{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[13, 3, -11, 17, -18, -5, 13, -7, -3, -15],\n [-15, -2, 10, 14, -2, -23, -4, -24, -2, 18],\n [4, 12, -24, -5, 7, -14, -4, 18, -1, 23],\n [1, 16, 2, -10, -11, 21, 25, 18, -23, 11],\n [25, -19, -5, -17, 13, -8, -22, -1, -12, 24],\n [-17, 0, -24, -6, 2, 21, -19, 18, -18, 21],\n [9, -12, -9, 10, 24, 14, -22, -24, -20, 16],\n [-22, 3, -8, 0, 18, 8, -16, 10, -12, 5],\n [22, -11, -18, -12, -3, 14, -5, -10, 19, -8],\n [21, -2, 0, -1, 19, 15, 3, -11, 19, -25]]\nB =\n[[-1, -19, -17, -2, -25, 18, -18, -2, -15, 25, -9],\n [-18, 9, 9, 7, -21, 16, 13, 15, 2, -19, -17],\n [-18, -14, 8, 7, 22, -3, -2, 11, 9, 18, 14],\n [-4, 1, 9, -25, 9, 11, 21, -12, -23, -25, -21],\n [0, -12, 13, 1, -17, -11, -11, 0, 16, -13, 25],\n [6, 13, 23, 6, -22, 4, 11, -3, 13, 19, -11],\n [17, 3, 10, -13, 6, -19, 25, -4, 2, -24, 16],\n [19, -20, 2, 2, 18, 18, -6, 4, -15, 2, -1],\n [13, 7, -25, 1, -13, 15, -23, 13, -20, -18, 1],\n [-17, 11, 7, 25, 16, 18, -2, -11, 6, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "864", "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, 23, 23, -14, 13, -24, -23, 23, 11, 23],\n [-9, 23, -24, -24, 2, -3, 11, 6, 7, -25],\n [-7, -24, 18, 0, 6, -20, 6, -22, -15, -9],\n [12, -2, -21, 8, -20, -4, -15, 22, -10, 7],\n [-17, -20, -10, 3, -23, -6, 10, -7, 0, -23],\n [-7, -6, 6, -19, 15, 7, 14, 13, -8, 14],\n [-25, -15, 2, -1, 24, -3, 5, 4, 16, 9],\n [-19, -10, 0, 22, 23, -24, -25, 22, -14, -21],\n [11, 6, -17, 15, 9, -7, 22, -10, -23, -6],\n [-2, 7, -2, -15, 23, -18, 10, 12, 14, -6]]\nB =\n[[9, 22, -1, 9, -1, 3, -8, 20, -8, -24],\n [9, -10, 15, 10, 7, -22, 7, -12, -5, 22],\n [-6, -18, -19, -23, -9, 7, 22, -14, 25, -4],\n [-4, 20, 4, 12, 12, 19, 25, -18, 1, 1],\n [8, -5, 4, 7, 2, 21, 7, -21, 22, -7],\n [-22, 9, 23, -9, 18, 2, 4, 3, 20, -20],\n [9, 15, 11, -2, 3, 23, 20, 5, 9, 7],\n [-5, 6, -3, 7, -23, -8, -1, 16, 5, -23],\n [14, 20, -2, 24, 6, 21, -4, -3, -24, 1],\n [16, -24, 0, -9, 14, 7, -17, 17, 22, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 16, 0, 9, 24, -1, -2, -13, -19, 10],\n [19, -6, -25, -18, 20, -10, -12, -14, 25, -3],\n [-11, 2, 8, -24, 6, -3, -4, 25, -1, -4],\n [-4, 23, 16, -20, -11, 17, 11, 7, -18, 18],\n [18, -21, 13, -22, -20, 19, 6, 4, 21, 9],\n [14, -10, -13, 24, 16, 4, -7, -9, -7, 2],\n [0, 11, 0, -3, -17, -14, -25, -25, 21, 8],\n [6, 22, -1, 14, 19, -25, -10, 13, -21, -4],\n [3, -23, -14, 0, -10, 25, 11, -4, 3, -12],\n [2, -21, 21, 23, 4, 20, -21, -14, -10, 0]]\nB =\n[[0, 22, -5, 13, 10, 7, 4, 11, -3, -16],\n [-21, 10, 8, 5, -16, -7, 6, -25, -21, 19],\n [-22, -10, -2, -10, -24, 23, 2, 6, 1, -6],\n [-2, -14, 24, 9, 7, 7, 25, 17, 11, -14],\n [-23, -25, 7, 14, -16, 17, 18, 3, -13, -14],\n [5, 20, -24, 25, 24, 9, -3, -9, 0, -18],\n [3, 0, -16, 0, 8, 25, 15, -19, -22, 24],\n [19, -15, 3, 10, -1, -5, 10, -16, 11, -17],\n [-2, 9, 23, 9, 22, 10, -8, 23, 13, 6],\n [-2, -3, 6, 11, -14, 23, -13, -3, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2255", "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, 4, -9, 23, -6, 22, -1, -4, -13, -7, 23],\n [10, -14, 15, -7, -14, -17, -19, 2, -12, 5, -7],\n [21, -10, -21, 9, -14, -1, -5, 10, -3, -10, 13],\n [19, 16, 13, -12, 5, -21, 9, -3, 3, 17, -15],\n [-8, 21, -14, -17, -16, 18, -9, 12, -19, 20, -13],\n [14, 16, -17, 24, 1, -24, -21, 3, 11, 12, -7],\n [-18, 22, 19, -25, -4, -9, -19, -1, 19, -22, 10],\n [-20, 5, -7, 18, 13, 1, -16, 0, -7, 13, -23],\n [19, -13, 24, 2, -6, 2, -18, 15, 13, -25, -23],\n [-13, 2, 23, -1, 7, 12, -20, 18, 19, 6, 19]]\nB =\n[[21, -5, -10, -5, -15, 11, 10, 9, -7, -6],\n [-8, 21, 15, 23, -12, -11, 5, -25, -23, -10],\n [-3, -15, -14, -16, 6, -10, -18, 12, -14, -2],\n [2, -18, 2, 10, 0, -18, 24, 2, 2, 11],\n [15, 10, 1, -9, -17, 7, -6, -13, 2, 22],\n [3, -13, 20, 9, -20, -8, 25, -21, 21, -1],\n [-24, -16, 4, 24, 19, -21, 7, -25, -8, 6],\n [21, 23, -15, -5, 0, -1, -4, 1, 23, -13],\n [7, 8, 15, 9, -25, -5, 22, -20, 2, -9],\n [-21, 5, -21, 12, -23, -3, 11, 11, -16, -16],\n [-7, -9, -5, -12, -17, 20, -25, 25, 19, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51374", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-22, -25, 23, 14, 6, 8, 2, 5, -18, 13],\n [0, 8, -23, 24, -14, -25, 18, -21, 4, 4],\n [-9, 22, 21, -3, -11, 11, -5, -12, -24, -15],\n [25, 13, 12, 8, 12, 24, 8, -8, 4, -11],\n [1, 25, 8, 12, 7, -2, -11, 4, 16, 25],\n [-9, -21, 3, -22, -16, -9, -16, -9, -6, -2],\n [-21, 8, -20, -24, -13, 17, 17, 22, -15, 25],\n [21, -3, -10, 5, -15, -10, -18, -22, 14, -22],\n [-1, -23, 6, -23, 1, 3, 6, 24, 25, -7],\n [-5, -21, -8, 2, 16, -4, -5, -20, -25, -21]]\nB =\n[[15, -14, 0, 20, 8, 23, -12, 0, 19, 1, -17],\n [0, 21, -4, 21, 4, 17, 22, -9, 0, 10, -25],\n [-18, 23, 9, -11, 21, -4, -12, 0, 2, -3, -12],\n [-2, -24, 19, 0, -12, 25, -19, -23, 21, -3, 20],\n [17, 21, 19, -8, 12, 9, 25, -11, -1, 11, 2],\n [-16, 13, -9, 13, -4, 0, 18, -1, -9, -13, -6],\n [-1, -22, -16, -23, 15, 19, -8, 21, 10, 21, -4],\n [8, 21, -18, 14, 23, 18, -7, 16, 15, 11, -20],\n [0, 8, 19, -20, 11, 7, -4, -5, -20, -20, 22],\n [-22, 4, -15, 4, 5, -2, -17, -23, 25, 5, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[11, 10, -2, 5, -20, -24, -6, 2, -15, -22],\n [-11, -20, 23, 4, 12, 25, -24, -11, -15, -18],\n [0, 25, 19, 18, -21, -20, 0, -22, -7, -6],\n [7, -6, 23, -14, 21, -25, 0, -12, 12, 11],\n [-15, 10, -13, 17, -23, 7, -20, 24, -16, -21],\n [-3, -16, 18, -24, -13, 14, -24, -6, -25, 11],\n [-17, -9, -17, -15, -11, -2, 12, 9, 4, 5],\n [23, -21, 18, 24, -12, -15, -17, 8, -14, 9],\n [9, -25, 14, -4, 3, -18, -15, 15, 11, -12],\n [4, 9, -5, 11, -21, -7, -12, 0, -22, -1],\n [19, 16, -1, -8, 14, -18, 13, 14, -12, 6]]\nB =\n[[25, 12, 7, -3, -11, 7, -1, -9, 7, 21],\n [-24, -12, 14, 14, 25, 13, 25, -20, -20, -23],\n [-19, 25, -18, 16, -11, 21, 3, 7, 4, 13],\n [1, 10, 3, 12, 7, 11, 1, 7, -22, -4],\n [-24, -16, -21, -16, 7, 12, -13, 5, 21, 10],\n [19, -2, -11, 3, -18, -21, 3, 21, -22, -14],\n [19, -24, 1, 5, 25, 25, 10, 10, 0, 17],\n [1, -21, -6, -15, -16, 14, 12, -20, -18, -3],\n [21, 0, 20, 17, -14, 0, -13, 14, -8, -1],\n [7, 21, 14, 17, -14, 18, 10, 22, -22, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66973", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, -18, 16, 23, 2, 5, -17, 25, 3, -12, 14],\n [15, -4, -15, -3, -25, 20, 11, -5, 0, 20, 10],\n [-3, -25, 25, 14, -11, -5, 21, -17, -17, -16, 0],\n [15, 9, -1, 0, -15, 12, -24, -19, -8, 1, 8],\n [1, -9, 17, 18, 25, -2, -1, -19, -20, -2, 7],\n [23, 3, 17, -4, 0, 2, 24, -5, 23, -19, -9],\n [-6, 15, 23, -6, -4, 2, 14, 23, -19, -25, 6],\n [-13, 4, -3, 25, -7, 6, 4, 3, 23, 19, 3],\n [4, -10, 14, -7, -8, -25, -12, 25, 21, 24, -24],\n [2, 23, 24, 4, 12, 25, -22, -25, -18, 3, 13],\n [-23, 6, -16, -16, -7, 20, 8, 7, -3, 2, 6]]\nB =\n[[24, -19, 3, -18, -25, -23, -2, -3, -18, 21, 11],\n [-23, 25, 7, 2, 21, -18, 8, 9, 6, -2, -12],\n [6, 20, 17, -10, -22, 11, -5, -12, 5, 22, -8],\n [-19, -16, -19, 7, -3, -5, -7, 22, -7, 10, 3],\n [-8, -24, -25, 21, -21, -6, -15, 16, -24, -23, -3],\n [-14, -6, -21, 11, 12, 4, -17, 8, 18, 9, -4],\n [18, -2, -9, -16, 4, 20, -3, 6, -9, 24, 25],\n [-9, -12, -17, 14, -24, 19, -1, 13, -17, -4, 17],\n [20, -22, 0, 3, 19, 8, -3, 11, -15, -20, -8],\n [-5, 16, 10, 15, 12, 8, -9, 11, -1, 12, -14],\n [-3, 16, -4, -5, 1, 5, -20, 1, 14, 8, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3927", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 6) of the product of the following matrices:\nA =\n[[19, -19, -16, 19, -9, 0, -5, 2, 20, -24, 17],\n [-25, 25, 10, 25, 0, 3, -5, -15, 14, -15, 10],\n [23, 13, 14, 9, 8, 21, -2, -4, -21, 7, 10],\n [21, -6, -7, 9, 17, -9, 19, 17, 8, -17, 0],\n [-24, -17, -17, 14, -9, -25, -1, 17, 14, 16, -1],\n [13, 9, -23, 24, 11, 18, 18, 25, 4, 12, 8],\n [-14, -7, 11, 18, 23, -9, -16, 23, 21, -14, -10],\n [-2, -7, -18, 5, -5, -9, -3, 11, -10, -20, -18],\n [-1, -8, -1, -14, -11, 0, 15, 19, 0, 21, 6],\n [-16, -10, -19, -9, -3, 0, -5, -4, -19, -12, -11]]\nB =\n[[-19, -17, 25, 22, -18, 24, -3, 3, -8, 5],\n [4, 13, 9, -8, 16, 13, -9, -12, 5, -2],\n [9, 18, 19, 8, -23, 11, 17, 14, 0, -3],\n [18, 13, -11, 23, -22, 3, -4, -1, -13, -8],\n [7, -10, 19, 16, 18, -24, 9, 16, 8, 4],\n [-13, -13, -8, 6, 6, 9, 13, 20, 3, 23],\n [3, 18, -10, 18, 21, -16, 4, -1, 13, -6],\n [-21, -25, 4, 23, -23, 19, -12, 4, 24, -22],\n [-8, 11, -1, 22, -25, 20, -11, -17, -11, 23],\n [-2, -22, -14, 11, 11, 17, -20, 13, 20, -2],\n [-15, -13, 8, -1, -19, -22, -18, -6, 3, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1016", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[19, 20, -16, 17, 8, 0, 15, 23, -23, -20],\n [-21, -21, 21, -3, 23, -17, 9, -6, 23, 16],\n [9, 24, -8, -9, -2, -23, 6, 9, 12, -13],\n [21, -1, -17, -22, -12, 11, 8, -15, 15, -23],\n [2, 3, -17, -23, -1, 8, -14, 16, -17, -11],\n [14, -1, -21, -15, 8, -2, -11, 12, -18, -21],\n [22, 0, -8, -20, 11, 22, -13, 2, -21, -13],\n [-9, 24, 14, 19, 6, 3, 25, -23, 14, 8],\n [14, 1, -13, 19, 7, -20, -2, -7, -10, 14],\n [2, 7, 22, 15, -13, 17, 19, -1, 16, 10]]\nB =\n[[1, 12, -19, -21, 17, 19, 25, 5, -3, 16],\n [-16, 6, 17, 4, 13, 5, -8, 10, -24, -12],\n [-13, 3, -14, 13, -24, 6, -13, 20, 1, 23],\n [15, -9, 14, 5, 8, -2, 19, 9, 22, -20],\n [-7, 4, -19, -16, 15, 6, 8, 2, -11, 4],\n [11, 3, -4, -22, -6, 6, 10, 24, -22, 1],\n [-9, -14, -4, -9, -16, -25, -4, 0, -8, 24],\n [-12, 21, 3, -14, 10, 9, -14, -19, 3, -15],\n [7, -20, 21, -11, 6, 25, -15, -3, 0, 8],\n [20, 8, 3, -22, -9, 9, -13, 15, 13, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[3, 3, -15, 6, -24, 21, -12, -6, -4, -15, 1],\n [-23, -9, 18, 2, 3, -5, 21, -10, 11, -6, -20],\n [-7, -21, -23, -25, 12, -11, 8, 9, 23, -1, -2],\n [-14, -8, -11, 18, -10, 1, -18, 20, -1, -9, 3],\n [-18, -11, 1, 20, 24, -19, -23, 3, 18, -2, -23],\n [-6, 20, -11, -1, 4, -12, -19, -9, 18, -6, 10],\n [-17, 12, 22, -4, -24, -2, -18, -15, -13, -9, -18],\n [-5, -8, 4, -8, 20, 21, 5, 12, 6, -15, 19],\n [-1, 7, 12, 15, -18, -15, -4, 25, -2, 15, -9],\n [-14, 20, 6, -11, -10, -4, 2, -6, 7, -16, 14],\n [6, 24, 7, -24, 7, 7, 15, -13, 4, 7, -13]]\nB =\n[[0, -4, 13, -24, 12, 13, 0, 20, 24, -11, 8],\n [16, 18, 23, 14, -15, -23, -20, -17, -20, -17, 13],\n [5, 6, 15, 24, -14, -18, -18, 24, 2, -6, 21],\n [-19, -15, -6, -10, -22, -20, -4, 0, -23, 15, 16],\n [-12, -15, -8, -14, -3, -14, -13, -1, 19, 25, -7],\n [20, 10, 19, -18, 3, 6, 25, 18, -8, -20, -8],\n [-7, -4, 11, 6, 15, -23, 2, -16, 25, 9, 3],\n [-11, 7, -19, -14, 23, 4, -5, 5, -2, -6, 11],\n [-22, 2, 18, -6, -2, 24, 23, 25, 6, 15, 10],\n [8, 10, -24, -11, 8, 10, -20, 13, 16, 25, 25],\n [-14, -23, 19, -8, 14, -5, -11, 7, 9, 0, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1476", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, 22, 4, -3, 16, 18, -12, -12, -24, 11, -21],\n [12, 19, 15, 21, -12, 13, -1, -6, -24, 13, -20],\n [-9, -1, 2, -24, 9, 11, -21, -25, 14, -14, 10],\n [19, -3, 21, 5, -15, -16, -23, -12, -10, -16, 3],\n [-16, -14, 4, 15, -25, -21, -6, -18, 17, -14, -25],\n [-6, 2, 17, 11, 21, 11, -14, 11, 23, 23, 18],\n [2, 21, -11, -20, 18, -6, 24, -12, -24, -17, 11],\n [-6, 0, 3, -25, 9, -20, 11, -21, 7, 23, 25],\n [-12, -14, 16, -6, 24, -2, 17, 8, -1, 24, 3],\n [13, 5, 21, 17, 24, -3, 18, 12, -6, -3, 19]]\nB =\n[[-10, 24, 16, -18, 24, -5, -25, -18, 3, 6],\n [12, -21, 21, -4, 21, 8, -25, 0, 17, -16],\n [4, 24, -8, -9, 0, -18, 21, 14, 23, -14],\n [1, -18, -1, 20, -22, 7, -25, -7, 5, -10],\n [-12, 22, -21, 15, 0, 2, -24, 24, -20, -17],\n [7, 15, -1, 22, -13, -17, -13, 5, 15, -15],\n [-22, 8, 12, 20, -22, 12, -7, -20, 8, -8],\n [-13, 15, -3, -7, 19, -15, -25, -2, -19, -1],\n [-5, -11, -25, -14, -19, -11, -5, -7, 3, -1],\n [7, 23, 6, 23, 9, 18, 12, 0, -15, 9],\n [-18, 20, -12, -16, -24, 20, -17, -23, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5703", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 4) when matrix A is multiplied by matrix B?\nA =\n[[-18, 22, -24, -20, 2, 3, 0, -1, -14, -21, 8],\n [22, 11, -11, 18, 10, -11, 17, 22, -3, -20, 20],\n [24, 18, 17, 19, -5, -3, 17, -10, 21, -11, -1],\n [10, -15, 25, -11, -22, -5, -13, -4, -7, 8, -12],\n [-22, 22, 20, 1, 3, 21, 2, 9, -18, -10, 16],\n [10, 4, -8, -24, 23, -13, -22, 0, -1, 4, -15],\n [-19, 5, 18, -16, 13, -13, 5, -19, 23, 16, 16],\n [10, -6, -22, -19, -25, 18, 19, 16, 21, -13, -4],\n [-5, -4, 2, -17, 0, -17, -11, -16, -2, 16, -18],\n [-2, -10, 23, 0, 1, 11, -22, 24, -2, -7, 10]]\nB =\n[[13, -16, -1, -8, -7, 10, -16, 7, 24, -21, 21],\n [23, 9, 18, 8, 7, -5, -9, -4, 22, 11, -11],\n [9, 2, -19, 6, -15, -16, -17, -12, -13, -1, -24],\n [9, -19, -5, -8, -23, 16, 13, 15, 23, -15, 13],\n [-2, 20, -7, -22, 0, 12, 16, 6, 13, 19, 20],\n [10, 14, 11, 7, 10, -23, -17, -18, 7, -20, 15],\n [13, -22, -13, 23, -24, -21, 18, 1, 6, -5, -18],\n [12, -18, 24, -23, 18, -23, -4, -20, -24, -3, 18],\n [-24, 12, -9, 9, 8, -3, 4, -18, -4, 18, 10],\n [-21, -13, 3, 5, 21, -10, 16, 4, -10, -14, -9],\n [-10, -14, -18, -6, -23, -10, 4, 19, -3, 2, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 5) of the result:\nA =\n[[14, -21, -6, 14, 18, -25, 4, -5, -6, -20],\n [-4, -8, -18, 13, 6, 7, -10, -14, 12, 8],\n [-12, 10, 7, -3, 24, 19, -24, 15, -5, -24],\n [1, -17, -25, -15, -23, -3, 0, -22, -8, -20],\n [9, -4, 17, -11, -4, 11, 16, -14, 21, 23],\n [16, 12, -8, 19, 9, 4, -2, 16, 4, -12],\n [-20, -23, -10, -19, -12, -17, -11, -5, 9, -24],\n [1, -24, 9, -8, -12, -6, -8, -16, -1, -24],\n [-1, 7, 10, 5, -12, -25, 20, -10, 20, -23],\n [9, 15, -20, -1, -13, 8, -18, -5, 8, -22]]\nB =\n[[-1, -11, -22, 19, -14, 6, 6, 2, -13, 5],\n [-12, -6, -8, 3, -20, 6, 3, 17, -24, -3],\n [-7, 5, 25, -21, -7, 8, -16, -1, -24, -15],\n [24, 5, -11, -17, -3, -7, -17, 9, -5, -17],\n [2, 20, 25, -19, -10, -10, 7, -22, -22, 13],\n [14, -9, 11, 13, 3, 10, 12, 13, 24, 11],\n [9, -19, 1, 2, -4, -12, -19, 11, -4, -21],\n [-24, 1, -5, 12, -11, -5, -16, -3, 13, -21],\n [-25, -13, -5, 0, 24, 19, -5, -8, 11, 19],\n [6, 10, -9, 9, 23, -15, -5, 0, -22, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "699", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[22, -8, 14, 9, 15, 3, 3, 12, 16, -5, 16],\n [-13, 23, 15, -9, -17, 15, -25, -24, 22, 3, 7],\n [-16, 24, 14, -5, 2, -15, 8, -18, -4, -18, 23],\n [-11, -9, -3, -2, 19, -7, -21, 6, 18, -25, -3],\n [11, -18, -13, -18, -3, 17, -25, 19, 25, -2, 9],\n [-2, -9, -21, -6, -5, 14, 5, 20, 10, -15, -11],\n [-7, -19, 25, 2, 25, 17, -21, -21, 4, 6, -18],\n [-16, 12, 21, 6, 22, 2, -9, 5, -18, 14, -1],\n [-17, -24, -11, 24, -23, 23, 10, -22, -12, 15, 15],\n [-1, 24, -16, -5, 10, -14, 1, 14, -24, -13, 6]]\nB =\n[[5, -10, 6, 6, 8, -15, -16, -11, -9, 14],\n [-8, -17, -1, 14, -12, -1, 24, -4, 4, -6],\n [-5, 18, 6, 25, 20, 23, -5, 9, 6, 4],\n [13, 23, -14, 15, 21, -8, -5, -13, -5, -18],\n [20, 14, 20, -19, -3, 18, 6, -15, -4, -4],\n [17, -1, -4, 2, 3, -13, -8, -24, 3, -5],\n [-11, 1, 24, 5, -11, 25, -3, -2, 18, -13],\n [-4, 17, 11, 7, -23, -7, -3, 3, 4, 13],\n [18, 21, -1, 11, 21, -18, 16, -10, -18, -25],\n [18, -21, -23, -25, -22, 14, 9, 6, 16, 8],\n [17, -1, -16, -5, 20, 13, 1, 1, -24, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54892", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[22, -13, -17, 10, -4, 16, 0, -14, -9, -12],\n [-12, 8, -6, -15, -10, 25, 5, -20, -7, 11],\n [-22, 21, -22, -6, -16, -2, 9, 0, 11, 12],\n [-5, 14, 13, -5, -16, 12, 20, -22, 19, -6],\n [-9, -19, -22, 3, -12, -23, -2, 11, -10, -22],\n [-2, 8, 4, -8, -7, 5, -7, 23, 20, -7],\n [-4, -2, 19, -14, 4, 12, 5, 10, -7, 22],\n [19, 10, 4, 23, 7, -8, 23, 2, 21, -15],\n [19, 7, -9, -20, -22, -6, 22, 21, 1, -11],\n [-20, 21, -12, -15, 13, -17, 0, -10, -21, -16],\n [24, -23, -13, 17, 23, 4, 19, -20, -9, 19]]\nB =\n[[25, -7, 16, 9, 20, 0, 25, -21, 3, 11, -6],\n [23, -5, -16, -21, 10, -20, 0, -22, 13, 13, 24],\n [9, -25, -2, 10, -20, 15, 20, 18, 5, -6, -2],\n [-1, 10, -5, 4, -2, 18, 16, 4, -4, 2, -19],\n [9, 2, -12, -16, -10, -10, 5, 16, -1, -13, -20],\n [18, -17, 19, 10, 17, -6, -8, 17, -5, -22, 24],\n [7, 1, -19, -20, -11, -8, 6, -15, -6, -2, -11],\n [22, -19, -5, 16, 0, 18, -12, 11, -5, -8, -21],\n [-23, -3, 0, 11, -2, 23, -7, 25, -1, -5, -14],\n [15, 7, 24, -22, 16, -19, -4, 7, -9, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-910", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[2, 17, 15, 13, -4, 23, -9, 8, -20, 20, -20],\n [8, -25, -16, -5, -21, -24, -4, 22, -24, -16, 8],\n [-10, 22, 25, 13, -4, -14, -2, 21, 14, 12, -16],\n [9, 25, 23, 6, -19, -5, -6, 0, -22, 20, -4],\n [-11, 14, -5, -11, -4, 2, -12, 1, 15, 14, 2],\n [0, 23, -24, -1, -23, -18, 18, 7, 16, 9, -20],\n [13, -3, -1, 24, 17, -7, -21, 25, -15, -14, -16],\n [-18, -2, 2, 15, 10, 11, -5, -18, -17, 21, -11],\n [22, 20, 14, -8, 16, -6, -20, -14, -24, -19, -10],\n [-23, 19, -23, 1, 24, 17, 14, 12, 7, 2, -25],\n [-18, 11, 6, 22, 17, 11, -22, 4, -20, 20, -7]]\nB =\n[[6, -17, -14, -15, 20, -10, -25, 19, -5, 4, -13],\n [8, -22, 2, 12, 5, 1, -21, -1, -23, 7, -22],\n [-1, -6, 8, 0, -21, 9, 2, 3, -17, 12, 24],\n [-20, -7, 18, -15, -24, 21, 18, 18, -17, -5, -2],\n [8, -4, -23, -14, 2, 4, 0, 22, -5, 2, 0],\n [7, -5, 9, 8, 15, 25, 21, -8, -15, -3, 22],\n [-4, -9, -21, 18, -15, 4, -11, 1, 9, 7, -6],\n [-10, 8, -24, 9, 14, 2, 21, 13, -20, -17, -6],\n [-25, -18, -3, -23, -22, -1, 21, 12, -11, -5, 9],\n [20, -12, 10, -14, -9, 13, -17, 9, -13, -11, -8],\n [25, 7, -20, 1, -3, 1, 8, 20, 12, -12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1080", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-18, 9, -7, 4, -12, -6, 23, -1, 14, -2],\n [-12, 0, 12, -3, -4, 22, -7, 20, 25, -23],\n [16, -7, -17, 2, -6, 19, -19, -12, -17, -7],\n [21, -12, 12, 10, 14, -9, 4, -17, 7, -1],\n [-12, -15, 9, 15, -12, 4, 15, -22, -22, 2],\n [-18, -24, 15, 20, -4, 15, -10, 3, 23, 22],\n [4, -14, 9, -15, 20, 24, -5, -5, -21, 22],\n [-6, 11, -23, 18, 7, -17, -17, -22, 9, -9],\n [8, -2, 6, -25, -18, 19, -3, 21, 14, -14],\n [-14, 20, 21, -11, 15, -7, 0, 3, -4, 14]]\nB =\n[[-5, 25, 12, -6, 3, 25, -22, -19, 2, 2],\n [-22, -4, -14, 19, -23, -4, 18, -24, -2, 8],\n [1, 15, -25, -18, -3, 12, -20, -4, -1, -8],\n [-9, -14, -20, 0, 1, -18, -7, 16, -25, 3],\n [19, 23, 9, 14, -12, 9, 22, 19, -6, 23],\n [-13, 12, 23, 20, 23, -18, 17, -6, 7, 0],\n [13, -5, 23, 16, 17, 15, -17, -2, 11, 23],\n [15, -9, -2, -5, 25, 13, 15, 13, -13, -15],\n [20, -7, -15, -13, 20, 19, -25, 14, 18, -7],\n [-14, -18, -18, 19, -14, 22, 7, 19, 0, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3287", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -21, -18, -1, 1, 20, -3, 4, 19, 21],\n [-3, 23, 21, -6, -8, -8, -24, -22, 4, 7],\n [10, -8, 11, -7, 21, 2, 14, -6, 23, 7],\n [-14, 25, -11, 15, 13, -24, 3, 15, -16, -24],\n [25, -15, -13, -16, -12, -8, 25, -17, 13, 2],\n [-23, -6, -20, 1, -24, 3, 12, -23, -10, 4],\n [14, -24, -9, 15, -14, 9, 17, -25, 19, -11],\n [0, 11, -5, 23, 5, -1, -3, -2, 12, 2],\n [-5, 17, -8, 10, 9, 19, -17, 12, 4, 18],\n [8, 6, -23, -23, 2, 18, -11, 15, -3, 14],\n [-15, 22, 6, 10, 7, -2, 13, 8, 2, 11]]\nB =\n[[-19, -22, 11, -25, -25, 21, -6, -7, 3, -16, -8],\n [2, 9, 17, 21, 5, 1, -15, 23, 23, 12, -21],\n [-18, 8, 22, -14, 12, -25, 5, -22, 23, 19, 24],\n [-21, 4, -2, -23, -15, 19, -22, 0, 1, 20, 17],\n [1, 16, 25, 24, -20, -11, 4, 16, 11, 11, 16],\n [11, 9, -3, -20, -22, -8, -17, 23, 3, -13, 21],\n [-9, 19, 6, 22, -4, -22, -21, 11, 15, 23, -13],\n [8, 19, -4, -3, 25, -23, 16, 8, 6, 19, 25],\n [23, -5, 20, 18, -5, 18, -15, 13, -22, 25, -25],\n [2, -2, 9, -13, 21, 8, -15, 10, 25, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67487", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (11, 6) of the result:\nA =\n[[-8, 14, -4, -2, -7, 11, 13, -5, -18, 2],\n [-21, -9, 11, 10, -7, 1, 8, -15, 19, 21],\n [-14, -5, -15, 13, 2, -21, -9, -6, 15, 20],\n [-14, -20, -9, 25, -7, 0, 22, 18, 18, 6],\n [-20, 10, 12, -15, 7, -2, -3, -11, 1, -15],\n [25, 24, -9, 25, -12, 1, -8, 2, 25, 21],\n [21, -22, -19, 19, 9, 22, -17, -18, 19, -9],\n [-9, 23, 7, 6, -18, -7, 12, -23, -21, -13],\n [21, 20, 5, -10, 24, 6, -4, 3, -4, 17],\n [-23, -16, 16, -5, -10, -14, -24, 15, -2, 9],\n [4, 4, 21, 9, -7, 24, -18, 0, 23, 14]]\nB =\n[[-19, 4, -19, -23, -25, 10, -1, 11, -25, -11],\n [11, -13, 14, -18, -21, -17, -25, 10, 9, -24],\n [14, -3, -17, 8, 20, -12, -22, 4, 5, 12],\n [-15, 9, -18, -23, -12, -13, 19, 6, 8, 19],\n [-7, 12, -10, -24, 14, -9, 8, 16, -10, 12],\n [-24, -24, 0, -13, 21, 5, 8, 13, -23, -18],\n [-3, -12, 1, 3, 13, 13, -25, -9, 15, 4],\n [-13, -5, -7, -7, -1, -4, 5, -9, -3, 6],\n [-16, -16, 10, -18, -6, 6, 24, -12, 24, 2],\n [20, -2, -11, -4, 4, -22, -13, -3, -18, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-618", "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, 5, -12, 8, -8, 8, -15, 15, -14, 23, -11],\n [5, 23, 3, 0, -8, 6, -4, 12, -9, -3, -2],\n [24, -18, 15, -20, -21, 18, 3, 2, -15, -25, 17],\n [-7, -17, 1, 8, 18, -22, 10, -8, -11, 25, -13],\n [-7, 23, -20, 22, -14, 25, 11, -9, -3, 0, 3],\n [7, 1, -1, -16, 21, -3, -5, -5, 17, -13, 11],\n [7, -2, 18, -15, -9, -22, 21, -1, 4, -17, -5],\n [-6, -7, -7, -14, 11, 16, -9, 11, 22, 13, 2],\n [15, 9, 21, 22, -8, -12, 9, 18, 15, -19, 15],\n [-13, -8, 11, -13, 10, 5, -24, -10, -17, -17, 12],\n [-15, -4, 7, 10, 19, -3, 19, 19, 8, -17, -2]]\nB =\n[[-18, -19, 10, -8, -23, 2, -20, 18, 18, -5],\n [2, 14, -25, 10, -5, 17, 9, -13, 23, -16],\n [18, 21, -16, 20, -13, 11, 12, -2, -24, -4],\n [-9, 10, -12, -16, 9, -1, -23, 21, 12, -9],\n [-14, -2, 3, 17, -1, 10, 0, 12, -25, -6],\n [2, -10, 21, -9, 14, 2, -14, 1, 16, 21],\n [4, 15, 8, 11, -20, -19, 6, 6, -1, 7],\n [-19, -14, -10, -10, 17, 10, -13, -19, 10, 21],\n [25, -17, 6, -15, -18, 7, -3, -1, -18, 19],\n [-4, -22, 14, -23, 3, 15, 3, 8, 8, 2],\n [-13, -11, -3, 18, 0, -22, 0, 14, -17, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54432", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (11, 9) of the product of the following matrices:\nA =\n[[6, -6, 24, -15, -11, 6, 2, -4, 15, -9],\n [0, 18, -19, 16, 0, -1, -16, 19, -7, -15],\n [-13, -18, 14, -22, 21, 5, 2, -15, 17, -25],\n [23, 21, 12, -2, 21, 5, 15, 20, 24, 0],\n [23, 24, -21, -6, 15, -15, 7, 24, 12, 1],\n [8, -11, 6, -5, 20, -21, -20, 12, -4, -8],\n [-12, -16, 20, -13, 5, 4, -23, 4, -20, 3],\n [-18, 18, 19, 17, 18, 7, -9, 22, -15, -13],\n [24, -15, 5, 2, 18, -20, 15, -10, -22, 9],\n [22, 0, -14, -15, 11, -1, -8, -7, -3, 12],\n [-8, 0, -20, -22, 18, 25, 3, 8, -9, 17]]\nB =\n[[17, -10, -24, 8, -18, -13, 16, -18, 4, 6],\n [10, 21, 4, -25, 17, 13, -9, -6, -2, 24],\n [-4, 3, -4, 18, -17, 11, -16, 10, 11, 2],\n [2, 16, 17, -5, -2, 16, 14, -24, -18, 22],\n [1, -4, 11, 1, 3, -23, 18, -13, 19, -16],\n [10, -17, 1, 8, 25, -25, 6, -1, 3, -19],\n [23, -23, -6, -6, 4, 9, 9, 23, 13, 1],\n [0, -12, -9, -8, 19, 3, -6, 1, -8, -22],\n [-25, 24, -25, 0, 19, -6, -3, -16, -15, 15],\n [15, -21, -25, -9, -4, 8, 19, 15, 3, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "722", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-21, -15, 25, -5, 9, -14, 0, 25, -7, 19, -19],\n [21, -19, 0, 14, -21, -5, -12, -22, -3, 16, -6],\n [-11, 24, 19, 3, -18, 15, 22, -7, 22, 13, 20],\n [2, 20, 1, -22, -11, 9, 11, -25, -23, 21, -2],\n [1, 14, 10, 8, 3, -2, -2, 16, -22, -23, 8],\n [23, -3, -3, 19, -21, 5, 15, -20, 11, -16, 14],\n [-19, 13, 12, -5, -6, -23, 25, -4, 21, -22, 2],\n [-14, 12, 25, 10, 21, 15, -21, -13, -3, 24, 4],\n [11, -1, 22, 1, 25, -12, 22, 21, 10, 13, -10],\n [-4, -5, -5, -18, 23, -10, 5, 16, -16, 6, 8]]\nB =\n[[-17, -9, -15, 6, -16, -4, -9, -22, 22, 21],\n [-1, -5, 11, 12, 23, -25, -1, 25, 10, -9],\n [15, -2, -24, 14, -11, 6, 13, -20, -25, 21],\n [-3, 13, -9, 8, 15, 3, -17, -13, -20, -20],\n [-6, -23, -9, 23, -14, 22, 21, 19, -25, -9],\n [-23, 0, -11, 10, 6, 6, -22, -8, 23, -7],\n [17, 9, 14, -12, 7, -12, 8, -22, -2, 3],\n [-7, -20, 7, 23, 14, -7, -25, -21, 1, -10],\n [-20, 14, -13, 22, 9, -7, -14, -10, 17, -16],\n [-1, -6, 5, -22, 18, -3, -24, -4, 25, 11],\n [-18, -19, -12, -23, 24, -10, -7, 25, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1310", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-18, 7, 23, -14, -15, -21, 1, -14, -9, -20],\n [7, -21, 2, -12, -21, 7, 24, 22, 15, -7],\n [-4, -21, -24, 4, 21, 13, -22, 7, -13, -6],\n [-19, -11, -3, -12, -3, -7, 3, -6, 3, -2],\n [-8, -16, 15, -18, 0, 3, -16, -9, -24, -20],\n [-21, 2, 15, -21, -8, 0, -6, 15, 23, 1],\n [23, -14, -19, -23, -16, 8, -1, 9, -10, -24],\n [-2, -16, 12, -4, 0, 17, 13, 1, 3, 21],\n [12, -6, 1, 15, -6, 18, -7, -6, 9, 21],\n [-24, 4, 8, -4, -23, -20, -11, 1, -16, -17],\n [7, 6, 22, -20, 15, 10, -24, 3, -22, -25]]\nB =\n[[-7, 0, -1, -16, -11, -4, 25, 22, -5, -4],\n [10, 8, 4, -1, 19, 2, -25, 23, 19, -22],\n [-19, 23, -17, 10, -7, -25, -16, 10, -17, 19],\n [20, 16, 6, 6, -20, 22, 12, -9, -16, 24],\n [1, 24, 9, -5, -1, 2, 21, -11, -22, 3],\n [-17, 1, 0, -7, 2, -9, 17, 15, 16, 24],\n [-6, 19, 14, 13, 23, -3, 21, 6, 21, 7],\n [20, -21, 17, 22, 8, 14, -15, 24, -23, 7],\n [-15, -10, -8, 4, 22, -16, -8, 12, -7, 10],\n [-13, 20, -23, -16, 12, -25, 1, 20, -18, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[20, 16, -9, -17, -20, 17, -1, 13, 23, 2],\n [7, 11, -17, -8, -5, -24, 17, 12, 14, 10],\n [24, 17, 11, -11, 2, -8, 8, -4, -15, -13],\n [-22, -4, -19, 17, -2, -22, 2, -11, -25, -23],\n [-12, 12, 24, -25, 12, 12, -5, 22, 3, -21],\n [23, -16, 2, -5, 24, -19, -23, 19, 21, -6],\n [-7, 9, -22, -21, -25, -22, -14, 1, 16, -3],\n [-1, -5, -2, -1, 19, 20, 6, 6, -21, 10],\n [20, 16, 23, 16, 13, -10, 7, 23, -5, -17],\n [-20, 25, 19, 9, 13, -4, 15, -21, 16, -3]]\nB =\n[[-9, -14, -3, -10, -23, 4, -4, -17, 3, 21],\n [11, -3, -13, 6, 20, 21, 22, -3, 19, -9],\n [14, -5, -24, 11, -20, 18, -8, 4, -4, 7],\n [4, -9, 17, 6, 16, 25, -12, -16, 21, 25],\n [10, 8, -17, 16, 2, -15, -12, 13, 21, -7],\n [-11, 2, -2, -18, 17, -17, 21, 7, 7, -7],\n [-23, -16, 14, 21, 16, -25, 3, 24, 8, 25],\n [-13, -25, 8, 3, 22, 21, -13, 22, 23, 3],\n [13, -2, 0, -9, -19, -13, -21, 0, 23, -23],\n [-19, 23, 13, -25, 23, -9, 17, -1, -23, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56611", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 17, 6, 0, -10, -1, 2, -17, -25, 3],\n [-4, -10, 15, 25, 18, 25, 15, -19, -12, 3],\n [-7, -7, -24, 15, 19, -11, -23, -15, 20, 4],\n [14, -8, 25, 22, -24, 6, -18, -4, -20, -14],\n [21, 14, 10, -11, 2, 23, 19, -8, -24, -13],\n [19, -11, -6, 3, 16, 3, -23, -7, -23, -12],\n [14, -22, -15, 5, 17, 6, 1, 4, 17, -24],\n [23, -17, 2, 5, 8, -11, 22, -1, 10, -18],\n [-17, 11, 22, 19, 13, 6, -9, 9, 11, -7],\n [18, 3, -19, 2, -17, 2, -20, 3, -9, -10]]\nB =\n[[-3, 5, -23, -5, 0, 10, 16, 11, -4, 16, -14],\n [16, -13, -15, -10, -18, 14, 14, 19, -24, 4, 4],\n [-14, -16, 18, -15, -11, -10, -9, 0, -24, 24, -14],\n [25, 0, -3, -8, 6, 23, 12, 21, -23, 12, -23],\n [4, -25, 4, 19, 6, 2, -5, 20, -13, 1, 10],\n [-19, -4, -16, 13, -11, -11, -22, 6, -3, -20, -2],\n [-6, 11, -6, -14, 7, 2, -18, -25, 11, -4, -20],\n [-5, 6, 9, -11, -21, 20, 24, 22, -20, -1, 20],\n [14, 3, -19, 14, -13, 12, -8, -24, -18, -15, 7],\n [12, 22, 1, -6, -14, 17, 5, 1, 6, -16, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2042", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 6) of the product matrix AB given:\nA =\n[[19, 1, 9, 5, -11, -10, -13, 23, 9, -15],\n [-5, 25, -15, 4, 22, 9, -4, 12, 5, -12],\n [-2, 24, 23, 6, 10, 6, -11, 17, 9, -23],\n [-10, -21, -5, -16, -7, -1, -22, 3, -7, 17],\n [-24, -16, 17, -1, -6, 22, -7, -3, -2, -15],\n [20, 8, 2, -21, -21, 25, -5, -14, 24, -22],\n [23, 16, -6, 12, -1, -12, -15, 6, -15, -8],\n [1, -8, -3, -15, -5, 18, -21, -3, 15, -1],\n [15, -16, -4, -7, -25, -19, -22, -25, -11, 14],\n [-14, -4, -4, 24, 21, -9, 3, 20, -12, 24],\n [-6, 24, 22, 7, 17, -11, -14, 14, -6, 4]]\nB =\n[[12, -23, 2, 0, 4, -13, -13, -24, 11, 23],\n [12, -24, 10, 0, -15, -18, 18, 14, 17, -4],\n [-6, -18, 3, 14, 0, 4, -9, -6, -10, 20],\n [17, -19, -10, 19, 21, 22, 1, -3, -2, -17],\n [9, 25, -6, 11, 16, -9, 21, 5, -18, -11],\n [5, 4, 20, -6, 13, -14, 23, -9, 16, 4],\n [3, -7, 20, -15, 8, 24, -19, 18, 8, -6],\n [24, 12, -2, -16, 6, -11, 11, -6, -23, 11],\n [14, -18, 14, 18, -3, 14, -15, 20, -18, 3],\n [4, -16, 13, 2, 23, 10, -13, 6, 10, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-886", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -4, -22, 5, -8, 12, -2, -3, -4, -24],\n [5, -15, 2, 20, 6, -21, 12, -16, 14, 20],\n [-2, 9, 18, 22, -3, -9, -25, 5, 5, 16],\n [16, 8, -17, -4, -13, -1, 22, -8, 25, -14],\n [14, -9, -11, 16, -11, -11, 13, -13, -9, 6],\n [-17, 14, -6, 0, 1, -5, -8, -13, -10, -17],\n [-14, 18, 12, -7, -19, 9, 22, -8, -10, 13],\n [-22, -1, 6, 14, -13, 19, -9, 23, 11, -20],\n [-7, -13, 0, -12, 5, -22, 13, -18, -1, -13],\n [6, 12, 12, 2, 4, -23, 2, -23, 19, 8],\n [-10, -4, 6, 12, -18, -18, -20, -12, 6, 9]]\nB =\n[[-16, -23, -14, 23, 5, 3, -21, -1, 15, 5],\n [-5, -6, 13, -4, -22, -13, 19, 16, 24, 23],\n [-6, -13, -9, 10, 7, -25, -11, -13, -9, -2],\n [-18, 24, 1, 19, -3, 20, -18, -18, 0, 21],\n [-13, 13, 11, 23, 2, -1, -10, -24, -8, -9],\n [4, 13, -13, 6, 24, 3, 20, 4, -8, -13],\n [17, -5, 4, -5, 22, -9, 14, -7, -11, -17],\n [-16, 18, 5, -3, 4, 7, -17, 21, -25, 18],\n [9, -15, 8, -10, -17, 6, -11, -14, 7, 19],\n [-12, -18, -18, 1, -14, -25, 17, 14, 16, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, 13, 17, 5, -9, 7, 6, 3, -5, -5],\n [14, -3, -20, -4, 24, 12, 11, 19, 25, -18],\n [15, 23, 9, 25, -15, -2, 23, -5, 25, -24],\n [14, -7, 13, 2, -9, -20, -7, 12, 2, -24],\n [12, 11, 25, -22, -4, 0, 23, 17, 10, -13],\n [6, -9, 15, 10, 20, -7, 9, 20, 14, 2],\n [-25, 16, -8, 22, 14, 7, -14, -18, -2, -10],\n [24, -22, 12, 18, 1, -17, 21, -10, -14, 5],\n [-2, -12, 19, -1, 8, -23, -2, 16, -17, 0],\n [-6, 14, -16, -7, -23, -2, -21, -23, 1, -10],\n [23, -11, 9, -14, 15, 18, 0, 21, 8, -3]]\nB =\n[[5, 24, -6, -14, -3, -22, -3, 22, 22, -25],\n [-1, -24, 4, -23, -5, -1, -6, 23, -4, -5],\n [7, 12, -11, 20, -11, 20, -1, -5, -2, -21],\n [-20, 23, 17, 22, 18, 21, -3, -22, 1, -8],\n [-5, 2, 9, -4, 14, -3, -23, 14, 24, -16],\n [-1, 23, -18, -15, -21, 19, 11, 19, 12, 3],\n [-21, -17, 22, -24, -25, 14, 25, 4, -15, 2],\n [18, -14, 13, 0, -13, -18, 2, 4, -17, 13],\n [5, -5, 21, 8, 5, -1, -14, -25, -4, 14],\n [11, 21, -25, -25, 16, 16, -5, -11, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "469", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, 9, 19, -10, -18, 21, -9, -9, 0, -13],\n [-9, 12, -9, 22, -12, 19, -20, 9, 20, -12],\n [21, -18, -11, 1, -13, 23, 5, 9, -20, -21],\n [-4, 23, -3, -1, 8, 0, 21, -21, 0, -6],\n [-20, -20, 24, -8, -22, -9, -12, -12, -13, -19],\n [18, -11, -7, 17, 21, 18, 9, -9, 9, -7],\n [-6, 10, 9, 6, 22, 18, 14, -2, -9, -19],\n [17, 24, -25, 9, 6, 10, -13, -20, -12, 11],\n [22, -11, 21, -22, 14, -10, 2, -10, -22, 19],\n [0, 2, 6, 19, -24, 5, -23, -18, -2, -11]]\nB =\n[[17, 5, -17, 13, 19, -24, -18, -19, 18, 25],\n [13, 16, -10, 9, 4, -16, 12, -8, 24, -21],\n [3, 13, 8, 17, 19, -3, -21, 4, -20, 20],\n [18, -22, 3, -3, -20, 6, 16, -8, -11, 14],\n [6, -17, 11, -16, -6, -20, 22, -23, 16, -15],\n [17, -9, 6, -22, -22, -9, 15, -7, -21, 6],\n [-4, -20, 9, -4, -25, -6, -4, 22, -15, -13],\n [16, -23, -17, -14, -3, -12, 7, -8, 23, 15],\n [-17, -3, -16, -7, 21, -21, 21, -3, 4, -1],\n [2, 8, 19, 22, 21, -1, -16, -12, 16, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3652", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (11, 8) of the product of the following matrices:\nA =\n[[4, 15, -1, -12, 9, 22, 8, -16, 9, -15],\n [-15, -5, -5, -4, 19, -19, -9, -24, -14, 16],\n [-8, -15, -10, 23, 25, -8, 9, 0, -10, -20],\n [18, 17, 21, 21, 22, 16, -14, -13, -22, 13],\n [-24, 0, 1, 1, -11, -18, -19, 21, 20, 14],\n [-14, -13, 17, -9, -9, 10, -5, -18, -21, 0],\n [-10, 10, 2, 3, 21, -14, 11, 4, -3, -10],\n [-12, -16, -19, 19, 11, 3, -23, -11, 10, 21],\n [20, -7, -13, 16, -5, 11, 1, 3, -6, -1],\n [-20, 10, -24, -4, 6, -10, -8, -21, 10, 4],\n [19, -7, -3, 8, -13, 17, 3, 10, -4, 21]]\nB =\n[[10, -17, 13, 25, -7, 12, -20, 21, -11, -6],\n [-17, 6, -22, 24, -8, -21, -6, -3, -15, 11],\n [-4, -22, 3, 18, 8, -13, 16, -17, 16, 5],\n [-19, -22, -7, 16, 4, 5, 9, -5, 5, -7],\n [5, 6, -24, -16, -24, -24, -2, -9, 6, -10],\n [-10, 20, 13, 5, 17, -2, -25, -15, -5, -22],\n [-19, 0, 21, 24, -14, 5, -9, 7, -15, 2],\n [6, -25, 21, 2, 16, -19, -24, 16, -2, -22],\n [18, -7, 0, -15, 14, 24, 17, -15, 19, -23],\n [-14, -23, 16, 1, 23, -24, 23, -10, -24, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 12, 2, -1, 6, -16, 16, 14, 7, -13, 15],\n [16, 21, 11, -10, 19, -4, -6, 24, 17, 1, 15],\n [-10, 8, 6, 0, -1, -24, -14, 14, -17, -14, 0],\n [-17, -16, 6, 8, 22, -6, 13, -24, -25, 25, 10],\n [-2, 1, -24, 5, -12, -24, 3, -11, -14, 11, 2],\n [-6, 13, -2, -5, -16, 20, -12, 11, -8, -2, -12],\n [8, -14, -4, -20, 10, 19, 10, -4, -12, -10, 10],\n [-1, 6, 7, 19, 10, -6, -8, 12, -23, -3, 6],\n [19, -10, -21, -22, -5, 14, 25, -12, 13, 5, -12],\n [-20, -14, -10, -9, 19, -3, -12, -19, 20, 6, -11]]\nB =\n[[18, -9, 15, 21, 18, 8, -21, 19, 1, -3],\n [14, -12, -11, 17, 7, 5, 9, -9, 2, -7],\n [20, -3, 6, 14, -13, -6, 9, -21, -17, 3],\n [-20, -1, 5, -4, -24, 19, -21, 1, -1, -18],\n [-25, -6, 18, -3, 6, -15, 13, 21, -2, -15],\n [3, 0, -10, 9, -6, 20, -23, -25, 21, -25],\n [-9, -24, 3, -6, -20, -18, 3, 22, 25, 7],\n [-23, 9, -21, 1, 18, -14, -6, 19, -6, -17],\n [13, -22, 25, -7, 12, 1, 19, 17, -13, -13],\n [-4, 2, 21, 19, -4, 17, -7, -18, -18, 16],\n [0, 22, 25, 0, -3, 17, -13, 2, -17, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48630", "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, 22, 13, 25, -14, -11, 5, -12, -15, 0],\n [16, 1, -15, 12, 8, 17, -7, -20, 20, 12],\n [23, 16, 2, -25, 9, 14, -18, 21, -19, -15],\n [13, -22, -1, -14, 0, 12, 20, -14, 17, 25],\n [11, 20, -2, -10, -13, -1, -22, -15, 6, 23],\n [-19, 20, -15, 2, 15, -3, 19, -3, 24, 2],\n [17, 21, 0, -1, 3, -7, 7, 10, -12, -12],\n [9, 4, 2, -9, -23, -10, 20, 4, 3, 19],\n [-11, 20, -1, 25, 12, 16, 21, 12, -3, -1],\n [16, -19, -4, -9, -8, 23, 15, -16, -16, -19]]\nB =\n[[22, 24, 12, 1, 7, -25, 18, 8, -22, -9],\n [-22, 17, 0, -22, -25, -19, 4, 24, -17, 9],\n [-18, -2, -7, 10, 24, 17, 1, 6, -12, -8],\n [2, 3, -10, 9, 21, 5, -22, 11, -9, 13],\n [22, 20, 0, 22, 13, 15, -22, 4, 4, -4],\n [-15, -24, 18, -14, 4, 10, -8, 0, -19, -25],\n [0, -3, 0, 19, -20, -20, 18, -18, -2, -4],\n [-7, 11, -8, 5, 11, 4, 16, 7, -16, 11],\n [-14, 4, 1, 13, -17, -5, -14, 3, 7, 17],\n [-11, -24, 13, 18, -8, -23, -19, 17, -8, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55625", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, 11, 7, 18, 5, -15, -22, -8, -22, 23, 8],\n [3, -2, -4, -24, 18, -20, 16, -1, -5, -10, 5],\n [-12, 13, 2, 6, 2, 25, 23, -17, 19, -4, 6],\n [-21, -3, -21, 16, 6, -16, 13, -11, -19, 3, 21],\n [-23, -7, -16, 2, 3, -11, 9, -20, -14, 21, 12],\n [-13, 3, -7, -23, -18, -18, -6, 21, -22, 25, -5],\n [-23, 19, -18, -3, -10, -13, -23, 22, -17, -12, -13],\n [-19, -11, -19, 12, 8, 15, -4, -2, 23, 11, 18],\n [-25, -16, 17, -10, 20, -18, 23, -1, 24, -14, -1],\n [-9, 0, 20, 22, -12, 15, 10, -3, 17, -20, 21],\n [-21, 17, -1, -8, -13, 17, -12, 2, -8, 2, 25]]\nB =\n[[1, 6, 21, -17, 14, 6, -6, 2, 7, -22, 20],\n [8, 22, -23, 0, -18, -20, -10, -2, 22, 13, 4],\n [19, -13, -21, -1, -6, -8, 21, -8, -24, -16, 19],\n [24, 21, -14, 21, -13, 24, 21, -15, -7, 9, 13],\n [0, 20, -12, 19, 18, -2, 15, -25, 25, 17, -4],\n [-3, -7, -8, -14, 2, 2, 7, -7, 2, 23, 11],\n [0, 9, 8, 9, 14, -10, 12, -13, -3, -4, -10],\n [2, 22, 9, 19, 20, -18, 18, -4, -5, 0, 14],\n [-5, -1, 15, -25, -20, -3, 25, -3, 17, 17, -3],\n [6, 4, -13, 17, -8, -3, -11, 7, -5, 13, -3],\n [1, 19, 18, -8, -2, 25, 21, 14, 25, 16, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6963", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[24, 22, -6, 1, -20, 1, -17, 19, 5, -5, 0],\n [14, 22, 19, -13, 23, -3, -6, 11, 2, -9, 2],\n [15, -24, -1, 24, 15, -20, -15, 12, -20, 19, -15],\n [-12, -24, 14, -23, 9, 7, -2, -7, -8, 23, -2],\n [19, 9, -25, 10, -1, 19, 23, 17, 8, -1, -10],\n [8, 3, -7, -3, -7, -1, -10, 25, -17, -25, 16],\n [-7, 7, 8, -10, 18, 14, -8, 8, -1, 19, -20],\n [-5, -20, 6, 15, 22, 17, 13, 5, 16, -16, 4],\n [-8, -2, -17, 5, -11, -22, 14, -17, 19, -17, 0],\n [-22, -9, -10, -11, 9, -21, -21, -6, -11, -8, 21]]\nB =\n[[-24, 3, -13, -22, 16, 19, -16, 5, 15, -18, -23],\n [22, 20, -17, 4, -15, 9, 11, 16, -13, 10, -13],\n [-14, 11, -16, -17, -19, -24, -3, 13, 14, 13, -5],\n [-3, 3, -12, 0, 25, -21, 5, -1, 5, 24, -6],\n [18, -9, 19, -24, -1, -13, 13, 2, 16, -20, -23],\n [9, -8, -15, -6, -21, -7, -4, -7, 21, -10, -2],\n [15, -22, -11, -1, 18, 9, -12, 23, -7, 12, 10],\n [-19, 4, -7, 23, -1, -10, 21, 14, 25, -18, -8],\n [2, -10, -7, 16, -9, 19, -13, -19, 1, -16, 8],\n [10, -1, -20, -2, -8, -3, -20, 3, -1, -9, 20],\n [-2, -15, 0, 25, 8, 2, -23, -15, 12, -12, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-640", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 22, -5, 13, 4, -18, 25, -6, 22, 6],\n [-4, -19, -17, 19, -25, 3, -18, -22, 9, -23],\n [19, 14, -19, 1, -25, 1, -10, 12, -19, 18],\n [-3, 15, -15, 16, 7, 24, 10, 11, 15, -9],\n [9, 22, -21, 22, 6, -23, 21, 9, -12, 22],\n [5, 5, -9, -2, -3, -8, 24, -12, 24, -11],\n [-11, -20, 1, -11, 24, 10, -18, -11, -23, 21],\n [-13, 15, 8, -2, 14, 6, 6, 4, 23, -13],\n [-25, 8, -11, 18, -12, 3, 8, -8, -19, 3],\n [5, -1, 12, -12, -18, 1, -24, -9, 11, -12]]\nB =\n[[-1, 4, 3, -6, -5, -4, 9, 11, -10, 24, 23],\n [17, -9, -10, -24, -22, -5, 13, 8, 4, -20, -9],\n [13, -1, -21, -21, -6, -10, 25, 15, 11, 14, -17],\n [-21, 16, -24, -17, 17, 10, -4, -4, -4, 8, 3],\n [12, 20, 7, -8, -19, -25, 7, -25, -2, -22, -22],\n [-8, 1, 17, 6, 7, 2, 16, 15, 10, -20, -10],\n [8, -3, 24, 16, -2, 23, -13, -8, -13, 23, 11],\n [17, 13, 16, -9, -11, -8, -3, 25, 4, 8, -22],\n [-23, -19, -8, 16, -19, 14, -20, -4, -25, -22, 20],\n [23, 24, 17, 3, -5, 0, -12, -17, 21, -14, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5667", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[25, 25, -20, -6, -2, 1, 12, -18, -25, 23, 23],\n [-2, 21, -19, -7, -4, 9, 4, 3, -4, -15, -6],\n [3, 25, 15, 16, 8, -25, 5, 4, 22, -8, -9],\n [12, -12, -3, -1, -11, 20, -4, -23, -7, 18, 8],\n [9, 24, -25, -5, 3, -20, 11, -25, 25, -25, 1],\n [-5, -10, 18, 14, 0, -10, 2, -25, 10, -16, 17],\n [-9, -3, -19, 18, -19, 18, -11, 8, 20, 19, -22],\n [-12, -12, -10, -19, 6, -7, -24, -16, 24, -9, 11],\n [-14, -20, -4, 6, 15, -6, -25, 21, -20, -7, -8],\n [-20, 19, 7, -3, -3, 0, -13, -19, -11, 18, 1]]\nB =\n[[0, 7, -11, 10, 19, 1, -21, -24, 7, -10, -3],\n [12, -10, -12, 3, 0, 9, -11, -23, -3, 3, 8],\n [7, 15, 15, -3, -19, -23, 6, 5, -8, 17, -19],\n [15, -25, -12, 6, -20, 13, -16, -19, 0, 8, 4],\n [10, -5, -9, 7, -16, 25, 21, 16, 25, -14, -10],\n [15, 6, -11, 1, 2, -9, 20, 24, -24, 10, 24],\n [-19, -13, -11, -1, -3, -4, 0, 7, -15, -16, -1],\n [11, 22, 17, 12, 15, 19, -2, 14, 20, 7, -9],\n [-2, 11, -24, 6, -2, -17, -22, -9, -9, 24, 22],\n [4, 14, -15, -5, -5, -8, 3, -2, -16, 19, -9],\n [-8, 16, 22, -6, 11, 19, -8, -9, -17, -12, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11015", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 5, -22, -8, -6, 21, 17, 18, -17, -13],\n [-11, 1, -11, 2, 11, -7, 0, 0, -1, 0],\n [0, 20, 2, 23, -8, 6, -23, -24, 7, 16],\n [-7, -9, 18, 7, -14, 23, -23, 17, 23, 0],\n [9, -18, 10, -19, 20, 20, 10, -10, -2, -25],\n [23, -1, -16, -10, -10, -18, 3, 13, 2, -20],\n [-10, -6, -10, -19, 15, -12, 17, 0, 0, -12],\n [-19, 7, 0, 19, -6, -23, -22, 0, -15, -24],\n [-12, 18, 4, 23, -14, 0, 18, 7, -13, -12],\n [-2, 8, 18, 0, -5, 2, 22, 10, 14, -24],\n [16, -17, -3, -11, -13, -3, -9, 22, -24, -6]]\nB =\n[[-6, 20, -23, -14, 14, -24, 10, -12, -10, -7],\n [8, 18, 20, -20, -13, 10, -4, -8, -14, 4],\n [25, 14, -19, 6, 22, -7, -20, -6, 1, 17],\n [11, 22, -19, -21, -15, -11, -23, -21, -3, 11],\n [-17, -11, -23, 3, -20, -9, 0, -5, -18, -5],\n [-15, 12, -18, 16, -2, 9, -12, -12, -16, -14],\n [12, 18, 20, 8, 15, -16, -9, -9, -23, 5],\n [25, -25, -14, 13, -22, 16, -13, 8, 16, -5],\n [-4, -22, -8, -21, -7, -24, -14, -9, -16, 8],\n [-20, -18, 25, -15, -14, -17, -24, -18, -15, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18316", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-16, -5, -6, 22, -18, 10, 3, 16, -14, -12],\n [22, 24, -5, -4, -5, 18, 24, 4, 13, -6],\n [-2, -3, -19, -17, -25, 0, 12, 12, 18, -4],\n [18, -16, -20, -9, 25, 24, 12, -2, 25, -16],\n [-18, -5, -20, -5, 13, -2, 7, -8, 2, 6],\n [-14, 22, 16, 1, -16, 20, 16, 6, 16, 0],\n [-1, -15, -3, 8, 14, -3, 3, 5, -19, 14],\n [7, -5, -24, -8, 21, 7, 11, 8, -6, 9],\n [25, 24, -8, 20, -2, -18, 4, 18, -16, -3],\n [23, -15, -24, 0, 10, 7, 21, -13, 14, -1]]\nB =\n[[-22, 16, -7, -8, 11, 4, -7, -3, -10, -25, -14],\n [-2, 8, -18, -8, 22, -21, 0, 4, -13, -7, 3],\n [-23, 0, 14, -14, -24, -15, 18, 2, -8, -13, 11],\n [-4, -14, -24, 11, -19, 0, 0, -2, -14, -10, -3],\n [14, -17, 6, -11, 11, -13, -21, -15, -16, -13, 15],\n [20, 24, -11, 16, -19, 14, 2, 6, 9, -11, 22],\n [10, -5, -20, -25, -22, -15, 18, 0, 11, -3, 3],\n [-5, 22, 19, 19, 23, 1, 13, 14, -13, -3, -10],\n [4, -22, 14, -10, 5, 16, -1, 18, -14, 0, 11],\n [22, 7, 2, -17, -14, -21, 2, 9, -21, 8, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49732", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, -13, 13, 16, 19, 22, -12, -15, 16, 12, -22],\n [7, -19, 15, -18, 11, 25, -16, 17, -11, 12, -11],\n [-21, 3, -7, 25, -16, -14, -22, 5, -8, -10, 14],\n [10, -1, -3, -14, 8, 10, 11, -23, -17, -8, 17],\n [9, 8, 15, -12, -22, 3, 15, 19, 24, -11, 2],\n [16, -10, -14, -21, 8, 16, -25, 13, 6, 0, -9],\n [22, 1, -2, 9, 20, 16, 13, 0, 23, 12, -3],\n [-4, -22, 23, -17, -22, -19, -3, -24, 23, -2, 14],\n [5, 21, 5, 21, 14, 22, 25, 17, 8, -2, 23],\n [0, -10, 21, -13, -11, 1, -22, -10, 4, 18, 4]]\nB =\n[[10, -23, -4, 23, -4, 24, 24, 23, -14, -5],\n [-22, 5, 18, 5, -3, -6, -11, -3, 2, -10],\n [11, -5, -11, -9, 24, 11, -13, -7, 4, 19],\n [-8, -12, 10, 10, -6, -7, 19, 18, -19, 18],\n [-22, 8, -24, -21, -16, 6, 16, 15, -13, 13],\n [-21, -16, -16, 12, 1, 25, -5, -18, -25, 2],\n [23, 13, -12, -5, 4, -5, 23, -17, -9, -21],\n [5, 14, 12, 17, -7, 10, 24, 7, -13, -12],\n [7, 3, 17, 23, 10, 18, -16, 5, -20, -25],\n [-19, 1, -5, 2, -10, 20, -3, -6, 12, -1],\n [2, -21, -5, -8, 21, -20, 3, -7, 7, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "744", "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, -23, 16, -5, 9, 15, 14, -23, -1, 19, 12],\n [19, -6, 18, 19, 8, -5, 22, -3, -20, 25, -13],\n [23, -3, -17, -9, -24, -7, -7, -19, 16, 16, -6],\n [-17, -9, 1, 21, -24, 10, -7, -9, -21, 13, -8],\n [-19, -9, 13, 10, 14, 19, -22, 12, -1, -21, 4],\n [-14, -22, -2, 3, -17, -22, 25, -2, -12, -21, -8],\n [16, -7, -14, -8, -9, 4, -2, -15, 9, -3, -9],\n [-25, -11, 6, -17, -11, 2, -2, 9, -4, 1, -7],\n [19, -14, -6, -25, -5, 23, 19, -25, -16, 21, 6],\n [13, -4, -8, 22, 20, 6, 1, 2, -8, 13, 23]]\nB =\n[[3, -8, 18, -18, 5, 8, -19, 10, -8, 12, -17],\n [-17, 20, -18, 25, 9, -8, -21, -12, 2, 4, -22],\n [13, -6, -1, 2, -14, -24, 17, -12, -4, 5, -3],\n [22, -6, 12, -22, -11, -2, -1, -25, -19, 5, -14],\n [16, -21, 18, 24, 16, 12, -14, 13, -8, -24, -16],\n [-11, 4, 18, -9, -22, -19, 15, 5, 25, 13, 8],\n [-20, 24, 12, 19, 25, 8, 18, -11, -12, -20, 24],\n [11, 24, 6, -23, -23, -4, -4, -16, 25, -23, -14],\n [3, 22, -9, -19, -13, -24, -22, -16, 13, -2, -9],\n [-20, -7, -21, 6, -16, -17, 1, -13, -7, -5, -2],\n [12, -22, -2, 9, -23, -22, 11, 14, 22, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64086", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[18, -1, 14, -13, -22, 20, -12, -13, 1, -20, -9],\n [10, 14, 23, 9, -9, 15, -24, -13, -24, 2, 17],\n [0, -4, 21, 17, -23, 9, -14, -2, -21, -6, 13],\n [13, -13, 15, 19, -14, -13, -16, 7, 14, -10, 19],\n [9, -23, -21, 0, -15, -19, -16, 16, 8, -23, -18],\n [5, -15, 19, -19, 19, -24, -20, 15, 6, -6, 8],\n [24, -10, -1, -14, -19, 13, -9, 19, -15, -20, -3],\n [1, 20, -20, 12, -24, -4, -6, -1, -11, 23, 3],\n [-18, 11, 23, 7, -4, 24, 21, -21, 13, -8, 12],\n [11, 4, 25, 5, -16, -11, 16, 22, 18, -8, -3],\n [7, -10, 12, 9, 8, 2, -24, 4, -13, 15, -10]]\nB =\n[[-21, 2, 13, 19, -6, -2, 1, 4, 19, 1],\n [0, -19, 16, 21, 12, -21, -3, 2, 8, -11],\n [6, 0, 22, 5, -7, -17, 3, 25, 13, -22],\n [-23, 3, -15, 7, 12, -15, 1, 7, -5, 13],\n [5, 12, 20, -24, 1, 10, -15, 21, -8, -25],\n [9, 9, 5, 2, 13, -25, -1, 17, 12, -6],\n [-23, 25, -24, -8, 18, -16, -21, -17, -24, 8],\n [12, 5, -16, 24, -14, 10, -5, 23, 21, -20],\n [22, 23, -23, -16, -21, 20, 0, -5, 19, 0],\n [12, 18, 0, -18, -21, -11, -10, -25, -10, 11],\n [-23, 21, 5, -13, -10, 17, -5, -24, 1, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17777", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[0, 12, 20, -1, -15, -18, -18, 7, -19, 12],\n [-5, -18, 25, -5, -6, -18, 20, 5, 24, 3],\n [22, -17, -11, 4, 0, -16, 3, -10, 10, -6],\n [19, 11, -4, -19, -3, 15, 14, 3, -10, 12],\n [2, 22, 12, 5, -12, 7, -17, 1, -2, -13],\n [0, 3, 25, 23, 17, 2, 2, -18, -3, 3],\n [-21, 16, -19, 16, 10, 15, 1, 20, -24, -1],\n [-17, 1, -25, -3, -16, 16, -1, -23, -20, -20],\n [-24, -8, -3, -24, -14, -4, 11, -6, 13, -2],\n [22, -6, -25, -25, -9, -25, 19, 4, 15, 21]]\nB =\n[[-23, 20, -15, -2, -4, 18, 19, 0, -13, -25],\n [-2, -16, 9, -2, 2, 10, -10, 14, -10, -9],\n [25, -11, -10, -11, 8, -15, -25, -11, 0, 25],\n [-22, 17, -21, 9, -13, -16, -15, -8, 8, 13],\n [15, 16, 24, -3, -19, 13, -23, -14, -19, 23],\n [0, 7, 11, 22, -11, -24, 15, -19, 6, -22],\n [-6, 24, 10, 6, 2, -13, -25, 9, 22, 4],\n [10, -1, -10, -7, -25, -21, 25, -4, -2, 17],\n [19, 11, 10, 10, -22, 10, -8, 24, -10, 15],\n [-8, -4, -24, -5, 10, 18, 13, 21, 13, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, -5, -9, -10, 5, 25, -17, 5, -12, 23],\n [11, -24, 22, 20, -12, 7, 9, 13, 21, 25],\n [-6, -24, 25, 15, -7, 11, -8, -10, -22, -14],\n [3, -19, -12, -14, 9, -21, -9, 16, 6, -16],\n [17, -9, -21, 19, 16, -17, 23, 7, 10, 10],\n [-8, -17, 3, 24, -12, -1, -11, -20, 16, 3],\n [-11, 3, -22, -8, 24, 23, 18, 13, -10, -15],\n [-12, -23, 25, 24, 16, 12, 19, 16, -8, -6],\n [22, -1, 12, -13, -22, -12, 7, 2, 11, -18],\n [18, 8, 18, -21, -21, 5, 19, -17, 16, 6]]\nB =\n[[7, -23, 4, 24, -14, 3, -23, 0, 4, -17],\n [0, -24, -23, 20, -22, -1, 25, -13, 13, 18],\n [9, -3, -17, -24, 15, 18, 5, 18, 21, -24],\n [6, -8, -13, 20, -21, 16, 18, -16, 17, -1],\n [8, 11, 4, -19, -20, -23, -13, -23, 0, -2],\n [-20, 17, 23, 16, -14, 23, 10, -24, -15, 13],\n [8, 0, -8, -5, 10, 14, 20, 18, -4, 4],\n [24, 17, 4, -18, 8, 21, -17, 25, -6, 14],\n [-1, -7, -21, -15, -11, -18, -7, -3, 1, 14],\n [6, 0, 1, -7, 24, 16, 3, 13, 15, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 11, -7, 7, 21, -10, -3, -19, 0, 6],\n [-14, -18, -21, 16, 2, -21, 23, 0, -21, -4],\n [-11, -13, 2, 7, 17, -3, 7, 17, -8, 24],\n [4, 0, -10, -13, 13, 7, 0, 22, -25, 23],\n [12, -24, 23, -20, 20, 24, 12, 16, -2, -8],\n [1, 15, -18, 2, -16, -9, 3, -20, -12, -4],\n [-20, 0, 13, -14, 9, -12, -4, 25, -3, 22],\n [-19, 14, 24, -1, -13, -5, 15, -16, -17, -11],\n [-24, -1, -13, 8, 25, 8, 9, 12, -23, 16],\n [-20, 22, 23, -7, -23, -8, 13, -17, -14, -21]]\nB =\n[[-23, -15, 4, -22, -21, -25, 1, 2, 3, -8, -14],\n [-13, 15, -24, 11, 19, -10, 22, -2, 9, -4, 10],\n [-15, 20, 3, 9, 22, -11, 5, 16, 15, 17, -10],\n [-16, 23, 6, 25, -24, -2, -3, -24, 12, 5, 25],\n [14, 0, 3, -23, -12, -1, 22, -25, -23, 0, -8],\n [-17, 12, -3, -5, -25, -5, 1, 16, -20, 18, 10],\n [2, 19, -9, 14, -23, -14, 13, -14, -24, 20, -4],\n [-3, 4, -21, -17, -5, -15, -21, 9, 1, 23, -24],\n [-2, 5, 7, 13, 4, 20, 11, 25, 2, 5, -15],\n [-3, -24, 14, 15, 1, 9, -24, 13, 11, -5, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2757", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[19, -5, 3, -6, 12, -6, 24, -1, -24, 6],\n [0, -20, 15, -23, 7, -25, 25, -21, -13, -7],\n [-14, 22, -1, 25, 9, -14, 4, -21, 8, -4],\n [13, -13, 21, -23, -6, 5, -21, -2, 14, 7],\n [-18, -2, 24, -6, -10, 24, -14, -13, 19, 16],\n [13, -1, 20, 6, -2, 22, 21, 18, -17, 14],\n [24, -3, 24, -13, 6, 24, -11, 10, 23, -21],\n [-4, -10, 15, -16, -2, -8, 23, -8, -19, -22],\n [0, -21, -10, 9, 0, -8, 3, -3, -12, -11],\n [23, 7, -1, -5, -9, -3, 17, -9, -12, 3]]\nB =\n[[-6, 4, -7, 13, -13, -8, -3, 20, 7, 13, 14],\n [-8, -17, 7, 6, -9, -7, 1, -20, 9, 11, 8],\n [-6, -1, -22, -16, -16, -2, -5, -15, 1, -10, 0],\n [4, 23, -10, -19, -10, 9, -10, 14, -14, 9, 23],\n [-5, 24, 17, 10, 22, -9, 6, 15, -20, -2, 1],\n [-6, -1, -24, -17, 2, 12, -23, -6, -20, 13, 7],\n [-25, 11, -20, 19, 8, 21, -11, 19, 0, -12, -19],\n [20, 5, -2, 5, 3, 16, 6, -9, -12, 14, 10],\n [22, -2, 19, 1, -1, 6, -8, 20, -8, 11, 0],\n [-17, 9, -18, -6, 16, -4, -7, 4, 2, 9, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1432", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, 5, 23, 22, 13, 10, 4, -3, -7, -14, -11],\n [5, 17, 11, 11, -11, 3, 24, 17, 0, 18, -24],\n [-6, -11, -22, -4, 24, 12, -3, 0, 25, -15, 2],\n [-24, -18, 3, -15, 11, -8, 24, -12, -16, 9, -17],\n [9, -15, 18, -14, -23, 13, -12, 2, -15, 13, -1],\n [-5, -16, 17, -11, -7, 22, -4, -5, 18, 6, 24],\n [-3, -13, -21, -22, 2, -12, -18, -17, 25, 9, 11],\n [-5, -8, 7, -18, 25, 23, -9, 17, 5, 8, -20],\n [-4, -12, -23, -14, 10, -14, 19, -24, -24, -11, -3],\n [3, -9, 6, -19, 4, 2, -12, 18, 4, -9, 6]]\nB =\n[[20, -20, 25, -2, -20, 1, -8, -2, 11, -2, 12],\n [8, 14, 21, -11, -15, -4, -2, -25, -8, 18, -14],\n [17, 2, 14, -19, -3, -5, 8, -15, -4, 16, 9],\n [3, 16, 2, -8, -12, -8, 2, -2, -18, 16, 19],\n [-18, -22, 1, 10, -21, 7, 23, 8, 4, -18, 13],\n [21, 0, 11, 8, -19, 14, 2, 13, 13, 2, -12],\n [24, 12, -22, 16, -8, 18, 22, -1, -19, 12, 2],\n [-21, -23, 18, 5, 21, 16, -6, -7, 22, -15, 14],\n [-23, -3, -19, -3, -19, 20, 8, 16, -7, -17, 22],\n [25, -8, 15, 22, 19, 16, -1, -12, 18, -1, -7],\n [13, -11, -10, 1, 14, -16, -22, 25, -7, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4301", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[21, -12, 7, 22, -16, -7, 4, -4, -23, 11, 15],\n [-8, -15, 22, -24, -14, -20, 17, 14, 18, 3, 4],\n [-24, -17, 21, -24, 3, 7, -16, 8, 18, -18, 11],\n [7, 21, -20, 18, 14, 19, -7, 6, 1, -25, 17],\n [7, 14, 6, -21, -9, -18, 16, 8, -17, -3, 9],\n [24, -19, -11, -6, 24, -1, -23, 20, -2, 8, 20],\n [-4, -15, 22, -18, 13, 17, 9, 23, 20, 12, -18],\n [11, 1, 2, 14, 8, 6, -11, 18, -9, 7, 21],\n [20, -10, 3, -17, 7, 23, 3, -13, -5, -5, -21],\n [-16, -20, 25, -13, -25, -6, 21, 20, -18, -16, -17],\n [23, 15, -23, -15, -14, -16, -1, 23, 23, -1, -15]]\nB =\n[[10, 13, 0, -12, 13, 14, -25, -22, 4, -14],\n [9, -13, 5, 12, 17, -3, -22, -10, -19, -4],\n [3, -15, 7, 3, 13, -14, -19, 13, 16, 22],\n [0, 14, -17, 15, 8, 19, -13, 10, -1, -2],\n [18, -9, -24, -13, 5, 3, 24, 2, 1, -11],\n [5, 14, -11, 7, -6, 16, -14, 11, -17, -3],\n [-18, 6, 22, -12, 1, -1, -13, -5, 19, 5],\n [11, 22, 17, -21, -13, 2, 17, -1, 25, 9],\n [21, 13, -19, 12, 6, -23, 19, 13, 11, 24],\n [-4, -18, -9, 1, 7, 20, -9, 16, -14, 22],\n [20, 1, 22, -18, -3, 16, 23, 3, 24, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9957", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[-10, -9, -10, -7, -18, 12, 12, 3, 15, 10],\n [0, 5, 18, -14, -9, -11, -17, 13, 16, 22],\n [-14, 6, -1, 13, -8, -11, 6, -20, 18, 17],\n [9, 8, 12, -21, -8, -10, -18, -1, 6, 0],\n [-4, 5, 17, -16, -14, 2, -20, -6, -21, -3],\n [-17, 3, -10, 20, -4, -18, -6, 25, -12, 13],\n [11, 24, 8, -15, 14, 7, 5, 18, 8, 24],\n [-19, 23, -3, 20, -19, -1, -23, 12, -6, 8],\n [23, 18, 18, 4, -9, -16, 9, -6, -8, 19],\n [18, 1, 23, 10, -3, 6, -16, -15, 12, -20]]\nB =\n[[15, 21, 8, 10, 11, -9, 14, 14, -14, -5],\n [14, -7, -23, -8, 25, -7, 21, -20, -10, -18],\n [22, -8, 22, 17, 13, 23, 23, -14, 19, -16],\n [-19, 20, -25, 23, 10, -5, 11, -2, -1, -19],\n [16, -9, 3, 4, -19, 7, -19, -2, -15, -17],\n [-14, 9, -22, 10, 2, -13, -3, -7, 16, 11],\n [13, -2, -10, 7, -14, 8, -19, -15, 5, 3],\n [-13, 5, -24, 13, -11, -15, 8, 13, -22, -15],\n [3, -24, -10, 13, -13, 11, -9, -5, 18, -7],\n [-19, 12, -18, -13, 11, -24, 15, -15, -2, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -19, 13, -7, -20, 17, 3, 17, 13, -24, -7],\n [-22, -20, 23, 11, 2, 4, -19, -17, -1, 7, -25],\n [25, -20, -8, -16, 2, -15, 7, -25, -13, 11, -6],\n [-25, -23, -8, 15, -12, 5, 1, -9, 20, 3, 10],\n [11, 0, -9, -4, -1, -24, -4, -21, -22, 10, -20],\n [-5, -13, 11, -1, 0, 13, -6, 7, -12, 10, -9],\n [-5, 20, -10, 20, -10, -6, 3, 2, -18, -2, -23],\n [-1, -7, 7, -24, -11, -4, -16, -8, -4, 20, 23],\n [1, -13, 7, -21, 0, -13, 1, -12, -2, -23, 21],\n [25, 23, 4, 9, 22, -12, -14, 2, 18, 3, 17]]\nB =\n[[-9, 14, 23, -5, -3, -6, -15, 8, -16, -16, 17],\n [-20, 10, -2, -14, 17, -3, 1, 19, 11, -20, -25],\n [-20, 24, -4, 15, -2, -1, -11, 0, -18, 25, -2],\n [22, 12, -20, 9, 16, -25, 20, 10, -14, 12, -15],\n [-14, 16, 24, 13, -19, -15, 10, 5, 7, -13, -8],\n [15, -2, -17, 5, 15, -16, -24, 12, -11, -23, 17],\n [5, -20, -23, -15, -11, 19, 2, -16, 12, 21, 24],\n [24, -19, -11, -8, -8, 15, -2, -24, 14, -6, 8],\n [17, 0, -19, 12, 4, 16, -21, -15, -25, 8, -25],\n [-7, -24, -5, -6, -3, -5, -2, -22, -14, -4, -6],\n [-8, -25, 4, 7, -2, -12, 10, -21, -15, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4216", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, -10, -2, -13, -2, 0, -24, -10, 12, 20],\n [-25, 23, -15, 25, 9, 17, 3, 11, -9, 13],\n [16, 2, 3, 17, -23, -16, 16, -12, -14, 21],\n [16, 4, 6, 6, 16, 6, 0, 25, -25, 16],\n [-24, -9, 4, 13, -19, 1, -17, -4, 8, 20],\n [23, -25, -17, -6, -7, 10, 14, 19, -22, -17],\n [15, -4, -8, -14, 16, 17, 13, -17, -20, -7],\n [22, 21, -19, -10, -21, -10, -25, 25, 11, 13],\n [-7, 11, -9, 0, -4, -18, 7, -24, 4, 21],\n [-6, -8, 17, -16, -2, -22, 11, -22, -13, -1],\n [-13, -8, -2, -24, 22, 7, -7, -17, 2, 9]]\nB =\n[[13, -16, -25, 16, -5, -17, 21, -11, 9, -21, 15],\n [-4, 15, -3, -19, -3, 18, -1, 1, 15, -20, 8],\n [-17, 23, 7, 25, -20, 11, 5, 8, 15, 3, -12],\n [10, 10, -11, -18, 0, 10, 22, -5, 2, -22, -10],\n [-4, -14, -10, 25, 14, 12, 16, 11, 3, -8, -16],\n [16, 13, -8, -25, 13, -5, -25, -11, -22, -6, -16],\n [-3, 15, 8, 20, 22, 7, 8, 13, -16, -6, -25],\n [-13, -25, -21, -10, -11, 23, 2, 5, -3, 22, 19],\n [17, -9, 23, 8, -13, -12, -15, 2, 16, 6, 9],\n [5, -9, 21, -17, -16, -18, -5, -13, 24, -21, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11323", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 5, -9, -15, -6, 22, -17, -24, 11, -25],\n [-22, 10, -1, -23, -17, -4, -3, -14, -16, 8],\n [17, -16, 4, -4, -20, 24, -24, 4, -24, 6],\n [16, -10, -14, -25, -18, 22, 24, -13, -11, 18],\n [-18, -16, 20, -21, 24, -7, 21, 12, -15, 17],\n [-6, -6, -5, -8, 24, -16, 8, 0, 4, -17],\n [20, 25, 5, 16, -22, -20, -12, -22, 0, 21],\n [22, 13, -9, -7, 25, 23, -20, 3, -15, -10],\n [4, -1, 14, -15, -19, 0, -4, -1, -7, 5],\n [0, 16, 15, 10, -3, 21, -13, -1, -24, -24],\n [-10, -17, 2, -13, 9, 15, -13, 5, -5, 6]]\nB =\n[[8, -18, 15, 22, -24, 12, 6, 14, 2, 11],\n [15, -25, 15, -16, -22, 9, -16, 21, -15, -12],\n [12, -14, 19, -9, -10, 9, -24, -15, 15, -23],\n [3, -8, -6, 21, -12, 8, 23, 5, 14, 16],\n [-8, 4, -1, -7, -18, 2, -18, 5, -23, -23],\n [18, -4, -9, 10, -9, -12, 25, -17, 4, -5],\n [-14, 11, 6, -15, -6, 9, 21, 20, -15, -18],\n [-22, 1, 18, 14, 12, 21, 4, 18, 22, 22],\n [1, -5, -6, -22, -15, -13, -17, -22, -14, -17],\n [-13, 22, 0, 12, 16, -13, 13, 2, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3492", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, 23, -13, -13, 2, -24, -16, -4, -13, -17],\n [7, -12, 22, -6, -11, 6, 7, -9, -2, 4],\n [-13, 21, 22, -10, -24, -9, 6, 17, -18, -23],\n [-14, -6, -10, -12, -10, 23, 17, 23, 25, 7],\n [4, -14, -11, -8, 2, -3, -12, 4, 7, 19],\n [-11, -19, -11, 16, 20, 12, 20, 18, -15, 3],\n [5, -1, -2, -7, -24, -4, -6, 7, -18, -1],\n [20, -17, 8, -3, -21, -1, -18, -10, 22, 19],\n [-11, -25, -4, -23, 12, -12, 10, -8, 21, 15],\n [-8, -23, -16, 23, 13, 21, -25, 1, 1, -15],\n [23, -21, -19, -7, 3, -11, 9, 21, 11, -14]]\nB =\n[[4, -6, 11, -23, -17, 15, 13, 0, -24, -3, -3],\n [-5, -10, -17, -13, 2, 1, 25, -9, 12, 10, -25],\n [-8, 25, -17, -13, 14, 19, -11, 17, 18, 20, -22],\n [7, -2, 10, 25, 15, -16, 10, -6, 15, 19, 18],\n [-15, -14, -8, 4, 18, 22, 11, -6, -1, -14, -5],\n [-1, -15, -17, 24, -1, 9, 6, 23, -12, -25, -9],\n [-1, -18, -21, -21, 15, 9, -7, -3, -17, 4, 24],\n [-10, 7, -24, -12, 20, -25, 0, -1, -10, -11, 0],\n [21, 18, -10, -12, 3, -2, 21, -11, -7, -18, 8],\n [-24, 1, -16, 9, -3, 23, -18, 2, -3, -22, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1182", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[16, 3, -25, -22, 6, 7, 23, 0, -9, 13, -3],\n [6, -11, -13, -24, -7, -2, 19, -2, -15, -4, -11],\n [-16, 15, 1, -17, 2, -25, -9, 5, 18, -16, 11],\n [3, -8, 21, 12, 13, 23, -20, 14, -14, -12, 18],\n [-16, -6, -11, 5, -19, 15, -16, -16, 22, 13, 2],\n [4, 11, -23, 24, 17, -11, -5, 11, -14, -22, 21],\n [-17, 13, 16, 2, -3, 19, 14, 18, -4, -2, 25],\n [0, 4, 7, -10, -4, 23, 24, 17, -8, -19, 24],\n [0, -18, -20, 4, 13, -3, 6, -4, 16, 17, 19],\n [-17, 5, -19, -17, -13, -23, 9, 7, -5, 5, 8],\n [6, 9, -11, 6, -20, 19, -5, 7, 6, -7, 7]]\nB =\n[[2, 5, -5, 8, -11, -12, -7, 17, -11, -20],\n [-17, 11, -6, 8, 12, 0, -8, 2, 25, -17],\n [6, -20, -12, 2, -2, -13, 17, -14, 25, -7],\n [-5, 1, -7, -2, 0, 19, 2, 20, -8, 18],\n [10, 16, 3, -9, -22, 18, 19, 3, -22, -16],\n [-1, 5, -23, 21, -24, -1, 23, -20, 0, -18],\n [9, 1, -1, -8, -25, 22, 13, -23, -22, 15],\n [11, 25, -11, -18, 12, 24, -7, 21, 0, 13],\n [-16, 12, -12, 23, 15, -7, 4, -21, 5, -19],\n [-7, 5, 13, -2, 8, -3, 22, 19, 14, -20],\n [12, 15, 10, 1, -15, -21, -9, -19, 1, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-11, 20, -13, -15, 19, 0, -4, 2, -2, 3],\n [-17, 16, -22, 23, 20, -8, 17, -10, 7, 3],\n [13, -16, -17, 5, 2, -23, -12, -1, -11, -24],\n [-2, -12, 22, -19, 10, 24, -2, 1, 11, 12],\n [4, 1, 13, -11, 0, -25, -22, 3, -25, 17],\n [24, 20, -4, -15, -16, -9, 10, 21, 0, 22],\n [-5, -13, -17, -15, -15, -20, -25, -20, -13, -4],\n [5, -4, 11, 21, 1, 24, -12, 21, -21, 10],\n [6, 8, -19, 16, 22, -16, 24, -9, 4, -5],\n [-13, -25, -25, 21, 7, 12, -1, 0, -13, 2],\n [7, 11, 15, 4, 23, 22, -18, 23, 21, -25]]\nB =\n[[-14, -21, -2, -20, -1, -25, -1, -25, 6, 16],\n [16, -23, 23, -7, 17, 3, 24, -24, -17, -9],\n [20, 10, -9, 23, -14, -6, 24, -23, 17, 24],\n [-22, -9, 24, 11, 20, 16, -11, 7, -10, -15],\n [-6, 12, -2, -10, 4, 8, -25, -2, -2, -17],\n [-4, -14, -9, -1, 2, -11, 4, 25, 1, -4],\n [-16, 5, 1, -14, 20, 5, 6, 6, 15, 19],\n [9, 20, -5, -16, -10, -19, -22, 1, -1, 5],\n [-15, 22, -6, 10, -9, 19, -15, 4, 9, 15],\n [12, -4, 17, 22, 25, 1, 11, 20, 23, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-716", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-22, -10, -10, -5, 0, 10, -7, -9, 19, 0, -4],\n [2, -25, 18, 10, 17, 11, -24, -9, 14, 12, -5],\n [-17, -13, -15, -10, -10, -24, 16, 18, -18, 17, 16],\n [-13, -9, 13, -2, -23, 4, -13, -7, -19, -17, -7],\n [19, 14, -4, -8, -3, -24, 24, 24, -15, 5, 7],\n [-12, -10, -15, 7, -19, 5, 22, 20, 21, -12, 2],\n [17, -10, -7, -9, 0, -20, 17, 23, -17, 24, -9],\n [5, -14, -3, -21, 17, 10, 10, -23, -2, -9, 13],\n [0, -22, 19, -14, -25, -5, -7, -5, -8, 17, -23],\n [23, 18, 6, -16, 14, -11, -21, -22, 2, 25, -22],\n [-11, -9, 18, -23, -16, 21, 16, -3, -8, -25, 9]]\nB =\n[[5, 18, -25, -23, -23, 11, -7, 3, -1, 7],\n [10, 3, 0, -22, 23, -12, 24, 1, 7, -4],\n [22, -23, -3, -5, 15, -3, -22, -5, 11, 17],\n [5, -5, 0, 15, 9, 12, -2, -15, 15, 3],\n [21, -23, -25, -7, 20, 23, -4, -12, 23, -12],\n [18, -10, 7, -13, 12, 23, -14, 25, 12, 13],\n [7, 7, 3, -21, -20, 5, -10, 5, -1, 22],\n [20, 7, -13, -16, -2, -16, 15, 5, -13, -23],\n [24, 8, 23, 2, -7, -3, 19, 6, -13, 7],\n [8, 7, -21, -23, -19, -2, -4, 19, -3, 4],\n [-8, 6, -19, 7, -21, 23, 2, -18, -11, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9795", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -21, 7, -21, 12, 8, 0, -25, -22, 13],\n [0, 7, 7, -18, -6, -10, -5, 19, 0, -3],\n [-8, 5, 16, -14, -25, 16, -17, -23, 25, 0],\n [-17, 16, 25, -10, -2, 24, -12, -23, 8, 7],\n [24, -2, -17, -13, -24, -19, 22, -5, -7, -1],\n [21, -4, -15, 7, 6, -5, 13, -6, -18, 16],\n [11, -17, -1, -1, 7, -24, -7, 20, -6, 16],\n [15, 16, 3, -20, -9, -1, 12, -22, 4, -6],\n [-23, -3, 25, -8, 0, 10, -18, -9, 5, 11],\n [19, 7, 1, 19, -22, -4, 0, 6, -2, 20]]\nB =\n[[9, 11, 6, -19, 7, 5, -14, -15, -2, -18, 6],\n [12, -4, 8, -7, -6, -12, 7, -16, -10, -22, 1],\n [2, 17, -10, 7, 22, -7, -5, -4, -17, -17, -17],\n [1, -9, 18, 19, -18, -10, -8, 7, -25, -14, -20],\n [15, -21, -10, -8, 23, -8, -25, -7, -18, -23, -1],\n [-21, 14, -7, -8, 24, 5, 7, 21, -8, 13, -10],\n [-10, 21, 12, 15, -19, -12, 17, 22, -1, 6, 12],\n [-4, -10, 3, -10, -14, -9, 11, 1, -1, -13, -18],\n [-21, -14, 15, -23, 9, 7, -4, 24, 18, -17, 15],\n [-8, 24, 3, 13, 1, 10, 19, -9, 8, 20, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14578", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[-21, -12, -23, -3, 13, 4, 24, 19, -3, 1],\n [-16, -1, -13, -10, 15, 8, 11, -4, -9, -3],\n [10, 23, -17, -24, 6, 24, -4, 17, -13, -18],\n [-25, -9, -14, -22, -13, 5, 15, -19, -3, -2],\n [-21, -21, -9, 4, -17, -20, -1, -7, -10, -5],\n [-24, -16, -10, 11, -11, -13, -13, 6, 19, 21],\n [20, -18, 17, -8, 10, 0, -16, 5, 7, 3],\n [-21, -13, -25, -3, 14, -23, -23, -19, 10, 9],\n [-11, 14, -23, 3, 4, 13, -8, -15, 17, 23],\n [12, 14, -25, 3, -16, 2, 5, -7, -23, 10]]\nB =\n[[17, -11, 7, 15, 17, 25, 19, 0, -10, 10, 7],\n [-6, -13, 7, -21, 11, -12, 1, -3, -12, 14, -22],\n [13, -7, 21, -22, 4, -7, 5, 5, -17, -13, -12],\n [20, -16, 22, 5, 11, -3, 1, -20, 0, -24, 19],\n [-13, 25, 24, -7, -25, 14, 6, -4, 22, 3, -24],\n [14, 12, 22, -15, -9, 25, 17, -18, -4, -22, -15],\n [-18, -17, 0, -24, -10, 5, -20, -5, 0, -7, 2],\n [-18, -12, -2, 22, 18, 11, 0, 5, 25, 6, 24],\n [15, -24, -1, 18, -24, 16, -25, 10, -14, -17, 10],\n [15, 2, 12, 7, 16, 20, -4, -1, -8, -20, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "372", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -11, 22, -18, -13, 17, -19, -9, 24, 6],\n [-4, 25, -13, 21, -3, 3, -4, -25, 3, 22],\n [-21, 9, -16, -7, 11, -19, 20, 9, 19, -13],\n [-16, -24, -20, -18, 10, -1, 18, 21, 14, -19],\n [20, -3, -7, 20, -4, -13, -5, -25, -7, 7],\n [-22, 16, -23, 1, 15, 9, 2, -20, -20, 18],\n [-3, 7, -10, -2, -21, 15, 16, -13, 21, -14],\n [-21, 11, 5, 2, 2, 4, -8, 18, 1, 9],\n [0, 13, 23, 25, -8, 7, -1, 5, 11, -24],\n [7, 13, 17, 17, 6, -8, -9, 8, 13, -19]]\nB =\n[[16, 9, 4, -14, 9, -15, 18, -22, -1, 22, 6],\n [-6, 24, 5, -22, 12, 21, -25, -23, 11, -4, -9],\n [-12, 15, 9, -13, 9, 17, -24, 21, -13, 25, -10],\n [-8, -19, 19, 10, 15, 4, 16, 15, -19, -11, 14],\n [-7, 17, 11, -24, 16, 22, -13, 14, 15, 17, 17],\n [5, -10, 16, 18, -20, 2, 6, 18, -16, 24, -8],\n [-22, -17, -19, 24, -18, 17, -19, 15, 14, -23, -9],\n [-24, -11, 20, 3, 24, 22, -4, -22, -20, 12, 0],\n [-15, 0, -9, -2, 2, 9, 5, -13, 9, -10, -11],\n [17, -8, 21, 11, 22, 22, 23, 15, 1, 9, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60032", "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, 2, 13, 12, -17, -14, -11, -5, 9, 16],\n [7, 25, -7, -3, -13, 18, -25, 25, 3, -2],\n [-10, -1, -3, 2, 21, -10, 17, 12, -15, -23],\n [-11, -25, -19, -25, 23, 6, -17, 3, 0, -3],\n [19, 17, 3, 12, 7, -19, -14, 5, 6, -6],\n [25, -9, 10, -23, -25, 24, 1, 21, 14, 7],\n [-6, -12, 10, -21, -3, 19, -11, -20, 7, -7],\n [-13, 3, -20, -11, -10, -2, -3, 22, -16, 15],\n [15, 23, -9, 23, 18, 19, 4, 18, 20, -16],\n [-7, 3, -24, 10, -7, -19, 0, -11, 21, 12]]\nB =\n[[-23, 12, -10, -24, 5, 2, -19, 4, 17, -19],\n [10, 3, -2, 13, -22, 3, 18, -21, 3, 4],\n [3, 0, -7, 0, 11, 1, 4, 25, 4, -23],\n [17, -19, 23, -17, 15, 16, -13, -11, -21, 3],\n [9, 1, 1, -18, 6, -6, -16, -13, 3, 9],\n [-18, 3, 5, 15, 4, -4, -5, -14, -15, -24],\n [24, 15, -24, 8, -23, -10, 25, -22, -3, 24],\n [-6, -1, 4, -8, 16, -15, 3, -9, 0, -3],\n [22, -6, 19, -24, -2, 5, 1, -24, -12, -22],\n [23, -13, 10, 9, 18, -18, -24, -20, 5, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45985", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[18, -5, 16, -16, -3, -23, 6, -6, -16, 3, 15],\n [25, 20, 8, 11, -6, -18, -19, -20, -15, 18, -8],\n [25, 16, 3, -1, -5, 20, -23, -8, -2, 21, 12],\n [-16, 1, -14, -19, -9, -25, 24, 0, -11, 25, 7],\n [11, 21, 5, 9, -25, -18, -14, -7, -1, 6, -14],\n [-13, 2, -25, 25, -20, -18, -22, -21, -1, -4, 2],\n [13, -3, -22, -22, 21, -5, 11, 15, -24, -19, 23],\n [-10, -9, -6, -3, 8, -15, 8, 7, 0, -24, -3],\n [15, -4, 8, -11, -16, -11, 16, 3, -3, -9, -17],\n [24, 10, -17, -10, 10, 22, 25, 7, 5, -20, -16]]\nB =\n[[-10, -22, -4, -13, -10, 3, -20, 0, -15, -2, 3],\n [-23, -16, -25, 17, 0, -14, -12, -1, -18, 17, -22],\n [2, -19, -16, 25, 10, -24, 0, 24, -12, -10, 17],\n [16, -9, 20, -4, -22, -7, -24, 13, -17, -7, -10],\n [-1, 22, -8, -3, -5, -15, 13, 15, -22, -1, 6],\n [4, 19, 0, 10, 25, 8, -17, -14, -24, 12, -21],\n [-21, -4, -21, -22, -17, 3, -4, 1, -16, -10, 16],\n [16, 25, -16, -20, 23, -21, -20, 21, -1, 25, 24],\n [-22, 14, 22, 6, 25, 9, -16, 8, 10, -20, 17],\n [20, -10, -7, 8, -1, 5, 23, 15, -9, 21, 4],\n [13, 5, -7, 9, 3, -25, -22, 2, -8, 0, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17888", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -20, -25, -18, 7, 25, 17, -5, -2, -1],\n [21, 17, -7, 3, -16, -14, 7, -19, -9, -16],\n [5, -20, -9, 24, 11, -8, 0, 23, -10, -18],\n [-2, -13, 3, 6, -2, -10, -15, 6, -20, 9],\n [7, -8, 11, -13, -16, 11, 0, 20, -9, -25],\n [-1, 8, 13, -16, -6, -19, -10, 11, 3, -14],\n [-9, 22, -6, 0, 22, -7, 21, -14, -5, 16],\n [8, -19, 19, 9, -11, -25, 0, 9, -1, 16],\n [-11, -4, -20, -11, -2, -5, -19, 3, 6, 6],\n [-21, -22, -4, -8, 9, -9, 24, 24, -2, -24]]\nB =\n[[-13, -11, -21, -23, 11, 11, 11, -23, 9, -3, 2],\n [4, -8, 10, 7, 0, 22, 14, -9, 14, -19, -18],\n [5, -14, 22, 5, 18, -7, -16, 13, -14, -6, 11],\n [22, 15, -19, -12, -15, -19, 3, -16, 3, -17, 10],\n [22, -16, -7, 5, -9, -17, 19, 7, 8, 19, -2],\n [-17, -19, -10, -7, 13, -20, 24, 25, -15, -14, 16],\n [-13, -14, -5, -16, -6, 24, 10, 2, -2, -21, 11],\n [-14, 9, 14, -24, 24, 15, 19, 13, 16, -17, -4],\n [21, -21, -14, -25, 18, -4, 12, 25, -7, -10, 5],\n [25, -23, -3, 16, -8, 0, -13, -8, -23, -3, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6921", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-1, 1, 18, 1, 13, -1, -2, -18, -17, 20],\n [11, 4, -7, -10, -2, 18, -5, 10, 14, 13],\n [21, -20, -21, -12, 19, 16, 24, -22, -18, -2],\n [-15, -9, 24, -5, 0, 17, 22, 18, 19, 1],\n [-10, 0, 7, 5, 22, 21, -20, 18, -18, -19],\n [8, 18, -12, -10, 17, -17, -16, -9, -14, -20],\n [-7, 17, 15, 3, -20, -1, -2, -1, -10, -10],\n [-20, 11, -5, -22, 8, 2, 12, 15, 2, -9],\n [-12, -19, -4, 25, -25, 3, 5, 4, -11, -8],\n [9, 24, 4, 8, 16, -15, 1, -2, 9, 13]]\nB =\n[[-18, 25, -8, -13, 19, -2, 25, -3, -14, 23, 4],\n [5, 2, -4, 18, 2, -13, -1, 18, 25, 20, -19],\n [19, -20, -2, -7, -7, 10, 25, -17, 22, 10, 12],\n [14, 3, -2, 22, -21, 16, 19, 0, -12, 13, 3],\n [-20, -19, 11, -8, -3, 18, 12, -25, -22, 25, 18],\n [21, 9, -3, 1, 0, -18, 17, -10, 15, -23, 6],\n [-21, -6, -12, 6, 0, 21, -20, 10, 14, 25, -21],\n [-13, 6, -10, -25, -13, -15, -18, -1, 14, 6, -2],\n [2, -12, 19, -23, 10, 1, -6, 21, -11, 1, 19],\n [15, 2, -1, 16, 18, 20, 7, 20, -12, -18, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-424", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-12, -25, -10, -8, -19, -11, -2, 23, 25, -13],\n [-17, -11, 9, -2, 7, -10, -18, 3, -3, 19],\n [5, 14, 23, -12, 4, 13, 1, 21, -10, 25],\n [-20, 7, 18, -8, -10, -14, -6, 19, 14, 3],\n [4, 0, -4, 7, 13, 21, 3, -4, 19, -13],\n [-17, -2, -11, 10, -13, 1, 18, 11, -19, -18],\n [11, 15, -12, -14, 10, 14, -9, 14, 3, 1],\n [-25, 8, -22, -2, -5, 7, -19, -25, 15, -23],\n [18, 25, -11, 5, -10, -16, 3, -20, 3, -9],\n [-4, -2, -9, -5, 25, 24, -15, -19, 16, 13]]\nB =\n[[-21, 18, 22, -5, -8, 9, -6, -11, -21, -13, 25],\n [-14, -5, 11, -20, -19, 0, 16, 22, -18, -17, 1],\n [-22, -5, 5, -5, 14, -1, 13, -11, 9, 23, 17],\n [15, 11, 16, 21, 2, -12, -22, -6, 8, -14, 7],\n [-2, -6, -21, 12, 4, -2, 17, 14, -19, 10, 12],\n [-10, -11, 20, -3, -14, 3, 18, 22, -11, 3, 19],\n [17, 23, -5, -11, -12, 16, 18, -10, -11, 16, -22],\n [1, -3, 3, 15, -17, 17, 17, -19, 16, -22, -21],\n [-21, -15, 15, 2, -10, 15, 4, -22, -24, 20, -23],\n [24, -5, -20, 17, -8, 18, -21, -17, -6, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -7, -23, -17, 10, 5, 23, -9, -3, 8, 15],\n [15, -21, -11, 21, -23, -7, 2, -23, 12, -22, -2],\n [5, 19, 19, -15, 11, -25, -17, -9, -25, -23, 21],\n [0, 5, 0, -3, 4, -16, -18, 18, -1, -4, -11],\n [15, -16, -6, 15, 21, -3, -25, -24, -7, -12, -18],\n [12, -14, 0, 1, 3, -11, 20, -25, 17, 2, -23],\n [25, -8, 8, 6, 3, -1, 0, 13, -18, -7, 21],\n [16, -4, 3, 7, 12, 19, 20, 9, 17, -23, -7],\n [-16, 1, -11, -15, 21, 0, -2, -13, 6, 11, -22],\n [-13, -17, 23, 8, 11, 22, -19, -25, -14, -5, -15],\n [18, 25, 18, 18, -12, 8, 8, -1, -22, 0, -10]]\nB =\n[[-16, 19, -24, 9, -7, -20, -7, 25, -18, -12, -16],\n [-23, 12, 3, -11, -3, -3, -8, 20, -7, 2, 0],\n [-16, 21, -22, -24, -23, -19, -10, 5, -16, -7, 2],\n [-9, 2, -7, 11, -3, -6, -13, -13, 17, -15, 22],\n [-11, -9, 24, 2, -7, -22, -4, -4, 11, 13, 8],\n [7, 18, 16, 14, 7, -14, -24, 2, -16, -4, -9],\n [0, -23, -19, 18, -18, -6, -14, 9, -9, 2, 15],\n [-16, -4, 12, 7, -4, 18, 11, -13, 1, -11, -4],\n [4, 17, 14, 11, 8, 18, 8, 22, 9, 16, -7],\n [-18, 13, 7, 18, 2, 11, 22, -1, 10, -9, -2],\n [-5, -24, 5, 18, 7, 4, -14, 18, -14, 25, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -2, -15, -13, 1, -18, -16, -18, -6, -18],\n [-17, -19, -12, 2, -24, 17, -18, -13, -5, 21],\n [2, 9, -3, 20, -11, -24, 25, -14, 10, -23],\n [-21, -23, 21, -7, -24, 18, 11, -9, -12, 2],\n [1, -16, -23, 10, 12, -1, -4, 22, 13, 21],\n [4, -5, 4, 2, 5, 0, 17, -4, -5, -25],\n [11, -13, -5, 20, -17, -9, 21, -5, 5, 13],\n [-4, -14, -20, -10, 0, -21, -17, 20, 14, -12],\n [18, 16, 4, 0, 19, 3, -7, 21, -18, -3],\n [16, 9, 5, 9, 6, -21, -10, -9, 6, 12],\n [6, -6, 22, -24, -6, 21, -8, -25, 3, 3]]\nB =\n[[-7, 18, 14, -20, 18, 13, 24, 20, -18, -2, -6],\n [-12, -21, 15, 14, 8, -10, 19, -19, -10, -19, 1],\n [-12, -12, 18, 7, 7, 18, -6, 21, 10, -19, 6],\n [22, -23, 13, 3, -2, -4, -20, 22, -2, 14, -3],\n [12, -16, -10, -15, 6, 19, -20, -2, 7, 25, -14],\n [1, 12, -8, 19, 13, -13, 14, 4, 23, 15, -13],\n [8, 10, 4, -1, -24, 10, -8, -21, -7, 16, -8],\n [6, -5, -16, 11, 23, -4, -13, -9, -17, -2, 18],\n [-12, 20, -18, 11, -7, 2, 20, 15, 4, -19, 0],\n [14, 20, 20, -15, -12, -5, -18, -23, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "874", "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, -13, -14, 21, 24, -21, 13, -15, -15, 21],\n [16, 21, 5, 5, -13, -12, 23, 19, 16, -1, 7],\n [7, -11, -10, 18, 12, -20, 18, -1, -11, -22, -22],\n [4, 8, 1, 5, 6, 18, 13, -17, 15, -18, -12],\n [7, -3, -5, -14, -24, -13, -22, -6, 24, 25, 22],\n [-12, 4, 3, -18, -14, 15, 12, 0, 24, -24, 14],\n [-12, -20, 16, 14, 5, -9, -1, 6, -14, 23, -13],\n [-7, 18, 22, -1, 5, 11, -1, -10, 12, 17, 23],\n [-3, -12, -20, -1, -3, 17, -14, -13, 10, 13, 8],\n [-20, 12, 24, 14, -18, -18, 14, 7, 8, 18, -11],\n [10, 9, 20, -4, -3, 14, 19, 25, -4, -21, 5]]\nB =\n[[-13, 2, -6, 7, -10, 3, -3, -2, 8, -19, 12],\n [11, -22, 8, 16, -4, -21, 24, 16, -3, -11, 5],\n [-17, 17, -1, -1, 23, -5, -17, 22, 12, -4, 17],\n [-3, 23, -22, 3, -11, -25, 4, 3, -6, 7, 15],\n [18, 10, -4, -13, -19, -18, 2, 19, 17, -17, -1],\n [-10, -16, -15, 5, -14, 5, -12, 25, 18, 6, 24],\n [-9, 9, -25, 3, 25, -22, -3, 2, -10, -14, -5],\n [19, -9, 14, -13, 6, 11, 24, -11, -14, 23, -11],\n [8, -20, -9, 22, 23, -6, -17, -21, -3, 7, 12],\n [-12, -9, -7, 7, -25, -13, 20, 1, -20, -20, 7],\n [4, 20, 9, -3, -16, 25, -7, 25, 2, -3, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66637", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -7, 16, 1, 8, -22, 12, -19, 22, -19],\n [24, 0, 0, -7, -17, -6, 16, 19, 24, -10],\n [-9, -4, -13, -14, -16, -25, 6, 4, -18, -5],\n [-4, -8, -24, 22, 18, -17, -23, 0, -5, 4],\n [2, 10, 0, 8, -18, -16, 22, 17, 24, -12],\n [14, -11, -9, -8, 6, 12, -3, 20, -3, 9],\n [13, -11, -2, 2, -10, -10, 14, 13, -20, -24],\n [-13, 18, 21, -17, 8, -9, 1, 3, 11, 17],\n [-4, 25, -2, -19, 8, 22, -14, -3, -11, 7],\n [-13, -3, 12, 6, 19, 24, 9, -25, 21, 19],\n [-21, -13, -21, 6, 25, -5, -2, -8, -5, -16]]\nB =\n[[-2, 14, 21, -5, -1, -3, -4, -22, 8, -20, 2],\n [5, 9, 13, 16, -3, -20, -10, -24, -2, -9, 19],\n [-25, -20, -21, 19, 24, 3, -14, 13, 21, -23, 22],\n [-25, 1, 22, -2, 18, -7, -18, 18, 21, -24, 4],\n [4, 23, 13, 19, 6, -25, 12, -13, -15, -16, 22],\n [0, -6, -9, -9, -22, -21, -3, 20, -16, 20, 2],\n [7, 17, 0, 24, 22, 3, 1, -8, 14, -16, 16],\n [-21, -16, 24, -5, -2, 12, -23, 14, 5, 15, 11],\n [-24, -24, 13, 23, 16, 18, 8, 16, -6, 7, -22],\n [19, 18, -15, 16, 21, -21, -1, 23, 11, 8, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5782", "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, -8, -12, -7, -12, 14, -9, 9, 3, 16],\n [-9, 17, -18, -25, 19, 10, -19, 20, -21, -2],\n [2, 17, -9, 11, -6, -23, 11, 0, -11, 25],\n [22, -18, -13, 22, -23, -25, -17, 5, 15, 0],\n [-9, 8, -17, 25, -13, -21, 15, -13, -25, -1],\n [21, -22, 10, -16, 2, -20, 1, -14, 22, -23],\n [20, 7, -16, 5, -11, -19, 10, -12, 22, -12],\n [-23, 23, 20, 24, -23, -4, -7, 9, -14, -21],\n [-16, 15, 7, -13, 9, 25, 6, -15, 22, 12],\n [-2, 9, -7, -20, 14, 19, 18, 16, 9, -22]]\nB =\n[[7, -13, 10, 17, -7, 17, -14, -15, -20, -14, 1],\n [15, -1, 16, -23, -23, -6, 2, -3, 22, -23, 16],\n [-2, 17, 14, -20, -6, -15, 6, 1, -5, 18, 22],\n [24, -13, -4, 9, 21, -4, 2, -5, 20, -8, 5],\n [20, 11, -5, -12, -1, 1, 14, -3, 5, 21, 3],\n [21, 4, 25, 0, -6, 12, -7, 1, -1, 14, 12],\n [-3, 3, -11, -23, -16, -11, -10, -9, -7, -15, 22],\n [-21, -21, -12, 24, 0, -18, -21, -19, -10, -12, 11],\n [15, -22, 10, 22, -9, 21, 10, -20, -10, 3, 10],\n [12, 11, 22, 22, -16, 15, 10, 3, -12, -22, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58405", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 5) of the product matrix AB given:\nA =\n[[16, 10, 24, 19, -13, 20, -8, 7, -5, -10, -11],\n [-21, -20, 12, -23, 22, -14, 10, 7, 10, 7, 5],\n [-5, 1, 1, -18, 11, 6, 0, -24, -14, -4, -9],\n [-19, 17, -22, 11, 12, 6, -15, -25, -1, 16, -2],\n [17, -9, -18, 19, 1, -8, 1, -4, -10, -24, -21],\n [-8, -23, 1, -9, -10, -20, 25, -19, 24, -12, 12],\n [14, -11, 21, 21, 22, 7, 17, 1, 3, 11, -21],\n [3, 6, -20, -24, -20, 20, 17, -22, 3, -1, -17],\n [-23, 0, 22, 17, 1, 10, 6, -25, -10, 25, 22],\n [-15, 0, 14, -25, 0, 2, -17, 18, -4, -18, 23],\n [16, 1, 13, -7, -1, 12, -5, -2, -2, -7, 24]]\nB =\n[[21, -24, -12, 6, 16, 6, 2, 22, 13, 14],\n [16, 21, 14, -13, -14, -18, -11, 0, -14, 17],\n [25, 20, 1, -8, 19, 10, 23, 25, 1, -17],\n [13, -25, -19, 0, -19, -19, -18, -10, -23, 19],\n [-16, 24, -19, -5, 11, 5, -3, 1, -4, 13],\n [1, 23, -22, -2, -3, 22, -7, 16, -23, 1],\n [-23, 2, -9, 5, -16, 23, -4, 4, 23, -5],\n [10, -3, 12, -14, -1, -6, 23, 23, 16, -19],\n [3, 22, 3, -13, -23, -24, -10, 4, 12, -20],\n [19, -19, -21, -19, 8, 6, 23, -13, 4, -1],\n [-5, -5, 2, 22, -6, 8, -21, -8, 13, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-15, -9, 22, 19, -4, 11, -6, 22, 22, 22, 20],\n [-20, 8, -12, 22, -3, -6, -13, 21, 18, 15, 6],\n [0, 24, -12, 10, -18, 14, -4, -4, -10, 1, -16],\n [-1, 5, -5, 1, -9, 7, 5, 24, 16, 0, -5],\n [10, -25, -22, -22, 0, -22, 23, -17, 4, 25, 19],\n [-22, -21, 19, -3, -10, -4, 11, -18, 22, 7, 12],\n [17, -10, -21, -10, -19, 25, -25, -17, -8, 19, 21],\n [-23, -2, 2, -16, -17, -13, 22, 9, -3, 21, -9],\n [20, -19, -10, 14, 10, -6, -2, 21, -21, 19, -20],\n [2, -21, 23, 13, 12, -24, 17, 13, -5, 14, 11],\n [-8, 22, 20, -14, -9, 11, 20, 12, -11, -19, -12]]\nB =\n[[24, -25, 12, -23, 11, 18, 5, 17, -13, 22, -8],\n [-9, -9, -15, -6, -16, 3, 22, 8, -9, 16, -13],\n [18, 21, 13, 1, 0, 2, -13, -14, 18, 2, -24],\n [11, 8, -3, 19, 3, 9, -15, 22, 7, 25, -15],\n [-17, -12, -17, 13, 22, -23, 3, -7, 10, 6, -19],\n [2, 18, -8, -21, -3, -4, 0, 16, -14, 14, -7],\n [21, -25, -23, 1, -8, 24, 4, -24, -21, 3, 7],\n [16, -6, 4, 16, -21, 24, -5, -11, -6, -18, 23],\n [5, -14, -5, 4, 1, 18, 0, 7, 0, 0, 10],\n [14, -25, -11, 24, -25, -15, -24, -25, 5, 18, -10],\n [-4, 16, -8, 21, -9, 4, -16, 9, -5, -10, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1700", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 9) of the result:\nA =\n[[-23, 15, 17, -5, -13, -8, -2, 1, -22, -4, -2],\n [14, 19, -16, -24, 14, -20, 22, -8, -9, 12, 19],\n [-3, 20, 4, -5, -16, 17, -13, -14, -17, -22, 13],\n [-2, 8, 13, 15, -21, -11, 24, -22, 25, 13, -18],\n [23, 19, -2, 2, 17, 1, -25, 8, -9, 11, 12],\n [0, -2, 13, -5, 4, 21, 25, 22, -13, 11, -23],\n [6, 9, -7, -12, 22, -4, -9, -22, 19, 14, -7],\n [11, -24, -11, -24, -15, 19, -3, -16, -23, -21, -23],\n [12, -13, 16, -7, 14, 24, 9, -2, -2, -9, 14],\n [-16, -24, 18, -3, -20, -24, -5, 9, 23, 3, -19],\n [3, 11, -3, 7, -18, -14, 20, 22, -16, -11, -2]]\nB =\n[[0, 21, 16, 13, -23, -24, -20, -5, -17, -16],\n [10, -23, 15, -2, -4, 23, -12, 16, 19, 18],\n [1, 7, -4, 3, -7, -7, -20, 19, -7, -13],\n [0, -4, -5, 10, -24, 21, 18, 4, 1, -19],\n [-6, 24, 5, -3, -13, -9, -22, -12, -6, -13],\n [-23, 0, 0, -8, 6, -12, 21, -23, -25, 0],\n [-2, 23, 9, -12, -23, -13, 21, 24, -12, -5],\n [0, -23, 25, 14, -22, 10, 25, 17, -25, 14],\n [21, 7, -19, -15, 1, -12, -4, -10, 20, -14],\n [23, 20, -16, -2, 20, -8, -4, -17, -9, 12],\n [14, -13, 24, 11, -20, -5, 25, 10, -19, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1119", "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, -15, 18, -12, 19, 3, -16, 24, 22, -21, -18],\n [20, -21, -2, 14, 0, -20, -10, 10, -14, -15, -23],\n [18, 11, -20, -7, -8, -10, -3, 17, 11, -17, -23],\n [-18, 12, -22, -14, 18, 5, -1, -10, 16, -12, -13],\n [15, -19, -14, 11, 24, -22, -24, 9, 18, -23, -22],\n [12, -14, -7, -16, -25, -9, -10, -17, -17, -17, -14],\n [15, -11, -24, -15, -15, -18, 6, -20, -6, 13, 9],\n [-18, 24, 23, 17, 8, -7, -19, 5, -8, 14, -12],\n [13, 10, -9, 11, 18, -17, -6, 19, 2, 24, -6],\n [15, 10, 1, -18, 6, -25, -9, -17, -6, 19, 6],\n [-24, 6, 19, -17, 4, -6, 12, -25, -21, 9, 10]]\nB =\n[[-25, -12, -17, 4, -2, -22, 24, -12, -1, -22],\n [-1, -16, 9, -19, 16, -13, -22, 24, 17, 10],\n [-12, -8, -18, 6, 1, 16, 11, -3, -19, -14],\n [-1, -23, 0, -22, 16, 10, -11, 6, 3, -16],\n [-5, -10, 21, -7, 3, 25, -8, 18, -10, -25],\n [22, -24, -11, 13, 2, -25, -21, 16, -4, 10],\n [20, -13, -25, -10, 15, -4, 6, -10, 25, -11],\n [20, 16, -14, -25, -9, 15, 25, 24, 2, -19],\n [-17, -4, 0, -14, -19, 20, 21, -11, 12, -5],\n [-12, -24, -18, 19, -20, 11, 11, 7, 15, -20],\n [0, 13, 15, 11, -12, 11, -18, 13, -13, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69596", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[14, 17, 2, -8, -7, 12, 6, -4, -24, -13, -3],\n [-1, 2, -15, 7, -2, -24, 4, -9, 14, 8, 12],\n [-4, -21, 22, 14, 25, -10, -13, 0, 5, 13, 22],\n [-3, 22, -14, -12, -8, 1, 2, -8, -10, -10, -13],\n [3, -17, 0, 2, 15, -13, 10, -17, 21, -12, 25],\n [-14, 6, 12, -23, -10, -6, 6, -3, -9, -10, 12],\n [-18, -7, 4, 8, -12, -4, 18, -9, -11, 24, 22],\n [6, -13, -5, 23, 14, 7, 1, 9, -10, 2, 8],\n [21, -25, 15, 22, 5, 10, 18, 7, 7, 13, -8],\n [-3, -3, -11, 0, 4, -1, 19, -10, 13, 22, 19],\n [-12, -9, -14, 3, 6, -2, -13, -6, -11, -22, 8]]\nB =\n[[2, 24, -24, 21, 4, 0, 25, 21, 0, -6, 16],\n [2, -6, -15, -16, -3, 11, 15, -7, 19, -8, 23],\n [1, -20, -16, -24, -2, 12, 2, 2, 19, 24, 13],\n [-24, 20, -21, 24, -15, -16, 17, -24, -11, 13, 15],\n [11, -19, -6, 8, 9, 8, -4, 5, -3, -7, -22],\n [-2, -6, 13, 2, 13, -9, -7, 22, 9, 6, 21],\n [20, 21, 20, 13, 9, 4, -9, 16, 21, 3, -20],\n [-9, -9, -12, -2, 24, 11, 14, 13, 6, 10, 24],\n [11, 22, -12, 1, -7, 5, 20, -17, 12, -9, -7],\n [18, -22, 22, -15, -4, -22, -9, -18, 20, 8, -15],\n [5, -15, 12, -5, 20, 4, -16, 0, 1, -18, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-649", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-18, -18, 8, -10, 15, -13, -3, -14, 1, -4],\n [6, 23, 1, -24, 19, 7, 0, 2, -7, 17],\n [-21, 7, -6, 4, 19, -18, 12, -9, 18, -25],\n [-23, 20, 0, 5, -18, 17, 20, -18, 9, 13],\n [2, 25, -22, -10, -13, -6, 25, -21, 11, -6],\n [-2, 10, 8, 19, 22, 8, -7, -9, -21, -1],\n [-8, 24, -18, 1, -11, 19, -13, -10, -4, -6],\n [-13, -6, -24, 9, 21, -7, 19, 11, -20, -12],\n [-22, -4, 25, 13, 10, 8, 1, -19, -23, 21],\n [7, -24, 16, -10, -1, -11, -2, -11, 5, -12]]\nB =\n[[-12, -20, -12, -9, -8, -6, 25, -9, -10, 14, 13],\n [6, 18, -17, 1, 20, 7, -16, -9, 23, 23, 10],\n [-9, -8, -3, 8, -18, -13, -3, -6, -4, 21, -3],\n [15, 9, -23, 8, 7, 20, -9, 19, -7, 4, -3],\n [-11, -12, -24, 13, 23, -8, -20, 6, -5, 14, 2],\n [1, -24, 7, -10, 13, -4, 17, 21, -13, -24, -12],\n [12, 15, 2, -19, -8, 15, 10, 15, 10, 18, -22],\n [4, -2, -6, 20, 5, -2, -19, 0, -13, -18, -21],\n [18, -13, 3, -6, -12, 6, 24, 1, -1, -22, -5],\n [-8, 13, -11, 12, 22, -2, -18, 2, -5, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -9, -17, 9, 3, 13, -8, -14, -7, 22],\n [-4, 