6, 4, -9, -18, -10, 11, 3, -12]]\nB =\n[[0, 11, -15, -1, 17, -5, 7, 1, 2, 12],\n [-14, -9, -2, -7, 4, 8, -14, -1, 10, 16],\n [17, 15, 17, 15, 0, -1, 20, 16, 16, 12],\n [9, -3, -19, -11, -12, 1, 2, -16, -4, 13],\n [-13, 18, 2, -8, -3, 5, -5, 17, -12, 17],\n [-15, -16, -11, 2, -15, -8, -12, 17, 11, -5],\n [-4, 11, 11, -17, -9, 7, -15, -17, -13, 8],\n [6, 1, -18, -12, 5, -9, -10, -9, 17, 5],\n [-2, -5, 9, -16, 16, -12, 10, -19, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 2) of the result:\nA =\n[[3, -5, -1, -8, -4, 0, -1, 2, -5, 2],\n [-10, -18, -3, 6, 6, 5, 7, 12, 16, -2],\n [-12, -13, -1, 7, 3, 0, -11, -9, -3, 19],\n [2, 17, 11, 19, 9, -10, -8, 18, 10, -5],\n [9, -8, 7, 14, -3, 8, -2, -17, 16, 15],\n [-1, -7, -2, 18, -14, 6, 9, -8, 12, 13],\n [15, 15, 3, 13, 12, 4, 1, -10, -20, 17],\n [7, 4, -5, -12, 0, -7, 12, 0, 0, -19],\n [-2, -1, -18, 14, -2, -6, -3, 1, 8, -4],\n [-10, -19, -11, 1, -4, 5, -18, 17, 1, -1]]\nB =\n[[20, 14, -6, 17, -11, 12, 2, -15, 10, 5],\n [-8, -5, 15, 8, 2, -9, 15, 4, 3, 6],\n [12, -2, -20, 8, 8, -4, 18, 9, 4, 12],\n [13, 20, -7, 5, -3, -1, -14, 9, 8, -19],\n [-9, 0, -11, 13, 17, 12, -15, 0, 7, -12],\n [0, -11, 8, -5, -2, 11, -9, 3, -20, 12],\n [-8, 8, -19, 19, -10, -10, 10, -16, -18, -3],\n [9, 0, -10, -8, -8, -18, -5, 5, -7, -17],\n [16, 5, 17, -6, 0, 20, -8, -8, 17, -3],\n [-5, -10, 5, 20, -20, 11, -20, -14, -7, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 9) when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, 4, -8, 15, -4, 16, 9, -4],\n [-11, -5, 13, 2, -6, -14, 14, -3, -6],\n [3, 18, -12, -12, 12, 13, 2, 11, 0],\n [1, -19, -12, 5, -1, 20, -6, 19, 15],\n [0, -6, 2, -16, 13, 3, 5, -13, -13],\n [-15, 5, 13, 6, -6, -3, -19, 4, -12],\n [-5, -16, 4, 2, -17, 10, -2, -13, 17],\n [15, 20, -4, -16, -2, -5, -10, -19, -16],\n [14, -4, 16, -6, 2, -3, 16, -18, 13]]\nB =\n[[3, -19, -1, -13, 7, -12, 9, -10, 0, -6],\n [6, 5, 1, 17, -14, -17, -18, 4, 0, 3],\n [-20, -14, 4, -16, -9, 15, -1, -9, 7, -2],\n [17, -14, -17, 2, 8, 20, 14, -5, 20, -3],\n [16, 10, 15, -10, 2, 2, -9, -18, -1, 2],\n [14, 12, -19, 16, 3, -2, 4, -16, -11, 8],\n [-13, -3, 19, 8, -8, 12, 20, -20, 20, -3],\n [-5, 3, 9, 20, -15, 14, 4, -3, -16, 18],\n [-10, 14, -11, -3, 2, 16, 3, 11, 12, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[17, -13, -6, 17, 18, 11, 19, 10, 20],\n [-17, -7, -7, -8, 10, -3, -1, 3, -5],\n [-10, 1, 15, -5, -18, -7, 14, 20, -2],\n [-10, 13, -7, -19, -7, 5, -8, -2, -7],\n [4, -10, 14, 13, 19, -17, 12, -11, 17],\n [2, -13, 18, -9, -3, -18, -17, 0, -12],\n [7, -6, 6, -17, 5, -19, 0, -3, -19],\n [-14, -1, -5, -7, 11, -6, 9, -14, 3],\n [-4, -4, 18, -16, -20, 0, 9, -17, -16]]\nB =\n[[20, 0, -1, -1, 16, -4, -12, 11, 2],\n [-1, -12, 5, -4, -1, 10, -3, 0, 6],\n [5, 18, -6, 10, -2, 19, -17, 16, -14],\n [-4, -11, -7, -3, -12, -5, -12, -10, 6],\n [9, -7, -7, 8, -10, -6, -7, 6, -18],\n [-9, -7, 20, -4, -4, 13, 9, 2, 15],\n [4, 19, 11, 2, 20, -5, 11, -11, 13],\n [12, 7, -14, 19, -19, 14, -14, -8, -18],\n [4, -14, 6, 1, 7, -16, -19, 15, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26284", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[11, 1, -15, 2, -7, -6, -15, 1, 3],\n [-7, 4, 6, 17, -7, 0, -4, -7, 12],\n [-12, -3, -10, 8, -16, 3, -16, -11, -19],\n [2, 11, -20, 11, -3, -5, -5, 16, 3],\n [-2, 19, -20, -10, 19, -2, -16, 0, -1],\n [-3, 13, 2, -2, -11, 16, 13, 0, 19],\n [-6, 1, -4, -14, 4, 1, -11, -5, -8],\n [14, 9, -16, 18, -15, 17, 17, -1, 18],\n [-15, -16, -14, -6, -3, 16, 6, 2, 8],\n [3, 4, -1, 0, 19, 19, -19, -1, -10]]\nB =\n[[-19, -6, 5, -18, -3, -1, 3, -5, 20, 2],\n [18, -11, 1, -1, -11, 5, 1, -9, -14, 12],\n [-3, -10, -9, 11, 15, 15, -11, 17, 16, 20],\n [10, -18, 18, 19, -9, -5, 8, -20, 7, -13],\n [13, -5, 19, 5, 1, 4, 3, -14, 0, -20],\n [-19, -4, 7, -2, 9, -7, 8, -19, -10, 11],\n [14, -12, 13, -12, -12, -18, 6, 0, 13, 7],\n [12, 14, 19, -16, 20, 10, 12, 4, 1, -13],\n [-12, -10, 10, 8, 2, 16, -1, 2, -12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3786", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 5, -5, -1, -5, 3, -5, 11, 17, -4],\n [15, 3, 4, -6, 0, 19, -5, -2, -1, 17],\n [-16, -6, 19, -11, -10, 13, -13, 19, 3, 13],\n [19, 0, -19, -2, -7, -9, 16, -1, -1, 10],\n [8, -10, -10, -3, -11, -3, -12, -15, -9, -20],\n [-11, -19, 20, -13, 4, 9, 6, -8, 11, -15],\n [-1, -7, 2, -8, 3, -11, 20, -11, -13, -3],\n [-9, 0, 5, -10, -10, 9, -20, -6, 7, 17],\n [-16, 20, -13, 17, 1, 17, 9, -17, -19, 0]]\nB =\n[[12, -7, -5, 7, 20, -12, 13, -10, -2],\n [8, 17, -12, -14, 10, -18, -13, -12, -6],\n [-13, -4, 11, 2, -20, 15, -14, -7, -11],\n [0, 13, 14, 19, 12, -9, -8, 10, -6],\n [14, -12, -15, 16, -18, 19, -7, -7, 2],\n [-20, 15, 12, 3, 5, -11, 18, -3, -11],\n [-15, 14, -16, -12, -18, -13, -11, 4, 15],\n [-18, 19, 6, 2, 10, 13, -17, -9, 16],\n [-2, -4, 5, 2, 4, -15, -1, -16, 8],\n [14, 15, 14, -9, 5, 2, -17, -13, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29936", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -13, -7, 20, -15, 20, 1, 4, -13],\n [18, 19, 10, -17, -3, 14, 15, -4, 13],\n [19, -1, 9, -11, 15, 17, 11, -3, 12],\n [-6, 14, 3, 10, 11, 12, 19, 15, -10],\n [11, -18, -13, 12, 18, -2, 14, 20, -13],\n [5, -2, -12, 17, 14, -14, -17, -15, 13],\n [-5, -11, 15, -7, -14, -19, 10, 8, -4],\n [-5, -14, -6, 7, -15, -15, 6, 13, -7],\n [20, -4, -11, -19, -7, 0, 14, 7, 15],\n [20, -1, -14, 1, 7, -1, 11, -2, 7]]\nB =\n[[4, 1, -19, 0, -15, 12, -18, 3, -9, -16],\n [1, -1, 12, -17, 5, -5, -1, 15, -2, 10],\n [-18, -6, -10, -5, 18, 20, -20, 11, -13, -2],\n [5, 20, 0, 1, -10, -14, -15, 4, 11, 12],\n [10, -5, 15, -4, 5, 2, 15, -10, 9, 4],\n [13, 0, -19, -18, -16, -19, 10, 2, -7, -3],\n [-10, -6, 0, -16, -18, -3, -13, 17, 5, 11],\n [-8, -11, -20, -10, -16, -20, -20, -2, -16, -9],\n [7, 16, 2, -16, 2, 3, -4, -17, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13190", "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, -4, -7, 2, 3, -4, -4, -7, -6, -2],\n [-16, -4, 12, 18, -15, 4, -4, 12, -10, 12],\n [7, 20, -16, 0, 9, 5, -18, 0, -9, -14],\n [5, 18, -8, -7, 4, -4, -5, 7, 19, 20],\n [-3, -17, 19, -4, 12, 18, 3, -2, 13, 9],\n [10, -19, 20, -6, -11, -15, 12, 2, -16, 19],\n [10, -7, -15, 12, 11, -9, 18, 1, -7, 14],\n [3, 14, -6, -8, 19, 0, -18, -13, -7, -11],\n [12, -13, -17, -12, -20, 2, -8, 8, 9, 18],\n [2, 0, 18, -8, 10, -8, 5, 3, 4, -17]]\nB =\n[[0, -14, -15, -15, 18, 10, -12, -19, 0],\n [-14, -20, -14, -12, 4, -8, 10, -15, -7],\n [9, 1, -17, 8, -19, 9, 3, -5, 4],\n [-20, -9, 18, -5, 6, 8, 8, -17, 17],\n [11, 20, -17, 13, 13, -19, 7, -20, 2],\n [17, 16, -2, 6, -9, -20, -8, -20, -11],\n [-7, 19, 1, 16, -1, 7, -9, -5, -20],\n [-3, -17, -15, 14, -9, 6, 8, -4, 16],\n [19, 6, -15, 15, -14, -1, -11, -6, -6],\n [2, -11, -17, 12, -9, -12, 6, -10, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31532", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -14, 5, -13, -16, -19, -19, -11, -4, -8],\n [-12, -5, -14, -9, -17, 10, 11, 15, -18, 20],\n [-14, -19, -10, -14, -1, 1, 1, 4, -3, -11],\n [16, -9, 8, -18, 5, -4, -1, 15, 14, -1],\n [18, -7, 20, -8, 19, 7, 16, 11, -19, 15],\n [-7, 5, -19, -10, -12, 15, -14, 14, -4, 5],\n [8, 17, 12, -10, 13, -15, -3, 10, -6, 9],\n [-8, -16, -1, 19, -3, -19, -9, -1, 3, -12],\n [14, 10, 8, 8, -17, 19, -7, 7, 12, 19]]\nB =\n[[-13, -20, -17, 8, 14, -3, 17, 15, 19, -2],\n [0, -5, -15, 5, -20, -3, -20, 6, -2, 14],\n [5, -6, -15, 10, 13, -4, -18, -1, -19, 16],\n [-12, 2, 12, 18, 10, -2, -17, 13, -6, 8],\n [-15, 20, -14, 6, 4, -20, -12, 1, 1, -19],\n [-15, 8, -20, -4, 11, 16, 17, -17, -16, 2],\n [-4, 13, 3, 13, 14, -15, 17, -18, -5, 8],\n [-11, 8, 10, -18, 18, 1, -20, 10, -16, 6],\n [17, -1, -20, 2, -17, 9, -17, -14, 7, 20],\n [10, -4, -7, -2, -14, 2, -19, -9, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1125", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 7) of the product matrix AB given:\nA =\n[[14, 7, 11, -14, -4, -19, 1, 7, -19],\n [7, -1, -10, 0, -3, 10, -18, 15, 20],\n [-2, -14, 9, -10, -10, -4, 11, -17, -15],\n [9, 20, -8, -20, -10, -5, 4, -19, 6],\n [-1, 9, -4, 4, -5, 0, -3, -11, -15],\n [-4, -9, 12, 15, 9, 2, -18, -12, -18],\n [-12, -2, 1, -7, 10, 13, 2, 12, 20],\n [7, 0, 5, -11, 2, -18, -11, 19, -20],\n [7, -8, 18, -7, 17, -20, -19, -15, -3]]\nB =\n[[-3, 1, -9, -10, -12, 7, 18, -2, -1, -17],\n [6, -20, 6, 20, 7, 14, 18, -20, -18, -17],\n [6, 16, 2, 6, 4, -3, 17, -19, -11, 13],\n [5, 6, 11, 16, -10, 8, -8, -13, 3, 8],\n [-20, -8, 4, 16, -14, 1, 12, -6, -18, -13],\n [18, -20, -9, 10, 7, -2, -3, -8, 14, 17],\n [1, 20, 20, -8, 15, 20, -15, -13, 3, 16],\n [-5, -2, 17, -18, 1, 15, 1, 2, -20, 1],\n [-5, -18, -19, 18, -11, 15, 18, 19, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "824", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the product of the following matrices:\nA =\n[[13, 1, -2, -3, -11, -2, 6, -7, -9, -9],\n [1, -12, 14, -7, 3, -18, 15, 5, 5, 19],\n [14, -14, 8, -16, 9, -9, 4, -7, 10, -9],\n [-18, 4, 2, 9, -16, 12, 19, -9, 9, -4],\n [-6, -18, -10, -7, -4, 11, 14, 9, -16, -8],\n [13, 0, 5, 17, -15, -17, -3, 10, 3, -12],\n [6, -13, 5, -8, -16, -2, -7, 16, 11, -6],\n [6, -4, 13, 6, 6, -13, 5, 17, -7, -12],\n [-9, -6, 13, 1, -9, 4, 12, 19, -17, -16]]\nB =\n[[-5, -17, -2, -8, -18, -16, -6, 6, 12, -1],\n [20, 13, -4, 20, -14, 16, 19, 16, -6, 13],\n [-18, -19, 17, 13, 14, -1, -4, 10, -4, -11],\n [2, 9, 16, -19, 20, -15, 18, -8, 20, 3],\n [-18, 8, -5, 3, -17, -14, -1, -6, -12, 18],\n [14, -18, 4, -18, -6, -10, 3, -15, 0, -7],\n [6, -8, 2, -19, 10, -8, -5, -20, -19, 11],\n [-19, -17, -19, -17, -8, -20, -18, -6, -18, 12],\n [-7, -11, 2, -13, -20, 7, -10, -12, -10, 20],\n [-20, 19, -18, 2, -2, -12, 16, -15, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-531", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 4) of the product of the following matrices:\nA =\n[[-2, 19, -18, -8, 5, -1, 2, 20, -2, 10],\n [-15, 14, -15, -4, -20, 7, 10, -5, -17, -18],\n [-14, 2, -17, -1, -8, -13, 15, 13, -17, 5],\n [14, -1, -11, -15, 9, -18, -1, -18, -5, -17],\n [19, 18, -4, 8, -17, -11, -12, -10, -20, 10],\n [-4, 15, -3, -14, 5, 3, 12, 5, 8, 3],\n [-9, 7, 5, 20, 4, -6, 10, 13, 20, -13],\n [6, -17, -9, 10, 0, -1, -4, 10, -6, 11],\n [-19, 7, 0, -8, 12, 6, 5, 13, -3, -11]]\nB =\n[[-2, -9, 3, -20, -12, 8, 7, 14, -3, 20],\n [-2, 1, -3, 16, -9, -12, 15, -6, -12, -12],\n [20, 10, -15, 18, -6, 19, -11, -20, -13, 3],\n [0, 15, 9, -18, -15, 17, 4, 20, 12, -10],\n [-9, -20, -17, -16, 14, -10, 9, 12, 19, 0],\n [1, 4, 13, -17, -9, -17, 2, 17, -15, 12],\n [20, 14, 12, -15, -14, 0, -6, -19, 2, -18],\n [-9, -6, 12, -8, -8, 7, -8, 3, 18, 9],\n [15, -17, -8, -9, -20, -4, 3, 13, 18, -14],\n [2, 0, 3, 15, -18, 8, 7, -19, -17, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 15, 5, 1, -2, 10, 4, 9, -12, 9],\n [20, 11, -6, 15, 14, -20, 0, 15, -18, -6],\n [3, -5, -14, -5, 7, -9, 4, 9, -13, -10],\n [15, 15, 15, 9, -15, 14, 9, -7, 16, 7],\n [19, 20, -16, 0, -15, 3, -5, -14, 5, 0],\n [-3, -4, 0, -15, -2, -19, -2, 1, -5, 4],\n [-10, -9, 7, -19, 17, -9, 4, -19, 12, -8],\n [3, -1, -1, -9, 16, -13, 15, 12, 10, 17],\n [8, -3, -1, -13, 19, 16, 3, -20, -18, 17]]\nB =\n[[-10, 19, 20, 18, -18, 0, -16, -20, -7, -17],\n [-2, -1, -14, -12, 18, 13, -8, -17, 15, -2],\n [-4, 4, -7, -16, 20, -14, -7, 12, -9, -17],\n [-15, -20, -1, 5, 2, -9, -8, -3, 10, 7],\n [-16, 18, -1, -1, 13, -7, -6, 15, 9, -3],\n [13, 5, 15, -2, -17, 6, -18, -9, 15, 18],\n [-19, 13, 17, 10, -16, -1, 17, -10, 10, 4],\n [-17, 0, 20, -20, 16, 7, -20, -5, -19, -19],\n [-4, 1, -5, -8, -14, -4, 0, 10, -6, 2],\n [20, 5, 9, -10, 17, 5, -15, -18, 4, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2975", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 0, -15, 2, -9, 6, -6, -13, 4],\n [-2, 14, 0, -3, 8, 6, 19, -11, -16],\n [1, -7, 19, -20, -8, 6, -4, -13, 7],\n [5, -1, -2, -7, 4, 15, 7, -13, 12],\n [-15, 4, -20, 9, -16, -12, -13, 3, 4],\n [20, -13, 17, 0, -2, -18, 18, -5, -20],\n [-11, -15, -16, -4, 0, 8, 10, -18, 17],\n [7, 7, -20, -9, -5, 4, -3, -13, -15],\n [-12, -3, 9, -1, -3, 16, 8, -10, -3],\n [12, -18, 7, -16, -5, -17, -3, 6, -3]]\nB =\n[[-19, -15, 14, -2, 8, -10, 17, -20, 0, 14],\n [-13, -18, -6, -4, 7, 15, 20, -7, -4, 18],\n [-1, 18, -15, -15, -8, 14, 14, 6, 11, 13],\n [-18, 11, -14, 13, 0, 8, -17, -17, 18, -20],\n [10, -4, -14, 15, 0, 2, -8, 13, 15, -16],\n [15, 10, -9, 7, 7, -14, 13, 1, 3, -7],\n [-5, -10, 9, 17, -14, -18, -6, 9, 12, 16],\n [16, -4, -1, 12, 6, 16, -1, 13, 10, -16],\n [-3, -2, 17, -4, 2, -19, 3, -20, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28421", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[18, 19, -8, -9, -14, -19, -18, 19, 15, -8],\n [18, 9, 15, 16, -7, 5, 19, -14, 7, -13],\n [-6, -16, 12, 15, 15, -18, 1, 1, 11, 17],\n [2, 0, -17, -6, 0, -1, -1, 4, 10, -17],\n [8, 14, 9, -12, 16, -16, -3, 12, -8, 12],\n [19, 16, -19, -9, 8, 8, 2, 19, -16, 15],\n [10, 2, -5, -13, -12, -19, -3, -2, 16, 19],\n [-13, -4, -16, -13, -11, -18, -18, 10, 6, 7],\n [17, 15, 6, -5, -6, -13, 18, 7, -6, 3],\n [-16, -15, -16, 4, 19, -14, 10, -18, -3, 8]]\nB =\n[[-20, 8, 19, 12, 3, 14, -14, 12, -17],\n [14, 13, -11, -11, 16, -1, -4, 20, -8],\n [-14, 9, 1, -10, -8, 2, -11, 7, -4],\n [9, 1, 19, -1, -15, -3, 10, 5, -19],\n [10, -8, 17, 14, 4, 11, 8, 14, 7],\n [-2, -2, -14, -2, -13, -7, 14, -13, 15],\n [-19, 8, 3, -6, -13, 16, -18, -10, -14],\n [18, -16, 0, 1, 11, 17, -14, 5, 6],\n [-17, -3, -19, 12, -20, 9, 18, 4, 5],\n [10, -5, -17, -8, 6, -7, -5, -12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5219", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, 18, 6, -14, -14, -2, 18, -5, -5],\n [13, 8, 18, 11, -6, 12, 0, 10, 18],\n [8, -5, 2, 16, -14, 11, 19, 9, -11],\n [-6, -8, 1, 18, 2, 13, -15, 11, 17],\n [-9, 10, -6, -9, 14, -20, 4, -11, 12],\n [-6, -13, 17, 7, -13, 3, -19, -18, 4],\n [13, 15, -4, -2, 8, -2, 16, 15, 9],\n [-10, -12, 16, 13, -1, -17, -16, -8, -17],\n [-11, -19, -11, -19, -5, -14, -12, 3, -12],\n [8, -13, -9, -19, -12, -14, 8, 11, -1]]\nB =\n[[2, 4, -6, 12, 15, 9, -5, -12, -11],\n [15, 11, -7, 14, -7, -20, 3, -9, 20],\n [-12, -8, 5, -6, -5, -11, -4, 19, -11],\n [-11, 14, 20, -13, -11, -14, 13, -20, -16],\n [-4, -1, -17, 13, 15, -20, 19, 8, -1],\n [8, -5, -5, 15, 19, 3, -4, 6, 19],\n [-12, -1, 3, 0, -4, 18, 10, -7, 16],\n [-8, 8, 12, 0, -15, -6, -7, 11, -12],\n [-11, -2, -18, 11, -20, -5, 17, 11, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4438", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[15, -2, -6, -16, -7, -16, -10, 6, 18],\n [16, -14, -19, 2, 0, 2, -20, 8, 14],\n [14, 16, -3, 12, -15, -11, 7, -9, -17],\n [4, -14, 17, -1, 2, -13, 20, -4, 8],\n [14, 5, -11, -10, -6, -3, -17, 6, -16],\n [-15, -11, -2, -9, 3, -5, -12, -8, -3],\n [11, -2, 17, 0, 0, -15, -19, -15, -4],\n [9, -10, 4, 14, -12, 4, -13, -18, 5],\n [17, 1, 3, 0, -5, 15, -11, -19, 12],\n [6, -4, -10, -12, -11, -10, -6, -19, -4]]\nB =\n[[-10, 17, 11, -16, -3, 16, -19, 18, 6, -13],\n [7, 7, -16, 9, 6, 6, 4, 6, -9, -17],\n [13, 3, 15, -4, 11, -9, -15, 11, -19, -5],\n [6, -17, 7, -5, 2, -11, -3, 14, -17, 0],\n [5, -5, 15, -2, 0, 14, 18, 16, 0, 0],\n [-8, -20, 14, 12, 17, -12, 10, 1, -15, 6],\n [2, 9, -18, -1, 1, 0, -6, -6, -6, -16],\n [20, -1, 1, 7, 6, -8, -7, -11, -11, -2],\n [6, 3, 20, -20, 6, -13, -4, 20, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, 3, -20, -13, -19, -3, -6, 19, -17],\n [18, -6, 5, -8, -11, 16, 13, 6, 6],\n [3, 10, -11, -8, -2, 16, -18, -6, -12],\n [-18, -17, 8, 8, 10, 1, 19, -3, -19],\n [14, -9, 1, 20, 5, 4, 11, -12, 17],\n [-11, 14, 11, 20, 20, -18, 9, 20, 14],\n [-16, 9, -20, -12, -17, -1, 3, 16, -8],\n [-8, -2, -4, -1, 18, -6, 12, 8, -13],\n [0, 19, -11, -20, 11, 3, -7, 7, 19]]\nB =\n[[6, -6, 4, -20, -17, 18, 6, 10, -1, 3],\n [-4, 9, 18, -14, 12, -17, -13, -19, 8, 13],\n [-4, 19, -1, 17, 8, -15, -1, 6, -15, -15],\n [-14, 17, 15, -15, 13, -20, 9, 1, -4, -1],\n [11, 11, -15, -15, -13, -10, 8, 12, -20, 6],\n [-13, -8, 16, 16, 8, 5, 20, 5, 19, 11],\n [3, -18, -8, -10, -16, -20, 13, 11, -8, -4],\n [-19, 0, 0, -15, 9, -6, -6, -12, -9, -14],\n [3, 0, -12, 11, -19, -14, -19, -9, -6, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35946", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 7) of the product matrix AB given:\nA =\n[[-15, -14, -10, -18, 13, 10, 0, 8, -2, -14],\n [-10, -18, 18, 12, 7, 18, 11, -17, 14, -4],\n [14, 16, 5, -4, 13, -13, -12, -14, -20, 19],\n [20, -5, -19, -13, 1, 6, -3, -5, 5, 1],\n [-20, 11, 1, 6, 17, 12, 9, -2, 12, 4],\n [-15, 8, -6, -9, 17, -6, 10, -20, -1, 8],\n [-10, -12, -5, -5, 12, -2, 4, 13, 18, 3],\n [11, 18, -18, -8, 9, 2, 9, -9, 17, 3],\n [3, 9, -4, -6, 15, 3, 11, 3, -18, -20]]\nB =\n[[-1, 0, -9, 15, 0, -2, -2, 16, -19],\n [12, 16, -11, 11, 9, -4, 9, -7, -16],\n [15, -8, -5, -8, 8, 3, -3, 18, -13],\n [-16, -7, -18, -15, -4, 8, 1, 20, 13],\n [-15, 20, 6, -7, -1, 6, -18, -4, -17],\n [-8, -20, 20, 0, -18, 4, -20, -7, 13],\n [19, -18, -12, -16, 4, 12, -16, -9, 18],\n [-10, 12, -5, -18, -16, 19, -2, -10, 0],\n [-12, -3, -9, 18, 2, 17, 19, -8, 14],\n [7, 14, 2, -6, -13, -6, -20, 14, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 18, 12, 0, 10, 9, -2, 13, -4, 13],\n [-20, 4, 14, -11, 12, -7, -15, -1, -9, 6],\n [-10, -6, 7, 17, -19, -7, -16, 16, -11, -7],\n [-3, 13, -4, 7, 17, 10, 12, 15, -17, 16],\n [2, 0, 4, -6, -7, -8, 12, 0, 3, 4],\n [14, 2, -17, 0, 17, 3, 5, 4, -13, -15],\n [15, 13, 19, -18, -5, -15, 0, -18, -20, -14],\n [3, -1, 13, -13, 4, 17, 7, 16, 4, -9],\n [-1, -3, 12, 12, 16, 18, -9, 16, -7, -1],\n [20, -3, -11, -4, -16, 7, 16, 12, 17, 0]]\nB =\n[[18, 7, -20, -18, -8, 5, 20, -15, 4],\n [14, -2, 16, 14, 1, 16, -10, 4, 5],\n [-11, 7, -2, -2, 15, -3, 5, -13, -16],\n [-13, 9, -13, 15, -11, 6, 20, -6, -1],\n [17, -3, 18, -9, -3, 14, 17, 6, -13],\n [14, 11, -12, -13, -13, -20, 4, -14, 11],\n [-11, 15, 1, -4, -10, 20, -5, 4, 9],\n [-9, 20, 5, 5, -9, 10, 5, 17, 7],\n [-15, -20, -19, 6, -13, -11, -12, -10, -17],\n [9, 16, 18, 6, -4, -12, -15, 8, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11596", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 4) of the product of the following matrices:\nA =\n[[-20, -3, -7, -9, -17, -13, -15, -1, 2, -4],\n [-20, 18, 17, -7, -19, -5, 5, -10, 12, -8],\n [6, -9, 16, -18, -17, -6, 7, -7, 3, 20],\n [-15, -10, 8, -5, -8, -10, 13, -3, 20, -11],\n [18, 15, 9, -6, -3, 8, 8, 1, 2, 8],\n [-15, 17, 3, -16, 20, 2, 13, -9, -10, -18],\n [3, 8, 20, 10, -13, -19, 8, 16, -5, 20],\n [-13, 15, -7, -9, 6, -2, -8, 8, -18, -13],\n [-7, -14, -17, 0, -9, 10, -12, -14, 14, 19]]\nB =\n[[-10, 16, -19, 13, 14, 17, -5, 11, -6],\n [-11, -9, -8, 9, 1, -14, -5, 12, 2],\n [20, 12, -15, 11, -2, 15, 9, -18, 16],\n [-3, 13, -5, -17, -17, -14, -3, 16, 14],\n [-19, -16, -18, 14, -6, -5, 6, -9, -16],\n [-18, -10, 18, -15, -7, 2, -17, -5, -14],\n [6, -18, -18, 11, -17, -11, -20, -3, 9],\n [7, -5, 1, 9, 20, 18, 16, -11, 4],\n [-10, 2, 1, -1, -16, 1, -4, -3, -6],\n [9, -9, -19, 18, -18, -7, 15, 16, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-610", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -6, -14, 12, 17, -9, 3, -7, -14, -1],\n [8, -14, -16, 15, 12, -8, 11, 16, 16, 6],\n [-19, -8, 17, 9, -15, -18, 9, -2, -5, -17],\n [-12, -13, 5, -12, -9, 7, -16, -5, -2, 2],\n [-13, 17, -3, 5, 5, 20, -6, -7, -14, 4],\n [-19, -15, -12, 0, -10, -14, 11, 19, 19, 6],\n [-8, -19, -8, -17, -17, 5, 2, -1, 9, 4],\n [6, -1, -5, -17, -12, -14, -1, 20, 20, 11],\n [-20, -12, 19, -2, 19, 15, 13, 13, 2, -20],\n [15, 2, 8, 2, 2, 6, 6, 18, 6, 2]]\nB =\n[[2, 0, -14, 0, -1, 11, 18, -15, -3],\n [-15, -13, -19, 19, -1, -8, 17, -13, 5],\n [-11, -12, 7, -14, -20, 12, -8, 13, -10],\n [8, 6, 14, 17, 4, 19, -6, -19, -7],\n [-7, 20, 3, -16, 13, 11, 7, -8, -5],\n [0, 1, 2, 11, -9, 20, 1, 2, 14],\n [4, 9, 9, -18, 10, 15, 15, 14, -7],\n [1, -6, 2, -13, 3, 19, 12, -14, 17],\n [15, -12, 13, -1, -2, 11, 0, 5, -12],\n [15, 13, -15, 12, -6, -3, 2, -14, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5309", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -1, 13, 9, 8, -14, 9, 9, 5],\n [-16, 4, 9, 13, -2, 9, -13, 1, 9],\n [-3, 2, 3, -5, -13, -8, -7, -1, 11],\n [14, -13, -19, 15, 2, -19, 7, -16, 4],\n [-20, 1, -14, 2, 3, 5, -7, 10, 6],\n [1, 15, -4, 9, 0, -13, -19, -15, -8],\n [8, 14, 9, 13, -1, -6, -11, 3, -3],\n [-18, 7, -9, 12, -5, -18, 12, 3, -20],\n [-7, -12, 14, -5, -12, -9, 10, -15, 18]]\nB =\n[[9, 15, 4, 8, 8, 1, -17, 19, -12, 0],\n [19, -10, -8, -1, -11, 2, 11, 3, -10, 17],\n [12, 6, 2, -17, -6, -18, -18, 4, 1, -10],\n [-10, -13, 16, 7, -1, 1, -10, 2, 13, 13],\n [3, -18, 9, 2, -20, -3, 16, -18, 3, 4],\n [-19, 1, -12, -5, 20, -5, -6, -14, 6, -3],\n [-14, 1, -8, -2, 5, -4, -4, -5, -8, -16],\n [13, -2, 8, 8, 6, -9, -16, 9, 8, 2],\n [-20, -16, -17, -10, -7, 11, 15, -8, 11, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2023", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 20, -4, -8, 9, 5, -10, -18, -2, 1],\n [1, 11, -14, 3, -12, 4, 1, 3, -14, 2],\n [-20, 16, 15, -16, 2, 0, -6, -19, 0, -3],\n [19, -3, -3, -6, -10, -9, -20, 14, 11, -11],\n [-9, 2, 6, -20, 12, 18, -2, 2, -10, -17],\n [-18, -10, -12, 3, 18, -12, -6, 20, -20, -10],\n [18, 2, -12, -15, -9, -6, -18, -20, -8, 12],\n [-10, -5, -18, -5, 11, 5, 7, 6, 20, -4],\n [6, -9, 14, -2, 12, -4, -12, -9, 12, -6],\n [8, -8, -18, 14, 0, 18, 14, 14, 15, 10]]\nB =\n[[-8, 11, -3, -3, -11, -5, 2, 10, 13],\n [8, -5, 9, 4, 16, 16, -2, 11, 16],\n [18, -9, -6, -6, -1, -15, -2, 8, 6],\n [14, 12, -2, 19, 15, -16, -1, 13, -14],\n [13, 7, 18, 1, 20, 19, 17, 20, 9],\n [0, 19, -12, 15, -8, 12, 5, -20, -19],\n [15, 9, -5, -12, -6, 18, 1, -6, -17],\n [-5, 20, -10, 11, 1, -20, 5, -18, 11],\n [12, 12, -19, 1, -9, -19, 16, -13, -4],\n [-17, -20, -15, 19, 1, 14, 19, -10, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -12, -15, 13, -9, 0, 5, -11, -5, -6],\n [2, 0, -5, -10, -1, 0, -5, -10, 12, 1],\n [4, 12, 16, 13, -6, -20, -17, -4, 7, 11],\n [-13, 15, 15, -2, 3, -18, -7, 11, -9, 10],\n [13, 10, 15, 11, 14, 11, -5, -20, 19, -8],\n [-10, -10, 4, -16, 0, 14, -9, -8, -18, -9],\n [13, -1, 18, -17, 20, -14, -18, 20, -8, 8],\n [20, 0, 4, -18, 9, 18, 1, -19, -12, -17],\n [-13, -2, 0, -7, -20, 20, -1, -2, -5, -11]]\nB =\n[[-19, -20, -13, -12, 18, -3, -6, -5, 0, 4],\n [3, -5, -12, 17, -6, -8, 3, 12, -9, -11],\n [10, -17, 17, 15, -11, -18, 1, 0, 17, 17],\n [-18, 8, 16, -16, -18, 9, 19, -13, -8, -1],\n [-8, -15, -11, 5, -15, 5, 7, -9, 19, -17],\n [3, -6, 3, -8, -18, 6, 18, -6, 5, 2],\n [18, 12, 0, -7, -8, 11, -9, -11, 1, 4],\n [8, -14, 14, 8, -5, -13, -12, -1, -2, -5],\n [8, 13, 7, 13, -4, -17, 13, 9, 17, 9],\n [10, 11, 13, -3, -15, -18, 19, -7, 17, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-428", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 9) when matrix A is multiplied by matrix B?\nA =\n[[6, 16, 5, -7, 15, 3, 0, -20, 11, -10],\n [-4, -18, 16, 8, -2, 12, 18, -16, -19, -12],\n [20, 4, -1, -10, -9, -20, 3, -4, -5, 17],\n [-13, 3, -15, -12, -18, 15, 2, 10, 13, 17],\n [19, 14, -4, 0, -18, 17, 14, 13, -7, -5],\n [-17, -12, 17, -6, -20, -11, -10, 10, 15, 13],\n [17, -4, -17, 16, -3, 18, 15, 19, -14, -9],\n [-2, 16, -13, -11, 15, -14, 7, 20, -3, 16],\n [-20, 8, 1, 1, 3, 4, -1, 9, -14, -18]]\nB =\n[[-15, -5, -8, -14, 8, -10, -19, 3, 5],\n [17, -12, 17, 15, 20, -15, 9, -7, -7],\n [-7, 3, -3, -19, 11, 5, 10, 0, 8],\n [-7, 20, -20, 13, 11, 18, -9, -18, -7],\n [1, 5, 14, 2, 18, -17, 5, 16, 5],\n [5, 9, 8, 11, -7, 8, -16, 9, 1],\n [11, -4, 9, -15, -16, 20, 15, 1, 2],\n [-8, 17, 19, -5, -7, 1, -17, -4, -18],\n [-18, -12, 17, -14, -8, 11, -19, 16, -8],\n [8, -8, -1, -10, 19, 20, -12, -17, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-506", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[15, 10, -19, -9, 0, 9, 2, -10, 15, 4],\n [-14, -13, 1, 15, 17, -18, -7, 6, 15, 5],\n [-14, 16, -13, 19, -17, -19, -4, 0, 15, -1],\n [9, -19, -6, 19, -19, 6, 0, 4, 8, -16],\n [-20, 4, 4, -10, 12, -2, 20, -3, -14, 2],\n [-17, 0, 20, -8, 6, -15, -8, -3, 6, 2],\n [10, 0, 4, -5, -5, 18, 0, 12, 7, 9],\n [-20, -16, 12, -10, -13, 10, 0, 4, -3, -9],\n [-9, 14, 8, -7, -8, -2, -1, -19, -9, -11]]\nB =\n[[15, -4, -14, 16, 15, -3, -8, -8, 19],\n [-9, -6, 16, -18, -11, 2, -17, 4, -20],\n [-16, -16, 6, -14, 3, 2, -13, 9, 10],\n [-5, 7, -20, -10, 17, 2, 11, 11, 8],\n [10, -2, -12, 11, 10, -16, 2, 0, -1],\n [-8, -1, -8, -14, 13, -4, 9, -17, -17],\n [16, 18, 15, -6, 1, -10, 15, 11, -2],\n [-5, -11, -4, -15, 12, -1, -7, 7, 19],\n [-15, -2, -15, -16, -19, -15, -7, -7, 9],\n [19, 3, 9, -10, -7, 1, -18, 8, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-789", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, 3, -16, -1, -16, -15, 7, -6, 5, 0],\n [0, -12, 20, -11, 4, 0, 13, 10, -19, 19],\n [-5, 14, 10, -9, 2, 17, -4, -7, 12, -15],\n [2, 10, 19, -16, -18, 17, 7, 10, -4, 1],\n [-8, 0, 0, -15, -11, 19, -7, 2, -14, 3],\n [-6, 2, -16, 20, -1, -11, 2, 6, 10, -15],\n [-8, 7, -5, -4, 10, -11, 10, 18, -15, -1],\n [20, 0, -5, 4, 18, 15, 13, -13, -7, 2],\n [-9, -1, 3, -8, 12, 13, 11, 8, 6, 17]]\nB =\n[[-8, 1, -14, -14, 8, 19, -7, -19, -14, -4],\n [12, 1, -7, -20, -13, 20, -13, 8, -4, 6],\n [-13, -15, 9, 2, -6, 20, -7, 6, -18, -9],\n [-18, 19, -20, -4, -3, -11, -9, -4, 1, -7],\n [20, -13, -4, -6, -15, -14, 11, -12, -1, 18],\n [-19, -3, 17, -19, -6, -10, -18, -12, 2, -11],\n [16, 3, 11, -17, 18, -14, 8, 8, -12, -19],\n [-18, 20, 7, -1, -17, 9, 10, 20, 1, -12],\n [-12, 10, -5, 14, 1, 10, -8, 7, 18, 18],\n [-14, 4, -20, 14, -10, 13, -3, 10, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1084", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the product of the following matrices:\nA =\n[[16, 4, 7, 3, 13, 0, -10, 6, -12],\n [-5, -10, -7, -6, 1, 1, 4, 1, -18],\n [18, 9, -20, -18, -4, 12, -8, -13, 11],\n [5, -15, -9, -13, 8, -1, -8, -13, -3],\n [5, -1, 12, -13, -9, -19, -5, 16, -10],\n [-4, 9, -13, 2, -11, -15, -20, -10, 20],\n [2, -18, -7, -8, -1, 14, -6, -16, 20],\n [0, 16, -10, -14, -9, -17, 2, 5, -19],\n [-5, 13, -10, 2, 2, 9, 18, -1, -5]]\nB =\n[[-10, 10, 3, 5, -19, -6, 16, 1, 5, -17],\n [-15, 1, 17, 2, 4, -18, -1, 12, -1, -15],\n [-9, -2, 4, -3, -6, 17, 6, 20, 3, 0],\n [19, 16, -6, 5, -11, -18, 18, 8, 17, -16],\n [3, 19, -16, 11, 5, 6, -9, 11, 18, 15],\n [-15, -8, 10, -3, 8, -11, 18, 18, -18, -3],\n [8, 5, 11, 6, -10, 20, -15, 10, -13, 3],\n [-3, -12, 1, -11, -20, -18, 5, -14, 6, -6],\n [2, 0, -8, 11, -1, -16, 20, 11, 7, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "373", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 4) of the product of the following matrices:\nA =\n[[7, -9, -15, 5, -4, 15, -11, 5, -5],\n [11, -5, -7, 4, -20, 18, -5, 12, 1],\n [7, 2, -19, -6, 16, -16, 11, 17, 2],\n [2, 12, -15, 12, 20, -1, -19, -1, 2],\n [5, 5, -19, -19, 12, -11, 7, -6, -3],\n [18, 6, 16, 18, -9, -7, 10, -12, 19],\n [5, 6, -5, -19, -4, 8, 11, 4, -18],\n [20, 17, 14, -18, 6, -7, 12, 0, -11],\n [-4, -14, 6, 10, 19, 13, 3, -11, 7],\n [12, -8, 8, 6, -10, -11, 8, -7, 0]]\nB =\n[[19, 4, -14, -6, -13, 16, 1, -8, 18],\n [4, 7, -5, -14, -15, -6, 14, -19, -9],\n [-7, -19, 13, 7, -16, 14, -5, 17, 14],\n [-16, 19, -8, -20, 8, -19, -4, 15, 17],\n [3, -3, -13, 7, -17, 17, -3, -13, -1],\n [14, -4, 16, -10, 14, -3, -1, -17, 5],\n [-8, 0, 19, 3, 10, 15, -2, 12, 14],\n [2, -15, 5, -20, -9, -11, 5, 6, 16],\n [20, 19, 6, -20, -7, 16, -7, 11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -13, 14, -7, -16, 10, 11, 3, 1, 0],\n [12, -6, -6, -18, 9, 20, -3, 20, -13, -2],\n [6, -16, 5, -7, 20, -20, 11, 6, -3, -3],\n [20, -10, -15, 8, 15, -16, 13, -6, -12, 12],\n [-4, 16, -10, 17, 20, 9, -8, -10, -14, 0],\n [-14, 1, 11, -17, -6, 18, 0, 16, 20, 20],\n [17, 20, 7, -15, -19, 10, 6, -12, -20, -6],\n [2, -4, -14, 19, -18, 13, -2, 9, -11, 18],\n [-3, 2, 2, -17, 14, -12, -10, -20, -11, 10]]\nB =\n[[-7, 7, 15, 3, 7, -17, -7, -16, 11, -4],\n [13, 16, 5, 10, 7, 7, 8, 15, 5, 1],\n [14, 7, 1, 14, -3, -16, 8, -10, 3, 17],\n [4, -5, -1, -8, 14, -9, -17, 15, 9, 8],\n [-3, 20, 8, -12, -11, -11, -13, -2, 13, -18],\n [2, -19, -6, 14, -14, 14, 14, -16, -2, 10],\n [-19, 13, -8, 14, 13, -7, 14, 16, 5, -14],\n [15, 18, 0, -6, -8, -1, 13, 5, -17, 13],\n [-1, -2, 16, 10, -2, -19, 5, 1, -4, 3],\n [-9, 1, 19, -1, -18, -6, -7, -11, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3651", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 9) of the product matrix AB given:\nA =\n[[-12, 18, -11, 19, -18, -9, -1, 4, 4, 7],\n [-5, 19, 0, -14, -9, 14, -3, -3, -10, 11],\n [12, 12, -6, -3, 1, -15, 1, -15, -6, 17],\n [9, 9, 11, -1, -4, 8, -10, -1, 20, -1],\n [-13, -4, -9, 11, 1, 6, 16, 5, 10, 8],\n [10, 3, -17, -7, -8, 2, -13, -8, -20, 6],\n [-4, 20, -12, 6, 5, 0, -17, -7, -10, -17],\n [13, -16, 11, -5, 7, -19, 14, -13, 4, 2],\n [15, 4, -4, 5, 16, 0, -16, 3, -11, -19],\n [5, -12, 9, 18, 15, 11, -13, -18, -17, 4]]\nB =\n[[6, -5, 2, 5, -6, 5, 4, -10, -8],\n [-20, 15, 10, 1, 15, -16, -2, 10, 2],\n [1, 10, 0, -18, -10, -9, 4, 0, -14],\n [10, -10, -20, -7, 2, 15, -16, 19, -16],\n [-19, 17, -15, -4, -16, -7, 15, 7, -9],\n [12, 19, 3, -3, -10, 4, -2, -17, -14],\n [-3, -6, -6, -19, 20, 15, -14, 8, 4],\n [0, -9, -13, 0, 20, 3, 15, -19, 8],\n [-8, 4, -14, 19, 15, 15, -10, 8, -4],\n [-8, -12, 9, -12, 0, -7, 6, 14, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[19, 4, -9, -13, 8, -16, 17, -2, 14],\n [18, 20, 4, -3, 2, 19, 9, -20, 5],\n [-1, 20, 20, 0, -1, -18, -4, 6, -3],\n [18, -11, -1, 2, -13, 18, 16, -20, -14],\n [-17, 7, -2, -15, 5, 19, 16, -2, -4],\n [8, 0, -16, -4, 17, 20, 19, -14, 6],\n [10, 13, 5, -15, 10, -9, -6, -20, 5],\n [16, -15, 3, 15, -2, -3, 17, -5, -4],\n [-10, -17, -5, -12, 2, -11, 5, 15, 18],\n [-18, -1, -4, 7, -20, 15, 4, 12, 0]]\nB =\n[[9, -8, 18, 2, -15, -2, -11, -5, -8, 1],\n [-19, 5, -16, 9, 16, 1, -3, 8, -2, -17],\n [-13, 6, 8, 12, -14, 14, -17, 5, -8, -10],\n [18, 13, 4, 0, 15, 20, 20, -19, 4, 11],\n [-20, 12, -15, -8, -4, -5, 17, 1, 20, -14],\n [-19, -20, -2, -5, 13, 8, -13, 5, -10, -11],\n [-17, 13, 2, -19, 12, 11, -1, -8, -18, 8],\n [-3, -15, -7, -17, 5, -9, 17, 7, 20, -15],\n [17, -17, -13, 10, 11, -17, 7, -14, -12, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-601", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, -1, -2, -5, -18, -15, 17, 8, 13],\n [-7, 5, 13, -12, 12, -2, -12, 18, -15],\n [2, -12, 5, -11, -15, -7, -4, -17, -7],\n [3, -8, 16, -20, 17, 12, -4, -7, -4],\n [-5, -14, -9, 2, 19, -15, 17, 9, 1],\n [-20, -18, 19, 19, -20, 16, 15, 12, 17],\n [18, -10, 11, -2, 0, -10, 1, -2, 7],\n [11, 5, -2, -6, -16, -9, 2, -4, -10],\n [10, 20, -13, 19, 1, 11, -11, 18, 17]]\nB =\n[[-15, 14, -10, -3, 12, 20, -8, 18, -16],\n [15, 4, -17, 8, 3, 0, 20, -10, 6],\n [16, 20, -11, -10, -12, -18, -15, 4, -14],\n [6, 1, -2, 9, 1, 2, -9, -19, 8],\n [8, -7, -12, 5, 8, -16, 1, 8, -8],\n [-3, -14, -8, 15, 0, 7, 17, -18, 7],\n [1, 12, -8, 20, 16, -16, 15, 19, -13],\n [-19, 20, -4, -17, -2, 13, -4, 4, -16],\n [-4, -10, -5, -5, -15, 17, 18, -3, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2322", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -14, -10, -6, 16, -7, 2, 15, -4],\n [1, 3, 6, -4, 2, -14, -20, 6, 13],\n [16, -6, -3, -17, 8, 2, 1, -1, 1],\n [-9, 14, 5, -7, -1, 15, -9, -12, 12],\n [3, -12, 3, 9, -16, -13, -6, -1, -6],\n [1, 11, -15, 17, 12, -10, 7, -18, -18],\n [8, -10, 16, 11, -6, -17, 11, 13, -11],\n [9, 20, -3, -4, -16, -13, 19, -16, -4],\n [18, 18, 6, 11, -14, 1, -9, 3, -4]]\nB =\n[[-14, -4, -1, 6, -11, -15, 11, -13, -2, -2],\n [1, 14, 7, 12, -15, -9, 12, 13, -9, 16],\n [15, -18, 15, 18, 7, -10, -5, -18, 1, -6],\n [14, -1, -17, 8, -1, 8, -7, -20, -3, -4],\n [-6, 4, -8, 12, 3, 13, -10, 16, 4, 20],\n [11, -20, 8, 20, -10, 1, -9, -20, -5, -5],\n [18, -18, 16, 15, 9, -18, 14, 10, 14, -9],\n [9, 4, 2, -4, 19, -20, -4, 20, 14, -3],\n [-11, 12, -15, 0, 9, 5, -14, 0, 17, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1229", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-18, -9, 12, 3, -14, -13, 16, 14, -14],\n [-17, 13, 18, 1, 12, -10, -12, -6, 7],\n [9, 2, -17, -7, -2, 3, 15, -14, -3],\n [-6, -16, 20, 15, -1, -14, -11, -20, 13],\n [2, 9, 19, -2, 12, 13, -5, 13, 9],\n [3, 11, 15, -5, -2, 19, -18, -4, 10],\n [-18, -9, 17, 9, 19, -15, -8, 13, -16],\n [1, -12, 12, 6, -9, -3, -12, 4, 9],\n [16, -5, 6, 2, -15, 10, -7, 6, -4],\n [-15, -7, -2, -11, 10, 6, 18, 19, -18]]\nB =\n[[7, 3, 16, -10, -10, 10, -7, -10, -15],\n [-20, -9, -19, 15, -12, -5, 20, 13, -20],\n [12, -19, 8, -12, -13, 7, -18, -10, -20],\n [-15, -8, 6, 2, 13, 11, 8, -15, 19],\n [-7, -7, 12, 3, 14, -10, -7, 5, 5],\n [19, 13, -6, 7, 10, -19, 1, 20, 14],\n [-3, 11, 14, -15, -17, 9, -9, 16, -13],\n [0, 10, 1, -7, -12, 12, -5, -3, -5],\n [9, -9, -7, 19, 16, 9, 0, -15, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 7, -4, -11, -8, 12, -14, 16, -16],\n [12, 13, -7, 0, -3, -7, 6, 18, 17],\n [5, 7, -20, -8, 14, 1, -18, 0, -20],\n [14, 17, -11, 3, -13, -17, 13, 11, 4],\n [10, 17, -11, 14, 19, -8, -7, -17, 15],\n [-18, -18, -18, -13, 6, -12, -15, -1, 15],\n [-11, 7, -17, -19, 17, -20, -18, -16, -13],\n [-5, -9, -1, -7, 7, 12, 3, -19, 17],\n [20, -15, 12, -16, 3, 7, 12, -3, 4],\n [16, 8, -8, -5, -8, -1, -18, 17, 18]]\nB =\n[[-7, -9, 12, -4, -3, -9, 5, 7, -8],\n [16, -9, -17, -1, -11, -11, 18, 7, -9],\n [1, 0, -6, -5, 18, -19, -6, -6, 2],\n [-3, 8, 12, 8, 16, -4, 5, -12, 0],\n [19, -20, -12, 6, -7, 15, 10, 14, 9],\n [-3, -4, 20, -4, 7, 3, 16, 14, 7],\n [-7, 15, 14, -15, 17, 0, 7, -12, -8],\n [-5, 2, 11, 12, 0, -17, 14, -10, 16],\n [20, 1, -8, 15, 20, 16, -2, 19, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1061", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[15, -17, 4, 10, 0, 9, -16, -17, 11, -16],\n [-5, 6, -9, -20, -19, -13, 13, 4, 13, -20],\n [-7, 11, 8, -2, 9, 2, -16, 2, 14, -14],\n [10, -7, 6, 19, 2, 5, -14, 0, 3, -4],\n [-12, -6, -17, 3, 10, -9, -13, -4, -12, -4],\n [-5, 14, -8, -9, 9, -18, -16, 16, -8, -8],\n [7, -16, -1, 7, 15, -3, 2, 6, -19, 19],\n [10, -3, 2, -5, 5, 4, 16, 14, 1, -12],\n [13, 2, 6, -11, -5, -17, 10, -17, -7, -5]]\nB =\n[[-2, -18, -18, -1, -19, -1, 5, -2, 12],\n [13, 7, -7, -7, 8, 5, 12, -16, -19],\n [-12, -2, 6, 6, 5, 16, 16, -7, -18],\n [0, 16, 19, -13, -15, -19, -15, 18, -10],\n [-16, -11, 18, 17, -14, 15, -3, -11, -14],\n [15, 10, -13, 19, -11, 19, 7, 5, -1],\n [-19, 2, 2, -4, 20, 0, 18, 5, 10],\n [-13, -14, 0, 2, -8, 7, 19, 6, 11],\n [-1, -8, -19, -2, -6, 6, -9, 19, -11],\n [7, -17, -17, 7, 8, -9, 1, -17, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "784", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-13, 8, -14, -13, -3, 5, -12, 15, 10, -15],\n [15, -6, -3, 19, -11, -13, 4, 13, 15, -15],\n [2, 15, -1, 2, 2, 15, 1, 2, -12, 8],\n [0, 17, 16, 16, 9, -18, 12, 18, -5, 7],\n [-1, -11, 7, 15, -13, 18, 3, -20, -4, -1],\n [-8, -8, 20, 10, 1, -6, -6, 13, 15, 11],\n [-8, -1, 4, 1, -18, 20, 8, 20, -17, -3],\n [19, 0, 10, 13, -4, 5, 4, -17, 18, 7],\n [17, -19, -18, 8, 7, 17, 6, -14, 0, 17],\n [-7, 2, 14, 9, 8, -12, 2, -16, -7, -6]]\nB =\n[[-6, 14, -10, 8, 16, -13, 0, -6, -9, 12],\n [18, -13, 3, 11, -14, 4, 16, -4, 10, -11],\n [-13, -20, -12, 5, -11, 5, -3, -18, 7, -4],\n [-6, 14, 4, -8, -19, 14, 1, -3, 0, -10],\n [-17, 4, 13, -16, 20, 12, -14, 7, -1, -11],\n [9, -18, 7, 10, 19, 18, 10, -19, 10, -3],\n [-11, 11, -13, 0, 0, 0, 10, 6, 8, -7],\n [-12, -10, -14, -16, -13, 20, -18, 12, -2, 11],\n [20, -12, -10, 14, -9, -9, 13, 15, 13, 9],\n [20, -18, 13, 11, -6, -13, 18, -12, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33255", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[17, 9, 12, -7, -16, -11, 4, -1, -10],\n [13, -5, -17, 15, 7, -11, 3, -12, -15],\n [16, -11, 10, 15, 20, 13, -12, 8, 20],\n [17, -20, -9, 2, -20, 10, 17, 4, 17],\n [-17, 5, 11, 7, 12, 6, -20, -13, 0],\n [2, 11, -18, -15, -15, 4, 20, -7, -2],\n [-8, 16, 20, 9, 7, 15, -14, -2, -7],\n [5, -1, -7, 18, 11, 9, 7, -3, 9],\n [17, -15, -15, -18, -14, 13, -3, -20, 6],\n [-6, 3, 6, 8, -1, 19, 9, -3, 16]]\nB =\n[[-2, -6, 2, -15, 17, 19, 9, -11, 9, -20],\n [8, 4, 10, -6, -4, -13, 19, -11, -6, 7],\n [5, -1, -8, 10, -7, 8, -7, 19, -7, -1],\n [20, 14, -16, -6, -8, -20, -14, -9, 11, 0],\n [-9, 15, 12, -17, -12, 18, -14, -3, 2, 15],\n [-1, 10, 4, 15, -18, -1, 4, 9, 0, 14],\n [14, 9, -5, 2, -10, -9, 14, -16, 18, 20],\n [17, 1, -4, 0, 6, -8, 9, -6, -3, -10],\n [17, -14, 20, 13, 11, -8, -5, 5, 19, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4329", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 2) when matrix A is multiplied by matrix B?