23, -11, -25, -24, -18, -4, -1, -24, 25],\n [-17, -17, -13, -20, 4, -11, 25, -11, 24, -19],\n [-15, 14, 12, 14, -24, 25, 22, 13, -16, 18],\n [-9, -19, 14, 13, -22, 9, 25, 21, 10, 5],\n [-1, 15, -13, -8, -5, 22, -25, 10, 24, -18],\n [22, -5, 17, -5, 1, -7, -3, 25, 24, 25],\n [17, 9, 14, 25, 16, 22, -21, 15, -18, -15],\n [-10, 13, 21, -2, -5, -3, 23, 12, 21, -18],\n [-19, -24, 4, -13, -3, 3, 12, 11, -6, 7]]\nB =\n[[3, 24, -11, -3, 16, -23, 11, 3, 19, -18],\n [-4, 3, -24, 15, 23, 24, 19, -25, 18, -6],\n [-5, 11, -18, 1, 21, 9, -20, 19, 18, -7],\n [-8, -25, -1, 1, -19, 18, 16, 3, 5, 18],\n [17, 10, -7, -20, -1, 5, -17, -6, -16, 11],\n [1, -13, 15, -24, 24, -5, 7, -2, 18, 16],\n [8, -17, -24, 4, -4, 20, -15, 17, -9, 10],\n [-13, -19, -10, 7, 19, -25, -15, -20, -6, 9],\n [18, 11, 15, 0, -14, 4, 2, 1, 16, -7],\n [-21, -21, 15, 1, 2, 0, 1, 23, 16, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-949", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-25, 2, 22, -11, -9, 0, -6, -1, -13, 7, -1],\n [-18, -21, -20, -3, 4, -12, -3, -15, 5, -20, -15],\n [-13, -14, -24, 9, 10, -9, 2, 2, -4, 12, -19],\n [-11, 6, -15, -2, -23, 4, -20, -24, -12, 15, -8],\n [25, 18, 5, -13, 0, 18, -14, -8, -17, 23, -5],\n [22, 23, 14, 17, -2, 8, -18, 18, 7, -3, -13],\n [23, -12, -12, -10, 23, 12, 13, 0, 0, -25, 6],\n [-11, -5, -8, 4, -13, -2, 4, -24, -7, 21, 18],\n [21, -1, 24, -12, -20, -14, -6, -3, 4, 4, 12],\n [4, 15, 4, 10, 23, 8, -10, -2, -12, 0, -18]]\nB =\n[[-12, 5, -24, 22, -22, -25, -6, -12, 14, -1],\n [-1, -23, -21, 12, 0, 14, 12, 12, -22, -19],\n [4, 4, -7, 13, 9, 14, 7, 7, -12, 12],\n [-16, 2, -12, 10, 12, -10, -5, 2, 7, -20],\n [15, -11, 18, -23, 17, 21, 9, -12, -24, 3],\n [-22, 0, 25, -14, -24, -9, 9, -16, 22, -4],\n [15, 17, -5, -11, 9, 22, -5, -5, -5, 18],\n [6, -21, 13, -17, -8, -5, -18, 18, 8, -16],\n [25, 15, -2, 14, -2, 6, 7, 12, 18, 25],\n [23, 8, -15, 5, -8, -3, -4, 17, -8, 14],\n [21, 15, 21, 13, -6, -13, 19, -25, -22, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50096", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 10, 19, -24, 2, 0, -3, -11, 10, 1, -20],\n [9, 13, 12, 9, 10, -16, 4, 15, 12, 3, 17],\n [13, 24, -22, -21, -22, 10, 19, -10, -1, -12, -15],\n [3, 8, -4, -12, -2, 13, 0, 17, 10, 13, -10],\n [12, 6, -20, 8, -18, 4, 1, -19, 1, -1, 20],\n [15, -11, -1, -4, -8, -14, -3, 25, 19, 13, -1],\n [-16, 4, -16, 8, 20, -13, 3, 12, 15, 19, -17],\n [-13, 11, -12, 11, -17, -18, 13, 14, -23, 21, 14],\n [7, 6, -19, -7, 8, -12, 24, 21, 20, -7, 25],\n [0, -9, 2, -7, 1, 22, -7, 7, 25, -19, 3]]\nB =\n[[17, -21, 4, 23, 17, -18, 16, -14, 16, -13, 0],\n [-8, 16, 25, 23, -6, -10, 11, -23, 1, -11, 8],\n [19, -4, 14, -3, 23, -22, 25, 15, -3, 21, -17],\n [-2, -5, 15, 20, -10, -1, 0, 23, 19, -17, -11],\n [13, 7, -25, -21, -17, 18, -20, 2, 19, 0, 2],\n [14, -11, -20, 1, 12, -22, -15, -5, 4, -8, 9],\n [-23, -14, 1, 4, -5, 12, -5, 12, 14, -11, -8],\n [3, 22, 12, -5, -9, 15, 25, -8, 11, 12, -14],\n [-15, 22, 23, -6, -17, -25, -23, -5, -3, -17, -7],\n [19, 20, -7, -3, 1, 1, 13, 10, -14, 1, 20],\n [8, 7, 2, 5, 6, 24, -6, 14, 9, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56325", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[12, -4, 19, 15, -17, -17, -11, -13, -4, -10],\n [6, -24, 0, -12, 12, 8, -18, 10, -5, 20],\n [17, 2, 20, 18, 22, -20, -6, 5, 7, 18],\n [-19, -18, -17, -24, -9, 19, 11, 16, 18, -9],\n [12, 9, 21, 13, 4, -20, -22, 25, 11, 9],\n [-17, -20, -13, -4, 2, 4, 10, -24, 10, -18],\n [19, 16, 24, -17, -25, -13, 24, -11, 6, 8],\n [17, 5, -12, 21, -12, 22, 3, 21, -7, 1],\n [-17, 11, 11, 17, 2, -2, 2, 10, -8, -1],\n [9, -22, -12, 13, 0, -18, -2, -10, -6, -11]]\nB =\n[[-19, -9, -4, -4, -14, -8, 20, 21, -11, 11],\n [-10, -21, -24, 2, 15, 1, 5, 15, 10, 21],\n [17, -25, 24, 3, -25, -18, -10, 2, -4, -8],\n [-4, 15, -14, -7, -1, 24, -21, 8, 13, -16],\n [21, -19, 11, 21, -11, 16, -2, 0, 0, 20],\n [0, -16, -9, -12, -24, 22, -13, 1, -17, -19],\n [22, -16, -17, -4, -3, -19, 22, -17, 1, -2],\n [3, -9, -6, -19, 17, 14, -19, 2, -7, -6],\n [18, 13, 14, -19, -20, -1, 15, -13, 13, 14],\n [-4, 23, -9, 22, -4, 8, -18, 23, 19, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47992", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 16, -24, -24, 1, -12, 22, 13, -14, 6, 2],\n [2, 20, -1, -22, 0, 10, 24, -23, -25, -9, -19],\n [22, -21, -7, 13, 20, 8, 9, 23, -10, 14, 24],\n [21, 13, 1, 15, 12, 24, 24, -1, 0, -12, -12],\n [-12, -1, 10, -22, 21, -11, 6, -8, -12, -25, 16],\n [-6, -16, -16, -2, 8, 2, 1, 14, -25, 7, -22],\n [-19, -17, -10, -21, 8, -3, 17, 24, -1, 25, -13],\n [-2, -15, 25, -9, 11, -13, 1, -6, 7, 16, 6],\n [-18, 3, 14, -7, -20, 18, 13, 22, 15, -5, -4],\n [16, -16, -16, 3, -10, -25, -9, 4, 0, 20, -7]]\nB =\n[[-5, -9, 20, 14, -5, 15, 14, 19, 23, -7],\n [-19, -9, -25, 11, -20, 0, -24, 6, 22, -21],\n [11, 5, -14, 9, 4, 22, -20, -11, -11, -10],\n [-6, -13, 18, 16, 20, 5, 8, 3, -23, -17],\n [-15, -15, -1, -4, 16, 20, -17, -6, -5, -16],\n [-4, 3, -17, -21, 14, -15, -25, 16, -25, 13],\n [20, -21, 23, -4, 0, -20, 6, 22, -15, -16],\n [21, 13, 8, 5, -14, 25, 18, -10, 12, -23],\n [-24, -21, -15, -1, 9, 9, -4, 11, -4, -15],\n [6, 9, 5, 19, -18, -6, 16, 8, -22, -8],\n [25, -22, -6, -17, -10, 0, 12, -1, -22, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2383", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (8, 10) of the product matrix AB given:\nA =\n[[19, 15, 12, -7, -12, -5, -11, -23, 11, 24],\n [20, -10, -12, -17, 21, -19, -12, -20, -5, -11],\n [-18, 8, 14, -25, 6, 23, 25, -21, 4, -4],\n [-6, -10, -19, -19, 24, 24, -24, 21, -12, 5],\n [24, 15, -12, -21, -15, 14, -21, 3, -15, -21],\n [23, 6, 10, -11, -7, -4, 8, -9, -14, -1],\n [-9, -16, 2, -8, 25, -8, 19, 6, -12, -10],\n [24, -8, -10, -9, -19, -14, 8, -16, -21, -5],\n [-23, -7, 19, 18, 9, -20, -12, -22, 19, 25],\n [-8, 3, 9, 12, -10, -6, -2, 9, 18, 25],\n [-7, -22, 7, -24, -13, 19, 4, 8, 4, 25]]\nB =\n[[-2, 22, 18, 7, 15, 23, -16, -8, -7, -19, -7],\n [-2, -11, 15, 16, -3, -22, 12, -22, -21, 15, 18],\n [-3, 14, 11, -15, -15, -13, -12, -18, -1, -8, 25],\n [18, 18, -8, -16, -19, 24, 18, -12, -11, -10, -24],\n [4, 4, -8, 5, 18, 22, -13, -6, 23, 24, 9],\n [-3, 16, 7, 12, 9, 25, 10, -6, -23, -18, 14],\n [6, 3, -19, -24, -5, -20, 2, 22, 16, 10, 6],\n [19, 16, 20, -17, -15, -3, 24, -15, 23, -24, -23],\n [-15, 24, 9, -11, 17, -15, 5, 2, 2, 6, -1],\n [-6, 2, -1, -15, -7, 2, -25, -21, -16, 16, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 10, -24, -8, -13, 25, -21, -6, -24, -15],\n [4, 6, 6, 24, 12, 2, -16, -4, -9, -4],\n [17, -7, -9, -2, 10, 6, 20, 10, 2, -12],\n [10, -20, -17, -5, -14, 4, 5, 14, -22, 5],\n [1, -1, -21, -20, -21, 25, 1, -18, -17, -11],\n [10, 15, -19, 6, -18, 21, 25, -11, 11, -7],\n [13, -20, -7, 2, -9, 16, -7, 5, -15, -11],\n [-16, 17, -3, -23, -23, -8, -1, 17, -6, 3],\n [-4, 24, -11, 13, -16, -5, 3, 6, -16, -13],\n [21, -3, 24, -3, 5, -22, 23, -23, -5, -24],\n [-22, -25, -11, 7, -20, -19, -7, 18, -25, 13]]\nB =\n[[-7, 19, 0, 18, -14, -4, -13, 2, -12, -4, 4],\n [18, -6, 18, 1, 12, 16, 15, 8, 13, 15, 18],\n [11, -25, -11, 6, -18, 7, -8, 19, 3, 6, 7],\n [-21, -8, 22, -16, 10, 7, -3, 14, -21, 8, -2],\n [-9, 5, -19, -9, 2, 12, -4, -11, 11, -11, 24],\n [24, -1, -5, 12, -24, 1, 23, 6, -5, -22, 18],\n [-7, -24, 0, 8, -12, -11, -6, 8, 10, -7, -17],\n [-19, 4, -13, 1, 18, 9, -13, -11, 20, -17, 19],\n [-3, 10, 14, -23, 8, -7, 2, -3, 14, 23, 19],\n [-19, 15, -14, -12, 20, -11, -23, -11, 25, -2, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65512", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-18, -21, 25, -22, -12, -10, -6, -2, -20, 5, -20],\n [9, -11, 3, -23, -15, -23, 2, -16, 24, 7, 22],\n [-10, -16, 7, 10, -23, -21, -14, 18, -13, -2, 18],\n [6, -10, 6, 19, 11, 10, -5, 21, -14, 25, -5],\n [25, -5, 17, -20, -17, -25, -14, -12, -20, -25, -4],\n [8, -15, -23, 16, -20, -20, -6, -5, -24, 0, 5],\n [0, 6, -16, -3, -20, -3, 2, 23, 4, -12, 11],\n [6, 23, 8, 15, 18, 25, -4, 5, -19, 15, -5],\n [-10, -6, 17, 18, 21, 24, -7, 22, 6, -11, -21],\n [-15, -11, 3, 24, 19, -22, 23, 10, 22, -3, -11]]\nB =\n[[20, 18, -23, 6, -16, 14, 12, -4, -12, -9, -5],\n [25, 22, -11, -11, -25, -2, -14, -16, 20, 16, 16],\n [5, -15, -10, -17, 21, -12, -7, 5, -17, 10, 13],\n [0, -18, -2, -18, -7, 21, 22, 4, -4, -17, 18],\n [22, -22, 11, -18, -25, 2, -20, 21, 10, -15, -21],\n [24, -2, 21, -8, -6, 2, -13, -21, 4, -25, -4],\n [-8, 20, -21, 5, -20, 1, -1, 3, 2, -10, -14],\n [-6, -8, 8, -3, 19, 1, 23, -9, 22, -5, 24],\n [14, 5, -23, -9, 24, 0, -3, -20, 2, -18, 19],\n [-18, -7, 12, 3, -3, 21, 6, -16, 1, 23, -25],\n [13, 3, 19, -23, 25, 21, 11, 5, -15, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6919", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -20, -23, -21, -17, 2, -7, 2, 1, -13],\n [12, 17, -5, 1, 20, -20, 12, 23, -15, 21],\n [15, -9, 13, -19, 4, -5, -25, -1, 6, -18],\n [-21, 4, 25, -18, 23, -7, 18, 4, -11, 10],\n [18, 1, -13, -12, 11, 22, 4, 13, 21, -13],\n [-10, 18, -19, 22, 1, 19, 9, -11, 2, 9],\n [-19, 24, 20, 24, 25, 20, -6, 6, 12, 14],\n [6, 0, 13, -6, -8, 24, -11, -4, 25, -4],\n [-5, -24, 14, 17, -8, -3, -13, 15, -17, 23],\n [-19, 15, -25, -24, -22, -12, 6, 10, -24, 14],\n [24, 25, -12, -6, -1, 16, 23, -18, 2, 20]]\nB =\n[[-5, -3, 6, -18, 5, 11, -10, 14, 16, 1, 14],\n [15, -8, 9, 23, -11, 1, -9, 14, -24, 23, 24],\n [5, 11, 15, 15, 8, 8, 25, -23, -9, -12, -12],\n [20, 12, 9, -25, 22, 3, -22, 7, -9, 2, 24],\n [0, -18, 8, -8, 5, 1, -10, -16, 14, -14, -4],\n [-10, -14, -15, -6, 25, -25, 1, -23, -14, 4, -17],\n [11, -25, 16, 23, -22, -11, 25, 1, -18, -3, -11],\n [1, 5, 13, 21, -18, 4, 16, -8, -22, 21, 17],\n [-4, -23, -11, 9, 21, 12, 7, -12, 22, -25, 23],\n [0, -18, 24, -10, 12, -16, 16, 11, 0, 2, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1271", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 23, -12, 20, 9, 3, -14, -8, 18, -24, -24],\n [-9, -16, -8, -4, -7, -25, -2, 10, -1, 10, 5],\n [5, -24, -7, -14, -16, 5, 19, -4, -3, -3, -11],\n [0, -23, -3, -6, 19, 14, 13, -18, -8, 15, -20],\n [1, 10, -11, 11, -21, 13, -17, -19, 15, -6, -16],\n [0, -22, 12, -2, -12, 15, -25, -9, 19, -2, 1],\n [-19, -17, 17, 9, -14, -5, -23, -11, -5, -16, 7],\n [20, -20, -24, 3, 14, 7, -22, -22, 3, 11, -6],\n [15, -3, 19, -8, 23, -1, -25, -11, 8, 22, -6],\n [11, 1, -4, 25, -21, 8, 13, -23, -9, -2, -2],\n [-23, 19, -19, -1, -23, -11, 3, 24, 3, -16, 6]]\nB =\n[[-3, 13, -17, 11, 14, -12, -22, -6, 2, -12],\n [18, 8, -13, 5, 7, 13, 2, -1, 6, -17],\n [2, 5, -9, -3, -13, -16, -10, -20, 22, -15],\n [-23, 2, 15, -11, -13, 16, 19, -9, -19, 2],\n [12, -13, -9, -11, 10, 2, -11, 20, -15, 5],\n [-22, 9, 8, 1, -16, 4, 19, -6, 3, 3],\n [-3, 24, -5, 22, 17, -16, 15, -14, 4, 25],\n [7, -8, -12, -4, -5, -25, 23, 17, -11, 10],\n [21, -4, 6, 20, 7, 15, 13, -3, 17, -24],\n [-24, 12, 25, 3, 20, -23, 13, -19, 10, 3],\n [11, 23, 10, -3, 19, -10, 22, 5, 8, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-25, -8, 14, 17, -11, 22, 23, -9, 18, -16, -6],\n [-20, -18, 19, 8, 6, 25, 16, -22, 18, 24, 13],\n [-6, -2, -2, 0, -1, 10, -19, -16, 21, -14, -25],\n [24, -1, -10, -21, -7, -22, -20, 0, 23, 13, 13],\n [-17, 19, -12, 22, -17, -11, 11, 24, -6, -18, 6],\n [21, -5, 15, -7, 3, 5, -20, -22, 17, 3, 16],\n [-23, -25, 18, -11, 21, -5, 20, 5, -19, -9, -7],\n [13, -23, 4, 9, 3, 24, -12, 9, 2, 4, 0],\n [-19, 13, 5, -21, 9, 24, 21, -12, 10, 1, -2],\n [14, 3, 19, -4, -18, -11, 23, -21, -22, -15, -8]]\nB =\n[[16, 23, 4, -11, -20, -10, 21, 14, -17, 17],\n [8, 1, -13, 10, 1, -17, -21, 25, -4, 5],\n [-23, 4, -5, 9, -20, 2, 6, 16, 11, -1],\n [6, 9, -4, -2, 13, 4, 24, 6, 5, -3],\n [14, 7, -1, 10, -2, 5, 13, 20, -13, -16],\n [-3, -8, 6, 7, 10, 2, -10, -10, -8, -18],\n [16, -10, -15, -20, -25, -14, 12, 2, 19, -9],\n [-25, 6, -18, 14, 17, 20, -2, -16, 21, 13],\n [13, -16, 10, -1, 24, -16, -7, 20, 19, -11],\n [-10, -24, 3, -22, 24, 3, 5, -9, -16, 1],\n [15, -11, 18, 5, -5, 15, 20, 19, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1381", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[25, 10, -9, 25, -23, -12, 23, -13, 15, 1, -25],\n [-9, 22, 24, 8, -12, -9, -23, 8, 14, -1, -24],\n [8, 0, 5, -17, 4, -6, -5, 3, -1, 12, 18],\n [-1, -17, 13, 18, 0, 11, -10, 11, -14, -2, 0],\n [-6, -17, -3, 13, 3, 5, -7, -6, -3, 17, 1],\n [4, -5, 18, 9, 23, -19, -4, -16, -3, -11, 4],\n [8, -13, -22, -8, -3, 7, 8, 8, 10, 9, -9],\n [2, -12, 8, 22, -15, -13, 7, -24, 8, 3, 11],\n [-22, -14, 0, 2, -23, -6, -16, -8, 1, 5, 1],\n [16, -25, -20, -15, 8, 13, -6, -5, -5, -8, -5],\n [-7, -22, -13, -8, 3, -1, -13, 1, -7, 23, -25]]\nB =\n[[12, -7, -25, 14, -9, -5, -4, -11, 24, 13, 22],\n [13, 6, 23, -22, 18, 19, 6, -22, -25, 7, -19],\n [-17, -25, -10, -8, 21, -20, -24, -17, -22, 19, -3],\n [17, 19, 17, 25, -18, 13, -1, -10, 9, -9, -8],\n [1, -11, -9, 17, -21, -10, -11, 16, 20, 8, 22],\n [-7, -18, 21, -16, -21, 22, 0, -4, 18, -3, -13],\n [-17, 23, -6, 2, 18, 11, -2, 18, 7, -6, 22],\n [4, 18, -17, 19, 23, -9, 10, -12, -7, -19, -23],\n [7, 18, 6, 21, -15, 16, -24, 0, -22, -9, -9],\n [2, 4, 14, -3, 20, -2, 3, -22, 12, 3, -7],\n [1, 3, 10, 9, -20, -3, 13, 20, 18, 22, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58195", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-24, -13, 14, -5, 5, 22, 10, 22, 12, 1],\n [10, 22, -3, -5, -13, 11, 21, 0, 14, -19],\n [20, 13, -4, 13, -3, 4, -8, 16, -8, 20],\n [-16, 13, 4, 0, -19, -19, -21, -25, 20, -8],\n [-13, -1, 14, -18, -16, 6, -9, 12, -11, -11],\n [22, 14, 25, -6, -11, 9, -20, 4, -18, 5],\n [22, 21, 6, 19, -11, -8, -13, -2, 14, -12],\n [2, -15, -20, -1, -25, -1, -24, 6, -13, 7],\n [6, -2, 1, -22, -2, -3, 3, 8, -5, 4],\n [0, -6, -10, -23, 23, 11, 14, 18, -1, -3]]\nB =\n[[18, -25, 7, -11, -9, 8, -9, 15, 18, -22, -13],\n [-22, -19, 20, -17, -3, 7, 7, -6, -22, -25, 16],\n [8, 1, -5, -2, -11, 9, -1, -17, -9, -5, -13],\n [-23, -22, -22, 17, 2, -19, 0, -15, -2, 17, -16],\n [11, -13, 18, 16, 13, -7, 25, -7, -14, -4, 21],\n [11, 4, 20, -14, 3, -5, -15, 11, 22, -8, 18],\n [1, 11, 22, -14, -3, 8, 12, -3, -1, -22, 4],\n [4, -13, 16, 23, -12, 21, -18, -2, -8, 9, -1],\n [-9, 6, -2, -19, -13, 1, 22, -21, 10, 0, 16],\n [19, 5, -16, 20, 0, -4, -14, 6, 1, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57578", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 7) of the product matrix AB given:\nA =\n[[13, 15, 14, -13, -12, 18, 14, -4, -8, 22, 3],\n [17, -10, 20, 9, 8, -23, -22, -21, -16, 3, 6],\n [5, -24, -14, 1, -21, 11, 1, -3, 7, -22, -5],\n [-2, 18, 5, 18, 22, -2, 23, -16, 23, 23, 24],\n [-24, 5, -1, -22, 25, -15, -9, 18, -24, -20, -17],\n [-21, -6, 3, -5, -17, 2, -18, 5, -6, 1, -18],\n [-5, 2, -3, -20, -23, -21, -17, -19, -22, 13, -21],\n [-15, -11, 8, -13, 22, -19, 14, -20, 13, 24, 4],\n [-4, -1, 2, -6, 13, -23, -21, -25, -11, 0, -23],\n [14, 15, 21, 16, 8, -21, 5, 25, -13, 17, -25],\n [-4, -11, 0, -8, 22, -17, -25, 17, -17, -3, 17]]\nB =\n[[19, -24, -12, 12, 14, -8, -10, 3, 18, -15],\n [-20, -23, -12, -24, 6, 5, -15, -4, -23, 24],\n [5, 7, -2, -25, 18, -11, 11, 1, 12, 22],\n [1, 18, -14, -23, 4, 6, -3, -24, -19, 8],\n [6, 13, 6, 17, 17, -12, -23, 20, 6, 17],\n [10, -9, 22, -23, -16, 21, 14, -8, -23, 13],\n [-16, -17, 20, 20, -15, 7, 10, 0, 1, 12],\n [-4, 0, -4, -21, 9, -24, 9, -17, 25, 25],\n [23, -8, 17, -14, -23, -8, 12, -19, 7, -20],\n [-8, 19, -4, 25, 13, 25, -17, 9, -3, -14],\n [-2, 24, 14, -17, -13, 14, 16, -9, -19, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-713", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 8) of the result:\nA =\n[[24, -2, -24, 9, 2, -7, 7, -5, -16, 20, 19],\n [-17, 12, -20, 25, 16, 9, -8, -7, -21, -1, -15],\n [-16, -9, 10, 0, 5, 6, -5, -8, -8, -25, -12],\n [-18, -24, 25, -11, 8, 10, -25, 25, -5, 16, -25],\n [6, -6, 21, 10, 13, 4, -19, -4, 24, 19, -16],\n [-18, 1, -16, -12, 20, -15, -20, -5, 7, -7, 13],\n [-2, -8, 9, 17, 11, -7, -2, 8, -4, -22, -16],\n [-24, -18, 7, 12, 17, 2, -16, 19, -25, 8, -23],\n [-17, -21, 16, -16, -14, -8, -5, -5, -25, -23, -21],\n [-1, 23, -18, -9, -17, 6, -20, 23, 14, -5, -19]]\nB =\n[[-19, 21, 13, 1, -18, -17, 2, -11, -24, -19],\n [21, -8, -4, 24, -16, 24, 7, -19, -23, -12],\n [18, 20, 10, -13, -10, -10, -21, -1, 12, 12],\n [24, 12, 13, 22, 15, 0, -13, 18, 25, 0],\n [-25, -18, -22, -5, -4, 25, 11, 23, -23, -7],\n [-25, 3, -3, 7, 15, -3, -21, -19, -20, 23],\n [-4, 23, -13, -14, -22, -18, 11, 5, 11, 19],\n [0, 17, -18, 14, 7, 19, 3, -21, 2, 14],\n [-9, -3, 19, -17, -24, 6, 25, 23, 5, -19],\n [4, -23, 25, 25, -17, -16, 20, 24, 21, 0],\n [-25, 4, 12, -11, -1, -20, -8, -25, -23, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "459", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[22, -18, 23, 14, -9, -1, 15, -14, 3, -1, 25],\n [10, -1, 3, -15, -22, -12, 20, 12, -9, -24, -18],\n [10, -16, -19, 10, -10, -12, -10, -1, 15, -22, 3],\n [-20, -25, 13, -25, 25, 14, -23, -25, -25, 13, -5],\n [19, 4, 6, 7, 22, -4, 4, 20, -22, -3, 18],\n [-1, -14, -9, -11, -16, 9, 3, -14, -25, -25, -16],\n [-8, 21, -24, 23, -18, -4, -4, 0, 0, -17, -5],\n [5, 17, -20, -12, 7, -19, -2, -17, -15, -3, 22],\n [25, -24, -11, 9, 10, 2, 13, 18, -22, -16, -20],\n [4, 20, 9, 23, 17, -16, 6, 16, 16, -23, 0],\n [-11, -9, 1, -8, 25, -7, -14, -2, -21, -2, 1]]\nB =\n[[22, 4, -11, 21, 12, 18, 8, 1, -6, 15, 6],\n [-22, -21, -18, -4, 16, -19, -4, 20, 4, 11, -10],\n [-11, -21, -23, -3, -16, -21, -3, -11, -8, -1, -18],\n [5, -5, -24, -4, -18, -3, 6, -18, -22, 4, -7],\n [-3, -8, 3, -3, 7, 21, -8, 18, 7, -19, 25],\n [2, -25, 13, 8, 13, -7, 5, -13, -2, -21, -3],\n [-7, -25, 7, 24, 7, 6, 2, 11, 15, -14, -17],\n [24, -15, 7, -7, 16, 8, -19, 5, -24, -7, 12],\n [6, -16, 15, -18, 0, 4, -15, 15, -6, -6, -17],\n [-18, -11, 8, -2, 7, 15, 15, 19, 14, 1, -5],\n [-21, 9, -5, -22, 23, 22, -10, 5, 0, 9, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1610", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -5, -10, 21, 13, 8, 16, -11, -20, -24],\n [-2, 23, 2, -25, -25, 2, 10, -6, 22, -18],\n [-25, 0, 25, 17, 23, -1, -16, -14, 15, -19],\n [-14, 21, 14, -9, -21, -12, 8, 22, -9, 9],\n [-25, 24, 24, 10, -11, -7, 25, 16, -21, -7],\n [17, 13, -21, -14, -7, 21, -14, 10, -14, -8],\n [23, 25, 22, 17, 8, 22, 7, 23, -8, 3],\n [19, -21, -1, -2, 3, 12, 7, -16, 11, 7],\n [-3, -15, -2, -2, -19, 24, -5, -6, -16, -1],\n [21, 10, 22, 21, -11, 18, 14, 14, 24, -20]]\nB =\n[[11, -24, -14, -22, -3, -13, -9, 5, -10, 15, 0],\n [2, -25, 21, -14, 11, 24, -6, -24, 10, -11, 12],\n [-4, 18, 24, 6, -6, 10, 7, -11, 24, 20, -23],\n [3, 21, 1, -21, 5, -4, 9, -19, -20, 0, -25],\n [-7, -19, 10, -14, -6, -3, -1, 4, 3, 5, -8],\n [15, -7, -22, -25, 15, -11, -18, -11, -11, 24, 13],\n [-4, -8, -10, -24, 10, -6, -10, -23, 4, -24, 9],\n [0, -21, -24, 25, -6, 8, 8, -6, 24, -1, -6],\n [-1, -12, 21, 18, 17, 17, 13, -14, 22, -21, -24],\n [-10, 4, 21, 17, 12, 19, 25, 16, -2, 25, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14825", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[11, 13, -15, -12, -3, -10, 24, -5, -22, 7],\n [21, -12, -7, -21, 10, 5, 19, -8, 18, 5],\n [4, -5, 21, 4, 15, -22, -21, 15, 19, -16],\n [1, -10, 4, -13, 10, -5, 19, 14, 19, -11],\n [-6, -6, 19, -21, 6, -20, 4, 0, 11, -13],\n [3, -21, -1, -13, -2, 5, -6, -18, -17, -5],\n [25, -6, -11, 0, 16, -15, 11, 15, -15, 1],\n [4, -7, 8, 12, -3, -25, -23, -23, 2, -12],\n [4, -21, 23, -11, 12, -12, -12, 23, -18, -18],\n [-7, 6, 5, 3, 15, -15, 19, -13, 1, -7],\n [0, 25, 11, 22, -17, 2, 6, -23, 25, 6]]\nB =\n[[-21, -18, -12, -23, -2, -13, 17, 3, -18, 25, 16],\n [5, 0, -8, -8, -19, 22, 12, 22, -10, 7, 25],\n [-23, 12, -22, 10, -22, 16, -17, 14, 25, -9, -9],\n [7, -6, -12, -4, 1, 17, -23, -2, 4, -18, -4],\n [-1, -16, 23, 3, 14, -25, -5, 13, -2, -17, 18],\n [0, -17, -6, 9, 10, 16, 10, -17, -4, -25, -21],\n [-17, 11, 12, -7, -18, 16, 17, 6, -13, -6, 10],\n [17, 18, 11, 4, -16, 5, -1, 3, -2, 13, -5],\n [15, -17, 16, 16, -24, -22, -18, 6, -12, 23, -13],\n [-5, -2, 24, -8, 19, 14, 0, 6, 18, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1792", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, 9, -14, 25, -1, 19, 5, -16, 21, 8, 25],\n [-23, 20, 13, -18, 6, 17, 3, -4, -6, -20, 17],\n [23, 3, 16, -9, 5, 8, 12, 11, -22, -24, -14],\n [9, -20, 20, -18, -5, 20, 9, 22, -11, -19, -11],\n [19, -20, 21, -9, -22, -4, 6, -4, 1, 20, -11],\n [18, 25, -4, 2, 16, 12, -17, 8, 10, -17, -11],\n [19, -6, -18, 2, 25, -7, -10, -15, 16, -18, 7],\n [-16, -8, 9, 17, 24, -23, 14, 1, 2, 20, -20],\n [21, -12, -19, -16, -11, 5, 3, 16, -9, 25, 3],\n [23, 18, -11, 0, -14, -1, 15, -21, -22, 18, 22],\n [15, 5, -23, -23, 0, 24, -9, -16, -24, -2, -15]]\nB =\n[[-2, 9, -3, 6, -3, 8, 15, -7, -24, 25, -24],\n [-11, -5, 9, -21, 17, 1, -2, -19, -20, 20, 7],\n [23, -9, 20, 16, 4, -18, 14, 20, -19, -20, -22],\n [-25, -11, 5, -1, 21, 7, 9, -21, -21, 10, -9],\n [-12, 3, -18, 8, 14, -25, 3, 10, 25, 11, 3],\n [-21, 6, -2, -7, -14, -25, -19, -9, 8, 17, -19],\n [-9, -23, 3, -4, 12, 17, 3, 24, 24, 16, -21],\n [4, -3, -5, 0, 21, -5, -6, -3, -22, -5, -5],\n [-25, -11, -9, 25, -12, -7, 24, 8, -20, 19, 23],\n [-20, -21, -19, 7, -13, 25, -25, -13, 17, 1, -19],\n [-23, -1, 7, 14, -9, 19, -12, 11, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1674", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 5) of the result:\nA =\n[[12, 1, 12, 14, 19, 24, -3, 5, 10, -9, 11],\n [-23, 10, -21, 20, -11, 23, -20, -16, 6, -3, 22],\n [-9, 20, -6, 18, 15, -11, 18, 20, -4, 24, -20],\n [-22, -3, 18, 19, -7, 19, 5, 18, -23, 2, -23],\n [-12, -8, 1, 25, -16, 23, -11, -7, -17, -22, -11],\n [25, 22, -18, 23, -25, -19, 5, -8, -14, 22, 4],\n [7, 21, -19, 2, 23, -23, 17, -20, 5, 12, -11],\n [-19, 17, 4, 1, -9, -8, -4, 0, 25, 1, 14],\n [-2, -18, -5, 3, 17, -5, -23, 5, 1, 20, 1],\n [-17, 7, 7, 0, 2, 18, 17, 5, -25, -6, -14],\n [-9, -11, 8, 24, -10, -22, -18, 8, 20, -1, -11]]\nB =\n[[2, -17, -24, -9, -16, -17, 5, -24, -2, -7, -9],\n [17, 23, -16, 24, 2, 12, 22, 2, 24, 24, -25],\n [-23, -11, -16, -5, 11, -11, -3, -12, -11, -16, -17],\n [18, 13, -21, -1, 16, 0, -18, -4, -1, 22, -14],\n [-17, -16, 22, -16, -17, 0, 9, 1, 5, -7, 17],\n [12, -20, -11, 3, 21, 19, -21, -12, -24, -3, 18],\n [20, -7, -2, -6, 21, 1, -2, -9, -1, 20, 5],\n [2, 24, 2, -4, -21, 18, 16, -18, 12, 2, 21],\n [-14, -1, 12, 18, -11, 18, 15, 25, 8, 19, -13],\n [-18, -13, 10, -20, 12, 6, -5, 18, 18, 23, -19],\n [0, -11, 23, 16, -3, 12, 15, -11, 22, 14, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[6, 11, -8, -6, 20, -24, -3, 4, -23, 20],\n [13, 21, 23, -25, 15, -4, 3, -12, 22, 2],\n [-5, 19, 6, -20, -25, -5, -22, -23, 23, 4],\n [5, 8, -7, -6, -3, 14, -1, -11, 12, -3],\n [-24, -11, 18, 9, -16, -12, 1, -12, 9, 7],\n [-25, 8, -7, -2, 16, -22, 10, -13, 6, -17],\n [13, -10, 24, -23, -6, -16, -4, 22, -23, -15],\n [-1, 16, 22, -18, -17, -11, 6, -23, -22, 4],\n [-13, 18, -5, 15, 20, -7, 13, 22, -4, -6],\n [11, 5, -16, -8, 17, 13, 20, -6, -8, -15],\n [-4, 18, -8, 8, -3, -25, -16, -25, 12, 13]]\nB =\n[[23, -17, 5, -19, -9, 9, 22, 11, -8, 7],\n [-22, -3, -15, -17, 4, -18, 14, -21, -14, -25],\n [-11, -1, -8, 12, 16, 20, 0, 14, -23, -4],\n [0, -7, 18, 18, 21, 13, 10, -5, 15, 22],\n [0, -13, 10, -2, 15, 0, -5, -8, -11, -11],\n [-20, 17, 5, 2, -18, 3, -5, -9, 23, -2],\n [24, 10, 5, 21, 8, -24, 16, -23, 4, -18],\n [-19, -14, -7, 0, 2, -11, -12, 22, -12, -23],\n [24, 3, -20, 23, -3, 2, -12, -12, -6, -13],\n [1, 9, 19, -24, 15, 19, 14, 22, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-23, 19, -22, 24, -24, -6, -11, 23, 6, 16],\n [-25, 12, 9, 25, -19, 19, -13, 23, -25, -12],\n [3, -23, 20, -2, -25, 22, -16, -13, 10, -17],\n [-12, 10, -16, 14, -3, 9, -19, 16, 9, -24],\n [-11, -17, 21, -9, 13, -8, -11, -8, -2, -3],\n [-14, -3, -5, 0, -18, 4, 8, -24, -21, 5],\n [7, -22, -20, -3, 19, -7, 17, 19, -18, 13],\n [-13, -25, -20, -19, 22, 1, -11, 8, -3, 22],\n [23, -2, -11, 9, -22, 18, 11, -9, 5, 12],\n [-16, 24, 1, 16, -20, -20, -11, -22, 22, 14]]\nB =\n[[-19, 25, 23, 19, 21, 0, 5, -24, 2, 16],\n [-13, -8, 4, -15, -13, 25, -2, 3, -21, 9],\n [-7, -13, -21, 18, -12, 12, -4, -17, 23, 14],\n [0, 19, -21, 3, -4, 23, -23, 2, 12, -12],\n [21, -12, 17, -15, -17, 12, 21, 18, -20, -25],\n [-1, -10, -11, 8, -9, -23, -23, 11, -9, 23],\n [12, -25, -19, 0, 21, 13, -7, 4, 17, -12],\n [-13, -6, 0, 1, -1, -17, 15, 22, -14, -16],\n [-20, 24, 8, 15, -7, -20, -24, -11, -9, -10],\n [2, -5, -18, -16, -16, 24, -16, -17, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 7, -22, -23, 16, -14, -8, -3, -6, -20],\n [8, 16, -24, 4, -17, 1, 16, 8, 14, -2],\n [23, -9, 3, 10, 24, -14, 5, 23, -17, -7],\n [20, 20, -9, -24, 14, -21, 13, 22, -10, -9],\n [1, -19, -18, -18, -3, 6, 17, 21, -8, 12],\n [-14, -11, 2, 12, 24, 5, -17, -18, 20, -7],\n [25, -18, 8, -22, 5, 12, -23, 9, -7, 17],\n [3, -16, -14, 20, 4, 4, -8, -2, 6, -17],\n [21, -2, 0, -23, -3, -15, -16, 24, 10, -13],\n [3, 12, -13, 0, -6, -21, -6, -12, 19, -12]]\nB =\n[[-18, 22, -13, -2, -11, 25, -25, -4, 8, 24, 25],\n [14, -23, 0, -12, 15, -18, 23, -10, 16, -5, -16],\n [-1, 12, -4, 23, 22, 21, 20, -22, -22, 4, -24],\n [3, 17, 10, -5, -5, 22, -5, -22, -25, 0, 25],\n [-24, -17, 19, -8, 22, 22, 16, 15, -15, -1, 0],\n [10, 16, 9, 12, -23, 15, 9, 24, 14, -4, -18],\n [-11, 19, -19, -7, 14, 16, -9, -25, 19, 3, -13],\n [22, 3, 15, 16, -20, -21, 8, -15, -17, 12, 14],\n [15, -17, -18, 18, 14, -23, -13, -7, 8, 6, 23],\n [-10, 10, -8, -12, 4, -24, -13, 1, -9, 5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3031", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -21, -19, -8, -15, 6, 24, 1, 0, 11, 19],\n [2, 24, -24, -6, -22, -13, -2, 22, 12, 14, 22],\n [19, 3, 10, -24, 15, -8, 23, -18, -11, 15, -9],\n [-3, -24, -20, 3, 1, 11, 23, 8, -8, 16, -16],\n [12, 18, -9, -13, 22, 16, 1, -24, 8, 5, -3],\n [-19, 12, 7, -14, 19, -14, -7, -17, -16, -9, 24],\n [14, 13, 15, -16, -14, -11, 5, -11, 2, -22, 10],\n [-25, 18, 8, 21, -9, 13, 12, 18, 25, 7, -5],\n [0, 20, 10, -21, 7, -25, -20, 11, -24, -21, 0],\n [15, 25, 21, -13, -14, -21, -24, -22, 1, 24, -16],\n [-13, 18, -24, 0, -11, 20, -16, -4, 14, -1, -11]]\nB =\n[[-13, -18, -5, -5, -4, 20, 7, 19, 1, 14, 24],\n [-4, 4, -17, 19, 9, -8, 16, -21, 1, -20, 6],\n [-18, 13, -5, -8, -12, -11, 16, 0, 18, 6, 13],\n [2, 13, 17, 6, -13, -11, -8, 13, -20, -15, 6],\n [14, -6, 7, 14, -18, 25, 9, -21, 9, 21, -12],\n [-5, 21, -2, -9, -8, 8, -14, -10, -22, -1, 8],\n [2, 20, -15, -13, 5, -1, 13, -16, -2, -25, -1],\n [2, 10, -8, -20, -24, -23, 20, -18, 5, 22, -7],\n [24, -20, -12, -23, 22, -25, 18, 4, 20, -7, -7],\n [-17, -19, 20, 11, 24, 15, -19, -17, -22, -1, 23],\n [-14, -20, -8, 14, -5, -11, -23, -24, 15, 14, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-416", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -24, 20, 3, -24, 8, 1, 13, 18, 12, -8],\n [10, -7, 1, 19, -6, -5, -3, 4, -1, 5, 1],\n [8, -18, -7, 15, 0, 2, -22, 5, -10, 25, -16],\n [12, 22, -16, 19, -17, 13, 10, 25, 10, -7, -7],\n [-14, -13, -1, 10, -1, 2, 16, 13, 4, -21, -9],\n [-8, 17, 21, -5, -4, 13, 24, -20, 24, -10, -24],\n [25, -25, 4, 17, 11, 22, -3, -25, -7, 20, -23],\n [-24, 11, -9, 2, -8, 7, -11, -4, 15, 1, 11],\n [6, 19, -7, 2, 2, -16, -6, -1, -5, -12, -4],\n [0, 18, -15, -19, -9, -8, -19, -6, 12, -15, 18]]\nB =\n[[-10, 25, 1, 25, -15, -10, -3, -14, 14, -23],\n [-24, 12, 22, -2, 3, 21, 20, 8, -6, -8],\n [-12, -8, -24, -25, -6, 8, 15, 15, 22, -15],\n [1, -3, 12, 18, -23, -14, 4, 5, -3, -25],\n [15, -6, -20, -15, 9, -22, 3, -16, 25, 3],\n [12, -25, 14, -18, 12, -9, -7, 7, -11, 19],\n [5, -5, -23, -24, 9, 15, -10, 19, 25, 24],\n [-5, -14, 2, -14, 7, -6, 14, 23, -5, 13],\n [15, 23, 16, 10, -4, 0, -19, -19, -18, 0],\n [-2, -2, 14, 22, -14, 21, -18, -17, -23, -5],\n [5, 22, 21, -2, -22, -6, -10, -16, 17, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1244", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -21, -15, 3, 19, -11, -20, 22, -11, 17, -6],\n [8, -24, 18, -10, -7, 8, 23, -12, -2, 2, 22],\n [6, 11, -16, 23, 19, 22, -17, -2, 10, 3, 3],\n [22, -3, 1, 5, 17, -19, 23, 19, -22, -12, 16],\n [16, -16, 18, 8, 0, -3, -17, 11, -18, -12, -19],\n [-19, -17, -23, -12, -9, 24, 18, -4, 20, 0, 2],\n [19, -12, -17, 25, 0, -24, -15, -9, 8, -7, 13],\n [-8, -13, -21, 24, -3, -2, 3, 22, 21, -18, 0],\n [-11, -25, 2, 23, 21, 20, -12, 16, 8, 5, -20],\n [23, -21, 5, 11, -11, -11, 17, -21, 2, 7, -15],\n [17, -20, -3, 14, -24, -11, -3, -4, -17, 21, 14]]\nB =\n[[4, -10, 20, 21, 4, 19, -17, -25, 12, -18],\n [-8, 1, -8, 6, 23, 6, 22, 19, 10, 10],\n [-5, 20, 6, 5, 11, -10, 20, 20, -12, -2],\n [-1, 20, 25, 9, -9, 20, 16, 19, -22, -15],\n [21, -11, 4, -2, -24, 17, 8, -3, 5, 11],\n [-13, 7, -19, 6, -19, 16, 12, 18, -13, -2],\n [2, 6, 17, -8, 8, 22, 8, 25, 12, -25],\n [17, 24, 16, 5, 24, -25, 25, -10, 13, -11],\n [7, -3, 15, 8, -9, -1, 16, -20, 5, -21],\n [14, 14, 4, -21, -14, -19, 19, -13, 23, -22],\n [24, 16, -23, -14, -25, 1, 17, 24, -13, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4438", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-18, 6, -6, 25, -9, 8, 9, 9, 12, 16, -2],\n [-8, 24, 20, 22, 13, 7, 23, -3, -1, 11, 1],\n [-25, -5, 23, -16, 5, 18, -1, -6, -24, 22, -11],\n [2, -13, 24, -12, 24, -24, 8, 9, 11, -1, 22],\n [-11, -14, -17, 5, -12, 3, 22, 17, 12, 16, -18],\n [22, -23, -24, -10, -7, 4, 15, -10, 5, 2, -22],\n [-16, 25, 19, -8, 21, 6, 4, 10, -17, 10, 3],\n [-10, 2, -5, 21, -24, 20, 9, 2, 10, 5, 7],\n [-3, 15, -9, 20, 23, -25, 16, -3, 22, 1, -1],\n [6, -7, -2, -23, -14, 9, -11, -9, 24, 6, -19]]\nB =\n[[-7, -19, -21, 14, -5, 22, 22, 25, 21, -19],\n [11, -3, -15, -16, -5, 15, 7, -6, 7, 14],\n [9, 8, 10, 1, -7, 17, -21, 3, -16, 14],\n [-13, 3, -21, -14, -13, -4, 14, -11, -13, -25],\n [12, 17, 19, -25, -15, 17, 14, -4, 9, 25],\n [18, -20, 2, 5, -18, -21, 16, 22, 18, -9],\n [12, -17, -16, -6, -12, -12, 0, 3, 23, 1],\n [-1, -10, 10, 8, -10, 7, -23, -3, -15, 22],\n [-8, 21, 15, 18, 3, 24, -21, -2, 3, 3],\n [0, 14, -23, -24, -1, -7, 14, -24, -7, -25],\n [1, 19, 23, 9, 15, -21, 12, -22, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9775", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 7) of the product matrix AB given:\nA =\n[[22, 5, 22, -4, -15, 8, 23, -11, 24, -16, 12],\n [6, 22, 5, 11, 18, 2, 5, -20, -12, -3, -10],\n [-1, 13, -24, 12, 15, 13, 8, 25, 14, 17, -1],\n [10, -10, -8, -13, 11, 1, 8, -15, -25, -13, 4],\n [-21, -8, -12, -13, 6, -19, -18, 24, -19, 23, -10],\n [17, 5, 25, 1, 7, 3, -18, 7, 15, -7, -5],\n [15, -5, -1, 16, -3, -15, 7, -6, -1, 0, 14],\n [-14, 6, 7, -16, -22, -11, 25, -20, 1, -21, -21],\n [-8, 2, 9, -4, 8, -22, -8, 15, 25, 0, 16],\n [-4, 21, 7, 17, -12, 5, -16, 25, -2, -5, 22],\n [-18, 6, 5, 8, -3, -1, -19, -7, -19, 21, -18]]\nB =\n[[-12, -25, -13, -23, 2, 12, 25, -11, 10, -23],\n [-22, -21, 24, 0, -1, -16, -18, -14, -23, 1],\n [24, -3, 14, 7, -12, -3, 5, -13, -14, 9],\n [-8, -5, 19, 21, 16, -25, 12, 15, 16, 21],\n [-17, -3, -12, -15, -19, 5, -2, 0, 4, 8],\n [20, 12, -21, -21, -7, 25, 12, 2, 0, 16],\n [-3, 20, 23, 4, -23, 2, 7, 16, -23, -21],\n [-7, 16, 22, -25, 12, -17, -21, 20, 16, 8],\n [11, 7, -1, 16, 3, -1, -17, -23, -11, -22],\n [19, 12, -6, 23, -3, 11, 21, -18, 11, 19],\n [7, 7, -19, -4, -21, 20, -11, -5, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[24, -19, 24, -7, -19, 14, 19, 24, -2, -15, 15],\n [-25, 6, 14, 18, -24, -11, -5, -2, 24, -9, 21],\n [-17, 9, -6, -7, -8, -6, 4, 14, -25, -2, -2],\n [21, -7, 4, 0, 16, 18, 12, 3, -13, -22, 19],\n [-9, 7, -21, 2, -2, -9, 24, 13, 22, 14, 18],\n [20, 25, -15, -14, -13, -18, -25, -17, 2, -24, -12],\n [-13, 22, -24, -22, -14, 22, -16, -23, -22, -20, -3],\n [-21, 24, -23, -16, 17, -7, -12, -5, 17, 2, -5],\n [10, -2, 12, -9, -4, -7, 19, -16, -15, 12, -24],\n [7, 17, 5, 22, 9, 11, 21, 21, 10, -3, 10]]\nB =\n[[14, 13, 0, -1, -9, -11, 11, 19, -22, -4, -9],\n [-4, -9, -12, -12, -9, -18, 8, 0, 19, 4, -4],\n [-10, 4, -10, 12, -2, 10, 9, -20, -22, -8, -20],\n [0, 11, 1, 15, -15, 12, -10, -7, 17, -11, 0],\n [15, 5, -7, 25, -2, -17, -3, -22, -16, -17, -7],\n [-11, 25, 8, 16, -7, 23, -5, 8, 25, -9, -8],\n [-9, -24, 25, -25, 17, -16, 11, 22, -21, -14, 10],\n [5, 12, 25, -17, 18, 0, -11, -10, -13, -1, 4],\n [-19, -22, 17, 14, 12, 4, -16, 4, 13, -19, 10],\n [9, -2, 13, 10, 19, -6, 23, 6, 13, 23, 0],\n [0, 10, 17, 9, 17, 9, -14, 7, 10, -12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65981", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[20, 19, 19, -2, -11, 5, -9, -14, -4, -3],\n [0, -12, -14, 24, -22, 20, 25, -13, -8, 17],\n [2, 12, 15, 18, -7, 20, 21, 17, 12, 20],\n [-23, -7, -6, -1, -15, -9, 23, 9, -12, 13],\n [-7, -23, 8, 23, 15, -4, 12, 1, -5, 15],\n [5, 1, 11, -24, 21, -17, -7, 16, 10, -16],\n [14, 19, 13, -19, -22, -11, -14, 22, -20, -17],\n [9, -18, -19, -22, -13, -7, -19, -16, -1, 18],\n [9, -1, 3, -14, 25, 21, 14, -14, -20, -16],\n [-24, 19, -1, -19, 14, -3, 22, -15, 10, 23],\n [22, 25, -3, 17, -19, 1, -13, 25, -9, 6]]\nB =\n[[0, -4, -13, -14, -19, -25, 7, -12, 21, 17, 15],\n [-9, -22, 25, 13, -25, 15, 19, -2, 8, 8, -2],\n [-11, -9, -13, -19, -17, 18, 9, -3, 21, 13, -3],\n [0, -25, -12, 6, 25, 22, -16, -25, -21, -23, 23],\n [24, 1, 25, -4, -8, -10, -24, 21, -13, 19, -10],\n [-18, 17, -18, -16, 7, 5, -14, -17, 11, -17, 22],\n [-8, 4, 6, 14, -3, -15, -6, -7, 10, 0, -16],\n [-2, -13, 20, 8, 3, 10, -19, 25, 4, -9, 22],\n [-13, -2, 5, 1, 24, -5, 18, -25, -11, -23, -20],\n [-12, 12, 7, 12, -18, 0, -11, -12, 22, -6, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, 7, 10, -2, -16, 24, 8, 10, 21, 10, -10],\n [-11, -8, -19, 21, -4, 6, 17, -7, 14, -25, 9],\n [-21, 24, -14, -14, -5, -7, -17, 17, 23, 22, 10],\n [16, 21, 25, 6, 9, 5, 6, 11, 6, 17, 11],\n [13, 12, 4, 6, 19, -24, 25, -15, -6, 11, -17],\n [12, 23, -7, 14, -19, -21, 21, 16, -2, 22, 15],\n [-19, -15, -17, 23, 4, 15, -23, -4, 14, 25, -6],\n [6, 22, -19, -19, -6, -1, 19, 9, 18, -2, 14],\n [-13, 22, 13, -22, -14, -9, -25, -9, -24, -20, 18],\n [-15, 17, -8, 14, -1, 13, 2, 20, -10, -14, 15],\n [3, -3, -5, -10, 25, 22, 15, 19, 0, 11, -4]]\nB =\n[[25, -16, -19, -17, -1, 20, -11, -13, 16, 20, 0],\n [-5, -3, 18, 2, 25, 12, -14, -2, -13, 14, 22],\n [-24, 13, -14, 13, 25, -12, 4, 15, 24, 17, 22],\n [-7, 5, 17, 24, 17, -1, -22, 24, 25, -13, 10],\n [16, 11, -23, -10, 0, 14, 13, -7, 20, -11, 6],\n [23, -5, -25, -20, 1, -3, 21, 5, -14, -5, -24],\n [-21, -17, -6, 20, -8, -4, -18, 8, -17, -19, 4],\n [-8, 1, -10, -5, -21, 3, 21, 11, 17, -4, -12],\n [-7, 9, -2, 16, -20, -23, 8, 19, 24, -24, -11],\n [11, -11, 6, -5, -9, 8, 6, 24, 21, -3, 9],\n [11, 17, 15, 11, 7, -1, 20, 11, 14, -5, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[22, 12, 14, 8, -7, 1, -17, -21, -21, -1, 0],\n [-7, 4, 10, 22, 22, -10, -19, -8, -5, 5, -25],\n [-23, 5, -1, -18, -25, -19, -19, -18, -7, -9, -15],\n [21, 15, 23, -15, 12, 15, 24, -24, -22, 24, 2],\n [7, -15, -23, 14, -21, -5, -4, 11, -15, 18, -4],\n [15, -13, -23, -13, 2, -15, -15, -5, -5, -19, -9],\n [22, -12, 7, -15, -13, -25, 8, -17, -13, 11, 4],\n [15, 19, 11, 21, -19, -12, 22, -20, 8, -10, 25],\n [11, 10, 20, -20, -18, -2, -23, -22, 6, -25, 8],\n [19, -17, -14, -16, -16, 24, 18, 22, -3, -20, -2],\n [-2, -5, 16, 5, 21, 15, 4, 8, -8, -14, 9]]\nB =\n[[-19, 15, 14, -1, -20, -25, 20, -10, 22, -22],\n [3, 12, 21, 2, -4, -18, 6, 7, -13, 1],\n [-8, -8, -13, -4, -12, -15, 13, 24, -4, 10],\n [-9, 25, 6, -12, 16, 3, -20, 24, -22, -15],\n [19, 14, -16, 2, -15, 9, -11, -18, -6, 24],\n [-5, -25, 3, -2, 4, 14, 9, 7, -6, -10],\n [-17, 5, -9, 5, 22, -3, -20, 4, -19, 22],\n [14, 16, 20, -15, 8, -14, 19, 21, 1, -14],\n [-13, -18, -10, 3, 9, 3, 5, -13, -14, 25],\n [-24, 7, -18, 15, 14, 23, 15, 6, 12, 2],\n [-11, -3, -2, -13, -5, -14, -13, 13, -3, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61244", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 8) of the product of the following matrices:\nA =\n[[20, 17, 2, -12, -9, -2, 8, 25, 22, -4],\n [-16, -18, -5, 11, -19, 0, -13, -10, 4, 5],\n [-21, 6, -10, 21, -17, -4, 18, 14, 19, 11],\n [-12, -10, 17, -6, 18, -11, 18, 0, -17, -25],\n [9, 18, -6, 19, -20, 16, -16, 22, 7, -10],\n [10, -20, -7, 5, -24, -8, 16, 2, -22, -25],\n [21, 16, 24, -10, 19, 21, -24, 10, -25, 13],\n [-3, 0, -15, 16, -25, -15, -2, -16, -12, -12],\n [-19, -3, 17, -4, 10, 1, -24, 13, 25, 20],\n [-7, -19, -14, -23, 21, -21, -18, -12, 10, -19],\n [-19, 24, 20, 6, -18, -14, -16, -12, -17, 12]]\nB =\n[[4, -21, -25, -25, -6, 23, -15, 0, 18, -23, -20],\n [17, 19, -15, -18, 3, -16, 8, -2, 20, 22, -9],\n [6, -15, 8, -2, -21, 3, 22, 22, 8, -10, -1],\n [11, -18, 3, 20, -1, 16, -3, 8, -23, 4, 24],\n [8, 6, 3, -17, -24, 13, -19, 20, -21, -18, 6],\n [-8, 12, 20, -8, 23, 15, 19, -10, -5, -16, 16],\n [-22, 18, -18, 21, -7, 21, 14, 14, 25, -17, 4],\n [-9, 14, 18, -11, -22, -20, -10, 0, 11, -3, -13],\n [21, -9, 1, -4, 11, -7, 13, 9, -13, -12, 22],\n [5, 19, -24, 20, 13, 11, -12, -17, -16, -19, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 5) of the result:\nA =\n[[20, -1, 20, 2, -24, -9, -22, -13, -8, -23, 25],\n [11, 7, 15, -2, -18, 9, -24, 7, -14, -4, -13],\n [-16, -9, 17, -21, -17, -13, -3, 4, 17, -22, -5],\n [17, -17, -19, -10, -3, -3, 5, -21, -20, 25, -25],\n [22, 2, -8, -2, -13, 7, -16, -19, 11, 6, 19],\n [-4, -10, -2, -12, -15, -7, -3, 8, 14, -13, 13],\n [18, 2, 14, -10, 24, 25, 2, -22, 2, -14, -10],\n [23, 10, -6, 0, 0, -4, -17, -21, -9, 23, 8],\n [-24, -19, 10, -13, -6, 4, 4, -15, 5, -23, -24],\n [22, -23, -11, -9, 22, -19, 22, -21, 8, 7, 19],\n [-10, 11, -23, 21, 22, 17, 25, 24, -5, 15, -18]]\nB =\n[[-4, 25, -21, -9, 11, -12, 13, 15, 2, 5, -9],\n [9, 14, -4, 19, 22, 3, -16, -8, 9, 18, -10],\n [24, 23, -19, 4, -7, -3, -18, -9, -5, 0, 2],\n [13, 7, 14, -7, 3, -6, -6, -16, -14, 7, -1],\n [-1, -22, -22, -17, -11, 0, -11, 0, 2, -19, 6],\n [-14, 9, 6, -17, -12, -13, 18, 7, 6, -7, 4],\n [-10, -14, -16, -24, -8, -13, 3, -2, 12, -14, 3],\n [-4, 10, -25, 17, 14, 8, 8, 22, 7, -22, 12],\n [4, 20, -6, 0, -11, -19, -19, 24, 3, -3, 8],\n [-6, -11, 7, -9, -6, -13, 18, -2, 21, 11, -19],\n [-18, -3, -12, -22, -5, 20, -16, -4, 4, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-923", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-15, -4, 3, -1, -12, -12, -24, -13, -23, 4],\n [-8, 10, -5, -7, -10, 2, -22, 25, -11, -25],\n [22, 21, -10, -6, 7, -9, -21, -21, 13, -13],\n [18, 10, 4, -22, -3, -5, -5, -20, -2, 21],\n [5, -7, 12, -14, -12, 24, -14, -11, -7, 2],\n [14, 15, -21, -21, -20, -3, -23, 11, 7, 17],\n [-5, -6, -25, 13, 21, -9, 3, -18, 0, 2],\n [8, 0, -13, 18, 11, -13, 12, -1, 21, -3],\n [-4, -5, 4, -15, -22, 7, 21, -14, -17, 6],\n [-15, 11, -2, -19, -18, 7, -1, -25, -23, 14]]\nB =\n[[2, 17, 7, 20, -25, 12, 1, 12, 9, -16],\n [-14, -16, 8, -2, 2, -4, 19, -10, -13, 10],\n [10, 17, -3, -12, 6, -23, 1, -7, -4, -25],\n [-21, 23, 7, 25, -7, 10, 25, -20, -11, 10],\n [7, -2, 1, 23, -15, 23, -3, 7, 15, 20],\n [21, 3, 5, -25, 8, -8, -8, -20, 14, -25],\n [21, 16, 4, -22, 6, -16, 17, -21, -17, -21],\n [-15, 9, 1, -22, -16, 13, 7, 12, -18, 23],\n [-2, 13, 7, 15, 17, -7, -24, -15, 9, -9],\n [16, -23, -4, 9, -5, -1, 13, -24, -25, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57588", "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, 17, -20, 10, 25, -5, 25, 20, 9, 10, -18],\n [24, -22, 17, -10, -23, -19, -24, -25, -25, 12, 25],\n [-19, -2, -21, -5, 2, -8, -2, 6, 19, 7, -16],\n [-17, 23, 7, 7, -19, -22, 2, -3, 6, 18, -10],\n [20, -16, -12, 13, 10, 8, -2, -8, -10, 15, 11],\n [15, -1, -18, -2, -6, 22, 4, -6, -8, -22, 22],\n [10, -20, -23, -8, 21, 14, -8, -3, 9, -20, 0],\n [-5, -2, -11, 1, 6, -14, -21, -19, -4, 1, -11],\n [13, 19, 9, 0, -3, -13, 0, -23, 3, -24, 2],\n [-3, 10, 23, -20, -15, 12, 8, -9, -23, 18, 20]]\nB =\n[[8, -4, 3, 3, -21, -16, -16, -17, -5, -13, -16],\n [12, -15, -22, 20, 5, 23, 8, 16, 9, 13, 13],\n [7, -18, 6, 7, -18, 20, -12, 8, -18, 25, 16],\n [-19, -13, -5, 21, 6, -15, -12, -15, -24, 8, 18],\n [21, -9, -12, -1, 22, 1, -18, -9, -21, -14, 12],\n [-8, 0, 5, 11, -20, 15, -11, 16, 23, 0, 25],\n [-14, 15, 21, -12, -25, -9, 7, 3, 19, 5, -18],\n [4, -13, -10, -24, 19, -8, 9, 19, -7, -13, 25],\n [-22, -7, 24, -1, 12, 25, 5, 10, -22, 13, -19],\n [-10, 22, -21, 21, -3, 10, 6, -2, -1, 19, 2],\n [-7, -19, 18, 15, -9, -24, -10, 13, -8, 13, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62647", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-23, -5, 4, -15, -4, 21, -1, -23, 4, -2, 19],\n [10, -3, -18, -22, 24, 13, 17, 5, 3, 10, -13],\n [15, -17, -5, 25, -23, -1, -1, -14, 3, -15, -15],\n [23, 0, -12, -10, -16, 5, 5, 10, -16, 0, -6],\n [18, -17, -11, -17, -19, 0, -2, -14, -6, -12, -4],\n [-10, 3, 6, -7, 9, 17, 6, -6, 25, 14, -6],\n [-18, 9, 16, -13, 15, -20, 21, -10, -21, 19, 25],\n [8, -20, 7, -11, -11, -12, 13, -21, 0, 22, -9],\n [17, 21, -10, 9, 12, -3, -13, 7, 3, 20, 8],\n [8, 1, -11, 24, -17, 0, -23, 10, 21, -21, -6]]\nB =\n[[-6, -21, -16, -10, -1, 18, -1, 4, -12, -4],\n [17, 2, 4, -7, 12, 16, -6, 9, -4, -11],\n [-15, 8, -2, -20, -9, 2, 24, 5, 10, -17],\n [-16, -5, 8, 5, 3, 17, 17, -15, 7, 20],\n [-25, -5, -3, -17, -25, -5, -4, -22, -25, 25],\n [-16, -11, 10, 3, 20, -21, 3, 21, 21, 1],\n [-1, -10, -10, 10, -1, 15, -25, -21, 15, -6],\n [-21, 10, 3, 22, 8, 22, -8, -24, -10, 3],\n [7, -10, 9, 21, 17, 16, -9, -22, 23, -22],\n [25, -1, 7, -12, -2, -15, -1, 2, -19, 23],\n [10, -16, 23, 10, 5, -7, -8, 23, -20, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49670", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 9) when matrix A is multiplied by matrix B?\nA =\n[[-19, 12, -14, 15, 24, 8, -1, -9, 7, -3, -17],\n [-20, -24, 12, -17, -23, -10, -1, -2, 21, 3, 18],\n [14, 0, 12, 9, -3, -22, 16, -12, 21, 13, -19],\n [-18, 16, 25, -7, -24, 21, -25, 16, 12, -13, 16],\n [18, -2, 6, 4, -20, 12, 7, 18, -3, -16, 20],\n [-11, -3, 10, -25, -18, -23, -12, -9, 8, 21, -20],\n [-21, 20, 25, 15, 14, 3, 9, -8, 14, 22, 4],\n [-11, -11, -10, 7, -16, -7, 11, 24, -23, 10, -22],\n [-15, 15, 7, 2, 6, -10, -17, -15, -20, 23, 1],\n [-14, -4, 14, 22, 11, -5, 7, -9, 3, 14, -16],\n [-8, 21, -13, 1, -16, 6, 15, 19, -23, -4, 1]]\nB =\n[[-23, 7, -24, -15, 20, -16, 13, 7, -19, -11, 0],\n [-15, 12, 1, 13, -19, -25, -16, -5, -11, 4, 4],\n [-18, -2, -7, -23, -11, 10, -20, 16, 24, 22, -8],\n [12, -7, 23, 24, 4, -13, 13, -14, 8, -14, 18],\n [-2, -22, 10, 24, 22, -12, -9, 23, -23, 12, -3],\n [-13, -17, -5, 15, -18, -9, -10, -10, 2, 25, -10],\n [20, 20, -12, 20, 18, 12, -6, 19, 22, 15, 8],\n [3, -23, -16, -6, -24, 1, 6, -16, 14, -9, 7],\n [-20, 13, 21, -8, -17, -18, -1, 5, 16, -22, -6],\n [2, 14, -25, 14, 18, -3, 21, -13, -10, 0, 5],\n [24, -25, -9, -10, 11, -16, 12, 18, 5, -16, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "693", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[8, 25, -20, 2, 2, -13, 15, -14, 24, 14, 24],\n [-24, -18, 16, -17, 24, -18, 25, -23, -17, -13, -17],\n [5, -1, 18, 19, -18, 21, 5, 19, 19, 5, -9],\n [21, -7, -23, 20, 4, -16, 23, 3, 14, -8, -14],\n [23, -3, -15, -17, -2, -1, -1, 21, -17, -14, -15],\n [23, 12, 2, -18, -16, -1, 21, 10, 24, 17, -17],\n [15, -18, -23, -8, 20, 9, -9, 10, 2, 24, -11],\n [-7, -4, -20, 21, -19, 18, 22, -17, -6, 11, -15],\n [-24, -4, 22, 10, -21, -19, -20, -4, -16, 20, 14],\n [20, 20, -6, 2, -3, 9, -25, 3, -17, -17, -4],\n [-24, -10, 14, -20, -13, 7, -7, -11, 7, -16, -25]]\nB =\n[[-14, 17, 3, -9, -22, 3, -19, 18, -13, -21, -20],\n [8, -19, 20, 2, 20, -16, -22, -23, -1, -3, 1],\n [-12, 12, 6, -3, 21, 14, 11, -23, 9, -13, 8],\n [-2, -25, -14, -18, -7, -17, 2, -12, 1, -8, 16],\n [15, -20, 7, 11, 16, -1, -13, -3, 10, 7, -5],\n [8, 10, -9, -16, -3, 18, -24, 9, -12, 21, 19],\n [15, -24, -7, -10, 17, 18, -1, -25, -24, 22, 1],\n [-24, 4, 25, -16, -7, 16, -10, -13, 22, 24, -18],\n [24, 5, 19, -1, 13, -5, 24, 12, 15, 3, -20],\n [-8, 23, 18, 9, 1, -21, -19, -16, -16, 25, 2],\n [10, -16, 24, 9, 9, 11, 22, -6, -13, -15, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-438", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 2, 12, 19, -22, 11, -7, 11, -12, 5, 2],\n [10, 18, 12, -7, 16, -25, -3, 2, 22, -22, 15],\n [-8, 23, 21, 25, 13, -1, -8, -20, -7, -14, -1],\n [9, -25, -21, -25, -18, 13, 21, 17, -8, 20, -17],\n [-21, -22, 18, 3, -25, 4, 19, -25, -23, -4, -18],\n [-8, -1, 22, -6, 5, 4, -10, -24, -9, -16, -19],\n [16, 25, -17, -9, -17, -17, 11, -2, 13, -15, -18],\n [-1, 20, -24, -16, -2, 22, -10, -7, 5, -15, -20],\n [-20, 6, 13, 22, -13, -23, 15, 9, 12, -9, -23],\n [8, -14, -2, -20, 16, -15, 22, 1, 22, -2, -8]]\nB =\n[[1, 15, -5, 25, 8, 7, 22, -8, -23, -2],\n [-25, -20, -7, -4, 25, 17, -18, -21, -17, 21],\n [-5, 2, 20, -22, -2, -18, -9, 8, -6, -10],\n [-16, 8, 17, -16, 4, 4, 25, -1, 20, 17],\n [15, -19, 21, -6, -9, -23, 21, 20, 14, 10],\n [0, -16, 8, -12, -18, 1, -16, 24, -11, 11],\n [-4, 19, 24, 5, -24, 19, 5, -12, -16, 4],\n [10, 21, 14, -11, -12, 5, 3, 1, -5, -17],\n [-6, 9, -11, -2, 23, -10, 10, -15, -18, -23],\n [-7, 20, 15, -23, 10, -1, 10, -15, 25, -10],\n [-9, 16, -2, -9, 22, -6, -4, -20, -19, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2052", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-15, -14, 20, -21, -21, -6, -11, 0, 7, 4, -2],\n [-3, -17, -23, 10, 22, -19, -4, -12, 22, 3, 24],\n [-10, 22, 8, -16, -19, -1, 1, -11, 6, 2, -17],\n [-19, -10, 0, 9, -9, -3, -18, -24, 5, 6, 3],\n [-23, -18, -24, 5, 25, 23, 11, -6, 3, -9, -16],\n [15, -4, -20, 17, 8, 5, -14, -14, -10, -1, -4],\n [1, -2, -14, -8, 19, 21, -10, -22, -14, 23, 7],\n [-4, -8, 22, 7, 1, 16, -7, 22, -12, -1, 8],\n [-2, 12, -3, -21, 18, 10, -2, 10, -21, 13, -20],\n [19, 10, 19, -22, -16, -25, -5, 14, 13, 11, -23]]\nB =\n[[21, 5, 1, -9, -3, -13, 21, 1, 25, -6, 20],\n [-13, 18, -2, 15, -23, 17, -16, -25, 23, -13, -12],\n [7, -24, -24, 13, 15, 5, -22, 8, -7, 11, -17],\n [-2, -13, 18, 4, -7, 15, -16, 25, 16, 18, -12],\n [14, 22, 23, -6, -22, 12, 18, 24, 13, -21, 16],\n [6, -20, -12, -20, -12, -14, 1, 0, -14, -18, -16],\n [-10, 0, -18, 15, 19, 3, -6, -9, -7, -9, 13],\n [-25, 3, -12, -9, -13, 3, 8, 1, 20, 7, 3],\n [11, 13, -7, 20, -2, -12, 21, 11, -21, -2, 8],\n [24, 5, 4, -17, 1, 2, 16, 0, -8, 10, -18],\n [-8, -6, 6, 3, 23, 22, -8, -19, -25, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 9) of the product of the following matrices:\nA =\n[[24, -22, -6, 10, 5, 12, 2, -23, -20, 19, -3],\n [-19, 10, -25, -20, -2, 11, 19, 25, 10, -2, 12],\n [19, 3, 11, 19, 6, -1, -16, 9, -1, 1, 19],\n [6, -14, -22, 16, 0, -23, -9, -17, 3, -25, -8],\n [15, -6, 15, 8, 25, 2, 22, 9, -10, -5, -13],\n [9, 16, 6, 24, 12, -20, 24, 12, 12, -13, 20],\n [13, -13, 21, -14, 7, 2, -23, -8, 0, 14, -24],\n [-22, 24, 2, 2, -1, 0, 19, 21, -24, 16, 8],\n [4, -5, 18, 11, 18, -3, 7, -24, 1, 22, -4],\n [8, -10, -6, 0, -10, -20, 19, 18, -3, 16, 11]]\nB =\n[[-18, -20, 11, -4, -20, 6, -9, 12, -9, 11],\n [-3, 23, 23, -13, 6, -4, -19, -4, -5, -20],\n [-12, -10, -23, -17, 21, -5, 24, 4, 4, 16],\n [16, 6, -3, -23, -25, -23, 11, -19, -23, 10],\n [23, -23, -22, 5, -24, -12, 11, 5, -24, 5],\n [21, 17, -4, -16, 4, 7, -7, 20, -1, 20],\n [-25, 6, -1, 15, -9, -12, 19, -13, 12, 13],\n [-24, 6, 6, 14, -20, -1, -23, -8, 24, 12],\n [17, -23, 22, -21, -2, 8, 21, 22, 13, 22],\n [-2, 10, 2, 22, 23, 8, -10, 10, -19, -8],\n [-20, 24, 2, 13, 8, 25, 15, 3, -22, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1575", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 8) of the result:\nA =\n[[-21, -1, 13, -18, -11, -7, -15, -6, 10, -8],\n [-12, 12, -1, -10, -8, -25, 14, -25, -25, 25],\n [-5, -1, 1, -16, 24, -14, 2, 23, 6, 7],\n [-18, 16, 0, 16, 24, 15, -24, 9, 8, -20],\n [5, -3, -14, 25, 2, -11, -7, -14, 24, 22],\n [-24, -15, 18, 11, 12, -1, 17, -5, 16, 10],\n [-17, -14, -16, 20, -21, 7, -21, -10, 11, 11],\n [3, -8, 3, -20, -8, 6, 16, 21, 5, -15],\n [0, 2, 1, -7, 19, 1, -6, -23, -10, 13],\n [18, 3, -11, 4, 14, 23, -25, 3, 4, 14],\n [20, 6, -16, 1, 25, -18, 25, 10, 16, 9]]\nB =\n[[10, 22, 10, -1, -6, 19, -9, -3, -1, 22],\n [23, 5, -20, 9, -22, 14, -6, 15, -25, 19],\n [0, 8, -16, -3, 25, 23, -2, -13, 3, 20],\n [1, 5, 17, -16, 5, 13, -16, -2, 7, -12],\n [9, 19, 8, -9, -5, 6, -23, -11, -18, 6],\n [12, 0, 4, -17, 6, -15, -4, 8, 15, -8],\n [-7, -8, 11, -8, -14, -22, 21, 17, 1, 25],\n [-21, -20, -13, -3, 16, -1, 20, -22, 6, 18],\n [-11, 0, 16, -15, -17, -15, -24, 19, 1, 0],\n [-18, -5, -5, -18, -25, 12, -13, -17, 2, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-834", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[21, -3, 22, 10, -9, -17, -14, -4, 25, -14, -20],\n [18, -17, 11, -23, 8, -18, -16, 21, 15, 16, 17],\n [-17, -12, 11, 1, 15, 6, -22, -24, 25, 7, -5],\n [-25, 18, -15, -25, 20, -15, -19, -24, -11, -18, 21],\n [0, 14, 16, 25, 9, 20, 15, 15, -5, 12, -18],\n [17, 6, -18, 18, -16, -3, -22, 22, 12, 4, 15],\n [-3, -21, -5, -20, 23, -9, -1, -2, -4, -13, -9],\n [-12, 8, 0, -7, 0, -23, -24, 2, -24, -4, -19],\n [-22, 23, 12, 13, -6, -20, -17, 5, 0, 10, 0],\n [2, -21, 25, -16, -8, -11, 7, -21, 11, 14, -4]]\nB =\n[[-4, -4, -11, -9, 25, 19, 2, -4, -5, 16, -9],\n [-21, -8, -9, -22, -19, -1, 11, 14, 14, 17, -17],\n [-7, 25, -17, -3, 5, 6, 5, -9, 22, 13, -4],\n [9, 4, 25, 14, 11, 0, -20, 8, 6, -1, 25],\n [-13, 12, 12, -24, -21, -15, -15, -2, -12, 19, 4],\n [14, 21, 18, 9, -5, -21, 12, -24, 14, 11, 23],\n [8, -15, 10, -15, -17, -20, 8, 21, 11, 6, -14],\n [19, 6, -9, -22, 16, 7, 17, 22, 17, -17, 8],\n [13, 25, 4, 24, -6, 13, -3, 15, 18, 9, -3],\n [22, 13, -3, 11, -3, 13, 2, -7, 23, 22, 4],\n [-5, -2, -5, 0, 25, 24, 25, 10, 0, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66680", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 2) of the result:\nA =\n[[-22, -17, -18, -24, 3, -3, -20, 17, 10, 20],\n [-5, -4, -17, 8, 0, -25, 10, 18, -21, 15],\n [-4, -22, 22, -24, -10, -10, -4, 17, -25, -11],\n [-2, -22, -8, -9, -19, 24, 19, -16, -25, -24],\n [23, -4, 6, 3, 9, -9, -14, -2, 4, 18],\n [4, -6, 16, -19, 16, 24, 12, -19, 23, 4],\n [-14, 23, 5, -8, 20, 17, -24, 7, -15, 8],\n [-10, 9, 7, -5, -6, -18, 25, 0, 7, 0],\n [11, 4, 5, 7, -15, 15, -21, -24, -13, -8],\n [0, -1, 18, -12, -21, 16, -24, -22, -14, -15],\n [-22, 17, -17, -16, 1, -20, -11, 16, 5, -4]]\nB =\n[[-20, 7, 3, -5, 4, -5, 10, -4, 20, -6],\n [-4, 14, -15, 21, 5, 25, 14, -13, -8, -4],\n [-9, 12, -1, 6, -11, -13, 0, 24, -15, -13],\n [7, 24, 11, 12, -25, 13, 1, 10, 6, 15],\n [-11, 5, -20, -1, 23, -8, -4, 5, 10, -17],\n [20, -23, 7, 1, 17, -25, 18, -17, -21, -11],\n [24, -17, 19, 2, -13, -2, 19, -16, 16, -4],\n [13, -4, 11, 13, -6, -16, -16, 0, -1, 2],\n [-13, -11, -20, -14, -7, 6, -15, 12, 7, -24],\n [-11, 10, -21, -11, 17, -16, -9, 8, -2, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -23, 25, 11, -23, 14, -21, 2, 18, -12, 13],\n [-15, -18, 11, -18, -14, -11, -7, 22, 20, 2, -19],\n [14, -19, 4, -8, -2, -20, 25, -22, -23, 23, 25],\n [21, -20, 0, 18, 25, 12, -15, 3, -6, -16, 0],\n [22, 1, 24, -12, 10, -14, -3, -5, -18, 13, -17],\n [-2, 5, -1, -9, 16, 3, -23, -5, -18, -12, 13],\n [-10, -8, 5, -15, 12, -6, 20, 19, -22, -6, 5],\n [-6, -15, 24, -25, 18, -8, 13, 18, 7, 10, -8],\n [21, 5, 9, 13, 12, -11, 21, -20, -18, 14, -4],\n [-25, -13, -2, -5, 19, 17, -22, -19, -14, -13, 18],\n [-10, -20, -12, 25, 22, 5, 10, 11, 15, 9, -16]]\nB =\n[[-9, 25, 16, 4, 18, -19, -8, -7, -11, 13],\n [18, -4, 13, 16, 4, -6, 6, 16, -1, -3],\n [-21, 24, 15, 4, 22, 13, 1, 16, 11, -19],\n [-21, -11, 25, 16, -18, -17, -15, -4, 8, 9],\n [-13, -15, 6, 16, -11, 12, -25, 20, 24, -2],\n [17, 14, -4, -23, -12, -24, 6, 22, 12, 7],\n [20, 16, -20, 15, 13, -1, 8, -15, 20, 11],\n [15, -19, 20, 22, -4, 22, 13, -16, -5, -20],\n [23, -25, 8, -12, 10, 1, -17, -20, 5, -9],\n [17, 10, -5, 1, 15, 2, -10, 9, 10, 9],\n [19, -7, -5, 7, -3, -20, 6, -4, -23, 9]]\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 trace (sum of diagonal elements) of the result:\nA =\n[[-10, 16, -1, -9, 13, -13, 2, -15, -16, 13, -2],\n [12, -2, 7, -9, 18, 10, 9, -20, -10, 19, 2],\n [15, 6, 0, -15, -1, 5, -5, 19, 25, -23, -14],\n [25, 14, 20, 15, -1, -9, 12, 10, 10, -7, 18],\n [-24, -9, 4, 21, -16, 9, 10, 7, -25, -8, -22],\n [21, 1, -1, 2, -4, 16, -1, -9, 18, -14, -10],\n [11, -10, -9, 5, -11, -13, 14, 1, -5, -24, -18],\n [16, -19, -16, -22, 17, 15, 10, 9, 17, -23, -8],\n [25, 20, 17, -2, 6, 8, -24, -24, -16, -3, -11],\n [-14, 17, -9, -8, -12, -9, -11, -14, -10, 6, -3]]\nB =\n[[12, 8, 8, -10, 8, 14, -19, 7, -22, 17],\n [-19, -8, -22, 23, -15, 17, -6, -15, -11, 20],\n [-9, 8, 24, 22, -14, 16, 2, 22, 9, -18],\n [1, -4, -2, -24, 5, -4, -25, -12, -1, 10],\n [10, 15, -23, -21, -25, -7, 7, 16, 4, -14],\n [-16, 8, -10, 14, 20, 3, -11, 22, -15, 18],\n [8, 10, 4, 9, -17, -8, -7, 13, -22, -20],\n [25, 7, 6, -10, -15, -4, 10, 24, -3, 0],\n [5, 3, -21, 12, -1, 8, -14, -4, -17, -6],\n [3, 18, 3, 19, 1, -9, -21, 19, -13, 16],\n [-11, -11, -8, 24, -24, -3, 17, -13, 17, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3411", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[21, -1, -15, 24, 22, 16, -14, -13, -17, 19],\n [12, -20, 17, 25, 17, -16, -3, -11, 19, -3],\n [14, 11, 8, -10, 19, 25, 15, 21, 6, 12],\n [14, 20, -21, -9, -4, 13, 15, 22, -8, 2],\n [-13, 24, 16, -25, 24, -7, 8, -22, 17, -23],\n [15, -16, 2, 8, 13, 21, -7, 16, 20, 10],\n [17, -23, -3, -9, -19, 0, 17, -8, 20, 20],\n [-20, 5, 3, -17, 9, -9, -14, 10, 22, -2],\n [-16, 4, 3, 13, -16, 13, 2, -8, 15, 24],\n [-9, -15, -25, -9, 10, 10, 20, -17, 19, 2],\n [22, 7, -23, 25, -18, 24, -20, -20, 3, 11]]\nB =\n[[-14, -17, 15, 23, -7, -9, 22, 18, 6, 9, -12],\n [23, -10, -5, -14, -2, 8, -18, 18, -5, 22, -18],\n [2, -10, -16, -11, -22, 0, -11, 10, 6, 17, 12],\n [-22, 15, -17, 9, 2, 11, 21, -17, -24, -23, 18],\n [22, -21, -16, 2, -11, -12, 20, -3, -13, -10, 4],\n [14, -18, -9, 4, -9, 9, -25, 23, -2, 22, 23],\n [-1, -24, -1, -12, 13, 25, 7, -9, 5, -16, -20],\n [13, -1, 12, 11, 4, 8, -8, -2, 23, 1, 1],\n [13, -5, -7, 13, -3, 13, 22, 18, 21, -11, 17],\n [-24, 9, 25, -6, 2, -11, -10, 7, 21, -14, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71487", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[13, 17, -6, 3, 17, 23, -23, 22, -21, -24, -3],\n [0, 0, -19, -16, -21, 21, -14, 6, 16, 5, -4],\n [-9, -6, -6, 17, -18, 21, 8, 23, -3, 12, 2],\n [-13, 3, -18, -15, 21, 19, -8, 24, -1, 23, -4],\n [19, 9, 3, -5, -19, -14, 10, -2, 6, 1, 6],\n [6, 6, 0, -15, 20, -8, 13, -21, -10, -15, 9],\n [22, -15, 16, -3, 8, 22, -9, -16, -8, 18, -18],\n [0, -23, -2, -23, 12, -24, 9, -9, -17, 10, -4],\n [5, 8, -2, -17, 20, 17, -24, -5, 8, 1, 11],\n [-19, -4, -22, -12, 8, -3, 18, 16, -1, -25, 25],\n [22, -11, 6, -12, 15, -5, 21, -19, 10, -5, 24]]\nB =\n[[14, -14, -11, -11, -9, 8, 18, 9, 13, 12, -12],\n [-21, 4, -22, -11, 13, 9, 19, -16, -24, 18, -2],\n [2, -4, 18, 6, 5, -7, 25, -5, -23, -20, 6],\n [-24, -2, 19, 1, -17, -13, -12, 25, -15, -12, -10],\n [-16, -6, -10, 8, -10, -12, 2, -8, 0, 12, -19],\n [19, 8, 21, 23, 19, -19, 7, 9, 24, 13, -5],\n [23, 2, 6, 18, -10, -16, -3, 22, 24, -11, 17],\n [24, -20, 7, 13, -14, 10, 5, -16, 8, 15, -16],\n [-15, -12, -23, 7, -19, -22, 13, 22, -16, -11, -10],\n [12, -22, -22, 10, 1, -4, -4, -9, 19, 8, 6],\n [-20, 7, -18, 24, 10, -21, -21, 21, -16, 14, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11995", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, 4, -1, 2, 17, -13, 21, 23, -4, -8],\n [1, -18, -20, -15, 3, 15, -21, -19, -4, 21],\n [-22, 6, -7, 19, 7, -25, 20, 15, 18, 24],\n [15, -18, 6, 4, 20, 2, 15, 6, -1, 8],\n [7, -13, -1, 16, 14, 13, 18, 23, 18, 22],\n [-16, 5, 18, -15, -1, 20, 19, 8, -6, -19],\n [7, 9, 3, -14, -21, -14, 3, 9, -6, 11],\n [-25, -10, 4, -17, 16, -16, -13, 22, -6, 3],\n [-22, 20, 23, 2, 11, -13, -23, 11, 22, -7],\n [2, -7, -9, -8, -8, -3, 14, 24, -17, 3]]\nB =\n[[25, 16, 3, -24, -9, 19, 5, 2, 17, 22, 13],\n [4, 9, 22, 25, -6, -10, 8, -12, 0, -6, 16],\n [25, -2, 17, -8, 17, -17, -7, -6, 16, 4, 0],\n [5, 9, -23, 14, 3, -20, -25, -2, 12, 8, 25],\n [-19, -15, -15, 10, -6, -10, -21, -2, 4, 4, 13],\n [22, 21, 11, 7, -6, -4, 15, -5, 11, 1, 12],\n [9, 12, 14, -20, 6, -10, 2, -10, 1, -23, 23],\n [-5, 12, 12, 4, -4, -7, 5, -6, 21, -7, -24],\n [14, 13, 1, -18, 19, 1, -11, -14, 21, -12, -19],\n [-9, 0, 11, -6, -16, -7, -8, 4, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-16, -24, 12, 6, 9, 25, 11, -19, -19, 1],\n [-16, 7, 17, -19, -20, -20, -13, 22, -13, -24],\n [-7, 25, -7, 24, 12, -24, 25, 0, -20, -6],\n [-3, -11, -20, 2, 9, -15, -18, 24, 23, 25],\n [25, -2, -5, 23, 10, -19, -21, 3, -10, -20],\n [-12, -24, -1, 5, 24, 24, -13, -8, -9, 19],\n [2, -14, 9, -4, 13, -25, 11, -5, -25, -22],\n [6, -25, -13, 20, 21, -9, -14, -19, 25, -23],\n [24, 0, 5, 10, 0, -23, 18, 2, 18, -9],\n [12, 21, 4, -24, -18, -12, 11, 9, 16, 13]]\nB =\n[[-15, -11, -24, 11, 17, 6, 14, -13, 17, -9],\n [-11, 7, 25, -10, 25, -13, -4, -3, 10, 17],\n [24, 24, -16, -9, 4, -13, 4, 20, 4, -19],\n [-16, 9, -24, 4, -7, 13, 11, -23, -1, 8],\n [-4, 12, -12, 13, -24, 6, 17, -23, 15, -18],\n [0, 6, -15, 24, -25, -11, -22, -22, 2, -16],\n [-15, 24, -3, 21, -23, 13, 13, -9, -4, 1],\n [-10, -10, 14, -23, 21, 7, 16, -24, 13, 20],\n [22, 1, -11, -19, 19, 16, -17, 15, -20, -14],\n [4, -6, -6, 20, 1, -6, -19, 14, 14, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2069", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-18, -24, -12, -16, 24, -8, -8, -10, -21, 5, 11],\n [-6, -3, 6, 16, -9, -13, 23, 24, -13, -9, -11],\n [0, 18, 2, 16, 19, 4, 17, 9, -4, -16, -15],\n [12, 7, -20, 11, -19, 18, -14, -19, -24, -25, -3],\n [-1, -8, 18, -19, 25, -23, 3, -16, 17, -21, 8],\n [-18, -12, 14, -20, -25, 7, 14, -15, 24, -2, -16],\n [18, -3, -10, 11, -10, 18, 5, -20, 4, 11, -25],\n [25, 16, -1, 20, -5, 9, 12, -21, 23, 24, -14],\n [-21, -17, 18, -17, 9, -25, 21, -16, 20, 13, 10],\n [11, 22, 9, -9, -13, -20, 11, 22, 6, -15, -9],\n [-21, -20, -16, 7, 4, -5, 16, -9, 1, -23, 3]]\nB =\n[[-24, 3, 23, 10, 8, 11, 16, -25, 0, -25, -22],\n [13, -12, 20, -8, 8, -25, -4, -10, -4, 24, -10],\n [2, 2, -4, -20, -1, 16, -24, -19, -9, 9, -6],\n [18, -24, -19, 6, 23, -7, -14, -17, 1, -12, -24],\n [-5, -22, 25, -5, 22, -4, 23, -24, -9, -7, 14],\n [-2, -6, 12, -14, -1, -3, 24, 8, 6, 25, -2],\n [16, -1, -23, -1, 2, -14, 0, 22, 18, -18, -21],\n [-15, 16, 9, 1, 15, 18, 12, -7, 22, 6, 20],\n [2, 10, -8, -16, 6, -8, -14, 25, -18, 7, 20],\n [12, -12, -24, -17, 18, -21, 8, -7, -19, 13, 16],\n [-9, 0, 20, 1, 17, 2, -6, -20, -18, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -7, -2, -2, -9, -8, -14, 15, -3, 22, -8],\n [-10, -10, 10, -3, -4, 13, 7, -2, -6, 7, 5],\n [14, -18, -16, -25, -5, -1, 6, 20, 20, -16, 25],\n [22, -17, -6, 22, -6, 14, -19, -15, -5, 12, 21],\n [-7, 20, -11, -20, -16, 20, -10, 19, -15, 9, -18],\n [2, -23, -24, -12, 3, 21, -23, -25, -11, -6, -4],\n [8, 24, 7, -17, -23, -24, -22, -10, 7, -17, 14],\n [12, -8, -10, -18, -3, 10, -23, -11, 12, 7, -8],\n [-3, 17, -23, 4, 19, -9, 24, 6, 20, -19, 13],\n [-12, -11, 18, -14, -18, -10, 15, 8, 20, -2, 3],\n [-10, -21, -21, 4, 24, 24, -21, 17, -13, 9, 23]]\nB =\n[[-1, 24, -12, 18, 20, 0, -8, -6, 8, -19],\n [21, -16, -11, -9, -15, 8, 1, -5, 5, 24],\n [-22, 15, 23, -9, 23, 22, -6, -1, 14, -3],\n [-11, 7, -7, -11, 15, -21, -10, 19, 22, 6],\n [-4, 17, 6, -13, 12, 0, -9, -21, 23, 7],\n [1, -21, 11, -19, 22, -8, 5, -20, -24, -13],\n [16, -15, 0, -5, -24, 14, 25, -6, -9, -10],\n [16, -21, -12, -2, 25, -22, 22, -2, 21, -17],\n [-23, -17, -8, 10, -7, -2, -22, -17, 7, -25],\n [25, 9, -16, -14, -8, -12, -16, -16, -8, -2],\n [-25, 4, -11, -18, 9, -8, 15, -10, -5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14431", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-21, 19, -19, 22, -19, 1, -1, -4, 22, -13, -9],\n [15, 18, -13, 0, -17, -21, 13, 7, -22, 2, 0],\n [-22, -10, 11, -4, 10, 12, 9, -1, -18, -9, -8],\n [24, -14, 7, -3, -14, -15, -13, 9, 1, -1, 14],\n [-23, 23, -1, 19, -16, -9, -23, 19, -4, 12, -12],\n [1, 16, -6, 22, -8, -13, 16, -20, -16, 11, 3],\n [-20, 13, -15, 22, -1, 18, 18, 4, -6, 11, -10],\n [5, 3, -20, 3, 6, -17, 11, -3, -10, -8, -7],\n [18, -24, -16, -14, 20, -8, -7, 12, 11, 1, 22],\n [-12, 19, 8, -24, 18, 7, -7, 1, 22, 4, -19]]\nB =\n[[1, -5, -19, 22, -1, 12, -8, 7, 7, 6],\n [-1, -12, 12, 12, -22, 18, -8, -16, 9, 9],\n [14, -3, -1, -25, -8, -11, -1, 6, -6, -9],\n [-15, -13, -1, -6, -1, 16, 19, 23, 5, -25],\n [-10, 22, 2, -5, 4, -23, 8, -20, 17, 3],\n [-23, 7, -15, 19, -21, 24, 6, 21, -8, 21],\n [-6, 13, 23, 14, 2, -13, 0, -10, -1, -16],\n [3, 20, 12, -6, 0, 6, 13, 12, 23, -2],\n [5, 14, -14, 10, -16, -20, -19, 5, 1, -18],\n [-23, 14, 21, -5, -25, 19, 24, -11, -19, -11],\n [-1, -23, 4, -12, -22, 10, -23, -21, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-15, -18, 0, -24, 2, 22, -16, 24, 13, 11],\n [13, -5, 2, 12, 7, -15, 19, 18, -25, 21],\n [7, -23, 0, -11, 15, -12, -3, -18, 10, -6],\n [-20, 7, 2, 24, 12, 4, 20, 17, -9, -17],\n [2, -19, 20, 2, -9, 14, 22, 18, 18, -21],\n [-21, -12, -20, -19, -9, -17, 5, -4, 19, -17],\n [-10, 10, 8, 19, -13, -7, -14, 10, -16, -10],\n [2, -7, 14, -20, -22, 4, 13, 5, 20, 1],\n [19, -5, 11, -17, 9, 16, 21, -5, -9, -2],\n [5, -20, 9, 24, 11, -13, -1, 6, -25, 23],\n [9, -7, -14, 14, 14, 21, 17, -6, 7, 3]]\nB =\n[[-10, -12, -19, -20, -5, 10, -4, 14, -7, -1],\n [-23, 10, 19, 8, -15, 22, 16, 21, 1, 16],\n [-24, -20, 20, -24, 16, -9, 14, 22, -12, -16],\n [19, 7, 16, -14, 6, 23, -2, -12, -21, 25],\n [-21, 21, 6, 19, 23, 7, 20, -22, 4, 15],\n [-9, -23, -13, 18, 22, 10, -8, -3, 9, 23],\n [7, 25, 10, -9, 13, 8, -14, -21, 22, 14],\n [1, 14, -13, 0, -12, 6, -15, 12, -10, -4],\n [21, -10, -13, -14, -8, 3, -8, 20, -24, -24],\n [-23, 3, -18, -15, -14, 6, -22, -17, -2, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2006", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -9, 21, -4, -19, -16, 3, 10, -2, 20, -12],\n [-12, -1, 20, -4, 24, 21, -3, 6, 0, 25, 1],\n [19, -14, -7, -7, 8, 6, 3, -5, 9, 16, -21],\n [-14, -19, 15, -24, -1, -16, 12, 18, -20, 1, 9],\n [-16, -17, -6, 11, 9, 11, 14, -18, 20, 5, 23],\n [17, -10, 2, -20, 6, 2, -15, 16, -3, 4, -17],\n [2, -2, 2, -2, -11, 13, 24, 7, 21, 8, -4],\n [3, 8, 16, 21, -16, 25, 19, 4, -15, 8, -5],\n [-13, -1, -5, -25, -21, -4, -19, -13, 19, -3, -5],\n [-20, -6, -14, 14, -17, 24, 2, -15, 6, -15, -2],\n [-11, 15, 9, -9, -1, 23, 9, -7, 15, 5, -9]]\nB =\n[[24, -3, 21, -25, -16, -18, 16, 0, 8, -7, -12],\n [-18, 25, -25, 22, -1, -2, 21, -6, 4, -21, -23],\n [6, -9, 16, -21, -15, 12, -22, 13, -7, 13, 20],\n [23, -3, -9, -13, 1, -25, -24, -8, 10, 19, 7],\n [10, -24, -22, -10, -22, -17, 23, -5, -3, -24, -23],\n [-3, 0, 21, -19, 10, 18, 7, 23, 10, -22, -3],\n [-1, 15, 0, 2, 2, -5, -16, 1, 25, 25, -11],\n [-9, 13, 9, -21, -10, -3, 13, 22, -17, 7, 9],\n [14, 24, -2, -2, 24, -2, -7, 13, -1, 5, 12],\n [-1, 1, 6, -15, -21, 18, 7, -7, 17, 21, -10],\n [9, -15, -15, -16, 8, -21, -3, -1, 3, 14, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20737", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[21, 6, 8, -14, -2, 14, -5, 3, 25, -3, 7],\n [-18, 16, -13, -21, 15, -16, -12, -2, -15, 20, -23],\n [3, 22, 4, 23, 11, -19, -9, -6, -15, 18, -1],\n [-2, -24, 1, -7, 3, 11, -15, -7, 2, 13, -5],\n [0, -4, -20, -15, -12, 10, 14, 15, -24, 17, -6],\n [-4, 13, -22, 3, 20, -2, -25, -2, 4, -14, -7],\n [11, 14, 17, -22, -11, -6, 18, -6, -5, -16, 4],\n [-2, 22, 14, 14, 12, -23, 3, -18, 3, -16, -21],\n [-15, -22, 23, 9, 24, 14, -14, -5, -10, -12, -5],\n [22, 1, 10, -25, -25, -4, -11, -6, -23, -12, -17],\n [-7, 14, 8, -22, 7, 17, 11, -24, 1, 19, -9]]\nB =\n[[23, 24, 5, 15, -20, 5, -23, 14, -23, 7, -13],\n [-5, 11, -10, -5, 22, 18, -13, -22, 5, -17, 22],\n [7, 11, 11, -2, -1, 25, 15, 3, 14, 25, 24],\n [21, 10, -11, 19, -8, -6, -21, -8, 14, -25, -7],\n [-3, 0, 23, 3, 8, -7, 22, -8, -24, 1, -20],\n [13, -20, -20, 5, 15, 14, 4, -5, 15, 18, -8],\n [-3, 12, -3, 2, 10, -1, -19, -8, -6, -21, -8],\n [16, 14, 7, -11, 9, 21, 20, -25, -5, -18, -19],\n [15, 24, 18, 14, 14, 4, 12, 9, -24, 20, -18],\n [12, -22, 11, -5, -13, -17, 19, 3, 15, -2, -10],\n [-14, -24, -7, 4, -10, -2, -13, -21, -3, 12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 5) of the result:\nA =\n[[-9, 23, 23, -23, 0, -13, 18, 12, -4, -5],\n [3, 19, 20, 13, -21, -12, -8, -22, 7, 13],\n [-6, -13, 10, 19, -22, 9, -18, 14, 23, 21],\n [10, -20, -4, -20, 16, 10, -17, -10, 13, 20],\n [12, 7, -8, -14, 1, 21, -25, -11, 21, 1],\n [-10, -5, -25, 3, -23, -14, 2, 13, 11, 5],\n [5, 7, 7, 21, 14, -15, 20, 3, -1, -13],\n [25, 18, -7, 10, 2, -22, -23, 12, 11, 17],\n [-1, 15, 9, 3, 15, 3, -14, 9, -6, -9],\n [-14, 24, 10, -16, -8, 4, -18, 15, 25, -13]]\nB =\n[[5, -20, -19, -5, 12, 17, 23, 25, 2, 18, -5],\n [-5, -2, 1, 1, -13, 24, 3, 13, 2, 11, 3],\n [22, -4, 10, 4, 2, -3, 7, -22, -23, 6, -22],\n [-25, -14, -13, 8, 3, -17, 5, -19, -13, -24, 7],\n [24, -19, -8, 25, -18, -14, 17, 4, -17, 2, -22],\n [13, -9, -15, -24, -3, 24, -4, 0, -14, 6, -17],\n [17, -21, 0, -19, 3, 7, -2, -1, 5, 3, -21],\n [12, 19, -15, 6, -18, -6, 8, 21, 16, -18, -24],\n [-5, -11, -20, -21, -23, 17, 17, -10, 9, -17, 9],\n [-7, 17, 20, 8, 13, -16, -16, -6, -25, -20, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1444", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 1) of the product of the following matrices:\nA =\n[[-24, 12, 7, -23, 10, -13, 9, -11, 19, -4],\n [17, -22, -9, -21, -5, -2, 5, 14, 4, 16],\n [-19, 23, -19, 1, -2, -7, 15, 8, -4, 25],\n [1, -20, -16, 19, 5, -1, -24, -16, -16, 0],\n [-21, -4, -22, 8, -19, 24, -9, -15, 24, -18],\n [2, 18, 7, -1, -5, -14, 0, 3, 12, 9],\n [11, 20, 18, 19, 19, 3, 23, -2, -11, -20],\n [6, 18, 8, 10, -6, -14, 9, 23, 12, -9],\n [1, -9, -15, 13, -24, 25, -24, 3, 19, -2],\n [-2, -10, 5, 23, 17, -17, 1, 15, -12, 19]]\nB =\n[[-1, 17, 18, -4, 9, 7, 1, 14, 0, -7],\n [19, 13, 19, 0, -20, -23, -20, 2, -23, -13],\n [-13, -13, -25, 14, 11, 5, -9, -17, 19, -13],\n [11, -12, -15, -1, 5, -12, -19, -2, 23, 10],\n [16, 16, 21, 18, 15, -23, 21, 18, 0, 21],\n [0, -25, -11, -15, 11, -19, -14, 12, -23, 16],\n [0, 4, 6, 10, 19, 25, 11, -8, -25, -5],\n [2, 22, -10, 22, 2, -4, -7, 22, -25, 5],\n [16, 8, 20, 14, -20, 2, -23, 5, -10, -9],\n [18, 1, 25, -2, -6, 6, 9, -13, 22, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 22, -24, -22, 1, -1, -22, 6, -9, -25, 7],\n [4, -21, -14, 12, 6, 12, -9, 19, 14, 6, -2],\n [-14, 21, 5, -7, 3, -5, 0, 2, -9, -17, -5],\n [24, 8, -15, -6, 23, 24, 21, 13, -10, 3, -25],\n [-8, -4, -18, -19, -1, 4, 8, 18, 22, 15, -15],\n [-11, 9, -3, 19, -5, 2, -13, 8, 12, -20, 18],\n [-22, -21, 14, -20, -5, 2, -23, -3, -18, -7, -15],\n [24, -16, 2, -6, 18, 2, 3, -18, -7, 22, -5],\n [-8, -17, -22, 15, -1, 8, -17, -17, -8, -15, -13],\n [12, -17, -10, -22, 8, -19, -11, 12, -15, 6, 1],\n [4, -9, 10, -7, -19, 17, 19, -5, 2, -23, -12]]\nB =\n[[-24, 3, -8, 11, 19, 19, -2, 20, -14, 19, 6],\n [-8, -13, -22, -3, -16, -21, 24, 14, -12, 8, 2],\n [-18, -10, 5, -19, -23, 3, 10, 13, -22, -17, -9],\n [23, -6, -12, 20, 3, -13, 10, 19, -9, 21, 24],\n [17, -22, -6, -15, 16, -4, 19, -18, 2, 19, 15],\n [4, 7, 7, 21, 10, 1, -6, 7, -1, 18, 17],\n [-7, 21, -5, 16, 7, -23, -12, -11, 7, 16, -4],\n [-25, 5, 21, 9, -6, 6, -14, 25, -10, -18, -12],\n [-8, 4, 7, 8, 18, 23, 8, 23, -19, -20, -20],\n [-4, -18, 11, -11, 0, 13, -23, -16, -23, 4, 20],\n [-4, -23, -25, 7, -7, 10, 8, 5, 17, -2, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-384", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 6) when matrix A is multiplied by matrix B?\nA =\n[[-13, -10, -10, 25, -6, 15, 22, 1, 13, -13],\n [-22, 6, 19, 14, 8, 13, 17, -9, -2, 3],\n [20, 2, 19, 21, -4, 2, -1, 15, -23, -13],\n [5, -13, 15, -8, 11, 17, 8, -9, -5, 10],\n [24, 14, -7, -14, 2, -15, 22, 11, 2, 9],\n [18, -11, -10, 19, -19, 21, -23, 5, -14, -18],\n [-1, 18, 24, 9, -14, -5, 0, -24, -12, 20],\n [-22, -9, 21, 22, -21, -2, 23, -19, -3, 21],\n [-9, -14, -15, 25, -15, 8, 21, 11, 24, 3],\n [22, 10, 1, 16, -4, -24, 21, 10, 22, 4],\n [-19, -14, -23, -9, 15, 6, -18, -3, 12, 4]]\nB =\n[[-11, -16, 12, -11, 4, 20, 0, 25, 19, -12, -23],\n [10, 0, -12, 5, -12, 14, -16, -17, 20, 14, 17],\n [16, -8, 10, 10, -14, 24, 14, -23, -8, -19, 5],\n [-25, 5, -13, 3, -23, 3, 9, -11, -5, -7, 2],\n [-22, 19, -13, -11, 25, 22, 13, 6, -23, 4, -6],\n [-24, 24, -1, -15, -25, 22, 23, 22, -16, -9, 4],\n [9, 24, -7, 20, 8, 6, -14, 17, -9, -20, 25],\n [-13, 13, -4, -15, -19, 19, 19, -5, -25, 4, -7],\n [25, 21, 20, 3, 9, -6, 10, 13, -25, -3, 5],\n [25, 9, 21, 19, -4, 20, -19, 7, 19, 10, 18]]\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[[-19, 1, -24, -9, -25, 20, 4, -4, 2, 7],\n [0, 9, -15, -19, 2, -1, 15, 5, -23, 7],\n [25, 8, -5, 11, 23, -7, 11, -5, -12, -16],\n [-19, 3, 14, -18, 13, -13, 20, -7, -15, -24],\n [23, -20, 3, 15, 25, -21, 15, 4, 13, 10],\n [1, 24, -8, 23, 10, -10, -21, -17, 8, 8],\n [10, 5, -6, -9, -6, 2, -5, -7, -23, 4],\n [-21, 16, -20, -23, 23, 16, -2, 18, -25, 24],\n [25, 10, -11, 15, 12, 18, -8, -3, 21, 3],\n [25, 15, -4, -2, 19, 22, -13, 7, 24, -4]]\nB =\n[[9, -9, -4, -21, -1, -20, -9, 5, -9, 7, 13],\n [22, 11, 22, -22, 17, -12, -13, 1, -2, 1, -18],\n [21, 24, 13, -5, 25, 15, -15, 5, 1, 16, 20],\n [22, 1, -18, 7, -14, 9, 8, -10, 10, -24, -14],\n [1, -9, -6, -5, 4, 16, -6, -18, -8, -8, -8],\n [-24, -14, 6, 16, -18, 25, -16, -15, -12, 0, 21],\n [4, 16, -22, 13, -15, -2, -4, -23, 11, -24, -14],\n [-5, -21, -19, -22, 17, 15, 10, -4, 3, -17, 0],\n [-14, 22, -25, -18, 7, 25, -22, -12, 3, -12, -17],\n [-17, 0, 23, 21, 16, -9, 15, -22, 20, -23, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53747", "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, -5, -14, -25, -25, 19, 20, 22, -19, -16, -11],\n [14, -15, 20, 19, -3, -13, 1, 15, -9, 24, 25],\n [-13, -14, 3, -5, -6, -6, 5, -18, -2, -15, 13],\n [7, 16, -11, -22, -25, 6, -15, 4, 11, -7, 25],\n [10, 8, -19, 19, -6, -14, 6, -24, -4, 15, 22],\n [14, -2, 24, 5, -22, -2, 17, -9, 14, -7, 14],\n [12, 8, 21, 7, -20, 25, 10, -13, 21, -17, 9],\n [8, -10, -8, -8, 12, 24, 17, 6, -19, -3, -3],\n [20, -8, -19, 16, 14, -2, -12, 24, -21, 20, -4],\n [-4, -16, 0, -11, 12, 15, 16, 23, -25, -12, 10],\n [5, 2, 8, 9, 13, -3, 20, 18, -7, -8, -11]]\nB =\n[[-25, -1, 0, 9, -11, -22, -11, 16, 12, 19],\n [13, -25, -4, -15, 20, 12, 11, 25, 0, 25],\n [1, -13, -19, -18, 20, 25, 25, -3, 0, 18],\n [1, -17, 20, 12, 21, -13, -19, -15, -16, 7],\n [13, 24, -23, 15, 3, 11, 19, -10, -10, 18],\n [24, 17, 23, -19, -11, 12, -20, -8, -7, 25],\n [-24, -23, 20, -1, 10, 23, 2, 12, 2, 6],\n [25, 15, 10, 13, 10, 17, -3, -24, -16, -20],\n [-18, -11, 19, 3, 2, -4, 8, -6, 7, -11],\n [-19, -2, 0, 24, -16, -11, 11, -2, -15, 14],\n [-5, 14, 12, -11, -11, 11, 19, -12, 17, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65396", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[18, -6, 7, -23, 14, -3, 18, 21, -3, 1, 9],\n [-1, 6, -4, -18, 25, 12, -8, 2, 2, -15, -14],\n [-24, 11, -22, 15, 19, 19, 21, 8, -3, -13, -19],\n [6, -3, 23, -18, 24, 21, 21, 11, 8, 22, 3],\n [11, -3, 12, 3, 18, -21, 14, -15, -12, 23, 16],\n [-24, 9, 19, 23, 9, 16, 2, -18, 6, -22, 19],\n [-19, 13, 22, 1, 11, -9, -16, -22, -3, -12, -21],\n [-24, 20, -2, -8, 1, -2, 3, -15, 22, -8, 22],\n [-22, 7, -12, 18, 16, 6, 25, -22, -6, -5, -23],\n [-1, -22, 21, -15, -10, 10, -20, 5, 14, -13, -3],\n [-22, 11, 16, 11, 18, 7, 16, 3, 11, -7, 25]]\nB =\n[[-6, 6, 18, -10, -21, 23, 20, -14, 19, -5, -12],\n [11, -4, 4, -3, -21, 3, 4, -8, 20, 24, -25],\n [13, -9, -23, 16, -19, 1, 2, 18, 5, -11, 22],\n [-18, -20, 2, -22, 4, 17, -9, 8, -20, 10, 9],\n [13, 13, -10, -24, -18, -11, 1, -10, -25, -16, -19],\n [22, -16, -14, -9, 19, -14, -11, 20, 25, 6, 6],\n [25, 0, -12, 24, 0, -21, 12, 24, 20, -22, 2],\n [-25, -13, 17, -23, 23, 24, -1, 16, -10, -5, -13],\n [18, 10, -18, 18, -7, 21, -10, -14, -6, -8, -14],\n [22, -1, -15, -4, 20, 8, -13, 20, 12, -14, 13],\n [10, 2, 1, 13, -13, 17, 14, 1, 25, 5, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11084", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 0, 16, 5, 12, -4, 10, -7, -12, -12, 24],\n [3, -9, 24, 24, 11, -17, -25, -22, -19, -15, -12],\n [16, -7, 14, -23, -18, 3, 24, 11, 17, -17, -7],\n [-14, 1, 11, 22, -1, 19, 12, 22, 24, -9, 18],\n [7, 13, -12, 2, -8, 7, 16, -11, -15, 10, -11],\n [22, 4, -11, 23, -3, 17, 24, 22, -11, 3, -15],\n [19, -8, 14, 5, -17, -4, -15, -9, 7, -15, 13],\n [-18, 25, -22, 10, -7, -2, 15, 23, -8, 7, 20],\n [10, -16, -12, -19, -14, -4, 1, 22, 11, -15, 10],\n [-13, 6, -18, -19, 17, 17, -9, -4, 20, 8, -6]]\nB =\n[[-18, -4, 1, 8, -5, -11, -21, 12, -9, -18, -7],\n [-21, -3, -7, -12, -16, 5, -13, -4, 11, 13, -16],\n [5, 17, 9, -13, 4, 8, 10, 9, 21, -22, -22],\n [21, -20, 2, 4, 1, -21, 18, 13, 9, 13, 18],\n [-11, -7, 4, 12, 6, 14, 3, -20, 0, 1, 9],\n [2, -21, 15, 22, -10, 15, -8, -13, 17, -1, -16],\n [3, -16, -20, -10, -1, 18, -22, 11, 8, -7, 7],\n [-22, 18, 8, -14, 5, -10, -24, 23, -24, 10, -20],\n [-3, 13, 21, 18, 11, 20, -10, 17, 18, -7, 23],\n [-2, 1, -19, 4, 15, -12, 18, -11, -14, 3, -3],\n [-13, -17, -2, 13, 4, -25, -16, 12, 21, -11, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3522", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, -3, 7, -17, -23, 4, -17, -1, 21, -2, 6],\n [-19, 10, -1, -6, -9, 10, 0, -7, 11, 22, -23],\n [17, 2, -4, 21, -7, 20, -10, -20, 11, 5, 23],\n [22, 8, 5, -15, 10, -20, 1, -19, 23, 6, -18],\n [7, 21, 18, -11, 1, 4, -4, 21, 3, 15, 22],\n [4, -24, -11, 21, 1, -19, 1, -5, -13, -9, -15],\n [-16, 7, -12, 11, -18, 7, -19, 8, -19, -19, 15],\n [10, -19, -6, -8, 19, 17, 15, -12, 14, -12, -5],\n [23, 1, 20, 0, 1, -2, -21, 16, 12, 2, 16],\n [17, 6, -2, -20, -16, 20, -23, -19, 3, 8, -19],\n [-9, -13, -5, 5, -17, 19, 21, -13, -9, -18, -17]]\nB =\n[[-17, 14, 22, 4, -19, -9, 13, 12, -21, -9, 14],\n [-25, -10, -9, 4, 5, 9, 19, -18, 22, 4, 13],\n [-5, -11, 8, 1, -24, -16, -21, 1, -22, 21, -13],\n [-9, -5, -3, 7, 24, -11, -12, -17, 18, 11, 4],\n [3, -3, 8, -19, -17, 24, -22, -24, 1, 7, 6],\n [18, 19, 20, 11, 1, 2, -23, 10, 23, 25, 17],\n [-18, 18, 24, 24, 15, 11, 23, 19, 12, -4, -12],\n [-11, 20, -22, -8, -25, -14, 15, 16, 24, -9, -7],\n [10, 22, -19, -17, -18, -1, -19, 16, -18, -2, -9],\n [-14, 20, 5, -14, -24, -14, 1, 20, -19, -13, 10],\n [-25, 23, 9, 4, 5, -9, -18, -23, -16, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1160", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-22, 6, 3, 20, -15, 20, -13, -22, -24, 8],\n [17, -4, -21, -17, -6, -5, -9, -14, 2, -8],\n [-23, -21, -12, 22, 0, -7, 15, -9, 13, 16],\n [-22, 16, 9, -2, 15, -13, 7, -11, -11, 5],\n [17, 2, -16, -19, 7, -19, -21, 0, -10, -18],\n [-4, 8, 14, 2, 20, 10, 21, -19, 14, 17],\n [2, -24, -17, -20, -25, -23, -16, 11, 18, -3],\n [7, -17, -13, 2, 25, -19, 0, -10, 14, 0],\n [25, 13, 6, 10, 16, -25, 23, -5, -13, 25],\n [0, 19, -17, 11, -3, -25, -24, 17, 2, 10],\n [5, 15, -21, 11, -1, -18, 8, 13, 23, 6]]\nB =\n[[-15, 21, -1, -23, 19, 24, 6, 9, 6, 8, 11],\n [-21, 19, 2, 2, -18, 1, -10, -8, -1, 22, -25],\n [-18, -5, 8, -2, 11, 0, 21, -12, 3, 4, -23],\n [-19, 10, -15, 6, -14, -11, 12, -2, -25, -8, 20],\n [-19, 16, 15, -24, 14, 5, 7, 4, 5, 8, -19],\n [-1, -10, -4, 10, 1, -9, -22, 9, 15, -4, 21],\n [9, 18, -11, 14, 18, -5, -13, 21, -15, 23, 1],\n [5, 18, 6, 4, -8, -10, 9, -17, 13, 25, 11],\n [25, -16, -14, -18, -23, -7, -15, -18, 0, 19, -3],\n [-16, -8, -14, 13, 0, -15, -16, -23, -19, -22, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66256", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-18, 12, -13, -14, 9, 12, 25, 17, 10, 21],\n [-24, -11, 23, 8, 13, 0, 22, -21, 22, -1],\n [25, 8, 21, -22, 8, 1, 16, 3, -21, -8],\n [-22, -25, 24, -6, -20, -6, -6, 20, 1, 0],\n [6, -16, -8, 15, -14, -16, -2, -2, 25, 12],\n [20, -1, -18, -12, 17, 5, -2, -10, -6, 12],\n [21, -11, -12, -14, 8, -18, -7, 20, -21, 1],\n [15, -13, 6, 5, 15, 20, 11, -24, -19, 22],\n [-15, -15, -3, 5, 18, 19, -18, 6, 22, -5],\n [5, -25, -13, -15, 3, -22, 10, -11, -23, 25]]\nB =\n[[3, -5, -24, -20, 5, -2, 14, -9, -21, -24],\n [-14, -21, 16, 15, -6, -18, -25, -20, -15, -23],\n [5, 2, 21, 17, -21, 0, -10, 5, 2, -19],\n [12, -17, 13, 9, 17, 1, -14, -1, 17, 3],\n [5, 8, 7, 1, -24, -12, -13, -2, -21, 8],\n [-3, -7, 4, 23, 17, -10, 24, 14, 8, 23],\n [-15, -12, 22, 21, -11, 9, -19, 3, 18, -4],\n [-3, -2, 9, 25, -16, -18, 22, 22, -14, 3],\n [3, -3, 0, 11, 6, 12, -20, -18, -9, -14],\n [-4, -12, 8, -7, -20, -8, 10, 11, 12, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1867", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[12, 14, -17, -20, -24, -10, -25, 4, 22, 7, -25],\n [13, -10, -9, 22, 22, 12, -8, -4, -4, 9, 5],\n [14, 1, 10, -22, 23, -21, -1, 5, -12, 4, 21],\n [-14, 1, 19, -2, 4, -8, -12, -7, -4, 0, -19],\n [2, 12, -21, 10, -8, -12, 22, -3, -12, 6, -21],\n [-4, 2, 17, -14, -8, 10, 5, -13, -6, 19, 10],\n [-19, -3, 8, 24, 6, -5, -20, -10, 9, 21, -6],\n [16, 15, -15, 6, -12, -2, 18, 13, 17, 5, -9],\n [-1, -17, -4, 19, 22, 9, 11, -9, 2, -25, -17],\n [23, -13, 21, 6, 2, 5, -18, -18, 8, -3, -16]]\nB =\n[[11, 22, -1, 25, 7, 19, -22, -19, 7, -24],\n [22, 20, 6, -21, 20, -9, -14, -14, 9, -5],\n [-5, -24, -5, -11, -15, -16, -8, -3, 5, 0],\n [-24, 13, -19, -2, 13, 6, 0, -3, -12, 3],\n [-1, 5, -24, -24, -3, 21, -15, 3, 16, 9],\n [23, -17, 6, 4, -11, -12, 25, -9, -4, 4],\n [-9, -10, -18, 13, 5, -14, 7, -14, -1, 12],\n [22, -8, -7, -23, 9, -21, 9, 25, 1, 11],\n [20, -5, -10, 2, -1, 7, -9, 17, 4, 15],\n [-22, -24, -17, 5, -1, 11, 10, -21, -2, -2],\n [3, 24, 19, 5, 11, -7, -3, 9, 24, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "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, 11, 4, -25, -18, 2, -1, 7, 12, -12],\n [-15, -24, 4, 4, -22, -13, -19, 12, -23, -17],\n [-12, -15, 11, -12, -7, -18, -19, -19, -23, -23],\n [-8, 19, 7, 11, 2, 10, -10, -11, 3, -8],\n [23, 20, 20, -7, 3, -20, 19, 24, 21, 1],\n [-19, 1, -7, -9, 15, -15, -21, -24, 21, -14],\n [16, 16, -15, -16, 2, -19, -12, -13, -21, 25],\n [16, -18, 24, -25, -21, -15, 17, 22, -16, -11],\n [13, 21, 3, -1, 22, -20, -15, -9, -11, -10],\n [-24, 10, -7, 12, 24, -5, -15, 15, -23, 8],\n [-8, -11, -1, 24, 25, -11, 4, -9, -8, 5]]\nB =\n[[24, 17, -8, 9, -13, -12, 10, -8, -21, -12],\n [-1, 18, 13, -14, 14, 2, 9, -25, -23, 17],\n [24, -19, -17, 10, -3, -2, -16, 24, 22, -14],\n [-7, 6, -2, -4, -23, 14, 1, -7, -17, 25],\n [23, -13, -24, 10, 3, -15, 8, -22, -22, -25],\n [-1, 0, -15, -3, -24, -7, 3, 14, -22, -10],\n [21, 11, 1, -21, -11, -3, 23, -23, -8, 17],\n [0, -20, 18, -9, 20, 12, 16, 22, 24, 1],\n [-6, -20, 25, 9, -14, 22, -23, 22, -22, 19],\n [-22, -22, 13, -5, 18, -24, -10, -19, -7, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63752", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -17, 11, -9, 1, 7, 23, -14, 19, -15, -13],\n [5, -13, 12, 0, 5, -4, -20, -6, -5, -16, -7],\n [9, 0, -19, 11, -18, -21, 18, 10, 25, 2, 24],\n [-23, 13, -18, -11, 1, 23, 25, 10, -10, 0, 19],\n [18, -22, -14, -9, 15, 18, 0, 5, -11, 8, 3],\n [-17, -12, 10, -22, 12, 11, -2, -9, -13, -6, -9],\n [25, 1, 7, -5, -9, -4, -1, -23, 1, 1, 20],\n [-14, -11, 12, -6, -4, -24, -22, 19, -13, 6, -4],\n [-1, 1, -9, -20, 17, 25, -10, -18, 7, -16, 8],\n [-7, -12, -23, 15, -3, 14, -15, 21, -20, 8, -25],\n [9, -1, 3, -3, -8, -12, -9, -24, 5, -7, 6]]\nB =\n[[2, 15, -18, 16, 15, 14, 13, -4, -2, 12, -24],\n [15, 15, -7, 15, -24, 2, 6, -7, -10, 4, -4],\n [-12, -25, 19, -24, -4, 20, 7, -11, 24, 15, -4],\n [14, 13, 15, 15, -15, -22, -19, -5, -19, -22, -14],\n [1, -9, -6, 5, 0, 5, 9, -17, -21, 22, -18],\n [-5, -10, 25, -10, -8, 21, 2, -8, -12, 22, 11],\n [14, -10, -5, -25, -15, -15, -24, 6, -7, -21, -23],\n [2, 0, -3, 4, -18, 10, 3, -13, -1, -4, 20],\n [7, 11, -19, -3, -20, -11, -11, 14, 8, -12, 3],\n [-10, 3, -3, -16, 21, -22, -14, 16, 8, -22, -6],\n [2, 2, -20, -12, 9, 21, -25, -7, -25, -13, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66555", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 9, -3, 24, 0, 15, 12, -6, -24, 0],\n [10, -1, 4, -8, -19, 1, -15, 11, -18, -15],\n [-2, 4, 4, -11, 9, 13, -2, -18, 17, 16],\n [-6, 15, 21, 0, -2, -4, -21, -11, 10, 11],\n [3, -11, 1, 23, -18, 3, -7, 5, -17, -16],\n [11, -16, 7, -1, -22, -21, -3, 13, -21, -18],\n [-9, -25, 24, -14, 9, -12, 22, -8, -16, -11],\n [16, 7, -7, 8, 19, -1, -10, -18, 9, -5],\n [-7, 20, -15, 18, -15, -15, -4, -5, 1, -8],\n [16, 22, 14, 12, 4, 25, 19, 21, 19, 7],\n [-5, -24, -13, -24, 17, 19, 5, -16, -3, -4]]\nB =\n[[21, 3, 7, 5, -12, -16, -8, -15, 13, 21, -23],\n [-24, -18, 5, -18, 17, 22, -24, -4, -21, -19, -6],\n [2, -13, -24, 6, 0, -23, 15, 16, -13, -5, 19],\n [11, -3, -19, -9, 2, 21, 4, -21, -2, -19, 8],\n [24, 16, 7, 1, -12, -7, 22, 25, 12, -14, -23],\n [-19, 9, -1, 23, -11, -7, -7, -3, -15, -5, 8],\n [13, 25, -19, 16, 18, 1, 24, -3, 12, -6, 1],\n [-18, 11, -23, -24, -4, -20, 13, 14, 10, 18, -2],\n [-14, -9, -4, -7, -17, -14, 6, 5, -9, -3, -16],\n [4, -7, 0, 0, -15, -6, 19, -22, 21, -14, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 5) of the result:\nA =\n[[-16, -4, -19, -2, -24, 6, -5, -19, -18, 25, 12],\n [-5, -18, -1, 2, 2, 5, 10, -1, 15, 11, 12],\n [25, -14, 11, 11, 5, -8, 0, -20, -17, -15, 5],\n [20, -24, 3, 20, 25, 16, -21, -3, 10, -19, -13],\n [16, -16, 10, -10, -11, 17, -7, -5, 9, -11, 22],\n [-12, 3, -21, 23, -8, 25, -25, 1, 1, -1, 15],\n [-5, -12, -6, 2, -5, -3, -15, -24, -6, -2, -1],\n [11, -4, -2, -11, -14, 20, 5, 17, 5, 4, 15],\n [-6, -18, 18, 4, 9, -5, 21, 14, 2, 13, -9],\n [-14, 24, -8, 21, 2, -23, 25, -11, -10, -4, 23]]\nB =\n[[5, 5, -25, -15, -20, -3, -17, -10, 12, 18, -7],\n [19, -13, 6, 10, -17, 20, 20, 23, 11, 5, 5],\n [-7, -24, 19, 6, 17, 8, -25, -5, -23, 1, 18],\n [-19, 7, -17, 4, -8, 0, -6, 12, 15, 5, -18],\n [-3, 24, -1, 21, -25, 20, -8, -7, 25, 16, -20],\n [-9, 20, 19, -18, 16, -17, 11, 1, 10, -20, -20],\n [19, -22, -4, 14, 1, 11, -24, -17, -15, -6, 17],\n [13, -12, 0, 12, 4, 10, 12, 9, -20, -23, -25],\n [-8, -3, 6, 3, -3, 10, -20, -9, -8, 5, -20],\n [8, 18, 18, 1, 10, 22, 16, -1, -16, 13, 20],\n [13, -14, -15, 23, 17, -23, 25, -4, -22, -18, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "443", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -2, -12, 2, -10, 6, 21, -14, -10, -7, -21],\n [-14, 3, -21, 16, -9, 21, -18, 14, 14, 4, -16],\n [-6, 19, -10, 15, -10, 16, -23, -3, -4, 2, 20],\n [19, 10, -22, 12, -2, -7, -15, 14, 20, 14, 20],\n [13, -8, -14, -12, 21, -8, 18, 16, -14, 14, 1],\n [-20, -2, 25, 7, 19, -10, 24, -14, 5, 11, -13],\n [-18, 12, -23, -6, -22, 18, 19, -24, 25, 10, -3],\n [19, -7, 14, -18, -10, 17, -8, 10, -2, -25, -25],\n [20, 10, -15, -8, -10, -9, -2, 8, -22, 9, -11],\n [-24, 25, 5, -17, -16, -1, 25, -21, -12, 16, 22],\n [12, 14, -24, -8, 3, -6, -18, 11, 23, 22, 0]]\nB =\n[[11, 23, -22, 7, -4, -20, 7, 2, -2, -22, -24],\n [-13, 20, 23, -15, 9, 13, -16, 17, -16, -18, -21],\n [-3, 8, 21, 6, -10, -22, 2, 22, 18, -12, -14],\n [-5, 22, -10, 18, -24, -3, 3, 20, 17, -17, -19],\n [3, 18, -9, -17, -20, 18, -6, -16, -17, -14, 7],\n [6, 8, -7, 7, 22, -10, 24, 24, -3, 0, 19],\n [18, 15, 11, -17, 4, -13, 22, 16, -10, 20, -24],\n [5, 25, 17, -7, -15, -12, 21, -1, -19, -11, 4],\n [5, -2, -1, -18, 4, 10, 24, -12, 3, 1, 24],\n [10, 8, -5, 12, -15, 7, -11, -14, -2, 24, 11],\n [-15, -7, -25, -9, 14, -10, 0, 17, 25, 17, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2502", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-18, 4, -12, 7, 16, -19, -8, -14, -24, 24, 3],\n [-5, -19, 1, -14, -6, -12, -16, 15, -3, 4, 21],\n [5, -16, -7, -7, 18, -3, 18, 15, 6, -6, -22],\n [7, 22, -25, -13, -23, -14, 3, 5, 15, 10, -24],\n [-4, -4, 15, 5, 19, -12, 3, 9, 24, -17, 21],\n [6, 1, -16, -1, 23, 19, 7, -15, 11, -17, -19],\n [-19, 8, -7, -6, 24, 16, -1, -21, 22, 3, 1],\n [-1, 11, -11, 22, -22, -12, 23, -9, -5, -10, 0],\n [-17, -24, 17, -11, 9, -2, 22, 25, 12, -12, 11],\n [11, -20, -8, -4, -8, 25, -24, 6, -9, -25, -17],\n [-13, 10, 11, 4, 5, -3, 24, 2, -16, -1, 10]]\nB =\n[[0, 0, 19, -13, -9, 14, -22, -3, 9, -15, -14],\n [-17, -11, 19, 11, -21, -7, -15, -17, 9, 24, 1],\n [-13, -14, -17, 16, 2, -13, -6, -13, 1, 0, 3],\n [3, -4, -17, -2, 16, -7, 12, 5, 13, -11, 6],\n [25, 20, 22, 20, 3, 8, -17, 9, -20, 11, -12],\n [21, 24, 23, -17, -7, -3, 15, 2, -10, 0, 12],\n [14, -1, 9, -21, -19, -3, -1, -25, -4, -22, 2],\n [22, -12, 7, -22, 16, -15, 13, 6, -22, -25, 0],\n [7, -9, 1, 16, -21, -19, -1, -18, 8, 15, -22],\n [-14, 5, -15, 11, 18, 10, 19, -4, -25, 24, -22],\n [10, -18, -1, 2, 12, 10, 10, 17, 15, 20, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68975", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-13, 12, 19, -1, -23, 6, 13, -25, -15, -24],\n [-21, -4, 20, -13, 22, -3, 21, 5, 9, 12],\n [15, 9, 19, -13, -19, -21, 3, -18, -18, -19],\n [-7, 13, -3, 10, 16, 6, 19, -22, 4, 25],\n [16, 13, -21, -23, -4, 2, -4, -4, 8, 3],\n [17, 16, -13, -19, -16, 2, -22, 6, -4, -6],\n [22, -6, -20, -17, 2, -13, 5, 13, 24, -12],\n [-4, 11, 19, -2, -18, -11, 25, 15, -20, -3],\n [-1, 5, 20, 3, -3, -16, -17, 23, -13, 6],\n [23, 25, 19, 15, -25, -25, 11, 14, -8, 10],\n [5, -25, 21, 10, -17, -4, 2, 0, -16, 21]]\nB =\n[[-23, -24, 11, 5, 7, 6, 17, -14, -23, 22],\n [0, -12, -14, 0, -10, -18, 23, 23, 2, -19],\n [-11, 15, 10, -18, -16, -11, -8, 20, 11, 15],\n [19, 25, 17, 18, 9, -24, -4, -11, 11, 13],\n [10, -21, 22, -11, 1, -10, 10, 12, -8, 9],\n [-1, -4, 5, 11, 8, -3, -10, -20, -11, -8],\n [12, -13, -2, -13, -25, 22, 10, 23, -8, 22],\n [7, 12, 17, -20, -9, -22, -12, 4, 20, -6],\n [-18, -24, 11, -22, -16, -6, 9, 22, -16, 2],\n [-11, 10, -25, -4, 1, 3, -11, -16, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61144", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[24, 22, -17, 25, 6, -9, 16, -7, 14, 1],\n [25, 11, 8, 21, 23, -16, 4, -5, -5, 8],\n [-17, 8, 24, -14, 21, -5, -6, -20, 24, 19],\n [10, -14, 15, 5, -24, -10, -25, -22, 21, -25],\n [21, 9, -13, 24, 19, 16, 5, -6, -19, 14],\n [7, 2, 24, 18, 24, 18, -6, 6, -17, 8],\n [-12, -22, 3, -11, -9, -7, 12, -17, 1, 23],\n [-11, 11, 2, 24, -22, -5, 8, -7, 11, -22],\n [11, 25, 6, 19, 22, -14, 15, -10, -12, -25],\n [6, -5, -22, -17, 25, 20, -4, -14, 4, 4],\n [6, 10, -19, -9, -25, -12, 21, 18, 18, 12]]\nB =\n[[0, 1, 19, -10, 20, -19, 6, -1, 5, -10, 15],\n [-12, -1, 4, -19, -14, -23, 1, 20, -7, 17, 11],\n [19, 16, -19, 23, -10, 6, -18, 23, -13, -15, -6],\n [-8, 11, -20, -6, 6, 20, 18, 3, -22, -19, 17],\n [-6, 8, 10, -19, 7, -11, 6, -4, 14, 3, -1],\n [-21, -12, 24, 9, -24, -1, -10, 20, -10, -15, 23],\n [9, -3, -21, 9, 3, 21, -21, -23, -20, -3, 20],\n [-24, -8, 4, 12, -21, 20, 23, -15, -25, -16, 15],\n [18, 0, 7, 1, 24, -14, -24, -25, -25, 7, -4],\n [-14, 13, 10, -5, -6, 10, 0, 21, 5, -25, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71336", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, 0, 20, 16, -19, -14, -2, -7, -17, 9],\n [-22, 19, 16, 6, 20, -20, 2, 2, 14, 25],\n [3, 16, -21, -21, 11, 15, 2, 15, 21, -17],\n [3, -12, 12, 14, 8, 11, 23, 16, -12, -8],\n [7, 8, 2, 10, 19, 22, 11, -3, 16, -9],\n [-15, 6, 11, -11, -22, 13, 4, -16, -3, -2],\n [10, -21, 11, 17, -7, 11, -18, -19, 14, -13],\n [11, 1, -8, -2, 15, -24, -10, -12, -9, -20],\n [9, -9, 19, 12, 14, -20, 22, 12, 23, -5],\n [9, -3, -14, 3, 1, -20, -5, -19, 17, 15],\n [-10, -21, -11, -5, -22, -21, -19, 9, 10, -11]]\nB =\n[[2, -24, -21, -19, -4, 23, 5, 6, -18, 15, 16],\n [-15, -25, 21, 14, -7, 18, 12, 16, 11, -19, 13],\n [-1, -4, 1, 15, 21, 12, 22, 13, -11, -24, -18],\n [18, 17, -20, -6, 1, 19, -3, 22, 14, -9, -13],\n [-22, -6, 16, -1, -4, 22, -9, 14, -15, -1, -21],\n [-5, 0, -10, 14, -5, 22, 6, -22, 12, -18, -17],\n [19, -9, 15, -13, -17, -20, 1, 16, 11, 13, 17],\n [-2, -17, 16, -15, 9, 3, -18, -9, -19, -14, 22],\n [-11, 3, 19, 24, 24, -2, 11, -12, -15, 9, -9],\n [1, 18, -23, -24, -22, -8, -6, -5, -12, -18, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11386", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -7, 16, 2, 3, -21, 17, 2, 15, 22],\n [0, -21, -11, 20, -17, 6, 0, 11, -11, 15],\n [-22, 10, -6, 1, -5, -4, -19, 21, 5, -9],\n [24, -19, -7, 2, -16, 1, -13, -24, -4, -6],\n [17, -21, -20, 9, -25, 9, -23, 10, -19, 3],\n [-11, -15, -8, 18, -22, -2, -15, -20, 25, -8],\n [-11, -23, -9, 7, 8, 4, -7, -17, 14, 18],\n [5, 1, 21, -1, -19, 22, -19, -6, 18, 23],\n [17, 10, -7, -24, 8, -9, -2, -17, -25, 16],\n [2, -11, -5, -11, -3, -24, 20, 10, 24, -17],\n [-24, -24, -8, -9, 15, -18, 8, 8, -21, 18]]\nB =\n[[3, 2, -10, -12, -24, 14, -22, 15, 5, 0, 1],\n [25, 8, 5, 22, -15, -18, -14, 9, 19, 8, -13],\n [1, -18, 21, -5, 15, -15, -4, -5, 2, -23, -19],\n [-12, -11, -17, 17, -19, -14, -7, 1, -8, -13, 17],\n [-25, 12, -5, 8, -13, 19, 25, 15, 25, -3, -25],\n [-3, 2, 6, -18, 0, -12, -2, 22, 3, -22, -8],\n [-12, 1, 15, 21, -23, 4, 10, -3, -8, 20, 21],\n [14, -16, -14, 15, -18, 6, -9, 15, 19, -12, 11],\n [-17, 0, 22, 25, -2, -3, 5, 13, 18, -24, 24],\n [-8, -10, 3, -15, -24, -12, -22, 13, 8, 20, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-17, 14, 15, -19, 25, -9, -3, 19, -15, -4],\n [-8, 23, 2, -10, 16, -22, 10, -4, -15, -5],\n [14, 15, -10, 16, -17, 9, 8, -17, -13, -20],\n [-22, 20, 2, -15, 8, 9, -21, 13, -15, -14],\n [17, -7, -13, -22, -12, 18, -24, -18, -4, 25],\n [-13, -5, -5, 2, 7, 3, 11, -4, 0, -15],\n [-15, 19, 8, -7, 22, 11, -12, 3, -7, 11],\n [-5, -2, 0, 15, -14, 22, -7, 21, 23, 4],\n [-11, -23, 23, -13, -17, -13, -10, 25, -12, -18],\n [-7, 6, 9, -3, -5, -8, 22, -12, -10, -2]]\nB =\n[[23, 6, -15, 19, -15, -22, 0, 20, -21, 10, 7],\n [-12, 6, -19, -16, -24, -16, 9, -5, 14, 16, -18],\n [20, -8, -17, 15, 4, -22, 9, -12, -12, 22, 11],\n [-6, 3, -3, 21, -5, 5, 6, 15, -19, -13, -3],\n [-18, -14, 10, -10, 0, 3, 3, -20, 11, 7, 5],\n [20, 15, -8, 12, 21, 5, -10, 14, 25, 11, -12],\n [13, -22, 4, 7, 10, 4, -12, -3, 22, 2, -19],\n [16, -16, -22, 18, 12, -13, -5, 7, 14, 2, -3],\n [6, 22, -21, 0, 13, 0, -23, -2, 8, 8, -6],\n [4, 16, -6, 15, -8, 12, -6, -20, 16, -1, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4531", "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, -23, 18, 17, 20, -7, -16, 25, -21, -4, -17],\n [7, -11, -2, 4, 10, 13, -20, -11, 12, 13, -4],\n [-23, 3, 3, 5, 19, -24, 9, 19, -17, -4, -7],\n [24, 11, -16, 20, -5, -9, -23, -19, 15, 11, 10],\n [-23, -13, 15, 4, -3, -19, 4, 3, -18, -16, 7],\n [-6, 3, 3, -5, -25, 25, 8, 18, 6, 19, -12],\n [11, 9, -2, 23, -25, 20, -20, 23, -22, 12, -25],\n [15, 5, 10, -17, 15, 19, -3, 5, 3, 23, -5],\n [-23, 0, -20, -6, 21, 20, -13, 15, -3, -11, 20],\n [5, -22, -15, -24, -10, 25, 5, 22, 13, 17, 18],\n [-22, 22, 2, -10, 13, -1, -13, -21, 4, -25, -21]]\nB =\n[[-12, -15, 8, 3, -8, -11, 20, -1, 4, 19, -24],\n [25, 14, 1, 23, -11, 6, -6, -12, 1, -23, 23],\n [-23, -13, -1, -8, -25, 13, -21, -24, 4, -9, 3],\n [16, -22, -17, -5, 17, -14, -14, 24, -22, 2, -17],\n [14, 25, 6, -13, 8, -7, -12, -21, 1, 2, 0],\n [-16, -2, -9, -10, -9, -25, -5, 21, 23, 17, -4],\n [-21, 10, -5, -17, 1, 22, -14, -8, 9, -11, 24],\n [18, 4, 19, 7, 10, 14, 25, 4, 0, -5, 11],\n [17, 5, -9, -9, 8, -2, 7, -22, -17, -24, 9],\n [12, 19, -11, 17, 16, -23, 5, 15, 16, -3, -14],\n [-18, -5, -5, 6, -9, 11, -2, -18, -8, -15, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69268", "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, 21, -20, 25, -9, -3, 16, 11, 2, -10, -14],\n [-5, -2, 2, 11, -5, 7, -24, 11, -7, 2, -11],\n [-25, 17, 2, 24, 9, 6, 2, -17, -2, -22, 19],\n [15, -23, 22, -4, 14, 13, 23, -1, 22, -4, 24],\n [22, 21, 8, -6, 10, 11, 13, 1, 21, 23, 6],\n [16, 3, 15, 22, 6, -2, -23, 1, -17, 14, -3],\n [-19, -9, 11, -19, 4, -13, -8, 5, -4, -12, -8],\n [9, -9, -7, 5, 13, 10, -11, 3, 14, -10, 7],\n [-1, -10, 4, 8, -24, 14, 18, 17, 12, 25, -8],\n [-21, 21, 14, -20, -14, 25, -14, -14, -17, 16, -4],\n [23, 24, -10, -22, 24, -23, -10, -12, 15, 12, -22]]\nB =\n[[-24, -16, -15, 13, 0, 11, 0, -22, 0, 12, 2],\n [-24, -24, -10, -3, -3, -13, -5, 13, -1, 11, 23],\n [-13, -11, 2, -23, -3, -22, 21, 24, -23, 13, -18],\n [17, -1, 15, -14, -21, 7, 20, -1, -1, 9, -11],\n [16, 0, -16, -2, 9, 3, 12, -21, -2, -7, 20],\n [23, 18, -17, 0, -1, 9, 24, 10, -12, -20, 6],\n [0, -11, 23, 5, 11, 12, 11, -7, -12, 10, 11],\n [-15, 1, -24, -4, -24, -6, 18, 22, -9, -22, -12],\n [-19, -11, 4, -10, 14, -24, -7, -25, 5, -22, 1],\n [-1, -4, 17, -16, 24, 7, 23, 22, 18, 4, 4],\n [-10, -17, -9, 9, 24, 21, -11, 22, 2, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58616", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 10, -13, -22, -3, -18, -13, -2, 14, 20],\n [4, 4, -1, 7, -17, 0, -2, 7, 13, -1],\n [19, -11, 15, 22, 23, 15, -20, -6, 18, -10],\n [-5, -11, 13, 16, -22, -2, -23, 24, -25, 4],\n [-13, -8, 14, -15, 16, 3, -22, -1, 10, 10],\n [18, 14, 2, 19, -18, -5, 9, 18, -8, 21],\n [-1, 20, 15, -21, 21, -18, -3, -23, 18, 11],\n [5, 3, 15, -6, -23, -3, 14, -5, -13, -18],\n [-21, -1, 13, 11, 15, -21, -18, 18, -22, 15],\n [-4, -12, -7, -13, 9, -22, 7, -4, -25, -15]]\nB =\n[[-10, -22, 3, 13, 18, 12, -2, -17, -18, -12, -11],\n [-4, 11, -11, -20, -25, -6, 15, 10, -24, -20, -24],\n [-23, -19, -6, 23, 15, 15, 25, -21, -1, 12, -8],\n [-25, -1, -9, 20, -11, -21, -9, -5, -3, 17, -16],\n [-9, -25, 11, 22, -19, -14, 14, 24, -25, -6, 18],\n [5, -22, 0, -14, -4, -25, -25, -23, -14, -5, -13],\n [-13, 15, -8, 7, -20, -1, -3, -2, 11, 0, -22],\n [12, 9, 23, -15, 10, -1, -6, -25, 4, -22, -3],\n [9, 16, -4, 5, -25, -22, -7, 4, -25, 22, -7],\n [-5, -4, 24, -24, -20, -5, 7, -7, 1, 11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11820", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 8, -25, 22, -1, -5, 8, 0, 10, 9],\n [-3, -9, 21, 16, -14, 18, -6, 13, 1, 16],\n [11, -6, -15, 2, -24, -2, -10, -14, -10, 10],\n [-24, -1, 3, 2, -16, 19, -3, 6, 5, -7],\n [-11, 7, -9, 10, -6, -17, 12, -23, -24, -8],\n [-3, -7, -19, 9, 24, -6, -6, -7, 15, -10],\n [12, -5, 3, 18, 12, 19, -2, 11, 3, 5],\n [19, 13, -14, 4, -22, 4, -21, -10, 1, -22],\n [-18, 22, -18, -9, 20, 18, -23, 1, 8, 19],\n [-5, 17, -2, 18, 24, 15, 3, 13, -20, -12],\n [24, -12, 11, -2, -13, -25, -14, 25, 16, -2]]\nB =\n[[11, -6, -20, -14, -5, -23, 1, 20, 10, -9],\n [23, 20, -11, 13, -22, -9, 12, -15, -14, 21],\n [6, 1, 18, 17, 1, 23, 14, 18, 3, -17],\n [17, -23, 13, 3, -5, 9, 22, -16, -3, 13],\n [-1, -2, -6, -11, -5, 16, -14, -8, -3, 15],\n [3, 15, 10, -21, 13, 0, 13, -15, 16, -15],\n [-8, -14, -10, 1, 10, -9, 23, -5, 11, 5],\n [19, 9, 1, -3, 6, -9, -15, -25, 2, -8],\n [23, 15, -6, -19, 11, -10, 13, 19, 19, 21],\n [-3, 6, 23, -9, -7, 16, 8, -12, -23, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50573", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-1, -15, 23, -11, -7, 17, -11, -11, 12, -11],\n [-17, -21, -7, -2, 3, -21, -4, -13, 24, 23],\n [21, 20, 3, -10, 10, -9, -6, -12, 24, -20],\n [-4, 14, -17, 6, -2, 7, -13, 9, -20, 23],\n [14, 4, 12, -10, -25, 16, -8, -4, 0, -12],\n [11, 23, -12, 0, 24, 10, -3, -24, 13, -19],\n [13, 19, 25, -4, 2, 12, -6, 23, -8, -2],\n [7, 19, 0, -7, 22, 16, -13, -16, -12, -17],\n [-15, -23, 14, -14, 9, 13, 20, 13, 6, 13],\n [-12, 18, -25, 1, 11, 17, -25, 19, 3, -2],\n [-9, 9, 5, 16, 6, -7, 5, 13, -6, 2]]\nB =\n[[-23, 6, -4, 18, 16, 18, -11, 12, -7, 5],\n [0, -21, -6, -24, -5, 25, 25, 10, 2, -6],\n [11, 13, 10, -15, -23, 11, -6, 6, 21, -1],\n [-5, 24, -10, 22, 16, -25, -3, 17, 23, -2],\n [21, -1, -19, 12, 21, 21, 13, 9, -12, -17],\n [-23, 12, -6, 15, 7, 15, 18, 6, 10, 0],\n [22, -21, 23, 4, -9, -20, -11, -25, -13, 22],\n [8, 4, -7, -24, 18, -14, 14, 18, -2, -15],\n [-24, -25, 2, -22, 15, 4, -19, -4, 0, 3],\n [-1, -16, -6, -12, 7, -21, 19, -20, -4, -9]]\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[[-11, 13, 14, 2, -24, -8, 1, -5, -3, -19, 22],\n [-7, -17, -14, 20, 4, -19, -24, -9, -15, 24, -14],\n [-23, -5, -12, -11, 25, 16, 15, -16, 10, 25, -16],\n [-9, 18, -1, 1, 7, -15, -13, -25, 5, 7, -5],\n [-10, 13, -3, -16, 22, 7, -4, 15, -20, 21, 10],\n [21, -16, -10, -13, 25, -6, -22, -6, -4, 3, -10],\n [17, 21, 17, -3, 4, 4, 17, -23, -2, 23, 11],\n [-13, 16, 6, 11, -14, -18, -2, 18, -10, 6, 8],\n [9, 6, 24, -9, -24, 0, 18, -9, 12, 23, -24],\n [-18, 20, -20, -17, -25, -21, 13, -17, -12, 1, -17],\n [10, 3, -6, -11, 10, -23, -3, 20, -17, 4, -7]]\nB =\n[[12, -23, 24, 22, -23, 8, -24, 1, -3, 16],\n [6, 21, 9, 14, -8, 1, -15, 13, -7, -1],\n [-19, 5, -24, 12, -21, -12, -8, 10, -22, -2],\n [-13, -5, 7, -6, -21, -2, 9, 4, 2, 25],\n [19, -19, 16, 9, 4, 8, 13, -17, -14, 3],\n [-16, 1, -7, -13, 16, 11, 6, -11, -5, -23],\n [-18, -20, 3, -7, -9, -16, 7, -13, 1, 16],\n [-14, -24, -16, -5, -3, -25, 7, 0, -11, -4],\n [-1, -25, 0, -5, 15, -2, 13, -10, 6, -10],\n [-13, 16, 6, 24, 15, 18, -2, -13, -15, -11],\n [-16, 16, 15, -23, -10, 18, -9, -1, 4, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15087", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 11, -13, -2, 12, 0, -17, -7, 2, -19],\n [19, -4, 4, 11, -10, 10, -21, 3, 25, -3],\n [-20, 10, 7, 23, 15, -10, 8, 17, 0, 11],\n [-13, -9, 6, 6, 2, 3, -1, 21, -4, 1],\n [18, 12, -6, 19, 24, -2, 21, 21, -18, 25],\n [-12, 13, -12, -21, 21, -5, -11, 10, 7, -9],\n [-6, -25, -10, 19, -8, -16, -3, -8, 23, -17],\n [20, 4, -13, 5, 20, 17, -13, 6, -9, -23],\n [-25, -21, 6, -1, 19, -21, 11, -3, -14, 8],\n [-3, -10, 23, -21, 18, 21, 2, -20, -13, 17]]\nB =\n[[4, 0, -9, -17, -10, 23, -8, -13, 3, 17],\n [19, -2, 19, 18, 20, -13, -1, 15, 20, -25],\n [-17, -22, 2, -14, -2, 20, -17, 9, 12, 9],\n [7, 9, 20, -6, -24, 18, 0, 16, -13, 4],\n [6, 10, -7, -4, -25, -15, 0, 22, -7, -7],\n [-14, -23, -8, 23, -21, 22, -2, -12, 25, 12],\n [-23, -20, -14, -15, 13, 0, -25, -10, 22, 23],\n [21, -17, -21, -18, -5, 7, 13, 17, -6, 19],\n [-4, -13, 13, -15, -8, 4, 7, 18, -23, -25],\n [10, -20, 11, 3, -15, -13, -15, 12, 25, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1270", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-11, -13, 16, 7, -13, 12, -2, -6, 18, -9, 24],\n [-2, 0, 14, 6, 3, -12, 11, -4, 8, 1, 2],\n [-4, 17, -23, -4, 22, -5, -10, -17, -13, -16, 23],\n [-5, 23, 16, 14, -19, 20, -4, -8, -5, 25, 24],\n [-12, -16, 7, -17, -8, -13, -9, -3, -1, -10, -2],\n [5, -15, -3, 15, 13, -4, 7, 15, 16, 22, -8],\n [-12, 2, -15, -2, 10, -7, -13, 7, -7, 21, 6],\n [-11, -15, -3, -21, -4, 16, -8, -19, 7, -23, 2],\n [-25, 23, 21, 11, -4, 22, 18, -7, -12, -23, -7],\n [7, -5, -25, 0, -16, 9, -13, -20, 17, -20, 9]]\nB =\n[[-10, 15, -18, -23, -21, -5, 5, -12, 11, -7],\n [11, -6, -24, -19, 7, 24, 16, -20, -19, 18],\n [-8, 17, 3, -7, -1, -22, 25, -13, 6, 1],\n [25, 8, 2, -17, -18, -5, 20, 4, 3, -17],\n [-13, -8, 12, -4, 5, 9, 16, 16, -16, -17],\n [5, 18, 14, -2, 15, 23, -18, 24, -6, -9],\n [2, -20, 16, 7, 2, -25, 15, 9, -2, -20],\n [-19, -17, 11, -10, 8, 9, 9, -6, -3, 16],\n [9, 21, 20, -3, -22, -16, 17, -15, 14, -17],\n [14, -14, -9, 6, -3, -11, 25, 2, 12, -21],\n [14, -8, -5, -11, -23, 20, 0, -11, 19, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2036", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 0, 15, -3, 23, 25, -1, -22, -16, -4, -23],\n [-7, 5, -17, 3, 11, 20, -19, 12, -2, -18, 8],\n [0, 2, 2, 20, -19, -23, -4, 12, 20, 18, -8],\n [-14, 5, 13, -21, 18, 15, 3, 17, 10, -12, 18],\n [-8, -19, -3, 7, 19, -10, 11, 25, -1, -17, 2],\n [-17, -14, -8, 1, 0, 0, -16, -9, 25, 6, -2],\n [17, 22, -18, 4, 0, -2, 1, -11, 2, -15, 13],\n [-24, 25, -17, 24, 19, -3, 7, -7, -13, -12, 6],\n [23, -4, -6, 7, -21, -6, -12, 1, 0, 6, 4],\n [1, 0, -8, 19, -3, 18, 21, -2, -22, 15, -23],\n [17, 4, 21, -10, -19, 13, -4, 15, 5, 23, -13]]\nB =\n[[15, 15, 3, 2, 18, -7, -3, 21, 24, -18, -1],\n [12, 12, 9, 0, -23, -24, -21, -6, -14, 12, -10],\n [11, 12, 10, 20, 3, 9, 23, 11, -5, -5, 2],\n [-20, -6, 10, -13, 14, -15, -2, -7, -3, 5, 11],\n [11, -23, 8, 3, -23, -11, -19, -23, 21, 17, -10],\n [19, 8, -6, 18, 13, 7, -12, 16, 9, -15, -6],\n [4, 2, -11, 12, 24, -13, 21, 9, 21, -2, -25],\n [16, -2, 1, -8, 0, 3, -18, 18, 0, -21, 7],\n [14, -21, 23, 21, 10, -13, -9, -13, -1, -24, -2],\n [10, -1, 8, -14, -7, 24, 16, 4, 11, 17, -25],\n [-23, 23, 0, -11, 20, 21, 22, 2, -22, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6852", "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, -20, -10, 6, 4, 9, -18, -21, 11, -14],\n [-1, 7, 13, -2, -15, 16, 9, 14, -25, -18],\n [-3, -6, 6, -15, -19, 4, 22, 13, -13, 16],\n [23, -23, -19, 17, -13, 11, -1, -3, 25, 21],\n [7, -21, 6, 4, 5, -13, 16, -21, -3, -25],\n [-16, 24, 1, -18, -23, -7, 25, -24, 23, 5],\n [22, -16, -10, 11, -6, -23, 9, 8, -5, 10],\n [6, -8, 8, 12, -23, -23, 1, -24, -23, -9],\n [20, 13, 12, 14, -7, -7, 18, -21, -21, -12],\n [1, 23, 22, 10, 14, 9, -5, -21, -2, 13],\n [24, -2, 14, 17, 20, 24, -13, 12, 19, -25]]\nB =\n[[17, 13, -16, -24, -10, 11, -10, -3, 0, -10],\n [1, 21, 15, 4, 7, 6, -17, -15, 11, -20],\n [4, 14, -11, 22, 4, -8, -14, -22, -10, -3],\n [-15, -2, -4, 13, -11, 23, -11, -16, 2, 10],\n [-9, 10, -4, -3, 3, -4, -15, 10, 18, 3],\n [16, 6, -12, -8, 12, 11, 8, 19, -3, 6],\n [20, -23, 17, -4, -3, -22, -13, 6, 3, 14],\n [14, 19, -16, -13, 19, -9, 12, -24, -9, 18],\n [0, 12, 11, -21, -1, -17, 2, -4, 3, 9],\n [-6, -21, 13, 18, 6, 13, -16, 14, -9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54597", "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, 6, -3, -15, -13, -8, 23, -17, 16, -21],\n [17, -4, 6, 21, -24, -5, 2, -2, -2, -12, 11],\n [1, -2, -20, 0, -11, 3, 10, -16, 2, 25, -17],\n [-5, -16, -22, -22, -20, 0, 14, -10, -18, 2, -10],\n [12, 23, -25, -7, 24, -9, 23, 2, 18, -14, -20],\n [-19, -18, -23, 23, -5, -18, 2, 4, 6, -15, -6],\n [24, -10, -1, 19, -17, 25, 13, 23, 14, 14, -23],\n [-10, -14, -11, -22, -3, 1, 13, 17, 11, -13, 17],\n [11, 14, -5, 3, 3, 23, -15, 25, 24, 2, -16],\n [-21, -1, 7, -9, 23, 7, -1, 7, -17, 1, -1],\n [-22, -17, 20, -11, -10, -10, -13, -12, -4, -5, -17]]\nB =\n[[15, -22, -16, 9, -17, 25, 22, -10, 23, -8, -16],\n [-5, 25, -11, -11, -15, 14, 22, 16, 15, 21, 11],\n [-6, 8, -4, 22, -8, -10, -21, -25, -7, -16, -5],\n [-13, -2, -3, -3, -15, 21, -24, -20, -15, -11, -17],\n [-14, 10, 2, -3, 1, -2, -12, 9, 1, -5, 23],\n [-13, -18, 18, 18, 18, 8, 16, -3, -17, -25, 10],\n [20, -10, -1, -8, 8, 12, -23, -6, -7, -13, -9],\n [-12, 4, -4, 17, 22, 17, 3, 24, -24, -18, -12],\n [8, -13, -16, -18, -19, -13, 0, 6, -7, -11, -24],\n [11, -7, 7, 13, 24, 7, -25, 13, 2, -9, -20],\n [18, -6, 21, -13, -14, 4, -5, -24, -8, 2, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72192", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[16, 17, -20, 12, -17, -6, 19, 4, 11, 12, -22],\n [12, 24, -13, 9, 4, 16, -22, -1, 5, 21, -14],\n [-11, 0, -16, -14, -4, 14, -5, 9, -19, -8, 1],\n [9, 21, -24, 6, -11, 19, -2, -6, -16, -2, -2],\n [-2, 14, 22, 22, 8, 15, 14, -15, 0, -25, 4],\n [17, -8, 0, 21, -17, -17, -25, -19, 18, 16, 25],\n [-10, 12, -15, 25, -1, 3, -7, -8, 21, 3, -10],\n [20, 14, -18, 8, -20, 19, 19, 4, 18, 8, -5],\n [-14, 23, -20, 13, -20, -22, -17, -21, -16, 21, -18],\n [-3, -22, 11, -19, -20, 19, 25, 16, -11, 9, 24]]\nB =\n[[6, -12, 9, -15, -16, -9, -13, 8, 19, 25, -21],\n [22, -16, 6, -14, -13, -5, 22, 7, 15, 22, 25],\n [21, 24, 6, -14, 20, 9, 10, 12, 22, 2, -13],\n [-14, -4, 18, -24, 3, -13, 9, -13, 8, -7, -17],\n [5, 7, 1, 19, -24, -11, -7, 5, -10, 17, -11],\n [-20, -12, 1, 12, -7, 11, 17, -22, 0, -17, 15],\n [23, 14, -11, 15, 11, -22, 0, -8, 15, 9, 15],\n [15, 3, -2, -22, -5, 13, -19, -3, 14, -5, -25],\n [15, -1, 5, 18, 12, 19, -21, 5, 25, -25, 4],\n [-8, -18, 0, 14, -11, -7, -16, -2, -10, 17, 5],\n [18, -10, -10, 2, -6, 9, -17, 14, -16, 19, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8036", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 11) of the product matrix AB given:\nA =\n[[19, 19, -11, 19, 4, 22, 6, 14, 1, 1, -7],\n [-16, 18, 20, -20, -2, -17, 1, -19, -20, 7, -5],\n [20, 12, 18, -9, 5, 11, -15, 2, -21, -14, -23],\n [15, 12, -24, 0, -24, -14, 14, -24, 15, -10, 4],\n [21, 20, 10, -22, -15, -2, -8, 1, 11, -24, -11],\n [-15, 1, 23, 22, 21, -3, 9, 4, 21, -2, -7],\n [3, -13, 22, -3, -14, 23, 22, 15, 3, -20, 25],\n [-3, 5, 19, -5, -2, -18, 18, -17, -4, -22, -13],\n [8, -23, 11, 2, 0, 24, 20, 8, -11, -18, 22],\n [9, -2, 11, -22, -14, -7, -11, 4, 19, 11, -14],\n [-7, 8, -19, 2, 2, 3, 11, -6, -15, 24, 24]]\nB =\n[[13, 16, -3, 20, -6, -6, -15, -24, -13, -13, 15],\n [23, -11, 5, -3, -4, -10, 16, 3, -6, 2, 1],\n [18, 3, -21, 23, 16, 12, 12, 18, 25, -24, 19],\n [-6, 17, 21, -13, 0, 9, 20, -18, 2, 15, -11],\n [24, -18, -15, 3, -21, 21, 21, -19, -8, 2, -14],\n [-14, 10, 3, -15, -20, -5, -16, 6, 21, 7, -9],\n [-23, 17, -8, -16, 15, 13, 17, -18, 8, 11, 15],\n [7, 23, -16, 14, -8, -1, 16, 15, 10, -24, -7],\n [-16, 23, -23, -7, 25, 0, 25, 25, 21, -1, 24],\n [-9, -16, 20, 25, 24, -15, -15, -14, 14, 22, -18],\n [-2, -12, -3, 24, 10, -9, 19, -21, -23, -17, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-328", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[24, -6, 25, -7, -5, -10, 7, -21, -2, -11],\n [0, 18, -1, 2, 7, 20, -8, -8, 12, 7],\n [1, 23, 24, -11, 18, -13, 8, -22, 9, -7],\n [5, -1, 14, -14, -14, 16, -1, 7, 11, 2],\n [17, -17, -12, -23, -21, 0, 15, -8, 12, -5],\n [13, -10, 14, -3, 3, -16, -21, -15, 3, 19],\n [1, 8, -12, 15, 16, -16, 16, 25, -15, -15],\n [9, -7, -2, -25, -14, 21, -12, -23, 19, 24],\n [6, -10, 12, -16, -9, 23, 14, -22, -11, 7],\n [13, -16, -19, 7, -9, -14, -9, 21, -10, -12],\n [-23, 25, 18, 25, 24, 4, 20, 15, 9, 0]]\nB =\n[[-14, 5, -9, 11, -18, -7, 0, -22, -11, 25],\n [21, -12, 4, 22, 16, -2, 20, 17, 8, -7],\n [-23, -22, -15, -13, 24, -8, -7, 18, 7, 12],\n [-23, 23, 9, -25, 9, 10, 12, 13, -1, 14],\n [-13, -22, -20, -15, -25, -18, 8, 14, -17, 10],\n [23, 13, 16, 11, 16, 18, -5, -6, 12, -25],\n [9, 2, -19, 17, 18, -17, -25, 10, 8, 8],\n [-9, 6, -24, 10, -1, 17, 25, 0, 19, 0],\n [-5, -8, 3, 25, -2, 21, 2, -14, -15, 1],\n [-3, 7, -10, 2, 2, 19, 12, -20, 16, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63187", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, -23, -20, 22, 12, -13, 10, -11, -20, 7, 15],\n [-14, 17, -13, 7, 25, 2, 10, -21, -1, -9, 11],\n [-7, 9, 17, 8, 20, -20, -7, -25, -19, 8, -7],\n [7, 0, 15, 23, 16, 1, 12, 0, 9, -6, -2],\n [21, -5, 0, -6, -20, -23, -16, -14, 7, -4, -10],\n [-9, -16, -14, -7, 14, -3, 14, -16, -16, 24, -16],\n [13, 4, -22, -25, 17, -7, -21, 4, 0, 14, 8],\n [-24, -2, -12, 15, 16, -13, 3, -25, 20, 8, -22],\n [2, -7, -25, 10, 17, -13, 24, 16, -21, 7, -12],\n [-10, 6, 24, 1, 9, -23, -22, -19, -13, 15, -23]]\nB =\n[[-9, 21, -16, 21, -25, 2, -16, -19, 13, -23],\n [-19, -17, 14, 9, 0, -21, -13, 19, 4, 14],\n [24, 13, -16, 16, -3, -15, -14, -13, 14, 23],\n [20, 23, 25, -10, -17, -16, 3, -17, 7, -2],\n [9, -15, 13, 24, -13, -3, -1, 24, -10, 22],\n [-5, -16, 15, 14, -7, 9, 2, 15, -24, 25],\n [4, 14, 24, 14, -21, 12, 16, -11, 10, -23],\n [-2, 15, 22, 22, 21, 15, 23, -14, -18, -12],\n [-8, 18, 20, -6, -3, -21, -25, 19, 20, -24],\n [-10, -21, -4, -25, -14, -7, -4, 16, 18, 25],\n [22, -9, -13, 13, 2, -23, -21, 10, -11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3201", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 1) when matrix A is multiplied by matrix B?\nA =\n[[18, 20, 3, -22, 6, 23, 17, 12, -22, -13],\n [-6, 21, -8, 23, 25, 16, 11, -14, -1, 4],\n [-11, 10, -18, 2, -4, 23, 12, -10, -21, 20],\n [8, 23, 12, -15, -24, -1, -1, -25, 5, -21],\n [14, -22, 25, -21, -21, -10, -8, 17, -9, 9],\n [-8, -22, 25, 5, 5, -17, 5, -21, 10, -10],\n [16, 15, -10, -6, 4, 0, 23, 5, 24, -11],\n [15, 12, 12, 17, -6, 9, -3, 18, 21, 13],\n [-1, 24, -4, 21, -18, -17, -11, 22, -6, 9],\n [11, -23, 8, 8, 10, 9, -17, 4, 0, -14]]\nB =\n[[-2, 15, -7, 18, -10, 0, -3, 7, 16, 4],\n [-3, -16, 10, 5, 17, -4, 17, 17, 12, 21],\n [-24, -3, 9, 11, 6, 17, -14, 9, 15, -23],\n [8, 12, -2, 12, -9, 14, -25, -18, -11, 24],\n [19, -1, -18, 6, 24, -13, 20, -11, -20, 7],\n [-19, 7, 21, 3, 12, 11, 18, 6, -23, -6],\n [-12, 2, 12, -22, -11, -9, 11, -2, 12, 16],\n [15, 10, 15, -18, -23, 4, -4, 7, -1, 4],\n [11, -23, -22, 3, 6, -3, -7, -11, 25, -10],\n [-3, 14, 20, 11, -25, -7, 11, 9, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the product of the following matrices:\nA =\n[[13, 23, 0, -13, -4, 20, -3, 18, 17, 7],\n [1, 9, -14, -17, 8, -12, 11, -23, 18, 18],\n [-5, -19, 7, 9, -15, 19, 6, -4, 16, -7],\n [10, 11, -15, 15, -13, 2, 23, -11, -13, 17],\n [7, -18, 6, 11, 22, -22, 25, -8, -3, 3],\n [-24, -13, -10, -18, -7, 6, -23, 25, 23, 6],\n [15, -5, -1, -9, -1, 7, 5, 10, -3, 21],\n [18, -1, 23, 18, 22, 4, -13, 17, 21, 3],\n [-10, 12, 1, 0, -15, 21, 11, -23, 0, 8],\n [7, -11, -24, 2, -6, 12, 18, -10, 20, -22]]\nB =\n[[-18, 18, 20, -6, 0, 6, -13, -21, 18, 16, 25],\n [-13, 15, -15, 11, 6, 19, 16, -8, 3, -11, -6],\n [18, 10, -21, 14, 11, 7, -8, -7, 25, 6, 16],\n [-4, 15, -25, -1, -6, 9, 19, -20, -20, 24, 11],\n [23, -23, 11, 5, 9, 19, -11, -9, -11, -21, -4],\n [20, -15, 2, -12, 13, -23, 16, -15, 4, 12, -21],\n [-4, -13, 18, 25, 25, -5, 11, -1, -5, 2, 15],\n [-22, 3, 21, 9, -3, -19, 20, 20, -17, -3, -23],\n [-17, -22, 23, -1, -20, 22, -8, 19, -19, 9, 5],\n [12, 6, 9, 2, 18, -21, 4, -4, -9, -16, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1044", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-22, 16, 1, -19, -3, -15, -18, -18, 11, -21, -19],\n [-4, 10, -24, -2, 25, -24, 22, -14, 21, 16, 0],\n [12, 19, -20, -3, -24, 0, -12, -8, 12, 6, 25],\n [-12, 4, -13, 14, 5, 11, 19, 12, -4, 2, -7],\n [17, -10, -21, 18, 23, -24, -16, 21, -7, -6, 3],\n [-1, -9, 25, 25, -13, 19, -10, 9, 10, 13, -23],\n [-17, 14, 24, 20, 3, -21, -23, -16, 5, -15, -9],\n [14, 15, -18, -24, -22, -10, 15, 15, -5, -21, 9],\n [-12, -11, -20, -10, -3, 5, 16, 20, -14, 15, -7],\n [-14, 19, -13, 23, -24, -6, 5, -17, -5, -18, 13]]\nB =\n[[11, 3, -7, 9, 19, 12, 0, -15, 10, 9, -22],\n [-23, 19, 21, -14, 6, 21, 0, 17, 17, -13, 18],\n [12, 3, 25, -7, 9, 22, 15, 1, 20, 5, -23],\n [9, -2, -19, 25, 9, -5, -25, 18, -20, 13, 8],\n [-8, -1, -11, 21, 6, 16, 23, 24, -8, 5, 3],\n [-11, -3, 12, 15, -15, -11, -3, -23, -7, -25, -2],\n [23, -15, 4, 24, -15, 13, -25, -14, -22, -1, -18],\n [-11, 17, 4, 14, 6, 18, 9, -5, 5, 10, 1],\n [18, -18, -3, -3, 16, 7, -13, 13, 9, -10, -14],\n [5, -21, 24, 14, 18, -1, -5, -23, 22, -16, -3],\n [-9, 16, 9, -1, -24, 1, 20, -17, 23, -22, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 3, -4, 21, -13, -3, 5, 25, 15, 10, 14],\n [5, -11, -12, 9, -2, 4, 4, 1, 23, 14, -12],\n [19, 21, -15, 21, 18, 0, -5, -17, 21, -25, 18],\n [-20, -25, -4, 25, -13, 12, 23, 19, 15, 14, 5],\n [-11, 24, -24, 5, 0, -24, -15, 7, -8, -5, 5],\n [0, 4, 13, -5, 23, -10, -19, -4, -19, -24, 11],\n [-12, -18, 3, 18, -19, 12, 19, -4, 18, -9, -10],\n [7, 13, 9, 12, 6, -23, -23, -18, 20, 5, -17],\n [-21, 2, -11, 23, 1, 16, 5, 14, -8, 12, 23],\n [-22, -5, 21, 16, -3, 19, -4, -25, -1, 15, 2],\n [11, -15, -4, -1, -5, 10, -6, -10, 2, 3, 24]]\nB =\n[[0, 14, -24, 23, -16, -13, -11, -17, 1, -18, -20],\n [10, 24, -2, -23, 0, 10, -5, -13, -15, -18, 20],\n [20, 22, -12, 7, -24, -25, -15, -20, 6, -11, -14],\n [11, 3, 18, -4, 20, -12, -7, -21, 9, -1, 24],\n [12, -17, -19, -8, -24, -16, 18, -24, 19, -18, -19],\n [9, -3, -18, -5, 7, 21, -25, -14, -15, 22, 4],\n [-22, 8, -3, 6, -23, 2, -22, 24, -14, -2, 7],\n [-23, -22, 4, -20, 23, 4, -18, -8, -10, -20, -2],\n [25, 2, 6, -1, 2, -5, -18, 10, -17, 14, -5],\n [25, -25, -22, -16, 0, 14, -23, 18, -17, 6, -23],\n [-22, -20, -17, 0, -24, -24, 24, -5, -4, -23, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6655", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[24, 12, 7, -11, -15, -16, 10, -12, -24, 19],\n [22, 18, 11, 25, 3, 9, -6, -5, 8, 23],\n [17, 7, -7, -18, 5, -15, -18, -1, 23, -6],\n [12, -19, -13, 13, 17, -16, -18, 16, 17, -6],\n [-9, -15, -10, 11, 16, 6, 0, 11, -17, 9],\n [-23, 5, 16, -19, -24, -1, 14, -14, 4, 4],\n [3, 15, -15, 25, -3, -9, -13, 7, -25, 14],\n [-13, 12, -23, -10, 16, -19, -23, -12, -10, -22],\n [5, -13, 1, -25, -1, 11, 24, 18, -15, -17],\n [-19, -12, 4, -2, -23, 22, 13, 1, -25, 12]]\nB =\n[[0, -20, 16, -14, 25, 12, 20, 9, -16, -17],\n [-3, 4, 25, -4, 21, -17, -7, -18, -22, -21],\n [-7, 20, -8, 3, -7, -20, -21, 17, -21, -18],\n [1, 11, 17, 19, 12, 11, -8, 0, 16, -10],\n [-4, 20, -3, 21, -23, -23, -14, -3, 21, -15],\n [16, 21, 24, 20, 3, -20, 20, -10, 8, 25],\n [11, -15, -15, -1, -7, 6, 24, -18, -14, 15],\n [9, -20, -5, 0, -25, -9, 9, 1, 24, 24],\n [-24, 10, -25, -16, 5, 11, -21, 15, 20, -13],\n [19, -2, 1, -25, 23, -6, -18, -23, 23, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65267", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 2) of the product matrix AB given:\nA =\n[[18, -1, -1, 24, -12, 17, 1, 22, 6, 1, -22],\n [24, 13, -15, 22, 22, -23, -1, -2, -17, -18, 13],\n [5, -9, 17, 5, -22, -22, 11, -18, 16, 23, -20],\n [-17, 16, -18, 6, -11, -8, -3, -21, 24, 1, 7],\n [-24, 16, 12, 2, -2, 25, -5, 5, -15, 24, 2],\n [22, 14, -22, 17, 16, -10, -14, -4, 9, 17, -10],\n [-2, 9, 2, 16, 3, -5, 22, -1, 13, 5, -11],\n [21, 16, 9, 12, 24, -4, -21, 22, -13, 6, -23],\n [-11, 1, 1, 4, -20, -1, 2, -4, -22, -11, 0],\n [-8, -17, -22, 22, 24, -21, 19, -20, 25, -14, 5]]\nB =\n[[21, -17, -19, 3, -12, 25, -6, 22, 6, -4],\n [10, 18, -8, 14, 23, -1, 5, 9, 0, -22],\n [16, 22, -6, 8, -14, -10, 16, -21, 18, 9],\n [18, 1, -25, 8, 17, 6, 18, 13, 7, 5],\n [-13, 19, -24, 4, -16, -3, 7, 13, 19, 3],\n [4, 8, 13, -9, -4, -21, -15, -4, 6, -2],\n [-15, -15, -9, 6, -7, 1, 6, -1, 2, 14],\n [1, -12, 16, 13, -24, -9, -25, 19, 6, -7],\n [-12, 5, -8, -12, 21, -12, -2, -21, -10, -21],\n [-13, -10, -11, 5, -21, -5, 4, -3, 12, 3],\n [-13, 6, 22, 16, 1, 8, 19, 23, 7, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 11) of the product of the following matrices:\nA =\n[[-8, -20, 2, 18, 1, 0, -6, -13, 2, 8, 23],\n [-3, -16, 25, 4, -4, -21, 18, 24, -17, 17, -22],\n [16, -25, 8, 15, 0, -8, -10, -3, 20, 10, 0],\n [-24, 18, -21, 3, -22, 21, 9, -4, 23, -18, 18],\n [-5, -18, -21, -5, 1, 12, -21, -5, -18, -4, -8],\n [-22, -22, 11, -11, 12, 1, -5, 22, 20, 20, 22],\n [-22, -15, -7, -7, 1, 14, 16, 2, -21, 22, -1],\n [-23, 0, -16, -2, 3, 19, -19, 18, -3, 20, 1],\n [16, -17, 18, -23, -13, -20, 12, -5, -7, -1, 13],\n [-22, -4, -21, -25, 24, -9, -17, -17, -2, -16, -6],\n [-9, -13, 3, 10, -3, 1, -8, -8, -17, -23, -19]]\nB =\n[[-11, 4, -17, 15, 1, 10, -8, 5, -9, -20, 13],\n [-1, 16, 16, 12, 12, 5, 25, 3, 14, -17, -25],\n [-10, 12, -3, -18, 21, -14, -16, -10, 21, 17, -2],\n [13, -18, -15, 15, 0, -19, -11, -11, 22, -23, -10],\n [-11, -1, 7, -12, -2, -15, -23, -17, -20, 5, -10],\n [-15, 24, -9, 23, -23, -7, -2, 21, 16, -18, 23],\n [10, 14, -24, -3, 14, 4, -1, -19, 2, 15, 24],\n [-9, 6, -25, 1, 18, 10, 23, -19, -23, 4, -25],\n [25, 8, 12, 17, 10, 7, 17, -10, 12, -15, -18],\n [-25, -12, 4, -5, -5, 8, 12, 0, 15, -12, 14],\n [9, 16, -8, -6, -17, 15, 25, 19, 7, 23, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "688", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-22, 22, -10, 21, 0, -20, 11, -4, 16, 13],\n [-19, 16, 4, -16, -11, -20, -2, -24, 14, -11],\n [-5, -8, -21, -1, 10, -16, 25, 20, -3, -2],\n [19, -16, -20, -13, -5, 6, 17, -11, -24, -11],\n [25, -9, -6, 24, -20, -11, -9, 0, -4, -17],\n [-14, -4, -3, 11, -12, -2, -18, 0, 6, 2],\n [6, -4, 23, -17, -23, -1, 13, -14, 3, -23],\n [15, 20, -3, -3, -8, -15, 10, 0, -18, 2],\n [-8, -13, 10, 16, 14, 18, 25, -14, -4, -24],\n [14, 2, -13, 7, -23, 8, -3, 6, -6, 2],\n [-18, -23, 4, -1, 4, 3, 21, 4, 8, -1]]\nB =\n[[-9, -2, 12, 2, 7, 10, 25, -19, -3, 20, 0],\n [-12, 16, 2, -2, -19, 22, 10, 13, -11, 23, -23],\n [22, -24, -19, -10, -5, -17, -14, 3, -2, 7, -12],\n [17, -8, -21, -11, -19, -1, -12, 14, 10, 9, 18],\n [24, -2, -11, -15, -2, -15, 18, 25, -9, -20, -5],\n [-18, -11, 6, -16, 2, -11, -14, 17, -8, 11, 18],\n [-2, 11, 3, -16, -12, -10, 11, -15, 25, 0, 14],\n [-7, -8, 4, 6, -3, -14, -13, -5, -5, 3, 3],\n [24, 1, 3, -11, 21, -14, 15, -7, -14, -3, -21],\n [0, -16, -4, 13, -3, -15, 2, 5, -18, 13, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4421", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -10, 20, 21, 5, 15, 22, -10, -21, 9, -1],\n [-13, 3, 1, 14, -9, 11, 12, 3, 8, 4, 5],\n [-4, 20, -1, -22, 9, 15, 24, 18, -17, 0, 1],\n [1, -8, 4, 19, 20, 5, 16, -23, 3, -19, -8],\n [-10, 23, 6, 12, -1, 18, 6, -7, -23, 9, 24],\n [3, -15, -20, -7, 11, 19, 1, -21, 0, 9, -7],\n [-9, 9, 21, 23, -13, -12, 4, 22, 17, -9, 11],\n [-11, -8, 22, -12, -12, 19, 7, 12, -15, -15, 22],\n [0, -23, -1, -9, -4, 3, 20, 0, 8, 0, -17],\n [14, -15, -19, 4, -24, 4, -22, -12, -13, -1, -13],\n [-13, 11, 18, -20, 0, -12, -18, -2, -4, 14, 13]]\nB =\n[[23, -5, 17, 0, -16, -13, 16, -12, -17, -19, 13],\n [5, 24, -10, -18, 22, 25, -11, -1, 21, 12, 15],\n [-11, -1, -19, 0, -18, -8, -5, -10, 21, -23, -25],\n [-13, 6, -14, 5, 15, -24, 15, -18, -1, -21, 19],\n [-24, 16, 12, 13, -23, 20, 22, 12, -4, 14, 7],\n [6, 21, -9, -8, -23, -20, 23, -13, 5, -9, -5],\n [-10, -9, 6, -25, 22, 12, -18, -25, -24, 21, 11],\n [-2, 1, -6, 21, -5, 16, 11, 9, 12, -11, 24],\n [20, 16, 4, -22, 17, 13, -11, -3, 15, -11, 0],\n [-14, -8, -20, -8, 24, -2, 12, 2, -11, -7, -21],\n [-22, -9, -16, -14, -21, -19, 18, -3, -24, 4, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[19, 11, -21, -6, 0, 18, 18, 13, -20, 3],\n [-16, 25, -10, 8, 5, 10, 15, -21, 7, 17],\n [-7, 6, -3, -23, -25, 10, 15, 2, 22, 13],\n [-21, -13, -15, 20, -4, 23, -3, -14, -5, -7],\n [-21, -2, 4, -18, -24, 23, 8, -3, -23, -2],\n [-8, 21, 11, 23, 5, -12, -25, -12, 15, -21],\n [5, 5, 4, 10, -25, -23, -6, 17, 22, 17],\n [-5, 4, 16, 18, 4, -21, -16, -2, 19, 25],\n [13, 22, -20, -16, 16, 17, -16, -1, -12, 21],\n [13, -13, -15, 13, -15, 20, 23, -10, 7, 15]]\nB =\n[[15, 6, -16, 25, -11, -10, 17, 1, 23, 25, 19],\n [6, -20, 21, 22, 10, -18, -1, -19, -9, 22, 4],\n [-24, -9, -22, 0, -12, -18, -21, -21, -21, 1, -21],\n [-23, 12, 4, -25, -18, -13, -6, -20, 24, 24, 22],\n [-18, 4, 23, 14, -11, -16, 7, -17, 23, 7, -17],\n [-12, 6, 11, -20, -21, -22, 22, -10, -16, 5, 5],\n [-12, -13, -22, 20, 0, -2, -17, 9, 16, -11, -2],\n [5, -7, -24, -24, 15, 10, 11, 8, 13, -7, 12],\n [-3, -10, 20, 18, -20, 0, -4, 19, 21, -2, 20],\n [14, -5, 4, -15, -17, -14, 0, 12, 25, -23, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62196", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, 21, -21, -2, -15, 7, -3, -16, 17, 2],\n [13, -9, 18, 0, -1, 10, -14, -23, 24, 3],\n [18, -2, -7, -13, -10, 14, 1, -20, 16, -16],\n [12, -18, -8, 6, -9, 16, -24, 18, -6, -16],\n [-17, 22, 13, 15, -1, -1, -2, -20, 4, -16],\n [13, 5, -8, 17, 7, -7, -3, -21, 0, 3],\n [-2, -20, 13, -22, 22, 16, 0, -11, -13, 14],\n [-4, -13, 13, -9, 10, 13, 22, -1, 8, -5],\n [-1, -1, -4, -3, -1, -12, -12, 0, 14, 4],\n [0, 12, -4, 13, 13, 8, -1, 10, -13, 3]]\nB =\n[[16, -17, -11, 5, 18, 1, 5, -16, 25, 11],\n [-19, 6, -15, 22, 19, 2, -22, 22, 19, 5],\n [3, 7, -22, 21, 0, 5, 5, 1, -1, 22],\n [10, 23, 5, 17, 11, 19, 18, -3, 9, -22],\n [2, 16, 15, 16, -13, -25, -14, 17, 14, 0],\n [20, 20, -3, 23, -4, 25, 2, -9, -20, -12],\n [24, -9, 12, -21, -13, 22, -17, 18, 16, 0],\n [-13, -7, 22, -9, -10, 4, 6, -12, 22, -11],\n [-14, 11, -15, -21, -15, 8, -7, 0, 0, -9],\n [5, -7, 18, -6, -3, -1, 2, 11, -14, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43245", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-25, -24, -16, 8, 6, -1, -16, 24, -25, 6, 11],\n [-14, 23, 25, -8, 4, -13, -23, -5, 16, -12, 14],\n [-16, -24, 19, 11, -15, -25, 0, 16, -13, 2, 10],\n [-5, -16, -14, 20, 1, -23, 2, -24, 2, 25, 5],\n [17, -5, -19, 24, 5, -12, 13, 13, -17, -3, -14],\n [3, 12, 13, -4, -22, 22, -19, 14, -18, 9, -17],\n [25, -13, 13, -6, -5, 21, -7, -24, 18, 14, 4],\n [-3, 14, -13, 7, 6, 2, -2, 16, 2, 4, 15],\n [3, 8, 25, -4, -1, -12, -16, -16, -18, -12, 19],\n [12, 6, 19, 6, -23, -6, -13, -3, -7, -10, 10],\n [9, 21, 21, 24, -19, 11, -18, -1, -3, -16, 4]]\nB =\n[[7, -15, 9, 1, -23, 21, 23, 24, -18, -13],\n [16, -23, -6, 20, 19, 9, -13, -6, -2, -17],\n [4, -1, -10, -18, 18, 2, -14, 25, -2, 23],\n [3, -11, -8, -19, -13, -7, 22, 17, -21, 0],\n [-24, 7, 22, 11, -1, -1, 13, 4, 15, -22],\n [-7, 1, 21, 13, -2, 24, 11, -1, 3, 5],\n [19, 9, 2, 12, 18, 24, 24, -22, 2, 5],\n [-3, -12, 2, -12, -25, 17, 6, 15, -8, -21],\n [16, -11, 16, -10, 10, 10, 14, 4, 12, -3],\n [-15, -1, 19, 25, 17, -24, 9, 21, -2, -13],\n [16, 11, 4, -15, -3, 20, 2, 3, -11, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64992", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-23, -17, -18, 21, 7, 8, -17, -9, 15, -25, 14],\n [-21, 4, -15, 2, 12, -9, 24, -3, -8, 11, 1],\n [-1, -21, -7, 1, -13, -19, 0, -12, 1, -18, 5],\n [9, 1, -22, 16, -22, -8, -3, 6, -14, -6, 21],\n [19, -14, -18, -4, 1, 15, 15, -9, 6, 7, 5],\n [-20, 13, -17, 16, 6, 10, -10, -14, 15, -23, 1],\n [1, -17, -9, 20, -21, 0, -5, -25, -25, 9, -17],\n [-3, 12, 15, -22, -7, 11, -21, 2, 20, 16, 22],\n [-3, 12, -3, 20, -8, 3, 2, -17, 13, 24, -16],\n [-24, -13, 12, 1, 15, -6, 14, -16, -10, -11, -13],\n [24, 12, -6, -2, 15, 24, -19, -3, -2, 3, -21]]\nB =\n[[17, 19, 9, -25, 10, 25, -8, -20, -3, -16, -19],\n [18, -18, -13, 4, -8, -12, -15, 16, 12, -13, 16],\n [18, 7, 24, -13, -1, -2, 3, 10, -20, -8, 2],\n [-21, -8, 11, -19, -17, 9, -14, 20, 14, 18, 13],\n [-2, -17, -14, 10, 11, -17, 13, 20, -4, -9, 7],\n [21, -2, -11, 3, 6, 7, 3, -11, 1, 8, -22],\n [23, 22, -8, -5, 22, -18, -20, -6, -24, 25, 19],\n [-4, -5, -20, 6, -20, -13, -25, -4, -2, 15, 4],\n [-4, 18, -14, 0, -22, -7, -10, -14, 7, -5, 10],\n [-17, 13, 16, 19, -18, -6, -16, 6, 2, -16, -18],\n [21, 7, 21, 23, -13, 18, 9, 25, 3, -21, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5941", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 15, -20, 22, 16, -10, 9, -8, -15, 25, -3],\n [21, -15, 3, 16, 1, -17, 9, -17, -8, 18, -5],\n [22, 10, -25, 1, 19, 14, 12, 3, 14, -7, -2],\n [18, -25, 10, -3, -13, 4, 23, 25, 25, 11, -15],\n [-19, 9, -15, 23, 17, 21, 25, 14, 22, -5, 21],\n [-23, 4, -2, 12, -23, 11, 7, -4, 5, 20, -14],\n [19, -12, -14, 1, -13, -2, 12, 21, 22, -17, -18],\n [11, -11, -19, -2, 23, -10, -2, 17, -19, 17, 2],\n [-24, 8, 12, -23, -25, 5, -3, -6, -10, 20, 6],\n [-9, -8, -22, 9, 14, 10, -3, -11, -13, -12, -12]]\nB =\n[[11, -21, -4, 2, 19, -22, 24, 12, 3, 11, 9],\n [-6, 9, 9, -6, -24, -8, 4, 16, 3, 13, -4],\n [3, 20, -16, -6, -10, -20, -9, -20, -4, -8, 6],\n [2, 16, -16, 15, -4, 2, -11, 17, 3, -19, 24],\n [8, 6, -24, 0, 19, -15, -1, -7, -6, 7, -9],\n [4, -8, 6, 14, 19, -22, 6, -7, -23, 12, 2],\n [12, -20, 14, -9, 16, -21, -7, 17, 16, 9, -4],\n [-2, -16, -24, 2, 15, 11, -9, -20, 17, -21, 13],\n [-19, 6, -22, -5, 16, 6, -8, 7, -12, -20, -15],\n [20, -6, 3, 9, -10, 22, -19, 14, 10, 18, 18],\n [5, 16, 18, 17, 17, 21, -20, 3, 1, 17, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10339", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -17, -15, -10, 19, -13, -8, -1, 7, -16, 4],\n [25, 23, -25, 7, 23, -11, 3, -24, -15, 8, 15],\n [-7, -24, 22, -6, 15, 5, -22, 3, 4, -13, -11],\n [-6, 8, 2, -6, 24, -1, 1, 4, 15, -6, -25],\n [9, 23, 17, -2, -1, 14, -14, -15, 4, -13, 21],\n [-1, -1, -9, -14, 25, -15, -16, -9, 19, -10, -6],\n [23, -21, 15, 6, 1, -22, 15, 22, -19, 20, -12],\n [13, -2, 22, -8, 12, 13, 25, 14, -25, -9, 0],\n [25, -4, 13, -8, 12, 2, -5, 12, 7, 4, 16],\n [-18, 4, 13, -17, 7, 17, 3, 5, -23, 24, 12]]\nB =\n[[-15, -21, 5, -6, -22, -18, 16, 9, -13, 23, -21],\n [14, -7, -8, 7, -22, -8, 20, -2, 17, 3, 5],\n [2, -17, 19, 0, 23, 21, -24, -20, 3, 0, 2],\n [-19, 8, 19, -16, 22, 15, 14, 21, -4, 1, 13],\n [-4, -7, 10, -17, -7, -24, 2, 13, -4, 25, -20],\n [21, -19, -20, 7, -12, -25, -1, -20, 2, -8, 1],\n [23, -24, 14, -5, -3, -24, -10, -22, 8, -21, 23],\n [8, -4, 20, -6, 13, 21, 24, -13, 18, 8, 18],\n [-20, 3, 7, -25, 21, 22, -19, -4, 6, -12, 25],\n [-2, -7, 1, -3, 19, -5, 18, 3, -25, 5, 1],\n [18, 10, 1, -11, -1, 22, -11, 14, -7, 21, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8554", "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, 7, 15, -3, -14, -24, 17, -5, -12],\n [8, -11, -5, -3, -5, 24, -12, -5, -14, 16],\n [20, 21, -21, -24, -4, -20, 18, -24, 3, 10],\n [-19, -10, 7, 7, -12, 17, -14, 17, -20, -14],\n [5, -14, -16, 14, 1, 25, -19, 20, 10, 7],\n [1, -18, -21, -18, 14, -5, -2, -19, -7, 5],\n [10, 1, 3, -3, -6, -20, -14, 24, -14, 24],\n [-23, 16, 13, 9, -7, 19, -22, 5, 16, 12],\n [7, -20, -18, 2, -11, 5, -18, -20, 3, 25],\n [20, 8, -19, 14, -16, -13, -4, -5, -25, 15],\n [16, -24, 3, -15, 11, 24, -19, 9, 4, -10]]\nB =\n[[-11, 14, -6, 2, 11, -23, 3, 11, -17, 1],\n [6, 22, 20, 24, 13, 5, 21, 0, 14, -23],\n [-15, 3, 1, 24, 21, -16, 9, 21, -3, -20],\n [-15, 17, 25, 1, 5, 4, -23, -13, 14, -5],\n [17, -15, 19, -23, 12, 5, -2, 16, 25, -14],\n [20, 17, 1, -5, -1, 4, 4, -16, -23, -13],\n [1, -8, 19, -2, 20, -12, 13, 18, -22, -10],\n [25, -16, 22, 11, 1, 22, -25, -21, -13, 19],\n [-23, -9, -7, 11, -21, 21, 16, 18, -2, 17],\n [7, -5, -23, -22, 25, 6, -2, 9, -8, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62051", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[13, 0, -2, -25, 25, 24, 8, -14, -9, -5],\n [-5, -23, 18, 2, -1, 18, -20, 16, 4, 6],\n [-4, 12, -12, 8, 17, 21, 0, 14, -13, 4],\n [-7, 16, 15, 24, 13, -23, 5, -14, -11, 19],\n [12, 14, -12, 9, -10, 24, -2, -9, -8, 16],\n [-9, -10, -5, -2, 8, 10, 17, 1, 13, -9],\n [-1, 25, 12, 16, -5, -22, -1, 4, 7, 13],\n [0, -1, -10, 23, -2, -21, 16, 13, -13, 4],\n [-19, 21, -9, 1, 9, -21, 16, -21, -2, -19],\n [-19, -12, -11, -21, 11, -22, 4, -6, 0, -17]]\nB =\n[[4, 18, 22, -4, 14, 15, 18, 4, -6, 2],\n [-19, -22, 2, 9, 7, -19, -17, 8, 13, 16],\n [8, -13, 3, 9, 19, -16, 4, 18, 0, 9],\n [2, 3, -20, -23, 3, -24, -4, 20, 21, 24],\n [1, 25, -4, -16, 23, 23, -7, -2, 1, 10],\n [17, -9, -16, -9, 18, -16, -16, 12, -9, 0],\n [0, 25, 8, -22, 24, 1, -5, 10, 12, 20],\n [5, -19, 18, 8, -8, -2, -13, -13, -1, -21],\n [13, 3, 18, 20, 7, -2, -16, -1, 15, -16],\n [13, -10, 2, -14, 18, 6, 25, 3, 19, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-613", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 0, -23, 0, 13, -25, 9, 1, 20, -22],\n [-7, -4, -20, -17, -15, -4, 21, -17, 3, 17],\n [-16, 8, 5, -4, 20, -22, -24, -21, 20, -11],\n [-7, 12, -11, 20, -18, -6, -14, -22, 12, 17],\n [13, 10, -11, -25, 5, -17, -3, 0, 14, 18],\n [13, -8, 7, 15, 13, -12, -25, -13, -11, 11],\n [-21, -12, -12, 20, -21, -15, 6, 25, -21, 10],\n [-11, -19, -21, 4, -11, 4, -12, -2, -2, 9],\n [-21, -14, -6, 20, -21, 10, -5, 22, 13, -23],\n [3, -1, 1, 10, -4, 12, 9, -25, -23, -2]]\nB =\n[[-18, 22, 13, -8, 15, -23, -8, -10, 6, -25],\n [0, 22, -14, 12, -5, 15, -13, -14, -13, -8],\n [-7, -7, 25, -20, 22, -19, -19, 2, 2, -7],\n [-10, -9, -4, -7, 22, 3, 22, -7, 21, 9],\n [21, -1, 22, -6, 11, -7, 16, -13, 21, -14],\n [23, -11, -22, -11, -9, 1, -15, -3, -11, 5],\n [0, -19, -13, -13, -6, 8, -16, 24, 11, 25],\n [1, 8, 10, -10, -5, -10, -9, -11, -13, 7],\n [-21, 1, -25, 18, 4, -3, -11, 10, -7, 4],\n [-10, -8, 0, -9, -15, 19, 3, -17, 23, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-844", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 11, -4, -18, -23, 12, 9, 6, -18, 18],\n [1, 6, 10, 8, -1, 5, 16, 21, -13, -11],\n [25, 24, -13, 7, 5, -1, 22, 14, -3, 12],\n [-23, -10, -24, -3, 8, 4, 21, -16, -25, -4],\n [21, 7, -1, -4, -10, 4, -8, -2, -21, 11],\n [-3, 16, 1, -14, -16, 8, 7, -10, 3, -8],\n [1, -19, 10, 1, -16, -16, -15, 4, -23, 3],\n [-12, -13, -7, -1, -16, -11, 2, 14, 23, 12],\n [-19, -12, 4, 14, -14, 2, 24, -12, -25, -22],\n [23, -8, 25, 10, 6, 2, 2, 12, 6, -18]]\nB =\n[[-1, 21, -6, 7, 4, 11, -10, -1, 12, 16, -16],\n [-21, -18, 7, 11, -25, 5, -19, 21, -3, -2, -12],\n [-3, -17, -18, -18, -23, 6, -22, 23, 12, -24, -17],\n [20, -25, 23, -15, 3, 0, 1, 12, 3, 7, 2],\n [5, -7, 22, 0, 24, 3, -15, 15, 6, -5, 12],\n [8, 14, -4, 22, 1, -18, 14, 20, 5, -25, 13],\n [8, 21, -2, 2, 24, -22, -8, 3, -3, 11, 1],\n [-10, 19, 1, -17, -21, -18, -8, 9, -20, 17, -3],\n [20, 0, 25, 13, -2, -16, -11, 12, -6, 3, -20],\n [22, -17, 25, 24, -21, 22, 13, -7, -21, -6, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4470", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[24, 1, 3, -19, 24, -23, -21, -13, -10, -14],\n [13, 1, 19, 7, -11, -5, 18, -9, 11, 23],\n [-11, -6, -7, -25, -22, -23, -18, 15, 18, -21],\n [-17, -25, 17, 4, -19, -4, -6, 3, 1, -1],\n [20, 9, 1, -15, -9, 5, -8, -7, 24, 12],\n [3, -11, -19, 11, 11, -19, -4, -14, -18, -8],\n [2, -8, 5, -9, -3, -15, -11, 4, 5, -20],\n [-14, -3, 13, 14, 10, 9, -23, 16, 2, -11],\n [-13, -7, 14, -8, 5, 11, -5, 13, -21, 25],\n [-9, -7, -22, 0, -2, 13, 12, 20, -7, 4],\n [0, -15, 13, -23, -4, -9, -15, 21, 13, 21]]\nB =\n[[1, 23, 17, 3, -14, -13, -15, 5, -15, 15],\n [17, 10, -24, -3, 10, -12, 11, 23, 1, -14],\n [3, -20, 18, 21, -3, 25, -16, 8, 18, -14],\n [6, 0, -19, 6, 7, -8, 9, -6, 5, -21],\n [6, 21, 16, -7, -25, -19, -4, 24, 8, 25],\n [-16, 21, 16, 0, 6, 16, 1, -14, 14, -3],\n [-12, 8, -9, -20, 1, -18, 7, 9, 21, -9],\n [0, -19, 20, -2, -1, 9, 0, 24, -21, 21],\n [12, 9, 4, 24, -1, -2, 4, -6, -23, 6],\n [-18, 25, 24, 21, -3, 20, -10, 9, -1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2427", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[25, -18, 8, -1, 23, 18, -7, 17, 24, -13, 20],\n [-14, -11, -3, 14, -24, 14, -3, -21, 8, -16, 1],\n [16, -22, -22, -18, -20, -1, 1, 21, 24, 14, -6],\n [1, -19, -3, -6, 23, 25, 8, 3, 18, 25, -21],\n [1, -14, -9, 11, 8, 4, 10, -20, 6, 6, -17],\n [-4, -16, 3, -15, 2, -24, -5, 5, 15, -9, 1],\n [4, 15, -18, 11, -21, 0, -20, -10, -25, -17, -5],\n [-19, 17, -11, -2, -21, 25, 12, 3, 20, 20, -15],\n [-22, -16, 8, -22, -16, 7, 20, -8, -14, 25, -3],\n [18, -1, 11, -22, -13, -8, 3, 18, 4, 22, 12]]\nB =\n[[2, -19, -2, 15, -16, 11, 1, -5, 10, 17],\n [25, 3, -19, -13, 19, -3, 24, -1, 15, 19],\n [-13, 11, 4, 0, -14, -25, -8, -5, -2, -9],\n [16, -17, 14, 2, -11, -13, 2, -9, -17, -5],\n [4, -15, 4, 10, -1, -19, -6, 9, -16, 9],\n [-25, -12, 19, -21, 14, 18, 12, 8, -2, -22],\n [1, -21, 17, -13, 14, -5, 11, 6, 12, 5],\n [6, -11, 22, 4, 17, -19, 12, 5, 18, 0],\n [10, 20, 17, 0, 18, -24, 17, 19, 17, -17],\n [22, -21, 1, -14, 9, 3, -10, -7, 23, 17],\n [25, 1, -8, 15, -13, 4, 0, -20, -23, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-14, 15, 15, -11, -25, 24, 21, -18, 5, -15],\n [-9, 1, 5, 1, -12, 25, -3, -21, 4, 8],\n [21, -7, 5, -10, 19, 1, 0, 13, 3, 23],\n [25, 13, 18, 19, 3, 19, 20, 21, 5, -24],\n [-20, -17, -11, -6, 22, -24, -23, 4, -18, 14],\n [-5, 13, 17, -13, 14, 15, 22, 11, 6, -12],\n [-25, 1, -2, 25, 23, -4, -12, 19, -18, 1],\n [-23, 7, 25, 21, -5, 6, 14, 15, 19, 18],\n [15, 6, -2, -15, 11, 25, -5, -8, -15, 1],\n [17, 12, -25, 3, -5, 3, -17, -19, 12, 5]]\nB =\n[[1, 16, 6, -21, 7, -11, -21, -6, 12, 11, -9],\n [24, -22, -5, 8, 14, -21, -22, -4, -12, -22, -18],\n [-23, 20, 3, 0, 24, 4, -14, -11, 15, -24, -25],\n [21, 21, 2, 14, 9, 8, -22, -8, -14, 24, -5],\n [-16, -5, 14, -1, 24, -9, 25, -20, -12, 11, 14],\n [14, -8, 4, -17, -12, 20, 20, -9, 8, 20, -4],\n [6, -14, -10, -4, 12, 24, 13, -24, 19, -18, 18],\n [-25, 15, 14, 15, -21, 19, 20, 10, -9, 15, 4],\n [-11, -6, 10, -24, 19, -22, 24, -2, 22, 16, -24],\n [20, -24, 24, -25, -13, -20, -4, -9, 23, -4, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1484", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-20, -23, 20, -20, -9, 9, 23, 25, 24, 11, 21],\n [9, -3, -18, -19, 24, -16, 0, -16, -7, -3, 5],\n [7, -24, 2, 6, 7, -17, 3, -11, -8, -8, -19],\n [-12, 3, 24, -7, -21, 15, 24, 19, -21, -11, 0],\n [-2, -7, -6, 17, -17, 2, -10, -15, 8, -1, 14],\n [-5, -21, -15, 17, -17, -15, 11, 15, -25, 0, -16],\n [14, -7, -10, 19, 11, 24, 15, -22, -12, 4, -19],\n [-14, -2, 13, 17, -4, 21, 4, 13, -6, 0, 23],\n [-21, 14, 16, -20, 8, -21, -16, 2, -23, -13, 22],\n [21, -24, 9, 24, 21, 2, 11, -3, 17, -3, 9],\n [15, 13, 6, -24, 21, 18, 22, -10, -10, 25, -23]]\nB =\n[[2, 3, -6, 10, 7, -4, -18, 21, -2, 11, -6],\n [-14, -6, -6, -22, 4, 5, -4, -11, 12, 11, 2],\n [-15, -12, -15, -17, -2, -16, 12, 17, 15, 11, 16],\n [6, -6, -12, 12, -22, -2, 6, -16, 17, -10, 13],\n [6, -8, -1, -19, 21, 25, -8, 21, -8, -23, -25],\n [7, -19, -16, 18, -18, 6, -3, -9, -12, -9, -1],\n [-5, -20, -6, 23, -6, 0, 6, -18, 19, 22, 18],\n [3, -9, -8, 14, -8, -15, 19, -14, -11, 0, -23],\n [-23, 12, 9, -17, 17, 14, -22, -6, -11, 3, -21],\n [13, 14, -19, -18, 6, 10, 7, 11, 6, 17, 10],\n [8, 23, -1, 18, 6, -24, -17, 12, 3, 12, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6594", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 9, -11, -19, -13, 16, 10, -10, 15, -5],\n [2, -16, -7, -9, -25, -13, 10, 21, 16, -6],\n [15, 14, -20, -3, 16, -2, 23, -21, 6, 20],\n [-9, -15, 1, -22, -3, -3, 23, 8, -5, -4],\n [-25, 6, 2, -8, -19, 12, -20, -12, 4, 18],\n [20, -12, 18, 15, -17, 5, -24, -8, -21, 0],\n [-3, -14, -12, -13, 9, 21, -11, 9, -7, -11],\n [25, -18, -3, -13, -3, 5, 4, 16, -24, -15],\n [-1, 3, -4, -7, -17, 15, 12, 3, -16, -4],\n [-2, -18, 21, -20, -19, -6, -9, 10, -18, -13]]\nB =\n[[-2, 20, 24, 5, -3, -9, 24, 20, -2, 17, -16],\n [5, 19, -6, -10, -12, -23, 4, -8, -20, -6, 9],\n [-7, 0, 9, -14, -18, 11, 23, -16, -5, 23, 15],\n [19, 16, 3, 5, 14, -19, 8, 8, 4, -22, 15],\n [4, -1, -12, -2, 17, 5, 13, 2, -1, -7, -22],\n [8, 6, -1, -4, 2, 25, -8, -19, -15, 16, -15],\n [-17, 9, 11, -3, 7, -25, -6, -21, 3, 0, 25],\n [12, -23, -5, -13, 5, -9, 9, -3, -23, 19, -24],\n [-23, -6, 22, 18, -17, 22, -22, -1, 24, -25, 13],\n [-14, 14, 14, -2, -17, 20, -6, -21, -6, -5, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55334", "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, 16, -2, -17, 13, 4, -8, 18, 17, -16, 19],\n [15, 22, -5, -4, -9, -21, -20, -16, 17, -24, -19],\n [20, -22, 11, -7, 2, -6, 4, 16, 12, -24, -23],\n [21, 16, 23, 13, -1, -24, 13, -11, -23, -21, 14],\n [10, 24, 25, 14, 12, 11, 1, -21, -9, 12, 19],\n [15, -14, 16, 5, 7, 17, 3, 12, -23, 12, 15],\n [14, 4, 21, -4, 12, 6, 17, -16, 6, 17, -22],\n [3, 19, -18, -6, 21, -19, -25, -1, 0, -17, -3],\n [14, -24, 0, -12, 18, 5, 0, 23, -7, 12, -21],\n [-20, 9, -10, 5, -8, -12, -1, -11, 0, 10, -15]]\nB =\n[[11, 15, 11, -19, -8, 24, -6, -24, 0, -3, 6],\n [-13, -13, -9, -1, -4, 1, -9, 0, 12, -12, -12],\n [-14, -21, 11, -22, 3, -1, 19, -22, 24, -10, 24],\n [-24, -3, -22, -6, -9, -20, -8, -6, 13, 19, 15],\n [8, 14, 20, -2, -8, 4, -25, -3, 3, 15, 15],\n [6, -24, 22, 10, 19, -9, 17, -24, -22, 18, 8],\n [-25, -3, -20, -10, -24, 20, -14, 1, -7, 2, 9],\n [25, 17, -22, 23, 23, -19, 11, 25, -1, 25, 15],\n [-9, 15, -12, 11, -24, -2, -11, 22, 25, 7, -14],\n [-7, 21, -21, -25, 17, -17, 13, 8, 3, 23, 22],\n [22, 20, -24, -7, 2, 9, 14, 25, 22, -4, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75628", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-18, -25, 10, -19, -1, 3, -25, -8, -22, -6, 20],\n [-18, 1, 24, 13, 9, -1, -12, 18, 21, 14, 5],\n [-21, -9, -16, 17, -10, 22, -22, -21, 16, 20, 15],\n [24, -6, -20, -15, -9, 15, -23, -10, 10, 0, -2],\n [21, 8, -6, -9, 25, -6, -10, 25, 23, -22, -8],\n [10, 9, 4, -8, -5, 6, -21, 15, -3, 4, 1],\n [-11, 15, -12, -5, 8, 0, -1, 24, 19, 5, 22],\n [-20, 22, -22, -2, 16, 5, -7, -15, 3, -21, -8],\n [-23, 14, -15, -5, 4, -7, -1, 9, -14, 21, 0],\n [22, -21, -7, 1, 12, 3, -14, -7, -17, -8, 3],\n [-23, -3, 4, 20, -2, 11, 11, -22, 2, -10, -13]]\nB =\n[[-18, 22, -1, -24, 4, 14, -23, -3, 3, 15],\n [4, -15, -5, 1, -2, 5, 4, -25, -25, -18],\n [22, 16, 8, -10, 1, -22, -7, 3, 15, -23],\n [-15, -18, 13, 7, -18, -1, -2, 0, 0, -9],\n [1, 3, 17, 13, -17, -12, -21, 24, 4, 2],\n [19, 11, -18, -11, 2, 10, 7, -20, 25, -14],\n [-19, 19, 2, -19, 15, -25, -2, 19, -7, 6],\n [4, -25, 6, -6, -5, -7, 4, 24, 2, 6],\n [4, -3, 1, 11, 0, -23, 5, -24, -16, 12],\n [-7, 5, 3, -1, 6, -9, 25, 19, 23, -3],\n [-8, -15, -6, -13, -2, 17, -6, 25, 16, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2126", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 10) when matrix A is multiplied by matrix B?\nA =\n[[9, -5, -20, -19, 3, -3, -21, -4, -17, 6],\n [-16, 20, 17, 23, 2, -15, -19, 4, 17, 19],\n [25, 12, 8, 20, 2, 6, -10, 13, -25, 8],\n [15, -3, 24, -6, -8, -8, 16, 14, -5, -18],\n [8, 24, -15, 17, 25, 17, -16, -18, 21, -18],\n [-7, -25, -23, 18, 6, 22, -10, 4, 23, 2],\n [2, -10, 15, 25, 7, -1, -8, 0, -20, 12],\n [18, -23, 17, -20, -12, -8, -10, -2, -13, -25],\n [12, -12, -9, -13, -13, -17, -20, -20, 4, 11],\n [20, -12, -22, 8, -24, -9, 16, -12, 25, -9]]\nB =\n[[4, 17, 3, -19, -17, 20, -3, 10, -12, -6],\n [-9, 6, -1, 25, 4, 23, 1, 1, 20, 5],\n [19, 0, -12, 22, -5, 2, -11, 4, -1, 25],\n [-15, 18, -15, 2, -21, 2, -18, 0, -20, 6],\n [22, 6, -14, -20, -13, 13, 14, 18, 8, -3],\n [15, 19, -9, 19, 22, -25, -19, -13, -12, -9],\n [4, 22, 21, 23, 8, 1, -1, 18, 9, -17],\n [-20, 0, 12, 13, 1, 14, 5, -23, -2, -11],\n [-20, -15, 4, 9, 22, 12, 17, 14, 3, -3],\n [16, 16, -23, 0, -12, -7, -5, -5, -17, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-627", "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, 18, 20, 11, 12, 19, 19, -2, 12, 20, -15],\n [3, 19, 18, 22, 12, 15, -9, 22, 0, 0, -14],\n [-8, -17, -23, -16, 17, -24, -18, 17, -8, 13, 5],\n [-12, 13, 7, 3, 18, 7, 9, -24, 9, 6, 10],\n [20, 24, -3, -21, 21, -10, 14, -2, 14, 2, -1],\n [-19, 12, -19, 25, -4, -4, 1, 7, 19, 6, 13],\n [6, -25, -16, 19, -22, 3, -19, 12, -20, -15, -17],\n [4, -4, 13, -17, 12, 25, 20, 7, 0, -10, -17],\n [-3, -11, -7, 16, -10, -1, 9, 25, -13, 20, -19],\n [8, -12, -3, -3, -9, -13, 1, -24, 11, 4, -22],\n [4, -23, -12, -15, 14, -3, 15, 22, 6, -23, 16]]\nB =\n[[-25, -17, 22, -17, -14, -25, -10, 4, -18, 20, 20],\n [-16, 7, 12, 15, 25, -4, -10, -7, -15, -15, -12],\n [13, 0, 18, -6, -6, -21, -25, -15, 21, -16, 21],\n [2, 19, 21, 8, -13, 18, -1, -3, 10, -14, 21],\n [19, -24, -6, -10, -12, -24, 23, -10, -22, 17, -13],\n [12, 23, -25, -17, -5, -8, 17, 6, 20, 8, -6],\n [17, -24, -22, 19, 12, -19, -4, -6, 9, -22, -6],\n [9, 7, 25, -5, 19, -12, 5, -4, 22, 4, 3],\n [10, 23, 16, 3, -19, 6, -13, -13, -12, -20, -10],\n [15, 22, -5, 18, -10, -21, -2, 17, -25, -16, 17],\n [21, 9, 5, -11, -15, -17, -24, 18, 4, -10, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68728", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-25, 22, -20, 20, -15, 7, -9, 25, 8, 20],\n [14, -1, -4, 0, 1, 12, -17, 11, -21, -8],\n [-4, 20, -14, 18, -4, -20, 10, 1, 21, -11],\n [-9, -23, -16, -1, -5, 14, -17, -2, 6, -23],\n [7, 17, 19, -14, 3, -5, 13, 8, 7, 6],\n [-6, -23, -22, -9, 24, -9, -7, -22, 3, -9],\n [-4, -24, 16, -14, 19, -15, 14, 3, -6, -21],\n [-1, 8, -14, 2, 8, -20, -7, -14, -1, -13],\n [-9, -14, -23, -2, -18, 22, 10, 0, 19, -18],\n [6, 6, -25, -23, -25, -11, 24, -6, -23, -11]]\nB =\n[[11, -5, 16, 13, -3, 14, 9, -8, -9, 5, 22],\n [0, -4, 19, 10, 9, -15, 1, 8, -8, 1, -22],\n [-9, -20, 16, -15, -21, -8, -1, -16, 15, -10, -16],\n [-16, 10, -5, -12, -18, -25, -10, 0, 23, 16, -20],\n [13, 24, -24, -17, -21, 14, -21, 21, -18, -21, -21],\n [-9, -17, 8, 7, -4, -5, 17, -11, -25, -19, -3],\n [25, 21, -20, -6, 0, 16, -14, -13, 21, 25, 23],\n [-13, -24, 6, 24, 5, -15, 11, -22, 8, -10, 5],\n [-1, 13, -18, -18, 8, -11, -21, -7, -16, -17, 3],\n [14, 11, -7, -13, 20, 14, -10, 4, -21, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58989", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -9, -2, 2, 16, 11, -4, 13, -10, 9, 1],\n [-14, 20, 2, -25, 13, -8, -3, -4, -22, 22, -15],\n [-8, 22, -19, -5, 9, 11, 24, 4, -9, 7, -10],\n [-11, -13, 13, -23, -2, -3, 19, 22, -25, 6, 7],\n [22, 4, -24, -8, 4, -8, -21, -21, -18, -17, 6],\n [-12, -13, -8, -22, 24, -4, -6, -11, -19, -13, 8],\n [15, 4, -21, -25, 5, 25, -6, -7, 3, 19, 12],\n [-16, 3, 5, -15, -3, 4, -1, -10, -3, 7, 25],\n [11, 2, 1, -20, 12, 11, -20, -1, -13, 7, 7],\n [-1, -12, 14, 15, 16, 12, -17, -8, -11, -22, 8],\n [12, -9, -19, 6, -3, -6, 21, -24, -5, -14, 16]]\nB =\n[[23, 1, 24, 22, -16, -18, -5, -4, -13, 22, 14],\n [-14, -9, 22, -17, 25, 23, 14, -14, -17, 4, -20],\n [-1, 2, -16, 15, 2, 3, 10, -15, -5, 12, 0],\n [-8, -22, 18, 15, -11, -3, 15, -20, 17, -19, 20],\n [22, -11, -17, 25, 4, 18, 17, 2, 4, -18, 9],\n [25, 9, 0, 4, 9, 12, -15, -6, 20, 5, 8],\n [-14, 22, 2, -23, 22, 16, -21, -13, -14, -25, 17],\n [-7, 3, 21, 24, 22, 13, 16, -1, -10, -9, 2],\n [13, 17, 23, -21, -25, -23, 22, -2, 3, -11, -22],\n [18, -25, 23, -11, -2, 5, -6, -16, -15, -8, 8],\n [2, 12, -10, -2, 13, 25, -14, 24, 16, -19, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72579", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the product of the following matrices:\nA =\n[[-9, 23, -22, 11, 7, -7, 0, -15, 5, -25, 14],\n [10, 3, -1, 21, 23, -8, -23, -8, -19, 2, -9],\n [-1, -8, 14, 17, -23, -1, -19, 21, -16, 18, 18],\n [25, -7, -11, -5, -5, 11, 2, 19, 6, 15, 1],\n [-3, -16, 14, 15, -20, -2, -8, -16, -11, 19, 17],\n [8, -18, 24, 9, 1, -1, -23, -5, 13, 6, 24],\n [-5, -17, 24, -25, -22, -22, 23, 0, 8, 1, -11],\n [19, 6, 15, -19, 18, 18, -12, -3, 21, -25, 6],\n [15, 0, 22, -17, -10, 5, -24, 6, -16, -1, -8],\n [19, 8, 3, 19, -2, -23, -11, -23, 5, -16, 12]]\nB =\n[[-4, -12, -17, -8, -18, 12, -11, 20, -11, -20, -14],\n [16, -7, 14, -21, 1, -16, 17, 20, -12, 8, 23],\n [-11, 3, 0, 1, -23, -23, 9, 9, 24, -20, -12],\n [0, -23, 7, 16, -13, 3, -17, 6, -4, -4, 8],\n [-16, -1, -14, 25, -23, -7, 7, 21, 0, -13, -19],\n [8, -4, -6, 17, -3, 22, -12, 4, -3, 21, -7],\n [13, 15, 10, -20, -3, -16, 9, -5, 6, 4, 7],\n [-20, -21, -11, 17, -1, -13, -20, 11, -24, -9, -2],\n [-14, 18, -12, -19, 0, 6, 3, 20, 13, -17, -12],\n [-9, 23, -1, 4, 19, 3, 3, -8, 5, -7, -9],\n [-20, -14, 12, -23, 21, 9, 21, 7, 3, -23, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, 10, 2, 15, 6, -8, 16, 14, -13, -24],\n [-1, -6, -19, -15, -21, 3, -8, -18, 1, 16],\n [-24, 9, 0, -3, -21, -10, 16, -15, -7, -10],\n [6, -14, -24, 17, -4, 0, 7, -2, -21, -5],\n [20, -8, 13, -21, -18, -5, 21, -21, -13, -7],\n [3, -24, 11, 0, 3, -21, 6, 12, 22, -24],\n [-21, 21, 7, 25, 9, -7, -11, 9, -18, 21],\n [-25, 12, -4, -9, -10, 19, -25, -23, -20, -23],\n [21, 4, 21, -15, 1, -4, -20, 12, 15, 20],\n [5, 17, -20, 24, -6, 21, 15, -15, -24, 5],\n [12, 0, 1, 20, 20, 5, -2, -13, -1, 11]]\nB =\n[[15, -1, 3, 5, 17, 13, -24, -14, -21, 1],\n [8, -12, -19, 11, 10, -16, 3, -10, 12, -5],\n [12, 15, 7, 3, 22, -9, -13, -20, -24, -18],\n [6, 10, -17, -3, -19, 5, -5, -25, 20, -24],\n [14, -15, 11, -8, 18, -2, -7, -21, 3, 13],\n [-24, -9, 19, -15, 11, -13, 3, 6, 19, 14],\n [17, -18, -16, -1, -15, 2, 7, 13, 0, -18],\n [12, 0, 6, 20, 2, -19, 9, -24, -4, 24],\n [-4, -23, 20, 24, 19, -18, -22, -11, 18, 20],\n [13, -14, 3, -17, 16, 14, -6, 8, 0, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6873", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -3, -8, -2, 16, 3, 12, 12, -13, 6],\n [-7, -9, -24, -8, 13, 1, -12, -11, -18, -17],\n [-5, 17, 9, -12, 1, -18, 9, -8, -12, -18],\n [23, -18, 11, 18, -24, -9, -13, -12, 15, 15],\n [-17, 1, -6, 12, -14, 16, -4, 11, 24, 13],\n [5, -13, -25, 12, 14, -17, 13, -16, 3, 14],\n [4, -24, -8, 2, 21, 6, -2, 12, -12, -1],\n [-1, 6, 1, 6, 5, 24, -2, 9, 4, 7],\n [7, 20, 1, 7, 7, -22, 4, 18, -11, 3],\n [2, 6, 10, 4, 16, 17, 12, 16, -14, -23],\n [-11, 22, -16, -4, -3, -15, -10, 23, 20, -10]]\nB =\n[[-12, -20, 16, -9, 5, 16, -16, 20, -6, 23, -17],\n [-11, 13, -24, -22, -2, -8, -15, 11, 0, -18, -4],\n [-21, -24, -21, 9, 6, 18, -7, 13, 25, -22, -3],\n [20, -7, 0, 24, 0, -19, 6, 21, 7, 18, 0],\n [-2, 25, -3, 12, 0, 19, 5, -20, 19, 5, 21],\n [22, 14, 19, 19, -14, 25, -9, 0, -23, -11, 23],\n [12, -2, 25, 4, 18, 10, 18, 1, -4, -24, -19],\n [-10, -2, 4, 18, 22, 20, -25, 1, -17, -19, -21],\n [4, 16, 1, -16, -1, -8, -19, 5, 6, 24, 19],\n [-15, -16, -4, 5, 15, 21, -12, -23, -2, -12, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-855", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (11, 7) of the result:\nA =\n[[2, 9, 14, -24, 8, -8, -19, 23, 12, 16],\n [-19, -22, 17, -10, 23, -20, -6, 5, -7, -4],\n [-5, -8, 6, 21, 8, 25, 1, 12, 18, 4],\n [7, 1, -3, 17, -7, 5, -22, -7, 12, 14],\n [-4, -17, 5, -16, -16, 4, -16, 10, -8, 18],\n [17, 22, -7, 17, -3, -22, -14, 23, -2, -13],\n [-22, 1, 12, 13, -18, 0, 8, -17, -16, 25],\n [-25, 22, 24, -18, -16, 17, 23, -1, 5, 13],\n [-23, 13, 12, 9, -18, -25, -21, 25, 1, 19],\n [0, 17, 0, -15, 8, 15, -24, -5, 25, 0],\n [-14, -17, 15, -3, 16, -21, -17, 24, -16, 23]]\nB =\n[[-16, -12, 10, -16, 24, 11, 15, 12, 22, -4, -3],\n [-10, -15, 21, 25, 9, 22, -6, 11, 15, -21, 10],\n [-13, -9, 0, 18, -6, 13, 7, 4, -10, -19, 4],\n [-24, -14, 17, 14, -25, -23, -18, 0, 14, -15, -5],\n [-21, 14, 0, -5, -17, -9, 11, 25, 25, -24, 25],\n [21, 14, 2, 1, 14, -25, 20, -15, 13, -8, 1],\n [21, -16, 10, -5, 2, -25, -12, -6, -17, 19, 1],\n [23, -22, 11, -8, 5, 23, 13, -16, -17, 2, 2],\n [-13, -8, -14, -18, -3, 24, -21, -19, -11, -23, -8],\n [12, 0, 12, 7, -5, -9, 17, -24, -1, 15, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1050", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, -1, 13, -22, -23, 8, 16, -16, 23, 1, 22],\n [0, 1, -25, 18, -6, -1, -16, -25, -10, -15, -22],\n [9, -13, -5, -11, -16, 12, -15, 6, 7, -6, 10],\n [4, -16, -11, 3, -25, -5, -11, -23, 7, 12, -7],\n [-22, -14, -1, 8, -9, -20, -14, -11, -9, -25, -12],\n [-24, -22, -24, 0, 20, 24, 14, 7, 22, 13, -20],\n [4, -4, 1, -7, -16, -20, 0, 16, 25, -23, -23],\n [-20, 23, 24, -16, 12, -13, 12, -14, 20, 23, 1],\n [-18, -21, 10, 12, 17, 4, 11, 3, -4, -12, -16],\n [-15, 9, -3, -18, -5, 11, 2, 5, 2, 16, 1],\n [14, -5, -17, 3, -11, 7, 11, 21, 10, 25, 2]]\nB =\n[[-16, -3, 2, 8, -21, -8, -20, 16, 21, -3, 2],\n [15, -13, 24, -1, -19, -24, -10, -24, 10, -24, 23],\n [12, -16, -12, 1, -11, -5, -14, 25, 17, 7, 14],\n [-4, 12, 18, 22, -8, 18, -24, 3, -19, 5, 15],\n [-8, -17, -18, 7, -21, 22, -12, -13, -15, -6, -3],\n [19, 1, -11, 4, -10, 19, 14, -8, 25, 21, 16],\n [-3, 10, 12, -18, 13, 3, -14, -8, 24, -7, 10],\n [7, -21, 13, 2, 0, 17, -5, -3, -5, -15, 16],\n [13, -10, 7, 1, -25, 18, -10, -21, 20, -8, 15],\n [8, 18, -1, 16, 8, -11, -22, 25, -22, -1, 15],\n [-13, 16, 20, -1, -23, 9, 22, -17, -12, -4, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7070", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-17, -2, -3, 11, 19, -11, 10, -12, -6, 13, 10],\n [1, -9, 0, 15, -22, -23, -7, 15, 14, 13, -19],\n [10, -7, -14, -6, 12, -14, 3, 4, -6, -22, -24],\n [21, 4, -3, -20, -8, -4, 11, -22, 17, -15, 15],\n [9, -15, 8, -17, 5, 16, 6, 17, 9, 23, -15],\n [-9, 25, 10, -24, -2, 20, -11, 2, -23, 3, 19],\n [-13, 24, -4, 5, -19, 22, 22, 0, 5, 12, 12],\n [-22, 9, 7, -23, -7, -17, 20, -7, -7, 0, -13],\n [-4, 22, -18, -2, 0, 22, 15, 15, -23, -19, 24],\n [-24, 7, -14, 22, -14, -16, 15, 1, -8, -22, 14]]\nB =\n[[-3, -5, 10, 4, 22, -5, -3, -5, -18, 13],\n [-13, 14, -4, -19, -2, -21, 24, 0, 25, -16],\n [-15, 14, 12, -15, 22, 4, -22, -24, -13, 13],\n [-9, -3, 19, -16, -13, 16, 13, 16, 3, -10],\n [-23, 10, -22, 10, -10, 15, -20, 16, 2, 10],\n [-3, -14, 16, 5, -14, 6, -1, 25, 3, -7],\n [-4, -2, 7, 10, 19, 14, 20, -10, -24, -18],\n [-13, 4, -25, -14, 23, -19, 22, -12, 16, 9],\n [2, -14, 14, 22, -2, -25, -9, 12, 2, 7],\n [-2, 21, 19, -20, -5, 19, -22, 7, -16, 10],\n [-13, 10, 22, -17, 5, -22, -6, -18, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-863", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-17, 17, -2, 11, 15, 14, 4, 0, -22, -25],\n [-6, 2, 19, -2, 2, 2, -21, 6, 4, -5],\n [16, -10, -18, -14, 6, -1, -23, 0, 10, -9],\n [1, -4, 19, 12, 9, 20, -19, -23, -20, -13],\n [20, -11, 0, 22, 7, -11, 13, 15, 21, -12],\n [-7, 2, -2, 24, 15, 7, -14, -16, -19, 20],\n [-25, -11, -25, 19, -6, -24, -23, 10, -10, 3],\n [18, 10, 18, 13, -23, 11, 18, -14, -6, -3],\n [-4, 6, -19, -4, 18, -24, -12, -10, -2, -19],\n [-22, 11, 20, 15, -21, -24, -21, -23, 16, -18],\n [0, -16, 8, 20, 10, -14, -6, 3, -12, 22]]\nB =\n[[-21, 22, 1, -22, 3, -23, 7, 4, 10, -17, -25],\n [22, -3, -23, 6, -2, -20, -13, 23, -11, 4, -14],\n [14, 22, 9, 2, -22, -19, 21, 17, -10, -4, 20],\n [19, 15, -1, 24, -23, -4, 5, 11, -4, 1, -24],\n [-4, -9, 22, -6, -2, 19, 5, 17, -18, -21, -24],\n [-22, 9, 8, -23, 22, -6, -17, -20, 21, -21, 15],\n [12, 9, 5, -13, 0, -4, 6, -11, -15, -10, 21],\n [-20, 20, -15, -16, -10, -14, -19, 13, 1, -2, 24],\n [-11, -20, -7, -18, 21, 10, 24, -13, 7, 6, 2],\n [14, 25, 23, -16, 7, -25, -5, -21, -25, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "893", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, 19, -17, -10, 2, 14, 20, 23, 10, 13, 23],\n [-2, -10, -12, 22, 8, -2, 21, -15, 19, 10, -25],\n [21, -14, -5, -17, 13, -23, -10, -22, 0, 20, -13],\n [-6, -7, 1, -24, -16, -1, -7, -11, 13, 21, 23],\n [-2, -10, -9, -10, -8, 23, -22, -24, 23, 23, 5],\n [-24, -24, -11, 22, 17, 3, 8, 14, 6, -5, 4],\n [-2, 18, -12, 2, -12, 18, 8, -12, -1, -14, 15],\n [14, -6, 22, 16, -19, -11, -17, -22, 5, -3, -20],\n [2, -14, 21, 25, -4, -2, 8, -7, -2, -6, 8],\n [21, 1, 18, 3, -25, 20, 10, 17, 13, 19, 20]]\nB =\n[[-19, 17, -6, -6, -1, 17, -5, -17, 1, 2],\n [-1, 10, 8, -24, -17, -7, -11, -5, 24, -10],\n [-24, 0, 18, 3, 7, 8, 20, 1, -19, 23],\n [-11, -9, -17, -13, 6, -24, 6, 21, -6, 17],\n [-7, 20, 1, 10, 4, -15, -10, 0, 4, -24],\n [8, 15, -4, 5, -5, 10, 14, -3, 0, -8],\n [-11, 8, -4, 2, 17, 23, -19, 14, 16, -2],\n [9, -13, 23, -13, 5, -7, 3, -4, 15, -5],\n [-10, 4, -21, 15, 15, -20, -5, 16, 24, -15],\n [-2, 2, -11, 13, 20, 14, 25, 21, -7, 24],\n [-9, -23, -23, 13, 2, 5, 16, 23, 21, -18]]\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[[-9, 9, 10, 1, 14, 19, 7, 24, -15, -5, -20],\n [22, -5, 25, 2, -9, -8, -15, 20, 18, -1, 4],\n [-1, -19, 23, 11, 20, 1, 0, -13, -2, -14, -12],\n [-17, 5, -22, -7, -25, 3, 19, -20, -25, -1, 1],\n [-4, -9, 3, -23, -9, -24, 6, -4, 13, 7, -4],\n [21, -22, 12, -13, -3, -13, -6, 7, 8, 12, 3],\n [6, -15, -8, 19, -5, -14, 13, -6, -19, 1, -19],\n [-24, 17, 7, -5, 3, 6, 19, -14, -13, 13, 18],\n [23, 14, -23, 13, 25, -18, 20, 20, -24, -20, 22],\n [15, -11, 25, 21, -14, 15, 22, 6, -20, 1, 21],\n [-13, -3, -16, -12, -23, -14, -1, -25, 6, -2, 22]]\nB =\n[[16, -17, 24, -25, 16, 13, -16, 18, 17, 15, 4],\n [-21, -22, 19, -18, -10, -25, 23, -11, -2, -11, 24],\n [-20, -24, -21, 25, 13, 15, 8, 13, 6, 3, 3],\n [-2, 20, 5, -2, -11, -14, -6, -22, -13, 15, 18],\n [-16, 15, -3, -19, -14, 22, -11, -19, -18, -19, 17],\n [-22, 24, 25, -19, 19, 15, 4, -8, 4, -19, 22],\n [-3, 11, -19, 12, 3, 8, 13, 15, 19, 23, 23],\n [21, -8, 21, 17, -1, 1, 1, -14, -3, -9, 18],\n [-19, -2, -19, 3, 2, -3, -16, -10, 17, 22, 8],\n [-1, -24, 24, -21, -12, 5, 14, -20, 2, -17, -20],\n [-9, 14, 9, -14, 19, -8, 17, 8, 20, -25, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14779", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, -4, -8, 23, -25, 20, -6, 22, 10, 12, -1],\n [-10, -6, 12, 21, 7, -19, -3, -15, 7, 14, 20],\n [-21, 19, 21, 15, -18, 25, -9, 25, -8, 24, 1],\n [5, -22, -24, -21, -9, 13, 6, 3, -10, -25, -14],\n [-7, -17, 22, -19, 4, -11, 18, -22, -20, 12, 21],\n [9, -24, -21, -18, 25, 4, 22, -7, 4, 5, -10],\n [12, -4, 7, 24, -4, -18, 11, -14, 24, -21, -1],\n [3, -13, 0, -4, 3, -14, 22, 20, 17, 2, -17],\n [-16, 22, 25, 16, 0, 10, 14, -15, -20, -22, 1],\n [-2, -21, 24, -23, -19, -2, -4, -14, 9, -9, -23]]\nB =\n[[-15, -20, 17, 10, -9, -4, -25, 18, -23, -10],\n [9, -12, 23, 25, -19, 0, 17, 22, 5, -2],\n [-7, 11, -25, -1, -16, -8, 16, -25, 3, -13],\n [-22, -14, 22, -7, 0, 18, 12, -10, 18, -1],\n [-16, 11, 2, 2, -1, -1, 25, -14, -18, 10],\n [13, -2, -3, 11, -15, -9, 2, -23, -24, 25],\n [3, 8, -12, 7, 22, 21, -8, 3, -24, -15],\n [5, 23, -13, 18, 0, 8, 24, -16, -14, 23],\n [-4, 20, 5, -7, 19, -2, -1, 9, -18, -21],\n [-4, 2, -14, 7, -10, 0, -14, -3, 23, 0],\n [15, -13, -3, 5, 10, 1, 10, 21, 16, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1770", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[12, -23, 4, 6, -11, 12, -15, -24, 0, 8],\n [-25, -15, -21, 0, -20, 9, -21, -17, 2, -7],\n [-21, -3, 18, 18, -10, -19, -12, -4, -17, 21],\n [-3, 17, -22, 17, 0, 15, -20, 5, -9, -17],\n [1, -20, -20, -22, 17, -23, -2, -8, 6, 22],\n [-5, 22, 3, 6, -1, -14, 20, -17, -19, -12],\n [-6, -6, -16, -15, 13, -7, -7, 17, -20, -18],\n [-25, -3, 14, 11, -16, -24, 10, -24, -11, -6],\n [16, -5, 4, -2, -24, 12, -4, 3, -12, -21],\n [-2, 0, -24, 20, 19, 8, -3, 15, 9, -11]]\nB =\n[[-23, -14, 12, 25, -9, 12, 1, -7, 23, 22, -5],\n [14, -2, -2, -7, 5, 14, -6, -11, 14, 9, 22],\n [9, 7, 14, 15, 18, -8, -9, -18, -6, -15, 4],\n [1, 13, -12, 16, -11, -14, -6, -9, 14, 0, -12],\n [-1, 0, 21, -1, -1, 1, 17, -14, -6, -10, -1],\n [1, -8, -16, 25, 24, 4, -25, -22, -3, -19, 4],\n [0, -25, 3, -1, 14, 0, -9, 5, -18, -21, -25],\n [-11, 10, -19, 20, 18, 1, 9, 1, -6, -8, 14],\n [-24, 4, 12, 4, -19, 13, -13, 7, 14, 4, 4],\n [-3, 19, -2, -6, 2, -7, 23, -13, -10, -11, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51199", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 10) of the result:\nA =\n[[-14, -4, -1, -23, -2, -1, -17, 2, 20, 4],\n [-19, -15, -16, -23, -7, -24, -9, 3, -24, -10],\n [23, -16, -22, 17, 0, 23, -2, -14, -5, 16],\n [-10, 10, 9, -17, -20, 18, -25, -12, -2, -16],\n [-8, 19, -17, 1, -7, 10, -23, 12, -17, -16],\n [-17, -9, 16, 12, 22, 23, 17, -6, -19, -22],\n [-16, -5, -12, -1, -9, 2, -12, -13, 8, 15],\n [-23, -22, 18, -11, -6, -18, 24, -21, -24, 2],\n [-4, -17, 2, 20, -25, 10, 23, 16, -24, 12],\n [0, 5, 25, 15, 25, -7, 5, -17, -23, 12],\n [-20, 23, 19, 19, -19, 15, -1, -1, 24, -25]]\nB =\n[[-4, -6, -13, 14, -5, -3, 15, 7, -17, 3, 6],\n [-15, 10, 3, 22, 5, -12, 24, -1, 0, -4, -17],\n [7, -3, 9, -6, 7, 9, 20, 4, 20, 4, -4],\n [19, -25, -11, -1, -6, -19, -10, -3, -5, -25, 21],\n [-6, 21, -7, -20, 12, 6, -25, 4, -10, 1, -8],\n [-13, 18, 24, 2, -16, -12, 3, -15, 24, 1, 18],\n [-9, -23, 5, -5, 7, -25, -20, 25, -22, -4, -13],\n [18, 4, 14, 0, 13, 13, -19, -12, 0, -8, 25],\n [-2, 25, -1, 24, 6, -20, -10, -23, -5, 6, -24],\n [21, -6, -15, 25, -8, -15, 9, 10, 12, -14, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 4, 18, -22, -24, 18, -13, 0, 3, 22],\n [10, 2, -18, -21, 6, 4, -12, 21, 17, -16],\n [-16, -20, -10, 0, -5, 10, 15, 16, 4, -21],\n [-16, 22, 5, -15, 12, -19, -14, 19, 23, 15],\n [-18, 2, -10, -23, 11, 6, -5, 19, -8, 22],\n [20, -15, 24, -18, -14, 25, -24, 15, -4, -17],\n [-12, -11, -15, -13, 2, -1, 11, -20, 11, 7],\n [-1, 24, -3, -18, -9, 5, 0, -15, 4, -15],\n [-23, 14, 14, -5, 9, 2, -4, 16, 25, 20],\n [-8, -3, 0, 9, 3, 20, -15, 16, 20, -25]]\nB =\n[[-10, -1, 12, -8, -10, -7, -10, -21, 1, 18],\n [-20, 8, -10, -3, 17, 18, 6, 17, -3, -6],\n [-7, 3, -18, 3, -8, -21, -14, -16, 21, 11],\n [-9, 6, -22, 5, 0, -14, -8, -18, 6, -6],\n [23, 14, -13, -3, -23, 9, 13, 24, -5, -19],\n [0, -3, 6, -24, 13, -24, 13, 20, -11, -10],\n [0, -18, -10, -5, 13, -15, -2, 10, -8, -3],\n [-13, 23, 18, 24, 16, 13, 18, 18, 19, -25],\n [-19, 22, 22, -5, -10, 22, -12, 17, 25, 17],\n [-24, 5, 13, -17, 15, -12, -16, 22, -2, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27566", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 8, -6, 2, -22, 8, -22, -20, -4, -22, 24],\n [-21, -15, 19, 9, -7, -15, -15, 1, -24, 21, -18],\n [8, 14, -6, -3, -11, 22, -13, 5, 23, 20, -12],\n [-25, 1, 7, 9, -11, -21, 11, -22, 20, -6, 13],\n [-4, -2, 21, -15, 20, -20, 1, -16, 13, -16, 20],\n [0, 11, 7, 25, -18, 25, 23, 25, 2, 22, 10],\n [14, -1, 10, -13, -19, -25, -17, 2, 10, 20, 4],\n [-17, 4, 9, 21, 1, 3, -21, -25, 17, 25, -21],\n [3, -9, 25, 23, 11, -2, 1, -17, 12, -13, 0],\n [-15, -2, 7, 23, -20, 9, -10, -13, 18, -15, -3],\n [-24, 4, -7, 14, 19, 20, 21, 23, -11, 16, 7]]\nB =\n[[18, 15, -21, -4, 1, 21, 9, -7, 13, -19, 13],\n [8, 8, 1, 18, -21, -22, -19, 22, -23, -5, 8],\n [23, -17, -6, 14, -14, 13, 20, 2, 22, 7, -16],\n [-15, -19, -8, -7, -12, -9, -3, -7, 19, -23, 8],\n [-1, 15, 5, 13, -12, 11, 21, -6, 6, 7, 5],\n [-19, -21, -22, -15, -7, 12, -6, 1, 3, -8, 11],\n [21, -1, -6, -20, 10, 23, -11, -8, 12, -1, -6],\n [-4, 25, -14, 15, 14, 21, 7, 3, -24, 0, 6],\n [-23, 4, -7, -16, -1, 20, -7, 17, -5, -20, 25],\n [-12, -18, -24, -8, -4, 4, 10, 2, 9, -24, 10],\n [-8, 17, -17, 2, -18, -18, -21, -13, -19, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68303", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 19, 22, -12, 11, 25, -22, -4, -15, 8, 19],\n [-10, -17, -10, 13, -10, 5, 5, -13, -21, 21, 13],\n [-8, -6, -24, 14, 4, -16, 16, -15, 3, 14, -10],\n [22, 2, -9, 12, 24, 23, 18, -11, 5, -19, 20],\n [4, 10, 23, 0, -15, -20, 16, 3, 2, -11, 3],\n [-20, 22, -14, 25, -10, 20, 12, -17, -4, 7, 0],\n [14, -19, 20, 6, 14, 17, -2, 15, 25, 13, 12],\n [24, 11, -7, 17, -21, 4, -1, 4, -1, -17, 1],\n [-2, 14, 17, 12, -11, 12, 0, 4, -15, 3, -11],\n [18, -17, 16, 3, -11, -9, -10, -4, 14, 23, 17],\n [-15, 12, -1, 4, -24, -25, 12, 11, -17, -21, 24]]\nB =\n[[-2, 1, 4, 25, -11, 21, -17, 20, 11, 4],\n [23, -11, -6, 23, -1, -17, 19, -4, -13, 11],\n [2, -12, 4, 13, -21, -14, 9, 15, 16, -25],\n [20, -25, 16, 17, -6, 8, 8, -2, 2, -15],\n [-18, 9, 15, -10, -10, 16, -20, -6, -15, -18],\n [-6, 6, 7, -20, 2, -18, -12, -23, -24, -4],\n [7, 17, -5, -20, 14, -19, -20, 24, 18, -18],\n [-2, 1, 25, 2, -21, -7, -17, -1, 18, 21],\n [19, -13, 11, -24, 25, 14, -12, 5, -20, -1],\n [13, 20, 5, 12, -10, 1, 4, -22, 13, -10],\n [10, -19, -5, -24, -18, 16, 1, -24, -20, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5305", "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, -25, 12, -14, 1, -12, -11, -2, -8, -9],\n [-17, 21, -8, -8, -21, 22, -17, 9, 18, 20],\n [-25, 15, -17, 6, -6, -13, 14, -15, 20, 22],\n [17, 25, 16, 0, 14, -15, -1, 14, -1, -6],\n [16, 23, -15, 18, -16, 23, -23, 13, 1, 9],\n [23, 14, 5, -5, -4, -7, -12, 11, 25, 19],\n [24, -3, 0, 17, 18, 14, -14, -25, 24, 8],\n [18, -7, -3, -19, -19, -25, -8, -18, -1, 16],\n [3, -3, 3, -25, -11, -11, 2, 10, 16, 14],\n [6, 20, -13, -5, 23, 13, 12, -17, -6, -6],\n [-18, -12, -6, 9, 19, -5, 15, 15, -4, 17]]\nB =\n[[-20, 18, 1, -22, -22, 2, 1, -9, 13, 12, 3],\n [14, -19, -18, 15, 7, 6, 9, -8, 25, 17, -10],\n [-8, 12, -1, 8, -22, -21, -12, -25, -4, 20, -5],\n [-13, 22, 10, 3, 12, -17, 7, -4, -9, -3, 10],\n [-20, 22, 13, 3, 1, -21, -17, -2, -7, 7, 4],\n [14, -22, 6, 23, -25, 8, -5, 5, -12, 0, -4],\n [8, 7, -13, 6, -18, -4, 15, -6, -5, 8, 23],\n [4, -20, 9, 1, -6, 23, 12, 14, -12, -16, 16],\n [-11, 14, 17, 22, -23, -11, 19, 5, -15, 20, 13],\n [-7, -11, 12, -6, -4, -19, -12, -22, -17, 13, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53520", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[21, 9, 11, 23, 1, 2, -2, 7, 7, -10],\n [-3, 20, -15, 20, 14, -7, 8, -3, -16, 11],\n [21, -25, -24, 25, -4, -9, 21, -2, 24, -5],\n [14, 3, -12, -18, 4, -4, -3, 14, 25, -13],\n [2, 4, -21, -16, 13, -17, -12, 12, -16, 7],\n [-15, 14, -20, -9, 10, -20, 21, -16, 23, 16],\n [-21, -7, -19, -2, 25, 16, -7, -15, -23, 4],\n [17, 12, -20, 21, 9, -4, -15, -18, 1, 3],\n [-18, -3, 3, -10, 9, -18, -18, 19, 7, 16],\n [-21, 11, -9, -4, -12, 12, 6, -12, 18, -6]]\nB =\n[[-4, 4, 7, -21, -8, 20, -19, 3, 21, -17, 21],\n [22, 15, -19, -19, 23, 17, -20, 20, 21, 14, 1],\n [-22, -25, -20, 5, -25, -21, -7, -21, -21, 23, 5],\n [18, -19, -11, 25, -13, -14, -7, -13, 1, 12, 7],\n [-20, -13, -13, -13, -6, 10, 11, 19, -17, -9, 9],\n [-8, -1, -11, -3, -25, 15, 12, -8, -25, 13, -16],\n [5, 12, -19, 12, -18, 8, -17, -1, 1, 15, -19],\n [6, -17, -9, 9, 22, -10, -24, 17, 5, -10, 21],\n [7, -5, -9, 9, 25, -19, 3, -15, 4, -8, 20],\n [-10, -20, -24, 17, 17, -16, -22, 23, -16, -17, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17912", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[17, 16, -2, -21, 9, -22, 9, 16, -13, 11, 6],\n [19, -25, -15, 0, -23, 23, 25, -13, 6, 22, 24],\n [-3, -3, 25, 4, -20, -19, 21, 4, 11, 22, 6],\n [-20, 9, 6, -14, -22, 6, 9, 22, -10, 25, -11],\n [15, -24, -20, -12, 15, 3, 16, 0, -8, 21, -22],\n [11, 12, -1, 21, 3, 8, -10, 11, 4, -3, 10],\n [2, -25, -18, 16, -11, 8, -7, 18, 4, -16, 18],\n [1, -6, -1, -17, 14, 8, -5, -2, -19, -22, 25],\n [-18, -13, -5, 9, -21, -18, -24, -2, 16, -10, -22],\n [4, 20, 4, 9, 16, -13, 11, 23, 23, -15, -7]]\nB =\n[[-8, -9, -15, -11, -18, 18, 3, -9, 0, -21],\n [-22, -2, -15, 4, 14, 22, 22, 9, 18, 19],\n [7, 10, -5, 12, -21, -21, -5, -1, -16, -7],\n [6, -8, 8, 22, -11, -2, -21, 6, -17, -21],\n [-21, 15, 15, 8, -19, 0, -25, 8, 0, 6],\n [-14, -20, -6, -7, -10, -22, 6, -8, -21, 24],\n [-20, -12, 23, -8, -16, -3, 25, -8, -22, 6],\n [21, -20, 0, -20, 9, 15, 17, -21, -12, -24],\n [25, 14, -13, 25, -21, 21, 10, 10, 24, -7],\n [-6, -4, 5, 15, 21, 18, -22, -23, 11, -1],\n [23, 11, -22, 13, -19, -19, 23, -1, -11, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[21, -22, 8, 19, 18, 16, -7, 21, 23, 12, 1],\n [-21, -13, 20, -12, 4, 21, 22, -16, 6, -25, -2],\n [3, 17, -19, 5, -9, 4, -1, 2, 10, -19, 9],\n [-6, -12, 24, 24, 4, -25, 12, 15, -1, 8, -18],\n [-6, 4, -22, -5, 1, -16, -3, 7, -15, 15, -7],\n [-15, -22, -3, -21, 23, 24, -21, -8, -9, -23, 17],\n [23, -18, 14, -3, -3, -24, 13, -5, -2, 12, -6],\n [24, 13, 24, 1, 18, 13, -19, 7, 3, -16, -16],\n [-14, -23, -23, -13, 19, 5, 1, -20, 1, 9, 21],\n [-17, -20, -20, 14, 0, 17, -7, -10, 15, -3, -15],\n [-10, 3, 12, 23, 22, -6, -5, 2, 24, 7, 24]]\nB =\n[[14, 0, -16, 8, -17, 10, -15, -16, 20, -19],\n [25, 12, -10, 25, 0, 6, 5, 25, 6, 19],\n [-14, 1, -4, -11, -18, -22, -18, -3, -10, 22],\n [8, -4, 23, -3, -21, 11, 18, -19, 11, 0],\n [2, -22, 23, 6, 12, 20, -17, 10, 0, -15],\n [-6, 22, 22, 22, 12, -11, 9, -17, 7, -15],\n [-4, -20, 11, 24, -5, -14, -19, -24, 13, 15],\n [-2, 0, -1, -6, 14, 15, 16, 18, -24, 16],\n [9, 7, -9, -4, -25, 11, 4, 20, -20, 15],\n [-12, 10, 7, 12, 13, -20, 0, -2, 7, -18],\n [18, 17, 8, 8, -2, -24, -18, -1, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6438", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -19, 22, -2, -17, -10, -24, 9, 8, -4],\n [-7, 23, -5, -14, -15, -7, -20, 16, -12, 7],\n [21, 12, -13, 0, -12, 19, -2, 22, -25, 20],\n [19, 4, -16, -16, 2, -22, -12, -14, 12, 21],\n [11, -16, 15, 1, 16, -14, -4, -22, 3, 10],\n [19, -12, -14, 19, -6, 19, -3, -4, 8, -5],\n [25, -17, -16, 23, -16, 19, 4, 7, -24, 23],\n [6, 19, -9, 2, 19, -9, 25, -12, -16, 8],\n [-12, -9, 11, -4, -8, 9, 22, 25, -8, 4],\n [11, 14, -20, -11, 9, 0, 15, 1, 4, -15],\n [-2, -12, -3, -17, 16, 21, -8, 25, 13, -7]]\nB =\n[[-21, -8, 7, 18, 12, -13, 23, -17, 0, -25],\n [-14, -2, -25, -22, -19, 2, 11, -21, 13, 6],\n [23, 5, 18, -11, -23, 23, 20, 21, 21, -11],\n [25, 17, -8, -5, -16, -5, 0, 15, -23, -25],\n [-5, -15, -10, 9, -5, 15, -15, 5, 23, -25],\n [15, 6, -23, 6, 16, -21, 17, 11, -14, -12],\n [18, 25, -17, -19, -10, 2, -19, -12, 6, -18],\n [1, 24, -23, 1, 4, 8, 0, 11, 14, 25],\n [-4, 6, 15, -24, 21, -18, 16, -19, -7, 