\nA =\n[[13, 0, -3, -1, -9, 0, 19, 11, -12],\n [-10, -10, 17, 7, -4, 12, 13, 3, 0],\n [14, 16, -10, 11, 18, 5, -3, 20, -9],\n [-1, 17, 13, 6, 13, -20, -6, -7, 6],\n [-18, -19, -9, 13, 8, 2, -12, -6, -20],\n [16, 18, -11, 0, 14, 13, 20, -10, -17],\n [-11, -11, 18, 10, -10, -17, 2, 20, -10],\n [-16, 1, 18, 20, -10, -10, -13, 19, 13],\n [7, -19, -8, -7, -16, 14, 13, -12, -14]]\nB =\n[[15, 14, -7, -11, -4, -11, 11, 3, 18],\n [-1, 13, 18, 19, -6, -7, 19, -6, -9],\n [-3, -6, -15, -13, -3, 10, 16, -18, 3],\n [10, 6, 3, 19, 3, -9, 18, 6, 8],\n [-20, -20, 16, -9, -17, -14, 19, -6, 5],\n [4, 10, 4, 4, 4, -4, -10, 0, -5],\n [12, 17, -14, -10, -16, 13, -6, 4, -13],\n [-20, 12, -7, -16, 5, 18, 1, -19, 14],\n [17, -18, -20, 13, 20, -10, 14, -16, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "646", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -20, 12, 9, -8, -12, -13, -10, -18],\n [5, -1, -9, -19, -2, -20, 8, 2, -15],\n [13, 20, -2, 11, -2, 9, 12, 18, -20],\n [3, 14, 4, -6, 6, -6, -5, 1, 2],\n [-20, -4, -10, -19, 8, -15, -9, -18, -8],\n [-19, 7, -19, -20, -5, -20, 10, 11, -3],\n [5, 3, 20, 9, -13, -17, 4, 5, -11],\n [-20, 10, -2, -18, 1, 17, 18, 5, -6],\n [-8, -11, -3, -16, 11, 15, -1, 3, -6],\n [19, 2, 20, -7, 20, 18, -10, 1, 14]]\nB =\n[[10, -4, -3, -7, 4, 4, 1, 5, -9, 11],\n [17, -16, -4, 0, -4, 11, 13, -16, 5, -17],\n [-1, 10, -13, -15, -4, 4, -17, -7, 18, -4],\n [-6, 4, -8, 14, -11, 19, 9, -3, -18, -3],\n [0, 4, 19, -14, 10, 14, -16, -12, -20, -2],\n [20, 11, -19, -3, -4, 14, -17, -20, -7, -8],\n [-5, 12, 14, -16, 16, -9, 18, -12, -20, 16],\n [-3, -20, -14, 2, -4, 18, 17, 10, -11, 18],\n [-9, 16, 12, 12, -13, -9, 6, 16, 14, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33573", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, -11, -1, 12, -3, -5, -20, 18, -6],\n [-16, -6, 1, 17, 4, 12, 15, 3, -11],\n [-17, -15, -12, -7, 7, -3, 10, 14, 14],\n [15, -2, 12, 10, 4, -14, -17, -19, 4],\n [4, 13, 18, 16, 4, 1, 16, -20, 11],\n [-6, -7, -14, -18, -19, 15, 8, -11, -8],\n [18, 17, -2, -3, -17, 9, -12, 14, 16],\n [-11, 18, -20, -19, 16, -16, 11, 10, 18],\n [7, -14, -19, -10, -2, 6, 2, 10, -15],\n [-12, 12, 2, 8, 19, 9, -15, -4, -19]]\nB =\n[[18, -7, -5, 16, 20, 3, -17, 8, 5, -2],\n [-3, 7, 7, 10, -9, 0, 11, -17, 2, -8],\n [-4, 10, 1, -12, -15, -12, -19, -13, -12, 14],\n [17, 0, 17, -9, 20, -18, 3, 7, -12, -17],\n [6, -18, -10, -12, 9, 14, 12, -6, 9, -10],\n [18, 10, -19, -14, 15, -12, 5, -11, 10, -6],\n [-4, 6, 15, -7, 7, -13, 7, 9, 20, 8],\n [-9, 14, -2, -16, -9, -15, -16, 3, 20, -3],\n [4, 7, 3, 2, -20, -7, -2, 17, 12, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, 13, 2, 6, -7, 1, 17, -7, 1, -12],\n [-10, -9, 4, -19, -12, 14, 11, -7, 8, -2],\n [15, -16, -4, 13, 1, -10, 9, 8, -6, 15],\n [18, -4, 6, -19, -15, -17, 2, 10, -20, -8],\n [-15, 13, 16, -5, 11, -6, -17, -9, -11, -19],\n [3, -5, 14, 19, -4, -13, 8, 13, 10, -4],\n [-17, 2, -10, 2, -16, 18, 11, -16, 18, -4],\n [2, 13, 9, 6, 12, -5, 10, -17, -1, 11],\n [13, -5, 8, 19, 8, -18, -14, 19, 0, 14]]\nB =\n[[16, 8, 10, -4, 0, 7, 2, 10, 7, -10],\n [-20, 3, -8, 18, 6, -20, -12, 19, 0, -11],\n [-12, -18, 8, 1, 17, 20, 9, 3, -18, -13],\n [5, 14, 18, 10, 12, 20, 14, -5, -10, -6],\n [4, -7, -12, -11, 2, -15, 7, -8, -8, 9],\n [-16, -14, 5, 2, 7, 3, 12, -8, 13, -8],\n [10, 8, 10, 10, 3, 9, -14, -1, -19, -3],\n [-9, 0, 18, -2, -15, -12, -17, -1, -18, -12],\n [6, -16, -17, -2, 16, -5, 1, -5, 0, 13],\n [-16, -5, -19, -8, 11, -7, 0, -17, -11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3716", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 12, 1, -10, 7, 13, 20, -10, -14],\n [-6, -1, -5, 8, -16, 0, -6, -15, 2],\n [8, -20, -16, -12, -6, 12, 3, 16, -15],\n [18, -10, 4, -3, 1, 20, -7, -11, -4],\n [8, -15, -14, -16, 6, 14, -4, -14, -20],\n [-6, 17, -10, 5, -7, -8, -17, 16, 12],\n [-7, -8, -4, 18, -15, 1, 2, 16, 15],\n [20, 14, 11, -20, -17, -17, 12, 13, 9],\n [18, -6, 11, 5, 18, -13, 5, -4, 9],\n [14, -9, -15, 8, -7, -20, 6, 18, -15]]\nB =\n[[12, 20, 10, 16, 11, 12, -1, -16, -4],\n [12, 2, -15, 8, 17, -17, 17, -14, -6],\n [0, -5, -15, -8, -13, 12, -18, 2, -13],\n [-1, 9, -10, -1, -19, 13, -4, -6, -20],\n [-16, 13, -16, 19, -13, -17, -9, 15, 9],\n [-2, 1, 7, 9, -15, 20, -1, -6, -13],\n [16, 7, -10, -15, 6, -10, -2, -9, -4],\n [-13, 10, -2, -1, -19, -15, 20, 6, -3],\n [-1, -12, -18, 19, 17, -3, -9, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6030", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[12, 12, -15, -12, -11, 6, -4, -1, -8, 10],\n [-4, -10, 6, -8, 19, 15, -6, 1, 4, -2],\n [8, 2, -2, -18, -2, -8, 12, 3, 17, 14],\n [12, -19, -2, 18, 12, 6, -19, 12, -14, -11],\n [7, 4, 10, -8, 10, 8, 19, -12, 10, 20],\n [8, -17, -4, -4, -2, -18, 12, 16, -3, 0],\n [3, -5, 10, -18, -4, 12, -14, 19, 1, -14],\n [12, -16, -8, 9, -11, -7, -14, 10, -17, -17],\n [-7, -6, 14, 13, -7, -8, 3, 2, -5, 14]]\nB =\n[[6, 13, 0, -13, 12, 7, 6, -4, -7],\n [9, -4, 17, -18, -15, 4, -15, 15, 18],\n [15, -18, 14, -2, -10, -6, 16, 11, 10],\n [1, -14, -20, 11, 0, 13, 18, -13, 6],\n [2, -5, -7, 4, -16, -18, -17, -10, -13],\n [12, 1, -6, -9, 3, -14, 3, -7, -8],\n [-11, -20, -16, 13, -13, -7, 16, -4, 1],\n [-20, 18, -9, 9, 8, -5, -19, -6, -13],\n [-15, 17, -16, -7, -17, -18, 11, 3, 3],\n [9, -9, 4, -3, -3, 8, 0, -19, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 7, 4, 18, 8, -13, 10, -19, -3],\n [0, 16, 17, 1, 9, -2, 0, -7, -8],\n [14, -2, -17, 0, 3, -8, 1, 2, -4],\n [-1, 11, 19, 20, -6, -10, 16, 19, -17],\n [17, -4, 8, 17, -6, 7, 2, -18, 0],\n [8, -5, 3, 11, 10, 13, 0, -8, 4],\n [-15, 1, -6, -3, 10, -10, 4, 20, 4],\n [-3, 14, 20, -7, -1, 16, 13, 18, 5],\n [19, -1, -13, 2, 14, -9, -18, -14, 16],\n [-1, 3, 4, -2, 6, -8, 1, 15, 2]]\nB =\n[[-1, 9, -2, 6, 18, -19, 19, 13, -12],\n [0, -1, -13, 0, -5, -20, -19, -16, 14],\n [-11, -11, 5, -6, 18, 18, -18, -6, 18],\n [16, 19, -5, 2, -2, -11, -17, 12, 18],\n [-8, -10, -13, 8, 13, 16, 0, 19, -3],\n [8, 9, -4, 2, -15, 6, 14, 16, 4],\n [-18, 19, 14, 19, -17, 20, -16, -20, 10],\n [-12, 6, 17, -5, -15, 3, 4, 13, 14],\n [0, 11, -8, 17, 9, -9, 12, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1704", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 9, 11, 9, 7, -19, -11, 15, -12],\n [-14, -9, 13, -6, -9, -15, 5, -16, -11],\n [0, 7, 20, -10, -7, -5, 0, -7, -9],\n [5, -12, -18, 3, 20, -2, -9, 17, -19],\n [7, -20, 8, -18, 2, -13, -7, 7, 0],\n [-18, -7, -2, -17, 2, -14, 20, -5, -20],\n [-1, 5, -17, 16, -3, -4, 1, 13, 18],\n [-13, 5, -18, 4, 16, 15, -6, -14, 10],\n [-6, -8, 1, 2, -18, -1, -2, 9, 11],\n [20, 18, 9, 3, 16, -9, -4, -12, -6]]\nB =\n[[4, -9, -7, -1, 16, 6, 9, 4, 19],\n [7, -4, 5, -14, 18, -1, -13, 7, -6],\n [-4, 6, 5, -6, -8, -1, -4, 4, 0],\n [-13, -4, 15, 13, -11, 10, -7, -10, -10],\n [8, -5, 16, -2, 1, 3, 19, 18, -12],\n [8, 12, 6, 7, 13, 15, 11, -3, 5],\n [-5, 11, 12, 3, -15, -7, -1, 5, -7],\n [19, 3, -14, -18, 19, 5, -1, 4, 9],\n [11, -14, 0, 0, 2, -9, -17, -2, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2280", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-20, 10, -19, -19, -10, -12, -18, 12, 2],\n [-3, -11, 10, -5, 6, -17, -20, -9, 19],\n [-12, 8, 16, -20, -2, -8, -12, 1, 4],\n [-12, 14, -12, -14, -4, -9, -12, -15, 3],\n [-2, -4, -7, -20, -3, 9, 3, -5, 20],\n [-3, -10, 16, 13, 17, -19, 15, 6, -13],\n [-5, -6, -20, 5, 10, 15, -18, -20, -17],\n [-11, 12, -14, -6, -12, -16, 12, 8, 4],\n [-2, -4, 8, 0, -6, 5, -18, 9, -4],\n [-15, -8, -14, 20, -5, -16, -4, -20, -12]]\nB =\n[[-8, 7, 20, 0, -14, -16, -13, 2, 12, -20],\n [9, 3, 2, 0, -8, 13, 20, 2, 17, 0],\n [1, 20, 20, 8, 2, 1, 13, -13, 3, -12],\n [10, -10, 17, 10, -18, 4, -8, -5, 1, -8],\n [-2, 7, 0, 5, 20, -4, -14, 5, 3, -4],\n [-7, -17, -5, -1, 12, 17, -3, 7, -3, -9],\n [16, -1, -16, 15, -10, 20, 11, -20, 1, 1],\n [-8, -16, 10, -5, 9, 5, -2, -12, -2, -16],\n [-11, 12, 4, -13, 5, 11, 2, -9, 17, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2021", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[11, 5, -19, 9, 18, 14, -16, -1, -4],\n [2, 12, 19, -9, 7, -16, 1, -19, 20],\n [-19, 12, -16, 3, -2, 17, 8, 20, -13],\n [17, -17, -14, 4, -19, -14, -13, 8, 18],\n [0, 0, 4, 10, 6, 12, 18, -7, 13],\n [10, 16, -15, 5, 8, 11, -16, -2, -12],\n [-4, 17, -20, -8, 0, -7, -2, -7, -13],\n [19, 4, -3, -8, 3, -12, 5, 2, 13],\n [-8, 19, 18, -7, 8, 17, 6, 1, 20]]\nB =\n[[0, 4, 8, 1, -8, 7, -8, 1, 6, 9],\n [7, 20, 20, -1, 14, -13, 11, 18, 0, 1],\n [3, 0, 15, -17, -10, -13, -17, -11, -9, 12],\n [16, -20, -4, -7, 13, 19, 6, 3, -3, -5],\n [-5, 14, -17, 13, 12, 2, -11, -10, -17, 7],\n [-9, -4, -16, 11, -19, -8, 0, -8, 11, 16],\n [20, -1, -20, 2, -8, -16, 20, 14, -17, 8],\n [-19, -18, 1, -7, -8, -19, -12, -5, -9, -19],\n [12, 17, 0, -6, -7, -10, -3, 4, -13, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 5, 19, -11, -13, 19, 9, 18, -15, 13],\n [-5, -2, -18, -8, -3, 20, 20, -14, 1, 10],\n [-2, -2, -6, -13, 8, -4, 13, 0, 8, -13],\n [-15, -17, 3, -1, -2, -4, 3, 16, 6, 2],\n [-7, -10, 2, -13, -9, -20, -17, 16, -17, -8],\n [10, 10, 11, 19, -17, 18, -14, -5, 17, -20],\n [-15, 1, 9, -13, -18, -11, 4, -13, 17, 15],\n [20, 2, 10, -19, -17, 13, -13, 11, -10, 2],\n [-15, -11, -17, -18, -9, -20, -7, 7, -10, 9]]\nB =\n[[19, -19, -15, 3, -7, 15, -19, -18, 5],\n [8, 2, -14, -17, -6, 2, 19, 1, 19],\n [-14, -3, 17, 4, -6, -15, 20, -9, -5],\n [5, 18, -13, 6, 6, -20, 20, 11, -18],\n [9, -4, -12, -14, 11, 8, -3, -16, 13],\n [18, -6, -15, 19, 11, -18, 4, 18, -4],\n [-10, 14, -15, 4, -4, 9, -11, 7, -18],\n [-3, -5, 5, -2, -4, 20, 7, -1, 17],\n [9, -8, -8, 11, 6, 2, 16, 11, -5],\n [-10, -1, -10, 4, 15, 14, 4, -19, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1401", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 3) when matrix A is multiplied by matrix B?\nA =\n[[15, -2, 5, 12, -17, -19, 9, -12, 20, -19],\n [8, -11, 19, -13, -19, 8, -2, 0, -13, 3],\n [11, -6, -15, -3, -8, -16, -5, -1, -18, -16],\n [18, 20, -11, -4, 10, 9, -7, -7, 8, -16],\n [-17, 11, 6, 12, -5, -14, -8, 2, -14, 17],\n [20, -5, 2, 19, 15, -1, 2, -7, 15, -17],\n [13, -3, 0, 8, 2, -4, -2, -1, 8, 2],\n [6, -3, 7, -12, 4, -2, 19, 6, -4, -16],\n [-16, 20, 8, 13, 19, 1, 9, 7, 11, 16],\n [9, 13, 11, 16, -13, 4, 13, -2, 3, 10]]\nB =\n[[1, -18, -20, -11, -15, -14, -12, 12, 1, -8],\n [18, 9, 20, 17, 10, 5, 13, -5, -4, -19],\n [5, -15, 17, -2, -1, -12, -19, 16, 9, 12],\n [5, 15, -6, 13, -6, -8, 4, 9, -5, 18],\n [-18, -10, 10, -14, 1, 19, -7, -14, 8, -7],\n [-2, -14, 1, 6, -9, 12, -12, -7, -3, -3],\n [-12, -14, 12, 12, 18, -10, -20, -10, 5, -14],\n [13, -13, 8, 14, -13, 14, -2, 6, 19, -1],\n [20, -6, -4, -17, -19, -14, -2, -9, -7, -16],\n [5, 4, -11, -1, -9, -14, 3, -20, 2, -12]]\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[[-9, -17, 19, -17, -15, -20, -6, -13, -8, -3],\n [2, 4, 8, -10, 5, -12, -6, -4, 12, -2],\n [16, 17, 3, 6, 8, 0, 7, 10, 12, 3],\n [18, -2, 8, -11, -4, 12, -1, -16, 18, -20],\n [15, 15, 0, 0, -6, -15, 7, -4, -17, 17],\n [-5, 19, -10, 3, 8, 9, -7, 1, 3, -20],\n [-2, 11, -7, -16, -14, 20, -1, -4, -17, -16],\n [-18, 8, 17, 9, 17, 1, -11, 3, -10, 0],\n [-14, 12, 1, 1, 10, 19, -18, 17, 4, 7],\n [-4, -13, -17, -1, -13, 3, 20, 5, 7, 13]]\nB =\n[[-13, 16, -17, -3, 13, 7, 17, -16, 8],\n [15, -15, 9, 10, 18, -7, 5, 5, -11],\n [-14, -5, -7, 20, 5, -20, 17, 9, 2],\n [-19, -17, 5, -7, -7, -20, 7, -1, -2],\n [-18, 12, 15, -7, -13, 18, -1, 1, 5],\n [14, 17, -7, 2, -16, -20, 5, -6, -9],\n [0, 16, -4, -12, -20, 10, -4, -1, -17],\n [4, 13, -14, 6, -19, -16, -17, -18, 4],\n [5, 6, 19, 12, -12, 14, 17, -13, -8],\n [-17, 20, -16, -7, -9, -1, -16, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5523", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 3) when matrix A is multiplied by matrix B?\nA =\n[[2, 16, 10, 17, 6, -11, 20, -19, -1],\n [7, -6, 14, -20, 3, 8, 5, -2, 13],\n [-1, -20, -5, 20, -8, 3, 3, 4, 14],\n [10, 18, -4, 19, 18, -7, 7, 1, 20],\n [-13, -20, -10, 8, -6, 20, -12, -4, 6],\n [-2, 14, -18, 19, -2, 2, -14, -13, -16],\n [8, 17, 8, 20, 8, 14, 2, -9, -4],\n [-6, -2, 2, -2, 8, 19, -4, -16, 14],\n [17, -10, 1, -19, -8, 5, 16, 12, 1]]\nB =\n[[-14, 7, 17, -16, 12, -19, 20, 18, -16, 2],\n [2, 16, 14, -17, -15, -15, 7, -8, -14, 17],\n [11, 16, 1, 14, 19, -2, 3, 12, -20, -1],\n [-14, -19, 17, 11, -16, 19, 20, -19, -18, -7],\n [1, -14, 12, 15, -6, -3, 12, -13, -6, 10],\n [7, -15, 15, 19, -12, 18, -17, 18, 20, -4],\n [-4, -2, -5, 0, 11, 6, 0, -8, 16, -4],\n [1, 16, -1, 0, -10, -3, -17, 15, 19, -19],\n [-16, 16, 13, 15, -14, 20, 10, 9, -8, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 8) of the result:\nA =\n[[8, -10, -9, 8, 6, 6, -8, -1, -17, -10],\n [-4, 19, -7, -7, 8, 6, 3, 15, -18, -16],\n [-8, -16, 13, -14, -12, 13, 7, -19, 7, 17],\n [-17, 3, -19, 17, 12, 3, 12, 13, -4, -1],\n [20, -1, 2, -16, 9, 0, 17, 17, -4, -6],\n [-2, 6, -3, 2, -12, -2, 18, 16, -19, 10],\n [11, -4, 5, 0, -2, -6, 18, 20, -17, -12],\n [12, 18, 6, -18, -19, -20, -17, -2, -20, 15],\n [-6, -20, 1, -8, -9, -3, -19, -14, -2, 13],\n [-20, 13, -3, -16, -7, 8, 3, -10, 6, 1]]\nB =\n[[-10, 0, 15, -17, -4, -19, -1, -10, 13, -19],\n [4, -8, -4, 11, -7, 0, 12, -5, 1, -10],\n [8, 5, 0, -2, 18, -6, 10, 10, 6, -14],\n [-12, -7, 9, -20, -4, -20, -3, 3, -3, -1],\n [7, 17, -8, 17, 19, -20, -9, 12, 16, -9],\n [0, -19, -15, -19, 2, 14, 17, -4, -16, -11],\n [-10, 19, 10, -18, 2, 10, 17, 12, 2, 3],\n [-4, -13, 13, -6, -5, 6, 6, -4, 1, 0],\n [-16, 17, 8, -15, -10, 5, 19, -6, 15, -13],\n [12, 15, 3, -13, 11, 3, -2, 14, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -4, -20, 20, 18, -4, -4, 7, 4],\n [-3, 18, 10, 19, -3, -9, 18, -6, 13],\n [16, -7, -18, -13, 9, 16, -18, -3, -16],\n [-20, -5, 1, 15, 16, -9, 16, -11, 14],\n [-13, -4, -10, 4, -10, 0, 5, 11, -4],\n [11, -11, -2, -15, -12, 18, -8, -6, 7],\n [-20, -12, -6, 5, 4, -11, 11, 16, 13],\n [20, -14, 8, 12, 16, 16, 2, 9, 2],\n [-1, -4, 18, -4, -20, 8, 5, -19, 14]]\nB =\n[[-9, -11, -8, 18, 4, 16, -15, 6, -7, 6],\n [1, 15, -14, -15, 10, -4, -14, -8, 1, -6],\n [10, -10, 0, -20, 2, 8, -20, 7, 18, -13],\n [14, 2, -3, -1, -13, 13, -2, -4, 18, 6],\n [-3, -20, 11, -1, -17, 19, 8, -16, 15, 4],\n [-15, -8, -4, 9, 18, -9, 3, -17, -18, -7],\n [10, -4, -13, 4, -10, 5, 5, 9, -11, 6],\n [-12, 5, -17, -16, 16, -5, -8, -19, -3, 6],\n [16, 16, -12, -19, 9, -3, 19, 17, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3813", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 10, -10, -13, 11, 4, 0, 10, -2],\n [-7, 3, -7, -9, -5, 10, 9, 1, 14],\n [-4, 18, 3, 5, 2, -16, -12, 13, 16],\n [-13, 19, -6, 5, 4, -3, -9, -5, 7],\n [7, 3, 17, -18, 2, -3, 13, 5, -18],\n [18, 13, 8, 1, 6, 19, 7, 3, -1],\n [16, 13, 6, -5, 0, -6, -8, -5, 8],\n [15, -6, -10, -10, 7, -4, -20, -1, 14],\n [-7, 14, -18, 10, 18, 16, 11, -14, -18],\n [4, 9, 8, -4, 0, -5, 4, 2, 8]]\nB =\n[[-14, -17, -18, -15, -20, 14, 10, -12, 15],\n [6, 10, 16, 6, -7, 3, -18, 19, -12],\n [2, 1, 10, -2, 11, -9, -15, 11, -13],\n [14, -6, 7, 1, 10, -12, -18, -12, -18],\n [-2, -17, -15, 20, -9, 13, 6, -12, 7],\n [3, 1, 16, 13, 6, 7, -9, 18, -3],\n [13, -15, 7, -20, -2, -3, -5, 17, -17],\n [9, -4, 3, -9, -10, 18, 11, -12, -10],\n [-5, -11, -6, 10, -2, -14, -17, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 9) of the product matrix AB given:\nA =\n[[14, -17, -3, -6, -20, -2, 13, 10, -3],\n [-5, 6, -4, -2, 2, -17, -6, -14, 4],\n [4, 10, -7, -9, 1, -20, 8, -16, -2],\n [1, 17, -7, -5, -15, 7, -20, -15, -19],\n [8, -16, 14, 11, -6, -11, -3, 10, -3],\n [-15, 12, -16, -1, 5, -4, 20, -7, -3],\n [6, 10, -6, 12, -5, -10, -19, -8, -18],\n [-1, -19, 2, 3, 6, 1, -20, 10, -8],\n [16, 0, 19, 6, 16, -1, 19, 15, -1],\n [15, 18, -20, -13, -19, 2, 0, 14, -20]]\nB =\n[[-1, 17, -19, -5, 3, 11, 8, -16, -9],\n [-18, -19, 17, 10, -15, 8, -1, -17, 8],\n [-11, 14, 6, -20, 20, 4, 2, -1, -10],\n [20, 4, -14, -17, -15, -8, 13, -1, 13],\n [-8, -15, -12, 9, 6, -12, -11, 17, -20],\n [-18, 13, 15, 12, -18, 10, -15, -5, -8],\n [12, -20, -12, 1, 13, 13, -20, 16, 20],\n [2, -3, -9, -16, -1, -2, -19, -17, 6],\n [-13, 13, 17, -14, 8, 19, -3, 20, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-13, -19, -12, 18, 20, -15, 8, -7, 19, -6],\n [-16, -10, 16, 2, -3, -11, 0, -15, -9, 17],\n [-15, -9, 18, -19, 6, -8, -9, -18, 4, 3],\n [12, -14, -10, -15, 11, 4, -16, -9, 0, 13],\n [-13, -6, -4, -15, 1, 2, 17, -15, -1, 12],\n [5, 17, -2, -17, -13, 7, 14, 7, -1, 5],\n [11, 9, 1, 11, -1, -7, -9, -20, 2, 7],\n [1, -11, 15, 4, 11, 2, -2, -4, 3, -15],\n [-2, -2, -9, 11, 4, 11, -17, 18, -19, 2]]\nB =\n[[-14, -1, 15, -4, 1, -14, 19, 2, -7, -11],\n [-20, -4, 19, -7, -4, -11, -3, 14, -11, -1],\n [-5, -4, 18, 7, -12, -1, -15, -8, -12, 12],\n [14, 1, 2, 4, 15, -14, -6, 8, -13, 16],\n [-11, -11, -8, -2, 2, -6, -4, -11, 19, 12],\n [-3, -17, -17, -6, 10, -19, -9, 12, -1, -19],\n [18, -20, -1, 3, -7, 16, 20, 8, 0, 11],\n [17, 2, 8, -7, -14, 2, -4, 13, 11, 16],\n [-16, -1, -13, -13, 3, 4, 6, 11, -14, -9],\n [-14, -13, -17, 7, -5, 19, 13, 6, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2507", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-20, 0, 11, -10, 2, -17, -19, -1, 7, -12],\n [-16, -11, -12, -18, 10, 14, -17, -14, -5, -5],\n [7, 18, -8, -1, -17, 3, 11, 1, -16, 13],\n [19, 11, 3, 16, -13, -3, -12, -19, -20, -14],\n [-1, -10, -1, -19, 12, 1, 7, 10, 14, -11],\n [1, -4, 17, -14, 16, -8, 8, 5, -18, 18],\n [-11, 16, 2, -1, 13, -17, 11, -3, -20, 2],\n [-8, -17, 17, -12, 16, 10, -19, -5, 20, 0],\n [0, -19, 15, -14, -6, 16, -12, -20, -5, 2]]\nB =\n[[3, 3, -11, 18, -10, 9, 19, 12, -14],\n [-15, -13, -5, 0, -17, 6, 14, -20, -5],\n [10, 17, -3, 16, -11, 2, -2, -14, 9],\n [17, 20, -3, -15, -9, -10, -19, 7, -3],\n [2, -8, -1, 3, -8, 6, -6, 0, 18],\n [-19, -11, -3, 16, -12, -9, -3, -18, -1],\n [14, 9, -18, -6, -3, 14, -11, 19, -13],\n [7, 12, -4, -8, 18, -2, 18, -6, 16],\n [-10, 12, -9, -5, -20, 1, -4, -2, -19],\n [-5, 18, 0, -20, 2, 2, -11, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24736", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 20, -7, -15, 16, 5, -6, -19, -20],\n [2, -18, -18, 8, 1, -7, -9, -5, 11],\n [-17, -15, 16, 17, 1, 18, -1, -13, 6],\n [3, 6, -1, -11, -1, -10, -20, 4, -9],\n [-11, -4, -15, -7, -3, 14, 5, -14, -9],\n [-13, -8, 3, 10, -17, -7, 19, -18, 16],\n [-20, 10, 8, -9, -16, -8, -14, 1, 16],\n [-10, -2, -12, -10, -14, 11, 0, -14, 8],\n [3, 3, 19, 6, -15, -14, 6, -11, 20]]\nB =\n[[-18, 1, -10, 10, -17, -19, 0, 15, 3],\n [-18, 10, -11, -11, 16, -10, -8, -1, 14],\n [6, -18, 2, 0, 10, 0, -13, 7, 1],\n [5, -13, 10, -18, -3, -9, 18, 10, 19],\n [14, 16, -1, -3, 8, -3, 16, -11, -16],\n [13, 19, 12, -2, -7, 5, -15, 18, 1],\n [-17, 13, -17, -19, 2, -1, 6, -8, 14],\n [20, -2, 0, -12, -10, 14, -11, 20, -15],\n [18, 0, -7, 18, 18, -9, 13, 18, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-454", "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, 17, 4, -9, -20, 5, 15, -8, -2],\n [16, 10, 8, 6, -2, -9, 3, 18, 0],\n [3, 1, 18, 10, -2, -8, 13, 13, 6],\n [13, 18, 6, 12, -17, 7, -14, 5, 5],\n [0, -4, 11, 6, -19, 5, 7, 0, 19],\n [18, 14, 5, 0, -15, 11, -19, -9, -3],\n [-7, -15, -19, 2, -5, -3, -19, -19, 2],\n [17, -19, -11, -5, 1, -5, 12, 19, 3],\n [4, 20, -10, 18, -9, 18, -15, -17, -8]]\nB =\n[[-19, -10, 6, 12, 20, 3, 1, 2, 15],\n [-20, 3, -8, -3, -14, 19, -17, -1, -11],\n [-14, 18, 4, -2, 19, -1, 8, -16, 9],\n [7, 18, 19, 7, 5, -20, -10, -20, -7],\n [0, -20, -7, -11, 5, 14, -1, -18, 4],\n [3, -15, -19, 9, -17, 13, -1, 14, -3],\n [16, -16, -6, 19, 13, 19, 17, -2, 0],\n [-17, 0, 10, 5, -11, -13, -3, -3, -8],\n [-19, -11, 19, -7, -18, -20, -6, 13, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27832", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[18, -11, -8, 10, 4, 0, -13, -13, -3],\n [-4, 18, -11, -9, -16, -1, 11, 16, 13],\n [16, 6, -14, -5, -6, -20, -3, -2, 4],\n [-20, 11, 11, 20, -11, 18, 10, 0, -20],\n [18, 3, 12, 5, 16, 2, -2, -3, 12],\n [-10, -10, 11, 14, 8, -18, -2, -17, 14],\n [14, -10, -2, 4, -1, 0, -10, -5, 5],\n [-11, -14, -16, -20, 9, 19, 3, -1, 6],\n [17, -6, 4, 17, -14, 12, -10, -8, -17]]\nB =\n[[9, 14, 0, -18, -15, 18, 18, -18, -5, -10],\n [-13, 5, -11, 12, 13, 8, -2, 4, 1, 6],\n [18, 17, -6, 6, -4, -20, -14, 20, 20, -2],\n [-4, -14, 11, 18, 4, 4, -4, -10, -1, 15],\n [17, -15, 20, -18, 20, 6, -18, -11, -11, 10],\n [-15, 3, 17, -6, -6, -18, 13, -2, 9, 13],\n [0, -18, 12, -4, 13, 19, 13, -2, -20, -14],\n [1, 12, 16, -15, -18, 14, -5, 5, 13, 14],\n [16, 19, 20, -16, -3, 20, 3, 9, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-619", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -3, 6, -20, -10, 18, -11, -12, 18, -4],\n [14, 14, -11, 12, -6, -12, -12, 6, 1, 18],\n [11, 19, -4, -20, -7, 10, -13, -8, -16, 7],\n [-17, 8, -10, 11, -7, -18, -14, 7, 12, -3],\n [8, 0, 13, 10, -7, -3, 17, 5, 4, -19],\n [12, 1, 16, 19, 0, -19, 10, -15, -15, 8],\n [2, 13, 16, -14, -16, 9, -18, -6, -13, 10],\n [2, -5, -6, 5, 16, 8, -2, -12, 11, -1],\n [-10, 13, 11, -20, 18, 11, -17, -17, 2, 4],\n [15, 14, -2, 0, -1, -6, 11, 12, -16, -15]]\nB =\n[[13, -20, -6, 18, -20, -2, 1, 5, -15],\n [-19, 19, 14, -8, 0, 20, 5, -17, 14],\n [-17, 8, 3, 2, -19, -11, 18, -16, -1],\n [-18, 17, 15, 15, -5, -18, 8, 7, 9],\n [-20, -10, -13, 5, -5, 6, 7, -8, 20],\n [12, -4, 12, 0, -5, -14, 10, 5, -5],\n [-5, 1, 20, -4, 11, 4, 3, 16, 17],\n [-12, -17, 10, -15, 8, -20, -12, -20, -19],\n [-16, 9, 15, -10, -3, 13, -15, 4, 4],\n [-13, 4, -2, 12, 17, 6, 9, 10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -5, 5, 10, 10, 14, -17, 16, -13, -15],\n [-5, -5, -7, -15, -3, 11, 12, 11, -6, 15],\n [5, 10, -18, 19, 15, 7, 9, 18, 14, 5],\n [-14, -19, 8, 0, -17, 15, -7, -15, -2, -11],\n [-14, 5, 11, -5, 4, 3, 20, 3, -19, -17],\n [5, -11, 12, 15, -5, 18, 0, -16, -15, 5],\n [-2, -6, 2, 20, -2, -7, -3, 0, 4, -18],\n [-4, -6, -7, 14, 15, -6, 1, -8, -5, -4],\n [-4, -15, 16, 7, 3, -13, 3, -17, 11, -18],\n [17, 3, 6, 2, 0, -1, -18, -2, 19, 15]]\nB =\n[[-20, 0, -11, 9, 8, -18, -9, 8, -16, -1],\n [-8, -18, -3, -13, 18, -6, -4, 12, -5, 15],\n [-17, 1, -15, -6, -16, -6, 8, -1, -2, -18],\n [13, 11, 9, 12, 14, -2, -20, -5, -20, 5],\n [6, 4, -2, -12, 9, -10, 8, 14, -4, 16],\n [7, 13, -19, -8, 0, 2, 17, -18, -9, -2],\n [-16, 13, 12, 12, -12, 7, -18, 9, 0, -2],\n [11, 5, -18, -10, 4, 18, -11, -20, -14, -4],\n [12, 9, 10, 6, 17, 10, 5, -3, -12, 7],\n [2, -14, 5, 0, 11, 8, 14, 6, -17, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34709", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 9) of the product of the following matrices:\nA =\n[[-10, 13, -8, -20, -1, 13, 10, 6, 6, 5],\n [-6, 6, 18, -20, 6, -12, 9, -9, -12, -17],\n [10, 19, -18, -4, 13, 11, 18, 20, -19, -10],\n [-13, 14, 16, 6, 8, -12, -12, -4, -19, 1],\n [-4, -19, 3, 17, 5, -4, -18, 1, 12, -15],\n [19, -9, -4, 12, 18, 4, 11, -7, 11, 11],\n [-15, 9, 13, -9, 17, 0, 18, -12, -8, 19],\n [-8, 16, -2, -14, 12, -10, -11, -7, -10, 0],\n [20, 18, 18, -10, 6, 20, 3, -20, -7, 16]]\nB =\n[[6, -11, 11, -10, 9, -6, 15, -20, 1],\n [-11, 9, 3, -14, 12, -9, 16, -7, -4],\n [-12, 3, -11, 5, -17, -17, 6, -6, -6],\n [-9, 10, -9, 14, -11, -1, 2, 3, -5],\n [-18, -14, -18, 5, -6, -19, -9, 10, -15],\n [11, -14, 11, 4, -6, -2, 18, 16, -1],\n [-1, -7, 5, -15, -14, -11, 5, -12, -17],\n [2, -10, 4, 12, -13, -10, 9, 1, -18],\n [14, -15, 17, -1, 20, -8, 8, 16, 9],\n [18, 0, -1, -2, 4, 13, 19, -17, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "414", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-18, -10, 16, -1, 13, -13, -7, 2, -15, -13],\n [-7, 1, 1, 5, -10, -7, -3, -13, -10, 13],\n [-19, -3, -9, -18, 0, -2, -17, 13, -7, 5],\n [7, -4, -1, -5, 6, -2, 1, -18, 11, -8],\n [-8, 5, 14, -7, 14, -1, -11, -1, 2, -12],\n [-10, -5, 0, -9, -16, -19, -5, -13, 17, -3],\n [-15, 10, -17, -8, 3, -11, 17, -9, -18, -3],\n [9, 4, -20, -15, 16, 13, -6, -7, 20, 20],\n [-15, 20, 16, -19, -15, 10, -9, -20, 14, 2],\n [-2, -15, -19, 2, 7, 1, 15, -19, -4, 14]]\nB =\n[[-10, 1, -12, -19, -15, 16, -10, -10, 1, 16],\n [-16, 4, -15, -12, -18, 5, -4, -6, -18, 8],\n [8, 10, -2, 19, 16, -15, -20, -11, -12, 18],\n [-6, 0, 7, -1, 12, 12, 14, -17, 7, 15],\n [0, -16, -7, -9, -15, 6, 15, -9, -20, -15],\n [3, -4, 14, -16, 18, -12, -5, -13, -3, 10],\n [-3, 1, 3, -1, -1, -4, -19, 13, 17, -5],\n [18, 6, -17, -3, -11, -19, -3, 10, 15, 19],\n [5, -9, -18, 17, 9, 15, -3, -8, -18, -17],\n [-9, -10, -10, 0, 2, -4, -20, 17, 11, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3511", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 8) of the product matrix AB given:\nA =\n[[-7, -20, 17, -12, 9, 13, 5, -4, 1],\n [-2, -8, -5, 7, 20, 19, -3, 20, -9],\n [-4, -2, 15, 16, 18, -2, 3, 6, 16],\n [-20, 16, -1, 5, 18, -18, -9, 12, 3],\n [-1, 1, -6, -1, 2, 2, 11, -11, 9],\n [-2, 10, -1, -17, -1, -12, 5, -2, 6],\n [18, -2, 11, -11, 15, 3, 16, 15, 20],\n [-2, 20, 3, -7, 17, -6, -10, -6, 1],\n [-17, 3, 5, -16, 17, -9, -19, 17, 18],\n [9, 7, -16, 20, 6, -13, 20, 12, -7]]\nB =\n[[-2, 7, 15, -4, 9, 16, -9, -14, 12, 1],\n [10, 4, 3, 11, 2, 9, 15, 20, -6, 5],\n [-14, 9, 4, 2, 6, 16, 10, 8, -4, -14],\n [-17, 14, -3, 19, -16, 12, -14, 1, 5, 6],\n [-20, -8, -11, 2, -9, -6, -9, 3, 11, 5],\n [-5, 14, 19, -5, -3, -3, -5, -6, 2, 14],\n [-14, -13, -16, 8, 7, 9, 16, 5, -8, 20],\n [-4, 13, 8, -14, -7, 15, -5, -6, 19, -14],\n [15, 12, -15, -20, 2, 14, 18, -15, -11, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-16, -9, 11, -16, -19, 20, 12, -15, 5],\n [5, -13, 4, 2, 17, -4, -5, 6, 4],\n [11, 4, 11, 19, -2, 1, -2, -10, 1],\n [-1, -5, -10, -15, 20, -18, -2, -11, 11],\n [0, 10, -15, 16, -17, 14, -8, 18, -9],\n [2, -18, -4, 1, 8, 6, -14, -17, -10],\n [12, 14, 7, -3, -15, 2, 13, -5, 2],\n [14, -15, 3, -6, -12, -13, 12, 5, -4],\n [10, -10, 5, -17, -13, 3, 2, -7, 18]]\nB =\n[[-2, -19, -17, -10, 11, -2, 4, 12, -8, 20],\n [-18, -6, 9, 15, -10, -17, 7, 18, 9, -19],\n [-7, -2, 10, 12, -11, -17, 19, 15, 8, -8],\n [-5, 10, 17, 12, -10, 5, -17, 13, 17, 16],\n [-13, 18, 9, -1, -5, -6, -17, 15, 6, 15],\n [13, -2, 19, 0, 0, 4, -4, -3, 19, 6],\n [-17, 10, -2, -4, 13, 14, -4, -1, -5, -16],\n [13, 18, -14, -12, -7, -5, 3, -13, 5, -4],\n [5, -18, -14, -16, -1, 17, 19, -16, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-994", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, -10, -3, 0, -15, -18, -11, 0, -12, 20],\n [-3, 13, -7, -18, 16, 7, -7, 2, -9, -4],\n [15, 18, 14, -11, -7, 4, -2, 0, 20, 9],\n [18, -9, 19, -11, -8, -18, 14, 13, -20, -18],\n [5, 9, -17, 16, -13, 18, 16, 10, 9, 5],\n [-5, 1, 11, -8, 4, -7, -20, -4, 19, -5],\n [0, 18, 6, -14, 7, 10, 14, 12, 8, 18],\n [3, 15, -4, -15, 12, 5, -14, 16, -5, -19],\n [2, 20, 18, 11, 15, 8, -13, -6, -7, -15]]\nB =\n[[-8, -9, 6, 13, -10, 7, -14, 14, 14],\n [-1, -10, 0, -19, 0, 6, 1, 4, 15],\n [10, -5, 16, 0, 8, -20, 20, -18, 5],\n [14, -12, 7, -12, -8, 2, 20, 17, -18],\n [0, 10, -6, -4, -7, -5, -4, 5, -7],\n [15, 1, -18, -18, -6, -17, 11, -5, 9],\n [12, 16, -13, 10, 9, 17, -18, -1, -16],\n [-16, -19, 5, -5, 19, 11, -19, 20, 6],\n [-6, 2, 1, -1, -20, 14, 8, 1, 8],\n [1, -10, 0, -10, 1, -12, -14, -17, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "909", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, 18, 6, 16, 8, -5, -8, -14, 9, -11],\n [16, 18, 9, 15, -9, 12, -20, 2, 4, 17],\n [-5, -8, 14, -12, 8, -9, 16, 14, -17, -16],\n [4, 7, -5, -1, -14, 16, -4, -4, 6, 0],\n [13, 19, -1, 11, 17, 1, -6, 15, 7, -19],\n [12, 16, 1, 7, -11, -5, -7, 14, 6, -10],\n [-14, 19, 13, -16, 18, 3, 5, 14, 1, 20],\n [-17, 17, -1, 16, -18, 15, -17, -15, -9, -20],\n [3, -2, -17, 10, -17, -1, 15, -18, 7, 8]]\nB =\n[[-3, -11, -9, -8, 16, 2, 12, -19, 9],\n [14, 9, -1, 5, 13, 3, -4, 13, -1],\n [16, -15, 14, -13, 6, -19, -12, 2, 3],\n [1, -7, 0, -9, 18, 15, 12, -20, 2],\n [-18, 2, -7, -12, 6, -5, 4, 7, 4],\n [10, 2, -10, 13, -9, 6, 6, -1, -12],\n [-13, -8, 20, -20, -20, 13, 10, -17, -6],\n [-6, 18, -1, -17, 1, -7, 0, 4, 0],\n [17, -13, 5, -11, 13, -8, -5, 8, 11],\n [-3, 8, -3, -17, 2, -4, 16, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2418", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[14, 8, 15, 6, 1, -11, 3, -15, 2],\n [8, 10, 1, -18, 16, 15, -15, -4, -19],\n [1, -15, 3, 3, -5, 15, 13, -14, 20],\n [1, 0, -4, 0, 6, 16, 0, 20, 1],\n [20, 7, 5, -10, 4, -17, -9, -18, -14],\n [17, 1, 12, 15, -19, 17, -19, -16, -1],\n [10, 1, 19, 6, -6, 10, -8, -15, 8],\n [4, 4, -17, -14, -10, 1, -17, -11, -13],\n [-9, 20, 4, 8, -15, -15, -8, 4, -9],\n [-13, -13, 7, 1, -18, -3, -11, 15, 0]]\nB =\n[[8, 13, 20, -10, -7, 12, 14, -4, -17, 20],\n [6, -1, -14, 19, 3, 4, -9, 2, 0, 20],\n [-16, -3, 16, -5, 20, 12, -14, -11, -17, -1],\n [-9, -5, -3, -18, 14, 7, -14, 5, 8, -13],\n [3, -12, -19, 5, 19, -9, -1, -1, 4, 7],\n [-1, -19, -16, 13, 2, 13, 20, -5, -20, -5],\n [20, 15, -2, -2, 18, 13, 9, -12, -6, -11],\n [-18, -5, 17, -6, -12, -18, -15, 6, -14, -6],\n [12, 3, 3, -2, 2, 7, -17, 4, -6, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34254", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[16, -19, 0, -9, -9, -12, -16, -3, 18],\n [-20, 8, 19, 14, -1, -1, 10, 1, 20],\n [20, 19, -9, -15, -18, 17, 10, 15, -1],\n [18, -19, 9, -5, 13, 4, -1, -18, 19],\n [-4, -4, 16, 16, 1, 9, 18, 4, -18],\n [-2, -13, -3, -11, 17, 0, 13, -3, 13],\n [13, 10, -5, 13, 14, -1, 5, -18, -12],\n [1, -18, -8, 13, -9, -6, 20, -12, -7],\n [17, 5, 6, 13, 11, -5, 10, -6, 18]]\nB =\n[[17, 18, 8, 1, -17, 9, 11, -17, -20, 17],\n [16, 15, 19, -14, 17, 16, 3, 12, -6, 4],\n [4, -7, -9, 19, -9, -5, 4, -10, -16, -7],\n [8, -19, -19, -9, -16, -9, 12, -11, 14, -8],\n [18, 19, -11, -6, 17, -12, 5, -19, 13, 1],\n [-9, -4, -3, 0, 1, 0, 14, 17, 4, 15],\n [-8, -2, -6, -11, -14, 3, -8, 20, 6, -14],\n [-15, -5, -16, 16, -8, 5, -4, -10, -7, 1],\n [18, 10, 20, 14, 20, 14, 8, 8, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2422", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-16, 7, 10, 1, 7, 6, 5, 5, 6],\n [7, 17, -2, -14, 20, 8, 3, 1, -13],\n [-1, 2, -9, 20, 7, 2, 0, 4, 12],\n [-17, -12, 20, 0, -20, 4, 11, -4, -7],\n [0, -18, 15, -20, -4, 1, 18, 10, -10],\n [-17, 16, -2, 10, 6, -3, 18, -7, -16],\n [2, 16, 5, -10, 6, -1, -7, 18, 18],\n [16, 19, 7, 20, -16, 12, 10, 5, -14],\n [13, -18, 3, -14, 7, 11, -14, -12, -6]]\nB =\n[[-12, 13, 16, -17, 17, -7, -3, 20, -17],\n [-18, -2, 6, 9, -8, 12, -17, 14, -2],\n [18, 11, -16, -4, 14, -4, -4, 4, 20],\n [-13, 7, -2, -13, -12, -3, -18, 6, 13],\n [-5, 9, 15, -11, 15, 2, 8, 10, 19],\n [10, -4, -16, 13, 4, 3, -8, -10, 19],\n [-3, 10, -19, 1, -7, -7, -10, 15, -12],\n [-17, 11, 17, -7, 9, 12, -7, 10, 10],\n [-6, -20, -13, 4, 5, 3, 14, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2416", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 9) of the product matrix AB given:\nA =\n[[-8, -5, 8, -11, 11, -3, -10, -14, 3],\n [-9, -5, -10, 9, 12, 12, -16, -4, 13],\n [-5, -12, 11, 15, 6, 9, -6, 6, 1],\n [1, 3, -7, 17, -15, -4, 7, 3, -6],\n [7, -7, -10, -20, -4, 4, -19, -19, 18],\n [-6, -8, -9, -10, 8, -10, -17, -20, 6],\n [14, -8, 10, -10, -11, 16, -13, -5, -16],\n [0, -13, 14, -16, -8, -8, -16, 12, -5],\n [-1, 17, 7, -5, 11, 11, -10, -19, -17]]\nB =\n[[-8, -16, -14, -8, 1, -19, 19, 5, 8],\n [-13, -1, -18, 20, -15, -20, -2, 19, -9],\n [-19, 20, 15, 16, 19, -12, 14, 20, 19],\n [2, -13, -6, 2, 15, 16, -9, -3, 5],\n [9, 7, -9, -13, 12, -7, -20, -20, 6],\n [13, -13, -11, -1, 16, -20, 9, 4, 9],\n [5, -3, -11, -14, -11, -15, -17, 19, -11],\n [5, 20, 6, 11, -15, 8, 18, 2, 10],\n [15, 16, -16, -16, -15, -1, -15, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "586", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[12, -7, 11, 15, 1, 9, -20, -9, -15, -7],\n [-4, 11, 14, 3, 18, -18, -5, 3, -5, -11],\n [-3, -9, 1, 20, 18, 16, -2, -2, -19, 1],\n [19, -6, -17, -7, 6, -1, 15, -16, 18, 5],\n [4, -13, 12, 19, 12, 9, -9, -6, 16, 4],\n [15, 17, -20, 17, -14, -6, 18, 11, -13, 9],\n [-1, 8, -19, -6, 9, -15, 2, -1, 6, -17],\n [6, -16, -4, 0, 14, 14, 14, -1, 14, 11],\n [-13, 5, -20, 4, -16, 5, 15, -14, 19, 6]]\nB =\n[[-13, 1, -13, 5, 12, -1, -13, -19, 4],\n [-17, -18, 20, -1, -3, 4, -13, 18, -7],\n [-14, -13, 16, -13, 20, -1, 11, 5, 17],\n [-6, 11, -11, -9, 6, -8, -11, -7, -8],\n [-1, 3, -5, 5, -16, 9, 1, 18, 9],\n [4, -3, 15, -12, -3, 2, -9, -10, -20],\n [-20, -16, 6, -14, -3, -2, 17, -17, 9],\n [20, -16, 18, 20, -2, -17, -16, -3, 20],\n [16, 7, -4, -5, -4, 6, 6, -20, 6],\n [14, 16, 13, -20, 6, 3, 0, 19, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2859", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-16, 20, -3, -14, -3, 4, 11, -20, -11, 11],\n [-12, -1, 4, 7, -5, 7, -1, 6, 5, 5],\n [5, 1, 17, -14, -17, 15, 3, 18, 9, 16],\n [16, -12, 2, 8, -16, 12, 19, 14, -8, 2],\n [5, 13, 17, 6, 17, -12, -4, 18, 1, -7],\n [-9, -4, -8, 5, 5, 12, 2, 2, 6, -6],\n [-7, -18, 7, 6, 20, 19, -16, -19, 18, -10],\n [3, 10, -4, 0, 16, -15, -5, 11, 19, -15],\n [1, -10, 16, -13, 18, -13, -3, 2, -14, 16],\n [17, 4, 8, -6, 18, 19, -18, -2, -6, 14]]\nB =\n[[-11, -7, 8, -16, -2, 10, 7, -9, 17],\n [15, -2, 9, -13, 10, 12, -19, -12, 17],\n [18, -19, 5, 13, 10, 1, -8, -3, 6],\n [-13, 17, -20, 14, -7, -14, -19, -14, -14],\n [-16, 19, -13, 2, 10, -2, 7, 4, 12],\n [17, 10, -14, 9, -3, -9, -17, 4, 4],\n [-7, -20, -6, 15, -7, 18, -11, -10, -5],\n [-19, 11, -17, 16, -1, -3, -12, 17, -3],\n [18, 9, 5, 9, -4, -7, 7, 4, 11],\n [-9, -6, -15, 19, -19, 14, 10, -15, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3765", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-19, -11, 5, 16, 18, -15, -1, 0, -11],\n [3, -6, 13, 17, -9, 9, -8, 7, -4],\n [-15, -19, -7, 3, -20, 13, -14, -11, -5],\n [-2, 5, 15, 19, 17, 13, 7, -5, 2],\n [2, -13, -12, 5, -12, -12, 18, -1, -16],\n [-7, 4, -3, 11, 2, 17, -6, 17, -9],\n [-4, 13, 2, 15, -3, 11, 19, 20, 5],\n [-5, -9, 11, 1, 1, 3, 8, 19, 14],\n [-1, -8, -16, 17, -3, -9, 9, -20, 10]]\nB =\n[[-6, -2, -16, -5, -15, -11, -5, -16, -20, -16],\n [-9, 17, 16, -1, -13, -13, -14, 9, -2, 4],\n [-6, -20, 4, 14, 7, 0, 2, 8, 12, 5],\n [-8, -17, 12, -11, 18, -1, 17, 10, -8, 13],\n [-10, 6, -14, -6, -10, -19, -10, 20, 20, 4],\n [-6, -19, 1, -11, 15, -15, 11, -8, 11, 15],\n [-19, -8, -14, 11, 16, 15, 8, 18, -10, -9],\n [15, 6, 6, 9, -20, 5, 14, -13, 7, -17],\n [10, -9, -4, 16, -3, 13, 1, -9, 20, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8321", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 5, 13, -8, -18, 15, 17, 14, -16],\n [16, 2, 13, -14, 7, 10, 20, -11, 16],\n [14, 4, -15, 17, 16, 10, 3, 8, 14],\n [16, 14, -19, -6, -20, 4, -11, 13, 19],\n [-16, -3, 11, 4, -19, 10, 11, 0, -3],\n [-12, 2, 17, 2, -5, -6, 3, 20, 17],\n [-5, 0, 5, 14, 5, 15, -18, 5, -14],\n [2, 20, -2, -8, 2, -20, -15, -13, 17],\n [7, 7, -5, 11, 2, -15, -14, -14, -12],\n [5, -2, 6, 20, -8, 0, 7, -17, -13]]\nB =\n[[12, -6, -14, -15, -5, -19, 4, -2, 16],\n [-16, -1, 2, -6, -12, -14, 16, -18, 3],\n [0, 9, -3, -5, -4, 6, -11, -1, 0],\n [-6, -10, -11, -7, -12, 9, -6, -4, 11],\n [12, -5, -2, -19, -17, -16, 17, -13, 19],\n [3, 10, 0, -7, -14, -18, 5, 7, -2],\n [-8, -20, 18, 17, -12, 0, -20, -13, 1],\n [5, 7, -4, 0, 7, -3, 12, 8, 10],\n [-9, -2, 12, 9, -15, -1, 12, 8, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28282", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 2, 16, 6, 2, 17, 9, -3, 9],\n [-2, -20, -17, -4, 16, -15, 19, 20, 10],\n [17, 1, 0, 1, 14, 8, 3, -4, 15],\n [2, -11, 8, 16, 6, -1, -9, 17, -15],\n [5, 3, -19, -17, 9, -19, 11, -15, -20],\n [2, 8, -13, 3, -8, -9, -16, -2, -3],\n [-6, -9, -10, -16, -2, -19, 15, -12, -13],\n [10, 9, -7, 2, -14, 0, -13, -17, -13],\n [20, -10, 3, -12, -4, -3, 0, 10, -12]]\nB =\n[[13, -4, 0, 2, 15, 13, -11, 9, 15],\n [11, 6, -20, -4, -12, -3, 1, 9, -10],\n [18, -6, 15, -9, 5, -15, 14, -19, 2],\n [-17, 17, -18, -12, -2, -19, -2, -20, -14],\n [-11, -16, 19, -14, 17, -11, 3, -15, 18],\n [-14, 9, 6, 12, -18, 18, -17, 16, -16],\n [17, 10, 19, 1, 20, -13, 11, -5, -7],\n [15, -15, -6, -10, 5, 0, -4, 6, 10],\n [-7, 12, -19, 2, 17, 16, 5, -19, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1222", "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, -8, -17, 3, 3, -10, 19, -4, 18],\n [2, 18, 15, 15, -16, 9, -14, -19, 19],\n [9, 8, -6, -10, -14, -2, 9, 17, -14],\n [15, -7, 3, -16, -10, 18, 6, 5, -5],\n [-12, -13, 10, -7, -13, 17, 8, 11, -1],\n [1, 1, -20, 12, 20, 16, 10, 18, -6],\n [-15, 12, -15, -10, 1, -3, -11, 7, 5],\n [-3, -13, -15, 5, 10, 12, 8, -2, 6],\n [-3, -17, 2, -13, 19, 3, -16, -10, -7]]\nB =\n[[-10, -8, 1, 19, -7, -1, -20, 0, 4],\n [7, 16, 11, 15, 15, -19, 19, 8, -5],\n [6, -12, 19, -16, -8, 4, -16, -12, -2],\n [-16, 11, -13, -2, -18, 2, -11, -1, 17],\n [0, -2, -7, -19, 11, 5, 16, 19, 7],\n [3, -3, -4, 16, -2, -8, -1, -4, 6],\n [-17, 10, 5, 16, -20, -9, -5, 13, 3],\n [20, 3, 16, -17, -13, -5, -12, 20, 3],\n [18, -20, -18, -12, 15, -10, 20, -18, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, -5, -7, 15, -18, -15, -5, 19, 11],\n [13, 11, 12, -8, 7, -3, 16, 3, -20],\n [8, 6, -7, 3, -6, -11, 3, -5, 10],\n [8, -12, 15, -10, -2, -5, -12, 6, 13],\n [-10, -2, -13, -1, 20, -10, -8, -4, 2],\n [-9, -12, 6, 4, 2, 18, -12, 4, 4],\n [-11, -6, 16, -18, 3, 3, -12, 12, -7],\n [-18, -15, -5, 14, -4, -16, 1, -5, -8],\n [-9, -11, -11, -7, 12, 18, 20, 20, 7]]\nB =\n[[1, -3, -6, -4, -19, -12, -8, 0, -7, 20],\n [-6, -19, 6, 13, 0, 16, -8, -14, 14, 3],\n [-20, 0, 20, -1, -2, 0, -3, 18, 4, -1],\n [16, 10, 0, -5, -14, 20, 19, 11, -14, 19],\n [-9, 13, -3, -8, -20, 13, -20, 4, -12, 0],\n [-14, -2, 10, 12, 7, 0, 17, -18, 0, -10],\n [18, 6, 14, 0, 10, -13, 11, 2, 16, -18],\n [-11, 2, 18, -16, 19, -18, 17, -17, -10, -10],\n [-2, -17, 11, 10, 15, -3, 12, -18, -15, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2664", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -20, 14, -8, 12, -1, -12, -11, 13, -2],\n [-6, 17, 16, 3, 16, 0, 12, 10, 1, 6],\n [-2, -10, -8, -14, 6, 3, 4, 2, 16, 1],\n [1, -18, -10, 3, 4, -3, 7, 18, -11, 13],\n [5, 15, 3, -1, 12, 15, 2, 4, -13, -15],\n [11, -13, 12, -19, -18, -19, -11, -16, 12, 1],\n [-17, -2, -11, -18, -13, -3, -19, 18, -11, -1],\n [9, -14, 4, -7, -11, -7, 12, -12, -2, 17],\n [0, 10, -18, -17, 11, -8, -3, -11, -4, 3],\n [-2, 12, -15, 13, 19, 15, -2, 15, -20, -8]]\nB =\n[[4, -9, 8, 6, 5, -13, 3, -1, -1, -20],\n [3, 3, 2, 13, -12, 11, -18, 17, 12, -8],\n [17, -12, -20, -8, 16, 0, -10, 16, -8, 13],\n [-20, -16, 19, -2, 0, 11, -16, -17, 13, -19],\n [-17, 2, -6, 14, 16, -19, 8, -7, 1, 2],\n [3, -1, 9, -2, -18, 13, -9, 13, -16, -14],\n [-6, 4, -3, 3, 3, 10, 18, -11, -17, -14],\n [5, -16, 9, -18, -13, -1, 11, -4, 17, 18],\n [3, 4, 19, -10, 5, -12, -17, 3, -9, 18],\n [20, 11, 20, -14, 2, -5, -17, -19, 12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2726", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 7) of the product of the following matrices:\nA =\n[[-2, 7, 6, 3, 1, 16, 8, 10, 17, 14],\n [1, 18, 16, -1, -4, 2, -1, 15, -2, -17],\n [2, -10, -20, -18, -2, -14, 16, -4, -11, 15],\n [17, 16, 20, -14, -12, 8, 1, 16, 9, 12],\n [1, -5, -18, -11, 19, -4, -10, 7, -4, 12],\n [9, 2, 17, -15, -4, -8, -2, -3, 12, -19],\n [4, 2, -10, -16, 20, -5, -10, -17, 8, -12],\n [-3, -3, 17, 6, -15, 15, 6, -10, 17, -12],\n [-8, -3, -3, -20, 8, 2, 16, 11, 6, -3]]\nB =\n[[-5, 17, 4, -20, -20, 12, -11, -15, 20, 3],\n [-15, -12, 12, -6, 17, 15, -13, 5, -14, -11],\n [-3, 5, -17, 20, -13, 4, -3, -16, -17, -13],\n [-19, -18, 9, -14, 3, -14, 15, -20, 9, 13],\n [-15, -20, 5, 18, 10, 19, 19, -19, -10, 20],\n [17, 9, 2, -5, 6, 15, 2, 12, 1, 18],\n [-5, -17, -6, -4, 10, 18, 10, 14, 1, 1],\n [-18, -3, 5, 14, 3, 5, 15, 0, -14, -16],\n [10, -6, -19, -3, -11, -19, -11, 19, -9, 1],\n [20, 0, 7, -18, 16, 7, -16, -16, -12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[16, 10, -7, 20, 6, 0, 2, 17, -17, -17],\n [-16, -8, 11, -16, 10, -6, -3, 19, -3, 7],\n [-13, 7, -7, -16, -3, -14, -3, -2, -5, -6],\n [11, -19, 8, 18, 5, 0, 12, 16, -6, 8],\n [-2, 10, 18, 18, 3, -6, 9, 4, -4, 8],\n [4, -18, 1, 15, -16, 19, -14, 6, -6, -7],\n [-9, -6, 19, 5, 6, -16, 1, 18, 0, 19],\n [2, 3, -16, -6, 13, 8, 16, 14, 4, -17],\n [5, 17, -17, 15, -19, -5, -7, 19, -1, -2],\n [-1, 7, -16, 16, -6, -2, 15, 5, 18, 9]]\nB =\n[[-9, -2, -12, 15, -16, 8, 11, -18, 4],\n [13, 10, 0, -11, 13, 8, 0, 20, -8],\n [11, 5, -3, 18, 5, 3, 10, -5, 16],\n [8, -9, -16, -11, -9, 19, 7, -20, 5],\n [13, 0, -3, 8, -11, 8, 14, 20, -1],\n [-12, -10, -10, 18, -15, 9, 1, -17, -16],\n [-15, 12, -15, -5, -18, -5, -8, 10, -9],\n [2, -13, -19, -14, 1, -17, 17, -8, 10],\n [-20, -11, -1, -16, 7, 14, 19, -13, 8],\n [10, -9, 16, -13, 2, -2, 15, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6806", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[13, 14, -8, -6, 9, 20, -18, 18, 6, 5],\n [7, 1, 13, 13, -11, 7, -19, 19, 11, -13],\n [5, -1, 19, 20, -2, -5, 17, -1, 14, 11],\n [20, -12, -7, 10, -11, -12, 6, 6, -16, 10],\n [-3, 13, -9, 3, 19, -13, 8, -3, 5, 6],\n [-8, -6, -11, -9, 17, -12, -4, 13, -10, 1],\n [5, -12, -15, 9, -19, -2, -6, -13, -18, 8],\n [-11, 2, 18, 5, 20, -14, -15, 8, 2, -9],\n [-1, 20, -16, -4, 4, -17, -3, 8, 15, 16],\n [-16, -7, -20, -5, -15, 3, -5, 3, -8, -5]]\nB =\n[[13, 8, 20, -8, -12, 15, 5, 4, -18],\n [-17, 2, -13, 17, -9, -9, 0, 16, -2],\n [-9, -9, 12, 9, -10, -2, 7, 5, 2],\n [20, 17, 16, -18, -10, 19, 7, 1, -6],\n [13, 11, -18, -11, -19, 1, -17, 3, 9],\n [-20, -2, 7, -5, 0, 20, 11, -20, -19],\n [10, -3, -4, -13, -11, 12, -5, 3, -16],\n [4, -9, -17, 15, -20, 14, 15, -2, 3],\n [-15, -10, -19, -7, 19, -7, 13, -20, 2],\n [-20, 7, 13, 11, 2, 14, 7, -16, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4118", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -1, -4, -16, -1, -16, -18, 11, 4],\n [13, -20, -19, -11, -3, -8, 1, -14, 10],\n [11, -19, 16, -17, 10, -13, -8, -19, -17],\n [9, 9, -4, -5, 11, -18, 7, -20, 4],\n [10, 6, -8, 6, 2, -17, -13, -2, -3],\n [14, 14, 14, -10, 16, -9, -5, -9, -13],\n [-20, -15, -14, -20, 18, -7, 13, 7, -20],\n [5, 15, 13, 4, 3, 15, -14, 19, 4],\n [10, 16, -8, -1, 8, 10, 3, -18, 13]]\nB =\n[[-15, 14, -8, 19, -10, -8, 7, -17, 1, 16],\n [-3, -19, 12, -16, -9, -5, 9, -3, 6, 6],\n [-10, -8, -19, 4, 12, 14, 3, -20, 4, -8],\n [13, -6, -15, -3, 7, 1, -13, 3, -9, 3],\n [-20, 19, 7, -13, -18, -4, -12, -10, 20, 13],\n [-1, -2, 13, -12, -2, 17, 4, 7, 12, 17],\n [-7, 5, 4, 10, 10, 6, 5, -7, -19, -15],\n [5, 13, -1, 20, 19, 15, -18, 14, 15, 6],\n [-13, 8, 11, -1, -11, -3, 12, -18, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6402", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[18, 18, -19, 1, 5, 2, 12, 7, 10, -18],\n [-18, -19, 8, 10, -6, -11, 1, 13, 16, 19],\n [-12, -7, -1, 14, -20, 5, -5, -5, -7, 4],\n [0, -6, -19, -16, -2, 20, -10, 7, -19, 12],\n [0, 7, 19, -4, -9, 20, 10, 4, -1, 2],\n [-15, -5, -18, 6, -10, -18, 2, 18, -13, -4],\n [-11, 5, 10, 19, 0, 5, 11, -6, 6, 1],\n [17, 6, -2, -13, 6, 16, 13, 8, 14, 20],\n [3, -19, 19, -5, -20, 14, -16, -10, 4, -13],\n [-6, 18, -18, 7, 7, -8, -15, -17, 16, 13]]\nB =\n[[-16, 19, 9, 20, -10, 10, -10, 15, -9],\n [3, -2, 14, -20, -15, -19, -1, -9, -11],\n [18, -13, 13, -18, -2, -1, 18, -18, -15],\n [13, -3, 1, 10, -10, -19, 3, -14, -14],\n [3, 11, 0, -4, 11, 4, 12, -4, 12],\n [3, 17, 15, -5, 4, -15, 6, 17, -10],\n [8, 9, 15, 6, -14, -19, -12, 3, 7],\n [-2, -6, -19, -7, -3, -11, -15, 10, 0],\n [2, -4, 18, 13, -14, -15, -20, -3, 14],\n [-18, -20, -18, -3, -6, -7, 16, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4706", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 5) of the product matrix AB given:\nA =\n[[-5, 8, -2, 3, -1, 7, 0, 2, -15, -13],\n [-10, 16, -11, -4, -9, -4, 17, 5, 3, -19],\n [13, 11, 3, 9, -7, 1, 8, -1, -5, -5],\n [-13, -19, 3, -5, -5, -19, -17, -11, 2, -7],\n [3, -11, 10, 5, -6, 6, 7, 0, -7, -14],\n [18, -15, 14, -5, 5, -17, -11, 20, 5, -8],\n [-13, 6, -9, 11, -5, 14, 1, -14, 11, 6],\n [-3, 20, -10, 18, -14, 8, -17, -4, 4, 17],\n [16, -11, 15, -5, -9, -4, -12, 19, 11, -3],\n [3, -13, 