7],\n [-24, -23, 2, -12, -11, -5, -12, 14, -8, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66963", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[13, -6, -25, -17, -17, 17, 25, 12, 13, 3],\n [-11, -6, 12, 15, 4, 21, 0, -20, 13, -9],\n [-20, 2, -17, 1, 9, 20, -20, -22, -10, -3],\n [22, -3, 3, 15, -22, 14, 14, -2, -20, 14],\n [-20, -12, -12, 24, 19, 21, 9, -20, -3, -6],\n [-9, -6, 22, -20, 14, 2, -13, 3, 19, -6],\n [-9, 9, 19, 13, 11, 17, -3, -8, 10, -6],\n [-19, 10, 16, -25, 23, 11, 23, 9, 15, -23],\n [9, 3, -17, 11, 16, 21, -1, -14, 12, -19],\n [-19, -22, 19, 21, 5, 24, 24, 13, -16, 22],\n [-3, 0, -3, 3, -18, -7, 3, 17, -20, 3]]\nB =\n[[-2, -16, 25, -12, -20, -22, -11, 11, 22, 13, 2],\n [-24, -13, -24, 15, 6, -21, -23, -24, -12, 14, 18],\n [23, 3, 22, 12, -20, 24, 8, -18, 20, -24, 0],\n [-9, -2, 5, -10, 24, -5, 12, 0, -9, 24, 20],\n [16, -22, 24, 17, 22, -22, -7, 12, -1, -18, -8],\n [25, -8, 22, -19, -9, -23, -4, -11, 5, 10, 0],\n [22, -12, -9, -17, -19, 20, 1, 2, -14, -9, -17],\n [18, 18, -18, 1, 16, -14, 11, -6, -25, -17, 21],\n [-2, 8, 10, -22, 3, -3, 9, -10, -18, 1, 13],\n [-14, 18, -22, 21, -1, -20, -23, 13, -2, -5, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3103", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 7) of the product matrix AB given:\nA =\n[[7, -18, 7, 22, -23, -24, 12, 14, 13, 13, -2],\n [-5, 25, -8, 9, -15, -15, -23, -3, -25, -3, -4],\n [16, 4, -24, -9, 15, 24, -6, -17, -15, -9, -12],\n [-8, -8, 18, 24, -18, 3, -18, 0, 2, -18, -6],\n [21, -18, -12, -13, 14, -9, 25, 0, -20, -9, -22],\n [-1, -19, -9, -4, 2, 24, -20, 4, -16, 24, 13],\n [-12, 20, 16, -4, 15, 0, -16, -24, -23, 22, 16],\n [-15, -16, -14, -12, 4, 15, -13, 4, 12, -15, -25],\n [1, 21, 13, 17, 23, 11, -17, 22, 17, 0, -1],\n [-9, -20, -11, -23, 5, 2, -17, 18, 25, -8, 22]]\nB =\n[[14, 6, -7, -21, 18, -20, -14, 21, 16, -9],\n [13, -19, -15, 8, -24, -12, -8, 22, 17, -17],\n [13, -22, 22, -12, -15, 4, 14, 17, 1, 3],\n [6, 23, 4, 0, 4, 25, -16, -14, 7, 8],\n [-8, 13, -10, 19, -22, -16, 2, 15, -8, -17],\n [-4, -16, 14, -3, 17, -13, -2, -13, 22, 19],\n [-1, 18, 21, 3, -10, 14, -20, -18, 8, -8],\n [17, 6, 23, -16, 8, -3, -7, -6, 8, 12],\n [-9, 18, -21, -24, 15, 8, -6, 20, 21, -24],\n [2, -8, 18, 13, 22, 25, 9, -11, 21, 13],\n [14, 13, -23, -7, -3, -7, -8, 4, 13, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-21, -13, 8, -2, -8, -22, 10, -18, 17, -25, 15],\n [12, 10, 12, -13, -4, 3, -17, 1, 20, 18, -22],\n [14, -9, 11, -23, -22, 14, -10, -15, 1, 0, 5],\n [8, -18, 13, -25, -24, 1, 19, 17, -23, 8, -10],\n [-25, -19, 9, -4, 22, 6, 0, -20, 20, -15, 5],\n [-5, 25, -4, -25, -5, 19, -6, -17, 1, 3, 17],\n [7, 19, -25, -23, 6, -6, -9, 11, 12, 23, -16],\n [17, 19, 3, 16, 20, 6, -13, 5, -22, 23, -8],\n [-15, 16, -8, 25, 15, 11, 7, 11, -23, -25, -7],\n [-20, -16, 11, -14, 18, -9, 1, -24, -1, 20, 18],\n [2, 19, 11, 11, -9, -21, -7, -22, 13, 23, 17]]\nB =\n[[12, 19, 18, 4, 6, 11, 1, 6, 16, -15],\n [15, -13, 9, -9, 4, -8, 11, 22, 4, 0],\n [-10, -15, -22, 15, -11, -14, 1, 22, -22, 9],\n [-5, 10, -24, 25, 13, 2, 8, 7, 24, -18],\n [-18, 16, 24, -4, 1, 2, -15, 1, -25, 13],\n [2, 1, -18, 20, -2, 25, 14, 25, 10, -2],\n [16, -4, -16, -22, -18, 13, -11, -18, 3, 16],\n [13, 25, 9, 15, 22, -12, 6, -19, 18, 7],\n [22, 9, 1, -25, -20, -24, -19, -18, 19, 3],\n [-10, 3, 5, -4, -16, -22, -1, -13, -9, 14],\n [-18, -3, -19, 6, -2, -25, 21, 21, 25, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65999", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 7) of the result:\nA =\n[[1, -20, 16, 5, -14, 0, -1, -22, -20, 20],\n [-13, -1, 5, -4, 9, -5, -11, -23, 11, 19],\n [0, 21, -9, 12, 24, 9, 15, -18, -15, -2],\n [17, -18, 4, -25, 8, -6, 10, 8, 8, -13],\n [-20, 10, -1, 1, 21, 5, -23, 2, -22, -9],\n [12, 8, -6, -13, 21, -21, -2, 25, 12, -9],\n [5, 2, -25, -24, 7, 14, 3, -22, -8, -2],\n [6, -17, 21, -10, -5, 4, -23, 7, 5, 19],\n [-12, -20, -21, 3, 11, 10, -5, -14, 20, -3],\n [-12, 17, 16, -16, 1, 15, -24, -12, -19, -9],\n [-6, -18, -6, 10, -21, -13, 13, 12, -9, -20]]\nB =\n[[-7, -1, -23, 15, 2, 0, 21, -18, -11, -25, 14],\n [-3, 10, 16, -10, 24, -22, -18, 10, -16, 4, 10],\n [-10, 4, 18, -16, -15, 8, -10, -7, 18, -22, 23],\n [18, 5, 22, 9, 8, 0, 13, -20, 7, 21, 1],\n [-14, 19, -18, -17, -25, -21, -19, -8, 14, -2, 0],\n [-16, 14, 18, 22, -14, -4, 1, -23, -8, -21, -12],\n [-1, 5, -5, 22, 12, 22, -6, -12, -6, 11, 20],\n [4, 17, 15, -6, -19, -21, 5, 3, -11, -1, -13],\n [18, -2, -11, -2, 0, -7, -2, -7, 16, -9, 22],\n [-21, -22, -4, -16, -5, -1, -20, 4, 3, -15, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-984", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[22, 20, 1, -7, -4, 2, -22, 11, -7, -9, 24],\n [14, 10, -3, 24, 2, -15, -12, -13, -2, -10, 2],\n [4, 18, 15, 13, 16, 1, -9, 24, 0, -19, 9],\n [-11, -10, -5, -9, 19, 0, 9, -6, -6, -3, -21],\n [-17, -3, -8, 3, -15, 17, 22, -18, 1, -24, -3],\n [-5, -16, 12, -22, -5, 11, 17, -14, 22, 20, -12],\n [-6, 21, -18, 1, 11, 15, -5, 22, 9, 18, 13],\n [23, -11, 21, -14, 8, -18, 11, 4, -23, 4, 3],\n [-25, -10, 16, 5, -16, 4, 17, 0, -14, 14, -21],\n [-17, -15, 21, -3, -9, 17, -13, -9, -3, 13, -17]]\nB =\n[[-8, -8, 4, 16, 18, 0, -8, -5, 15, 15, 16],\n [7, 17, -12, -16, 2, -12, -7, 0, -16, -9, 8],\n [-12, 0, 24, 8, -7, -2, 5, 14, -20, -6, 13],\n [19, 8, -4, -19, 7, -20, -10, -18, 19, -3, -8],\n [-12, 24, 10, -11, -21, 20, 22, -11, -15, -24, -3],\n [-2, -8, -22, -11, -14, -23, 6, 10, -5, 22, -20],\n [-24, -17, -14, 18, -2, -12, 23, 15, -14, 1, -16],\n [17, -24, 5, 2, -10, -25, -4, -25, 5, -4, 8],\n [-14, -3, 2, 24, -14, 1, -3, -25, 17, -24, 18],\n [5, -24, 23, -1, 12, 22, -7, 2, -20, 13, -7],\n [-9, -20, -11, -4, 15, 8, -21, -3, -21, 18, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1080", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-22, -14, 21, -16, 4, 24, -2, -21, -13, 10, -17],\n [-8, 9, 5, -2, 17, -22, 15, 0, 18, 16, -16],\n [15, 16, -17, -25, -10, 20, -13, 12, -12, 14, -3],\n [-8, 2, -6, -25, -14, 1, 17, -13, -22, -1, -20],\n [19, -4, 19, 12, 10, -23, -11, -15, 8, 1, -3],\n [-9, -3, 8, -5, 7, -21, -9, -25, -19, -23, 0],\n [-10, -10, 18, 15, -12, 18, 0, 1, 22, -9, 18],\n [-22, -9, 7, 4, -5, -9, -15, 25, 4, -8, -6],\n [8, 15, 2, -17, 18, 5, 19, -10, 5, 3, -13],\n [-3, -12, 13, -24, -14, 2, 6, 23, -2, 11, 3],\n [16, -8, -23, -13, -13, 16, 3, -24, 2, 22, -22]]\nB =\n[[25, -21, 13, 15, -21, -18, 8, -1, 1, -19],\n [10, 6, -5, 21, -8, -24, 20, 16, -21, 18],\n [16, 24, 12, 2, 5, 18, -2, 7, 13, -14],\n [13, -17, -11, -3, 18, 19, -4, 10, -16, 2],\n [9, 3, -21, -22, 25, -11, 4, 0, -3, 13],\n [3, -4, 9, 22, 21, -8, 9, 20, 7, -19],\n [8, -16, -2, -1, 22, 18, 1, 24, -20, 23],\n [-18, -5, 15, -7, 8, 13, 17, -3, -13, 16],\n [21, 13, 2, -20, -14, -23, 22, -6, 15, 16],\n [19, -18, 0, 12, 2, 9, 18, 15, 15, 17],\n [12, -24, -19, 15, -1, 25, 24, 6, -14, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-500", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-16, 9, 18, -22, 16, -24, 18, 2, 17, 20, 21],\n [-12, 18, 3, -24, 8, 7, -6, 21, 4, 16, 0],\n [-6, -25, -25, -1, 7, -3, -15, 18, -11, -12, -25],\n [7, -20, -3, 0, -23, 20, -20, 14, -1, 21, -9],\n [2, 6, 3, -3, 15, -10, 6, 0, 7, 22, -7],\n [15, -9, 12, -12, -8, -5, 20, 13, 16, 22, 13],\n [2, -6, -20, 0, -20, 13, 0, -9, 14, -24, 25],\n [-5, -19, 18, -6, -23, 10, 17, 18, 25, -7, 4],\n [-15, -13, 7, 12, 22, -24, 20, -3, 24, 23, -6],\n [24, 25, 4, -11, -24, 4, -1, -22, -25, -18, -12]]\nB =\n[[-15, -2, -2, 6, -1, 20, 2, -10, 16, 13, -10],\n [10, -14, -14, 8, 12, -6, 21, -11, -4, -10, -2],\n [-23, -25, 18, 21, 25, 12, 25, -9, 15, -5, 19],\n [21, 22, -13, -24, -24, 17, -1, 2, 22, 23, 0],\n [9, 2, 7, -8, -12, 15, -17, 18, 4, -23, 8],\n [7, 1, -17, -13, 4, -10, 25, 16, 0, -21, 20],\n [1, -11, 2, -23, 15, -25, -25, 25, -20, -15, 24],\n [20, -10, 7, -2, 6, -16, -1, -16, -13, -25, 9],\n [-12, -5, 22, 12, -25, -6, -21, 14, 18, 6, -25],\n [19, 15, 14, 19, -24, 5, 21, 20, 25, 0, -17],\n [25, 4, 20, -18, -21, 13, -22, 14, 10, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 14, 13, -15, -5, 22, -4, 23, 11, -19],\n [16, -13, -6, -11, 12, 8, 10, 20, -1, 3],\n [21, 2, -12, -22, 12, -19, -13, -9, 3, -9],\n [10, -7, 0, 19, -17, -24, -6, -3, -8, 0],\n [-1, -9, 13, 23, -16, -1, 20, 2, 0, -14],\n [18, 23, -7, -3, -12, -9, -11, -5, 12, 4],\n [-7, 6, 3, -4, -6, 12, 12, 10, -25, -7],\n [17, 0, -19, 8, 10, -20, 11, -4, -17, 17],\n [3, 24, -9, -13, -9, -16, -1, -8, 23, 18],\n [-11, 1, -7, -11, 19, -19, 17, 14, -10, -2]]\nB =\n[[-3, -15, -2, -21, 13, 22, 4, -10, -6, 3, -9],\n [-7, 0, -11, -1, -11, -6, 4, -5, 21, 9, 18],\n [-20, 11, -15, -3, 18, 13, -17, -8, 20, 10, 14],\n [22, 10, 2, -7, 4, 12, 25, -11, 18, -14, -24],\n [-17, 9, -25, 20, 5, 2, 19, 11, -19, 20, -10],\n [24, -12, 7, -20, -5, -16, 6, -20, -24, 13, 23],\n [1, -12, -3, 13, -5, 15, 25, 4, -1, -2, -15],\n [9, -22, 11, 10, -13, -17, 2, 20, -10, -20, 1],\n [-16, -3, -5, 0, 19, -23, 17, 9, -19, 1, 16],\n [7, -22, 0, -18, -6, -9, -21, 23, -17, -18, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1027", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, 10, -23, -18, -21, -21, -9, 21, 1, 14],\n [13, 23, -14, 2, -22, 2, -1, 24, 10, 16],\n [-23, 5, 11, -14, 11, 11, -22, 4, 12, 16],\n [12, 1, -4, -25, 22, 17, 12, -6, -8, -20],\n [23, -14, -9, -4, -8, -16, -2, -6, -14, -22],\n [16, -21, 0, 10, -10, -21, 0, -7, -20, -2],\n [5, 5, -19, -16, 13, -4, -12, 2, 16, -4],\n [6, -15, -12, 5, 18, -22, 19, -4, 3, 9],\n [-13, -6, -7, -11, 25, 0, -6, 10, -20, -11],\n [-22, -20, -24, 10, 24, -11, -14, 14, 18, 15]]\nB =\n[[-19, -4, -18, 16, -15, -24, 4, -22, -1, -5],\n [-1, -17, -18, -21, 20, 2, -24, -5, 23, -18],\n [8, -3, -11, 1, -24, 2, -15, 20, -5, 16],\n [6, 6, -19, -4, -12, -13, -5, -4, 8, -16],\n [-25, -25, -2, -23, 5, 17, 25, 15, -13, -22],\n [-3, -20, 8, 15, -8, 10, 0, 7, 7, -1],\n [-9, 25, -23, -4, 23, 9, -22, 2, -13, 4],\n [21, -14, -23, -5, 14, -25, -8, -13, -19, -13],\n [-9, 19, 6, 3, 19, 4, -15, -12, -16, -18],\n [5, -20, -7, -7, -14, 13, 24, -8, -23, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56795", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-20, -25, 16, 14, 3, 23, 9, 9, 4, 9, 13],\n [-4, 17, 2, -8, 6, -21, 8, 5, 20, 7, -22],\n [-12, -11, -6, -6, 23, 9, -22, -8, -2, 1, 7],\n [-1, -21, -8, 19, 20, -6, 9, -20, 1, 2, -15],\n [-17, 2, -7, 13, -5, 5, 16, -19, 11, -1, 2],\n [10, -9, 0, 2, 11, -9, 23, -9, 7, 8, -3],\n [4, 1, 25, -17, -6, -3, 21, -7, 11, 19, -22],\n [-13, 12, -14, -17, -11, -5, -11, 23, -21, -21, -1],\n [-2, 11, 5, 20, 8, 15, -12, 1, 21, -22, -3],\n [12, 20, -21, 1, 17, -12, -19, 20, 19, -8, 6],\n [-24, 15, 17, -6, 3, 17, 0, 12, -25, -21, -12]]\nB =\n[[-1, 22, -17, 4, -7, 14, -18, -10, 24, -18, -3],\n [-17, 6, 11, 8, 20, -8, 19, 18, -11, -11, 3],\n [-3, -3, -25, -4, -19, 19, 6, 2, 24, 6, 7],\n [17, -13, 2, -17, 22, 17, -23, -9, 8, 6, -17],\n [15, 22, -25, 23, 16, -6, -21, 14, 19, -5, -21],\n [-22, -18, -1, -19, 11, 16, 6, -9, 2, -20, 16],\n [22, 16, 10, -24, 5, -25, -23, -13, 5, 3, 18],\n [7, -16, 12, -17, -25, 18, 11, 6, 7, -24, 20],\n [-24, -21, -16, 12, 11, -24, 15, 16, 14, -1, 12],\n [11, -8, 1, -6, 24, 8, 18, -18, -22, 4, 10],\n [-17, 15, -14, -12, 9, -20, 21, -3, 25, -22, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1398", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 10) of the result:\nA =\n[[-17, 22, -17, 18, 20, -11, -2, 22, -18, 2, 16],\n [20, -9, 9, 5, -22, 22, -12, -1, 20, 22, 14],\n [24, -19, 5, 9, 12, -6, -10, -4, 10, -7, -24],\n [-22, 8, -19, 21, 23, -12, 17, 6, -9, 11, -12],\n [-9, 6, -24, 13, -22, 14, 4, 4, 7, 16, -25],\n [7, 10, 23, 5, 11, -12, -20, -19, 14, -2, 24],\n [-22, -1, -23, 2, -3, 10, 22, -13, -4, -1, 17],\n [-2, 17, 11, 7, -12, -2, -4, 25, 11, -3, -20],\n [-7, -14, 0, 3, -12, -9, 4, -19, -5, -25, 23],\n [12, -22, 20, -18, -8, 19, -18, 5, 5, 2, 22]]\nB =\n[[11, -23, 19, -11, -22, 9, 8, 10, -20, -22, 23],\n [4, 13, -8, -4, -16, 23, 3, -3, -22, -7, 0],\n [-19, -13, -23, 14, -15, -10, -6, 25, -3, -3, 6],\n [15, 16, 12, -23, -18, 12, 14, -12, -18, -15, 16],\n [16, 17, 7, -11, 11, -12, 0, -18, 23, -22, 10],\n [-8, 1, -7, -23, -17, 13, -24, -17, -20, 12, 2],\n [22, 8, 3, 22, -23, -10, 18, 9, -15, 17, -3],\n [4, 22, -21, -18, 17, 17, 24, 25, -16, 2, 10],\n [-16, -12, 12, 11, 21, -21, -20, 4, -7, 23, -12],\n [-15, 20, -21, 19, 5, 18, 6, -2, 25, -16, -13],\n [21, -13, 10, -4, -17, -7, -19, -11, -9, 20, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[15, 22, -24, -12, -22, -23, -23, -15, -21, 22],\n [3, 2, -3, 4, -3, 25, 15, -4, 17, -14],\n [1, 14, 20, 23, -11, 21, -3, 18, 15, 18],\n [-7, 18, -15, 12, 14, 17, -23, -10, 6, 12],\n [-17, 15, 12, -21, -25, 9, 9, -14, 10, -5],\n [22, 17, -18, 1, -17, 2, 4, -12, -3, 3],\n [0, -4, -11, 25, -17, 0, -9, -17, -23, -10],\n [-13, 0, -9, 6, -2, 10, -4, -17, -4, 15],\n [24, 20, -6, -23, 10, 7, -8, 10, -16, 10],\n [-5, -1, 23, 14, 25, -17, 22, 1, -11, 6],\n [22, 18, 24, 13, -10, 2, 25, -20, -20, 12]]\nB =\n[[21, -24, 15, 14, -19, 1, 2, -10, 21, -17, -11],\n [8, -6, -12, -15, 4, -23, -24, 24, -12, 3, -21],\n [18, 20, -20, -18, 13, 13, 18, 3, 13, 18, 1],\n [-10, 1, 13, 14, -25, 19, 25, 7, 24, 13, 1],\n [-9, -11, -4, -7, 2, -3, 10, 23, 13, 22, 23],\n [-6, 21, -17, -3, 19, -19, 5, 25, -15, 14, -9],\n [10, 0, 10, -8, 5, 23, 9, 15, 2, 0, -20],\n [8, 2, 18, 21, -17, 3, 8, -14, -10, -19, 5],\n [7, -19, -23, -6, -21, -23, 21, 12, -11, 9, -3],\n [7, -24, 10, -5, -12, -12, 16, -15, -22, 21, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71787", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 11) of the result:\nA =\n[[10, -6, -10, 8, 19, -18, 19, -6, -5, 14],\n [4, 10, -21, -5, 12, -3, -7, -16, 1, 9],\n [-13, -17, -9, 5, 16, 18, 19, -2, 16, 25],\n [-7, 23, 4, -21, -18, 11, 21, 10, -1, 19],\n [23, -21, 7, -4, 21, 16, -1, 17, 24, 3],\n [19, 4, 22, 25, 4, 18, 20, 5, 8, 2],\n [-16, -22, 7, -9, -15, -19, -9, 2, -9, 15],\n [-16, 0, -20, -9, -10, 13, 25, 0, -22, -6],\n [23, 15, -15, -3, 7, 5, -19, -4, -21, 11],\n [-25, -20, 19, 21, -22, 4, 4, -9, -2, 5]]\nB =\n[[2, 19, 17, -22, 13, -7, -2, -19, 20, 22, -17],\n [-4, -24, 1, -10, -21, -14, 0, -11, -23, -17, 2],\n [13, 10, -1, 15, 2, 21, -5, 3, -1, 4, 13],\n [-15, -7, -15, -1, -25, 6, -5, 19, -13, 8, -9],\n [25, 21, -7, -16, 16, -17, 25, -15, 12, 5, -24],\n [-2, 16, 21, -21, 24, 4, 13, 9, 22, -9, 5],\n [-24, -10, -5, 4, -25, -12, -10, -17, 23, -18, -17],\n [8, 19, 7, -4, 4, -19, -8, -5, -21, -19, -14],\n [-9, -2, 11, 18, -7, 19, -10, -1, 1, 25, 16],\n [18, -19, 20, 16, -18, -11, -10, -18, 10, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-301", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -4, 6, -15, 19, -20, -4, -12, 2, 13, -14],\n [1, -25, -16, 7, -10, 13, -20, -1, 24, -6, 10],\n [-3, -10, -25, 4, 1, -24, 22, -5, -17, 21, -2],\n [22, 15, 13, 16, -19, 4, 19, -24, -14, -13, -23],\n [17, 14, 17, -8, 13, 18, -20, 16, 1, -11, -11],\n [-7, 12, 25, 21, -6, -6, -8, 8, 13, 11, 9],\n [12, 12, -25, 25, -14, -21, 1, 13, -6, 14, -7],\n [12, -11, -20, -17, 10, 22, -3, -16, -25, -15, 23],\n [24, -6, 2, -4, -6, 21, 12, -10, -24, -1, 1],\n [-23, -3, 6, -9, 14, -6, 4, 2, 21, 19, -3],\n [-7, -1, -2, -25, 2, 3, 18, 24, 24, 9, 24]]\nB =\n[[-9, -15, 11, -19, 0, -3, -8, 3, 13, 24],\n [8, 12, -18, -5, -5, 23, 10, -9, -10, -11],\n [-11, 14, -9, 25, -25, -13, 12, -16, 7, 0],\n [-14, -7, -11, -21, -24, 25, -12, 3, 15, -25],\n [-13, 23, 6, 8, -12, 12, 12, 24, 25, 15],\n [-11, 13, -20, 3, 11, -7, -25, -5, 13, -8],\n [1, 2, -18, 5, -14, 16, -20, 0, -10, 4],\n [-7, -8, -2, 19, -6, -19, -19, -10, 16, 21],\n [-12, -14, 3, -11, -18, 13, -17, 20, 2, 1],\n [-19, 18, -12, -15, 6, 25, 2, -20, 9, -20],\n [-2, -17, -24, 12, -12, 25, 5, 4, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50936", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[20, 5, 16, -20, 17, 19, -8, -12, -6, -15, 11],\n [14, -22, 18, -20, -3, -18, 4, 10, 16, -15, 21],\n [-21, -23, -11, -24, -24, -18, 20, 4, 15, -21, 4],\n [18, -16, 7, -2, -7, 4, -1, -15, 23, 9, -25],\n [-9, 5, -20, -13, 0, 10, -21, 21, -12, 25, -11],\n [-14, 24, 20, 16, -18, 5, 0, 3, -22, 24, 2],\n [-1, 14, 6, 10, -15, 11, -16, 12, 10, 24, 1],\n [-9, -19, -17, 9, -17, 10, 4, 5, -7, 15, -3],\n [-6, -20, 17, -2, 21, -4, -20, -2, 16, -4, -8],\n [-10, 10, -13, 11, -2, -7, 24, -6, 1, -9, -10],\n [-25, -5, 1, -25, 4, -6, -2, 20, -24, -11, 3]]\nB =\n[[9, -13, -7, -25, 19, 21, -10, 17, -23, 14],\n [-20, 5, -21, 0, 2, -11, -17, -4, 11, -5],\n [16, 3, 0, -20, -15, 10, -6, 18, -6, 1],\n [-20, 7, 4, 24, 8, -21, -10, -14, -14, -15],\n [25, -5, -19, 8, 3, -20, 10, 8, 23, -18],\n [11, -16, -10, -24, -7, -19, -24, 19, -3, 5],\n [-22, -10, -16, 23, -5, 2, 20, -14, -13, 14],\n [-9, -8, -16, 2, -13, 8, 23, -20, -14, 3],\n [-13, 0, -22, -11, -10, -7, 21, 0, 6, -20],\n [-20, -21, -24, -24, 11, -23, -20, 5, 17, -21],\n [24, 20, -16, 1, -2, -4, -1, -23, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[22, 17, -22, 17, 14, -10, 14, 15, 20, -18, -2],\n [-10, 1, -24, -6, 25, -6, -6, -7, 25, -8, -13],\n [-9, 7, 2, -21, 2, -1, -6, -5, -13, -20, 3],\n [16, -17, 3, 12, -25, 4, 24, 6, -3, 13, -16],\n [18, -5, 0, -11, -9, 9, -1, -11, 7, -15, -2],\n [-20, 2, 3, 22, -5, -14, -4, 1, -5, -11, -8],\n [-16, -4, 18, -6, -7, 2, 11, 24, 25, 18, -25],\n [8, 9, 0, 4, -14, -12, 13, -22, -14, -2, 14],\n [5, -25, 11, -25, -11, -13, 3, 19, -22, -11, 18],\n [14, 22, -14, -1, 1, -20, -3, -11, 13, -21, -3]]\nB =\n[[-11, -1, 4, 18, 17, -22, -13, 24, 14, 13],\n [-3, -10, 9, -10, 22, -19, 19, -13, 25, 24],\n [3, 13, -6, 24, 3, -8, -4, 10, 15, 22],\n [10, -18, -23, 3, -17, -18, 4, -14, 20, 2],\n [16, 23, 17, -16, -13, -24, -25, -4, 7, -10],\n [16, 3, -16, 13, -19, -25, 0, 19, -21, 9],\n [-13, 1, -14, 4, 24, 6, 5, -21, 11, -24],\n [12, -19, -25, -23, -6, -24, 16, 17, -5, 19],\n [6, 22, -6, 17, 24, 5, 17, 7, -2, -8],\n [-6, 6, -21, -24, 0, -1, 24, -4, 13, -4],\n [-15, -15, 19, -22, 7, -8, 5, 18, 2, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4494", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 14, -23, -19, -6, 17, -19, -19, 3, 0, 15],\n [-23, 17, -9, 14, -6, 8, 7, -10, -3, -22, 15],\n [14, 7, -18, -21, 7, -1, -19, 21, -19, 7, 15],\n [7, 3, 18, 13, 15, 6, 11, 18, 3, -4, -24],\n [24, -17, 3, 7, -16, 2, 20, 20, 13, -14, -4],\n [-20, 19, 14, -3, 8, 16, 12, -10, -16, 21, -5],\n [-16, -15, -5, -1, 8, 5, 1, -1, 16, 6, 18],\n [-15, 21, 0, 10, 11, 7, 7, 16, 10, -13, -12],\n [25, 11, 17, 14, -25, -21, 4, -8, 19, 11, 13],\n [-14, 8, 19, -12, 12, -10, 16, -15, 7, -11, 22]]\nB =\n[[16, -16, -23, -15, -15, -10, 12, 4, 15, -25, 12],\n [24, 19, 8, -7, 8, 10, -22, -16, -9, -10, -5],\n [2, -18, 3, -20, 4, -24, 21, 5, -1, -3, 17],\n [-5, -10, -22, 17, 20, -18, -20, 1, 25, 10, 10],\n [-2, -20, 17, 7, -24, 15, -10, 12, -17, 25, -21],\n [-16, 4, -19, 3, -24, -6, -22, 2, -18, 9, -24],\n [15, 2, -15, 10, -17, 12, -25, 1, -23, 13, -17],\n [14, 2, -5, 2, 19, -2, -8, 25, -17, 0, -2],\n [-20, -14, 10, -17, -16, -23, 23, 3, -19, 0, -18],\n [17, -13, 9, -7, 20, -4, -10, -11, -24, 12, -5],\n [4, -19, 5, 15, 15, 23, 9, -22, 8, -25, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6863", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 6, -23, -16, -17, -9, 21, -23, 1, 9, -22],\n [-22, 23, 6, 12, -15, 18, 13, 19, -20, 9, 20],\n [6, 20, -3, 16, 11, 0, 8, 12, -15, 24, -5],\n [17, -2, -11, -23, -24, -19, -21, 19, 14, 3, 15],\n [6, 4, -18, 6, 16, -24, -16, 17, 17, 11, 20],\n [-23, -3, 8, -8, 7, 7, -9, -20, -13, -5, 5],\n [-5, 7, 2, -20, -18, -13, 8, 14, -4, -25, -13],\n [-25, -16, -21, -6, -13, 11, -16, -23, 8, 8, 4],\n [11, -22, 8, 6, -5, 15, -2, -17, 15, -2, -1],\n [10, -18, 24, 15, 3, -1, 9, 12, 2, -7, 6],\n [11, 23, 25, 2, 9, -18, 15, -3, 14, 20, -3]]\nB =\n[[6, -16, -9, 9, 9, -23, 10, 3, 23, 20, 1],\n [5, 8, -14, 11, -1, -24, 4, 18, -17, -3, -17],\n [-6, -25, 13, -3, -8, 16, 6, 21, -17, -15, -25],\n [-15, 7, 4, -21, 24, -25, -16, -13, 1, -18, 2],\n [19, -24, -14, 1, -13, -4, 14, -11, 5, -19, 13],\n [23, 25, 9, -19, -14, -12, 8, 13, 22, -17, 7],\n [-14, 8, 1, -4, -8, 20, 18, -8, 11, -19, -22],\n [19, -10, -4, 22, 25, 10, -6, 5, 7, -13, -6],\n [15, 16, 12, -4, 13, -3, 22, 23, 7, 15, 4],\n [-12, 21, 10, -18, 21, -4, -22, 25, 9, -18, 8],\n [-4, -1, -1, 14, 14, -9, -10, 22, 22, 13, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66611", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 9) of the product matrix AB given:\nA =\n[[-9, 9, 7, 14, 13, -8, 4, -3, 11, 21, -19],\n [-16, -10, 2, -3, 8, -8, 21, -3, 25, -6, 5],\n [-12, -3, -24, 3, 24, -17, 7, 22, 18, -14, -7],\n [16, -6, 11, 5, 9, 15, -5, 21, 20, 17, -13],\n [13, 1, -1, -24, 9, -18, 7, -1, -5, 10, -13],\n [20, -17, 9, 20, 10, 23, 21, 18, 20, 25, -16],\n [-21, 5, -2, 6, 23, 23, -23, -10, 15, 23, -6],\n [18, -2, 8, 22, -3, 12, -24, 15, -21, -8, 24],\n [3, -16, 16, 16, 24, -10, -3, 4, -20, 18, 10],\n [-6, -10, 2, 0, -4, -15, -25, -21, 23, 17, 20]]\nB =\n[[15, 16, 10, -24, -20, 1, 0, 9, -13, -14],\n [-8, 12, 16, -20, 2, 2, -1, -21, -11, 21],\n [18, -17, 19, 22, -24, 23, -17, 0, -3, 25],\n [2, -20, -22, 4, 21, -8, 4, 1, 18, 5],\n [18, 23, 13, 4, 11, -14, -9, 8, 2, -22],\n [8, 20, -12, -13, 23, 23, 24, -23, -5, -10],\n [25, 12, 0, -20, -8, 15, 24, -20, 15, 24],\n [-1, 22, -2, 4, -3, 19, 17, -18, 23, -17],\n [-20, 7, 7, 19, -19, 16, -8, -20, 19, 11],\n [-5, 0, -11, 18, 4, -15, -18, -21, -18, -21],\n [-16, -11, 12, 24, -23, 15, -16, -19, 25, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1268", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 10) of the product of the following matrices:\nA =\n[[0, 8, -18, 13, -21, 10, 17, 0, -16, 7, 10],\n [5, 12, 24, -1, 19, -13, -25, 10, 10, 24, -2],\n [1, -8, 24, 21, 24, -11, -9, 3, -21, -15, -10],\n [8, -9, 7, 24, 23, 5, -8, 25, -1, -21, 4],\n [19, -3, 12, 19, -8, 6, 4, 3, 10, -17, -3],\n [-23, -4, 14, 19, 5, -4, -15, 16, 17, -23, -12],\n [20, -7, 5, 10, 6, 0, -25, -24, -20, 19, -12],\n [2, 7, -1, 14, -8, 20, 8, -14, 1, -2, 7],\n [-11, 17, 6, 24, -9, 9, 21, 19, 9, -13, -17],\n [-16, -25, 8, 20, 11, -1, -4, -16, 0, -7, 14],\n [19, 15, 24, -22, 14, -21, 3, 12, -21, -25, 2]]\nB =\n[[-7, 10, -25, 3, 25, 10, 6, -12, 6, 20],\n [-17, -7, -15, 22, 25, -22, 15, -1, -9, 21],\n [-18, 19, -25, -24, -16, 1, 1, -13, -15, -12],\n [6, -10, 3, 12, 8, 0, -21, -7, 13, 2],\n [2, -9, 11, 18, -7, 1, 24, -14, -23, -22],\n [21, 21, -15, 8, -8, 9, -8, 20, -20, 8],\n [7, -18, 16, -6, 24, -6, 17, -8, 1, 22],\n [-21, -19, -4, 8, 17, -13, 6, -2, -10, -12],\n [13, -19, 18, -14, -6, 7, -20, 14, 1, -13],\n [-21, -2, -16, 20, 6, -17, 23, 9, 18, -14],\n [-15, 10, -18, -16, -12, 4, -25, -14, -21, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -9, -4, 5, 0, -13, -23, 17, -15, -21, 12],\n [-22, 6, -16, -16, 18, -8, 21, -3, -8, 9, -23],\n [-25, -9, 16, -20, -15, -12, 23, 2, 13, 10, -15],\n [25, 15, 14, -22, 22, -20, 12, -7, 5, -24, 17],\n [-1, 24, 15, 22, -15, 20, 14, 19, 16, 18, -5],\n [-23, -24, -15, -2, 24, -2, -5, -1, -22, 14, 17],\n [21, -3, -2, -5, -24, -3, 25, -11, 0, 0, 2],\n [0, 19, -24, 9, 6, 4, 20, -6, -13, 1, -3],\n [-10, 5, -14, 7, 12, 19, 6, -24, 24, 23, 25],\n [-3, 6, -11, 14, 15, 14, -18, 17, 24, 23, -4],\n [12, 8, -25, -16, 14, -10, -2, 20, -2, 22, -12]]\nB =\n[[0, 13, -8, -6, 15, 10, -2, 0, 3, 22, -4],\n [-15, 15, 23, -15, -23, -5, -15, -18, 5, -16, -20],\n [-9, 12, -19, 6, -13, -20, -23, 1, 19, 16, 0],\n [-22, 11, -5, 25, 2, -8, 6, 13, 7, 0, -9],\n [3, -6, 4, 24, -21, -20, 16, 25, -16, -20, -16],\n [16, -5, 18, -22, -13, -16, -10, -7, -20, 0, -17],\n [20, -16, 14, -23, 23, -7, 9, 20, -20, 3, -7],\n [24, 18, -11, 12, -5, 18, 25, 13, -3, -6, 16],\n [24, -24, 19, 6, 21, 2, -22, -19, -23, -1, 22],\n [-17, -3, -3, 23, 0, 14, -8, -2, 1, 19, -24],\n [-25, 22, -10, 17, -2, 10, -15, 0, -20, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4763", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[17, -25, -17, 1, -19, -23, -17, -24, -16, -9, 5],\n [-25, -8, -20, 12, 15, 16, 21, -22, 14, -22, 9],\n [-22, -25, 15, 17, 5, -7, -5, 4, -19, -21, -24],\n [25, -23, -11, 13, 11, -16, -17, -3, -12, 19, 7],\n [-10, -6, -18, 23, 12, 8, 5, 19, -18, -1, 15],\n [-13, -8, 24, 15, 8, 10, 24, -9, -14, -10, -13],\n [-15, -12, 16, 2, 25, -2, -9, -17, 20, 4, 11],\n [-23, -18, -8, 4, -23, 8, 17, 2, 11, -1, 4],\n [-19, 20, 3, 25, -24, 0, 15, 16, 25, 23, -19],\n [-8, -20, 15, 14, 1, 15, -2, 7, 5, 8, -4],\n [-2, 10, 2, -6, -8, 16, 6, 7, -16, -17, -1]]\nB =\n[[-13, 21, 24, 19, -21, 5, 5, 8, 0, -19, 15],\n [25, 20, 23, -6, 17, -4, -21, -14, -5, -17, 3],\n [1, -9, 14, -2, 1, -18, 18, 3, -7, -16, -2],\n [8, 14, 5, 20, 25, -22, 15, 19, 5, -17, 0],\n [-13, 22, 0, -25, 14, -17, 5, -2, 19, 23, -4],\n [-17, 13, -3, -6, 16, -5, 1, -21, -9, 8, -17],\n [8, -16, 18, -24, 21, -1, -23, 8, -19, 2, -17],\n [-15, 3, -10, 13, 3, -13, 9, -15, 9, 21, -18],\n [-19, -21, -20, 25, 9, 4, -15, 12, 1, -5, -12],\n [23, 9, 3, -2, 10, 15, 19, 6, -20, -16, -6],\n [-6, 0, -5, 19, -3, 20, -14, -13, -16, -19, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-885", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-14, -1, -24, 14, 0, 14, 25, -21, -18, 16, 19],\n [-17, 13, -6, 25, -15, 14, -4, -10, 16, 12, 16],\n [-16, -1, -7, -22, -7, -23, -9, -12, -16, -20, 5],\n [5, 22, -17, -14, 18, 20, 0, -24, 16, -22, 6],\n [2, -20, 4, 2, -13, 20, 10, -16, -16, -21, 3],\n [10, -14, -4, 20, 13, -24, -12, -16, 22, -23, -18],\n [-9, -22, -5, 4, -7, -11, -6, 16, 4, -16, -3],\n [-2, -14, -17, -11, 3, -8, -6, -25, -23, -18, 13],\n [5, 21, -18, -11, -4, 6, -21, 18, 18, -17, 15],\n [-11, 21, 18, 11, 7, -4, 25, -15, 24, -20, -9],\n [20, 18, -21, 13, 22, -17, 3, -3, 21, 10, 5]]\nB =\n[[-6, -3, -19, 20, 10, -22, -2, -12, -1, -19],\n [-11, 18, 20, -13, -7, -14, 22, 0, 22, 7],\n [-11, 11, -20, -1, -9, 17, 10, 24, 20, -17],\n [2, 9, -23, -15, -6, -3, 4, 11, 10, 18],\n [-14, 10, 9, 8, -22, -2, 10, 2, 13, -24],\n [17, -21, 2, -13, 10, -17, 13, 4, 1, -13],\n [16, 13, 24, 2, -8, 8, -5, -25, 19, -3],\n [8, 10, -17, -18, 24, 4, 22, 10, 10, -8],\n [-24, -15, 10, 5, 5, -2, 20, -5, 6, 23],\n [4, -18, 7, 25, 25, 13, -25, 7, 16, -13],\n [-4, -21, -14, 3, -23, 25, 10, 21, 19, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-478", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -24, 3, 15, 3, 18, 10, -7, -16, -15, -19],\n [-13, 15, 18, -24, 4, -4, -25, 1, -19, -25, -1],\n [22, -22, 4, -18, 23, -5, 25, -22, -22, -18, 16],\n [0, 3, -10, -7, -25, 11, 8, 3, 1, 22, 19],\n [4, -20, 10, 13, -24, 16, -12, -18, -23, 9, 1],\n [8, 2, 5, -9, -7, 16, 18, -15, -17, 4, 19],\n [-20, -12, 5, -15, -21, 5, -24, 13, -9, 12, 20],\n [10, -23, 17, 3, 7, -12, 12, 3, -3, -9, 23],\n [-15, 2, -19, 19, 14, -18, 15, 3, -1, -19, -4],\n [-17, -15, 8, 1, 24, -4, -23, 24, 22, 14, -18],\n [-20, -1, -24, -10, 15, 25, -5, -11, 8, 21, 17]]\nB =\n[[-6, 18, 5, -11, 22, 2, -20, -23, 12, -3],\n [-23, 19, 18, -18, -24, -19, -9, -19, 7, 10],\n [21, -22, 18, -10, -5, -8, 20, 20, 2, 17],\n [-10, 21, -4, -20, 4, 19, 2, -9, 10, -14],\n [24, 14, -14, 10, 14, 3, -24, 3, 4, 10],\n [18, -1, -5, -4, -16, 5, 21, -17, 15, 13],\n [8, 13, 15, 24, -3, -14, -19, 6, -7, -4],\n [-10, -18, 4, 25, -20, -24, 8, 3, 14, 16],\n [17, -6, -23, 22, 9, -18, 25, -14, 24, 19],\n [17, 6, 3, 19, -5, -23, 12, 1, -23, -25],\n [20, -6, -19, 15, -25, -16, 19, -14, -22, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-16, -4, -1, 3, 13, -11, -7, 13, 20, 20],\n [-8, 16, -23, -20, -4, 15, 20, 5, -5, -18],\n [-25, -23, 3, -20, 7, -8, 16, 23, -25, -4],\n [5, -3, -18, 3, 18, 25, 20, -7, 23, -10],\n [-7, 11, -4, -7, -22, -21, -21, -1, -2, -25],\n [24, 2, 21, -5, -7, -3, -12, -20, 6, 24],\n [6, -18, 11, -4, -18, 12, -16, -23, -13, 13],\n [4, -22, 19, -20, -10, -4, 1, -5, 3, -25],\n [4, -2, -13, 4, 0, 8, -6, 25, -20, 17],\n [23, -17, 11, 11, -10, -22, 6, -6, 3, 5]]\nB =\n[[19, -9, 15, -1, 19, -10, -6, 16, -16, 22, -3],\n [7, 17, -13, -1, 24, 11, 10, -2, -20, -11, 8],\n [-22, -12, -22, 2, 3, -8, -6, 22, 15, 6, -18],\n [17, 20, 23, -13, 14, 20, 17, -17, 14, 20, 21],\n [7, -14, 11, -1, 20, -1, -10, 25, -10, 13, 9],\n [-3, -18, 20, -23, -2, 17, -4, -12, -4, 8, 10],\n [5, -5, -21, -7, 16, -5, -24, -23, 21, 25, 4],\n [8, -1, 9, 3, -14, -3, 2, 20, -9, -10, 23],\n [-17, -23, -4, 5, -12, -23, 12, -3, -5, 25, -2],\n [6, 19, -21, 7, 18, 21, -7, 8, -23, 13, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10139", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-15, -16, 14, -24, 20, 19, 13, 1, -17, 13],\n [-25, 7, 12, 7, 22, -23, 6, -13, -5, -22],\n [-9, 16, -22, -6, -14, 0, 19, 10, -10, 25],\n [-19, 7, 22, -24, 7, -12, -6, 11, 1, 21],\n [16, -5, -24, 17, -10, -7, -22, -16, -4, -14],\n [-24, -24, 15, 18, 8, -8, -10, -7, 21, -1],\n [4, 22, -20, 1, -11, 5, 18, -4, -14, -16],\n [-5, 21, 5, 10, -16, -7, -3, 20, -16, 23],\n [1, 17, 24, -24, -15, -18, -7, -10, -22, -12],\n [-4, -9, 17, 0, 9, 10, 19, 23, 4, -5],\n [-6, 16, 0, -14, -18, 9, 3, 16, -19, -16]]\nB =\n[[13, 24, -6, 2, -12, -14, -18, -19, -21, -25, 21],\n [-17, 18, -8, 17, 16, -16, 24, -25, -6, 17, 3],\n [-24, 0, -15, -1, 8, 15, -25, 5, 12, -4, -24],\n [21, -25, -2, 24, 10, 19, 10, 21, 8, -17, -14],\n [20, -6, -22, -11, -22, -21, -16, 18, 18, 14, 10],\n [9, -25, -8, 5, 20, 23, -20, -20, 16, -7, 6],\n [16, 4, 0, -23, 7, 24, 5, 21, -6, -22, 6],\n [-8, -16, -4, 25, -9, 16, -22, 11, -19, 25, 25],\n [-18, -25, -18, -7, -9, 15, 22, -17, 25, -10, 19],\n [25, 11, 1, -24, 10, -14, 24, 9, 5, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1115", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -22, 22, 17, 5, -13, 17, 13, 20, -22],\n [14, 18, -13, 15, -17, -24, 9, -14, -9, -22],\n [-12, -5, 15, -18, 7, 19, 2, -23, -12, -7],\n [-20, 10, -6, -25, -16, -13, -14, -15, 10, -9],\n [21, 3, -23, 3, -16, 20, -7, -22, 20, 12],\n [-14, 5, -24, 23, -25, -9, -1, -21, 22, -12],\n [-16, -5, -1, 9, -23, -8, 24, 10, 13, 7],\n [22, -9, 14, -20, 8, 0, 16, 5, 23, 25],\n [2, 10, -13, -5, 0, 25, 5, -10, 5, -13],\n [4, 6, -21, -14, 13, 15, 11, -22, 16, 22]]\nB =\n[[17, 3, 15, -21, -15, 4, -17, 23, 2, -4, -15],\n [-5, -20, 0, -10, 25, -12, 9, 16, 10, -4, -24],\n [-13, -15, -14, 7, -4, -17, 18, -19, -9, -16, 12],\n [13, 25, 20, -1, 1, 4, 4, 17, 8, 7, 6],\n [16, -14, 15, -3, 3, 17, -25, -6, -16, -7, -3],\n [-5, 17, 9, 22, 6, -16, -24, 25, 10, 22, -20],\n [17, -9, -11, 10, -2, 14, 3, 24, -12, -24, 22],\n [-4, 21, -20, -17, -14, 16, 13, -21, 14, 18, -25],\n [-16, -15, 1, -3, -6, -21, -13, 24, -16, 23, 25],\n [10, 15, 24, -10, -19, 6, -1, 18, 0, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4695", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 4) of the product of the following matrices:\nA =\n[[18, -14, 0, -22, 18, -3, 14, -2, 5, 4],\n [-23, -10, 8, 12, 2, 23, 18, 15, 22, -19],\n [-18, -19, 11, -19, 24, -8, 22, 13, -5, 8],\n [23, 1, -18, 8, -8, 25, 15, -14, -4, 25],\n [14, -4, -18, 16, 2, 24, 21, 6, -15, -5],\n [0, -12, -11, -12, -14, 10, -23, 18, -19, 13],\n [25, 20, -25, 13, -1, 5, -4, -16, -8, -13],\n [-18, -17, -11, -18, 7, 9, -7, 4, -17, -7],\n [21, 20, 0, -25, -23, 8, -1, 4, -25, -8],\n [7, -17, -19, 4, -13, -9, -13, -13, 16, 12],\n [11, -16, -12, 17, -21, 10, 9, 20, 19, -3]]\nB =\n[[-21, 18, 2, -3, 16, 8, 5, -19, -19, -22, 18],\n [6, 2, -22, 13, 19, -18, -12, 4, -23, -24, -16],\n [-20, -19, -10, -20, -10, 1, -14, -4, -11, -4, 9],\n [22, 24, -11, -3, 12, 23, -24, -24, 23, -7, -21],\n [-22, 2, -8, 14, 15, 24, 5, -4, -15, 22, -10],\n [-22, -5, 15, 19, -1, -6, -18, 17, -17, -8, 5],\n [9, 4, -8, -7, 15, -2, 24, -4, 22, -12, -7],\n [3, -4, 4, -11, -5, 0, 10, -14, -19, -15, 13],\n [-6, 9, -22, -24, -6, 21, -6, -14, -9, -8, 14],\n [-2, -18, 11, 15, 4, -6, -3, 11, -16, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "684", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (11, 10) of the product matrix AB given:\nA =\n[[10, -10, 24, 2, -14, -6, 21, -8, 11, 0, 20],\n [-19, 17, 21, -5, 17, 6, -19, -3, -6, -6, 6],\n [0, 10, -2, -25, 2, 0, 8, 0, 10, -21, -24],\n [6, 8, 24, 4, -2, 2, 20, -23, 24, -16, -20],\n [8, 5, 17, 24, 20, -13, 13, -6, 6, -16, 0],\n [-7, 3, -13, 8, -6, 18, 14, -8, 8, 22, -18],\n [-10, 14, -3, 6, -13, 0, 12, -25, -24, 13, -13],\n [1, -22, 15, 25, -6, -23, -3, -24, -10, -16, 2],\n [18, -8, -24, -12, 18, -6, 14, -3, -19, 19, 21],\n [-12, 11, -18, 24, -21, -3, 15, -16, 23, 1, 9],\n [-25, -19, 21, 25, -18, -15, 8, 2, 8, 17, -6]]\nB =\n[[2, 23, 16, 11, -23, -17, -4, -1, -24, -3],\n [25, -9, -1, -14, 1, -6, -17, -3, 10, 2],\n [24, 22, 3, 16, 6, -14, 4, -15, 11, -6],\n [-15, 22, 21, 12, 19, -10, 9, 24, -25, -1],\n [23, 1, 6, -20, 15, 10, 13, -3, 3, 4],\n [-4, -15, 0, -3, -23, 22, -20, -19, 18, 13],\n [25, -4, 22, 24, 16, 7, 14, -23, 4, 22],\n [-2, -23, -24, 18, 14, -7, -2, 24, -6, 21],\n [23, 24, 5, 24, 15, 5, 11, 17, 3, -22],\n [-16, 10, 9, 22, -5, 17, 15, -25, 16, -14],\n [-2, -24, 21, -6, -10, 8, -13, -8, 3, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-727", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[17, -12, 4, 9, -17, 11, 20, 13, -14, -5, -8],\n [-15, 1, -2, 15, 17, 24, 8, -6, -13, 21, -18],\n [11, -21, -19, 18, -14, 15, -22, 14, -7, -25, 17],\n [-13, 24, 16, 19, -1, 18, 19, 8, 9, -9, 0],\n [-5, 25, -14, -10, -6, -16, -3, 21, 4, -18, 25],\n [-21, -14, 16, -12, -14, -2, 19, -9, -25, 16, 11],\n [-15, 16, -20, -11, 15, 14, -3, -3, 12, 12, 23],\n [-14, -19, 11, -10, 12, 14, 9, 14, 3, 13, -9],\n [25, 0, -6, 20, -1, 12, 13, 11, -7, -5, 6],\n [2, 13, 15, -14, 21, -11, 2, -5, -10, -3, 0],\n [-11, 11, -14, -22, 9, 5, 1, 6, 7, -13, 11]]\nB =\n[[18, -24, 12, 11, 24, -21, -8, 22, -9, -24, 23],\n [16, 9, -12, 25, -14, 7, -19, 13, 19, -17, -21],\n [-22, 6, -21, 18, -18, -13, -22, -15, -11, 20, -8],\n [-6, -25, -25, -15, 3, 3, -2, -6, 4, 12, -21],\n [19, -16, -20, -22, -22, -19, 22, 7, -17, 0, 25],\n [21, 15, -5, -4, 7, 7, 22, -21, -5, 1, 15],\n [-25, 25, -10, 9, 10, 18, 6, 3, 13, 21, -3],\n [-11, 0, 11, -1, -24, -14, -7, 6, -3, -21, -1],\n [9, 3, 12, 19, -6, 21, 10, -19, -4, -8, -5],\n [-4, 13, -14, -15, -14, 0, 4, -11, -18, 17, -8],\n [-16, -18, 12, 9, -6, -14, 23, -23, -6, 24, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68560", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -10, -16, -7, 15, -12, -12, -4, -22, 21],\n [8, -8, 8, -8, 14, 5, 16, -6, 10, 16],\n [-16, -23, -5, 10, -16, -19, -4, -3, -14, 13],\n [-13, 14, -13, 7, 5, 22, 25, 2, -7, -5],\n [6, 0, -13, 3, -19, 21, 0, -20, 6, 10],\n [-3, -15, -5, -7, 8, 23, 21, 24, 18, 9],\n [23, 5, 20, 3, -20, 10, 5, 6, 14, -6],\n [-4, -23, -18, 19, -7, 5, 6, -11, 13, 5],\n [-23, 25, 6, -16, 2, 1, 22, 20, 14, 17],\n [5, 25, 8, -21, -15, -19, -18, -9, 18, 24]]\nB =\n[[13, 15, 25, -12, -2, 4, 25, 24, -11, -22, -13],\n [-21, 5, -14, 4, 23, -16, 4, 0, 18, -20, 1],\n [-6, 2, -6, -14, 19, -5, 4, 23, -16, 25, -21],\n [11, -18, 4, -9, -23, -5, -10, 6, 1, 25, -20],\n [16, -10, 19, -23, 14, -6, 14, -19, -15, 3, -23],\n [-5, 6, 4, 13, -15, -9, -1, 24, -1, -17, 19],\n [3, -11, -7, -11, 13, 9, 14, -13, -10, -23, 5],\n [-25, 9, -10, -25, 24, -12, -19, -3, 9, 3, -4],\n [-10, 3, -20, -8, 3, -1, 19, -24, 18, 6, 10],\n [6, 15, -6, 11, 16, 12, 7, -21, -20, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, 17, -11, 8, 21, -19, -9, 18, 18, -21],\n [13, -24, 1, 19, -2, 15, 21, 2, 21, -25],\n [-5, 2, -23, 4, -25, 25, 19, 21, 19, -8],\n [23, 7, -11, -2, 10, 8, 0, 25, 14, -4],\n [-10, 14, 16, -10, -21, 25, -20, 16, -2, 4],\n [11, 6, -7, 25, 19, 2, 21, -18, 17, -25],\n [-22, -4, -4, 4, 1, 1, -13, 13, 1, 13],\n [12, -18, -14, -2, -8, -11, -10, 7, -16, 21],\n [-2, 19, -7, 1, 19, 15, 5, -5, -10, -3],\n [-12, -3, 15, -8, 10, -14, 11, -15, -21, 25],\n [-5, 6, 3, -19, 10, 14, 1, -20, 12, -22]]\nB =\n[[20, 9, -16, 12, 24, 4, 16, -17, -10, -22],\n [0, 3, 2, -15, 2, 18, 6, -2, 25, 16],\n [13, -19, -8, -23, 18, 20, -6, 8, 4, -17],\n [-16, -20, -9, -11, 7, -13, 16, 18, -4, -10],\n [8, -23, -18, -6, 21, -2, 25, -8, -3, -25],\n [25, -24, -21, -8, -10, -16, 3, 9, -1, 16],\n [-2, -13, -5, 16, 17, 13, 8, -7, 2, 1],\n [24, 0, -15, 23, 9, -6, -14, 2, -24, -25],\n [-17, -4, 25, 14, 1, -17, -19, 10, 22, 12],\n [24, -24, 17, -21, -9, 11, 9, 25, -18, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-749", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-23, -23, -25, -2, 19, 4, 16, 0, 12, 17],\n [14, 25, 17, 12, 18, 24, -23, -13, 10, 15],\n [22, -14, -6, 13, 18, -18, 21, -24, -15, -5],\n [11, -20, -7, 4, 20, 13, 18, 23, 10, -6],\n [-16, -2, 7, 3, 4, 10, 19, -20, 21, -12],\n [-23, -2, -7, 12, 8, -17, 4, 6, -13, -8],\n [18, -4, -22, -3, -19, 18, -15, 13, 16, 15],\n [8, -21, 16, -1, 2, -12, 1, -10, 1, -24],\n [-7, -3, 15, -12, 21, 25, 0, -18, 1, 21],\n [14, 2, -22, 12, -15, 18, -2, 2, 15, -8],\n [23, -5, 0, -23, -13, 12, 2, -12, -25, 2]]\nB =\n[[10, 24, -15, 17, 14, -22, 8, -25, -16, -9, -19],\n [13, -13, -4, -25, 2, 7, -13, -25, 12, -1, 16],\n [-5, 7, 11, 8, -23, 4, -23, -8, -3, -18, -17],\n [-24, -24, 1, 22, 13, 10, -21, -25, -4, -16, 19],\n [-2, -11, 7, 24, -3, -12, -8, -1, -4, 18, 18],\n [11, -19, 0, -2, -13, 15, -20, -5, -19, -8, -11],\n [-18, -10, 23, -23, 19, -17, 21, 0, 0, 4, 1],\n [-10, 22, 25, -22, 25, -7, 8, -20, 19, -11, -16],\n [16, 10, 20, 14, -20, 18, 14, -20, -11, 3, -1],\n [-7, -12, -23, 24, 16, 20, -12, 13, 13, -5, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-748", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[24, -16, -11, 4, 18, -9, 3, -9, 7, 12, -5],\n [21, 25, -12, -16, 16, -3, 13, 13, -12, 21, -4],\n [15, 2, 21, -17, -3, -19, -2, 17, 11, -17, 12],\n [-19, -3, -1, 20, 25, -4, 17, -19, -20, 10, 20],\n [-4, 9, 23, 21, 7, -5, -15, -13, -23, -13, 24],\n [15, 8, 2, 14, 8, 6, -3, -2, -25, -2, -23],\n [-9, -19, -16, -7, -2, -17, 24, -11, 23, -4, -9],\n [-7, -17, 12, -7, -18, -20, 23, 12, 19, -5, 3],\n [8, -14, 13, 6, -20, -9, 6, -18, 12, 3, 5],\n [-7, -17, 2, 22, 24, 25, 13, 14, 5, -7, 7],\n [0, 19, -25, -15, -24, 9, -13, 13, 8, 8, 9]]\nB =\n[[6, 19, -14, 7, -8, -21, -7, 5, 1, 16],\n [12, 24, -11, 20, 22, -22, -7, -5, 14, -25],\n [-6, -4, -13, 15, -25, -11, -11, -12, -21, 23],\n [-20, 15, 5, 0, -1, 25, 23, 13, 14, -11],\n [-20, -25, 15, -19, 25, -22, -25, 15, -24, 22],\n [8, 9, 20, -13, -9, -16, -23, -22, -1, 11],\n [17, 12, 3, -25, 25, 4, 13, -16, 3, 18],\n [6, 18, -25, 15, -9, -14, -24, -17, -14, -1],\n [10, 18, 24, 9, -4, 7, 24, -5, 14, 25],\n [-4, 2, -22, 0, -3, 22, 23, -3, 15, -18],\n [6, 25, 13, 18, -25, 4, 2, -9, -3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74181", "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, -21, -1, -19, -4, 18, 11, 8, 10, 23],\n [14, -6, 11, -9, -22, 24, -8, 2, 24, -10, 17],\n [-18, 18, -8, 24, 3, 14, -10, 4, 23, 8, 4],\n [-5, -4, 21, -1, -4, 2, 13, 7, -24, -22, -10],\n [-14, -9, 10, -10, 13, -3, -18, -17, -12, -17, 21],\n [0, 10, -23, -16, -1, -22, 4, 24, -15, 25, -7],\n [24, -13, 10, -23, 22, -12, -16, 12, 14, 1, -2],\n [-10, -16, 1, -19, 25, 2, 0, -8, -13, -18, 1],\n [-12, 15, 18, -20, -6, 2, -3, -14, -2, 25, 18],\n [-4, 0, -4, -19, -11, 22, 4, -22, -20, 22, 21],\n [-24, 5, -2, 9, 21, 5, -1, -18, -14, -24, -11]]\nB =\n[[14, 6, -15, -9, -5, -4, 7, 3, -11, -5],\n [-24, 16, 12, -23, -1, -13, -2, 5, -11, -20],\n [15, -16, -17, 24, 15, 24, 15, -21, 19, 18],\n [15, -7, -6, 7, 17, 11, 5, 13, -13, 12],\n [19, -20, 21, -18, 17, -16, 15, -22, -12, -22],\n [-2, 21, -5, -16, 20, -1, -20, -10, 18, 2],\n [10, 7, 4, 10, -1, -13, 13, -11, 12, 4],\n [-12, 24, -22, -25, -23, 19, 24, 10, -22, 17],\n [-12, -1, 13, -23, -19, -18, 18, -19, 22, -1],\n [-9, 0, -22, 23, -8, -22, -9, 21, -9, 19],\n [-1, -23, -14, 1, -9, -4, 13, 13, 17, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68871", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 6) of the product of the following matrices:\nA =\n[[10, -10, 11, 25, 3, -12, -19, 15, 2, -13],\n [-10, -5, -22, 13, 9, -11, 0, 20, -19, -8],\n [-1, 11, -5, -18, -6, -8, -7, -23, 12, -8],\n [1, -11, 20, -5, -4, -18, -15, 17, -14, 22],\n [13, 1, 9, -24, 9, 5, -18, -6, -18, -22],\n [5, 6, -13, -4, 0, -9, 3, 1, -4, -8],\n [-21, -14, -24, 16, -19, 21, 0, 13, -11, 22],\n [7, 21, -23, 16, 22, -24, -9, -25, 10, 17],\n [-9, -24, 7, 3, -20, 17, 10, -2, -15, -21],\n [4, -16, 11, 1, 1, -2, -23, 12, 0, 19],\n [22, 13, -8, -23, 12, 16, 22, -1, -13, -1]]\nB =\n[[-2, 15, -10, 17, 15, 16, -15, -5, 5, -11],\n [19, 23, 10, 17, -25, 2, 7, -23, -11, 7],\n [6, -3, 0, 22, -9, -17, -21, 3, -20, 21],\n [15, 9, 25, -5, 19, 19, -3, 9, 20, -24],\n [16, -17, -13, 17, 8, -10, -21, -25, 14, -4],\n [22, 20, 0, 8, 24, -5, -19, -1, -14, 5],\n [21, 1, -4, 8, -9, -15, 3, 8, 25, 11],\n [23, 22, 0, 19, 19, 19, 6, 11, -21, -6],\n [25, -19, 17, -3, -25, 13, -23, 19, -23, -20],\n [5, 1, 3, -11, 10, -21, -23, 25, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 22, -9, -17, 0, -4, 15, 20, -3, -15],\n [-16, -3, -21, 0, -22, 17, 1, 12, 8, -23],\n [24, 6, 0, -8, -19, 19, -13, -20, 9, 5],\n [16, 11, 17, -22, 16, -22, 19, -18, 12, -15],\n [-24, -8, -8, -4, -14, -9, 25, -9, 10, 3],\n [23, -10, 15, -15, 18, 17, 19, -4, 4, -18],\n [20, -8, 20, -10, 21, -6, 13, -18, 4, 12],\n [3, -13, -9, 14, 17, -9, -17, -24, 16, -2],\n [-5, 20, -24, -21, -9, -2, -18, 4, 24, -4],\n [-2, 0, -18, -14, -12, 4, 9, 5, 2, 20]]\nB =\n[[1, 10, -25, 15, -12, -16, 24, 16, -19, 14, -12],\n [10, 1, -15, 16, 23, 11, 16, -16, -19, -9, -14],\n [11, 11, 10, -19, -2, 8, -25, 3, 0, -16, -25],\n [19, -9, 15, 10, -17, 13, -3, 3, -24, -8, 2],\n [21, 16, 23, -19, -15, -19, 17, -2, -11, 5, 25],\n [-7, -16, 22, -18, -25, -24, 3, 16, -16, 16, -17],\n [24, 5, 6, -24, -2, 11, 17, -20, -18, 14, -1],\n [16, 17, 25, -1, 20, -15, 9, -25, -3, -23, 15],\n [-25, 18, -14, 12, 14, 5, 3, 9, 2, -5, -15],\n [0, -15, -21, -19, 25, 5, 13, 16, -18, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61211", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -12, -25, 19, -2, -20, -20, -21, 9, 18, -11],\n [9, 22, 24, 15, -18, 17, 9, -21, 5, 16, 5],\n [11, -18, -20, -3, -10, 18, 23, -18, -22, 6, 23],\n [-23, 24, -10, 8, -13, 7, -4, 5, -2, -23, 7],\n [4, 0, 8, 25, -4, 4, 9, -1, 2, 7, -3],\n [0, -17, -18, 11, 7, -11, 23, 21, -18, -5, -23],\n [-17, -12, 12, 1, -6, -22, -2, 1, -14, 2, 9],\n [-2, 5, -23, 4, 1, -9, -20, 21, 17, -8, 9],\n [1, -9, -15, 12, 11, 16, 8, 21, 6, 17, 20],\n [20, 9, 2, -4, -10, 20, 16, 14, -14, -21, 0],\n [0, -13, -2, 18, -23, 6, -3, 23, 11, 12, 19]]\nB =\n[[12, -13, -11, -24, -15, -10, -8, 8, -16, -13],\n [6, -18, -19, 22, -9, 15, 1, -18, 3, 11],\n [1, 11, -2, 19, -10, 0, 5, 1, 0, 17],\n [-11, 23, -11, -3, -1, 18, -22, 10, -10, 21],\n [14, -5, 14, 17, -9, -23, -19, -14, -25, 17],\n [11, -20, 20, 23, -3, -1, -1, -23, -22, 4],\n [7, 3, -22, -12, -5, -19, -5, -19, -25, 8],\n [-3, -23, -8, 17, -14, -12, 15, 2, 16, 19],\n [-2, -2, -23, -17, -2, -24, 14, 2, -19, -17],\n [19, 13, 13, 7, 8, -5, 3, 1, -9, 16],\n [21, 22, -3, 19, -5, -18, -17, 7, -22, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 4, -1, 7, 9, 16, 8, 24, -24, -13],\n [15, -3, -3, 5, -24, -24, -21, -12, -3, 9],\n [20, -25, 15, 22, 23, 14, -11, 4, -5, -18],\n [-19, 15, 8, 16, 11, 22, 6, 7, -20, 16],\n [-16, 0, 25, 19, 0, -7, 9, 19, -22, -1],\n [-18, -14, -2, -2, -9, -1, 7, 1, -24, -17],\n [7, -7, 23, -21, 21, -6, -2, 5, 18, -22],\n [6, 21, 9, -12, 10, 25, -20, -9, -8, -18],\n [25, -14, -9, 5, 25, -25, -15, 16, -10, 11],\n [23, 2, -17, -18, -1, -16, 14, -23, -3, -3],\n [18, -22, 24, -3, -17, -22, 8, 13, -8, 8]]\nB =\n[[8, 16, -23, -7, 8, 0, 9, 15, 17, 5],\n [17, 1, -23, 11, -14, 21, -3, -9, -10, -9],\n [-11, 0, 19, -24, -9, -25, 4, 6, 4, 16],\n [-22, 16, 18, 6, 9, -25, -7, 7, -7, 10],\n [1, -13, 1, 20, -12, -2, 9, -7, -1, -15],\n [-17, -20, 10, 11, 3, -17, 7, -3, -11, -15],\n [-3, 0, -25, 4, -9, 21, 20, 15, -3, 10],\n [15, -21, 9, 24, -17, -22, -19, -25, -10, -1],\n [-20, 12, -12, 11, -15, -25, 16, -25, 10, -18],\n [6, 7, -18, -12, -2, 23, 15, 3, -1, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59615", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-25, -3, 15, 7, -12, 2, 3, 17, 14, -3],\n [18, 12, 23, 17, -16, 1, -18, 18, -22, -5],\n [-5, 4, -13, -23, -6, 10, 14, -21, -4, -24],\n [-1, 14, -2, -21, -10, -11, 25, -13, -15, -10],\n [-8, -1, 21, 12, 14, -22, 22, -5, -15, 8],\n [4, -22, -12, -15, -22, 0, -23, 11, 12, 15],\n [-22, 0, 13, 19, 16, 18, 16, -15, -15, 12],\n [12, -6, 0, 12, -14, 3, -12, 24, -1, 25],\n [16, 16, 13, 0, -16, -12, -21, -4, -15, 3],\n [-19, -8, 5, 17, -6, 9, -19, 4, -22, 25],\n [4, 4, 4, -8, 17, 20, -16, -12, 10, -3]]\nB =\n[[-14, -14, 8, 0, -20, 11, 25, -11, 16, 13, -7],\n [14, 21, -3, 10, -13, 5, 11, 0, 17, 22, -8],\n [21, 7, 14, 6, -22, 15, -7, -19, 21, 9, 0],\n [18, -3, 8, 25, -19, -15, 25, -18, -13, 6, 15],\n [8, -8, -11, 17, -2, 21, -5, -8, -12, -7, -13],\n [-10, -24, 8, 23, 0, -4, -6, 3, -8, 3, 16],\n [18, 1, 9, 3, -20, 11, -1, -5, 5, 14, 24],\n [-10, -12, -20, -15, 1, 12, -21, -11, 12, -10, -8],\n [7, 9, -2, 9, -19, -12, 24, 4, -2, -11, -13],\n [-7, 3, -4, -24, 13, -13, 10, 12, -8, 25, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3431", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -9, 22, -13, -4, 14, -5, 0, 20, -22, -19],\n [-16, -11, 0, -10, 14, 8, -9, 12, -10, 8, 3],\n [-8, -15, -14, 11, -24, -8, 12, 7, -17, -11, 2],\n [-18, 20, 10, 13, -18, 16, 24, 24, -7, -22, 1],\n [-13, 12, -5, 0, 19, -3, 4, 5, 5, -10, 16],\n [15, -19, -9, -2, -6, 13, 1, -24, 25, -25, 8],\n [1, 11, 24, -20, 12, 1, 22, -10, 9, 1, 9],\n [10, 12, 2, -23, 15, 5, -23, 12, -2, 0, 15],\n [21, 2, -17, 11, 1, 22, -23, 15, 23, 2, 6],\n [9, -19, -19, -5, 6, 12, -6, -18, -22, 0, -11]]\nB =\n[[-20, 22, 6, -21, 18, 20, -20, -23, 3, -7, -16],\n [-19, 19, -25, -25, -9, -4, 10, -12, -20, 4, 20],\n [21, 7, -6, -10, -22, 8, -25, -13, 22, -18, -4],\n [-22, 8, 19, 11, -3, -6, -2, 1, -13, -21, -10],\n [12, 22, 3, 0, -4, -2, -13, 17, -5, -25, -22],\n [-23, 24, -3, -10, 19, -13, 13, 5, -2, 21, -11],\n [-21, 23, -4, -4, -15, -2, 19, -16, 21, 8, -15],\n [17, 3, -4, 7, -18, 23, 6, 14, 19, -3, -21],\n [5, 3, -20, -1, -1, 5, -12, -9, -10, 2, -17],\n [25, -24, -22, -6, 15, 10, 11, -20, -25, 19, 24],\n [-23, 11, 19, 16, -23, 17, 7, -11, -22, -11, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1589", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[21, -22, -23, -3, -12, -20, 7, -17, -14, 24],\n [9, 5, 25, -23, 20, 10, -13, -13, 8, -5],\n [8, 16, 17, 2, 21, 9, -12, -8, -7, -7],\n [7, 25, 9, -6, 3, -18, -1, -9, -25, 12],\n [23, 4, 2, 7, -13, -2, 18, 11, -4, -13],\n [14, -14, 15, 23, 20, -19, 10, 3, 3, 0],\n [1, -2, 5, -19, -9, 23, 7, 8, -8, 15],\n [-21, -25, -19, 8, -23, 10, 9, 25, -14, -11],\n [-22, 7, -10, 3, -20, 23, 11, -3, -13, 18],\n [-25, -14, 1, -1, -4, 8, -8, 15, -10, 3],\n [4, 4, -6, 21, -4, 16, 8, -22, 24, 5]]\nB =\n[[25, 24, -12, -18, 11, -21, -18, -15, 3, -5],\n [13, -13, 23, -7, -23, 8, 12, -7, 6, 21],\n [10, 25, 13, -12, -19, -6, 6, 20, 5, -4],\n [-21, 5, -11, 18, -9, 11, -7, -16, 18, 8],\n [23, -1, 11, 2, -11, -6, -13, -6, 17, 5],\n [-8, 15, 22, 2, 21, -22, -2, 18, 19, -17],\n [21, 24, 6, 6, 13, -5, 18, 16, 13, 20],\n [1, 21, 10, -18, -7, 3, -7, -21, -4, 9],\n [-16, -11, -24, 16, -4, 22, 9, 13, -7, 21],\n [-14, 8, 19, -6, 25, -19, -2, -23, -20, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3734", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, 7, 3, -3, -22, -21, 8, -10, 14, 21],\n [17, 16, -23, 17, 23, 16, 23, -12, 7, 2],\n [15, -11, -22, -6, -1, 9, 13, -4, 9, 21],\n [2, -16, -10, 23, -3, -7, -25, -25, 20, 0],\n [8, -24, 2, -6, 16, 21, 1, 2, 5, 21],\n [-19, -18, 6, -15, 22, 0, -1, -19, -6, 15],\n [25, 4, -25, -8, -18, 3, 14, -4, 6, 14],\n [-12, -24, 9, -19, -23, -11, 17, 8, -4, -8],\n [20, -8, 8, 10, 20, 13, 21, 12, 11, -8],\n [17, 14, 3, -14, -8, 5, -11, 14, 4, 10],\n [2, -11, 17, 7, -24, -18, 22, 7, 9, -8]]\nB =\n[[0, 22, -5, 2, -6, 19, -6, -22, 10, 8, 19],\n [-13, 5, 13, -19, -9, 16, -14, 4, 22, 8, -4],\n [-5, -17, -14, -9, -10, -21, -7, 2, -9, -4, 9],\n [23, -11, -7, 21, 24, 0, 18, 18, 9, 17, -3],\n [-16, -4, 21, -15, 0, -25, 10, -5, -18, -6, 19],\n [-9, -11, -5, -25, -23, 5, 5, -5, -3, -9, -4],\n [-4, 10, -18, 21, -18, -12, 12, -2, -4, -11, -6],\n [1, 2, -4, 5, -17, -3, -21, 19, 13, -9, 14],\n [-21, -19, -18, -19, -4, 18, 12, -5, -22, 6, 3],\n [4, -23, -21, -7, -18, 11, 5, 1, -13, 16, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2343", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-25, 4, -15, 15, 5, -10, -11, -21, -11, -25],\n [-11, 10, 22, 13, -18, -4, 1, 8, 4, -14],\n [-24, 20, 25, 12, -4, 25, -9, 9, 16, 19],\n [-3, 3, 3, 24, -7, -9, -18, 24, -19, -15],\n [-23, -24, -7, 2, 2, -1, -15, 14, 17, -24],\n [-14, 15, 12, -14, 24, -1, 11, 5, -9, 22],\n [-14, 4, -24, -10, -25, 8, 19, 22, -25, 25],\n [10, -23, 8, -14, 19, 1, 24, 11, -1, -14],\n [25, 7, -17, -25, 24, -3, 2, -23, 12, 10],\n [18, 18, -21, 3, -13, 18, -22, -20, 25, 12]]\nB =\n[[-20, -15, 1, 20, 9, 14, -22, 1, -10, -8, -19],\n [-15, -18, -20, 22, -21, -20, 12, -24, 5, 13, 6],\n [-17, -11, -5, 20, 2, 19, 1, -21, -9, 11, -2],\n [5, 9, 15, 15, -22, -6, 17, -9, 20, -16, 11],\n [-5, -5, 23, -10, 7, -16, 18, -8, 7, 3, 5],\n [-2, -14, -6, -20, -18, -12, -21, 10, 22, 12, -23],\n [10, -4, -18, -12, -19, -22, -7, 17, 21, -2, -10],\n [-20, 18, -18, -1, 6, -1, -16, 17, 15, -9, 20],\n [-23, -17, -8, 23, 4, -21, 6, 1, -5, -2, 12],\n [-23, -10, -11, -1, -18, 15, -22, 6, 19, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "761", "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, 22, 23, 4, -9, -7, 5, -9, -24, 11, 22],\n [3, 4, 17, -4, 12, -15, 7, -7, -23, 14, -4],\n [-8, 19, 4, -25, -6, 23, -21, -14, -15, -2, -8],\n [-18, 3, -4, 19, -24, -3, -10, 18, -18, -22, -12],\n [-17, -15, 22, 12, 18, 25, -10, -13, 10, 18, 10],\n [-9, -12, 3, -9, -25, -6, 7, -24, -9, -3, -4],\n [-25, -14, -13, -12, -16, -14, -4, -8, 13, -7, 4],\n [-11, 13, -12, -17, -21, 7, 22, -21, -2, -18, -7],\n [-14, -18, -18, 12, -6, 3, 15, 8, -8, -25, -15],\n [21, 18, 9, 25, 6, 25, 16, -10, -20, -17, 14],\n [-4, 22, -18, 6, 0, -8, 11, -14, 12, 8, -22]]\nB =\n[[-10, -2, -12, -9, 25, 5, -22, 24, 18, 8],\n [12, 12, -23, -18, -14, 9, -24, 3, -3, 7],\n [24, -8, 14, -4, -12, 3, 19, -11, -11, 19],\n [-22, 10, -21, -23, -14, -6, 18, -6, 13, 13],\n [-25, 18, -23, 21, -17, -6, -17, 5, 20, 2],\n [9, 14, 12, 18, -24, -23, -12, -9, 9, -22],\n [21, 4, 13, 25, -12, 22, 1, -13, -6, 23],\n [23, -2, -16, -19, -9, -4, 18, -15, 16, -3],\n [-4, 14, 21, -8, 19, 0, 22, 4, -13, -22],\n [17, 1, 25, 14, -16, 18, 2, -5, -15, -6],\n [10, -7, -16, -11, 19, 19, -8, -19, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63203", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 15, 4, 1, 23, 11, 22, 15, -9, 4],\n [-8, -23, 2, 11, 4, -5, 23, -6, -4, 10],\n [10, -5, -2, -5, -19, -18, -4, -4, 4, 8],\n [3, -16, -21, 23, 13, 8, 12, -16, -17, 6],\n [-21, 9, -15, 16, -10, 1, -6, 25, -25, 0],\n [-15, -11, 13, 14, 22, -8, -2, 2, -1, -3],\n [-15, 7, -10, 10, -3, -20, 17, -2, 12, 16],\n [-20, -16, -4, -3, -21, 2, -17, 13, 23, 18],\n [2, -1, 17, 12, 1, -2, 17, 17, 20, -10],\n [-24, -24, -21, 20, -5, -16, 16, -8, 0, -6],\n [15, 10, 23, -5, -24, 20, 7, -3, 13, 5]]\nB =\n[[-22, 15, -23, 11, -16, 16, 6, 10, 23, 1, 23],\n [-7, 12, -25, 0, 20, -13, 9, -24, -4, 13, 2],\n [18, -24, -15, 22, 11, 0, 2, 0, -9, -23, -12],\n [-10, 23, 25, 10, 2, 2, -1, -17, -15, 11, 17],\n [19, -5, -24, 8, 16, -13, -21, -15, 3, 21, 2],\n [2, -21, -6, 11, 13, -16, 6, 3, -24, -25, -6],\n [-25, -22, -11, 21, 4, -20, 12, -25, -19, -21, 23],\n [-19, 10, -23, -14, -11, -6, 15, -5, 6, -14, 11],\n [14, 21, -19, 25, 19, 5, -25, -15, 19, 8, -7],\n [-15, 7, 7, -18, 19, -18, 8, 14, 1, 3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 19, 11, -25, -17, -16, 4, 17, -8, -9],\n [-20, -15, -2, 10, 7, 7, -8, -21, 5, -10],\n [-24, -17, -24, 11, -6, -9, -1, -7, 16, -18],\n [-15, -13, -13, -17, -21, -8, 14, -12, 8, -4],\n [22, 7, -2, 3, -13, 24, 1, -25, -19, -22],\n [-16, 14, 9, 13, -10, 1, -6, -16, 19, 7],\n [-19, 16, 18, 20, -4, 17, -9, -17, 14, -16],\n [10, 5, 5, -21, -8, -20, 16, 24, 2, 17],\n [-2, -21, 2, -23, -8, -22, 14, 23, 16, 6],\n [6, -7, 3, 7, -24, -15, 21, 7, 15, 14]]\nB =\n[[-25, 16, -9, 24, -10, -24, 23, -22, 6, -19, 3],\n [-17, 9, -21, 24, -5, -9, 13, -12, 6, -11, -5],\n [-12, 15, -10, 25, -25, 14, -8, 8, 0, 10, -5],\n [-25, 1, 25, -15, 12, 25, -12, 2, 1, -4, -5],\n [-2, -7, -2, 0, -1, 19, 18, 3, -16, 25, -15],\n [-2, -2, -14, -19, 14, -9, 9, -20, -14, -11, 6],\n [-3, -19, 12, 5, 3, 18, 2, -14, 1, -22, -5],\n [-17, 23, 8, 11, -5, -3, -2, -16, 12, -20, -5],\n [11, 3, 14, -5, -4, 9, 20, -21, -11, 15, 21],\n [-7, -10, 14, 21, 17, -3, -22, -5, -2, 16, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4651", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[16, -24, 14, -18, -17, -24, -12, -6, -24, -22, 9],\n [-12, -5, 22, -11, 13, 24, -6, -20, 2, 22, 17],\n [-24, 2, 8, -12, -17, -3, 18, 9, -4, -21, 15],\n [3, 9, 24, 8, -22, 19, 23, -17, 25, -12, 19],\n [-21, 24, 21, 1, -15, 4, 25, 11, 13, 8, 25],\n [-2, -10, 4, -2, -23, 3, 16, -14, 1, 3, -24],\n [3, 14, -17, 18, 2, 11, -3, -13, -21, 6, 2],\n [-11, -2, 6, -5, -21, 11, 10, 2, 6, -3, -10],\n [24, -16, 3, 1, 9, 16, 19, -2, -3, -23, 10],\n [19, -12, -22, 18, 22, 16, 6, -6, -9, 3, 13],\n [6, -22, -2, 18, 16, -24, -12, 14, 16, 12, 8]]\nB =\n[[20, 17, -24, 10, -20, 10, -4, -21, 12, 15],\n [-4, 22, -15, 17, 5, 16, 3, 7, -4, 23],\n [1, -18, 22, -20, 20, -1, 8, -17, 10, 5],\n [-7, 23, -25, -2, 8, -9, 8, 9, 10, -13],\n [-1, -14, -5, 11, 20, 12, -25, 22, -20, 19],\n [19, -15, -10, -4, 20, -15, 11, 0, 0, 16],\n [-5, 0, -11, 13, 9, -15, -17, 16, -3, -22],\n [4, 2, -1, -4, -1, 0, 24, 3, 20, 15],\n [6, 0, 2, -6, 22, -24, -3, 13, -21, -5],\n [-4, 23, -15, 4, 2, 10, -9, -5, 11, 10],\n [-1, -2, 4, 16, 9, -5, -20, -5, -18, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56173", "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, -16, 5, 4, 25, -5, 10, 1, 12, 9],\n [6, 0, -22, 1, 10, 11, 1, 21, 22, -20],\n [-8, 0, 18, -2, -19, 18, -12, -13, 0, 17],\n [17, -24, 20, 21, -3, 2, -25, 6, -14, 20],\n [24, 9, 0, 5, -14, 3, -21, 9, -19, -10],\n [6, -9, -5, 1, 14, 21, -11, -3, -18, -1],\n [-15, -5, -16, 24, -17, 22, -25, -4, -20, 4],\n [8, -13, -4, -20, 15, 20, -2, -5, 13, -3],\n [-21, -19, -23, -13, -14, -20, 8, -11, 21, -8],\n [23, -23, -4, 9, 2, 15, 16, -14, -25, 10]]\nB =\n[[4, -3, 11, 2, 23, -21, 10, 21, -16, -21],\n [-12, -2, 2, -5, 19, 25, 14, -14, -6, 25],\n [6, 25, 12, 14, 16, -5, -9, -25, 25, 18],\n [2, -24, -9, 13, -12, -12, 18, 22, -8, 14],\n [8, 17, -25, 16, -8, 22, 8, -3, 23, -10],\n [-7, 11, -20, -2, -9, 22, -10, 13, 22, 15],\n [-20, -10, -17, 3, -22, 0, 12, 0, -12, 9],\n [23, 17, -2, -18, 14, -1, -22, -11, -10, -15],\n [2, -19, 24, 12, -2, 5, -22, 11, 9, -20],\n [20, 7, 6, 20, 12, 9, -9, 6, -12, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 13, -15, -19, 19, -2, -2, -12, -2, -15],\n [-18, 18, -11, 16, -24, -2, 19, -16, 6, -9],\n [-16, -4, -20, 1, -6, -25, -9, -25, 11, -11],\n [-25, -9, 20, 19, 17, 18, 12, 17, -24, -8],\n [-14, 3, -3, 21, -17, -18, 24, -10, -3, 3],\n [-16, -14, -14, 4, -16, -12, -22, 21, -6, 15],\n [13, -19, 4, 15, -2, -16, 19, 12, 10, -9],\n [-5, 20, -23, -25, -8, -24, 14, 22, -22, 6],\n [-7, -6, 16, 23, 23, -19, -17, -19, 1, -5],\n [9, -2, 6, -14, -3, 10, 23, 3, -23, 17],\n [-18, 8, -12, 10, 22, 20, 6, -19, -16, -14]]\nB =\n[[14, -3, -15, -13, -14, -19, 18, -16, -19, 25],\n [1, -19, 24, -2, -3, -1, 18, 10, 7, 11],\n [16, 13, -19, 4, 5, 19, 20, 11, -5, 8],\n [20, -5, 14, -6, 8, -18, 6, 4, 3, -21],\n [4, -14, 13, 1, -13, 21, -16, 10, 5, -10],\n [13, 19, 10, 0, 18, -6, 8, 11, -18, -22],\n [3, 5, -24, -1, 12, -23, 20, 16, 17, -21],\n [-4, -10, -17, 22, -17, 23, -14, 21, 16, -22],\n [23, -8, -8, 16, 17, 7, 16, -23, 12, -9],\n [-14, -15, -9, 9, 15, 24, -20, 9, -20, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3422", "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, 17, 13, -13, -13, 13, 20, 8, -23, 6, -22],\n [14, -25, -17, 23, 24, -19, 1, -23, -4, -10, -18],\n [-21, 23, 4, 2, 25, 1, 24, -4, 4, 11, -19],\n [24, 4, -13, -4, -15, -21, -4, -11, 13, 11, 5],\n [3, 13, -9, 15, -20, 15, -9, 8, -3, 4, -13],\n [4, 23, -6, -20, 5, -7, -20, 8, 2, -13, -16],\n [15, 19, -19, -8, -4, -12, 10, -18, -14, 14, 22],\n [7, -2, 16, 13, -12, 23, 25, -21, -7, -23, -25],\n [14, 15, 11, 7, 23, 20, -9, -17, 5, 9, -23],\n [-13, 11, 12, -12, -20, 3, 23, -17, 10, -3, -11],\n [24, 21, 24, -19, 21, -1, 11, -3, -15, 20, -18]]\nB =\n[[10, 16, 13, -25, 18, -13, -10, 20, -13, 11, -12],\n [-13, 20, -14, 2, -4, -6, 21, -7, -15, 4, 0],\n [-11, 4, 3, 6, 4, 18, 25, -10, 10, -8, 15],\n [22, 13, 2, -7, -15, -9, -5, 11, 18, 25, 8],\n [7, 3, -22, 6, -15, 0, -8, 6, 1, -10, -16],\n [18, 8, 7, -16, 16, 0, 16, -1, -24, 0, -6],\n [-23, 6, -25, -2, 24, 17, 18, 7, 12, 22, 9],\n [-9, 22, 17, 22, 18, 7, -15, -3, 12, 6, -7],\n [-14, 2, -24, -16, -7, 2, 21, -18, 17, -3, 22],\n [19, 4, 2, -13, 11, -14, -16, 25, -9, -25, -4],\n [-11, -10, -6, -16, 16, 0, 23, -3, -9, 8, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63500", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 11) when matrix A is multiplied by matrix B?\nA =\n[[-4, -22, -19, -21, 5, -7, -22, 24, -4, -23],\n [-3, -22, 20, -2, -12, 23, 15, 25, -23, 21],\n [-5, 0, -25, 4, 25, -22, -12, -8, -14, 12],\n [16, 10, -10, -25, -23, 13, 9, -11, 12, -10],\n [-9, 8, -16, -15, 2, 1, 12, -8, 21, 22],\n [4, -13, -10, -24, -6, -14, 3, 20, -18, 12],\n [20, 21, -6, 9, 13, 5, -10, -3, 8, 6],\n [-9, 17, -2, 9, -3, -18, -3, -5, -7, 5],\n [24, -19, 22, -2, 20, -18, -13, -23, 8, -13],\n [6, 9, -5, -25, -24, 16, 17, 0, -23, -2]]\nB =\n[[0, -18, 21, 11, -18, -8, -8, -14, 10, 14, -24],\n [-6, -23, 14, 18, 8, 23, 20, 20, -20, 14, -16],\n [-2, -8, 7, 13, -19, 19, 22, 18, 3, -7, 12],\n [13, -1, -9, 25, 11, -23, -2, -8, 23, 0, -5],\n [-15, 15, -9, 25, 19, 12, -5, -22, 6, -8, 18],\n [2, 10, 11, 18, 24, 0, 23, -2, -16, 12, 23],\n [-18, -24, 18, 9, -5, 1, -3, 6, 0, -19, 7],\n [-9, -18, 16, -9, 22, 16, 21, 22, -8, 10, 13],\n [18, -3, -14, -3, 7, 2, 18, -3, -19, 21, -24],\n [-25, -22, -18, 23, 3, -8, 11, 5, -20, 18, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[22, 15, -11, 14, -14, 20, 23, -12, 1, 11],\n [-13, 12, 20, 12, -23, -10, -14, -12, 8, 24],\n [5, 13, -21, -14, 0, -9, 18, -15, 7, 15],\n [14, 20, -22, 6, 5, -15, -9, 1, -18, -5],\n [7, 24, -21, 6, -1, -18, 1, 0, 14, 3],\n [-17, -8, -19, 16, -5, -10, -23, 6, -16, 6],\n [-18, 6, 24, -22, 3, -14, 11, 10, 25, -7],\n [11, 21, 5, 18, 0, 19, -20, 3, -9, -6],\n [16, 20, 21, -16, -20, 22, 6, -24, -16, 11],\n [1, 15, -7, 25, 15, -10, 25, -6, 10, -21],\n [-8, -18, -13, 15, -16, 10, -7, 5, 10, 3]]\nB =\n[[19, -3, 6, 23, -15, -24, 6, -21, 5, -13, -4],\n [9, -7, 3, -3, -7, -10, 5, -10, 0, -23, -3],\n [-17, 25, -2, 7, -12, 2, -2, 17, 24, -19, 12],\n [18, -1, -24, 19, -25, -3, 21, 14, -8, 21, -18],\n [8, 17, -18, 3, -13, -25, 3, 24, 11, -25, 18],\n [-21, 22, 24, -24, 21, -4, 4, -15, 3, 16, -23],\n [19, -13, -23, -16, -22, -12, -3, -9, -25, -11, -24],\n [-8, 13, -4, 2, 4, -13, -23, -23, 19, 0, -22],\n [-10, 2, -18, 14, -10, 5, -3, -24, -17, 1, 19],\n [-4, 18, 8, -17, 7, 12, 8, 9, 21, 0, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67644", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[19, 22, 19, 1, -14, -9, -5, 17, -4, 0, 13],\n [-13, 16, 16, 19, -3, 25, 4, -9, 1, -6, -19],\n [-22, 23, 5, 4, 5, -22, -8, -6, 14, 14, 22],\n [21, 24, -3, 25, 12, -17, -10, -5, -17, -1, 23],\n [10, 21, 17, -12, -9, 2, 19, 15, 22, -18, -12],\n [-11, 13, -1, -15, 3, -23, 13, -4, 11, 15, -6],\n [-7, -13, 1, -7, -10, -24, -25, -23, -2, 18, 12],\n [-24, -10, 3, 11, 18, -22, -12, -9, 18, 19, -9],\n [-6, 21, 3, 15, 0, 16, 12, -9, -14, 2, -17],\n [6, 8, -10, 22, 5, 1, 3, -25, 1, 6, -15],\n [9, -24, 20, -25, -20, -19, -24, -24, 21, -21, -13]]\nB =\n[[-7, -7, 21, -25, 9, -8, 23, 6, 6, -18, -15],\n [-6, -18, 2, -5, 12, 12, -20, -24, -16, 16, -17],\n [-23, -24, 10, -18, -17, 0, 8, 22, 4, 12, -18],\n [-23, -15, -1, -21, -14, 4, 1, 17, -21, -6, -5],\n [-23, 15, 24, 18, -22, -2, -19, -2, -15, -24, 18],\n [15, -20, -19, 12, -8, 19, -17, 2, -7, -22, -22],\n [-13, 2, -15, -24, -20, -14, 14, 11, -2, -17, 0],\n [-22, 15, 18, -22, 23, 8, -4, -13, -11, 14, 12],\n [15, 17, 18, -24, -24, 17, -18, 12, -8, 3, -15],\n [-20, -17, -4, 20, 25, -1, 5, -5, 12, -7, -16],\n [20, 11, -14, -7, -24, -11, 12, -18, 20, 9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4236", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[17, 4, -17, 4, 23, -7, 3, -24, 2, -18, -1],\n [-16, -4, 9, 16, -2, 0, 5, -3, -24, 13, 7],\n [-2, -14, 11, -17, 18, 17, 18, -23, 18, -3, -2],\n [7, 4, 12, 17, -24, 14, -4, -15, -14, -7, -6],\n [-17, 17, -8, 15, 21, -8, 14, 10, 1, -13, 21],\n [-18, 22, 17, -3, -13, -19, 24, 14, -24, -23, 16],\n [13, -3, -19, -22, -18, 6, -7, -14, -16, -12, 1],\n [18, -5, -6, -22, -7, 3, -19, 7, -18, -15, 7],\n [-1, 7, 10, 0, 10, -15, 4, 7, -16, 3, -1],\n [6, -22, 13, 8, -4, -13, 25, 10, -20, -9, 0],\n [-2, -17, -24, -6, 1, -20, 24, 1, -2, -11, 22]]\nB =\n[[7, 16, -16, -5, -20, 4, -3, 10, 20, 23, -23],\n [0, 8, 4, -8, -9, 19, 25, 16, -5, -2, -22],\n [23, 22, -1, 25, -2, 20, 1, 5, 21, 25, 9],\n [-6, -10, 5, -19, -8, -18, 1, -12, -8, -25, 5],\n [-6, -20, 19, -25, -7, 13, 1, -10, -12, 8, -19],\n [-6, 5, -4, -6, -11, -1, 20, -25, -9, -10, 11],\n [-5, 1, 9, -2, 25, -24, 20, -1, -7, 19, -13],\n [3, 6, -20, -17, -25, -2, -16, 9, -20, 22, -6],\n [12, -14, -23, -8, -5, 9, 11, -7, -1, -8, 14],\n [4, 16, 25, 16, 8, -16, -4, 24, -22, -23, 23],\n [23, 2, -4, -14, 23, -13, 15, 7, 21, -7, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7316", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[-9, 21, 8, -22, 13, -18, 7, -25, -21, 6, 14],\n [-25, 9, -4, 3, -9, 4, 9, -25, -22, -17, 19],\n [6, -21, -12, 25, 0, -3, 20, -4, 1, -1, 10],\n [-22, 6, -17, -24, 16, 24, 13, 20, -1, 21, -16],\n [11, -1, 14, 3, 11, -21, -12, 7, 1, -21, 25],\n [18, -11, -23, -25, -2, -14, 19, -12, 16, -6, -12],\n [-12, 19, 9, -7, -6, 16, 18, -3, 8, -25, -22],\n [14, -9, 0, -12, 20, 25, 6, 10, -6, -10, 25],\n [-7, 19, 13, -2, -12, 3, 16, -12, -15, -15, 21],\n [14, -2, -4, 23, -5, -20, -12, -17, 9, 18, 10]]\nB =\n[[-1, -11, 19, 2, 24, -12, -13, 15, 5, -21],\n [-7, -18, -13, 15, -9, 6, -21, -17, 17, 8],\n [19, -25, 14, -11, 6, 8, 9, 23, 24, 2],\n [-9, 20, -15, -3, 0, 20, -21, 0, -20, 25],\n [17, 8, 16, -13, -1, -24, -12, -9, 15, 14],\n [14, 13, -1, 1, 22, 25, -2, 23, 7, 1],\n [19, 5, 22, 12, -11, 18, 14, -25, -15, -11],\n [7, 22, 6, -1, 13, 7, 3, 8, -18, -15],\n [-13, -21, 24, -7, -5, -23, 0, 7, 4, -4],\n [-21, -7, -17, -2, 13, -14, 20, 22, 19, 1],\n [24, 16, -5, 12, 9, 6, 10, 7, 17, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-778", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-21, 18, -6, -3, 13, -22, 0, 4, 22, 21, 20],\n [3, 8, -16, -6, -2, 8, 11, -13, -3, -16, -4],\n [19, -12, -1, -8, -6, 2, -18, -21, -5, -6, 18],\n [-10, -6, 25, -1, -19, -1, 10, 25, -16, 14, -10],\n [-22, -16, 25, 22, 5, -14, -6, 6, -24, -15, -6],\n [-3, -13, 9, -9, -16, 14, 12, -12, -7, 6, 7],\n [17, -1, -1, -12, 19, 18, 12, 10, -2, 15, 13],\n [13, -13, -24, 8, -11, 22, -24, -1, -21, 8, 13],\n [-21, 17, -18, 23, -12, 3, 4, 11, -22, 9, -19],\n [0, 6, 17, 7, -2, 24, -25, 3, 22, 19, 12],\n [12, -5, -3, 20, -21, 4, 14, -8, -20, -21, 16]]\nB =\n[[-8, -13, -6, 12, -5, -22, -13, -8, -13, -13, 13],\n [11, 9, 12, 14, 1, 0, -14, -24, 17, -6, 9],\n [-16, -18, 14, 20, 10, 5, -11, 16, -8, -11, -7],\n [-2, 9, -24, -13, 19, -17, 9, -24, 20, -10, 20],\n [10, -24, -10, -18, -25, -8, 15, 0, 18, -21, -5],\n [9, 14, 2, 0, 6, 22, 24, 18, 18, -5, -22],\n [16, 15, 10, -2, 7, -21, -23, -15, 19, 6, -4],\n [-15, 12, -4, -22, 13, -23, -16, 11, -7, -8, 2],\n [5, -9, -2, -25, -21, 6, -9, -5, 15, 17, -4],\n [13, 13, 8, -12, -10, -21, -8, -22, 18, 25, 2],\n [19, 1, -20, -15, 21, -5, -9, 5, 8, -13, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60920", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-25, -22, 4, 5, 21, -10, 17, -23, -14, -14, -15],\n [-10, 3, -5, 19, 18, 16, 17, 24, -21, -13, -9],\n [-14, -9, -25, -18, -10, -11, -7, -1, 5, 16, -24],\n [-1, 5, -22, -22, -14, -9, -5, 3, -4, 10, 14],\n [-10, -11, 4, 20, 25, -15, -13, -3, 14, 15, 8],\n [-6, -24, -18, -8, -19, 17, 5, -4, 2, -1, -25],\n [6, -1, 22, -10, 3, 16, -2, -9, 16, -20, -12],\n [0, 2, 21, 10, 5, 1, -24, -7, 2, 19, 18],\n [-5, 19, -11, 8, 14, -23, -25, -2, 17, 1, -17],\n [-2, -9, 2, 13, -22, 3, 19, 2, 11, 3, 18]]\nB =\n[[3, -21, -15, -24, -22, -16, 13, 18, -18, -3, 1],\n [-3, 22, 8, 9, -9, 21, 24, -16, -24, -9, 5],\n [-10, -2, -19, -7, -10, 7, 10, 19, -16, 17, 25],\n [-11, 17, -23, -24, 17, 16, 9, 1, -21, -11, 10],\n [23, 7, -25, -14, 16, 15, -17, -6, 4, -12, -3],\n [3, 25, 16, 9, 1, 23, 1, 4, -23, -14, 21],\n [5, 11, 1, 21, -2, 22, 15, 14, -15, 1, -17],\n [-10, -12, 21, 4, 20, -2, 16, -13, 7, -17, 23],\n [0, 23, 16, 19, 24, -13, -5, 3, 2, -2, -13],\n [16, -6, 13, -19, 15, 22, -11, -1, 9, -13, 17],\n [-18, -5, -20, -16, 23, 15, -5, -12, 19, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61704", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -17, 23, 21, 11, 10, 10, -11, -21, -9, 4],\n [-19, -20, -11, 20, -16, -20, 16, 15, -13, -12, -25],\n [7, -7, -17, 11, 23, 22, -14, -21, -20, -15, 25],\n [12, -16, -11, 24, 13, 2, -23, -10, 19, -9, 10],\n [-7, -22, -1, 1, -14, 1, -22, -2, -9, 0, -8],\n [-4, -20, -7, 11, 8, -15, -2, 19, 11, -3, 14],\n [17, -22, -8, 4, -11, 11, -3, -14, -22, -22, 15],\n [15, -12, -18, -3, -25, -15, 1, -22, 3, -9, 23],\n [-7, 19, 25, 23, -2, 18, 20, 15, 18, 6, 5],\n [23, -10, 6, 18, 16, 8, 9, 11, -10, -5, -13],\n [-8, -24, 7, 15, -8, 2, 11, 9, 11, -14, 14]]\nB =\n[[-18, -1, -19, -24, 7, 7, 14, 23, -3, -21, -12],\n [-18, -6, -8, -3, 3, -19, -2, 20, -1, -12, 12],\n [-23, 20, -12, -23, 16, -17, -19, 0, -19, -19, 18],\n [10, -13, -23, -6, -17, -4, 19, 7, -3, -3, 12],\n [0, 6, 2, 4, 14, -9, -8, -1, -22, 0, 5],\n [-14, 22, -8, -16, 10, -24, -1, 21, -17, 21, 6],\n [-21, 25, -23, -9, -13, -23, 2, -22, -8, 9, -12],\n [-10, -14, -15, -24, 7, -13, 4, 0, 24, -8, -13],\n [-22, 7, -11, -9, -20, -21, 7, -10, 20, -2, -21],\n [-23, 9, 1, -14, 24, 15, -1, -9, 23, -6, 2],\n [24, 9, 24, -11, 7, -23, -19, -16, 15, 0, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4807", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[14, -20, 7, -10, -2, 4, -16, -15, 18, -4, -23],\n [12, 14, -3, 19, -7, 14, -13, 10, -23, -4, -1],\n [-6, 2, -23, -4, 18, 11, 12, -8, -6, 20, -21],\n [17, -17, 3, -9, -14, 0, 7, 7, 10, 3, -4],\n [-8, -9, 18, -2, -4, 18, -21, -25, -7, 4, 13],\n [-11, 20, 9, -21, -20, -1, -15, 25, -4, 8, 18],\n [-12, -17, -6, -10, -9, -9, 8, 16, -15, 9, 8],\n [10, -18, -7, 24, 7, -3, -24, -18, 3, 16, 25],\n [-19, 23, 3, 5, 4, 9, -1, 21, -22, 23, 17],\n [12, -9, -16, -25, -8, 20, -7, 24, 6, 5, 7],\n [-4, -25, 15, 20, 9, 18, 23, -9, 8, 3, -20]]\nB =\n[[-25, 1, -14, -22, -10, -15, -6, 0, 2, 16],\n [-18, -24, 14, 0, 1, 7, -19, 20, 10, -5],\n [23, 8, -3, 8, 14, -19, 0, 14, 23, -9],\n [5, 13, -1, 11, -11, -24, -15, 6, 4, -9],\n [-2, 19, -22, 24, 20, 6, -7, -23, -22, -1],\n [-17, -5, -3, 20, 3, 4, -1, 23, 3, 8],\n [-12, -4, 22, 25, -10, -15, -12, -19, -21, 14],\n [3, -9, 4, -1, -12, 16, -4, 18, -21, 14],\n [2, -14, 10, -13, -5, 6, 23, -5, 11, 12],\n [-17, 11, -24, -23, 17, -16, 9, -17, 14, 22],\n [6, -5, 8, -1, 16, 6, 20, 11, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3671", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-25, 19, 10, -5, 15, -10, 6, -5, 2, -7],\n [-12, -3, -2, -6, 6, 14, -16, -25, 5, 11],\n [-11, 14, 5, 2, -16, -20, -11, 21, 1, -16],\n [-5, -7, -22, -4, 12, -11, -20, 24, -15, 18],\n [4, 14, -2, -4, 4, 20, -22, 24, -20, 12],\n [0, -7, -24, -22, -21, 21, 9, 3, -10, 19],\n [-14, -5, -17, -15, -18, 0, 6, 13, -22, 8],\n [2, -1, 25, 18, 9, -7, 9, 25, 25, 13],\n [3, -12, -5, 10, 12, -12, 14, 24, -11, 25],\n [24, 4, 21, -14, 24, -21, 1, -11, 0, -17],\n [14, 14, 9, -13, 19, 18, 21, 20, 7, 8]]\nB =\n[[-22, -13, -16, 19, -25, -15, 24, -17, 12, -3],\n [-13, -21, -1, -16, -21, -4, 16, -1, 11, -6],\n [2, -5, -15, 3, -21, 11, 23, -21, 7, 19],\n [10, -18, -20, -11, -11, 22, -17, -21, 0, -3],\n [-10, 13, 9, -16, 1, -10, -5, -14, -17, -10],\n [-17, 3, -3, 13, 17, 23, -2, -4, 5, -16],\n [21, 16, 1, 8, 22, 13, -2, -5, -11, -9],\n [19, -7, -1, 14, -4, 15, 25, 23, 16, -12],\n [2, -14, 1, -2, -4, 13, 15, 24, 13, 10],\n [-3, -18, 2, 24, 3, -11, 13, -18, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7877", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-15, 16, 11, -1, 8, -4, -24, 25, -10, -15, -12],\n [6, -4, -21, 10, -3, -7, 3, 16, -3, -17, -8],\n [5, 11, -9, -8, 1, -5, -25, 6, -12, 20, -12],\n [7, 10, 13, -14, 19, -1, -11, -6, 8, -12, 4],\n [18, -13, -12, 3, 0, -23, -1, 1, 19, 14, -10],\n [12, -15, 3, 21, 25, -2, 3, 8, -15, -6, -6],\n [-17, -3, 10, 23, 1, -2, 14, -1, -1, 22, 7],\n [5, -16, 13, -11, -25, -10, -5, -24, -23, -11, 6],\n [24, 21, 1, 10, 9, 13, -2, 25, -18, -19, -22],\n [4, -16, -1, 16, 21, 6, 6, 24, 6, -16, -17],\n [-1, -1, 15, -10, 23, -10, 4, 12, -21, -19, -13]]\nB =\n[[-18, 7, -16, -6, 6, 3, -25, 1, -6, -12, -11],\n [-20, -24, 3, 13, 6, 25, -21, -4, 2, 6, 3],\n [14, -23, 5, -13, -20, -5, -12, -1, -19, 17, -4],\n [6, 15, 6, 16, 4, -9, 14, 12, -5, 0, 17],\n [-23, 12, -9, 13, -20, -5, 19, 20, 25, 14, -13],\n [-17, -21, 17, -19, 12, 18, 18, 12, 5, -22, -13],\n [18, -11, 14, -13, 17, 17, 17, 0, -7, 23, -25],\n [-13, -1, -6, 15, -3, -2, 17, 15, 23, 13, 14],\n [4, 8, 20, -16, 15, -25, -14, 20, 25, 3, -15],\n [15, -9, -6, 12, -20, -6, -16, -16, 5, 0, -9],\n [-12, -21, -23, 17, 25, -6, 25, 20, -11, -23, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9180", "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, -17, -15, 21, 23, 18, 23, 15, -13, -18, -4],\n [12, 1, 0, -3, 13, 5, 3, -25, -16, 21, 20],\n [-22, 5, -22, 3, -17, -11, 18, 15, -23, -11, -15],\n [-20, 21, -19, 25, 20, -22, -5, -25, -3, -13, 17],\n [2, 3, -8, -3, 2, -17, 17, -20, -10, 11, -25],\n [-4, 20, -3, -5, 25, 5, 12, 2, 18, 1, 13],\n [16, 16, -13, 6, -19, 25, 7, 21, 20, -13, 6],\n [-19, -14, 14, -11, 23, -5, -14, -13, 14, 16, 13],\n [-24, 3, 22, 3, 10, 12, -19, 4, -3, 25, 2],\n [-3, 10, 16, 3, -22, -6, -21, 20, -15, -24, 15],\n [18, -2, 7, -4, 21, -20, -2, 3, 23, 6, 21]]\nB =\n[[4, 20, 25, 15, -23, -1, 2, -11, -9, -24, 1],\n [10, -12, 17, 6, -14, -3, -10, 18, -24, -19, -5],\n [5, -3, -1, 9, 9, 19, -19, -21, 6, -21, -1],\n [5, -6, -4, 12, -13, 13, -24, -4, -17, 25, -24],\n [19, 6, -18, -10, 7, -15, 6, -18, 6, -5, -1],\n [-6, -25, -5, -19, -1, -17, -4, -24, -7, -20, -21],\n [19, -16, -25, 0, 0, -8, -5, 20, -14, 12, -12],\n [23, 6, 13, 9, -9, -16, 9, -10, -20, -22, -17],\n [3, -19, -10, -20, 18, -23, 18, -12, -12, -17, 10],\n [-3, -11, -19, -6, -7, -20, 25, 13, -25, -19, 9],\n [-1, 12, -3, -1, 12, -15, 8, 5, 12, 24, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70956", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-14, -17, -13, -6, -5, -4, -25, 14, 15, -9, 19],\n [-22, -20, 19, 23, -7, 4, -3, 6, 3, -18, -5],\n [-9, -9, -5, -11, 1, -1, 7, -24, 16, -10, 10],\n [-18, -10, -19, -21, -3, -18, -23, 9, 24, 10, 10],\n [-11, 4, -11, 3, -22, 8, -3, 9, 2, 5, 16],\n [7, -8, -21, -17, -6, 12, 25, -17, -8, -11, -11],\n [-12, 9, 14, 25, 17, 10, 21, 16, -6, -15, 15],\n [-9, 15, -1, 3, -3, -17, -1, 15, -3, -24, 19],\n [-25, 12, -20, 22, 18, -11, -19, -24, 4, 3, -14],\n [8, 4, 10, 9, -24, 24, -23, 16, -14, -22, -19]]\nB =\n[[-6, -7, -18, -23, 1, -11, -18, -8, 3, 20, 25],\n [10, -23, -17, -16, 14, -6, -24, -25, 1, -22, 22],\n [11, 6, -8, -12, 19, 22, -11, 25, -22, -7, -2],\n [4, -13, -15, 2, 24, -15, -25, 21, 16, -22, 12],\n [8, 23, -14, -2, 11, 6, -7, 3, 12, 23, 3],\n [-7, -6, -23, 14, -21, -3, -21, 4, 6, -2, 23],\n [25, 25, 16, 9, 6, 19, 22, 18, -4, -5, 2],\n [23, 8, -10, -15, 7, 18, 12, -7, 2, 3, 11],\n [-23, -8, -8, -14, -8, 6, 16, 10, -7, -22, -15],\n [-23, 1, 21, -10, 18, -8, 4, -2, -20, 21, 8],\n [-14, 16, -3, 10, 14, -11, 25, -10, 19, 21, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-11, -14, 17, 9, -1, -12, -24, -8, 9, -17],\n [-15, 0, -23, -21, 6, 15, -16, 12, -20, -15],\n [-9, -24, 15, -2, 24, -21, -5, -20, -22, -17],\n [-21, -22, -17, -8, 17, -10, -24, 3, 22, 25],\n [16, 10, -14, 15, 19, 11, 8, 9, 14, -20],\n [11, 10, -6, -10, -18, 18, -4, -21, -21, 19],\n [-15, 17, -7, 13, -9, 11, 12, -8, 24, -17],\n [24, 25, -9, 15, 7, -6, -8, -2, -13, 14],\n [2, 20, -23, 10, -15, 13, -5, 11, -24, -20],\n [-21, 21, 17, 6, 11, 24, 14, -15, -9, -12]]\nB =\n[[-24, 13, -8, 7, 4, -11, 3, 0, -25, -9, 13],\n [22, -24, -11, -4, -6, 3, -1, 17, -2, 8, 17],\n [-5, 22, -24, 25, -10, 14, -5, 11, -18, -12, 20],\n [-4, -8, -21, 16, 21, 19, 4, 5, -17, 5, 5],\n [15, 25, -17, 11, -20, 16, 0, -16, -20, 7, 19],\n [4, 14, -2, 2, 19, 12, 3, 25, 18, -11, -18],\n [-3, 17, -17, 25, -15, -20, 21, 23, -14, 8, -5],\n [6, 10, -1, 9, 8, -7, 11, -9, -10, -10, 18],\n [-22, 23, 4, 25, 8, -21, 7, 20, -17, -9, -14],\n [-2, -14, -11, -10, -3, -8, -4, 20, 18, 5, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60820", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-11, -5, -18, 23, 14, 10, 16, 12, -20, -9, 14],\n [19, 21, 10, 2, 21, -3, 5, 20, -15, -6, 6],\n [-9, 16, 12, -20, -25, 11, -22, 5, -15, -9, -19],\n [9, -24, 14, 11, 11, -16, -14, -9, 20, 0, -21],\n [-21, 12, 21, 1, -21, -18, 5, 7, -5, 9, -5],\n [25, -11, 10, -24, 4, 2, -9, 18, -6, 14, 3],\n [-21, -1, -16, -7, 15, 22, -25, 21, 8, -12, -1],\n [0, -5, -10, -16, 6, 18, 19, -6, -17, 8, 5],\n [-7, 21, 5, 4, 21, -2, 7, -8, -5, 5, 13],\n [16, 15, 25, 17, -22, 0, 7, 18, 7, 23, -6],\n [15, -18, 10, -18, 5, -4, 16, 24, 21, -7, -6]]\nB =\n[[-3, -2, 17, -2, 10, -17, 14, -10, 1, 19, 11],\n [-13, 25, -24, -14, 15, 7, -3, -12, 13, 23, 4],\n [20, 23, 8, -17, -11, -2, 22, 15, -1, 10, 6],\n [21, -5, 16, 13, -20, 21, -1, -24, 5, 4, -11],\n [-8, 6, -12, -8, 9, -4, -12, 12, -12, 8, -4],\n [-10, 22, 23, -10, -10, 14, 12, -8, -3, 20, 22],\n [14, -8, 20, 23, -4, 14, 4, 22, 16, 16, -8],\n [-8, 15, -25, 22, 16, -11, -21, 1, -9, 15, 6],\n [12, 0, -24, 2, 19, -3, 24, -6, 10, 16, -4],\n [-15, 2, 19, -4, -9, 5, -15, 10, -12, 9, -3],\n [3, -3, 18, 10, -10, 13, -6, -1, -7, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[24, -5, -17, 17, -7, 23, -5, -8, -20, 9],\n [-12, -17, 9, -24, 25, -20, 9, -1, -17, 24],\n [5, -19, 2, -24, -25, 11, -2, 9, -19, 12],\n [3, -25, 25, 4, 20, 6, -16, 8, -15, 22],\n [23, 11, 1, 24, 22, -16, 12, -4, -2, -18],\n [-20, -22, -21, -20, 21, 6, 12, 25, -6, 14],\n [19, 10, 23, -12, 24, 21, -7, -15, 13, -25],\n [9, -7, 7, 6, 10, -2, 17, -19, -19, 20],\n [21, -21, -12, 19, 0, 24, -25, -13, -3, -6],\n [-19, -20, -17, 2, -16, 9, -19, -1, 4, 17],\n [0, 18, -14, -13, 14, -22, -25, -20, -24, 20]]\nB =\n[[1, -8, 16, 3, 7, -23, -6, -22, -8, -18],\n [-4, 15, -4, -7, 2, -24, -17, 9, -4, 0],\n [8, -19, 4, 23, -1, 23, -17, 1, -25, 7],\n [-18, 23, 6, 14, -7, 10, 24, 19, -4, 13],\n [0, -23, 20, -17, 9, -19, -11, -22, 11, 2],\n [-17, 9, 22, 22, 25, -1, -17, 7, -9, -14],\n [-17, -21, 21, 0, 19, -7, 9, -24, 19, -19],\n [-17, -4, 16, 7, -10, 17, -2, -18, 4, 0],\n [19, 22, 9, 19, -9, 12, -16, 15, 24, -9],\n [-19, -24, -15, 24, -23, 20, -6, -13, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18919", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 17, 13, 6, 9, 9, 8, -5, -10, -3],\n [-15, -12, -23, -19, 14, 19, 25, -15, 7, -7],\n [19, 23, 15, 25, 25, -3, -3, 3, -20, 13],\n [-21, 6, 14, 0, -12, -8, -5, -1, -6, -2],\n [-23, -4, -18, 20, 20, 3, -19, -20, -20, -14],\n [-4, 21, 0, -1, -7, 10, 9, -13, -1, 22],\n [19, 6, 4, -5, 16, 19, 14, 18, -18, 15],\n [16, -19, -23, 11, -23, -8, 25, 16, -17, -2],\n [-19, 7, -1, 16, 8, 12, -5, 12, 14, -8],\n [13, 24, 7, 2, -1, -12, -6, 13, -6, -19],\n [-22, 5, 4, 11, -5, -25, -23, -13, -19, -20]]\nB =\n[[-20, 8, 6, -10, 12, -18, -5, -15, 24, -3, -20],\n [20, -11, -15, 1, -11, 19, 12, -22, -12, 19, -16],\n [3, -14, 14, -6, 11, -24, -6, -14, 12, 4, 21],\n [-8, 24, -16, -19, 16, -21, 22, 3, 25, 9, 13],\n [25, -14, -16, 11, -24, -23, -12, 21, -6, 19, 23],\n [-22, 25, 0, 21, -11, -17, -23, -24, 13, 15, 4],\n [11, -9, -23, -17, -18, -17, -9, -2, -18, -12, -10],\n [-8, 23, -2, 13, 21, 1, 2, -19, 8, 1, 8],\n [13, -7, -20, 4, 2, -14, -11, 19, 13, 13, -11],\n [10, -23, -25, -19, -17, -25, -21, 21, 10, -16, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3651", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 11) of the product of the following matrices:\nA =\n[[-3, 13, 3, -7, 12, 21, -6, -14, -15, 9],\n [23, -19, -3, 24, -9, 22, -24, -21, -5, -13],\n [-15, -2, 7, 1, 9, -8, -5, -22, 15, 6],\n [17, 23, -15, -23, 25, -5, 17, -12, -20, 25],\n [3, 5, 21, 2, 17, 24, 10, 2, -7, -23],\n [-14, 10, -2, -14, -2, -25, 2, -10, -5, 4],\n [8, 0, 9, 5, -10, 16, 3, 3, -17, -12],\n [-18, -24, -15, -24, 21, -8, -21, -19, -3, -7],\n [-7, 22, -7, 23, 19, 14, 2, -15, 24, -15],\n [-17, -12, 8, 3, 23, -5, 22, -21, 7, -17],\n [-23, -12, -8, -14, -3, -12, -10, 11, -6, -6]]\nB =\n[[-11, 15, -1, -9, -14, 19, 16, 13, -19, -18, -2],\n [21, -1, -5, 24, 7, -16, -4, -7, 3, -23, 13],\n [-22, 11, 5, -20, 2, -16, -14, 20, -24, -23, -25],\n [9, -2, 21, 22, 8, -6, -10, 4, 21, 13, -1],\n [-21, 3, 11, 2, 15, -3, 6, 20, 25, -8, 15],\n [9, 17, -2, 21, 2, 10, -5, -21, 0, 24, -3],\n [18, 7, 0, -4, -6, -24, 15, -8, -21, 6, 20],\n [-15, -5, -4, -23, -17, -24, 20, 2, 8, -16, -7],\n [3, -24, 22, -20, 18, -19, 10, -18, -7, -16, 7],\n [11, 12, 1, 3, -7, -8, 25, 25, -3, -25, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-23, -16, -19, 23, 0, -10, 13, 19, 6, -14],\n [18, -18, -18, 19, -15, 7, -1, -9, 5, -7],\n [19, -11, 18, 23, 9, 13, -24, 8, -1, 12],\n [-22, -10, 6, -11, 16, -12, 15, -11, -19, -19],\n [-18, -7, -8, -9, -8, -7, 14, -13, -15, 25],\n [-19, 1, 11, -21, -18, -16, 11, 0, -11, -10],\n [3, 2, -16, 14, 25, -22, 20, 14, -12, 18],\n [7, 25, -8, -14, -16, -5, 7, -12, -17, 0],\n [-11, -5, -4, 20, 15, 17, -21, 18, -10, 9],\n [-21, 0, 0, 25, -21, 24, 10, -2, -11, 4],\n [-21, 14, 22, -4, 7, -21, 6, 24, 22, -3]]\nB =\n[[-16, 10, 24, -9, 1, 19, -18, 14, 18, 24],\n [-20, -19, 0, -9, 11, -3, 1, 25, 14, -7],\n [1, -1, 14, -1, -5, -1, 25, -19, 9, -20],\n [14, 24, -11, -2, 23, -22, -19, 4, -9, 12],\n [4, 19, 13, -17, -7, -13, 21, 23, 11, -7],\n [-20, -14, -11, 21, -23, -22, 11, 12, -20, 23],\n [2, -18, 25, 5, -5, 19, 3, -11, 23, -2],\n [-5, 23, -3, 5, 8, 2, 6, -4, -23, -17],\n [-20, -25, -4, 25, -22, 19, -18, 11, 16, -7],\n [18, -25, 15, -2, 22, -9, 6, 24, -12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 10) when matrix A is multiplied by matrix B?\nA =\n[[6, 7, 4, 21, 25, 8, 2, -2, -12, 8, 21],\n [-25, -4, 7, 18, 21, -8, 21, 13, -14, -16, -24],\n [-24, -20, -6, 12, 2, 16, -23, 22, 11, 11, 16],\n [-1, -3, -13, -2, -23, 24, 25, 12, 2, 0, -6],\n [1, -25, -16, -16, -25, 6, 25, 6, 17, 1, -13],\n [-9, 2, -1, 24, 10, 21, -24, 6, 6, -20, 5],\n [-17, 17, -10, -1, 14, 2, -9, 5, -3, 5, 0],\n [-22, 13, 17, 17, 17, -11, 11, 12, -3, -21, 15],\n [17, -1, 4, 0, -23, -22, 21, -8, 11, -15, -15],\n [10, -10, 17, -1, -25, 0, 19, 4, 25, -20, 1]]\nB =\n[[-7, 12, 19, 17, -7, 13, 18, 6, 22, -25],\n [-1, 21, -13, -16, -8, 10, -4, -20, 1, -18],\n [-2, -6, -4, -17, 14, 24, 13, -7, 24, -25],\n [-15, 15, 16, -16, -25, 1, -9, 18, 18, 25],\n [-9, 13, 17, -24, 22, -3, 15, -16, 16, 4],\n [9, -1, -9, 20, -7, -8, -8, 20, 9, -16],\n [-3, 19, -4, 18, -17, 6, 0, 3, 16, -7],\n [22, 3, 9, -14, -18, -1, 1, 21, 17, 19],\n [-20, -13, -15, 12, -20, -21, -19, -7, 17, -20],\n [-1, -17, -6, -1, 24, -18, 24, 11, 12, -24],\n [-4, 10, 25, -22, 22, -25, 22, 7, -2, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-751", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-21, 22, 9, 16, 24, 24, 0, 23, 17, 15],\n [17, 0, 15, 23, -21, 18, -8, -1, 22, 15],\n [14, 12, 23, 20, -5, -2, 2, 20, -22, -18],\n [23, 7, -23, 23, -6, 9, 13, 17, 21, -19],\n [1, -21, 23, 11, -25, -4, -19, 23, -18, 18],\n [4, 2, 0, 8, 23, 6, -4, -6, -12, -3],\n [-23, -7, -12, 14, 13, 11, 9, -25, -7, -11],\n [-1, -25, 5, 11, 17, 20, -4, 24, -6, 15],\n [21, 17, -21, -11, -24, -14, -19, -24, -18, -17],\n [1, 2, 11, -11, -7, 4, 25, -13, 19, -20],\n [4, -25, 16, 12, -1, 9, 0, -13, -7, -16]]\nB =\n[[19, -19, -11, -3, 10, 17, 5, -18, 4, 8],\n [7, -25, -10, 24, -15, 1, -4, 14, -7, 18],\n [-20, 22, 14, 13, -6, -23, -25, -3, 12, -23],\n [25, 8, -9, 22, 1, 13, -3, 12, -15, -11],\n [0, -15, -19, 21, 22, -18, -21, -9, -3, -24],\n [1, -5, -19, 12, 0, 4, -14, 22, -15, -9],\n [-16, 22, -10, -11, -11, -6, -22, 6, -4, 9],\n [-12, 4, 5, -16, -20, 1, -15, 10, -16, -10],\n [-2, -5, 14, 15, 10, 23, 16, 19, -3, -5],\n [6, -9, 25, -9, -5, -22, -3, -1, 6, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1455", "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, 12, 16, 12, 15, 19, -10, 6, -10, -7],\n [11, 17, -5, -11, 0, 4, 14, -11, 17, -13, 1],\n [-3, 8, 8, -3, 18, -6, -17, -6, 21, 13, -12],\n [23, 0, 1, 8, 3, 6, 15, 19, -21, -22, -3],\n [-5, 7, 15, -2, -10, 6, -7, 0, -23, 9, 13],\n [-8, -19, 6, -2, -10, -2, -22, 19, 6, 16, 8],\n [-7, -12, 12, -13, -4, 5, 18, 18, 4, -3, -14],\n [17, -12, 10, 19, -18, -2, -23, -12, 25, 24, -15],\n [19, 12, 2, -3, -8, -6, 7, -24, 13, 11, 0],\n [25, -24, -23, -6, -16, 16, -5, 14, -17, -24, 2],\n [-23, -10, -22, -3, 4, 12, -13, -20, -16, -9, -18]]\nB =\n[[-17, 8, -9, 17, 24, -4, -23, 15, 14, 3, 13],\n [1, 13, 14, 11, -23, -7, 8, -12, -5, -24, -16],\n [16, -9, -24, 1, -25, 24, 10, 7, -4, 23, 9],\n [8, -8, 10, -23, 18, -10, -15, -16, 25, 16, -5],\n [-1, 9, -20, 20, 18, -18, 8, 15, 20, -25, -23],\n [12, 1, -13, 17, 21, 24, -7, -7, -20, 21, -12],\n [-21, 17, 19, 19, 10, -17, -3, 6, 3, 19, 2],\n [14, -15, -7, -25, -17, -24, -22, 3, -22, -25, 2],\n [-8, 20, -13, 14, -20, 23, 17, 21, 13, -4, 4],\n [1, -18, 17, 2, -24, -6, -15, -12, -2, -13, -18],\n [18, -5, -4, -17, 16, 17, -15, -10, 24, -17, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65979", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 25, 16, -13, -25, 18, -15, -2, -21, -24, -9],\n [-9, -6, -11, -22, -15, -3, -25, 16, 24, 21, 25],\n [-22, 12, -24, 19, 1, 8, -13, 21, -8, -15, -21],\n [3, -1, -12, 22, 20, 15, 12, 15, 11, -15, 18],\n [6, 23, -20, -20, 21, 23, -4, -23, -7, 8, 15],\n [15, -19, -10, 12, -17, -13, 8, 20, 11, 17, 21],\n [-20, 12, 22, -22, -21, -20, -13, 20, -2, 2, -13],\n [16, 23, -8, -19, -22, 5, -2, -4, -5, 22, 16],\n [0, 4, 25, 9, 25, -3, 19, 14, 24, 4, -7],\n [6, 24, -7, -4, -22, 19, -14, -11, -11, -16, -7]]\nB =\n[[-18, 25, 5, -17, 3, -19, -18, 15, -9, -11],\n [-10, -19, 16, -7, 12, -1, -14, 6, 21, -16],\n [-2, 24, -22, 17, 11, 19, 16, 13, 17, -22],\n [10, 11, -1, 15, 4, -25, 3, -10, 11, 11],\n [-19, 14, 25, 7, 24, -4, 17, 1, 3, -10],\n [-5, -15, -5, -17, 1, 13, -4, -11, 17, -3],\n [25, 3, 13, -10, -23, -10, -18, 0, 16, -17],\n [9, -19, -18, 9, 22, 20, 13, 10, -20, -19],\n [-14, 13, -25, 24, 17, 17, 23, -1, -14, 1],\n [-3, -7, -5, 24, -5, -2, -13, 16, 25, 10],\n [-11, 24, -25, 25, 8, 16, 5, 24, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67691", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -16, -5, 10, -2, 1, -5, -8, -22, 21],\n [-8, -17, 23, 4, 9, 19, 4, 13, 20, -20],\n [-12, 20, 3, 6, -12, -6, 24, -17, -14, -12],\n [-3, 22, 8, -10, -8, 15, 14, 7, -21, 13],\n [-16, -4, 17, 18, 7, 5, -20, 10, -23, -22],\n [1, 12, -1, 11, 1, 15, 10, 20, 21, 10],\n [20, 16, -19, 4, 24, 21, 3, 14, 15, -21],\n [-20, 18, -19, 13, 6, -11, 25, -13, -8, -16],\n [14, -15, 14, 14, 21, -24, 1, 19, 24, 18],\n [-18, 23, 12, -10, -2, -3, -12, 1, -16, 2],\n [-1, -24, 19, 7, 24, 20, 9, 21, 15, -13]]\nB =\n[[-21, -21, -4, 8, -25, -9, 25, 23, -17, -16],\n [-11, 19, 3, -1, -5, -9, 1, 2, -3, 13],\n [10, -23, 7, -19, -21, 0, -9, -9, 21, -23],\n [-23, 8, -18, 19, -20, 11, 19, -4, 7, 24],\n [-19, 23, 14, -7, 22, 20, -16, -3, -24, -5],\n [-2, 22, -13, -21, -8, -15, 11, 6, 2, -4],\n [19, 2, -25, -20, -15, 16, 7, -10, -13, -5],\n [22, 21, 13, 20, -2, 17, 1, 19, 11, 24],\n [-23, -14, -19, -6, -11, -25, 25, -16, -12, -11],\n [8, 23, -1, 5, -16, 11, -20, -20, 2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8198", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-12, -13, -13, -16, -10, 13, 9, -11, -3, 11],\n [-18, 0, -4, -21, 8, 1, -7, 17, 17, 9],\n [19, -6, 25, 21, 12, -13, -8, -8, -25, 6],\n [-1, -5, 1, -15, 22, -25, -7, 6, -18, -7],\n [-10, 9, -24, -14, 3, -16, -4, 8, -5, 11],\n [-21, -20, 6, -23, -16, -21, -2, -6, 11, 5],\n [21, -9, 23, -2, -8, 0, 16, -19, 17, -12],\n [15, 23, -24, 4, 23, -9, -6, -16, -2, 18],\n [-14, 1, -11, -17, -8, 22, -19, 2, 20, 10],\n [-23, 18, -10, 10, -22, 9, -17, 20, -14, -16]]\nB =\n[[20, 18, 18, -24, -7, -13, 16, 7, -25, 2],\n [14, -20, -23, 19, -1, 18, -10, 17, -22, -18],\n [13, -10, 18, 12, -3, -20, 17, 18, -10, -10],\n [-3, -10, 10, -14, 11, -17, -8, -17, 22, -5],\n [-25, -3, -21, -7, 9, 7, 20, -8, 14, -12],\n [-6, -13, -10, 15, 5, 13, 9, -6, -25, 14],\n [20, -13, -19, 19, -4, -19, -6, 11, 10, -22],\n [-20, 20, -23, -23, -23, 10, -17, -10, 25, -10],\n [-14, 12, -6, 5, 4, -5, -23, -5, 2, 2],\n [-21, -19, -21, -17, 21, -5, -6, 12, 14, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1378", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 16, 2, 5, 7, 6, 6, 22, -3, -5, -1],\n [7, -23, -20, 23, 2, -24, 6, 0, -21, -15, -16],\n [-11, -8, 23, -12, 2, 4, -13, -6, -24, -1, 18],\n [17, 25, -14, -1, -22, 16, -14, -19, 12, 14, 6],\n [17, -20, 1, 9, -5, -6, -7, 7, -22, -7, 23],\n [2, -4, 25, -2, 20, 4, 3, -16, 6, -17, -1],\n [-10, -11, 22, -8, -3, 16, -23, -19, 13, -15, -2],\n [9, 24, -1, 2, -14, -3, -9, 15, 11, -8, -17],\n [19, 9, 10, -8, -6, -5, 21, -6, -20, -17, 17],\n [3, 3, -13, 10, 1, 21, 23, 18, -20, 13, 6]]\nB =\n[[23, 17, 18, 2, 19, -25, 24, 25, 17, 5, 4],\n [-8, 3, 16, 12, -3, -4, -24, -21, 16, -11, 6],\n [20, -20, -12, -2, -5, -12, -14, -22, 18, -5, -9],\n [3, 25, -10, -8, 12, 15, 25, 18, -15, 6, 2],\n [-10, 8, 24, 4, 12, -4, -21, -17, -13, 13, -3],\n [1, 6, 5, 7, 16, 0, -8, -14, -23, -21, -12],\n [21, -14, -22, -10, -15, 10, 12, 22, -24, -13, -18],\n [18, -5, 0, 12, 9, -11, 14, 4, -24, -10, -13],\n [-25, 17, 2, -25, 14, 8, -13, -24, -22, -1, 8],\n [-13, 10, 6, -5, 0, -11, 3, 0, -5, -14, -14],\n [-21, 16, 0, 6, -24, -18, 1, 11, -18, -2, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8443", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 9) of the result:\nA =\n[[3, -13, -3, 21, -11, -2, 17, -3, -16, 12, -21],\n [-21, 5, 14, -25, -24, 23, 3, -19, 3, -17, 10],\n [-19, 2, -16, -10, -16, 13, 0, 8, 8, 14, -12],\n [-8, -25, -9, 23, -4, 11, -10, -19, -11, 25, -5],\n [-24, 22, -1, -17, -6, 24, -16, -5, -22, 4, 8],\n [4, -12, -4, -25, -18, -15, -25, -21, 19, 23, -16],\n [13, -13, -5, 10, 19, 7, 17, 2, -17, 19, -15],\n [14, 3, -19, 1, -4, 5, 4, 2, -6, -11, -11],\n [-14, -9, -3, -20, 19, -10, 1, -3, -25, 19, -19],\n [19, 13, 14, 24, 23, 22, 23, 14, 13, -8, 10]]\nB =\n[[-4, -24, 22, 0, 24, 6, -3, 14, 20, -8],\n [-7, -2, -22, 20, -24, 4, 23, 12, 5, 14],\n [-10, 7, 24, -23, -8, -16, -24, 25, 4, 4],\n [-1, 17, 25, -2, 9, -16, 22, 4, 0, 9],\n [-2, 25, -6, 13, 23, 14, 9, 13, -16, 1],\n [25, -11, -11, 11, 9, -23, 3, -22, 21, -10],\n [-21, -5, 14, 16, -5, -24, -12, -21, -19, -15],\n [9, 4, 18, 20, -25, -10, 21, -25, -4, -13],\n [1, -11, -9, -17, -21, -3, 18, 23, 17, -15],\n [-2, -18, 21, 8, 16, 5, -4, -12, -21, -9],\n [-8, -7, -19, 0, -1, -8, 18, -11, 3, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "521", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 1) of the result:\nA =\n[[16, 23, -25, -22, -17, 10, 25, 6, -2, 11],\n [-8, -11, -6, 14, -24, -1, -13, 1, -13, 2],\n [20, -11, 3, -5, 18, 5, -3, 11, -23, 24],\n [9, -12, -24, 24, -13, -24, -14, 1, 8, 14],\n [-21, -1, -15, -13, 2, -5, 23, 22, 25, 0],\n [1, 0, -11, 24, -20, -22, -22, 4, -13, -17],\n [16, -12, 2, 14, -23, 15, 3, 7, -11, 21],\n [13, -11, -19, 19, -14, 24, 13, -19, 21, 15],\n [-20, 0, -17, 25, -2, 4, -10, 22, 1, 7],\n [-3, 19, -7, 10, -7, -4, 16, 19, 7, 19]]\nB =\n[[-16, 21, 6, -11, 13, 20, -18, 25, -1, -8],\n [-11, 0, 15, 18, -5, -4, 20, 8, 11, 11],\n [-12, -22, -2, -24, -25, -24, -13, 1, -9, 19],\n [-9, -21, -2, -18, 18, -17, -8, -10, 25, 6],\n [14, 13, 15, 18, 20, 6, 16, 22, -24, 12],\n [17, -22, -21, 11, 23, 11, 0, 17, -17, -11],\n [-2, -2, 9, 22, 15, -1, 0, -3, -20, 15],\n [1, -7, 5, 12, 17, 6, -24, -8, 2, -19],\n [-3, 10, -2, 2, -1, 13, 23, -22, 19, -7],\n [-22, -13, -25, 8, -19, -1, -3, 4, 23, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-785", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[19, -9, 7, -24, 12, 18, -13, 6, -4, -17],\n [-9, -8, 14, 14, 1, -15, 2, -18, 24, -8],\n [-13, 7, -11, -4, 12, 4, -20, 19, 8, -7],\n [23, 7, -12, 22, 21, 15, -7, 14, -11, -16],\n [-24, 24, -24, -5, -14, -16, -14, 13, -24, -25],\n [-24, -3, 2, -9, 14, -5, 18, 8, -17, -9],\n [23, 16, 19, 6, -21, -12, 20, 21, -1, -4],\n [-21, 12, -17, 5, 15, -5, 10, -25, -4, -3],\n [-3, -11, 20, -25, -20, 14, 9, -9, -3, -6],\n [2, 11, -8, -19, 23, 21, -6, -2, -10, -13]]\nB =\n[[2, -19, -11, -3, -3, 5, -21, 1, 18, -16, 25],\n [16, -19, 6, -3, 21, -17, 3, 1, 12, -5, 17],\n [-20, 0, -6, -11, 19, 12, -6, -11, 3, -20, -10],\n [-25, -20, -10, 7, -19, -16, -18, -5, 0, 11, -8],\n [-22, -6, 22, 16, 22, 14, -7, 7, -3, -17, 12],\n [19, 19, -8, 20, -24, 22, -9, -10, 20, 19, 22],\n [-2, 5, -25, 2, 23, 7, 16, 11, 13, -22, -25],\n [7, -16, -23, 11, 19, -5, -17, 14, 17, -2, 20],\n [-18, -2, -2, -16, 9, -22, 18, -17, -15, 17, 22],\n [-13, 1, 4, 20, 13, -14, -7, 14, -22, 23, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8775", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (8, 4) of the product matrix AB given:\nA =\n[[-3, 19, 0, -19, -8, 16, -22, -18, -4, 0, -13],\n [20, -9, 18, 10, 15, 21, -11, -8, 1, -20, 8],\n [15, -21, -14, 3, 11, -14, -1, 21, 8, -15, -3],\n [-2, 25, 23, -8, -16, -21, 5, -1, -9, 2, -25],\n [19, -24, 23, 21, 14, -24, 1, -18, 1, 11, -9],\n [-22, 18, 24, 12, 5, -21, -1, 2, -7, 11, 16],\n [-3, 25, 10, 19, -13, -9, 24, 25, 4, -3, 23],\n [-23, -13, 6, 19, 9, -24, 21, -23, 22, 3, -16],\n [-6, 8, -11, 14, 19, -25, 0, 6, -24, 6, 15],\n [3, -6, -3, 25, -14, 18, -16, -7, -16, -7, 0]]\nB =\n[[-2, -17, 3, 3, 11, 2, -23, -3, 25, -22, -12],\n [12, -13, 2, 13, 18, -6, 2, 6, -12, -13, -15],\n [12, 13, 16, -11, -17, -23, -21, 2, 16, -11, -23],\n [24, 9, -19, 4, -2, 5, -12, -10, 25, -22, -23],\n [9, -17, -22, -7, -2, -15, -11, 10, 5, -18, -24],\n [24, -23, -23, -5, 25, -14, -12, -3, -13, -10, -9],\n [-8, -13, 0, 19, 14, 13, 5, 14, -9, 6, -25],\n [9, 10, -7, 2, -24, 3, 17, 3, 17, -7, 2],\n [8, 5, 11, -7, 6, 3, -17, -19, -14, 25, 5],\n [-8, 2, 24, -5, -17, 8, 8, 21, -2, -10, 2],\n [20, 25, 21, 9, -20, 12, 15, -15, -22, -12, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, 23, -18, 17, -2, -15, 22, 9, -1, -3, 21],\n [19, -19, -21, 6, 2, 18, -23, 4, 18, -21, 25],\n [25, 7, -6, 4, 18, -4, -4, 12, 3, -5, -8],\n [22, -15, -16, 9, 0, 24, 18, 20, -22, -16, 13],\n [-10, 15, 4, -23, 8, -1, 12, 16, 10, -22, 16],\n [-16, -13, -20, -19, 2, 11, -11, 4, 14, -16, -14],\n [-9, 22, 4, -25, 10, 14, -2, 12, -5, 16, 6],\n [-8, -13, 11, 18, -5, -8, 14, 20, 21, 0, -21],\n [-21, 5, 2, 23, -13, 23, -15, -25, -2, -13, -8],\n [-2, 3, 2, 12, 19, -4, -6, -15, 25, -6, 15],\n [-13, 21, -2, 17, -2, 22, -9, -21, 4, -12, -11]]\nB =\n[[-17, -12, -16, -4, 5, -13, -9, -25, -12, 18],\n [13, 9, -25, 1, 19, -4, 8, -17, 24, 10],\n [22, 6, 12, -6, 1, -23, -15, -2, 3, -21],\n [7, -18, -7, -22, 15, 9, 4, -21, 22, 14],\n [12, -23, -10, -18, 19, -21, 12, 9, -18, 10],\n [-1, 23, -18, -5, 25, 20, -17, 6, 18, -13],\n [-3, -18, 9, 2, -11, 3, 25, -22, 8, 11],\n [-2, -5, -24, -19, -15, -14, -22, 9, 14, 0],\n [-8, 11, -10, -14, 15, 14, 11, -7, -11, -4],\n [-6, 17, -13, -3, 5, 0, 19, 6, -5, -9],\n [3, 3, 22, -4, 23, -7, -12, 13, -3, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4614", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-24, 25, 6, 12, 7, -19, 22, 8, -22, -3, -6],\n [-4, 20, 3, 17, 15, 11, -23, -4, -6, -1, 8],\n [16, 3, -16, 13, 21, 11, 14, 24, -6, 12, -3],\n [-15, -18, 3, 10, -1, 13, 8, 21, 6, 15, -3],\n [-5, -7, -1, -3, -7, -21, -7, 9, -14, 13, -1],\n [-21, -14, 1, -22, -7, 19, 21, -2, 16, 2, 7],\n [9, 24, -10, -14, -10, -15, 17, 2, -3, 20, -9],\n [-7, -15, -22, -16, -7, 10, 17, 13, 15, -4, -24],\n [7, 14, 1, -7, 22, 20, -22, -7, -1, -20, 21],\n [-13, 25, -4, -22, -24, -23, 20, 4, -22, 22, 17],\n [3, 19, 7, -13, 21, 13, 6, 2, 11, 2, 1]]\nB =\n[[-1, 4, -20, 4, -17, -20, 3, -3, -20, -4, -24],\n [5, -20, 16, -21, -6, -14, 12, 12, -18, 23, 24],\n [17, 7, 13, 14, 5, -23, -7, 22, -18, 4, 5],\n [3, -20, -24, -3, 18, 4, 12, 20, 13, -17, -19],\n [21, 18, 23, -11, -11, -5, -12, -15, -15, -6, -13],\n [19, 4, 14, 13, -6, 19, 17, 25, 12, -18, 25],\n [11, 16, 7, 0, 18, 13, -18, -8, 13, -12, -8],\n [-5, -3, -22, -16, 17, -15, -6, -7, -25, 5, -24],\n [15, 23, -21, 8, -22, 1, 13, 23, -23, 0, 15],\n [-25, -10, 9, -7, -10, 7, 5, -4, 18, -6, -20],\n [9, 13, -23, 6, -13, 22, -12, 15, -18, 21, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69943", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 7) of the product of the following matrices:\nA =\n[[19, -12, -15, 24, 9, 10, -23, -1, -13, -10],\n [2, 19, 1, -16, -8, -18, -19, 23, -4, 12],\n [21, -17, 16, 14, 13, 3, 11, 24, 22, 21],\n [16, 3, 2, -5, 7, 0, 12, -11, -24, -14],\n [7, -11, 19, -25, 7, -22, 2, -12, 23, 19],\n [-14, -20, 25, -6, 22, -5, -10, -14, -6, 19],\n [7, 24, -24, 8, 0, 7, 16, 4, -25, 20],\n [-18, -25, 20, -16, 6, 25, 14, -24, 5, -22],\n [-14, 5, 15, -3, 7, -18, 23, -10, -11, 15],\n [14, 0, -12, -14, 1, 21, 5, -22, 4, -22],\n [5, 8, -22, -6, -8, 21, -18, 16, -24, -17]]\nB =\n[[-10, -4, -14, -21, 13, -11, 19, -18, -2, 25, -7],\n [11, -8, -5, 23, 13, -12, -11, 23, -23, 19, -15],\n [-23, 4, -20, -20, 5, -4, -5, 12, 12, -20, 3],\n [20, -15, 22, -4, 25, 13, -20, 4, 17, -1, 10],\n [-25, -4, -17, 19, -18, 8, -10, -7, -18, -14, 17],\n [15, 5, 16, 7, -7, 1, -2, 23, 2, -22, -14],\n [-3, -6, 14, 2, 22, -25, 15, -15, 18, 5, 15],\n [12, -17, -20, -20, -23, 6, 9, -10, -24, 10, 15],\n [-19, 9, 4, 19, 20, 3, 15, -25, 18, -25, 15],\n [-19, -23, 10, 13, 5, -1, 21, -2, -25, 12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[11, -15, 23, -23, -14, -6, 4, -16, 13, -11],\n [-5, -8, 6, -7, 4, 7, -4, 19, 3, -2],\n [-22, 24, -14, 10, -22, -21, -7, 15, 13, 5],\n [-19, -14, -16, 3, -5, -13, -3, -20, 5, -17],\n [25, -2, -10, -15, 10, -25, -5, 18, 10, 11],\n [-20, -12, 3, -25, -18, 21, 18, -7, -3, 13],\n [15, -15, 1, 14, 10, 16, -6, 16, -18, 20],\n [10, 0, 9, -23, -22, 18, 3, 24, 2, -7],\n [17, 2, -8, -12, 17, -12, 3, -23, 8, -17],\n [14, -21, 3, 15, -21, 19, 17, 17, 18, 25],\n [-13, 0, -17, -22, 13, 5, -21, -19, 2, 14]]\nB =\n[[-12, -2, 16, 12, -21, 21, 22, 8, 2, 21, -18],\n [-5, -2, -2, -13, 23, -11, 20, -1, 25, 19, 2],\n [13, -18, 5, -19, 25, 21, 13, -9, 24, 25, 9],\n [-4, -19, -16, 2, 13, 17, 3, 9, -4, -17, 10],\n [-18, 4, 4, 5, -4, 18, 5, 14, 21, 2, 20],\n [-21, -9, -15, -4, 21, -1, -13, 10, 19, 19, -15],\n [-21, -12, -4, -23, 24, 9, 6, 12, 14, -2, 2],\n [-5, 23, 7, 2, 13, 24, 10, -16, 11, 14, -1],\n [19, -9, -22, -16, -1, 6, -18, 16, 19, -14, -5],\n [19, 1, 4, -16, -5, -25, -17, -23, 23, 16, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2230", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-20, -19, 17, -10, 10, -22, -8, 6, 6, -8, 13],\n [17, 11, 2, 24, 13, -24, 11, 11, 25, -24, -7],\n [-21, 18, -13, -4, -19, -24, -12, -1, 0, -21, -6],\n [-14, 10, 5, -9, -10, -16, 9, 7, 12, 9, 25],\n [1, -19, 1, 15, -14, 20, 7, -13, -24, -23, -15],\n [-21, -24, 20, 2, -13, 20, 9, 14, -13, -14, -8],\n [-8, -9, 13, -4, -13, 19, 12, -7, -2, -7, -5],\n [-2, 4, 2, 22, 9, 20, 12, -9, 22, 8, -17],\n [-13, -12, 0, -5, 18, -6, -15, 25, 16, 24, 9],\n [22, 5, -8, -12, 23, -21, -9, -5, -12, -23, 5]]\nB =\n[[-1, 21, 18, -9, 0, -9, -7, 1, -19, 0, -21],\n [-24, -10, 19, -15, 13, -3, 9, -20, 11, -25, 7],\n [-8, -23, -7, -16, -6, -15, 6, 14, -6, 6, 17],\n [11, -4, -22, -13, -20, 3, -24, -1, 6, 0, 0],\n [12, -4, -16, -3, -22, -10, 16, 7, -13, 20, 18],\n [-13, 7, -12, -18, 0, -4, 20, -25, 23, -10, 18],\n [3, -3, -21, -5, 24, 10, -6, 17, -18, 0, 15],\n [-1, 16, -19, 25, -4, 7, -21, 12, -14, 18, -12],\n [-19, 2, 20, -10, 15, -24, 23, 5, 10, -12, 20],\n [2, 21, 6, 2, -14, -13, -4, 16, 22, 3, 4],\n [-11, 14, -22, 7, 20, -17, 25, 12, -10, 0, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1751", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -15, 20, 17, 0, -12, -25, -15, 4, -2],\n [24, 23, -22, -4, 20, -18, 21, -10, 7, 7],\n [-16, -24, 18, -22, -3, 25, 1, 7, 7, 15],\n [-6, -13, -15, -7, 23, 6, -23, -13, 2, -4],\n [-7, 5, -6, -2, 6, -17, 25, -7, -3, -1],\n [7, 23, 20, 18, -24, -23, 2, 11, 9, -12],\n [-2, 24, 11, -23, -3, 8, -17, -8, -24, -4],\n [25, 9, 5, 0, 24, -12, 19, 22, 2, -15],\n [6, -5, -3, -2, -14, -23, -20, 22, -14, -6],\n [-20, -6, -12, 15, 23, 18, -25, -6, -4, 14]]\nB =\n[[5, 5, 2, -14, -10, 7, 9, 18, -22, -16, 8],\n [15, -23, 5, 5, -25, -21, -21, -24, -11, -25, -5],\n [11, -19, -15, 0, 16, -24, 4, -12, -21, 5, 22],\n [6, 8, -16, 5, 1, -8, -21, -9, -15, -21, 12],\n [22, 11, -5, -2, 4, -10, 23, 15, -4, -24, -7],\n [23, 11, -24, -15, 7, -17, -1, -20, -15, 1, -18],\n [19, 5, 1, 18, 15, 21, -21, -11, -24, -11, 5],\n [-6, -23, 16, 13, -16, 0, -16, 14, -13, -5, 8],\n [18, 6, -17, 4, -25, -14, 18, 9, -2, 14, 19],\n [23, -16, 21, -2, 15, -8, -18, 20, 17, -13, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63584", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-12, -17, -17, 25, -21, 21, -15, -7, 12, -16],\n [-10, 3, -21, -8, 25, 16, 16, 18, 9, 10],\n [-4, -2, -14, 13, -14, 9, 24, -7, 11, -12],\n [-3, 14, -4, 21, 22, 24, -15, -24, -16, 17],\n [-21, 4, -5, 23, 7, -1, 20, 21, -19, 14],\n [2, -10, 19, 11, -23, 19, -7, -14, -7, 23],\n [-15, -23, -24, 20, 0, -4, -9, 8, 24, -11],\n [-14, -10, -10, 13, -20, 20, -18, -1, -7, -7],\n [-14, -17, 15, 3, 1, -21, 0, 4, -12, 7],\n [9, -15, -22, 7, -20, 2, -16, 10, 23, 0]]\nB =\n[[4, -4, -21, -24, 7, -10, -19, -5, 9, 20, -4],\n [25, 22, -4, -20, 7, 13, 17, -1, -8, 15, 9],\n [-2, 14, 14, -3, 7, 3, -16, -11, -16, 0, 14],\n [3, 8, -8, -24, -1, -5, 25, 5, -4, -17, 1],\n [-1, -1, 1, -16, 4, -22, -5, 4, 7, 17, 0],\n [-24, -3, 5, -22, 21, -6, -1, 19, -25, -24, -20],\n [-19, 25, -22, -8, 15, 17, -21, -1, -25, 8, -23],\n [-9, 6, -2, -24, -25, 8, -18, 19, 20, 18, -17],\n [2, -7, -6, -19, 16, 9, -7, -9, 14, -8, -19],\n [1, 13, 4, -3, -6, -3, 0, 22, 21, -12, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "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, 1, -17, -3, -16, 21, -3, -16, -24, 11, 14],\n [12, 12, -25, 22, -8, 9, -19, 18, 16, -4, -1],\n [16, -3, -17, 1, -15, 25, 1, 14, 2, -8, 10],\n [8, -13, 20, 4, 2, -4, -2, 21, 4, 19, 12],\n [-6, -20, 7, 21, 12, -11, -11, 6, -12, 16, -18],\n [10, -4, 12, -6, -2, -5, 2, 23, -3, -2, 13],\n [18, -3, -22, 20, -22, 4, 22, 2, 5, 7, 24],\n [-7, -16, -1, 11, -13, -20, 4, -3, 10, -10, -18],\n [-10, -15, -25, -4, -8, 10, -15, -6, -16, 22, -16],\n [11, 24, -4, -15, 9, -17, -11, 25, -7, 11, -20],\n [10, 18, -21, -23, -16, -13, -22, 14, 7, 8, 10]]\nB =\n[[7, -5, 13, -21, 19, -13, 14, -9, -16, -16, -24],\n [12, -5, -25, 4, -8, 9, 13, 22, -4, -23, -20],\n [10, -10, -23, 10, -15, -9, -7, -18, -12, 0, 22],\n [-1, 25, 22, -16, 6, -11, -22, 2, -22, -13, -14],\n [-11, 3, -3, -13, 12, 20, 9, 14, -14, 4, 20],\n [-21, -24, 16, 4, 9, -16, -17, -9, 12, 4, 15],\n [9, -19, -14, 24, 16, 8, 23, -23, 7, 14, -13],\n [-15, 14, -6, 5, 7, 8, 24, 24, -17, -19, -17],\n [16, 0, -24, -21, 23, -24, -16, 5, 7, 18, 21],\n [-20, -12, -12, -11, 7, 5, -9, 17, -11, -6, 22],\n [-5, 3, -17, 3, 18, 8, 21, -17, 22, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71782", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-22, 14, 6, 6, -19, 12, 6, -21, 16, -23, -6],\n [-9, -10, -15, -13, -8, -12, 8, -14, -4, -5, 0],\n [16, 13, -24, 24, 23, -10, 8, -15, -7, 4, -19],\n [1, -4, -9, -11, -17, -14, -18, -24, 23, 22, -10],\n [-23, 25, 22, 5, 17, 0, 15, 20, -24, 4, -13],\n [11, -12, -25, 6, -20, -4, -15, 23, -3, -12, -12],\n [-6, -19, -7, 0, -4, -20, -13, -16, -7, 5, -16],\n [11, -13, -9, -21, -5, 13, -6, -19, -11, -11, -3],\n [7, 18, -24, 24, 6, -11, -19, -17, 2, -4, -23],\n [16, -24, -4, -1, -1, 6, 18, -19, 5, 11, -22]]\nB =\n[[7, -11, -17, -20, 20, 5, 8, 18, 12, -13, 10],\n [6, -4, 22, 3, -15, -20, -21, -25, 25, 13, 24],\n [-16, -16, 23, -2, -19, -4, -5, -4, 7, 18, -1],\n [5, 23, -10, -11, 3, -7, -9, 0, 10, 10, 9],\n [14, -3, -17, 8, 25, -8, -10, 6, 2, 6, 24],\n [-8, 18, 8, 3, -5, -25, -10, 23, 7, -5, 9],\n [1, -6, 5, -10, -12, 22, 6, 15, 6, -24, 19],\n [-4, 11, -9, 6, 12, -9, 8, -19, 3, -9, -2],\n [-18, -3, 7, 3, -7, -21, 11, -3, 0, -2, -5],\n [7, 0, -16, 16, 3, 9, 2, -14, 18, -19, -10],\n [-6, 3, 9, 2, -19, -4, -12, 10, -16, -24, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9006", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (8, 10) of the product matrix AB given:\nA =\n[[-10, 9, 21, 14, 22, -15, 17, 17, 7, 8],\n [7, -7, -6, -16, -7, 17, -14, -16, -19, 14],\n [-15, 24, -10, 7, 12, -9, 19, -1, 16, 5],\n [16, -25, 13, -6, -17, 17, -24, -25, 18, 13],\n [25, -21, -14, -12, 13, 6, 14, 20, 18, -17],\n [16, 16, 7, -1, 12, -12, -17, 1, 18, -7],\n [-1, 6, -4, 3, 2, 18, -13, 2, -23, 4],\n [-15, -24, 24, 24, -17, 7, 0, -10, -1, -25],\n [-5, -6, -21, -9, 14, 12, -25, -13, -8, -22],\n [21, -12, 22, -21, 7, 0, -22, 4, -9, 2],\n [-20, 1, 10, -19, -25, -16, -13, 15, 6, -12]]\nB =\n[[7, 4, -17, -20, -16, -15, 13, -6, -1, -14],\n [-4, -14, -12, 16, 22, 10, -12, -24, -24, 17],\n [17, -20, -1, -23, -3, -17, 5, 2, -1, 9],\n [-25, -24, -11, 17, 14, -10, -3, 23, 9, -18],\n [-19, -5, 9, 13, 11, 7, 11, 9, -8, -7],\n [-16, -22, 4, 19, 7, -22, -17, -9, 17, 13],\n [-2, 13, -13, 0, -7, -9, 24, 4, 0, -13],\n [23, -8, -5, 8, 25, 21, -17, 4, 3, 3],\n [20, -7, -18, 18, -9, -14, -11, -21, 8, 24],\n [-23, -21, 8, -17, -2, -21, 1, 23, -6, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-783", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[19, 15, -24, -3, 8, 3, 17, 9, 4, -23],\n [-16, 8, -25, -20, -20, 17, -10, -25, -21, -1],\n [1, 16, 12, 17, 0, -10, 19, 18, 24, 0],\n [19, 11, 2, 2, 4, -13, -1, 19, 25, -7],\n [-13, -15, 22, -3, -12, -16, 8, 14, -3, 14],\n [-5, -6, 6, -12, -2, 20, -8, 21, 4, 2],\n [22, -12, 16, -5, 8, -21, 5, -23, -3, 13],\n [18, 4, 16, 17, 4, 23, 10, 12, -19, -21],\n [-20, 23, -12, -15, 11, -24, 5, 20, 1, -10],\n [-24, 23, 0, -10, -17, -17, -21, 10, -19, 6],\n [3, 11, -23, 4, 14, 5, 22, 1, -20, 3]]\nB =\n[[-17, -6, 24, -15, -7, 13, -16, -21, 13, -3],\n [-20, 5, -8, -5, -11, 5, -16, -20, -2, 7],\n [2, 2, -16, -3, -11, 20, 22, 11, -12, 22],\n [-12, -19, 25, 10, -8, -11, 23, 7, 21, 22],\n [-4, 17, 15, -9, 0, -11, 14, -8, -18, -23],\n [25, -12, 8, 7, 11, 23, -25, 22, 9, -16],\n [-7, -15, 9, -24, -23, -11, 15, 21, 2, -24],\n [4, 12, -21, -20, -21, -14, -22, -2, -1, 0],\n [20, 20, 17, 7, -5, -3, 11, 11, -14, 11],\n [-5, -13, 17, 7, 18, -20, 17, -14, 12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66591", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 7) of the result:\nA =\n[[11, -8, -10, 19, -19, 20, -25, 2, 18, -23, 24],\n [17, 13, -16, 25, 19, -12, -11, -20, 13, 19, -10],\n [21, -8, 9, 22, -1, 7, 7, -7, 12, -15, 13],\n [-23, 12, -25, 14, -1, 6, 20, 10, -22, -3, -10],\n [-15, -4, 13, 7, 15, 12, -13, -5, -14, 25, 0],\n [23, -25, 15, -4, 1, 6, -18, 8, -8, -22, -25],\n [18, -10, 4, -3, 5, 2, 24, 11, -10, 15, -17],\n [-24, 20, 17, -24, 6, -10, 25, -13, 23, 1, 5],\n [7, -5, -7, 22, -13, -7, 9, 9, 7, -23, 22],\n [-5, 14, -3, 22, 19, 19, -15, -22, -22, -11, 2],\n [10, -18, -2, 8, -11, -3, 1, -12, -24, 9, 17]]\nB =\n[[-19, -10, -4, 2, 6, -19, -4, 17, -24, -18, -19],\n [12, 22, -5, 17, -4, 9, -8, -17, 23, -24, 16],\n [16, -9, 14, -6, -20, -15, -21, -16, -3, 7, 14],\n [10, 13, 25, 21, 8, -9, 0, 22, 1, 20, -23],\n [-7, -18, -9, 24, -25, -19, 10, -23, -7, 16, 1],\n [-23, 8, -21, 23, 11, 20, -10, -12, 4, 6, 25],\n [19, -14, 1, 0, 22, 3, -3, 23, -4, -6, 12],\n [20, -10, 5, -23, -5, 25, 13, -21, -6, -3, 6],\n [16, -17, -23, 1, 1, -16, -10, -2, -3, -17, -24],\n [-20, 11, 9, -19, -11, -5, 12, 10, -3, 3, -13],\n [-21, 21, 13, 13, 16, 19, 17, -25, -6, 17, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 14, 19, -19, 9, 8, 24, -21, 3, 24, 22],\n [1, -19, -25, -17, 21, -25, 1, -9, 6, 15, 4],\n [-11, 16, 2, -23, 2, -21, -24, 12, -10, 18, -9],\n [-14, 0, 23, -19, -2, -10, -8, -18, 1, 0, 5],\n [-8, -24, 15, -3, 22, 23, 16, -4, 7, -8, -11],\n [15, -23, 22, -3, 21, -24, 16, -22, 0, -7, 23],\n [-16, -4, -20, -25, 17, -10, -19, -2, 9, -12, -22],\n [15, -11, 18, 22, -3, -7, -12, 1, 10, 12, -4],\n [-15, -22, 6, 14, 15, -2, 8, -23, 12, -24, -3],\n [14, -6, -18, 9, 23, 17, -23, 6, 5, 18, 20]]\nB =\n[[5, -25, -14, -8, -2, 10, 3, -1, -3, -23, 4],\n [-9, 19, 23, 4, 23, -7, -21, 14, 8, -17, 13],\n [22, 18, 0, -21, -2, 5, -2, -5, -4, 12, -4],\n [-5, 4, 23, 21, -16, -23, 13, 3, -1, -24, -13],\n [1, 3, -12, -22, -18, -21, 18, 1, -2, 18, 17],\n [8, 2, -2, -21, -13, -8, -9, 4, 12, -7, -4],\n [23, 23, -8, 0, -11, 2, 4, 2, -6, -22, -22],\n [11, -11, 8, -15, -3, 9, 17, 9, -15, -24, -11],\n [14, 2, 5, 6, 8, 24, -4, 3, -18, -4, -14],\n [-3, 12, -24, -14, -5, -14, 19, 5, -17, -11, 6],\n [17, -17, -2, -18, 2, -8, 17, 11, 10, 11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 13, 23, 3, -8, -3, 7, 22, -17, 18, 25],\n [17, 12, -22, -10, -23, -18, -10, -24, 19, -7, -2],\n [-10, 25, 14, -24, 6, -25, 23, -8, 13, 6, -17],\n [-23, -2, -15, 2, -10, 3, 15, -14, 20, -22, 0],\n [-22, -15, -24, 5, 24, -23, -1, 8, -25, -21, 13],\n [5, 10, -23, 12, -14, -10, -18, -15, 19, -12, 1],\n [-8, -18, 7, -22, 23, 4, -6, 4, 1, -1, -20],\n [-21, -12, 25, -12, 8, 15, -1, 13, -8, -6, 17],\n [-18, 0, -5, 1, 6, 16, 24, -9, 23, -25, 1],\n [10, -15, 15, 15, 9, 12, 12, 16, 16, 23, 21],\n [10, -16, 14, -25, -4, -9, -14, 18, -13, -1, 0]]\nB =\n[[20, 14, 20, 13, 23, 17, 7, -18, -13, 0],\n [-9, -2, -2, -14, 5, -10, 16, -10, 4, 2],\n [-23, 7, 25, -2, 4, 14, 22, 2, 21, 13],\n [-24, -13, 11, -16, 14, -13, -7, -20, -8, 14],\n [-17, -9, -22, 24, -20, -15, 16, 0, -15, -18],\n [-23, -24, -8, -24, 0, -14, 11, 0, 10, -10],\n [-12, -24, -5, -19, -15, 18, 3, 11, 22, 13],\n [2, 14, -22, -22, 1, -20, 8, 15, 14, -8],\n [18, 22, 4, 7, -6, 10, 20, 24, -21, 9],\n [-7, -14, 0, -7, -15, -6, -17, -6, 1, -21],\n [-16, -17, -1, -13, 6, -18, 19, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7493", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-8, -3, 15, 5, 15, 8, -19, -21, -5, -20, 19],\n [24, 9, 16, -3, -23, 7, 12, -3, -10, -1, 23],\n [-10, -1, 16, -19, -18, -23, -21, -7, -19, 24, -4],\n [0, 24, -1, -20, -21, 12, 12, -4, 5, -4, -15],\n [6, -9, 15, -4, -10, 16, -11, -18, 20, 22, 25],\n [-23, -13, 4, 2, -17, -14, -1, 11, -5, 25, 13],\n [13, -7, -18, 12, -23, -4, -25, 12, -7, -5, -13],\n [1, -9, 24, -6, 4, 12, -15, 1, 12, 2, 0],\n [13, 7, 6, -1, -2, 14, 1, 20, -4, -6, 7],\n [-21, 3, -21, 20, 13, -9, 3, -15, -4, 5, 13],\n [-25, -11, -7, -16, -17, -13, 19, 0, -20, 14, 18]]\nB =\n[[-24, 3, 22, -14, -3, 24, -23, 24, -15, -21, 19],\n [-16, 21, -20, -10, 5, -3, 4, 14, -6, -1, 9],\n [-21, 21, -23, 21, 8, -14, 1, -21, 15, -4, -22],\n [2, -19, 22, 19, 8, -24, -17, -11, 5, 10, 23],\n [15, -11, 7, 5, 1, -24, -17, 17, 25, -25, -7],\n [-17, -24, 11, 23, -25, 20, -14, 0, -16, 25, 21],\n [-25, -25, 17, 5, -15, -21, 9, -15, -22, 12, 24],\n [13, -5, 10, 20, 2, -18, -6, 17, 20, -5, 9],\n [17, 6, 10, 15, -21, 19, -22, -19, 8, -6, 25],\n [-19, -2, -5, -17, -7, -6, 2, 6, 8, -10, 12],\n [25, 24, -9, -15, -22, 14, 24, 19, 14, 16, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1372", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[24, 23, 22, -20, 20, 6, -21, -11, 19, -10],\n [22, -9, 11, 17, -11, 9, -18, 9, 10, 1],\n [-12, -3, -6, -20, -2, -3, 10, -14, -24, 1],\n [6, 3, 24, 20, 14, 14, 18, 7, 3, 7],\n [10, -9, -16, -25, 17, -9, 16, 2, 12, 10],\n [19, 1, 17, 11, 20, -1, 8, -23, 3, 9],\n [17, 15, 25, -16, 12, 12, -25, -25, 6, -4],\n [-7, 9, -20, 8, -11, 18, 16, 25, 19, -23],\n [24, 11, -4, 19, 3, -12, 4, -11, 24, 3],\n [-12, 25, -23, -4, 7, -3, -19, -6, -19, -9]]\nB =\n[[6, -11, -13, 21, -23, -1, 23, 6, -10, -25],\n [20, -23, -6, 2, -4, 10, 15, -25, -12, 19],\n [-11, 6, -8, 22, 12, -4, -10, -15, -19, -17],\n [-25, 16, -18, -15, -21, 3, -20, -14, 17, 13],\n [-19, 18, -14, 7, -7, 10, -7, -5, -7, 17],\n [-17, 19, -4, -7, 11, -15, -1, 9, -21, 19],\n [5, -12, -13, 8, 8, -8, -20, 25, 16, -5],\n [14, -21, -24, -20, 24, -18, -24, -3, -6, -22],\n [-11, 4, -6, -2, -17, -5, 12, 15, -13, -21],\n [20, -12, 24, -19, -20, -14, 20, 25, -10, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4815", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 16, -15, -22, 3, 8, -17, -16, -18, 10, 6],\n [19, -20, -20, 1, -24, -17, 12, -21, 8, -12, -16],\n [21, 23, -19, -6, -15, -13, -9, 11, 18, 10, 7],\n [-16, 8, 19, -13, -1, 18, 7, -16, -2, -21, -16],\n [13, 21, 1, 24, 10, 7, 2, 14, 17, -23, 5],\n [3, 18, 19, 24, 18, 16, -5, 6, 2, -5, 21],\n [9, 4, 21, -9, 3, 22, -24, 7, -22, 23, 13],\n [-1, -21, -22, 3, 11, -18, -6, 15, -20, 10, 6],\n [-21, 14, -6, 19, -22, 13, -4, 7, 5, 15, 3],\n [-21, -16, -15, 24, 11, -4, -2, -5, 10, 25, -10],\n [-24, -11, 15, 23, 0, 4, -24, 3, -20, -25, 14]]\nB =\n[[-15, -3, 0, 5, -11, -17, 8, 13, -9, 9],\n [10, -23, 14, -15, 2, 22, 2, 20, -7, -24],\n [6, 18, -15, -10, -15, -23, 16, 3, -21, 2],\n [5, -13, -1, -20, -23, -4, 15, 13, 6, 4],\n [-19, -1, -24, -18, 24, 7, 2, -16, 12, -8],\n [-13, -5, 7, -3, -25, 18, 14, -5, -21, 9],\n [-8, 12, 10, 21, 3, 0, 10, 12, 24, -8],\n [3, 5, 16, -13, 24, 4, -19, 14, -20, -24],\n [-18, -16, 23, 18, 17, 23, 22, -4, -16, 9],\n [-7, -22, -7, 15, -6, 23, -22, 23, 0, -23],\n [4, 10, 15, -20, 25, 13, 1, -10, 21, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5919", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 6) of the product matrix AB given:\nA =\n[[20, 10, 8, 13, -2, 13, -20, -6, -17, 23],\n [-5, -15, 22, 4, -25, 1, 22, 23, -20, 17],\n [-19, 22, -4, 8, -6, 19, 19, -11, 21, -17],\n [-8, 20, 20, 10, 20, 16, 4, -15, 7, 20],\n [14, -20, 17, 20, 13, -4, 13, -7, -4, 5],\n [16, -1, 15, 24, 23, 4, 19, -22, 0, -19],\n [14, 22, -14, -25, -20, -25, -18, 18, 22, 7],\n [-22, 25, 24, 14, -20, 19, -23, -11, -20, -20],\n [11, 25, 1, 16, 15, 20, -21, 13, -9, -3],\n [-9, 15, -3, 13, 7, -24, -16, -7, 14, -17],\n [-11, 17, -2, -14, -4, -8, -24, -11, 16, 13]]\nB =\n[[-17, -4, -9, -12, 5, 15, -19, 21, 9, 8, -23],\n [-24, 19, 1, 19, -24, 25, 15, -21, -5, -19, -1],\n [19, -25, -17, -24, -23, 18, 11, 18, -22, -5, 0],\n [18, 11, -12, 20, -16, 0, -16, 11, -8, 1, -9],\n [-16, -15, 21, -2, -7, 18, -10, -3, -14, -7, -1],\n [-23, -13, -5, -4, 21, 3, 23, 17, -1, -3, -14],\n [23, -3, -21, 3, -21, 13, 9, 9, -9, 4, -24],\n [-11, 25, -3, 16, 0, -15, -2, -17, -12, -2, -19],\n [-16, 7, 7, 20, 1, -18, -12, -19, -8, 0, 15],\n [-11, 7, -15, -7, 16, -8, -4, 10, -8, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 2) of the product matrix AB given:\nA =\n[[-1, 18, 5, -17, 24, 12, -7, -1, -11, -21, -15],\n [-13, 8, -18, -1, 1, -15, -8, -16, 7, 10, -9],\n [23, -21, -3, -23, 13, 11, -16, 1, -19, 23, 3],\n [23, 13, -20, -17, -18, -12, 12, -17, -15, -15, 14],\n [9, -15, 10, -23, 19, -7, -18, 2, -25, 14, 4],\n [15, 12, -15, 3, 5, -16, 9, 14, 3, 11, -24],\n [22, -25, 6, -2, -24, -23, -17, 23, -2, -14, 8],\n [8, -3, -7, 6, 23, 2, 0, 23, 19, -14, 17],\n [5, -15, 14, 24, -22, -8, 3, 21, 13, 21, 5],\n [25, 2, 1, 4, 23, 16, -15, -12, -22, 10, -25],\n [18, 13, 11, 7, -5, -2, 14, 24, -13, 23, 8]]\nB =\n[[12, 3, 10, 14, 21, -21, -6, 3, -15, -18],\n [2, 23, 15, -8, 4, -12, -17, -16, -1, 1],\n [-24, -23, 3, 11, 1, -22, 9, 1, -7, -16],\n [0, -19, 1, 4, -14, 14, -21, -13, 15, -22],\n [-24, 11, 8, 24, -20, 0, -15, 16, -25, 8],\n [-5, -16, -21, 0, 18, -7, -5, 8, 3, 12],\n [-11, 14, -10, 25, -8, 23, -25, -15, 10, 6],\n [2, -20, -19, 14, -2, -16, 4, -9, 18, -18],\n [-14, 0, -9, 9, 20, 18, -21, 19, -15, -10],\n [16, 4, 14, -20, -6, -6, -2, 1, -23, -2],\n [-16, -1, 2, -8, 16, 19, -12, -25, -6, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "834", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (11, 10) of the product of the following matrices:\nA =\n[[-1, -14, 22, 13, 20, -17, -17, 16, 15, -1],\n [4, 22, 14, 2, -24, -1, -8, -2, -8, 1],\n [18, 9, 8, 12, -20, 23, -10, -3, 2, -13],\n [-14, -15, 21, 23, -4, 5, 1, 1, 14, 0],\n [-19, -15, -4, 14, -7, 12, -6, -7, -7, 10],\n [21, 1, -9, -8, -6, 18, 16, 15, -18, 14],\n [-15, 4, -14, -3, -20, 9, -11, 12, 2, -19],\n [-20, 1, -24, -20, 6, 3, 8, -25, -11, -16],\n [-16, -16, 11, 6, 10, -1, -11, -17, -10, 15],\n [-7, 20, 18, -14, 9, 25, 17, -21, 12, -20],\n [25, -12, 22, -14, 24, -4, 19, 15, 24, -22]]\nB =\n[[17, -8, 5, 9, -22, -17, 19, -11, 16, -5, 6],\n [-17, 22, 6, -10, 19, -21, 16, 5, -1, -25, -23],\n [-5, 2, -23, 16, 6, 6, 23, 4, 24, -13, 8],\n [22, -22, -8, 6, -12, 6, -20, 17, -9, -18, 9],\n [-2, -23, -9, 10, 25, 14, -9, 4, -1, -4, 11],\n [-15, -14, -5, -11, -14, -4, 13, 9, 16, -10, 7],\n [17, 23, -12, -8, 18, -10, 14, -23, 17, 0, -11],\n [10, 1, 22, -9, -12, -24, 1, 21, -2, 14, 19],\n [9, -22, 0, 10, -22, 8, -13, 14, 15, -25, -25],\n [-17, -15, -10, 3, 10, -11, 13, -24, -16, 23, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-811", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -3, -4, 25, 16, 10, 3, 19, 6, 7, 13],\n [-17, -25, -8, 24, 22, -4, 22, 11, -12, -4, 7],\n [-20, 1, -20, 18, 24, 15, -10, 21, -24, 11, 3],\n [-3, -5, -13, 25, -25, 3, 22, -19, 5, 19, -4],\n [-10, 2, 18, 13, -1, -12, 24, -5, -7, -13, -24],\n [25, 10, -12, 8, -8, -2, 4, 25, -7, 10, -5],\n [-7, 0, 9, 14, -22, -5, -23, -21, 17, 3, -7],\n [25, -9, 8, -6, 2, -17, -23, -16, -5, 15, -22],\n [-4, -19, -14, -15, -4, 3, 1, 21, -6, -12, -19],\n [-11, 20, 2, 17, -16, 25, -23, -14, -13, 13, 18]]\nB =\n[[8, -25, 12, -1, -7, -1, -20, 19, -22, 0],\n [0, 0, -12, 6, 22, 2, -24, 15, 19, -5],\n [20, -12, 11, -24, -21, 12, -24, -25, 22, -4],\n [15, -1, 20, 4, -17, 11, 21, -16, -11, 23],\n [-23, -18, -1, 10, 17, 25, 20, 24, -5, 8],\n [1, -17, -16, 1, -1, -13, 25, -22, -10, -14],\n [-1, 22, 23, -10, 13, -24, -17, 18, -13, -12],\n [-14, 9, -4, -5, 22, 24, -23, -4, -17, 21],\n [14, 16, -23, 5, 11, -20, -12, -7, -8, -19],\n [10, 3, -23, -13, 10, 15, -1, 2, 12, -15],\n [15, -17, -4, -5, -7, 7, -22, 7, 19, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59450", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[18, -25, -11, -4, 6, 11, -3, 7, 23, 14],\n [-4, 14, 21, -14, 22, -8, 6, -23, 10, 21],\n [20, -25, -1, -6, -9, 23, -4, 24, 7, 0],\n [1, 8, -3, -10, -12, 24, 15, -12, 19, 0],\n [20, 25, 23, 1, 14, -22, -17, 1, 17, 13],\n [-11, -1, -8, 4, 11, -10, -14, -9, -1, -11],\n [-1, -5, -7, -2, -19, -14, 23, 13, -15, 7],\n [23, -1, 13, 8, -15, -10, 6, -11, 14, -11],\n [-19, 11, 14, -24, -20, 10, 13, 12, 2, -4],\n [11, -21, -8, -15, -18, -6, -15, 1, 3, -1]]\nB =\n[[25, -7, -24, 16, 13, 18, -24, -19, 25, 5],\n [7, -15, 14, 14, 20, -13, -16, 23, 12, -6],\n [-5, -12, -2, 14, -19, -21, -20, 14, 9, -17],\n [16, -25, 13, -6, -20, 6, -13, 13, 14, -5],\n [11, -14, -20, -11, -5, -5, 2, 10, -9, 20],\n [-19, -3, 19, -4, -16, -8, -24, -14, 19, 13],\n [24, -4, 17, -4, 16, -4, -20, 20, 11, -6],\n [-20, -17, 3, 11, -21, 25, -13, 1, -3, 11],\n [20, 8, -1, 11, -3, 2, 0, -14, 13, -23],\n [-17, 21, -11, -18, 2, 0, -10, 8, -6, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 3, -22, -22, 12, -23, 14, -24, 3, 23, 2],\n [-14, 18, -11, 24, 15, 5, 11, 6, -4, -23, -9],\n [3, -14, -12, -18, 15, -24, 8, -2, 22, -6, 17],\n [-16, 14, -19, -25, -16, 25, -21, 14, -5, -17, 3],\n [5, 19, 20, 1, -20, 17, 5, 15, 19, 10, -24],\n [-5, 8, -4, -13, -7, 7, 12, 14, 23, -23, 12],\n [-7, -19, -11, 12, -1, -4, -3, 24, -16, 10, 11],\n [24, 16, 16, 16, -19, 20, -1, 14, 15, -2, -21],\n [-5, 14, -6, 3, 11, -6, -8, -22, -15, -4, 17],\n [-12, 19, 2, -22, -10, 12, -3, -13, -6, -21, -7],\n [-5, 16, -21, -12, 10, -20, -21, -2, 3, 3, -24]]\nB =\n[[-20, 8, -14, -4, -22, 19, 23, -20, -23, -13, -3],\n [9, 0, -17, -3, -22, 8, 11, -18, 8, 11, -20],\n [-19, 19, 15, 13, 10, -21, -23, -9, -7, 19, -25],\n [11, -17, -22, 16, 20, -16, 6, -25, -3, 25, -9],\n [4, 1, -11, 12, -19, 7, -21, 13, 8, -23, 6],\n [-24, -10, -9, -14, -21, -22, -10, -8, 19, -6, -17],\n [-10, 9, 3, 23, 4, -6, 16, -4, -3, 10, -4],\n [-25, -5, 22, 17, -7, -18, -21, 14, 3, -8, 3],\n [-11, 24, 19, 5, -11, 19, -23, 18, 18, 16, 7],\n [-2, 12, 25, -2, -13, 1, 7, -7, -1, -20, 7],\n [-1, -3, 23, -9, -5, 17, -6, -14, -13, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-374", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 7, -23, -9, 13, 6, -9, 22, 18, -1, -18],\n [17, 9, 3, -14, 10, -17, 0, -4, 5, 23, 22],\n [18, 4, -11, 21, 7, -23, 8, -9, 18, -21, 4],\n [17, 25, -11, 13, -18, 16, 12, 2, -5, 21, -16],\n [2, -5, 23, 2, -4, 12, -7, 12, 20, -2, 2],\n [19, -13, -17, -17, -5, -2, 5, 3, 14, -16, -22],\n [-23, -13, -5, -18, -17, 20, -25, -12, -14, 10, -4],\n [10, 19, -10, -15, -23, 8, -1, 0, -23, -6, 5],\n [23, -25, 0, -1, -15, -10, -6, 16, 12, -24, 3],\n [-19, 23, 14, 19, -1, -22, 17, 8, -1, -18, 6]]\nB =\n[[-8, 14, -15, 11, 13, 10, -16, -20, 19, -10, -1],\n [8, 5, 21, -18, -9, -12, 4, -8, 20, 10, -5],\n [5, 7, -3, 12, -21, -11, 4, -10, 14, 3, 2],\n [-20, -21, 12, -1, 2, -25, -12, -7, 5, 25, -11],\n [-7, 12, 6, 5, 11, 0, 22, 15, -1, 21, 14],\n [-18, -22, 5, 6, 8, 22, -23, 15, 0, -22, -24],\n [-7, -3, -1, 21, -19, -18, -23, -3, 21, 7, 22],\n [2, -4, 9, 8, 4, 21, 10, -12, -17, -4, 2],\n [15, -12, -11, 11, -2, 8, 23, 17, 19, 18, -23],\n [-3, -6, 19, -11, 17, -10, -19, 7, -7, -8, 15],\n [-8, -23, -23, 10, -10, 17, -3, -3, -11, -17, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1427", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -8, 12, -20, 18, 11, 20, -20, -5, 4, 2],\n [-6, -7, -12, -25, 1, 6, 3, 5, -1, -19, 13],\n [20, -10, 18, -15, -8, 18, 16, -21, -24, -16, 0],\n [-2, 0, -10, -1, 12, -20, -14, -17, 23, 16, -18],\n [5, 15, 6, -19, 6, 16, -1, 7, 25, 2, -15],\n [5, -16, -24, 20, 18, -22, -4, 19, 2, -16, -24],\n [23, 5, 16, -3, -10, -17, 25, 17, -20, -1, -22],\n [22, -14, -2, 1, 22, -23, -14, 21, 4, -14, 15],\n [16, 14, 19, -4, -11, 2, -9, 18, 22, -1, 17],\n [25, 19, -23, 10, 5, -11, 20, 2, 17, 5, 19]]\nB =\n[[-6, 24, 19, -5, 1, -7, 10, -14, 9, 22, 7],\n [10, 15, -3, -13, 4, -16, 15, -6, -20, 5, -7],\n [-23, -16, -16, -5, -24, 19, 13, 19, 4, 20, 2],\n [-8, -12, 19, -7, 14, 10, 15, -14, -6, 8, 10],\n [-5, -7, 15, 15, 17, 16, 9, -18, -4, 17, 12],\n [-8, -18, -24, -6, -21, 16, 4, -8, 18, -3, -24],\n [16, 18, 25, 11, 16, 6, -25, 13, -25, 23, 18],\n [5, 13, -18, -23, 21, -14, 23, 8, 23, -1, 10],\n [-19, -11, -5, -1, 22, 12, 11, -10, -25, 21, 11],\n [19, -12, 8, -24, 5, -7, -7, 18, -3, 4, -9],\n [-24, -15, 23, -12, 15, 3, -7, 2, 25, -25, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68434", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 10) of the product matrix AB given:\nA =\n[[25, 8, -12, -7, -2, 14, -9, -24, 5, -9, -18],\n [20, -9, 12, 0, 17, 14, 19, 14, -19, -2, 4],\n [0, 4, 9, -24, 18, -22, -21, 22, -24, 5, 1],\n [-2, 19, -22, 2, -21, 1, 18, 21, -21, -21, 22],\n [-17, 21, 1, -22, 23, -2, 1, -25, 6, -10, -3],\n [2, -6, -9, 10, 19, -18, -8, -13, -17, 11, 4],\n [17, 2, 20, 24, -8, -6, 22, 10, -7, -21, 8],\n [-9, 2, 10, 12, 4, -8, -20, 0, -11, -25, -9],\n [5, -24, 10, 9, 1, -23, 20, -6, -18, 3, -18],\n [15, 24, 1, 0, 13, -16, 4, 7, 10, -6, -22]]\nB =\n[[-3, 3, 20, 6, 11, 11, 25, 0, -21, -2, 17],\n [-24, -11, 20, 20, 14, -18, 11, 11, -12, -21, -17],\n [-4, 17, 23, 18, 18, 22, 4, 7, 24, 12, 11],\n [24, 19, 12, -19, -23, 17, 14, 6, 10, 16, 15],\n [19, -7, 5, 4, 21, 11, -1, -13, -14, -17, 14],\n [-17, 19, 1, 15, 5, -20, 3, 4, 12, -15, 16],\n [20, -20, 13, 15, 5, 9, -14, 22, 19, -20, 19],\n [0, 11, 6, -22, 14, -23, -24, -6, -7, 13, -14],\n [10, 16, 2, -17, 18, -15, 4, 25, -24, 12, 12],\n [7, -19, 18, -5, -14, -5, -3, -20, -12, 6, 23],\n [23, 24, 19, -13, 1, -15, 6, -23, 23, -24, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1369", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-24, 13, 3, -4, -1, 16, 20, -7, 23, -10],\n [-9, 24, 1, 17, -7, 17, 16, 4, -12, 20],\n [16, 6, -3, 10, -16, 12, 3, -15, 24, 12],\n [-11, 6, 1, 12, -25, 15, -12, -23, 4, 5],\n [-25, 20, -12, 10, 20, 10, 17, 15, 17, -11],\n [12, -1, 18, 19, 24, -12, -2, 17, -24, 25],\n [8, 23, -3, -18, -21, 3, 17, 7, -6, -10],\n [11, 22, 11, 16, 15, -2, 25, 3, 9, -17],\n [-4, -6, 14, -22, 17, 10, -14, -3, 13, -18],\n [-16, -3, 3, 19, 6, -12, -10, 13, 22, -9]]\nB =\n[[-6, 25, -14, -17, -18, 15, 11, -5, 16, 6, 11],\n [20, -8, 3, -19, 14, 11, -20, -6, -17, -17, -18],\n [-9, -2, 14, -3, 7, -4, 24, 21, -4, 1, 22],\n [-24, 5, -13, -24, 20, -19, -15, 21, 0, 23, -5],\n [23, -11, -10, -17, -5, 25, 15, -20, -25, 5, -21],\n [11, 0, -25, -25, 3, -4, 12, 15, -7, 2, -21],\n [-5, 23, -4, -6, -14, -20, 3, 19, 14, 9, -15],\n [7, -1, -12, 3, -13, -11, -18, 21, 19, 7, -15],\n [-11, -5, 10, -20, -1, 18, -25, 16, 24, 7, 13],\n [6, -24, -1, 14, 7, 25, 12, -15, -7, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-16, 5, -10, 22, 16, -8, -4, 24, 9, -14, 16],\n [2, 22, -17, 4, -8, 19, -2, 20, -7, -12, -24],\n [-15, 0, -18, -23, -11, 19, 14, -13, -10, -4, 7],\n [-24, 19, 3, 20, 8, -10, -12, 13, 20, 24, 23],\n [-21, 17, -8, 22, 0, -16, -20, -12, -24, 1, -17],\n [-13, -5, 18, -24, -23, -13, -5, 7, -6, 10, -8],\n [-1, 19, 12, -1, 12, -11, 24, -9, 20, 10, 3],\n [7, 6, -18, 17, -13, -9, -5, -12, -1, 23, -2],\n [7, -18, 2, -7, -15, -16, -25, -21, -10, -6, -6],\n [2, -21, 22, -23, 4, -3, 8, 23, 2, -25, 22]]\nB =\n[[1, 8, 5, 6, -19, 17, 12, 8, 20, -22, -7],\n [-4, 3, 8, 8, 19, 19, -23, -5, 12, -5, -9],\n [3, 7, 13, 0, -19, 19, -17, -8, -25, -15, -4],\n [6, 17, -16, 23, 1, 23, -14, 4, -16, -14, 12],\n [-5, 1, -20, 12, -18, 11, -20, 8, 23, 14, -4],\n [3, -17, -5, 6, -18, 17, -16, 23, -3, -6, -13],\n [-4, 15, -11, 5, 19, 6, 19, -13, -1, -5, -22],\n [16, -11, -5, 16, -18, 5, -16, -5, -9, -21, -13],\n [-5, 25, 18, -14, -1, 2, -24, -5, 15, -4, -24],\n [4, -25, 20, -13, -23, -6, -21, -24, 0, 3, -8],\n [-17, -4, 2, -14, 11, -8, 8, 16, 16, -23, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55778", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-21, -3, -13, -2, 2, -9, -20, 1, 19, 3, -14],\n [9, 22, -21, -24, -15, -22, -4, -25, 19, 24, -10],\n [-24, 15, 1, -14, -21, -21, -4, -13, -10, 0, 25],\n [-17, 22, 6, -7, 10, 2, -11, -17, -10, -20, -18],\n [7, 6, 20, 10, 16, 22, 10, 8, -24, -13, 17],\n [-16, 12, -19, 21, 25, -23, 1, -12, 4, 8, -3],\n [22, -9, -11, 19, 18, -19, -23, -17, -23, 22, 9],\n [14, -18, 0, -11, -21, -13, -11, 13, -14, 9, -18],\n [-16, 8, -18, -4, 24, -14, -4, 1, -8, -7, -21],\n [-10, 23, 15, -16, -7, 18, -25, -4, -9, 9, 13],\n [-17, -21, -17, 25, -15, -12, 20, 14, -2, -6, 7]]\nB =\n[[-22, -10, -1, -25, 25, -2, -23, 6, 8, 23],\n [-1, 17, -23, -19, 16, 9, 3, 14, -1, 2],\n [-2, -21, 1, -16, -14, -8, 12, -18, 24, 12],\n [4, -17, 22, 17, -1, 4, -24, -9, 19, -19],\n [-4, -16, 0, -13, 16, 2, 10, -15, -17, -10],\n [-9, -21, -21, 12, 5, -24, 1, 20, 17, -7],\n [17, -1, 12, -13, 3, -7, 9, -1, 22, -17],\n [9, 25, -11, -4, -13, 23, 4, -5, -1, -1],\n [14, -4, 20, 15, -23, -17, -2, 18, 21, 6],\n [-9, 15, -2, -18, -20, -17, -11, -2, 24, -15],\n [5, 20, 19, 19, -13, 4, -1, 22, -14, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61980", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 0, 24, -14, 11, 23, -5, -3, -25, 19],\n [-16, 9, 12, 22, 2, -25, 25, -18, 15, -3],\n [-6, 6, -3, -19, -15, -18, 17, -12, -12, 10],\n [15, 14, 21, 1, -6, 12, -1, 22, 22, 3],\n [-12, 2, 4, -11, -5, -14, 24, -15, 13, -20],\n [-23, 15, -11, 8, -22, 8, 12, 18, 13, 15],\n [-20, -4, 11, 6, 2, 0, -22, -16, 1, -6],\n [10, -21, -9, 24, 6, 9, -3, -13, -25, 5],\n [-7, -3, 8, -22, 22, 22, 23, 18, 8, 4],\n [-16, -20, -14, -14, 23, -8, 10, 9, -1, 23],\n [15, -4, 4, 18, 3, -19, 22, 14, -23, -5]]\nB =\n[[19, -6, -17, 15, 10, -12, -8, 7, 25, -24, 11],\n [5, -4, 20, -17, -6, -6, 21, -25, 4, -7, 10],\n [-12, -25, -21, -16, -17, 23, -12, 13, -8, 16, -1],\n [10, 5, 20, 9, 1, -4, -15, -16, -18, 15, 2],\n [-3, -20, -12, -2, -17, 20, 14, 12, -1, 12, 4],\n [-4, -24, -1, -2, 11, -23, 17, 0, 4, 3, -19],\n [-17, 19, 4, -10, 18, 14, -12, 0, 20, 11, -16],\n [4, -4, 4, 6, -12, -3, -9, 10, 3, -2, 21],\n [-15, 15, -11, -4, 1, 8, 7, -5, -2, -6, 23],\n [-22, 11, 11, 20, 7, 5, 8, -4, 16, 4, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1143", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 4) of the product of the following matrices:\nA =\n[[15, 19, -3, -13, -17, -12, -9, 9, -8, -14, 15],\n [-10, 4, -13, -8, -14, 8, 25, 7, -20, -8, -23],\n [-20, 10, 23, 24, -4, -19, 4, -24, 6, -11, -4],\n [23, 12, -18, -18, 13, 10, -6, 11, -18, -12, -6],\n [9, -1, -8, 21, -5, 11, 21, 5, -20, 16, 21],\n [-6, 2, 15, 10, 14, 0, -13, 23, -22, 8, 11],\n [8, -10, -3, -3, -11, -1, 3, 10, -11, 11, 9],\n [20, 13, 21, 11, 15, 2, 19, 4, -19, -22, -19],\n [7, 21, 21, -8, -11, 9, 11, -21, 22, -3, -16],\n [-1, -4, 5, -3, 2, 19, -11, 14, -19, 20, 12]]\nB =\n[[14, -11, 23, -21, -14, -13, -23, -7, 0, 4, 2],\n [-11, -8, -19, -12, -2, 25, -2, -15, 13, 17, 14],\n [-16, 17, 7, -6, 16, 13, -4, 9, 25, 2, 10],\n [4, -20, -25, -22, -1, 13, -15, 12, 11, -14, 3],\n [8, -8, -17, 20, -14, -17, -25, -19, 13, 16, 8],\n [6, 2, 0, 10, 14, -12, 19, 5, -10, 13, 16],\n [-15, -15, 12, -14, 16, -17, -4, 12, -17, -23, 13],\n [9, 4, 0, -18, 6, -4, -18, 19, -24, -12, -21],\n [-13, -3, -13, -7, -2, 9, -12, -22, 0, -16, 12],\n [12, 8, 8, -7, -23, 10, -22, 0, -15, -23, 23],\n [-17, 20, -24, -12, -23, -24, -4, 3, 7, 10, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-447", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[21, 18, 12, -5, 5, 9, -23, -7, -4, -6, 10],\n [-7, 20, -22, 6, -18, 25, 0, 25, -25, 0, 21],\n [17, -17, 9, -8, -7, 22, -10, 2, -23, -8, -13],\n [1, 14, 13, -2, 3, -4, 25, 0, -6, -2, -14],\n [-8, 21, -14, 12, 6, 23, -3, -22, -14, -9, -5],\n [11, 3, -20, 21, 2, -18, 5, -6, -10, -13, -11],\n [-13, 21, -24, -6, 2, -8, -19, -5, 15, 13, -17],\n [18, -16, 5, 16, -13, -21, 14, 16, 12, 17, 10],\n [-24, -20, -13, 3, 18, -12, 4, -1, 14, 9, 11],\n [-19, 24, 12, -8, -18, -19, 8, 10, 15, 22, 25],\n [-16, 14, 3, -10, -1, 3, -18, -6, 10, 1, -13]]\nB =\n[[0, 16, -1, 2, -17, 0, -14, 0, 21, -4],\n [-25, -14, -2, 4, -12, -3, -24, -23, -20, -7],\n [-5, 19, -6, -5, 14, -22, -1, 25, -19, -19],\n [7, 25, 0, -9, -18, 0, -11, -6, -7, -19],\n [19, -25, 13, 11, -8, -18, -11, 24, -20, 11],\n [-4, -15, 0, -18, -17, -13, -23, -23, -19, -23],\n [-15, 20, 2, 16, 5, -17, 1, -14, -18, 18],\n [15, -4, -8, 4, 23, -15, -24, 3, 0, 25],\n [-12, 2, 9, -20, 10, -14, 8, -20, 11, 11],\n [-18, 11, 14, 7, 15, 20, 5, 8, -15, 10],\n [-22, -9, -10, 4, 13, 18, 23, -21, 14, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8446", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[17, 0, 2, -7, -5, 2, -7, 10, -15, -7],\n [-21, -24, -1, 25, 0, 4, -9, -5, -6, -8],\n [21, -10, 2, -14, 14, -20, -2, 24, 17, -20],\n [-9, 16, -7, 21, 22, 2, 3, 23, -19, -7],\n [-18, -18, -21, 17, 8, 24, -5, -22, 18, 10],\n [-21, 23, -3, -7, 16, 20, -11, -12, 22, -18],\n [-17, 14, -15, 18, 20, -8, 6, 18, 10, 19],\n [-5, 1, 22, 16, -5, -15, 18, 24, 8, 25],\n [-21, 2, -16, 22, -14, 15, -23, -25, 11, 14],\n [23, -25, -13, 12, -11, -19, 4, -2, -18, -23]]\nB =\n[[-11, 10, 15, 17, -12, 1, 4, 15, 18, 11],\n [-20, -7, 11, -25, -1, -16, 20, 0, -3, -9],\n [4, 1, -15, -22, -8, -7, 10, 18, 20, 24],\n [0, -25, -6, -15, -1, -7, 6, -25, -25, -23],\n [20, 14, 6, 21, 10, 17, -18, 4, 13, 8],\n [-18, -1, 0, 1, -7, -3, 15, -10, -18, 4],\n [-18, -15, -19, -5, 8, -5, -21, 24, 17, -9],\n [-5, -20, 19, -19, -15, -8, 12, -14, -4, -23],\n [-7, 17, -3, 8, -23, -3, 23, -21, 3, 8],\n [18, -21, 3, 19, -2, 13, -5, 6, 17, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2602", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 12, 9, 12, -10, 9, 24, -2, 10, -21, -17],\n [-22, 7, 1, -4, -15, -21, -16, -23, -11, 20, 11],\n [14, -9, -6, 25, -22, 8, 8, 5, 8, -23, 2],\n [15, 11, 3, -11, 10, 9, 15, -16, -9, 4, -18],\n [-3, -7, 11, 17, 10, -22, 0, 21, 14, 1, -13],\n [18, 8, 7, 20, 0, -6, -18, -10, -21, 8, 21],\n [1, 10, -22, 16, 24, -19, 11, 10, -2, -11, 24],\n [23, -20, 0, 0, -1, 7, -23, -17, 11, 12, 4],\n [1, -13, -3, -23, -3, 9, -2, 11, -14, -6, -8],\n [-19, 0, -14, 8, 22, 6, 4, -24, -18, 7, 20]]\nB =\n[[16, 4, 19, 16, 19, 2, -13, -2, 7, -21, 22],\n [-20, -22, 16, 17, 8, 3, -5, 0, 6, -4, 15],\n [-12, 8, 11, 18, -25, 6, 6, 25, -2, 18, -5],\n [-14, -6, 11, -6, -24, -12, -9, -2, 4, -11, 23],\n [8, -18, 16, -23, -15, 1, -17, -11, 6, -15, -23],\n [0, -19, 2, 13, -22, 4, 12, 25, -12, 10, 5],\n [25, -7, 23, 25, -14, 23, -11, -17, 1, -6, 2],\n [-1, -10, -8, 24, 10, -22, -5, 1, -25, -21, 18],\n [20, -16, 24, -5, -16, 0, -10, 12, -23, -6, 21],\n [-21, -20, -1, -1, -14, -25, 16, -23, -5, -21, -11],\n [-22, -7, -9, -18, 11, -2, -22, -2, -7, -2, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64038", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[19, -5, -9, -18, 5, -7, -15, 20, 24, -3],\n [11, 2, -3, -14, -10, -10, -12, -19, -5, -5],\n [15, 9, 20, -2, -25, -12, -6, 2, -8, -23],\n [1, -20, -22, -25, -5, 9, 2, -8, 9, -5],\n [-10, 0, 13, -17, -3, -24, -23, 7, -2, -3],\n [-20, -5, 21, -21, -13, 14, -13, -7, -17, -23],\n [5, 20, 13, -13, 15, -15, 15, -15, 20, 21],\n [23, -25, 9, 9, -23, -22, -2, 4, 6, 23],\n [-6, 10, -13, 13, -22, 2, 14, 17, 25, -19],\n [-17, -4, -22, 10, 7, -20, -23, 9, 7, -19]]\nB =\n[[15, 9, 21, -23, 17, -8, -23, 13, 1, -17],\n [-9, 15, 16, 19, -21, 20, -22, -12, 3, -15],\n [-4, 16, -21, -14, -5, -11, -2, -13, 6, 0],\n [14, 0, 10, 19, 4, 21, -17, -2, 12, -8],\n [-17, -4, 12, -5, -19, -14, 10, -15, -23, 1],\n [-19, -24, -16, -23, -9, 17, -25, 8, -13, -12],\n [-9, 8, -9, 25, 15, -1, 18, 4, 22, 10],\n [-15, -5, -6, 3, -22, 8, 16, 15, -9, -14],\n [-22, 15, -12, -22, 8, -8, -13, -16, -12, -17],\n [17, -6, -25, 18, 3, -9, 23, -18, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50579", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 11) of the result:\nA =\n[[-1, -6, -1, -5, -13, -13, 21, 24, 4, -13],\n [14, -19, 25, 16, -14, -24, -12, 16, -9, -13],\n [-25, 21, -25, 21, 0, 21, 20, -13, 8, 14],\n [-17, 25, -7, -3, 15, 2, 4, -19, -12, -24],\n [-14, 17, 23, -24, 2, 2, -14, 4, 21, 14],\n [14, -4, -8, -12, -1, -16, 10, 22, 22, 23],\n [-17, -15, 1, -13, -25, 13, -15, -23, -24, 20],\n [16, -2, -6, 23, 14, -11, -20, -6, -4, -24],\n [-11, 22, 8, 20, 5, 4, 2, 7, 15, 23],\n [-5, 20, -3, 16, -13, 19, 0, -7, 1, 14],\n [-19, -1, 23, 14, 10, -19, -6, -2, 2, 23]]\nB =\n[[-21, 10, 5, 25, 7, -2, -16, 12, 18, 23, -21],\n [5, -17, 6, 15, -21, 25, 1, 2, 17, -14, -21],\n [-18, -9, -18, 8, -3, -8, 25, -16, 13, 15, 18],\n [18, -21, 17, -9, 21, -15, 21, 22, -7, -5, 18],\n [-23, 14, 17, -25, -2, 10, -20, -16, 21, 14, 20],\n [8, -2, -3, -6, 12, 9, 8, 20, 24, 21, 10],\n [-10, -3, 18, 23, -25, -17, -14, 11, -9, -23, 12],\n [3, 5, 9, 12, 0, -13, -7, 6, 21, 1, 13],\n [-13, 8, -7, -7, -23, -23, 0, -20, -13, 20, 12],\n [1, 15, -2, -16, -10, -3, 21, -14, 2, -13, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-24, 20, -9, -3, -3, -25, 17, -12, -14, -12],\n [23, 18, 12, 15, 18, 23, -10, 8, -8, 22],\n [-16, -7, 4, -22, -19, -10, 25, 11, -21, 13],\n [23, 7, 9, 22, 8, 7, 13, -16, -23, 24],\n [3, 9, 5, 13, -11, -25, -7, 11, 1, -5],\n [-19, 17, 7, -24, -12, 16, -23, -12, -21, -9],\n [13, -25, 17, 2, 12, 22, -12, -9, -11, 20],\n [-19, 16, 25, -19, 21, -2, 0, -12, 21, -7],\n [0, -10, 8, -24, -25, 22, 25, 10, 9, 17],\n [-2, 23, -21, 3, 15, -25, -17, 10, -10, -11]]\nB =\n[[-16, 11, -10, 12, 22, 10, -11, -23, -7, 15],\n [11, 22, -23, -18, -2, -12, 9, -10, -19, 15],\n [9, -18, -14, 23, 20, -10, 25, -22, 9, 19],\n [15, 19, 6, -14, -5, -11, 9, -23, -24, -20],\n [-10, -3, 5, 24, 15, 4, -23, -10, -22, 20],\n [10, 2, 24, 24, 24, 2, -23, 0, 13, -13],\n [-19, -13, -22, -10, 2, 21, -13, 16, -16, -21],\n [10, -7, 4, 21, 15, 22, 2, 5, 10, 17],\n [23, -25, -17, -14, -3, -14, 16, -17, 0, 4],\n [-6, -10, -13, 9, 24, -22, 25, -1, -13, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "563", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[19, -14, -2, 2, -25, 8, -23, -4, -5, 1],\n [-5, -4, -13, 18, -10, 20, -2, 20, -9, -21],\n [12, 16, 1, 15, 6, 0, -19, 10, -19, 17],\n [1, 12, 22, 22, -2, -2, 19, 18, 3, 1],\n [8, -5, 19, -25, -16, 4, 2, 16, 4, 2],\n [3, 5, 17, 15, -22, 23, -7, -16, 19, 5],\n [8, 15, 13, 16, 18, 5, -15, 10, 18, 18],\n [6, -3, 14, 20, 13, -23, 2, -1, 2, -7],\n [20, -7, 16, 18, 3, 24, -7, -8, 19, 23],\n [-2, 12, -10, -8, 15, -13, -22, -13, 9, -22]]\nB =\n[[-7, -2, 7, 7, -17, -23, -23, 4, -8, -24, 6],\n [17, -17, -24, -6, 1, 10, 15, 20, -7, -10, 0],\n [-12, 21, -8, 2, 21, -7, 4, 15, -5, -5, 22],\n [4, 23, 16, 11, 15, 20, 6, 4, -4, -2, -16],\n [-2, -25, 9, -10, -21, 5, 19, 11, -1, 17, 23],\n [-1, -23, 12, 6, 22, -6, 4, -24, -21, -7, -6],\n [-4, -15, -8, 1, 5, 9, 18, 19, -5, -6, -17],\n [5, -17, -19, 7, -25, -7, -23, 13, -14, 4, -10],\n [-13, 24, -2, -9, 1, 3, 15, -12, -21, 17, 12],\n [-20, -2, 14, 7, -17, 16, 23, -23, -3, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 10) of the result:\nA =\n[[19, -18, -6, -12, 4, -18, -7, 19, 12, 10],\n [-20, 8, -16, 5, -15, 17, 9, -15, 14, 6],\n [23, 0, -4, -25, 22, 3, 13, -4, 6, -1],\n [14, 19, 3, 11, 6, 4, -8, 18, 22, -23],\n [-14, 25, -6, 24, -18, 5, -2, -13, -18, 16],\n [-12, -11, -5, -11, 0, 12, 20, 12, 7, -16],\n [-7, -15, -23, -3, -20, 15, 15, 3, -22, -23],\n [-6, 25, 17, 25, 23, -18, -20, -21, -18, -18],\n [9, -7, 22, -16, 9, -17, -18, -18, -18, -6],\n [-19, 20, -4, -9, 18, -21, 8, -1, 21, 17],\n [-11, 5, 19, -7, 18, 5, 21, -14, -3, 24]]\nB =\n[[-3, 10, -15, -4, 21, 4, -21, 11, -6, -16],\n [-4, 16, 4, 4, -4, 12, 12, 12, -19, 24],\n [10, -12, -15, -19, 6, -8, 8, -24, -19, 17],\n [5, -8, -6, -19, -4, 11, 8, 20, 13, 16],\n [24, 14, -10, -12, 15, 6, 12, 13, 0, 4],\n [15, 13, -17, 6, -19, -14, -3, -9, -5, -14],\n [-4, -3, -21, -8, 11, 11, -19, -23, -25, -20],\n [-19, 1, 5, -18, -12, -11, -19, -19, 7, 15],\n [-19, -6, -19, 24, -12, -11, -8, -16, 9, 1],\n [17, -25, 2, 8, 22, -23, 23, -23, -15, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 13, 6, -10, -9, -15, 10, 6, 9, 1, 22],\n [8, -21, -1, 2, -8, -23, 2, -24, 8, -4, -4],\n [4, 8, 22, -25, 3, -7, -7, 15, 15, 3, 17],\n [7, 25, -9, 12, -25, 24, 15, 7, 10, -4, -8],\n [-9, 6, -6, 25, -3, 2, 20, 0, -19, 15, -6],\n [15, 21, -15, -19, 12, 1, -17, -22, 23, 12, 3],\n [23, 0, -1, -12, 11, 24, 2, -18, 16, -15, 9],\n [5, 8, 20, 10, -9, 23, -5, 0, 15, 2, -4],\n [15, -23, 2, 10, -24, 20, -6, 14, 24, 10, -18],\n [13, -1, -11, 4, 21, 8, -22, -4, -1, -17, -3],\n [13, 24, -14, -12, -19, 5, -20, -3, -7, -5, -7]]\nB =\n[[21, -7, 18, 8, 17, -13, 10, -1, 7, -5, 8],\n [20, -1, -8, 17, -15, -7, 23, 23, 8, -24, 4],\n [19, 12, -11, -15, -2, -22, -7, 3, -12, 24, -9],\n [-18, -13, -3, 3, 21, -15, -10, 24, 18, -3, -14],\n [12, -2, 5, 12, 10, -25, 0, -9, 10, -9, 11],\n [1, -1, 4, 15, -1, 12, 6, -14, 23, -5, 16],\n [8, -25, -13, -5, -25, -13, 5, -3, -23, -15, 3],\n [22, -8, -1, 8, -8, 23, -25, 2, -22, -5, -20],\n [-5, 11, 4, -6, 15, 6, 5, 10, -1, -21, -18],\n [-9, -11, -6, 19, 21, 3, 10, 24, 25, 2, -18],\n [-12, 7, 8, 3, -4, -23, 22, -3, -23, -20, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62765", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -14, -21, -21, -23, -22, -2, -21, 5, 9, 16],\n [-7, -18, 2, 12, -3, -19, 12, -13, 19, -5, 11],\n [-20, -16, 1, 0, 16, 2, -10, 24, 2, -23, -25],\n [-23, 4, -7, 7, -18, -7, 10, 22, 11, -21, 8],\n [12, 1, 13, 21, 16, 16, 25, -2, 22, 5, -4],\n [-3, 15, -2, 14, 6, 25, 7, 2, -9, 0, -8],\n [-11, 12, -4, 23, -8, -5, -7, -24, 4, -1, 0],\n [13, -9, 21, -10, 1, 23, -23, 16, 12, 3, -24],\n [17, 14, -12, -14, -2, 2, 13, -8, -1, 11, -20],\n [19, 4, 5, 8, -7, 2, -18, -15, -10, 0, -25],\n [5, 1, 22, 18, 23, -17, 0, -20, -19, -13, 23]]\nB =\n[[-16, 17, 20, 23, 5, 22, 11, -8, -15, -16],\n [2, -5, -1, -20, 16, -15, 7, -21, 8, 6],\n [17, 20, -2, -13, 17, -20, 8, 25, -1, 15],\n [-3, 24, 20, -13, 2, 18, 18, -13, -19, 22],\n [-9, -17, -12, 4, 15, 12, 4, 7, -1, 5],\n [-3, 1, 7, 25, 21, 23, -6, 2, -18, -4],\n [9, 5, 18, -2, -11, 24, 19, 5, -21, -4],\n [-9, 2, -23, -7, 12, 1, -9, 6, 11, -5],\n [11, 25, -15, -25, 4, 0, 19, 23, 17, 24],\n [10, 0, 16, 1, 0, 17, -8, 7, 10, 11],\n [8, 0, -4, -2, -14, -15, -5, -10, 10, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8848", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -2, -13, -12, 17, 5, -18, -25, 14, 25, -9],\n [15, -13, 21, 1, -13, 14, 1, 6, -14, 17, -13],\n [-10, 8, -20, 22, -8, -9, 21, 13, -12, -19, -20],\n [-14, 8, -25, 24, 3, 2, -21, -5, 13, 21, 12],\n [8, -5, -2, 23, -13, 19, 20, -3, 6, -18, 21],\n [-15, -13, -6, -25, -24, -15, 20, 4, -21, -19, -2],\n [5, 22, 4, 17, -11, 10, -16, -25, -19, 18, 0],\n [17, 17, 23, 4, -25, -11, -6, -4, -1, 24, 10],\n [25, 11, 20, 19, 1, -7, -7, -10, -5, 25, 7],\n [16, 5, 8, -11, 25, 10, 0, 4, 5, -1, -22]]\nB =\n[[-14, -7, -17, -1, 22, 21, 15, 25, 24, -19, 1],\n [22, 21, 17, -20, 9, 6, -12, -20, 23, 25, -8],\n [5, -10, -23, 5, 12, -9, -21, -10, -9, 5, -10],\n [-5, 15, 13, 11, 15, -16, 6, -1, 7, 13, 11],\n [12, 12, 2, -11, -18, -25, -16, 9, 22, 7, -10],\n [-12, -21, -10, -5, -15, 24, -19, -18, -9, 4, -12],\n [23, 18, 24, 7, -2, -19, 12, -11, 24, 17, -1],\n [-9, 7, -24, 13, -16, -12, -14, -9, -12, 25, -16],\n [18, 13, 14, 3, 19, -20, 14, 5, 11, -17, 17],\n [19, 7, -19, 12, -18, 8, -9, -9, 4, -8, 13],\n [-11, 19, -6, -1, -12, 1, 21, 9, 2, -20, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7139", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -12, -10, 23, 18, 10, -21, 6, -15, -4, 17],\n [14, 2, 24, -20, 13, -20, 20, -6, 12, -22, -1],\n [-13, 23, -14, -17, -23, 6, -15, -21, 9, 23, -2],\n [15, -20, -8, 12, -20, -4, 16, 17, -12, -14, -1],\n [-6, -8, -2, -11, 5, 16, -25, -11, 8, -24, 10],\n [-3, -2, 20, 6, 25, 20, -13, 7, 16, -12, -9],\n [-10, 6, -11, 17, 5, -14, 7, -23, -15, 17, -21],\n [21, 1, -10, 9, 14, -10, -10, -4, -22, 6, 1],\n [-11, -7, 0, -11, 19, -16, 8, 12, 23, 0, -18],\n [-10, 3, 6, -5, 6, 19, -14, 22, 13, -16, -20],\n [11, -8, 22, 5, 9, -23, -21, 8, 7, 10, -16]]\nB =\n[[19, -23, -15, -23, 2, 16, 2, -17, 0, 3],\n [-16, 1, 19, 6, -8, -8, -4, -9, 23, -1],\n [0, -21, -17, 18, 18, -2, 25, -19, -6, 18],\n [15, -18, -7, 9, 17, 18, -1, -9, 13, -1],\n [9, 13, 13, 20, -24, -10, 16, -12, 3, 13],\n [-24, -16, -24, 1, -13, -24, 16, -12, -9, 25],\n [18, 23, 12, 10, 8, 3, 21, -3, -3, -10],\n [18, -19, 19, -25, -7, 19, 7, 8, -25, -14],\n [-1, -3, -1, 5, -2, -16, -24, 7, 11, -3],\n [-24, -22, -3, 20, 15, 12, -3, -14, 18, -2],\n [3, 15, 2, -11, -16, 8, 3, 5, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1742", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-19, 1, -17, -6, -5, 2, 24, -23, 19, -16, -9],\n [9, -5, -17, -9, 6, 22, 12, 2, -8, -20, -20],\n [-9, -16, -24, 7, 17, -1, 12, -25, -10, 0, 15],\n [-14, -17, -13, -19, -25, 5, 9, -2, -23, -7, -22],\n [2, 18, 4, 10, 16, -22, -3, -15, -22, -15, 23],\n [-2, -6, 19, -9, -13, -9, 25, -11, -22, -8, 17],\n [-17, 22, -23, 1, -8, -9, -16, 11, 3, 21, 24],\n [-21, 21, -20, 14, 9, -21, 24, -11, 1, 18, 25],\n [13, 7, -2, -5, -24, -7, 19, -8, -16, 19, 11],\n [-3, 19, 15, -25, -20, -25, -8, 1, 22, 14, 12],\n [19, -9, 0, -13, -16, 12, 0, 5, -3, 24, -6]]\nB =\n[[-3, 19, 1, -11, 12, -15, -18, -12, -13, -4],\n [8, -25, 11, 6, -15, -16, 4, -14, 16, 15],\n [8, -1, 10, -22, -5, 4, 12, -14, 13, -1],\n [-7, -24, -4, 4, 25, 10, -23, -3, -22, 2],\n [-12, -20, -20, 15, 11, -19, -13, -25, -2, 8],\n [-16, -20, -22, -18, 20, 22, -11, 19, -14, 13],\n [21, -20, -5, 20, 6, 6, 1, 21, -15, -4],\n [10, -3, 11, -3, 1, 8, -6, -11, 16, -22],\n [3, 14, -15, 23, -19, -15, 16, 7, 4, 6],\n [14, 11, -13, -19, -2, -15, 5, 18, -12, 18],\n [0, -25, -20, 5, 17, 17, -14, -25, -20, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64780", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, -13, 4, -14, -16, 13, -16, -8, -20, -18],\n [-6, 15, -10, -24, -15, -2, -7, -22, -23, -11],\n [14, -22, 17, -9, -17, -1, -25, 14, -24, 19],\n [7, -4, 16, -14, 1, -15, 16, -12, -12, 14],\n [17, -4, -17, -11, 7, -7, 5, -8, -14, 14],\n [11, 19, 23, -25, 8, -19, -24, -4, -22, 19],\n [20, -6, -23, -17, -8, -10, 25, -17, -7, -20],\n [18, -11, -20, -21, 3, 20, 1, 25, 24, 19],\n [15, 0, 2, 6, -1, -19, 4, 5, -14, -17],\n [8, -23, 11, 24, 2, 20, -4, 0, -7, -5]]\nB =\n[[11, -16, -10, -2, -1, 0, -25, -22, 11, 17, -12],\n [-2, 1, 17, 1, -2, 14, -25, 13, -13, -6, 12],\n [10, -14, -21, -21, -9, 12, -16, -10, -2, 3, -12],\n [-16, 3, 2, -9, -21, -24, 10, 24, 14, 20, 19],\n [13, -17, 10, -21, -11, -17, -1, 24, 2, 1, 20],\n [21, 7, 25, 7, 12, -18, -22, 22, 17, 10, 17],\n [5, -16, 23, 15, 16, -18, 4, -12, 19, 9, 20],\n [20, -23, 3, -10, -16, -22, 24, -22, -24, -15, -11],\n [-15, -3, 12, 24, 4, 24, -25, 19, 7, 19, 11],\n [-3, 23, 22, -8, -16, -9, -19, -11, 25, 1, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 5) of the result:\nA =\n[[-5, 11, 3, 16, 19, 7, -20, -1, 9, -9],\n [18, 1, 17, 14, -1, -14, 17, 11, 14, 18],\n [12, 15, -1, 23, -24, -25, 24, -23, 3, -12],\n [19, 8, -4, 10, -11, 11, -16, -17, 24, 9],\n [20, 16, -9, 21, -8, 23, -1, 9, -10, 25],\n [19, 23, -1, -10, 15, -2, -14, 9, -17, 22],\n [11, 6, -7, -4, 19, 8, -7, 24, -14, -8],\n [-21, 0, 1, -6, -18, -10, -24, 19, -25, -21],\n [5, -3, -5, -14, -22, 11, -15, 16, 14, -17],\n [0, 13, 1, 3, 20, 17, 24, -1, -8, 4],\n [-18, -24, -4, -5, 13, 0, 3, -21, 20, -12]]\nB =\n[[9, -20, -3, -9, -2, 14, 3, 4, -2, 9, 21],\n [11, 25, -24, -5, 14, 15, -21, 9, 18, 9, -7],\n [-10, -1, -10, 5, 7, -9, -5, 9, 23, -3, 23],\n [-10, 12, 24, -12, 14, 25, 15, 24, 7, -5, -9],\n [-22, -10, 4, 18, 19, 8, -4, 18, 16, 3, 21],\n [-21, -25, 14, -1, 24, -20, -3, 7, -12, 16, 10],\n [-8, 25, 14, 18, -16, 19, 13, 23, -14, 12, -3],\n [-19, 19, 20, -1, -13, 12, -7, 19, -4, 15, -15],\n [16, -23, -7, 1, -19, 11, 1, 21, 8, -15, 12],\n [-21, -19, 10, -21, -21, 1, 3, 1, 6, -1, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[24, 8, -11, 15, 8, 9, -6, -2, 8, 8, 25],\n [20, 1, 24, -5, 7, 13, 14, 18, 10, -1, -19],\n [24, 24, -16, -16, 12, -2, 18, -16, 19, 0, 4],\n [1, 18, -7, -25, 7, -15, 24, 8, 12, -10, -25],\n [15, 2, -11, -10, 20, 6, 13, -25, 22, -17, 3],\n [-1, -15, 16, -15, -20, 8, 24, 18, -12, -18, -1],\n [-22, 24, 5, -5, 19, 6, -12, 2, -1, 2, -11],\n [25, 20, 18, -4, 21, -20, 25, -24, -20, -3, 0],\n [-15, -25, 2, -4, 15, -13, 15, 21, 24, 10, -4],\n [-22, 18, 15, -8, 12, -9, -1, -9, 3, 19, 18],\n [20, -18, 3, -11, 15, 7, 23, -16, 11, -15, 9]]\nB =\n[[8, 6, -4, -22, -24, 7, -17, 9, 12, 5],\n [-12, 5, 7, 18, -10, -6, 25, 24, -12, 9],\n [20, 23, 19, 7, 3, -18, 8, 25, 21, -12],\n [-12, 24, -11, 16, 24, -6, 2, -22, -19, -24],\n [-17, -3, 10, -14, -3, 5, 16, -15, -25, -13],\n [13, 3, -20, 5, -17, -8, -23, 6, 19, -23],\n [19, 4, -20, 24, 1, -24, -6, -9, 7, -9],\n [11, 3, -17, -22, 20, 14, -13, -20, 20, -17],\n [0, 23, 13, 15, 21, 16, -12, 22, 8, -22],\n [-5, 5, 21, 17, -5, 17, 3, -2, 19, -10],\n [-17, -5, -24, -24, 11, 11, -21, 20, -20, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4749", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[22, -18, 6, 11, -13, -23, -17, -22, 2, 14, -10],\n [-15, -7, 16, -4, 13, -14, 4, 14, 16, -21, 11],\n [19, 6, 8, -14, 17, -24, 21, -19, 6, 14, 9],\n [23, -20, -4, -1, 21, -13, -3, 19, 18, 20, -17],\n [16, 11, 11, 4, -6, 12, 18, 23, -10, 24, -4],\n [12, -16, -6, 15, -24, -23, 16, -18, -17, 2, -5],\n [25, 7, 8, -22, 22, -1, 6, -14, -24, 21, 24],\n [22, -14, 24, 20, 0, -5, 18, 11, 10, -8, -2],\n [4, -9, -10, 16, -9, 18, -14, 1, -22, 9, -25],\n [-14, 3, -18, -18, -14, 10, 22, 8, 10, -22, -15],\n [-23, -16, -14, 23, -17, -5, 8, -4, -8, 18, -20]]\nB =\n[[-1, 24, 19, -11, -25, 14, -8, 18, 5, -6],\n [18, -1, 7, -16, 3, -7, 2, 1, -7, 17],\n [5, 9, -12, 24, -20, -17, 15, 1, -9, 10],\n [-22, -2, 25, -10, -9, -23, 13, 11, -23, 18],\n [25, 15, 9, -23, -10, -6, 19, -20, 7, 17],\n [24, 1, 4, 9, -8, 4, 17, 0, -11, 6],\n [9, -14, -5, -14, 23, -25, -15, -1, 21, -17],\n [13, 17, 1, 3, 24, 1, 2, 13, -8, -11],\n [-10, 21, -3, 4, 10, 9, 2, 20, -23, -10],\n [-11, -7, -16, 23, -22, -4, -8, -4, 16, -10],\n [-23, 18, 25, 9, 15, 13, -10, -5, -5, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57706", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 21, 8, 22, 13, 20, -3, 8, 4, 24, 7],\n [-10, 15, 4, -23, 19, -24, 0, -8, -24, 14, -23],\n [-9, -2, -24, -20, 14, 0, 23, -20, -14, -5, -10],\n [-20, 8, -23, 15, -7, 3, 6, -16, 1, 3, -13],\n [-6, 2, 1, -13, -1, 3, -11, 19, 19, 4, 12],\n [6, 24, -19, 9, 7, -14, -3, -21, 17, 18, 5],\n [-10, 7, 24, -25, -4, 2, -21, -22, -25, -11, 11],\n [13, 23, 12, 19, -2, -3, 21, -19, 5, -19, -13],\n [-22, -8, 14, -7, -10, -8, -10, 22, 5, -1, -24],\n [20, 25, 2, -10, 10, 19, 14, 9, -2, 9, 4]]\nB =\n[[11, -15, 19, 8, 12, 13, -2, 3, -22, 15, 24],\n [4, -12, -2, 12, 8, 10, -11, 9, 3, 10, -22],\n [-11, -15, 23, -11, -5, 9, -3, -16, -22, 19, -1],\n [-24, 12, -7, -2, -18, -20, -6, -12, 14, -20, -14],\n [15, -19, 19, 4, -10, -18, -12, 22, -6, 2, -20],\n [4, -22, 10, -23, -16, 12, 1, -8, 19, -15, 10],\n [14, 9, 18, -13, -3, 17, -17, -22, 17, 14, 24],\n [5, -23, 10, -9, -10, 13, -24, -21, 7, -13, -14],\n [-7, -4, 14, -18, 18, -22, -19, 22, -4, -8, -20],\n [24, -22, 15, 19, 25, -14, 22, 11, -24, -23, 19],\n [-5, 13, -13, 22, -12, 4, -8, -13, -12, 15, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8228", "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, 11, 1, -3, -19, 22, -16, -1, 9, -2, 23],\n [16, -15, -6, -16, 24, -5, 2, 2, 1, 7, -22],\n [9, -6, -20, -20, -9, -7, 23, -9, 23, -23, 20],\n [8, -22, -3, -8, 8, 3, 18, -11, 19, -15, 13],\n [-17, 21, 9, -16, 14, 12, 3, 20, -20, -7, 0],\n [-17, 15, 22, 19, -13, 0, 18, -6, -24, -22, -19],\n [-7, 9, -15, -7, 6, -12, 23, -21, -1, -12, 13],\n [-14, 23, -6, -8, -25, 17, -22, -14, 0, 6, 11],\n [-11, 9, 0, -11, -18, 2, 4, 17, 18, -23, -20],\n [5, 0, -18, 13, 3, -9, -10, 23, 19, -22, -16]]\nB =\n[[-10, -7, 13, 24, -13, -22, 6, -8, -10, -1],\n [24, -10, -4, -2, 2, -3, -5, -17, -24, 12],\n [2, 0, 1, -1, -5, 12, -1, 12, 20, -15],\n [2, 23, 10, -22, -7, -2, -4, 22, -1, -18],\n [25, -6, -25, -22, -14, -1, -5, -7, 8, -20],\n [9, -23, 7, -17, -19, 15, 1, -25, 14, -8],\n [9, -9, 13, -15, 11, 19, -15, -23, -13, 2],\n [12, 21, 8, 2, -24, 20, -24, 11, -10, -18],\n [14, -15, 19, -11, -22, -3, -18, -10, -10, -2],\n [-16, 8, -8, -10, 10, 25, -18, -6, -3, 14],\n [-12, -10, 12, -8, 14, 25, 4, 10, 10, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49672", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, 15, -25, -9, 2, -19, -6, 16, -2, -25, -8],\n [0, -12, -7, -8, 19, -19, -24, -19, 2, 2, 16],\n [-9, 4, -5, 11, -17, 10, -4, -11, -12, 1, -8],\n [-16, 22, -4, -3, 16, 15, 22, -21, 25, -1, -25],\n [-2, 7, 11, -19, -2, -11, -15, 18, -9, 23, -3],\n [23, -22, 5, 8, -16, 11, -16, 16, -15, 5, -16],\n [17, 12, 16, -18, -15, -6, -2, 25, -19, -5, 18],\n [-20, 5, -14, 11, -13, 23, 5, -17, 1, -9, 25],\n [25, -18, 1, 14, -11, 13, -20, 6, 22, -18, 9],\n [5, 16, 0, 16, -2, 25, -24, 15, -25, -16, 24],\n [-3, 7, 18, 11, -15, -6, 0, 20, 21, -24, -1]]\nB =\n[[-22, -7, -13, -7, -13, -14, -24, 11, 24, -3],\n [-7, -23, -2, -3, -22, -8, -14, 9, 1, 17],\n [-12, 5, -23, -21, 3, 13, -9, -7, 9, 7],\n [-18, 11, 9, -6, -9, 19, -13, -22, 24, 4],\n [-20, -24, -11, 8, -6, -10, 17, 23, 3, 1],\n [-25, -13, 14, 6, -23, -12, 2, 20, 0, -5],\n [20, 25, -15, 1, 18, -25, 7, 20, -8, -24],\n [-22, 24, -22, -9, 22, -10, -17, 0, -16, -19],\n [-17, 22, 1, 6, 23, -3, 1, -1, 3, -2],\n [-10, -10, 2, -6, -7, -16, 0, -24, -23, 13],\n [-24, -1, 19, -22, -11, -8, -19, 1, -8, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7024", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 15, 18, 7, -24, -8, 20, -3, -20, 17, -1],\n [-7, -18, 11, 0, 3, 2, -19, 10, -11, 7, -21],\n [3, -9, 19, 1, -9, 25, -22, 23, -14, -3, 24],\n [-15, 10, -14, -17, -2, -8, 1, -17, 7, -20, 25],\n [7, 14, -20, -22, -23, -13, 0, 8, -13, 21, -18],\n [-14, -18, -7, 15, -16, 6, -5, -3, 1, -1, -19],\n [16, 9, -24, 2, -19, 16, 14, -14, -9, -4, -17],\n [-23, -4, 10, 13, -8, -9, 1, 9, 6, -23, -13],\n [-9, -8, 25, -9, 22, -10, -4, -1, -25, 1, -12],\n [2, 21, 10, 17, 24, 6, 3, -9, 2, 15, -5],\n [-2, 20, 9, -6, -4, -22, -10, -5, 18, -5, 14]]\nB =\n[[15, -15, 11, 18, -4, -6, -24, 17, -15, -5],\n [7, 23, -9, 10, -12, 11, 5, -22, -20, 24],\n [-5, -13, 12, -11, -21, 12, -2, -8, 3, 6],\n [-19, 4, 12, 0, -18, -1, 4, -2, 4, -21],\n [-22, 25, 16, -17, 7, 25, 3, 5, 18, -7],\n [19, 21, -24, -6, -14, 24, -5, 5, 10, -6],\n [18, -6, 19, 10, 20, -8, -20, 7, -16, -8],\n [25, 8, -11, -23, -18, 25, -15, 20, 6, 22],\n [16, -9, 21, 4, 17, -18, 14, -19, -6, -14],\n [-5, 2, 2, -10, 22, -16, -4, -19, -22, -2],\n [8, 15, 21, -12, 18, 23, -9, 19, -18, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8013", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 8) of the result:\nA =\n[[-13, -19, -23, -2, 21, -2, -19, 4, -21, 14],\n [-5, 23, -18, -19, 13, -24, 17, -14, 2, 18],\n [-7, 2, 9, -14, 2, 0, 12, -20, -7, 1],\n [-17, 15, 24, -16, -16, 7, -8, -16, -19, 14],\n [6, 17, -20, -7, 15, 17, 8, 17, -21, -7],\n [23, 24, -12, -16, 23, -15, 5, -24, -16, -5],\n [-25, 20, 5, -15, 17, -16, -6, -5, 11, 11],\n [-12, -21, -20, -2, -10, -3, 21, 12, -10, 25],\n [-13, 25, 19, -18, 12, 6, -4, -9, -21, -18],\n [24, 4, -7, -14, -1, 18, -13, -22, -16, 22]]\nB =\n[[2, -21, 2, 18, 5, -10, -3, 3, 21, -5],\n [-24, -3, -10, -15, -17, -24, -8, -13, 19, -18],\n [-16, 1, -9, -2, -5, -25, -10, 17, 7, -20],\n [-14, 6, 22, -15, -8, -24, 6, 23, 23, -6],\n [-5, 10, 12, 1, 21, -15, -8, -9, 8, 19],\n [0, -20, 17, 4, 13, 24, 6, -9, -13, 20],\n [15, -13, -20, -4, 7, 7, -22, -12, 24, 22],\n [9, 1, -20, -25, 17, 2, 3, 6, 2, 1],\n [-16, -8, -22, 12, 25, 15, 16, 6, -21, -4],\n [22, -4, -24, 15, 17, 8, 24, -24, 20, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "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, -18, 7, 7, -22, -8, -7, -16, 24, 16, 15],\n [4, -4, 13, 12, -25, 4, -21, 25, 21, 0, 20],\n [5, 13, 15, -14, -9, -8, -24, 23, -2, 2, 13],\n [-16, 21, 7, -2, -15, -18, 1, 0, -14, 9, -11],\n [-5, 11, 4, -21, -9, 0, 8, 7, -8, -1, 15],\n [4, 11, -6, 19, -24, -13, 14, 16, -6, -20, -15],\n [20, -1, 16, -16, 5, 17, -22, -1, 2, -2, 9],\n [15, -21, 7, -15, -18, -5, 6, -21, 8, -17, 12],\n [17, 6, -16, -14, 9, 13, -8, -3, -14, 5, -15],\n [8, 1, -5, -16, -13, 19, 21, -1, -13, 15, -20]]\nB =\n[[9, 2, -6, -6, 15, -22, -6, -21, -4, -2],\n [18, -9, -21, 0, 10, -18, -17, -9, -18, -21],\n [-16, 24, -12, 1, 1, -21, -11, 2, -21, -4],\n [-14, 16, -18, -25, 9, -10, 4, 17, 15, -16],\n [8, -15, -6, 17, -19, -5, -15, 11, -3, 18],\n [5, -8, -2, -4, 11, 21, 18, -25, 24, -20],\n [12, 3, 17, -15, -10, -20, -25, 22, 9, -2],\n [12, -23, 25, 14, -24, 25, -11, -4, 20, 20],\n [-22, -2, -7, 4, -4, 13, 22, 14, 1, -11],\n [11, -25, -14, -17, -7, -8, 13, -15, -15, 4],\n [-6, -11, -1, 23, -23, 17, 0, 19, 2, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52257", "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, 6, -15, -13, -9, 20, 20, 10, 4, -22],\n [-12, 20, 2, -19, -10, -12, 11, 13, 23, 1],\n [4, -11, 13, 16, -8, -15, -4, 20, -22, -23],\n [-2, -12, -23, 5, 9, 5, -14, -16, -6, -8],\n [18, 10, 25, -7, -9, 14, -15, -21, 11, 19],\n [10, 19, 22, 18, -12, 2, -17, 12, 3, -1],\n [-18, 22, -7, -24, -20, 4, -24, 25, -7, -13],\n [23, -18, -17, -3, 11, -18, -17, -10, -10, -14],\n [-1, -15, -8, -13, 9, -8, 17, 4, 17, 11],\n [4, -23, 3, -1, -24, 21, -21, 5, -21, -5],\n [22, 23, 0, -19, 4, 8, 2, -12, -8, 18]]\nB =\n[[-9, -1, -20, -21, -5, 13, 24, -6, -15, -21, 12],\n [13, 9, 9, -1, 4, -24, -6, 10, 11, -24, 22],\n [18, 21, 1, 6, -22, 1, 4, -23, 20, 19, 1],\n [12, 10, -25, 9, -14, 9, -8, 20, 11, -3, 7],\n [-12, 18, -25, 1, -2, -24, -14, -13, 1, -6, 21],\n [22, 25, 11, 8, -20, -18, -5, 13, -5, 19, -20],\n [15, 18, 4, -16, -15, -25, -16, -1, -10, -7, -16],\n [21, -12, -23, -22, 14, 7, -6, -11, -19, 18, -23],\n [1, 11, 3, 0, 1, -1, 14, 17, 25, 4, 18],\n [-6, -19, 3, 20, 8, 0, 1, 18, -17, -4, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58954", "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, -20, 1, -7, -20, 23, -9, 3, -3, -9, -5],\n [-16, 17, -18, -12, 5, 25, -8, 21, 4, -8, -1],\n [23, 11, -1, 4, 4, 10, -15, 22, 13, 1, -10],\n [12, 6, 3, -16, 4, -15, -11, 18, -3, 22, -3],\n [24, -19, -12, -17, 2, -20, 17, 19, -4, -8, 18],\n [12, -4, -17, -8, -5, -11, -17, 16, -24, -12, -5],\n [17, 19, 8, -19, -11, 13, -14, -19, -21, 21, 13],\n [-3, 2, 8, -1, -24, 25, -17, 8, 20, 21, 6],\n [-14, -7, 21, 12, -16, -16, 9, 15, 11, 6, -19],\n [25, -16, 17, 12, 1, 6, 25, -19, 22, 0, -4],\n [-14, -2, 24, 20, 3, 6, -10, 0, -20, -25, -13]]\nB =\n[[12, -20, 12, -14, -17, -6, 13, 1, -23, -2],\n [-11, 8, 24, 6, -5, -25, 7, -15, -23, -4],\n [-16, 18, 12, -2, -19, 23, 23, 10, -25, -25],\n [0, -9, -15, -23, -16, -24, 6, -10, 22, 0],\n [14, 13, -16, 10, 4, -17, -21, -19, 10, -25],\n [1, -14, -10, 22, -18, -1, -13, 15, -16, 14],\n [7, 9, 11, 13, 2, -10, -18, 7, 9, 12],\n [-14, -11, -9, 1, 24, -5, -5, -9, 1, -14],\n [22, 18, 10, 2, -1, -17, 21, 11, -3, -15],\n [24, -25, -10, 24, -13, -6, -10, -10, 9, 24],\n [6, -3, -1, 17, 2, 19, -24, -23, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58729", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 21, 9, 10, 0, -14, 18, 20, -15, -20],\n [-1, 20, 8, 9, -5, -8, -18, 8, 22, -12],\n [-7, -6, -22, 12, 6, 0, 2, -14, -16, 15],\n [9, 7, -12, 14, -3, -8, 18, -14, 16, 10],\n [-1, 11, 14, 25, -4, -20, -10, -3, -17, 17],\n [9, 3, -12, -21, -5, -20, -25, 5, 19, 15],\n [2, -23, 12, -3, 14, -22, -20, -14, -14, -19],\n [2, 0, 22, -19, -23, -13, 15, -15, 13, -3],\n [21, -25, 8, 5, 7, 21, 10, 10, -12, 11],\n [6, 2, -25, 21, -19, -10, 6, -2, -12, 21]]\nB =\n[[-11, -25, 2, -7, -19, -8, 21, -13, 25, -8],\n [-22, 24, -22, 1, -10, -12, -12, -19, 19, -12],\n [16, 19, -20, 17, 12, 1, -15, 5, 25, 23],\n [-23, -25, -10, 18, 1, 20, 24, -23, -18, 24],\n [-10, 21, -24, 3, -10, 3, 5, 16, -15, 25],\n [6, -2, -7, 6, -16, 23, 6, -3, 7, 4],\n [4, -19, -10, 17, 24, -25, 4, 8, 8, 12],\n [5, -18, -6, 20, 3, 5, -5, 0, 5, -6],\n [-4, 14, 0, -9, -1, 11, 1, -23, -2, -1],\n [24, -16, 10, 16, -8, 19, -9, -12, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5455", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -18, 24, -10, -1, 17, 6, 23, 24, -7],\n [-8, 6, 20, 23, 14, -11, 23, -5, -15, 3],\n [6, -20, -7, -10, -14, -11, -15, 13, -16, 25],\n [11, 23, -2, 25, 10, -25, 20, -9, -12, 12],\n [-1, 11, 9, -4, 21, -19, -15, -16, -12, 9],\n [20, 23, 10, -20, -21, 16, -19, -11, -5, -8],\n [-25, -22, -15, -16, 19, -7, 16, 4, 24, 15],\n [15, -6, 1, -14, -12, 8, 16, 24, 12, -24],\n [23, 6, -8, 24, -5, 20, -15, 4, -7, 22],\n [14, 24, 4, 9, -22, -5, -21, 10, 1, -19],\n [5, -6, -1, 12, -1, -9, 20, 11, -11, -16]]\nB =\n[[8, 18, 17, -19, 13, 25, -1, 13, 20, 18],\n [2, 16, 1, 11, 13, 12, 2, 8, 3, 19],\n [22, -18, -13, 20, 11, -23, -12, 6, -3, -3],\n [-13, 23, 15, 13, 24, -5, 17, 22, 5, 24],\n [-19, 10, -7, -4, -2, -2, -5, 17, -13, -20],\n [2, 6, -13, 8, 6, -12, 6, 19, -21, 9],\n [-22, -12, -8, -15, -7, -24, 8, -23, 3, -3],\n [22, -25, 16, -20, -9, -7, 18, 22, -24, -11],\n [-3, -7, 7, -20, 24, -7, 4, -4, -23, -21],\n [4, -23, 13, 13, 2, -25, -4, 19, 19, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[25, 13, -9, 16, 25, 2, 24, 4, 14, -18, 1],\n [15, 19, -1, -13, 8, 13, -19, -4, 7, 20, 12],\n [5, 19, 7, -4, 1, 1, -5, 9, 21, 24, -16],\n [21, 2, 14, 11, 15, 7, 25, -18, 11, 24, 15],\n [7, -7, 4, -12, -12, 10, -19, 17, 8, 24, 6],\n [16, 7, -12, -1, 2, 16, 24, 13, 4, 5, -2],\n [25, -22, -12, -17, 10, -20, -2, 0, 8, -25, -3],\n [-9, 10, 11, 24, 19, -6, 0, -15, -6, -25, 18],\n [-13, 10, 18, 12, -13, -12, -14, 8, 1, -14, 12],\n [10, -25, 0, 14, 14, -5, 6, -1, -14, -1, 0]]\nB =\n[[10, -10, -12, 20, 8, 23, -2, -18, 1, 13, -13],\n [3, 5, 17, -7, 25, -16, 17, 22, 14, 8, 20],\n [23, 23, 17, -25, -7, -25, -2, -1, -22, -2, 13],\n [-6, 7, 2, 17, 19, 9, -2, 14, 18, -24, -3],\n [7, -12, -11, 6, -3, -22, -6, 5, -19, -25, -21],\n [-12, 4, 12, -3, -19, 18, 13, 24, -10, -17, 13],\n [20, 8, 5, 19, -19, 25, -24, -20, 18, 8, -9],\n [0, -14, -6, 15, 20, 9, 9, 3, 22, 12, 5],\n [14, -13, 0, -4, -18, 14, -19, -21, -25, 19, 14],\n [-15, 6, -19, 25, 3, 4, -5, 13, 22, 18, 17],\n [15, 13, -6, -4, 3, 20, -22, -23, -17, -21, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2953", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 6, 7, -8, 19, 10, 24, 15, 3, 13, 21],\n [19, -24, -15, 5, -22, 3, 24, -23, -24, 18, 10],\n [-12, 22, -22, 18, 4, -7, -7, 18, 5, -11, 3],\n [-23, -7, -4, 21, -6, -19, -22, -25, 15, -19, -4],\n [11, 4, -17, 1, 12, -3, -14, -13, 7, -11, -10],\n [8, -17, 16, 1, 22, -11, 9, 8, 14, 4, 22],\n [-3, -17, 6, 9, 23, 6, 19, -10, 6, -1, 4],\n [11, 11, 9, 19, -18, 14, 23, 21, 10, -1, -8],\n [13, -16, -25, -22, 0, -15, -11, 6, -11, 2, -3],\n [-23, 25, 6, -6, -12, 9, 14, 16, -17, 21, -2],\n [15, -22, -14, 25, -2, -25, -12, 5, -16, 7, 10]]\nB =\n[[16, 9, 22, -8, -1, -14, 2, 25, -17, -2, -6],\n [0, -21, 1, 2, 11, 14, -19, -7, -4, -8, -11],\n [7, 13, 25, -21, 14, 11, -21, 11, 17, -19, -24],\n [4, 23, -15, 11, 13, 7, -17, -15, -14, -16, -15],\n [7, -6, -21, 21, -2, 6, 5, 16, 18, -12, -7],\n [16, -2, 6, -14, 24, -5, 25, 10, -1, 25, -12],\n [-18, 3, -1, -3, 10, 22, -14, 24, -14, -8, 10],\n [22, 24, -7, 22, 9, 23, 1, -23, -13, 12, 25],\n [15, -7, 17, 9, -11, -10, 9, -21, -19, -5, 15],\n [-25, -1, 4, -7, -2, 20, -11, 9, -2, 10, 23],\n [-12, -4, 13, -18, 22, -10, 20, -9, -21, 15, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64695", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[11, -8, -5, 16, -25, -9, -18, 3, -6, 23],\n [24, 11, 13, -21, -16, -20, -19, 9, 1, 16],\n [-5, -2, 3, 1, 12, -24, -1, -24, 12, -8],\n [16, -19, 23, -22, 18, 14, 15, -16, 25, 15],\n [2, 4, -2, 10, -10, 7, -16, 22, -5, 1],\n [-5, 1, 6, -21, 9, -4, 10, -16, 8, -20],\n [-12, 11, -7, 6, -6, -5, -11, -9, 18, 19],\n [-2, -5, 22, -11, -15, 11, 4, -8, 2, -13],\n [17, -16, 21, 13, -14, 24, 12, 15, 22, 14],\n [0, 18, -7, -3, 22, 10, 1, -10, -19, -13],\n [-14, 1, 7, 5, -15, -9, 12, -24, -23, 8]]\nB =\n[[24, 6, -2, -2, -13, -4, -7, 4, 13, -5],\n [22, -3, -10, 16, -19, -6, 22, 16, -12, 0],\n [-4, 15, 10, 0, -14, 23, 5, 14, -22, 14],\n [1, -17, -14, 3, 2, -10, -18, 21, 23, -13],\n [-12, -11, -17, 18, 6, -4, 25, -1, 15, 0],\n [19, 3, -8, 10, -6, 7, -6, -23, 17, 8],\n [-20, 5, 9, 6, 16, -17, 20, 22, 1, -2],\n [24, -4, 4, 10, 0, 24, -24, 16, 18, -19],\n [1, -10, 23, 20, 3, -5, 0, -8, -25, -24],\n [-12, 12, -11, 10, -2, -1, -17, -11, 11, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[17, 19, -14, 1, -19, 2, -14, 16, 9, -24],\n [0, -6, -1, -5, -25, 2, 12, -13, 4, -16],\n [19, -4, 3, -21, -18, -15, 0, -7, -7, 4],\n [10, 16, -17, -19, -8, -17, -20, -20, 19, -4],\n [-9, -11, -17, -20, -3, -9, 6, 6, 11, -23],\n [-10, -24, -23, 15, 25, -12, -12, 4, 23, 14],\n [23, 1, -9, 13, -17, 10, -16, 3, -22, -5],\n [11, -24, -11, 2, -1, 0, -17, 4, -17, -25],\n [-14, 19, -13, -12, -16, -9, -9, 5, 20, 23],\n [25, 0, 9, 10, -15, -10, 3, 19, -8, -15]]\nB =\n[[-15, -17, -1, 6, 8, -23, -12, 22, 14, -1],\n [-10, 10, -17, -22, 19, -24, -1, 24, -4, -21],\n [23, -5, -16, -3, 1, 4, -22, -20, 0, -16],\n [23, -21, 13, 11, 14, -25, 8, 22, -18, -5],\n [5, 21, -3, -15, -10, 1, -19, 23, -2, 6],\n [9, 5, 21, 3, -22, 9, -15, 8, 13, -11],\n [-12, -5, -19, -9, 16, -8, -12, 12, 3, 25],\n [-16, -9, 6, 25, -6, -9, 20, -19, 25, 13],\n [18, 4, 12, 14, 15, 24, -16, 6, 0, 22],\n [-9, -25, 13, 0, 4, -17, 18, 7, 0, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5451", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-16, 16, 6, 13, 21, 16, 22, 22, 7, 1, 17],\n [3, -7, -8, 9, 21, 2, 12, -16, -23, 16, 3],\n [-10, 10, -25, -8, -22, -21, -5, -22, 25, -6, -7],\n [9, 19, -2, -6, 24, 2, 12, -2, -6, -2, -20],\n [12, -1, 6, -9, -9, -21, -9, -17, -6, -24, -7],\n [-17, 14, -7, 19, -22, -20, 10, -15, -5, 16, 22],\n [-1, 4, -8, -1, 25, -5, -3, 4, 18, 20, -8],\n [7, 19, 9, 20, -4, 24, -2, -3, 25, -25, -11],\n [22, 2, 16, -6, 10, 17, -10, -21, 25, 17, 24],\n [-11, -24, -2, -13, -3, -14, 20, 7, 18, 19, -1],\n [9, 9, -25, 17, -22, 5, 2, -15, 6, -24, 25]]\nB =\n[[18, -13, -9, 25, -22, 5, 12, -23, 17, -14, 18],\n [-8, 4, 20, -15, -2, -5, 23, 22, 9, -22, 0],\n [-18, -2, 17, 19, -14, -21, -10, 6, 3, 7, 15],\n [-12, -1, -18, 1, 9, -4, -19, 10, 21, -14, -17],\n [24, 19, 9, 13, -7, 2, 3, -18, 17, 1, -21],\n [22, 3, 9, 7, 6, -5, -16, 16, -10, -15, -7],\n [-13, -11, 16, 10, 6, -7, -11, 12, -4, 23, -13],\n [-6, 23, -11, -19, -4, 17, 24, -6, -7, 1, -18],\n [-8, -16, 24, 23, 15, 9, -11, -3, -14, 23, 1],\n [-20, -2, -4, -17, -16, -23, -20, 0, 19, -12, 10],\n [16, -7, 22, 13, -3, -21, 18, -11, 4, 7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-7, -21, -17, -19, -2, 15, -10, 11, -16, -5, -5],\n [21, -11, -13, 24, -19, 14, -18, 17, 15, 12, -24],\n [11, -4, -22, 21, -19, -25, -7, 4, 24, -24, -13],\n [2, -12, -23, -10, -1, 20, 21, -23, 8, -23, 15],\n [3, 14, -7, -6, -5, -6, 2, 21, 1, 18, 20],\n [24, -1, -24, 17, -2, 7, -7, 0, 20, 15, -23],\n [1, -12, -6, 9, -3, -1, -22, -24, -24, -1, 21],\n [-3, -5, 19, -1, 1, -15, -12, -9, -11, 20, 25],\n [5, 8, 10, 14, 18, -13, -8, -9, 19, 18, 13],\n [2, 0, 22, -12, 11, -15, 6, -2, 5, 14, 15],\n [24, -18, 13, -18, 21, 5, -7, 10, 13, 6, -5]]\nB =\n[[-3, 10, -11, -24, -14, 12, -20, 20, 12, -25],\n [12, 24, 0, 22, -3, -25, -5, -7, 3, 24],\n [0, 8, 25, -9, -8, 6, -22, 4, 5, -8],\n [-21, 6, 3, -14, -11, -11, 9, 9, 17, -12],\n [13, -8, 12, -4, 12, -15, -23, -12, 18, -1],\n [-12, 21, 5, -1, 15, -7, -14, -19, 23, -12],\n [3, 21, -12, -3, 25, 25, -12, -3, -18, -13],\n [10, 18, -25, 11, 0, -22, -10, -1, -7, -6],\n [0, 25, 6, -23, 22, -19, 6, -21, -5, 4],\n [-6, 3, -2, -25, 17, -1, 1, -1, -5, -9],\n [2, 6, 18, 24, 8, -4, 16, -7, 22, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-24, -21, 2, -22, 10, -25, -11, -13, 5, -9],\n [-20, -2, -13, -5, -2, -4, 3, -2, 18, -14],\n [-6, 16, 8, -11, 25, -22, -12, -25, 7, 24],\n [21, 17, 24, 3, -16, 10, -12, -4, 24, 7],\n [2, -19, 10, 10, 24, 15, 8, 11, -20, 9],\n [1, 4, 6, -7, -4, -5, -21, -5, 15, -6],\n [12, 5, 11, -20, 5, 21, 17, -2, -8, 3],\n [25, -14, -14, 3, -19, -10, -14, -5, -22, 16],\n [-9, 2, 5, 21, -18, 20, 24, 0, 14, 20],\n [22, 5, -7, -19, 23, -21, -13, -8, -8, 25],\n [24, -6, 23, -3, 10, 23, 25, 14, 7, -19]]\nB =\n[[14, -21, 6, -17, 4, 6, 13, -22, -1, -4],\n [-18, -24, 11, 9, 11, -4, -25, 13, 16, 22],\n [7, 23, -22, 22, -17, -18, 25, -4, 23, 16],\n [23, -5, 22, 15, 2, 11, -24, 20, -9, 5],\n [19, -13, 19, -8, -2, 5, 7, 5, 1, 10],\n [-5, -21, -15, 8, 8, 22, -23, -20, -6, -22],\n [11, 13, -19, -9, 12, 10, 8, -20, 13, -24],\n [-8, 16, 1, 13, 15, 25, -7, 6, -2, 8],\n [-1, -2, -1, -14, 4, 25, -20, 4, 7, -11],\n [3, 25, -12, -1, 19, -21, -24, 21, -10, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1831", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, -9, 5, -25, -20, 5, -20, 10, -18, 3],\n [-17, -4, -16, -2, 14, -24, -6, -9, 7, -12],\n [6, 11, -2, 15, -6, 23, -20, 7, 24, 2],\n [-15, 10, -6, -20, -18, -7, -11, -4, 25, -24],\n [2, 10, 10, 18, -8, -14, -7, 0, -1, 2],\n [-11, -16, 13, 8, -13, -10, 14, 5, -25, 23],\n [21, -3, -12, 13, 4, 25, 16, -6, -1, -15],\n [0, -5, -21, -19, -14, -24, 13, -5, 6, -21],\n [1, 5, -14, 10, -5, -7, -23, -9, 4, 10],\n [-17, 8, 3, -16, -17, 14, 24, -15, -7, -4]]\nB =\n[[24, 25, 23, -4, 23, 21, -10, -9, 14, -19, 5],\n [-22, 3, -19, 17, 4, -23, -1, 8, 7, 5, -2],\n [12, 20, -22, 22, -16, -1, 11, 17, -25, -9, 20],\n [-19, -12, -25, -20, 13, 17, -16, -5, -23, -7, 2],\n [-24, 1, 18, 6, -14, -25, 20, 17, 14, 3, -17],\n [-8, 19, 10, -10, 9, 10, -22, 14, 17, 9, -7],\n [-20, 5, 1, -23, 10, 10, -24, 22, 11, -11, 11],\n [-3, 18, 25, 21, -20, 7, -21, -5, 2, -5, -2],\n [25, 2, -15, -4, 20, 20, 8, 11, 15, -9, 25],\n [-11, 3, 8, 15, 17, -4, 1, 12, -11, -5, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-999", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[21, -8, -19, -10, 9, -14, -19, 15, -16, -25, -14],\n [1, 2, -8, -25, 24, -3, 13, -9, 19, 16, 20],\n [-25, 12, -22, 25, -11, -5, -5, 25, -4, 18, -12],\n [9, -22, 9, 6, 2, -14, 4, -17, -7, -10, 4],\n [-25, 20, 19, -3, -14, -21, -6, -23, -24, 17, -6],\n [-24, 22, 14, 9, -22, 10, 14, -20, -12, -11, 23],\n [11, 7, 18, -7, -14, 17, -17, -7, 6, 2, 2],\n [5, 10, -13, 16, 7, 16, -8, 3, 19, 13, -18],\n [23, -4, -25, 22, 5, -6, 10, -3, -9, 19, -16],\n [-17, 20, -9, -23, 7, -25, -6, -24, -10, -17, -12]]\nB =\n[[-25, 9, -8, -25, 17, -21, -15, 12, -2, 13, 19],\n [6, -10, -23, 21, -18, 6, -4, 22, -9, 1, 19],\n [-23, 0, 9, -13, -9, 4, 3, -12, 4, 11, 18],\n [22, 12, -17, 22, 6, -22, -20, 25, -25, -1, 14],\n [12, -23, -5, -12, 4, -24, 22, -4, -13, -1, 22],\n [17, -15, 22, -16, 23, 18, 11, -1, 18, 9, -7],\n [2, 16, 22, 25, 17, 22, -16, -11, 6, -23, -2],\n [-16, 18, 4, 15, 25, 7, 19, -1, 13, 13, -1],\n [12, -14, -22, 2, -6, -16, 5, -7, -24, -22, -11],\n [12, 7, -8, 14, 6, 6, -13, 25, -10, 7, 8],\n [25, -12, 21, -24, -13, 3, 17, 16, 8, -9, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3837", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -22, 5, -21, -24, -22, 18, 12, 1, 1],\n [-11, 13, 12, -12, -8, 3, -19, 12, -2, 12],\n [-20, -6, 16, 10, -16, -4, 7, -3, 20, 24],\n [15, 16, 25, -22, -5, -13, 16, -13, -14, -2],\n [9, -7, -17, -13, -4, 14, 10, 2, 15, -19],\n [4, 5, -15, 4, -11, -13, 9, 9, -6, 17],\n [-3, 11, -6, -7, 18, -8, -22, -18, 20, 4],\n [22, -6, -18, -21, 15, 8, 14, -19, 24, -4],\n [-17, -15, -14, -18, 6, -9, 0, 25, 7, 0],\n [-4, -23, 5, -12, -8, 8, 14, -9, 15, -14]]\nB =\n[[13, 7, 6, -5, -12, -24, 23, -19, -11, 5, 2],\n [15, -18, -19, 10, -16, 13, 21, 4, 19, 14, 15],\n [15, -21, -5, -20, -10, -10, -2, 20, -7, -7, 22],\n [11, 7, -21, -17, -5, -19, 16, -1, 21, -5, 18],\n [-13, 24, -5, -16, -2, 1, 7, 0, 10, -9, -5],\n [19, -24, -11, 18, -24, -19, 10, 20, 24, 17, 6],\n [-23, -23, 24, 7, 19, -1, 11, 10, 9, -7, 19],\n [22, -7, 7, -8, 1, 4, 5, 13, -23, -4, -16],\n [-18, 8, 16, -8, -14, 20, 6, -24, -9, -14, -19],\n [-11, -24, 1, 0, -1, -14, -9, -25, 5, 14, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7310", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, 2, -18, -12, -20, -8, 11, -16, 21, 9],\n [9, -9, 20, 1, -2, -16, 25, 22, -9, 19],\n [7, 7, -9, -8, 23, 18, 12, -19, 23, 0],\n [22, -25, -15, -16, 5, -1, -25, 17, -23, 22],\n [-25, -19, 17, 23, 25, -12, -3, 22, -9, -12],\n [-17, -5, 19, -24, 6, -18, 10, 0, 11, -11],\n [8, -5, -3, -17, 14, 0, 17, -4, -13, -1],\n [-19, 25, 1, -11, -14, 19, 7, -5, -1, 14],\n [21, -4, -12, -18, -2, -23, -14, 21, -4, -10],\n [-19, -8, 19, -3, 0, 12, -24, -24, -4, 25],\n [12, 16, 2, -9, 25, 22, -8, 25, -24, 9]]\nB =\n[[-11, -11, 18, 19, 8, 24, -11, -8, -13, 12, -18],\n [-10, -6, 0, 9, -9, 0, -8, 18, -19, 18, 9],\n [-14, 21, 23, 18, 15, -25, -1, -10, -11, -15, 11],\n [13, -23, 19, 19, 25, 16, 13, -6, -3, -11, -8],\n [13, 9, 3, -6, 16, -11, 6, -14, 22, 25, -14],\n [-1, 8, -18, -2, 19, -25, -1, 8, -12, 10, -20],\n [19, -17, 22, -25, -17, -2, 13, -8, 22, 13, -8],\n [15, 2, -24, 11, 15, 10, 22, -2, 9, -20, -9],\n [4, 25, -18, 16, -16, -10, 12, 0, 5, -18, 9],\n [8, -16, 14, 18, -14, 15, 1, -7, 0, -11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-941", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[20, 11, -8, 3, 18, 1, 12, -6, -5, 3, 17],\n [-11, -4, -3, -22, -2, -12, 11, -5, 17, 13, -13],\n [-7, 0, 10, 18, 20, 7, 14, -10, -7, 11, -12],\n [18, 18, 4, 5, -6, 18, 17, 21, -19, 16, 11],\n [21, -24, -4, -13, 20, 12, 5, -25, 21, 17, -13],\n [-9, -22, 17, 5, 7, -12, -5, -4, -21, 11, 6],\n [-23, 15, -13, -15, 24, 16, 12, -2, -17, -13, -4],\n [-8, -16, 21, -14, 4, 21, 20, -7, -7, -16, -25],\n [-19, -15, -22, 10, -5, -4, -16, -3, -21, 22, -14],\n [4, 7, 11, -8, -22, 1, 21, -3, -20, -19, -7],\n [20, -11, 22, -4, 6, -11, -20, -20, -20, -14, -24]]\nB =\n[[-1, -22, -20, 16, 25, 11, 12, -12, 21, -7, 25],\n [-19, -8, 18, -18, 2, -5, 9, 21, -16, 2, -7],\n [18, 9, 2, 20, 23, -23, 13, 1, -9, -11, 16],\n [13, -4, -6, 1, 9, 21, -21, -24, 15, 24, 19],\n [-6, -19, 10, -18, 1, -20, -2, 10, -21, -6, -6],\n [15, 14, 8, 13, 24, -16, -23, 23, 8, 9, 11],\n [19, 19, 12, 20, -3, 11, -5, 1, -25, -17, -23],\n [12, 10, 8, 4, 5, 4, -10, 3, -20, -12, -16],\n [-2, 10, -2, -19, 23, 11, 20, 22, 14, 22, 12],\n [-1, 17, 8, -25, 2, 15, 3, 6, -21, 8, 20],\n [0, -13, -14, -4, -17, -20, 10, -16, 11, 6, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2605", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (11, 7) when matrix A is multiplied by matrix B?