12, -9, 13, -18, 19, -20, 8, -16]]\nB =\n[[17, 0, 13, 9, -1, 10, 3, 19, 16, -19],\n [-11, 9, 18, -19, 16, -18, -9, 14, -20, -20],\n [8, 15, -12, -9, -9, -11, 1, 17, -2, -8],\n [18, -1, 15, 15, 5, 3, -6, 19, 14, -1],\n [2, 0, -5, 13, -17, -13, -3, 2, -3, 16],\n [-5, 5, 5, -3, 14, -1, -1, 11, -10, -8],\n [13, -8, 7, -14, 12, 1, 6, 10, 19, -15],\n [19, 8, 9, 2, 14, 11, -16, -18, 18, -6],\n [-19, 10, 12, 12, -7, 9, 13, 8, -13, -8],\n [-5, 4, 19, 12, 18, -18, -8, 17, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1233", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, -10, 12, 0, 2, 19, 0, 18, -3, -10],\n [-4, -20, -18, -16, 3, 18, 11, -3, 20, 19],\n [-1, -19, -13, -19, -3, -11, -18, -19, 13, -15],\n [0, -5, -5, -19, -5, 11, 17, -5, -13, 6],\n [-17, 11, 0, -7, -16, 3, 9, 15, 0, 9],\n [3, 2, 11, 5, -1, 13, -19, -12, -6, -19],\n [-20, 0, -12, 20, 6, 17, -1, 1, -4, -19],\n [-6, -12, 12, 12, -17, -20, -12, -13, -5, 8],\n [19, -11, 2, -11, 9, -20, -5, -15, -2, 13]]\nB =\n[[-4, -10, 8, 14, 7, -8, -17, -5, 13, 0],\n [-5, -1, 17, 14, 15, -4, 16, 2, 14, -15],\n [-20, 19, -20, -18, -6, -12, 13, 4, -4, -13],\n [-19, -15, 2, -8, 12, -11, 14, 20, 1, -8],\n [-16, -15, 20, -9, 2, 8, 10, -19, 1, -3],\n [3, -7, 17, 20, 13, -17, -11, -13, 17, 6],\n [9, -18, 18, 8, 11, 3, 7, 10, -2, 8],\n [-5, 12, 14, 2, -3, 18, 16, -8, -4, -13],\n [14, -4, -10, -2, 17, -8, 13, 1, -1, 15],\n [10, 10, -3, 7, -1, 13, 1, 15, -13, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 3) of the result:\nA =\n[[1, -18, -19, -12, -12, 5, -20, 20, -5, -3],\n [18, 10, -20, -20, 3, -7, 2, -13, -19, -16],\n [17, 12, -17, 18, -13, 8, 8, 16, 17, 9],\n [-9, 19, -13, -2, -18, 19, 2, -5, 7, 5],\n [-9, 3, -7, -3, 19, 2, -6, -18, 19, -11],\n [11, -12, -12, 1, -19, 12, 11, -10, 5, 9],\n [-5, -4, 4, 3, -11, -16, 8, 18, -5, 1],\n [20, 16, -12, 13, -20, -3, -2, -4, 18, 0],\n [-5, 13, -1, 17, -18, -11, 11, -12, -7, 14],\n [5, -17, -19, -20, -19, -17, 9, -17, -1, 16]]\nB =\n[[-12, 2, 7, 11, 0, 12, 18, 6, -14, -2],\n [-16, -13, 11, 16, 9, 20, 11, -17, 18, -15],\n [-18, -19, 0, 9, 6, -7, 8, -5, -17, -7],\n [-5, -10, 10, 15, 8, -11, 17, 17, 7, 14],\n [12, 10, -13, 10, -16, 18, 17, 0, 4, -12],\n [0, -19, 16, -15, -1, -8, -7, -18, 20, 20],\n [4, -6, -8, 7, -17, 17, 5, -2, -20, 8],\n [7, 14, -8, 12, -16, -7, -12, -17, -19, -7],\n [-18, -17, -14, -6, 7, -17, -9, -4, -4, -15],\n [-18, -9, 13, -20, -16, -15, -6, 0, 13, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, 15, -16, 5, -12, 0, 2, 2, 7, -14],\n [13, 8, 3, 6, 0, 13, -9, -4, -15, -20],\n [-12, 1, 17, -20, 7, -5, -11, 8, -7, -8],\n [-19, -1, -19, -3, -16, 5, -17, 18, 10, -17],\n [-10, -19, -12, -8, -5, -3, 16, 8, 11, -3],\n [6, -7, -12, 13, -10, 2, 4, -3, 19, -14],\n [12, 8, -15, -17, -4, 5, -4, 20, 7, 16],\n [-19, -11, 10, 16, -2, -12, 5, 15, 13, -3],\n [-3, -10, -8, 13, -4, 9, -2, 6, 9, -2]]\nB =\n[[6, -10, 13, 16, -5, 15, -2, -18, 19],\n [-19, 16, -9, -3, -12, 10, 9, -4, -8],\n [-6, -14, -5, -20, -5, 15, -20, -20, 16],\n [1, 7, 14, -3, -10, -4, 18, 16, 10],\n [20, 11, 12, 17, -5, 13, -7, 15, -6],\n [-4, -12, -7, 3, -10, 8, 4, -17, 11],\n [11, -18, -15, -2, -4, -16, -11, 6, 15],\n [11, 0, 11, 13, -6, -12, -19, 18, -15],\n [6, 0, 13, 19, 1, -13, -1, 17, -12],\n [-2, 11, -10, 7, 15, 0, -19, -14, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1301", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[15, 0, 17, 20, -8, 5, 2, -8, 15, 8],\n [-12, -1, 0, 20, -13, 5, 17, 6, 2, 10],\n [-7, -4, -13, -11, -6, 10, 2, 13, 2, 0],\n [-11, 1, 8, -4, 7, 19, 2, -20, -19, -4],\n [13, -8, -14, 5, 7, -14, -12, 4, 20, 18],\n [-13, -14, -15, -11, 6, -1, -18, 9, 9, 11],\n [10, 0, -1, -9, 14, -3, 2, 7, -7, -13],\n [-5, -20, -16, -16, 2, -3, 14, -17, 8, -5],\n [-1, 2, -16, 16, 8, -20, -20, 10, -13, 12],\n [20, 11, 19, -3, -13, 4, 19, -8, 1, -14]]\nB =\n[[11, 9, -17, 15, -2, 5, -7, -6, -13],\n [14, -9, -17, -9, 11, 20, 12, -11, 4],\n [19, -4, -10, 10, -6, -7, -10, -10, -5],\n [-19, 6, 0, 19, 11, -3, 0, -7, -11],\n [-16, -20, -6, 2, 5, -17, 5, 2, 7],\n [-8, -5, -11, -11, -20, 1, 17, 7, -15],\n [7, 3, 20, 8, -15, -20, 8, -16, -9],\n [-13, -14, -15, -13, 14, 5, -20, 6, 7],\n [10, -11, 7, -9, -6, -19, -3, 2, -11],\n [-15, -4, -18, -20, -11, -17, 16, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2367", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -4, 14, -4, -17, -7, 16, 12, -9],\n [-19, -15, 13, 19, 8, -10, -11, 15, -2],\n [-19, -19, -8, 10, 19, -20, -7, -5, -8],\n [4, 17, -14, 9, -4, 3, 17, -4, -4],\n [4, -12, -18, 11, -18, -20, 19, -13, 9],\n [14, 6, -8, -15, 11, -18, -17, 7, 2],\n [-8, 2, -18, 17, 3, -9, -12, -20, -1],\n [-4, 11, -16, -1, 5, 18, 7, -14, -13],\n [2, -14, 3, 2, -3, 3, -8, -13, 2]]\nB =\n[[20, 19, -2, -2, -11, 14, -11, -13, -9],\n [3, -14, 1, -19, 15, -1, -6, -2, -10],\n [-19, 20, -15, 20, 0, -20, -6, -2, 17],\n [-4, 11, -3, 5, 16, -11, 13, -3, -1],\n [-4, -3, -1, -18, 12, 7, 1, 19, -4],\n [2, 14, 14, 11, 4, -3, -8, -3, -11],\n [10, 20, -2, -13, -13, -4, -15, -6, 14],\n [-20, 16, 4, -15, 2, 1, 17, 12, 3],\n [9, 5, -20, -5, -2, 15, 7, -16, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28688", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -9, -15, -20, -20, 15, 7, -12, 1],\n [-16, -7, -5, -9, 18, -1, 2, -3, -14],\n [-16, 17, -19, -20, -4, 20, -8, -12, -9],\n [-13, 4, -9, -9, 12, -3, 15, 19, 11],\n [19, -17, 19, 6, 8, -19, -9, 20, -2],\n [-2, 5, 0, 1, 16, 18, -9, -1, 15],\n [-20, -14, 14, -9, 11, 4, -13, -6, 20],\n [17, -5, -14, 18, 19, 4, 12, -16, 9],\n [-19, 13, -7, -11, 18, 0, 4, 16, 18]]\nB =\n[[10, -7, -16, 4, -19, 14, -1, -11, 19, -15],\n [12, -7, 5, 1, -7, 15, 2, -5, 4, -2],\n [-10, 9, 4, 10, -4, 5, -15, -10, -20, -8],\n [-5, -10, 1, 15, 11, -18, 6, -5, 16, 6],\n [14, -19, -3, 4, 15, -2, 4, 18, 0, 17],\n [19, -9, 8, -14, 8, 11, -10, 16, -6, 5],\n [-19, 8, -17, 13, 14, -11, 13, 3, 19, 9],\n [-16, -16, -11, 14, -10, -4, -20, 15, -15, 9],\n [14, -8, -20, 2, -8, 13, -5, -10, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5613", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-20, 1, 20, 4, -14, 0, 5, -3, 12],\n [3, -11, -8, 10, -3, -10, 11, 0, 20],\n [5, -13, -4, 15, 1, -12, -16, -7, -10],\n [10, -14, 18, 0, 8, -10, 17, -8, 19],\n [4, 15, 16, 9, 7, -17, 20, -1, -9],\n [-8, 5, 17, 15, 2, -1, -18, -10, 9],\n [-11, -8, -11, 10, 16, 4, 8, 0, -6],\n [-10, 13, -10, -13, 13, 20, 5, 0, 3],\n [11, -3, 5, 20, -5, 20, 16, -1, -6]]\nB =\n[[-17, 19, -5, -9, 14, 5, -12, -5, -6, -1],\n [-18, -16, 19, 18, -8, 8, -14, -13, 6, -12],\n [11, 15, 15, 17, 18, -10, 15, -14, 18, 0],\n [-6, 3, 20, 2, -12, -9, -13, 1, 13, -1],\n [11, -8, 18, -1, -13, -15, 14, 12, 4, -7],\n [12, 19, -5, 17, 20, 17, -18, 17, -11, 12],\n [-5, 10, 4, -7, -13, -12, -8, -7, -6, -16],\n [18, -8, -18, 12, -2, 10, 11, -19, -5, -16],\n [17, 9, -3, 15, 20, 17, 7, 12, -19, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29602", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[11, -9, 18, -15, -6, 11, -6, -11, -6],\n [12, 18, 14, -9, 16, 14, -17, -11, -1],\n [10, 10, 10, -1, -12, -8, 16, 20, 3],\n [4, 9, 3, -12, 8, -11, -7, 1, -9],\n [-13, -18, 5, -1, -4, 10, -8, 11, -15],\n [11, 11, 11, -20, 20, -10, -9, 0, 0],\n [-11, -12, -9, 11, 0, -3, 20, 18, -16],\n [-16, -14, -7, 20, 1, 12, 14, 8, -6],\n [10, 7, -3, -13, 12, -6, -14, 14, 15]]\nB =\n[[19, 16, -8, 20, 20, -10, 15, 2, 2, 15],\n [-17, 13, -14, 16, -1, 14, 8, 12, 15, -14],\n [11, -16, -6, 18, -19, 19, 15, -20, -5, -15],\n [-13, -5, 19, -9, -15, 16, -19, 19, -10, -10],\n [-11, 13, -10, 13, -10, 14, -13, -11, 11, 10],\n [-17, -18, 9, -10, 13, -18, 0, 20, -10, -10],\n [3, 14, 19, -8, 4, -16, -11, 17, 13, -17],\n [4, 14, 1, 2, 3, -11, -18, -10, 13, -5],\n [5, -2, 7, 17, 0, -4, -4, -13, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42043", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -2, 13, -6, -17, -20, 7, 19, -11, 7],\n [15, -3, 19, -18, -5, 7, -20, -6, -9, 11],\n [4, -5, 15, 18, 16, 0, -11, -9, -7, 6],\n [-3, 13, -10, -6, -16, 16, 18, 13, 4, 12],\n [12, -6, -20, 17, -14, -9, -17, 5, -11, -13],\n [4, 11, 17, 6, -5, 7, 1, -18, 17, 16],\n [-3, -7, 10, 7, -16, -13, -3, 2, 11, 15],\n [-9, 3, -18, 1, -19, 3, -13, 16, -20, 16],\n [-17, -13, 4, 11, -5, 10, -16, -8, -13, -10]]\nB =\n[[-18, 12, -17, 1, 13, 18, 14, -4, 11],\n [5, -6, 11, -17, 9, -2, -4, -4, -9],\n [-6, 8, -10, 6, -7, -6, -8, 13, -16],\n [-15, 8, 12, 3, 8, 12, -19, 13, 9],\n [-3, 1, -18, -5, -11, -6, -9, -9, 18],\n [-6, 6, -1, -14, 5, 6, -7, -8, -7],\n [-1, 11, 18, -19, -5, -3, 12, 12, 8],\n [4, 11, -11, -8, -18, 2, 5, -16, -4],\n [8, 11, 19, 13, 18, 10, -9, 17, 0],\n [1, 9, -1, 1, -19, -14, 17, 12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-966", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -15, 10, 15, -11, -2, -15, 13, -13],\n [-15, 20, 4, -6, 1, -17, -12, 1, -3],\n [3, 14, -18, -3, 4, -1, 18, 4, -8],\n [-7, 9, 19, 7, 9, 12, -3, 7, 16],\n [-12, -7, -16, 14, -14, -20, 14, 17, -19],\n [-17, -11, 14, 13, 18, 11, 0, 0, 2],\n [15, -6, -20, 8, 9, -2, 12, 3, -15],\n [-11, -3, -14, -11, 7, 18, 13, 13, 6],\n [-18, -14, -6, 18, 14, -20, -7, 20, 5]]\nB =\n[[1, -1, 15, 15, 14, -5, -15, 1, -14, 10],\n [-4, -5, 19, -7, -12, -5, -13, 6, -7, -19],\n [19, 3, -13, -14, -6, 2, 8, 6, -10, -12],\n [13, 12, 8, -7, 10, 17, 18, 6, -3, -10],\n [14, -3, -14, -2, 7, -14, -19, 11, 1, 9],\n [-7, -18, -12, -6, -15, 4, 19, -17, 0, -18],\n [-18, 18, 9, -18, 5, -11, -16, -7, -11, -12],\n [17, -18, -10, -18, 17, 17, 18, 20, -7, -18],\n [-15, -7, -5, 4, 6, 1, -10, 16, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5125", "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, 9, -13, 9, -13, 16, 8, -7, 15],\n [15, 18, -9, -8, -9, -7, -11, -13, 3],\n [16, 4, -13, -8, -18, -12, 19, -11, -2],\n [7, -3, -3, -13, 20, 19, -13, 15, 11],\n [0, -18, 3, -5, -2, 1, 1, -8, -9],\n [7, -13, -12, -1, -6, -17, 3, -15, 2],\n [19, -6, 9, -1, 6, 6, 13, 12, -11],\n [-12, -13, -7, -20, -11, -17, -3, 9, 20],\n [5, -7, 8, -12, 16, 1, 3, 14, 15]]\nB =\n[[10, -6, -14, 14, 6, 13, 4, -15, -17, -19],\n [18, -7, -17, 14, -8, 8, 13, 5, 18, 5],\n [-17, -7, -10, -18, 2, -13, 5, -7, -16, 1],\n [-7, -9, -18, 9, -1, -18, 12, -8, -3, -10],\n [5, -14, 5, -18, -20, -4, -9, 17, -12, -4],\n [18, -3, 2, 6, -19, 6, 20, -6, 16, -16],\n [10, 20, 16, 14, -2, 7, -19, 15, -1, -18],\n [-13, 19, 9, -9, 18, -4, -19, 16, 2, 18],\n [6, -2, -19, 11, 12, 19, 2, -7, -5, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[19, -1, 15, 8, -12, -12, 4, -4, -14, -5],\n [16, -3, 18, -7, -3, -13, 4, -1, -20, 3],\n [-8, -10, 17, 12, 9, -4, -16, 18, 1, -6],\n [-11, 17, -20, -6, 8, 0, -6, 14, -16, -2],\n [-7, -6, -2, 6, -5, -2, 2, 15, -3, 3],\n [-14, 4, -14, -16, 20, 3, -1, 0, -1, -11],\n [2, 12, -6, 13, -6, -16, -12, 6, 7, -12],\n [15, -12, 10, -7, -6, 20, -19, 11, 6, -14],\n [-7, 8, 19, -1, 18, -16, -3, -13, -14, 3],\n [1, -1, 6, -1, -15, -13, -6, 1, 14, -8]]\nB =\n[[7, -1, 8, -16, -18, 6, -16, -1, 2],\n [11, -9, 11, -5, 6, -20, -9, -8, -13],\n [18, 8, 18, -5, -16, 12, -1, 17, 15],\n [11, -19, -9, 18, -9, 13, 20, 13, -9],\n [-4, -15, 9, 1, 16, 2, -5, 5, 19],\n [10, -19, -18, 3, 6, 16, 15, -4, 19],\n [9, -17, 20, -3, 19, 6, 10, 17, 19],\n [-9, 10, 7, 15, 5, -8, -3, -4, 20],\n [11, 16, 1, 14, -5, -18, 1, 10, -5],\n [-19, 19, 1, -7, -7, -16, 6, -5, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-339", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[2, -11, 10, -4, 18, 6, 19, -6, 3, 14],\n [-8, -7, -15, -15, 11, 0, 0, 9, 1, -2],\n [-19, 12, -20, 3, 0, 19, -11, -9, 2, -9],\n [-5, -18, -19, -15, 1, -18, -12, 0, 16, 12],\n [-20, -20, -14, 16, 19, 20, -9, 11, 6, 8],\n [-19, -2, 4, 14, -20, 7, -3, -3, 3, 8],\n [-2, 10, 10, 1, 8, -1, -19, -17, -2, -14],\n [-5, 12, 18, -1, -17, -6, 9, 18, -7, -15],\n [1, -3, -6, 0, 15, -9, 6, -10, 10, -20]]\nB =\n[[4, 4, -4, -14, 11, 4, -3, 14, 5, -9],\n [18, -7, -13, 1, -9, 11, -8, 12, -20, 7],\n [-18, -5, 11, -11, -20, -14, -14, -17, -17, 4],\n [-16, -14, -18, 14, -10, -9, 18, -5, 20, -14],\n [0, -11, -3, 8, 5, 9, -20, 17, -6, 4],\n [-2, 7, 12, -6, -7, 17, 14, 11, -7, -8],\n [20, 0, -9, -6, 3, -1, -20, -7, -19, -13],\n [-10, -1, -4, -9, -1, -11, 0, -18, -17, 3],\n [16, 6, 10, -11, -17, -9, -6, 5, 13, -20],\n [-3, -12, 13, 9, -17, 3, 5, -14, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "631", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 7) of the result:\nA =\n[[13, -11, -10, 19, -14, 14, 19, 7, -6, 17],\n [20, -20, -7, -8, 1, 0, 20, 16, -3, 20],\n [-12, 18, 10, 15, -16, 10, -20, 1, -6, 5],\n [8, 20, 6, 13, 0, -9, 14, 13, 12, 2],\n [-13, 17, -2, 14, 6, 9, -1, 7, -11, 4],\n [-7, -20, 9, -8, 4, -9, 3, -15, -12, 17],\n [2, -15, 14, 7, -16, -1, -5, -1, 1, 2],\n [-9, 12, 18, 7, -17, 18, -13, 0, -9, 14],\n [-5, -13, -16, -9, 5, 16, 20, -12, 20, 7],\n [19, -13, -19, 1, 9, -5, 3, 6, 12, -15]]\nB =\n[[9, 5, -7, 10, -5, 0, -19, -13, -14],\n [5, 0, -3, -3, -20, 6, -13, 7, 17],\n [-19, 1, -1, -7, 14, 10, 20, -18, -13],\n [5, 3, -6, 16, 17, -6, 14, 17, -4],\n [10, -19, -16, -19, -19, 5, 17, 16, -11],\n [6, -13, -11, 14, 3, 3, 10, -17, 19],\n [-7, 15, 5, -9, 6, -15, 6, -7, 1],\n [-1, -18, -12, -5, -12, 11, 13, 4, 6],\n [6, -19, 1, -19, -20, 19, 18, -11, -9],\n [16, -4, -18, 0, -9, 6, -6, 16, 20]]\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[[-18, -16, 13, 13, 0, -8, 4, -7, -3, -18],\n [-18, 11, -3, 11, 11, 15, 8, 18, 16, 14],\n [6, 19, 3, 15, 14, 19, -15, -14, -7, -4],\n [6, -15, -18, 18, 14, -19, -2, 2, -4, -12],\n [19, -12, 14, -12, -9, -18, 16, 0, 7, 12],\n [13, 1, 16, 9, 10, -5, 14, -20, -12, -20],\n [2, 16, -3, -17, -11, 6, -19, -17, 19, 12],\n [20, -13, -6, -14, 9, 3, -1, -16, -14, 16],\n [-19, -11, -8, 0, -18, -7, -5, -13, 3, -7]]\nB =\n[[-15, 3, 8, 5, 13, -16, 13, 13, -8, -18],\n [-16, 1, 0, 6, 3, 18, -13, -17, 15, -15],\n [10, -16, -15, -19, -20, 8, 2, -3, -18, -5],\n [15, 10, 1, -13, 1, -8, 17, 8, -5, -11],\n [13, 12, -7, 11, 2, -6, 4, 5, -9, -2],\n [19, -2, 11, -11, 6, 2, 20, -3, 14, -8],\n [-19, 15, 1, -1, -14, -9, -6, 8, -13, 2],\n [-8, 12, -16, -2, -14, -17, 16, -12, -2, 4],\n [-20, -17, -3, -14, -2, 2, 7, 8, -15, 6],\n [-17, 2, 9, 3, 11, -10, 9, 5, -5, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2292", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -1, -11, 18, -20, -10, -9, -1, -9, -5],\n [-6, 5, -10, -18, -19, -2, 11, 2, 3, -8],\n [-20, 18, -16, -8, 16, -13, 19, 9, 7, 8],\n [15, -1, -16, -14, 9, 17, -14, -10, -10, -1],\n [12, -6, -17, -11, 17, 19, -18, 3, -19, 2],\n [-2, -13, 5, -3, -12, 19, 15, -12, 12, -10],\n [20, 3, 3, 11, 12, 19, -4, 5, 12, -19],\n [-19, -7, 0, 2, 1, 15, -20, 11, 8, -16],\n [15, 4, 1, -16, -18, 3, 12, 7, 0, -5],\n [-10, -15, -2, 17, -3, -11, -9, 12, -6, -9]]\nB =\n[[-16, -20, 17, 13, -9, 9, -10, -12, -14, -4],\n [5, 6, 12, 18, -16, 16, -12, 2, 9, 15],\n [-20, -13, -20, -11, -14, 17, -18, -14, -13, 13],\n [19, 11, 11, -16, 6, -8, -9, -11, -20, 0],\n [-14, -11, -4, 16, -20, -8, 2, 7, -2, 11],\n [-11, -3, -13, -5, 14, 17, -4, 2, 5, 19],\n [2, 2, -14, -9, 1, -4, -8, 17, -7, -14],\n [-2, 18, -14, 6, -4, 13, -10, -12, 18, -18],\n [2, 19, -17, -5, 0, 4, -16, -20, 11, 16],\n [-1, -10, 12, 15, 11, -2, 18, -3, 15, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39763", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, -12, 3, -6, 1, 13, -11, -19, 18, -14],\n [-20, -12, 5, -6, 1, 2, -18, -10, 1, 19],\n [-7, -5, 13, -16, -13, -19, -10, 20, 20, 20],\n [2, -20, -11, -15, -18, -2, 8, -6, 2, -13],\n [4, 3, 17, -9, -20, -17, 18, 9, 13, 20],\n [12, 9, 19, -8, 9, -2, -1, 17, -17, 2],\n [4, -10, 10, -9, 20, 13, 9, -5, 11, 15],\n [-3, -13, 10, 15, -8, -3, 14, 6, -15, -11],\n [16, -14, -5, -19, 4, 5, 5, -3, 17, -1],\n [7, -18, 15, 19, -20, -11, 10, -1, -13, -14]]\nB =\n[[14, 19, -1, -18, -10, -9, -9, -13, 1, -1],\n [-6, 10, 9, 19, 10, -1, -19, -15, -7, 5],\n [12, 2, 4, 17, 16, 7, 14, -14, -19, -4],\n [6, -19, -9, -5, 11, -3, -5, -16, 3, -10],\n [3, -7, 15, -20, 5, 5, -17, 5, -17, 11],\n [-5, 16, -5, 19, -1, -4, -1, 11, -10, 8],\n [6, 0, 18, 8, 16, 11, 20, 20, -9, 3],\n [5, 0, 10, -14, 12, -4, 19, -3, -20, -1],\n [0, 17, 11, 1, 4, 11, 10, 14, -8, -5],\n [16, 20, -2, 20, -6, 12, -20, -8, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[17, 8, -5, 11, 16, -5, 18, 3, 19, 0],\n [12, 6, 8, 12, 15, 17, 11, 7, 17, 5],\n [-15, -2, -6, -4, 13, -20, -2, -18, -4, 18],\n [-7, -10, -5, 9, 18, 6, -3, 2, 6, -10],\n [-8, 2, 5, 13, 14, 17, -1, 3, 11, 5],\n [-19, -8, -18, 18, 15, -9, 6, -7, -11, 20],\n [17, -9, 19, -10, -19, 10, -11, -15, 1, -2],\n [-11, 6, 7, -11, -4, -6, -9, -1, -5, -1],\n [6, 1, 6, -8, -16, -4, 13, 1, 9, -18]]\nB =\n[[-14, -6, -14, -18, 8, -15, 6, -20, 13],\n [-13, 4, -6, 17, -10, -12, 6, -8, -9],\n [-10, 14, 2, 0, 7, -14, -8, 10, 14],\n [-4, 3, 1, -11, -5, 16, -15, -9, -20],\n [-5, 13, 16, 6, -16, -2, -10, 16, -10],\n [-13, -5, 10, -10, -20, -4, 4, 5, 13],\n [-19, -5, 10, 1, 1, 11, -15, -19, -14],\n [-10, -11, -5, -20, 14, 17, 18, -11, 14],\n [-8, -7, -9, -18, 17, -10, 13, 4, 2],\n [-13, 6, -17, 3, -8, 20, 10, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29596", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 9) of the result:\nA =\n[[16, 1, -9, -18, 11, -16, 11, -9, 7, 6],\n [2, -17, -16, 17, -12, -12, 8, -4, -2, -19],\n [11, -6, 20, -19, -7, 11, 18, 5, -9, 5],\n [15, -9, 12, 5, 2, -8, 16, 19, 7, 13],\n [20, -2, 4, 14, 0, -15, -5, 3, -5, 9],\n [7, -11, -4, -1, 15, 3, -5, -1, 5, 8],\n [1, -1, 11, 8, 2, 13, -9, -2, -4, 18],\n [1, -11, -3, -16, -20, 5, 4, -8, 18, 18],\n [-9, -1, -15, -3, -19, -12, 12, -20, -10, 1]]\nB =\n[[-17, 0, 8, -1, -16, 6, 12, -3, 1, 20],\n [16, -3, 0, -15, 7, -19, -6, -10, -10, 5],\n [6, 2, -13, -1, 13, 5, -20, 3, 20, 8],\n [-10, -13, 9, -6, -3, 4, -10, -12, 11, -9],\n [2, 3, -2, -11, -3, -6, 9, 13, 18, -8],\n [2, 1, 6, -16, -10, 19, -15, -18, 11, -11],\n [19, -1, -3, 13, -3, -19, -8, -8, 5, -9],\n [-9, -9, 2, -3, 3, 6, -15, 19, -18, 10],\n [11, 7, -12, 13, 6, 6, 4, -2, -7, 19],\n [-2, -9, 10, 15, 4, -15, -7, -14, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[13, 18, 15, -10, -9, -4, 20, 2, 10],\n [-3, 5, 2, -13, 2, -10, 10, -2, 1],\n [20, -4, 6, 10, -4, -4, 13, 14, -10],\n [-1, -17, -18, -13, 15, 15, -2, -1, -16],\n [5, 1, 5, -11, 3, 15, 11, 4, -6],\n [18, 13, -5, -11, -15, 16, 20, 0, -19],\n [17, -2, 20, 17, 2, -4, -15, 13, -6],\n [6, 1, 14, -2, -19, -1, 12, -4, 19],\n [20, -19, -9, -3, 2, -2, -16, 0, -1],\n [-5, -15, 5, 11, 14, 2, 16, -3, 0]]\nB =\n[[-8, 7, -7, 20, 9, 16, 14, 20, 20, 19],\n [1, 14, 17, -8, -12, -5, -8, -3, -12, -13],\n [-2, -5, -10, 7, 11, -2, -14, 3, 2, -14],\n [19, 19, 16, -6, 2, -6, -13, -12, 16, 6],\n [1, 1, -1, 0, -7, 0, 1, 12, -7, -8],\n [1, 5, 0, -6, -10, -9, -15, 11, 3, -4],\n [18, 13, 3, 4, 1, 2, 1, -1, -9, -4],\n [6, -20, 19, -20, 16, -7, 5, -18, 1, 18],\n [-5, -13, -10, 4, -4, 4, -1, -6, -14, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11270", "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, 4, -6, -11, -16, -4, -15, -18, 10],\n [-13, 12, 2, -9, -11, 12, -8, -15, 3],\n [6, 7, 14, 3, -11, -1, 1, -2, -3],\n [-5, -11, -15, -8, -13, 3, -1, 4, -16],\n [-17, 5, 14, -6, 14, -10, 12, 19, -17],\n [0, -18, 11, 14, -20, -3, -15, -2, 10],\n [-13, -15, 18, 2, -17, -9, -6, -17, -11],\n [9, 18, -9, 18, -13, -15, -4, 2, -14],\n [12, -14, 11, 8, 9, -8, 17, -3, 9],\n [0, 17, 9, -3, 13, 8, -1, 10, 15]]\nB =\n[[-2, -8, -8, -15, 2, 7, -20, -15, 18],\n [19, 12, 0, -8, -4, 10, -5, 19, -4],\n [-13, 4, 10, 7, 19, 17, -13, -19, -12],\n [-1, -17, 14, 11, -12, 9, -20, 11, 16],\n [-3, 17, 1, -2, -5, 0, 18, -17, -6],\n [-9, -5, 8, 4, -8, -1, 13, -2, -10],\n [8, 7, -2, -3, 8, -1, 7, -13, 19],\n [19, 14, -16, 20, 4, -1, -14, 7, 4],\n [7, 17, -8, 9, 18, -13, -18, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28400", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -11, -15, -2, 17, 5, -3, 6, -1],\n [-15, -4, 9, -5, 4, -5, -15, 16, -14],\n [20, 11, -4, 6, -18, 7, 13, 8, -17],\n [6, -1, -9, 14, -11, -7, 1, 20, 3],\n [5, -10, -1, -13, 8, -12, 17, -15, 7],\n [5, -12, 5, 4, -15, 0, 0, 20, 6],\n [-10, -1, -4, 13, 1, -5, 0, -8, 13],\n [-14, 11, -8, 11, -2, 3, 19, -16, 7],\n [-4, 19, 9, -10, -6, 15, -11, -1, 9],\n [14, 14, 11, -9, -14, -3, 7, -10, 13]]\nB =\n[[14, -9, -9, -6, 19, -2, 19, -11, -13, 1],\n [0, -1, -16, -20, 6, 15, 12, 5, -7, 1],\n [11, -10, 8, 17, 8, -11, -20, 18, -1, 9],\n [13, 10, 18, 9, 18, -7, 14, 4, 8, 19],\n [-20, 14, 0, -4, -7, -11, -11, -20, -9, -6],\n [-6, 12, -15, 9, 7, 10, -4, 12, 0, 2],\n [-18, 7, 7, -4, 16, -7, -5, 4, -18, -16],\n [-15, 10, -17, -18, -17, 18, 14, -11, -16, -7],\n [13, -19, -6, 13, -17, -9, -8, -12, -17, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-449", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, -14, -3, 17, 9, 1, -7, 15, -9],\n [-13, 4, -10, 4, -5, -4, 7, -17, 13],\n [5, -15, 0, -13, -17, -10, 13, -19, -2],\n [18, -18, -12, 10, 18, -9, -9, -12, 18],\n [11, -16, -13, 11, 1, 3, 6, 20, -4],\n [11, 17, 9, 15, 7, -2, -3, -1, -11],\n [-10, 19, 13, 18, 17, -4, 2, -14, -15],\n [3, -13, -17, -4, -19, 1, 15, -5, 0],\n [19, -13, -14, -14, -17, 4, -15, -3, -6],\n [0, -5, 3, -10, -14, -18, 16, 20, 1]]\nB =\n[[5, -17, -5, -4, -2, -6, -14, -19, 19],\n [2, -13, -20, -4, 18, -13, 0, 5, 10],\n [12, 9, 9, 15, 0, 20, 16, 0, 8],\n [-13, 18, -16, -7, 0, 17, -6, 9, -14],\n [6, -13, 14, 20, 18, 10, 9, 6, -20],\n [12, -7, -14, 1, -16, 0, 10, 6, -6],\n [2, -4, 9, 15, -19, -19, 12, -1, -11],\n [-16, -4, 18, -3, -12, -11, 11, 18, -3],\n [3, -19, -5, -6, -1, 19, 19, -14, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5492", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, -8, -10, 16, -13, 6, -1, 13, -17],\n [-6, -8, 1, 5, -12, -16, 9, -17, 10],\n [-7, 4, 7, -6, -18, 10, -8, -12, -19],\n [2, 12, 7, -13, 15, -19, 3, 1, -6],\n [3, -16, 6, 12, 0, -4, 14, 5, 4],\n [0, -10, 3, -7, 3, -12, -19, -15, 4],\n [-4, -18, -16, 11, 8, 15, 15, 4, 7],\n [14, -8, -6, 6, -10, -15, 6, 9, 12],\n [17, -2, 1, 18, -8, -17, -15, 8, 9]]\nB =\n[[4, -6, -9, 0, -3, 4, 17, -16, -9],\n [8, 1, 19, 10, 7, 2, -5, 19, 12],\n [18, -17, -15, -10, -11, 10, -14, -7, -15],\n [16, -3, 12, 9, -1, 7, -20, -4, 5],\n [-3, 17, 3, -3, 18, -6, 15, 5, 11],\n [-1, -15, 6, -13, 18, 1, 16, 17, -14],\n [-12, 13, 13, 7, -12, 9, 17, 20, 10],\n [-13, -13, 16, -7, -12, 13, 4, -12, -18],\n [17, 11, 6, -11, -19, -3, 19, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1207", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[20, -19, 20, 13, 6, 14, -13, -14, -8],\n [-9, -8, -4, -6, -7, -2, 14, -3, -4],\n [-1, 4, 16, 2, 2, -10, -1, -14, 2],\n [2, 6, 0, 0, 11, 7, 16, -19, 8],\n [-12, 14, 17, 18, -17, 1, 2, -15, 15],\n [-1, -16, -9, -20, 18, 20, -18, 0, -19],\n [11, 8, 7, 12, 5, -6, 5, -12, 0],\n [-1, 6, -20, -12, 17, -1, -2, -10, -7],\n [4, -9, -14, -18, 18, -5, -20, -6, -10]]\nB =\n[[-20, -18, 1, -15, 1, 7, -7, 11, 8],\n [-16, 14, -10, -20, -14, -18, 1, 10, -18],\n [-4, -3, -6, 17, 14, -5, 20, 9, 14],\n [-4, -6, 6, -20, 9, 9, -16, -20, -17],\n [-10, -8, -11, 3, -1, -3, 2, 20, 14],\n [6, -6, 3, 9, -20, 20, -18, 18, 3],\n [11, -17, 13, -20, 0, -13, -9, -20, 1],\n [-7, 4, 7, -13, 19, 16, 4, 2, 16],\n [20, -5, -17, 17, 15, 12, 9, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1762", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 8) when matrix A is multiplied by matrix B?\nA =\n[[-17, 3, 12, 12, -9, 0, 12, 12, -12],\n [10, 9, -5, -9, -12, 14, -15, 4, 7],\n [2, 8, 1, 3, -1, 6, 18, 12, -2],\n [5, 17, -18, 2, 6, 6, -11, 3, 16],\n [20, -19, 13, 1, -19, 7, 20, 19, 3],\n [17, 19, 1, -18, 16, -19, 2, -8, -6],\n [12, -8, -1, -14, -8, 18, -17, 6, 11],\n [-19, -6, -16, -18, -5, 5, -15, 14, 17],\n [-1, 1, 0, 11, -20, 2, -3, -4, 16]]\nB =\n[[10, 8, -8, -19, -12, 11, 1, -3, -3, -2],\n [17, 10, 8, 3, 12, -2, -5, 11, 0, 9],\n [-14, 17, -9, 7, -7, -14, -4, 2, -8, -1],\n [-16, -15, -8, -18, 10, -18, -13, -14, -14, -10],\n [3, 0, -1, 8, -11, -5, -11, 17, 12, -16],\n [-9, -13, -15, 2, -18, 17, 8, 13, -17, -14],\n [0, -11, 11, 4, -8, 0, -2, -13, 19, -1],\n [-13, -5, 7, -11, 0, 16, -6, -15, 20, 14],\n [0, -4, 5, -11, 13, -14, 11, -17, -11, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "633", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 14, 12, 4, -10, 13, 15, -4, -9],\n [-5, 12, 5, -11, -8, -3, 0, 2, 2],\n [15, -16, 18, -6, 3, -9, -2, 12, 4],\n [17, -8, 3, 18, -18, -9, 16, -19, -1],\n [19, 13, 1, -6, 12, -19, 14, 13, 6],\n [10, -8, 9, 5, 3, -20, 17, 17, 18],\n [1, -11, 6, -19, -2, -10, -7, 12, 20],\n [-3, 8, 9, -18, 11, -6, 2, 13, 20],\n [-5, 19, -15, -5, 17, -1, 7, 5, 18],\n [-15, -5, 12, -9, -7, 18, -19, -8, -2]]\nB =\n[[13, -12, 10, -6, -17, 11, -4, -16, 18, 12],\n [7, -8, -17, 7, -8, 7, 14, 19, 3, -12],\n [-14, 16, 15, 1, -18, -13, -17, -19, 19, -15],\n [1, -18, -4, -11, 3, 19, 18, 7, 18, 9],\n [7, -17, -3, 18, -18, -20, 12, -5, 9, 19],\n [12, 15, 10, 15, 15, -11, 1, 7, 15, 11],\n [-8, 13, -20, -5, 6, 1, 10, 8, 1, -14],\n [19, -17, -7, -4, -20, -19, -3, -18, 0, -8],\n [6, -18, -16, 16, 17, -19, 9, -15, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41437", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-16, 4, 6, -5, -14, -18, -6, -4, -18],\n [-19, -16, 3, 10, 15, -14, 4, -1, 4],\n [-19, -19, -11, -15, -10, 8, 9, 0, 6],\n [15, 12, 6, 16, -15, 18, -13, -9, -18],\n [-12, -9, 19, -18, 12, -8, -9, 16, -14],\n [-15, 20, -17, 2, -17, -18, 17, 6, -10],\n [8, 8, 16, -13, 11, -7, -1, 3, 8],\n [-20, -11, -2, 18, -3, 17, -14, 3, 1],\n [-5, -15, -14, -3, 14, 3, -5, -2, -2]]\nB =\n[[-20, 1, 10, -7, 9, 10, 11, -4, 7, 13],\n [-4, -15, 8, -12, 10, 9, -12, -11, 17, 12],\n [-18, 8, 18, 20, -7, -6, -11, -5, 12, 7],\n [18, 3, -6, -8, -2, -10, -8, 19, 11, 5],\n [-5, -4, -8, -8, -6, -10, -20, 14, -3, -20],\n [1, -19, 9, -3, -20, -18, -11, -6, -18, -8],\n [3, 18, 9, 11, 14, 14, -6, 13, 18, 13],\n [-3, 14, 2, 11, -2, 8, 19, -9, -17, 1],\n [-6, 0, 14, -2, -13, 15, -6, -17, 4, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31504", "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, -12, 10, -15, 4, -15, -2, -16, -16, -16],\n [-1, -8, -12, -7, -8, 12, 2, 9, -3, -3],\n [15, -7, -9, 18, 6, 8, -14, -6, -2, -12],\n [-1, 1, 15, 11, -18, -3, -5, -18, -9, 3],\n [-10, 2, 12, -17, -7, 17, -12, 13, 19, 12],\n [-2, 16, -18, 16, 17, 6, 19, -15, 11, -3],\n [11, -1, 15, -6, 2, -7, 0, -18, -14, -4],\n [-17, 14, -15, 11, 14, 1, -13, 6, 7, -19],\n [-19, 6, -14, -9, -13, -12, 1, -3, 18, 7],\n [17, 13, -15, 10, -6, -17, -16, 2, -8, 6]]\nB =\n[[10, -2, 9, 18, 9, -16, -10, -11, 20],\n [-20, -6, 0, 1, 11, 5, -8, -16, -7],\n [-17, 20, 19, -13, -12, 10, -18, 6, -12],\n [8, 13, 8, -11, -8, -20, 19, -7, 11],\n [-5, 5, 12, 10, -13, 4, 12, 9, -20],\n [-20, 6, -17, 16, 3, 3, -15, 18, -20],\n [8, 3, -8, 7, -6, 10, 1, -9, -4],\n [5, -8, 20, -4, 5, 7, 17, 11, 0],\n [-12, 16, -5, -16, 17, -12, -15, -6, -3],\n [-16, 20, -11, -5, 6, 19, 2, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31365", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-17, -17, -5, 7, 8, -4, -15, -3, -8, 14],\n [4, 14, -10, -9, 17, 11, -7, 4, 12, 13],\n [18, 15, -15, 20, -17, -14, 14, -2, 10, -1],\n [0, 4, -9, 13, -4, 11, -20, -6, -20, 4],\n [-14, 13, -15, 17, 15, -20, -6, -8, 0, -8],\n [19, -4, -4, -9, 13, 18, 19, -10, -7, -6],\n [2, -17, 12, 4, 20, 1, 11, -20, 3, -14],\n [16, -15, -6, 13, -20, 18, -13, 14, -9, 3],\n [-20, -8, 16, -6, 13, 16, -8, -5, 15, -15],\n [13, -9, 17, 15, 3, -17, 4, 20, -10, -18]]\nB =\n[[-14, -10, -20, 20, 20, 5, -7, -5, -9],\n [8, 11, -11, 8, 17, -2, -12, 4, -2],\n [18, -12, -4, 6, -13, 2, -8, 20, -13],\n [-8, -8, -4, -1, -16, 4, -5, -3, -12],\n [14, -11, 14, 16, -2, -8, 15, 4, -16],\n [-4, 13, 2, -18, -11, 11, 12, -14, -8],\n [17, -10, -6, 2, -2, -13, 3, -19, 17],\n [9, 12, -2, 10, 3, 1, 18, 8, 13],\n [-17, -4, 7, 17, -17, -5, 15, 10, -6],\n [-12, 15, -17, -2, 13, 3, -10, 14, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4614", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 5) of the product of the following matrices:\nA =\n[[7, -10, 17, 13, -6, -13, 20, 16, 20],\n [-20, 3, -11, 19, -4, -7, -20, -10, 20],\n [-18, -4, -10, 3, 15, 12, 11, 4, 6],\n [-4, -4, 19, -17, -3, -10, 20, 19, -9],\n [16, -11, -6, -10, 13, 14, -13, 10, -6],\n [8, -6, 10, -14, 9, 4, -6, -8, -11],\n [-2, -6, -18, -3, 1, 16, 11, 10, -11],\n [20, 0, 13, 8, -11, 7, -11, 11, -7],\n [11, 9, -13, 16, -2, 1, 3, 7, 20],\n [-16, -12, -13, -3, 19, -8, -15, -5, -3]]\nB =\n[[-4, -19, -3, -10, -19, -19, -3, 20, 1, -5],\n [6, -4, -4, -15, 12, -8, -15, 5, -2, 17],\n [-2, 5, 1, -10, 1, 11, -14, 1, -15, -6],\n [17, 20, -3, 14, 13, 8, -16, 3, 11, 9],\n [-16, 13, -3, 15, 0, 1, 18, 0, 14, -16],\n [12, -14, 3, 18, -13, -6, -15, -16, 2, -1],\n [-9, 0, 1, 4, -9, -19, 9, -14, 16, -3],\n [-3, 7, 13, -13, -2, -15, -14, -1, 3, 8],\n [7, -16, -4, 15, 12, -15, 17, -18, -11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321", "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, -17, -14, 5, 12, 20, 14, 7, 20],\n [14, 18, -5, -11, -14, -14, 4, -16, 5],\n [9, -10, -14, 18, 5, 15, 1, -9, 1],\n [-19, 19, -9, -20, -6, 19, -14, 17, 16],\n [1, 12, 12, 8, -2, -16, -7, -12, -16],\n [14, 0, 7, -19, -15, 10, 11, -10, -7],\n [-11, 18, -20, 10, -13, -19, 14, 10, -9],\n [10, 14, 11, -4, -13, -2, 15, -10, -16],\n [7, -19, -10, -3, -16, -2, -16, 19, -2],\n [-9, 15, 7, 14, 17, 2, 13, 2, 12]]\nB =\n[[-8, 13, 8, 9, -3, 14, -16, -17, -16, 18],\n [-6, -12, -13, -11, 1, 3, 3, -12, 1, 13],\n [-9, -4, -17, 9, 15, -20, 12, 6, -7, -17],\n [14, 12, -9, -17, 13, -7, -19, 6, 10, 12],\n [6, 7, 13, 9, 16, 13, -20, -8, -3, 19],\n [-20, -12, -15, -13, -13, 3, 4, 5, 5, 18],\n [19, 13, -13, -19, -3, -5, 7, -13, -3, 18],\n [-2, 11, 11, 0, 8, -16, -1, 1, 6, -20],\n [-8, 12, 18, -15, -8, -7, -13, -18, 16, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36379", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-13, 8, -1, 2, -17, 4, 11, 4, -16],\n [-11, 10, -17, -14, 13, 20, 0, -2, -14],\n [13, 12, 0, 17, -4, -4, -6, -13, 16],\n [-2, 8, 17, 12, 7, 19, 12, -14, 14],\n [-13, -14, 0, 4, -18, 11, -10, 0, 11],\n [-19, 2, -11, -7, -12, -2, -18, 11, 2],\n [-2, -9, 2, -7, 15, -18, -11, 1, -17],\n [-6, 14, -16, 7, 19, 6, -6, 9, -13],\n [-1, -8, -15, -20, -3, -15, 15, 5, 13],\n [15, -4, 4, 7, -6, -17, 6, 12, -1]]\nB =\n[[0, 19, 20, -11, 11, 18, 16, 5, 1, 19],\n [-8, 11, -12, 16, 18, -5, 13, -11, 3, -11],\n [5, 13, 16, -17, 8, 1, 4, -10, -1, 3],\n [10, 4, -16, 10, 2, -4, -19, -19, 6, 1],\n [-4, 12, -16, -8, -4, -1, -1, 7, -9, -1],\n [-14, -16, 8, 4, -10, 20, -10, 11, 17, -3],\n [-6, -4, 3, -2, 16, -16, 18, -17, -20, 9],\n [-4, 15, 9, -3, 15, -20, -16, -3, 8, -4],\n [0, -19, 15, -1, -2, -3, -8, -10, 12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32040", "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, 11, 2, 4, 11, 16, 20, 10, -8],\n [-15, -20, -13, 2, -16, 8, 1, -16, -4, -3],\n [18, -20, 10, 3, -5, -16, 11, 5, 14, 20],\n [3, -6, 2, -10, 9, 9, -15, -16, -7, 9],\n [-17, -15, 18, -3, 18, 4, -4, 12, 17, -9],\n [-4, 4, 16, -4, 6, 10, -7, 15, 1, -16],\n [19, -15, 19, -16, 3, 1, -7, 4, -1, -20],\n [14, 16, 7, 8, 19, -13, -3, 10, 0, -15],\n [-12, 9, -3, 9, -1, -11, -8, 20, -19, -16],\n [12, -20, 16, -9, 20, 7, -3, 15, 9, 17]]\nB =\n[[0, 18, -14, -16, 14, -6, -12, -3, -9, 6],\n [-7, -8, 9, 15, 20, -12, 13, -9, 4, 1],\n [-16, -6, -3, -8, -6, 4, 13, -19, 0, 2],\n [-4, -17, 20, -20, -14, 10, 14, 0, -9, -16],\n [-18, -9, -11, 9, -4, -2, -3, 5, 7, 11],\n [18, -1, 0, -5, -9, -20, 11, -7, -7, -2],\n [-20, 4, -8, -17, -1, -17, 20, -15, 5, 6],\n [1, 8, 18, 19, -19, 15, 2, -2, -5, 3],\n [13, 4, -10, -16, -1, -7, 0, 5, 17, -6],\n [0, -5, -10, -7, 0, -5, -19, -19, 7, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32765", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-13, -12, -4, -2, 5, 10, 13, 8, -11],\n [19, -10, 12, 10, 1, 8, 20, 0, 19],\n [-9, -5, 5, 9, 2, 12, 3, -15, 13],\n [-2, 2, 4, 8, -5, -19, 8, 12, -3],\n [-12, -19, -16, -1, -17, -16, -4, -16, -13],\n [11, 4, 4, 4, 10, 7, -6, 6, 18],\n [-7, -8, 11, 14, -7, 15, 18, -16, -13],\n [-11, -19, 10, 18, 4, 13, -6, -4, 1],\n [12, -15, -3, 9, -18, 10, -9, -11, 15],\n [-15, 10, 15, 12, -11, 17, 5, -5, 3]]\nB =\n[[20, 3, -12, 4, 2, -18, 11, -11, 14],\n [1, -7, 4, -6, 9, 10, -7, -13, -13],\n [10, 16, 16, -18, 12, -9, 11, 11, 0],\n [-11, 20, 5, -8, -12, 12, 10, -9, 2],\n [4, 8, 12, -3, 20, -9, 15, -17, -8],\n [10, 1, 16, 18, 9, 13, 10, -15, 5],\n [-8, 8, 5, 18, 1, -17, 14, -16, 7],\n [0, -12, -11, 19, 12, 19, -16, -12, -4],\n [12, -4, -15, 6, 6, -7, -16, -4, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6429", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[20, -14, 16, -7, -8, 8, 13, 13, 17],\n [18, 4, 14, -1, 10, 4, 8, 13, -11],\n [-2, 18, -10, 19, 19, 15, 2, 17, 4],\n [0, 17, 6, -19, -15, 14, -12, -1, 12],\n [8, 6, -20, -8, -18, -20, -1, 19, 5],\n [-9, -15, -12, 15, -1, -11, -11, 10, -1],\n [4, 10, 20, -12, 20, 3, -17, 16, 3],\n [-7, -13, 6, 9, -7, 19, 19, -3, -8],\n [8, 7, -17, 6, 15, 3, 3, -18, -2],\n [18, -12, 1, 1, -5, -13, -4, 16, 6]]\nB =\n[[14, 14, -7, 20, 1, 1, -10, 11, 6, -1],\n [13, -2, -11, -8, 7, -13, 1, 7, -5, -4],\n [19, 19, -2, 17, -3, 16, 8, -6, 0, -14],\n [15, 1, 16, -15, 19, -7, -4, -20, -19, 17],\n [15, 0, -16, -1, 20, 1, 19, 2, -20, -8],\n [3, 4, 7, -17, 2, -17, 19, 13, -1, -4],\n [9, 7, 3, 10, 11, 17, 8, -14, -6, -15],\n [-4, 12, -20, -18, -8, -10, -9, -3, 19, -5],\n [12, 20, -17, 3, 15, -14, -12, 16, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38546", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-15, 15, 1, 1, 17, -18, 4, -7, -16],\n [-3, 7, 9, 15, -15, 10, -3, 4, 13],\n [-13, 7, -14, 13, 4, -20, -19, 13, 11],\n [-9, 5, 1, 10, 12, 1, -13, -5, 7],\n [-7, -17, 3, -2, 4, -4, 15, -19, 6],\n [-13, 16, -16, -17, -15, 8, -13, -11, 14],\n [-11, -5, -9, 4, -6, -7, -15, 15, -18],\n [6, -4, 4, 14, -16, 9, -3, -1, 6],\n [-4, 13, -13, -9, 14, -18, -7, -6, 18]]\nB =\n[[-18, 3, -19, -16, -17, 15, -19, -10, -4, -9],\n [-2, -8, -2, -1, 0, 10, 10, -16, 19, -19],\n [-10, 3, 10, -19, 5, -4, -10, -8, 5, 9],\n [-1, -13, -1, -10, 7, -10, -12, 15, 6, -15],\n [7, -8, 2, -10, 0, 18, 3, -10, 5, -1],\n [8, -17, -3, -9, 11, 10, -13, 4, -10, 5],\n [20, -2, -4, -11, 13, 8, 7, -3, 11, 15],\n [-16, -3, -5, -18, -15, 12, -5, -19, -19, -16],\n [7, -20, -16, -17, 8, -19, -6, -16, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2581", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 5) when matrix A is multiplied by matrix B?\nA =\n[[-7, 20, 20, -10, -2, -11, -4, -3, 4, -6],\n [17, 12, 10, 16, 15, -15, -13, -10, 5, 8],\n [-19, 3, -3, 12, 0, 1, 12, 11, 12, 19],\n [-7, 5, 6, -11, 16, -14, -4, -17, 12, -5],\n [3, 0, 8, -6, 7, -3, -13, -12, -15, 13],\n [-18, -3, -2, -12, -8, 19, -16, 18, 15, 3],\n [16, -10, -11, -18, -4, -16, 16, 14, 19, -3],\n [6, 5, 10, -8, -5, 1, -5, -13, 11, -3],\n [12, 17, 9, -8, -8, -17, 19, -15, 16, -6],\n [6, 11, -14, 10, 3, -19, -13, -14, -20, 17]]\nB =\n[[-13, -17, 9, -2, 16, -1, -8, 11, -19],\n [-8, -13, 11, -7, 0, 12, 15, 0, -15],\n [-16, 9, 7, 16, 20, -9, 20, -10, -15],\n [-1, 6, 8, -12, 19, -14, 0, -3, -6],\n [-19, 12, -10, -15, -8, -4, 20, 4, -16],\n [-7, 8, 9, -9, 6, 10, 8, 6, -16],\n [-12, 5, 6, -6, -6, 13, -7, -19, -15],\n [-5, -12, -5, 1, -2, -13, 0, -18, -6],\n [-19, 1, -4, -5, -7, 20, -16, 0, -5],\n [10, 11, -5, -12, 16, -12, 0, -13, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 10, -1, -16, -19, -18, 11, 4, 14, 9],\n [-6, 8, -19, -15, 8, 15, 1, -15, 8, -4],\n [11, -3, 4, -3, -10, -16, 6, -15, -10, 19],\n [8, 11, -17, -16, -3, -13, 2, 17, -9, 0],\n [1, 11, 7, -3, -18, 9, -8, -20, 14, 18],\n [5, -4, 11, 1, 18, 4, 11, 3, -13, 9],\n [-8, 2, 16, -8, 9, -15, 9, 13, -4, 3],\n [-12, -2, 10, 4, 12, 17, 16, 14, 11, 1],\n [-18, -10, 3, 13, 9, -6, -10, -1, 3, -11]]\nB =\n[[18, 14, 10, 6, -16, -9, 13, -10, 8],\n [6, -5, -6, -8, 12, -16, 9, 5, -12],\n [-16, 14, 18, 19, -20, 18, -18, -12, 5],\n [-19, 7, -1, 5, -7, -19, 0, -2, -6],\n [11, 15, -7, 14, -12, 13, 16, 10, 4],\n [20, -11, 13, -6, -19, 17, 5, 14, 11],\n [11, 7, 6, -6, 3, 0, -20, 0, 2],\n [1, 10, 8, 18, -20, -20, -3, 20, -10],\n [16, -15, -9, 14, 20, 20, -13, -20, -19],\n [14, 13, -5, -13, -15, 19, -17, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-371", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 15, 13, 17, -9, 0, -6, -4, 3, 7],\n [10, 10, 0, 12, -11, -19, -10, -6, 4, 13],\n [2, 7, -17, -18, -7, 8, 0, -4, -15, -16],\n [-20, -11, -16, 7, 11, -14, -19, 1, 7, 12],\n [18, 10, 13, -11, 7, 3, -7, 15, -19, 13],\n [14, -10, 11, 17, 15, -4, 0, 10, -16, 1],\n [8, -20, 9, 5, 1, -11, -8, 4, -6, -20],\n [-10, 14, -8, -2, -9, -12, -1, -3, 4, -15],\n [-16, 17, -9, -19, -18, 5, 10, -15, 9, 11]]\nB =\n[[-3, 18, -12, 14, -12, -15, 14, -17, 9, 5],\n [-11, -15, 10, 5, -14, -13, 0, 17, 12, -5],\n [-18, -18, 14, 2, -9, 3, 16, -8, -6, -14],\n [3, -8, -2, -18, -16, 16, -11, -1, -5, -14],\n [13, 13, -6, -16, -11, -13, 0, -14, 19, -12],\n [8, -1, -4, 18, 1, -14, 7, -15, -4, -19],\n [16, -13, -14, -5, -19, 1, -14, 5, 13, 18],\n [-9, 20, 14, -19, 8, -1, -2, 16, 5, 16],\n [-8, 2, 4, 2, -18, -7, -6, 14, -7, -4],\n [-15, -1, -11, -7, 6, -17, -2, -19, 19, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1780", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 9) when matrix A is multiplied by matrix B?