\nA =\n[[-22, -13, -10, 17, 25, 24, 0, 7, -22, 0, -17],\n [15, -15, -21, 12, 6, 3, 12, 14, 2, -2, -7],\n [-25, -21, -3, -7, -24, 22, -24, -17, -8, -10, 13],\n [-17, 18, 25, -3, 7, 12, 8, 0, -9, -12, -13],\n [-4, 17, 22, -8, -6, 4, 9, 7, 20, -9, 9],\n [-14, -24, 8, -14, 0, 6, -5, -21, 2, -3, 22],\n [6, -21, 9, -20, -7, 18, 14, -20, -12, -23, -15],\n [13, 15, -2, 17, 19, -8, 5, -16, 0, 3, -24],\n [4, 13, 21, -16, -14, -6, 15, -7, -20, -3, -7],\n [5, 7, -24, -11, -15, 0, -8, -25, 6, -22, -4],\n [10, 3, 10, 24, 7, 13, -12, 22, 21, 11, 19]]\nB =\n[[-21, 24, -4, -21, 11, 12, 20, 8, -11, 22],\n [11, 1, 22, -25, 3, -18, 7, -19, 3, 5],\n [12, -18, 5, 11, -11, 6, 0, 22, 23, -15],\n [-3, 8, 7, -9, 7, -24, 23, -22, -14, 3],\n [16, 16, 21, 17, 13, 16, -7, 24, -24, -19],\n [20, -4, -15, 7, -6, -21, -22, -12, -23, 24],\n [-8, 1, -22, -23, 1, 2, -4, 16, 3, -10],\n [9, -7, 4, -11, -21, 5, 17, 5, -17, -13],\n [17, -5, 20, 5, -25, 15, -13, 8, 10, -10],\n [-16, 12, 15, 8, -1, -25, -14, -4, -4, 22],\n [-24, 19, -18, 7, -21, -16, -23, -15, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 3) of the product matrix AB given:\nA =\n[[-21, -14, 18, 19, 3, 0, 3, 3, -12, 10, 9],\n [23, -18, -10, 17, -21, -10, 15, -13, -18, 0, -21],\n [-17, 12, -24, -19, 4, -9, 18, 5, -25, 2, 4],\n [21, 5, -2, 5, -15, 16, -10, -17, 4, -14, 21],\n [-10, 7, -20, 19, -25, -13, 11, 9, 18, 0, 16],\n [-17, -9, 12, 20, 9, -1, 24, -19, 15, 21, 5],\n [6, 25, 22, -7, 25, -9, -20, -1, 7, -7, -11],\n [9, 23, 6, 12, 10, 6, 6, 14, 10, 8, -16],\n [18, 7, 18, -16, 18, 25, 9, -4, 25, -3, -19],\n [-5, -25, -13, -17, 22, 24, 21, -6, 21, 21, -16],\n [0, 24, 21, 18, -25, 19, -9, -9, 13, 17, -14]]\nB =\n[[15, -11, -25, 6, -15, -21, 25, -8, 24, -8],\n [-3, -19, 20, 0, -25, 2, -6, 15, 22, -3],\n [6, 12, 13, -8, 7, -1, 6, 22, 24, 24],\n [25, 2, -13, -7, -23, 1, -9, 17, 3, 23],\n [18, 18, 22, 7, 2, -6, 19, 8, -10, 13],\n [-24, 24, 2, -9, 22, -6, -8, 2, 2, -10],\n [7, -5, -21, 21, 19, 11, -8, -21, 22, 17],\n [-15, -4, -3, 0, 1, -23, 25, 16, -24, -9],\n [-23, -23, 14, -10, -14, 25, -25, 25, -22, -9],\n [-7, -22, 21, 13, -6, 23, 15, 13, -22, -9],\n [-11, 15, 2, -10, -20, 2, 6, -9, -1, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1611", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 20, -11, 24, 25, -8, 20, -6, -3, -21],\n [13, -14, -9, 4, -7, 6, -10, -24, -14, 23],\n [-23, -18, 11, -2, 23, -1, -1, -12, 20, 10],\n [-11, 6, -24, -5, -22, 3, 23, 3, -3, -23],\n [-5, -10, 18, -6, 9, -21, 22, 0, -19, -10],\n [-9, -24, -14, -13, -21, -10, 2, -18, 2, 20],\n [-18, 3, -8, 18, 17, -10, 0, -4, -11, -13],\n [-4, -5, 24, -2, -25, 3, -25, -25, -17, -5],\n [-12, 2, -8, 7, 17, -24, 25, 8, -2, -7],\n [-24, -20, -11, -15, -10, -5, 1, -4, -23, -23]]\nB =\n[[25, -5, 17, -20, -1, 15, 11, 4, 13, -6, -25],\n [9, 17, 0, -5, -16, 19, 3, -23, 17, 15, 17],\n [15, -13, -17, 20, -10, 23, 21, 2, 2, -15, 18],\n [4, -15, 3, 24, -14, -18, -16, 9, 10, -13, 1],\n [14, -24, 2, 8, -5, -20, 13, 0, 10, 14, -8],\n [16, 17, 13, -21, 0, -15, 24, -10, -7, -21, -19],\n [-23, -1, -16, 25, -21, 6, 6, -21, 17, -7, -14],\n [5, -9, -4, 21, 24, 15, -4, 23, 0, 5, 17],\n [-20, -14, 17, 1, -9, -16, 19, -21, -22, 13, -11],\n [-24, 23, -18, -10, -6, -2, 9, -9, -21, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8184", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[20, 17, 5, -6, -13, -17, 8, -14, 14, -10, -25],\n [-10, -20, -6, -20, 9, 15, 25, -23, -5, -19, -12],\n [4, -4, -12, -1, -23, -21, -21, 25, 16, -17, 22],\n [15, 12, 11, -22, -6, -5, 24, 22, -2, -19, 20],\n [23, -18, -15, 23, 20, -17, -20, 14, -9, -13, 19],\n [-9, 25, -24, 4, 6, 24, 10, -19, -10, -7, -11],\n [-12, 19, -19, 21, 7, 8, -2, 9, -5, -2, 11],\n [-10, -9, 3, -8, 22, -15, -23, 16, -8, -10, 15],\n [-25, 17, 17, 1, 5, 19, 2, 14, 25, 1, -17],\n [12, 10, 15, 1, 21, 24, 0, 1, -22, 25, 22]]\nB =\n[[12, -14, 21, -11, 21, 22, 4, -12, -18, 2, 5],\n [-24, -11, 14, 17, 22, -18, -21, -22, -14, -16, -22],\n [25, -16, 3, 2, 3, -7, 25, 17, -13, 8, 20],\n [-6, -8, 22, 10, -25, 0, -23, 18, -23, -5, -8],\n [5, 10, 23, 18, 5, -18, -1, 23, 20, -6, -15],\n [14, -25, -5, -9, 2, -8, 3, -16, -17, 8, -6],\n [5, -23, -25, 7, 24, -18, -8, 4, 7, -4, -9],\n [16, -17, -4, -16, 7, 22, 13, -23, -9, -17, 21],\n [14, 10, -7, 8, -24, 19, 1, -7, 7, 0, 21],\n [8, 2, -10, -4, 2, -12, -20, -15, 20, -6, 10],\n [23, -10, -20, -18, 19, 10, 22, 23, -22, 22, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 8) when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, 19, -23, 2, 4, 3, -5, 16, 1, 24],\n [-1, -23, -25, -3, 17, -21, 5, -1, 9, 17, -25],\n [-11, 13, -2, 8, 21, -8, -1, 10, -25, -17, 15],\n [5, -4, 12, 20, 15, -24, 15, 19, -6, -3, -14],\n [-16, 6, -21, 18, 3, 7, -3, 10, -13, 24, -24],\n [-15, 2, -1, 10, -8, 13, -17, -24, 10, 20, -9],\n [7, 9, 7, 6, -6, 4, -4, -1, 19, 20, 18],\n [-15, 24, 8, 2, 9, -22, -17, 17, -4, -1, -5],\n [-1, 15, -9, -11, 15, -19, 6, -18, -23, 7, 10],\n [-9, -25, 10, 14, -9, 18, 22, 11, -1, -1, -13]]\nB =\n[[-13, -14, 6, 9, 2, 18, -6, 2, 5, -2],\n [-15, 16, -10, 12, -9, 19, 24, 18, -21, -6],\n [22, 9, 22, 17, -12, 0, 19, 17, 20, 16],\n [-2, 5, -8, 13, 24, -4, -5, 8, -1, 14],\n [21, 4, -20, 19, -1, -21, 3, -4, -23, 21],\n [4, -2, 15, -9, 23, 19, 24, -6, 0, -21],\n [-13, 13, -22, 19, -9, 14, 9, 5, -10, 8],\n [6, 7, -18, 4, -23, -9, 25, -2, -10, -6],\n [-16, -2, 21, -19, 22, 23, -6, -13, 3, -16],\n [-17, -19, 18, 7, -2, -10, 6, -22, -12, 3],\n [-4, -3, 0, 0, 23, 18, 21, -4, 18, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 10) of the result:\nA =\n[[16, -9, -12, 19, 4, -13, 0, 14, 6, 20],\n [8, 25, -3, 8, 18, -14, -3, 2, -7, 22],\n [8, -18, 8, 16, -10, -19, 1, 25, -6, 9],\n [-9, 2, -18, -22, 7, 24, -4, 5, -25, 15],\n [-12, -19, -18, -18, -2, -25, 9, 15, -18, -21],\n [6, -25, -24, 16, 20, -11, 16, -17, -14, -16],\n [-2, 15, 24, -7, 25, -9, -24, -16, -21, 13],\n [-20, -24, -18, -22, 24, 5, 10, -18, 5, -9],\n [20, 14, -12, -18, -1, -12, -3, 17, 15, -9],\n [23, -14, -6, 8, 23, -15, 1, -17, -8, 12]]\nB =\n[[10, 20, 2, -6, 16, 3, -22, -11, 15, 18],\n [2, 14, -2, 11, -10, -4, 21, -9, -25, 5],\n [-1, -14, -6, -7, -21, -11, 15, -1, 9, 18],\n [25, 21, -23, -8, -4, -10, -11, -21, 16, 16],\n [-13, 24, 2, -16, -10, -24, 24, 10, 25, -1],\n [-21, 2, -9, -24, -11, 12, 3, -3, -8, -12],\n [6, 18, -20, 2, -8, 9, 12, -22, 25, 23],\n [5, -15, 20, -15, 3, -7, -9, -22, 18, -22],\n [-14, 23, 21, -19, -5, 7, 11, -14, -19, -11],\n [11, -17, 7, 12, -10, 5, -11, -24, -13, -21]]\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[[22, 7, 6, 16, 22, 19, -5, -24, 10, 7],\n [-15, 15, -3, 12, 7, 14, -18, 10, 10, 7],\n [3, 5, 4, -18, 0, -3, 24, 25, 17, 0],\n [16, 12, 13, -24, 0, -8, 1, 24, -9, 19],\n [-11, 17, -19, -9, -7, 1, 14, -9, 6, -10],\n [4, -12, 24, 15, -8, -4, -10, 23, 23, -10],\n [0, 25, 17, -20, 25, -19, -17, 18, 0, -24],\n [10, -23, -5, 18, -23, -17, -14, -18, 25, 11],\n [-5, 11, 14, -23, 25, 15, -5, 0, -2, 20],\n [8, 6, 1, 21, 4, -22, -24, -3, 15, -22]]\nB =\n[[11, -15, 10, 10, -11, 11, -23, 22, 4, -3],\n [7, -25, -25, -23, -17, 6, -13, 19, 5, -5],\n [-3, -13, 0, -1, -18, 14, 4, 25, -21, -2],\n [-16, -7, 9, -4, 13, 12, -19, 13, -6, 14],\n [6, -24, -11, -16, -5, -11, 8, 9, 25, -21],\n [-7, -19, 20, 18, 16, 16, 10, -8, -20, -22],\n [-21, -12, 15, 21, 7, -5, -13, -24, -11, 21],\n [-10, 9, 19, -6, -25, 20, -23, -9, -9, 15],\n [-6, -6, -22, -15, -11, 19, 1, -2, -6, 18],\n [-11, -20, -8, -4, 23, -5, -2, -9, -15, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57943", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 5, 2, -2, 10, 19, -2, 7, 25, 4, 11],\n [-13, -10, 22, 17, -17, 24, 21, -13, -19, 9, 18],\n [0, 24, -17, 9, -2, 7, -5, -4, 13, -7, 18],\n [20, 19, 6, -21, -14, 14, -20, -8, -19, -7, -11],\n [16, -17, -6, 22, -6, -22, -16, 16, 14, -25, 9],\n [-2, 18, -19, -4, -3, -25, -2, -6, 6, 5, 7],\n [10, -8, 11, 7, 7, -21, -8, -17, 16, 5, -19],\n [-11, 20, -22, 20, 13, -18, -2, -18, -21, -3, 17],\n [8, -11, 25, 24, 21, -7, -1, 13, -22, 20, -18],\n [3, 16, -13, 12, 10, 11, 16, 19, 25, 17, 5],\n [-7, 11, -1, 11, -25, -5, 15, 13, 15, 0, 16]]\nB =\n[[-23, 24, 15, -21, 17, 3, 7, -24, -8, -12],\n [14, 4, 3, 3, -7, 20, 0, 20, 14, -17],\n [20, 18, -13, 12, 5, -12, 5, -11, 8, 24],\n [-16, -5, 13, -1, 11, 14, -6, 19, -19, -8],\n [15, 18, 0, -9, 16, -19, 2, -5, 11, -3],\n [21, 22, 22, -16, 20, -9, 12, -25, -15, 7],\n [5, 18, -2, -6, 21, -21, 16, 0, 23, 16],\n [-19, 1, -8, 12, 5, -17, -24, 18, 11, 21],\n [19, 3, 8, -11, 20, -17, -10, -24, -25, -17],\n [-6, 20, -24, -25, -16, -3, -7, -8, -2, -4],\n [-6, -15, -17, -11, -10, -13, -20, -1, 21, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6454", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, 17, 7, -12, 8, -24, -6, 16, -10, -23, 20],\n [4, -3, 13, 25, 25, -3, 25, -23, -13, 25, 20],\n [14, 3, -3, 14, -9, -5, 3, 11, -21, -5, -24],\n [-3, -15, -11, -3, -19, 17, 8, 12, 15, 23, 25],\n [18, -20, -10, -24, 6, 17, 21, 12, 2, 15, -17],\n [-1, 24, 0, 19, 0, -21, -9, 0, 0, 17, -17],\n [-3, -2, 15, -17, -16, -20, -22, -25, -20, 12, 3],\n [18, -23, 19, -2, 16, -17, -9, 17, 12, 16, 24],\n [-12, 10, 19, 7, -6, 8, -23, -6, -23, -20, 3],\n [13, 17, 5, 13, 23, -5, 25, 18, -25, 7, 24]]\nB =\n[[-16, 0, -23, -12, -18, 22, 24, 6, 15, 10],\n [1, 7, -5, 0, -12, 17, 10, 2, 2, -5],\n [22, 15, 3, 20, 12, 8, -25, -6, 0, 25],\n [1, -3, -19, -4, 21, 11, 9, 21, -22, 3],\n [11, 10, -23, -24, -21, -8, 8, -11, 24, 24],\n [14, 18, 15, 25, -25, -4, -1, -9, 7, -9],\n [12, -21, 11, 17, 17, -15, -14, 18, 8, 9],\n [13, 20, -10, -2, 5, -12, 23, 21, 6, 17],\n [-13, 12, -9, 18, 10, 16, -8, -7, -19, 4],\n [-14, -15, 3, -23, 8, 8, 5, -4, -24, 1],\n [21, 10, 6, 9, -9, 8, 0, -16, 13, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "492", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -6, -11, 14, 23, 1, -15, -10, 4, -4, -2],\n [24, -2, 10, -8, -6, -18, -11, -13, 10, -12, 21],\n [21, -2, 11, -2, 21, -8, 6, 9, -6, 16, 6],\n [11, 11, 21, 7, -25, 22, 2, 1, -9, 20, -11],\n [-12, 5, 8, -23, -14, 0, -2, 8, -18, -14, -17],\n [0, 20, 12, 23, 17, -7, -5, -13, 9, -23, -1],\n [6, -5, -12, 5, -18, -19, 10, 9, -7, -24, -21],\n [18, -24, -8, -11, -10, -14, 18, 10, -4, 2, 14],\n [17, -4, -22, -14, -5, 1, -3, 16, 1, 15, -10],\n [6, 10, -9, -8, 1, -19, 15, 12, -6, 9, 21]]\nB =\n[[7, 0, -2, -2, 5, 1, 23, -17, -24, -20, 5],\n [-1, -10, 19, -20, -3, 21, -21, -9, -17, 0, -13],\n [-19, 22, 14, -8, 11, 19, -2, 6, -19, -6, 19],\n [8, -7, 20, -12, 6, -17, 10, 23, 0, -6, 3],\n [-10, 5, -2, 4, -18, 0, -11, 24, -16, 10, 13],\n [-2, 23, -18, -25, -16, 21, -3, 12, -16, 7, 5],\n [12, -13, 9, 18, 21, 6, -4, -19, -20, 15, -10],\n [-14, -17, 14, -21, -23, 10, 17, -16, -18, -17, -13],\n [-7, -3, 17, -2, -23, 7, -3, -12, -7, 7, -3],\n [1, -14, 20, 21, -19, 10, 20, -8, -10, -12, -5],\n [17, 1, -1, 12, -11, -16, 4, 18, -17, 2, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59207", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 8) of the product matrix AB given:\nA =\n[[-8, -15, 12, 25, -24, -4, -3, -6, 19, 3, 0],\n [15, -14, 22, 3, -7, 8, 22, 1, 4, 11, 5],\n [2, -1, 23, -20, -19, -20, 9, -1, -5, 21, 22],\n [-9, 15, 0, 15, -9, -19, -1, 8, 0, -20, -16],\n [-9, -12, -23, 22, -10, -21, 22, -3, 1, -21, 11],\n [12, -8, -14, -5, -19, -9, 16, -17, 15, -2, -15],\n [-1, 20, 11, -19, -9, 15, -7, -5, 19, -17, 19],\n [20, -18, 20, 19, 1, -3, -16, -24, 18, 22, -19],\n [-24, -10, -20, -10, -1, 19, -16, -17, 6, 6, -24],\n [-5, 22, -23, 8, 3, 16, -6, -3, 11, -18, 18],\n [10, -12, -3, 1, -11, 9, -4, 21, 10, -11, 6]]\nB =\n[[15, -8, 19, 5, 15, 10, -1, 19, -16, 14, -12],\n [22, 0, -7, 4, 13, -14, 5, 19, 21, 21, -8],\n [-24, -12, -6, 13, -6, 8, 8, 11, -23, 9, 7],\n [-7, 5, 18, -4, 1, 12, 2, -5, -6, 12, -13],\n [3, -5, 16, 7, 6, 22, 20, 2, 24, -12, 16],\n [-4, 11, 8, -9, 7, 7, 12, 0, 13, -19, -1],\n [22, 25, 4, 15, 7, 24, 13, 2, -8, -16, -24],\n [17, 24, 17, -12, -13, -25, 6, -1, -16, -11, 25],\n [3, -9, 16, 14, -3, -19, 24, 10, -20, -24, 19],\n [6, 18, -21, -7, -24, 17, -3, 14, -22, -22, -15],\n [20, 15, -6, -12, 9, 19, -12, 23, -23, -11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1241", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-24, -5, -16, 1, 21, -7, -14, 23, -10, -18, 11],\n [-1, -2, 21, 14, -8, -5, -18, -7, 23, 4, 1],\n [10, 10, 0, -6, 15, -12, 7, -17, -3, 19, 4],\n [24, 16, 2, 5, 0, 10, 21, 10, -15, -14, 19],\n [-24, 14, -22, 6, 15, 8, -21, -21, -22, 25, 15],\n [-14, 9, 11, 8, 19, 2, -19, 14, -15, 18, 6],\n [24, 24, 6, 5, 22, -6, -20, 24, 23, -8, -5],\n [-23, 15, 2, 2, 6, 13, -2, -19, -7, -25, 7],\n [7, -15, -3, 24, 19, 2, 21, -9, -16, -18, -17],\n [-7, 24, -18, -21, -12, 19, 7, 17, 18, 12, -14]]\nB =\n[[-23, 14, 3, -4, 8, -20, 9, 13, -10, 5, 23],\n [18, -11, 20, -25, 18, -6, -3, -6, 6, 20, 22],\n [-1, 21, -18, 7, 19, 4, -23, -2, -14, 5, -19],\n [14, -9, 24, -16, -11, -5, -5, 3, 16, 15, -25],\n [-5, -21, -11, 20, 0, -15, 23, -5, 20, -20, -22],\n [19, -5, -9, 5, 18, -3, 6, 18, 10, 8, -20],\n [12, -4, 7, -15, -3, 18, 10, 2, 22, -7, 17],\n [17, -13, -13, -18, 17, 22, -13, 9, 1, -15, -5],\n [-18, 16, 0, 4, -4, 24, 23, 13, 24, -16, 0],\n [1, -4, -13, 13, -19, 17, 16, -14, -13, -14, -14],\n [12, -23, -18, 23, 5, -13, -18, 11, -2, 2, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2635", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -8, -22, 17, 14, 7, 19, 1, 10, -22, 10],\n [-13, 25, 22, -12, 16, 11, 21, -20, 25, -12, 17],\n [-23, -1, 8, -20, 14, -25, 20, 22, 23, -18, -9],\n [-13, -7, 15, 9, 24, 7, 19, 19, 18, 7, 16],\n [25, 13, 20, 12, 12, -17, 22, 11, 21, -25, 10],\n [16, 12, -24, -16, 25, -3, -17, -15, 10, 16, 12],\n [9, -13, -7, 9, 4, -8, -14, -14, -5, -14, 2],\n [3, 13, 15, 18, 25, -22, 5, -2, 16, 25, 23],\n [-8, 16, 0, 18, -6, -18, 25, 7, -22, 12, -4],\n [10, 22, 5, -18, -17, 21, -8, 9, -2, -9, -25],\n [13, 16, -11, -13, -3, 3, 5, 11, 2, 6, -19]]\nB =\n[[-12, -12, 6, -17, -20, 25, -11, 4, 4, -10],\n [-3, 5, -14, -5, -23, -23, 12, -4, -5, 25],\n [18, -10, -8, -22, -6, 19, -13, 5, -24, 4],\n [5, 2, -17, -15, 9, 23, 18, 11, 20, 25],\n [-9, 0, -22, 7, -9, 16, -18, 0, 17, -6],\n [16, 25, 12, 17, 22, 16, 7, 14, -9, 25],\n [-17, -6, -18, 15, 22, 20, -20, -17, -15, 21],\n [21, -21, -18, 9, -1, 10, 13, 23, 18, -20],\n [-2, -5, 10, -8, 22, -25, 3, -9, -21, 24],\n [-20, 19, -18, -1, -7, 22, 24, 13, -17, 2],\n [5, -25, 15, -16, 24, -4, -25, -13, -12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16777", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[13, 2, 3, 14, 7, -24, 17, 7, -2, -14, 14],\n [2, 9, -16, 21, 18, 8, -21, 15, -8, -20, -15],\n [20, -25, -3, -22, -19, 15, 23, -9, -15, 1, -14],\n [21, 8, -18, -3, 0, 8, 6, -20, -25, 24, -22],\n [-1, -18, 14, 20, -6, -12, 7, -23, -11, 1, -7],\n [-25, 9, 7, 25, -9, -13, 22, -14, 13, 0, 1],\n [-2, -9, -15, -4, -18, 16, 22, 6, 3, 16, 6],\n [14, -21, 23, -13, -1, 16, -16, 0, 0, -5, -3],\n [18, -14, 13, 17, -1, -14, 10, 6, -8, 16, -6],\n [-24, 7, 20, -9, 10, 4, -17, 5, 13, -5, -4]]\nB =\n[[-9, -23, 6, 7, -16, -21, -22, 25, 12, 6, 12],\n [15, -6, -17, -11, -18, 8, 4, -16, -12, 8, -4],\n [-13, 25, 3, 3, -19, 18, -20, 9, 11, -22, -12],\n [-20, -9, 23, -2, -13, -14, 3, -2, 8, -12, 1],\n [-21, 14, 21, -17, -10, -13, -11, 10, -1, -10, 18],\n [18, 5, 21, 11, 7, -6, 0, 9, 14, -19, 19],\n [16, 5, -9, 17, -18, -3, 21, 18, -8, 16, -14],\n [4, 10, -11, -8, -1, -13, -2, -9, -25, 11, 23],\n [1, -6, -8, -17, -16, -1, 23, -25, 10, -8, 21],\n [-11, 7, -4, -2, -25, -15, 17, 0, 0, -20, 7],\n [-12, -2, 12, 23, 15, -9, -12, -7, -18, -3, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1332", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-24, -23, -13, -21, -8, -25, 11, -5, 18, -7, 12],\n [8, -24, -6, 5, -13, -12, 12, -14, -13, -2, 14],\n [5, -12, 24, 4, 1, 10, -20, -20, -11, -2, -13],\n [-19, 19, -5, 12, 12, -12, -23, 17, 19, 9, -14],\n [-5, -6, 1, -21, 19, -15, 23, 16, 18, -20, -21],\n [-4, -25, -6, -2, -6, 21, 22, 3, 16, -2, -18],\n [8, -4, 13, 7, 4, -20, -13, 18, -7, 0, -9],\n [11, 1, -2, 21, -12, -23, -21, -12, -18, 17, -1],\n [-11, 19, 11, 19, -23, 19, -15, -17, -22, 23, -11],\n [1, 5, 24, -10, 6, 8, -20, 18, -21, -2, 23]]\nB =\n[[-7, 4, -14, -21, 2, 13, 8, -14, -3, -21],\n [14, 11, -10, -17, 7, 11, 7, 23, -25, 21],\n [11, -17, -8, 12, -5, 18, -12, 13, 13, 25],\n [-20, -23, 22, 22, -8, 11, -6, 3, 10, -10],\n [-22, 19, -12, -9, 9, 9, 23, 19, 6, -16],\n [3, -14, -17, 0, -5, -25, 10, -7, -20, 21],\n [-8, 11, -18, -15, -21, -5, 14, 17, -5, -6],\n [16, -17, -24, 23, -22, 0, -14, -7, -7, -7],\n [3, 13, 19, 8, -18, -20, 6, 2, -15, 2],\n [6, 15, -18, -6, -2, 1, 21, -15, 21, -3],\n [-4, -21, 22, 8, 5, 21, 11, 21, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51896", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[17, 12, 12, 6, -21, -1, 7, -19, -10, 23, 3],\n [-11, -6, -4, -16, -18, 6, 2, -17, 5, -3, -7],\n [6, -16, -6, 9, 5, -15, 17, 14, -16, -17, 16],\n [-16, 24, 11, 11, -19, -6, -6, -18, -9, 12, -1],\n [-13, 19, -13, 22, -24, 11, 16, 16, -15, -6, -17],\n [19, 19, 3, 8, -21, 5, 0, 11, 18, -6, -18],\n [-20, -8, -18, -1, -24, 2, 16, -1, -6, -20, 11],\n [-10, 9, 10, -25, -12, -12, -2, -7, 12, 18, -8],\n [-17, -13, 25, 19, 25, -7, -16, 12, -23, 22, 15],\n [-9, -3, 1, -17, -21, -7, 3, -11, 16, 10, -14],\n [-12, -11, 25, 5, -21, 18, -23, 21, 4, 21, -14]]\nB =\n[[-11, 12, 2, 23, -3, 21, -11, -15, 4, -14, -7],\n [6, -25, -10, -15, 5, 7, 10, 4, 12, -22, -1],\n [8, -9, 7, 4, -13, -14, 6, -3, 3, 8, -7],\n [-14, -22, -1, 0, -8, 4, 8, 7, 5, 5, -13],\n [-2, -21, 25, -25, 8, 20, -17, -18, 17, 10, 3],\n [9, -21, 20, -16, 12, -16, -15, -18, -22, -8, -6],\n [20, -23, 18, -11, -18, 20, -20, 20, 10, -6, 6],\n [-20, -10, 23, -24, -8, 19, 0, -6, -10, -5, 19],\n [-12, -8, -18, -21, -2, 15, 21, 3, -17, 16, -8],\n [20, -8, 22, 2, 11, -16, -6, 12, 15, -3, 22],\n [17, -6, -3, 24, -21, 1, -17, 17, 15, 10, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64133", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[11, -23, 10, 22, 19, 9, 10, 3, 7, 0],\n [-18, -17, -4, -21, 18, 15, 10, 6, 4, 23],\n [18, 19, 17, -9, 4, 21, -17, -22, -14, 9],\n [-6, -9, -4, -19, 13, 18, 16, -18, -17, 20],\n [-20, -7, -4, 21, -6, -6, 1, 1, -19, -2],\n [-18, -23, -15, 10, -24, -25, -19, -2, -14, -18],\n [-13, -20, 13, -2, -2, 12, 18, -19, -16, 4],\n [13, -2, 1, 4, -11, -24, -18, -9, 22, -13],\n [-8, -5, 10, -14, 17, -24, -6, -3, -5, 5],\n [-10, -13, -22, -24, 24, -25, 0, 4, 12, -6],\n [-1, -7, 1, -16, 15, -9, 21, -24, -9, -19]]\nB =\n[[-10, 23, 1, -25, -4, -4, 1, -10, 10, -10],\n [-2, 9, 7, -9, -21, 9, -7, 17, 21, 8],\n [6, -1, -4, 13, 24, 1, 7, -18, 4, 22],\n [0, -11, 10, 19, -14, 15, 19, 17, -14, -22],\n [-23, 11, 12, 6, 0, -22, -25, -21, -24, 20],\n [-15, -17, -18, 13, -11, -17, 16, 24, 4, 3],\n [25, -1, -4, 8, -4, 20, 4, -16, -21, -21],\n [-24, 4, -4, -13, 13, -1, 1, 21, 1, -5],\n [5, -11, 12, 13, 10, 10, -25, -15, -21, 8],\n [11, -21, -6, 19, 18, 16, -13, -17, -21, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59331", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 4, 23, 2, 11, 2, 17, -20, 15, 18],\n [3, -22, -8, -11, -1, -22, -12, 24, -9, 8],\n [-7, 3, -4, -12, 10, -24, 19, -19, 2, -18],\n [3, -16, -5, 9, -22, -5, 12, -1, -6, -19],\n [-19, 6, 6, -4, 23, -1, -20, 25, 1, -8],\n [-14, 2, -7, 17, -9, 9, -11, -21, 10, 7],\n [-5, 9, 16, 1, 19, 4, 13, 20, 4, 19],\n [-5, 0, -2, -4, 11, 17, 0, -4, 20, 7],\n [-2, -21, -2, 9, -4, 7, -9, -14, 4, 0],\n [-13, -20, -23, -15, 17, -16, -15, -10, -6, 16]]\nB =\n[[18, -7, -17, 10, -11, -3, -5, 13, -21, 25],\n [-4, 5, -11, 2, 12, -11, 23, -7, 9, -8],\n [-16, -11, 24, -2, 21, 25, -6, 11, -15, -17],\n [-21, -15, 13, 1, -24, -6, -5, 25, 24, 4],\n [22, -25, 9, 0, 6, -17, 23, 14, -5, -10],\n [-14, 10, 11, 1, -19, 4, -2, 24, 4, -6],\n [20, 14, 19, 2, -22, -14, -23, 11, -22, -11],\n [2, 11, -17, -12, 6, 22, -23, 21, -8, 24],\n [-12, -1, 13, 0, -20, 0, 22, 25, 15, -25],\n [24, -5, -12, 20, -18, -1, 23, -8, -11, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "921", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -10, -19, 3, 5, 3, -9, -21, -8, -12],\n [5, 24, -8, 21, -1, -15, 0, -21, -10, -18],\n [-13, 6, 1, 23, 0, -17, 21, -19, 24, 20],\n [-18, -24, -8, 10, -2, 8, 16, 12, -15, -16],\n [3, 23, 14, -20, 22, -16, 4, 2, 3, 25],\n [-1, 10, 1, 8, 8, 6, 18, -22, 22, 8],\n [-10, 21, 20, -15, -11, 12, 4, 1, -10, -25],\n [-1, 2, 17, -12, 8, 22, -22, -12, -10, -11],\n [8, -13, -9, 2, -16, 21, -9, -18, -24, -25],\n [-21, 9, -4, 17, -10, -17, 10, -17, -12, -16],\n [-4, -10, 15, -23, 2, 4, 3, -25, 2, -4]]\nB =\n[[6, -15, 0, 5, -6, -6, 7, -21, 15, -23],\n [18, 24, 8, 5, 16, -19, 4, -8, -10, -13],\n [7, -19, 4, -15, -20, -5, 6, -21, 16, 3],\n [9, 21, -14, 11, 20, 18, -4, -15, -3, 19],\n [-16, 16, -2, 20, -10, -14, 24, 6, -2, -22],\n [16, 7, -8, 21, -9, -5, -25, 20, 18, -1],\n [5, 17, -6, 0, -7, 4, -1, 10, 23, -8],\n [-22, 1, 7, -20, -19, -25, 12, 9, -3, -10],\n [8, 8, 5, 17, 5, -15, -18, 25, -2, -3],\n [6, -11, 2, -6, -12, 0, 24, 11, -24, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13656", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 10) of the product matrix AB given:\nA =\n[[8, 8, -17, 18, 24, -23, 4, -7, 5, -10],\n [17, -2, -11, -4, 6, -15, 3, 16, -2, -7],\n [-21, 20, 15, 12, -25, 4, -14, 20, -22, -11],\n [-9, -14, -25, -13, 4, -16, 10, -20, -17, 24],\n [-24, -20, -15, 0, 2, -13, 12, -14, -7, -8],\n [-7, 2, -14, 6, -13, -3, 10, 4, -4, 12],\n [19, 16, -23, -17, -11, 4, 0, 4, -21, 5],\n [-4, 15, -11, 19, 9, -7, 8, -8, -12, -4],\n [-2, -13, -18, 16, -24, 16, 1, 8, 3, 0],\n [-3, 10, -17, -5, 16, 10, -23, -19, -3, 6]]\nB =\n[[-3, -10, -21, -13, -16, -24, -10, -25, -20, -7, 7],\n [2, -21, -14, 4, -9, -7, 14, 16, -1, 9, -17],\n [6, 13, 12, -11, 19, 20, 11, 0, 5, 4, -24],\n [-19, 4, 7, 22, 13, 21, 12, -6, -7, -17, -4],\n [6, 4, -20, -9, 11, -11, -19, -12, -6, 4, -8],\n [-4, -1, -2, 5, 23, -8, 8, -8, -12, -22, -19],\n [-19, -25, 14, -2, 6, -16, -17, 13, -23, 18, 9],\n [-21, -19, -14, -3, -1, -9, -12, 9, -25, -4, 2],\n [-3, -8, 20, 19, 18, 11, -23, -12, 13, -19, -9],\n [-20, 21, -7, -11, 13, -21, -11, 19, 0, 13, 19]]\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[[-13, 5, -13, -3, 14, 6, 11, -22, -9, -6],\n [20, -15, 16, 7, 13, -20, 13, 21, 12, -8],\n [-24, 15, 12, -9, -2, 4, 17, -2, -22, -19],\n [-11, 4, 3, 23, 18, 19, -13, 14, 13, 3],\n [0, 10, 9, 23, 22, -7, -24, -12, -10, 23],\n [10, 14, 15, 5, 22, 22, 23, 9, -4, -5],\n [2, -9, 24, -8, 6, -3, -20, 3, -20, 7],\n [22, 6, -9, -22, 22, 5, -4, 1, -5, -6],\n [8, -3, 18, -10, -20, -10, -19, -12, -23, 7],\n [23, 10, 13, 3, 13, -22, 13, 14, 15, -4],\n [-11, -22, -8, 18, -3, 12, -22, -22, -8, -25]]\nB =\n[[6, -5, 12, 0, 15, 23, -5, 17, 3, 15],\n [17, 6, -22, -13, 25, 9, 1, -25, 23, 23],\n [13, -12, 11, 4, -12, -15, 5, 2, 1, -23],\n [-20, 13, -7, 15, 8, 2, -14, 13, -16, 21],\n [-1, -3, 0, -7, 12, -6, 19, 18, -8, 22],\n [-15, -1, 17, -25, 6, 7, -19, 5, 0, -19],\n [10, 20, -2, -21, -4, 18, 10, -23, 24, 11],\n [12, 20, -20, -1, -3, -14, 2, 18, 14, 6],\n [-1, 8, 4, 11, -8, 9, 22, 11, 15, -20],\n [-7, -4, 6, 1, -10, 0, 13, -22, -10, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59227", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 2, -9, 19, -24, -24, -2, 1, -22, 22, 10],\n [-6, -14, 2, 3, 20, 7, 23, -8, -14, -16, -2],\n [21, -9, 17, 6, -1, -19, -6, 3, -7, -15, 7],\n [24, -11, 5, -13, 22, -7, -20, 2, -4, 2, -10],\n [24, 7, 24, 15, 19, 22, 25, 0, -3, -25, 3],\n [-18, 16, 13, -23, -13, -6, 17, -21, 19, -14, 22],\n [-9, -12, 0, 4, 16, 19, 6, 4, -14, 10, -7],\n [18, -1, 7, 16, -5, -24, 11, -5, 0, 6, 1],\n [-9, -22, 13, -11, 7, -12, 0, 21, -24, -6, 0],\n [-24, 22, -24, 22, -9, -8, 25, 22, -22, -9, 7]]\nB =\n[[-3, -13, -19, 15, 20, -25, 14, 16, 5, 10, -1],\n [19, 24, 15, 14, 4, 12, -5, -7, -10, 7, 21],\n [-20, 16, 11, -18, -25, -13, 0, -10, 23, 13, 21],\n [20, 2, 23, -3, -19, -2, 20, -18, 19, -25, -22],\n [17, 15, -7, -4, 10, -25, -7, 25, 3, -7, 17],\n [-20, -1, 13, -3, -25, -11, -1, -22, 19, 18, -25],\n [14, -5, 17, -16, -24, -9, -13, 1, 15, 22, 2],\n [23, -16, 23, -16, 20, 21, -17, 8, 20, 13, -22],\n [19, -22, -22, 15, -15, -25, 19, -5, -1, -17, -1],\n [-8, -19, 20, 0, 23, -8, -25, -17, -16, 22, -15],\n [6, -5, 10, 6, -7, -18, 9, -4, -22, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9924", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-18, -14, -21, 4, 9, 11, -22, 17, -5, -10],\n [-8, 5, 12, 6, 22, 7, -7, -6, 22, -16],\n [0, 20, -8, 19, 19, -11, 10, -8, 5, -11],\n [12, 3, 16, -11, -25, 11, 15, -3, 20, -15],\n [12, -10, 4, 3, 15, -23, 14, -9, 0, -17],\n [-9, 11, 5, 5, -15, 12, -4, 20, -23, 23],\n [2, 6, -22, 14, 12, -15, -25, 21, -10, 8],\n [19, 6, 18, 20, 7, -15, 10, -13, -6, -1],\n [-20, 11, 0, -22, 19, 0, -8, -13, -18, 25],\n [21, 7, 17, -10, 16, 13, 5, 14, -3, -10]]\nB =\n[[-16, 10, 5, 18, 6, -5, -10, 3, 24, 22],\n [19, -10, -11, -18, -11, -5, -5, -19, -7, -4],\n [20, 12, -13, 0, 18, -4, -19, 9, -23, 9],\n [21, -10, 19, -10, -24, 12, -9, 12, -2, -4],\n [24, -3, 18, -7, 18, -4, -9, -24, -12, 2],\n [-13, 12, -9, -17, 14, -12, -24, 16, -5, 9],\n [4, -9, 13, -1, 18, 13, 9, -20, -23, 10],\n [22, 21, -25, 8, -25, 0, -8, 10, -20, -15],\n [18, 14, 4, -12, -16, 5, 10, -11, 4, 22],\n [-12, 21, -3, -9, 1, 18, -13, -12, 0, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1517", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 2) when matrix A is multiplied by matrix B?\nA =\n[[-15, 12, -25, -2, -6, -18, -18, 4, -8, -13, 20],\n [21, 10, -7, -13, 15, 22, 0, -17, 8, 5, 16],\n [-19, -17, 14, 0, 25, 7, 7, 14, -22, 2, -22],\n [21, 8, 23, 14, 22, -20, 7, -21, -7, -8, -23],\n [8, -24, -25, 9, 25, -22, 9, -18, 18, 3, 10],\n [-12, 16, 23, 4, 24, -19, -13, -4, 19, -24, -18],\n [-5, -6, -15, 8, 18, -21, 22, 4, 7, -14, -21],\n [-25, 9, -1, -22, -17, 23, 18, 25, -23, 4, -6],\n [-16, -6, 14, -23, -15, -11, 2, 18, 9, -19, 7],\n [16, 23, 12, -7, 18, 3, -24, 18, -7, -17, -20]]\nB =\n[[-9, -24, 13, -20, -12, 23, 0, -8, -20, -14, 12],\n [-4, -12, -13, -17, 24, 16, 6, -16, 1, -12, -17],\n [-17, 0, 6, 15, 9, 0, 15, 19, 16, -23, 4],\n [3, -6, -22, -12, 19, 13, -5, -19, -20, 14, -20],\n [-1, -22, 11, -1, -8, 8, -1, -4, 20, -12, 11],\n [-15, 1, 0, 9, -10, 14, -6, -11, -12, 20, -18],\n [-2, 7, -10, 1, 2, 18, -12, -17, 20, -13, 25],\n [-4, 4, 6, -10, 25, -1, 23, -3, 11, 2, -23],\n [-3, 7, 13, -1, -1, 13, -5, 5, 23, 4, 13],\n [19, 19, 16, 8, 12, -19, 1, -13, 3, -3, -18],\n [-5, -13, 0, 17, -16, 3, 1, -22, 16, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-18, 11, -6, 21, -16, 25, 24, 18, 8, 13, -15],\n [21, -14, -16, -13, 8, 4, -11, -18, 12, 10, 14],\n [-4, -21, 6, -6, -3, 14, 20, 23, -24, -7, 0],\n [10, -12, -19, -10, -16, 17, -4, 0, -21, -14, -2],\n [-2, -11, -2, -2, 16, 0, 8, -8, 17, 11, -20],\n [19, -1, -9, -10, 3, -25, 19, 16, 19, -6, 0],\n [-5, 24, 24, 1, 10, 9, -10, 3, -19, -19, 8],\n [22, -21, -18, -18, 17, 3, -16, -25, 12, 2, -19],\n [-9, 22, 20, -2, 9, -17, 16, -23, 18, -22, 6],\n [18, -13, -2, -19, -7, 1, 24, 1, -8, 4, 2],\n [3, -17, 13, 13, -5, 19, 12, -19, 19, -1, 0]]\nB =\n[[-20, 23, -6, -8, -6, 14, -8, 21, -25, 7],\n [13, 22, -3, -12, 2, -5, 18, 11, -19, -14],\n [25, 11, 13, 2, -19, 19, -9, 11, -12, 17],\n [25, -22, -4, 23, -9, 9, 20, 6, 12, 5],\n [-1, -16, 23, -24, 1, -14, -10, -10, -23, -1],\n [-8, 13, 16, 14, 6, 24, 23, -23, -18, -21],\n [-6, 18, -1, -20, 2, -3, -2, -16, -16, 7],\n [-17, -8, -23, 7, -16, 1, 9, -8, -19, -19],\n [-4, -16, 1, 19, -22, -14, -23, 22, 17, -23],\n [-1, 0, 14, -19, 20, 8, -16, -23, 2, -15],\n [25, 6, -18, -6, -21, 15, -13, -15, 8, 18]]\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[[-23, -11, 7, 17, -16, -23, 20, 22, 15, -12],\n [7, 7, 10, -3, -25, 1, 25, 6, -5, 18],\n [-6, 1, 10, 15, 6, 13, 3, 20, -3, 9],\n [-11, 17, -16, -11, -1, -9, 25, 5, -15, -6],\n [5, -10, 10, 13, -15, -6, 0, 23, 25, 0],\n [16, 21, -20, 19, 9, -18, -19, 11, 24, -10],\n [-17, -15, -5, 25, 20, -19, -14, 25, 14, -5],\n [-21, -20, 17, 0, 3, -23, -15, -3, -1, -14],\n [-25, -22, -25, -20, 8, 1, 19, -10, -15, -12],\n [12, 22, 23, -16, -13, 19, 8, 7, 7, 13]]\nB =\n[[-13, -9, -17, -13, -10, 11, 4, 13, 7, 14],\n [-20, -14, -24, 7, -11, -9, 9, 5, 4, 12],\n [-10, 16, 19, 14, -9, -19, -21, 14, 1, -25],\n [-24, -22, -25, 3, -5, 16, 9, 8, 13, -24],\n [-1, -20, -18, 9, -7, -17, 7, -18, 12, 6],\n [-3, 8, -3, 20, 6, -25, -19, 17, 22, -2],\n [-24, -8, -7, 16, 10, 2, 9, 6, -13, -20],\n [3, -16, 14, -16, 8, -6, 21, 7, -15, -2],\n [7, -4, 22, -14, 4, 6, 18, -7, 19, 14],\n [-24, 25, -12, 7, 6, 15, -7, -12, -22, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56986", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-16, 3, -11, 5, 7, 3, -15, 22, 19, 14, -17],\n [21, 3, 11, -5, 5, -4, -8, -24, -4, 11, -6],\n [22, 22, -22, 0, -6, -4, 17, -6, 3, 22, 5],\n [-3, 18, 12, -10, -7, -15, -14, 10, -13, -24, 25],\n [-15, -25, 15, -16, -23, -18, -10, 10, 17, 14, 13],\n [-6, 21, -18, -16, 25, 11, 6, 1, 5, -23, 13],\n [-20, -9, -16, -5, 3, 3, -6, -11, -24, 7, -14],\n [-13, 18, 18, 13, 13, 12, 19, -5, 15, -10, 8],\n [1, 17, -23, -17, 18, 8, -7, 12, 0, -3, -8],\n [19, 20, 14, 15, 19, 23, 12, -16, 17, -16, -5],\n [12, 12, 21, -19, -14, 15, 7, -1, 2, -2, 22]]\nB =\n[[5, -8, -3, -19, 24, -18, -11, 12, 2, 1],\n [-5, 18, 1, 21, 21, 16, 15, -12, -5, -12],\n [23, 17, -20, -14, 2, 23, 3, 11, 12, -23],\n [7, 24, 20, -14, -14, -15, 2, 25, 9, 8],\n [-4, 13, -3, -14, -7, 5, -13, -7, 10, -4],\n [18, 4, -22, -13, -6, 13, -20, 18, -14, -10],\n [19, -9, -18, 7, 18, 13, -14, 0, -7, -13],\n [-16, 8, 5, 1, -23, 18, -21, -21, 11, -19],\n [14, 25, 22, 16, -13, 8, 10, 8, -23, -16],\n [17, 9, 11, -20, -5, 19, -21, -23, -6, 4],\n [-14, 9, 6, -7, -11, -16, 0, -20, 22, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3025", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 2) of the result:\nA =\n[[0, -24, 23, 22, 6, -23, -7, 10, -6, 4, 11],\n [19, -6, 8, 18, -9, 16, -3, 15, -17, 1, -9],\n [15, 20, -9, 23, -24, -11, -15, 11, 15, -17, -12],\n [-18, 17, -14, -19, -23, 0, -23, 20, -22, 6, 20],\n [-12, -23, -13, -18, 12, -24, 12, 20, 5, 13, 1],\n [-9, 9, 20, -2, -25, 3, 0, 18, 9, 25, 18],\n [-2, 20, 7, 0, 11, 13, 25, 0, 12, 24, 12],\n [-15, 3, 3, -23, -17, 9, -20, -17, -18, 1, 8],\n [25, -2, 22, -21, -16, -6, -4, -14, 18, 3, 5],\n [-20, 20, -19, 7, 20, -11, -13, -2, 4, 7, -6]]\nB =\n[[-7, -7, 12, -2, -21, -4, -4, 2, -9, 5, 21],\n [-19, -9, -14, -19, 3, 19, -18, -22, 14, -10, -10],\n [-4, -15, 15, -15, -21, 16, 12, 22, -14, 14, -1],\n [19, -13, 22, 0, -15, 14, -3, -13, 7, 2, 25],\n [-22, 2, 8, 25, 25, -16, 23, -18, -17, -8, -24],\n [-8, 14, -24, -4, -10, 11, 6, -16, 15, 8, 22],\n [-10, 23, 8, 11, 14, 8, 18, -13, 22, 11, -14],\n [-11, 4, 5, 3, 8, 6, 18, -3, -16, -18, -5],\n [-15, -14, 23, 13, 21, -7, 8, 12, 8, 20, 0],\n [14, -10, -7, 24, 3, 19, 12, 10, -5, -16, 21],\n [-3, 18, 18, -19, 12, -21, -7, 20, 7, -2, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-501", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-3, -4, 10, 20, -5, -8, 12, 1, 11, 23],\n [-1, 13, 4, 17, -12, 8, 6, 5, 23, -24],\n [21, 13, 9, -3, -20, -5, 0, 4, 15, 16],\n [4, -18, 13, 7, -16, -8, 22, 10, 15, 24],\n [-15, 18, -18, -25, -18, -21, -25, -23, 1, 19],\n [22, -3, 18, 13, 14, -15, 19, -15, 10, 12],\n [5, -2, -7, 6, 14, 12, -9, 24, 9, -14],\n [-11, 13, -13, 4, 16, -7, -17, 2, 18, 17],\n [-1, 14, 15, -22, 11, -19, 15, -22, -3, 18],\n [18, -20, 19, -17, -17, -5, -23, -13, 12, -8]]\nB =\n[[20, 5, 3, -24, 5, 12, -19, 14, -16, -13, -25],\n [11, -1, 4, -24, 10, -2, -14, -21, -11, 16, 23],\n [20, -19, -24, -23, -22, 22, -10, 1, -4, -23, 23],\n [-9, -4, -19, 4, -18, -7, -19, -25, -10, 24, 14],\n [5, 13, 1, -16, 8, 21, -12, -24, 13, -4, 0],\n [18, -21, 12, -10, -14, 15, 18, 16, -9, -1, -2],\n [-15, -8, 10, -23, -7, -20, -3, 14, -19, 21, 18],\n [21, -17, -24, 21, 24, 19, 22, 21, -15, -23, 16],\n [23, 4, -18, 11, -5, -18, 21, -15, 15, 8, 13],\n [-10, -19, -22, 6, 11, 20, -4, -19, -13, -8, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-684", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -13, 8, 3, 21, -21, 5, -15, 12, 25],\n [21, -22, -19, -3, 5, -9, -16, -4, 4, 3],\n [-9, 17, -5, -4, 22, 13, 14, 22, 22, -4],\n [1, -3, -22, 0, 13, -9, -23, -9, 17, 14],\n [-7, 13, -8, 2, -11, 25, 0, 9, -10, -11],\n [-21, 20, -2, -24, 10, 19, 22, 5, 4, -14],\n [11, -5, -14, 14, 11, 9, -4, 19, 10, -18],\n [1, 1, 10, -19, -23, -22, -2, -18, 19, -13],\n [-17, -6, -6, -21, 20, -21, 9, -25, 16, -11],\n [-9, -14, 20, 10, 17, -11, -12, 1, 24, -4]]\nB =\n[[-17, 21, -5, -23, 5, -13, -24, 21, -12, -19, 3],\n [-22, -22, -2, 16, -5, 25, 19, 2, 12, -18, 16],\n [-9, -17, 20, -6, -21, 9, 15, 3, -14, 6, 5],\n [5, -25, 17, -21, 25, 10, -14, -10, -10, -5, 7],\n [0, -23, -3, -1, -6, 21, 23, 10, 9, 17, 7],\n [-21, -22, -18, -15, 17, 24, 1, -16, 19, -6, 6],\n [22, 1, 23, -8, 0, 9, 2, -25, 8, 0, -20],\n [24, 23, 20, -1, -9, 0, -5, 6, -1, 6, 15],\n [-7, -24, 9, -10, -10, 7, 25, 24, -2, 5, 16],\n [-3, -9, 7, 11, 10, -7, -5, 13, 14, -7, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10164", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 10) of the product of the following matrices:\nA =\n[[0, 15, 25, -8, -12, -8, 11, 2, 7, -20, -19],\n [-21, 1, -18, 12, 7, -14, 11, 11, -11, -9, 11],\n [25, 16, 3, -23, -15, 0, 14, 19, -20, 9, -2],\n [25, 13, 8, -2, -7, -13, 17, -17, -7, 25, 6],\n [-5, 6, 20, -14, 3, 7, -25, 23, -22, -13, -3],\n [2, 17, 24, -14, -7, 7, -8, 8, 4, 17, 21],\n [21, -20, -22, -14, -3, 2, -15, 2, 14, 8, 22],\n [8, -5, 10, 2, 8, 15, 3, 0, -13, 8, -7],\n [-18, 3, 17, 14, -10, 2, 4, -3, 3, -6, -9],\n [0, 21, 13, 7, -12, 5, -10, -5, 9, 24, -7]]\nB =\n[[-20, -3, 0, -17, -13, 18, -11, 6, 13, 18],\n [-9, 19, 3, 23, 14, -8, 8, 23, -1, -14],\n [19, -11, 17, -2, -17, 14, -6, -1, 21, -2],\n [23, 0, -12, -21, 22, 3, -18, -9, 17, -4],\n [-8, 1, -24, -25, 15, -18, -5, -2, -24, 18],\n [12, 2, 8, -14, 24, -21, 19, 10, -18, 4],\n [-16, -5, 20, 8, 8, -22, -15, -4, 15, 24],\n [-3, 23, 8, 4, -1, -2, -1, 4, 13, 18],\n [-10, -16, 5, -15, -17, 10, 22, -7, -21, -14],\n [-16, -12, -6, -6, 18, 10, -1, 15, 20, -21],\n [15, 1, -24, -14, 2, 18, -13, -5, 17, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "847", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-14, 15, 18, -15, -7, -18, 1, -19, -5, 1, -12],\n [6, 3, -2, 2, -2, -24, 5, -14, -25, -5, 3],\n [4, 16, -25, -4, 16, -18, -13, -12, 16, -25, 6],\n [12, -14, 21, 19, 21, -10, -2, 18, -6, 17, 18],\n [6, 1, 8, -4, -23, -9, -12, 1, 13, -6, 20],\n [5, 15, 5, 3, 16, 17, 6, 4, 17, 1, -7],\n [2, 19, -16, -10, 5, -16, -16, 2, -14, 7, 2],\n [-8, 2, 2, 17, 13, -12, -18, 4, 10, -23, -16],\n [-17, 21, 14, -13, -4, -2, -19, -13, -20, -16, 25],\n [-15, 3, -10, -6, -5, 3, -12, 15, -10, -17, -20],\n [12, 3, -8, -2, 25, -9, 10, -5, -7, -3, 1]]\nB =\n[[-15, 0, -15, 17, -4, -7, -18, -3, 22, -3, 14],\n [-17, -2, -14, -14, 6, -24, -20, -22, -13, 10, 15],\n [13, 12, -8, -11, 22, 7, 16, 4, 10, -1, -22],\n [-8, 19, 7, -6, 16, -5, -25, 8, -17, -25, 21],\n [1, -11, -2, -1, 8, 18, 24, -16, 4, 19, 15],\n [-1, -23, -4, 14, 20, -2, 1, 0, -10, 12, 15],\n [-22, -3, -7, -11, 5, -2, -15, -16, -18, -23, -7],\n [-22, 3, 19, 15, -5, 19, -17, 25, 22, -8, -7],\n [-9, 18, 17, -2, 23, -20, 5, 1, 21, 8, 20],\n [1, 1, 9, -14, 3, -20, 11, -19, -20, -7, -12],\n [24, -5, -12, 14, -12, 25, 6, 0, -23, -11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 22, 21, -12, 21, 13, 11, 15, 22, 2],\n [-24, -4, -19, 18, 6, -10, 10, -24, -9, 23],\n [-23, 22, -3, 11, 13, 2, 19, 15, -18, 7],\n [-22, -19, -15, 14, -18, -6, 17, 13, 2, -15],\n [24, -4, 10, -20, -19, -16, 14, -22, -17, 12],\n [23, -7, 20, 7, 12, -4, 13, -25, 23, -5],\n [23, -19, 20, -19, -4, -13, -3, -4, 0, -8],\n [-19, -24, -7, -12, -1, 7, 22, 13, 22, -6],\n [18, -21, 23, -5, -13, -12, -10, 19, 24, 24],\n [15, 2, -25, -24, -18, -13, 12, -7, 25, -24],\n [5, -16, -21, -3, 4, 6, -25, 19, 18, 16]]\nB =\n[[-23, 21, 4, 11, 2, 25, 25, -5, -13, 14],\n [0, 14, 4, -2, 12, 15, 20, -21, -10, 20],\n [16, 23, -10, 23, 22, -16, -8, 12, -9, 15],\n [14, 5, 0, 0, 14, -14, -8, 8, 9, -15],\n [4, 19, 24, -15, 20, -22, 10, -16, 8, 5],\n [6, 24, 2, 17, 11, 6, 6, -9, 8, 9],\n [13, -5, 6, 8, 8, -18, -10, 9, -3, -4],\n [5, 3, 12, -7, 19, 10, 23, -17, 9, -25],\n [7, -9, 0, -13, -21, -7, 16, -17, -20, -5],\n [23, -4, 13, 22, 25, -21, -4, 24, -19, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71450", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 11) when matrix A is multiplied by matrix B?\nA =\n[[-1, -21, 6, -18, -17, 2, -6, -22, -23, 18, 15],\n [16, -15, 22, 3, 17, -4, -18, 20, 8, 5, -22],\n [-11, -8, -15, 1, -7, 24, -17, -1, -4, -3, 11],\n [-16, -9, -13, -22, 6, 2, 4, 20, 14, -5, -11],\n [-23, -9, -11, 7, -21, -18, -17, 0, -24, 11, 10],\n [-14, -7, 1, -2, -24, -10, -24, -5, -16, 16, -9],\n [-14, -19, -17, 20, 24, -16, -10, -25, -17, -13, 22],\n [-10, 8, 15, 4, -13, -18, -15, 23, 5, 17, -15],\n [22, -19, -25, -3, 6, -11, -8, 2, -12, -13, 8],\n [-6, -2, 2, -15, 25, 2, -4, 4, 12, -9, -4]]\nB =\n[[-25, -6, -21, 7, 19, -25, 18, -17, 6, 0, 19],\n [16, 22, -20, 4, 14, -3, 13, -1, -1, -13, -1],\n [-9, 18, 1, -15, -20, -11, 11, 6, 22, -2, -15],\n [16, 3, -18, 11, -16, -16, -25, 19, -3, -8, -3],\n [-21, 22, 12, 5, 16, 13, -6, 3, 22, 7, 13],\n [6, -1, 18, 1, -3, 21, -24, 24, -22, -1, 19],\n [-3, 15, 10, 15, -3, 7, 2, -18, 7, 3, 22],\n [-11, -11, 11, -7, 17, 25, -5, 9, 0, 2, -4],\n [10, -10, -14, 2, -19, 7, -2, -15, -11, -7, -11],\n [-17, -13, 24, 3, 0, -3, -9, -21, -10, 13, 4],\n [-5, -21, 0, 17, 22, 4, -4, 19, -24, 18, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 7) of the product matrix AB given:\nA =\n[[16, 1, 0, 19, 18, -1, -7, 23, 1, 22, -9],\n [-20, -3, -8, 17, 18, 23, -24, 19, -7, 25, -22],\n [7, 8, 6, -8, 18, -17, 11, 22, 10, -23, -8],\n [14, -1, -24, 18, -25, -2, -2, 24, 16, 14, -22],\n [24, 9, 9, -14, 25, 23, -3, 23, -4, 0, -22],\n [-19, -3, 5, -19, -4, 13, 14, -7, 4, 0, 15],\n [-4, -17, 20, 3, 6, -8, 5, 6, -17, 4, 11],\n [6, -18, -2, -22, 20, -9, -5, 22, -17, -21, -21],\n [4, -20, 12, -18, 22, 20, 7, 22, -11, 11, -17],\n [-23, 5, 13, -19, -10, 2, 9, -11, -19, 9, 22],\n [5, 12, -18, 22, 12, -10, 8, -25, -7, -12, -7]]\nB =\n[[-3, -22, 8, -24, -14, -3, 17, -8, 6, 25],\n [-9, 5, 10, 0, -14, 9, -10, -22, 2, 12],\n [7, 11, -16, 5, -12, -21, -16, -1, 15, 19],\n [-9, 25, -6, 7, -17, 24, 5, -21, 20, 3],\n [25, 21, -22, 5, -22, -8, -8, 14, 8, 22],\n [-12, 0, -3, 7, -9, 16, 6, 22, 9, 25],\n [17, 4, -11, 24, 25, -19, -20, -17, -13, 14],\n [-8, 9, -25, -2, 24, 10, 24, -10, -8, -23],\n [20, 16, 11, -18, -8, 3, 11, 1, 18, 3],\n [-22, -14, -13, -12, -12, 25, -16, -4, -17, -2],\n [24, -9, -2, -21, 8, 16, -25, 1, 14, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-20, -21, -8, -19, 10, 7, 8, 6, 25, -23, -25],\n [-5, -13, -18, 18, 4, -18, 1, 13, -3, -18, -11],\n [-19, -14, 24, 10, 12, 17, 4, -16, -7, -8, 18],\n [23, -6, -24, 4, 25, 18, 17, 21, 17, -15, -4],\n [16, -7, -23, -22, 9, 21, 12, -17, -18, 8, 25],\n [21, 5, 14, -7, 11, 6, 18, 18, 2, 15, -8],\n [-1, -16, -21, -11, -1, -6, 25, -16, 23, 12, 15],\n [2, 23, 24, 20, -20, -15, -7, -10, 6, -24, 13],\n [0, -5, 12, -11, -13, -19, -23, -11, -6, -23, 1],\n [-11, -23, 2, 21, -25, -6, -15, -1, -22, -7, 2]]\nB =\n[[-16, -5, 10, -10, 7, 19, 25, 20, -13, 3],\n [-22, 16, 1, -18, 15, 20, -18, -1, 0, -25],\n [17, 22, 7, -7, -6, -8, 0, 13, -17, 1],\n [-20, -6, 12, -25, 12, -10, -22, -23, -4, -17],\n [-18, -19, -14, -25, -14, -10, -12, 4, 17, -7],\n [-7, -13, 18, -16, 21, 3, 2, -13, 19, -11],\n [-9, -3, 17, -16, 10, 23, -12, 6, 8, 5],\n [13, 6, -10, 0, -9, -4, 10, 9, -3, -1],\n [-21, -20, 0, 12, -20, -7, 17, -7, 20, 21],\n [5, 11, -3, -14, -13, -4, 24, -23, -14, 11],\n [5, -13, -3, -13, -20, 22, -23, -19, -16, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1850", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-22, 18, -20, -8, -19, 8, -3, -18, 24, -2],\n [2, 19, -23, -13, 13, 7, 24, -10, -15, 3],\n [-1, -9, 11, -20, 20, -12, -7, 11, 24, 17],\n [-14, -7, -5, 3, 2, -9, 23, -24, -20, -1],\n [-7, -20, -25, 20, 8, -5, -5, 18, 23, 1],\n [-3, 10, 10, 6, 13, 19, -9, -12, -4, -9],\n [3, 22, 22, 12, 0, 5, 8, 1, -9, -3],\n [8, -8, -5, -6, 6, -14, -22, -17, -15, 23],\n [4, 19, 0, 6, 2, 25, 14, 11, 16, 21],\n [25, 15, -10, 22, -18, -23, -23, -16, -14, -11],\n [21, 1, 25, 20, -15, -20, -14, -8, -1, 8]]\nB =\n[[0, -2, -10, 10, 10, -5, 4, 23, -6, 16, 24],\n [-7, -15, -12, 10, -10, -23, -4, 17, -21, -24, -14],\n [19, -24, 11, -7, -2, -21, 0, 2, 9, -7, 5],\n [-7, 17, 18, -7, -6, 16, -9, -14, 9, 0, -18],\n [14, -1, -1, 19, -4, -13, 16, -11, -3, 2, 22],\n [-13, 6, -15, 18, -12, 9, 21, 17, 9, 24, 14],\n [-3, 14, -13, -20, 3, 16, -11, -21, 7, 14, -24],\n [7, -1, 1, 22, -1, -21, 25, 17, 14, -22, -12],\n [-9, 15, 1, 10, 8, -16, 25, -4, 15, -4, 2],\n [22, -6, 23, -24, -3, 25, 8, 22, -10, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-25, 15, -11, -11, -1, 17, -21, -18, -4, 13, 12],\n [13, 25, 20, 17, 25, -12, -7, 0, 12, 7, 20],\n [-14, 3, -14, 3, 15, 15, 20, -6, 8, 20, 4],\n [3, 13, 21, 14, 25, -24, 0, -25, 2, 25, -18],\n [5, 13, 24, -7, -13, -10, -3, -15, -2, -16, 25],\n [-21, -14, 10, 0, 2, -10, -24, 0, -22, 3, -10],\n [-4, 17, -20, 2, -15, 16, 21, -5, 0, 13, 21],\n [-4, 4, 4, 7, 14, 4, 11, 4, 0, -20, -22],\n [-11, 10, -23, -10, -10, 14, 1, -20, -5, -13, -17],\n [15, 17, -18, 2, 19, -7, 3, 5, 7, 23, -20],\n [18, -22, -10, -23, -1, -9, -4, -8, 6, -8, 0]]\nB =\n[[24, -1, 2, 14, -3, -18, -13, 18, 21, -16],\n [15, -23, -16, 23, -11, -2, -16, -5, 20, 22],\n [12, 13, 16, 25, 24, 2, 15, -24, 15, -22],\n [17, 23, -23, 6, 21, 8, -10, -22, -8, 2],\n [16, -20, 17, 16, -25, -10, 11, -17, -9, 10],\n [8, 5, 8, 11, 8, 19, 11, -25, -11, 5],\n [25, -12, 18, 8, -25, 9, -15, -9, -21, -9],\n [-8, -1, 9, 21, -10, 21, 23, 24, -3, 14],\n [-5, 3, 20, 10, -16, -6, -19, 4, 3, -25],\n [-5, -19, 18, -22, 13, -11, 8, -24, 11, -23],\n [22, -22, 21, 23, 17, 10, 1, -22, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13095", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[8, -10, 19, 14, 25, -4, 6, -24, -9, -3, 18],\n [20, -14, -13, -16, -22, -19, -24, -11, 10, -17, -2],\n [-20, 23, -19, -10, -9, 4, -18, -23, -1, 3, -5],\n [-20, -3, 24, -15, -20, 1, 1, -13, -17, -18, 19],\n [1, 6, 3, 20, 7, -21, 12, -17, -13, 7, 4],\n [-1, -20, 13, -16, 10, 24, 22, -7, -15, -9, -24],\n [-19, 15, 5, 5, 20, -9, -11, -19, 4, 13, -12],\n [5, -17, -17, 23, -24, 18, -4, -10, -24, -11, -20],\n [-3, 2, 17, -9, 10, -7, -21, -3, 18, -7, -25],\n [1, 17, -1, -20, 10, -9, -14, -1, -16, 20, 13],\n [-2, -15, -2, -23, 14, -6, -3, -21, 10, -13, 10]]\nB =\n[[-20, -24, 3, -21, -11, -18, 8, 11, 0, -17, -18],\n [-12, 22, -1, 8, -23, 6, 10, 21, -21, -11, 2],\n [-8, 19, -15, -16, -22, -6, -21, -25, -13, 20, -4],\n [22, -13, -11, -17, -23, -24, -14, -2, -8, 10, -1],\n [-11, -25, -18, 23, 11, -19, 9, 12, 19, -10, -9],\n [12, 4, 11, -8, 10, -14, 2, 22, -15, 17, -20],\n [0, -10, 12, -17, -8, 7, 24, -7, -17, 20, 18],\n [16, -17, 18, -21, -3, 25, 16, 8, 12, -4, -21],\n [-25, 0, -8, 0, -11, -24, -11, -15, 19, -6, 21],\n [16, -9, -21, 7, 25, 18, -1, -19, 8, -11, -13],\n [6, 13, -12, -6, -10, 4, 15, -7, -4, 11, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-18, 3, -12, -15, 4, 7, 16, 8, 13, 23, 11],\n [16, 11, -21, 15, 17, 21, -21, -9, -7, 20, 0],\n [-24, -12, 2, -22, -23, -11, -4, 22, 16, 24, -7],\n [8, -16, 8, -10, 11, 10, 23, 19, -4, 6, 18],\n [-9, -17, 7, 7, -24, -12, 11, 7, -25, 21, -4],\n [4, 1, 7, -10, -16, 1, 11, -24, 4, 20, 17],\n [-7, -7, 25, 9, -15, 6, -10, -9, 3, -6, 10],\n [21, -2, 17, 22, -22, -21, -7, 22, 25, -2, 22],\n [-25, 9, -24, -16, -20, 14, 12, -6, -7, 22, 10],\n [22, 3, 15, -2, -17, 6, 14, -21, -5, -9, -2]]\nB =\n[[1, 22, -8, -4, -20, 2, 16, -6, -10, -7, -18],\n [-8, 11, 19, 21, 5, 12, -24, 6, -11, -15, -21],\n [16, 3, -6, -6, -8, -14, 23, -9, -22, -7, -3],\n [1, 24, 16, 20, 19, -12, -22, -22, -2, -3, 10],\n [-15, 7, 12, -21, 1, 11, 1, 5, -14, 21, -20],\n [-14, -12, -4, -15, 14, 13, 12, -13, -20, -6, -24],\n [-15, -18, 4, 1, -22, -19, 21, -2, 6, -7, 16],\n [9, 16, 25, -23, -8, 11, -4, 7, 12, 13, 8],\n [23, -3, 9, 3, -24, 24, -12, 22, 18, 24, -18],\n [-25, 2, -23, -19, 8, 22, 6, -17, 9, -7, 20],\n [-11, 5, -10, 25, 21, 20, 11, -19, 9, 3, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73999", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[22, 8, 9, 5, -14, -25, 21, 3, -25, -25],\n [-11, -23, -12, -16, -23, -6, 24, 10, 1, 23],\n [10, 21, -15, -23, -2, 13, -16, 0, 25, 6],\n [-18, 21, -13, -23, -11, -5, 16, 3, 21, 1],\n [4, -12, 15, -11, 20, 21, 20, 16, 18, -12],\n [-1, 1, 21, 18, -24, 25, -9, -11, 1, -16],\n [17, 20, -17, -23, -2, -25, 12, -20, -21, -22],\n [-23, 19, 4, 10, -3, -19, 25, 6, 17, -16],\n [25, 25, 11, 7, 0, 17, 19, 5, 4, -3],\n [3, -18, -10, -17, -22, -7, 13, 18, 15, -13]]\nB =\n[[-14, -17, -14, -2, 22, -13, 9, 6, 12, -12, -24],\n [-5, 5, 9, -10, 14, 0, 12, -23, 11, 10, 12],\n [-24, -4, -23, 14, 21, 16, 21, 0, 1, 12, 18],\n [-18, -3, -20, -1, -10, 0, -11, 21, 6, 14, -7],\n [-12, 22, 18, 9, 0, 11, -13, 21, -18, -12, 0],\n [21, 4, 25, 14, 16, -13, 10, -15, -24, 4, 25],\n [-2, -8, -3, -20, 20, 24, -15, -19, 21, 7, -16],\n [-5, -17, 4, 22, 22, -1, -1, 23, -2, -14, -19],\n [8, -23, -20, 1, -7, -18, 10, 13, 10, -8, -19],\n [-25, -21, 16, -12, -25, -14, -7, -24, -12, -23, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5175", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -13, 23, -23, -12, 8, 19, -17, -16, -18],\n [3, 13, 7, -3, -18, 14, 12, -3, 24, 10],\n [17, -6, 22, -14, 10, -17, 7, -20, 6, -25],\n [-2, 3, -18, -13, -1, 3, -2, 1, 25, 0],\n [-6, -22, -4, -19, -8, -16, 5, 0, 21, 19],\n [0, -1, -8, -2, 18, -11, -18, 17, -1, 9],\n [-2, 20, 14, 12, -5, -25, 0, -16, 0, -24],\n [14, -12, 7, 13, -25, 4, 11, -8, 4, 1],\n [23, 23, 4, 19, 10, -5, -10, -9, -8, 8],\n [-5, -14, 5, -16, 15, -22, -11, 16, 15, 2],\n [-19, -15, 3, 8, 4, 1, -1, 22, 12, 14]]\nB =\n[[-3, 3, 24, -15, -22, 10, 5, -16, -10, 4, 9],\n [18, -9, -21, -23, -10, 25, -22, -17, -22, -5, -16],\n [5, -9, -10, 13, 21, 24, -20, 4, -11, 17, 5],\n [4, 11, -10, 18, 10, -24, 2, 22, 14, -9, 15],\n [12, 10, 6, -1, -13, -12, 18, -1, 9, 3, -11],\n [-11, 21, 21, 14, -9, -1, -3, 20, 6, 5, -3],\n [12, -9, 3, -24, -15, -10, 25, -9, -5, -5, -20],\n [20, 19, -3, 6, 13, 19, 12, 3, 5, -1, -24],\n [-4, 11, 18, -11, -20, 7, -15, -14, -2, -23, 4],\n [-7, 19, 17, -19, -14, 24, 3, 22, -18, -5, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49964", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[23, 1, -22, 6, -2, 15, -17, -16, -15, 7],\n [23, -19, -15, 19, 2, 12, 4, -18, 1, -4],\n [16, 6, -12, 0, 18, -15, -19, 19, 4, -24],\n [9, 0, -1, -25, 3, -2, 12, -25, -1, 8],\n [16, 18, -21, 15, -14, -18, 16, -12, -6, 21],\n [14, -17, -21, -25, -15, -22, 12, -9, -22, 6],\n [-21, -4, -12, -5, -8, -23, -15, 21, 13, 10],\n [1, 12, -1, 16, 13, 9, -11, 22, -5, -23],\n [-2, 18, -21, 11, 7, -2, -20, 21, 19, -19],\n [24, -7, -5, -20, 14, -23, 23, -12, -6, -12]]\nB =\n[[-24, -1, -22, 15, 22, 7, -24, -3, 18, 22],\n [-5, -11, 25, -2, -6, 12, -1, -4, 25, 21],\n [-22, -10, 17, -19, -2, 8, 13, 3, 18, 0],\n [-12, 21, -6, -19, -8, 17, -16, 20, 4, -23],\n [24, 18, -25, 4, 19, -24, -11, -15, 6, -20],\n [-20, 2, -1, -3, -14, 22, 22, -16, -9, -24],\n [19, -9, -17, 21, -19, -13, -16, -4, 2, 24],\n [16, 24, -12, -7, -25, 1, -22, -2, -12, 11],\n [-3, -21, -6, -4, 20, 14, 18, 23, 9, 10],\n [-21, 7, -2, 8, 11, -1, 25, 11, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60397", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 3) of the result:\nA =\n[[19, -21, -18, 15, 21, 1, 9, -25, -6, -19, 19],\n [-23, 16, 24, 22, -17, 21, -12, -7, 1, -20, -19],\n [11, 0, -13, 11, 20, 7, 7, 15, -17, -11, -21],\n [3, -19, 5, 8, -15, 16, -7, -21, -3, 21, -24],\n [17, -22, -9, 5, 4, -24, -2, -16, 2, 17, 6],\n [7, -8, -2, 11, 4, -21, -3, 4, -22, 15, 25],\n [-2, -23, -11, 20, -25, -16, 19, 0, -14, -25, -24],\n [-15, -14, 2, 7, 16, -23, 15, 23, -7, -8, 11],\n [2, 5, -19, 21, 12, -21, -7, -13, 13, 2, -24],\n [-20, -11, 2, 11, -1, 6, 11, 10, 4, 19, -2]]\nB =\n[[-8, -25, -23, -19, 7, -5, -12, 21, 22, 11, -23],\n [23, 11, -1, 7, -13, 24, 7, 3, -7, 0, 12],\n [-17, 20, 4, -4, 17, -22, -19, -8, 24, -20, 3],\n [-21, -20, 8, 8, -25, -8, 1, -16, 13, -24, -7],\n [1, -4, -16, 18, 1, -14, -11, 24, -25, 12, 15],\n [-2, -20, 3, -20, 12, 22, -11, -18, 3, -24, -15],\n [-17, -10, -2, 8, 17, -2, 23, 12, 12, -1, 15],\n [7, 18, 17, -9, -19, 1, 10, 15, -7, -11, -20],\n [10, -21, 19, -21, -24, 17, -8, 6, 21, 23, 3],\n [23, -6, -7, -10, -15, 2, -4, 1, -9, -18, -18],\n [-3, 6, 18, -11, 1, -22, 14, 6, 21, 11, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "580", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 6, 6, 25, -11, -20, -17, 12, 4, 15, 14],\n [-10, -1, -16, 4, -17, 14, 20, -19, 17, 22, 23],\n [14, -14, -9, -1, 21, -19, -7, -9, 6, -3, 19],\n [6, 0, -18, -4, 20, -18, 20, -21, -14, 1, -6],\n [-15, 10, -24, -16, 16, -19, -14, -10, 5, 1, 6],\n [16, 14, 1, -1, 14, -21, -22, 18, 17, -11, -13],\n [7, -21, -20, 19, -1, -1, -16, -14, -23, 3, 3],\n [17, -2, -2, -1, 21, 23, 11, -21, -15, 14, 17],\n [-4, -11, -17, 24, -20, 0, -20, 6, 17, -6, 9],\n [17, -23, -8, 9, -16, 10, 4, 0, 4, 5, -22]]\nB =\n[[-2, -25, 0, 23, 3, 12, 10, -17, 16, 6, 11],\n [14, -8, -2, 14, -8, 13, -18, 13, 25, -15, 17],\n [9, -2, -13, 5, 4, 3, 16, -20, -23, 2, -16],\n [8, -25, -14, 10, 6, -15, -25, 22, -20, 1, -11],\n [-16, -2, -18, -9, -2, -13, -17, -20, 3, -3, -4],\n [-5, -9, 8, 0, 24, -1, 22, 12, -23, -23, -12],\n [16, -16, -24, -19, -12, 23, -9, -16, 9, 23, 19],\n [1, 22, -23, 21, -1, -19, -13, 13, 17, 20, -1],\n [17, 3, -7, 13, -4, -24, -4, 9, 8, -21, 1],\n [-8, 22, -23, 21, -5, -2, 0, -6, -13, -20, 0],\n [22, 17, 4, -12, 21, 11, 12, 4, -11, -7, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60095", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 11) of the product matrix AB given:\nA =\n[[-6, -1, 12, 17, 4, 14, -3, 18, -9, -25],\n [16, -12, 13, -8, 15, -10, -16, 18, -17, -12],\n [-24, 16, -5, 16, -24, -20, -15, 15, -23, 25],\n [-15, -22, -11, 0, 18, 10, -11, 23, 24, -4],\n [11, -16, -6, 6, -17, 24, 5, 18, 14, 5],\n [2, -15, 10, 15, -22, 24, -12, 20, 3, 2],\n [-1, -3, 7, 4, -17, 12, -1, -8, 17, -19],\n [-2, 14, -5, 9, 17, -15, -24, -11, -11, -21],\n [14, -10, 18, 20, -5, 19, -17, -19, 1, -9],\n [-24, 14, 0, 19, -18, 24, 19, 14, -10, -6],\n [6, 6, 9, -11, 16, 24, 6, 4, -7, -2]]\nB =\n[[-24, -5, 16, -10, 14, 13, 10, 15, -24, -10, 3],\n [-19, -11, -3, -21, -25, -21, -13, 0, -13, 6, 3],\n [-8, -24, 1, 24, 16, -23, 4, -16, -17, -23, -4],\n [12, -15, -20, -21, 4, -12, -24, 7, 11, -18, -16],\n [-5, -7, 9, -8, -19, -13, 20, 24, -14, 14, -2],\n [-8, 12, -14, -23, -1, 9, -10, 23, 22, 19, -13],\n [-2, -14, -24, 0, 20, -16, -7, -4, -2, 0, -21],\n [-10, 11, 8, 12, 2, -14, 19, 19, -5, 6, -1],\n [-12, 25, 21, 9, -17, 4, 16, 3, 13, 5, -12],\n [-9, -1, 20, 16, 11, 1, -8, 3, 23, -8, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, -25, 19, -2, 16, 21, -2, -21, 0, -8, 10],\n [-25, -16, -9, 9, -22, 18, 1, -15, -23, 2, -15],\n [-23, 10, -23, -1, -14, -14, 23, 6, 14, -16, 22],\n [-7, 21, 17, -19, -2, 13, 6, -3, 24, -7, 22],\n [-23, -1, -1, -20, 7, 7, -11, -6, 17, 16, 6],\n [-2, -23, -22, 18, -20, -7, 0, 22, -1, -1, -16],\n [12, -6, -21, 16, 18, 24, 9, -21, 9, -23, 15],\n [6, 10, 4, 23, 13, 3, 0, 19, -1, -14, -8],\n [0, -11, -21, 7, 15, -17, 6, -13, 17, 2, -3],\n [-2, 15, 5, -21, 20, 22, -24, 21, 4, 23, -21]]\nB =\n[[-16, 21, 10, 10, -19, 3, 6, 1, -25, -6],\n [8, 25, 10, 0, -3, 7, -25, -23, 24, 9],\n [9, -13, 7, -13, -4, -21, -9, 17, -16, 1],\n [-11, 19, 16, -17, -19, -16, 15, -13, -10, 8],\n [-18, 5, 2, -19, 8, 7, -22, 12, 0, -24],\n [6, 13, 16, 15, -24, 0, 21, 1, -11, -5],\n [22, 1, 8, 23, -15, -3, 24, -4, -3, -25],\n [-14, -1, -20, 24, 23, 23, 8, 2, -1, -8],\n [21, -25, 6, 3, -6, 20, -13, -14, -18, 13],\n [-18, -8, -5, 2, 5, -11, 13, 7, 12, -3],\n [-10, -2, -5, 20, -18, 16, -9, -11, -12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "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, -15, 12, 6, -22, 3, -21, 17, -14, 17, 24],\n [13, -3, 7, -10, 24, 18, -15, -18, 7, 22, 8],\n [-5, 12, -9, 23, 8, 25, 15, -23, -2, -4, -16],\n [-21, 15, 5, -2, 20, -15, 25, 22, -12, 20, -22],\n [-18, -19, 9, 6, -4, -4, 20, 17, 0, 25, 10],\n [3, -22, 5, -4, -18, -5, -11, 22, -22, 16, -21],\n [10, -24, 24, -18, 21, -22, -13, -12, -17, 2, 12],\n [-14, 2, -13, -5, 12, 0, -1, -4, 25, -18, 11],\n [14, 19, -4, -13, 11, -12, -8, 21, 7, -19, -16],\n [4, 8, 19, -23, 14, -14, 10, 5, -3, -18, -25]]\nB =\n[[9, 21, -11, 2, -14, -25, -15, 25, 11, 23, -24],\n [19, 9, 19, -18, 5, -5, 19, -23, -1, 15, 2],\n [2, -24, -18, -25, -5, -11, -18, 14, -4, 13, -6],\n [-13, 0, 13, -19, -15, 5, 8, -15, -2, -1, 25],\n [7, 3, -5, 23, 7, 19, -20, 11, -24, 16, 4],\n [2, 6, 25, 1, 13, -4, -11, 17, 12, 11, 10],\n [12, -19, 5, 18, 4, -12, 8, 1, -3, -23, -21],\n [16, 4, -19, 15, -8, 12, -16, 18, 8, 7, 6],\n [5, 2, -22, -11, -24, -3, -3, 9, 1, 0, 23],\n [8, -13, 14, 25, -16, 13, 0, -22, -8, 9, 21],\n [-9, 1, -18, 21, -13, 20, -4, 10, 17, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61490", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[25, 19, -22, -13, 21, -20, -8, -18, 15, -6, -5],\n [6, 6, -24, 16, -24, 15, 6, -4, 0, 15, 19],\n [-16, 13, 19, -21, -14, 15, 15, 6, 24, 14, -8],\n [-16, -3, -25, 16, 11, -8, 4, -7, 19, 12, -9],\n [2, -4, 20, 12, 6, -1, 22, -17, 10, 24, 11],\n [-25, 3, -11, 18, 20, 3, -5, -14, 0, 19, 5],\n [9, -12, -19, -23, 15, -22, -24, 9, 7, 11, 15],\n [24, -13, 25, 25, -19, 13, 21, 1, 23, -23, -9],\n [-1, 4, -12, 3, -21, -19, 25, -7, 7, -5, 25],\n [-5, -9, -3, 1, 5, -11, 14, 14, -25, -6, 15],\n [8, -25, 6, 22, -4, 3, 19, -15, 7, 12, -25]]\nB =\n[[12, -17, -13, 22, -2, 10, -6, 17, 19, -25, 9],\n [17, -6, 14, -25, 25, 20, 24, -20, 15, 0, 3],\n [15, -11, 11, -7, -17, 15, -9, 6, 2, -11, 16],\n [2, -17, 1, -7, -19, -1, 4, -13, -24, -8, 14],\n [-18, -6, -17, -13, -5, 2, 18, -19, 5, -3, -13],\n [19, 10, -24, 8, -21, -24, 21, 8, -24, -6, -18],\n [-3, 11, -10, -4, 20, -18, 17, 17, 0, 14, -3],\n [-10, -5, 14, 3, -6, -14, 11, 0, -23, -8, -25],\n [-7, -13, 17, 7, 4, -4, 1, 24, 25, -13, -18],\n [24, -24, 25, -7, -2, -21, -18, -6, 9, -24, -20],\n [-10, 21, 10, -24, -12, 12, 0, -6, 3, -22, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2616", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 7) when matrix A is multiplied by matrix B?\nA =\n[[-2, -25, -1, -12, 9, -5, 10, -3, 20, -6],\n [0, 25, 1, 15, -12, 10, -22, 0, 18, 14],\n [-10, 17, 13, -6, 20, -2, -16, -24, 19, -17],\n [-8, 16, 20, 4, -23, 3, -19, -1, -2, 17],\n [-20, -11, -11, 14, 1, -5, 19, 6, 6, -14],\n [18, -17, -6, 23, -11, -13, 20, -18, -5, 19],\n [-1, 9, 14, 4, 5, -20, -15, 16, -18, -18],\n [13, 25, -14, -23, 17, 19, -10, 15, 1, -10],\n [-21, 14, -14, -23, 9, 19, -23, 5, -2, 15],\n [3, 7, 12, 25, -10, 7, -16, 4, 8, 9],\n [-19, -20, -11, 6, -24, 6, 2, -5, -9, -7]]\nB =\n[[-12, 23, 25, 8, 22, -6, -5, 22, -23, -12, -5],\n [1, -19, 16, 3, -17, 14, -11, 18, 2, 12, -11],\n [-11, 4, 6, 14, -14, -6, 1, -24, 15, -4, 0],\n [14, -18, 10, 0, 11, -9, -19, -25, 1, 16, 0],\n [6, -12, -7, -17, 17, 18, -25, -5, -6, 23, 7],\n [7, -8, 15, -9, -13, 23, 17, 23, -17, 20, -25],\n [-3, 14, 8, 10, 24, 19, -12, -5, 17, 17, -5],\n [2, 6, 4, 14, -14, 3, -25, 0, -10, -8, 7],\n [24, 16, 17, -3, 22, -21, -5, -25, 5, -8, -5],\n [-19, -25, -3, 1, -24, 8, -10, 14, -16, -6, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "323", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 5) of the product matrix AB given:\nA =\n[[11, -1, -22, 6, 19, 2, 14, -13, -21, -9, 21],\n [-19, -16, 1, 9, -3, -10, 1, -11, -20, 16, 13],\n [-2, 25, -3, -21, -19, -4, 3, 5, 9, 8, -7],\n [8, 4, -7, -8, -25, 15, -10, 14, 2, -15, 22],\n [6, 0, -16, -3, 22, 19, 13, 7, -12, -17, -12],\n [10, 15, -24, -15, -12, 10, 9, 16, -1, 7, -17],\n [-13, 17, -16, 7, 19, -17, 14, -13, -2, 14, -9],\n [7, -3, 1, 18, 18, 17, 0, -2, -15, 3, 22],\n [-21, -2, -17, -16, -15, 5, -23, -1, 17, 14, 1],\n [-25, 23, 22, -10, 9, -11, 8, -15, -17, -2, 11],\n [9, -4, 14, 12, -19, 18, 4, 3, 13, 15, -17]]\nB =\n[[-25, -23, -21, -15, -22, 18, 7, 7, 19, -6],\n [11, -6, 8, -5, 25, -19, -10, 6, 10, 24],\n [-15, 22, 3, 16, 8, -16, -23, -4, 6, 18],\n [-6, -24, -18, 24, 15, -1, -15, -2, 0, 9],\n [14, -21, -11, 16, -12, 11, -8, -14, -23, 14],\n [20, 7, -22, 14, 0, -5, 19, -10, 22, -3],\n [-2, -17, -7, 1, 14, 5, 25, -25, -13, 19],\n [-22, -1, -16, -3, 17, 4, -12, 6, 4, -21],\n [19, -11, -9, 22, 7, -14, -1, -7, -3, 13],\n [-21, 14, -5, 10, -12, -20, -7, -22, -2, 0],\n [16, -7, 6, 16, 19, 9, 14, 16, -24, 7]]\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[[-16, 19, 7, -3, 8, 16, 10, 4, 13, -21],\n [-5, -10, -19, -17, 15, 17, -2, 23, 0, 6],\n [17, 1, 15, -7, -18, 11, -20, -7, 17, -3],\n [-24, -23, -24, -13, 6, 17, -1, 17, -13, 4],\n [-7, -2, 19, 7, -13, 5, 12, -18, 4, -7],\n [6, 4, 20, 12, -9, 8, -10, 11, -20, -24],\n [-21, 16, -7, -25, 12, -1, -10, 4, 4, -16],\n [14, -2, -5, 25, 13, -11, -21, 10, 25, 25],\n [16, -4, -18, 5, -25, -6, 2, 5, -2, 19],\n [-19, -24, -17, -7, 15, 23, -1, -3, 24, -16],\n [-3, 7, 17, -7, 25, 8, 11, -23, 19, -19]]\nB =\n[[17, 23, -25, 10, -25, 15, 4, 24, 6, 23],\n [-7, 21, -16, 18, 22, 18, 7, 19, -22, -6],\n [18, 25, -11, 15, 4, -19, 12, 15, -8, 4],\n [-18, -5, 24, 19, -19, 18, -21, 6, -10, 14],\n [0, 1, 13, 2, 7, -24, 15, -11, 13, -19],\n [-6, -13, 6, 3, -22, -7, -16, 10, -14, -4],\n [1, 9, 14, -9, -20, 19, 24, 22, 17, -12],\n [7, 18, 2, 12, -19, -15, 7, -23, -4, -13],\n [3, -20, 16, 13, 17, 2, -11, -2, 17, 24],\n [0, -25, 0, 20, 5, -3, 6, 18, -25, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8245", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 7) of the product matrix AB given:\nA =\n[[-9, 20, 18, 2, -25, 25, 10, -21, -21, -24],\n [-15, 9, 4, 6, -18, -24, 10, 13, -1, -7],\n [25, -19, 14, -12, -22, 20, 7, 11, 17, 4],\n [21, -6, -12, 1, -13, -19, -8, 12, 13, -17],\n [-3, 5, -24, 14, 12, 15, 13, -21, -3, 23],\n [6, 13, -10, -15, -12, -23, -18, -11, -17, -10],\n [0, 6, -8, -18, 13, 6, -16, -14, -14, -16],\n [8, 4, 18, 5, 12, -1, -2, 7, -17, -1],\n [-6, 22, -9, -20, 10, 15, -6, 0, 14, 24],\n [-14, -19, 14, 4, -4, 16, 3, -4, -2, -23],\n [24, 15, -2, 0, -21, -13, 11, -4, 8, 13]]\nB =\n[[-23, 6, -2, -17, -23, -4, -2, 12, -16, 9, -6],\n [15, 18, -14, 22, 17, -14, -9, -22, 16, 23, -18],\n [-19, -8, 0, 5, -18, 8, 20, -10, -6, -16, 24],\n [-21, 22, -15, 25, 12, 13, -4, -15, -8, -8, 5],\n [-6, -3, 14, -16, -9, 15, 19, -18, 5, 23, 22],\n [22, 14, 0, 16, 18, 24, -17, 6, -3, 6, 10],\n [-21, 22, -25, 24, 24, 5, 5, 25, -17, 7, 9],\n [0, -24, 8, -9, -20, 11, 5, 2, -5, -15, 15],\n [10, 13, 19, 22, 1, -6, 23, -6, -24, 11, 1],\n [-8, -13, -8, -15, -12, 18, -22, 13, -13, -7, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 7) of the product matrix AB given:\nA =\n[[13, -1, -11, 25, -6, -9, -25, 3, 18, -7, 4],\n [-1, 2, 11, 16, -15, -10, -8, 15, -17, 2, 1],\n [20, 12, 18, -3, 17, -4, -22, 6, -2, 12, 24],\n [2, -20, 7, 5, -16, -14, -19, -2, 2, -15, 6],\n [-6, 2, -25, 1, -10, 10, -20, -16, 13, 18, -7],\n [-16, 0, 8, 15, -25, -16, 7, 0, 8, 11, 23],\n [-13, 12, 4, -2, 16, 8, 11, -7, -24, 4, -4],\n [6, 7, 14, -11, -20, 10, 18, -10, -5, 8, 14],\n [12, 9, 7, -18, -14, 13, 23, 19, -8, 22, 14],\n [-5, 1, -14, -20, 5, 8, -19, 5, -22, 22, -9]]\nB =\n[[3, -23, -2, -23, 20, 20, 13, 1, -25, -11],\n [-12, -22, -22, -1, -15, 7, -15, -14, -11, 0],\n [-2, 21, 0, 1, 10, 1, 12, -24, -3, -17],\n [-18, 25, 14, 16, 23, 25, -25, -5, 0, -11],\n [17, -1, 13, -10, 9, -3, -14, 22, -7, 8],\n [-18, 25, -3, -15, 17, 8, -21, 11, -1, -2],\n [-2, 16, 8, 21, -8, -14, 16, 13, -11, 21],\n [-14, 3, 3, -6, -11, -23, -10, -7, -19, 23],\n [10, -4, -11, -17, -9, 7, -24, -19, 5, -12],\n [11, -22, 19, -16, 19, -4, -2, 18, -8, -15],\n [24, 18, -25, 6, -10, -12, 7, -19, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-21, 23, -16, -22, -2, 20, -20, -14, -6, 0, -14],\n [7, -14, 12, -22, -9, -16, -7, 17, 7, 11, 2],\n [20, 19, -24, 20, 12, 12, -5, -3, 7, 0, 17],\n [4, -22, -20, 8, -6, 11, -11, 14, 23, -3, 16],\n [-17, 8, 17, 8, 1, -10, -22, 2, -9, 15, -14],\n [-21, 9, 12, 13, 10, 4, -12, -12, -24, 2, -5],\n [-11, 18, 20, -3, -16, 0, 9, 8, -24, 5, 17],\n [18, 21, 18, 17, 20, -21, -7, 4, 23, 21, -9],\n [3, -14, -18, -11, 8, 2, -5, -9, 16, -8, -2],\n [-2, -14, -25, 10, 6, -21, 0, -23, 7, 13, -6]]\nB =\n[[-14, 12, -6, -9, 17, -18, 17, -13, -17, -7, 0],\n [-21, 16, 19, -1, -21, -3, 9, 23, 6, 16, 23],\n [-20, -12, 15, 3, 11, -4, -6, -18, 1, 22, -19],\n [8, 15, 2, 5, -5, -16, 25, 10, -13, 0, 8],\n [-7, -20, 22, -11, 20, 19, 23, -8, -6, -25, -4],\n [10, 22, -8, -16, -6, 14, -20, 23, 11, -4, -22],\n [-22, -7, 3, 2, 15, -13, 13, 2, 4, -4, 24],\n [-3, -8, -9, 5, 2, -18, 6, 17, -20, -18, -4],\n [14, 25, 21, 5, 25, -20, -22, -19, 8, 1, -24],\n [-12, 15, 3, 13, -4, -21, 18, -8, 25, -10, 18],\n [-20, -25, -14, -2, -15, 17, 15, 8, 3, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[14, 7, 7, 2, 18, 10, -25, -14, 20, 7, 18],\n [-21, -24, 10, -2, 17, 24, 25, 24, 21, -5, 4],\n [-11, -17, 6, -18, -3, 1, 16, -18, 3, -15, -5],\n [25, 18, 13, 4, 7, -23, -13, 10, -3, 0, -16],\n [12, 10, -3, -18, -12, -2, -8, 14, 11, 20, -1],\n [21, -6, -1, -9, -22, -5, -6, 19, 21, 15, -9],\n [9, 15, -3, -5, 17, -5, -2, 11, -8, 18, -7],\n [-21, 18, 1, -20, 23, -12, -23, -25, 5, 19, 24],\n [-16, 5, 25, 25, -9, 13, 14, 22, -10, 1, -10],\n [15, 19, -22, 16, 1, -17, -1, -2, 2, -8, 18]]\nB =\n[[0, -16, 23, 18, 8, 20, 12, -15, -12, 20],\n [12, -25, -9, 23, -9, -16, 4, 16, 20, 7],\n [-24, 24, -6, 6, -23, 10, -21, -6, -23, -23],\n [10, -20, 13, 10, -2, 21, 12, 11, -18, 12],\n [23, -10, 17, -25, -12, 19, -16, -16, -4, 14],\n [15, 5, -22, 17, -3, 15, -14, 19, -18, 19],\n [-2, -25, 0, -4, 17, -1, 5, 8, 11, -15],\n [-22, -18, 18, 9, -1, 5, 23, -3, 14, 12],\n [-22, 10, -19, -16, -20, 5, -22, -5, 16, -6],\n [-9, -20, -15, -8, -17, -14, 5, 5, 17, 24],\n [8, -10, 15, 22, -14, 23, -13, 10, -13, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6531", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-24, 23, -11, -13, 8, 0, -20, -5, 18, 7],\n [-11, 9, 2, 16, -20, 11, 14, -20, -15, -12],\n [-5, -6, -21, 19, -17, 4, 16, 17, 12, 1],\n [-21, -21, 22, 14, -11, 21, -17, 21, -1, -18],\n [-12, 13, 6, 5, -3, 18, -25, 21, 5, -19],\n [-11, 16, -20, -10, -12, 18, -9, -16, 3, 16],\n [-18, -15, -8, 19, -6, -10, 1, -3, -12, -14],\n [19, 1, -13, -10, 7, -2, -14, -17, -13, 19],\n [-18, 24, -8, 1, 15, 7, -19, -13, -11, 8],\n [14, -6, 11, 15, -9, 3, -5, -12, 3, 15],\n [21, -4, 7, -13, 16, 5, -14, 6, 20, -20]]\nB =\n[[-15, -3, -19, -6, -22, -5, 18, 4, -1, 5],\n [-24, -6, 20, 15, -12, 12, -3, -21, -7, 24],\n [-19, -5, 7, -6, -17, 5, -18, -15, -19, -5],\n [23, 2, -11, -18, -14, -21, -18, 11, -12, -22],\n [1, -11, -6, -4, 16, 23, 10, 4, 7, 2],\n [12, 14, -22, -12, -24, 11, 21, -7, -12, -19],\n [-17, 7, -2, 16, 17, -5, 18, -25, -5, 14],\n [-2, 12, 18, 15, -22, -20, -23, 8, -1, 1],\n [-8, -21, -2, 6, -5, 18, 8, 3, -21, 24],\n [2, -20, -15, 13, 22, -18, 9, -15, -6, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58401", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[17, -4, 15, -14, 22, -21, 8, 16, 8, 4],\n [-3, 10, -1, 22, -20, 16, 3, -5, -19, 11],\n [19, 15, -17, 21, 10, -25, 5, -6, 2, 20],\n [-7, -25, 3, -16, 10, -3, -8, 3, 2, 18],\n [-19, 5, 12, 15, -24, -11, -4, 19, -15, -7],\n [-20, -17, 18, 3, 17, -23, 24, 19, -13, 21],\n [25, 21, -11, -21, -21, -24, 24, 12, 24, 4],\n [2, 13, 6, -6, -6, 3, 9, 6, -9, 25],\n [-18, -5, -3, 25, 25, 1, -20, -18, 9, -21],\n [7, -25, -2, 6, 7, 12, -24, 18, -9, -16],\n [11, 11, -24, -14, 11, 4, -11, -3, -8, 5]]\nB =\n[[12, 3, -12, 17, 14, -3, -1, 15, 12, 2],\n [9, 4, 1, -18, 22, -7, -25, 19, 18, -6],\n [4, 3, -18, -12, 12, -23, -23, -12, -5, 9],\n [18, 18, 23, 17, 15, 1, 2, 2, -21, 17],\n [13, -16, -17, -6, 3, 21, 3, 2, -15, -5],\n [9, -3, 3, -11, -9, -2, 9, -6, 10, -15],\n [4, 13, -6, -4, -2, -12, 10, -13, -25, 24],\n [1, -13, 9, -18, -8, 8, -20, 1, -8, 24],\n [-17, -11, -3, -23, -17, -4, 24, -3, -6, -19],\n [-9, -23, -19, -13, 15, 15, -3, 11, -22, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 8) of the product of the following matrices:\nA =\n[[-20, 16, -8, 9, -3, 5, -6, -19, -14, 11],\n [23, 25, -22, -14, -11, -24, 21, -15, 7, -12],\n [1, -22, 12, 14, -6, -24, -22, 23, -2, -17],\n [-7, -18, 15, 2, -13, -18, -12, 24, 24, -16],\n [-6, -25, -14, 9, -6, -14, 24, -14, 13, 3],\n [-23, -19, -3, -13, -15, -1, -6, 23, 21, 1],\n [-20, -20, 13, 15, -17, -5, -8, -25, 24, 24],\n [-14, -25, 2, -2, -7, -12, -12, 0, -10, -2],\n [6, -20, 23, 19, 4, -3, -7, -1, -1, -24],\n [-16, 15, 1, 18, -18, 15, 17, 7, 17, -7]]\nB =\n[[4, 8, -12, 10, -6, -3, -11, -24, -2, -2, 5],\n [-10, -22, 8, -11, -7, -7, 22, 18, 9, -6, 21],\n [13, 15, 3, -11, -6, 6, -13, -19, -10, -16, -24],\n [25, 12, -8, 8, -5, -5, -25, -11, -16, 9, -1],\n [6, 5, -16, -23, -4, 12, -24, -3, 15, 14, -2],\n [6, 7, 23, 1, -13, 11, 13, 3, 15, -1, 20],\n [-7, -25, 9, -10, -18, -19, -5, -15, 0, -11, 19],\n [-20, 11, -22, -7, 21, -5, 11, 17, -8, 16, 22],\n [10, 25, 11, -11, 12, -24, 16, 5, -20, -7, 12],\n [-11, 7, 14, 0, 4, -15, 20, -25, -12, -16, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1041", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, 16, -11, -14, -23, -4, 24, 0, 13, 17],\n [24, 23, -3, -10, -23, 4, -13, -18, -2, -21],\n [-19, 25, 25, 1, -14, 15, 23, -1, 16, 24],\n [7, -11, 5, -15, 10, -20, 19, 0, -18, 13],\n [11, 11, 22, 4, 12, -10, -11, 12, -18, 9],\n [-17, -5, 15, -21, -7, 22, -10, -8, -14, -10],\n [-21, -23, -19, 6, 5, -12, -2, 22, 7, -21],\n [-18, -24, 13, 12, 16, 9, 12, 25, 8, 25],\n [4, 23, -3, -22, 9, -12, -4, 4, -23, -15],\n [-16, -23, 15, 22, 24, -21, -11, 22, 24, -20],\n [-22, -3, 19, -25, 8, -11, -22, 1, -13, 20]]\nB =\n[[21, 14, 6, -17, 11, -1, -23, 13, 14, -10, -9],\n [1, -16, -25, 25, 24, 3, -8, 6, 11, 17, 7],\n [-4, 17, -15, 11, 3, -6, -4, 6, 24, -18, -4],\n [-11, 9, -10, 18, 3, 8, -6, -13, 25, -13, 5],\n [-5, 24, 4, 22, -1, 4, -16, -19, 8, -22, -4],\n [3, -22, -25, 22, -3, -3, -20, 25, -21, -3, 12],\n [-19, -21, 7, 0, -5, 8, 0, -16, -24, -6, -12],\n [-19, -16, 5, -18, -25, 3, 5, -18, -10, 20, -7],\n [0, -16, -8, -24, 11, 3, -24, -23, -2, -17, 17],\n [22, -12, 20, 17, -15, 24, 17, -2, -12, 25, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1892", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -13, 8, -7, 15, -15, 23, 0, -21, -5],\n [-17, 22, -14, -25, 23, -12, 0, -19, -10, -11],\n [-22, 4, -3, -4, -11, -9, -24, -18, -20, 13],\n [2, 22, -21, -5, 24, -6, 17, 8, -19, 4],\n [4, -11, 1, -17, 1, -24, 10, 1, 21, 14],\n [-1, 10, 14, -19, -13, 11, -6, -4, -8, 25],\n [-15, -20, -22, -23, -20, -11, -23, -9, 4, -4],\n [-24, -10, -4, 23, -15, 10, -14, 14, 9, 17],\n [19, 15, -11, 18, 16, -5, -22, -19, 3, 15],\n [-20, 13, -9, 10, -24, -9, 3, 1, -19, -15],\n [0, 24, 13, 6, 24, -3, 25, 20, 14, -19]]\nB =\n[[-25, -1, 5, -20, 2, 5, 10, -10, -11, -4],\n [-8, 24, -18, -16, 11, 13, 23, -20, 17, -16],\n [13, -19, 16, 19, 9, 2, -1, 2, -17, -21],\n [-10, 3, 17, -3, -8, 0, 21, -21, -18, 14],\n [-7, 11, 2, -22, -6, 24, -4, -14, -25, -18],\n [15, 1, -5, 19, 7, 12, 7, 20, 11, 19],\n [-21, -11, 4, -23, 2, 4, 10, -23, 18, 5],\n [-12, -20, -7, -21, 23, 25, 0, 24, 18, -8],\n [11, 19, 10, 5, -8, -17, 0, -24, 6, 16],\n [19, -20, -6, -18, 19, -22, -1, 5, -7, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7844", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[21, 11, 4, 1, -9, 6, -7, -1, 3, -1, 6],\n [11, -15, -22, 20, 5, 10, -22, -24, 13, 25, 7],\n [18, 1, 0, -7, 18, 15, 13, 7, 12, -16, -25],\n [24, 9, -15, -12, -20, 17, 13, 14, -1, -3, -21],\n [0, -8, 6, 21, -5, 0, 24, 9, -16, 2, 5],\n [-11, 14, -18, 20, -16, 19, -16, 12, -8, 22, 2],\n [2, 24, -6, -2, -20, 15, 22, 6, -20, -15, 4],\n [-23, -18, 7, 21, 21, -7, -16, -7, -17, -19, -12],\n [-24, -4, 19, -6, 0, -22, 13, 14, -3, -10, -1],\n [-17, -15, -1, 5, 20, 1, 10, 25, 21, -12, -3],\n [-10, -6, -23, -20, 3, -22, -25, 24, -18, 22, -6]]\nB =\n[[-10, 21, 5, 6, 8, 3, -14, -22, 17, 8, -20],\n [23, 25, -17, -21, 20, -10, -25, -6, 9, -16, -1],\n [21, 2, 9, 7, 19, -11, -5, 16, 9, 24, 25],\n [11, -16, -10, -6, 24, -18, 19, 5, -18, -13, -2],\n [-14, 19, -9, 21, 15, 10, -14, 10, -13, 9, -21],\n [-13, 20, -18, -15, -18, 5, -14, -15, -9, 1, -13],\n [10, -13, 15, -4, 20, 18, -2, 4, -13, -18, -21],\n [17, -20, -19, -4, 4, -11, 11, 15, -6, 5, 25],\n [-21, 19, -14, 11, 4, 13, -23, -13, -15, -16, 4],\n [-17, 4, 3, 12, 20, 16, 23, 8, 0, -24, 10],\n [-19, 10, 14, -12, 1, 0, -6, 9, -15, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1299", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-21, -10, -15, 7, -17, -4, -21, -6, 17, 8, 4],\n [-16, 11, 6, -2, -9, 18, -23, 13, 17, 17, 0],\n [-14, 11, 16, -14, 20, 7, 1, -12, -19, 16, 18],\n [12, 22, 16, 18, 1, -16, 16, 17, 15, -17, 18],\n [8, 20, 15, 3, -8, 3, 4, -13, -4, -10, 19],\n [6, 14, 0, 5, 18, -7, 16, 8, 21, 23, -20],\n [9, -15, 11, -4, -13, -10, 0, -4, 16, -13, -3],\n [6, -3, 17, 6, 22, 12, 2, 7, 14, 0, 4],\n [-9, 16, 3, -24, 25, 12, 8, 24, 20, 12, -14],\n [-5, 1, 14, -23, 11, 23, 0, -21, 20, -6, 20],\n [15, -18, 17, 2, 3, 24, 15, -24, -24, 12, 12]]\nB =\n[[17, -3, -16, 19, 2, -7, 2, 5, -24, 3],\n [-12, 2, -25, 18, 24, -10, 11, -5, 25, -12],\n [17, -9, -11, 22, 5, 20, 23, 10, -12, 10],\n [1, -23, 10, -20, 1, -4, -4, 10, 6, 1],\n [-19, 13, 24, -14, -10, 12, -21, 16, 23, 9],\n [-17, 3, 1, 6, -16, -1, 16, 12, -1, -22],\n [17, 15, 18, -3, -16, -20, -13, 5, -21, -22],\n [-23, 4, -3, 11, -8, 9, -21, 15, 2, 12],\n [21, -8, -18, -14, 4, -4, -20, 4, -18, 21],\n [22, 3, 5, -21, -15, -9, -13, -6, 5, 0],\n [2, -1, 22, -8, 19, 6, 3, -23, 9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52913", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, 25, -23, -5, -23, 9, 24, -18, 22, -23],\n [-15, 22, -24, 7, -18, -14, -7, -8, 24, -5],\n [-4, 17, 4, -8, -20, -25, -17, -10, 3, 3],\n [-21, -7, -4, 23, -18, 25, -8, 18, 22, -12],\n [-22, 14, 1, -2, 4, -14, 17, -13, 14, 24],\n [19, -22, 0, -25, 1, -3, 16, 12, -15, 13],\n [16, 18, -5, -4, 2, 12, -20, -1, -22, 8],\n [0, 13, 1, 13, -5, -5, 3, 8, 1, 16],\n [20, 0, -21, -6, -18, -8, -21, -22, 25, 17],\n [-21, -10, -17, -1, 12, -18, -25, 5, 7, -21],\n [-8, 10, 22, -6, -2, -7, 2, 4, 13, -11]]\nB =\n[[24, -17, 13, 5, -25, -13, 10, -24, 16, 11, 9],\n [11, -15, -8, -6, -24, -2, -10, -3, 24, 12, 21],\n [18, 3, 4, -22, 3, 18, 17, 15, 1, 7, -8],\n [-20, 6, 5, -14, -3, 3, -23, 7, 13, 2, -8],\n [18, -4, -6, -10, -19, 23, -22, 16, 12, 8, 10],\n [-8, 7, -25, 22, -1, 19, -12, -15, -18, 16, -10],\n [13, 11, 5, 16, -8, -19, -22, 6, 5, -16, 4],\n [24, 24, 9, 19, 5, 5, 20, 20, 7, -21, -16],\n [20, 25, -3, -19, 21, 2, -5, 5, 15, 1, 3],\n [-16, -18, -17, -15, -4, 14, 0, 24, 11, 14, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1070", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[24, -7, 24, -10, -22, 23, 12, 18, -19, -12, -14],\n [-5, 8, -5, 10, 14, 16, 23, -19, -5, -16, -5],\n [23, -10, -1, -13, 24, 1, 11, -18, 4, 5, -19],\n [4, -8, -3, 12, 19, 15, 4, 4, -18, -14, -16],\n [-19, 13, -9, 6, -21, 16, -5, 5, -11, -13, 20],\n [23, -19, -2, -22, 15, -7, 20, 9, 3, 10, 8],\n [-18, -24, -22, -24, 4, 3, -22, -5, -17, -24, -6],\n [23, 7, -20, 3, -10, 10, -21, 11, -17, 6, 11],\n [8, 13, 21, 14, 3, 5, -23, 17, -1, 16, 10],\n [18, -13, 13, -7, -10, 16, 4, 13, 9, -24, -25]]\nB =\n[[22, 19, -23, 0, 2, 1, -12, 24, 17, 25],\n [-2, 9, 8, -2, -20, 5, 3, 10, 3, -13],\n [-18, -11, 7, -1, -10, -5, 11, 19, -9, 8],\n [-13, 8, 17, -11, 15, -4, 25, -22, 23, 21],\n [13, -3, -13, -18, -25, 15, 24, -9, -9, -18],\n [-23, 3, -4, 17, -24, -24, 22, -9, -17, 7],\n [3, 3, 18, -20, 17, -20, 11, 19, -25, -10],\n [25, -15, -4, 8, -25, -13, 23, 20, 23, 16],\n [2, 23, -13, 12, 4, 10, -22, -12, 10, -3],\n [-21, 20, -11, -3, -18, -15, -19, -3, 19, 20],\n [15, 1, 5, 21, 14, -24, 18, 22, 5, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "716", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-25, -1, -9, 4, -2, 5, 25, -13, -11, 0],\n [6, 19, 9, -10, -17, -7, 14, 14, 20, 25],\n [19, -23, 0, 11, -18, -20, -21, -5, 1, 18],\n [12, -18, -4, -3, -1, -19, -12, 15, 3, -9],\n [25, -20, 6, -7, 1, 4, 24, 7, 11, 19],\n [-15, 15, -16, 3, -4, -6, -7, -2, 2, -24],\n [14, -8, -8, -24, 21, 23, -3, 21, -11, -1],\n [19, -8, -5, 21, 6, 24, -7, -8, -2, 21],\n [16, 4, 3, -5, -5, 22, 15, -24, 19, -25],\n [-4, 14, 12, -7, -7, -24, 3, 24, 24, -3]]\nB =\n[[21, 22, 1, 19, -3, 2, 2, -21, -8, 4, -2],\n [11, -10, 3, 4, -1, 12, 13, -25, 14, 13, 13],\n [5, 13, 5, 7, -14, -1, -3, 17, 22, 2, 7],\n [12, 0, -2, -21, 18, -9, 19, 11, -11, -24, 8],\n [-6, 4, -10, 18, -22, 5, 0, 15, -14, -24, -18],\n [-12, -2, 17, 14, 15, -1, -19, 6, -3, 20, 13],\n [0, 16, -19, 21, 24, 19, -22, 18, -1, -8, -19],\n [-4, -22, 3, -2, 14, 24, 12, 15, -14, -17, -11],\n [-13, 4, 9, 9, 0, -7, -5, -5, -13, -5, -2],\n [0, 18, 5, 4, -2, 6, 4, 0, 12, -8, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47029", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[23, -14, -5, -3, 2, -9, -11, -3, 8, 2, -22],\n [15, -14, -24, -1, -2, 5, -22, 18, 8, -20, 5],\n [13, 24, -2, -1, -21, -16, -8, 3, -15, 23, 4],\n [17, -21, -20, -12, -10, -12, 7, 11, -21, 14, -12],\n [14, -17, 1, -23, -16, 22, -15, 8, -25, -16, -20],\n [-18, 5, -20, 5, 8, 14, 3, -23, -4, -14, 12],\n [-7, -19, -3, -13, -22, -5, -12, 10, 24, -19, -13],\n [9, 23, 7, -15, 25, 13, -1, 20, 13, -2, -4],\n [17, 25, 22, 23, 20, -4, -11, -8, 18, 19, 6],\n [10, -16, -17, 18, -1, -22, 12, 20, 10, 16, 11]]\nB =\n[[13, -19, 16, 0, -6, 19, 21, -5, -21, 4],\n [22, 12, 10, 12, -3, -3, 22, 25, -20, 17],\n [20, -3, -11, -25, 10, 13, 2, -16, 7, 20],\n [-2, -20, -12, 6, -7, -20, -6, -1, -6, 12],\n [-15, 6, 3, 4, 3, -4, -15, 23, -6, 15],\n [-12, 1, 12, -22, -19, 4, -16, -19, -21, -22],\n [21, 10, -11, 13, 12, 10, 25, -24, -11, -6],\n [8, -13, -1, -12, 15, 22, -17, 23, 9, -4],\n [-21, 18, 11, -12, -9, -21, -13, 21, 5, 23],\n [-16, 22, -3, 3, -10, -9, -19, 17, -12, 18],\n [-17, -19, -12, -10, -16, -21, 25, -19, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1212", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[14, 16, -4, 9, 20, -23, 21, 16, -19, -7],\n [16, 20, -18, -3, -6, 7, -20, -11, -21, -12],\n [-17, 0, 6, 5, -20, -25, -7, -11, 8, -7],\n [23, -15, -8, -2, 20, 25, -17, -15, 17, -22],\n [-8, 18, -3, 15, 11, -25, -1, -17, 13, -25],\n [-9, -23, -3, -25, -2, -13, -6, -6, -14, -9],\n [-5, 14, -2, 4, -3, -3, 21, -9, -24, 16],\n [-2, 7, 19, 18, -11, 6, 16, 8, -4, 5],\n [-11, -6, 16, -3, 5, -24, -13, 16, 6, 23],\n [-10, -11, -1, -14, 2, 15, -14, -5, -14, 25],\n [23, -10, -16, -16, -24, 1, 4, 7, -10, -16]]\nB =\n[[-11, 0, -11, -20, -9, 19, -25, 24, -3, 8],\n [9, 17, -1, -25, -1, 12, -10, 21, 15, -14],\n [-16, 1, 13, 16, -19, -20, 19, -15, -2, 14],\n [-1, 11, -23, -22, -22, 15, -25, 4, -11, 19],\n [5, 11, 24, -21, 17, -5, 9, -22, -19, 3],\n [10, 9, 6, 16, -15, 24, 7, 15, -9, -14],\n [-25, -3, -19, -12, 15, 18, 14, -19, -12, 8],\n [-24, -6, -9, -16, -21, 7, 11, 10, 18, 20],\n [-15, -5, -22, -1, 15, 9, 9, 9, 13, 7],\n [-13, -22, 18, 14, 25, 12, 16, 19, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60945", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 2, 15, 16, 19, 22, -18, 0, 17, 8],\n [25, 3, -24, -20, 22, -10, -19, -15, -10, -20],\n [11, -17, -23, 3, -18, 14, -9, 12, 18, -20],\n [21, -15, -16, -24, 3, -20, 25, 23, -17, -24],\n [-22, 15, 14, 4, -22, -25, 17, -15, -19, -8],\n [-18, 4, -11, -16, 20, -24, 16, 25, -11, -4],\n [8, 23, -23, -22, -1, -21, -14, -2, -7, 6],\n [-14, 11, 21, 1, -8, -1, 25, -3, -23, -24],\n [-15, 20, 11, 4, -13, 14, -20, -14, 13, 17],\n [-18, -17, -22, 11, 10, 6, -14, -8, 5, 21],\n [14, 17, 20, 13, 3, 22, 14, 3, 1, -15]]\nB =\n[[7, 23, 13, -8, 18, -6, 2, -4, 6, -5],\n [11, 1, 12, 0, -3, 8, -14, -15, 10, 6],\n [13, 11, 17, -10, 16, 5, 15, -20, -13, 10],\n [-15, -15, 22, -6, 3, -7, 4, -20, -9, -8],\n [10, -8, 17, -14, 16, -23, 21, -8, -10, 13],\n [17, 2, 16, -17, -6, -8, -1, -5, 19, 0],\n [-3, -16, 18, -13, 11, -14, 10, -23, -12, 9],\n [8, 14, 3, 4, -19, -24, -8, 0, -9, 20],\n [-14, 24, 6, 23, 3, 22, -16, 10, -24, 11],\n [-12, -16, 14, -25, 15, -5, -21, -17, -17, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4605", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[-21, -10, 8, -22, -5, 24, 11, 14, 18, -12],\n [1, 23, -14, 1, 8, -22, 17, 18, 25, -24],\n [16, 16, 6, -24, -4, -7, 0, -6, 10, -8],\n [24, -12, -6, 19, -2, 21, 21, 5, 10, -11],\n [20, -19, 23, -3, 3, 15, -22, 5, -8, 19],\n [5, 21, 10, -8, -16, -19, 12, 19, 2, -8],\n [5, -17, 17, -10, 14, -1, 11, 4, 21, -24],\n [-21, 16, 4, -7, -12, 1, 4, 19, -12, 5],\n [10, 13, 24, 4, 12, 21, -15, -9, -16, -10],\n [25, -15, 13, 2, -5, 2, -3, 20, -25, 23]]\nB =\n[[-13, -18, -7, -2, 14, 23, 11, -1, 17, 0],\n [20, 16, 1, 6, 18, -23, 15, 17, -17, -25],\n [-8, -23, -12, 6, -22, 11, -5, 16, 1, -21],\n [-23, -4, -6, 15, 18, -24, 17, -25, -3, 22],\n [-1, 0, -23, 5, 1, -13, 21, 7, -1, -10],\n [21, 12, 0, 21, -8, -9, 20, -1, 0, -8],\n [23, -25, 20, -19, 4, 7, -1, -1, 1, 9],\n [17, -8, 4, -12, 9, 8, -6, -11, -19, -13],\n [10, 14, 8, -13, -22, -13, 22, 18, -13, -3],\n [3, 7, -3, -23, 6, -23, -14, -22, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-721", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 7) of the product matrix AB given:\nA =\n[[-9, -17, -21, -5, -23, 13, -23, 11, 18, 9, 7],\n [-23, 22, -8, -23, 3, 11, -21, -17, -14, -10, 1],\n [-17, 24, 17, -4, -9, -25, -23, -21, -4, -25, 21],\n [23, -22, -4, -2, 6, 20, -24, 10, -21, -19, 10],\n [14, 17, -18, 10, 17, -14, 2, -24, 21, -12, -7],\n [-5, 4, 23, 22, 11, -5, 2, 7, 16, -19, 16],\n [-10, 11, 25, -1, 12, 18, 12, 16, 16, 19, 25],\n [4, -9, -10, -22, 4, -6, 9, -21, 19, -12, 15],\n [15, 14, 2, -16, 4, 24, 6, -14, 19, -10, 0],\n [9, 15, -10, -9, 22, -3, 16, -4, 24, -5, 8]]\nB =\n[[20, -21, 12, 5, 7, 21, -23, -7, -8, 2, -11],\n [24, 7, 2, 20, 23, -18, 14, 23, 4, -25, -19],\n [-12, -5, -20, -9, -12, -19, -11, -18, 22, -16, 3],\n [15, -7, -24, -18, 4, 17, 10, 24, -8, -24, -21],\n [20, -13, 14, -15, -18, 21, 12, -9, -15, 0, 13],\n [8, -23, 24, -1, -2, -3, 4, 20, 15, 14, 1],\n [24, 18, 18, -16, -17, -24, -5, -15, -16, -1, 14],\n [-21, -4, -21, -17, -15, 18, -21, -20, 7, -10, 20],\n [-2, -12, -2, 19, -14, -3, 13, -20, 15, -5, 22],\n [-17, 20, 15, 10, 15, 14, 20, -21, 22, 16, 5],\n [9, 15, -23, -7, -7, -25, -4, -7, 0, -11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "459", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 13, 5, 4, 7, -10, 14, -14, 2, 4, -20],\n [16, -12, -21, 10, -3, 6, 5, -12, 6, 23, 1],\n [-25, 23, -17, -10, 9, -16, 23, -10, 4, 7, 25],\n [-11, 13, -18, -22, 18, -24, -19, 12, 8, -1, -19],\n [-1, -24, 0, 10, 22, 12, 16, 20, -23, 20, 3],\n [-15, 17, -5, 17, -22, -21, -20, -4, 20, 13, -20],\n [-12, -4, -10, 6, 10, 24, -19, -3, 25, -12, 21],\n [-20, 16, -1, -23, -13, 25, 24, -23, 5, -23, -9],\n [13, -24, -21, -17, 3, 9, 14, 10, 9, 24, 4],\n [-11, 3, -1, -15, 11, 22, 25, -22, 17, -14, 6]]\nB =\n[[-21, 16, 16, 25, 11, 11, -1, -22, -2, 10, -24],\n [9, 10, -18, -17, 2, 14, 18, -16, -21, 11, 21],\n [5, 3, -23, 0, 5, -24, -11, -13, 2, 18, -12],\n [-14, -11, -5, 3, 19, 9, 21, -6, -8, 12, -11],\n [-14, 8, -21, -9, -13, -13, 10, -10, 14, -23, -24],\n [-1, -23, -15, -15, -16, 2, -15, 23, -19, 3, -25],\n [-11, -19, -22, -23, -6, -23, 3, -6, -16, 9, 0],\n [4, 0, 11, -6, 25, 16, -17, -15, 7, 4, 4],\n [19, -3, 10, -2, 5, -3, 16, 10, 14, 23, 8],\n [-5, 0, -19, -1, -23, 17, -8, -20, 20, -13, -24],\n [22, 14, 21, -13, -25, -24, -22, -13, 4, 18, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77218", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[7, 12, 17, 22, 8, -23, 17, -17, -19, -22],\n [2, 16, 6, -25, -13, 10, 0, -13, -4, -2],\n [-15, -1, -11, 19, 10, 12, 8, 8, 6, 12],\n [-1, -23, 17, 21, 3, -5, -17, -5, -5, -19],\n [21, 6, -4, 16, -15, 8, -12, 22, 15, -4],\n [-1, -10, 7, -24, 13, 18, 24, -20, 8, 20],\n [22, 16, 11, -4, -10, -19, 21, -13, 23, 24],\n [24, -9, -23, -14, -20, -14, -15, 15, -7, 5],\n [25, -24, 19, 6, -8, -22, -4, -12, -12, 11],\n [3, 25, 8, 22, -20, 17, -14, -2, 19, 3],\n [-16, 20, 10, 8, 25, 6, 6, 25, -11, -17]]\nB =\n[[10, -4, -13, 15, 18, -12, 0, 18, -1, -4],\n [4, -13, 24, 6, 11, -7, 9, 23, 3, -19],\n [9, 13, -20, -12, 2, -25, 20, -5, 1, -4],\n [-15, -17, -16, 17, 24, 23, 20, 23, 13, 5],\n [6, 5, -18, 14, 25, -21, 5, -19, 19, 21],\n [-12, -1, -5, 21, 3, 20, 19, 5, -22, 15],\n [20, 3, 23, -25, 6, -25, -22, -6, 14, 11],\n [-12, -12, -24, -5, 3, -14, -8, 12, 15, 6],\n [15, -4, 10, 16, -14, -5, -18, 2, -4, -10],\n [-14, 23, -9, -5, 25, -19, -6, 10, 15, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-13, 15, 3, 17, 11, -18, -6, 18, 22, -16],\n [-11, -14, 20, 19, -10, 16, -18, -6, -12, 11],\n [0, 12, 15, 19, 3, -13, 8, -4, 19, 0],\n [8, 21, -2, -5, 5, -14, 16, -2, -5, -22],\n [-1, -18, 10, 8, 24, 24, 20, 1, 2, 3],\n [3, -16, 18, 6, -18, -9, -14, 0, -23, 16],\n [-15, -12, -19, 0, 11, 7, 18, 22, 6, 12],\n [-6, -16, -11, -11, -20, -1, -25, -20, -13, -15],\n [-2, -6, 0, -1, -14, 20, -17, 19, 10, -17],\n [7, 14, 8, -2, 19, 19, 7, 7, 3, 12]]\nB =\n[[22, 23, -13, -8, 9, 21, -24, -1, -20, -1, -6],\n [-12, 24, -22, -18, 8, 2, -24, -9, -22, 22, 8],\n [1, -7, 2, 12, 8, 6, 15, 5, -20, -20, 2],\n [-18, -25, -10, 16, -7, -8, 4, -10, 7, 2, 21],\n [-10, -15, -20, -12, 22, 10, -4, 14, -3, 5, 2],\n [-7, 25, -4, -25, -23, -18, -13, 25, -25, 3, -13],\n [16, 3, 4, -10, 15, 8, 14, -23, 3, 4, 8],\n [-22, 22, -18, 21, 22, -8, -4, -16, 25, -12, 25],\n [20, 5, 9, 20, -24, -24, 9, 8, 3, -20, -22],\n [-25, 9, 22, 21, 0, 3, -15, 25, -22, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2595", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 5, -16, 9, 2, -3, 23, -14, 3, -24],\n [-13, 10, 21, 0, -9, 17, 7, -4, -24, -16],\n [13, 0, 4, -4, -15, -4, -2, 3, 25, -16],\n [8, 20, -1, -5, 13, -13, -24, -20, -25, 2],\n [-4, -15, 13, -21, -8, -6, -14, -5, 1, 24],\n [15, 8, -8, 8, -24, -12, 13, -25, 2, 15],\n [1, 4, -4, -14, -25, 7, 15, 22, 23, -25],\n [-21, 22, -21, -19, -6, 0, 23, -20, 0, -23],\n [13, -12, 23, -12, -6, 18, -17, -20, -24, 12],\n [15, 17, 7, 18, -21, -13, -11, 19, 8, -17],\n [0, 4, -4, -1, 14, -22, 21, 2, 11, -16]]\nB =\n[[-17, 10, -25, 4, -15, -1, -15, 15, -21, 1, -3],\n [-7, -23, -18, 22, 23, 10, -11, -13, 4, 15, -16],\n [8, 4, -1, -20, 11, -9, 10, 14, 6, -4, 7],\n [-4, 10, -8, 2, -13, -8, -3, 9, -8, -16, 25],\n [-24, -12, 6, 4, -7, -21, 22, 6, -16, -21, -12],\n [13, 16, 17, -7, -15, 9, 13, 20, 12, -4, 19],\n [20, 4, 4, 21, 24, -15, -4, -16, 17, -7, -11],\n [9, 9, -25, 21, 19, 21, -8, 0, -8, 15, -8],\n [17, -8, 6, 12, 1, 23, 3, 23, 15, -6, 9],\n [-3, -14, 9, 10, 16, 2, 11, -6, 9, -19, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62679", "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, -7, 16, -18, 22, 4, -24, -10, 20, -2],\n [-1, -13, -17, 4, -17, 14, -19, -10, 12, 6],\n [3, 17, 25, 14, 25, -11, -15, -17, -10, -1],\n [6, 19, -16, -16, 4, -6, 15, 8, -25, 6],\n [14, 5, 22, -15, 15, -7, 24, -19, 3, 16],\n [12, 10, 7, 10, 0, 3, 3, 9, -23, 20],\n [-21, 7, -15, -20, -24, -13, -25, 1, 14, 16],\n [-11, 9, 4, -20, 8, -5, 6, -6, 9, -17],\n [11, -20, -16, -17, 7, -10, 6, 12, 22, -6],\n [-6, -23, -12, -5, -18, 20, -2, 21, -5, 16],\n [6, -9, 14, 25, -22, 16, -3, 10, -4, -1]]\nB =\n[[-22, -16, -2, 9, 24, -12, -6, 20, -12, 13],\n [-17, 8, -6, -23, -14, 25, 22, 13, -14, 16],\n [-4, 9, 14, 5, -19, -17, 25, 11, -4, -17],\n [-10, -5, -17, -14, 1, 21, 24, -17, 1, 2],\n [9, 17, 12, 6, 15, -23, -17, -23, 25, 10],\n [-13, 23, 8, 4, -10, 7, 9, -10, 12, 14],\n [-21, -18, 7, 25, 4, -24, 12, 12, -6, -17],\n [-25, -24, -7, -10, 15, -21, 6, -6, 17, -12],\n [-13, 1, 9, 8, -10, 2, 17, 9, -11, -23],\n [1, 1, 25, -22, -5, -4, -21, 15, 13, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53788", "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, -13, 1, 24, -11, -14, -16, 23, 12, 2],\n [17, 9, 12, -6, -14, -23, -24, 2, -4, 9],\n [19, -17, -3, -9, -12, 6, 14, 10, 7, -16],\n [-13, 8, -21, -20, 7, -21, -2, 21, -18, -8],\n [-1, -8, 10, 0, -6, -6, 13, 14, -2, -6],\n [19, -22, -4, -1, -5, -8, 19, 20, -17, 18],\n [-17, 7, 15, -19, 7, -24, 24, -18, 7, 9],\n [3, 6, -25, 5, 9, 14, 18, 13, -6, 7],\n [-3, -23, -14, -18, 15, 21, -15, 0, -3, 12],\n [-21, 6, -21, 22, -11, 17, -3, 23, 2, -7]]\nB =\n[[-9, -11, -13, -3, -8, -3, -10, -6, -1, 6, -5],\n [-25, 2, 1, 1, 19, 10, -14, -11, -6, 18, -7],\n [25, 0, 21, -5, 11, 17, 24, -16, 2, 0, -13],\n [-1, 25, 5, -6, -11, -8, 14, -3, -23, -15, 1],\n [11, -14, 7, 2, -20, -20, 18, -5, -1, 21, 10],\n [-8, 18, 13, -21, -3, -3, -3, 9, 3, -21, -9],\n [12, -24, -7, 21, -23, 4, 7, -3, 0, 4, -7],\n [13, 0, 6, 16, 2, -17, 22, 5, -11, 6, -13],\n [-4, 14, -15, 7, -2, 14, 18, 25, -20, -10, 4],\n [4, -12, -19, -23, 5, -16, 7, 12, 11, -11, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49173", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-22, 11, 16, -22, -16, -4, 5, 10, -14, -17],\n [2, 8, -21, 4, -10, -7, -12, 21, 25, -2],\n [24, -15, -13, -16, 3, 13, 1, -25, 6, -8],\n [-22, -10, -8, -5, 25, 21, -1, -16, -19, -25],\n [7, 7, -7, -19, 21, 19, 15, -12, 12, -19],\n [20, 17, -23, -15, -18, 0, 12, -23, 3, -14],\n [-8, 17, -19, 4, 16, 22, -10, 21, 19, -1],\n [-22, -22, 12, 24, -25, 16, -23, 2, 20, -15],\n [11, -24, -17, -9, 6, 25, 5, -5, -9, 16],\n [-9, 17, 1, 2, 13, -25, -10, -23, -11, -22],\n [10, 4, 3, -3, -21, 21, -15, -7, -18, 17]]\nB =\n[[-15, -17, 20, -1, -1, -12, 5, -13, -25, 4, -17],\n [14, 3, 5, -8, -23, 9, -24, -22, 15, -11, 24],\n [-9, 0, 5, 4, -3, 4, -15, 7, 12, 20, -21],\n [9, 25, -25, -22, 22, 12, 11, -19, -16, 7, 25],\n [-12, 10, 21, 12, 4, 0, 5, 16, 21, -7, 14],\n [-13, -3, -7, -10, -1, 0, -5, -8, -17, -2, 21],\n [14, -9, 4, -22, 2, 15, 14, -17, 10, -18, -4],\n [-1, 23, -20, 0, 16, -24, 5, -14, -7, 11, 22],\n [11, -25, -16, 8, -10, 15, -19, -13, -22, 13, 5],\n [-16, -14, 8, 2, -21, 2, 21, -15, 8, -11, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "743", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-21, 22, -5, 5, 14, -19, 9, -5, 14, -21, -12],\n [8, -16, -8, -9, 12, 23, 6, -9, -4, -1, 25],\n [-10, 4, 8, -21, 18, 7, -21, 14, 16, -23, 12],\n [-13, -18, 4, 24, -21, 12, 5, -24, -19, -10, -16],\n [3, 4, -6, 16, 8, -18, 8, 8, 19, 10, -19],\n [-12, -6, 11, 7, 5, 7, 0, 0, 25, 12, -10],\n [-14, -25, 18, -6, 24, -24, 5, -8, 16, -16, -20],\n [-24, -10, -21, 12, -4, -4, -4, -25, 10, 23, -13],\n [-14, -13, 25, 22, -15, 24, -8, -4, -25, -22, -17],\n [-23, -18, -17, -8, -21, -4, 11, -21, -3, -10, -21],\n [11, 18, 13, -23, 0, -18, -5, -8, -21, -20, 1]]\nB =\n[[-4, -4, 12, 12, 17, 1, 19, 20, 23, 7, 16],\n [5, 2, 4, 8, 19, -9, 25, 9, 10, -20, 19],\n [3, -3, -12, -17, -11, 12, -1, -6, 17, -4, -19],\n [-8, -9, -12, 0, 14, 6, 3, 14, -19, -17, -14],\n [-23, 6, 7, -11, -17, 23, 18, -9, 2, 19, -13],\n [21, -5, 24, 21, 24, -21, -19, 12, 11, -7, 15],\n [6, 17, -23, 13, 9, 1, 12, 25, 22, -18, 25],\n [-7, 4, 22, 14, -16, 4, -17, 22, -4, 5, 20],\n [-16, 10, -16, 1, -11, -7, -15, 6, -6, 20, -11],\n [-22, -9, -25, -7, -21, -8, -9, 16, 15, -22, -7],\n [5, -23, 24, -23, 3, -18, -21, 5, 1, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77363", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 0, 5, -12, -1, 6, 13, 15, -12, 22, 22],\n [1, -4, 12, -19, 7, 17, 15, 7, -2, 0, 24],\n [16, 5, 1, -13, 5, 6, -3, 11, 14, 19, -10],\n [13, -18, -8, 1, -17, 2, -4, -15, -4, 23, -12],\n [-3, -24, -11, 24, -21, 3, 7, 22, 18, 4, 20],\n [-9, -25, -12, 21, 18, -9, -17, 9, 5, -14, 19],\n [-24, -11, 8, 11, 15, 4, -12, 19, -22, -18, -3],\n [-19, -9, -4, 12, 0, -18, -4, 14, 19, -4, 14],\n [-21, -17, -6, -4, 8, 9, 10, -7, 2, -19, 15],\n [12, -23, 6, 20, 19, 5, 19, -1, 7, 21, -21],\n [3, 5, 0, -5, 8, 11, 23, -25, -22, 21, 21]]\nB =\n[[-4, -10, 19, 20, 6, 8, -5, 1, 16, 11],\n [-23, 17, 19, 8, -19, 3, -23, 19, 12, 15],\n [-24, -14, -11, -10, -23, 1, 20, -3, 7, 22],\n [1, -2, 12, 1, 21, 5, -11, 9, 10, -2],\n [-9, 19, 8, -25, -6, -20, -21, 3, -20, 24],\n [7, 19, 12, 3, 18, -16, 6, -1, 2, 3],\n [25, 9, 21, 6, 20, 10, -19, -16, 20, 8],\n [7, 0, 22, 22, -13, 4, 6, 7, -20, 10],\n [-24, -19, 4, 20, 0, -1, 7, 16, -20, -18],\n [-17, -15, -2, -20, 14, -10, -9, -2, -19, 14],\n [14, 1, -16, -17, 25, -16, 23, 4, -17, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "733", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 9) when matrix A is multiplied by matrix B?\nA =\n[[0, 8, 9, 1, -6, -2, 1, 15, -7, -8, 24],\n [17, 15, -14, 14, -8, -18, 10, 12, -10, -13, 0],\n [22, 0, -5, 24, -5, -18, 7, -20, 24, -24, -18],\n [-20, -20, -4, -1, 20, 5, 9, 24, -21, -4, 22],\n [-1, -8, -17, -1, 3, 7, 17, -18, 14, -13, -18],\n [22, 24, 15, 18, 1, -23, 7, 5, 2, -5, 3],\n [3, -17, -4, -18, 19, -9, -3, 13, 4, -11, -12],\n [-1, -10, 23, 22, -8, 6, 20, 12, -11, 11, 23],\n [7, -13, -19, -7, -5, 11, -17, -22, 5, -19, -13],\n [14, 10, -18, 0, 1, 22, 0, 19, 16, -12, -6]]\nB =\n[[16, 19, 2, -18, -21, 25, -13, -24, 22, -12],\n [23, -23, -10, -17, 13, -24, -15, -2, 17, 3],\n [-12, 22, 14, -4, 21, 22, 8, 10, 7, 13],\n [17, -8, -4, -1, 11, -21, 6, 23, 10, -17],\n [-12, 6, -17, -3, 19, 22, 19, -17, -5, 18],\n [6, 18, -16, 3, 8, -4, -21, -15, 2, -2],\n [8, 16, 14, -16, 0, 17, 15, -19, 18, -19],\n [22, 25, 22, -11, 20, 19, -23, 19, 0, -19],\n [-24, -16, 4, 21, -23, 12, 3, -1, 20, -22],\n [21, -21, -20, -7, -8, 12, 10, -14, -2, 4],\n [-12, 13, -24, 8, -6, 10, -3, 9, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-982", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, 20, -18, 17, 25, 4, 21, -6, -6, -3, -6],\n [20, -3, -22, -16, 14, -21, 6, -8, -1, -9, -21],\n [9, 16, -5, 10, -7, -3, -21, 7, -22, 7, 21],\n [9, 16, 0, 11, -4, -15, 23, 0, 15, -13, -12],\n [15, 23, -19, -10, -6, 19, 20, 24, 17, 1, 8],\n [-4, 12, 11, -23, 1, -19, 9, 19, -3, -24, -2],\n [-24, 24, 10, -9, -15, -19, -24, -11, 20, 5, 20],\n [-20, 11, 20, 3, -22, 20, 11, -14, 1, -1, 19],\n [-14, -9, 24, -14, 5, -17, -7, 3, -1, -11, -17],\n [-13, 21, 18, 16, -23, -16, -8, -16, 10, 2, -23]]\nB =\n[[-6, -8, 23, 11, -6, -16, 8, -4, -5, 7, -10],\n [16, 9, 10, -25, -14, -13, -18, 25, 5, -21, 18],\n [25, 10, 21, -1, 19, -13, 9, 6, -18, -4, -20],\n [23, -15, -19, -11, -22, 14, 8, 17, 14, -4, 4],\n [-7, 11, 24, 12, 4, 6, -7, -1, 11, 19, -3],\n [-14, -17, 11, -9, 24, 9, 25, 21, 23, 15, 4],\n [-22, 15, -22, -2, -23, -17, -15, 6, 17, 14, 3],\n [8, 22, 8, -5, -1, -5, -6, -2, -21, 15, -24],\n [-17, 17, -18, 6, -19, 12, -6, 21, -11, 13, 2],\n [5, -4, 14, 23, 25, -2, 8, -17, -24, 19, -1],\n [-14, -22, 25, 14, -13, 3, 6, 1, 4, 20, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12804", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-25, -15, -3, 23, -9, -11, 1, -16, -10, 11, 2],\n [-24, 13, 9, -11, -15, 7, -10, -15, -6, -7, 13],\n [24, -3, -16, -18, -24, -19, 0, 14, -7, -20, 7],\n [-15, 10, -14, 2, -17, -3, 14, -20, 24, -7, -6],\n [-8, 1, 7, 3, -17, 19, 18, 24, 1, 13, -15],\n [24, 16, -18, -12, 20, -13, -19, -11, 12, 18, 17],\n [-8, 10, 5, -22, -13, 13, 4, -7, -22, -25, 14],\n [6, -14, -14, -6, -15, 23, 4, 23, 18, 5, 2],\n [18, 23, 3, 15, -4, 19, 23, 3, -25, -5, 5],\n [1, 9, -18, 14, -18, -20, -11, -5, 11, -20, 3],\n [-1, -3, 12, 1, 16, -3, -7, 2, 8, -19, 25]]\nB =\n[[-13, -22, -15, 24, -5, -5, 17, 19, 16, 0],\n [5, 23, -22, -23, 13, 22, -5, 12, -8, 7],\n [25, 16, 9, 6, -15, 13, 5, 4, 12, 20],\n [-6, 14, 0, -15, -24, 13, -9, -2, 4, 11],\n [-20, 23, -3, 21, 9, 24, 21, 0, -1, 10],\n [-5, 16, 17, -3, -25, -16, -1, -4, 21, -18],\n [15, 7, -14, 22, 13, -14, -14, -15, 22, -18],\n [25, -18, 11, 23, -10, 10, -8, 18, -5, -22],\n [24, -19, 8, 8, 19, 10, 11, 4, 0, -14],\n [-15, 3, -23, -15, -17, 0, -18, -5, -18, 16],\n [-20, -8, -20, -5, 18, 22, 22, -3, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66973", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 8) when matrix A is multiplied by matrix B?\nA =\n[[1, 19, -23, -14, -6, -7, -3, -21, 25, -7],\n [-14, 2, 11, 8, -10, -22, 21, 16, -20, -19],\n [8, -22, -11, -13, -17, 11, -9, 12, -12, 11],\n [5, -24, 20, -7, -7, -13, -5, 5, 18, 2],\n [-25, 9, -16, -18, -13, -7, -23, -23, 1, -8],\n [9, 18, 8, 4, -18, -5, 20, -7, 17, 22],\n [20, 14, 4, 1, -6, -12, -14, 23, -3, -14],\n [18, 18, 13, 16, 4, 22, 1, -2, -23, 4],\n [9, 7, 11, 14, 23, -10, 22, -8, -8, -12],\n [6, -14, 16, -24, 0, -3, 9, 7, 15, -1],\n [-22, -5, 22, -22, 5, 23, -11, -22, -22, 18]]\nB =\n[[-23, -21, -7, 12, 6, -17, -23, 8, -1, -16],\n [6, -21, 3, -19, -11, -24, -16, -15, 14, -5],\n [-14, -22, 2, 3, -13, 24, -8, 1, -23, 9],\n [13, -4, -9, 2, 12, -10, -21, -4, -9, -15],\n [-4, 18, 18, 10, 15, 20, 18, 16, 14, -23],\n [1, 19, 22, -13, -13, 25, 4, -8, 14, 7],\n [-9, 15, -16, 15, 18, -2, 16, 3, -18, 10],\n [-12, 3, -19, -1, 16, 4, 2, -16, 21, 21],\n [8, -10, -16, 3, -11, 2, 25, -2, 16, -6],\n [21, 3, -24, 20, 6, 21, 16, 4, -17, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-20, -18, 8, -25, -13, -20, 9, 3, -24, -16],\n [5, -18, 15, 13, 2, 5, -13, -19, 25, -25],\n [19, 23, 18, 0, 20, -10, -14, -10, 8, 1],\n [-1, -7, -19, -14, 20, -2, 24, 13, -21, -25],\n [-19, 22, 0, -2, 22, -9, -22, -10, 10, -21],\n [-21, 17, 20, -9, 15, -5, 4, 23, 25, 7],\n [19, -3, 16, 3, 16, 13, 12, -19, 11, -19],\n [-11, 3, -16, -6, 19, -17, -20, -6, -5, -19],\n [12, 22, 8, 21, -23, 19, -9, 25, 17, -24],\n [16, -14, -13, 12, 10, -14, 1, 0, 21, 25],\n [14, -21, 6, 10, 19, 12, -10, -16, 11, -11]]\nB =\n[[-15, -17, -8, 7, -17, 15, -11, 10, 10, -25, 2],\n [7, -25, -20, -15, 22, 1, -21, -16, 2, -10, 17],\n [0, 24, 2, -12, -13, -25, 9, -11, 3, 5, -14],\n [-21, 22, 20, 6, -16, -21, 1, 13, -5, -10, 3],\n [-11, 12, -19, -8, 25, -7, -9, -12, 15, 22, -16],\n [-1, 15, 18, -17, -10, 22, -2, -5, 8, 13, -19],\n [-19, 2, 25, 9, -16, 12, 6, 8, -2, 24, 15],\n [21, 20, 15, -24, 16, -22, -25, -4, -15, 22, -15],\n [19, -12, 1, 7, 2, -3, -17, -8, 17, -2, 1],\n [9, -22, -4, -15, -19, 15, 11, 8, -14, -22, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1405", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-24, 21, -25, -8, -3, 8, -22, 25, 16, 19, -7],\n [14, 16, 14, 25, 15, -17, -3, -13, -25, -14, -16],\n [1, -7, 14, 6, -4, -1, -15, -15, 0, -10, 3],\n [4, -15, -25, -20, -13, 1, 17, 9, 7, -12, 17],\n [20, -4, 16, -5, -24, -21, -11, 24, 22, -6, 0],\n [-2, 9, -2, 0, 15, 24, -4, 1, -7, 11, 10],\n [3, 14, 13, 17, -14, 18, -10, 22, 5, -11, 7],\n [-11, 6, -4, 24, -20, 4, 15, -9, 18, -24, -10],\n [21, -14, 21, 19, -14, 25, 22, 13, -9, 16, 15],\n [-20, 15, 0, -25, -10, 20, 14, 21, -10, 20, -10]]\nB =\n[[13, 3, 24, 23, 0, 4, 7, 17, -6, 11, -13],\n [-18, 6, -8, 19, 15, -15, 12, 17, 21, -12, 14],\n [24, 7, 15, -3, -19, -11, -11, -17, -5, 11, 13],\n [2, 18, -20, -16, -11, -2, -22, 21, 24, 9, -11],\n [11, -24, 21, 14, 2, -21, -3, -17, -19, -22, -7],\n [-18, 5, -12, 3, -17, 11, -20, 16, 2, 19, -16],\n [19, -23, -14, 10, -15, -17, -20, -14, 20, 15, -18],\n [15, -13, 17, -17, -6, 14, -16, 15, 1, -22, -16],\n [23, -7, -16, 24, 22, -3, 10, 15, -17, -24, -7],\n [-18, 0, 25, 10, -15, -23, 4, -8, -9, 25, -17],\n [4, -10, -18, 15, 0, -21, -21, 20, -2, -12, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3123", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 5) of the product of the following matrices:\nA =\n[[10, -1, -9, -20, -19, 20, -11, -20, 6, 16],\n [14, 1, 14, -21, -10, -15, 13, -1, -24, 2],\n [-19, 12, 25, 24, -25, -8, -14, 23, -18, -6],\n [9, 16, -10, 24, 7, 14, -1, -7, 9, -10],\n [-10, 22, -1, 6, 18, 2, -17, -8, -3, 4],\n [6, -2, -15, 0, -15, -6, 18, -8, 8, 10],\n [-22, -5, 0, -12, 0, -13, 0, 15, -11, 1],\n [-3, -4, -16, -21, -22, 24, 10, -10, 6, -15],\n [13, 7, 9, 22, -22, -3, -23, -6, -25, 7],\n [-16, 18, -23, 6, 19, 12, 5, -5, -2, -2]]\nB =\n[[-16, -20, 2, -25, 21, 20, 18, -16, 15, 4],\n [-11, -12, -2, -16, 0, -25, -6, 3, 8, -24],\n [-24, -24, -18, -1, -8, 19, -9, 4, -18, 16],\n [20, 3, 25, -7, 11, -2, -8, -16, -10, 24],\n [15, 16, 18, -21, -11, -3, 5, 4, -19, -6],\n [13, -23, -23, 5, -19, -25, 1, 24, -25, -20],\n [-6, 13, 18, -23, -24, 21, 6, -6, 10, 1],\n [-6, -7, -5, 17, -6, -21, -6, -14, 22, -16],\n [-4, 12, 2, -14, 13, -16, 22, 9, 22, 18],\n [14, 11, -9, 1, 20, 3, 0, -17, 25, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 11) of the result:\nA =\n[[17, 0, 7, 6, -15, 3, -18, -1, -6, -5, -22],\n [10, 17, 3, -7, 0, 10, -1, -3, 12, 2, 15],\n [-15, 3, 18, 24, -6, -17, -2, 21, 23, 15, -13],\n [-24, -9, 24, 1, 12, -24, 7, -21, -12, 1, 24],\n [10, 1, -12, -11, 1, -18, -5, 8, 23, 2, -2],\n [-9, -20, 12, -7, -25, 12, 0, -21, -22, -1, 19],\n [23, 19, -4, 22, -13, -3, 7, -1, -16, -8, 1],\n [23, 0, 23, 16, -24, -16, -6, 12, -23, -16, 2],\n [-7, -9, 18, 18, -3, 2, 1, 6, 12, -14, -6],\n [-20, -23, -23, -3, -17, 7, 10, -14, 0, 11, 24],\n [22, -16, 18, -15, -7, -21, -2, 9, 2, 4, -7]]\nB =\n[[-20, 23, 19, 13, -7, 25, 5, 18, -15, -9, -9],\n [24, -11, -20, 6, 14, -15, -13, -9, 2, 23, -8],\n [2, 22, -10, 10, 23, 14, -6, 13, 1, 14, 7],\n [-24, -13, -24, 11, -21, -20, 24, 6, 22, -2, -9],\n [-17, 14, 14, -24, -17, -20, -7, 7, -7, 7, 19],\n [4, 13, -13, -8, -24, -23, -20, 2, -13, -6, 6],\n [5, -17, -23, 5, -11, -22, 23, -9, 19, 5, 3],\n [-15, 6, 14, -23, 24, -25, -18, 15, -9, -18, 17],\n [7, 0, -24, 21, 23, 3, -11, 4, 24, 18, 20],\n [-14, -24, -5, 3, 3, -10, 25, 5, 7, -24, 18],\n [-22, 13, 23, -21, -24, 19, -18, 24, 10, -20, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-16, 10, -22, 13, -12, -14, 21, -9, -5, -13, 7],\n [-13, 22, 19, -17, 24, 22, -6, 18, 14, -25, -13],\n [-4, 25, -13, 9, -25, 20, 7, -21, 4, -21, 17],\n [-1, 0, -7, -14, -18, -16, -8, 15, -15, 4, -21],\n [-2, 19, -13, 10, 23, 1, 6, -12, 15, -24, -22],\n [-15, 16, 11, 22, 12, 11, -13, -17, 16, 1, -24],\n [21, 1, -14, -14, -23, 0, -11, 1, 25, 19, 9],\n [-13, -21, 17, -9, -7, -6, -3, -14, 6, 3, -21],\n [23, 25, 17, -24, -20, -5, 9, -11, -8, 23, 21],\n [-24, -21, 11, 15, -20, 25, 16, 25, -7, -10, -14]]\nB =\n[[-2, -17, -23, -9, 4, 1, -2, 16, 24, 13],\n [-19, -17, -10, -15, -17, -25, 18, 9, -6, 25],\n [-18, -19, 11, 11, -6, -21, -14, -5, -6, -21],\n [-3, -19, -25, -1, -7, -24, -14, 16, -1, 6],\n [22, 17, -8, 5, 18, -17, -5, 13, -19, -13],\n [-6, -13, 2, 11, -1, 20, 22, 19, 0, 18],\n [7, 14, 14, 1, -11, -23, 3, 5, 14, -8],\n [-2, 13, 18, 21, -18, 3, 22, 11, 11, -17],\n [19, 4, -11, 14, -14, 15, 1, 21, 21, 5],\n [-13, -11, -21, 16, -1, -14, 23, -17, 0, 11],\n [-17, -21, 20, -19, 15, 5, 18, 11, -19, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -15, 11, 10, 1, -25, -25, -12, 2, 15, -25],\n [-18, 19, 15, 21, 17, 0, 10, 3, 14, 19, 23],\n [-22, 16, -24, 4, 21, -6, 4, -8, 4, 20, 9],\n [-25, -23, -3, 19, 14, -4, 23, 22, 22, 18, 25],\n [22, -11, 15, -10, 1, 6, 8, 16, -14, -8, -8],\n [-22, 8, 13, -7, 17, 19, 5, 23, 5, 16, 22],\n [-6, 22, -6, 6, -6, -10, -7, 5, -13, -6, 17],\n [-14, 23, 21, 0, 9, 15, -16, -14, -2, -17, -21],\n [5, 8, 19, -15, -17, -4, 14, 21, 2, -10, -16],\n [8, -11, -8, 19, 5, -21, 25, 7, 3, -23, -3]]\nB =\n[[-16, 21, 6, 22, 1, 10, -2, -6, -23, -21],\n [-23, 14, -20, -11, -20, -3, 4, 13, 14, 22],\n [-5, 19, 11, -4, -24, -12, -8, 24, 24, -11],\n [11, -24, 17, -6, -16, -21, 6, -24, 18, 23],\n [-21, -5, -8, 22, 14, -22, 6, 10, -22, -9],\n [16, 7, -4, -8, 1, -11, -1, -16, -10, -22],\n [5, 6, -2, -8, 6, 2, -15, -18, -25, -24],\n [-5, 23, -7, 16, 4, 14, -1, -17, 16, 2],\n [11, 6, 15, -15, 24, -5, -2, -25, -10, -2],\n [-16, 6, 2, 24, 7, 12, -4, -25, 9, 19],\n [-14, 20, -1, 2, -9, -10, 6, 19, -22, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56099", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[15, 23, -15, -6, 0, -19, 5, -19, -22, -18, 25],\n [-12, -4, -3, -1, 10, 23, 0, -2, -8, -5, 21],\n [-21, -11, 5, 0, -22, -22, 18, 24, -7, 0, 24],\n [7, -22, 21, 12, -2, 5, 8, 8, -24, 17, -18],\n [23, -5, -14, 10, -25, 16, 13, -10, 23, -20, 7],\n [17, -13, 19, -17, 9, 2, 8, 6, -25, 13, -1],\n [-16, -24, -22, -1, -10, 14, 18, -21, -3, -6, -23],\n [-25, 20, 25, -1, -10, 15, -21, 10, -20, -14, 20],\n [-3, 20, 12, -21, -24, -23, 15, -19, 0, -14, 24],\n [19, -25, -25, 7, 13, -17, -25, -11, -1, 18, 10]]\nB =\n[[-16, 24, 5, 25, -6, -21, 2, 8, 13, 12, -10],\n [-11, 15, 13, 16, 0, 4, -24, -23, -7, -2, -23],\n [14, -21, 6, 5, -14, 17, 10, 10, 5, 7, -19],\n [0, 0, -6, 8, 7, -7, -9, 17, 11, -20, -4],\n [12, -9, -6, 16, 16, 15, 0, 2, 24, 19, -18],\n [17, -19, -19, 3, -23, -10, -13, 24, -8, 18, -13],\n [5, -23, 4, -23, 0, -24, 13, 8, 12, -13, -15],\n [11, -19, 17, 1, -19, -18, 10, 16, 3, -5, 0],\n [-6, 3, -11, -3, -11, 25, -16, -24, 22, 4, 11],\n [1, -9, -23, -18, 17, 11, 23, -22, -2, 3, -18],\n [8, 22, -17, -9, -16, -2, 19, -4, -9, 5, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70097", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 8) of the product matrix AB given:\nA =\n[[-17, -11, 16, 25, 4, -9, -19, 20, 19, 0],\n [-24, 22, 3, 23, -20, 7, 12, -25, -16, 5],\n [-2, -18, 2, 2, 22, 18, 25, 20, -18, 3],\n [-7, 3, -11, 5, -21, 23, 2, 20, -11, -18],\n [10, 6, 13, 13, -4, -21, -16, 5, 11, -3],\n [6, -2, -22, 17, 12, -11, -15, -1, 0, 13],\n [25, 11, 10, 7, 22, 18, -6, 24, 8, 19],\n [-14, 10, -22, -13, -23, -9, -19, 19, 21, -12],\n [6, 22, 23, 0, 5, 22, 5, -10, -25, 20],\n [8, 0, 4, 15, 25, -21, -2, -16, 12, 9]]\nB =\n[[-24, 3, -7, 12, 16, 24, -12, 2, 8, -22, 21],\n [-1, -20, 2, 12, -17, -8, 5, -4, -22, 7, 10],\n [9, -13, -11, 7, 2, 22, 8, 12, -25, 5, 23],\n [-9, -4, 6, 3, -25, 22, 2, 15, -24, -1, -5],\n [11, 0, 14, -25, 6, -17, 20, 23, -21, 14, -9],\n [3, 18, -7, 14, 3, 25, -14, -18, 17, 17, 5],\n [-11, 8, 0, 9, 3, 7, 7, 10, -5, 4, -7],\n [6, 24, -25, 25, 7, 0, 16, 19, 1, 25, 2],\n [-6, -18, 0, 5, -21, -15, -5, -18, 0, 20, -14],\n [17, -13, -16, 3, -18, 16, 12, -25, -17, -22, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "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, -5, -19, 6, 13, 2, 0, 11, 8, -17],\n [-20, -4, -17, 21, 19, -11, -25, 6, 21, -8],\n [-15, 9, 7, -22, 8, 22, -7, 22, -14, 14],\n [10, 22, 15, -4, 21, -14, 23, 2, -11, -22],\n [-18, 5, 0, -23, 13, -19, -11, -6, -9, 6],\n [-16, -10, 22, 0, -4, -11, -14, 13, -23, -2],\n [-24, -22, -3, -3, -18, 16, 18, -14, -17, -15],\n [19, 5, -25, 9, 17, -11, -19, 2, 22, -20],\n [-6, -2, 16, 10, 12, -14, -23, 2, -14, -10],\n [18, -11, 5, -5, -8, 22, -20, -9, -3, 9],\n [-8, -15, -3, -9, -20, -2, 24, 11, -10, 3]]\nB =\n[[3, 16, 2, -10, -23, 16, -2, -8, 22, -9],\n [23, -16, 11, -1, 10, 21, 22, -3, 24, -7],\n [-16, -15, 15, -21, -20, -23, 19, 12, -15, 22],\n [17, 16, 22, -2, 20, 22, 0, 23, 0, -2],\n [14, -22, 23, -16, 8, 18, 3, 0, -7, -5],\n [-7, 14, 12, -7, -8, -12, 9, -8, 2, -7],\n [-1, -11, 22, 23, -23, -3, 24, 19, -14, 6],\n [25, 2, 8, -25, -16, 24, 1, -14, 19, 10],\n [7, -22, -5, -6, 24, -9, 20, 8, -12, -16],\n [-6, 9, -11, 13, 1, -11, -7, 0, -14, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64574", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 7, -21, -17, 14, -12, 20, 10, -1, -19, 8],\n [17, -19, 5, 6, -5, 23, -11, 4, -22, 8, -17],\n [-14, 4, -2, 25, 3, 25, -4, 9, -6, 11, 15],\n [25, -17, -4, 24, -10, -24, 18, 24, -3, 3, -15],\n [9, -4, -23, 21, -14, -25, 17, 0, 8, 3, 20],\n [7, 6, -1, 24, 24, 21, 10, -24, -11, -13, 16],\n [-11, -20, -5, 16, 0, 9, 19, -8, -20, -12, -8],\n [17, -6, -11, 19, 22, 1, -2, -14, -25, -12, 6],\n [-23, -16, 0, 5, -16, -25, 24, 23, 6, -7, -25],\n [0, -21, 0, 12, -25, 4, 23, -14, 10, 10, -2]]\nB =\n[[16, -1, -18, -14, 1, -14, 6, 9, -10, 10],\n [4, 11, 6, -11, -5, 14, 3, 4, -1, -6],\n [-16, 5, -25, -16, -8, 23, 10, -13, 6, -4],\n [-20, 7, -25, -23, -21, 24, 1, -14, 7, 15],\n [1, 23, -13, 20, -15, -15, 10, 15, 24, 25],\n [-22, 18, -8, -8, 2, -20, 17, -21, 22, -15],\n [-21, -17, -3, -15, -11, -1, -9, 24, 0, -12],\n [13, 22, -17, 1, 9, 1, -10, -4, 4, 0],\n [13, 13, 7, 14, -25, -14, -9, -1, 3, 16],\n [2, -7, 15, -16, -15, -16, 4, 23, -19, -21],\n [2, -6, 6, -14, -21, 4, 7, -16, 13, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58894", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 9) of the product of the following matrices:\nA =\n[[-14, -24, 4, 15, -21, 11, -12, 25, 0, 24, -18],\n [5, -23, 2, -12, -15, 3, 14, -14, 17, -17, 10],\n [-7, -19, -9, 22, 25, -3, -14, -19, -1, -12, 5],\n [-1, -15, -15, -19, 17, -23, -11, -23, 15, -9, 23],\n [18, -19, -15, 20, -6, -25, 6, 12, -5, 5, -9],\n [-1, 15, 7, -14, 2, 23, 0, 10, -18, 6, 25],\n [25, 0, -21, 17, 12, -13, -7, -20, 19, -20, -10],\n [3, -8, 6, 3, 17, -9, 16, 22, -21, 6, 3],\n [3, 16, -23, 25, -22, 18, -1, -4, 16, -15, -18],\n [1, 18, 20, -4, -23, 1, -15, 1, -19, 1, 21],\n [-15, -1, 13, 25, -10, -5, 0, 1, 25, 19, -9]]\nB =\n[[5, -12, -3, -24, 0, 0, -4, 16, 2, -20, 22],\n [13, -7, -5, 16, -6, 5, 1, -11, 18, 5, -17],\n [24, -9, -7, 6, -16, 14, -21, -13, 1, -24, -25],\n [-18, -16, 2, -21, 24, -24, 15, 22, -9, 22, 7],\n [-1, -21, 2, 25, -8, -3, 9, -8, -15, 17, 17],\n [-16, -16, 10, -17, 16, -13, -3, -25, -10, -7, -14],\n [-21, -21, -19, 18, -12, 7, -20, -8, -20, 25, 4],\n [-14, 24, 9, -15, -22, -13, -25, 12, 3, -12, -5],\n [15, 5, 15, -19, -11, 16, -17, 3, -2, -11, -5],\n [15, -2, -19, -2, -3, -1, -18, 8, 9, -4, 8],\n [2, -25, 18, 11, 4, 24, -1, 25, -24, 2, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-339", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -3, 12, -2, 9, -18, 10, -8, -6, -22, -18],\n [0, 13, -6, -8, 7, -8, 8, -7, 16, 7, -5],\n [-19, -12, 7, -22, 17, -24, 14, 24, 5, 23, 20],\n [4, 24, -16, -5, 24, -3, 11, -18, -16, -1, 7],\n [-9, 25, -2, 23, 16, 24, 4, -25, -9, 2, -13],\n [-16, -25, -6, -19, 6, -5, 0, 19, -19, 12, 19],\n [14, 22, 15, 19, 1, 8, -14, -14, -11, -6, -16],\n [20, 0, -9, -16, -15, -9, -15, -11, -22, -1, 10],\n [21, 5, 20, 3, 5, -17, 22, -25, -23, -22, -7],\n [15, -4, 25, -18, -1, -22, 19, 25, -12, -21, 24],\n [24, 3, -5, -11, -3, -9, -23, 7, 24, 1, -10]]\nB =\n[[-20, 15, -16, 3, -9, 13, 20, -12, -14, 12],\n [3, -12, -18, 23, 14, 14, -9, 17, 13, -3],\n [-19, -14, -10, -13, 21, -7, -23, 17, -18, 14],\n [-14, 5, 9, -6, 2, -24, 1, -23, 22, -5],\n [25, -19, 25, 7, 19, 20, 7, 10, -9, -20],\n [-5, 12, 8, 23, 22, -14, -14, -8, 22, -20],\n [-13, 5, -1, 22, -2, 16, -15, 7, -5, 13],\n [-2, 23, 18, -6, 21, -17, 5, 2, 12, -21],\n [11, 15, 8, -16, 6, 11, -9, 10, 10, -13],\n [-6, 25, 12, -7, -4, -10, -20, -15, -16, 5],\n [-8, 6, 15, 16, 21, -2, 20, -10, 3, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2958", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 14, -1, 14, 19, -7, -16, -25, 1, -4],\n [2, 22, 9, -23, 12, 0, 18, -21, 22, 23],\n [-16, -19, 4, -1, 16, 8, 21, -5, 3, -9],\n [10, 14, 25, -5, 8, -10, 20, 18, -17, 18],\n [-23, -3, -13, 12, 8, 4, 13, 0, 6, -6],\n [20, 12, -17, 13, 25, -10, 19, 12, -22, -14],\n [0, -16, -10, -25, -14, 25, -4, 3, -7, 4],\n [2, -5, -8, 15, -2, 0, 10, 17, -10, 6],\n [-24, -17, -8, 23, 23, 20, 19, -7, 12, -14],\n [-13, 9, 22, -16, -4, -16, 24, 9, 19, -10],\n [10, -15, -9, -1, -25, -14, -23, 25, -17, -7]]\nB =\n[[-7, 24, -6, -15, -2, -4, -25, 18, 17, -16],\n [-15, -18, -9, -20, -19, 5, 11, -22, -19, -10],\n [-1, 10, 9, -12, 10, -17, -15, -25, -17, -1],\n [14, -11, -2, -18, 3, -19, 20, -8, -23, 21],\n [-2, -6, 5, 0, 12, 21, 20, 17, -18, 6],\n [-18, -21, -10, 1, 13, -25, -21, -23, 19, -9],\n [7, -7, -22, -13, 25, 24, 17, 0, 15, 5],\n [9, -10, -2, 4, -9, -13, 12, -19, -17, -5],\n [4, 11, 11, -4, 21, 5, -22, -16, 4, 4],\n [15, -19, -11, -7, -16, 13, 1, -23, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9107", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, -13, 18, -9, -9, -15, -9, 23, -7, -19],\n [-7, 8, 3, 4, 16, 3, 12, 22, -18, -22],\n [2, -15, -8, -5, 21, 22, 14, 6, -9, 8],\n [-9, -11, -6, 13, -15, -7, 6, -2, -20, -8],\n [15, 22, -13, 0, -18, 0, 23, -12, 15, -20],\n [-10, 9, 8, 14, 1, 10, -14, -25, 3, -9],\n [-8, 23, -10, 9, -17, 18, 13, 12, 17, -20],\n [0, -9, -2, -16, 6, -23, -7, 9, 1, -1],\n [-5, -24, -6, -3, 7, 24, -18, 25, 11, 16],\n [4, 5, 15, -8, 5, 0, -2, 25, -21, -15],\n [-2, -25, -14, 12, -3, 18, -1, -14, -23, -2]]\nB =\n[[0, -11, 5, 17, 16, -5, -5, -5, 22, -1, -14],\n [22, 11, -8, -16, -20, 3, 3, 3, 20, 20, -17],\n [6, 22, -13, 20, -15, 8, 3, 25, -14, 23, 5],\n [15, -4, 0, 17, -14, 9, 23, 12, -22, 19, 23],\n [-16, -8, 20, 22, -7, -11, -3, -3, -5, 0, 19],\n [8, 15, -13, -1, 18, 7, 2, -13, 1, -18, 10],\n [17, -20, -13, -6, -21, 19, 1, 23, 25, -7, -25],\n [-22, -24, 18, 0, 7, 18, 19, 12, -19, 3, -21],\n [-17, -13, 20, 14, 22, 20, 3, -8, 4, -16, -7],\n [22, -17, -5, -25, 15, 0, -12, 13, 3, 17, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-944", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, 16, 25, -24, -24, -10, -14, 14, 0],\n [-16, -11, 22, -1, -22, 0, -3, 11, 23, 16],\n [-22, -25, -25, 13, -23, 22, 22, -11, 17, -8],\n [-5, -18, -1, 6, -20, 24, 14, -6, 23, 3],\n [-21, 9, -7, 13, -14, 7, 9, 16, 12, 22],\n [20, -18, 12, 5, -15, -22, 14, -21, 16, -4],\n [18, -9, -6, 17, -14, 18, -9, 1, -3, -21],\n [23, 2, 11, 4, 19, 3, -12, -18, 20, 1],\n [-20, -19, 0, 16, 4, -9, -20, -23, -7, -7],\n [-2, 2, 9, 9, -21, 12, -20, 3, -3, 19],\n [25, 11, 6, -25, 23, 8, 18, 2, 24, -19]]\nB =\n[[11, 3, -7, 22, 18, -7, 25, -6, -11, -2, 15],\n [-18, 25, -19, -7, 2, -14, 0, 9, -22, 8, -19],\n [1, -23, 7, -14, -7, -9, -8, -23, -13, 6, -21],\n [-1, -4, 25, 25, -18, -10, 6, -21, 10, -1, -10],\n [-2, -12, -13, -3, -1, 1, -18, -8, 11, -20, -20],\n [-1, -6, -3, -9, 6, -10, 11, -6, -23, -25, 11],\n [9, -10, 22, -22, -23, 18, -9, 18, 16, 8, 16],\n [8, -9, -2, 11, -24, -12, -16, -11, 11, 20, -8],\n [19, -13, 9, 10, 11, -16, 3, 8, -2, 1, -17],\n [-17, -16, -14, -11, -23, 2, -17, 13, 4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10848", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 10, 4, 20, 11, -10, 2, -6, -12, 19],\n [3, 20, 11, -7, -9, -25, 3, 3, -2, -7],\n [17, -16, 10, -9, -9, 6, -10, 25, 20, -3],\n [-10, 6, -24, 14, -20, -16, 8, 4, 25, 10],\n [-20, 19, 7, -21, 2, -19, 20, -7, 17, 24],\n [24, 0, 12, 12, 13, -9, -7, 1, 11, -19],\n [12, -9, 3, 25, 18, 13, 18, -9, -11, -10],\n [7, -15, 7, 6, 19, 2, -6, 23, 3, -10],\n [4, -9, -12, -2, 11, -13, -8, -19, 23, -15],\n [-9, -7, -20, -8, -16, -25, -25, 21, 12, 1],\n [-1, 0, 13, -16, 10, 20, -18, 7, 3, 8]]\nB =\n[[1, 25, 16, -22, 23, 22, -21, 16, -15, -25, -13],\n [-6, 8, 7, -12, -14, -15, -25, 20, -18, -8, -21],\n [5, -23, -4, -20, -2, 1, -5, 11, 8, 9, 10],\n [0, -25, 22, -7, 0, -3, 14, 8, 1, -23, 20],\n [13, -13, 13, -10, -23, 0, -21, -23, 2, 21, 17],\n [4, -3, -8, -21, -4, 19, -25, 1, -12, 15, -17],\n [-22, -1, 5, 6, -24, 22, 11, 24, -24, -12, -11],\n [-1, -16, 2, 22, -18, -12, -6, 16, -13, -7, 8],\n [0, 11, 20, -2, -5, -2, -18, 7, -21, -1, 17],\n [14, -9, -1, 16, 20, 7, -21, -11, 16, -11, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "917", "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, -8, -20, 8, -24, -9, -21, -6, -12, -14, -22],\n [15, 24, -16, 13, 4, 11, 21, 0, 19, 20, -22],\n [-20, -11, 19, 19, -8, -9, 7, 10, 17, -1, 25],\n [2, -13, 6, 22, -7, 5, -11, 18, -3, 14, 1],\n [-25, -4, -18, -21, -2, 7, -14, -22, -11, -17, 16],\n [-13, -16, 16, -12, 25, 25, -25, 1, -4, -4, 0],\n [-2, 4, 14, -9, -3, -16, 7, -18, -21, 8, 25],\n [1, 5, -1, -24, -6, 17, -23, 15, 14, 12, 20],\n [14, -11, 1, -2, 9, -3, -18, -4, -10, -20, 13],\n [19, 3, 0, -17, -7, -19, 22, -1, -2, 13, 21],\n [11, 8, 3, 8, -6, -21, 18, 10, 4, 24, -6]]\nB =\n[[-15, -5, -6, -20, 19, 0, -3, -21, -1, 3],\n [-22, 1, -16, 8, 1, -18, 9, 2, -17, 8],\n [4, -9, 7, 3, 23, 11, -13, 3, 14, 13],\n [-12, -18, 6, -15, 9, -21, 24, 11, 19, -21],\n [-24, 0, 4, -13, 12, 23, 14, 1, -9, 25],\n [-11, 7, 4, 6, 24, -19, 13, -10, -15, 11],\n [-12, -3, 5, 2, 16, -21, -2, 25, -8, -22],\n [-3, -17, 25, -15, 9, -15, -19, -9, -8, 0],\n [21, 23, 0, -9, -16, 4, -11, 22, 21, 0],\n [15, 2, -7, -25, 8, 12, -2, 15, -2, -8],\n [-25, -16, -22, -12, -5, 0, 12, -21, -11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57235", "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, 9, -9, 6, -17, 5, 15, -11, 24, -23],\n [14, 9, 25, -13, -4, 22, -19, -6, 11, 0],\n [-7, 4, 8, 9, 2, 9, 8, 22, 23, -10],\n [22, 25, 6, -9, -2, -21, -14, -4, -14, 3],\n [13, 13, 10, -20, 22, -18, -20, 4, -7, 4],\n [-1, -16, 22, -24, 20, 17, -2, 2, 8, -23],\n [0, -4, 6, 17, 10, -12, 11, -23, 2, 0],\n [14, -16, 18, 0, 14, -3, -19, 8, -14, -4],\n [-15, -17, -21, -20, -19, 20, -8, -11, -25, 22],\n [-11, -17, -19, 18, -17, 18, -15, -23, -13, -21]]\nB =\n[[6, -4, 24, 17, 0, -23, 15, -18, -2, 14],\n [-13, -15, 12, 19, 17, -12, 20, 25, -21, 21],\n [-13, -2, -10, 3, -7, -9, 5, 22, 3, 6],\n [20, -9, -19, 12, -21, -2, 7, 22, -3, -12],\n [8, -22, -25, -24, 3, -17, 2, 7, -3, -6],\n [5, 22, 20, 19, 0, 5, 6, 25, 21, 24],\n [9, -11, -11, 11, 19, -1, -6, 22, -4, -6],\n [-11, 4, -12, 15, -5, 24, -9, -21, -11, 17],\n [1, 18, 13, -6, 15, 9, -9, -17, 17, 20],\n [16, -22, -10, -10, 3, 18, 6, 6, 12, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, 12, 13, 15, -10, 19, -11, -8, -22, 11],\n [14, -22, -9, -9, 8, 22, -7, -4, 13, 17],\n [-25, -8, 13, 2, -13, 9, -17, -9, 8, -11],\n [-17, 13, -7, -15, -2, -5, -8, 0, 23, -22],\n [-24, -9, -25, -13, -16, -9, -5, 23, 17, -17],\n [5, 9, -16, 23, 22, 22, -11, 19, -24, 12],\n [-23, 0, 7, 23, -2, 7, 4, 17, -22, 17],\n [19, -4, 23, -6, 3, -5, 19, -9, -24, 8],\n [-4, 24, -20, -1, -24, 17, -9, -17, -6, 11],\n [-11, 0, -1, 5, 4, 23, -16, 12, 19, -5]]\nB =\n[[22, -2, 8, 2, 11, -2, 3, -9, 13, -2, -9],\n [11, -20, 16, 11, 20, 5, -6, 20, -24, 15, -8],\n [24, -4, 15, 11, 0, 24, -14, -20, -9, -12, -16],\n [0, 25, -23, 16, 20, -11, -10, 12, -12, 10, -13],\n [1, -18, -3, 15, -15, -21, -21, -1, -8, 22, 25],\n [-2, -17, 17, -15, -12, 16, -17, -21, 1, -15, 2],\n [-17, -13, -7, -18, -22, 18, -1, -19, 1, 14, 25],\n [-3, 14, 25, 3, 10, -16, 6, 21, -3, 14, 21],\n [22, -2, -5, 13, 14, 3, 19, 19, 1, 8, 0],\n [-11, -20, -1, -8, -19, -24, 8, -25, 20, -24, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5359", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -22, 2, -3, 13, -6, 11, 18, -14, 6],\n [12, 5, -8, 3, 8, 25, 3, 1, 5, 22],\n [8, -9, -6, 5, 5, 13, -5, -19, 6, -14],\n [-3, 17, 23, 17, 14, -20, 6, 12, -11, 0],\n [-6, -14, 15, 19, 21, 21, 0, 4, 3, 4],\n [-13, 15, 17, -4, 17, 15, -9, -3, -1, -20],\n [11, 0, -5, 9, -20, -4, -9, -15, -22, 18],\n [-16, -9, 12, -8, -7, -4, -11, 18, -7, -1],\n [11, -8, -14, 6, 0, 0, 21, 16, 2, -1],\n [4, 25, 15, 12, -12, -25, 7, -15, 9, -5],\n [-4, -21, 14, -8, 11, 18, 3, -8, -14, -5]]\nB =\n[[14, 4, 15, -11, 9, 21, 2, -22, 2, 4, 22],\n [25, 24, 1, -10, 6, -14, 18, 10, -11, -7, -8],\n [0, -15, 4, 2, -3, -11, 22, -15, 17, -5, 19],\n [13, 5, -11, -9, -1, -2, 19, 10, 7, 18, -22],\n [-25, 12, -15, -5, -1, 24, 2, 24, -20, 20, -20],\n [-4, -11, 7, -9, -14, 5, 9, 8, 6, -3, 12],\n [-21, 14, -24, 5, -14, 13, 20, 16, -6, -12, -15],\n [5, 25, 7, 0, -24, 5, 9, 1, -21, -15, 25],\n [13, 2, -10, 14, 0, -2, -22, -14, -8, -12, -9],\n [18, 15, -10, 16, -6, 17, 2, 15, -25, -10, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2054", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 3, -18, -24, 20, -2, 15, 20, -12, 18],\n [17, -25, 7, -15, -6, -11, 2, -5, -3, -17],\n [-6, -9, 16, -11, 18, -21, 20, 16, 7, 4],\n [-10, 10, 11, 15, 23, 12, -2, -1, 1, -21],\n [24, 23, -5, 17, 9, -20, -17, 19, 1, -25],\n [4, -11, 6, -6, -22, 8, 22, 12, -6, 21],\n [25, 2, 13, -1, -15, 24, -18, 8, 1, 18],\n [-4, -18, 7, 13, -17, -4, -17, 5, 8, -22],\n [20, -12, -18, 15, 9, -4, 25, -20, 7, -8],\n [-18, -19, 6, -19, -16, 10, 24, 25, 5, 5]]\nB =\n[[-16, -6, 25, 9, 3, 4, 23, 5, 7, 14, 23],\n [-22, 8, -9, 8, 6, 7, 11, 5, 0, 5, 5],\n [2, 12, 18, -16, -18, 20, 10, -7, 2, -21, -2],\n [-19, -6, -24, 17, -16, -8, 8, -12, -16, 12, 6],\n [-23, 22, -18, -17, -15, -10, 8, -2, 5, -21, 7],\n [4, 4, -11, 13, -10, 0, -14, -7, 21, 9, -6],\n [-5, 11, -11, 23, -10, -10, -3, 18, -22, 3, 11],\n [-2, -18, 18, -21, 17, 3, 25, -16, 24, 18, -17],\n [-4, -16, -6, -6, 25, 1, 12, -16, -7, 15, 4],\n [-10, 14, -14, -21, 17, 25, -23, -2, 0, 5, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7059", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 7) of the product of the following matrices:\nA =\n[[-23, -25, -15, 19, -21, -19, 7, -13, 16, 5, 24],\n [-13, -25, 23, 18, 12, 13, 7, 16, 9, 13, 16],\n [16, -17, -20, 15, -17, 1, 16, 3, -22, -1, -10],\n [8, -15, -17, 9, 1, 13, 19, 19, 25, 2, 17],\n [-21, -10, 2, -24, 16, -16, -7, -6, 12, 22, 19],\n [25, 9, 15, -16, 22, 24, 10, -10, 24, 0, 5],\n [16, -25, -3, 16, 23, 1, -7, -10, 12, -18, -10],\n [-14, -17, 22, -19, 14, 11, -3, 15, -18, -3, -6],\n [22, -15, -25, 23, 18, -21, -12, -19, -2, 13, -22],\n [21, 1, -19, -2, -17, -25, 8, 14, 5, 13, -3]]\nB =\n[[-23, 13, -6, 22, 0, 8, 6, 7, 14, -21, -16],\n [10, 4, -17, 20, 6, -5, 16, 24, 0, -3, -17],\n [-21, -18, 18, 25, 20, 17, -15, 10, -8, 5, 15],\n [-18, 10, 25, -7, -4, -24, -15, -23, 7, -16, 19],\n [-23, 13, 11, 8, 24, 2, -12, 2, 4, 4, 1],\n [-24, 11, -13, 13, 16, 2, -6, 13, 24, -8, 8],\n [22, 19, -9, 12, -3, 5, -17, 9, -1, 13, 4],\n [-21, 2, -19, 16, 16, 16, 12, -7, -1, -8, 21],\n [0, 19, -6, -24, 4, -4, 16, 8, 9, -21, -11],\n [13, -11, 2, -14, -23, -16, 10, -19, 17, -9, -6],\n [21, 23, 20, 2, -14, -8, 19, 25, 11, -14, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-691", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[14, 15, 25, -7, 10, -20, 2, 18, -25, 24],\n [-7, 23, -23, 10, 1, 20, -20, 4, 11, 1],\n [-20, 19, 15, -9, 21, 4, -11, -7, 4, 14],\n [-17, 8, 20, 0, 20, 11, 9, 16, -24, -13],\n [17, 17, -17, -5, 15, 18, -25, -6, 23, -21],\n [-14, 17, -5, 22, 13, -3, -18, -4, 0, -7],\n [-11, 11, 15, -5, 25, -13, -19, -1, 7, -23],\n [13, 6, 15, 10, 14, 24, -3, -24, 6, 20],\n [-20, -19, -5, 7, -10, -23, 0, -1, -11, -4],\n [17, 11, 23, 22, -6, 24, 3, 11, -7, 14]]\nB =\n[[5, -12, 17, -11, -25, -14, -15, 21, -17, 18],\n [7, 1, 8, 23, -25, -16, -13, 3, 21, -21],\n [-15, 1, 13, 10, 1, 17, 13, 20, -1, 13],\n [-2, 16, 22, 5, -19, -1, -4, -15, -1, -7],\n [-22, -1, 8, 2, -10, -24, 0, -18, 17, 0],\n [12, -5, 24, -9, 4, 25, 17, 12, 18, -14],\n [5, 18, 11, 12, 21, -19, -19, 9, 1, 0],\n [14, 17, -7, -4, -25, 8, 24, 6, 3, -4],\n [25, -6, 2, 19, 24, 25, 2, -18, 21, -5],\n [-8, 16, -11, -16, 1, -8, -6, 12, 7, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1944", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -23, -25, -16, 23, -25, 22, 7, 3, 9],\n [11, 25, 5, 20, 20, 24, -19, -6, 17, -4],\n [16, -14, -16, 12, 5, 14, 13, 19, -5, -3],\n [5, 18, 18, 4, -4, 19, -5, 15, -6, 2],\n [13, -10, -7, -2, 17, 5, -21, -9, -25, 11],\n [4, 6, 6, -24, 8, 18, 3, -21, 4, 17],\n [19, -8, -12, 11, -15, -22, -4, 23, 20, -23],\n [-2, 8, -18, -2, -10, -20, -5, 6, 13, -4],\n [21, -17, -8, -14, -20, 1, 18, 13, 21, -25],\n [-11, -12, -13, -5, 20, 21, 15, 24, -20, -6],\n [-22, 14, -7, 17, 14, -16, -21, -24, 5, 18]]\nB =\n[[-6, -20, 17, -7, -8, 4, -19, -9, -22, -23],\n [-1, 4, 10, -12, 15, -3, 24, 24, -10, 2],\n [-14, -18, 4, 15, 24, 12, 20, -20, 13, -21],\n [-23, -16, 4, -10, -15, -23, -11, 18, -25, -13],\n [22, 13, 13, 12, -23, 4, 18, 15, 0, -15],\n [-20, -14, -10, -4, -4, 12, -14, 10, 24, -9],\n [14, 6, 19, 11, -23, -1, -7, 11, 24, 12],\n [15, 23, 17, 21, -7, -10, 0, 7, -11, 11],\n [-6, -21, 22, 14, -2, -20, -14, -22, 22, 17],\n [-13, 21, -5, -21, -13, -24, 18, -20, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67195", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, -16, -6, -1, 10, -16, 1, -19, 24, -5],\n [-4, 20, -8, -25, -1, -5, 23, 4, 6, 9],\n [21, -12, 13, 16, -1, 3, 14, 6, -15, 2],\n [-21, 9, -1, 15, 25, -19, 7, 16, 1, 18],\n [21, -5, 1, -1, -4, -15, -20, -23, 4, 2],\n [15, -9, -3, 25, 8, -5, -21, 24, 18, -11],\n [20, -24, -2, -16, -6, 9, 15, 21, -5, 4],\n [3, 9, 25, 12, 0, -6, 10, 17, 14, -8],\n [-4, -13, -11, -10, -1, -23, -21, 1, 13, 7],\n [14, 12, -22, 17, 12, 24, -24, -7, 25, -8]]\nB =\n[[-15, 9, -15, 7, -24, -25, 7, -13, 1, -25],\n [16, 3, 19, 14, -4, 13, -6, 18, 14, 19],\n [-24, 15, -9, 24, 22, 15, -21, 22, 0, -13],\n [8, 4, 18, 15, -24, -14, -4, 12, -13, 22],\n [-1, 14, 13, 21, 11, -5, -8, -7, -13, -1],\n [-10, 19, 3, 20, -10, -4, 18, -14, 17, 0],\n [2, 2, -3, 13, 4, 10, 12, -12, 5, 20],\n [-14, 21, -15, -22, -1, 17, -1, 18, -6, -18],\n [-2, -8, 12, -17, -2, 23, -21, 22, 19, -13],\n [-5, -17, -24, 22, -25, -18, -2, 8, -16, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-25, 9, 15, 0, -22, 5, -21, -3, 8, -11, -23],\n [-7, 17, 13, 13, 1, -4, 23, -11, 14, 16, -11],\n [6, 5, 13, -9, -13, 12, 11, -10, 2, 8, 6],\n [-2, 11, -21, 18, -3, 24, -5, -25, -13, 18, -18],\n [-25, -11, -16, -25, -12, 19, 16, 11, 15, 20, -5],\n [-25, 21, 1, 25, 5, -19, -8, 10, -2, 12, 9],\n [-22, -24, 9, -8, -24, 1, 14, -19, 15, 5, 15],\n [8, -19, 19, 3, -18, 7, -23, 14, 6, -7, -22],\n [-16, -8, -7, -14, -15, 6, -20, 12, 2, 0, -18],\n [-16, -4, 8, 19, 25, -4, -4, -20, 5, 10, -15],\n [-8, 8, -23, 23, 15, 25, 24, 12, 10, -9, 4]]\nB =\n[[4, 25, 17, 24, 5, 6, 22, -7, -17, 23, -10],\n [12, -7, 4, 10, -15, -11, -2, 15, -5, 17, -16],\n [16, 25, -1, 6, 7, 23, 25, 24, -2, -5, 0],\n [-9, -7, -23, -13, -24, 15, 19, 6, 7, 6, 16],\n [-1, -23, 16, 25, -19, 23, -1, -3, 2, -14, -18],\n [24, 9, -1, 4, 6, 10, 6, -1, 0, -18, -21],\n [17, -24, -7, -23, -14, 13, 6, -20, -18, -21, -13],\n [5, -13, -25, 20, -22, -6, 3, 6, 7, -12, -7],\n [25, -23, -15, -17, 25, 2, -24, -13, 9, 5, 17],\n [-12, -11, -21, 13, 8, 12, 17, -24, 19, 7, 1],\n [-23, -24, 25, 2, 4, 15, 24, -3, 7, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-259", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[24, -13, -22, 24, -7, -2, 10, -20, -14, -17],\n [-13, -2, 20, -11, 20, 24, 4, 6, 6, 8],\n [9, -8, -7, 24, -11, -4, -1, -2, -20, 10],\n [-16, -14, -21, -6, 11, 22, -8, 21, 14, 7],\n [15, -14, 7, -21, -17, 7, 4, 20, -9, 9],\n [-10, 14, -7, 21, -24, -20, 16, 19, 21, -15],\n [-17, 1, -12, 9, -6, 6, 22, -18, -15, -24],\n [-21, 4, 18, 15, -15, -10, -1, 16, -1, -15],\n [-25, 7, -25, 21, -17, 1, 12, -7, 14, -9],\n [-14, -24, -18, 7, -13, 17, -5, -7, 8, 4]]\nB =\n[[-6, -8, -5, 10, -19, -21, -17, 19, -8, 21, 24],\n [-25, 10, 19, -12, -18, 11, -6, 5, -19, 15, 12],\n [18, 17, -11, 23, 9, -9, 1, -5, 14, 18, 19],\n [0, 18, -21, 7, 23, -21, 2, -5, -18, -24, 11],\n [-12, 8, 18, 20, 11, -5, 1, 24, -8, 22, -21],\n [8, -8, 9, 0, 3, 15, 2, -20, 0, -8, 4],\n [7, 6, 24, 0, -4, 8, 23, -14, -4, -5, -2],\n [-1, -24, -25, -16, 8, -21, -9, -25, -12, -5, -20],\n [-15, 13, -6, -6, -5, -2, 15, 0, -23, 12, 15],\n [12, 2, -16, -2, 14, 22, -19, -3, -3, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14488", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[24, 24, 21, -4, 1, 12, -21, -8, -18, 9],\n [22, 23, -9, -14, 13, -4, -20, 4, -24, -21],\n [-24, 9, -21, 5, -9, 1, 5, 25, -16, -14],\n [-8, 25, -13, -18, 9, 18, -22, 20, -19, -5],\n [19, 18, -11, 8, -4, -25, -20, -25, -7, 1],\n [-16, -12, 8, 15, 6, -23, 25, 20, -10, 13],\n [7, -21, 9, -9, -3, 0, 20, 22, -19, 15],\n [-19, -11, 4, -6, -23, -4, 22, 24, -19, 5],\n [23, 24, -23, 17, 20, -9, 25, -4, 11, -23],\n [22, 4, -2, 7, 17, -16, -19, -10, 6, -24]]\nB =\n[[-18, -11, 22, -23, -6, 8, 21, 20, 15, -22, -3],\n [-18, -16, 23, 12, -21, -16, 0, 23, -10, -3, -9],\n [2, -8, 15, -15, 8, 20, -11, -25, 7, -17, 18],\n [-9, -11, -22, 11, 20, -20, -20, -7, -3, 4, -25],\n [-17, -4, -25, 10, -1, -10, 0, 2, -21, 22, -4],\n [-12, -17, -12, -10, 4, 6, -20, -9, -25, -8, -15],\n [-15, 2, -14, 8, -10, -16, 20, 13, -18, 0, 16],\n [16, 16, -12, 25, -17, 23, -7, 8, 21, 12, 3],\n [3, 2, 22, 23, -2, 2, 16, 18, -14, -7, -20],\n [-24, 24, 13, 5, 11, 3, 14, -14, 7, 21, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1470", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 16, -8, 4, -8, -19, -11, 4, -21, -21],\n [7, -20, 22, 14, -22, -13, 25, 16, 0, 23],\n [-6, 6, 6, 24, 11, 18, -25, -1, -1, -25],\n [-23, 13, -5, 17, -1, -5, 21, -23, 14, 3],\n [9, -4, -3, -13, 8, -3, 9, -7, -11, -11],\n [0, 13, -23, -9, 4, 2, 8, -10, 17, 15],\n [-15, -2, -3, -1, 11, -13, -7, 19, 8, -24],\n [-18, -21, -15, -24, 12, 6, -2, -14, 12, -10],\n [25, -2, 24, 15, -9, 6, -6, 23, 9, 4],\n [21, 16, -4, 5, 25, 11, -2, -2, -13, -1],\n [5, 10, -12, -6, 13, 2, -1, 12, 17, -15]]\nB =\n[[-8, 13, -7, -23, 15, 20, 23, 1, -3, 9],\n [12, 17, -13, 0, -12, 9, 15, -20, 17, -18],\n [14, 21, -11, -18, 19, 21, -10, 3, 8, 3],\n [9, 22, -16, -25, -21, -23, 13, 24, -12, 20],\n [1, 20, 3, -25, -8, -23, 0, -5, -2, 19],\n [21, -6, 3, -8, -23, 25, 21, 24, 7, -8],\n [11, -5, 18, -7, -3, -6, -2, -7, 0, 7],\n [6, 9, -1, 7, -2, 23, -17, 11, 11, -15],\n [-5, -9, -10, -21, 18, 20, -16, -13, 21, -20],\n [11, -10, -20, 3, -1, -3, -15, 3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51054", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[15, 11, -15, 12, -2, -9, -17, -18, 4, -19, 11],\n [23, -3, -17, -7, 18, -18, 22, 20, -12, 25, 2],\n [9, -19, -20, 4, 11, -10, 17, -25, 16, -9, -19],\n [9, -21, 1, 4, 18, 16, 9, -10, -20, -10, -18],\n [-6, 5, -6, -17, 4, -13, 0, -24, 15, 19, 20],\n [-2, -13, 25, -10, -8, -10, -24, -25, -16, -1, -12],\n [-9, -8, -19, -5, 3, 1, 23, -22, -14, -4, 14],\n [8, 0, 2, -7, 5, -12, -3, -9, -3, -9, -18],\n [12, -16, 4, -19, -24, 21, -4, -21, -23, -17, -21],\n [-6, 3, -20, -22, 10, -5, -9, -11, 1, 13, -7]]\nB =\n[[17, -23, 2, 21, -4, 25, 23, -20, 5, -21, -13],\n [23, 8, 24, -16, 14, 14, 24, 18, 2, -5, 11],\n [10, 2, -13, 10, -25, 17, -17, 23, -6, 17, 16],\n [-9, -23, 25, 6, 9, -20, -20, -1, 2, 13, -25],\n [14, -10, -6, -2, -11, 25, -16, -14, 11, 9, 1],\n [-13, 4, 25, -23, 9, 22, -14, 24, 3, 4, -4],\n [-9, 1, -4, 23, 23, -19, 20, -15, -10, 10, 25],\n [-4, 14, 11, -23, 9, 23, 12, 16, 15, 12, -2],\n [8, 9, -15, -11, -12, 19, -9, -5, 2, 17, 12],\n [-4, 8, -25, -3, 6, -22, 15, 17, -20, -10, -16],\n [9, -2, -16, -14, 7, 1, -1, -16, -1, 6, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18247", "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, -22, -17, 1, -17, 18, 0, -15, 12, 6, 4],\n [13, -17, -15, -3, -9, 6, -15, -4, 24, 6, -17],\n [-9, -1, -10, 20, 7, -24, 17, 13, 16, -14, 17],\n [8, -1, -12, -17, 4, -14, -16, -2, 8, -14, 0],\n [6, 9, -13, -7, -13, -4, 22, -3, -25, -18, 19],\n [13, 8, -13, 18, 23, 15, -16, -23, 2, 1, -5],\n [-15, -2, -14, -19, 16, 6, -16, 2, 0, 3, 1],\n [-16, -22, 16, -4, -16, -22, -19, 24, -3, -23, -2],\n [21, 11, 4, 15, -14, -5, 22, 17, -9, -23, -11],\n [10, 6, -17, 14, 24, -4, 10, 6, -21, 15, 22],\n [-22, 22, -21, -19, -15, 13, -20, 3, 25, -9, 2]]\nB =\n[[12, -7, 23, 18, -14, 19, 12, -7, 7, 19],\n [-21, -25, 9, 9, 21, 21, 5, 10, 14, 9],\n [14, -14, -8, 2, -13, 4, 14, -9, -17, 13],\n [-4, -11, 3, -10, -6, -1, 14, -2, -10, 25],\n [-10, -1, 20, 22, -25, 24, 24, 7, 23, -19],\n [12, 19, 2, 13, 2, 6, -2, -18, 18, 6],\n [2, 22, -23, -19, -20, 3, 19, -12, 19, 14],\n [-7, 20, -1, 11, -8, -22, -25, 7, 2, 15],\n [-7, 7, -11, 19, -3, 3, 13, -12, 4, -24],\n [-13, 14, 2, 5, -14, -13, -23, 3, 25, 4],\n [-14, -5, -24, 24, -10, 6, 2, -17, -9, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59710", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-7, -19, 10, 14, -25, 16, 10, 23, 13, -25],\n [22, -2, -16, -15, 12, -4, 5, -25, 15, -15],\n [-20, 25, 19, -9, -12, 6, -6, -22, 13, 21],\n [-4, 3, 16, 11, -13, -11, 9, -1, 25, -23],\n [25, -14, -12, 14, 6, 24, -22, 3, 5, 6],\n [-2, -15, 4, 23, -7, 10, -20, -24, 13, -7],\n [20, 22, 14, -8, 15, 10, 20, 24, -6, 11],\n [-25, -3, 12, -6, -22, 25, 23, 12, -21, -20],\n [0, -25, 24, -11, -10, -3, 15, -4, -21, 17],\n [-21, -20, -24, -16, 10, 20, 9, 19, -3, 21]]\nB =\n[[-10, 11, 16, 9, 22, 14, -10, -21, -15, 25],\n [3, 22, 20, -15, 20, -10, -1, 24, -23, -23],\n [-25, -14, -19, 17, 19, 20, 6, -4, -14, -20],\n [12, 13, 12, 15, -5, 2, 6, 1, 23, 23],\n [-11, 7, 6, 20, 8, -19, -13, 13, 24, -20],\n [25, -17, 16, -22, 4, 2, -5, -14, -13, 24],\n [-13, 1, 2, -8, 11, -10, -5, -16, -12, 2],\n [3, 21, -15, 4, 14, 1, 23, -23, -25, 6],\n [13, -5, -24, -16, 5, -8, -19, -21, 3, -22],\n [20, -23, -13, -23, -18, 24, 25, -22, 16, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-606", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, -2, 12, -7, 10, 9, -8, 14, 8, -1, -19],\n [-15, 12, -7, 9, 19, -6, 1, 5, -1, -24, 3],\n [11, 5, 21, 16, -20, 20, -5, 7, -17, -16, -4],\n [5, -15, -7, 15, -14, 12, -10, -13, 12, -13, -11],\n [-8, -10, 15, 24, 16, 18, -21, 1, -24, 15, 24],\n [1, -25, -12, 9, -3, 17, -4, 1, 24, -1, 8],\n [23, 1, 9, -5, 13, -23, -1, 21, -22, -11, -23],\n [-15, 2, -23, -8, 20, -17, -11, 14, -18, 14, -12],\n [12, -13, 13, 21, -16, 18, 4, -21, -4, 9, -21],\n [-14, 9, -5, 0, -25, 23, -16, 12, -2, 5, 19],\n [21, -3, -5, -24, 5, -24, 4, -1, 23, -7, -25]]\nB =\n[[11, 2, -6, 22, -21, 4, -3, 16, 1, 16, -25],\n [-17, 24, -19, 25, 0, -10, -20, 16, 11, 19, -14],\n [-2, -9, -24, 5, 11, 16, 3, -25, 18, -12, 14],\n [23, -15, 6, -6, -24, 5, -21, 6, 24, -17, 15],\n [-16, 10, 23, 0, 18, -23, 10, -3, 4, 13, -3],\n [-3, 17, 10, -1, -6, 12, 7, 7, 12, -25, 21],\n [7, 12, -2, -17, 5, 12, 23, 2, -3, 4, -8],\n [0, 7, -10, 3, -10, 7, 13, 20, 21, 12, -3],\n [0, 23, -9, 12, 19, -2, 17, -7, 16, 1, -24],\n [-18, -11, 15, -13, 1, -4, 21, 21, -25, -21, 3],\n [-11, 4, 20, -20, -20, -3, -21, -4, 15, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75564", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, 4, 22, -9, -3, 14, 24, -13, 20, 10],\n [16, -16, 12, 13, 13, -22, -7, 15, 2, 1],\n [-3, -7, -10, 9, -21, -2, -21, 3, -20, 15],\n [15, 18, 22, 22, 11, 3, 7, 1, 9, 12],\n [14, 22, -20, 20, -16, 10, 18, -19, -19, 3],\n [-10, -25, 22, 9, 21, 3, 12, -13, 14, -14],\n [-3, 20, -10, -12, -10, -20, 10, -2, 25, 1],\n [-1, 14, 10, 3, 5, -23, -13, -22, -15, 22],\n [-11, -24, -11, -20, 21, -13, 9, 25, 18, 18],\n [23, 14, -13, -14, -10, 17, 15, 25, -6, 14]]\nB =\n[[-13, 8, -7, 19, 1, 3, -7, 17, 1, -24, 14],\n [13, -25, -12, -18, 1, 7, 5, 4, -1, 23, 10],\n [12, -25, 5, 9, -5, 8, -9, -17, 3, -18, -7],\n [21, -20, -2, -20, 14, -23, 5, 5, -14, -18, 17],\n [0, 0, -11, -13, -4, -13, 20, -17, -2, -23, -3],\n [-14, 15, 18, -15, -7, -17, 11, -16, -17, 7, -13],\n [-6, 18, -15, 15, 3, 21, -13, 18, -12, -17, 16],\n [12, -7, 16, 21, -18, -8, 8, 10, -17, -10, -21],\n [25, -11, -2, 21, 18, 22, 17, 13, -1, -10, 16],\n [-4, 24, -10, 7, -21, -19, -8, -20, 23, -14, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2411", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 10) of the result:\nA =\n[[7, 8, -5, -8, -12, 16, 4, 20, -23, -13],\n [25, 11, -7, 11, -13, -11, 0, -20, 1, -14],\n [22, -1, 24, 21, -10, 20, -10, -23, 8, -2],\n [16, 20, -3, 4, 23, -5, -9, -8, -23, 21],\n [-14, -10, 12, -12, 1, -8, -6, 9, -9, -6],\n [-20, 0, -19, 12, -14, -9, -5, -20, 21, 11],\n [-1, -11, -15, -17, -22, -23, -13, 6, -20, -25],\n [16, -21, -24, -4, 6, 25, 22, 15, 24, 23],\n [-19, -5, -9, -6, -25, 6, 14, 6, -6, -16],\n [-20, 15, 7, -16, -1, -2, 5, 3, -14, 17]]\nB =\n[[11, 25, 16, 24, -17, 3, -23, -22, -5, -20],\n [-24, 11, -6, 19, 7, -12, -6, 17, -24, 21],\n [-19, 11, -14, 23, -10, -9, 5, -19, 0, -25],\n [-24, 5, -6, 11, 7, -13, -25, 25, 7, -23],\n [11, -7, 18, 14, 6, -21, 21, 17, 21, 11],\n [-20, 10, 11, -13, -14, -20, 4, 11, 2, -16],\n [2, -20, -17, -2, -8, -22, 19, -3, 1, -22],\n [-13, -15, -15, -7, 7, -12, -13, -19, 7, 6],\n [19, 11, -18, 20, 8, -7, 10, 8, 10, -20],\n [24, -25, 19, 4, -11, -17, 3, -24, 4, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "903", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-22, -7, -6, -21, -17, -6, 23, -10, 23, -6, -6],\n [0, 13, 7, -14, -5, -3, -6, -3, 23, 21, -20],\n [19, -14, 9, -18, 1, -10, 21, 6, 3, -19, -10],\n [3, -1, 17, 10, 22, -22, 1, -3, -3, 4, 17],\n [-2, 22, -10, -19, -3, 12, 5, 16, -7, 21, -22],\n [-20, -7, 1, 3, -14, 12, -13, 2, -21, 20, 20],\n [-9, 1, 0, -22, -18, 0, 7, -14, -13, -5, 11],\n [-1, 13, -23, -7, -19, -9, -13, -2, 25, 19, -18],\n [-18, 19, -24, 4, -23, 19, 0, -9, 12, -23, 7],\n [4, -11, -18, 4, -3, -14, 13, 22, -18, -17, -18],\n [12, 7, 22, 7, 19, -15, -3, 17, 25, 25, 17]]\nB =\n[[-1, -11, -16, -6, -10, 9, 8, -5, 20, 21],\n [14, -25, -1, 20, -12, -7, -18, 15, -11, 18],\n [-8, -25, 21, 7, -25, 8, -22, -9, -24, 13],\n [-16, 16, 19, 11, 0, 1, 13, -1, 3, 20],\n [-8, -4, 25, 0, 0, -5, -5, 16, -18, -24],\n [20, 8, -14, 23, -8, -9, -11, -23, -5, -7],\n [6, -15, -8, 3, -23, 24, -22, 2, -17, 12],\n [-19, -25, 9, 21, 8, -17, 0, -18, -7, 0],\n [20, -16, 17, 4, 14, 10, 5, -18, 16, 21],\n [-13, 11, 4, -11, 9, -23, 3, -2, 19, -3],\n [-17, -24, -11, 6, -8, 3, 14, -23, 7, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1082", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 12, 3, 5, -25, 15, 17, 1, 1, 3],\n [-21, -23, 3, 15, 13, -13, 7, -6, -23, -20, 17],\n [-9, 21, -22, 7, 7, -20, 15, -12, 20, -19, -20],\n [25, -23, 11, -4, 12, -18, -2, -13, -13, -25, 25],\n [15, 10, 6, -21, 23, -19, 24, 19, 6, 2, 7],\n [20, -12, -13, 3, 24, 14, -25, 21, 23, 23, 1],\n [4, 8, 20, -25, 8, -19, -25, 16, -8, 9, 24],\n [-7, -13, -3, -24, -23, -4, 10, 23, -18, -3, -18],\n [-1, 9, 21, -15, 15, 17, -20, 16, 16, 24, 19],\n [-9, 10, -8, 7, -8, -19, 3, -21, -10, 5, -21]]\nB =\n[[-16, 3, 3, -10, -22, -25, -18, 2, -25, 2],\n [-23, 24, -24, -1, 11, -15, 20, -8, 16, 13],\n [14, -6, -9, -19, 22, -9, -22, 10, 4, -25],\n [9, -14, -9, -10, 2, 6, 20, 9, -7, 3],\n [3, 25, -10, -22, -5, 23, 25, 18, -25, -7],\n [25, 18, 0, -14, -9, 11, 2, 10, 3, -21],\n [12, -23, -11, -23, -13, -21, -5, 15, -3, 21],\n [-4, 8, 15, 0, 21, 5, 9, -19, 14, 19],\n [6, -4, 21, -20, -5, 19, 13, 23, 21, 11],\n [1, -16, -4, 18, 25, -8, -22, 19, 9, 12],\n [12, 10, -22, 19, -16, 6, -16, 17, 19, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61349", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-15, 24, 13, -17, -13, 16, -8, 21, 11, 21],\n [-15, 2, -20, 7, -12, 21, 3, 13, -11, 22],\n [-21, -4, 5, -7, 25, -8, -20, -17, 4, 5],\n [9, -9, 16, -10, 7, -22, 5, 7, 24, 10],\n [-15, -22, 25, 10, -21, -5, -13, -22, 16, 24],\n [9, 0, 0, -7, 11, -15, -24, 5, -8, -15],\n [18, -10, -24, 6, 22, 22, -4, 10, -18, 10],\n [17, -1, 14, 18, 5, -22, 13, 19, 17, -16],\n [1, 15, 12, -9, 19, 12, -1, -9, -13, -5],\n [-11, 22, -2, -19, 19, 12, 14, -4, 16, -16],\n [7, -14, -18, 14, -4, 13, 13, 21, 18, -10]]\nB =\n[[22, 8, 20, -10, -12, -20, 24, -16, -2, 1],\n [21, 24, -17, 22, -10, -24, 5, 21, -7, -15],\n [-4, 3, 5, -18, -16, -20, 5, 25, 9, 24],\n [14, 3, -5, 15, -21, -21, -2, -11, 2, 8],\n [-13, 18, 6, -4, 3, -23, -21, 24, -15, 22],\n [15, 0, -17, 18, -15, -25, 12, 19, 2, -3],\n [5, -24, -8, -10, 16, -9, 22, -9, 21, 9],\n [5, 9, -2, 15, 11, 23, 4, -8, 1, -10],\n [-6, 15, 21, 2, -5, 15, 19, 7, 22, -17],\n [-2, -13, 4, 20, 17, 7, 20, -2, -6, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8299", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 9) when matrix A is multiplied by matrix B?\nA =\n[[-25, -3, 7, -9, -24, 5, 5, -10, 11, 11],\n [-19, 10, -25, 4, -8, 16, 13, 0, -15, -25],\n [12, -21, -4, -13, -9, 24, -19, 12, -19, -14],\n [12, -3, 22, -18, -11, 4, -17, 19, -5, 18],\n [-12, -18, 21, 10, -17, 0, -6, 12, -20, 8],\n [-3, 13, 7, -5, 15, 0, -21, -17, 19, 7],\n [-1, 21, -9, 14, 21, -7, -15, -18, -20, -20],\n [-18, -2, -7, 15, 1, -6, -2, 12, -21, -10],\n [13, 7, -16, 25, -21, -7, 25, 15, -5, -23],\n [2, 15, -7, -10, -24, -18, 20, 12, -14, -2]]\nB =\n[[-25, -8, -3, 13, 1, 18, 18, -20, 2, -3, 8],\n [-1, -15, 22, -25, 12, -16, -17, 0, -16, -8, 24],\n [-17, 19, 0, 16, -17, 10, -11, -2, 14, -24, -22],\n [12, 5, -6, 13, 19, 0, -21, -22, -4, -20, 11],\n [5, -21, -19, -21, -22, 1, -17, 11, -24, 23, -7],\n [13, -9, -9, 22, 14, 25, 24, -2, -13, 2, 20],\n [24, 19, 16, -12, -3, -3, -16, 12, 23, -9, 1],\n [-15, -7, 19, 18, 18, 1, 10, -10, -3, 7, -4],\n [-12, -13, -4, -19, 12, -25, 25, 7, -4, -3, -11],\n [18, -11, 5, 2, -23, 16, -1, 7, 7, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "574", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-10, 11, -21, 17, -15, -14, -5, -8, -12, 7, -5],\n [0, -1, 14, -1, 9, 24, -6, -24, 15, 25, -14],\n [6, 17, 7, 22, 5, 7, -6, 15, 11, 11, 14],\n [-12, 10, -14, 0, 8, -20, 20, -13, -4, 9, -7],\n [11, -3, 24, 6, 18, -15, -22, -14, 25, 13, 4],\n [-16, 25, -2, -3, -25, 22, -22, 2, 18, 19, -23],\n [22, -24, 15, -20, 16, -9, 11, 18, -3, 14, -5],\n [18, 5, -14, 3, 16, -13, 0, 7, 8, -6, 21],\n [-16, -25, 3, -4, 24, -25, 18, -18, -17, -3, -6],\n [8, -10, -4, 20, -3, -25, -12, 23, -3, 12, 14]]\nB =\n[[24, -18, 6, 14, -24, 22, -13, 1, 20, -19],\n [-23, -5, -18, -25, -9, 0, 3, -18, 12, 25],\n [17, -18, -18, -1, 16, 16, 19, 1, -4, -23],\n [23, 21, 12, 23, -2, 7, 9, 14, 3, -18],\n [-15, -10, 7, -15, 3, 23, 19, -2, -24, -21],\n [-2, 18, 21, -19, 5, 4, -20, -21, -11, 1],\n [9, -17, -3, -9, -3, 20, 13, 21, 3, 13],\n [19, 20, -15, 24, -13, -14, -24, 16, -15, 22],\n [23, -12, -4, -5, 19, 23, 11, 10, -1, 17],\n [23, -23, -24, 1, 7, -8, 22, -15, -19, 11],\n [24, 10, 1, -4, 5, 14, -20, 7, -19, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 2) of the product matrix AB given:\nA =\n[[-25, 13, 20, 12, 16, 24, 22, 18, 3, -15, 2],\n [14, -11, 4, -3, -14, 2, 5, 4, 13, -10, 4],\n [-22, 7, 7, 2, -5, -11, 0, -12, -11, -24, -10],\n [11, -15, -15, 7, -24, 7, -23, -6, 7, 0, 23],\n [8, -12, 3, -24, 24, -18, 1, -18, -19, -15, 13],\n [4, 13, 23, 21, -5, -5, -19, -6, 23, 25, -12],\n [-6, -21, 5, -14, -14, -24, 0, -22, 4, 8, 11],\n [-6, -24, 19, 9, -11, 25, 22, -12, 10, 23, 4],\n [18, 1, -24, -5, -12, 1, -5, -3, 9, 22, -18],\n [-14, 2, 15, 7, 7, -17, -11, -16, 23, -24, -23],\n [-3, -16, -7, 15, -8, 9, 15, 17, -17, 5, 4]]\nB =\n[[11, 24, -14, -9, 1, -5, 23, 22, 1, -12],\n [15, -13, -23, -2, 6, 11, -18, 9, -3, -10],\n [10, -17, 13, -8, 23, 5, 12, 16, 11, 21],\n [8, 21, 15, -20, 10, -12, 15, -2, 7, 25],\n [16, 24, -7, 3, -20, -23, -8, -5, 3, 16],\n [10, 5, -18, 6, -10, -4, -24, 25, -11, 14],\n [-9, -13, 9, -1, -16, 19, -15, 7, -12, 8],\n [-4, 18, -22, 18, 0, -25, -16, 10, -24, 3],\n [-1, -3, 4, -1, -13, 14, 8, 9, -11, 13],\n [16, -6, 17, -4, -1, -12, -7, 20, -4, -3],\n [-25, 13, 4, -21, 4, -19, -13, 5, -19, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-756", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[25, -1, -13, 22, -11, 25, 4, -19, -21, -12, 4],\n [-3, -10, -2, 17, -5, 17, 4, -14, 19, 14, 4],\n [12, -4, -24, -3, 16, -3, -4, 4, 1, 8, -15],\n [3, 11, -20, -10, -6, -16, 20, 12, 11, -16, 18],\n [-1, -4, 6, -9, 0, -10, -16, -9, -24, -24, 3],\n [20, -22, 4, -14, 8, -12, -2, -2, -8, -1, -1],\n [15, -1, 2, 4, -1, -2, 14, 13, -13, -24, 8],\n [-10, 22, -2, 24, -24, 3, 13, 13, -9, -3, -14],\n [-13, -21, -11, -24, -20, 10, -3, -13, -24, -21, 14],\n [-10, 13, 9, 15, 19, 8, -7, 17, 0, 16, 17],\n [-9, 23, 9, -14, 9, 11, -20, -16, 17, -3, -7]]\nB =\n[[17, -18, -17, -23, 7, -24, 8, 9, -8, 1],\n [23, 18, 1, 12, 13, -9, -17, 6, -3, 18],\n [-12, -15, -22, 25, 12, 25, 22, -10, 10, -1],\n [-21, -16, -21, 15, -8, -3, 12, -12, -3, 22],\n [9, 7, 12, -25, -20, -5, 1, -21, 1, 18],\n [-20, 14, -1, 25, -21, -11, 20, 22, 12, -9],\n [-9, 22, 7, -8, 10, -23, -1, 9, 19, -6],\n [10, 17, 5, -5, 11, 8, 12, 11, -25, 5],\n [-3, 17, 12, 23, -15, 13, 22, -6, 11, -19],\n [9, -24, 7, 14, -2, 13, -16, 20, -17, 17],\n [7, 25, -5, -12, 24, -3, -14, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57606", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-16, -8, -2, -23, -22, 4, -5, -4, 2, -17],\n [18, 15, 15, -10, 11, -21, -12, -12, 21, -10],\n [13, 17, -22, 11, -12, 15, -3, -17, -2, -15],\n [2, -7, -7, -14, 21, 8, -14, -23, 4, 21],\n [20, 25, 9, -11, 17, -4, -17, 2, 3, 13],\n [13, 13, -9, -22, -22, -19, -24, 11, -16, -8],\n [2, 20, 9, 9, 25, 4, -5, -1, -13, -19],\n [-20, -6, 19, -21, 12, 18, 14, -1, -8, -2],\n [-11, -18, -13, 13, 22, -1, -3, -21, -4, 21],\n [-4, -1, 21, -25, -22, 6, 0, 10, -11, 9],\n [12, 1, -12, 8, -1, 1, -5, 22, 9, -20]]\nB =\n[[9, 0, -11, -21, 0, 7, -1, -9, 18, -6, 16],\n [-24, -18, -7, 3, 22, -7, -17, -18, 23, -11, 8],\n [-22, 1, 12, 21, -13, 6, 9, 22, 20, 10, -16],\n [-3, -3, -22, 18, -21, -22, 4, 15, 7, 22, 14],\n [-13, -8, 6, 7, -19, -12, 14, 22, -12, -16, 15],\n [13, 11, 20, -8, -7, 14, 16, 17, 11, 21, -23],\n [-19, -19, 12, -20, -16, 18, 10, 11, 22, 1, 19],\n [-25, -25, 22, -5, 11, 2, 23, 13, 10, -24, -24],\n [-22, -24, -25, 23, 14, -8, 15, 8, 1, 10, 13],\n [0, -15, 14, -23, 23, 2, 10, -10, 9, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2807", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -13, 23, 2, 18, -10, -24, 0, 16, 2],\n [-23, 18, -5, 6, -20, -21, -2, -25, -3, -10],\n [-18, 19, -1, 20, -15, -14, 19, -18, -16, 9],\n [12, -5, 25, -8, -8, 0, -6, -1, 5, -8],\n [-10, 19, 17, -8, 22, -12, -19, 12, 23, 3],\n [-3, 21, 16, 23, 8, -9, 19, -8, -7, -24],\n [3, -24, -8, 13, 16, 10, 10, -5, 7, -24],\n [-16, -11, -14, -23, -22, -17, 20, 16, -16, 5],\n [11, -15, 1, 20, -20, 17, 4, 17, 9, 19],\n [-8, 24, -20, -13, 12, -14, -19, -12, -17, 9]]\nB =\n[[21, -19, 13, -5, -7, 1, -24, -12, 11, 7],\n [18, -14, 25, -5, 4, -4, -24, 3, -2, 6],\n [19, -14, -19, -24, 14, -7, 25, -8, 8, -24],\n [19, 12, 14, -7, -20, 25, 15, 21, -9, -3],\n [14, -17, 11, 12, -5, -5, 1, -15, 13, 4],\n [2, -6, 21, 19, 21, 20, 12, -22, -8, 24],\n [3, 10, 1, -25, 9, -21, -20, 10, -21, 18],\n [6, 13, 19, 5, 14, 19, 18, 16, -16, 5],\n [-18, 1, 3, -12, -3, -22, 8, 15, 12, 1],\n [-7, 5, -23, 3, -13, 1, 17, 6, 20, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7013", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[24, 11, -23, 13, -20, -23, -13, -15, 1, -24, 14],\n [18, -14, 21, 14, -14, -3, 5, -16, 9, -20, -1],\n [5, 4, -11, 20, -23, -8, -9, -12, 20, -10, 25],\n [1, 17, 11, 7, -6, -1, 24, -12, 11, -21, 11],\n [-16, -16, -17, -12, 7, 3, -2, -20, 0, 13, 18],\n [21, 22, -23, 22, 14, 20, 6, 0, -23, -14, -12],\n [-7, -22, -14, 9, -3, 22, -23, -23, 13, 16, -10],\n [-13, -7, 2, 12, -17, 20, -9, -19, -18, 11, -14],\n [2, -24, 22, 2, -1, 1, 9, -11, 23, 22, 9],\n [21, 7, 18, 16, -3, 1, 12, -18, 12, 25, -22]]\nB =\n[[22, -21, -10, -8, 19, 19, -8, -18, 3, -5, 13],\n [1, 21, -24, -22, 22, -14, -10, -1, -3, -9, 16],\n [21, 25, 20, -25, -5, 10, -24, -3, 14, -24, 17],\n [-16, 17, -17, 3, 0, 10, 3, -22, -5, 7, 5],\n [2, 10, 7, -22, -22, 7, -12, 22, -17, -2, -1],\n [-19, 20, 2, -21, 20, -13, -24, -6, -14, 1, -19],\n [8, -5, -8, -16, 12, 13, 18, -5, -10, 25, -6],\n [24, 20, 21, 14, -2, 21, -5, 18, 5, 24, -16],\n [-6, -12, -7, 4, -10, -4, -6, -20, 19, 17, 7],\n [15, -7, -21, -19, 8, -6, -11, 12, -25, -21, 8],\n [-5, -12, -9, -14, 1, -20, 13, 22, -1, 1, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72503", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-24, -4, 6, -9, 11, -24, 0, 7, -25, 14],\n [17, 18, 10, 13, -1, -13, 13, 10, -14, -5],\n [-3, -8, -13, -7, 9, 20, 22, 8, -25, 20],\n [-4, 2, -22, 11, -19, -15, -14, 14, 13, 9],\n [8, -8, -16, 25, -11, 0, 23, 25, -23, -13],\n [8, 21, -9, -25, -12, -25, -2, -15, -23, -13],\n [-4, 15, 21, 15, 4, -1, -19, -1, 13, -1],\n [-24, 8, -4, -25, -8, -10, -16, 5, 22, -13],\n [8, 8, 16, -14, 11, 14, -9, 15, -11, -13],\n [20, -18, -9, -15, 14, 20, -25, 6, 18, -16]]\nB =\n[[18, 25, -11, -23, -17, -18, -16, -18, -10, -15, -3],\n [-4, 14, -8, 13, -23, -18, -21, 1, -21, -7, -9],\n [20, -8, -24, 24, -19, 23, 24, -10, -19, -8, 18],\n [0, 3, -10, 20, 13, 4, -1, -18, -12, -4, -12],\n [1, 9, 14, 25, -14, 17, -5, -15, -23, -17, 17],\n [-7, 16, -3, -10, -22, 6, -25, -22, 0, 1, 14],\n [-10, 4, 12, 7, -10, 7, -6, 5, 22, 1, 6],\n [-4, 10, 1, -1, -24, 20, 12, -3, -14, 11, 20],\n [11, 24, 22, -5, 22, 16, -15, -5, 11, -22, 0],\n [-6, -19, 12, 21, 1, 21, -9, 6, -16, 24, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3960", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 10) when matrix A is multiplied by matrix B?\nA =\n[[-8, -24, 9, -20, -23, -19, 9, 21, -13, 12, -24],\n [-24, 25, -18, -17, 8, 13, 5, 3, 23, 21, 10],\n [-4, -3, -13, 9, 18, -23, 25, -17, 22, -8, 0],\n [3, 22, -14, 13, -3, -7, -2, 18, 17, 18, 4],\n [5, -7, -5, 23, 21, -16, -22, -8, 19, 11, -6],\n [10, 22, 6, 1, 15, -2, 3, -2, 3, 13, -8],\n [-16, 21, -17, 24, -15, -14, -24, 0, -17, -9, 9],\n [20, -23, -20, 17, -3, 9, -11, -18, 6, 8, -15],\n [20, -23, 3, -16, -8, -8, -14, 1, 25, -7, 15],\n [7, -1, 18, -24, -24, -21, -4, 7, 18, -21, 2]]\nB =\n[[-12, 14, 17, 24, -16, 15, -11, -16, -22, 17, 23],\n [-8, -9, 5, 7, -1, -14, 21, -5, -9, -6, 3],\n [-23, -19, 7, 0, -6, 17, 11, 6, 9, -5, 15],\n [-18, -24, 25, 22, -10, 1, 10, -16, 2, -9, -1],\n [-11, -8, 2, -24, 14, 16, 5, 5, -1, -25, -8],\n [-10, 16, 11, 15, 16, 11, -19, -20, -12, -4, 24],\n [5, 19, -16, 20, 14, 20, 10, 15, 12, 8, -23],\n [-3, 17, -9, 3, -25, -23, -12, -15, 4, -5, -10],\n [20, 25, -17, -24, 0, 16, -23, -11, -14, -7, 15],\n [-12, -11, -3, -15, 17, -23, 17, -25, -22, -5, -1],\n [-6, -16, -8, 7, 9, -1, -23, 25, 24, -13, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-938", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, -8, 25, 4, 14, 20, 4, -2, 0, -25],\n [7, -18, -14, -18, -15, -12, -8, 18, 14, -25],\n [-5, -16, 11, 3, 20, 14, -2, 18, 10, -8],\n [-11, 6, 12, 17, 19, -6, 8, -17, 15, 8],\n [9, 1, 16, -8, -5, -8, 1, 5, 2, 7],\n [-11, 19, 21, 10, -7, 9, 6, 19, 13, -14],\n [3, 8, -10, -4, -18, -14, 8, -10, 21, -17],\n [1, 21, 9, -15, -7, 5, -11, 1, 7, -19],\n [-3, 10, -4, -25, 1, -15, 25, -14, -5, -18],\n [-13, 11, 7, 24, -24, -17, -13, 0, 19, 21]]\nB =\n[[-17, -11, -19, 17, 11, -17, -12, 4, 25, 21],\n [22, -6, 21, -3, -11, 5, -22, -1, 25, -7],\n [11, 8, -25, 15, 5, 14, 18, 9, 1, -5],\n [-18, -8, -3, 15, 10, 3, -10, 24, -16, -9],\n [-4, 14, -24, 16, 4, 18, 13, 13, 19, -7],\n [-16, -6, -2, -20, 19, -8, -10, 13, 14, 14],\n [-10, 14, -11, 14, -20, 7, 22, -13, -22, 6],\n [24, 3, -19, 7, -21, 14, -22, -19, -10, 11],\n [23, -15, 24, -21, 3, -1, -23, 6, 4, -6],\n [4, -23, 18, -11, 15, -12, 14, 24, -16, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 6) of the result:\nA =\n[[-11, 3, 8, 9, -17, 25, -9, -24, 0, 12],\n [17, 2, 4, 17, -17, 2, -10, -2, -4, -6],\n [-12, 17, 6, -16, -24, -19, -25, 11, -11, -15],\n [-6, 24, 15, 7, 12, -6, -16, 6, 10, 24],\n [-14, -1, -17, 23, -9, -12, -2, 15, 25, 19],\n [-23, 24, 15, -10, -8, 13, 24, -12, -16, -16],\n [-20, -23, 23, -4, -24, 13, -14, -25, 11, -13],\n [6, -1, 25, 12, -21, 11, -8, -16, -7, 8],\n [4, 6, -15, -4, 4, -25, -20, -12, -23, 13],\n [-11, 5, -7, -4, -19, 1, 9, 17, -21, 20],\n [9, 10, 11, -3, 10, -22, -24, 11, 9, 20]]\nB =\n[[-22, 22, -22, -20, 25, -9, -22, -4, -5, -14, -19],\n [22, 2, 20, -13, 17, 17, 7, 14, -13, -22, -1],\n [25, -6, 12, 9, -17, 25, 4, 13, -3, -15, -11],\n [21, -4, -9, 21, -14, 25, 9, 8, -25, 6, -22],\n [-2, -19, -14, -4, 23, 9, -5, 3, 23, -9, 2],\n [16, 21, 15, -9, -22, 15, -20, -11, 18, -2, -18],\n [15, 1, 5, -17, -8, -24, -4, -6, 16, -22, 12],\n [18, -13, 23, -6, -20, -11, -18, 4, 10, 10, -23],\n [1, 4, 3, -10, 14, 12, -6, 19, -10, -5, -8],\n [15, 5, -24, -2, -20, 20, -9, 0, 21, 11, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "561", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 18, 11, -25, -24, 7, -15, 4, 8, 1],\n [17, 8, -19, 13, 13, -24, 4, 22, -23, -24],\n [4, 11, 3, 9, 12, -4, 11, -8, 14, 19],\n [8, 19, 23, 12, 4, -24, -6, 18, -10, -22],\n [22, -13, -12, -17, 18, -12, -15, -16, 4, -19],\n [-20, -9, -13, 21, -22, 0, 6, -23, -15, -6],\n [3, -24, 17, -22, 6, 23, 23, -5, -9, 19],\n [-13, 6, 25, -23, 16, 22, 5, 5, -25, 2],\n [-3, -21, -25, -10, -15, 10, 11, -10, -14, 4],\n [18, -22, 23, 15, 12, -18, -18, -5, 14, -18],\n [3, -11, -12, 12, -16, 1, 14, 1, 16, 14]]\nB =\n[[9, 10, -15, -13, 9, -5, 11, 18, -14, 24, -1],\n [2, 18, -8, -16, 13, -23, -21, -14, -12, 19, 15],\n [6, 16, 7, -20, 4, -20, 5, -24, 0, 22, 6],\n [-21, 20, 22, 15, 17, -10, -14, -11, -5, 11, -5],\n [-1, -9, -18, 4, 7, -24, 7, 2, 0, 15, -25],\n [9, 22, 17, 13, -6, -13, 5, 12, -3, -14, -20],\n [-2, 8, 7, -19, 25, -12, 10, -10, 20, -3, -8],\n [3, -19, -22, -1, 7, 25, -2, -3, 24, -5, 13],\n [-5, 22, 1, -9, 0, -7, 7, 22, -19, 5, 13],\n [-11, -24, 19, -24, -9, 8, 21, 20, -1, 22, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2152", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 8) of the product of the following matrices:\nA =\n[[18, -17, -19, -15, 25, -22, 11, 0, 8, -10],\n [15, 21, 4, 20, -10, -20, 7, 24, -11, -6],\n [-14, -2, 14, 6, 15, 7, 22, 20, -14, -11],\n [-18, -22, 1, 11, -12, 13, -11, -7, -12, -19],\n [-20, 8, -2, -1, 15, -1, 24, 21, -11, 16],\n [-23, 10, -24, -4, 2, 6, 13, -1, -25, 18],\n [-3, -21, 22, 9, -15, -11, -21, 12, -22, 18],\n [-16, -17, 7, 16, -20, 20, 1, 17, 2, 20],\n [17, 8, 3, 6, -4, -11, 1, -16, -1, -15],\n [-18, -5, -18, 11, -2, 20, 22, -3, -2, -13],\n [13, -21, -11, -2, -15, -9, -18, 16, -2, 12]]\nB =\n[[1, 16, 25, -19, -2, 1, 11, 19, -23, -4, 22],\n [12, -4, 14, 22, 23, 3, -16, -9, 16, -19, 17],\n [9, 14, -23, -13, -20, -9, -24, 13, 12, 7, 16],\n [-3, 7, -1, -12, 9, 4, -17, 4, -19, -18, -19],\n [16, 1, -1, 21, 25, -2, 2, 8, -16, 10, -11],\n [12, -23, -14, 7, 0, 15, 15, -20, -23, 1, 15],\n [-12, 23, 23, 24, -15, 25, -9, 20, 22, -10, 17],\n [-25, 22, -20, -11, 7, -19, -18, 16, 4, -19, 14],\n [19, -12, -23, 0, 18, 8, 4, 4, 3, 11, 18],\n [-1, -22, -25, -18, -24, -9, 15, 17, 23, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-740", "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, -21, 6, -5, -17, -19, -8, -11, -1, 22],\n [-10, -6, 19, 11, 8, 25, -21, 7, -25, 22],\n [23, -19, 16, -22, -22, 19, -13, 9, 17, -8],\n [17, 24, 20, -15, -13, 17, 5, 13, 16, -20],\n [12, 24, -15, -5, 0, -11, -2, -8, -18, 15],\n [9, 2, 3, 21, 20, -24, -8, -25, -24, 19],\n [19, -12, 2, 18, -5, -6, 8, 8, 20, 13],\n [-22, 17, 2, 13, -25, 19, -18, -10, 25, 22],\n [19, 5, -19, 25, -21, -24, 15, 22, -22, -16],\n [9, -25, 13, -23, 17, 19, 0, -9, 16, -18]]\nB =\n[[4, -18, 3, 25, 25, -8, -2, -17, -6, 18],\n [-13, 11, -7, -21, 10, -2, 8, 21, -18, 20],\n [-22, 18, 12, -18, -17, 15, 22, 15, 5, 5],\n [25, 14, -19, -1, -13, -21, -8, -19, 12, 16],\n [-11, 23, 19, 7, 5, -17, -7, -20, 10, 6],\n [2, 24, 12, -16, 9, 20, -2, 8, 25, -17],\n [1, 8, -11, 1, 1, 6, 19, 1, 0, 18],\n [-9, -10, 9, 0, 12, 4, 16, 11, -12, -8],\n [2, 14, -10, -24, -6, 4, -17, 25, -25, 1],\n [-17, -6, 1, 13, 9, 7, -13, -12, -25, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65550", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 7) when matrix A is multiplied by matrix B?