\nA =\n[[3, -17, -19, 1, 0, -7, -1, 13, -1, 12],\n [-12, 17, -8, -8, 19, -16, 12, -20, 6, 18],\n [-15, -17, 19, -12, 5, -19, 3, -16, -20, 14],\n [-14, -17, 17, 0, -12, 5, -20, -1, -10, 11],\n [-8, 7, -11, -19, -16, -14, 12, -14, -19, -7],\n [0, -3, -7, -8, -2, 0, 9, 14, 11, -3],\n [-14, -9, -11, 17, -18, -12, -14, 5, -3, 18],\n [-3, -3, 0, -6, -15, -3, 2, 11, 14, 14],\n [-19, 3, 5, 5, -17, 1, -5, 9, -19, 16],\n [-3, -2, 9, -12, 10, -3, -16, -11, 17, 1]]\nB =\n[[19, -5, 2, 9, -11, -10, 7, 9, 16, 4],\n [6, -13, -11, 17, 13, 8, -4, 6, 2, 6],\n [17, -11, -5, -15, -20, 4, -4, 12, 11, -7],\n [-17, 11, -4, 4, -7, -15, -10, 7, -12, -13],\n [9, 17, -5, -1, -11, 14, -14, -11, 0, 9],\n [-15, 13, -9, -10, -17, 2, 12, 12, -7, -19],\n [-18, -3, 14, -17, -13, -14, 16, 5, -10, -4],\n [-16, -8, -1, 14, -3, -7, -8, 1, -8, -16],\n [4, -6, -6, -6, 1, 15, 0, -4, -8, 9],\n [-5, -5, 14, -19, -13, 6, 16, -16, 7, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-16, 2, 17, -11, 5, -14, -3, -2, -19],\n [4, 3, -18, -15, 6, 0, -3, 12, -5],\n [0, 16, -19, -19, 18, -18, -5, 7, 7],\n [12, 10, -1, 17, -10, 15, -10, 18, -15],\n [10, 17, 14, -3, -12, 7, -18, 2, -11],\n [-16, -19, 4, 2, -18, -4, 20, 12, 7],\n [-16, 20, 2, -12, -15, -15, -12, -4, -8],\n [-18, -12, -7, -18, 15, -1, -3, -20, -1],\n [8, 3, 11, -2, -16, 4, 3, 19, 7],\n [18, 5, 6, -5, -10, 6, 7, 19, -15]]\nB =\n[[-6, -20, 15, -4, -13, 3, 18, 2, 14, 5],\n [-10, 7, -15, 16, 4, -11, 12, 4, -20, -7],\n [-10, 5, 18, -17, -7, 7, -13, 2, 7, 19],\n [1, -3, -11, 15, -14, -5, 18, -18, 20, -17],\n [19, -6, 14, -15, -19, -4, -8, 3, -7, -13],\n [-11, 7, 12, 6, -19, 15, 2, 11, -10, 3],\n [-6, 4, 1, 2, -20, 1, 5, -1, -11, -8],\n [0, 4, -5, -6, -16, 3, 6, 13, 19, -20],\n [13, 20, 5, -9, -12, 12, 19, 6, -14, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-621", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 9) of the product matrix AB given:\nA =\n[[7, 12, -6, 14, 4, 0, -16, 12, 3],\n [10, -3, 10, -18, 13, 3, 20, 20, 9],\n [-10, 10, 5, 5, 17, 20, 16, 5, -1],\n [0, -8, -3, 19, 5, -19, -4, 5, 17],\n [10, 0, 20, 12, -9, -15, 2, -6, 4],\n [17, 10, -14, 8, 11, 6, -13, -16, -13],\n [11, -15, 7, -2, 11, -4, 3, -10, -9],\n [4, 18, -13, 6, -13, 5, 15, 0, -3],\n [-4, 3, 2, -6, 19, -8, 4, 19, -16]]\nB =\n[[18, -16, -7, -20, 14, -4, 4, -1, 12, -4],\n [11, 6, 10, -4, 2, -12, -16, 17, 12, -18],\n [6, 1, 0, -8, 9, 8, -8, -2, 4, 20],\n [17, -8, 4, 13, 18, 7, -14, 0, 4, -18],\n [18, -6, 15, -4, -1, -20, 0, -8, -20, -20],\n [6, -11, 1, -18, 8, -1, -3, -8, -7, -20],\n [11, -5, 0, 6, 1, -10, -11, -1, 17, 12],\n [8, 18, -15, -8, 13, -9, 0, -15, -13, 6],\n [-3, 12, 1, -15, 18, -4, -14, -19, -6, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 3) of the product of the following matrices:\nA =\n[[19, 10, -11, -18, -20, 19, -3, 20, -15],\n [19, 3, -11, 16, -13, 4, -18, 2, 4],\n [18, -12, -14, 11, 1, -13, -5, 4, 1],\n [6, -7, -6, 15, -8, 3, -17, 0, 6],\n [10, -2, -3, -15, -11, -13, -1, -17, -17],\n [-10, -13, -2, 12, 0, -4, 17, 0, -10],\n [4, -20, 2, -18, -3, -9, -15, -2, -13],\n [-9, 2, -13, -17, 17, -15, 6, 1, 0],\n [-12, -17, 8, -6, 8, 12, -12, -7, 16],\n [2, 8, 6, -15, -18, 18, -14, 5, -10]]\nB =\n[[-2, -2, -7, -16, -1, -12, -10, 12, -8, 20],\n [-17, 15, 7, 3, -20, -2, 1, -5, 1, 17],\n [3, 2, 7, 14, -17, -18, 20, 11, -4, -3],\n [-11, 10, 15, -15, -15, 4, -5, -7, -18, 2],\n [-19, -20, -6, -8, -6, -19, 0, 4, -16, 6],\n [-3, 7, 10, 10, 1, 7, -4, -2, -16, -5],\n [10, -3, -20, 15, -6, -17, 14, 2, 10, 20],\n [-10, 6, 17, -16, 0, -8, -9, -3, 4, -12],\n [0, -7, -6, 15, -11, 17, -17, -5, 18, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-624", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[17, -10, -15, 7, -11, 11, -11, -5, -14, 9],\n [12, -17, -16, -2, -10, 15, 13, -10, 18, -6],\n [-16, -14, -10, 10, 0, -2, -8, 9, 1, 19],\n [-6, -3, 14, -3, -14, 10, -18, 14, -13, 8],\n [17, -6, -19, -15, -8, -6, -5, 2, 18, 18],\n [1, -3, -17, 15, -1, -7, -1, -10, -20, -15],\n [-5, 15, 3, -10, -19, 3, -17, -19, 19, -12],\n [19, -2, 18, -3, -12, 8, -4, 19, -16, 18],\n [6, -6, 4, 0, 19, 6, 2, -3, -7, -8],\n [20, 0, 5, 20, 13, -14, -19, -7, -13, 7]]\nB =\n[[-11, 13, -2, 8, -5, 12, -15, -9, 6, -20],\n [-2, 3, 5, -14, -14, 2, 17, -13, 20, -15],\n [20, -20, -20, 4, -8, 4, 16, -5, -6, 14],\n [18, -10, 1, -2, 16, -17, 4, 19, -15, 6],\n [-19, -10, 17, -11, 0, -3, 15, -15, -5, -2],\n [10, -4, -9, -1, 3, -12, 1, 9, -14, -6],\n [-20, -6, -3, 0, -20, -10, -5, 13, -5, -10],\n [-12, -17, -19, 1, -15, 8, -9, -16, -3, 12],\n [-19, 2, 12, -16, 10, -7, -16, 1, 1, 7],\n [-12, 7, -18, 18, 20, 5, -7, -20, -11, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5850", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[18, -4, 16, -17, 20, -17, -6, 15, -1, 20],\n [13, -9, -13, 15, 9, 16, 4, -7, 12, 12],\n [-3, 7, -15, 13, 10, 3, 3, -5, -16, -15],\n [20, -11, 2, 14, -12, 17, 13, -16, -3, -20],\n [19, 17, -3, 20, 7, 4, -9, -5, -14, 4],\n [-8, -2, 4, 3, 14, 15, 19, -17, 20, -12],\n [-7, 4, -7, -11, 2, -10, -3, 0, 9, 5],\n [2, 15, -5, 9, -12, -10, 3, -13, 4, -12],\n [-19, 12, 16, 19, -14, -13, -13, 1, -19, -17]]\nB =\n[[-2, -16, 20, -6, -14, -9, 18, -9, 4],\n [-14, 19, -12, -17, -7, 9, -14, -12, -14],\n [13, -11, -19, -10, -12, -15, 1, -7, -5],\n [-2, -15, -8, 11, -18, 8, 12, 14, 13],\n [-6, 7, -8, -9, 13, 12, 13, 0, -15],\n [9, 19, -7, 6, -16, -1, -3, -8, -7],\n [11, -18, 12, -12, 11, -13, -1, 3, 20],\n [19, 15, -3, 17, 2, -16, -4, 12, -4],\n [2, -7, -13, 12, -16, -14, -20, -13, -17],\n [3, 3, -8, 15, -3, 7, 15, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 9) of the product matrix AB given:\nA =\n[[-17, 8, -6, -1, 18, 12, -4, 6, 14, 17],\n [-15, 0, 17, 1, -20, 11, -13, 17, 1, -8],\n [-15, 18, 8, 0, -3, -18, 5, -16, -8, 12],\n [-20, -15, 6, -8, -18, -4, -7, -2, -12, -7],\n [19, -20, -4, -14, -8, 10, -2, -6, 8, 2],\n [2, -17, -5, 19, 1, 11, 16, -19, 20, 6],\n [-3, 8, 8, -13, -6, 0, -18, 1, -9, -18],\n [16, -2, 18, -1, 19, 3, -10, -4, -2, 17],\n [3, -14, -20, -19, -11, -1, 14, -14, 0, 10],\n [-4, -9, -13, 11, -6, -10, -18, 17, 10, 3]]\nB =\n[[2, 7, -14, 11, 9, -14, 14, 19, -11, -18],\n [-19, 17, 14, 17, 10, -2, 1, -2, 0, 6],\n [0, -5, 8, 12, -10, -11, 0, -4, -11, 8],\n [-15, -11, -14, -10, 17, 19, 2, 11, 4, -18],\n [7, -12, -17, -16, -8, -12, -6, 0, -1, -17],\n [15, 6, -8, -12, -9, 3, 7, -14, 19, -6],\n [-4, -12, 13, 17, 19, -18, 13, -15, -9, -13],\n [6, -7, 1, 20, -15, 8, -15, 19, -17, 19],\n [3, -2, -2, 11, 17, 19, 0, 16, 2, -4],\n [10, 17, -18, 14, -12, -9, -12, 10, 0, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[18, 15, 14, 1, -15, -6, 7, -10, -11],\n [18, 10, -1, -17, -9, 6, -15, 15, 16],\n [1, 4, 11, -8, -8, 9, 8, 12, 10],\n [10, 9, -7, 2, 15, 12, 7, 19, 11],\n [20, 5, -17, 2, -7, 12, -16, -11, -12],\n [-13, -8, -8, -19, 1, 13, 16, 16, -9],\n [-16, 12, 1, 7, -10, 16, 2, 15, -10],\n [18, 2, -8, 2, -7, 12, -4, -6, -14],\n [17, 9, 7, 1, -18, -20, -18, 15, 11],\n [-7, 14, 1, 1, 7, -16, 0, -16, -16]]\nB =\n[[2, -18, -18, -12, -12, 5, -10, 20, 11],\n [-2, 8, 1, -14, 8, -7, -4, 18, -9],\n [6, -12, -8, -18, -5, 12, -16, 2, 18],\n [14, -6, 16, -5, -16, 19, -5, -17, -12],\n [-8, 2, -17, 3, 8, 10, -10, -19, 10],\n [-8, 10, 3, -10, -9, -7, 3, 14, -14],\n [-3, 6, 5, -6, 14, -2, -15, 17, 7],\n [-17, 15, 20, -6, -16, -12, 3, -11, 13],\n [17, -11, 9, -4, -19, 4, 11, 10, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2152", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-15, 17, 9, 12, 13, -12, -17, 3, -6, 12],\n [-1, -6, 19, -1, -6, -6, -15, 11, -5, -20],\n [-5, 15, -12, -4, 17, 10, 19, -11, 20, -13],\n [6, 9, -3, 0, -13, -4, -5, 18, 8, 5],\n [-7, 12, 18, 1, -17, 4, 11, 10, 9, -1],\n [13, -17, 15, -12, 18, 11, 6, -16, 11, 7],\n [-1, 15, 1, 15, 17, 5, -16, -1, -17, -1],\n [4, 10, 20, -10, -9, -11, -1, 15, 4, 7],\n [12, 10, -12, -4, -9, 14, 10, -2, -20, -9]]\nB =\n[[7, -8, -18, -6, -15, 6, -18, -13, -12],\n [16, 2, -3, -2, -5, 19, -14, -10, 19],\n [-16, -8, 11, -2, -20, -13, -4, -16, -9],\n [20, 19, 6, -16, -3, -15, 20, -14, 18],\n [-3, 13, 2, 6, -18, -12, 15, 13, 5],\n [13, 19, -6, 12, -17, 9, -5, -15, 6],\n [-9, 9, 11, 20, 3, 7, 13, 1, -4],\n [-7, -6, -6, -13, -7, -20, -20, -4, 16],\n [-8, -7, -5, 20, 1, 0, 17, 14, -2],\n [-7, 4, -7, -20, 17, -4, 1, 5, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1092", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[19, 19, -12, 6, 4, 16, -10, -17, -8],\n [11, -1, -4, 2, -17, 1, 18, 11, 1],\n [-10, -19, 4, -5, 9, 16, -9, 11, -19],\n [12, -17, -13, 7, -10, -1, 13, -8, -5],\n [-20, -11, -8, 12, -4, 19, -5, -5, -20],\n [0, 3, -1, -7, -20, 1, -14, 16, 11],\n [-17, -5, -4, 9, 13, 19, -14, -1, 12],\n [15, -9, -6, -6, -1, -4, 8, 3, 20],\n [-6, -9, -2, -8, 12, 9, -14, -3, 4],\n [-9, 13, 0, -14, 9, -5, 18, 1, -5]]\nB =\n[[-16, -12, 7, 10, -1, -3, -4, 9, 15],\n [-7, 4, 19, -17, -19, 9, 5, -10, -15],\n [17, -2, -2, -10, -15, 8, -7, -11, 16],\n [5, 20, 10, 15, -11, 5, -11, -1, 0],\n [-3, -9, -8, -17, 6, -12, 7, -10, -11],\n [6, 7, -11, 7, 19, -18, -6, 12, -4],\n [6, 15, 2, 20, 7, 6, -2, -11, -7],\n [-3, -20, -19, -3, 17, 3, 0, -7, 12],\n [19, -9, -4, 13, 4, 10, -17, 4, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1577", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[13, 13, 12, 16, 17, 1, -9, -18, -17],\n [-13, 11, -16, 2, 18, -7, -2, 2, 16],\n [0, -10, 15, 20, 19, -10, 4, -5, 3],\n [3, -10, 3, -4, 16, 19, 20, -3, 4],\n [-13, 18, -5, 8, -12, -14, -7, 4, 16],\n [-2, -19, -2, -19, 3, -11, -8, 16, -20],\n [-6, -14, 19, -5, -14, -3, 7, -7, -4],\n [2, 2, 3, 0, 1, 5, 15, 8, -14],\n [-4, -10, 16, 4, 20, -13, -17, 16, -12]]\nB =\n[[16, -7, -7, 2, 12, -3, -11, -8, 3, 3],\n [-18, -1, -18, 16, -11, 5, 16, -5, -17, 16],\n [20, 12, 15, 13, -11, 2, -4, -13, 10, 13],\n [-20, -1, 15, -16, 6, -7, 13, 5, 10, -19],\n [7, 1, -13, 1, -10, -20, -15, 1, -19, 5],\n [-14, 12, -5, -8, 11, -18, 0, 10, 3, -14],\n [18, -13, -15, -7, -1, -19, -7, 14, 4, -3],\n [19, -13, -15, 7, -12, 4, -14, 14, -5, -1],\n [-14, -3, -2, -19, 8, 7, -6, 9, -17, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, 5, -12, 7, -14, 12, -17, -13],\n [13, -11, 15, 8, -17, 14, 7, 1, 5],\n [-15, 3, -17, -5, -14, -14, 16, -17, 2],\n [11, 0, -10, -5, 19, 0, -16, -10, 3],\n [14, 5, 8, -6, -14, -4, 16, -13, 20],\n [-20, 11, -18, 12, -5, 7, 3, 15, 13],\n [15, -11, 5, -8, -13, 11, -9, -20, 6],\n [-3, -11, -4, -1, -9, -4, 0, 8, -5],\n [-18, -9, -12, -9, 15, 1, 19, 20, 2],\n [-4, -5, -2, -7, 13, 7, 4, 20, -16]]\nB =\n[[-19, 5, 9, 11, -14, 13, -1, -18, 18],\n [-10, -16, 0, -3, -17, -10, 0, -11, -2],\n [18, 4, 8, -14, 13, -17, -1, 6, -6],\n [7, 3, 16, -11, 20, -16, -11, -19, -3],\n [-3, 1, 7, -17, -1, 17, 6, -20, -8],\n [2, 15, 14, -14, 11, 19, 11, -11, -2],\n [-17, -15, -7, 19, 9, 10, -6, -3, 1],\n [-17, 0, 4, -10, 20, -7, -9, -2, -9],\n [-13, -19, 12, 7, -10, 5, 11, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28263", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[16, -17, -16, -13, 19, 6, 20, -8, -1],\n [1, -1, 11, -2, 7, 19, 15, 9, 16],\n [8, 17, -17, 7, -8, -1, 17, 3, 13],\n [-10, -18, 18, 20, -19, -11, 8, -17, -9],\n [-7, -8, 4, 10, 8, -15, -14, -20, -4],\n [9, 9, -4, 11, -19, 2, 17, 2, -11],\n [7, -18, 9, 15, -7, -11, 16, -4, -3],\n [2, -18, 19, -6, -15, -20, -5, 20, 3],\n [15, -3, -17, -16, 16, -15, -19, -12, 3]]\nB =\n[[11, 0, -17, 11, -5, 12, 18, -19, -8, -19],\n [-10, -2, -2, -11, -13, 16, -8, 16, 13, 13],\n [20, -11, 20, -7, -20, -6, -20, 19, -19, 12],\n [-15, 9, 5, 0, 3, -11, -18, -2, 5, 10],\n [-13, 1, -20, 20, -14, -20, -20, -9, 7, 12],\n [-20, 9, 17, -4, -2, -10, 13, 11, 10, -6],\n [-16, 6, 18, -3, 15, 20, -18, 1, -1, 5],\n [3, 5, -7, -16, 8, 5, 11, 15, 2, 17],\n [19, -2, -18, -5, -10, 12, -13, -13, -14, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34829", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -5, 7, 5, 18, -17, 0, 8, 11],\n [5, -3, -18, 16, -19, 9, 5, 14, -14],\n [20, 2, -1, 5, 12, -18, 0, -15, 10],\n [-13, 12, -20, -1, -2, -20, 11, 13, -1],\n [17, 19, 7, -13, 13, -2, -12, -8, -19],\n [13, -20, 10, -19, 1, -13, 16, 15, -18],\n [14, -10, 15, 3, -11, -14, 0, -17, 2],\n [-5, -10, -3, -5, -6, -20, -7, 3, 18],\n [8, -7, -17, -13, -7, -2, -4, 12, 12]]\nB =\n[[10, 7, 5, -17, 8, 1, -2, -1, 11],\n [-11, 9, 17, 13, -11, 6, -1, -5, 10],\n [17, -19, -16, 12, 20, -4, 18, -16, -18],\n [9, -18, 12, 17, 0, -4, 17, -4, 15],\n [20, 19, -15, 16, 13, -6, 19, 14, -13],\n [-18, 2, -16, -15, 3, 1, -10, 12, 20],\n [3, 3, 5, 5, -20, 18, 14, -9, -15],\n [14, 17, 1, -11, 14, 4, -19, -13, -18],\n [10, 11, -16, -20, -1, -19, -13, 17, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1669", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 8) of the product of the following matrices:\nA =\n[[19, -7, 19, 4, -4, 8, 15, -12, -20, 18],\n [-17, 4, 7, -13, -15, 6, 20, -15, -12, 17],\n [19, -16, 6, 19, 20, -20, -2, 15, 3, -20],\n [-18, 3, 4, 18, -7, 12, 3, 5, -10, -18],\n [-1, -12, 20, -1, -13, -1, -4, 15, -10, 12],\n [-8, -15, -19, 20, 19, 1, 4, 15, 14, 4],\n [-9, 0, -15, 9, 1, -4, 0, -10, -6, -7],\n [4, -7, -13, -20, -18, -3, 2, -19, 11, -15],\n [-1, -15, -16, -4, -9, 11, 8, -16, -13, 14],\n [-6, -7, 3, 17, 5, 6, -20, -11, -4, -12]]\nB =\n[[-14, 7, 12, 3, 11, 6, 0, 1, 2, 2],\n [-4, -16, -7, -8, -13, 10, -16, 10, -9, -9],\n [3, 6, -1, 15, 4, 14, 7, 2, 9, 5],\n [0, -20, 11, 6, -1, 7, -10, -20, 16, -12],\n [-8, -1, 8, -2, 14, 20, -13, 10, 0, 14],\n [-8, 3, 15, -5, 16, -12, 18, -11, 6, 11],\n [-11, -9, 20, -1, -2, -1, -11, 16, -20, 9],\n [11, -14, -6, 1, -10, -16, -19, 15, 10, -7],\n [20, 15, -12, -8, -17, 1, 19, 7, -4, -11],\n [-1, 15, 9, -3, -12, 18, 12, 2, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-489", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 8) of the product of the following matrices:\nA =\n[[-20, 1, 4, -7, -17, 19, -14, 8, -1, -13],\n [-12, 17, -15, 12, 10, -15, 2, 15, -1, 2],\n [-6, 12, -14, 12, 15, -4, -16, -17, -12, 6],\n [15, -19, -10, 3, 8, -6, 18, -18, -3, 17],\n [0, 13, -18, -13, 14, -18, 19, -8, -5, 9],\n [-12, 1, 8, -8, -17, 5, 9, -19, 19, 17],\n [-15, 17, -4, -16, -9, 13, -18, -10, -3, 1],\n [-17, 2, 8, 7, -14, -5, 20, 19, 4, 5],\n [16, -6, 6, 11, 12, -13, -15, 11, 20, -13]]\nB =\n[[-18, 1, 17, 15, 11, 4, 7, 9, 9, -15],\n [-5, 6, -11, 2, -1, 5, 14, -2, -3, 9],\n [2, -2, 15, 16, -6, 12, 3, 6, 12, -15],\n [13, -12, 7, -8, 14, 13, -4, -5, 11, -2],\n [17, 4, -19, -20, 19, -17, -17, -6, 3, 14],\n [1, -16, -9, 9, -20, 0, 15, 5, 6, -16],\n [-19, -18, -6, -19, -16, 19, 0, 11, -3, 9],\n [-17, 5, 19, 12, 16, -13, -13, 11, 4, -14],\n [-4, 18, 16, -19, 7, -5, 11, 15, 0, 16],\n [8, -14, 8, 4, -2, 3, -17, -6, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 5) of the product of the following matrices:\nA =\n[[2, -3, 18, 20, -14, 18, 1, -11, 9, -15],\n [14, 8, 5, -10, -17, -12, -12, 5, -18, 7],\n [19, 14, -2, 5, 1, 17, 13, 18, 2, -2],\n [6, -14, 11, -12, 12, -18, -12, 6, 11, -8],\n [-20, 1, -19, 5, -8, -13, 0, 10, -6, 16],\n [-12, 4, 3, -9, 15, -5, 17, -10, 16, 12],\n [-15, 7, 8, -6, -14, 14, 1, 11, -2, -20],\n [-17, -14, 20, -14, -18, 13, -9, -17, -10, -3],\n [-19, 0, -3, -9, -4, -2, -5, -2, -19, 2]]\nB =\n[[14, -11, 14, 1, 19, -9, 19, 8, -8, -5],\n [5, -6, -15, 3, 1, 11, 1, -4, -20, 0],\n [-7, 17, -2, -18, 7, -2, -1, -12, 10, -13],\n [11, 4, 1, 1, 15, 17, 20, 16, -15, -8],\n [-12, 0, -5, -4, -16, -15, -1, -1, -6, 2],\n [-13, 4, -15, -6, 6, 19, 10, -14, 12, 15],\n [-3, 9, 6, -11, 3, 14, 9, -18, -12, -5],\n [13, -20, -18, -16, 4, 16, -9, -19, -7, 8],\n [7, -1, -13, -14, -10, -4, -16, -20, -8, 20],\n [1, -5, 10, -18, -12, 9, 15, 13, 14, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "303", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, 11, 3, 5, 18, -5, 12, -19],\n [-5, 8, 6, -8, -19, 12, 16, -1, -10],\n [-18, -15, 15, 4, -1, 0, 15, -12, 7],\n [-3, -11, -20, -17, 5, -10, 2, -17, -19],\n [-20, -12, -12, -1, -8, 4, -11, -4, -16],\n [-8, 6, -8, 12, 16, 15, 1, -9, -2],\n [1, -15, 4, -17, 4, -2, -11, 4, -3],\n [-11, -18, 16, -18, 13, -14, 4, -16, 9],\n [-1, -20, -5, -6, 8, 4, -8, -6, 12],\n [14, -15, 12, 10, 16, -18, -7, -20, 13]]\nB =\n[[19, 9, 19, -15, -11, 12, -7, -9, -14],\n [-16, 2, 17, 6, -8, -16, -17, -11, 8],\n [-8, -1, 5, 18, -9, -3, 8, 7, 14],\n [-16, -19, -13, 12, -5, 2, -5, -14, 2],\n [10, -5, 14, 14, -19, 6, -2, 17, -17],\n [5, -18, -16, -16, 12, 11, -6, 3, 2],\n [12, -15, -7, 10, 5, 19, -17, -2, -20],\n [-10, -12, -13, 3, -13, 0, -16, 3, 3],\n [13, 17, 10, 7, 10, -19, 6, 18, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8506", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -12, 8, 8, 4, 10, 5, 5, -9, 15],\n [16, 2, -6, -12, 7, 3, 2, 10, 9, 15],\n [10, -8, -14, 9, -16, -9, 10, 1, 1, -20],\n [1, -13, -4, 16, 6, -7, 13, 12, -16, 3],\n [-17, 0, 4, 4, -1, 1, 11, 13, -2, -20],\n [-4, 1, 17, 16, -4, -3, 20, 18, -10, -8],\n [-13, 11, -20, -9, -9, 14, -14, -2, 3, -15],\n [14, -20, 19, 19, 4, -14, -5, 12, -20, 2],\n [9, -14, 14, 8, 17, -15, 15, 11, -12, -1],\n [-1, 7, 9, -16, -3, -15, -14, -18, 16, -9]]\nB =\n[[12, 3, -1, 5, 16, -17, 10, 4, 9],\n [-4, 10, 19, -7, 12, -7, 17, -2, 17],\n [-4, 12, -7, 8, -15, 3, 7, 15, -18],\n [17, -17, 17, 11, -12, -9, 19, 13, 12],\n [16, 20, 2, 6, -11, -5, 5, 10, -17],\n [14, 13, -7, 20, -20, -7, -11, 13, -7],\n [-16, -19, -17, -5, 19, -5, -10, -17, 20],\n [-15, -13, 7, -15, 17, 10, 16, 15, -10],\n [-5, 19, 11, -19, -9, 11, -9, 9, 14],\n [-2, -20, -16, -4, 5, 8, -17, -9, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28030", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 4) of the result:\nA =\n[[7, 2, -4, 2, 5, 20, -15, -11, 10],\n [18, -8, 5, -10, -3, -10, 16, -2, -19],\n [4, -19, -18, 6, -15, 2, -4, 13, -12],\n [-3, 2, -5, -8, 12, -15, -7, 4, 20],\n [17, 14, -13, 12, 17, -7, 15, -17, -18],\n [-4, -4, -3, -4, 12, -16, 16, 8, 7],\n [-10, 12, 14, 2, 1, -15, 19, 11, -16],\n [-11, -3, -17, -3, 6, -1, -12, 17, -4],\n [16, 18, -14, -3, -5, 7, -12, -4, -4],\n [-18, 9, 11, -20, -15, 17, 13, -5, 5]]\nB =\n[[14, 18, -14, 3, 15, -4, -15, 15, -4, 20],\n [-17, -2, 5, -10, 11, 4, 11, 13, 3, 17],\n [19, 19, 12, 16, 19, 8, -1, 2, 8, 16],\n [10, 14, 16, 6, 9, -3, -12, -16, -3, -20],\n [-1, -7, 17, 0, -14, -6, -16, 20, -15, 0],\n [-20, 17, -16, -11, -18, 15, -12, 6, -12, 1],\n [17, -5, 11, 6, -13, 2, 1, 13, -6, 16],\n [-15, -18, -4, -15, -5, 6, -8, -5, 15, 16],\n [10, -17, 0, -20, -6, -1, -17, 7, -15, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-18, -5, 2, 7, -18, 11, 15, -7, -19],\n [-4, 14, 15, 20, 4, 16, 19, 16, 10],\n [-3, -4, -14, 20, 18, 1, 0, 12, 20],\n [-3, 10, -13, -14, -15, 3, -14, 19, 16],\n [8, 2, -10, 5, 19, -12, -20, 8, 7],\n [14, -2, -6, 10, -6, 18, 19, 2, 5],\n [9, 4, -7, 8, -4, -8, 7, 20, 1],\n [-7, -2, 16, -20, 9, 17, 15, -17, -4],\n [-20, 7, -4, 0, -16, 8, 6, 2, 19],\n [-20, -14, 8, 10, -11, -5, -6, 11, -11]]\nB =\n[[6, -15, 14, -9, -7, -13, -10, -2, -14, 5],\n [-5, 5, -13, -7, -4, -1, 15, 2, -9, 10],\n [2, 18, -2, 18, -6, -11, -3, -14, -3, -8],\n [-7, 18, 20, -19, -15, 14, -17, -18, 9, -10],\n [2, 17, 15, 3, -15, 8, 1, -12, -10, -1],\n [-12, 15, -2, 7, -10, 12, 3, 16, 13, -9],\n [-5, 9, -10, 11, 20, 6, -5, 8, 18, 12],\n [1, -4, 3, 19, -12, 10, 2, -9, 5, 10],\n [-11, 9, 17, 7, -2, 17, -16, -3, -13, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37054", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 5, -3, 18, 19, 7, -20, -13, 3],\n [18, 9, 8, -10, 6, -7, -20, -5, 5],\n [-19, 16, 17, 18, 15, 4, 11, 6, 16],\n [-11, 18, 16, -5, -20, 18, 7, 14, -20],\n [8, 13, 9, -20, 7, 16, 3, -11, 6],\n [11, -9, -17, 19, 5, -5, -11, 1, -16],\n [3, 8, 14, -7, -16, 7, -12, 7, 18],\n [8, 17, -15, 20, 3, 5, -12, -7, 0],\n [-10, -7, 12, 19, 18, 6, 19, 3, -6]]\nB =\n[[-16, -13, -12, -15, -5, -15, 15, -1, -3, -5],\n [-8, -6, 14, -11, -1, 10, -5, 13, -13, -6],\n [-14, -18, 0, -16, 10, 1, -8, 16, -13, 13],\n [2, -3, -17, -8, 9, -16, 10, 2, 20, -1],\n [3, -14, -14, 18, -3, 6, -1, 12, -4, 3],\n [-2, -5, -20, 2, -18, 16, -18, 1, 12, -5],\n [17, 19, -7, 5, -7, 1, 10, -6, 2, 1],\n [-12, 3, 10, -20, 20, 17, -8, -10, -16, -15],\n [10, -4, 11, 5, 10, 6, 5, -2, -12, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29238", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-16, 0, 2, -2, -11, 14, 2, 17, 6],\n [15, 9, 15, 7, -16, -14, -4, -9, -14],\n [-2, 15, -3, 2, -9, -5, -19, 19, 2],\n [13, -20, -12, -9, 10, -11, 9, 8, -12],\n [-7, 16, 0, 16, -13, -10, -13, 12, 17],\n [18, -12, -17, 17, -6, 0, 18, -10, -2],\n [19, -11, -19, -15, 4, -13, -8, 7, 18],\n [-10, 2, -13, -16, 19, 11, 19, -3, -12],\n [-16, -4, -14, 14, 2, -11, -4, 0, -11],\n [-6, -15, -11, 4, 5, -1, 17, -13, 17]]\nB =\n[[-4, -2, 13, 7, 11, 2, 0, -10, -9, 12],\n [-18, 5, 2, -1, 17, -16, -19, 17, 3, 18],\n [14, 6, 7, -2, 19, -18, -7, 10, 15, -15],\n [16, 1, 4, 8, 4, -19, 14, -2, -16, 12],\n [6, -3, -16, -13, 20, -2, -10, 13, -5, -3],\n [13, -9, -9, 5, 8, -12, 9, 16, -10, -10],\n [11, -1, 15, 18, -6, -19, 10, -16, 4, 14],\n [7, 19, -10, -20, 17, -2, 6, -2, -18, -17],\n [-17, -6, 9, -20, 12, -13, 1, -16, -4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-12, -8, 19, -6, 0, -6, -5, -19, 5, 2],\n [12, 18, -6, 0, -17, 16, -16, 12, 7, -13],\n [1, -12, -5, 12, -16, -9, 17, 1, -18, 16],\n [-18, -14, -9, -10, -20, -16, 2, -2, -13, -8],\n [-8, 3, -10, 11, 7, -18, 7, 18, -2, -6],\n [-15, 4, 9, -16, -19, 2, 0, -16, 10, 5],\n [-7, 13, 5, 20, -11, 16, 16, -4, -1, -15],\n [-5, 19, 10, 15, -19, 12, -10, 13, 19, -7],\n [-8, 3, -8, -13, 13, -7, -3, 9, 6, 19],\n [9, -16, 0, -6, -5, -20, -4, 9, -13, -11]]\nB =\n[[-2, -2, -1, -10, 11, 11, -9, -8, 1, 8],\n [15, -16, 4, -17, 15, 4, -8, -18, -12, 3],\n [15, 19, 14, -17, -13, -11, 18, 15, -11, 7],\n [17, -20, 3, -8, -1, -14, 7, -8, -10, -14],\n [-6, 12, 11, 4, -11, 18, 0, 1, -9, 7],\n [-20, 17, 1, -18, -16, -18, 17, 7, -8, -3],\n [-5, -4, -18, -6, -4, 12, -17, 7, 20, -13],\n [18, 10, 12, -19, -17, -15, 12, 5, 5, -20],\n [-9, 16, 19, 10, 8, -4, -11, -17, -19, 7],\n [18, -15, 12, -3, -15, 11, 19, 0, -20, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1101", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -17, -15, 11, -3, 3, 13, 19, -12],\n [15, 16, -16, -1, 10, 8, 14, -10, 10],\n [15, -20, -3, -19, -20, 4, -18, 3, -2],\n [-10, -1, 12, -11, -12, -1, 4, -16, 1],\n [-10, 4, -19, 16, -2, 0, -12, 8, 4],\n [19, 14, -13, 3, 10, -11, 6, -2, -19],\n [17, 10, -6, 5, -11, 15, 6, -10, -10],\n [-8, -12, -5, -4, 20, 16, -20, -19, -2],\n [9, -13, -17, -4, -13, -4, -3, 11, 19]]\nB =\n[[-7, 3, 5, -19, 19, -17, 4, 14, 6, -13],\n [5, 18, 3, 4, -1, -16, -15, 14, 8, 19],\n [-3, 6, -11, -4, 20, 13, -18, -3, -5, -19],\n [15, 0, 10, -4, -2, -4, 11, -11, -18, 17],\n [-3, 7, -14, -15, -11, -19, -1, 14, -2, -10],\n [15, -15, 2, -10, 14, 8, 8, -5, 12, -4],\n [14, 16, -2, -1, -16, -18, -14, 4, 9, -5],\n [-12, 0, -9, -7, 18, -19, 7, 3, -2, -7],\n [-2, 17, 2, -5, -14, -4, 9, -13, 17, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3078", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 18, 8, -20, 8, -11, -13, 10, -5, -15],\n [13, 17, -7, 10, -7, -5, 20, -1, 1, 9],\n [-2, -5, -8, -15, 11, 19, 1, 0, 6, -7],\n [16, 9, -9, 5, -13, -12, -2, 5, 1, 5],\n [-3, 15, -17, -5, 16, 6, 11, 8, -18, -17],\n [-20, -11, 5, 4, 19, 18, 0, -6, 9, 6],\n [8, -18, -5, 0, -8, 4, -18, 1, -7, 6],\n [2, -16, -19, -2, 6, -11, 5, 13, -19, -1],\n [17, 19, 16, 13, -11, -16, -9, -4, 14, 13],\n [12, 1, 10, 1, -17, 15, 18, 19, -16, -7]]\nB =\n[[-4, -10, 12, 8, -18, -15, -1, -10, 11, 10],\n [13, -13, -15, -5, -18, 19, 8, 10, 19, 20],\n [-15, 7, 3, -7, 10, 5, -13, 3, -20, -11],\n [11, -13, -2, -9, -6, 20, 16, -10, 13, -4],\n [7, -7, 3, 0, 17, 2, -14, 6, 4, 11],\n [-16, -13, 0, 11, 7, -18, 15, 8, 4, 11],\n [0, 4, -17, -1, -4, -19, -4, 14, -8, -8],\n [13, -17, 14, -6, 6, -16, -11, 0, 3, 0],\n [13, 10, 20, -5, 6, 1, -17, 8, -11, 8],\n [19, 8, 7, -20, -19, -17, -12, -17, 19, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 11, 14, -1, 8, -4, 8, -1, 9],\n [11, 1, 8, 2, -15, -6, 11, -5, -13],\n [2, -6, 12, -10, 4, 19, -6, -12, 12],\n [-8, 4, 5, 6, -10, 13, 13, 16, 16],\n [-12, 5, -18, -2, 14, -20, -11, 3, 16],\n [15, -10, 14, 12, 20, 8, 20, 13, 19],\n [-10, -20, 20, -18, 17, 20, -6, 5, -19],\n [-11, -13, -16, -10, -9, -9, 9, -15, -20],\n [-15, -1, -11, 12, 9, -17, -5, 7, 10]]\nB =\n[[-11, -20, 19, 20, 17, 0, 7, -12, 0],\n [-4, -14, -2, -18, -3, 1, -11, -2, 2],\n [-17, -10, -2, -1, -1, 2, 5, -13, -17],\n [-7, -20, -6, -2, 6, -4, 6, -5, 3],\n [-8, 4, 13, -15, 13, -7, -9, 16, -9],\n [1, 1, -14, 10, 11, -2, 6, 8, 15],\n [-4, -8, 9, -11, -20, 18, 13, 1, -15],\n [9, -18, 0, 6, 8, -10, -8, 17, -1],\n [-19, 7, -3, 10, -1, -7, -13, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1262", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -15, -2, 5, -18, -19, -14, -8, -7, -11],\n [8, 7, -1, -15, 0, -11, -14, -18, -9, -2],\n [6, -4, -1, -10, 2, 6, 18, 9, 8, 16],\n [-19, -20, -2, 4, -16, 5, 18, 4, 19, 14],\n [-14, -19, 6, -5, 12, -1, -2, 18, 13, -16],\n [2, 8, -17, 1, -6, 9, 7, 3, 9, -8],\n [-8, -9, 3, 10, 6, 5, 0, -7, 17, 15],\n [-11, 14, -7, -4, -19, 5, -4, 12, -20, 16],\n [-19, -7, 10, 7, 20, -3, -5, -10, -13, 14]]\nB =\n[[-2, 11, -13, 14, -9, -3, 11, 5, 17, -15],\n [-8, -14, 15, -14, -9, 14, -19, -18, 16, 0],\n [9, 6, 6, -10, -3, -14, -19, 5, -13, 3],\n [-20, 11, 14, -3, 13, 16, -14, 2, -4, -15],\n [-11, 3, 7, 10, 15, 10, 12, 11, -10, -10],\n [-17, -15, 11, 5, 11, 18, 8, -16, -18, 11],\n [20, -7, 3, 12, 13, 10, 4, -12, 3, 17],\n [-15, 16, 19, -7, 18, -1, 9, -14, 2, 20],\n [0, -19, 6, 9, 0, 17, 2, 14, 0, 17],\n [10, -12, -1, 12, -5, 11, -2, -3, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[12, -12, -1, -1, -5, 16, -5, -10, 13],\n [-7, 1, -1, 18, -8, -16, 8, 1, -15],\n [6, -5, -6, 2, 0, 15, -12, -9, 1],\n [2, 19, 11, 14, 19, -9, -10, 3, 5],\n [3, -9, -10, 18, 10, -15, 17, -7, -6],\n [-3, 13, -14, -18, -18, -10, 1, -10, -8],\n [-7, -15, -7, -4, -7, -20, -5, -13, 20],\n [-2, -16, 17, -2, -10, 19, -12, 18, -10],\n [-10, -10, -16, 10, 3, 12, 6, -18, -10]]\nB =\n[[13, -12, -5, -10, -18, -20, -20, -11, 2],\n [-13, -11, 11, -2, -20, 8, 2, 16, -20],\n [-9, 13, -17, -12, -2, 9, -12, -18, 13],\n [-15, 19, 19, 0, 1, 10, 16, 13, 5],\n [4, 7, -5, -10, 3, -11, 4, -8, -7],\n [-10, -5, -3, 18, 10, 6, -11, 11, 6],\n [-11, -2, 18, 1, -15, 12, -12, 2, 11],\n [8, -10, 16, 5, 16, 19, -14, -6, 2],\n [13, -20, -13, 5, -10, 11, -8, 11, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, 16, 2, -14, 15, 7, -17, -17, 3],\n [1, -3, -12, 20, -13, -19, 8, 0, -3],\n [-4, -8, -1, 2, -7, -6, -18, 0, 5],\n [-11, -5, -18, -5, 2, 6, -4, -4, 12],\n [-12, -17, -15, -1, -13, -19, -10, 13, -17],\n [-3, -3, -3, 15, -2, -16, 11, 19, -16],\n [9, 17, -5, -9, -19, -4, 8, 1, -12],\n [-5, 6, 16, -12, -3, -16, -9, -9, 20],\n [8, -7, -9, -7, -18, -14, -17, -19, 13],\n [20, 2, 12, 16, 1, 6, 7, -13, 18]]\nB =\n[[-17, 0, -2, 18, -19, 10, -1, 10, -18, 2],\n [-13, 20, -11, -11, -10, -12, -5, 11, -2, 7],\n [8, -9, -3, 11, 2, 1, -16, -13, 15, -4],\n [-14, 17, 9, 8, -18, 14, 13, 6, -6, -13],\n [11, -13, 19, -12, 4, -6, -9, -18, 6, 7],\n [1, 2, -9, -19, 7, -5, -16, 7, 15, -18],\n [-9, -10, 8, -8, -12, 10, 2, -19, 1, -2],\n [20, 8, 19, -16, -15, 2, 20, -16, -14, 6],\n [-6, 13, 6, -15, 6, -1, 0, 2, -19, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35428", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 3, -11, 16, 4, -17, -17, -14, -4, -19],\n [-2, -5, 14, 2, 3, -5, -20, 1, -4, -8],\n [-2, -9, -2, 7, -19, 5, -15, 8, 18, -19],\n [-20, -8, 3, -1, 15, 14, 15, 6, 2, -11],\n [-6, -6, -12, -8, -15, -11, -20, -10, -3, 2],\n [13, 9, -19, -17, -3, -6, 15, 19, -3, -17],\n [14, -9, 4, 0, 17, 0, -9, 15, 10, 16],\n [-5, -10, 14, -6, -1, -1, 6, -5, -6, 14],\n [19, 18, 10, -6, 17, 2, 13, -11, -18, -5],\n [-5, 19, -18, 16, -8, -12, 9, 11, -16, -2]]\nB =\n[[-10, -2, -19, -19, -15, -4, -7, 10, -8, -13],\n [4, -11, -5, 10, 17, 18, -14, 10, 19, 9],\n [-14, 7, -14, 5, 7, -8, -14, 16, 4, -20],\n [11, -19, 4, -5, -19, 7, -12, 19, 8, 13],\n [6, -19, 16, 12, 15, -5, 11, 12, -16, 14],\n [19, 12, -17, 7, 7, 6, 0, 14, 19, -6],\n [-11, -1, -9, 2, -5, -6, 17, 20, 18, 11],\n [13, 14, -13, -13, 18, 14, -15, 6, -1, -1],\n [-4, -13, -17, -14, 18, -20, 0, 14, -4, -10],\n [13, 15, -20, 2, -11, -5, -19, -13, 13, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1251", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 2) of the product matrix AB given:\nA =\n[[15, -16, -6, -11, -9, -17, 17, 11, -1],\n [-12, -13, -8, -11, 9, 6, 20, 20, -15],\n [-3, 6, -17, 19, 18, 6, 15, -17, -7],\n [1, 12, -9, -12, 9, -2, 0, -18, -16],\n [-10, -2, -18, -7, 13, -7, 9, -11, -15],\n [-3, -19, 9, -17, -17, -16, -5, 19, -9],\n [-17, -8, 8, 8, 8, 17, -12, -8, -20],\n [-15, -10, -15, -15, -18, -1, 17, 16, -1],\n [-7, -18, -19, -13, -12, -7, 15, -17, 0]]\nB =\n[[-1, 3, 6, 8, -10, -19, -16, 7, 5],\n [3, -5, 9, 9, 15, 0, 10, 20, 14],\n [15, 0, 20, 18, -16, -19, 1, 7, 6],\n [10, -14, -2, 17, 19, -20, 20, -14, 0],\n [8, 17, -8, -10, 20, 17, 19, 14, 3],\n [17, 13, 18, 8, 3, 14, 5, 2, -19],\n [-15, -1, 12, 13, 14, -13, -2, -18, 8],\n [-19, 3, -2, -4, 6, -5, -3, -2, 20],\n [13, 16, 10, -1, -14, -8, 17, -14, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -8, -13, 19, -17, -5, 3, -15, -13],\n [16, -4, 8, -15, 8, 16, -6, -18, -10],\n [16, -7, -1, -4, -18, 12, 14, 9, 19],\n [-9, 13, -14, 8, 3, 10, -19, -10, -13],\n [-13, -16, -12, -14, 5, 18, 0, -1, 15],\n [-15, -5, 14, 13, -20, 4, 18, -18, -18],\n [-16, 0, -16, -3, 17, -1, -5, 11, -8],\n [-11, -18, -8, 9, 15, 14, -16, -1, -8],\n [2, -10, 5, -13, 10, 11, -9, -11, 0]]\nB =\n[[13, -4, 8, -19, -2, 5, 20, -9, 10, 11],\n [9, 18, -4, 15, -14, 14, -4, 4, 17, 0],\n [-18, -19, 18, 15, -17, -13, -8, 5, -7, 20],\n [-14, -6, 19, -16, 7, -7, -8, 3, 5, -16],\n [19, 6, -13, 18, 2, 4, -11, -7, 20, -19],\n [14, 20, -11, 10, 0, 6, 9, -19, -8, 12],\n [14, -16, 10, 16, 1, 19, 16, 2, 20, 11],\n [-15, 7, -5, -17, -12, 8, 14, 6, -11, -3],\n [-10, -15, 6, 8, -3, -10, -19, 14, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30597", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-19, -13, -6, 9, -11, -1, 6, -15, 0],\n [-17, -10, 0, 20, -16, 2, 12, -8, -15],\n [-15, -20, 11, 13, 15, 14, 3, 16, 16],\n [7, -15, 17, 8, -10, -11, 6, -3, -17],\n [-15, 11, 18, 15, 20, 2, 7, 12, 4],\n [2, 4, 3, 2, 13, 7, 17, -4, 10],\n [-4, -3, 9, -12, 2, 18, 3, 15, -7],\n [13, -9, -12, -17, -13, -20, -9, -11, -3],\n [-16, 1, 10, 1, 15, -11, -18, -6, 9]]\nB =\n[[-7, -4, -17, -11, -16, 8, 16, -15, -7, -4],\n [18, 10, 12, 12, -4, 9, 15, -10, -16, 16],\n [-19, -6, -8, 13, -18, 15, 17, 11, -9, -2],\n [-2, -10, -14, -4, -20, 3, 11, -11, -7, 17],\n [-5, -15, 16, 11, 4, -10, 18, -15, 11, -16],\n [20, 18, -6, 5, -12, -16, 3, 10, -12, -20],\n [6, 16, 9, 10, 5, 6, 2, -6, -8, -13],\n [-5, 2, -3, 5, 4, 9, -3, -3, 18, 17],\n [15, 16, 13, 6, -15, -19, 0, -17, -12, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26551", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 11, 8, 16, -7, 7, -15, -18, 9],\n [17, 11, -9, 7, 10, 14, -11, -11, -19],\n [15, 10, 6, 11, 1, -5, 12, -16, 16],\n [-5, -15, -5, 2, -19, 8, 4, -18, -16],\n [3, -8, -9, 6, -8, 4, -13, -10, -1],\n [2, 14, -4, -12, -8, 0, 2, 19, 14],\n [7, -11, 0, -17, 12, -11, 5, 8, -3],\n [-7, 3, 13, 8, 13, -13, 10, 16, 14],\n [5, 18, -13, 13, 11, 3, -12, -3, -7]]\nB =\n[[-2, 13, 0, 20, -10, -7, 20, -10, 14, 15],\n [16, 2, -10, -8, 20, -12, -14, -15, -14, -10],\n [-8, 10, -20, 9, -17, -16, 0, 3, 16, 16],\n [11, 19, 3, 18, -14, -12, 8, 1, -8, -18],\n [12, -16, -12, 5, -10, -9, 5, -9, 17, -9],\n [14, 20, 19, -5, 2, -4, -13, 4, 20, 0],\n [7, 16, 6, -6, 18, -14, 19, -2, 18, -18],\n [-1, 20, -16, 1, 12, -17, -17, 17, -8, -16],\n [9, -4, -2, 2, -10, 0, 2, 5, 9, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[1, 0, -12, 12, 16, 5, -6, -1, 10, 17],\n [7, 6, -20, -10, 20, 0, -17, 17, 20, 7],\n [7, 7, -2, 4, -15, -2, -2, 5, -6, -2],\n [15, -10, 18, -10, 17, 11, -13, -19, 16, -9],\n [-20, 8, -6, 8, 20, 12, 7, -7, 12, -6],\n [2, -2, -15, 6, -9, 6, 4, -1, -20, 9],\n [-11, -13, -11, 8, -8, -12, -1, 7, 4, 0],\n [20, -8, 0, -8, -8, -9, -5, -6, 0, 16],\n [14, 9, 15, -4, 19, -17, 7, -10, 6, -12],\n [12, -10, 15, 3, 20, 11, -2, -19, 19, 0]]\nB =\n[[-10, 6, -1, -6, -16, -5, -17, 17, 10, 8],\n [19, -17, 20, -16, 9, -17, -14, 4, -7, 19],\n [20, 8, 15, 14, -10, 7, -6, -6, -3, -19],\n [9, -12, -7, -15, 6, 16, 16, 16, 12, -6],\n [-11, -17, 8, -19, 11, -15, -10, 4, -20, -3],\n [-18, 5, -8, -10, -16, -16, -15, -9, -16, -20],\n [-12, -17, -11, -8, -6, 18, 15, -2, 7, 20],\n [14, -13, 17, 1, 12, 11, -17, 6, -3, 7],\n [-13, -10, 1, -20, 12, 0, 17, -2, 14, 20],\n [-15, -6, 3, 12, 4, -11, -8, 8, 20, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "462", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-11, 13, 15, 20, 16, -5, -14, -2, 6, 18],\n [-12, -17, -12, -11, -15, 9, 15, 16, -12, 19],\n [-20, 14, -6, 14, 5, -18, 7, -6, -16, -17],\n [5, -20, 2, -20, -14, -10, 2, -19, 0, -9],\n [13, -10, -14, 19, 12, 8, 5, 18, 13, -16],\n [19, 1, 5, 2, -18, -19, 6, 15, 5, -10],\n [16, -1, 14, -6, 16, -18, 13, -12, 18, -13],\n [4, 5, 19, 10, -17, -20, 5, -5, -6, -17],\n [10, 13, 13, -12, 1, -8, 5, 2, 2, 17],\n [5, -1, -15, 5, -11, 4, 6, -12, 19, -1]]\nB =\n[[8, -4, 3, -5, 17, 3, 10, 7, -2, 12],\n [-19, 14, 14, -2, -8, -4, 6, -10, 8, -16],\n [-17, -19, 14, -14, 5, -13, 12, -10, 1, -7],\n [-1, 7, -12, 13, -19, 2, -5, -6, -9, -17],\n [-14, -17, 7, -11, 19, -4, 5, 5, 19, -14],\n [9, -14, 3, -18, -9, 7, 12, -9, 1, -8],\n [16, -15, -19, 14, 12, -17, 8, -17, 16, 12],\n [-18, -5, 7, -11, -4, 0, -2, -2, 8, 5],\n [-20, -11, 2, -6, 19, -20, 17, -1, -1, 2],\n [10, -4, 6, 17, -16, 15, 15, 2, 11, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-430", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, -7, 15, -10, -8, 18, -11, 16, -11],\n [-17, -10, -3, 17, -3, 18, -20, -7, 9],\n [12, -11, 10, -8, -13, 14, 12, 3, -8],\n [2, 7, -12, -16, 16, 19, 19, -3, -17],\n [15, -19, -8, 3, -3, -8, -7, -2, 20],\n [-8, -11, -17, 8, -1, -7, -18, 2, 14],\n [6, -20, -10, -11, 14, 4, 2, -5, -17],\n [17, -7, 15, -17, 18, 10, 14, 7, 4],\n [7, -3, 7, 2, 19, 11, -19, 13, -16]]\nB =\n[[-11, 17, -5, -9, -20, -3, 18, -4, 18],\n [17, 8, -3, -13, 12, -1, -17, -8, 17],\n [7, -11, 3, -20, 9, 19, 10, 8, -13],\n [8, 10, 1, -4, -15, -4, 4, -14, 12],\n [-11, -2, -13, -13, -11, 18, 20, 12, -2],\n [16, 20, -5, -10, 11, -19, -7, 17, -17],\n [3, 13, -19, -18, 12, -5, -12, 19, -11],\n [3, -19, 16, 20, 2, 9, -12, 0, 2],\n [2, -19, -13, -1, -8, 11, 8, 10, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "402", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 2) of the product matrix AB given:\nA =\n[[-12, -16, -8, 3, 2, -4, 3, 15, -5],\n [-7, 16, 8, -7, -7, -20, 6, -15, 4],\n [-17, -5, -1, 14, -11, -14, -10, 12, -11],\n [15, 10, -2, -13, -2, -18, -18, 12, 0],\n [12, -18, 7, 0, 12, 19, 11, -20, 9],\n [-5, -8, 19, 16, -8, -19, 11, -12, -15],\n [-2, -4, -2, 20, -15, 12, -20, 7, 10],\n [6, 5, 1, 12, 13, 11, 13, 18, -10],\n [-15, 15, -3, -11, 13, 13, 1, 2, 11],\n [-10, -18, 20, -10, 1, 2, 4, -3, 9]]\nB =\n[[3, -20, 11, -9, 13, -1, 19, 16, 12],\n [7, -9, 4, -6, 2, 12, 12, -18, 19],\n [0, -19, 16, -9, -3, 14, -11, 1, 9],\n [-6, 11, 20, 18, 8, 12, 7, -19, 20],\n [-7, 2, -10, -15, 19, -13, -8, 18, 19],\n [-3, 7, 1, -17, 13, -8, -19, -19, -3],\n [-14, 4, -9, 4, 17, -18, 7, 18, -10],\n [19, -12, -7, -1, 16, 12, 0, -11, 7],\n [-3, -16, 20, 13, 16, 20, 5, 12, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[15, -8, 20, 10, 2, -20, 13, 19, 18],\n [8, -1, -4, -7, 2, 16, 0, 20, 14],\n [-16, 6, -3, 0, 16, 13, 14, -9, 12],\n [-10, -17, 15, 0, -18, 3, -20, -20, 16],\n [-13, 2, 18, -11, 5, 20, -10, -10, 20],\n [13, 5, -3, 13, -16, -7, 3, -2, -12],\n [-16, 9, -3, -2, -12, 18, 4, 1, 8],\n [20, -3, 10, -7, -1, 16, 20, 13, -13],\n [-5, -12, 16, 7, -13, -18, -1, -11, -14]]\nB =\n[[14, -4, 8, 10, 2, 13, 12, 10, -7],\n [-11, -2, -19, 20, 13, -5, -13, -6, -10],\n [6, 4, 18, -19, -8, 0, -3, 8, -13],\n [-1, 16, 11, -12, 9, -1, 17, 2, -13],\n [-20, -15, -20, -20, -9, -7, -17, 10, 4],\n [5, -9, -3, 15, 17, -19, -9, -20, -2],\n [18, -16, -16, 0, -19, 18, 10, -16, -19],\n [-14, 19, 10, -14, -16, 11, 8, 2, 17],\n [-13, -4, 11, 20, 18, 7, -1, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33194", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[18, 19, -15, 16, 14, -4, -7, 15, -13],\n [-13, 4, 12, 8, -1, -5, -5, -18, 4],\n [16, -19, -18, -15, -5, 11, 9, 11, 11],\n [5, 20, -5, 16, 0, 1, 16, -8, -12],\n [-16, 7, 2, 6, 20, -17, -4, -2, -19],\n [-15, -19, -1, -11, -9, 12, -13, -13, 20],\n [6, -1, 12, 17, 5, -4, -11, -17, 12],\n [2, -3, 1, 4, -3, 19, 10, 20, -20],\n [-5, 14, 11, -4, -10, -8, -16, -10, 2],\n [-4, 14, 19, -5, -1, 13, 2, 19, -14]]\nB =\n[[-2, 13, 15, 19, -3, -13, 3, 17, 10],\n [18, -4, 3, -8, 17, 17, 2, 6, 5],\n [20, 2, -10, -8, -2, 9, -14, 0, 7],\n [18, 4, 2, 11, -8, -9, 17, -6, -5],\n [11, 16, -12, 12, 3, -17, -20, 11, -20],\n [-11, 0, -6, -5, -12, -17, -2, 7, 5],\n [4, 20, 6, 18, -1, 10, -9, 4, 13],\n [5, 14, 19, 18, 7, 16, 5, 6, 13],\n [0, -14, 11, -15, 1, 14, -18, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "785", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[18, -1, -8, 18, -18, -1, 7, -14, -16, 20],\n [-11, -3, 16, -14, 8, 12, -1, 0, -9, 13],\n [-5, 14, 7, 19, 11, 15, 15, 0, -20, 9],\n [-20, -5, 10, 0, 1, -18, 15, -6, 19, 16],\n [-3, -8, 0, 0, 9, 6, -15, 9, 11, -13],\n [19, -20, -1, 20, -7, -16, 0, -7, -1, -16],\n [-12, -2, 9, 12, 8, 13, -11, 0, -2, -1],\n [-19, 15, 0, 17, -4, 2, -20, 9, -1, -11],\n [15, -20, -5, -17, -20, -4, -2, 0, -7, -12]]\nB =\n[[-6, -8, -12, -3, -10, 16, -2, -15, 14],\n [-5, 14, -19, 12, 9, 1, 15, -8, -15],\n [-5, 15, 11, 17, 4, -14, -2, 9, -3],\n [3, -18, -16, 4, -11, -14, 3, 2, 3],\n [10, -3, -7, -3, -12, 15, 1, -6, 2],\n [12, -6, 12, 3, -7, -6, -19, -3, -3],\n [1, -8, -14, -20, -19, 2, 8, 16, 13],\n [7, -2, -10, 1, -17, 19, -6, -19, 8],\n [0, -18, -17, -16, 16, -8, -1, -9, 11],\n [11, -19, -5, -18, 4, -1, -18, -10, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 7, -17, 9, -19, -13, -7, -17, 12],\n [-5, 18, 2, -13, -2, -2, 5, -3, 8],\n [-7, 15, -10, -12, 10, 18, 18, -20, 13],\n [9, 0, -10, -18, 19, 11, -17, 1, 2],\n [15, -6, -1, 20, 20, 17, -15, -19, 9],\n [-2, 9, 4, 13, 8, -17, -11, -2, 11],\n [7, -7, 16, -10, -9, 20, -16, -6, 1],\n [-16, 20, -6, -16, -9, -3, 18, -18, 8],\n [3, 0, 18, -3, 12, -12, 4, -5, 5]]\nB =\n[[-3, 20, -11, 1, 5, 8, -1, 10, 4],\n [4, 1, -8, -9, -9, 3, 19, -17, 0],\n [-18, -6, -8, 18, 19, -3, -20, -9, -11],\n [-7, 11, -16, 20, -9, -10, 14, -1, 19],\n [-15, -9, 14, -13, -3, 19, 20, -5, -11],\n [-6, -13, -6, -17, 10, -12, 17, -6, 4],\n [-20, 6, 20, 5, -10, 0, 10, 14, 12],\n [0, 7, -14, 7, 8, -19, -10, -18, -11],\n [3, 1, -11, 2, -18, -19, 0, -13, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, -1, 19, -15, 2, -13, 13, 8, -4, 5],\n [-20, -16, -2, -8, 9, 12, 1, -17, 5, 2],\n [-1, 17, -18, 16, -20, 7, -8, -7, 4, -7],\n [14, 12, -12, 20, -15, -18, 19, 17, 20, -18],\n [-6, 7, 15, -20, 10, 16, -7, 10, 0, 10],\n [-20, 5, -6, -18, -7, 7, -14, 10, 15, -13],\n [16, -12, 12, 10, 17, 9, 19, -20, 15, -9],\n [3, 3, 9, 15, 10, 6, -14, 10, 7, -20],\n [4, -12, 16, 20, -6, 15, 16, 3, -3, 20],\n [10, 6, -3, -5, -14, 15, -3, -14, 17, -20]]\nB =\n[[15, 2, -14, -16, 5, -9, -17, 0, 19, -9],\n [-13, 10, 3, 4, 14, -17, -16, -16, -5, 10],\n [-5, 16, -3, -4, -17, 12, -14, 6, 7, -10],\n [20, -5, -3, -2, -7, -9, 8, 8, -19, 17],\n [1, -6, -1, -19, -2, 16, 8, -2, -2, 8],\n [20, -9, 5, 5, -10, -2, -18, 16, 15, 2],\n [1, -3, 12, 7, -12, 14, 14, 0, 20, 4],\n [18, -13, -10, 18, -1, -14, -10, 2, 17, 8],\n [2, -20, -5, 12, -18, 12, -18, 6, -18, -20],\n [-13, 11, -2, -1, -8, -11, -2, 0, -14, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-396", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 8) of the product matrix AB given:\nA =\n[[-16, -1, 4, 10, 9, -1, -5, 5, -19, 6],\n [17, 16, -16, 7, -10, 1, -8, -19, -2, -17],\n [-19, 7, -17, 20, 19, -9, 5, -14, 0, 10],\n [9, -9, 15, -4, -6, -17, -5, -13, -5, 15],\n [-20, -7, 17, -8, 0, 0, 16, 2, -5, -9],\n [8, -17, 14, 19, 20, 16, -7, -1, 11, 3],\n [3, 2, 18, -16, 10, -6, -4, -6, 4, -4],\n [12, -8, -2, -20, -3, 12, -7, -6, -12, -20],\n [10, 9, -20, -11, -13, 19, -16, 16, 5, -3],\n [10, -12, -12, 20, 19, 18, -18, -10, -11, -19]]\nB =\n[[-12, -8, -1, 4, 1, 0, -17, 14, -14],\n [-20, 11, -15, -12, -7, 14, -1, -11, -10],\n [-7, 9, 4, 19, -9, -1, 9, 9, 5],\n [-9, -4, 17, -13, -7, 0, -14, -3, -4],\n [-9, 15, 3, 0, 6, -4, -20, -10, -6],\n [-9, 18, -15, -20, -12, 0, -20, 2, -2],\n [13, -9, -11, -3, 1, -13, 17, -11, -7],\n [-2, -13, -18, -19, -2, -16, -11, 8, 12],\n [-6, -15, -9, -12, -15, 0, 9, -3, 13],\n [-5, -10, 1, -19, -20, 16, 18, 10, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, -19, 1, 1, 9, 4, 14, 18, 3, 14],\n [0, 14, 12, 12, -12, 16, 5, -19, -1, -16],\n [4, -3, 15, -5, -18, -2, 18, 9, -12, -19],\n [2, 14, -14, -15, -20, 8, -16, -8, -6, -20],\n [2, -8, 20, -10, -9, 10, -1, -12, 0, -8],\n [-16, 16, 8, 9, 16, -10, 11, 9, 5, 18],\n [-16, 14, 18, -16, -17, 20, -16, -9, -15, 9],\n [17, -13, -12, -15, -4, 7, 13, 8, -2, 6],\n [-3, -16, -15, -1, 5, 5, -14, 19, -17, -12],\n [-1, -7, -3, -7, -19, -19, -13, 7, -19, -20]]\nB =\n[[7, 0, 1, -11, -5, -2, 1, -16, 1],\n [-8, -2, -1, -18, -3, -7, 16, -6, 0],\n [16, -4, 18, 4, -10, -6, -18, 9, -8],\n [-14, -7, 16, -3, -1, -5, -12, 10, 4],\n [-8, -3, -19, -3, 10, -1, 8, 10, -8],\n [-2, -11, 3, -1, 1, 6, 20, 9, 15],\n [3, 14, -18, 3, 4, -18, -1, 4, 16],\n [-4, 6, 4, 11, -17, -20, 4, -3, 20],\n [20, 19, -8, -19, -16, 5, 9, 4, 3],\n [9, -19, 18, 10, -15, 8, -17, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3085", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, -8, 12, -20, 2, -20, 12, 0, 3, 6],\n [11, -1, -2, -1, -12, 8, -3, -6, 13, 10],\n [-5, -7, 16, 16, 17, 4, 2, -19, -5, -10],\n [-6, 7, -10, -4, 19, 5, 11, 2, -1, -3],\n [7, 18, -14, 7, -2, -2, 6, -5, 4, 14],\n [-8, 9, -17, 13, 12, 20, -4, 20, -13, -18],\n [17, 13, 3, -5, 16, -13, 14, -20, -11, -2],\n [-13, 4, -14, -16, -9, 11, -3, -13, -1, -5],\n [-19, 0, -19, 3, 3, -11, -11, 3, 18, -10],\n [-7, 8, -14, -9, -4, 18, -8, 6, 2, 6]]\nB =\n[[-12, -17, -13, 17, -2, 1, -2, -19, -15, -12],\n [-6, 16, 17, 0, -1, -10, 20, 15, -13, 8],\n [7, -12, 13, -12, 7, 17, 18, -17, -2, 17],\n [12, 4, 7, -3, -17, 15, -13, -7, -20, -19],\n [-11, -8, -14, 18, 0, 12, -6, 1, 7, -1],\n [13, -12, 4, -2, -11, -14, -9, 13, -20, -18],\n [13, 12, 13, -7, -2, 15, -10, 6, -16, 20],\n [-6, -12, -15, -2, 10, 13, 17, 7, 14, -13],\n [8, -20, -2, -16, 18, -18, -13, 20, -3, -14],\n [0, 17, 16, 5, 13, 2, 0, 12, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "873", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 6) of the product matrix AB given:\nA =\n[[3, 16, -18, -19, 9, 13, -18, -18, -2, -8],\n [-13, 4, 1, -1, 6, -18, -2, -8, -20, -20],\n [6, 1, 4, 1, -11, -1, -10, -8, 13, 6],\n [-14, 5, -4, 0, 16, -5, 4, 4, 9, 17],\n [-5, -5, 7, 6, -18, -17, 11, -6, -16, -2],\n [-1, -2, -9, 2, -16, 10, -10, 15, 1, 20],\n [-7, -6, -15, -7, 11, 14, -15, -15, 17, 16],\n [-15, -4, -20, -6, 18, 14, -2, 14, 5, 16],\n [-20, 5, 19, 13, 17, 20, -8, -14, -20, 12]]\nB =\n[[13, -6, -19, -14, 5, 18, 4, -11, -11, -11],\n [17, 7, 9, 14, 6, -13, -12, -11, 0, 4],\n [10, -19, -2, 9, -4, 8, -17, -12, -2, -19],\n [-3, -19, 6, 14, -6, -7, -20, -16, 14, 4],\n [11, -9, 17, 8, -1, 20, -18, 4, -10, 9],\n [11, 8, -13, -11, -5, 7, -10, -9, 20, 17],\n [-4, 19, 6, -15, 15, 8, -13, 18, -13, -3],\n [-5, 2, 19, -7, -2, -14, 18, 14, -8, 16],\n [5, -15, -17, -10, 3, 9, -12, -15, -8, 15],\n [-13, -12, 11, 10, 14, -2, 0, 18, -19, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -4, 7, -11, -8, 11, 12, 2, 5, 15],\n [16, 17, -7, -8, 7, 17, 4, -2, -8, 19],\n [14, -18, -17, -9, 2, -17, -16, 13, -5, 1],\n [4, 3, -14, -10, 15, 11, -17, -1, 4, 0],\n [17, 1, 8, 14, 6, -20, 20, 7, 0, -11],\n [17, 8, -1, 17, -14, 12, -8, -4, -12, -5],\n [-14, 19, 20, -16, -9, -7, 6, -11, -15, -1],\n [3, 6, -16, -12, -14, -13, -11, 4, 18, 12],\n [-12, 20, 10, 16, 7, -11, -13, 13, -14, 13]]\nB =\n[[9, 5, 11, 10, 3, 1, -4, 10, -1],\n [-16, 19, 14, -4, -13, 18, 12, 17, 10],\n [-4, -7, 4, -1, -11, -4, 7, 6, -6],\n [-3, -5, 11, 12, -14, 12, -19, 6, 9],\n [3, 0, 15, -7, -18, 12, -17, 8, -17],\n [-2, 17, 15, 12, 7, 5, 7, 13, -12],\n [0, 13, -11, -14, -20, -17, 4, -3, -13],\n [19, -13, 6, -18, -17, 9, 10, -18, 2],\n [-11, 2, -11, -12, 16, 20, 20, 0, 11],\n [-13, 13, 17, -3, 10, -20, -1, -5, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3490", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -1, 15, -6, -9, -5, -18, 18, -16, -4],\n [0, -16, -4, -9, -6, 4, 15, -19, 3, -3],\n [-2, 10, 14, 16, -7, -2, -20, 3, 16, 3],\n [-4, -4, -5, -20, -16, -18, 7, 2, -19, 8],\n [-9, -12, 17, 11, -11, -5, -3, -7, -4, 7],\n [-1, 0, 20, -12, 13, -14, -15, -16, -7, 8],\n [-17, -9, -11, -17, -20, 17, -12, 0, 4, 19],\n [-8, 1, 3, 15, 18, 6, 15, -10, 8, -11],\n [17, -4, 15, -9, -1, 13, 15, 5, -1, 10]]\nB =\n[[17, -10, -17, -4, -18, 19, 13, 3, -6],\n [17, -19, 9, -3, 18, 18, -12, -12, 3],\n [16, -1, 16, 2, 6, -10, 8, 8, -10],\n [-10, 11, 19, 4, -2, 4, -2, -2, 4],\n [-14, -5, 6, 12, -8, -6, -3, -16, -14],\n [13, -7, 11, -1, 1, 11, 19, 19, 0],\n [14, -9, 15, -8, -5, 5, 8, -9, 11],\n [-9, -6, 13, -6, 10, 14, 2, 7, 6],\n [-17, -19, -7, -11, -1, 2, -18, -1, 19],\n [2, -18, -19, 12, 0, 17, 4, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22764", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 6) of the result:\nA =\n[[2, 12, 2, -5, -8, -20, -6, 13, 12],\n [5, 0, -5, -3, -10, -8, -9, 11, 10],\n [-6, 12, -6, 19, -15, -4, 7, -2, 16],\n [3, -10, -3, 9, -19, -5, -13, -4, -9],\n [-6, -13, -4, 2, -6, -1, 16, -11, -14],\n [-17, -8, 3, 11, -19, 0, 14, -13, 3],\n [17, 17, -12, -5, -5, -17, -3, 8, 4],\n [-13, 10, 7, -17, -17, 15, -8, 20, 8],\n [17, 12, -19, -18, 19, -2, -8, -7, 13],\n [-16, -6, -7, -17, 14, -13, -12, 16, 5]]\nB =\n[[-14, 14, 0, -8, 14, 12, -3, -5, -6, -13],\n [7, 12, -4, 7, -5, -2, -4, -11, -2, -20],\n [15, -7, -16, -9, 2, 15, -13, 2, 20, -6],\n [8, 0, 4, 16, -13, 17, 3, 10, 1, 7],\n [6, 14, 17, -18, -11, 19, 0, 7, -15, 8],\n [-16, 5, 17, 6, -4, 15, 6, 16, 20, 6],\n [-3, -13, 1, 13, 2, 14, -7, -5, 4, 1],\n [12, -4, -6, 14, 8, 5, 2, -3, 11, -16],\n [-1, -5, -17, 16, 3, -7, -13, -17, 14, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[14, 0, -13, -8, 1, 3, 15, -2, 12],\n [18, -11, -9, 18, -3, -3, 4, 4, 6],\n [-15, 0, 11, 9, -1, -18, -16, 11, -6],\n [2, 19, 4, -3, -6, 3, 3, 3, 20],\n [13, 12, 5, -9, 7, 6, -3, -14, -12],\n [3, 10, -10, 18, -13, -16, 11, -5, -20],\n [6, -5, 3, -5, -16, -10, -12, -3, -20],\n [-17, 9, 17, -7, 1, -19, 20, -17, -15],\n [11, 5, -8, -9, -16, 14, 19, 18, -20]]\nB =\n[[7, 1, -8, -14, 7, -6, 5, -9, 17],\n [3, -17, 11, -15, -19, 16, 11, 1, 16],\n [-14, 18, 13, -13, 8, 17, 0, -11, -13],\n [1, -6, 18, -6, 20, 11, 6, 10, -5],\n [5, -14, -9, 18, -14, -8, -5, -18, -6],\n [-18, 15, 0, -2, -9, 5, -19, -1, 8],\n [7, 13, 18, -18, 15, 14, -13, 3, 9],\n [-5, 1, -13, 20, 16, -6, -12, 17, 8],\n [19, -7, 8, 7, -7, -17, 17, 18, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "409", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -4, -8, -7, -1, 2, -17, -4, 6],\n [-20, -4, -2, 15, 5, -3, -7, -16, 16],\n [16, 0, 12, -1, -5, -15, 3, 1, 2],\n [12, 9, 18, -1, 12, 19, -5, -8, 6],\n [-7, -14, -11, -9, 19, -8, -20, -7, -10],\n [6, -11, -20, -6, -12, 2, -8, -13, -11],\n [-7, 16, -15, -17, -9, -12, -8, 13, 2],\n [6, 2, -8, 2, 11, -18, 12, 19, -20],\n [13, -6, 17, 2, 13, 3, 14, -19, -7]]\nB =\n[[13, -20, -10, 12, 20, -7, -13, -7, -9],\n [-2, 13, 12, 18, -18, -3, 3, -12, 0],\n [14, 7, 11, 12, -1, 10, 20, -2, -9],\n [-4, -4, -17, 4, 8, -2, -17, 9, -1],\n [8, -1, -10, -1, 10, 0, 18, -10, -14],\n [4, 16, 0, -13, -11, 14, 7, -19, 17],\n [9, 0, -5, 20, 19, 6, 14, -14, 7],\n [-10, 9, -8, 8, 1, -7, 20, 13, -6],\n [15, -18, -20, 2, -9, -5, -11, -10, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25103", "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, 5, -11, 17, -11, -5, -4, 5, 1],\n [-13, -10, -18, -8, 17, 18, -13, -11, 19],\n [8, 9, -1, -19, 14, 18, -20, 16, -11],\n [6, -7, -11, 13, -9, 2, -17, -7, 6],\n [19, -3, -7, 15, -20, -7, 13, 5, -15],\n [16, 2, -5, 11, -14, -4, -16, -9, 5],\n [-13, -12, 11, 1, -13, 7, -12, 14, 0],\n [12, -15, -11, -7, 19, -19, 12, 18, -5],\n [-1, -18, 14, 12, 8, -6, -18, 8, -16]]\nB =\n[[13, 13, -1, -14, -17, -10, 13, -2, 0, -6],\n [-4, 16, 1, -13, -10, -12, -15, -12, -6, -6],\n [-19, 11, 16, -15, 4, -9, 12, -3, 17, -14],\n [20, -2, 3, 9, -6, 1, -20, 11, 9, 10],\n [-11, -4, -1, 1, -1, -20, -17, 8, 7, -20],\n [-10, 6, 19, 5, -3, -4, 12, 18, 8, 16],\n [20, -5, 3, -16, 10, 14, -10, -19, 0, -14],\n [-7, -4, 13, 14, -16, -5, -4, -12, -7, 10],\n [20, 13, -1, -20, 17, -4, -5, 13, -14, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31681", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -6, 19, 1, 9, 15, 12, -12, -19, -20],\n [-15, 1, -3, 13, 14, 15, 5, -16, 9, -8],\n [12, 2, 0, -3, -15, -17, 15, 16, -20, 5],\n [19, 19, -7, 0, -12, 15, -17, 0, -4, -5],\n [20, 7, -19, 17, -3, 16, 16, 6, -20, -20],\n [-20, -9, 16, -9, -8, -4, -5, 19, -15, -5],\n [-3, 1, 3, 0, 14, 20, -12, -14, -9, 10],\n [-20, 4, 18, 16, -1, 12, 0, 3, -12, -13],\n [13, 17, -5, 5, -20, 0, 16, -8, 7, 14]]\nB =\n[[-13, 0, 8, -2, -7, -12, 18, 6, -20],\n [-17, 10, -6, -20, -13, -15, 6, 5, -19],\n [-8, 9, -14, 13, 12, 6, 2, 19, -5],\n [2, 4, -14, 18, -19, 4, 15, -7, 20],\n [-3, -17, -7, 10, 1, -14, 1, -17, 1],\n [14, -4, 19, -1, -12, -20, 2, 14, 7],\n [-7, 1, 7, -17, 14, 19, -15, -4, 17],\n [13, 20, 11, 10, -7, -8, 18, -18, 0],\n [-8, -10, 14, -17, -9, 19, -6, -5, 18],\n [-13, 20, -17, -1, -13, 4, -17, 12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2666", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-16, 7, -17, 12, 20, 3, 12, 6, 8, -18],\n [9, 16, -10, 7, -19, 2, 16, -12, 10, -9],\n [-13, -9, -20, -10, -17, -7, 10, -18, 15, -15],\n [13, -1, 18, 10, 13, 2, -3, -7, 19, 0],\n [8, -16, -3, -15, 0, 16, -16, -12, 11, 16],\n [4, 1, -17, 18, 4, -9, 10, -20, 1, 15],\n [12, 2, 13, -1, 11, -15, 1, -9, 2, 14],\n [-7, -9, 9, 1, -5, 1, 8, -14, -6, -19],\n [1, -6, -2, 6, 2, 9, 4, 19, 0, 6]]\nB =\n[[-2, 5, 12, 15, -18, 18, 4, -8, -7],\n [19, -11, 3, 15, 1, 13, -7, -12, -9],\n [1, 12, -3, 10, -9, 17, 13, -6, 19],\n [-20, 10, -11, 13, 16, -8, 17, -11, 1],\n [17, 5, -10, 12, -11, 10, 0, 13, 4],\n [-12, -3, 9, 0, 8, 19, -4, -17, 12],\n [2, -14, 13, 3, -14, -13, -18, 19, 6],\n [-17, -19, -16, -11, 16, -12, -13, -18, 8],\n [-6, 12, -5, -10, -15, -13, -12, -7, 3],\n [-13, 12, 8, -19, -3, 2, 10, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29331", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[17, -5, 2, 4, 16, -2, -2, 17, 15, -19],\n [-14, -1, -17, 5, -10, -4, 16, -6, -9, 19],\n [-4, 20, -5, -5, 14, -18, 7, -12, -10, 6],\n [-11, -9, 14, 14, 10, -4, -3, 16, -15, -4],\n [-18, 17, 12, -1, 20, 18, -5, 15, -14, -19],\n [19, 13, -17, -4, -14, -9, -9, -11, 4, -16],\n [-4, 17, -10, 1, -1, 11, 2, 2, -19, -18],\n [12, -16, 2, 4, 3, 9, 9, -13, 15, 8],\n [0, -5, 2, 8, 16, 5, 3, 19, 5, 6],\n [-10, 6, 1, -20, 17, 6, -20, -6, -10, 17]]\nB =\n[[8, 9, 2, 5, 16, -3, -6, 19, 1, -19],\n [-18, 5, 8, 8, 17, 2, 18, 2, 7, 14],\n [-19, 7, 3, -18, -11, 13, -2, -20, 17, 16],\n [-17, -14, -18, -7, -5, 7, 7, -15, 7, -3],\n [-3, -6, -7, 1, -7, -2, 9, -2, 18, 12],\n [17, 11, -7, 13, 2, 13, -2, 4, 5, 1],\n [-10, 10, 20, -16, 10, -18, -1, -6, 10, -16],\n [-7, 1, -2, -14, -16, 3, -7, -3, -6, 7],\n [12, 15, 0, -4, -19, -20, -8, -5, 16, -6],\n [18, -1, -7, -18, -6, -15, -12, -20, 17, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3750", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 15, 16, 5, 13, 1, 15, -4, -11],\n [5, -11, -10, 10, -3, 7, 14, -2, -8],\n [-1, 15, -15, -8, 12, -1, 2, -11, -7],\n [-17, -7, 20, 10, 7, 10, 9, -15, 19],\n [-14, 11, 5, -9, -7, 20, 9, -12, -7],\n [-1, -17, 4, -18, 16, 7, -11, -11, -1],\n [-5, -16, -13, -8, 1, -13, 8, 11, 3],\n [1, -2, 4, -10, 3, -1, 18, 0, 8],\n [-12, 6, -13, 13, 13, -12, -6, -5, 9]]\nB =\n[[16, 15, -14, -18, 11, 13, 19, 14, 16, -15],\n [15, -11, -8, 18, 20, -16, 16, 17, 8, -11],\n [12, 10, 11, -8, 15, 8, 2, 7, 20, 10],\n [-20, 9, -17, 17, -13, 1, -9, -9, -2, 15],\n [-8, -7, 12, -17, -16, 16, 10, -11, 4, -1],\n [-1, -12, -9, -8, 12, -19, 2, -5, 20, 1],\n [-17, 4, -17, -18, 18, 1, 15, 4, -6, 12],\n [-8, -2, -2, -14, -15, 7, 10, -20, -9, -8],\n [-7, -7, -9, 10, -14, 15, -4, -13, -7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-790", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 16, -5, -15, 3, 8, 17, -12, -19],\n [14, -16, -5, -13, 1, -6, 7, 8, 11],\n [-5, 12, -2, 15, 18, -17, 14, -7, 18],\n [4, -14, -1, 18, -13, 9, -1, 18, -1],\n [7, -15, -12, -1, 2, 2, -12, 18, 13],\n [1, 3, -3, -13, 0, 9, -13, 8, -4],\n [-13, 1, -4, -17, -1, 8, -7, 10, 10],\n [-18, 10, 1, 6, 11, 3, 10, 11, 18],\n [-18, 18, 6, 12, 9, -8, -1, -13, -13]]\nB =\n[[14, -9, 0, -8, 9, 9, -19, -2, 6],\n [-14, 6, -11, 20, -9, -4, -13, -8, 0],\n [-12, 16, -7, 1, -12, -15, 8, -5, 13],\n [8, 0, -19, -13, 15, -18, 20, 16, 7],\n [-7, 2, -19, 19, 0, 8, 12, 4, -16],\n [9, 19, 7, 3, -4, -20, -6, 17, -19],\n [-20, -13, 15, -10, 20, 16, -18, -10, -11],\n [-9, -17, -20, 19, 18, -5, 14, 4, 7],\n [-14, -5, -4, 8, -10, -3, -9, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25747", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-20, 7, -3, -18, -7, 18, 4, 14, 9],\n [19, -1, 10, 18, -10, -19, 18, 7, 18],\n [-18, -1, -11, 7, -15, 15, -18, 0, 2],\n [-1, -15, -12, 20, -10, -17, -15, -15, -4],\n [11, 3, -10, 5, -3, 9, 11, -14, -16],\n [-15, -7, -1, -2, 12, 18, -9, -2, 18],\n [-6, -12, 20, -4, -13, -18, -7, -10, -9],\n [-17, -4, 8, 2, -6, -9, 12, -8, 10],\n [-11, 14, 17, 2, -8, 10, 18, -9, 2]]\nB =\n[[5, 10, 6, -2, -8, 9, -20, -18, -13],\n [5, -12, 9, -7, -4, -14, 19, -19, 0],\n [-13, 17, -15, -3, 18, -19, -19, -18, 8],\n [-14, 9, 14, -4, -4, -4, 12, 14, -14],\n [18, 16, -1, 17, 5, -16, 18, 8, -7],\n [8, 18, 17, -6, -19, -17, -1, 17, -3],\n [-15, 1, -9, -15, -7, -3, 2, -1, -2],\n [-16, 11, 5, 19, 10, -1, -9, 20, -11],\n [-19, -5, 20, -14, -2, 0, 4, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25758", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-20, 20, -6, -6, -16, -4, 14, 8, -15, 8],\n [5, -10, -20, -5, 8, -9, -6, 16, -11, -4],\n [-6, 4, -13, 1, -14, -12, -18, -12, -10, -14],\n [-13, -10, 14, 3, -7, -14, 19, 15, 13, -11],\n [16, -18, 12, 17, -5, 19, -19, -20, -16, 19],\n [-5, -11, -3, -7, -10, 6, -20, 4, 13, 1],\n [15, 6, 0, 10, 8, -15, 6, -5, -13, 10],\n [-11, -14, 19, -5, 14, 1, 0, 5, -11, -13],\n [3, -17, -14, -17, 20, -5, -8, 14, -18, 11],\n [-18, 11, 10, 19, 17, -18, 18, 6, -5, -17]]\nB =\n[[18, 1, 11, -13, 5, -9, -14, 16, 2, -19],\n [-18, -16, -4, -10, -3, 3, -1, -7, 1, 1],\n [5, -4, 4, -5, 18, 9, 0, 9, 14, 0],\n [-13, 8, 10, 20, 19, -2, -1, 3, -1, -3],\n [19, -20, -14, 4, 5, -10, 12, 20, -12, 17],\n [14, -7, -6, 11, 0, 20, -17, -20, -6, 9],\n [14, 5, -19, -15, -18, 3, -15, 13, -18, 16],\n [1, 17, 1, -19, -15, 17, -17, -15, 13, 10],\n [20, 15, -15, 19, -5, -19, -11, -3, 9, 12],\n [-17, 18, -17, 6, 15, 4, -6, -11, -15, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1984", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 6, -6, -7, -18, -11, 3, -1, -19, -7],\n [-11, 20, 0, -16, -1, 1, -13, -13, -5, -9],\n [6, 8, 10, 17, 20, -11, 10, 5, -11, 4],\n [-11, 15, -6, 14, 0, 6, -5, 11, -9, 19],\n [3, -12, 8, -10, 9, -15, 19, 6, -11, -7],\n [2, -19, -16, -3, 20, 19, -20, -17, -15, -20],\n [-15, 11, 17, -7, 8, -16, -20, 10, -15, 15],\n [12, 6, -11, 6, -20, 8, -3, -7, 4, -15],\n [11, -19, 3, 10, 15, -5, -4, 5, -20, 3]]\nB =\n[[7, 12, 17, -10, 15, -6, -15, -11, -11, -13],\n [8, -9, 17, -8, -8, -5, -1, -3, -19, -4],\n [18, -6, -20, 16, -16, -9, -9, -12, -5, 20],\n [1, -7, 10, -15, -18, 20, -5, 5, 17, 11],\n [4, -15, -9, 13, 12, 16, -8, -14, 15, 6],\n [11, -1, 14, -8, -3, -2, -12, -10, -8, -9],\n [5, 8, -4, -14, -2, -15, -10, -13, 19, 19],\n [19, -5, -7, 9, 14, 19, -19, 17, -17, 6],\n [-7, -16, -2, 0, 20, 14, 11, -20, 20, -10],\n [-11, -4, 18, 17, 14, 10, -17, -12, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) when matrix A is multiplied by matrix B?\nA =\n[[5, -9, 15, 6, -5, 5, -16, 12, -4, -12],\n [-5, -7, -10, 20, 15, -18, -1, 10, -17, 10],\n [-3, -19, -7, 17, 4, -7, -15, 4, 19, 9],\n [2, 14, 3, 12, -12, 3, -3, 18, 8, -11],\n [6, -8, -7, 17, 11, 10, 11, 5, 15, 19],\n [19, 0, -8, -5, 9, -5, 5, 10, 1, 11],\n [11, -3, 15, 5, 10, 19, -20, -12, 13, -8],\n [-13, -6, -9, -2, -6, 4, 6, -3, -16, 18],\n [-17, -3, -12, 8, 9, -16, -5, 4, 10, 5],\n [6, 6, 17, 9, 19, -8, 11, 8, 15, 20]]\nB =\n[[11, -10, 19, 8, 13, -1, -6, 2, 13, 7],\n [6, 1, -13, 8, -2, 11, -20, -18, 5, -14],\n [5, 6, -2, -17, 6, 16, -7, -13, -20, -13],\n [17, 8, 13, -14, -16, -1, 1, -17, -20, 11],\n [-2, 20, 2, -3, -15, -6, -9, 8, 3, -8],\n [18, 9, -12, -19, -11, -10, -7, -14, 3, -15],\n [-13, 20, 4, -16, 4, -17, -18, -14, 1, 3],\n [-3, -4, -13, -6, 11, 19, -13, 7, 0, -17],\n [14, -16, -1, -12, -11, 9, -19, -20, -8, 3],\n [-3, 12, -16, 16, -19, 17, 14, -4, 12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 8) of the product matrix AB given:\nA =\n[[10, -14, -5, 9, -13, 3, -6, -8, -6],\n [14, -11, -18, 12, 7, 6, 0, -6, -13],\n [-14, 9, -2, -7, 9, -5, 3, -2, -2],\n [-1, -9, 7, 18, -2, -8, 3, 15, 13],\n [3, 6, -2, 2, 20, 18, 8, 19, 16],\n [-1, 5, -6, -9, -4, -16, 4, 20, -9],\n [18, -18, 14, 2, -6, -3, -19, 4, 19],\n [-16, -6, 5, 2, -18, -3, -13, 12, 10],\n [-19, -2, -19, 19, -17, -5, 18, 19, 15]]\nB =\n[[-9, 16, -6, 6, -16, -12, 2, 2, -14, -3],\n [-2, 9, -2, 0, -12, 10, -16, 9, 6, 0],\n [8, 14, 12, -4, 14, 20, -4, -10, 18, 10],\n [10, -14, 8, 17, -1, -18, -12, 12, 14, 5],\n [-18, 2, 20, 0, 14, 13, 0, 15, -18, -15],\n [15, 17, 13, -15, -18, -18, 15, -2, -5, -11],\n [12, -20, -13, 8, 13, 16, -10, -10, 19, 2],\n [15, 15, 11, -12, 15, 8, 17, -10, 15, -17],\n [13, -19, 0, 5, -11, -10, -20, 5, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-318", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 1) of the product of the following matrices:\nA =\n[[19, -18, 0, -16, 19, -5, 14, -19, -10],\n [-14, -17, 17, 19, -13, 7, 14, -11, -17],\n [14, 8, -8, -4, -2, -11, 6, -10, -6],\n [-17, -2, 3, 20, 8, -17, -16, 7, -16],\n [11, 17, 20, 3, -8, 6, -3, 17, 9],\n [12, 12, -3, 0, -3, 11, 17, 12, -5],\n [-12, 20, 7, 6, -10, 11, 8, -13, -15],\n [-18, 18, -14, -14, -18, -13, 5, 10, 6],\n [17, -20, 12, -4, 11, 20, 20, 16, 0],\n [0, 7, -15, 15, -16, 19, 14, 13, -12]]\nB =\n[[14, -11, 8, -7, -15, 1, -5, -2, 20],\n [-10, 9, -16, 15, -14, -8, -6, -17, 14],\n [-16, -8, 12, -1, -13, -4, -16, 10, -13],\n [-19, -20, 5, -14, -9, -7, 2, 4, 4],\n [-6, 15, 19, 1, -10, 5, 4, 20, 3],\n [-1, -15, 4, -6, -7, 4, -16, 12, -4],\n [12, 0, 10, -10, 5, 12, -8, 9, 20],\n [12, 2, -11, -15, 13, 17, 9, 12, 0],\n [-14, -11, -14, -12, -15, -17, 10, 5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "454", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-20, 17, -8, 9, 0, -17, -13, -5, -12],\n [-7, -12, 11, 15, 7, -5, -9, 11, -4],\n [-11, -16, 8, 4, 16, 6, -13, 1, 12],\n [-13, -14, 10, -20, 16, -18, 7, -11, 13],\n [1, -16, 12, 0, 14, 11, 2, 3, 2],\n [13, 13, -20, 4, 12, 10, -8, 8, 0],\n [-6, 0, 13, -17, -14, 9, 14, -3, 14],\n [10, -20, 18, -10, -16, 14, 6, -19, 9],\n [-10, 1, -2, -2, -15, 20, 8, 11, 16],\n [20, 16, 1, -14, 8, 19, 19, 6, -11]]\nB =\n[[-17, -1, 5, -13, 15, 17, -15, 9, 11, -11],\n [14, 6, 4, 8, -7, 16, -14, 15, -17, -15],\n [-1, 6, 17, -14, 2, 20, -5, -20, 10, -2],\n [10, 15, 6, -7, 15, 8, 3, 9, 13, 13],\n [-14, 20, 11, 14, -19, 18, 10, 17, 5, -5],\n [16, 19, -19, 16, 18, -13, -10, -13, 5, -2],\n [7, -17, -10, 13, -10, -19, -14, -10, 7, -15],\n [16, -2, 15, 11, 14, 6, 3, 2, -9, -11],\n [17, -14, -14, -7, -3, 16, 0, 15, 20, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1553", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, 17, -8, -13, -14, -9, 19, 12, -19],\n [-4, 8, 0, -10, 11, -3, 11, 4, 14],\n [-10, 15, -10, 9, -13, -14, -10, -11, -2],\n [17, -13, -16, -8, -3, 8, -16, -3, 16],\n [18, 8, 9, 4, -1, 4, 12, -12, 10],\n [-17, 13, -15, -8, -5, -10, -8, -15, -7],\n [11, -1, 20, 8, 17, 4, -9, 7, 2],\n [9, 6, 3, 8, -5, -17, 2, 15, -1],\n [-20, 2, 3, -12, -9, 12, -18, -4, -19],\n [11, -18, -16, 2, -12, 0, -7, 18, 0]]\nB =\n[[7, -7, 14, 18, 19, -19, 2, 15, 15, -10],\n [-20, -8, 15, 2, -9, -15, -7, 1, 16, 10],\n [3, -15, -17, 19, 18, 13, 0, 8, 13, 5],\n [20, -15, 6, 17, -8, 3, -3, -9, -20, 17],\n [8, -7, -12, 16, 15, -5, 17, -9, -15, -10],\n [0, -2, 14, -15, 1, 3, 8, 2, 7, -2],\n [-15, 0, 4, -16, 19, -1, 2, -18, 18, 19],\n [-9, 15, -2, -19, 0, 8, -7, -2, -14, 4],\n [16, 16, -14, 2, -16, 0, 3, -17, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-415", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 18, -20, 7, -19, 1, 2, 20, 18, 8],\n [3, 2, 15, -13, -20, -18, -2, -15, -17, 1],\n [16, 9, -7, 0, -20, -19, -2, -19, 9, -14],\n [4, -18, -13, -9, 15, -5, -17, -20, 5, 12],\n [-16, 7, 18, 17, -10, 15, -7, 2, 8, -16],\n [10, 2, -20, -7, -18, -20, 3, 0, -7, -12],\n [9, 20, -13, 5, 16, -17, 11, -10, -13, -16],\n [-10, 9, -8, 4, 1, 7, 9, -13, -8, -5],\n [-20, -2, 19, 5, -2, -11, 0, 12, -20, 20]]\nB =\n[[0, -1, -2, 0, 14, -1, 14, 1, 13, 17],\n [8, -1, 5, 10, -16, 17, 20, -17, 10, 17],\n [17, 9, -12, 15, 13, 4, -1, 6, 13, -2],\n [7, 20, 1, 18, -16, 15, -4, 7, 8, -8],\n [16, 8, 17, -18, 16, 16, -5, 4, -3, -4],\n [-10, -18, 16, 10, 11, 3, 4, -10, 3, 7],\n [10, -13, 8, -3, -10, 7, -19, -16, -12, 16],\n [1, 0, 18, 13, 2, 16, -18, 14, 14, 18],\n [2, 15, -15, -8, 14, -14, -19, 7, -12, 9],\n [-14, 17, -3, 11, 14, -2, -9, 17, -9, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5480", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -4, -5, -1, -18, -12, -13, -20, 2, -6],\n [-3, 12, -3, -20, 11, -5, 10, 6, -16, -1],\n [-8, -8, 18, -16, 17, 12, -1, 4, 20, -2],\n [1, 15, 2, 1, 12, 8, -8, 6, -17, 7],\n [-10, 19, 10, -18, 2, 0, -11, 1, -10, -16],\n [-7, -17, -2, 4, 9, 18, 4, 3, -11, -1],\n [1, 4, 3, 12, 11, 16, -7, 18, -17, -16],\n [3, 18, -2, 19, -6, -13, 0, 6, -4, -16],\n [7, 10, -11, -11, -19, 10, 19, -17, -11, -9],\n [2, 11, 5, 7, -1, -16, 14, -11, -12, -20]]\nB =\n[[12, -5, -19, 18, -12, -11, 6, 15, -6],\n [10, 5, -1, -9, 18, 17, 8, -5, 5],\n [-3, 10, 11, 2, -6, 3, 0, -20, 0],\n [-7, -3, 8, 14, 4, -18, -20, 4, 9],\n [-14, -8, 19, -3, 8, -1, 9, -12, -16],\n [7, 5, -15, 2, -9, -15, 6, 8, 20],\n [-10, -11, 18, 14, -7, -2, 14, 6, 0],\n [0, -1, 16, 12, -7, 18, 15, 13, -8],\n [1, 15, 9, 13, -13, -8, 15, 20, 5],\n [-12, 2, 20, -6, -20, -2, -20, 16, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1474", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-20, -2, -19, 1, -13, -19, -5, -6, 17],\n [-19, -19, -4, -5, 3, -16, 3, 5, 9],\n [12, -7, 1, -2, 20, 5, 14, -9, -19],\n [17, -17, -1, 4, 0, -14, 18, -2, -8],\n [-5, 11, 3, -11, 3, 13, -3, 4, 18],\n [-6, -17, 0, 11, 4, -19, -12, 13, -5],\n [11, -13, 2, 8, 18, -2, -6, -9, -1],\n [-17, 11, -1, 5, 17, 0, -13, 13, -14],\n [15, -14, -12, -20, -10, -3, -14, -19, -16],\n [10, 19, 7, -1, 15, -15, -19, -15, -6]]\nB =\n[[-19, 17, 12, 11, 15, -17, -18, -4, -6, 18],\n [-9, -14, -19, -17, 16, 3, -2, -19, 11, 12],\n [7, 16, -19, 1, -7, -3, 13, 13, 15, -10],\n [20, 19, 15, -5, 4, 20, 11, 9, 1, 7],\n [16, 18, 1, -13, -14, -11, 19, 13, -14, 3],\n [-9, -19, -13, 20, -3, 10, -1, -1, -9, -15],\n [-18, 9, 3, -7, 8, 8, -11, 20, 18, 12],\n [-13, -8, 7, -10, -4, -5, 3, 12, -8, -19],\n [5, 8, -9, -18, -3, 19, 9, 18, 14, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1091", "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, 20, -1, -4, -9, -19, 10, -6, -14, 13],\n [19, 0, -8, -19, -13, -1, -2, 4, 9, -1],\n [10, -4, 2, 16, -18, 1, -10, -18, 19, 6],\n [-20, -14, -16, 15, -1, -17, -7, 20, -2, 4],\n [-14, -4, 19, 12, 12, 7, -4, 10, -9, 5],\n [-18, -19, -5, -9, -7, -12, -7, -18, -16, -12],\n [-7, 18, -13, -11, 6, -7, -14, -16, 13, 11],\n [11, 9, -2, -9, -4, -10, 6, 1, 4, 16],\n [-10, 15, 3, 16, -2, 6, -19, -3, 12, -19],\n [9, -11, 12, -16, 20, 14, 3, -3, -9, -13]]\nB =\n[[-20, 10, 5, 14, -4, 8, 6, -1, 19],\n [7, -9, -7, -16, 3, 10, 11, -4, 4],\n [-13, 1, -18, 10, 17, 12, -8, 12, 8],\n [-11, -10, -19, -8, -6, -12, -2, 15, 17],\n [-13, 7, 15, -3, 13, -3, -4, -13, -2],\n [13, -9, 2, 5, 16, -13, -20, 18, -11],\n [-18, 2, 4, 12, 17, 6, -13, 2, 19],\n [5, -14, 2, 20, 16, -19, -17, -20, 1],\n [-4, -16, 2, 5, 16, -16, 17, -12, -7],\n [11, -19, -17, -18, 16, 2, 6, -14, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33996", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-17, -11, 3, 7, -5, -8, -2, -2, 5],\n [19, 0, 1, 19, -6, -13, -12, 17, -14],\n [-18, -13, 2, 1, -1, -18, 1, 17, 17],\n [-2, 8, -4, -9, -9, -7, -3, 2, 10],\n [-8, -20, -2, 5, 3, -17, 8, 13, -5],\n [-16, -4, -5, 4, 10, 0, -16, -7, 9],\n [5, 3, 15, 14, 0, -16, 7, -3, -6],\n [14, -4, -20, 10, 19, -7, -9, -16, -11],\n [17, -4, 8, 0, -19, -6, 1, -9, 5],\n [-16, 8, -20, 11, -10, 13, -4, 6, -6]]\nB =\n[[-8, -7, -3, 12, 16, 8, 10, -3, -11, 11],\n [-4, -20, -16, -18, 8, 17, 9, 20, -13, 14],\n [-18, -12, -20, 12, -17, 9, 10, -6, 17, -15],\n [14, 13, 6, -8, 20, 1, 19, 8, 16, -9],\n [20, -16, -16, 5, 5, -11, -18, -14, -15, -19],\n [-6, 11, -19, 10, -20, -10, -3, 18, -20, 4],\n [13, -18, 18, 20, 10, 13, -2, 9, 7, 14],\n [15, -13, -20, 14, -9, 9, -12, -2, 8, -15],\n [20, 3, 1, 11, -17, -13, -7, -8, 10, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6774", "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, 4, 7, -8, 3, 19, -6, 0, 3, -6],\n [-16, 18, -13, -9, -7, -20, -1, -16, 7, 7],\n [5, -3, 2, -3, -13, 3, 1, -1, 11, 16],\n [9, 0, -6, 4, -14, 11, 2, 6, -16, 0],\n [2, 17, 0, 12, -12, 4, 17, 4, -2, 17],\n [-20, 13, -17, -4, -8, -6, -18, -16, -11, -3],\n [-13, -5, -13, -14, -17, 3, -1, 9, 11, 4],\n [-3, 10, 4, -19, 13, -18, 0, 10, -1, -19],\n [9, 19, -5, 17, 7, -4, 18, -2, -14, -3],\n [17, 5, 19, 7, -14, 18, 5, 14, -13, -17]]\nB =\n[[-4, 0, 6, 18, 1, 2, -18, 10, -13, -7],\n [6, 4, -20, 15, 3, 5, 10, 6, 7, 10],\n [-10, 9, -8, -9, 9, -12, 18, -17, -8, -4],\n [-20, -5, -11, -19, -10, -18, -13, -5, -12, 6],\n [1, 6, 17, -15, 0, 13, -14, -11, -5, 13],\n [7, 13, -14, -12, 5, -3, -11, 19, 8, -7],\n [-7, 17, -13, -11, 8, -2, 18, 15, -3, 10],\n [-7, 19, 3, 8, 13, -16, 10, -14, 1, -4],\n [-20, 11, -18, 7, -6, 18, 19, 1, -2, 7],\n [-3, -10, -8, 18, 7, -19, 14, 9, 7, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33366", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, 10, 10, -11, -3, 10, -20, 5, -6],\n [-14, -1, 0, 19, -9, 1, -12, -8, 14],\n [-10, -7, 10, -18, 15, 2, 1, -6, 10],\n [-7, 9, 3, -2, -14, -3, -10, 4, 18],\n [9, -9, 0, -11, 13, 4, 2, -10, 12],\n [16, 0, 11, 1, -4, 15, 7, -4, -7],\n [6, -14, 10, -9, -19, 1, -13, -5, 4],\n [-18, 9, -2, 8, -16, -1, 12, -20, 11],\n [8, 17, 2, -11, -9, 14, -12, -10, -10]]\nB =\n[[17, -17, -2, 0, -15, 2, 18, -14, 15, 18],\n [-6, -12, 1, -10, 14, -4, -12, 13, -2, 19],\n [9, 1, 5, 9, -9, 15, -14, 20, -19, 0],\n [6, -20, -7, -19, 2, 5, 4, -6, 8, 7],\n [18, -17, 9, -11, -11, 1, -5, 18, 19, -8],\n [18, 9, -8, 5, 10, 18, 6, -17, -9, 14],\n [18, -20, -5, 1, 15, 13, 1, -7, -18, 17],\n [-8, -19, 19, -12, 14, 6, -1, 0, -15, 8],\n [1, 14, 16, 2, 8, 19, 6, -6, 14, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6303", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 4) of the product of the following matrices:\nA =\n[[-9, 20, -13, 13, -5, 15, -4, 4, 5, -4],\n [17, 17, -9, -8, -15, -12, 1, -18, 5, 13],\n [-17, -19, 15, -8, 16, -12, -13, 12, 9, 12],\n [-4, 14, 3, 1, -17, -12, -18, -5, 17, -14],\n [-1, -3, 11, -10, 9, 3, 6, 10, -15, 6],\n [-6, -8, -14, 18, 11, -1, -9, -3, -7, -3],\n [0, 12, 9, -3, -18, 11, -19, -10, -19, 10],\n [14, 8, 8, 12, -18, -20, -9, -16, -7, 12],\n [-14, 16, 9, -3, 16, -3, 15, -11, 9, -7]]\nB =\n[[0, 2, 0, 11, 9, 11, 20, 20, -9],\n [-3, 17, 1, 18, -17, 19, -11, 8, -5],\n [13, -2, -11, -9, -13, -6, 14, 11, 4],\n [1, -5, 20, -3, 6, -1, -2, -4, 10],\n [-13, -20, 7, 5, -20, 8, 20, 4, 12],\n [-11, 14, 16, -4, -7, -1, -5, -17, -3],\n [18, -17, 5, -8, 4, 0, -8, 0, -6],\n [10, -16, 0, 0, -12, -12, -12, -12, -7],\n [1, -17, 9, -9, 16, 8, -5, -6, -13],\n [-11, -6, 12, -13, 20, 7, -8, 0, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 12, 1, -6, 1, -2, -9, 4, 5, 4],\n [6, 18, 8, 9, 0, 2, -11, 10, -19, -10],\n [19, 18, 3, -15, 7, -9, 8, 13, -3, 12],\n [-11, -12, 17, 17, 1, -8, -5, 15, 10, -20],\n [-14, 1, 9, 0, 11, -19, 8, -20, 8, 0],\n [-4, 2, -5, -16, -8, -4, -11, -1, 10, 4],\n [-1, 17, 12, -16, 0, -11, -1, 4, 12, -7],\n [9, -15, -9, -1, -8, 14, 7, -17, 4, -10],\n [6, 18, -16, -4, 15, 14, 8, -4, 0, -18]]\nB =\n[[-17, -2, 16, -8, -18, -14, -2, 16, -6, 11],\n [-2, 10, -6, -4, -4, 1, 11, 14, 10, -2],\n [11, -1, -12, -17, -12, -11, 10, 15, 12, 2],\n [-8, 11, 4, 3, 15, 5, 6, 15, 11, 6],\n [-7, -6, 17, 13, 6, 4, 9, 12, -13, -16],\n [-7, 12, 0, 12, 8, -12, 6, 9, -12, 11],\n [20, 2, -11, 2, 7, 8, 5, 12, 20, -2],\n [2, -17, 10, 7, -11, -13, 11, 13, -3, 12],\n [-3, 9, -18, 1, -5, -12, 12, -5, 7, 18],\n [-2, 15, 16, 12, 20, -6, 4, 10, -5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3458", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-15, 9, 19, -8, -20, -8, 14, 12, 10, -3],\n [-6, 17, -6, -13, 10, -7, 0, -14, 15, 18],\n [5, 15, -6, 15, 5, 12, 11, -5, -20, -20],\n [0, -6, 7, 14, -15, -14, 7, -3, 16, 16],\n [10, -14, 17, 20, 20, 7, 20, 17, -8, -9],\n [5, -6, -2, 13, 10, -4, 14, -4, 12, 13],\n [-3, 13, 13, 4, -15, -17, 17, 1, -1, 4],\n [-11, -4, -5, 14, -20, -1, 8, -6, -3, 7],\n [-5, -5, -10, -6, 0, 10, 16, 11, -7, 17],\n [-2, 2, 16, -7, -15, -9, 11, -15, 18, -14]]\nB =\n[[-1, -4, 12, 13, -8, 16, 16, -18, -17, -8],\n [-11, 0, -6, -2, 1, -13, -18, -3, -19, 12],\n [18, -20, -20, -4, -8, 12, 6, 10, 11, -15],\n [-18, 8, -10, 5, 15, -14, 13, -14, -19, 14],\n [-4, 15, 20, 6, 5, -15, -13, -5, -14, -13],\n [-20, -4, 7, 19, -11, 1, 19, 11, 7, 12],\n [18, -3, 2, 19, 8, 1, -7, -4, -15, 18],\n [-7, 8, 20, -8, 15, 19, 9, 1, -2, -19],\n [-1, 2, 2, 2, -1, 7, 12, 7, -8, -18],\n [5, -17, -3, -10, 19, -13, -17, 18, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -13, -16, 11, -4, -13, 17, 14, -18],\n [20, -1, -6, 8, 13, 9, -5, -4, -3],\n [5, -17, -8, -10, 3, 1, 5, -2, 9],\n [0, 11, 14, 10, 16, 13, -3, -11, 13],\n [-3, 17, 0, -17, 5, 3, -19, 16, 0],\n [-9, 7, 11, -16, -20, 1, 15, 10, -5],\n [-15, 17, 1, 18, -5, 12, -11, -11, 2],\n [17, -12, -19, -14, -19, 3, -10, -8, -1],\n [-5, -10, -13, -16, -1, -6, -4, 11, -8],\n [-7, 1, -12, 7, 1, -8, 13, -3, 5]]\nB =\n[[-17, 7, -10, -4, -14, -13, -8, -3, 14, 3],\n [-7, -3, -17, -15, 13, 4, 12, -20, 4, -4],\n [6, 16, 17, -1, 13, -18, -11, 13, 2, -9],\n [-2, 11, 10, -19, 8, 18, 0, -4, 14, -19],\n [-3, -14, 7, -16, 13, 6, -2, 7, 13, -16],\n [16, 9, 3, 16, -2, -2, -1, 11, -8, 7],\n [19, -2, -4, 3, -5, -4, -18, -3, -7, -18],\n [4, -14, 18, 4, -4, -9, -14, 7, 13, 6],\n [6, 14, -16, -13, -7, -4, 14, 1, -9, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-616", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 5, 13, 14, 8, 10, -19, 13, 6],\n [-8, -8, -1, -18, -4, -5, 17, -2, -18],\n [15, -13, 18, 8, -18, 12, 1, 12, -5],\n [16, 8, -5, -17, 17, 7, -16, -20, -2],\n [8, -15, -6, -20, 11, -10, -3, -3, -7],\n [5, -12, -19, 8, -4, 8, 4, 9, -13],\n [13, -10, 11, 12, 7, 18, 1, -10, 13],\n [-18, -9, -9, 11, -16, -11, 19, -13, -13],\n [4, -7, 19, 0, -15, 17, 20, 10, 1],\n [14, -2, 19, 18, -8, 1, -2, 0, -18]]\nB =\n[[-11, -16, 4, 16, -15, 8, -9, -20, -13, -19],\n [-13, -17, -8, 8, 20, 20, 15, -6, -13, -14],\n [3, -4, 10, 7, -1, -4, -9, -9, -19, 6],\n [-3, -13, 7, 14, 4, -7, 14, 15, 13, -3],\n [20, -19, 1, 16, -18, 17, -18, -12, 0, 18],\n [1, 7, -10, -8, 18, -4, 7, 11, -17, 0],\n [-1, -4, 9, 20, -12, 0, -15, 11, 13, -20],\n [12, 10, -1, -13, 17, 10, -11, 17, 9, 5],\n [-10, 1, -7, 0, 4, 2, 13, -3, -2, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31405", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 2, -5, 12, 10, 18, -6, -8, 9, 7],\n [-15, 6, 20, -8, -5, -15, 19, -12, -19, -19],\n [16, 17, 2, -14, -16, -10, 4, -18, 13, 12],\n [0, 13, 13, -2, 8, 6, -1, 14, 10, -9],\n [15, -8, 20, 12, -7, -4, 19, -5, -10, 16],\n [-9, -9, -10, 3, 10, 10, 5, 15, 2, -5],\n [-13, 5, 10, -1, 11, 2, 11, 8, -9, 16],\n [-4, 9, -18, -20, -5, -18, -17, 14, -20, -15],\n [19, 9, -15, 16, 16, 4, 2, -6, 6, -16]]\nB =\n[[-19, 17, 10, 19, 9, 18, -2, -17, 6],\n [-12, 8, -14, -16, 10, 18, 13, 20, -1],\n [8, -9, 7, 19, 17, 7, -10, -12, 10],\n [3, 17, -8, 1, 3, -1, -9, 16, 8],\n [16, 15, 19, -10, -7, 9, 2, -5, 10],\n [0, 0, 0, 18, 3, -4, 6, -4, 17],\n [-12, 11, 19, -15, -3, 1, 16, 8, 3],\n [10, -19, -13, -15, 8, 15, 2, 19, 12],\n [-5, 15, 7, 3, -17, -8, 7, 9, 1],\n [10, -14, -8, 18, 8, 17, 7, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26847", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -14, -20, -16, -10, 0, 7, -8, 15],\n [13, 10, 0, -14, 9, 10, 5, 2, 10],\n [12, 3, -11, -17, 14, 14, -11, -8, 6],\n [-2, 13, 18, 7, 11, 7, -1, 1, 5],\n [3, -19, -18, -5, 19, 6, -5, -12, 11],\n [-2, -3, 0, -18, 3, 7, 0, -17, -20],\n [6, -3, 16, -1, 9, 13, -16, -4, -1],\n [17, -4, -9, 10, -1, -10, 10, 3, 5],\n [19, -6, -10, 7, 20, 14, 20, 17, -9]]\nB =\n[[12, -5, -8, 0, -3, -7, -2, -13, 9],\n [-9, -10, -16, 7, 17, -12, 13, -16, -10],\n [3, 1, -5, 19, -19, 0, -20, 5, -12],\n [19, -1, -14, 10, 18, -12, -8, -16, 6],\n [-2, -6, -2, 8, 7, -7, -7, -6, -2],\n [-5, 14, 15, 12, 18, 16, -1, 3, 18],\n [4, 13, -11, 3, -4, 20, -7, -5, 5],\n [20, 10, -20, -14, 10, 6, -17, 4, 20],\n [9, -19, -3, 18, 3, 8, 20, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5485", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 14, -5, 2, -7, 12, -11, -10, -16, 0],\n [7, -17, -13, 19, 9, 12, 19, 11, 14, 12],\n [16, -3, 16, -3, 8, -12, -18, 11, -9, 10],\n [12, -20, 11, 12, 3, -20, 14, 9, 1, -9],\n [13, -11, 6, -17, 17, 19, -7, 9, -17, -20],\n [9, 8, -17, -7, -16, 13, -7, -5, -14, -12],\n [-12, 18, 1, -18, -5, -12, -7, 14, 12, 5],\n [-15, -2, -3, -16, 0, 14, 19, 20, -3, -1],\n [14, 18, 19, -18, -14, -12, 4, -1, -12, -12],\n [-6, 9, -5, 15, 2, -3, -2, 9, -6, 10]]\nB =\n[[-8, -16, 4, -1, 11, 6, -4, 2, -17],\n [-4, -18, -17, -6, 15, -16, -9, -20, 13],\n [-10, 3, 7, 10, 12, 11, -15, 16, 7],\n [14, -9, 19, 14, 17, 11, 2, -13, 18],\n [-7, 19, -13, -18, 14, 20, 4, -7, 7],\n [-4, -9, 1, -9, -11, -18, 7, 10, -9],\n [-19, -7, 20, 12, 20, -5, -11, -14, -4],\n [4, 9, -18, -19, 4, 20, 3, 14, 14],\n [-14, -19, 1, 1, 6, -10, -8, -3, -16],\n [5, 14, 6, -14, -14, -12, -1, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1482", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, -4, 15, -18, -18, -9, -1, 5, 9, -7],\n [-11, 14, -12, -10, -14, -13, 2, -14, 7, 8],\n [13, -11, -9, -3, -2, 5, 15, -14, 11, 2],\n [-14, -5, -16, 20, -4, -15, 4, 11, -20, -14],\n [-14, -5, -15, 10, 16, 14, -7, 13, -6, 17],\n [-3, 17, 10, 17, 16, -17, 8, -8, -11, 19],\n [13, 16, 13, -8, 11, -12, 13, 11, -1, -20],\n [-4, 15, -10, -12, -19, 6, -15, -20, 18, -3],\n [17, -2, -20, 11, -20, -7, -4, -12, 18, -12],\n [-10, -10, 5, -12, 14, -12, -13, -16, -16, -6]]\nB =\n[[16, 5, 13, -8, 7, -7, -20, -3, -18, -7],\n [6, -14, -5, 11, -16, -19, -18, -14, -19, 14],\n [-8, -15, -16, -10, -3, -2, -16, -13, 6, -7],\n [-18, -17, 12, 19, 16, 13, 5, -9, -11, 6],\n [16, -20, -1, -3, -15, -14, -15, 8, -16, 20],\n [-18, -1, -16, -13, -20, 17, 14, -17, -16, -12],\n [-13, 15, 3, 2, -11, -3, 19, -10, 0, -10],\n [9, 9, 19, 16, -1, -2, -13, 16, -12, 4],\n [20, -17, 20, 2, 4, -7, -6, 18, 0, 9],\n [5, 2, 15, 7, 17, 3, -9, 14, -10, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "698", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-19, 13, 0, -8, -2, 12, -15, 15, 2],\n [2, 20, -17, -19, 20, 5, 8, 4, -15],\n [-19, 14, -9, 6, -1, 18, 3, -14, 5],\n [-9, 3, 12, -11, 11, 19, 3, 4, 0],\n [0, 1, 20, -19, 16, 7, 15, -20, 5],\n [-14, -16, 5, -8, 20, 6, -4, -11, -8],\n [2, 1, 13, -12, -11, -3, 14, 15, -10],\n [-16, 20, -11, -7, -4, 16, 1, -19, 0],\n [0, -1, -1, 5, 4, -12, 20, 17, -6],\n [-8, 12, -11, -19, -11, 5, 18, 19, -9]]\nB =\n[[8, -8, 3, 20, 10, -1, -10, 8, 20, -5],\n [15, 1, -13, -1, 18, 0, 18, 9, -10, 3],\n [3, 18, -1, -7, 2, 8, -6, -1, 5, -9],\n [2, -2, 12, 4, -4, 11, 1, 13, 17, -9],\n [-20, -6, -3, 16, -20, -19, 15, -5, 4, -1],\n [-3, 12, 5, -6, 18, 6, -20, 20, 2, 5],\n [15, -19, 19, 1, 1, 17, 3, 6, -13, -8],\n [16, -8, -12, 15, 8, 1, -11, 20, 20, 17],\n [18, -8, 15, 12, 20, 14, 0, -18, -17, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-668", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, -3, -18, -19, 4, -16, 15, -4, 0],\n [-9, 10, -10, -3, -11, 13, 17, -11, -15],\n [-4, -14, -8, 6, -18, -16, -13, 7, -10],\n [-18, 3, -12, -6, 8, -1, 13, -9, 20],\n [6, 3, -7, 15, -20, -14, -13, 8, 1],\n [-9, 6, 8, -14, 5, 9, -3, -10, 17],\n [-11, 6, 11, 1, -8, 17, 20, -7, -9],\n [6, 2, -19, 18, -5, 2, 6, -14, -5],\n [18, -10, -7, -14, 4, -10, 12, 11, 20],\n [-1, -17, 16, 12, 1, 15, -20, -14, -13]]\nB =\n[[-13, 5, 3, 6, -1, 19, -18, -14, -10, 10],\n [18, 17, -3, -2, 2, 5, -13, -6, 7, -8],\n [19, -18, 2, -9, 1, 14, -18, 12, 6, 5],\n [-17, -11, 9, 9, 7, -6, 16, -2, 2, -4],\n [-17, -2, -20, 15, 0, -14, 5, -1, -19, 4],\n [-15, 9, 16, 12, 16, 7, 9, -11, -6, -2],\n [-9, 14, 10, -9, 19, -9, 1, 5, -14, -18],\n [15, 20, 11, -14, -5, 15, 2, -8, -13, 15],\n [1, 10, 17, -7, -16, 10, -12, -13, -9, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-724", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, 13, 5, -9, 12, -12, -20, -6, 13, 14],\n [6, -13, -15, 1, 20, 19, 15, -8, -10, -8],\n [-14, 10, -17, 15, -14, 17, 12, -10, 7, -5],\n [3, 4, 5, 1, -5, -2, -10, -20, 10, 14],\n [-7, -11, -18, 7, -11, 5, 1, 10, 11, 15],\n [-14, -13, 8, -13, -15, 4, 16, 7, 11, 14],\n [-8, -10, -14, -11, 6, -15, -14, -3, -8, -8],\n [-7, -5, -3, 9, -8, 17, 2, -2, -13, -4],\n [15, -13, 13, 9, -15, 19, -18, 3, 7, 3]]\nB =\n[[-9, 14, 15, -2, 16, 18, -3, -18, -12],\n [17, 1, 0, -6, -10, 6, 13, 9, 15],\n [-15, -9, -7, 15, 1, -6, 11, 9, 2],\n [-5, 18, -9, -1, 12, -7, 10, 16, 9],\n [5, 16, -3, 14, -11, -3, -20, -18, 13],\n [-15, 5, 1, -1, 8, 19, 6, 2, -19],\n [-10, -4, 16, 17, -2, 11, -3, 15, -10],\n [3, -7, -10, 18, 9, -19, 14, 8, -3],\n [14, 6, -16, -16, 2, 1, 7, 4, -17],\n [12, 6, 2, 17, -17, 16, 8, -20, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2189", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[-17, -3, -14, -20, 8, -8, 5, 3, 7],\n [-15, -12, 16, 6, 16, 10, -1, 0, 8],\n [3, 19, -17, -8, 15, -11, 0, -5, 10],\n [-7, -3, -6, -20, 12, 11, -10, 17, -5],\n [-17, -7, 20, 14, -13, 18, 13, -20, -9],\n [10, 9, 18, -5, 20, -7, 0, 3, -20],\n [15, -10, 4, -8, -5, 8, -2, -6, -2],\n [10, -9, 12, -15, 17, 2, -5, 15, -4],\n [-3, -17, 8, -1, -18, 19, -7, 7, 4]]\nB =\n[[-19, 17, -7, -15, 3, 15, -4, 7, 14],\n [-19, 18, 0, 20, -18, -14, -20, 14, 14],\n [-5, -20, -19, -19, -18, 14, 11, -5, -19],\n [16, -9, -19, 3, -19, -19, 8, -19, -6],\n [17, 0, -2, -5, -14, 8, -2, 12, 3],\n [-2, -16, 16, 4, -18, 7, 5, -10, -10],\n [-14, 5, -17, -2, 13, -11, -19, -14, 14],\n [11, -6, -9, -8, -13, 18, 0, 6, -4],\n [-10, -13, 11, -11, 14, 7, 11, -17, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[18, -3, 11, -16, 16, 7, 18, -8, 1, 6],\n [-12, 6, -4, -9, -9, 14, 7, 9, 6, 11],\n [17, 19, -15, 10, -20, 0, -9, -9, 16, 1],\n [17, -5, -9, 18, -7, -12, -19, 8, 14, 1],\n [-16, -16, -1, 12, -16, -14, -16, -20, -2, -12],\n [-4, 18, -12, -5, -2, -7, 15, 15, -18, 5],\n [-10, 7, 19, -10, -9, 6, -9, 12, -16, 0],\n [9, 12, -11, -20, 8, -14, 12, -20, 10, 12],\n [-18, 10, -19, -3, 19, -3, 3, 11, 3, -12],\n [-9, 6, 18, -16, 14, 5, -11, -11, -18, -8]]\nB =\n[[1, 0, 13, 5, -11, -1, -4, 3, 12, -5],\n [16, 13, -13, -6, -8, 4, 7, 18, 15, 17],\n [-11, -5, -8, 9, -8, 4, 20, -4, -15, 0],\n [0, 7, -9, -13, 16, -2, -3, -1, -9, -16],\n [2, -1, -12, 2, 17, -12, 19, 8, 16, 9],\n [-8, 6, -4, -17, -18, -2, -20, -13, -19, 14],\n [-18, -4, 18, 10, -11, -11, -3, 18, -16, -15],\n [10, 15, -7, 12, 8, -2, -11, 2, 20, -13],\n [3, -15, 16, 6, 11, 9, -18, -11, -3, -8],\n [-4, -5, 0, -9, -5, -7, -11, -4, -2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5702", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 8) of the product of the following matrices:\nA =\n[[-15, -3, 12, -16, 7, -13, 13, -5, 20],\n [-7, -4, -16, 8, -2, 5, 8, -10, 4],\n [8, -3, 8, 18, 19, 20, 9, 1, 11],\n [14, 16, 8, 19, 20, 1, -18, -8, -19],\n [-12, 18, -20, 16, -4, -10, -10, -19, -13],\n [-7, -17, -5, -14, 12, 4, -15, -13, 9],\n [-14, -2, -18, -11, 10, -8, 10, -12, -2],\n [6, 13, 15, -2, -3, -20, 8, -9, 19],\n [-15, -2, 5, 17, 4, -4, -9, -1, 19]]\nB =\n[[7, -15, 2, 10, -19, 12, -12, 5, -4],\n [-4, 9, 16, 9, -5, 0, -3, 6, -16],\n [-8, 5, -1, -16, -8, 19, 16, 20, 5],\n [-6, -12, 2, 0, 15, 13, -19, -3, 6],\n [-20, -1, 2, 17, 18, 7, 8, 12, -16],\n [13, -13, 14, -2, -10, 9, -20, -4, -11],\n [-9, 15, 9, -13, 12, -8, 13, 1, -5],\n [-11, 5, 19, 4, 16, -8, 20, -18, 8],\n [-17, 17, 20, 1, -7, -20, 15, 3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-2, -13, -19, 9, 9, -20, 6, 20, 17, -20],\n [10, 15, -12, -18, 2, -13, -7, 17, -8, -9],\n [18, -10, -9, -7, -9, 18, -12, 2, -1, 14],\n [6, 13, 15, -19, -6, 0, 14, -8, 13, 4],\n [19, 1, 8, -17, -5, 7, 1, -8, 17, -3],\n [20, 8, 0, -8, 6, 20, -16, -12, -5, -2],\n [2, 11, -18, -9, 19, -13, -4, -10, 20, 12],\n [15, 6, 10, -12, -2, 4, -2, 17, -11, 17],\n [-12, -13, 19, -20, 0, 19, -17, -3, -7, -1]]\nB =\n[[15, -19, -6, -3, 4, 9, 14, -13, 9],\n [4, -14, -4, 11, 4, 7, 17, -13, 1],\n [17, -15, -9, 8, 9, 11, -13, 5, 0],\n [15, -8, -15, 1, -5, -3, 11, -4, 19],\n [17, -7, 19, 19, -4, -4, -5, -4, 1],\n [7, -6, 18, 1, 0, -10, -8, 15, -1],\n [16, -15, -20, -4, 1, 2, -15, -2, 9],\n [19, -10, -4, 8, -2, -9, 0, -6, 9],\n [-20, -4, 9, 0, 7, -1, -2, 3, -10],\n [5, -4, 19, 5, 17, -6, -8, -4, -7]]\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 sum of absolute values of all entries of the result:\nA =\n[[-2, 6, -7, -19, -14, -20, 0, 11, 20, 18],\n [-16, 7, 17, -10, 18, 14, -8, 6, -20, 19],\n [-12, 15, -15, -10, 13, 18, -15, 15, -18, 7],\n [-15, -13, 3, -6, 7, -12, 12, 7, -11, 4],\n [-17, 10, -8, 5, 14, -14, -19, -12, 17, -4],\n [20, 0, 8, 11, 18, -5, 15, -13, 0, 17],\n [-14, -8, 0, -16, -16, 20, 7, 12, -17, -1],\n [16, 15, 19, 16, 17, -12, 19, 14, 11, 12],\n [6, 17, 19, 12, 15, 3, -4, -10, 13, -3]]\nB =\n[[0, -2, 14, -2, 18, 13, -18, 19, 5],\n [19, 6, -18, -14, -18, 0, 16, -3, 6],\n [-11, -18, 4, 10, 12, -1, -9, 9, 13],\n [13, -12, -16, 3, -16, -14, 12, -14, -8],\n [-17, -3, 6, 7, 3, -7, -9, -12, -8],\n [6, -13, -11, -16, 12, -9, 11, -17, -12],\n [20, -12, -12, -14, 17, -19, -11, 16, 3],\n [18, -9, 18, 18, 15, -18, -18, -5, 2],\n [-20, 9, 11, 13, 20, 14, 9, 7, 11],\n [20, -1, 18, -17, 11, -5, 14, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32596", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[15, 17, 7, -7, -18, 3, 7, -14, -6, 4],\n [-14, 3, -10, 15, -6, -11, 8, -9, 3, -14],\n [8, 0, 7, 8, 20, 16, -2, 9, 4, 9],\n [10, 2, 14, -11, -13, -15, -19, 15, -6, 16],\n [4, -6, -13, -14, -11, -5, 14, 2, 13, -18],\n [-19, 9, 8, -12, 14, 3, -19, -19, -2, -10],\n [3, -5, 11, 4, 19, -14, -3, -13, 11, -17],\n [0, -8, 12, 3, -15, 0, 10, -12, 13, -20],\n [-2, -19, -1, -16, 15, -4, -9, 1, 19, 4]]\nB =\n[[16, 9, -12, -2, -14, 1, 0, 7, 5, 18],\n [15, 5, 5, 18, 14, -3, -3, -4, 5, 13],\n [16, 14, -12, -5, 0, -4, -7, -20, 16, 20],\n [0, -17, 14, -3, -11, 8, 20, -19, -13, 13],\n [-10, -11, 12, -17, 4, 1, -16, 19, 7, -9],\n [-17, 19, -2, 4, -3, 11, -4, -5, -3, 15],\n [13, 13, 8, 4, -11, -12, -3, 2, -15, 16],\n [1, 7, -13, -10, 15, -13, -12, 5, 9, 14],\n [6, 17, -13, -15, 17, -3, -20, -13, -9, -20],\n [8, 14, -4, -15, 1, -13, 15, 0, -16, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 9, -8, 20, 8, 12, 20, -11, -2],\n [20, -12, -5, 6, 18, 18, -15, -2, 10],\n [-2, 11, 20, -18, 1, -10, 11, -17, -9],\n [8, -17, -18, 2, -11, -4, 8, 16, -9],\n [18, -3, 1, -2, -4, -16, -6, 20, 5],\n [19, 3, -1, 0, 14, 6, 15, -11, 16],\n [13, 5, -10, -1, 12, -15, -19, -12, 11],\n [-2, 4, 9, -4, -8, 4, -7, -3, -5],\n [-13, 0, -6, -20, -6, -4, 17, 5, -7],\n [12, -6, 3, 0, -3, -14, -3, -3, -20]]\nB =\n[[2, -14, -1, 11, -16, 1, 11, -14, -14, 0],\n [-12, -6, 5, -13, -19, -12, 15, -3, 3, -18],\n [0, -10, -20, -9, -15, -14, -17, -13, 2, 19],\n [-7, 16, 12, -16, -15, 2, -6, 13, -18, 9],\n [-5, -7, 0, -19, -1, -3, 20, -2, -4, -7],\n [-8, 6, -15, 14, 14, -3, 13, 15, 1, -17],\n [20, 8, 11, -8, 3, -5, -20, 5, -5, 7],\n [-1, 11, -14, -15, -2, -13, -4, -2, -2, -12],\n [13, 13, 13, -19, -4, -11, 19, -17, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-885", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, -13, 18, -3, 8, -17, -4, 17, -15],\n [2, -13, 19, -9, -4, -6, -17, -4, 6],\n [-1, 14, 8, -8, 3, -3, 14, 6, -7],\n [-6, 4, -12, 8, 17, -2, -8, -10, -10],\n [-5, -5, 6, -15, -10, -11, 14, 5, 3],\n [8, -11, 2, 7, 15, 18, -12, -3, -4],\n [5, 8, 1, -17, -4, -2, 14, 4, -16],\n [-18, -1, -4, 7, 0, -5, 6, -20, 20],\n [-13, -5, 1, 7, 6, -16, 11, -9, 6],\n [-2, 0, 3, -17, -19, 4, -3, 5, 14]]\nB =\n[[-17, -18, 9, -14, -8, 3, -17, -12, -3],\n [2, 10, 8, 2, -19, 16, -2, 0, -3],\n [10, 17, 17, -18, -2, -8, -11, 4, -4],\n [-10, -16, 4, -6, -11, 4, -11, -7, -7],\n [7, 13, 4, 12, 7, 11, 8, 12, 20],\n [-16, 18, -8, 16, 9, 5, -16, 13, -15],\n [16, 11, -3, -20, 13, -2, -11, -19, -20],\n [-20, 9, -14, -12, -12, -12, -19, -17, 18],\n [12, -4, -12, 8, 16, -3, -10, -11, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6562", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 8) of the product matrix AB given:\nA =\n[[11, 17, -16, -18, -10, -2, 19, 2, 10],\n [12, 1, -8, -9, -2, -12, -16, 19, 14],\n [-17, 5, -13, 7, 7, 9, 2, 5, -14],\n [-11, 2, -13, -5, -14, -12, -6, 19, 12],\n [-11, -19, 2, 20, -2, -18, -3, -16, -15],\n [-20, -15, -11, 17, 0, -11, 17, 11, 4],\n [6, 2, -7, -9, -4, 14, 11, 5, -12],\n [-17, 12, 8, 19, -4, -13, 14, -8, 20],\n [-17, 3, 18, 17, -15, -9, 8, 17, 14]]\nB =\n[[11, -12, -18, -11, -5, -6, -11, 17, 2],\n [16, -12, 20, 12, -4, 12, 14, -3, -12],\n [-7, 20, -3, 0, -16, -15, 8, 13, 18],\n [-20, 5, -1, -13, -9, 7, 3, 17, -12],\n [-18, 19, 12, -17, -13, 7, 16, -8, -5],\n [2, -17, -13, -2, 12, 16, -9, -6, -15],\n [-14, 10, -4, 2, 2, 13, -18, 16, 11],\n [-18, -15, 4, 18, -11, -2, -11, -6, 7],\n [-12, 13, 3, -16, 6, 4, 8, 11, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the product of the following matrices:\nA =\n[[-13, -1, 9, -11, 20, 7, -1, 8, 5],\n [-4, -13, 11, 1, 11, 15, -6, -2, -4],\n [-16, 15, 17, 6, -15, -12, -19, 19, -1],\n [-18, 13, 9, 5, 14, -20, 10, 9, -2],\n [8, 5, 2, 2, 16, -2, 18, 11, 7],\n [-18, -2, 3, 6, 1, -13, -4, -7, 10],\n [-3, 1, -14, 6, 16, -4, 14, -18, -19],\n [-18, 0, 16, -10, -20, -2, 0, 7, -3],\n [-11, 16, -2, -7, -20, 6, -9, 16, 4]]\nB =\n[[-14, 9, 7, -13, 2, -9, 4, -12, 11, -4],\n [17, 19, -17, 17, 9, 3, -19, 18, -12, 3],\n [3, -6, -14, -1, 15, -6, 19, 2, -16, -3],\n [-12, 1, 13, -20, 9, -2, -18, 7, -11, -12],\n [7, -10, -5, 2, 14, -10, 3, 14, 0, -7],\n [6, -20, 6, 16, 5, 17, -10, -10, -16, -16],\n [-5, -7, 12, 3, -16, 10, 14, -4, -9, 15],\n [18, -14, -7, -5, 10, 0, 15, 1, 5, -8],\n [-9, 16, -1, -7, 20, 3, -8, -11, -13, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 10, -20, 14, -4, 1, 10, 8, -9],\n [3, -16, -14, -3, 5, -5, -14, -2, -6],\n [-16, -12, 0, 20, 13, 1, 4, -19, -8],\n [-7, -19, 12, -3, -10, 19, -6, 16, 15],\n [-3, -8, -3, 8, 2, -18, 1, -12, 8],\n [1, 18, -17, 11, 10, 8, -7, -14, -11],\n [10, 13, 19, -8, 0, -17, -17, 1, -6],\n [-16, -3, -18, 15, 1, 20, -8, 12, 4],\n [-1, -7, -12, -9, -13, -1, -17, 15, 7],\n [-3, -10, -20, -18, -17, -8, 17, -2, -12]]\nB =\n[[9, 13, 3, 16, 10, 20, 2, -5, 20, -4],\n [-13, -13, 13, -9, -3, 15, 11, 9, 0, 7],\n [-11, -3, -18, 0, 10, 14, -18, -1, 16, -18],\n [12, 10, -9, -18, -16, -10, -15, -13, 18, -3],\n [0, 11, -18, -9, 3, -2, 2, -14, 3, -1],\n [9, 6, 6, -20, -14, -4, 10, 16, -8, -10],\n [7, -13, -6, -3, -17, -6, -14, 3, -6, -18],\n [2, -14, -19, 12, -3, 14, 18, -6, -20, 5],\n [12, 20, -16, 4, 3, 11, -12, 4, 16, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 3) of the result:\nA =\n[[20, -20, -7, 9, 7, 18, 6, 20, -12],\n [11, 13, -17, -3, 19, -5, -15, 9, -10],\n [18, -18, 16, -19, -14, -13, 10, -20, -10],\n [17, -16, 10, -2, 13, -10, -10, 16, -13],\n [5, -15, 11, 8, -2, -5, 3, 8, 19],\n [-2, -17, 4, 10, -20, -4, -19, 11, 18],\n [-13, -2, 20, 14, 8, -18, -19, 11, -6],\n [20, 0, -8, 1, 10, -8, 1, -13, 10],\n [6, 4, 16, -3, 11, 16, -2, -15, -16],\n [5, -2, -14, 8, -15, -16, -10, -17, 12]]\nB =\n[[4, 8, -6, -20, 0, -6, -11, -4, 4],\n [-20, 9, -2, -20, -15, 11, 15, 13, -16],\n [12, -14, -7, 13, 11, 6, 2, -9, 9],\n [3, -14, -17, -13, 10, 6, 4, 14, 13],\n [-16, -7, -17, 6, 1, -18, 0, 16, -14],\n [-14, 19, 8, 0, 16, -1, -15, 10, -14],\n [14, 6, -19, 14, 8, 2, 8, 13, -3],\n [7, 9, 8, 1, 20, -18, 15, 16, 4],\n [2, -20, 16, 0, 9, 11, 3, 16, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-223", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[17, 14, -5, -17, 9, -3, -15, 20, -6],\n [-14, 18, 16, 5, 18, -20, 5, 9, 2],\n [13, -18, -2, 10, 18, -8, 8, -11, -4],\n [10, 20, 7, -13, 9, 18, 8, -8, 6],\n [-18, 5, 7, -11, -2, -5, 8, 12, 5],\n [0, 17, 4, -5, 18, -19, 1, -19, -10],\n [-4, 20, 7, -17, 6, -19, 15, 17, 15],\n [-16, 7, -12, -7, 0, -9, 20, -6, 7],\n [-10, -1, 6, 11, -8, -17, -7, -15, -18],\n [9, -9, -15, 4, 6, 14, 14, -14, -1]]\nB =\n[[-11, -10, 20, -14, -5, -18, 4, 2, 7, 0],\n [-17, -13, 9, 15, 10, 11, 16, 15, 15, 17],\n [13, 9, 6, -13, 13, -6, 8, -14, -17, 20],\n [14, -13, 2, 10, 5, -5, 0, -8, -16, -10],\n [-20, -11, -3, -7, 19, -15, 2, 6, -19, -4],\n [4, 8, -19, -10, -8, -6, -17, -12, 13, 13],\n [20, 14, 10, 12, 13, 2, 6, 17, -20, 3],\n [-3, -7, 14, -15, -18, 11, -17, -14, -18, -18],\n [-4, 17, -20, -19, -20, -10, -12, -16, 19, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1073", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[17, 17, -2, 9, 12, 17, 0, 19, -17, 1],\n [1, 2, 16, -12, 1, 15, -20, -9, 11, -18],\n [4, -2, -16, 8, -4, 1, -13, 9, 19, 0],\n [-14, 20, -1, -8, 15, -12, -7, -5, -5, -6],\n [-18, -16, -16, 4, 15, 6, 6, 5, -7, -20],\n [5, 15, -3, 2, -13, 8, -1, -4, -20, -6],\n [-14, -7, -19, -13, 7, -11, -12, -14, 14, 15],\n [-13, -11, -19, 2, -1, 2, 1, 0, 5, 11],\n [2, -7, 16, 9, 10, -12, -2, 3, 15, 11],\n [-20, -10, 7, 9, 4, 5, 5, -13, 20, -17]]\nB =\n[[-18, -7, -13, -18, 2, -4, 14, 14, -3, -19],\n [-8, 19, -20, -14, -12, -10, 17, -14, -18, -16],\n [4, 12, -9, -11, -3, 15, 5, 9, -2, 13],\n [7, 3, 20, -5, 4, 16, 19, -13, 8, 18],\n [-1, -18, -19, 18, -7, 2, -1, 13, 11, 6],\n [-4, -11, 13, 11, -12, -12, -8, 7, 10, -13],\n [3, -9, 13, -14, 14, 9, 15, 0, -6, -15],\n [-5, -7, -9, 12, -4, 12, 17, 7, 0, 11],\n [-6, 4, 15, 2, 13, -9, -14, 11, 3, 2],\n [18, 13, -16, 11, -8, 11, -10, -13, 11, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34521", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, -14, -3, 17, 20, -4, 14, -12, 16],\n [-12, -6, 1, 12, 12, 6, 11, 12, 12],\n [3, -15, -20, -12, 2, -13, 8, -3, 13],\n [-13, -11, 14, -5, 3, -13, -10, -16, 3],\n [15, -16, 17, 9, -10, 17, 5, 18, -18],\n [19, 16, 20, -8, -7, 5, -11, 2, -10],\n [-17, -8, 10, -3, 20, 13, -7, 4, 4],\n [-19, -3, -3, 2, -19, 0, -20, 8, 11],\n [15, -8, -8, -18, 9, 17, 4, 15, -7]]\nB =\n[[13, 1, -20, 2, 5, 0, -16, -15, -1],\n [15, 0, 14, -7, 19, 4, -4, 18, -18],\n [18, -11, -15, -9, 16, 7, 15, -20, 17],\n [10, -4, 1, 13, 13, 8, 1, 14, 17],\n [-5, 10, 14, -11, -15, -2, -9, 6, 12],\n [5, 16, 3, 10, -19, 1, -3, -1, 20],\n [-3, 8, 4, -10, 15, -9, -13, 7, -18],\n [12, 19, -10, -1, 9, 7, 11, -6, -5],\n [-16, -17, 6, -17, -4, -7, -20, -12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, -13, 14, 18, 2, -20, -20, -7, 18, 18],\n [11, 16, 7, 15, 12, 6, 12, -18, -1, 14],\n [16, -7, -10, 20, -19, -17, -11, -14, -2, -14],\n [6, 13, -16, 19, 9, 19, 20, 5, -12, 14],\n [-15, 4, -11, -2, 14, 18, 5, 14, -18, -16],\n [-12, 8, 13, -1, -5, 12, 19, 1, -6, 15],\n [1, 13, 4, 7, 13, 0, 6, -20, 8, 11],\n [-8, -8, 15, -8, -16, -11, -7, -4, -19, 13],\n [-5, 4, -14, 13, 1, 5, -1, -20, -12, 1]]\nB =\n[[10, -4, -19, -5, -11, -11, 4, 14, -6],\n [-2, -17, 1, 15, 1, -2, -12, -10, -13],\n [-20, 1, -19, -6, 8, -6, -3, -11, -2],\n [-11, 6, 1, 9, 4, -6, -18, -12, 13],\n [12, 2, -11, 13, 18, -20, -13, 18, -7],\n [-18, -9, -7, -3, 13, -12, -19, -6, -12],\n [-10, 0, -20, -1, 5, -12, -5, 5, -13],\n [6, -11, -6, -2, 3, -8, -14, -14, 15],\n [7, 15, -6, 14, -9, 7, 10, 10, -9],\n [-4, -17, -10, 12, 19, 2, -7, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[20, -12, 15, 1, 10, 10, 19, -15, -1],\n [-12, 19, -1, -1, 15, -20, 14, 20, -10],\n [-18, -15, 0, -12, -1, -2, 5, -7, 3],\n [-18, 7, 18, -20, -12, -20, 10, -10, 15],\n [9, 3, 17, 6, 2, 13, 14, -14, -13],\n [6, 6, -12, -15, -19, -12, -15, -10, -20],\n [14, -11, -1, -2, -10, 6, 8, -1, -13],\n [-8, -13, -2, 12, 20, 18, 3, 12, 15],\n [-18, -18, -20, 6, 18, 14, 13, 5, 10]]\nB =\n[[7, 15, -5, -1, -12, 11, -20, -20, 12],\n [3, 16, -19, 9, -3, 7, -6, 14, -7],\n [-19, -19, 3, -10, -2, -20, 7, 6, -9],\n [12, 18, -4, -7, 9, 5, -5, 11, -14],\n [3, -20, 0, 5, 9, 5, 14, 9, 17],\n [18, 2, 15, -10, -7, -9, 9, -6, 17],\n [4, -18, -18, 2, -11, 5, 12, 8, -20],\n [-1, -13, 19, 7, 10, -6, -9, 14, -16],\n [-20, 9, 14, -18, -2, -16, -8, -16, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-387", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-16, 17, -17, -7, -5, -20, -11, 18, -3, -5],\n [20, 10, -9, -5, 3, 0, -5, 4, 0, -17],\n [17, 3, -15, 20, -14, -17, 15, 10, 4, -7],\n [15, -16, -9, -17, 9, 8, 8, 1, 15, 5],\n [1, -20, 12, 18, 14, 5, 12, 6, -12, -13],\n [-18, 5, -13, -6, -13, -19, 9, 16, 6, 6],\n [-15, -12, 8, -2, 3, -1, 11, 14, -17, -8],\n [-16, 16, -10, -5, 6, -2, 5, 19, 14, -18],\n [8, 0, 11, 1, -17, -5, -20, 13, 7, -10],\n [-18, 20, 16, -11, -5, 7, 8, 1, -12, 17]]\nB =\n[[-9, 7, -16, -2, -9, -9, -20, -19, 7, -2],\n [10, -11, -20, -9, 11, -8, 3, 9, -15, 9],\n [14, 16, 7, 11, 20, 16, -16, 3, -16, 11],\n [-3, 10, -19, 14, 6, 7, -9, -19, -14, -1],\n [-19, -11, -8, -5, 7, 8, -10, -5, -13, 0],\n [-15, -10, 5, -9, -19, -1, 18, 7, 18, -14],\n [-5, -8, 8, 1, 17, 15, -19, 15, -7, 7],\n [-8, -17, -5, -19, 14, -1, -3, -13, 2, 2],\n [4, 20, 15, -18, -3, 8, 3, 8, -9, 20],\n [12, -8, -7, 13, 5, -13, 7, 17, -14, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35537", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, 9, 11, -2, -15, 20, 17, -14, -3],\n [10, -16, -15, -2, 15, -7, -11, 19, 7],\n [19, -11, 0, -18, -9, -16, 5, 6, -11],\n [17, -8, 5, 6, 20, -13, 2, 19, 0],\n [-20, -19, 4, 19, -9, 16, -5, -9, -9],\n [-14, 17, -12, 5, 17, -5, -4, 1, 16],\n [18, -19, 18, -2, 19, 2, 17, -18, 1],\n [20, -13, 17, -3, 8, 8, 10, 14, 10],\n [16, 8, 17, -3, 7, 5, 17, 17, -7]]\nB =\n[[17, 17, 9, 6, -7, -11, 12, 9, -20],\n [-2, -2, 19, -16, 4, 12, 0, 10, -7],\n [10, -5, 19, 4, -16, 4, 10, -6, -11],\n [18, 20, 20, -9, -7, 5, -14, -18, 5],\n [-19, 11, 18, -8, -19, -10, 16, 15, -3],\n [-6, 2, -7, 9, -12, 13, 4, 2, -10],\n [-15, -10, -9, 11, 19, -9, -4, 6, 9],\n [-12, -19, 4, 1, -4, 7, 15, 17, 10],\n [-9, -9, -1, -8, -9, 16, 15, 12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "741", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, -8, 19, 17, -17, -10, -17, 10, 10, -12],\n [-16, 3, -18, 15, 15, -10, -16, -19, 17, -8],\n [-9, -5, 17, -5, -10, -12, 3, 14, 17, 3],\n [17, 9, 14, 0, -4, 3, 6, 9, -8, -18],\n [7, 1, -3, 13, -11, 17, 0, 12, 3, -8],\n [18, 2, 10, 19, -11, -20, -19, -19, 4, 9],\n [-5, -1, -4, -15, 7, -15, -20, 3, -7, 6],\n [-8, 18, -7, 3, -12, 1, -16, 14, 7, 16],\n [9, -12, 5, 0, -17, -4, 13, 8, -2, 13]]\nB =\n[[-12, -10, -7, 7, 16, -2, 19, -11, 15],\n [-5, -6, -3, -15, 3, 2, 8, 2, 10],\n [6, 14, 6, 13, 4, -16, 0, -10, -2],\n [20, -5, -15, 20, 17, 5, 17, 7, 1],\n [-14, -20, 20, -8, -4, 20, 0, -20, -4],\n [-1, 9, -4, 6, 6, 20, -17, 20, 12],\n [-20, -10, -13, 14, 9, 16, 19, 3, -18],\n [10, 20, 17, -17, -17, -13, 15, -19, -18],\n [10, -11, 5, -19, -7, -19, -3, 6, -12],\n [11, -10, 0, 12, 12, -3, 3, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-625", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -15, 17, -14, -3, 1, 11, 16, -14, -1],\n [-8, 15, 8, 0, -19, 8, -2, 13, -13, 11],\n [-8, -3, -17, -3, -7, -13, -2, 3, -5, 16],\n [-20, -6, -12, -3, -17, -16, -14, -19, -18, -20],\n [-3, -14, -15, 13, 15, -16, 20, 0, 2, 14],\n [-20, 14, -2, 9, -15, 10, -7, -5, 8, 18],\n [19, -2, 0, 12, 9, -7, 10, 5, -3, -17],\n [15, -8, 16, -11, 16, 9, 20, -17, -11, 19],\n [19, 7, -19, 6, 8, -15, 2, -9, 20, -13]]\nB =\n[[-11, -4, -20, -18, 7, 15, 5, 4, 13],\n [-18, 7, 8, -8, 18, -1, 1, -8, -13],\n [-2, -16, -16, 13, 13, -10, 17, -14, -5],\n [-3, -15, -20, 2, 17, -13, -9, -16, 6],\n [0, 16, -8, -2, -8, 1, 11, -18, -12],\n [17, 2, 5, -14, -11, -16, -5, -12, 4],\n [18, 17, -6, 11, 14, 3, 15, 19, 20],\n [5, 16, 20, 2, -2, -10, -3, 7, -6],\n [19, 11, -6, 16, -18, 19, -9, -5, -16],\n [-16, 4, -10, 19, -11, 16, -13, -1, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28124", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[14, 8, 12, 6, -14, 2, 6, -16, -10, -12],\n [-20, 8, -16, -5, -7, 19, -4, -12, 11, 12],\n [-14, 18, 0, -6, 13, -17, -9, 13, 3, 0],\n [17, 20, 7, -18, -20, 19, -10, -1, -15, 18],\n [20, 15, 3, 9, -20, 5, -11, -1, -4, -5],\n [11, -12, 10, 6, 1, 0, 16, 4, -18, -18],\n [-17, 16, 13, -11, 10, 4, -19, -12, 9, 4],\n [10, 8, -7, 7, -13, 18, 16, 6, -12, -8],\n [20, -1, -5, -11, 4, -18, -6, -20, -6, -5],\n [-10, -20, -2, -11, -13, -1, -12, -14, -9, 2]]\nB =\n[[18, 20, 15, 5, 19, -11, 4, 9, 16],\n [12, 15, -18, 11, 14, -3, 9, -2, -9],\n [13, -17, 3, -14, -4, 18, 3, -5, 4],\n [-2, 5, 12, -7, 2, 10, -2, 9, 5],\n [-13, 1, 6, 9, 13, -19, -8, -11, 4],\n [12, 20, 6, 8, 6, 18, -5, 8, 14],\n [-5, -6, 6, 12, 4, 12, -9, -7, -11],\n [16, -9, 0, 15, -14, -9, -1, 13, 10],\n [-15, -17, -5, 19, 9, 11, 7, -18, -18],\n [6, 20, 8, -8, -10, -13, 16, 8, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33201", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[18, -14, -13, 17, 5, -19, 15, 14, -10],\n [3, 8, 2, -16, 3, -7, -4, 18, -20],\n [-9, 17, -5, 15, -18, 19, -16, 11, -4],\n [-13, -18, 12, -2, 20, -5, -18, 3, 5],\n [-10, 6, 16, -10, 13, -15, 18, -18, 15],\n [13, 15, -6, 12, 12, -16, -16, -18, 10],\n [7, -16, 9, -4, -5, -13, 11, -6, -6],\n [9, 19, 16, 19, 12, 4, -4, -18, -3],\n [-14, 4, -6, -11, -5, 5, 0, -11, -10],\n [-1, 13, 18, -1, -8, 2, -7, 7, 2]]\nB =\n[[19, -17, 13, 13, -2, 5, -10, 9, -3],\n [9, -3, -10, -19, -2, 0, -4, 13, -6],\n [18, 16, -1, -17, -4, 4, -13, 20, 6],\n [10, -13, 4, -12, -20, 15, 9, -7, -17],\n [5, -7, 19, 15, -18, -1, -15, 0, -10],\n [6, 9, -7, -3, -15, 20, 11, 12, -9],\n [-17, 15, -10, 15, -6, 3, 12, 7, 19],\n [-17, -9, -5, -9, 0, 5, -12, -1, 0],\n [-16, -10, -16, -5, -9, 16, 13, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-699", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 4) of the product of the following matrices:\nA =\n[[11, 12, 14, -17, -5, -11, 12, -9, -6, 10],\n [14, 2, 11, 4, -16, 20, -7, 10, -7, -7],\n [-15, 4, 7, -4, -17, 7, -14, -15, 16, 8],\n [7, -2, -7, -8, 8, 14, 20, -19, -19, 5],\n [-20, 7, 16, 13, 3, 8, 7, 13, 12, 17],\n [13, -16, 9, 1, -18, 8, 10, 9, 8, 10],\n [3, 20, 2, 17, 13, 3, 4, -19, -15, 20],\n [11, -8, -5, 5, -11, -17, -7, 3, 17, 16],\n [18, 2, -10, -13, -15, 13, 16, 12, -11, 15]]\nB =\n[[-14, -4, -1, 7, 3, 17, -12, 9, 18],\n [15, -4, -5, 13, -14, 6, -14, 11, -5],\n [-2, 5, -20, 9, -6, -18, -1, -2, 6],\n [-20, -8, 12, 3, -10, -16, 11, 14, -2],\n [-20, -6, -2, -17, 4, 15, -13, 5, 15],\n [-3, 7, 12, 15, -16, 15, 7, -4, -7],\n [8, -6, -18, -18, -2, 12, 15, 5, 18],\n [-5, 3, 8, 19, 6, -14, -12, 18, -17],\n [16, 13, -14, -17, -12, -19, 6, 11, -1],\n [0, -4, -8, 3, -15, 5, 11, -19, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-16, -7, -15, -1, 13, -4, -18, 12, -12],\n [-15, -12, -3, 19, -13, -4, 4, 4, -12],\n [-12, -17, -6, -11, -6, -4, 17, 16, -18],\n [-2, 0, 18, -20, 3, -3, -4, 11, 8],\n [-19, 20, -18, -14, 1, 17, -13, 14, -17],\n [0, 16, -6, 7, -16, 12, -17, -16, -18],\n [0, -15, -10, 4, -13, 7, -20, 5, 11],\n [-17, 3, 13, 3, 10, -12, -6, 8, -11],\n [-8, -19, -7, 20, -5, -17, 1, 9, 0]]\nB =\n[[19, -13, 15, -6, -11, 11, -5, -6, 18],\n [18, -20, -18, -4, -9, 14, -19, 14, -10],\n [6, -2, -1, -10, 7, -4, -9, -16, 18],\n [5, 2, 19, -9, -19, -14, -9, -10, 3],\n [0, 2, -9, 7, 13, 16, -20, -15, -17],\n [19, -8, -2, 0, 13, 4, 2, 2, -15],\n [-3, -18, 19, 13, -15, 13, -19, -6, 10],\n [12, -19, 8, -13, -17, -20, -20, 8, 17],\n [4, -3, -9, -10, -16, -14, 16, 14, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28952", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-12, -4, -18, 19, -4, 18, -8, -18, -2, 16],\n [-15, 13, 14, 18, -7, -9, 7, 18, -19, 18],\n [17, 4, 6, 13, 7, 6, -12, 8, -13, 18],\n [-19, -4, 18, 17, 15, -7, 2, -20, -20, -18],\n [19, 2, 7, -5, 8, 12, 11, 2, 12, 12],\n [17, -18, 13, 7, -13, -12, -16, 10, 14, 14],\n [-16, 12, -8, 4, 3, -10, -2, -10, 12, 9],\n [-7, -20, 10, -18, 4, 4, -3, 13, -7, 6],\n [10, -19, 11, 16, 13, 13, 9, 12, 3, 12],\n [5, 20, 15, 20, -15, -4, 3, -5, 3, -16]]\nB =\n[[3, 5, -1, 7, -1, 8, 13, 7, 5],\n [11, 0, -3, -9, 14, 1, 8, -2, -3],\n [-3, -5, -2, -12, 12, -8, -10, 12, 16],\n [9, 18, -12, 2, 3, 11, 17, -17, 20],\n [6, -10, 0, -7, -3, 3, -1, 20, 5],\n [10, -5, 20, 18, -2, -14, -5, 3, -15],\n [19, -5, 15, 18, -6, 19, -17, -19, -7],\n [1, -19, -1, -17, 13, -3, -1, 5, -14],\n [-2, 3, -10, -5, -20, 15, 7, -8, -10],\n [-15, 9, 16, 13, 7, -12, 10, -15, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30549", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[15, -1, 19, 11, 11, -16, 17, 16, -11, 16],\n [-19, -14, -10, -20, -7, 0, -15, 5, -4, 5],\n [-14, -20, -6, 10, 15, -15, -2, -15, 9, 14],\n [-4, -5, -11, 15, -3, -11, 16, -17, -13, 3],\n [13, -9, 3, 6, 17, -4, -5, 20, 6, 14],\n [5, -15, -20, 15, -2, 13, -15, -16, 18, 10],\n [18, -14, -16, 14, 7, 6, -15, 19, -3, -4],\n [-20, -2, -16, -11, -11, 3, -19, -10, -17, 2],\n [-14, -6, 2, 14, -10, 18, 10, -19, -11, -16]]\nB =\n[[-9, -3, 7, -13, -17, -4, 8, -12, -7, 19],\n [-12, 17, -12, 20, -10, 1, 20, 6, 9, -15],\n [12, 1, 5, -15, 12, -11, 16, -20, -6, 2],\n [-9, -3, -5, 6, 7, -12, -1, 12, 5, 8],\n [8, -20, -4, -4, 11, -4, 16, -9, -10, 7],\n [0, -19, -1, -1, 15, 12, -4, -4, -2, -16],\n [-7, -7, 18, -5, -17, -11, 3, 9, 10, 3],\n [6, 11, -13, 8, -5, -16, -1, -6, -6, -1],\n [-12, 7, 18, -14, 2, 3, -5, 1, 2, -2],\n [-9, 5, 12, 20, 18, -19, -4, -10, -16, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33436", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, 20, -1, 6, 6, 9, 13, 3, -9, 8],\n [-12, -7, -2, 20, 9, -10, 1, 11, 15, 16],\n [-16, -2, 16, 19, -1, 2, -6, 12, -18, -1],\n [-16, 15, 1, -4, 18, -4, -15, -5, -19, -6],\n [-15, 20, -19, -18, -16, 5, 1, 16, -11, 3],\n [17, -6, 17, -8, 11, -16, -8, -10, 13, 13],\n [-12, 6, 9, 14, -18, 3, 19, 8, -9, 16],\n [-1, -19, -13, -5, 6, 12, 3, -8, 2, 7],\n [-9, -19, -8, -7, 5, 1, 13, -20, -17, -5]]\nB =\n[[-12, 17, 10, 1, -19, -15, -6, -3, 19, -13],\n [7, 6, 6, 6, -11, 13, 11, -9, 5, 6],\n [-9, 16, 10, 12, -20, -8, 9, 1, -11, -6],\n [-14, -19, -19, -1, -14, 8, -16, -17, 19, -7],\n [-20, -5, 3, 3, -19, -7, -17, -6, -19, 4],\n [15, 12, -19, 6, -12, -20, -11, -6, 18, -14],\n [-20, -6, -20, -15, 0, 5, -14, 9, 12, -4],\n [18, 16, 18, -12, -17, -4, -17, 20, -20, -11],\n [0, 11, 9, -10, -1, 19, 7, -12, -1, -15],\n [4, 16, -14, -13, 15, -14, -1, -16, 16, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4069", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, 2, 16, 7, 16, -15, 6, -13, 13],\n [16, 20, 5, -16, -1, -17, -2, -16, 16],\n [-20, -11, -13, -10, -16, -4, 3, -15, 5],\n [-18, -4, 15, -13, -12, 2, -1, 16, -6],\n [-7, 1, -6, 16, -9, 0, 19, -13, 1],\n [19, -14, 17, -17, -15, 9, -20, 3, 11],\n [1, -8, 16, 7, -18, -15, -19, 14, 0],\n [0, 10, -7, -13, 7, 11, -5, 16, 10],\n [17, -10, -20, -20, 18, 6, -4, -6, -6],\n [-19, -7, 3, 17, 16, 3, 11, 1, -9]]\nB =\n[[-10, 8, -18, -17, -2, 14, -9, -11, -11, -11],\n [-4, 2, -6, -8, -6, -13, -14, -5, 17, 4],\n [-20, 20, 8, -18, 7, 2, -6, 11, 4, -1],\n [-13, 1, 4, 16, -11, -5, -18, 6, 10, -3],\n [-2, -19, 0, -6, -10, -14, -6, 12, 14, 17],\n [-10, -20, 0, 9, 6, -3, 12, -20, -1, 8],\n [-8, 18, 18, 13, 2, -8, -19, 7, -17, 18],\n [11, -10, 11, 4, -16, -6, 16, 9, -17, -17],\n [-13, -7, -4, -10, -15, 10, -9, 20, 17, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3404", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the product of the following matrices:\nA =\n[[-16, 8, 9, -8, -8, 8, -16, -7, 1, -4],\n [-2, 20, 15, -9, 4, 2, -4, 14, 18, 3],\n [17, 19, -9, 17, -7, -7, -11, -20, 2, 7],\n [-14, 11, -10, -12, 3, 19, -17, -4, 0, 4],\n [12, -18, -17, -8, 8, 15, -15, 14, -7, -20],\n [-14, 10, 17, 20, -1, 8, 6, 1, -6, -18],\n [-8, 10, -10, 10, 14, 9, 15, 2, -6, 17],\n [19, 17, -18, 2, 0, -16, 4, -11, -9, 11],\n [1, 10, 13, 9, -3, -10, 14, 7, -3, -20],\n [13, -19, -16, -14, -3, 1, 8, 7, 18, 0]]\nB =\n[[-7, 4, -20, 0, 11, 9, -13, 17, 15, -17],\n [3, -12, -20, 6, 12, 8, 15, -16, 8, -12],\n [14, -16, 15, 18, 14, -7, -19, -14, -6, -9],\n [17, 10, 19, -12, 1, 9, 17, 3, 7, -5],\n [-4, -6, -9, 12, 7, -17, 0, 0, -16, -9],\n [-13, -9, -10, 10, -8, 11, -6, 9, -15, -13],\n [-6, 10, -7, -12, 7, -2, -12, -7, 14, 7],\n [14, 0, -18, -4, -20, -12, 10, 13, 6, 10],\n [15, 13, -5, 2, 1, -17, -18, -6, 12, -13],\n [-7, 15, 17, -7, 15, 7, 10, -20, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1570", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -7, 16, -15, 9, -4, -8, 17, -5, 7],\n [-9, 15, -5, -9, -20, -2, -15, -15, -3, 7],\n [-9, 10, 6, -13, -10, -14, 1, -1, -2, -19],\n [6, 4, -10, -12, 5, 10, 20, -10, -9, -11],\n [5, -12, -3, 4, -3, -7, 6, 1, 15, -4],\n [-9, -7, -15, -11, -7, 1, -18, -13, 17, 15],\n [-16, 13, -20, -16, -8, 5, 13, 10, 17, 1],\n [7, -11, -1, -9, -3, 16, 16, -12, 6, -4],\n [-19, -20, -6, -9, -3, 3, 12, 15, 10, -1],\n [17, 7, -10, 6, -13, -8, 0, -18, 16, -14]]\nB =\n[[-6, -16, 13, -2, 12, -18, -16, -2, -19],\n [-15, 18, -7, -17, -1, -20, 13, 8, 18],\n [9, -10, -1, 16, 0, 4, 15, -17, 2],\n [-15, 5, 7, 3, 19, 12, 5, 5, 4],\n [9, 17, 15, -1, 15, -16, 11, 9, 6],\n [3, 0, -20, -5, -7, -11, 7, 15, -2],\n [-9, -3, -6, -2, 19, -3, 7, -4, 0],\n [7, -5, 5, -2, -20, 8, 1, 11, -3],\n [15, -14, -13, -8, -15, -7, 19, -20, -1],\n [-2, 2, -14, 2, 4, 18, -14, 12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8905", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 12, -17, 19, 5, 14, 2, 7, 14],\n [1, 15, -13, -15, 19, -19, -9, 8, -10],\n [-2, -18, 0, 5, 6, 8, -7, -20, -2],\n [15, -15, -8, -2, -17, 3, 16, 20, 11],\n [1, 11, -4, 17, -7, -8, 2, 0, 6],\n [-15, -9, -11, -2, -9, 16, 20, -10, -9],\n [-15, 5, -9, -18, 4, 20, -17, 2, -20],\n [-17, -4, -12, -3, -4, -4, -2, 19, 0],\n [13, 10, 7, 1, 15, 13, -10, -14, 1],\n [0, 18, -10, -14, -18, 18, 15, -3, -14]]\nB =\n[[9, 6, 20, -19, -3, 0, 9, -11, 4],\n [19, 17, -2, -8, 16, 4, -16, -17, -3],\n [15, -9, -4, 17, 0, -6, -4, -4, -7],\n [8, 12, 14, -6, -4, -9, -16, -6, 20],\n [14, 13, -1, -19, 5, -20, -16, 11, -19],\n [5, -11, -5, 6, -8, 3, 0, -16, -7],\n [-3, 18, 8, 20, -3, -12, -6, 20, -20],\n [-5, 14, -6, -3, 15, 17, -1, -9, 14],\n [-10, 0, -5, -18, 13, 3, -5, 16, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1566", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-20, 3, 3, 18, -7, 13, 16, -10, -18, 6],\n [8, 2, 0, -13, 15, 0, 3, -9, -2, 18],\n [-2, 14, 15, -16, -10, -15, 4, -9, -5, -6],\n [-20, 13, 13, 19, 10, -11, -12, -15, 9, 0],\n [8, 5, 14, 2, 4, 13, -12, -13, 12, -1],\n [-4, -5, -6, -8, -16, 17, -7, -3, 13, -10],\n [13, 20, -5, 19, 1, 14, 3, -3, -19, -4],\n [13, -20, 3, 6, -7, 19, -19, -10, 11, -16],\n [5, 17, -14, 14, 7, -9, 4, 14, 10, -7],\n [9, 18, 1, 12, 9, 3, 2, -13, -20, -16]]\nB =\n[[-8, 11, 4, 19, 4, -15, -9, -5, 5, 5],\n [1, 6, -5, -12, -9, -18, -7, -7, -2, 2],\n [4, -1, -11, 0, -14, -7, -12, 12, -20, -5],\n [15, -10, 3, -16, -16, 5, -11, -5, 9, -15],\n [1, -20, -3, -4, -3, 14, -2, -12, -7, 18],\n [-12, -14, -4, -17, -17, 4, 18, -8, 19, -7],\n [17, 6, -10, -14, 7, -5, 7, 10, 1, -12],\n [16, 10, 10, 0, -16, -2, 0, 9, 16, -8],\n [-20, -15, -2, 2, 9, -2, -7, -14, -11, 11],\n [-7, 19, -4, 18, -7, -19, -8, -8, 20, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 9, 10, 3, 7, -11, 8, 13, -2, -4],\n [13, -7, 7, -10, 17, 19, -14, -3, 12, -10],\n [20, -1, 18, -3, -6, 14, -17, 17, 14, 18],\n [7, 17, 3, -15, 9, 13, -16, -10, -12, -8],\n [-4, -13, 6, -19, -2, 18, 10, 1, -10, -7],\n [-5, 9, 13, -7, 11, 14, 15, 5, -9, -13],\n [4, 2, -16, -8, -5, 10, -14, 18, 11, 18],\n [12, 9, -5, 17, 4, 11, 4, 15, 15, 19],\n [-18, 15, -12, -3, 18, 12, -8, -9, -18, -5]]\nB =\n[[11, -1, 14, -1, 9, -5, 19, 16, 12],\n [5, -5, 8, 14, 10, 6, 7, 5, 5],\n [-3, -16, -16, 9, -14, -12, -10, 8, 15],\n [14, 13, 18, 5, -8, -2, -11, -10, 9],\n [15, -17, 16, 9, 11, -11, 9, 10, 20],\n [2, -10, -8, 18, 3, 2, 12, 5, -2],\n [18, 0, -11, 8, 20, 14, -5, 14, 13],\n [13, 16, 0, -7, -15, 0, -3, -14, 18],\n [17, 4, -2, 10, 3, 11, 10, 8, 13],\n [-17, 20, 7, 0, -19, 1, -5, 17, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29294", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -4, 6, -15, -17, -17, 2, 1, 3, -16],\n [15, -18, 16, -9, 2, -5, 15, -13, -19, 8],\n [3, 13, 15, -14, -7, 2, -15, -20, 16, -3],\n [15, 6, 7, -6, -14, -20, 13, -17, 11, -1],\n [-12, -15, 20, 0, 19, -5, -20, 15, 19, -3],\n [19, -12, 0, -12, -9, 16, 3, -16, -8, 14],\n [15, 5, 10, 0, 2, -10, 19, -14, 15, -2],\n [0, 9, -14, -11, 0, 2, 6, -6, 18, 8],\n [8, -5, 9, -14, 7, 0, 9, -19, -7, 15],\n [-17, 14, 16, -19, -1, -15, 11, 18, -3, 10]]\nB =\n[[-16, -8, -20, -15, 18, 13, -5, 5, -8],\n [-17, 15, -11, -11, 6, -6, 14, 5, 13],\n [6, -17, -9, 20, 2, 9, 12, -5, 7],\n [-17, 2, -15, -4, 12, -14, 16, 8, -18],\n [-2, 9, 20, 17, 11, -16, -3, 0, -3],\n [-20, -8, 19, -9, 20, 5, 15, -1, -6],\n [-20, -8, 4, -10, 6, -4, 1, 8, 17],\n [-9, 18, 20, -11, 11, -9, -19, -19, -2],\n [19, 15, -15, -6, -15, -19, 17, 19, -8],\n [1, -8, 17, -7, -7, -4, -1, -18, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3030", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-16, 6, 16, 4, -15, -19, 16, 19, -6, -11],\n [1, -11, 15, 9, 1, -19, 13, 7, -17, 0],\n [-4, 20, -1, 11, 19, -12, -18, 12, 18, 15],\n [-7, -14, 7, -6, 9, 6, -18, -11, 17, -4],\n [1, -4, 8, 15, 9, 11, 3, -19, 17, -14],\n [-9, -1, -17, 20, 20, -19, 17, 9, -17, -1],\n [4, 16, 9, 14, -11, -8, -17, 1, -10, 16],\n [-7, -11, 3, 10, 8, -2, 17, -19, 4, 1],\n [-20, -13, 20, 18, -19, 15, -12, 7, -14, -7]]\nB =\n[[-3, 19, 20, 11, -20, 2, 19, -10, 11, 3],\n [-16, 14, 0, -1, 9, 1, -11, -15, -8, 15],\n [-9, -14, -2, 1, -16, -19, -10, -16, -16, -13],\n [-18, -8, -2, -19, -19, 13, 15, -6, -16, 12],\n [-11, 7, -19, 17, -9, -15, 11, -17, -11, 2],\n [-16, -11, -7, -16, -16, 20, 15, -11, 13, -7],\n [14, 19, 3, 7, 7, -1, -16, -16, 14, -13],\n [9, 16, 9, 12, 9, 12, 2, 6, 14, -10],\n [-1, -14, -15, 8, 12, -13, 3, 1, 20, 1],\n [0, 0, -15, 4, 11, 14, -12, 4, 18, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13137", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[17, -13, 18, 18, 13, 8, -19, -1, 2, 10],\n [6, 0, 20, -17, 20, -5, -12, 17, 10, 2],\n [-9, 19, -19, 8, -2, -7, 2, -16, 7, -1],\n [-11, -10, -9, -14, 3, -16, 2, 2, -13, 13],\n [13, 17, -19, -19, -19, 10, 15, -13, -13, 13],\n [0, -6, -1, -16, -8, -5, 17, -18, -20, 19],\n [-15, 18, 6, -20, 3, -8, 9, 1, -20, 8],\n [5, -13, 16, 2, 2, 13, -19, 16, -3, -2],\n [-8, 8, -19, -13, -1, -11, 3, 3, 6, -1]]\nB =\n[[-2, -2, -2, -18, -20, 11, 16, 9, 18, 16],\n [3, 2, -11, 5, -5, -20, -14, -8, 15, 18],\n [0, -1, -1, -11, -20, 6, 12, -7, -2, 6],\n [20, 3, -10, 10, -9, 5, 0, 13, 17, 16],\n [-18, 4, -15, 2, 18, -13, -16, 15, -2, 5],\n [17, 16, -3, -12, 11, 2, 18, -5, -19, -14],\n [-15, 5, -17, 9, 8, 17, 18, -20, 12, 5],\n [7, 8, 15, -18, 18, -8, -19, -12, -16, -19],\n [3, 4, -16, 11, 9, -7, -4, -11, 13, -2],\n [-1, -9, 16, 5, -10, -11, -12, 6, -11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5916", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-16, 7, 7, -11, -11, 15, -13, -6, -14],\n [-10, 11, 8, -14, -8, 18, 14, 5, 4],\n [-8, 20, -8, 20, -12, 18, 9, 2, 4],\n [6, -15, -13, 18, 14, 12, 2, 14, -17],\n [-8, -4, 19, -9, -7, 17, 11, -20, 14],\n [12, -11, -7, -11, -20, 3, -13, 17, -3],\n [-16, 19, -6, -16, 1, 6, 13, 14, 4],\n [-19, 2, 0, -16, 6, -3, 13, 15, 17],\n [6, 7, -6, 4, -2, -4, 12, -20, 6],\n [-11, 18, -11, 11, 0, -13, -12, 15, -3]]\nB =\n[[-16, 1, -7, 11, 11, -9, -16, 7, 7],\n [8, 13, -4, -7, 19, -5, 0, 6, -7],\n [-19, -14, -2, 1, -3, 8, 3, -13, 14],\n [14, 15, 17, -11, 11, 15, 9, -6, -5],\n [17, 2, -6, -15, -14, -6, 3, -18, -7],\n [0, -12, 20, -9, 3, 20, -1, 14, 14],\n [13, 7, -16, -3, -12, -15, -14, -20, 9],\n [1, 12, 15, -16, 6, -1, 13, 15, 0],\n [-6, -3, 1, 18, -15, -5, 7, 9, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 5) of the product of the following matrices:\nA =\n[[-11, -11, -18, 20, -3, 1, 8, -13, -13, -18],\n [9, -11, -13, -14, 17, 18, -2, -7, 12, 7],\n [-1, 19, -20, 5, -11, 11, 11, -1, 15, 9],\n [13, 12, -7, 1, 7, 9, -13, 7, 0, -12],\n [-5, 7, -20, 16, -16, -9, -11, -3, -6, -19],\n [-5, 19, -12, 8, -5, -9, -7, 19, 17, 12],\n [4, 2, -14, 12, -14, 0, -10, -3, -10, 0],\n [-2, 6, -9, -19, -15, 18, -7, 4, 18, -6],\n [3, 0, 12, -1, -15, -13, 10, -14, 15, 7]]\nB =\n[[16, 13, 3, 15, -15, 3, -9, 10, 9, -2],\n [1, 8, -2, 1, -10, 15, -2, -17, -6, -15],\n [0, -20, -17, -5, 8, 5, 11, -1, -20, -4],\n [-17, 15, 15, -1, -3, 18, -17, -8, 5, -12],\n [0, -5, 5, 17, 9, 5, 13, -1, 2, 20],\n [11, 9, 5, 3, -18, 3, 20, 10, 1, 1],\n [-12, 2, 2, -1, 6, 6, 8, -17, -6, -14],\n [-1, -12, 8, -10, -19, 3, -19, 20, -9, 1],\n [-16, -5, -14, -13, -1, 6, -4, -3, -4, -9],\n [10, 13, -18, -15, -13, -5, -5, 8, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-562", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-11, 2, 12, 9, -2, -12, 12, 4, -17],\n [16, 19, -1, 18, -14, 18, -15, -14, -15],\n [-19, -10, 3, -15, 3, -19, 19, -6, -14],\n [5, 12, 13, -10, 2, 4, -9, 2, 12],\n [0, -12, 20, -7, 6, -12, 6, -11, -17],\n [18, -19, 19, 3, 15, -11, 16, 1, -2],\n [-16, 8, 11, -5, -18, 12, 19, -10, 19],\n [-12, 7, 8, 8, 18, 20, 16, 15, -5],\n [16, 13, 16, 8, 2, 2, 15, -8, -6]]\nB =\n[[6, -15, -20, -20, -18, -13, 10, 11, 6],\n [-5, -5, 19, 12, -5, 15, -14, 8, 19],\n [7, 18, -5, -19, 8, 15, -16, -8, -15],\n [-13, -12, -4, -19, 14, -11, 13, -17, 14],\n [18, 3, -2, -14, 9, 2, -15, -16, 6],\n [1, -8, -10, 0, 11, -15, -9, 17, -14],\n [-10, 7, 8, 19, 6, 11, -12, 19, -1],\n [2, 16, 11, -19, -12, -9, 13, -2, 6],\n [-18, 19, 17, -2, -20, 10, -7, 12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1743", "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, 16, 0, -15, 20, -2, -7, 18, -3, -19],\n [17, -1, -19, -18, 18, -3, 0, 9, 2, -12],\n [-18, 5, -1, 2, 12, 16, 2, 17, 16, -16],\n [-7, 17, 2, 18, -9, -4, -8, -5, 6, 3],\n [16, -12, -4, 2, -9, -17, -16, 10, -14, -10],\n [-9, 17, -20, -13, -4, 0, -17, 7, 16, 10],\n [1, -12, 5, 12, 15, 16, 3, -17, -12, -6],\n [12, -16, 5, -18, 11, 0, -20, 5, 6, 15],\n [12, 0, 9, 0, -5, 16, -12, 8, -1, -13]]\nB =\n[[-7, 17, 20, -14, 20, -4, -11, 16, 4, 2],\n [19, 15, 20, -3, 9, 18, -15, -6, 3, 8],\n [-5, -12, -15, -7, -4, -10, 7, -14, 12, 8],\n [8, -19, 9, -2, -11, -20, 14, -4, 13, 13],\n [16, -5, -16, -8, -20, -5, -13, -15, -8, -12],\n [18, 13, -12, -19, -9, -16, 2, -13, 9, -9],\n [-18, 9, -1, 18, 11, 18, 4, 13, -7, 15],\n [11, 17, -8, -9, 12, 12, 20, 20, 16, -17],\n [-5, -3, 7, -16, -13, 17, -4, -2, 20, 20],\n [12, 1, 5, -6, 12, -11, -16, -5, 20, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34600", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -6, 17, 1, -18, -3, 1, 11, 15],\n [-16, -20, 7, -15, 2, 2, -20, -6, -12],\n [-7, 5, -4, -1, 17, 16, -14, 7, 10],\n [15, -18, 13, -16, 9, -13, -14, -7, -4],\n [-6, -14, -12, -16, 13, 10, 16, 2, 15],\n [10, -1, -1, -14, 9, -10, 13, 16, -20],\n [17, 12, -1, 19, -10, -19, -17, 13, 17],\n [1, 11, 11, 1, -16, -16, 7, -7, -16],\n [0, -18, -9, 12, -2, 19, -14, -9, -10],\n [-6, 16, 1, 10, -18, -16, 12, -7, -10]]\nB =\n[[-1, 10, -5, -12, -16, -3, -1, 7, -2],\n [-8, -3, -3, -8, -10, -16, 15, -9, -2],\n [0, -16, 12, -20, -10, 14, -16, 4, -10],\n [1, -15, 19, -20, -8, -2, 1, 8, 9],\n [-18, -14, 8, -15, -11, 10, -13, -15, -14],\n [-15, -2, 6, -19, 1, 18, 15, 12, -9],\n [8, -12, 20, 2, 5, 7, -13, -10, -10],\n [10, -8, -5, -10, 17, 12, 14, -3, 10],\n [10, -10, 17, -14, 9, -3, 17, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27191", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -1, -18, -12, 1, 13, 13, -2, 17, -17],\n [-18, 5, -19, -2, 1, -15, 20, 11, 17, -16],\n [-3, 17, 14, 18, 18, -1, -5, -7, 18, 18],\n [3, -13, 1, 14, -15, -19, -20, -6, 8, -13],\n [13, -9, 5, -3, -13, 18, 17, 19, -12, 18],\n [11, -11, 15, 3, -13, 4, 5, -9, 5, 14],\n [3, -5, 20, 17, -15, 19, 18, -3, 15, -8],\n [13, 18, 1, -14, -3, 0, 6, -13, 11, -16],\n [-7, -19, 18, 3, -8, 1, -10, 20, -2, 9],\n [-17, 7, -10, -17, -5, 5, 7, 10, -14, -5]]\nB =\n[[6, 17, -8, 1, 16, 2, -2, -15, -9],\n [-10, -9, -13, -10, -11, 8, -6, 13, -20],\n [18, -15, 8, 6, 13, -8, 18, -3, -7],\n [0, 11, 10, 15, 8, 3, 8, -11, 15],\n [-18, 3, 16, 1, -7, -19, 1, 3, -3],\n [-3, 15, 9, 16, -19, -2, 15, 17, -8],\n [-6, 5, 3, 12, -18, 19, 16, -12, -6],\n [4, 18, 19, 10, -4, 5, 17, 10, -6],\n [-14, -1, -11, -16, -5, -12, 10, -18, -20],\n [5, 6, 8, 11, 7, 9, 5, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -14, -20, 19, 2, -19, -10, -14, -7],\n [-8, -20, 20, 6, -18, 16, 6, 19, -7],\n [8, -1, 16, 20, -3, 1, 9, -9, 13],\n [5, 15, 15, -3, 4, -16, 6, 16, -9],\n [18, 1, -10, -11, 15, 17, -3, -10, -5],\n [4, -18, -19, 6, -10, -15, 7, -18, -6],\n [-15, -6, 15, -4, 9, 19, -15, -10, 16],\n [-13, -4, -20, -20, 18, 9, -1, 2, 10],\n [2, -16, -15, 15, -4, 16, 6, -11, 7],\n [20, -19, -14, -13, 15, 12, -20, 10, -9]]\nB =\n[[3, -5, -4, -10, 14, 4, 15, -17, -8],\n [16, 18, -17, -17, -13, -12, -7, -17, 15],\n [2, 17, -1, 9, 10, -19, -5, -10, -1],\n [-15, 17, 5, 1, -6, -16, -16, 18, -13],\n [-12, 7, 3, -5, 19, -1, -9, -9, 6],\n [13, 5, 20, 17, 10, 8, -4, -8, 8],\n [-3, 18, -12, -2, 9, -16, -13, -10, -12],\n [6, -8, 20, 1, -10, -2, 3, 8, 4],\n [8, -13, -8, -11, -7, 3, -5, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4836", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-19, 13, 19, -6, 15, -8, -16, 14, 9, 0],\n [-13, -14, -9, -6, -2, 18, -20, 9, -4, 3],\n [16, 8, 20, 6, 7, -10, 19, -16, -2, 7],\n [7, -14, 20, 15, 6, 1, -10, -11, 19, 3],\n [16, 3, 12, -8, 16, -14, -1, 5, 3, 8],\n [5, 11, 19, 19, -4, 12, 14, 18, 10, -1],\n [-5, -15, -9, 18, -4, -20, -13, -14, -11, 3],\n [5, -18, 13, 13, 2, 14, -6, -20, -12, -12],\n [11, -2, 6, 6, -10, 19, 6, 1, -7, 1]]\nB =\n[[-15, 5, -18, -19, 17, 14, 3, 2, -9],\n [-17, 9, -9, 10, -7, 11, 10, -20, 16],\n [0, -14, -5, -3, 0, -13, 16, 0, -11],\n [-14, 15, 14, -15, 8, 15, -20, -6, -8],\n [-12, 15, -9, -12, -14, -8, -4, -16, -15],\n [19, 6, 17, -13, -20, 14, -20, -7, 0],\n [-3, 6, -9, 14, 17, 15, -13, 18, -14],\n [-18, -13, 9, 19, 19, 7, -17, -18, -2],\n [-2, 0, -16, 10, 4, 8, -4, 0, -19],\n [-9, -18, 15, 8, 6, -6, -9, 13, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-743", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 16, 16, -11, -3, -4, -14, -18, 16, 20],\n [13, 0, -14, 2, -17, 2, 9, -10, 4, -10],\n [-11, -17, -15, 11, -17, -12, -11, 7, -8, 11],\n [17, -4, -3, -14, -7, 11, -11, 6, 20, 20],\n [-15, -20, 12, -11, -3, -5, 19, -10, -2, 7],\n [-20, 17, 3, 10, 10, -10, -8, 17, -17, 4],\n [19, -4, -15, 3, 15, 6, -12, -6, -3, 4],\n [-7, -14, 8, -19, 18, -17, -13, -13, 2, 7],\n [13, -17, 3, -13, -20, -5, 10, 3, 5, -9],\n [-3, -6, 15, 5, 17, -11, 3, 0, -14, -15]]\nB =\n[[12, 0, 0, -12, 9, 7, 0, -11, -14],\n [2, 17, 4, -6, 6, -18, 18, -3, -12],\n [-16, 4, -6, -6, -5, 17, 3, 16, -7],\n [10, 10, 0, 1, 0, 12, 12, 15, 10],\n [-5, 9, -5, -10, 15, 16, 5, 16, -9],\n [-17, 2, 12, 16, 2, 11, -2, -1, -14],\n [11, -14, 19, -15, 11, -12, 5, 6, -3],\n [3, 14, 3, -1, -5, -2, -12, -4, -11],\n [-18, 19, -3, -10, 6, -17, 14, -19, -11],\n [-1, 10, 16, -4, 6, -16, -3, -1, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3952", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 9) of the product of the following matrices:\nA =\n[[17, 20, -2, -12, -3, 16, -18, 7, -18],\n [-8, -9, -16, -5, -2, -12, 6, -11, 4],\n [-9, -12, 6, 17, 5, 12, 7, -4, -2],\n [4, 19, 2, -2, -5, 4, -4, -8, -12],\n [7, 10, -14, -14, 15, -12, -2, -9, 15],\n [6, 13, 5, 17, 1, 0, -14, 17, -14],\n [10, 16, -7, 11, 5, -13, -7, -6, -4],\n [-3, 5, -5, 17, 17, -16, 16, -3, 19],\n [11, -6, 5, -18, -20, -4, -11, -6, 17],\n [-18, -4, -16, 9, -1, -4, -11, -16, -15]]\nB =\n[[6, 20, 2, 10, -4, -15, 17, 18, -20],\n [16, -9, -16, -18, 18, -18, -17, -16, 2],\n [15, 19, -12, -5, 10, -1, 11, 8, -11],\n [16, 5, -15, -11, -3, -6, 0, -9, -7],\n [13, 1, 4, 12, 15, -20, -15, -1, -15],\n [6, -10, 3, 20, -1, 2, -16, 10, -18],\n [10, 8, 13, 10, -8, 2, -10, 4, 9],\n [-4, 0, -19, -5, 1, -4, 20, 14, -19],\n [4, 5, 10, 12, -3, 3, -7, 3, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "472", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-16, 5, -19, -9, 14, 14, 8, 11, 9, -5],\n [17, -19, -3, -12, -20, 1, 0, -3, 6, -4],\n [-11, 10, 5, -17, -5, -10, -20, 14, -6, 11],\n [-11, -15, 2, 5, -16, 3, -8, -7, -2, -19],\n [5, 10, 10, -1, 6, 19, -2, 7, -7, 20],\n [-15, -9, -14, -5, 18, -2, 14, 10, 17, -13],\n [-11, -4, 17, 9, -1, 16, 6, 7, -19, 3],\n [10, -19, 7, 16, 11, -14, -11, -17, -2, -8],\n [10, 15, 10, 2, 10, -5, 1, -12, 0, -20],\n [-6, -14, 6, 12, -3, -15, 3, 5, -13, 19]]\nB =\n[[-14, 13, 9, 0, -9, -6, -1, 13, -9],\n [-15, 20, 14, 7, 4, 18, -16, 3, 8],\n [8, -9, -13, -19, 19, 10, -19, -4, 0],\n [20, -9, 19, -18, -18, 4, 3, 19, 10],\n [-18, -11, 7, 12, 1, -4, 20, -17, -3],\n [1, -16, -5, -9, 13, 20, -16, -18, 11],\n [-20, -19, 14, -13, -18, 3, 16, 3, 2],\n [1, -19, -8, -12, 2, 4, 1, 20, 13],\n [-1, 20, -4, 19, 7, 20, -6, -7, -12],\n [-15, 1, -20, 17, 11, 4, 6, -6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2944", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -16, 12, 20, -6, 8, 15, -7, -1, 8],\n [-14, -18, -11, 2, 15, 4, 11, -5, -9, -2],\n [-13, -19, -15, 15, 5, 8, -17, 13, 6, 15],\n [-17, 12, 8, 4, 19, 5, -12, 6, 12, -14],\n [11, -4, -19, -19, 7, 14, -2, 15, 17, 2],\n [-17, 5, -6, -12, 13, 12, -8, -14, -14, 19],\n [-4, 5, 17, 14, -17, -5, 19, 11, 3, -1],\n [-13, 18, -18, -13, 13, -7, -1, 0, 16, -18],\n [-12, 5, -2, -4, 11, -18, 3, -9, -5, -8],\n [4, 9, 18, -8, 11, -17, 17, -16, 6, -11]]\nB =\n[[-1, 19, 19, -17, -11, -20, -18, 0, 19, -10],\n [13, 16, 4, -15, -1, -1, 17, 19, 13, -14],\n [8, -19, -17, -4, 0, -18, 20, 5, 0, -1],\n [19, 7, -14, 2, -4, 10, -13, 20, 16, -13],\n [-8, 2, -6, 4, 0, 7, -14, 4, -11, 20],\n [6, -3, 9, 10, -6, -6, -17, 15, -15, 1],\n [-17, 2, 10, 5, -10, 0, -7, 6, -11, -13],\n [-17, -14, 8, 4, 17, -20, -5, -18, 12, -14],\n [19, -6, -13, 4, -20, -11, -5, -9, 4, 2],\n [-7, -13, -13, 5, -19, -12, 20, -1, 17, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 17, 7, 10, 7, 13, -19, -18, 16, 10],\n [-5, 8, -14, 17, -10, -3, 5, -8, 15, -19],\n [12, 7, 1, 2, 2, 16, 18, 10, 2, -13],\n [10, -4, 13, 2, 18, 20, 4, 7, -6, 0],\n [-15, -13, 12, 0, 0, -11, 19, -17, -12, 9],\n [7, 9, 2, 3, -11, 17, -2, 12, 4, 0],\n [-1, -5, -19, 15, 16, -10, -14, -1, 20, -14],\n [-10, 20, 6, 12, -13, -13, -20, 11, 10, -18],\n [0, -16, 17, -7, 3, 11, -5, -8, 3, -12]]\nB =\n[[-5, 19, 4, -6, 9, -8, 0, 17, -6, -20],\n [-5, 8, 2, -2, 14, 6, 13, -14, -9, 19],\n [-11, 1, 12, -9, 7, 0, 19, 17, -6, 11],\n [-15, 12, -2, 13, 9, 6, 5, 2, 7, -17],\n [-10, 0, -12, -9, 17, -20, -9, 2, 20, -15],\n [11, 18, 7, -11, -5, -1, 1, 3, 9, -7],\n [5, -13, 5, 1, 19, -9, -12, 9, 16, -3],\n [19, 14, -1, -9, 20, 16, 18, 9, -18, -13],\n [7, 18, -20, -4, -6, -4, -9, 19, -2, 4],\n [17, -18, 3, -18, -9, -13, 11, 1, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4783", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -7, -5, 13, -3, 14, 4, -7, 15, 19],\n [-18, -19, 17, 1, 4, 5, -13, 6, 4, 17],\n [8, 20, -2, -15, -20, 12, 9, -5, -3, -6],\n [16, 8, -5, -5, 0, 3, 14, -6, 15, -6],\n [-6, 17, 0, -20, 4, 20, 4, -3, -17, 2],\n [4, 9, 10, 1, -7, 7, 17, 13, -4, -9],\n [15, 16, 12, -18, 9, 4, -12, -19, -7, 3],\n [20, 8, 2, -8, 5, 1, 19, 2, 10, 9],\n [5, 17, -16, -15, -20, -1, 6, 12, 0, -10],\n [-20, -7, -2, -18, -6, 8, -20, -3, 9, -11]]\nB =\n[[6, -18, -5, -11, -13, 7, 18, 8, 20, -8],\n [5, -17, 13, -3, 1, -10, -12, 13, 20, -3],\n [1, 20, -11, 7, 2, -18, -14, -13, 11, -20],\n [4, 5, 14, -8, 7, -10, -9, 7, 4, 8],\n [-20, 19, 2, 4, -4, -14, 9, -15, 10, -13],\n [8, 4, -12, 10, 17, 8, -5, 16, -13, -16],\n [15, -3, -18, 13, -16, -13, 16, -9, -3, 6],\n [-14, -2, 19, -3, 15, -13, 8, -3, -16, -16],\n [20, 4, -20, -10, -7, 20, -12, -16, 3, -15],\n [-4, -10, 9, -9, -6, -7, -13, -8, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 20, 19, 19, 2, -6, 7, -20, -3],\n [-12, -19, -8, -7, -12, 5, 11, -18, -3],\n [0, 10, 3, 13, -16, 11, 0, 6, 12],\n [-18, -2, -20, -17, 6, 2, -17, -1, -9],\n [10, -12, -8, 13, 12, 19, 9, 1, -14],\n [15, -4, -12, -17, 17, 7, 11, -3, -16],\n [-19, -10, 9, 6, -6, 3, -2, 19, -20],\n [7, -13, 1, 4, -3, -12, -13, 1, -19],\n [16, 14, -15, -10, 2, -6, -2, 3, -11]]\nB =\n[[19, 12, -3, -3, -2, 3, 4, 19, -12],\n [14, 7, 7, -8, 20, 11, 2, -3, -9],\n [5, 0, -12, 0, 2, 20, -15, 8, -20],\n [-12, -18, -12, 3, 7, 5, -5, -14, -4],\n [16, 17, 13, -2, -13, 2, -5, -7, -3],\n [4, -5, -6, 4, 11, 4, 4, 15, -13],\n [15, 19, -5, -5, -15, 17, -7, 0, 4],\n [7, -15, 16, -11, -14, -10, -9, -12, -16],\n [5, 6, 20, 19, -7, -4, -13, -20, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26203", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 10) of the product matrix AB given:\nA =\n[[-15, 11, -16, 0, 8, 6, -7, 16, 20, 14],\n [4, 3, 6, -14, 5, -20, 7, 0, 16, -5],\n [-15, 0, -19, -5, -6, -5, 11, 16, -17, 0],\n [6, 3, -15, 13, 17, -3, 0, -6, 9, 20],\n [-15, 16, -6, -3, -11, -18, 6, 3, -17, -10],\n [9, -20, -13, -10, 14, -6, -12, 19, -9, -7],\n [-15, -8, -2, -14, -5, 8, 15, -19, 12, 11],\n [-20, -19, 19, 17, 9, 6, -3, 19, -17, -5],\n [19, 11, 1, 10, -6, 3, -12, -18, -18, 13],\n [-19, 19, 10, 6, 20, -4, -11, 17, 4, -10]]\nB =\n[[16, 8, -10, 14, 10, 7, -8, 12, -7, 10],\n [6, 10, 15, -9, 10, -19, -18, 10, 7, 13],\n [11, -5, 19, -4, -2, 19, 16, 7, 11, -18],\n [12, -1, 14, 14, 4, 5, 17, 6, -3, 5],\n [-7, -14, -4, -11, -11, -10, -5, -15, 15, 17],\n [7, 16, 4, 13, 4, -20, 14, 16, -10, 13],\n [9, -20, 8, 8, -12, -2, 1, -5, 1, 15],\n [-19, -1, -16, 7, -1, 6, -5, 18, 17, 0],\n [15, 10, 14, 20, 7, 20, -10, 12, -14, -17],\n [-8, 12, 0, 19, -12, 18, 4, 13, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "454", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 15, 4, 4, -8, -15, -14, -1, -15, -14],\n [-18, 12, -4, 14, 18, -16, 14, -13, 17, 17],\n [0, 15, 14, -1, -7, 17, -7, -2, -15, 9],\n [-18, -18, 13, -18, 8, 0, 0, -18, 16, -4],\n [1, -11, -13, -9, -9, -7, -4, -4, 9, -8],\n [-15, -2, 5, -8, 9, 17, 2, -16, -10, 2],\n [-4, 20, -1, 9, -8, -2, 10, -14, -17, -13],\n [-9, -5, -12, -12, 1, 7, -8, -20, 14, 3],\n [6, 6, 16, 6, 13, -13, 13, 0, 14, -4],\n [2, -13, -5, 10, -9, 9, 3, 10, -9, 1]]\nB =\n[[-4, -17, 12, 4, -6, 20, -2, -5, 9],\n [-12, 1, 12, 14, -13, 18, 17, 20, -5],\n [17, -14, -6, 16, 4, -12, 7, -9, -5],\n [-1, 7, -17, -3, -4, 13, -11, 9, 11],\n [8, -8, -12, -15, -1, 2, -17, -10, 12],\n [-1, 3, -19, -10, 19, -1, 12, -19, 18],\n [-2, -8, -8, -16, 13, 17, 7, -12, -18],\n [2, 20, -10, 7, -6, 13, 0, 19, -12],\n [-3, -6, 19, 14, -11, -14, 2, 19, 12],\n [-8, -20, -4, 1, 2, 6, -18, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2133", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -3, 14, 17, 6, 14, 10, 12, -1],\n [4, -1, -8, 2, 7, -1, 0, 17, -18],\n [1, 13, -11, -4, -2, -16, -16, 13, 12],\n [-6, -19, 15, 1, -15, 6, 17, 8, -5],\n [14, 20, -15, 13, 20, 13, 4, 7, 17],\n [-8, -8, 18, 14, -18, 15, 8, 1, -14],\n [-16, 17, -11, -20, -13, 1, 1, -6, 18],\n [9, -3, -15, -9, 18, -19, -15, 1, -17],\n [-6, 16, 12, 9, 20, -3, 19, -7, -1]]\nB =\n[[15, 0, 16, 7, -4, 14, -3, 5, 19],\n [9, -18, 11, -6, -16, 5, 11, 19, 3],\n [0, -12, 5, 2, 5, 8, -9, 0, -17],\n [16, -15, -2, 16, -16, 8, -2, -13, -14],\n [-8, 7, 9, 13, -2, -6, -16, -16, -8],\n [19, 17, 17, -9, -20, 12, 0, -17, -20],\n [14, 3, 0, 16, -3, -18, 8, -19, 3],\n [-15, 5, 13, 20, 2, 18, 13, 17, -1],\n [8, 11, -1, -13, 3, -14, 5, -3, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2902", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[20, -9, 3, -13, -12, -12, -2, -5, 13],\n [-20, -1, 7, 7, 0, 17, -10, 3, -9],\n [5, 17, -12, -17, -17, -6, 15, -11, 7],\n [18, -11, -5, -7, -17, 15, 18, -13, 2],\n [17, 20, -5, 6, 3, 1, 6, 3, -10],\n [-5, 7, -10, -1, 12, -14, -11, 18, 0],\n [-18, -16, 17, -20, 15, -9, 10, 20, 5],\n [13, 18, -5, 3, 15, -16, -20, 0, -11],\n [-13, -1, 14, 9, -3, 7, 6, 9, 16]]\nB =\n[[14, -2, 20, 17, -17, -18, -11, -10, 7, 19],\n [-17, 18, -18, 13, 0, 4, -18, -4, -4, 2],\n [-4, 0, -6, -3, 2, -4, -8, -6, -2, -9],\n [4, -11, -8, -19, -3, 13, 13, 0, -12, -2],\n [-11, 13, -7, -13, 16, 12, 13, -5, -8, 18],\n [6, 18, 12, 12, -17, 16, 4, -10, -10, 1],\n [-7, 18, -19, 13, -10, -16, 6, -3, 11, -18],\n [2, -13, -11, -14, 7, 17, 3, 3, 3, 8],\n [3, 18, -18, 15, 17, 5, -6, -17, -9, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35164", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -17, -18, 17, -4, 4, 2, -12, 20, -17],\n [1, 18, 8, -9, 9, -3, -5, 18, 9, 0],\n [1, 4, 9, -15, 8, -14, 8, 14, -12, -4],\n [0, 0, -4, -2, 4, 12, 8, 4, 9, -14],\n [13, 8, 20, -12, 12, 16, -16, 16, 9, -6],\n [14, 11, 12, -6, 1, -20, 13, 16, -11, -17],\n [-4, -18, -20, -1, -5, -1, -16, 18, -10, 3],\n [-11, 16, -5, -7, -12, 10, 3, 16, -11, 2],\n [-18, -19, 5, 18, -16, 19, 0, 18, -11, -14],\n [-6, -9, 4, -3, -14, -18, -3, 8, 18, -8]]\nB =\n[[-8, -16, 2, -15, 4, -7, 7, -2, -7],\n [-6, 0, -6, 5, -4, -3, 15, 19, 8],\n [8, -2, 13, 10, -11, -5, 15, -15, 7],\n [-17, 13, 0, -20, 15, -5, 11, -16, -5],\n [16, 11, -15, 8, 19, -18, -1, 18, -16],\n [20, -7, -10, 17, -18, 17, 4, 14, -4],\n [20, 14, -9, 19, 4, -19, 7, 0, -17],\n [-17, -2, -9, 6, -5, -8, 13, -8, -8],\n [8, -2, -11, -3, -13, 13, -13, -7, 15],\n [6, 1, -17, 5, -7, -13, 7, 12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3408", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 9) when matrix A is multiplied by matrix B?\nA =\n[[-7, -12, 3, 11, -10, 17, -6, 19, -15, -3],\n [-13, 13, 17, 4, -10, 8, 6, -16, -12, 15],\n [2, -8, 15, 19, 0, -12, -19, 4, -20, -13],\n [11, 11, 0, 1, -19, -11, -20, -11, 16, -13],\n [-17, 13, 5, 8, -13, -2, -13, -9, -3, -8],\n [-19, -2, 2, -7, 11, 3, -12, -11, 13, -9],\n [-7, 0, 2, -20, 18, -4, 12, -6, -18, 3],\n [-4, 17, -10, 5, -8, -9, -5, -6, -2, -2],\n [16, -14, -8, -16, -4, 11, -10, 14, -14, 1],\n [-16, -13, -7, 8, 8, 20, 9, 7, 1, 3]]\nB =\n[[15, 3, 14, -19, 19, -12, -1, -8, -16],\n [-9, -1, -5, 17, -18, -2, 6, -4, 2],\n [-10, 15, 20, 0, 0, 10, -20, 19, 17],\n [13, 0, -6, 5, -16, 16, -11, 0, -14],\n [8, -11, -9, 9, -18, -11, -20, 0, -20],\n [2, 5, -1, -7, -5, -4, -8, 0, 4],\n [9, -15, -4, 1, 3, -16, 3, -5, 14],\n [12, -3, 2, 2, -11, -5, 9, 11, -11],\n [-8, -13, -6, -3, 3, 1, 19, 0, 2],\n [12, -11, 10, 8, 4, -17, 19, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 10) of the result:\nA =\n[[8, -12, -7, -3, -2, -12, -3, 13, -11],\n [16, -9, 11, 19, 8, -15, -20, -2, -11],\n [-20, 9, -16, 15, -4, -20, -9, -7, 13],\n [-4, -12, -16, -12, 9, 20, 14, -3, 0],\n [-18, -7, -10, 4, 16, -11, 0, -5, 17],\n [11, -17, -20, -11, -13, 11, -18, 10, 2],\n [16, -13, 8, 12, 4, -19, -16, -7, 14],\n [-7, 18, -2, -5, -3, -19, -18, -14, 20],\n [-9, -5, -3, 14, 11, -11, 12, -5, 2]]\nB =\n[[9, -13, -20, -12, 12, -5, -17, -14, 9, -18],\n [-14, 5, 19, 3, -5, 13, -13, 10, 0, -10],\n [9, 9, -10, 17, -9, 5, 7, -12, -11, -6],\n [11, -9, -4, -12, -3, 8, -14, 4, -8, 16],\n [-9, 14, 1, -6, -14, 17, -15, 16, -15, -2],\n [12, -16, 12, 0, -6, 6, 9, -16, 2, 20],\n [0, -20, -12, 13, 11, -15, 2, 18, -5, -4],\n [-7, -6, -17, 17, 5, -15, 5, 11, -2, 17],\n [2, -11, 19, -7, -11, 8, -12, 1, -17, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-401", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 8) of the result:\nA =\n[[-4, 13, 19, -16, -4, -7, -12, 18, 4],\n [7, -20, 17, -15, -17, -3, 14, -5, -16],\n [-17, 16, -10, -5, 2, -17, 0, 13, 5],\n [18, 6, -9, -1, 15, 16, 19, 3, -2],\n [-3, -15, -6, 17, 16, 4, 13, 12, 6],\n [-12, 12, 20, -4, 15, -18, 9, 19, -5],\n [0, 18, -12, -15, 9, 3, -11, 13, 20],\n [18, 11, 5, 7, -16, -18, -14, 1, 9],\n [7, 3, 4, 13, 6, -13, 11, 19, -7]]\nB =\n[[-19, 19, 3, -18, -20, 7, 5, 4, 6, -11],\n [19, 3, 11, -10, -20, -19, -6, -13, -8, 5],\n [13, 3, -20, -16, 20, 20, -2, -9, -12, -19],\n [-13, -11, 8, 2, 6, 16, -5, 11, -8, -15],\n [2, 15, 3, -10, 9, -6, -4, 9, 1, -6],\n [-18, 0, 17, -12, -6, 1, 15, 12, 0, 1],\n [-14, 6, -16, 3, -19, 1, -15, 5, -18, -17],\n [-8, 16, -2, 13, 17, -13, -11, 0, -2, -10],\n [-12, -1, 17, -11, -20, 8, 10, 5, -1, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-424", "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, -9, -4, 3, -15, -2, 20, 13, -18, 17],\n [-4, -2, -17, -8, -12, 9, -17, 3, -6, -12],\n [-1, 10, 11, -14, 15, -16, -19, -12, 5, -4],\n [11, 9, -16, -1, -15, -13, 11, -9, 5, -1],\n [19, 19, -8, 3, 13, -13, -5, 0, 1, 10],\n [0, -10, 0, 3, -4, -16, -10, -13, -15, -12],\n [8, 18, -15, -15, -1, 6, -6, 3, -13, 13],\n [4, -18, -9, 8, -12, -2, 4, 13, 8, 2],\n [17, -2, -6, -11, -8, 17, -16, -5, 7, 9]]\nB =\n[[-12, -10, 4, 16, -3, -9, -19, -20, -4],\n [3, 16, 15, 8, -1, -13, -13, 1, 4],\n [-12, -4, -4, 2, 3, -18, -6, -19, 16],\n [-11, 10, -8, -8, 6, -17, -1, -3, -20],\n [12, -3, 5, -5, 13, -8, -20, 17, -13],\n [16, 7, -2, 4, 0, 17, -2, 19, -6],\n [2, 10, 14, 14, -13, -9, 9, -3, 10],\n [10, -10, 4, -3, -5, -14, -6, -4, -9],\n [-10, -11, 8, 11, -3, 0, 7, -7, 7],\n [-5, -8, 9, 16, -2, -3, -15, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23371", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 6) of the result:\nA =\n[[-1, 16, -9, 19, 7, -3, -15, -19, -12, 9],\n [-9, -16, 18, -19, 17, -13, -15, -10, 10, -11],\n [16, 1, 12, -12, 15, 2, 10, 0, -18, -10],\n [9, 4, 7, 4, -4, 2, 15, 18, -19, -10],\n [-9, -17, 0, 17, -16, -19, 14, 14, 5, -7],\n [20, 2, 12, -8, 4, -3, 0, 17, 4, -9],\n [10, -9, 10, -18, 13, 6, 0, 0, -20, 8],\n [-6, 9, -16, 2, 17, -19, -17, -19, 5, 12],\n [7, -18, 9, 18, -12, -1, 19, -4, 20, -1],\n [-7, -7, -18, -11, -18, -7, -12, 12, 12, -5]]\nB =\n[[-14, -1, 7, 9, 5, 18, 5, 18, -11],\n [17, -3, 7, 20, -13, 19, -17, -6, 0],\n [-6, -9, -16, -18, -14, -11, -19, -10, 13],\n [0, -18, 2, -9, 12, -17, -15, 1, -12],\n [11, -20, 17, 15, -16, 14, -1, 9, -20],\n [15, 6, -6, -19, -12, 19, 11, -16, 14],\n [-12, -13, -18, -18, -18, 12, -2, 11, 9],\n [-6, 9, -13, -17, -18, 8, 1, 3, -14],\n [-9, 15, -18, -8, 11, -12, 9, 10, -15],\n [-9, 2, -5, -5, 0, 15, -7, -15, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-526", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-20, -1, 5, -13, -15, -15, 20, 6, -4, 8],\n [0, -17, -19, 16, -1, -20, -12, 10, -17, -17],\n [-14, 18, 3, -6, -4, 13, 10, -12, 7, -16],\n [18, 12, 10, -18, -18, 17, -20, -8, -12, -16],\n [-14, -14, -19, -20, -19, 18, 9, 19, 4, -4],\n [16, -16, -16, 18, 2, 19, -4, -4, -16, 6],\n [18, -5, -19, 18, -16, -10, -19, 10, -20, -5],\n [12, -3, 7, 13, 2, 12, -10, 20, 13, -17],\n [-6, -2, 7, 7, -10, -14, 16, -3, -6, -3]]\nB =\n[[-11, 7, -9, 19, -5, 9, 14, -18, -3, -10],\n [15, -18, -13, -19, -4, -20, -6, -11, -4, -18],\n [7, -4, 13, 19, -17, -2, -6, 4, -5, 9],\n [14, 2, -7, -8, 8, 3, 4, -3, -17, 9],\n [-9, 7, 0, 5, 1, 20, -3, 9, -12, 0],\n [8, 16, 13, 20, 14, -1, -20, 11, -4, 0],\n [5, 12, 16, 7, 7, -7, 12, 6, 11, -1],\n [-9, 19, -16, 9, 18, 6, 1, -12, 9, 9],\n [10, -15, 15, -18, -8, -12, -15, 11, 10, 1],\n [10, 4, 10, -3, 14, 0, 11, -19, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1044", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -5, 10, 16, -11, -2, -18, -9, 13],\n [-2, 6, 2, -19, 11, -20, 14, 8, -16],\n [-14, -1, 19, -20, -19, -14, -4, 11, -9],\n [19, 20, -2, 16, -11, 10, -14, -15, 18],\n [-13, -6, -18, 6, 12, 20, 8, 2, 19],\n [15, 14, 18, 7, 3, -5, 14, -19, 12],\n [-1, 16, -15, -18, 5, 11, 9, 1, 5],\n [-16, 19, 3, 3, 5, -6, -14, 9, -1],\n [-14, 16, -19, 10, -16, -12, 20, 19, 17],\n [3, -17, 17, 16, -15, 1, -20, 9, -13]]\nB =\n[[3, 6, 13, 3, 6, -17, 2, 5, 11, 15],\n [18, -16, 20, 17, 3, 9, -10, 9, -17, 13],\n [-20, 20, 0, -7, -14, 19, 15, -14, 13, 15],\n [2, -17, 3, -4, 2, -2, 19, 7, 15, 13],\n [2, -1, 15, -19, -6, -9, 8, 15, 7, -11],\n [-12, 19, -5, -11, 15, -5, 8, -16, 3, 2],\n [13, -17, 7, -16, 15, -12, -4, -18, -19, -4],\n [-10, -11, 6, 5, 8, 0, -10, -17, 9, 17],\n [-17, -18, 20, 4, -17, -4, -18, -4, -17, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39787", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, 15, -7, 11, -16, -20, 1, -1, 4],\n [3, -18, 1, -10, 14, -9, -2, -12, 7],\n [-5, -4, 15, 20, 11, 18, -10, -8, 15],\n [-12, 19, -15, -2, 3, 14, 16, 9, -9],\n [1, -3, 2, 3, -9, -3, -2, -5, -16],\n [18, -14, 3, 10, -14, -16, 8, -1, 16],\n [-16, 1, 18, -9, -5, -20, -16, -14, 13],\n [-20, 20, 9, -11, -18, -6, -12, -17, -18],\n [-18, 2, -16, -18, 17, 7, 8, 12, 0],\n [9, -9, 10, 10, -13, 16, -18, -12, 2]]\nB =\n[[20, -7, 18, -3, -9, 20, -7, 6, 12],\n [-3, -20, 11, -1, 15, 8, 4, -1, 9],\n [7, 3, 3, 2, 18, -20, 11, -16, -6],\n [-11, 12, 19, 2, 17, -9, 9, -10, -1],\n [17, -17, -6, -4, -1, -9, 17, -14, -11],\n [18, 16, -18, 8, 17, 3, -4, -18, -12],\n [5, -7, -14, -8, 2, -17, 16, 8, 12],\n [0, -2, -16, -6, 19, 18, -17, 3, 19],\n [13, -1, -4, -8, 9, -20, -13, -3, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 16, 18, 16, -16, 5, 1, 5, -15],\n [-13, 18, -12, -14, 5, 20, -3, 13, 3],\n [-20, -16, 12, -5, 12, 4, 2, -15, 9],\n [-18, -2, 9, 19, 3, 8, -4, 17, 20],\n [4, -20, -5, -9, -10, -11, -18, 8, 13],\n [10, -17, 11, -18, 15, -3, 17, 1, -16],\n [0, -16, 5, 1, -12, 1, -9, -8, 18],\n [-1, -16, -18, -1, -6, 7, -16, 9, -7],\n [-20, -14, 7, 8, -13, 0, 17, 14, 6],\n [-9, -1, 18, 0, -2, -8, -18, 13, 6]]\nB =\n[[-3, -18, 16, -18, 17, 15, -4, 5, -3, 0],\n [4, 15, 12, 10, -13, 13, 19, -1, 16, 5],\n [4, 8, 3, -10, -14, -15, 3, 18, -11, 8],\n [20, -11, -16, 15, -8, 4, -10, -17, 12, -5],\n [18, 20, 19, 12, -5, -7, -6, 15, 15, 19],\n [11, 1, -19, -12, 7, -12, 19, 13, -20, 6],\n [-11, -4, -18, -5, -3, 5, -5, -3, -12, -8],\n [6, -9, 9, 11, -16, 13, -9, 3, 12, -19],\n [15, -15, 20, 11, 13, 5, 12, -19, -7, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1028", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, -4, 7, 1, 20, -1, 7, -2, -2, -17],\n [-14, -8, -9, -11, -5, -6, 18, 9, 20, 12],\n [0, -8, 13, -19, -2, 6, -14, 19, -20, -17],\n [-5, 6, -14, -3, -20, -20, -9, -10, -15, 2],\n [-14, 15, -10, -20, 1, 10, -7, -11, 15, 12],\n [20, -19, -6, -9, -13, 20, 17, -3, -8, 6],\n [7, -18, 9, 4, 16, 6, -6, 17, -10, 11],\n [-14, -4, -12, 18, 9, 13, -18, 8, -17, 3],\n [8, -3, 16, 18, -4, 18, -18, -6, -11, 5],\n [19, -6, 15, -9, 7, -3, -18, 5, 6, -5]]\nB =\n[[-1, 6, -2, -17, 18, 18, 16, 12, -20],\n [-19, 11, 4, -6, 17, 13, -7, 14, 18],\n [-12, 17, 10, -5, 20, 13, 2, -3, -11],\n [-12, 0, -2, -10, -14, -17, -3, -4, 8],\n [7, 14, 7, 20, -17, -9, 6, 9, -17],\n [16, -10, -20, 6, 15, -7, 2, 5, -6],\n [-18, 10, 3, 12, 6, 4, 18, -5, -15],\n [-11, 5, -15, 0, 1, -12, 19, -2, 17],\n [7, -8, 2, 8, -9, 3, 3, -16, -12],\n [12, 14, -2, 7, -20, 19, 17, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -14, -20, 0, -14, -5, -10, 1],\n [-7, 17, -19, -1, -17, 9, 17, 7, 0],\n [-9, 12, -18, 14, -2, -20, 12, 19, 9],\n [-20, -17, -17, -10, -17, -5, -4, 11, 0],\n [20, 13, 19, -20, -1, 2, -13, -7, 18],\n [-12, -11, 19, -12, 15, 0, 20, -5, 2],\n [14, 8, -2, 10, 10, -4, 5, -4, -10],\n [-8, -18, -3, 16, 8, 7, 5, 14, 5],\n [14, 14, 8, -16, 8, 4, 11, -2, 17]]\nB =\n[[4, 10, 4, -11, 16, 0, -13, 19, -15],\n [-14, 9, 3, -13, -13, 10, 20, -17, 15],\n [-19, 20, 1, 0, 14, 18, 11, -16, -20],\n [10, 5, 5, 2, 20, -4, 14, -2, -18],\n [-16, 8, 4, 7, 8, 14, -12, -11, -5],\n [10, -6, -2, -1, 18, -4, -2, 14, 15],\n [16, 16, 9, -3, 8, 4, -12, 15, 14],\n [12, -17, 4, 18, -12, -19, 19, 4, 17],\n [-7, -2, 4, 18, -19, -11, -18, 6, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32125", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 9) when matrix A is multiplied by matrix B?\nA =\n[[9, 14, -3, 6, -2, -4, -17, 15, 0],\n [-10, -5, -3, -4, -7, -7, 20, 13, 19],\n [-19, 14, -5, 15, 7, -9, 8, -12, -2],\n [-17, -11, -12, 8, 5, 7, 3, 10, -15],\n [14, -8, 20, 15, 8, 9, -7, 1, 7],\n [-6, -15, 19, -7, 19, 7, 9, 9, -20],\n [-13, 2, 16, -8, 3, 1, -20, -17, -1],\n [-4, -11, -4, -3, 14, -1, -8, -13, 14],\n [12, -2, 4, -19, -15, 14, -19, -13, -13],\n [15, 18, 15, 0, 4, 13, 10, -4, 9]]\nB =\n[[-3, 8, 1, 16, -2, -5, -17, 17, 15],\n [-20, 13, 10, 14, -10, -3, -15, 4, -10],\n [14, -7, 10, 9, 0, -18, 0, 2, -11],\n [11, 13, -10, 6, 8, -18, 3, 6, -5],\n [-6, -2, 7, -15, -20, -20, 17, -1, -14],\n [7, -19, -16, -14, -13, 7, 19, 4, 2],\n [1, 4, -20, 12, 12, -7, -20, 18, 3],\n [-9, -8, 2, -17, 13, 17, 6, 11, 6],\n [-20, -9, -14, 18, -14, -5, 7, 13, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-359", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[20, 16, 1, -9, -14, 5, 16, -15, 6],\n [6, 8, 13, 15, 10, 8, 1, -14, -12],\n [-3, -9, -2, 14, -18, 11, -13, -19, -11],\n [14, -10, 7, -5, 20, 16, 10, 6, 11],\n [11, -13, -18, 16, -7, -8, -9, 17, -3],\n [-18, -16, -12, -16, 18, -6, 18, 1, 10],\n [0, -16, 11, -10, -5, 5, 11, 10, -5],\n [11, 7, -18, -1, -19, -5, -12, 10, -17],\n [0, -14, -10, 6, -19, 17, 10, -12, 1],\n [18, 0, 8, 18, -13, 13, -19, 3, 5]]\nB =\n[[13, 18, 19, -18, -3, 15, -16, 13, 1],\n [-19, -14, 9, 0, 19, 7, 13, -16, 11],\n [-1, -5, 8, 11, -16, -16, -16, 15, -5],\n [10, -16, 3, 8, 9, 17, -8, 12, -13],\n [17, 18, -10, 14, -1, -20, -3, 17, 8],\n [10, 4, -20, -15, -4, -12, -20, -6, -4],\n [-20, 6, -15, -1, -3, -16, -7, 10, -3],\n [-3, 18, -15, 14, 17, -18, 8, 18, 18],\n [15, 20, 0, 19, -17, 16, -20, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, -1, 16, 0, -1, 10, 19, 10, 17, -8],\n [-11, 7, -6, 7, 8, 15, -20, 2, 15, 4],\n [17, -4, -13, -18, -12, 17, 4, 7, 15, 15],\n [-4, -17, 6, -1, -5, 11, -4, 13, -3, -18],\n [-10, -9, 4, 16, -4, 13, -1, -4, -1, -18],\n [-20, 7, 17, -15, 1, -8, 19, -17, 3, -11],\n [-19, -5, -11, -12, 5, -14, -5, -19, 17, 7],\n [5, -7, -13, -10, 12, -8, 18, -15, -2, 7],\n [3, 3, 14, -14, -12, -20, -15, -9, 7, 19]]\nB =\n[[17, 7, 5, 14, -3, 6, -11, -5, -13, -14],\n [-8, -10, 14, -16, 8, 2, 16, 0, 13, 13],\n [-4, -8, -16, 10, -4, 3, -4, -5, 5, 0],\n [-10, 3, 10, 17, -17, -15, 13, 2, -3, 17],\n [16, -4, 11, 1, -10, 14, -10, -1, -11, 7],\n [18, 11, -14, -18, 3, -14, -16, -11, 0, -4],\n [-7, 9, -15, 6, -17, 5, -20, -13, 6, -17],\n [14, -12, -2, 18, -17, 19, 6, -13, 16, 8],\n [11, -11, -2, -3, 5, 9, 8, 1, -9, 2],\n [-12, -10, 0, -10, 10, 19, 11, 20, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4350", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 1) of the result:\nA =\n[[-11, -15, 16, -1, 14, 18, -10, -19, -2],\n [5, 14, -19, -3, 9, 0, -8, 6, -19],\n [8, 6, 1, 10, -5, -3, -20, 16, -18],\n [-18, -12, -9, 17, 14, 19, 3, 13, -18],\n [13, 6, -16, 5, -5, -8, -14, 6, 5],\n [-18, -10, -16, -9, 13, 4, 10, -5, 20],\n [-1, 10, 16, -3, -5, -16, 2, 11, -2],\n [2, -16, 9, -17, 18, -18, 2, -8, 9],\n [19, 1, -12, -11, 19, 19, -4, 20, -13],\n [12, -5, 8, 20, -1, -3, -15, 20, 7]]\nB =\n[[-5, -9, -2, -13, 16, -12, 18, 20, -4],\n [-5, 15, 0, -3, 6, -2, 9, 7, 16],\n [-16, 15, 17, 8, -12, 4, -15, -9, 9],\n [-12, 19, 1, 6, -11, -8, -9, -9, 7],\n [15, -6, -12, -3, 19, 6, 3, 13, -12],\n [8, -3, 7, 0, 14, 2, 8, 16, 15],\n [-11, -1, -10, 17, 0, 10, -8, -3, 7],\n [-15, 5, 15, -17, 11, -19, 1, -8, -9],\n [-18, -13, 19, 8, 1, 4, -13, -12, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, 12, -8, 11, -7, -9, 18, 16, 12],\n [-2, -1, -12, 5, 12, -14, -11, 7, -16],\n [15, -4, 7, -19, 1, 12, -3, -4, -14],\n [11, 18, 16, 17, 8, -17, 2, -6, -4],\n [3, 19, 11, -18, 12, -4, 16, 4, -7],\n [7, 17, 9, 1, 3, 10, -19, -5, 10],\n [-16, 7, 12, -13, 17, -9, -10, -13, -7],\n [4, 11, -20, 10, -2, 16, 1, -5, -9],\n [-7, 4, -11, -10, -14, 19, 20, 16, -14],\n [-13, 19, -9, -16, 11, -2, 9, 5, 11]]\nB =\n[[3, 1, 9, 11, -11, 16, 10, 11, 4, -14],\n [-8, 11, 19, -10, -13, -14, 13, 0, -17, -20],\n [-1, -7, -14, -11, -9, -5, 12, -20, -8, 0],\n [9, -7, 11, -2, -5, -1, -17, 13, -4, -13],\n [1, -7, 7, 4, 17, -2, -14, 10, -15, -9],\n [1, -3, 7, 13, 9, 18, -11, 19, 18, 4],\n [-2, 17, 16, -5, 13, 14, 14, 20, 19, -5],\n [-16, -9, -7, -20, 17, -6, 10, 13, 2, -10],\n [16, -7, -11, -5, 1, -13, 10, -11, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "529", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 6) of the product matrix AB given:\nA =\n[[-17, -11, -16, 17, 9, -10, -17, 8, 6],\n [3, 16, -6, -17, -7, -8, 17, 13, -16],\n [-15, 18, -19, 16, -9, 1, -17, 20, -6],\n [-1, 11, 10, 14, 3, 7, -1, 8, 19],\n [-15, 5, 20, -5, -7, 8, 2, 20, -10],\n [11, 14, -20, -8, -14, 19, -14, -7, 5],\n [-4, 8, -10, -11, -14, -1, -6, -19, -17],\n [6, -18, -20, -14, 19, 6, 13, -18, -2],\n [-15, 12, -9, 3, -7, -4, 15, -1, -13]]\nB =\n[[17, 4, -17, 8, -18, 10, 16, -11, -9, -18],\n [-12, -7, -7, 19, -2, -4, 16, 1, 0, 10],\n [18, -9, 13, 19, -7, -3, -11, 11, 2, 17],\n [-11, -3, -17, -18, 8, -9, -15, 17, 3, 7],\n [16, 11, -2, 20, -16, -17, 9, 6, 13, -15],\n [-6, 0, 13, 9, -16, -7, 3, 15, -6, 3],\n [7, 3, 2, -14, -11, 12, 17, -12, 18, 0],\n [8, 8, -15, -17, -2, -10, -2, -14, -1, -14],\n [-9, -6, -5, -11, -5, 4, -12, -20, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -5, -20, 13, -6, -18, -7, 14, -1, 13],\n [6, 15, 11, 10, -15, 12, 17, 8, 0, 19],\n [4, -6, 3, -13, -7, -1, 12, 15, 14, 17],\n [-14, 3, -9, -5, -4, 20, 14, 2, 1, -6],\n [4, -1, -16, 8, -17, 11, 4, 16, 4, -13],\n [13, 1, 18, -2, 4, -17, 11, 15, 14, 11],\n [-5, 4, 8, -15, -6, -14, -2, 4, 1, -5],\n [-14, 6, 20, -18, 13, 7, -7, 4, -18, -5],\n [-10, -14, -2, -19, -12, 14, 9, 12, -12, 14]]\nB =\n[[-8, 15, -18, -3, -12, -20, -20, 13, 15],\n [-18, -16, -11, 10, 7, 19, 7, -13, -10],\n [20, -4, 3, 11, 15, 8, -14, 2, -5],\n [7, 17, -6, -17, -6, 6, 19, 4, -20],\n [7, -9, -18, 0, 6, 4, 8, 6, 10],\n [-7, -9, -15, -6, -20, -6, 7, -7, 2],\n [-16, 18, 15, 16, 7, 16, -2, 16, 1],\n [-14, -1, -10, -18, 3, 0, 8, -14, -10],\n [-6, 3, -9, 20, 1, 5, -11, 2, 19],\n [1, -3, 5, -16, 9, 6, -18, -19, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-423", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 2, -18, -2, -15, 11, -19, -10, 5],\n [0, 9, -11, -9, 3, -2, 15, 10, -12],\n [1, 5, -18, 18, -9, 13, -15, 20, 2],\n [-7, 3, 20, 16, -13, -1, 1, 10, -14],\n [16, -12, 8, -4, 3, -5, 14, 12, -4],\n [12, 4, 6, 16, -4, 12, 10, -15, 8],\n [-17, 13, -3, 3, 1, -19, 4, -7, 18],\n [-2, 4, 15, -20, -6, 4, -11, -3, -12],\n [-19, 2, -13, -15, 0, -14, 5, 16, -17]]\nB =\n[[-3, -11, 12, 2, -15, -14, 19, 5, -17],\n [-17, 12, 16, 15, -16, 8, -10, 5, -8],\n [8, -6, -13, 6, 18, -16, -2, -16, -19],\n [2, 17, 6, 5, 15, 19, 0, -13, 19],\n [17, 4, -13, 0, 9, -3, 7, 6, -12],\n [-11, 20, 19, 12, -11, 11, -7, -3, -19],\n [15, -10, -2, 20, 8, -2, 20, -7, 16],\n [2, 3, 8, -12, -3, 20, -20, 3, -1],\n [-17, -8, -7, -7, 5, 5, 17, -16, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1651", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 4) of the product of the following matrices:\nA =\n[[-16, -3, 0, 4, 17, -7, 20, 19, 9, 1],\n [-3, -11, 3, 7, -12, 4, -5, -10, -12, -12],\n [12, -18, -20, 15, -1, 3, 8, 13, -16, 20],\n [-2, 13, -19, -9, -10, 1, 2, 19, -4, 14],\n [19, -11, 6, -10, -15, -13, -6, -4, -20, -10],\n [7, -12, -3, -9, -8, 15, 1, 8, 14, 9],\n [-9, -20, -3, -5, 4, 6, -8, 19, 15, 0],\n [-14, -16, -1, -12, -14, -19, -4, 20, -18, 11],\n [5, -12, 17, -3, -16, 17, 18, -1, 7, 7],\n [4, 5, -1, 2, -7, 12, 3, 19, -17, -6]]\nB =\n[[-2, 2, -15, 16, -6, -4, -6, 6, -13],\n [10, 18, -4, 2, -16, 15, 7, -4, 17],\n [14, 16, 8, 7, 12, 4, -5, -18, 9],\n [7, 16, -20, -6, 4, -18, -1, -8, -18],\n [10, -12, 6, -3, 10, 15, -20, 9, -15],\n [12, 6, 16, -16, -17, -6, -7, 15, -19],\n [-2, 12, -13, -20, -11, -8, 2, -19, -17],\n [-20, -2, -14, -12, 4, -17, 16, -7, 1],\n [-9, -11, 7, -11, 19, 13, -14, -16, 0],\n [-14, -20, 12, 4, 3, -13, 9, -7, 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 absolute values of all entries of the result:\nA =\n[[-12, 3, -20, -1, 16, 9, 15, 5, -7, 17],\n [-15, -5, 3, 18, -18, -6, 12, 4, 19, -15],\n [6, 13, 8, -3, -15, 12, -17, 8, -14, -11],\n [19, -7, -1, 12, -11, -10, 14, 17, 14, 6],\n [-7, -18, 0, 20, -3, 10, 4, 6, -19, 6],\n [-1, -10, -9, 3, -7, -10, 20, -1, 15, 11],\n [6, 19, 2, 1, 1, -10, -9, 19, 15, 15],\n [-17, -8, 0, 17, -2, 1, 16, 17, -5, 1],\n [12, -7, -11, -3, -5, 5, 13, -7, 16, 14]]\nB =\n[[12, -16, 17, -10, 19, -2, -15, 10, -4, 19],\n [16, -10, 20, -5, -14, 12, 18, 14, -3, -18],\n [11, 8, 10, 14, -8, 20, -17, -11, -1, 9],\n [5, 8, 13, 4, 12, -12, -5, -12, -6, -12],\n [1, -6, 6, -20, 19, -14, -11, 19, 3, 14],\n [18, 5, -12, 14, 15, -15, 20, -12, 1, 1],\n [-11, -13, 12, 12, 5, 4, 10, -3, 11, -7],\n [-12, 16, -14, -7, -2, -4, 1, 13, -13, 19],\n [20, 14, -11, -11, 20, -19, -15, 7, -4, 12],\n [-8, 8, 17, -15, -2, -1, 20, 12, 1, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29073", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-19, -1, -11, 9, 11, -17, 10, -10, -8],\n [-17, 13, 1, 19, -12, -2, 9, -17, 1],\n [14, 4, -2, 19, 14, -19, -2, 17, 14],\n [-2, -18, 3, 4, -8, -18, -15, 12, -17],\n [6, 10, -10, 10, 11, 6, -11, -19, 18],\n [7, -14, -6, 17, -17, 1, -9, -11, -3],\n [-9, 14, 10, 7, 16, -5, -18, 15, -15],\n [3, 13, -10, -8, -8, 4, 13, -14, 6],\n [-8, 6, 12, 1, 14, 1, -2, -8, -20]]\nB =\n[[-7, -14, 20, 7, -2, -15, 9, 9, 14, 14],\n [-10, -18, 2, -2, 17, -3, -5, 5, 4, 3],\n [20, -14, -2, -10, -2, -14, -20, -10, 13, 15],\n [-12, -15, -14, 8, 19, -9, 9, -9, -3, -20],\n [-6, -16, 12, -20, 1, 4, 0, -15, -18, -15],\n [-12, -9, -17, -20, 20, 6, 19, 0, 19, 11],\n [-8, -20, -19, 3, -8, -20, 16, -17, -12, 17],\n [13, 0, 13, -10, -12, -17, 19, -18, 9, -5],\n [0, -18, 19, 3, 1, 5, 1, -7, -19, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3982", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[18, -16, 9, -3, 4, -12, 10, -19, 14],\n [-9, 11, 7, 11, -20, -10, -5, 3, 11],\n [-20, 14, -4, 1, 20, -20, 18, -18, -17],\n [-1, 7, -20, -14, 17, 9, -14, -1, 2],\n [-5, 0, -20, -4, 15, -19, 2, -16, -9],\n [20, 13, -4, 0, -17, 5, 4, 5, 20],\n [3, 6, -8, 0, 16, -4, 19, 4, -11],\n [11, -6, 8, -14, 5, 14, -3, 5, 13],\n [-19, 5, 7, 5, 13, 20, -14, 16, 1],\n [17, 8, 3, 14, -17, 12, 11, -5, 3]]\nB =\n[[20, 5, 20, 11, -9, -7, -2, -3, 13],\n [11, 12, -13, 16, 4, 12, -17, -10, -10],\n [0, 0, -7, -8, 13, 12, -4, -13, 4],\n [-4, 5, -16, 0, -5, -3, -17, 20, -10],\n [-9, 4, 17, 5, 12, 11, 6, -12, 5],\n [-10, -20, 2, -19, 7, 1, 5, 1, 8],\n [-16, -7, -15, 18, 14, -7, -3, -9, 13],\n [12, -7, 6, -3, 19, -18, -7, -14, 3],\n [-20, 9, -17, 7, -11, 9, -1, 12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26788", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[0, -17, -13, -4, -20, 3, -4, 8, -14, 1],\n [-8, -7, -10, -6, 5, 5, -16, -3, -20, -19],\n [-18, 16, 18, -5, 13, -4, 0, 8, -1, 10],\n [-14, -4, -5, 4, 13, 2, 20, 19, 15, 3],\n [-10, -19, 7, 15, 11, -15, 1, -5, -9, -8],\n [-19, -6, -19, 1, -7, 9, 1, -8, -12, 16],\n [4, 20, -1, -6, 3, 20, 4, -20, 17, -15],\n [-11, 15, -12, 10, 14, -19, 5, 18, -1, -19],\n [5, -2, -15, 8, 1, -7, -7, 20, 18, 15]]\nB =\n[[15, -7, 15, -16, 4, -12, -15, 2, 11, -6],\n [-11, 20, -13, 16, 19, 15, 7, 10, 6, -9],\n [0, 6, 7, 11, -13, 17, -2, -1, 14, -9],\n [11, -13, -17, -20, 18, 7, -6, -10, 15, -2],\n [6, -9, -10, -2, 18, -20, -11, 5, 10, -7],\n [15, -17, -2, 15, 9, 13, 17, 5, 0, -2],\n [-9, 6, 14, -9, -14, 20, -4, -12, -4, -7],\n [12, -10, 1, 2, 4, 1, 16, -8, 2, -4],\n [17, -20, -7, -12, 9, 4, 11, 3, 11, -7],\n [-14, 8, -11, -2, -7, -3, -10, 18, 5, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[20, -7, 3, -12, 18, 5, -8, -13, -6],\n [18, 6, -18, 5, 20, 4, 9, 9, 5],\n [-2, 6, -16, 18, 12, -5, 4, 17, -18],\n [2, -8, 1, -19, 17, -5, 12, -20, -13],\n [-2, -8, 7, -13, 1, 2, -10, -10, 19],\n [0, 12, -5, 19, -16, 10, -7, -15, 7],\n [-3, 1, -15, -9, 18, -17, -6, 3, -5],\n [-18, 3, -5, -3, 9, -20, -9, -18, 19],\n [-15, 8, 15, -18, 8, -20, -10, 18, -8],\n [14, 20, 0, 9, 0, -10, -20, -11, -19]]\nB =\n[[11, -3, -4, 19, 14, 11, -14, 15, 15],\n [17, -14, 17, 11, -16, -1, -2, 5, 8],\n [3, -15, 9, 7, -10, -2, -14, -4, -9],\n [-1, -14, 15, -14, -1, 7, -17, 17, 13],\n [-12, 15, 11, 12, 15, 7, -4, -5, 19],\n [10, -15, -11, -2, 19, 4, -19, 1, 0],\n [10, -7, -6, 10, -7, -1, 1, -20, 11],\n [-8, 1, -19, 8, 6, -12, 1, -3, 19],\n [-4, 3, -1, 19, -16, -19, -7, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-19, 1, 1, 4, -11, 11, -16, -6, 18, -14],\n [-6, 14, -19, -8, -10, -8, 6, -16, -16, -3],\n [-5, -8, 5, -3, 9, 5, 1, -15, 4, -13],\n [18, 0, -18, 14, 19, 15, 14, -19, -15, 20],\n [7, 12, 15, 15, -12, 10, 17, 16, -20, -1],\n [15, 13, -13, -7, -17, 17, -7, -4, 4, -2],\n [-15, -6, -12, -7, -9, -16, 11, -19, 3, 19],\n [19, 7, 0, -16, 10, 13, 19, 20, -12, 10],\n [14, -4, -10, -10, 12, -6, -16, 19, -10, -2],\n [10, 9, -2, -5, 20, 0, -16, 6, 10, 5]]\nB =\n[[-13, -14, -3, 16, 19, 2, 12, 3, 12, 12],\n [7, -19, 12, 15, 17, -3, -12, 4, 13, 7],\n [15, -7, 15, -11, -12, 20, -18, -18, -11, 4],\n [2, -10, 1, 6, -18, -8, 9, 13, 9, 3],\n [-20, 15, -9, -1, -19, 4, 11, 12, 10, 15],\n [-1, 3, 20, 8, -18, -17, -17, -8, -6, -14],\n [15, -10, 0, 18, -9, -4, 1, -3, -17, -15],\n [-5, 18, -12, -7, 18, 11, -9, -14, -15, 5],\n [7, -12, 20, 1, -18, 2, -3, -16, 17, 1],\n [13, -7, 7, 19, 5, -19, 11, -6, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39911", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, 12, 15, 17, 14, 15, 20, 20, 8],\n [-20, 2, 11, -16, 4, 1, 18, -20, 2],\n [-2, -13, -11, 17, -8, 16, -9, 7, -2],\n [-20, 16, -1, 9, -13, 18, 19, 18, 5],\n [15, -13, 6, 7, 2, 4, 20, -12, -3],\n [-15, -18, 19, 6, 10, 6, 4, -6, -12],\n [-3, -20, -9, 6, -14, -3, 13, -4, 15],\n [16, -19, 17, -8, 14, -10, 12, 6, -16],\n [18, -6, 16, -15, 11, 6, -19, 18, 1]]\nB =\n[[1, -2, -15, 0, 10, -14, 7, -17, -20, -12],\n [-14, -15, -17, 9, 11, 2, -8, 10, 1, -20],\n [-6, -7, -5, 19, 5, 4, -6, 18, -9, -13],\n [6, 8, 2, 1, -13, -8, 4, 12, -16, 4],\n [-16, 11, -7, 6, 10, 14, -12, 9, 16, 16],\n [-20, -6, 3, -14, 13, 7, -6, -3, 14, -10],\n [-15, -7, 8, -5, -17, -15, -1, -19, -2, -10],\n [10, -1, 9, -12, -14, -4, 2, 19, -11, 1],\n [2, 12, -11, -8, 18, 6, -15, 3, -14, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, 10, 17, -9, 19, -3, -4, -18, -19, 17],\n [-14, 9, 20, -5, -20, -19, 0, -2, 1, 5],\n [18, -1, -1, 20, 2, -14, 10, 6, -10, -20],\n [-8, 15, 17, -10, -13, 7, -1, -20, 19, -20],\n [7, 0, -10, -9, -6, 9, 0, 18, 2, 16],\n [14, -7, 5, -2, -14, 11, -9, 9, 19, -9],\n [-8, 17, 4, -3, 2, -18, -2, 5, 16, 5],\n [5, 20, -8, 0, 2, -4, -10, -4, -5, 16],\n [-2, -1, 17, -8, -7, -7, -11, -11, 19, 9],\n [-17, -4, -7, 1, -10, -15, 14, 4, 6, -16]]\nB =\n[[16, 1, 4, -5, -19, -19, 6, -11, 18, 2],\n [-6, 17, -8, -16, -19, 15, 6, 6, -16, -16],\n [-14, -8, -4, 20, 13, 12, 18, -13, 17, -17],\n [19, -17, -20, -18, 5, 17, 0, -18, 6, 6],\n [-18, -7, 9, -13, -12, 5, -4, -4, -16, 0],\n [14, 20, 3, 18, -3, -5, -1, -6, 11, 15],\n [10, 6, -14, -12, 13, -1, -5, -17, 5, 20],\n [-20, 9, 2, -19, 10, -8, 17, 16, 15, -8],\n [-1, -12, 17, -3, 19, 4, -6, 18, -9, -7],\n [-14, 3, -14, 18, 10, 16, 12, -15, 12, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -3, -10, -7, 5, -11, 17, 11, -9],\n [11, 18, 15, 12, -8, 10, -6, -4, 3],\n [-7, -7, 4, 15, -11, -6, -14, -4, -6],\n [-17, 16, -11, -2, 19, -2, -11, -13, 11],\n [1, 18, -12, -14, 15, -8, 0, 3, -7],\n [4, -8, -20, -4, -18, 5, -7, -17, -9],\n [-11, 18, 20, -10, -17, -6, -17, -4, 14],\n [8, 17, -18, -9, 17, -10, 15, -19, 13],\n [-16, 9, -2, -1, -19, 10, 17, -4, 11],\n [4, -20, -5, -1, -18, -8, 1, 7, 10]]\nB =\n[[-14, 13, 20, 9, 4, -18, 14, -19, 6, -18],\n [7, -10, -16, -4, 6, -12, 12, -18, 7, -1],\n [19, 10, 8, 14, 7, -15, 7, 15, 15, 18],\n [-10, 3, 18, 4, 13, 20, -16, 16, 1, 15],\n [-20, -5, 16, 18, 9, -10, -9, 10, -2, 3],\n [4, -5, 13, -3, 8, -15, -5, -10, 10, -10],\n [16, -11, -19, 4, -7, -19, 8, -6, 9, 20],\n [13, -9, 8, -15, 5, -19, -17, -3, -1, -9],\n [-12, 20, 8, -2, 12, -15, 20, -9, 11, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30974", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 19, 4, -16, 17, 14, 8, 3, 15, 17],\n [-14, 17, 6, -15, 13, 9, 8, 4, 8, -6],\n [13, 6, 1, -19, 5, -10, 17, -18, 11, -1],\n [18, -1, -13, 2, 1, 9, 4, 0, 16, -18],\n [3, 1, -1, -19, -17, -4, 7, 19, -1, -15],\n [5, -12, 10, 10, -17, 7, 2, -18, 6, 17],\n [-17, 20, -1, -17, 20, -3, -1, -3, 10, -8],\n [-15, -1, -5, -18, 15, 2, 14, 6, 4, 5],\n [14, 8, 17, 9, -8, 17, -14, -8, 18, -20]]\nB =\n[[11, 2, -4, -1, 11, -10, -1, 7, 10, -17],\n [1, -17, 17, 5, -18, 19, 13, 0, -6, 5],\n [6, 17, 7, 9, 2, 18, 16, 19, 17, -17],\n [12, -4, 17, 0, -2, -9, 11, 16, -17, -13],\n [-17, 19, 1, -11, 0, 12, 2, -5, 9, -2],\n [-14, -12, 20, 8, -16, -3, 16, 16, -19, 20],\n [16, 6, -13, 4, 1, 3, 14, -18, -11, -6],\n [0, -2, 0, 16, -13, -4, 7, 0, -13, -10],\n [-8, -6, 7, -19, 0, 0, 6, -6, 7, 12],\n [-14, 11, -18, -18, -5, 0, -12, -18, 9, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4540", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 17, -7, 2, 17, 7, 7, 8, -5],\n [1, -19, 20, -12, -17, 2, 3, -18, -9],\n [8, 1, -2, -5, 6, -7, 8, -18, 9],\n [12, 5, -18, 9, -5, -16, 10, 15, 5],\n [9, 6, -8, -10, 5, 17, 12, 8, 1],\n [6, 12, 20, -5, -5, -13, 19, -17, 16],\n [-11, 11, -14, -4, -5, 14, -10, 20, -11],\n [7, -4, 19, 17, -5, 0, 17, -3, -17],\n [18, -16, 7, 18, 16, -1, -11, -11, -3],\n [-20, 16, 10, 18, -3, 2, -5, 5, 14]]\nB =\n[[-6, 20, 14, -7, 11, 20, -5, -16, 9, -5],\n [15, -18, 11, -20, -1, 12, 10, -1, -14, 0],\n [19, -14, 18, 8, -3, -6, 2, -2, -6, -3],\n [-14, 14, -3, 17, -5, 4, 6, 2, -3, -8],\n [-18, 8, -10, 9, -19, 3, 17, -16, 5, -8],\n [-3, -5, 7, -7, -19, -15, -16, -6, -3, 12],\n [14, 4, 19, 5, 1, 15, -10, -10, 18, 0],\n [4, 5, 7, -8, 2, -3, 11, 4, 10, -9],\n [-16, -8, 4, 18, -12, 20, 18, 17, -17, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3943", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, 6, 19, -17, 8, -13, -3, 12, 10, 19],\n [3, 18, 17, 15, -17, 11, 11, 4, -1, 3],\n [0, -5, 8, -10, -12, -4, 17, -13, -20, -17],\n [-2, -9, 13, -13, 1, 3, -12, 5, -9, 1],\n [-7, -13, 7, -12, 18, 18, -20, 13, 5, -16],\n [2, 20, -11, -14, 12, -11, -11, -15, 11, -19],\n [-7, -12, -3, -10, -4, 6, -16, 15, 13, 6],\n [-3, 20, -20, -5, 18, -2, 12, 9, 6, 11],\n [8, -13, 14, 14, -7, 16, 17, 19, 19, 17],\n [11, -11, 8, 10, -13, 2, -15, 0, -16, 16]]\nB =\n[[-16, -15, -16, -20, 6, -9, -18, -15, -20, -11],\n [-11, -13, -9, 4, 13, 3, -20, -17, -8, 2],\n [-10, 15, 20, -2, -16, -2, -18, -15, -16, 16],\n [9, 12, 17, -11, 6, 18, -15, 1, 2, -6],\n [-14, -17, -20, -1, -19, -18, 16, -5, -9, 5],\n [14, 17, 1, 9, 9, -4, -15, 9, -9, -2],\n [2, -13, 18, -13, 2, 17, 13, 5, -12, -18],\n [-16, 1, 10, -5, 14, 3, -3, -8, 5, 13],\n [5, -12, 14, 12, -5, -11, -13, -12, 7, -17],\n [7, -2, 6, 18, -16, 0, -9, -8, 20, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-760", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-11, -1, 15, 13, 13, -17, 19, -20, -4, 6],\n [15, 9, -14, -2, -9, 7, 3, -6, -18, 7],\n [-2, 4, -13, 11, 18, -13, 18, 12, -15, 15],\n [1, -11, 19, -17, 19, 8, 4, -1, -2, -9],\n [13, 0, -20, 3, 7, -13, 1, -1, -1, 9],\n [14, -19, 14, 17, 15, -8, 15, -5, -9, -8],\n [-4, 3, 7, 19, -4, 6, 1, 12, -9, -14],\n [7, -8, 7, -11, 5, -13, 8, 19, 5, 8],\n [6, -9, 5, -20, -3, -17, -6, 12, 9, 12]]\nB =\n[[5, -1, -8, -19, -14, -18, 18, -4, 15, 10],\n [-9, -1, 20, 12, -2, -13, -19, -12, 12, 7],\n [-17, 10, -1, 5, -7, -19, -17, -4, -17, 18],\n [-17, -11, 7, -11, 14, 4, -15, -7, 3, 9],\n [-17, 4, 14, 18, 8, -13, -4, 14, 8, -10],\n [-13, 7, 16, 14, 5, 6, 20, -6, -1, -11],\n [-16, 6, 5, -6, 4, -3, 2, 16, 10, -20],\n [6, -6, -20, -7, 17, 12, -19, 15, 20, -1],\n [-2, -10, -20, -6, -19, -19, -15, 11, -12, -3],\n [-16, 1, -13, -7, -18, 4, 4, -16, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 4) of the product of the following matrices:\nA =\n[[12, -8, 15, -10, -4, 12, 6, -16, 13, -16],\n [-5, -14, -20, 5, -7, 20, 16, 19, -16, 16],\n [0, 13, 12, 2, -15, 5, 12, -8, 2, 14],\n [13, 0, -17, 1, -1, -3, -14, -3, 10, -17],\n [-12, 11, -14, 19, -3, 11, -7, 5, -19, 13],\n [-2, 13, 17, 17, 11, 3, 4, 4, 18, 8],\n [12, 1, 6, 6, 13, 8, 20, -3, -11, 16],\n [16, -16, -5, 16, 8, 11, 7, 13, 6, 19],\n [12, -17, -2, 1, 2, 3, 15, -18, -16, 9]]\nB =\n[[-12, -7, -20, 12, -10, -1, -6, 13, 6, -2],\n [14, -1, 6, -13, 19, 17, -13, 10, -8, 1],\n [3, 11, 19, -14, -7, -3, -6, 6, 16, -20],\n [-6, 1, -11, 5, 3, -6, -6, -7, -11, 12],\n [5, -4, -5, -4, -10, 9, -9, -7, -5, -5],\n [-10, 13, -18, 16, 11, 2, -4, -9, 14, 9],\n [11, -19, 13, -1, -12, 20, 14, 1, 9, 7],\n [-17, 7, 13, -2, 12, 15, -2, 1, 16, 11],\n [2, 8, 9, -7, 6, 2, -20, 14, 11, 15],\n [-8, 8, -5, -1, 20, 18, 19, 19, 16, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "562", "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, -10, -1, 2, 13, -1, -14, -14, -3, 19],\n [-5, 6, -10, 8, 19, -18, -15, 0, 12, 9],\n [-4, 19, 16, -1, -2, 17, -7, -19, -14, -10],\n [-20, -14, 7, 12, -6, -12, 8, -7, 5, 0],\n [9, 18, -2, 14, 8, 13, 8, -15, -12, -13],\n [-5, 13, -15, -10, 19, -20, -15, 14, 3, -4],\n [-1, 4, 2, -2, -8, -7, -12, 9, -10, -15],\n [-17, 0, -3, -3, -8, -15, 0, -19, 0, -9],\n [19, -3, -20, -6, 2, 4, -1, -6, -18, 20]]\nB =\n[[-14, -20, -8, -8, -5, 15, 17, 6, 1],\n [-13, -5, 11, -5, 16, -15, 4, 2, -2],\n [4, -20, -12, 11, -4, -8, 3, 9, 19],\n [0, 15, -7, 2, -5, 3, -7, 12, -4],\n [14, -18, 12, 7, 7, -16, -13, -14, 14],\n [-11, -3, -15, 16, -5, 18, 10, 17, 16],\n [0, -8, 13, -12, 13, 12, -11, 9, -6],\n [-14, 20, -14, -6, 5, -2, -2, 17, 18],\n [-3, -20, -15, -1, 10, -3, -4, 11, 4],\n [-7, -16, -14, -5, -14, -1, -13, -4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25476", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 2) of the result:\nA =\n[[-6, -10, -8, 15, 3, -16, 7, 2, -19, 12],\n [-8, -7, 2, 3, -13, -20, -17, 2, -7, 5],\n [-1, -4, 9, 18, -6, 8, -15, 19, 19, -3],\n [11, -1, -20, 8, -16, 15, -17, 16, 10, 17],\n [1, -19, 14, -2, -10, 4, -20, 11, -14, -9],\n [14, -19, 13, -3, 19, -12, -18, 6, 8, -7],\n [-13, 20, 11, 3, 5, -10, -16, 13, 18, -13],\n [-6, -6, 15, 4, 20, 16, 0, -15, 12, -3],\n [-14, 6, 3, 15, 19, -3, 2, -19, -14, 16]]\nB =\n[[-1, 17, -11, -20, -12, 14, 20, -20, 12],\n [15, 20, 13, 19, -14, 2, -3, -20, -10],\n [-1, -1, 11, 11, -1, 6, 20, -17, 12],\n [0, 2, 14, -16, -15, 11, -15, 5, -12],\n [-20, 0, 1, 3, 16, 0, -6, -11, 5],\n [-11, 5, -14, -12, -8, 11, 15, 3, -4],\n [18, -19, 11, -15, 5, -3, -5, -16, 14],\n [12, -1, -17, 13, 13, -14, 13, 11, 5],\n [8, -3, 17, 4, 7, -20, -17, -5, -14],\n [-7, -19, -2, -8, -10, -20, 14, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[19, 11, 13, -8, 18, -6, 7, -8, -16, 4],\n [4, 20, 20, 15, 9, 16, -12, -19, -13, 6],\n [-15, -14, 19, 10, -16, -19, 15, 19, 1, 5],\n [10, 17, 15, 3, 7, -10, 11, 11, -4, 2],\n [-1, -3, -8, 16, -10, -11, 10, -5, -2, -3],\n [20, 11, 6, 14, -14, 1, 0, 5, 17, -11],\n [5, -3, -13, -16, 15, 17, 18, 7, 18, -17],\n [-16, -14, 2, 20, 2, -1, 6, 19, -20, -8],\n [-10, -20, -8, -13, 13, 14, 3, -18, 19, -11],\n [14, 20, 15, -7, 15, 3, 20, 18, -12, -14]]\nB =\n[[18, 20, 14, -8, 19, 5, -16, -4, -10, 1],\n [-4, -20, 11, -6, -5, -8, 3, 14, -12, -7],\n [-17, 19, 13, -19, 3, 14, -7, 3, -20, -5],\n [-20, 7, -17, 3, -6, 3, -20, 18, 10, -14],\n [-10, -16, 9, 16, -10, 13, 11, 2, -19, -12],\n [15, -3, -9, -20, 13, -17, -15, 3, 11, 16],\n [7, -11, -7, 2, 18, 17, 7, 20, 20, -20],\n [15, 9, 7, -6, 8, 18, 18, 0, 12, -4],\n [6, 4, 11, -6, -19, -10, -18, -4, 4, 4],\n [15, -6, 20, 10, 2, 4, -2, 15, -20, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2624", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-13, 7, 3, -17, 2, -3, -6, -3, 13],\n [-13, -9, 19, -8, 3, -20, -10, -9, -5],\n [13, -5, 0, 17, 6, -6, -5, 2, 14],\n [4, 7, 3, -17, -15, -7, -18, 0, 13],\n [17, -19, -14, 14, 2, -1, 12, 4, 16],\n [-17, 15, -14, -3, -5, -10, -8, -19, 3],\n [19, 15, -15, 19, 7, 4, 0, -9, 19],\n [-7, 0, 0, 6, 17, 4, -14, -10, -10],\n [5, 4, -13, 5, -13, -7, 3, -11, 1]]\nB =\n[[-6, -18, 14, 16, 8, -16, 6, -19, 1],\n [0, -11, -5, -15, 17, 18, -13, 10, -20],\n [5, 12, 5, -13, -9, -15, -3, -1, 14],\n [6, 18, -7, 11, 9, 16, 3, -4, 4],\n [-18, 17, -5, -16, 17, -16, -20, 4, 12],\n [-18, -14, -16, 16, 19, 7, 4, -6, 10],\n [14, -8, -2, -7, 19, -1, 17, 0, -6],\n [8, 6, 6, 20, -14, 20, 16, 11, 15],\n [14, -2, 20, 7, -14, -1, 19, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1257", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 6, 14, 17, -16, -4, 17, -9, -17, -8],\n [-14, 16, 16, 12, -6, -2, 4, -3, -3, 10],\n [20, 12, -18, -18, -19, -17, -9, -14, 6, 14],\n [-11, -20, 10, -12, 4, 8, 13, -17, 18, 6],\n [19, 13, 0, -20, 0, 14, 12, -13, 19, 13],\n [11, 3, 6, -18, 11, -16, 16, -16, 5, 3],\n [0, -1, -12, -6, -18, 6, -17, -3, 10, 5],\n [0, 19, 0, 14, 5, 11, -6, 7, -12, -16],\n [-14, 1, 0, -2, -4, -10, 10, -13, 13, -18],\n [19, -3, 15, 18, 0, -17, 7, 15, 6, -12]]\nB =\n[[-12, 7, -2, 17, -15, 19, 1, 14, 10, 5],\n [3, -16, 0, 1, 3, 14, -16, -6, 18, 17],\n [-15, -2, -4, -19, 8, 4, 14, 16, -1, -6],\n [-11, 11, -13, 12, -20, 5, -16, -19, -3, 12],\n [-11, -15, 18, 18, -8, 20, -9, 4, -19, -18],\n [-16, -2, -19, 0, -8, 20, 1, -4, 5, 15],\n [-17, 11, 14, 14, -8, 3, -4, -8, -18, 16],\n [-9, -4, -4, -13, -7, 20, 19, -7, -3, 11],\n [1, -6, -5, 8, -18, -1, 17, -9, 14, -3],\n [6, -1, -15, 19, 2, 10, -14, -17, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31677", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 6) of the result:\nA =\n[[2, 2, -17, 11, -11, 18, 7, 12, -13, -4],\n [14, 1, 14, 16, -3, 3, 1, 16, -17, -12],\n [-20, -9, -17, -17, -12, -3, -7, -11, -3, 5],\n [6, -2, 2, -7, -14, -20, 10, -1, 2, 6],\n [20, 10, 5, -17, 9, -2, 10, -7, 18, 14],\n [-3, -16, -3, 1, 14, -5, -8, 0, 12, -3],\n [8, 2, 18, 17, 17, 17, 11, -1, -14, 13],\n [-2, -18, -15, 14, -4, 15, 14, 11, 18, -14],\n [16, -3, -4, 12, -16, 13, 19, 1, -10, -4]]\nB =\n[[18, 2, -19, 11, -14, -6, -5, -7, 17, 1],\n [2, 1, -2, -20, 14, 1, 11, -3, 14, 14],\n [-6, 18, 12, 6, -16, -15, -13, 6, 16, 17],\n [14, -13, -4, 9, 1, 19, 0, 5, 0, -3],\n [-7, 19, -6, -18, 10, -15, -4, -19, -16, 3],\n [9, 19, 14, 13, 16, -6, 13, -2, -13, -7],\n [17, -9, 12, 12, -2, 0, -6, -2, 11, -7],\n [10, -1, 13, -1, 20, -11, -14, -18, 2, -11],\n [14, -4, 0, 9, -18, -19, 4, -16, -14, -20],\n [11, 12, 16, -9, -18, -2, 3, 2, 2, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[-13, 3, -11, -17, -8, 7, 3, 6, 11, -3],\n [-15, 8, 6, 6, 14, 20, -20, -17, 11, 10],\n [-16, -18, -8, -8, 1, 0, -2, -6, -5, -15],\n [1, -4, -16, -13, 12, -19, -2, -16, -15, 15],\n [-1, 2, -19, 0, -3, -11, 8, 12, -12, 2],\n [-1, 15, -2, -12, 19, 12, -17, -5, -5, -17],\n [0, 19, 10, 4, -4, -11, 15, 14, -14, -6],\n [-10, 13, -11, -17, -13, -4, 8, 10, 12, 5],\n [-15, 0, -12, -4, 19, -13, -18, -13, 4, 5]]\nB =\n[[12, -19, 13, 14, -14, 5, 0, 14, 16],\n [-10, -14, 15, -7, -18, 10, -8, -11, 13],\n [3, 15, 15, -7, 18, 6, 12, 17, -18],\n [6, 15, 11, 7, -6, 8, -4, -11, -4],\n [4, 19, -11, -5, -16, 19, 9, 11, -3],\n [-9, 6, 7, -1, 11, 2, -18, -18, -2],\n [18, -4, 11, 10, -12, 14, -4, -5, 19],\n [-5, 1, 8, -10, -11, 14, -16, -5, -8],\n [-14, 4, 13, 3, -18, -18, 14, 15, 0],\n [12, 2, 16, -2, 1, -9, 13, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-420", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-8, 15, 3, -15, 1, 16, -8, -10, 10, 17],\n [15, -2, 13, 4, 2, -11, -4, 6, -14, 7],\n [-7, -6, 4, -17, 4, -7, -12, -4, 10, -3],\n [-6, 12, -7, 17, -15, 5, 11, -2, 2, 5],\n [-10, -8, 0, 2, 14, 9, 18, -6, -18, -13],\n [17, -14, 2, 14, -2, -18, -10, 20, -1, 13],\n [0, -4, 10, 9, -5, 15, 16, -13, 3, 4],\n [-12, 1, 18, 11, 20, -12, 13, -2, 0, 19],\n [6, 6, 1, -16, -10, 20, 14, -1, -17, 2]]\nB =\n[[-4, -17, 7, -11, -10, -14, -20, 13, 12],\n [13, -4, 20, 15, 0, 7, -5, -5, 7],\n [8, -19, -5, -2, 20, 6, 18, -19, -3],\n [2, -9, 5, 9, -7, -6, -20, -4, -13],\n [10, 5, -3, -7, -9, -15, 0, 1, -3],\n [-8, 18, -19, 3, 12, 0, 6, 15, 18],\n [-2, -4, -1, 4, -5, 9, 13, 18, 0],\n [-8, -20, -11, -10, 16, 20, 12, -3, 6],\n [2, 17, 10, -11, 5, -6, -2, 18, -13],\n [-12, -3, 5, -17, 18, -7, 11, 16, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 10, 11, 13, 1, 14, -8, -12, 18, -1],\n [-15, -1, 3, 1, 3, 2, 0, -5, 6, 4],\n [14, 7, 3, 13, -11, 14, 3, -7, 13, 16],\n [18, 9, 12, -16, -9, -5, 2, -4, -20, -15],\n [7, -16, 20, -12, -20, -18, 9, 20, 0, 20],\n [-4, -17, 12, 19, 9, 7, 3, 2, -4, 7],\n [15, 12, 13, -7, 13, 7, -19, -6, 1, 10],\n [-7, -2, 13, 10, 16, -12, 0, 11, -1, 17],\n [17, -16, -13, 2, -3, -15, -11, -10, 5, -16],\n [-19, -20, 13, 13, -11, 20, 19, -19, -18, 10]]\nB =\n[[10, 0, 6, 1, -3, 20, -15, -5, 19, 11],\n [15, -19, -20, 12, -2, -10, 9, 8, -10, -6],\n [6, 9, 14, 6, 1, -3, 7, 5, 17, 2],\n [8, -17, 19, 10, 8, 6, 19, -3, -9, -4],\n [-13, -13, -13, 9, -19, -8, 15, 17, 17, -15],\n [-17, 5, 13, 10, 16, -10, -18, -18, -20, -15],\n [1, -10, 5, 2, 17, -15, 17, 10, 1, -18],\n [5, -19, 1, 7, -6, -15, 11, 0, 4, 0],\n [-2, -9, -11, 17, 4, -5, 18, 7, 1, -19],\n [-8, 12, -19, -11, 15, -12, -1, 3, 18, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35720", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-11, 3, -6, 2, -16, 19, -6, -20, -19],\n [16, 3, -9, -5, 15, -10, 20, -7, 8],\n [15, -19, 14, 11, 3, 6, 1, 5, 15],\n [-7, -2, -20, 13, -20, 19, -16, -7, 6],\n [-19, 1, 9, -10, -6, 16, -4, 18, 15],\n [-20, -5, -20, -2, -12, 14, -2, 13, -12],\n [13, -8, -7, 12, 3, 14, -6, -4, 0],\n [-18, -20, -7, 8, -14, 19, -4, 4, 20],\n [6, -10, 14, -10, -3, -1, -15, -5, 20],\n [19, -19, 4, -20, -19, -14, -7, -3, 12]]\nB =\n[[8, 18, -20, 10, 17, 6, 6, -19, -1],\n [-4, 18, 18, -13, -18, -20, 8, 10, -14],\n [-8, 19, 0, 10, 5, 9, 12, 13, -19],\n [-16, 19, -15, 7, -2, 2, 12, 7, -7],\n [-15, -2, -19, -14, 9, 13, -11, 15, -20],\n [11, 6, 17, -8, 13, -8, 5, -10, -20],\n [-12, 3, 13, -2, -14, 2, -16, 0, 14],\n [-4, -19, 7, -16, -10, 18, -13, -9, -7],\n [-18, -6, 11, -2, -2, -14, -9, -14, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32665", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[15, 2, 13, 18, -19, -5, -19, 15, -4, 18],\n [8, 3, 6, 5, -14, -20, -6, -12, 17, -8],\n [12, 9, -4, -3, -5, 1, -10, -6, 20, 6],\n [-13, -17, 11, -1, 17, 9, -14, 16, -16, -3],\n [3, 13, -20, 19, 2, 7, 5, -17, 13, 9],\n [-5, -3, 11, 16, -8, -4, -7, -20, 18, 18],\n [-2, 12, -9, -11, 8, 6, 12, -5, -1, -7],\n [-7, -7, 20, -9, -1, -15, 9, 16, -4, 10],\n [0, -15, -10, 11, 5, -17, -12, -19, 5, 7]]\nB =\n[[6, -12, 13, 6, -16, 16, -12, -15, 7, -14],\n [-2, 7, 6, -5, 6, -3, -20, -12, -8, -3],\n [-5, -1, 11, 13, 13, -20, 14, -20, -8, 7],\n [-13, -18, -18, -19, 12, 13, 6, -2, -14, 13],\n [12, 13, 13, -4, -14, 17, 20, 9, 16, 7],\n [3, -3, 0, -16, 15, -5, -8, 12, 19, -8],\n [-16, 7, -12, 6, -3, -6, -1, -19, -11, -7],\n [-5, -1, 19, -13, -4, 8, 5, 12, -18, -14],\n [-9, -1, -11, 18, 7, -4, 17, -6, -13, -2],\n [-1, -2, -1, -5, 19, 17, -12, 1, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32062", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-17, -7, 4, 17, 16, -12, -3, 7, 8],\n [16, 9, 19, 9, 7, 17, -3, 10, 12],\n [-16, -3, 13, -14, 1, -15, 15, -9, 10],\n [15, 8, -4, -4, -13, 16, -11, 17, 17],\n [-7, 14, -1, -13, -19, -6, -15, -5, -6],\n [-9, 8, -4, 2, -11, 17, 1, -6, 10],\n [-18, -19, -12, 4, 11, 4, -18, -17, -2],\n [-10, -18, 4, 14, 2, -17, 11, -16, -8],\n [10, -18, 3, 4, -12, -5, 18, -10, -8],\n [8, -18, 15, 10, -14, -16, 2, -7, -12]]\nB =\n[[6, -15, 17, -20, 11, 13, -7, -2, 20],\n [-9, -1, 12, 16, 8, 4, 0, -5, 9],\n [8, 8, 0, -14, -12, 14, -19, 12, 0],\n [0, 20, 8, -15, -19, -2, 10, 4, -19],\n [15, -17, -6, -7, -2, -17, -4, 9, -4],\n [11, 13, -6, -4, 10, -9, 12, -7, -3],\n [-6, -13, 2, -17, 16, 11, 7, 17, -3],\n [-19, 3, -7, 14, 10, -20, 6, 0, 18],\n [-16, -3, -3, -14, 14, 14, -2, 6, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2545", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -12, 19, 3, 8, -6, -12, -4, 8],\n [5, 17, 9, 6, 13, 19, -7, -16, -17],\n [12, 13, 9, 2, -6, -15, 9, 17, -8],\n [15, 19, -15, -3, 15, 4, -17, 3, 4],\n [1, -20, -17, 16, 6, 17, 12, -14, -15],\n [-8, 9, -7, -1, 19, -8, -19, 9, 6],\n [16, -14, 1, 19, 19, -5, 16, -1, 0],\n [-8, 14, -3, 3, -5, 10, 8, -20, 13],\n [8, -6, -20, 3, -3, 12, -16, 10, -2]]\nB =\n[[1, 5, -14, 9, 19, 4, 16, -3, -19, 13],\n [3, 8, -11, 10, -14, 13, 8, 17, 8, 2],\n [-10, 1, -19, -17, 12, -7, -8, -10, -20, 0],\n [12, -2, -19, 17, 0, -5, 14, -14, 20, 19],\n [-17, 15, -6, 7, 10, -1, 6, -1, -10, 5],\n [-20, 7, -1, 15, -20, 10, -18, -4, 16, -10],\n [-8, 14, -16, -3, -3, 7, -9, 5, 7, 8],\n [16, 10, 13, -17, -15, 7, 1, -4, 15, 10],\n [10, 19, 12, 9, -1, 3, 16, 5, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28367", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -15, -10, -6, -8, 17, 13, -4, 0],\n [-20, -5, 2, 18, -18, -9, 8, -12, 6],\n [-1, 11, 15, 11, 12, -6, -13, -17, 19],\n [11, -2, 5, -13, 16, 16, -1, 9, -9],\n [13, 9, 3, 1, -7, 2, -19, 15, -7],\n [19, 11, -3, 4, 4, -19, -17, -13, -20],\n [-12, 6, 7, -20, -15, 14, -6, -11, 3],\n [-20, 6, -1, 18, 9, -11, 2, 3, -1],\n [13, -3, 17, -20, -2, 15, 16, -4, -20]]\nB =\n[[17, 12, 12, 9, 18, -7, 19, -2, -14, 0],\n [-3, -9, -9, -13, -5, 6, 18, -2, -6, 12],\n [11, 6, -6, 4, 13, 11, -13, -11, -6, 5],\n [4, 10, -8, -14, 13, -3, -19, 17, -9, -20],\n [18, -17, 7, -14, 3, 19, 9, 1, 1, 7],\n [-1, -12, 7, -16, 1, 2, -11, -14, 19, 13],\n [9, -2, -6, 15, 18, 8, 14, -19, 19, 4],\n [14, -13, 15, -2, -16, 10, 17, -14, 7, 20],\n [-9, 12, -19, -6, -8, -16, 18, -10, -17, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33430", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -20, 10, -8, 7, 19, 14, 13, 16, 7],\n [-12, -11, -12, -12, 15, 15, 19, 17, 0, 10],\n [-3, 13, -8, 15, 5, 18, 16, 4, 14, -13],\n [14, 14, -6, 8, -1, 11, 6, 17, 20, -8],\n [-16, 10, -9, 19, -2, 0, 18, 20, -18, 20],\n [-11, 9, -14, 12, -4, -15, -19, -14, 16, -8],\n [-5, -4, -13, 14, 7, -9, 2, -1, -20, -16],\n [-11, 8, -3, 18, -13, -14, 0, -20, -7, -10],\n [12, -6, -8, -3, 12, -19, -20, 17, 13, 4]]\nB =\n[[1, -20, -9, -5, -2, 13, -8, 18, -6, 7],\n [-16, 15, 10, -7, 4, 20, -17, 17, 8, -18],\n [12, 19, -14, 0, -15, -12, -14, -14, -16, -19],\n [13, 18, -14, 11, -14, 17, -13, -15, 19, 20],\n [13, -3, -2, -18, 2, -16, -2, -5, 3, -17],\n [15, 18, 0, -20, -2, 2, 10, -14, 2, -9],\n [9, 18, 15, -6, 12, 14, 9, 5, 10, 17],\n [2, -12, 7, 1, -16, -7, -14, 14, -6, -2],\n [-18, -3, -8, -8, 8, -18, 5, 14, -17, 3],\n [-12, -8, 6, -19, -1, -6, -9, -19, 18, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35674", "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, 15, 2, -14, -6, 18, 14, -18, 4],\n [19, 15, 14, -11, -8, 3, -16, -4, 4],\n [-8, 17, -8, -9, 8, -9, 4, 8, -18],\n [11, 0, 20, -14, -18, -13, -14, -5, 0],\n [-6, 16, 9, 7, -14, 8, 11, 0, -13],\n [-15, 9, -18, -6, 7, -5, 8, 7, -16],\n [9, -9, 20, -19, 1, 16, -6, -3, -16],\n [12, -18, 8, 13, -13, 6, 7, -14, -15],\n [-15, 1, 2, 7, 5, 12, 3, -6, -10],\n [20, 0, 1, 14, -9, -8, 14, 19, 3]]\nB =\n[[-18, 3, 15, -8, 6, -11, 20, 2, 18],\n [-9, -3, -2, 17, -19, 20, -17, 20, 11],\n [-2, 12, 3, 4, 19, -20, 10, -17, 9],\n [-9, -10, -1, 18, -3, 15, -10, -19, -13],\n [-12, 5, 12, -14, 9, 20, -11, -20, 8],\n [-18, 11, 10, -17, 9, -5, -2, 19, 1],\n [10, -16, -17, -19, -1, -20, -3, 15, 7],\n [0, -13, -15, -3, 16, -6, -14, 19, 12],\n [13, 18, -17, -9, -2, -5, 8, -12, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34307", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -14, -15, 6, -11, 0, -13, -2, 9],\n [11, -15, 18, 17, 9, -9, -18, -8, -3],\n [-13, 11, -17, -2, -3, 17, -9, -8, 16],\n [-20, -3, 14, 6, 17, 3, -3, 15, -12],\n [19, -20, -17, 12, 6, -19, -16, -2, 17],\n [-6, 5, 1, -2, -17, -1, 2, -15, 17],\n [0, 4, 4, 5, 6, 8, 1, 20, -3],\n [3, -6, -15, -14, 8, 20, -19, -7, 1],\n [-6, -8, -20, -5, -8, -9, 17, 18, -8],\n [-3, -13, -10, -15, -17, 7, 2, 3, 0]]\nB =\n[[-15, 4, -8, 18, -4, -6, -8, -5, -13, 17],\n [-12, -18, 19, -8, -7, 14, 9, 0, -9, 4],\n [-1, -15, 2, 0, 11, -17, 19, -3, 11, -4],\n [20, 7, 8, -10, -8, 17, 1, -4, -11, -17],\n [13, -20, 11, 17, 12, 10, -16, 17, -16, 15],\n [-12, -20, -3, 16, -7, -3, -3, 3, 18, 3],\n [-7, -3, 1, -20, 0, 6, -8, -10, -19, -17],\n [7, 9, 20, -4, 12, 2, 8, 0, -7, -18],\n [17, -7, 18, 12, 13, -18, -5, 19, 18, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31997", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 10) of the product matrix AB given:\nA =\n[[-12, -13, -18, 12, 20, 17, -17, 3, -19],\n [18, -20, -1, 4, 9, 20, 16, -11, -10],\n [-8, -8, 16, 14, -5, 14, -7, -20, -17],\n [17, -20, 10, -20, 9, 13, -12, -8, -9],\n [-12, 9, 3, -5, -17, 9, -1, 5, 12],\n [-6, 19, -6, 17, 15, -4, 2, 13, 4],\n [14, 17, -16, -10, -7, -18, 3, 12, 6],\n [4, -1, 15, -10, 19, -8, -4, 18, -15],\n [-11, 4, -16, -14, -2, -17, -11, -3, 4]]\nB =\n[[9, 7, 4, 9, -18, -12, 20, -9, -13, -15],\n [-14, -14, 17, -12, -20, -1, -5, 5, -9, -1],\n [9, 2, 16, 9, -6, 4, 15, 7, -4, -7],\n [14, -3, -12, 20, 5, 16, 10, 7, -5, 2],\n [-18, 16, 3, -16, -19, 10, 19, 9, 6, 18],\n [-12, 20, 8, 16, -6, 9, 2, 0, -2, -7],\n [-19, -10, 11, -12, 9, 13, 13, 13, 18, -19],\n [-10, -6, 17, 4, 15, 3, -6, -6, 9, 9],\n [-18, -19, 4, -14, 15, 6, -14, -12, -16, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-706", "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, 20, 7, -11, -18, -10, 4, -13, 7],\n [-8, 1, -16, 12, 13, -16, 11, -8, 12],\n [-15, -19, -6, 20, 17, 14, 20, -20, 16],\n [-18, 17, 16, -11, 13, 13, -11, 1, 13],\n [13, 20, -7, 4, 2, 20, -19, 13, 14],\n [3, -5, 0, -4, 11, -7, 7, 12, -14],\n [-7, -15, -10, 6, 5, 13, 4, 15, -3],\n [7, -11, 15, 17, -12, 18, 0, 5, 14],\n [12, 4, -18, -2, -9, 9, 13, 20, -13]]\nB =\n[[-7, -10, 19, -13, -2, 0, -2, 12, 1, 20],\n [-18, 17, -12, 20, 10, 6, -1, -10, 16, -4],\n [7, -18, -18, 1, -5, -11, -19, -9, 15, -7],\n [20, -5, -10, 18, 20, 2, 8, -10, -11, 16],\n [-5, -6, 4, 13, -17, -9, -5, 1, -15, 12],\n [-2, -6, 7, -5, 18, -14, 4, 15, -9, 13],\n [15, -18, 20, -9, 20, -1, 4, 8, 9, 7],\n [-2, -19, 0, -8, 20, -7, 10, -4, -9, -5],\n [2, -5, 0, 17, -10, -9, 5, 5, 13, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33953", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -15, -11, -2, -15, 13, -10, -18, -9],\n [12, 10, 19, 5, 12, -12, 20, 9, -14],\n [-11, 19, -3, -4, 7, -14, 5, -7, -18],\n [12, -13, 12, 18, 8, -13, 16, 3, -7],\n [-8, -15, -14, 0, -18, 17, 1, -8, 15],\n [10, 8, -7, 20, -7, -16, -19, -3, -4],\n [19, -15, 7, -2, 7, 5, -17, 11, -5],\n [-15, -2, -5, 2, 19, 18, -11, 0, -4],\n [-2, 20, 6, -2, -7, -17, 7, -12, 13]]\nB =\n[[3, 3, -14, 4, 18, 15, -3, -12, -3, 4],\n [-6, -14, 18, -13, -14, -5, 2, 19, -5, 16],\n [14, -1, 4, -5, 3, 18, 14, 19, -17, -8],\n [-5, -8, -18, -12, 2, 3, 1, 7, 15, -5],\n [6, -6, 5, 17, -20, -7, 17, 1, -7, 1],\n [17, -3, -9, 5, 18, -10, 13, -14, 13, 3],\n [7, 12, 13, 15, -10, 15, -19, -19, -1, 17],\n [16, -13, 13, 12, -14, -16, 11, -17, -16, -1],\n [-20, -13, -16, -13, -10, 11, -1, 18, 15, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 17, 16, 2, 7, -12, -17, -2, -15, 3],\n [4, -15, -8, 17, 16, 3, 2, 12, 15, 5],\n [6, 13, 16, 3, 5, -15, 7, -15, 19, -20],\n [20, 5, 13, 4, 12, 13, 8, 0, -13, -8],\n [20, 18, 10, -19, -5, 6, -4, -9, 3, 11],\n [1, -12, 11, -3, 2, 17, -5, 7, -5, -18],\n [-19, 17, 7, 17, -15, -1, 9, 11, -15, 16],\n [4, -12, -10, 17, 1, 12, 9, 3, -5, -10],\n [-14, -12, -4, -9, 5, -12, -17, 20, -6, 3]]\nB =\n[[-16, 6, -7, 8, -10, 16, 9, -4, -3],\n [12, 13, 4, -19, 3, -15, 18, 15, -18],\n [-14, 1, 9, -9, 12, -12, 6, -15, 0],\n [20, -5, -1, -18, -5, 19, -9, -3, 4],\n [16, -3, 3, -1, 9, 5, -5, 3, -20],\n [18, 19, -11, 14, 16, -8, -16, 4, 15],\n [-13, 18, -7, -17, 18, -8, -19, -6, -4],\n [6, 18, -4, -20, -15, 1, -18, -1, -2],\n [-4, -17, 15, -13, -18, -1, 8, -14, -5],\n [-10, -14, -12, 5, 12, -3, -13, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27115", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[17, 15, 4, -14, -2, -12, -6, -14, -9, -8],\n [-2, 17, 12, 18, -1, 19, -19, 19, -8, 18],\n [12, 16, -11, 3, 5, 10, -10, -8, 16, -7],\n [1, -16, 14, 16, -11, 7, 20, 4, -8, 6],\n [20, -8, 11, 7, 6, -7, 7, -12, -17, -20],\n [12, 5, -20, -16, 9, 15, 4, 15, 9, 9],\n [10, 18, -19, 11, -11, -11, -3, 15, 15, 4],\n [6, -16, 5, 16, -18, 9, 0, -19, -5, 8],\n [-15, 7, -9, 9, 17, -2, -16, 7, 16, 7],\n [-19, -19, -20, 15, 19, -2, 18, 14, -15, 7]]\nB =\n[[12, 7, -9, -18, 16, -8, 12, -5, -6, 18],\n [-13, -9, -1, -18, -12, -11, -14, -11, 1, -18],\n [-2, 3, 2, 3, -14, -19, -17, 18, -14, 15],\n [-5, 19, 5, 14, -19, 3, -16, -4, 13, 11],\n [1, 20, -6, -2, -7, -19, -4, -3, 14, -14],\n [-7, 5, -9, 18, -4, -7, -17, -8, 9, -4],\n [12, -2, -14, -16, -10, 3, -9, -16, 19, -18],\n [-7, 9, 10, 16, 3, -3, 16, 4, -5, 4],\n [-11, 17, 14, -3, 4, 8, 14, -9, -14, 3],\n [16, 4, -2, 14, 11, -10, -1, -14, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -1, 14, 3, 7, -3, 8, -9, 1, -2],\n [9, 8, -18, 11, -8, -12, 2, -6, -2, -14],\n [4, -5, 17, 0, -7, -1, -12, 5, -20, 0],\n [-15, 9, -11, 7, -2, 20, 1, 2, -3, 7],\n [11, 16, 1, -4, 11, -5, 19, 3, -17, 8],\n [14, 5, 11, -7, 1, -17, 16, 1, 20, 2],\n [15, 1, 12, 4, -16, 19, 18, 8, -2, -2],\n [-13, 10, 13, -17, 1, 10, -17, 9, -3, 5],\n [11, 10, 19, -1, -12, 9, -4, -16, 9, -19]]\nB =\n[[13, 10, 9, 5, -12, -7, 0, 10, -13, 7],\n [0, 12, 2, -6, 9, 2, 18, 20, 1, -1],\n [13, 2, -15, -17, -11, 17, 15, -9, 3, -16],\n [19, 17, -15, 14, 4, -16, 18, -13, -5, 18],\n [10, -5, 20, -18, -2, -8, -8, -15, 18, 2],\n [20, -15, -17, 18, 14, 14, -4, 17, 4, 8],\n [-15, -7, 6, 14, -15, -13, 9, 7, 6, 12],\n [5, -5, -7, 3, 10, -20, -1, 11, 1, 3],\n [14, -19, -15, -20, 16, 10, -20, 11, 4, -19],\n [20, 6, -15, -4, -17, 17, -5, -1, 15, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4425", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -20, -1, 6, -18, 11, -4, -14, -3],\n [20, -16, -18, -6, -9, 13, -18, -13, -19],\n [-2, 16, 11, 2, -4, 15, -6, 5, -16],\n [7, 4, -7, -6, -5, 1, 20, -2, -7],\n [14, 6, -7, 9, -19, -3, -7, 18, -12],\n [1, -9, -10, -13, 11, 16, 2, 17, 1],\n [5, -14, 8, 15, 11, -2, -9, 20, 17],\n [5, 10, 20, -8, -18, 8, 11, 7, -9],\n [-1, -16, 9, 19, 16, -10, -14, -18, 16]]\nB =\n[[4, 16, -1, 6, -13, -1, 0, 16, 14, -12],\n [2, 10, 9, 4, 9, -16, 5, -16, -4, -7],\n [3, 1, -20, 19, 8, -6, 10, 16, 16, 20],\n [2, 9, 4, -18, 5, -7, 4, 18, -4, 3],\n [-7, 6, -4, -10, -7, -9, -14, 16, 12, -4],\n [-3, 16, -17, 14, -4, -5, -18, -2, -2, -15],\n [-2, -7, 2, -8, 20, 8, -10, -12, -18, 7],\n [-11, 8, -2, -17, 19, -5, 4, 14, 17, -7],\n [-15, -8, 0, -12, -18, 0, -16, -17, -16, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6143", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -11, 16, -17, 14, -3, -6, -19, 15],\n [2, -15, -12, 4, 20, 15, -4, 5, -11],\n [-15, 3, 15, 19, -5, 20, -9, -12, -19],\n [1, -4, -14, -1, 15, -4, 13, -11, -11],\n [-5, 18, -4, 0, 0, 9, -20, -10, 10],\n [6, -3, -20, 11, -14, -12, 5, 12, -8],\n [-14, 15, 19, 3, -7, -12, 0, -16, -14],\n [-18, 3, 4, -4, -10, 19, 5, -19, 9],\n [9, -10, -18, 17, 8, -17, 11, -5, 1],\n [-3, -10, 14, -1, -13, -6, -3, -12, -15]]\nB =\n[[-6, 0, -8, -15, -18, -16, 10, 17, -3],\n [9, 9, 20, -13, -5, -9, 3, -4, -12],\n [14, 7, -2, 2, -5, 7, -9, 0, 10],\n [10, 5, -8, -2, -3, 15, 20, 15, 6],\n [-17, 9, 2, -17, -2, -11, -2, 13, 20],\n [8, 16, -19, 6, -12, -16, 8, 8, 20],\n [-1, -8, 11, 7, 17, 4, -10, -2, 2],\n [-4, -16, 9, 16, 17, 7, 16, 7, 4],\n [-11, -2, -19, -17, -2, -3, -9, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[9, -13, 18, -4, -3, 19, -6, -1, 11],\n [10, 5, -9, 7, 2, -17, -17, 9, 19],\n [-12, 5, 12, -18, 15, -7, -19, -17, 16],\n [2, -10, 14, 13, 0, 14, -12, -7, 9],\n [-19, -4, -6, -10, 8, -10, -1, -18, -14],\n [-20, -8, 20, -2, 9, -5, -3, 10, 14],\n [7, 20, 4, -9, 3, 11, 2, 5, 20],\n [-16, -8, -19, 6, 3, -17, -1, -12, 18],\n [4, 16, -18, 0, -12, 2, 1, -4, -8],\n [-12, -1, 2, -2, -3, -4, -5, -8, 0]]\nB =\n[[15, 15, 19, -5, -17, -16, -2, 8, 13, -16],\n [-7, -6, -11, 10, 6, 20, 3, 0, -4, 18],\n [7, -1, 12, -8, 17, -15, 7, 19, -13, -11],\n [2, 11, 5, -20, 13, -17, 9, -18, 11, 5],\n [20, -7, -19, -17, -12, -11, 15, -13, -4, -2],\n [1, 14, 4, -1, 4, -6, -17, 6, -16, -1],\n [4, -10, 0, -5, 18, -17, 2, 10, 6, 17],\n [-12, -14, -1, 8, -1, 6, 13, -6, -5, 15],\n [14, 11, -17, -6, 14, 7, 12, 13, 5, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-18, 8, 20, 2, -2, -20, 13, 3, 17],\n [15, -20, 9, 2, -7, 18, 6, -3, 0],\n [16, 17, -2, -5, 6, -9, -18, -20, 5],\n [9, -4, -8, 5, -14, -5, 3, -19, -8],\n [9, 14, -7, -7, 6, -14, -16, 16, 9],\n [-5, -1, -17, -5, 17, -15, -2, -5, 4],\n [6, 5, -14, 3, 8, 0, -11, 10, 13],\n [-15, 20, 9, 3, -2, -15, -6, 19, -19],\n [19, -6, 1, -2, 2, 15, -19, 4, 3]]\nB =\n[[-2, -16, -12, -8, -13, -9, 7, -2, -16, 0],\n [12, 20, 5, 12, 6, -18, -8, 20, 4, -18],\n [-1, -11, -15, -18, 18, -6, 19, -11, 16, 0],\n [-7, -13, 14, -16, 12, 16, 14, -10, 8, -3],\n [16, 11, -4, -19, 7, 12, -7, 17, 9, -14],\n [15, 5, 20, 3, 0, -7, -6, 11, -7, 11],\n [5, -3, -19, -2, 3, 4, -19, 13, -12, 13],\n [5, 19, -15, -9, -12, -11, 0, -5, 16, -4],\n [14, -7, 8, -9, 12, 2, -17, 15, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-1, -9, -17, -6, -10, 13, -18, 18, 11],\n [8, 0, -2, 13, 14, -3, -9, -6, -11],\n [0, -19, -2, -5, 17, 14, 14, -16, -15],\n [18, -7, 7, -12, 9, 17, 2, -17, 14],\n [4, 14, 13, -18, 18, 2, -12, 3, 0],\n [4, 1, -14, 7, -14, 14, -3, 4, 9],\n [-12, -15, -1, -3, 8, -20, 17, 20, 5],\n [-12, -17, 14, 12, -4, -19, -11, 19, 2],\n [-16, -3, -18, 1, -1, -20, 12, 12, -5],\n [-18, -10, -10, -7, -18, -1, 16, -1, -10]]\nB =\n[[10, -20, -15, 15, -5, -14, -19, -14, 19],\n [17, -16, -18, 1, -12, -16, 17, 11, -7],\n [6, -12, -2, 6, -12, 12, 20, 17, 3],\n [-12, -6, -1, -3, -16, -8, -7, 4, 6],\n [-7, 12, 12, -16, 15, 13, -1, -4, -5],\n [11, 11, -15, 17, -2, -7, 15, -3, -12],\n [9, -6, 0, -2, 12, -2, -15, -17, -11],\n [-14, -19, -19, -9, 2, 3, 8, 4, 2],\n [16, 19, -18, 1, -12, -2, 2, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[16, -8, -12, -9, -16, -2, -9, 8, 16, 12],\n [-15, -6, 13, 0, 8, 17, -18, 11, -19, -13],\n [6, -17, 17, -8, 16, 4, -20, 0, -12, -12],\n [20, -1, 8, -19, -17, 7, -6, -1, 1, 19],\n [-18, 0, -18, -11, 1, -13, 14, -12, -14, -1],\n [-19, 15, -11, 0, 18, 16, 19, -2, 20, -12],\n [14, 6, 18, 3, 7, -4, 1, 2, -7, -3],\n [8, 20, 13, 8, 17, -3, -20, 4, 3, -11],\n [5, 13, 11, 19, 11, 7, 13, -17, -8, -16],\n [17, -12, 17, -5, 2, -13, 14, 18, -20, 5]]\nB =\n[[8, 20, 15, -13, 4, 19, -1, -19, 11, 4],\n [-11, 6, -9, 2, 16, 17, -8, 13, 16, 19],\n [-11, 17, 0, 0, -14, -5, -17, -2, -4, 11],\n [10, -16, 9, -10, -11, -2, 12, -19, 14, -11],\n [11, 8, -5, 3, -11, -9, 19, 20, -18, 7],\n [10, 19, -6, -1, -3, -2, 9, 19, -12, -9],\n [-16, 17, 14, 7, 13, -1, 0, -8, -12, 20],\n [16, -9, 3, 5, -14, -11, 15, -9, -4, 19],\n [14, -14, -15, 13, 13, -20, 4, 0, 6, 8],\n [15, -9, 9, -17, -12, -1, 16, -4, 14, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "787", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[17, 15, -7, -4, 3, -15, 4, 1, 3],\n [4, 13, 18, -8, 7, 3, -15, 16, 17],\n [16, -12, 2, 20, -10, 14, -2, 7, -2],\n [9, -13, 11, -16, -16, 13, 5, 13, -8],\n [0, 16, -20, -5, 15, -20, -10, 11, -18],\n [2, 20, 0, 6, 14, -10, -19, -13, 12],\n [12, 7, -14, 17, 11, 8, 13, 15, -15],\n [-19, 0, -8, 6, 3, -16, -9, -11, -1],\n [-17, -2, 12, -14, -7, -4, -4, -13, -14]]\nB =\n[[2, 2, 5, -10, -5, -1, 19, 18, -2, 13],\n [-11, 4, 7, -15, 18, 4, -1, 20, 16, 10],\n [-18, 17, -6, 20, -11, -15, -16, -20, 11, -4],\n [-16, 13, 1, 19, -12, 7, -4, 1, -7, 6],\n [-1, 20, 16, -2, -8, -8, -17, 16, -9, 12],\n [-3, 10, -1, 8, -17, -14, 16, -15, 13, 0],\n [4, -19, 11, -17, -18, 20, -6, 12, -14, -17],\n [12, -5, -14, 4, -5, -11, 13, 1, -19, 6],\n [7, -9, 4, 10, 12, 3, -18, -14, -2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5057", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, -11, 1, 8, 18, -2, -5, 3, 5],\n [19, 3, -12, 3, 20, 12, 12, -19, -12],\n [-16, -17, 17, -20, -4, -14, 6, -10, -9],\n [2, -14, -2, 9, 5, 15, 13, -14, 19],\n [-4, 19, 17, -15, -17, -15, 16, 8, 1],\n [-6, -14, 0, -12, 17, 8, 13, 7, -10],\n [-10, 18, -16, 3, 19, 8, 6, 6, -15],\n [-8, 14, -9, 16, 16, 17, 16, 20, 6],\n [1, 6, 0, -7, 6, 2, -10, 19, 9]]\nB =\n[[8, -4, -12, 19, 3, 6, 19, -15, -12],\n [0, -2, -16, 20, 6, 13, -6, -20, -14],\n [20, -3, 6, 3, 2, 11, 10, 19, 19],\n [-16, -7, -3, 20, -4, -9, -15, 18, 9],\n [14, 9, -4, 6, -2, -9, 0, 0, -14],\n [9, 10, 7, 20, -18, -13, -5, 2, -4],\n [8, 17, 7, -11, -16, 9, 18, 16, 20],\n [-10, 19, 17, 18, 5, 12, 11, -2, 16],\n [-11, -6, 18, -2, -3, -10, 14, -15, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29809", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, -5, 19, 14, 5, 7, 14, 11, -11, 2],\n [3, 7, 3, -4, 15, -13, 14, -11, -7, 12],\n [-11, 8, 0, 18, 8, 11, 17, 17, 15, -12],\n [13, 8, 18, -6, 2, -1, 13, -8, -14, -18],\n [3, -16, -12, 19, 8, 15, 9, 20, -13, -6],\n [6, 2, 1, -20, -20, 11, 12, -14, -10, -11],\n [12, -3, -14, -7, -13, -20, 11, 4, 8, -10],\n [-15, 15, 9, 7, -7, 15, 3, 18, -12, 11],\n [18, 1, -12, -1, -3, -10, 12, 10, 7, 15],\n [15, -19, -19, -4, -8, 1, 20, 2, 12, -20]]\nB =\n[[15, 18, 15, 14, -8, 1, 11, 2, 19, -18],\n [-10, 8, 20, 5, -8, 17, -5, -18, 0, -15],\n [16, -6, 4, 8, 10, -8, 18, 2, 8, 9],\n [9, 17, 14, -8, -15, 5, -9, -4, -1, 13],\n [-5, -1, 15, 20, 19, -7, -5, 18, -15, 18],\n [2, -18, 5, -9, -17, 19, -14, 4, 19, -20],\n [20, -13, 13, -17, -4, 9, -2, -16, -12, -2],\n [9, -20, 1, -17, 15, 12, -4, 14, 9, -13],\n [8, -17, -10, -3, 11, -6, 16, -13, -12, 16],\n [-18, 11, -6, 1, -15, -10, 0, -4, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2389", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-17, 15, -17, -20, -7, 9, -15, -6, 19, -18],\n [10, 12, -17, -10, 2, -14, 12, -11, 17, -2],\n [7, 2, 2, -5, -6, -10, 13, 14, -7, 4],\n [2, 0, 13, 11, 0, 7, 3, 12, 20, 16],\n [-7, 9, 19, -3, -12, 0, 7, 0, 17, -16],\n [-1, 5, 1, -11, 16, 16, -12, 5, -5, -15],\n [-2, 19, 1, -16, 20, -5, -15, -11, 13, -2],\n [6, 18, -8, 0, 16, 19, 7, 10, 3, -1],\n [14, -17, -13, 9, -5, 8, -10, -10, 13, 17],\n [14, 9, 10, 15, -12, 3, 4, -17, -8, 0]]\nB =\n[[4, -5, 8, -13, 20, 16, -4, 15, 3, 4],\n [-14, 14, -15, 1, -15, -17, -10, -3, 20, -19],\n [-8, -7, -7, 0, -11, 9, 1, 10, 12, -14],\n [-5, -15, 11, -20, 7, 12, 4, 2, 12, 13],\n [8, -11, -15, -1, -4, -1, 5, 19, 20, -19],\n [0, 16, 4, -12, -12, -3, 2, -13, -17, 6],\n [0, 1, 8, 14, 2, -15, -17, 15, -20, -10],\n [-4, -9, -19, -12, 1, -5, -3, 17, 20, 12],\n [10, 0, -4, 13, 17, 19, -20, 5, 13, 20],\n [20, 7, -13, 18, -9, 19, -11, -2, -11, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1210", "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, -15, 7, 14, 1, 0, 20, 0, 16, 19],\n [12, -6, -3, 18, -16, 0, 13, 7, -18, 15],\n [-18, -5, 12, -4, -3, -17, 1, -12, -14, 9],\n [-2, 20, 4, 16, 7, 5, -13, 17, 14, -5],\n [-10, 13, -3, -2, -14, 2, -18, -18, 8, 12],\n [2, -17, 20, -19, -6, 18, 10, -8, 17, 6],\n [15, 7, 14, -3, -12, 8, -19, 17, 9, 7],\n [7, 16, 12, 16, -14, 6, -12, -2, 15, -14],\n [14, -16, 2, -13, 17, 8, 14, 3, 14, 10]]\nB =\n[[14, -1, 11, -9, -16, -19, 19, 19, 14, 15],\n [-11, 8, 15, -5, 6, 17, 8, 13, -10, 10],\n [17, 3, 20, 3, 13, -1, -20, -6, -15, 1],\n [17, 15, 10, -8, 6, -18, -19, -20, 14, -1],\n [-9, 7, 2, -5, -19, -19, 17, -14, -13, 20],\n [0, -15, -8, -6, 2, -15, 19, 0, 14, 14],\n [7, -6, -7, -5, 8, -10, 18, 4, -15, -5],\n [10, 13, -2, 7, -5, 0, 13, 1, 1, -17],\n [18, -6, 9, 0, -6, -18, 4, 17, 1, 7],\n [-16, 13, -9, -19, -1, 7, 4, -13, 20, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33657", "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, 4, 11, -5, -19, -7, -18, 0, -6],\n [-5, 13, 5, 10, 1, 8, -12, 7, -4],\n [11, -15, -1, -17, -2, 19, 2, -14, 5],\n [-19, 20, 20, 18, -16, 3, -14, -13, 2],\n [-20, -14, -15, 4, -20, 12, 0, 8, -6],\n [17, 1, 11, 17, -4, 15, -8, 17, 2],\n [-16, -2, -4, -3, 5, -12, 6, 0, 5],\n [4, -7, -11, -16, -2, -4, -15, -10, 8],\n [11, 13, -1, -20, -3, 1, -10, -6, -4]]\nB =\n[[2, -7, 3, -3, -18, -14, -3, -9, 5, -19],\n [3, -13, -3, -1, -1, 20, -14, -6, 18, -3],\n [4, 15, -19, 4, -16, 17, -18, 7, -12, -19],\n [1, -18, 10, 4, 13, -18, 20, 6, 16, -10],\n [-2, 16, 17, 9, -12, 16, 5, -2, 20, 3],\n [-8, -15, -1, 12, 7, 5, 10, 18, -1, -5],\n [9, 8, 18, 0, 2, 1, -14, -7, 20, -20],\n [-3, -13, -9, -15, -3, 20, 20, -16, -16, -5],\n [-19, 14, -3, 16, -18, 12, 20, 0, 16, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26038", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 13, -16, 2, 20, 12, 12, -14, 1, -6],\n [-13, 20, -5, -20, 8, 13, -18, 6, -1, -20],\n [-14, -9, -1, 4, -2, -13, -14, 13, -20, -11],\n [-3, 15, -12, 19, -18, 15, -10, -13, 7, 18],\n [18, 12, 8, -15, -3, 20, -13, 20, -17, -6],\n [-18, 10, -7, 1, -12, 1, -1, 0, 0, -12],\n [-12, -13, -6, -6, 1, 6, 14, -5, 6, 9],\n [12, -6, 13, -16, -9, 14, -16, -18, 7, 1],\n [10, -12, 6, -14, 0, 15, -8, -5, 13, -6],\n [20, -9, 11, 15, -2, -9, -17, -8, 10, 10]]\nB =\n[[-14, -9, -6, 3, -13, -20, -10, 3, 18, -19],\n [1, 12, -4, -1, -19, 17, -17, -20, -5, 9],\n [14, -8, -9, 18, -10, -20, 1, -5, -18, -12],\n [5, -10, 20, 8, 1, 6, 7, 19, -6, -18],\n [0, 3, 19, 11, -17, 18, -1, 9, -14, 20],\n [8, 7, -11, 20, -9, -16, 7, -12, -18, -14],\n [-1, -20, -4, 1, 8, 14, 6, 3, -6, -13],\n [15, 18, 15, 3, 4, 0, -18, -15, -11, -14],\n [9, -5, -5, 4, 5, 1, 0, -10, 6, 17],\n [-10, 4, 13, -3, -1, -6, -7, -11, 19, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2773", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -17, -6, -6, 19, 8, 12, -14, -3, 1],\n [4, -17, -16, -9, 1, 20, 2, -17, 6, -19],\n [19, 15, -2, -13, 5, -6, -15, -5, 3, -15],\n [-6, -18, 6, -17, -14, 17, 16, 5, -14, -19],\n [19, 7, 8, -20, -3, -2, -1, 9, 9, -14],\n [1, 2, 14, -6, 14, -11, 3, 17, -18, -5],\n [7, 5, -13, 13, 5, -14, 15, 10, 9, 18],\n [2, -5, 5, 0, -8, 5, -12, -15, 1, -1],\n [3, 4, 12, -2, 18, -13, -9, 7, 10, -5],\n [16, 9, -15, 4, -2, 9, 16, 2, 7, 5]]\nB =\n[[-19, -17, -1, 19, 18, 19, 18, 15, 1],\n [-14, 3, -4, 10, 4, 15, -16, -1, -4],\n [0, 1, 10, 13, 7, -16, 4, 16, 3],\n [-13, 12, -15, -7, 12, -15, -3, -7, 10],\n [-3, 19, 12, 2, 3, 16, -2, 14, 20],\n [3, -1, 11, -4, 11, 7, -3, 5, -13],\n [4, 12, 8, 16, -1, -9, 13, -2, -20],\n [-9, 19, -6, 11, 18, 15, 16, 7, 16],\n [7, 12, 6, 2, 12, -12, 5, -20, 19],\n [6, 3, 13, 2, 12, 1, -3, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7275", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-17, -15, -19, -11, 2, -2, 3, 1, -7, 20],\n [5, 1, 2, -20, 18, 12, 5, 6, 11, 14],\n [3, -9, -9, 15, -15, 19, 11, 3, 19, 6],\n [-18, 11, 3, -14, 11, 7, -12, -12, -17, 17],\n [15, -18, 8, -14, 20, -14, -11, -17, 5, -17],\n [4, -8, 4, 6, -19, 6, -19, 18, -7, 20],\n [13, 1, 14, -3, -3, -15, -7, -14, 5, 5],\n [0, -1, -16, -19, 12, 4, 0, 14, -11, -11],\n [-4, 15, 2, 20, -13, -13, 9, 5, -16, -9]]\nB =\n[[12, 2, 6, -6, -4, 15, -9, -8, 12],\n [20, -19, -11, 13, 5, -15, -4, 16, 20],\n [-4, 8, 6, -14, 3, 8, -13, 17, -13],\n [-5, -11, -17, 3, 17, -19, -14, -18, -2],\n [-12, 12, 8, 9, 11, -2, -17, 0, -2],\n [2, 19, 10, -9, -18, -1, 5, 17, -15],\n [-12, 13, 4, 7, 14, -12, -3, 7, -9],\n [1, 4, 13, 8, -12, 8, -19, 0, 7],\n [-16, 5, -20, -1, 0, -19, -8, 7, -5],\n [-19, -4, -12, -15, -19, 11, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "595", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, -6, 18, 1, 17, 15, -5, -17, -13, 12],\n [3, -7, 3, -5, 9, 2, -6, 1, 19, 16],\n [-3, -8, -1, 13, 16, -17, -17, -12, -9, 1],\n [11, -8, 18, -14, 2, 19, -7, 18, -4, -14],\n [20, -2, -12, -18, 0, 17, -8, -10, 2, -7],\n [-3, -11, 5, -15, 2, 19, -16, 18, 17, 7],\n [-9, -10, 4, 11, 8, -12, 1, -9, -17, -14],\n [4, -17, -5, 12, -16, -17, 8, -2, 13, -5],\n [19, -19, -12, 12, -2, 8, -3, -7, -14, -9]]\nB =\n[[-13, -6, -6, -13, -1, -18, -10, 6, 13],\n [9, 15, 13, 14, -19, 0, 2, -6, -13],\n [1, -14, 1, 16, 5, -11, -5, -20, 12],\n [14, -17, 3, -6, -16, 7, 4, -12, 19],\n [-20, -2, -5, -4, -19, 0, 3, -11, -15],\n [-7, -1, -6, -3, 8, 20, -5, 20, -5],\n [-16, 6, 7, 11, -15, -20, -10, -13, 0],\n [-7, 4, -7, 7, 20, -10, -12, -2, 3],\n [20, 0, -2, 0, 20, 17, -8, 1, -19],\n [-1, -17, 12, 10, 8, -16, -17, -18, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-15, 11, -4, 5, -1, -5, -20, 10, 7],\n [5, 10, 11, 17, 16, 1, -12, 4, 15],\n [-8, 20, 9, 16, 9, 20, -8, -18, -4],\n [-20, -10, -17, -8, 0, 19, 11, 5, -20],\n [0, -9, -12, 15, -12, 1, -18, -19, 11],\n [-11, 14, 7, -17, 16, 20, -10, 1, 10],\n [11, 17, 13, -10, -4, 16, -1, 14, -8],\n [4, 10, -5, 0, -11, 12, 18, 10, -6],\n [-12, -9, -4, 2, 14, 11, 20, -18, 17],\n [20, 3, -9, 4, -17, 12, -20, 16, 12]]\nB =\n[[-1, -13, -1, -17, 10, -18, -13, -4, 17, -14],\n [-11, 18, -14, -17, -20, 3, 0, 17, -15, 8],\n [-19, -2, 17, -9, -4, 5, 0, 5, 0, 0],\n [-7, 14, -5, -8, 16, -14, 11, -19, -20, -13],\n [14, 17, 9, 12, 1, 6, -13, 1, -14, 10],\n [12, -14, -6, -17, -10, 2, 20, -14, 7, -19],\n [-4, 3, 11, 14, -20, -2, 2, -5, 11, 14],\n [20, -3, -13, 0, -9, 15, 9, 15, 15, -15],\n [0, -8, -9, 5, 10, 8, 5, -18, 19, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "793", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-14, -6, -14, 19, -13, 10, 18, -10, 18],\n [-9, 5, -4, 10, 3, -13, -18, -2, 16],\n [-5, -10, -2, 7, 17, 2, 8, -11, 10],\n [0, -1, -10, -16, -15, -2, 2, -6, 14],\n [12, -2, 8, -6, -3, 17, 5, -3, 1],\n [-18, -19, -12, 9, -12, 17, 20, -4, -11],\n [-11, 3, -4, -13, -2, -6, 1, -10, -8],\n [-5, 9, -19, 20, 20, -18, -4, 13, -5],\n [14, 0, 3, 10, -7, -5, 7, 17, 5]]\nB =\n[[1, 3, 14, 11, -20, 9, -8, -9, 15],\n [14, 20, 3, -20, 0, -6, 12, -6, -6],\n [-8, 10, -4, -16, -20, 19, 4, -14, 5],\n [19, 15, 3, -6, 12, 6, -10, 19, -10],\n [-12, -16, 5, 14, -6, 8, 1, 17, -16],\n [18, 6, -8, -12, 5, 12, -4, 11, 8],\n [5, -9, 10, 1, 5, 12, -5, -13, -5],\n [9, -10, -5, 2, -19, -7, -6, 3, 15],\n [-19, 13, 9, 16, -11, 17, -15, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 6, 16, -12, -1, 6, 11, -9, -2],\n [13, 16, -8, 10, -11, -7, 7, -6, -5],\n [2, 18, -20, 10, -16, -17, 13, 7, -16],\n [-18, -3, -1, 0, 12, 10, -10, -17, -5],\n [-20, 2, 4, -18, -17, -11, -18, 14, 20],\n [-16, 9, -18, 9, -18, -8, -19, 18, 8],\n [-14, 15, 17, 14, 2, -14, -18, -11, -3],\n [20, 13, 9, -12, 11, -11, 8, -7, -15],\n [-16, 0, -17, -15, -3, -13, -18, -20, 16]]\nB =\n[[2, 6, 15, -1, -9, 14, -16, -20, -4, 11],\n [-17, -19, 4, -2, -2, 1, -9, 16, -18, -13],\n [8, 4, -2, -10, 5, -18, -13, 0, -20, 10],\n [0, 17, 6, 12, -15, -18, -5, -18, -8, 16],\n [-18, -4, -9, 20, 12, 2, 10, -10, -3, -10],\n [8, 10, 3, 6, -2, -1, -4, -9, 11, -19],\n [19, 10, 18, 14, -19, 4, -17, 16, 18, 15],\n [-19, 0, 15, 12, -5, 18, -5, -8, -8, 19],\n [-14, 6, 4, 20, -1, 2, -1, -4, -15, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7332", "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, 20, 16, -18, -2, -3, 19, -17, -10],\n [10, -20, -1, -9, 1, 0, 12, -14, 13, 11],\n [1, 19, 8, -20, 19, 9, -2, -9, 20, 6],\n [13, 1, 17, -16, 11, 6, -16, 17, 18, 6],\n [-7, 19, 5, 7, -16, 2, 14, 5, 4, 14],\n [14, 7, 5, 13, 10, 5, -8, -3, 7, 0],\n [12, 10, -6, 0, -20, -18, 4, 18, -12, 5],\n [-5, 11, 8, -20, 5, 10, -4, -19, 4, 5],\n [18, -9, 19, 7, -8, -18, 11, -7, -6, 19]]\nB =\n[[7, -9, -8, 13, -8, -9, 15, 0, 10, -18],\n [-5, -19, -19, 13, 6, 5, -10, 1, -18, -11],\n [12, -20, 12, -6, -11, 9, -8, 17, 5, 4],\n [12, -6, 5, 5, -4, 9, -5, -19, -9, 15],\n [-8, 8, -16, 8, 2, 17, 3, 2, 18, 20],\n [-9, -4, 11, 2, -15, 18, -19, -12, -18, 20],\n [1, 15, -10, 18, 18, -9, -17, -15, 15, -6],\n [-6, 19, 0, 9, -4, -9, -14, 20, -11, -5],\n [-15, 0, 1, 18, -8, -16, -17, -1, -18, 3],\n [1, -12, 10, -6, -14, -6, -5, 17, -5, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[12, 4, -17, -6, -9, 20, 15, 19, -11, -19],\n [-13, -17, 3, -17, -9, -1, 14, 14, -12, -10],\n [9, 16, -3, 15, -7, 1, -15, 14, -17, 17],\n [-12, 7, -8, 18, -11, 9, -10, -3, 8, -11],\n [-15, -9, -1, -11, -5, -20, 13, -5, 16, -4],\n [-4, -11, -7, 19, 18, 2, 14, -15, 7, 19],\n [-3, 17, 3, -8, -18, 15, -8, -6, 11, -3],\n [-11, -12, -18, 8, -6, -12, 10, 11, -16, 0],\n [-18, 15, 6, -10, -13, -6, -8, -13, 14, 19],\n [-17, -12, 13, -20, 5, 11, 13, 7, -6, 2]]\nB =\n[[-6, -4, 2, -10, 15, 0, 10, -1, 7, 1],\n [0, 18, 17, -3, 3, 9, 17, 13, -5, 18],\n [5, -14, -19, -17, -13, 20, -14, -16, -13, -7],\n [-19, 2, -18, -3, -3, 3, -8, -11, -14, -2],\n [-13, -2, 18, 1, -1, 9, 12, -8, -7, 19],\n [18, -20, -8, 12, 3, -4, -12, 4, -4, -18],\n [7, 0, 19, -5, 10, -20, -3, 4, 5, 13],\n [-16, -15, 7, 6, 1, 10, -10, -1, 4, -4],\n [19, 3, -14, -17, 6, 20, 4, 19, 1, -2],\n [-3, 18, -8, -7, 17, -16, 19, -14, -17, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-13, -16, -1, 13, -1, -15, 9, -7, 17],\n [5, 0, 8, 16, 18, 9, 13, 5, 17],\n [-3, 12, -2, -12, -2, 8, -15, 10, 6],\n [9, 1, 19, 1, -14, 6, -16, -13, -15],\n [12, 9, -12, 5, -20, -9, 3, 3, 11],\n [7, -13, -8, 6, -4, 7, 7, -10, 10],\n [-12, 9, -19, 20, -5, 7, 0, -14, 20],\n [-13, 15, 17, -4, 18, -15, 14, -2, 10],\n [-17, 4, 15, 11, 20, 19, -15, -9, -18],\n [-4, 2, 5, -7, -12, 3, -17, 12, 19]]\nB =\n[[-2, -13, -10, 0, -15, -4, -19, -13, 11, -18],\n [13, -8, 2, -8, 3, -11, 8, 7, 15, -5],\n [-20, -13, -19, -11, 16, -2, 6, -11, 15, 0],\n [-13, -11, -16, -15, 6, -11, 13, 12, -15, -17],\n [-4, -14, 11, -7, 8, 16, -10, 11, -17, -7],\n [14, -12, 10, 4, 16, 19, -9, 5, 4, 10],\n [-10, -19, -12, -13, -4, -2, -12, 15, -6, 8],\n [-9, -20, -18, 7, 8, 16, 13, 14, -9, -9],\n [12, -17, -7, -10, 19, 10, 14, -19, -4, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32521", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -1, 15, -8, -9, 6, 2, -16, -13, -17],\n [-6, -5, 19, -20, 10, -4, 7, -3, -12, 5],\n [7, -20, -17, 1, -15, -18, 6, 18, -15, 6],\n [-4, 14, 0, -3, 12, -11, -1, -9, 11, 2],\n [0, 6, -5, 16, -3, -15, -3, 17, -18, -2],\n [12, -10, -18, 16, -3, 20, 7, 18, 15, -17],\n [-5, 0, 6, -6, -4, -17, 1, 2, -3, 16],\n [17, -10, -17, -19, -18, 8, 5, -16, -17, 12],\n [4, 10, -6, -20, 0, -17, -3, -3, 19, -20]]\nB =\n[[-13, -10, -11, -16, -9, -20, 10, 17, 6, 12],\n [-1, 14, -13, 8, -7, -6, -13, -20, 15, 17],\n [0, 9, -14, -15, -13, 9, 18, 1, -6, -20],\n [-8, -20, 10, 11, 0, -12, -17, -11, -7, 4],\n [-9, 7, -12, 11, -7, 18, 19, -11, -11, -20],\n [-1, -3, 20, 14, -13, -9, 13, 13, 12, 0],\n [1, -16, 3, 2, 5, -7, 8, -10, 3, -13],\n [-16, 4, 16, 16, 16, 5, 11, -4, -20, -19],\n [-14, -15, 18, 4, -12, 0, 2, 8, -9, 19],\n [-6, 1, 5, 20, -17, -14, 18, 3, -16, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}