\nA =\n[[-19, 21, 7, 13, 8, 20, 2, -19, 20, -2, -11],\n [-2, 1, 13, -23, -16, -14, 15, 3, -18, -16, -9],\n [-17, 16, -11, -22, -5, -19, 22, -18, 20, -6, -19],\n [20, -20, -17, -12, 22, 10, 3, -23, 19, 5, -2],\n [-2, 22, 10, 9, -1, 13, -5, -11, 8, -17, -23],\n [-16, 24, -11, -10, -13, 18, 18, -25, 21, 7, -18],\n [-10, 22, 9, 25, -12, 15, 1, 18, 22, -25, 13],\n [24, 17, 4, 9, -16, 5, -14, 14, 9, 8, 13],\n [6, -14, 19, 2, -7, -2, -6, -4, -15, 2, 19],\n [14, -6, -21, 25, 14, -19, -4, 11, 15, 3, -14]]\nB =\n[[3, 10, 9, 17, -4, -8, -4, -7, 8, -17],\n [-16, -7, 12, -17, 25, 2, 4, -1, -8, 0],\n [-7, 1, 10, -22, 23, 0, 19, -23, 10, -19],\n [-16, 19, -22, -19, -4, 4, -4, 3, -15, -10],\n [18, -20, 11, -13, 7, 21, 25, -18, -15, 7],\n [7, 18, 22, 14, 1, 20, 13, -8, 19, 6],\n [19, 15, -2, -4, 24, -23, -23, -12, 6, -17],\n [-10, -1, -21, -13, 5, -5, 14, 25, -17, -5],\n [-17, -16, 15, 18, -14, -15, -6, 24, 13, 7],\n [-19, -25, -12, 19, -5, 19, 23, -18, -9, 19],\n [23, -11, -24, -13, 3, 2, -18, 9, -2, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "421", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -4, 0, -9, 12, -20, -15, 12, -24, 6],\n [0, 5, 6, 9, -24, -23, 7, -19, -5, 22],\n [-1, -10, -3, -9, 7, -8, 13, -3, -17, -23],\n [22, 9, -2, -20, -7, -12, -23, -20, -9, 10],\n [-4, -22, -16, 6, 21, 23, 23, 17, -22, -13],\n [-7, 20, 17, 12, 22, 0, 4, 17, 5, 25],\n [12, -14, -7, -3, 24, 20, 15, -16, -11, 24],\n [-9, -13, -2, -10, 13, 12, 4, 19, 18, -11],\n [-22, 18, -16, 14, 20, 20, 6, -5, 3, 4],\n [-19, 16, 3, -16, 24, -4, -9, -8, 20, -21]]\nB =\n[[13, -9, 8, -22, 15, -18, 0, -1, 10, 17],\n [13, -15, -23, 18, 14, 2, 13, -1, -4, -13],\n [-22, 2, -7, -23, 1, -15, -20, 22, 5, 3],\n [-18, -15, -17, 5, -25, -19, -16, -17, -13, 1],\n [-8, -10, -22, 4, 12, -6, 15, -14, 2, 18],\n [-25, -17, 16, 23, 7, -25, 16, -17, -4, -17],\n [-21, -24, -12, -14, 3, -10, 22, -17, 25, 6],\n [-2, -6, -6, 25, 16, 17, -21, -6, -10, -7],\n [-14, -9, 8, 1, 15, 0, 24, 8, -5, 16],\n [15, -23, 15, 10, 3, 19, -7, -5, -14, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56721", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 21, 2, -14, -24, 4, -14, 13, 13, -8],\n [-2, -14, -8, -20, -18, 23, -11, 18, -19, 3],\n [-1, -13, 6, -14, 22, -1, -7, 16, -10, -14],\n [9, 10, -2, 7, 10, -22, 9, 24, 24, -18],\n [-18, -19, 14, -1, 22, 9, -11, -8, -15, 4],\n [3, -3, 8, -7, -10, -20, 15, -11, -17, 3],\n [16, -24, 21, 7, 12, -3, -13, -6, -19, -9],\n [25, -5, 2, 4, -3, -5, 23, -25, -9, 6],\n [-2, -19, 9, 10, -12, -14, 13, -3, -12, -1],\n [-4, 19, 23, 11, 3, -18, -15, 4, -4, -11]]\nB =\n[[-5, 21, -1, -13, -19, 23, -8, -14, 21, 0, -21],\n [25, -18, 10, -21, -4, -3, -18, 25, -7, 8, -20],\n [24, 23, -9, -9, -11, 13, 11, 5, -4, -1, -7],\n [-19, -24, -11, -4, 20, 12, -19, 15, -3, -24, 7],\n [-8, 18, -19, -2, -15, -14, -8, 11, -25, -25, 1],\n [-17, -25, 2, -14, 23, -10, 23, -19, 9, 15, -3],\n [9, -10, 22, 16, -18, 22, -10, -20, 10, 5, 21],\n [2, 9, -9, 21, 4, -17, -3, 19, -25, -14, -9],\n [20, 7, -4, -16, 0, -12, -1, 21, -15, -7, 17],\n [25, 2, 1, -15, -4, -1, 4, -7, 13, -19, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4032", "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, -8, 5, -20, 20, -4, -17, 5, -4, -5, 9],\n [3, -5, 9, -3, 14, 18, -3, -8, -3, -25, 25],\n [18, -6, -10, -17, -1, 12, -1, 12, -19, 20, -10],\n [9, 5, -25, -6, 23, 1, -25, 11, -2, 23, -21],\n [-15, 9, 3, -3, -16, 4, 5, -2, -12, 25, -15],\n [-25, 18, 0, -6, -24, 7, 21, 19, 19, 19, -9],\n [-20, -14, -11, -23, -4, 12, -5, 9, 18, 17, 1],\n [-20, -15, -9, 10, 5, 17, -13, 22, 3, 12, -6],\n [12, 23, 9, 13, -25, 18, 24, -13, 1, -23, -6],\n [2, -20, 20, 20, -17, 19, 7, -22, -13, 12, -25]]\nB =\n[[20, -1, -25, 6, 16, 23, -7, -9, 13, 15, -14],\n [-6, -4, 19, 5, 8, -3, 18, -7, 23, -24, -24],\n [12, 13, 11, -14, 2, -15, 16, 23, 3, -5, 3],\n [3, 14, 16, -14, -24, 14, 12, 7, 19, 20, -16],\n [15, -15, -10, -18, 21, 20, -22, 18, 2, -9, -8],\n [-21, -18, -21, 9, -3, -4, 22, -24, 10, -23, 2],\n [18, -3, -17, -7, -3, -13, 20, -17, -21, 14, 4],\n [-3, 7, -5, 22, -13, 16, 15, 22, 15, -14, -4],\n [-22, -17, 5, 24, 22, -24, 20, 10, -15, 3, 10],\n [8, 21, 24, -17, -14, -5, -21, -19, 18, 11, 25],\n [-23, -11, -7, 23, -23, -6, -11, 12, -15, -12, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72927", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -18, -5, 9, -22, 10, -12, 18, -23, -6],\n [-18, 25, -12, -25, -6, -12, 25, 2, 13, 19],\n [-17, -3, -10, 22, 1, 14, -18, 2, -8, 8],\n [-24, -2, -16, 23, 14, -18, -21, -23, 7, 4],\n [13, -19, 19, -5, 12, -13, -1, -24, -24, -24],\n [-11, -11, -8, -21, 0, 4, -12, -21, 14, -5],\n [17, -18, -20, 0, -22, 4, 9, 1, 1, 18],\n [17, -21, 14, -15, 17, 9, -15, 12, 12, 24],\n [-21, 11, 25, 11, 0, 7, 7, -3, -19, 6],\n [-17, -10, -17, 18, 17, 2, -3, -14, 16, -17]]\nB =\n[[19, -14, -17, -7, 10, 7, -13, -24, 14, 18, -1],\n [-13, -13, 7, 1, 14, 11, -7, -4, -9, 25, -24],\n [-14, 7, 2, 0, -1, 2, 5, 18, 5, 1, 25],\n [18, -25, 9, 7, -25, -17, 7, 18, 11, 21, -11],\n [-11, 23, 3, 15, -5, 20, -8, -10, 3, 15, 1],\n [-11, 21, -17, 2, -24, -5, -15, 6, -4, 9, 16],\n [15, -10, 5, -16, 14, 10, -5, -18, 21, 16, 18],\n [21, 7, 14, -4, 4, -3, -11, 21, 17, 0, -10],\n [-16, 10, 2, 16, 0, 5, -8, -9, 22, 6, 13],\n [25, 25, -21, 16, 3, 10, 13, 24, -15, 7, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3265", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[22, 7, -25, -5, -9, 8, 3, -23, 23, -2],\n [8, -24, 5, 14, -19, 25, 3, 25, -15, 17],\n [-1, -7, -15, 19, 9, 7, -21, 9, -23, 5],\n [-14, -22, 6, 24, 24, -2, 25, 10, -24, -21],\n [-14, -1, 15, -2, -1, 18, 19, 19, -8, 25],\n [-6, 7, 3, 3, -4, -14, 8, -22, -21, -16],\n [-4, -1, -25, -16, -11, 14, 5, -9, -14, -21],\n [12, 22, 13, 25, -17, 25, -9, 3, 25, 16],\n [-9, 20, -12, -6, 21, 1, 25, 13, 22, -6],\n [-3, -17, 25, 23, -7, 6, -14, -24, 10, -5],\n [14, 17, -15, 2, -14, -21, 24, -11, 6, -9]]\nB =\n[[15, 10, -12, 15, -17, -9, 18, -19, 6, 18],\n [18, -20, -10, -24, -16, -22, -21, 11, 13, 0],\n [4, -24, 25, -8, -19, 20, 21, -3, -6, -11],\n [2, 20, -23, -23, -14, 8, 10, -18, -17, 9],\n [-2, -2, 9, -15, -20, -1, -25, -17, -14, -13],\n [3, 20, 6, 5, 0, 14, -2, -11, 16, 25],\n [-20, 3, 5, -10, -16, 19, 14, -22, 3, -18],\n [14, -15, -25, 17, 11, -3, 4, -11, 3, -2],\n [-17, 17, -15, -11, 18, 20, 12, 22, 0, 19],\n [11, -2, -4, -8, -17, 3, 6, -14, 15, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "904", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-1, -12, -1, 1, -13, 11, -16, -17, -13, -19, -12],\n [10, 14, -21, -13, -6, 2, 25, -11, 13, -5, -9],\n [-20, 20, 20, -1, -16, -12, -7, -15, 6, -16, 21],\n [8, 25, 18, 3, 3, -4, 24, -12, -24, -14, -4],\n [-25, 24, -14, -14, -22, -9, 22, -7, -25, -9, 8],\n [17, -19, 7, -20, -20, 6, 2, 11, 3, 17, 4],\n [-4, -21, 3, -24, -16, 20, -6, -8, 19, 9, 10],\n [25, -8, -14, 24, 20, -1, 10, 16, 15, -6, 22],\n [-15, -6, 7, -16, -1, -16, -2, 15, 7, 8, -11],\n [14, -2, -11, 23, -16, -21, -4, 11, 5, -3, -15],\n [-16, 9, -4, 15, -4, 11, 1, -25, -21, -15, 7]]\nB =\n[[-10, 14, 4, 2, 3, -10, -25, -18, -22, 25, 10],\n [-8, -7, 10, -17, 0, -24, -23, 2, 19, -6, -7],\n [-7, 15, 11, -11, 15, -20, 16, -25, -13, 23, 20],\n [-23, 19, -18, -3, 2, 7, 8, 8, -1, 15, -25],\n [17, -19, 12, 2, -9, 12, 22, 4, -25, 2, 10],\n [-8, -24, 7, -19, 22, 19, 24, 13, -8, -19, -22],\n [-9, -7, -21, 13, 12, 11, -13, -14, 11, -22, -1],\n [5, 14, -11, 2, -15, 3, -21, 17, 16, -24, -6],\n [-4, 14, 1, -5, -6, 6, 10, 22, 20, -23, -18],\n [4, -22, -19, -2, -17, 8, 9, -17, 13, -11, 23],\n [-14, -22, -9, -17, 5, 4, 12, -8, -5, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -9, -1, -13, -2, -11, -5, -14, -12, 21],\n [20, 2, -1, 2, 5, 10, -10, 14, 3, -15],\n [0, 1, 4, 11, -23, -16, 6, -21, -17, 0],\n [9, -21, -10, -13, 4, -15, 4, 23, -5, -22],\n [-9, 7, 5, -20, 7, 13, 17, 16, 24, 1],\n [-1, 16, -7, -24, -25, -12, 18, -11, 25, -4],\n [-9, 24, 15, 6, 7, -25, 15, -7, 12, 25],\n [24, 9, -22, -15, 23, -23, -24, 10, -3, -15],\n [9, 3, -19, -7, -20, -1, -10, -3, -15, 7],\n [-18, 10, 24, -1, 9, -13, -20, 9, 20, 13]]\nB =\n[[24, -22, 19, 17, 16, -10, -15, -2, -12, 14],\n [-18, 4, 5, -20, -2, -25, 12, 20, -5, -20],\n [-11, 6, -8, 21, 6, -14, -15, 8, -24, 18],\n [-4, -5, -20, -20, -14, -22, -19, -14, 4, -17],\n [-19, 22, 21, -4, 1, 9, 12, -2, -12, 14],\n [10, -13, 11, 24, -15, 6, -21, -9, -24, 6],\n [-3, -21, 14, 12, -18, 1, -24, 14, -19, 14],\n [24, -4, -19, 21, -17, 20, 19, 9, 12, -2],\n [10, -8, 17, 0, 13, -11, -4, -1, 17, 25],\n [-1, 15, -1, 12, -1, -19, 14, 18, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13393", "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, -3, -6, -6, -19, 8, -15, 17, -18, 12],\n [-15, 17, -1, 5, 11, 0, -16, 7, -19, 10, 19],\n [-6, -11, -10, 9, -5, 9, 14, 22, 8, 13, -25],\n [-17, 15, 4, -5, -8, -4, 18, 0, -14, 5, 11],\n [17, 10, 22, 18, -24, 11, 14, -10, 24, -3, 9],\n [-20, 10, -4, -15, 8, -5, -13, 19, -8, 19, 18],\n [4, 15, -2, -25, 11, 2, -22, -22, -12, -15, -3],\n [20, -14, 22, 21, 16, -22, -25, 25, 14, -16, -19],\n [-24, -3, 8, 25, -14, 25, -14, 19, -10, -18, 16],\n [-20, -11, 23, -15, 25, 4, -16, -3, -8, -17, -17],\n [24, -20, -10, -14, -24, -9, 0, -17, -21, 2, 4]]\nB =\n[[-9, 21, 13, -7, -20, -22, 18, 25, 12, -12, -10],\n [11, 6, 5, -21, -9, -22, 17, -2, -20, 4, 18],\n [-15, 1, -17, -2, -6, -13, 2, 21, 5, 6, 9],\n [11, -7, 21, -19, -23, 14, 4, 5, 19, 22, 14],\n [-17, 8, -4, 1, 1, 7, 19, 19, 17, 16, -20],\n [22, 1, 6, 12, -4, -13, 6, 1, 18, 14, 4],\n [9, -13, -25, 16, 1, -4, 21, 17, 22, -2, -3],\n [9, -17, 1, -19, -2, -10, -3, -19, 14, -4, 3],\n [-6, 11, -20, 5, 1, 15, 11, -17, -1, 16, 12],\n [7, -13, 11, 1, -7, -10, 21, -12, 20, -22, 13],\n [-4, 21, 11, -25, 25, -5, 24, 4, 1, 20, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68610", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 5) of the result:\nA =\n[[3, -22, -19, 7, -14, 7, 20, -2, 12, -25],\n [8, -9, 14, 24, -4, 23, 22, 1, -11, -11],\n [-3, -14, 1, 23, 24, 14, -17, 21, 19, 3],\n [11, -5, -25, -14, -25, 1, -2, -2, 23, 8],\n [13, 9, 24, 20, -16, -2, 1, -19, -12, 9],\n [17, -11, 25, 18, 6, 11, -17, 13, 21, 7],\n [7, 12, 6, -5, -21, 17, -15, 3, 20, -18],\n [1, 20, 15, 17, 17, 22, -14, -19, 9, 18],\n [-20, -7, 10, 16, 14, 16, -10, -15, 10, 2],\n [19, -3, 9, 9, -9, 13, 17, -22, 22, -19],\n [22, -8, 18, -3, 2, 15, 16, 10, 12, -7]]\nB =\n[[24, 18, 24, -5, 9, 24, -24, 25, -9, -15, -13],\n [15, 2, -9, 19, -2, 19, 8, 23, 11, -12, 23],\n [-20, 15, 18, -4, -6, -3, 18, 6, -4, 13, 24],\n [-3, -6, 11, 17, 20, 13, 17, 8, -9, -11, -5],\n [-25, 19, 12, 8, 3, -24, -6, 16, 24, 18, 25],\n [-13, -18, -3, 22, -15, -3, 10, 2, -9, -18, -25],\n [3, -23, -13, 7, -3, -3, 8, 0, -21, -18, -9],\n [-1, -3, 2, 8, -18, 17, -7, -13, 0, 13, 25],\n [-20, -13, 23, -3, 10, 17, -9, -25, 17, 25, -13],\n [2, -12, 22, -12, -19, 11, 15, 17, -8, 15, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, -6, -5, 12, 10, -1, 17, -24, 18, 4],\n [-18, -1, 4, 4, -13, 5, 6, 10, 15, 3],\n [22, 8, -7, 0, -21, -6, -12, 17, 3, -23],\n [-6, -1, 15, -21, 3, 24, 15, 15, -24, -20],\n [10, -25, 5, 1, 19, 11, 20, 20, -7, -25],\n [5, -8, -19, 23, 6, 9, 6, -25, 7, -14],\n [19, -2, -22, -11, 6, -2, -3, -1, 23, 0],\n [-5, -20, -4, 19, 13, 11, -15, 11, 4, 5],\n [7, 19, -14, 1, -12, -25, 19, 24, 23, -18],\n [-18, 14, 3, 0, 0, 23, -6, 18, 17, 23]]\nB =\n[[-19, 6, 16, 23, -8, -4, 3, 6, 23, -6, 5],\n [17, 15, -18, 17, 10, 25, -18, -17, -12, 20, 7],\n [-11, 4, 4, 14, 5, -21, -7, 22, 16, -15, 11],\n [-16, 22, 10, 7, -2, -11, 3, 13, 1, -6, 10],\n [-12, 11, 23, 10, 11, -2, 23, 17, 10, 3, -11],\n [13, -21, 20, 7, 13, 19, 19, -25, 21, 8, 14],\n [-18, -2, 20, -3, 10, -13, 11, 20, -8, -16, -22],\n [-19, 10, -4, 17, 17, -14, -2, 21, 11, -18, -6],\n [17, -8, -1, 24, -3, 12, -8, 25, 20, -15, 13],\n [-12, 22, -4, 19, 12, -11, -21, 23, -21, 24, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8180", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 8, -10, -5, 19, 6, -7, -2, 9, -8],\n [-12, -4, 13, 4, -14, 23, -14, 4, -23, 14],\n [6, 1, 2, -8, -1, -11, 25, 19, 22, 1],\n [-11, 4, -15, 19, -12, 19, 2, -18, -15, -12],\n [25, 21, -4, -1, -16, 10, 13, -2, -20, 7],\n [-4, -6, -15, 25, 9, 9, -25, 16, 0, -12],\n [23, -24, 20, -21, 13, -11, -5, 3, 25, -5],\n [12, 10, -12, 7, -3, -18, -6, 12, 21, 12],\n [21, -25, 16, -22, -12, -4, -14, -1, 22, -19],\n [-19, 13, -20, -7, 21, -3, -16, 18, -18, 10],\n [-19, -23, -18, -13, 5, -13, 0, 22, 22, -24]]\nB =\n[[-23, -11, 23, -24, -9, 12, -15, -21, -20, -23],\n [-3, 6, -22, 21, 3, -9, 5, 9, 22, -5],\n [-3, 22, 5, -25, -15, -25, -19, 15, -13, -6],\n [-20, 4, 23, -20, 8, 9, -6, 12, 4, 25],\n [7, -2, 5, -10, 14, -10, 1, 10, -4, -11],\n [20, -25, 2, 7, 10, -11, 5, -20, -22, -6],\n [-22, -16, -19, 1, -20, 5, 10, 1, -13, -15],\n [-17, -18, -16, -24, -2, 9, 8, 24, -15, -25],\n [-21, 1, -19, 24, 11, 12, -25, 6, -9, -8],\n [-22, 23, -13, -21, -4, 0, -22, -3, -21, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "354", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-13, -17, -22, 0, -12, -24, 5, 24, 25, 0],\n [-24, 15, 20, 18, 11, -24, 14, 2, -3, -19],\n [13, 14, -4, 10, -25, 8, -22, 15, 9, 5],\n [7, -21, 17, 17, -15, 6, 21, -25, 17, -20],\n [2, -9, 24, -15, 15, 1, -14, -13, 5, 9],\n [-1, 4, 10, -5, 22, 10, 2, 1, -14, -16],\n [0, 3, 19, -20, -1, -18, -15, -9, 12, 21],\n [-13, 15, -11, -7, -7, -16, 2, 11, -1, -11],\n [9, -10, 11, 1, -21, -2, -24, 14, 23, 9],\n [7, 16, 6, 6, -10, 19, 12, 19, 18, -3],\n [0, -21, -19, 8, 24, -16, -4, -5, -7, 16]]\nB =\n[[13, 19, -1, -13, 17, -7, -19, 5, -24, 18, 19],\n [-22, -25, 21, 24, -3, 21, -9, -4, 9, -18, -19],\n [-25, -1, 25, -2, 24, 7, -15, 6, 3, -25, 21],\n [-18, 19, 3, 5, 9, -19, 5, 19, 24, 6, 4],\n [-14, 9, -16, 0, -21, -3, -17, 7, 11, 4, 7],\n [-24, 16, -22, 0, 4, 9, -16, 5, -11, -5, -20],\n [-25, -16, -24, -17, -9, -10, -24, -10, 9, 2, 25],\n [-13, -20, -1, 13, 0, 18, 20, -11, -24, -4, 16],\n [2, -9, -3, -11, 12, 8, 4, -25, 15, -10, -1],\n [22, 20, -3, 7, 8, -17, -10, 11, 24, 22, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "422", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[23, 16, -14, -21, -3, -18, 17, 9, -10, -6],\n [2, 4, -15, 24, -9, -16, -2, 5, -15, 21],\n [-18, 5, 11, 11, 7, -17, 20, -23, 23, -13],\n [2, -2, -16, 16, 11, -11, 16, 2, 11, -25],\n [-13, -22, 14, 4, -23, -6, 9, 1, 22, -14],\n [19, 25, 15, -10, 6, 25, 7, -10, 3, 1],\n [5, 25, -2, 5, -17, 19, 10, -20, 4, 0],\n [14, -19, -18, -15, -23, -22, 7, -6, -21, 8],\n [-12, -13, 23, 19, -2, 4, 14, -15, -17, -13],\n [-13, 6, -19, -15, 23, 16, -25, 2, -18, -11],\n [-21, -4, -6, -22, 19, -1, -10, 14, 20, 1]]\nB =\n[[3, -14, -19, -2, -21, 21, 16, 7, 12, 14],\n [17, -20, -18, -4, 24, -12, -17, -13, 24, 6],\n [-12, 9, -1, 5, 23, 17, 19, -6, 16, 11],\n [-19, -16, -20, -1, 24, -20, 19, -9, -4, -3],\n [3, -19, 9, 13, -6, 0, 3, 3, -19, 8],\n [-21, -13, -20, 6, 10, 7, 17, 7, -7, 15],\n [-8, -12, -5, 13, 8, 5, -9, -19, -5, -19],\n [-25, -4, -4, -3, 2, 14, 20, 4, 19, -16],\n [-14, 19, -10, -5, -13, 21, -22, 11, 4, 0],\n [-12, 11, -1, 13, 1, -12, -24, -24, 7, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52741", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -1, 19, 11, 1, 0, 21, -4, 21, -19],\n [-13, 22, 25, 2, 19, 2, -2, 9, 7, 11],\n [-17, 24, -23, -24, -4, -5, 11, -2, -12, 7],\n [-9, -5, -13, 18, 25, 18, 14, -15, -24, 11],\n [2, -23, -11, 20, -2, -18, -20, 6, 15, 25],\n [9, -13, 2, 16, -22, 5, -25, 4, -18, 14],\n [20, -12, 18, 2, 8, 13, -22, -2, 1, 16],\n [-15, -3, 16, 6, 24, -22, -7, -19, 7, -12],\n [-13, -20, -7, -17, 9, 23, 25, 22, 0, -22],\n [22, 2, 1, 25, 18, -19, -17, 8, -18, -16]]\nB =\n[[-25, 24, -18, 19, 13, 20, 13, -9, -8, 8],\n [9, 25, -23, -14, -22, 10, -17, 9, -23, -1],\n [0, 11, 22, 1, 2, -7, -2, 11, 14, 18],\n [12, -1, 8, -11, -10, -22, 0, 21, 13, 21],\n [0, 22, 2, 23, 11, 12, 10, -16, 7, -18],\n [12, 16, 10, -5, 19, 24, -6, 8, 12, 17],\n [2, 6, -14, -17, 17, -11, -13, -24, -6, -12],\n [16, -11, 3, -5, -16, 15, 12, -5, 9, 18],\n [-9, 18, -22, -12, 14, 6, -8, 8, 6, -12],\n [10, 8, -20, 14, 9, -11, 25, -6, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11264", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 10) when matrix A is multiplied by matrix B?\nA =\n[[25, 12, -5, -2, -16, 10, -17, -4, 16, 11],\n [-10, 17, -2, -22, 18, -3, 16, -4, -24, 2],\n [-7, -6, 2, 16, -2, 1, 18, -24, -19, -25],\n [-15, 25, 5, 4, -13, -2, -8, -13, -9, 20],\n [22, 4, -7, -14, 0, -8, -14, 18, 24, 16],\n [-24, -6, -20, -25, 0, -19, 6, 7, -16, 19],\n [15, -11, 5, -2, 3, -8, -19, 8, -12, -6],\n [3, 11, 16, 5, -7, -3, -19, -20, 9, 3],\n [-13, 13, -1, 8, -7, -22, -2, 7, 17, -24],\n [-24, -12, 24, -15, 8, 12, 2, 13, -4, 16]]\nB =\n[[7, 12, 5, -12, 12, -17, -2, 3, -21, 16, 13],\n [1, -18, 3, -14, -18, 16, 15, -5, 22, 21, -17],\n [-12, -25, 5, -10, 13, 1, -15, -24, 5, 24, -2],\n [13, -23, 22, -22, 4, -23, -22, -13, -12, -16, -12],\n [-9, -4, 20, 11, -5, -1, -23, -7, 6, -11, 15],\n [-2, -17, -16, 22, 6, 14, -19, 20, 24, 1, -11],\n [18, -5, -16, -3, -21, 23, -20, -4, 2, -7, 23],\n [-12, 22, -19, -11, 6, -4, 20, -5, -7, -13, -4],\n [-16, 20, 20, 18, -2, -18, -18, 23, 23, 13, 24],\n [-7, 16, -8, 7, 22, 11, 3, 6, -18, 6, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -6, 19, 0, -9, 16, 8, 5, -8, -23],\n [-8, -6, -5, 9, 16, 17, 4, 10, -22, -11],\n [22, -19, 6, 7, -13, -9, 14, 12, -20, 24],\n [-22, -11, -18, 8, 25, 4, -3, -17, -2, 18],\n [-18, 24, -20, -1, -13, 8, -1, -8, -17, 7],\n [-20, -12, -20, -8, 17, 13, 0, 10, 10, -15],\n [-8, -11, 4, 15, -1, -10, -14, -12, 21, -13],\n [13, 4, 10, 20, -10, -25, 15, 3, 1, -13],\n [-9, 2, -6, 25, -21, -2, -17, 7, 8, 20],\n [1, 11, 7, 22, 12, 3, 12, 9, -6, -7]]\nB =\n[[-21, -1, 3, 0, 20, 25, -24, -11, 19, -20],\n [-25, -17, 17, -10, -12, -16, -7, 25, -18, 22],\n [-14, -20, 9, -20, -20, 9, 18, -15, 12, 1],\n [0, 2, -18, -1, -7, -10, 24, 0, 18, -11],\n [13, -14, -2, -13, -9, -13, -9, 17, -25, -15],\n [-6, 5, 18, 9, 13, -20, 9, 2, 25, 15],\n [18, -25, -10, 23, 19, -14, 2, -11, -18, -22],\n [5, 20, 4, 9, -20, 12, -5, 4, -10, -18],\n [1, 7, 17, -14, 17, 19, 16, -3, 20, 13],\n [20, 25, 25, -25, -19, 10, -1, -5, 11, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1377", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 23, 12, -10, -25, 18, 0, -12, -20, 15],\n [25, -6, -23, 17, -14, 7, 23, 24, 19, -25],\n [-7, -24, -3, 19, -18, 8, -22, -18, 1, 0],\n [7, 17, 14, 19, 22, 14, 24, -23, -17, -16],\n [3, -5, 16, 24, -8, -9, -5, -23, 1, 6],\n [16, 3, 21, 3, 0, -17, 1, -14, -10, 21],\n [-24, 25, 13, 1, -17, 20, -24, 16, -19, -18],\n [12, -20, -7, -11, 19, 2, 4, 1, -16, 19],\n [5, -25, 24, 6, -10, -20, -24, 16, -24, -23],\n [-7, -22, 15, 17, -8, -8, 21, 20, 19, 20]]\nB =\n[[-5, -5, 13, 4, 15, -9, -21, -21, -17, -15, 12],\n [22, 14, -12, 12, -20, -12, -18, 4, -25, -1, -13],\n [1, -1, -22, 21, 5, 23, -8, -9, -15, -14, -23],\n [-11, -20, -21, 5, -18, -16, -23, -14, 2, -14, 16],\n [4, -7, -5, -9, -12, 13, 25, -15, 3, 24, -19],\n [23, -25, 15, -19, -12, -10, 9, -10, -5, -13, -8],\n [3, -5, -17, 5, 11, 19, -9, 5, -2, 21, 21],\n [-20, 6, 5, -8, 22, -17, -23, 11, -19, 0, -13],\n [8, 17, 3, 7, -21, 10, -11, -16, -22, 13, 11],\n [21, 11, 19, 12, 6, -2, -6, 22, 15, 12, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13609", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-22, 15, -15, -15, -10, 15, -25, 7, -19, -23],\n [-19, -25, 7, -19, -22, -8, 11, -12, -11, -1],\n [-8, -22, -24, 17, 0, -6, -11, -20, 11, 17],\n [16, -13, -10, 16, 12, -24, -25, -21, 4, 5],\n [17, 6, -23, -23, 16, -21, 9, -4, 6, -3],\n [12, 16, -18, -22, -20, 1, 19, -7, 16, 18],\n [18, 3, 12, 18, -20, -23, 6, 22, -10, 7],\n [-24, 17, 0, 9, 2, 17, 23, -15, 20, -2],\n [-10, -1, -3, 13, 9, -1, 15, 13, 19, 7],\n [-4, -16, -25, 20, 12, -4, 6, -3, 4, -3],\n [17, 21, -14, -7, -19, 1, 0, -8, 2, -15]]\nB =\n[[-24, -9, 20, 3, 6, 24, -11, -8, 2, 1],\n [15, 25, 21, 7, 18, 24, -16, -2, 8, 17],\n [1, -6, 15, -1, 23, 0, 17, -5, 24, -13],\n [23, 7, -16, 2, 7, -15, -12, -6, 10, 15],\n [-6, -18, -11, 7, -7, 22, -14, -9, 7, 25],\n [-6, 20, 5, 12, 25, -7, -7, 18, -13, 12],\n [23, -25, -15, 1, 11, 13, -25, -11, -8, 17],\n [-1, -25, -7, 8, -16, -14, 13, 19, -24, 6],\n [25, 0, -6, -20, -19, -24, -9, 0, 5, 8],\n [-8, 15, 17, -12, -21, -3, -25, -6, -24, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60070", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[20, 11, -25, -16, 24, 25, -21, 15, 19, -13],\n [-22, -2, 22, 1, 10, 17, 10, -24, 6, -9],\n [-14, -14, -5, -18, -4, -16, -6, 2, 25, -1],\n [23, 2, -22, 19, 0, -13, -7, 8, 19, -10],\n [19, -22, -6, 15, 0, 18, 12, 4, -20, 12],\n [-13, 10, -9, 1, 9, 14, 7, -8, -6, 25],\n [7, 5, 11, -7, 7, -9, 7, 10, -21, 14],\n [21, 19, 1, -19, -12, -22, 24, -8, 8, 23],\n [-10, 1, 12, -6, 20, -7, -25, 18, -3, 22],\n [-17, 2, -6, -10, -13, 7, -23, -11, -10, 4],\n [-1, -12, -25, 7, 11, 3, 11, -18, -25, -2]]\nB =\n[[24, -25, 20, 17, -16, -8, -5, -16, -4, 25, 19],\n [-17, -17, 14, 19, 13, -5, 5, -24, 25, -2, 7],\n [-15, -25, 23, 25, -18, -17, -5, 21, -4, 3, 14],\n [-23, 23, -1, -8, -15, 4, -1, -15, 8, -2, 22],\n [6, -23, 19, -1, 19, -6, -6, 25, -9, -6, -8],\n [-12, 8, -10, 6, -18, 16, -10, 13, 12, -22, 9],\n [2, 17, 16, -12, -21, -24, 19, 24, -2, -23, -3],\n [-15, 12, 9, -25, -20, -20, 14, 0, 9, -13, -1],\n [-4, -9, -12, -23, -22, 9, 21, 2, 17, -24, 19],\n [22, 12, 21, -22, 21, 23, -14, 8, 11, 18, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62117", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the product of the following matrices:\nA =\n[[4, -5, 2, 16, 24, -21, 7, 8, 6, 1],\n [-23, 14, 18, 16, 25, 18, -22, 10, 10, 15],\n [-23, 24, -25, 13, 14, 13, 1, 18, -23, 10],\n [11, 4, -25, -16, -23, 12, -23, 11, 8, -6],\n [-15, -7, 1, -2, -20, -25, -7, -16, 18, 6],\n [22, 11, 10, -24, 11, -12, 20, -13, 24, -9],\n [1, 3, -13, 23, -1, -2, 22, 10, -3, 0],\n [22, 10, -20, -10, -16, 13, 1, -24, -16, 22],\n [-18, -17, -13, -18, 1, 20, 16, -5, 15, 8],\n [3, 4, 18, -10, -25, 19, 21, 3, 16, 4],\n [-4, -11, -6, 12, -3, 5, -9, 9, -24, 21]]\nB =\n[[5, 0, 5, -18, -10, -14, -7, 18, -13, -25],\n [-13, -22, 25, 19, 22, 5, -18, 1, -18, 25],\n [-2, -4, 14, 3, -17, -9, -25, 18, 6, -6],\n [-25, -1, 15, 1, -3, -8, 5, 2, 16, -5],\n [-14, 11, -2, 25, 13, 23, 7, 25, -9, 7],\n [-10, 25, 1, 15, 2, 10, -19, 8, 20, -25],\n [-22, 0, -6, 25, -13, 9, -16, -18, -8, -9],\n [-21, 4, 5, 13, -2, -9, 8, 17, 9, -11],\n [-15, 8, -18, -11, 10, 11, -3, 13, 0, 8],\n [-15, -14, -18, 20, -18, 15, -21, 19, -16, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-761", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[17, 11, -4, -1, -22, 11, -18, 4, -17, -11],\n [-25, 25, 18, -13, -22, -10, 18, 21, -25, -12],\n [1, 0, 21, 6, 14, -24, -10, 2, 23, 0],\n [-15, -3, 4, 5, -24, -6, 3, -16, -8, 5],\n [-22, 1, -8, 18, 5, -19, -7, 13, -24, -12],\n [10, 17, 20, 2, 12, -23, 3, 1, 22, 22],\n [-23, 22, 4, -8, -18, -16, -4, -2, -23, -12],\n [21, -2, 1, 8, 5, 22, 1, 19, 3, 3],\n [21, 20, 24, 22, -14, -12, 1, 21, -24, 11],\n [19, -8, -13, -17, 3, -16, -6, 11, 3, -20]]\nB =\n[[15, 0, -4, 17, 21, 12, 0, -9, -25, 5, -17],\n [0, 24, -20, 20, -24, 16, 1, -25, 4, -8, 8],\n [-5, -25, 21, 6, 17, 8, 21, -12, -21, 10, 6],\n [-17, 19, 9, -1, -15, 20, 15, -13, 4, 8, 6],\n [4, -8, 13, -23, -19, 13, 8, -18, 17, 22, 6],\n [14, -12, -21, -19, -16, -6, -5, 2, 3, -20, 12],\n [16, 15, -23, 11, -9, 7, -16, 11, 7, 2, -3],\n [16, 20, 22, 24, 25, 20, -16, -18, -10, 17, 6],\n [23, 19, -1, 11, -11, -10, 16, -9, 1, 21, 0],\n [-18, 15, 15, -15, 1, -17, -15, -19, 2, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57311", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 3) of the product matrix AB given:\nA =\n[[25, -17, 9, 25, -13, 22, -22, -16, 0, -23],\n [24, 17, -9, 23, 1, -4, 18, 10, -18, 7],\n [0, 5, -15, 3, 3, 12, 11, -11, 25, -11],\n [-19, 23, 3, 7, 20, 25, -10, 8, -5, -19],\n [18, 3, -17, 23, -19, -12, 4, -2, 25, 8],\n [-18, -25, 8, -6, 5, -11, -11, 25, 8, -21],\n [-4, -14, 19, 5, 3, -4, 22, -18, 11, 2],\n [-5, -15, -15, -3, 16, -13, 17, 1, -3, 25],\n [7, 0, 17, 10, 7, 12, -10, -16, 17, 22],\n [15, 18, -9, 17, -3, -25, 3, -1, -20, -16],\n [14, -12, -3, -7, 5, 13, 13, 12, -7, 17]]\nB =\n[[-25, 12, -13, 24, 8, -9, 6, 23, 8, 7],\n [18, 2, 18, 3, 11, -2, 22, -10, -13, 0],\n [-19, 18, -12, 6, 15, -15, 6, -15, -6, 8],\n [21, 24, -4, -3, 3, -14, 13, 5, 3, 5],\n [-14, 9, 16, 15, 1, -11, 4, -19, 10, 20],\n [-2, -8, -2, 6, -14, 2, -15, -23, 11, -23],\n [3, 6, 12, 5, -25, 11, -5, 20, 15, 16],\n [-6, -15, -16, -23, 22, -12, 19, 19, 5, 9],\n [23, -17, -20, 3, 20, -4, 23, 20, -23, -24],\n [2, 11, -21, -17, 6, -9, -15, 12, 9, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 10, -7, -1, 20, 14, 5, -3, 25, -12],\n [1, 9, -13, 10, -2, 7, 23, -19, -17, 24],\n [-5, 6, -24, 18, -1, -25, -15, -10, -3, -11],\n [1, -10, 20, 7, 13, -18, 22, -25, -7, 0],\n [11, 21, -23, -2, -4, -25, 13, -17, 7, -3],\n [8, 23, 23, 9, 23, -16, 6, -24, -19, -2],\n [-23, -14, 13, 16, 10, 1, -25, 20, 10, 6],\n [1, 18, 5, 7, 20, 6, -22, -1, 13, 3],\n [-17, -12, 24, -21, -9, 6, -20, -21, 3, 2],\n [-16, -3, 23, -7, -22, 20, 6, -6, 20, 2]]\nB =\n[[10, -3, -23, -2, -24, -8, 23, 6, 22, 20],\n [22, 22, 4, 12, 1, 12, 12, -12, -25, -25],\n [24, 14, -18, -9, -25, -12, 17, 18, -13, 4],\n [-13, -23, -4, 9, -12, 14, 19, -4, 7, -14],\n [-2, -21, -17, -24, 5, 20, 3, 3, 10, 4],\n [-4, -5, 15, 23, -14, -19, -1, -18, 7, -10],\n [14, 19, 25, 19, -16, -14, -4, -19, 19, -5],\n [14, 12, -4, -17, -6, -13, 25, -2, 4, 15],\n [24, -8, -1, -6, -15, 14, 8, -3, 0, -3],\n [23, 16, 21, 7, -1, 8, 0, 13, -21, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47952", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 5) of the product of the following matrices:\nA =\n[[4, 19, 1, 11, -1, 17, -16, 18, 8, -14, 3],\n [13, -7, -7, 3, -24, 0, 19, 11, 22, 25, 8],\n [4, -14, -6, 7, -17, -24, 2, 8, -5, -7, -12],\n [-9, -21, -5, -4, 14, -6, 2, 6, 19, -7, 2],\n [-3, 7, -8, 9, 20, 11, 16, 10, 18, -7, 0],\n [10, 17, 0, -19, -3, -21, -3, 10, 6, -11, 1],\n [-9, -6, -10, 22, 16, 2, 5, -10, -12, 21, -16],\n [-24, 7, 15, -4, -24, -19, 15, 19, 18, 4, 12],\n [13, -7, 21, 12, -9, 11, -16, -11, -21, 24, 12],\n [17, 9, -22, 9, -25, -9, -5, 20, -4, -21, 20],\n [10, 12, -17, -6, 20, 16, 19, -12, -6, 0, -22]]\nB =\n[[25, 13, -6, 16, -15, -19, 18, 5, 24, -18, -3],\n [22, -11, -25, 21, -16, 15, -2, -11, 23, 22, -5],\n [-4, -2, -16, -3, -10, -21, 7, 10, -1, 14, 0],\n [-24, 8, 5, 14, 18, 19, -7, 11, -8, 24, -23],\n [-19, -3, 11, -25, 24, -19, -4, -23, -7, 4, -17],\n [9, 9, -13, 0, 19, 25, 2, -1, 13, -23, -15],\n [4, 7, 8, 15, -23, -21, 5, -22, -18, -9, -4],\n [12, -2, 5, 23, 23, 20, -1, 12, 6, 23, 0],\n [10, 1, -3, -6, 20, 1, -9, -12, -23, 14, 1],\n [19, -12, 2, 18, -1, 14, -15, -14, 7, -6, 8],\n [-3, -7, 10, 18, -25, -16, -25, -21, -4, 17, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "943", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-17, 18, -19, 22, -5, -19, -17, 14, -17, 25, 23],\n [-14, 18, 10, -17, -16, 23, -16, 18, -9, 12, -22],\n [-10, 23, 22, 10, 1, -20, 14, -17, 6, 12, 4],\n [-12, 19, 24, 3, 2, -4, 5, -9, -9, 23, -11],\n [21, 6, 2, -15, 13, -9, -14, 25, 25, 13, -17],\n [-1, 0, -22, -7, -13, 3, 21, -17, 16, 14, -19],\n [-19, -5, -17, 24, 19, 1, 22, -5, -21, -21, -18],\n [-11, -13, 7, 18, 21, 6, 10, 23, -3, 8, -8],\n [-14, -3, -24, 18, 1, 24, 5, 22, -4, -21, -9],\n [17, -19, -8, -24, 5, 2, -23, -17, 7, 2, 2]]\nB =\n[[-8, -11, -15, -1, -21, 15, 20, 1, -14, -16],\n [-17, -24, -17, 21, 25, -10, -25, -5, 24, 11],\n [13, -25, 23, 21, 14, -12, 14, 22, 18, 6],\n [-2, 13, 11, 7, 4, 0, 17, 18, -12, -14],\n [18, -23, -19, -5, 1, -16, -16, 10, -9, 16],\n [8, -8, 0, -24, -17, 19, -21, 0, 15, -11],\n [-1, 0, 2, -3, -5, -4, -7, 24, -16, 16],\n [10, 5, 5, 9, -15, -9, 7, -4, 17, 0],\n [10, 22, -24, 6, -23, 12, 24, -3, 24, -25],\n [-21, 18, 11, -25, -8, -21, -8, 9, 6, 0],\n [7, 16, -2, 1, -7, -8, -11, 1, -15, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-584", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-23, 13, -19, -14, 7, -4, 9, -12, 0, -7, -5],\n [15, 19, 5, -21, 9, -9, 6, 25, -22, -16, 4],\n [11, 25, -17, 0, -4, -5, 22, -3, -14, 5, -9],\n [14, 19, -5, 21, 15, 7, -11, 6, 9, -11, 3],\n [-15, 3, 15, 25, -4, 0, -8, -1, -5, -2, 24],\n [2, -23, -13, 12, -20, -15, -3, -17, 23, -9, -17],\n [-7, 9, 6, 2, 2, 20, -11, -7, 7, -3, 2],\n [-22, 21, 21, 5, 9, -21, 7, 22, 6, 22, 22],\n [-11, 11, 8, 14, 21, -17, 15, 9, 21, -2, -8],\n [-9, -25, -15, 7, -20, 3, 18, -6, -8, -12, 19]]\nB =\n[[17, -6, -8, 1, -8, -9, -1, -21, -20, 14, 10],\n [7, -11, 13, -10, 12, 13, -2, -5, 12, -13, 3],\n [8, -21, -23, -5, -17, -23, 18, 4, -23, 23, 21],\n [23, 13, 15, 24, 8, -9, -12, 23, -15, -25, -25],\n [-11, -24, -14, 19, 16, -24, -3, 8, -9, 15, -12],\n [-15, -6, 18, -19, -25, 22, -11, 19, 12, 8, -17],\n [-25, -17, 16, -24, -4, -1, 25, -12, 9, -10, -7],\n [15, 5, -24, 6, 10, -15, -18, 22, -21, 8, 6],\n [21, -20, -18, 8, -22, 10, 18, -1, 0, 7, -17],\n [21, -18, -9, -11, 16, -13, 17, 22, 21, 24, 18],\n [-23, -14, 3, -25, 6, 11, -6, -18, 11, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2885", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 1) of the product of the following matrices:\nA =\n[[-1, 24, 14, 19, 23, -18, 4, 4, 1, 9],\n [24, 18, -13, -5, -17, -2, 22, 7, -25, -18],\n [-23, -12, -12, 23, 7, -22, 12, -1, 21, -13],\n [15, 13, -1, 12, -17, 12, 17, 12, 9, 3],\n [24, -12, 12, 8, -1, 16, 2, 25, 4, 13],\n [11, 21, 16, -24, -5, 8, -7, 14, 12, 5],\n [0, -14, 4, 0, 22, 5, 22, -11, -16, 10],\n [14, 0, -17, -9, -20, -4, -10, -4, 13, -22],\n [-22, -17, -12, 16, 25, 0, -23, 6, -15, 25],\n [-23, -13, 18, -13, -2, -6, -16, -3, 16, 7]]\nB =\n[[9, -12, -10, 4, -7, 7, 15, -24, 24, 12],\n [23, -18, -6, -23, -5, -25, -5, 24, -18, -24],\n [-3, 15, -15, -10, -17, 23, 6, 21, 13, 10],\n [-3, 21, 23, 4, -16, 5, 18, 0, 22, 13],\n [16, 4, -24, 3, 6, 18, 25, 12, -5, 1],\n [-2, 8, -3, -12, 13, -21, -17, 19, 21, 11],\n [-18, -19, 4, -14, -6, 3, -14, -6, -4, 20],\n [-3, 22, 19, 0, 19, 21, 17, 2, 14, -17],\n [-21, -24, 16, 2, -13, -11, -12, 17, 20, 13],\n [-12, -23, -16, 12, -20, -6, 9, 22, 17, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[23, 18, -23, -22, -15, 15, 5, 3, 12, -6, -2],\n [-3, -4, -4, 15, -6, 20, 12, 22, 24, 15, -19],\n [-2, 24, 18, 11, 20, -1, -12, 3, -23, 13, 3],\n [-10, -5, -4, -5, -4, -17, -3, 23, -17, 24, 20],\n [6, 10, 21, 10, -21, 0, -22, -2, 15, 17, -12],\n [1, -14, -8, 18, -17, -24, 25, 12, 6, -13, 21],\n [-2, -24, 22, 12, 20, -7, 21, -8, 18, -24, 0],\n [-2, 22, 1, 3, 21, -18, 5, 8, -12, -22, 17],\n [23, 3, 13, 7, -5, 15, 23, -25, 1, -24, 25],\n [17, -16, -16, 4, -25, 5, 9, 22, 3, -13, -17],\n [14, 17, 15, -15, -2, -1, -13, -12, 15, -23, -20]]\nB =\n[[20, -13, -25, 3, -12, -14, 0, -3, -23, -12],\n [8, -3, -16, -22, 13, 23, -16, -2, 8, -2],\n [-1, -11, -14, -25, 16, -17, -12, 15, 5, -2],\n [-16, 16, 17, -8, -23, -14, 9, 18, -3, -4],\n [-15, 20, 23, -3, -14, 3, -1, -2, -22, 11],\n [3, -23, 5, -1, 21, 11, -3, 23, -4, 3],\n [10, 25, -13, -23, 20, -4, 23, 10, -16, -17],\n [-7, -18, 7, -6, 4, 9, 5, -7, 24, 20],\n [-12, -16, -23, 8, 25, 2, -7, 13, 0, -22],\n [-14, 0, -19, -23, 0, -24, -14, 6, 25, 12],\n [-15, 6, 19, -11, -20, 0, -18, -18, 12, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5103", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 10) of the product of the following matrices:\nA =\n[[-9, 13, -7, -23, 15, 23, -17, 20, 7, 6, 6],\n [-20, 23, 23, 3, 11, -9, 24, -7, 5, -7, -3],\n [24, 21, 9, -12, -25, 23, 7, 23, 10, -25, -6],\n [-4, 9, -23, -14, 17, 11, -13, -14, -24, -6, -25],\n [15, 9, -2, 12, 0, -15, 17, -11, -20, 14, -17],\n [24, -20, -9, -3, 5, -10, 25, -4, -10, 19, -14],\n [-17, -20, -22, 12, -9, -16, 14, 9, 21, -5, -7],\n [1, -15, -20, 15, 17, 2, -23, 15, 19, -2, 11],\n [-13, -11, -17, 13, 9, 19, -8, 17, -23, 2, -10],\n [16, 15, 21, 17, -3, 6, -16, 12, 12, -13, -11],\n [2, -13, 9, -24, -25, 15, 6, 4, -4, -22, 20]]\nB =\n[[-2, -12, -9, -12, 14, 13, 15, 1, -5, 14],\n [9, 0, 5, 7, 23, -15, -10, -20, 8, 15],\n [6, -5, 3, -15, -21, 1, 2, 5, 24, -15],\n [-13, 17, -20, 1, 4, 22, -7, -12, -17, 19],\n [2, 2, 20, -1, 0, -22, -23, 8, -5, -9],\n [12, 8, 18, -14, -1, -5, -8, 10, -20, -6],\n [-6, 6, 5, -6, 25, 4, -23, -6, -18, -5],\n [22, -3, -25, -24, -16, 11, 4, 25, 18, -2],\n [6, 24, 4, 12, -12, -23, -1, 19, -19, -9],\n [15, 1, 12, 12, -3, 6, -24, -15, 8, 21],\n [8, -19, -16, -1, -24, 23, 4, -9, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[20, 9, -9, 21, -4, 25, -1, -6, -10, -1, -11],\n [11, -11, -11, -8, 11, -25, 7, -23, 23, -4, -5],\n [20, 15, 1, -22, 25, 9, -25, -22, -2, 20, 3],\n [-4, -3, -5, -12, -18, -10, 9, -2, 0, -19, -1],\n [12, 19, 0, 0, 4, -24, 17, -17, 13, 18, -15],\n [-11, -14, 9, 24, 14, 21, -10, 23, 6, -8, 19],\n [-5, -10, -19, -21, 18, 15, 7, 5, -5, -23, -16],\n [-15, -4, -9, 24, -1, 15, 2, 24, -6, 4, 5],\n [-13, -16, 25, 7, 15, -6, 22, -12, -18, -18, 12],\n [2, -16, 14, -12, 25, -12, -20, 8, -9, -5, 13]]\nB =\n[[2, 12, -11, 10, 10, -17, 18, 9, 19, -8, -9],\n [-8, -22, 22, -6, -13, -15, 25, 17, 7, 2, -18],\n [17, -6, -8, -19, 18, 7, 25, -15, 4, 9, 19],\n [-6, 11, -16, 4, -8, -1, 6, 13, 8, 18, 13],\n [5, 2, 0, 18, -22, 17, -6, -18, -24, 24, 24],\n [1, 8, 10, -5, -18, -3, 17, -18, -21, 14, -25],\n [-5, 18, 17, -16, -24, -5, -13, 18, 24, 2, 4],\n [-8, 16, -24, -7, -5, 0, 20, -1, -7, -1, 15],\n [-6, -20, -8, 23, -8, -6, 13, 8, -16, 7, 25],\n [-7, -24, 21, 23, -23, 4, 13, -7, -5, 18, -12],\n [5, -5, -9, 25, -2, 11, 14, 15, 8, 21, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2552", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 23, 16, -14, 15, -2, -13, 8, 1, 12],\n [-5, -23, 23, -12, 17, 12, 11, 15, 16, 18],\n [4, 19, -16, -25, 13, 2, 19, -7, 4, -6],\n [-6, -3, 5, 6, 21, 0, -12, -20, 7, -18],\n [-22, -13, 9, 3, -1, 8, -15, 12, 3, 19],\n [-4, 8, 20, -15, 2, -18, -2, -16, -11, 19],\n [13, 13, -5, 10, 10, 24, 22, -6, -13, -24],\n [21, 1, -19, 15, 0, 4, -7, 14, -5, 0],\n [-16, 10, 18, 1, -18, 0, -25, -3, -17, 5],\n [-19, -17, -19, 2, 8, -10, -16, -2, -16, 20]]\nB =\n[[3, -1, 15, 4, 25, -7, 5, 4, 8, 2],\n [-7, -15, 2, -20, -9, 11, 1, 17, 10, -25],\n [-10, -22, 21, -3, 6, -23, 18, -5, -2, -11],\n [-15, -23, -7, 17, -18, 25, 8, 8, 18, 14],\n [12, 0, -23, 6, 17, 22, 17, -16, -16, 23],\n [-15, -12, 5, -17, 22, -20, 23, 9, 8, 17],\n [-8, -3, 4, -23, -11, 11, 17, -23, -11, -23],\n [3, 5, -19, -19, -15, 22, 2, 10, 17, 20],\n [14, -1, -9, 24, 12, -5, -6, -16, -20, -14],\n [-9, 19, 7, 10, 22, -7, -21, 19, 16, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5120", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 4) of the product of the following matrices:\nA =\n[[11, 22, 4, -25, -14, -11, -21, 12, -15, -6, 3],\n [-12, 0, 8, -16, 1, 18, 15, 15, -1, -16, 13],\n [6, 8, -3, 7, 6, -4, -4, -3, -7, -3, -4],\n [4, -7, -4, -25, 8, 0, -22, 22, 19, -14, 2],\n [11, -23, 2, 3, -6, -24, 11, -25, 20, 21, 10],\n [18, 16, -8, -17, 11, -1, 15, -7, -1, 23, -11],\n [20, 24, 0, 20, -6, -23, -1, -5, 8, 12, -2],\n [15, -1, -25, 3, 6, 21, -25, 9, -10, 6, 21],\n [-11, -21, -16, -4, 17, -18, -11, -6, -1, -14, 0],\n [-22, 0, -16, 22, -11, -21, 6, 6, -4, -4, -14]]\nB =\n[[-15, -2, 17, 19, 15, -10, -10, -25, 25, -3],\n [2, 6, 25, 10, 11, -23, 25, -13, 2, 2],\n [19, -2, 25, -13, -2, -21, -9, 24, -14, 23],\n [-8, 7, 5, 8, 4, 19, 6, -16, 5, 9],\n [-11, 1, 1, -25, -14, -22, -3, 8, -3, 25],\n [-7, -6, -6, 3, -13, 2, -2, -4, -4, 14],\n [-15, -18, 6, -2, -14, 23, 14, -5, -23, 13],\n [19, -8, 16, -20, 10, 19, -11, 23, 19, -11],\n [12, 25, 18, -2, -19, -17, -15, -10, -19, -1],\n [-12, -25, -6, 2, 23, 12, 8, -17, 22, -6],\n [17, 12, 5, -5, -4, -13, 18, 21, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, -6, 6, -10, -6, 15, -4, 16, 12, 19],\n [11, -11, -14, -17, 11, 18, -11, 18, -4, -14],\n [1, -7, 21, -1, -16, 9, 18, -14, 24, -18],\n [-15, 13, -7, -3, -2, -11, -6, -1, -12, -16],\n [22, 24, 3, 21, 23, 23, -14, 7, -3, -12],\n [-3, 23, 11, -4, 3, 10, -24, -6, -21, 1],\n [-23, -8, -13, -4, -13, -14, 6, 10, -19, -20],\n [14, 11, -20, -1, 1, -21, -7, -17, 24, 14],\n [-25, 20, -17, 13, -16, 23, 17, 23, -12, 20],\n [14, -1, 24, -7, 24, -9, -8, 20, 14, 24],\n [-17, -25, -20, 12, 12, 13, -9, -17, -15, -8]]\nB =\n[[19, 20, 11, -19, 9, 18, -19, 13, -15, -16, 8],\n [-2, -14, -17, -4, 12, 20, 6, -18, 22, -5, -10],\n [7, 16, -1, 25, 13, -20, -22, -3, -17, 10, -15],\n [9, -14, 9, -19, 3, -5, -23, -2, 4, 1, 3],\n [4, 10, -3, 11, 0, 24, 10, 2, 11, 25, -22],\n [3, 18, -12, 18, 19, 11, 7, 25, 5, -12, -1],\n [-17, -1, 15, 20, -1, 4, -6, -3, -25, -11, -5],\n [4, -15, 24, 0, 4, -17, -21, 21, 21, 8, 7],\n [8, -25, 25, -11, 5, -14, -19, 19, 7, 16, 6],\n [25, -21, 12, -21, -9, -19, -1, -1, -23, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8593", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[-3, -18, 5, -5, 19, 9, 15, 15, 16, 24],\n [3, -23, 18, -1, -24, 18, 15, 8, -11, 13],\n [13, 14, 21, -14, -2, -20, -20, 22, 11, 0],\n [-23, 6, 20, -8, 2, 7, -9, 6, -14, 11],\n [-5, -24, 0, 13, -9, 10, 8, -7, 6, 24],\n [-4, 24, 19, 13, -8, 25, -2, -25, 15, -24],\n [14, -2, 14, -24, 1, -24, -3, 7, 8, 6],\n [-23, 1, -14, -18, -6, -9, 19, 7, -15, -17],\n [8, 18, 17, -19, -10, 1, -11, -2, 11, 23],\n [14, -7, -3, 13, 5, 4, -19, 19, 24, 24]]\nB =\n[[-23, 12, 22, 4, -16, 8, -13, 13, -13, -1],\n [15, 8, 14, 14, 14, 8, -11, -23, 20, -4],\n [8, -21, 15, -4, 3, -18, 8, -22, -1, 24],\n [-3, -1, 8, 18, -20, 8, -5, 18, 4, -23],\n [-11, -5, -7, -7, 23, 20, 8, -12, -22, 5],\n [20, -15, 18, 19, -15, 23, -22, -10, 12, -20],\n [-8, -1, -2, 13, 21, -17, 11, 8, 8, 14],\n [14, 11, 2, 24, 22, -15, -12, 0, -18, 2],\n [-6, -1, -16, -15, 0, -3, -7, -8, 24, -7],\n [13, 14, -11, -10, -6, -7, -15, -19, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-991", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[5, 22, -18, 24, -2, -18, -13, -16, -7, 24, -3],\n [16, 7, 4, 4, 3, 11, 9, -17, -18, 22, -1],\n [16, 25, 20, 11, 12, -18, 0, -15, 14, -3, 6],\n [19, -25, 23, 22, -17, 14, 2, 7, 6, -18, 11],\n [-8, -19, -8, 22, -14, -22, -13, -15, -10, 18, -12],\n [-10, -4, -8, 14, -1, 9, -19, -6, 1, 3, -16],\n [-15, -6, 7, 17, 11, -13, -10, -15, -21, 12, -23],\n [-24, 12, -16, -20, -5, 5, 8, 23, 6, 3, -25],\n [7, 12, -9, 8, 23, -10, -19, 10, -13, -6, -22],\n [-21, -10, -17, 17, -14, -12, -11, -21, 16, -8, -18]]\nB =\n[[-18, -1, -22, 25, 0, -15, -20, 7, -4, 3, -21],\n [-25, -4, 9, 5, -23, -23, -19, -25, 16, -2, 11],\n [4, 6, 6, -5, 22, -10, -22, -9, -13, 9, 14],\n [8, -15, 10, -1, 14, 4, -13, -2, 10, 8, -18],\n [-8, -19, 23, 20, -4, -19, -13, -24, 18, -24, 3],\n [1, 14, -8, -24, -22, 23, 20, -18, 10, 22, -17],\n [-8, 24, -4, 19, -15, 1, 6, -24, -24, 4, -4],\n [-4, -2, 1, -15, -13, 1, -11, 22, 22, 23, -9],\n [13, -17, -3, -22, -11, 17, 5, -20, 0, -25, -4],\n [4, -4, 7, -21, 10, 20, -16, -25, -14, 23, -23],\n [-16, -25, -7, -8, 19, 5, 23, -4, -22, 15, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 10) of the product of the following matrices:\nA =\n[[-16, -11, -21, 24, 17, 19, -9, -8, 22, 24, -21],\n [-18, 20, 1, -1, 0, 19, -3, 15, -3, 3, 7],\n [-8, -19, 6, 15, -19, -18, 24, -5, 16, -9, 25],\n [7, 4, -24, 20, 10, -4, 6, 23, -1, 23, -18],\n [7, 3, -9, 14, 19, -24, 23, 13, 22, 23, 5],\n [-22, 16, 0, -17, 5, -16, 25, -20, 18, 0, -15],\n [-11, -6, -12, 18, 25, -5, 18, 1, 4, -19, 11],\n [-11, -10, 17, -6, 23, 12, -6, -4, -20, 18, 14],\n [-6, -21, -15, -24, 4, -18, 14, -18, -9, 13, 9],\n [4, -25, -21, -10, 10, -11, 23, -9, -13, -2, 17],\n [22, -22, 21, 18, 20, -13, -17, 0, 21, -10, 16]]\nB =\n[[11, 17, -20, -15, -24, 4, -7, -3, 21, -14],\n [13, -20, 17, 10, 20, 16, -11, 10, -13, -18],\n [-1, -2, 5, 14, -13, 3, 6, 17, 11, -8],\n [0, -8, 8, 5, -11, 11, -6, 2, -22, -18],\n [-8, 6, -3, -11, 18, -19, 22, 5, 6, 14],\n [-12, -7, 24, 14, -10, -17, -25, -1, -18, 13],\n [6, -18, -13, -23, -24, 19, 2, -22, -3, 8],\n [-19, 4, -17, -7, -17, -3, -15, -13, 3, 5],\n [-18, 20, -7, -21, 22, 1, 13, -12, -4, -4],\n [-21, -10, 13, 0, -10, -14, -10, 23, 14, -14],\n [6, -21, 10, 2, 25, 18, -22, 13, 13, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-459", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, -1, 9, -2, -7, -3, 5, -7, 6, -13, 20],\n [-8, -19, 19, -2, 20, -9, -11, -17, 8, 9, -18],\n [24, -15, -2, 16, 4, -5, 17, 9, -14, -17, -14],\n [2, 3, 20, 19, 14, 9, 3, 25, -20, -10, 20],\n [2, -25, 3, 14, -20, 1, 11, -4, -19, -25, -13],\n [22, 25, 18, -12, -11, -14, 23, 15, -22, 24, 18],\n [17, -5, -24, -5, -12, 18, -24, -15, 11, -12, 21],\n [-6, 9, 1, 23, -20, -19, 19, -25, -13, 12, -9],\n [12, 10, 12, -25, -25, -7, 25, 4, -13, -19, 17],\n [-6, 18, -17, -13, 13, -6, -1, -21, 22, 24, -1],\n [-14, 0, -4, -25, -18, 10, 23, -23, -4, 24, 14]]\nB =\n[[-5, -5, 5, -25, 15, 1, -24, 3, 16, 20, -25],\n [16, -18, 9, 19, 9, -19, -3, -3, 17, 20, 13],\n [-7, -11, -18, 7, 9, 14, -13, 24, 5, -19, -6],\n [12, -18, 10, -12, 4, 25, -17, -13, -14, -24, 12],\n [-5, 3, -6, 24, -17, -11, 7, -19, -23, -3, -4],\n [13, -13, -17, 8, -14, 8, 19, 7, 24, 9, 2],\n [13, -23, 21, -14, 17, -13, -23, -8, 21, 0, -16],\n [-22, 11, -14, 25, -10, -9, 14, 5, 0, -24, 3],\n [4, 22, 21, -15, 11, 8, -19, 13, 3, 7, 23],\n [1, -10, -9, -15, -12, -13, 9, 0, -1, 14, 18],\n [17, -14, 21, -22, 16, 22, 15, 23, 1, 19, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4703", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-18, 3, -23, -5, 5, -13, 5, -9, 22, 6, -2],\n [-24, 16, -23, 0, -24, 7, 8, 0, 8, 12, -12],\n [5, -6, -16, -6, 7, 19, 22, -24, 20, 25, -14],\n [-10, -17, -15, -5, -14, -22, 0, -7, 16, 21, -9],\n [18, -25, 22, -18, 4, 25, 15, -2, 17, -9, 4],\n [15, 17, -17, -24, 0, 6, 1, 15, -15, -25, 11],\n [-8, -18, 1, -8, -17, -24, -9, -15, 20, -20, -21],\n [-14, 18, 16, 9, 25, -2, 4, -9, 21, 10, -20],\n [6, 8, 18, -10, -19, 6, -9, 6, -12, 0, -17],\n [-13, 24, -1, -14, 19, -10, 23, 4, -5, -2, 17]]\nB =\n[[-21, 21, 7, 23, 5, 24, -17, 23, 9, -18],\n [-15, -9, -10, -6, 1, -12, -4, 23, -19, -15],\n [-9, -13, 25, -9, -15, -22, -10, 5, -5, 7],\n [-13, 23, 3, -11, -16, 7, -11, 17, -13, 9],\n [-5, 4, 22, 20, 17, 16, 19, -19, 23, -2],\n [-10, -21, -20, -24, -23, -16, -2, 22, 7, -6],\n [-4, 6, 4, -23, -22, 25, -22, 13, 5, -17],\n [4, 3, -1, 13, 9, -1, 11, 10, -15, 0],\n [16, 20, -1, -5, 23, -24, -16, 13, 9, 7],\n [15, 5, -22, -23, -21, -9, 23, -13, -25, 19],\n [13, 18, -3, 15, 24, -1, 5, -13, -25, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1726", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 5, -18, -24, -14, 7, 4, 15, 1, -1],\n [12, 24, 7, 12, -10, 6, -2, -24, -24, -6],\n [1, -4, 13, 22, -7, -19, -23, 24, 8, 15],\n [-3, -21, 17, -23, -2, 1, 8, 25, 17, -5],\n [-14, 6, 21, 23, -4, 8, -3, -25, -22, -9],\n [0, 5, 13, 11, 14, 7, 2, -16, 10, 20],\n [-17, 0, 23, 20, 25, 8, -12, 15, 0, 11],\n [5, 21, 12, 22, 17, 2, 15, 18, 14, -9],\n [-14, 1, -25, 14, 7, -13, -21, 11, 14, 17],\n [2, -2, -6, 14, 16, 11, -6, -3, -23, -21]]\nB =\n[[-11, 20, -21, 8, 13, 13, 20, -3, 21, -9, -17],\n [-22, 4, 22, -12, 4, 5, -25, 1, -24, 19, 14],\n [15, -16, -2, -6, 16, -10, 15, 12, 18, 23, 16],\n [17, 15, -8, 9, 4, 11, -21, 11, -15, -22, 11],\n [25, -15, -14, 23, 21, 2, 0, 8, -25, -20, 7],\n [21, -2, 8, -18, -10, -10, -10, 25, 8, -6, -12],\n [0, -24, -7, -24, 24, 0, -1, 23, -7, 20, 23],\n [22, 25, -9, 4, -14, -5, 10, 14, 2, 7, 20],\n [-17, -8, -2, 6, -3, -14, 8, 0, -20, -21, -3],\n [24, 20, -11, 6, -13, 15, 2, 25, 7, -18, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7713", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 11) of the result:\nA =\n[[13, 6, -10, 19, -13, -6, -7, -15, 1, -10],\n [-17, -13, -7, 4, 16, 13, -9, 4, 3, 16],\n [-24, 24, 22, -23, -6, -25, -21, 7, 13, -3],\n [-8, -22, 15, 7, 0, -4, 4, 0, -25, -20],\n [-9, 5, 22, 25, -22, -16, 22, 13, 8, -4],\n [-4, -19, 13, 11, -11, -7, -16, 11, 11, 24],\n [-22, 20, 24, 15, -1, 2, 23, 18, -8, 22],\n [9, -7, 16, -6, 13, 7, -25, 21, -25, 15],\n [20, 19, -7, 22, 23, -17, -12, -23, 4, 15],\n [-25, -21, -3, -20, -6, 20, 16, -18, 5, -11]]\nB =\n[[0, 7, 22, 13, 6, -25, -21, -4, 5, 16, -21],\n [-18, -20, -16, 20, 14, 12, 15, 21, -10, 2, -25],\n [20, -8, 13, 18, 16, 21, 13, 11, -15, -23, 3],\n [-22, 5, -15, 4, -11, -11, 6, 3, 23, 17, 2],\n [-5, 12, 13, -15, 6, 1, -2, 11, -25, 6, -25],\n [19, 8, -8, 3, -20, 5, -12, -15, -21, -4, 25],\n [-13, -14, 15, -22, 12, -22, 4, -25, 23, 5, 23],\n [16, 24, -3, -12, 9, -9, 6, 10, -3, 8, 21],\n [12, 15, 13, -4, 16, -24, -6, -12, 12, 11, 11],\n [-14, 2, -18, 3, -5, 13, 22, -8, 22, -7, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-696", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-17, -3, 4, -4, 3, -20, 24, 9, -12, -21, 20],\n [-8, 9, 4, -19, 8, 12, 16, -7, 19, -15, 15],\n [-9, -15, 19, 2, -23, -16, -2, 7, 0, -21, -2],\n [18, 0, -19, -14, 13, 18, 10, -9, -10, 5, -8],\n [6, -24, 23, -16, 22, 13, -12, 21, -16, 2, -2],\n [14, 8, 23, 15, -17, 21, 3, 19, 15, 10, -17],\n [15, 21, -15, -5, -13, 23, -2, -25, 9, 9, -5],\n [21, -21, -5, -22, 7, 10, -18, 3, -19, -25, -21],\n [-13, 0, -14, -18, 23, 8, -4, 24, -17, -17, 19],\n [-8, -9, -19, 13, 25, 8, -10, 2, -1, -4, 8],\n [-11, -10, -10, 12, -4, 3, 6, 17, -2, 15, 24]]\nB =\n[[-3, 12, -3, -1, 0, 10, 24, 8, -13, 7],\n [15, 20, -22, 10, -6, 3, -11, -11, -13, -12],\n [-4, -25, -25, 5, 7, 21, -25, 12, -2, 13],\n [-4, -3, -24, -4, -17, -22, 24, -1, -11, -2],\n [14, -19, -18, 1, 1, 19, 9, 12, 4, 13],\n [3, -21, -8, -11, 0, -24, 5, -1, -1, 6],\n [-4, -16, 10, -14, -5, -11, -15, 20, -19, -2],\n [4, -12, 14, 20, -20, 24, 20, -18, 10, -14],\n [-21, -13, -7, -4, -14, 6, 24, 12, 12, -9],\n [0, -10, -14, 11, 20, -10, -21, -18, -19, 1],\n [0, -13, 9, 20, -9, -19, -17, 16, -16, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-627", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[16, 12, -12, 11, -13, -18, 15, -16, 7, 11, -6],\n [-22, -25, 25, -7, -2, 21, -15, -4, 11, -23, -9],\n [22, 14, -6, 9, 18, 14, -11, -15, -13, 0, -3],\n [14, -13, 22, 24, -10, 19, -12, 14, 8, 14, 3],\n [2, 1, 12, -13, -23, 13, 12, -21, -10, 5, -4],\n [-23, -21, -23, -11, 8, -11, 1, -13, 8, -8, -16],\n [6, -22, -24, 4, 5, 20, -23, 18, -21, 8, -12],\n [11, -19, -11, -7, -7, -9, 22, 14, -13, -5, 17],\n [-25, -8, -2, 4, -19, 1, 1, -23, -10, -22, 19],\n [-25, 7, 18, 19, 0, 13, -23, -22, 7, 24, -21],\n [3, -15, -23, -8, 4, -9, 20, 4, 4, 7, -9]]\nB =\n[[13, -10, 7, 21, -24, -24, -2, -21, 10, -23],\n [14, 6, -12, 12, 17, -21, 11, 20, 0, -9],\n [-7, -15, -19, -13, 25, -1, 24, 22, -14, 5],\n [2, -11, 7, -15, 13, 6, -10, -17, 15, -14],\n [-7, -12, -14, -2, -17, -5, -14, 19, 11, -21],\n [-17, 25, -6, -20, 14, 24, -13, -10, -6, -21],\n [17, -9, -16, 4, -19, -15, -18, 25, 11, 5],\n [22, -25, -1, 2, -3, 25, 3, -4, -16, 20],\n [-9, -13, -10, 25, -14, 22, 23, -11, 13, -7],\n [-5, 6, -21, 21, -11, 6, -25, -11, 9, -6],\n [5, -6, 21, -2, 14, -16, -12, 9, 3, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4300", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-16, -24, -3, -8, -25, -15, 11, 10, 7, 10, -2],\n [-1, -3, -4, 7, 21, -7, 8, -3, 20, 0, -4],\n [-23, -22, 7, -15, -6, 24, 6, 22, -11, -1, -9],\n [-4, 8, 7, -1, -12, 20, 24, 4, -4, -4, -7],\n [12, -22, -18, 19, 13, -16, 24, 2, -5, -25, 11],\n [8, -15, -10, 13, -12, -25, 5, 18, 17, 23, -14],\n [1, -9, 24, -10, -25, 4, 11, -3, 1, 11, -10],\n [-2, 2, 4, 0, -2, 5, -1, 25, -24, -19, 22],\n [-3, 3, 9, 4, 3, 5, 24, 16, -24, 25, -11],\n [-10, -18, 2, 14, -9, -12, -5, 24, 1, -5, 6],\n [-10, 2, 12, 3, 23, 25, 10, -2, -5, 13, 24]]\nB =\n[[-18, 2, -8, -7, -7, 12, 18, 0, -20, 20, 23],\n [0, 2, 18, 6, 8, 19, 11, -1, -4, 5, -20],\n [5, -25, 14, -17, -14, -5, 16, -23, 16, 20, -21],\n [11, -13, 3, 2, 23, -1, -16, 8, -11, 4, -13],\n [11, 23, -21, -12, -16, 21, 8, 5, 25, -21, -20],\n [-13, 14, -13, 20, 22, 7, 11, -3, -5, -18, 8],\n [5, 5, -6, 9, -24, -2, -15, -22, 0, -12, 20],\n [16, -6, 10, -1, 13, -16, 9, -21, -22, 23, -6],\n [-3, 17, -21, 3, 18, 3, 20, 6, -4, 19, 17],\n [18, -19, 7, -4, 15, 2, -5, 25, 10, -22, 17],\n [-20, -7, 25, -15, 24, -9, 20, -8, 20, -13, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-351", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[25, -15, 25, 1, 23, -10, 24, -11, -12, -11, -8],\n [-14, 0, 16, 14, -8, 0, 20, -8, -25, -10, 11],\n [-5, -18, -24, -7, 3, 4, -23, -18, 9, -8, 0],\n [-1, -18, -8, -2, -21, 0, -16, -15, -22, -16, 11],\n [-14, -16, -14, -21, 17, 1, 7, 6, -21, -3, -2],\n [20, -24, 4, -16, -25, -13, 10, -23, 18, 18, -10],\n [-12, 14, 19, 22, 21, 20, -21, -1, 12, 3, -9],\n [-17, -8, -14, 19, 23, 13, 2, 6, -6, 14, -25],\n [-14, -4, 25, -18, -14, 12, -2, 12, 13, 15, 2],\n [-14, 5, 12, 12, 2, -17, -4, -19, -22, 3, 19],\n [-16, 16, -5, -22, -2, -5, -8, 0, -18, -3, 21]]\nB =\n[[-17, -1, 10, 6, -19, 7, 5, -9, 9, -4, 3],\n [25, -8, 21, -16, -11, -19, 12, -12, 0, -8, -8],\n [-20, 19, 17, -1, 15, -14, 25, 4, -7, -5, -10],\n [9, -19, 16, -7, 12, 0, 15, -8, -14, -21, 0],\n [-21, 12, -8, -20, -25, -15, -10, 0, 13, 23, -8],\n [10, 11, 0, 7, -25, 1, 11, -4, -7, -13, 11],\n [24, -23, 1, 9, -17, -6, 0, 20, 9, -5, 6],\n [-4, -12, 3, 5, -9, -3, 10, -1, -8, -10, -24],\n [0, 8, -14, 22, -16, 3, -24, -10, 10, 16, 23],\n [10, -4, -20, 9, 15, 11, 5, 15, 19, -24, 9],\n [2, -19, -5, 18, -1, -8, 15, 19, 17, -13, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61626", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[21, -12, -9, -13, -15, -16, -9, 3, 18, -24],\n [-25, 21, 1, -7, -8, 9, -17, -1, -4, -13],\n [17, 3, 25, -4, -10, -7, -18, -14, -24, -21],\n [-12, -10, 25, 8, 16, -16, -18, 18, -1, 25],\n [1, -16, 10, 13, -19, -11, 24, -13, 7, 9],\n [-24, 14, -15, -5, -12, -1, -3, 18, -25, -20],\n [10, 23, -8, 23, 16, 11, -21, -25, 4, -25],\n [22, -12, 2, 5, -3, 16, 5, -19, -6, -6],\n [5, -17, -15, -20, 17, 20, -8, 3, -25, 18],\n [7, -23, 12, 19, 11, 15, -10, 12, 9, 0],\n [10, -5, 10, -7, -17, 1, 5, -11, 6, 3]]\nB =\n[[-17, 18, 11, -9, 23, -12, 13, 25, 14, -20],\n [12, 6, -20, 25, 25, 6, 23, 8, 8, -14],\n [-17, -21, -9, 2, 24, -4, -20, 24, 6, -7],\n [22, 19, -9, -16, -11, 24, 13, 12, 22, -5],\n [14, -23, 4, -11, 1, 5, -10, 2, 19, 14],\n [11, 17, -17, -17, -14, 2, -19, 9, 10, 21],\n [12, -25, 8, -4, 4, -6, 25, -18, 19, -19],\n [-24, 4, -14, 10, 16, 12, 1, 8, 12, -15],\n [-6, 4, 17, 6, 0, -3, 15, -2, -24, 15],\n [6, 22, -11, -20, -10, -15, 19, 20, -17, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54955", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[-19, 4, -4, -22, -21, -4, -22, 14, -22, 17, 19],\n [-11, -10, 16, -6, -16, 7, 5, 12, 18, -25, -1],\n [11, -8, -1, -11, -22, 9, -22, 16, -6, -14, 4],\n [15, -4, 10, 8, 1, -1, 13, -14, -14, -5, 24],\n [7, -19, -7, -2, 19, -6, -21, 4, 25, -19, -6],\n [21, -9, 8, -19, -15, -8, 4, -6, -24, -19, 1],\n [-11, -7, 8, -24, 2, -24, -15, -20, -3, 20, -16],\n [7, -7, -15, -2, 2, 19, -14, 2, -21, -7, -18],\n [18, 11, 2, 18, 17, -21, -18, 22, -2, -6, 9],\n [-20, -21, -16, 2, -14, -11, -23, -3, 10, -19, -25]]\nB =\n[[-18, 1, 23, -4, 5, 17, 13, -15, 17, -5],\n [-11, 2, 12, -3, 1, -7, 19, -10, -14, 25],\n [-3, 25, -19, 24, 20, 20, 4, -10, 24, 6],\n [15, -5, -22, -19, 1, 17, -20, -6, 18, 18],\n [-14, -12, 16, 8, 18, -9, 14, -6, -24, -5],\n [-14, -13, -25, -8, -12, 5, -2, -14, -1, 10],\n [-12, -8, -2, 0, 4, -22, 14, 3, -8, -22],\n [7, 12, 19, -24, 25, -14, -4, 0, -12, -17],\n [-16, -19, 15, 21, -6, -11, 17, 24, 8, 25],\n [-2, -24, -6, -13, -1, 10, -23, 21, -14, 7],\n [2, -15, -9, 14, -12, 5, -21, 21, -24, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-13, -6, -15, -12, 16, -22, 21, -23, -15, 24],\n [-1, -3, -9, 5, -12, 21, -8, -23, 19, 9],\n [13, -7, -3, 5, -2, 24, -9, 1, -17, 6],\n [-12, -4, 14, -12, 11, -12, 2, 18, 14, 7],\n [22, -4, 14, 11, 9, 19, 2, 11, -23, -4],\n [20, 12, 13, -3, -20, -12, -4, 10, -6, 25],\n [16, -3, -13, 18, 20, 19, 25, -17, 22, 15],\n [-20, 20, 2, -19, -7, 5, 9, 3, 21, 18],\n [7, 17, -4, -23, 23, -13, 14, -13, 14, 14],\n [-13, -14, -21, -13, -14, 25, -16, -11, -24, 12],\n [-10, 7, 8, -1, 21, 0, 22, 14, -12, 16]]\nB =\n[[-11, 9, 12, 5, 8, -17, -19, 25, 12, -25, -3],\n [-12, -1, -18, 14, -20, -11, 25, -6, -9, 6, -20],\n [13, 2, -16, -17, 11, 8, -13, -15, -15, 4, 2],\n [-3, -11, 20, -15, -13, 2, 24, -19, 5, 23, 17],\n [-4, 12, -12, -20, 20, 5, 25, -23, -9, -6, -19],\n [-9, 16, 24, 0, 24, 1, -13, 14, -21, -25, -9],\n [11, -10, -8, 2, -23, -8, 15, 4, 6, -12, -9],\n [-7, 21, -18, -22, -2, 3, 21, 23, -15, -14, -12],\n [-19, -23, 6, -15, -24, -9, 16, -3, 7, -4, 19],\n [-12, 23, 16, -6, 21, -9, 19, -18, -19, 23, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 23, -22, 4, -5, 17, 16, 1, -23, 5, -10],\n [-13, -19, -15, 25, 8, 16, -15, 6, 19, 7, 3],\n [24, 5, 1, 13, 13, -24, -18, 17, 23, 21, -14],\n [-6, 14, -21, 14, -13, 20, 20, -25, 7, -17, 13],\n [15, 8, -18, 7, 10, -14, 10, -7, 13, -5, 7],\n [17, -22, -22, 18, 23, -15, 0, -21, 4, -24, -2],\n [15, -10, -8, -14, 0, -14, 0, -22, 24, 1, -3],\n [-5, 22, 11, 8, 19, -15, -23, -20, -12, -20, -13],\n [3, 7, -9, -15, -24, 8, 5, -10, 18, 15, 11],\n [-4, 20, 9, -19, 24, -11, -22, -2, -13, 3, 24]]\nB =\n[[-10, -25, 8, 8, -10, 6, 14, 7, -11, -9, -9],\n [9, 3, -14, 11, -13, -5, 13, -25, 23, -13, 17],\n [23, -2, -2, -13, 10, -21, -12, -10, -20, -24, 19],\n [24, -22, -10, 10, 22, -5, -9, -23, -2, -20, -7],\n [8, -4, 20, -23, 13, -3, -15, 6, 21, 4, 24],\n [10, -23, 22, 14, 14, 10, -10, 6, 10, 12, -4],\n [12, 24, -14, 14, -12, -19, -24, 14, -15, 23, -16],\n [13, -20, -17, -7, -1, -21, -21, -23, -22, -14, 0],\n [-20, -16, 1, 14, -3, 23, 12, 4, 11, 16, -1],\n [18, -12, -23, -22, 10, -1, -18, -1, 10, 4, 25],\n [-11, 19, 11, 21, 24, -21, -8, 6, 16, 24, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17553", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[16, -22, 15, 19, 5, -10, 19, -23, 21, 23, -23],\n [-23, 3, -7, -22, 9, -10, 25, 0, 12, 23, -22],\n [23, 8, 25, -5, 15, -1, -23, 19, -8, -1, 6],\n [-6, -11, -24, 4, -14, 13, 17, 21, -19, -4, -18],\n [-3, -3, -14, -20, -12, 2, -21, -22, -1, 1, -22],\n [3, 15, 21, 24, 1, -19, 6, -6, 22, 17, 10],\n [4, 3, 2, 14, -23, 1, -5, 11, 9, -6, -17],\n [9, -16, 23, -5, 17, 15, 17, -2, 13, -25, 20],\n [17, 5, 20, -3, -8, 1, 15, 18, 20, -14, 9],\n [15, -10, -5, 1, 10, -13, 24, -18, -18, -10, -3]]\nB =\n[[19, 8, -2, -5, -13, 24, 25, -22, 3, -22],\n [-5, 8, -17, -1, 15, -5, -22, -10, -1, 14],\n [-19, 19, -21, 14, -5, 8, 22, -4, 1, 24],\n [-16, 15, -11, -23, 21, -13, 0, -25, 21, -17],\n [13, 0, -8, -18, -11, 20, -4, 12, 20, -22],\n [-5, -10, 20, -1, -3, -9, 6, 22, -24, -25],\n [21, -17, 19, 0, 23, 9, -20, 15, -17, -6],\n [23, 0, 15, 8, 21, -16, 16, 4, -22, 13],\n [8, -17, -21, 16, -17, -1, 14, -23, -1, 25],\n [-8, 20, -15, -3, 8, 8, 21, -2, 24, 22],\n [-24, -13, -6, -19, -17, 25, 8, -25, -18, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9101", "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, -25, -1, 23, 3, -9, -19, 9, -10, -5],\n [-24, 0, -21, -21, -17, 21, 22, -8, -7, -20],\n [1, 23, 5, -5, -12, -10, -24, -8, -8, 9],\n [-12, -8, -7, -1, 9, -19, -23, 12, -14, -10],\n [-6, -21, 5, -2, 17, 19, 18, -2, -10, 21],\n [13, 2, -21, -13, -11, 15, 23, -22, -12, 1],\n [-16, -3, 11, 2, 18, -13, 10, 6, 19, 11],\n [-25, -22, -25, -8, -13, -1, -5, -11, 15, 15],\n [-16, 9, -22, -21, 18, 12, 12, -2, -2, 14],\n [-7, -6, 2, 17, -15, -3, -11, -5, 10, -13],\n [6, -16, 20, 11, 6, 23, -6, 13, 21, 25]]\nB =\n[[-10, 13, -21, -9, 10, 22, 0, 25, -22, 12],\n [20, 0, -6, -13, 20, -19, -2, -23, -23, 24],\n [-10, 5, 7, -12, 24, 22, -1, 25, -24, 15],\n [-13, -8, -6, -24, -19, -13, -18, -23, -12, -3],\n [-18, 7, 1, -15, 7, -15, 12, 17, -8, 2],\n [15, 0, 4, 19, -16, 16, -23, 6, 10, -16],\n [-5, 25, 24, -19, -1, 8, -1, -17, -18, 9],\n [18, 2, -16, -12, 3, -25, -7, -12, -6, 12],\n [22, 10, 15, -18, 12, 16, -2, -19, 17, -21],\n [-12, -17, -6, 0, -1, -6, -20, -19, 10, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55052", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -6, 20, -8, -18, 1, -21, 5, 20, 15, -5],\n [-23, 0, -9, 4, -3, -1, 24, -22, 15, -15, 15],\n [12, -8, 7, 10, 12, -8, 23, -10, -4, -5, 24],\n [18, 5, 5, 1, 15, 24, 11, -23, 5, 8, 0],\n [-2, -16, 3, 12, -13, 11, 13, 25, -20, -12, 4],\n [13, 23, -22, 19, 2, 13, -16, 0, 8, 3, -18],\n [13, -8, -17, -4, -8, 11, 21, 7, 22, 19, 22],\n [-24, 0, -9, -22, -17, -16, 23, -21, 12, 23, 14],\n [23, -4, 15, -7, 11, 7, 23, 24, -20, -3, -12],\n [5, 7, -9, -25, -14, -23, 19, 10, -2, 15, 22],\n [-12, 11, 2, 1, -6, -11, 16, -1, 18, -20, 25]]\nB =\n[[20, -12, 13, 16, 4, 21, 21, 24, 2, 5],\n [-17, 22, -24, 21, 19, -25, -24, 22, 2, 10],\n [-3, -6, 7, 4, 12, -1, 22, -10, 12, 21],\n [13, -19, 18, 7, 8, -9, 23, 14, -22, -13],\n [0, -13, 6, 17, -14, -12, -5, 7, 15, -23],\n [-19, -11, -19, 17, 22, 0, 0, -14, 14, 19],\n [-24, 14, -11, 18, 5, 11, 8, -14, -20, 14],\n [6, 10, -16, -10, -1, 4, 14, 3, 22, -3],\n [13, 18, -19, 23, 21, -12, 11, -24, 11, -21],\n [12, 20, -4, -20, 19, -19, 24, 10, -21, 0],\n [2, 21, -3, -24, 14, 24, -5, -24, -24, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2751", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, 1, 20, -21, -17, -12, -22, -25, 14, -4, -11],\n [-1, 25, 6, 5, 16, -3, -9, 8, -21, 21, 16],\n [4, 24, 19, 4, -12, -1, -23, 12, -6, -3, -3],\n [-5, 18, -21, -17, 13, -4, -7, -21, -22, -5, -8],\n [-21, 13, -13, 0, -10, -15, -23, -22, 23, -17, 4],\n [25, 19, -14, 23, -13, -5, 17, 16, -5, 1, -21],\n [-9, -5, -25, -10, 14, -4, -3, -6, 23, -18, 20],\n [23, 15, 12, 4, -24, 6, -7, -13, 16, -2, -16],\n [21, -21, 1, -1, -19, 19, 1, -5, 17, 2, -5],\n [8, -5, 21, 1, -11, 25, -21, -9, -18, 22, 21],\n [-2, -8, 24, 21, 16, -21, -10, -5, -14, -9, 18]]\nB =\n[[7, -15, 14, 11, 14, -15, 2, 17, 4, 20],\n [-12, 25, 17, -5, 6, 1, 8, -18, 17, 7],\n [11, -5, 21, 25, 3, -10, -22, 18, -1, -21],\n [-7, 17, 13, -20, 4, 2, -13, 21, -23, 9],\n [-22, -16, 25, -20, -25, -25, -19, -10, -2, -22],\n [-10, -19, 24, -1, -11, -17, -15, -19, 13, -3],\n [-23, -19, -23, -14, -23, -19, -3, 12, -11, -3],\n [16, -21, 15, 23, 3, -7, -2, -3, 2, -9],\n [-17, -9, -25, 14, 25, -17, 14, -20, -11, 21],\n [-20, 21, -8, -2, 12, 24, 24, 4, -7, 2],\n [-3, -2, 1, -13, -15, -11, 4, -20, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25351", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 8) of the product of the following matrices:\nA =\n[[-15, -22, -11, 22, -2, -12, -2, -3, -21, 21, 0],\n [4, 16, 12, 22, 22, 25, -23, -8, -4, 25, 2],\n [4, -24, -17, -25, 10, -5, 2, 10, 6, -20, -3],\n [-20, -4, 5, -7, -18, -18, -6, -2, -13, 15, 25],\n [-19, -18, 1, 17, -23, -9, -21, 12, 21, -17, 25],\n [-20, -18, 18, 0, 22, -6, 0, -23, 22, -1, -11],\n [-15, 6, 6, -20, -24, -3, 3, -19, 4, -10, -25],\n [-13, 10, -25, -4, 11, 3, -10, 25, 18, -17, -1],\n [12, -4, 15, -24, -25, -16, 9, -2, 24, -2, 18],\n [21, 20, -16, 12, -6, -14, -3, -3, -17, -22, 3]]\nB =\n[[1, 3, -22, -24, -19, 17, 22, 16, 21, 8],\n [-14, 1, -4, -11, 17, -16, 9, 14, -6, 6],\n [-6, -21, 3, 1, 0, -15, 3, 18, -6, 17],\n [-20, -18, 19, 21, -24, 1, 12, -6, 4, 3],\n [-24, -11, 7, -15, 14, -2, 15, -11, -21, -17],\n [-22, 1, 16, -22, 11, 25, -13, -5, -15, -14],\n [-12, 19, 10, -13, -21, -5, -17, 7, 18, -9],\n [1, -25, 25, -21, -14, -1, -1, -14, -15, 4],\n [22, 1, -9, 4, -23, -15, 23, 7, 21, -17],\n [-8, -25, -20, 8, -21, -23, 0, 11, 14, -20],\n [-15, -15, 17, 14, 12, -10, -6, -6, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[14, 19, 16, -1, 4, 14, -1, -16, 19, 9],\n [1, -22, -10, 3, 9, -5, 15, 5, -7, 18],\n [12, 6, -22, -12, -25, 14, -7, 22, 6, -18],\n [-21, -18, 23, -20, 9, -15, -13, -1, 25, 3],\n [-6, 9, 0, 25, -6, 13, 17, 15, 21, 18],\n [18, -20, -9, 24, 1, 15, 17, -7, 16, 6],\n [17, -3, 12, 15, 5, -10, -23, -10, 24, 25],\n [-10, -22, -21, 2, -3, 16, -7, -1, -7, -23],\n [-18, 0, 5, -7, -9, -25, -13, 17, -14, 6],\n [-2, 8, -2, 16, -17, 22, -22, 22, -1, 10]]\nB =\n[[-2, -3, 13, -11, -1, 17, -16, -16, -20, -21],\n [3, -6, -25, -4, 21, -3, 0, -12, 10, -14],\n [-11, 23, -10, -11, -18, 18, 24, -12, -24, -14],\n [-2, -24, -8, -22, 2, -1, 15, 14, -19, 19],\n [-14, 18, 19, -7, -22, -24, -2, 19, -15, -2],\n [13, -17, -19, 3, 9, -2, -23, -25, 7, 20],\n [8, 17, -16, -11, -15, 14, 7, 6, 12, -6],\n [6, -18, 25, -9, 20, 10, -24, 22, 8, -15],\n [-12, -8, -16, -3, -2, 18, -15, 15, 2, 1],\n [22, -18, 11, 21, 21, 23, -24, 19, 17, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1779", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 8) of the product matrix AB given:\nA =\n[[15, -22, 22, 22, -23, 0, 24, -19, -4, -16, -16],\n [13, -25, 23, 11, -15, 8, -16, -12, 12, -24, 13],\n [-16, 6, 3, 24, -25, 18, -22, 7, 20, -2, 15],\n [-4, -16, 18, 0, -12, -14, -6, 8, 9, 19, -4],\n [12, -9, 2, -3, -10, -3, 11, 24, 10, -3, 5],\n [-11, -13, -12, -4, -17, -18, -12, -19, -23, 10, -3],\n [-9, 15, -1, -3, -15, 6, -25, 1, 18, 2, 13],\n [0, -17, 4, -23, 17, 5, -16, 25, 6, -25, 20],\n [-18, 13, -16, -2, 18, -7, -19, -17, 6, -7, 13],\n [3, -10, 13, 18, -23, -21, -20, -9, -9, 10, 16]]\nB =\n[[6, 14, -12, 6, 17, 12, -13, 21, -3, -14],\n [-4, 4, -4, -16, -14, 10, 2, -3, -2, 2],\n [-18, -6, -23, -19, -3, 9, 7, 25, 20, 9],\n [-4, 8, 10, 11, 12, 0, 15, -16, 11, 24],\n [-19, 16, -15, -9, -18, -19, 20, 17, -18, 7],\n [-20, 20, -21, -10, 19, 22, -12, 8, 24, 8],\n [-1, -4, -23, 15, -8, -6, -13, 16, 8, -5],\n [3, 25, -17, 14, -4, 5, 19, 5, -20, 15],\n [20, -24, -19, -14, 17, 25, -7, 21, -6, -13],\n [21, -5, 11, 0, 7, 22, -4, -15, -11, 19],\n [21, -8, 5, 21, 8, 3, 15, -9, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-582", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-16, -17, 1, 0, -5, 3, -6, -17, -22, -11],\n [-3, 16, 16, -10, -25, -7, 0, -22, 2, 14],\n [23, 9, 9, 18, 14, -5, 11, 1, 21, 14],\n [-13, -20, 5, -3, 16, 7, -17, -21, 18, 19],\n [12, 22, 18, -22, 6, -23, 8, 16, -14, 10],\n [21, 20, 6, 5, -13, 23, -4, 1, -21, 16],\n [16, 0, 23, -7, -3, 18, 2, -24, -23, 21],\n [-13, 10, -5, 20, 19, 13, -12, 12, 2, -21],\n [19, 12, -9, 14, 13, 20, 9, -8, -5, -1],\n [5, -11, 21, -7, 25, -13, 6, 5, -12, -1],\n [-7, -3, -7, -9, 18, -10, 6, 5, 25, 19]]\nB =\n[[-16, -18, 23, 19, -24, -1, 1, 18, -2, 24, 25],\n [-2, 22, -6, 6, 8, 3, 12, -12, -2, 9, -7],\n [-18, -18, -20, 16, -15, 23, 17, 25, -13, 1, -2],\n [2, -23, -20, -24, 7, -10, 1, 15, -5, -25, -8],\n [23, -10, 12, -8, -12, 23, 0, -20, -15, -24, -1],\n [-23, 14, 4, -17, 4, 16, -5, -4, 19, -14, 16],\n [4, 20, -20, 1, 8, -11, 4, -11, 10, 17, 3],\n [-19, -11, 25, 3, -12, -16, -2, 12, -24, -19, 9],\n [2, 14, 24, 0, 6, -11, 17, -4, -3, -16, -1],\n [1, 23, 0, -8, -25, -24, 6, 11, 5, 16, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-472", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-13, 22, 3, -23, -22, -10, -16, -12, 25, 11, -7],\n [17, 23, 4, 13, -22, 21, 10, 22, 6, 1, -3],\n [-7, 8, -15, -7, -3, 20, 18, 25, 16, 14, 23],\n [-18, -17, -12, 21, 22, 14, 9, 8, -25, 6, -18],\n [-3, 6, 12, 17, 9, 20, -4, 11, 1, -5, 3],\n [-13, 11, 11, 16, 19, 16, 14, 8, 8, 25, -16],\n [-11, 1, -10, 16, 16, 0, 1, 25, -22, 8, 15],\n [-15, -23, 13, -1, -1, 12, -25, -14, -8, 15, 11],\n [-13, -8, -11, 21, -20, 13, -13, -14, -16, 0, 1],\n [-4, 7, 17, -10, -25, 24, 17, 15, 20, 17, -25],\n [-15, 15, -4, 3, 8, 16, -23, 5, -13, -15, 24]]\nB =\n[[20, 11, -18, -16, 12, -11, -18, 4, 10, 4],\n [5, 15, -21, -7, 23, 8, -13, 23, -1, -12],\n [-15, 4, -19, -24, 9, 17, -23, 7, 25, 20],\n [6, -9, 25, 25, 2, -5, 25, -7, 7, -15],\n [7, -3, -19, -18, 4, -19, 21, 22, -4, 1],\n [14, 16, 10, 19, 10, -7, 1, -20, -10, -2],\n [-2, 4, 13, 19, 9, 24, 23, 9, -6, 10],\n [-15, 24, -7, 14, 19, -1, 24, -4, -25, -6],\n [23, 9, -3, -2, 13, -3, 12, 21, -19, 13],\n [18, -17, 3, 15, 17, 16, -16, -11, 22, -18],\n [19, 15, 20, -4, -6, -8, 8, -3, 2, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[-16, 17, -3, -16, 25, -25, 3, 20, 15, -21, 18],\n [3, 24, 23, -6, -18, -1, -25, 10, 18, -10, -21],\n [24, 24, 25, -13, -25, -18, -25, -6, 13, 25, -1],\n [3, -23, 3, -8, -8, -2, -20, 2, -12, 0, -19],\n [-15, -5, -21, 5, 19, 19, 1, 7, 8, 24, 10],\n [20, -21, 0, 22, 9, -6, -12, -21, -14, -13, 22],\n [1, 1, -10, 25, -22, -13, -8, 19, -14, -7, -9],\n [16, -19, -5, 20, 13, -25, -12, -23, 6, -17, -15],\n [-3, 4, 21, -21, 4, 25, 0, -22, 1, 3, 19],\n [12, -19, -10, -18, -1, -2, 15, 15, 25, 25, -5],\n [17, -10, 15, 21, -15, -18, 9, 20, -20, 11, -15]]\nB =\n[[2, 16, -15, -20, 14, 4, -12, -13, 9, -20, 23],\n [7, -15, -25, 1, 4, 20, 0, 2, 15, 6, -16],\n [-14, 10, 24, 17, -4, -10, -8, -19, 10, -24, -17],\n [18, 4, 2, 3, -7, 2, 15, -1, 3, -3, -16],\n [15, -21, 7, 22, 15, -21, -22, 11, -22, -1, 6],\n [-12, 1, 0, -18, 4, -13, 6, 17, 3, -3, 2],\n [-12, -16, -19, 25, 23, 0, 10, 1, 2, 20, 4],\n [18, 17, -2, -25, 15, 1, -25, -16, 17, -21, -17],\n [-23, 3, -24, -8, -12, 3, -21, 20, -21, -24, 13],\n [-3, 5, 24, -10, -4, 1, 3, -21, -14, -13, -18],\n [20, -2, 2, 11, 1, 10, -17, -11, 20, -21, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-439", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 7) of the product of the following matrices:\nA =\n[[-11, 10, -8, -4, -21, -4, -9, -4, -5, 20],\n [-3, 2, 2, -9, -7, -13, 19, 19, 8, 21],\n [7, 21, -10, 17, 4, -23, 1, -6, 6, -5],\n [20, -21, 23, -24, -4, -19, 16, -16, 14, -25],\n [-10, 15, 2, 22, -6, 0, -11, 15, 4, -14],\n [-24, -16, 1, -5, -10, 11, 19, -4, 13, 15],\n [-4, 23, -9, -9, 0, 11, 12, 12, 15, 16],\n [23, -23, -17, -25, -7, -12, 14, 24, 12, -24],\n [-19, 12, 17, 2, -16, -1, -4, -15, 14, 19],\n [12, -16, -8, 21, -21, -15, 1, 1, 10, -13]]\nB =\n[[21, 2, -24, -19, 6, -20, -7, -11, -3, -2],\n [20, 22, 2, -2, -4, 16, -20, 21, -22, 8],\n [25, 13, 1, 17, -4, 21, -10, 6, -21, 15],\n [7, 19, 9, -21, -3, 20, 11, 6, -12, 7],\n [17, -21, 9, 16, 15, 21, 12, -4, -20, 14],\n [8, -22, -24, -17, 4, 11, -7, 25, -17, -21],\n [-10, 0, -19, -24, -12, 5, -4, 7, 14, 23],\n [5, -7, -20, 20, 14, 17, 20, -16, 23, -14],\n [0, -22, 25, 23, -21, 4, -2, 20, 13, 9],\n [-21, -21, -18, 9, -25, -24, -19, -11, -12, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[18, 3, 24, -24, -19, -16, -6, -1, 0, 16, -20],\n [-22, -18, -13, 11, -18, 14, 3, 1, -17, -12, -15],\n [-1, -3, -16, -19, -13, -4, 15, 14, 23, 20, -8],\n [-17, -4, 21, 22, -17, 16, -12, -14, 14, -9, -9],\n [25, -2, 24, -13, 23, 10, -8, 4, 16, 16, 11],\n [-25, -12, -16, -21, -4, 15, 3, 23, 25, 6, 5],\n [11, 7, 4, 13, 7, -16, 9, 23, 2, 16, -17],\n [15, -15, 19, 1, 6, 15, -5, -14, -19, -4, 6],\n [-23, -14, -13, -4, 16, 12, 2, -21, 4, 6, 19],\n [-6, -6, 15, -17, -19, -19, 0, 7, 24, 5, 18]]\nB =\n[[-12, 21, 9, 4, 9, -7, -17, -8, -25, -9, -4],\n [-14, -8, -24, -2, 13, -22, -3, -22, -5, 1, -15],\n [-2, 1, 10, 1, 2, 21, 8, -24, 15, 0, 19],\n [-11, -2, -7, -19, -9, 22, -22, 10, 14, 4, 17],\n [15, -12, 16, 22, 20, -6, 3, 16, 0, -7, -18],\n [12, -6, -25, -10, -25, 9, -18, -18, -24, 2, 5],\n [18, -10, -15, 23, -12, 11, 7, -18, 15, 8, -13],\n [17, -10, 10, 13, -5, -9, 13, 8, -8, 15, 15],\n [17, 10, 10, -21, 2, 23, -21, -22, -23, 7, -23],\n [-18, -3, -20, 1, -4, 8, -25, 10, 1, -17, 18],\n [25, -1, -12, -8, 23, -8, 23, 1, -17, -14, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51319", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[21, -8, 23, -12, -16, -6, -4, 8, 22, 12, -21],\n [4, -25, 0, -19, -19, 19, -21, -6, 24, 2, -3],\n [-18, 21, -10, 15, 22, -20, -15, -13, -24, 23, -24],\n [-13, -7, 7, 11, -1, 22, 12, 20, 14, -8, 3],\n [11, -15, 19, 15, 21, 19, -3, -3, 9, -23, 21],\n [-8, -17, 22, -6, -2, -9, 19, -14, 7, -20, 4],\n [-20, 22, -3, 20, -19, 0, -23, -1, -23, -11, 13],\n [-22, 12, 19, -5, 4, -19, -13, 24, 17, -19, -3],\n [18, -19, -16, -12, -21, -7, 11, 7, -12, -23, -19],\n [4, 1, 10, 12, -15, 17, 10, -10, -9, -7, 9],\n [12, 22, 19, -24, 13, 1, 25, -25, -24, 23, -11]]\nB =\n[[-25, -20, 4, 18, 1, -9, 14, -2, 24, 25],\n [-4, -11, 19, -5, 1, -10, 21, -12, -22, -2],\n [-13, -21, 14, 7, 19, 11, -18, 13, -7, -16],\n [16, 13, -7, 5, -12, -1, -18, -22, 21, -21],\n [10, 18, -20, 4, 14, 12, 11, 15, -7, 16],\n [17, -8, -5, 11, 17, -9, 5, -5, -15, -10],\n [-17, 25, -3, 13, -3, -23, 23, -20, -6, -11],\n [20, 4, 6, -20, 5, -10, 3, -4, 14, 2],\n [-11, -5, -18, -25, 4, -24, -2, 23, -21, -14],\n [-21, 8, -12, -14, 1, -24, 23, 10, 19, 12],\n [-23, 10, -18, -24, 15, 16, 3, 19, -1, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65601", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-22, -16, 18, -9, -25, -23, 12, 4, -21, 18],\n [-15, -17, 21, -12, -7, -13, -5, 13, 17, -24],\n [4, -3, 1, -25, -19, -24, -3, 5, 25, 3],\n [-12, 17, -21, -15, 20, 15, 7, 3, -20, -19],\n [19, -16, -6, -17, -9, 10, 20, -20, -25, -15],\n [17, -9, 13, -17, -10, 1, 15, -21, 12, -18],\n [-17, -13, -23, 1, 24, 11, -6, 7, -13, -2],\n [24, 16, -2, -6, 1, -8, 2, 10, 7, 6],\n [-19, -11, -12, 9, 25, 14, 5, 25, 24, 5],\n [0, -1, 20, -20, 25, 1, 6, -14, 21, 4]]\nB =\n[[-2, -2, -4, -22, -7, -1, -21, -22, 3, -17, 25],\n [12, 14, 8, -18, -15, 8, 20, 6, 6, 23, -21],\n [6, -21, 6, -25, -20, 13, -1, 1, 20, -12, 22],\n [-17, 2, 24, -2, -17, 10, 13, 11, 23, 16, 8],\n [-23, -5, 13, 11, 16, 10, -24, -9, 25, 15, 3],\n [-1, -5, -7, 3, -23, 13, -14, 18, 25, 0, 13],\n [5, -18, 9, -21, 1, 0, 1, -13, -3, -25, 24],\n [2, -11, -13, 14, -21, 13, 0, 21, -19, 9, 23],\n [-4, -17, -25, -11, 4, -23, -20, 5, -21, -22, -1],\n [-15, 17, -12, -1, 23, 1, 3, 15, -25, 20, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14100", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 14, 11, 8, -24, 19, 25, -8, -11, 20],\n [7, -15, 25, 3, 3, -18, -25, 4, 17, -16],\n [-20, 19, -25, -17, 24, 17, -10, -23, 16, -24],\n [-18, 4, -8, -23, -20, 19, 25, 20, -13, -11],\n [-4, -7, 24, 18, -18, -12, -3, -1, 7, -25],\n [-25, -9, -8, -1, -11, 25, 1, 4, -17, -1],\n [8, 14, 14, 21, -15, -11, 25, 3, 4, -15],\n [-25, -9, -15, 3, 20, -14, 4, 18, 1, 10],\n [-11, -17, 5, -1, -11, 8, -10, -3, 7, 3],\n [6, 6, -10, -11, -5, 2, -12, -5, -2, 9]]\nB =\n[[12, 17, -19, 5, -4, -1, 20, 16, -22, 7],\n [10, 0, 3, 21, -20, -7, 24, -1, -16, 10],\n [22, 25, 17, -16, -10, -11, 23, 8, 20, 14],\n [-11, -25, -20, -7, 17, -20, 25, -22, -16, 17],\n [14, -17, -25, 25, -9, 15, 2, 23, -14, 20],\n [15, 13, -10, -12, -20, 21, 4, 19, 0, -6],\n [-21, -11, 5, -8, -13, 17, -15, 18, 25, -14],\n [-7, -7, -25, -12, -9, -24, 13, 12, -5, -6],\n [-3, 4, -25, -20, -11, -9, 10, 0, -24, 22],\n [19, -15, 17, 22, -16, -22, -7, 0, 13, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4223", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[18, -4, 16, 3, -11, 18, 7, 16, -15, -6, 1],\n [25, -11, -23, -10, 2, 22, 16, -11, 14, 0, 8],\n [10, 1, -12, 24, -23, -23, -3, -21, -24, 12, 10],\n [-24, 25, -11, -24, 10, 2, -12, -14, 4, 9, -18],\n [6, -6, 16, 25, -11, -12, 0, -1, -7, -6, 25],\n [0, 6, -3, -12, -4, 4, 2, 12, 14, 4, 25],\n [-23, 9, -22, 13, 8, 19, -15, -13, -24, 10, 4],\n [-10, 6, -11, -3, 21, 9, 19, -9, -8, 6, -10],\n [-25, -12, -24, -20, 0, 18, -18, -2, 13, 24, 17],\n [5, -5, -6, -24, 17, 14, -6, 23, -4, -13, -6]]\nB =\n[[18, 5, -3, 0, 17, 4, 19, -17, 13, 16],\n [6, 18, 14, -14, -14, 1, 20, 0, 17, -12],\n [-12, -15, 8, -18, 13, -11, -22, -25, 9, -20],\n [25, -24, 21, -7, 5, -7, -3, -17, -7, -13],\n [-18, 2, 1, 12, 16, -17, -11, 20, 8, -1],\n [-25, -15, -11, 0, 21, 12, 7, 23, 9, 20],\n [1, -14, -6, -14, 11, -20, -6, -3, -11, 2],\n [8, -18, -6, -20, 0, 23, -8, -12, -6, 16],\n [19, 23, -25, -3, 14, -10, 19, 13, -7, -18],\n [-2, 18, -10, -13, 24, 4, -13, -5, -7, 1],\n [12, 18, 12, 25, -3, -10, 20, -2, 18, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3578", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 23, -10, -15, 0, -10, 15, -11, -8, 14],\n [-8, 9, -21, -24, 4, 5, -1, 17, 5, -7],\n [8, -8, 13, 22, 7, 19, -23, -8, 10, 0],\n [2, 6, 23, 11, -19, 2, 6, 15, 10, -4],\n [-17, -9, -16, 1, -9, 6, 18, 16, -15, 19],\n [-1, -9, 1, -11, -21, 17, -13, -20, 16, -6],\n [-23, 2, -23, 7, -24, 11, 3, -12, -19, 18],\n [-22, 24, -5, -1, -17, -14, -14, -21, 3, 1],\n [13, 23, -6, 3, -7, 10, 7, -18, 4, 8],\n [5, -25, 9, -7, 20, -8, 20, -9, 16, 5],\n [-6, 3, 13, 17, -5, -17, 4, 7, -8, 23]]\nB =\n[[25, -16, -25, 2, 7, 13, -8, 17, 19, -17],\n [2, -3, 0, 23, 17, 7, -6, -10, -7, 6],\n [-15, 20, 18, 14, 21, 0, -25, 12, -14, -17],\n [24, -18, 5, -6, -7, 6, -21, 5, -4, -6],\n [-14, -7, 11, -24, -22, 4, -3, -5, -21, -19],\n [-14, 15, -15, 20, -12, 13, -23, -3, -23, 10],\n [13, -2, 15, 7, 6, 4, 10, -23, -20, 6],\n [-20, 17, -22, -22, -13, 23, 17, -23, 9, 18],\n [21, -10, -2, 14, -2, 20, -2, 12, -21, -7],\n [-19, 4, -1, -25, -24, -18, -22, 21, 6, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54604", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, 23, -20, 18, 23, 14, 7, 11, -16, -2, 10],\n [-23, 21, 11, 1, -2, -10, 21, 6, -10, -17, -10],\n [24, -10, -22, 23, -15, -2, 21, 5, 24, -2, -2],\n [-2, 10, 6, -11, -4, 8, 13, -14, -9, 15, 16],\n [-24, 13, 24, -20, 25, 5, 23, -1, 2, 19, 0],\n [-22, 3, -11, 8, 7, -10, 14, 13, -21, 8, -4],\n [11, -16, 5, -12, 8, -7, 11, -5, 11, -2, 6],\n [4, 11, 12, -9, 20, 10, 5, 24, 24, 17, -9],\n [-12, -20, 4, -7, 24, 1, 14, 11, 5, -10, -13],\n [-11, 0, 3, -25, 7, 8, 25, 8, 22, 8, -5],\n [-19, -25, -25, -8, 6, 5, -8, -10, -25, 18, -15]]\nB =\n[[4, 15, 2, 0, -3, -16, -15, 19, 18, -20, 3],\n [-4, -12, -20, 18, 24, -6, -15, -24, 18, -1, -11],\n [12, -21, -11, 0, -15, 21, 25, 7, 11, 10, 15],\n [12, -15, 9, -17, -15, 15, 7, 19, 7, 1, -8],\n [-15, 21, 4, -10, -2, -25, -15, -20, -14, 0, -7],\n [-25, 8, -6, -14, -2, 6, 7, 13, -16, -4, 22],\n [21, 15, -12, -22, 3, -20, 21, 14, 16, 13, 23],\n [-1, 19, -18, -15, -25, -20, 12, 2, 6, -17, 8],\n [23, -24, -4, 13, -3, 25, -23, 17, 19, -10, 15],\n [4, -7, 18, 0, -10, -4, -20, 11, -21, 17, -12],\n [-2, -12, -17, 14, -15, -16, 5, 25, -1, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2787", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 11, -20, 17, -15, 22, 14, -7, -25, 1, -5],\n [15, -12, -6, 9, 11, 5, -24, -8, -5, -1, -13],\n [10, -9, 20, -14, 16, -4, -2, -11, -19, -23, -6],\n [17, 0, 19, 2, 9, 19, 14, -17, -19, 14, -12],\n [-8, -16, 9, 22, -11, 19, -22, 22, 24, -7, 22],\n [2, 18, -3, -4, -4, 8, 14, -15, 18, 12, 22],\n [5, 1, -21, 16, 3, -21, -8, 3, -24, -12, -3],\n [3, 13, -18, -22, 11, 6, 23, 12, 3, 3, -25],\n [-23, 16, 19, -7, -12, 6, -3, 17, 0, -8, 17],\n [-11, -1, 10, 17, 12, -4, -8, -14, 1, 22, -6]]\nB =\n[[-10, 24, 20, 23, -11, -16, 13, -21, 17, 9],\n [-9, 25, 15, 4, -22, 21, -4, 5, 3, 15],\n [-10, -1, -9, -8, 11, 11, 3, 15, 1, 5],\n [-3, 16, -1, -4, -13, -9, 19, 13, -23, -25],\n [16, 21, 19, -9, 3, -8, 16, -17, 0, -2],\n [7, -14, 17, 17, -11, -12, -17, 5, 8, -24],\n [22, 12, 19, 12, -25, 19, 8, -3, -25, 7],\n [-15, 22, -17, -19, 20, 11, 25, -2, 23, -18],\n [10, -24, 19, -20, 24, 11, -14, -7, 3, -7],\n [5, 21, 13, 3, 25, -5, 9, 7, -5, -16],\n [-22, 22, -14, -16, -23, -18, -21, 22, 10, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1876", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 5) of the product matrix AB given:\nA =\n[[-4, 9, -3, -22, -10, 11, -4, -5, 24, 1],\n [14, -18, -19, 16, 8, 4, -1, 12, -11, 20],\n [2, 14, -17, -21, 11, 15, -4, 13, 14, -11],\n [9, 1, -9, -7, -8, -16, -24, -24, 23, 21],\n [1, -10, 6, 12, 0, 6, 8, 21, 24, -18],\n [10, 4, -21, 6, -18, -4, 23, 12, 21, -25],\n [-15, 12, -20, -6, -6, -8, -8, -19, 6, 0],\n [-2, 22, 25, -14, 0, 4, -8, -22, 8, -3],\n [3, -17, 13, -14, 11, -14, -10, -7, -14, -25],\n [-25, -7, 18, 11, 15, 18, -24, -13, -22, -7]]\nB =\n[[14, 19, 7, -9, -9, -22, -18, 4, 11, 22, 6],\n [-24, -1, 0, 15, -13, -7, -2, -17, 9, 6, -25],\n [5, -8, -11, -2, -25, -11, -3, 24, 25, -6, 4],\n [25, -13, -21, 11, -15, 16, -20, 12, -1, 19, 12],\n [13, 14, 16, 17, 3, 11, 14, 7, -19, -8, 18],\n [25, 14, 9, -16, -3, -12, -7, 25, 4, -17, -21],\n [13, 19, 24, 19, 6, 13, 14, 2, 10, 23, -16],\n [-22, 11, 2, 11, 24, -2, 8, 17, 1, -25, -5],\n [-19, 18, 14, 18, -11, -12, 4, -25, -23, 7, -15],\n [-3, 15, -1, -22, 14, 23, 6, 20, -6, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -2, -18, 21, -22, 4, 21, -25, 1, 5, -13],\n [-4, -19, -10, 1, 10, -23, 18, -8, -12, -25, 13],\n [-7, -23, -4, 21, 25, 15, 24, -25, -19, 3, 21],\n [-19, -17, 22, 25, 6, 18, 24, 6, -10, -21, 8],\n [22, 6, 12, 14, -7, 7, 3, -5, 11, 25, -19],\n [16, -10, -13, 13, 11, -8, -16, -3, -3, 14, 10],\n [7, 19, 16, -14, -6, 8, -20, -16, -16, -23, 12],\n [2, -11, 18, -17, -22, 12, 24, 4, 12, 7, -14],\n [9, -14, 9, 16, 12, -9, 7, 8, -7, -6, 0],\n [12, 16, 5, -16, 24, -18, -19, 16, 7, 21, 16],\n [-4, 9, -17, 19, 12, -7, 6, 8, 18, 17, -13]]\nB =\n[[-4, 9, 23, 15, -11, -11, 10, 6, -12, 4],\n [20, -12, 2, 24, 9, 12, 14, 25, 8, -21],\n [-2, -17, -15, 22, -6, 8, 13, -21, 7, 2],\n [10, 15, 4, 21, 1, 24, 16, -15, -9, 24],\n [18, 6, -3, 19, -8, -4, 2, 23, 16, -11],\n [-6, 6, -3, -18, 17, -8, 10, 25, -3, -4],\n [8, -6, 9, -10, -25, 23, 18, 25, 16, -13],\n [5, 20, 22, 0, -2, 2, 7, -2, 24, -23],\n [20, 23, -2, 20, -18, 18, -12, -24, -20, -14],\n [10, 0, 3, -22, 4, 22, -10, -18, 6, 9],\n [14, -2, 5, 19, 13, 8, -21, -12, 11, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9638", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -6, -25, -10, 17, -3, -15, 23, -22, 22],\n [18, -3, 5, 5, -21, 1, 3, -13, 19, 9],\n [-17, 24, -8, -11, -2, 5, 21, -19, -17, -10],\n [8, 6, -3, -6, 19, 10, 20, -17, -12, 17],\n [-6, -13, -9, -4, -21, 10, 6, 3, 19, -14],\n [9, -22, -9, -5, -8, 21, 13, -17, -12, 16],\n [16, 25, -2, -13, 9, -10, 17, -22, -23, 8],\n [-11, 5, -25, -25, 7, 0, 16, -25, -10, 11],\n [24, 9, -18, 21, 9, 25, -24, 18, -8, -16],\n [-16, 19, -14, 13, -2, 22, -4, 15, -21, -4],\n [-22, 15, -8, 4, 20, 7, -4, -20, 12, 20]]\nB =\n[[22, 12, -15, 20, 15, -19, -2, -18, -14, -16, -15],\n [-6, 12, 18, -3, -4, 19, -4, 13, 15, -23, 9],\n [-10, -8, -13, -4, -17, -20, 21, -17, -8, 19, 7],\n [12, 25, -4, 7, 18, 3, -10, -22, 10, -16, 6],\n [6, -12, -6, -8, -23, -20, -8, 6, -17, 0, 19],\n [25, 16, 22, -7, -20, -24, 2, 22, -6, -12, 7],\n [-22, 2, 11, 16, 4, -8, -17, -19, 10, -11, 1],\n [23, -21, 17, 12, -21, -4, -3, -13, -20, 21, 19],\n [19, 16, 8, -24, -17, -4, 0, -6, -16, -5, -15],\n [14, -5, -8, -24, 10, 3, 24, -4, -10, -2, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7703", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 0, -19, 10, 11, -8, 1, 4, -16, 15],\n [5, -10, -7, 23, 10, 7, -20, -10, 19, -22],\n [-17, -1, -3, -22, -21, 0, 1, -22, -5, -1],\n [-15, 5, -9, -19, 15, 1, 23, 25, -13, 5],\n [-22, -17, 17, 19, 4, -2, 22, 16, -22, -23],\n [13, 3, -5, -14, -8, -21, -3, -9, 11, 5],\n [-14, 22, 22, -4, 13, 19, -21, 25, -6, -10],\n [-16, -14, -20, -3, -1, -5, -7, 8, 14, -6],\n [15, -23, -19, -23, 17, 18, 19, -22, 8, -20],\n [-5, 18, 16, -22, 23, -14, 25, -5, 21, 8],\n [-19, 25, 14, 24, 20, 14, -5, -1, -20, 1]]\nB =\n[[9, 18, -25, -9, -21, 18, 6, -8, 19, 15],\n [9, 10, 16, -16, -24, -8, 9, 17, -4, -21],\n [21, -2, 6, 23, 8, 11, 23, -15, -16, -3],\n [25, 12, -16, 17, -19, 22, -13, -3, -15, 9],\n [-18, -3, 10, -19, -16, -14, 5, -15, 11, 0],\n [-21, 25, 21, -19, 10, -19, 13, 16, 10, 24],\n [-20, -5, -25, -24, -23, 13, 8, -12, -1, 11],\n [11, -10, -11, 22, -2, 15, -18, -24, 16, 0],\n [-8, -8, -7, 11, 7, 6, -1, 1, -5, -3],\n [-15, -5, 17, 5, 9, 9, -10, 21, 5, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58206", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[16, -7, -16, 22, 12, -21, 21, 23, -22, 14],\n [-14, 19, 15, 0, 21, 17, -11, 6, 3, 4],\n [3, 1, -11, 10, 2, -10, -16, 8, -14, -1],\n [-18, 23, 6, -2, -21, -7, -15, -9, 2, -2],\n [12, -14, 5, -19, 22, -23, -14, 0, 14, -23],\n [21, 12, 3, 14, 18, 19, -5, 23, 23, 3],\n [3, 20, 0, -10, -15, 12, 0, 4, 16, 13],\n [-3, -17, 2, -4, 16, 2, -14, -7, 18, -7],\n [21, -6, 12, 21, -6, 22, -24, -3, -8, -5],\n [5, -21, -18, 17, -11, 11, -12, 2, -16, -20],\n [20, -6, -22, 20, -23, 5, 24, -6, 17, -1]]\nB =\n[[-1, -14, 22, -6, 15, 17, 2, 5, -17, -17, 13],\n [-17, 7, 10, 12, -4, 17, 23, -25, -12, -9, -2],\n [23, -17, -16, -8, -17, -13, 17, 8, -22, 17, 5],\n [5, 1, 15, -1, -2, -14, -5, -9, -24, 2, -12],\n [-17, -22, -21, 23, -13, -5, -12, -8, -17, 0, 16],\n [18, 1, 15, -5, 4, 18, -16, 6, -20, 0, -2],\n [15, 20, -12, 19, 0, 10, -19, 11, 10, 24, -24],\n [3, -6, 16, 14, -17, 5, -5, 9, 3, -8, 4],\n [-13, -15, -1, 0, -6, -1, -16, -13, 6, 9, -1],\n [-2, 3, 9, 23, -5, -14, 19, 22, 25, -19, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 6) when matrix A is multiplied by matrix B?\nA =\n[[-5, -9, 21, -22, 19, 23, 7, -18, -8, -10],\n [5, 22, 15, -9, 3, 15, -9, 0, -16, -11],\n [5, 14, 23, -18, 23, 19, 14, -24, -11, -2],\n [2, -20, 14, -23, -10, -24, -16, -23, -15, 21],\n [-1, -24, -17, -7, 23, 4, -25, -3, 14, -25],\n [-15, -10, 3, 13, 21, -19, 12, -22, 10, -16],\n [-2, 4, 25, -16, 18, 15, -19, 7, -6, -20],\n [-4, -10, -10, 8, -3, -23, -4, 2, -7, 12],\n [16, 14, -5, 7, -23, 7, -18, 13, -15, 16],\n [2, 2, 3, -6, 17, 5, -9, -12, 10, 7]]\nB =\n[[-5, 11, 8, 16, -8, -17, -8, -21, -14, 22],\n [-24, -24, -5, -10, 10, 9, -6, 8, 8, -6],\n [-14, 19, 25, -3, 7, -19, 25, 19, -22, 22],\n [24, -11, -15, -21, -12, 17, 24, 14, -17, 18],\n [6, -5, -1, -8, -15, 11, 5, 5, 15, 14],\n [-8, -4, -9, 19, -3, 12, 2, -19, 8, -24],\n [18, -24, -4, -25, 8, 11, -15, 1, -12, -18],\n [-9, -13, 14, 21, -19, -11, 15, 20, -11, 17],\n [10, -12, 4, 21, 10, -12, -22, -17, 7, -18],\n [-11, 12, 3, -25, 12, 1, -12, -18, -19, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -25, 16, -14, 15, -16, 16, 9, 8, -17],\n [23, -4, 11, -14, 10, 16, 6, -9, -24, 5],\n [-6, 12, -21, -18, -10, 6, -23, -17, 10, 7],\n [-20, 6, -8, -22, 18, 20, 2, 9, 25, 8],\n [8, 23, 11, 7, -10, 12, 11, 18, -9, -3],\n [-15, 25, 8, -1, 22, -7, -18, -22, -20, -2],\n [-6, -23, 15, -3, -7, -25, -23, -3, -25, 21],\n [-21, 2, 22, -21, -7, 18, -13, 4, -18, -9],\n [-1, -14, 20, 3, 17, -25, -24, 22, 8, 7],\n [-25, -16, -8, -4, 5, -24, -3, -23, 20, 18],\n [-2, -1, 15, -13, -16, -20, -21, 24, 13, -10]]\nB =\n[[17, -5, 16, 14, -21, 7, -23, -11, -16, -25],\n [-16, -10, 5, 18, 2, 11, 1, -15, -5, 11],\n [12, 8, -4, -16, -22, 18, -21, -3, -10, -7],\n [-11, 25, -1, -14, 7, 16, -18, -23, 18, 13],\n [12, -21, 20, 13, 21, 22, 6, -3, -7, 1],\n [-5, 8, -24, -17, 5, 6, -16, 10, -1, -25],\n [-4, -21, 25, 7, -9, -4, -7, 9, 9, 18],\n [-7, 1, -15, 16, 2, -16, 9, -8, -21, -20],\n [-4, 4, -8, 19, -25, -22, 16, 22, 22, -2],\n [-9, 17, -5, -18, 20, -8, 7, 4, -17, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-22, -24, 1, -8, 11, 8, -15, -24, 5, 18, -1],\n [16, -7, 6, 10, -19, -12, 19, -25, 7, 8, -10],\n [5, -24, -14, -7, -11, -10, -10, 2, -15, -20, 1],\n [-9, 13, -15, -13, 22, -13, -18, -1, 15, 11, -12],\n [-5, 17, 18, -6, -6, 16, 1, 7, 5, -10, -19],\n [-10, 20, -22, -23, 4, -7, 1, 3, 23, 18, -9],\n [-25, -5, 7, -1, -15, 9, 10, 13, 24, 2, -6],\n [13, 17, -1, 20, -18, 6, -6, 22, 24, 18, 15],\n [-6, -17, -13, 12, -4, 4, 11, 16, -3, -15, -12],\n [-10, 13, 2, 24, 14, 1, 20, -16, 20, -6, 1],\n [-4, 19, 6, 6, 23, 12, 21, 14, -21, 14, -17]]\nB =\n[[-19, -8, 20, 14, -25, 23, -20, -12, -2, -9, -9],\n [18, -5, 22, 9, 23, 8, -13, -12, -22, -2, -20],\n [-6, 6, -3, 15, -12, -4, -9, 14, 25, -24, 23],\n [-19, 9, 10, 24, -12, -6, 2, -13, 23, 18, -19],\n [-23, -21, 7, 20, -17, 1, -11, 8, -8, -22, 8],\n [19, -5, -8, 10, 9, -19, 8, 20, 11, -24, 15],\n [-10, 2, 4, 5, -18, 12, 9, -19, -8, 22, 10],\n [-5, -22, 6, -10, -8, 8, -4, 1, -14, 15, 6],\n [-19, 14, 12, 18, 14, -16, 10, -16, -19, 25, -23],\n [-14, 6, 25, 4, -16, -5, 12, -6, -11, -5, 5],\n [-7, 17, -18, 16, -4, 20, 20, 21, -14, -9, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1313", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-14, 5, 25, -18, 22, -8, 1, 16, 17, -20, 2],\n [3, -8, 19, 17, 20, 20, -3, 10, -16, 1, -8],\n [15, -13, -3, 25, 14, 17, -3, 14, 24, 23, 3],\n [-16, 4, -4, 5, 16, -3, -22, 14, -24, -12, 14],\n [0, -4, 20, 14, -8, -18, 16, 10, -15, 20, -10],\n [16, -11, 14, 21, -7, -18, -9, -8, -24, 11, 22],\n [-2, -9, -11, 25, -2, -3, 1, -4, 21, -13, 23],\n [-14, 9, 2, -16, -16, 19, -2, 2, 13, 11, -17],\n [10, 9, 17, 23, -24, 15, 12, -3, -14, 25, -5],\n [3, 10, 17, 11, 1, -20, -6, 22, 17, 15, -4]]\nB =\n[[-3, 8, -22, 6, -10, -22, 2, 2, 15, -4, -18],\n [0, 13, 4, 24, -17, 0, 16, -15, -1, 8, 1],\n [25, -16, -11, 24, -21, -14, -18, -20, -2, -25, -1],\n [19, 21, -15, -3, 10, 14, -19, 1, 19, -5, -21],\n [7, -10, -15, 6, 24, -2, -17, 10, -19, 2, -3],\n [13, -13, 25, -19, -5, 13, -13, 10, -14, -18, 22],\n [17, 10, 21, 18, -3, 8, -3, 12, 3, 24, -2],\n [-4, -14, -10, -25, 25, 4, 10, 16, 16, -2, 13],\n [12, 6, 6, -14, -16, -14, -13, -11, 4, -13, 25],\n [22, 17, -25, -8, 13, -14, 24, 18, -17, 23, -22],\n [1, 2, -2, -22, 2, -6, 3, 7, 4, -23, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4277", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 14, -5, -6, 7, 12, -17, 24, 5, 6],\n [15, -3, -3, 16, -10, -5, -14, -20, -12, -4],\n [5, 14, 21, 16, 2, -21, 0, 1, 3, -10],\n [0, -18, -15, -23, -24, -25, -25, -6, 16, 5],\n [24, -10, 25, 22, -23, 13, -20, 17, 11, 15],\n [10, -14, -16, 9, 13, -24, 5, 14, 19, -11],\n [7, -24, 1, 24, -2, 1, 25, 5, -19, 0],\n [-4, -24, -10, -1, -10, -3, 10, 23, -12, 14],\n [-17, 14, 5, 24, -19, 19, -25, -5, 3, -18],\n [-17, -7, 21, 9, 1, -5, -3, 17, -12, -14]]\nB =\n[[-21, 8, -19, -21, 9, -1, 4, 16, -15, -18],\n [12, 2, -14, 19, 8, 5, -5, -10, -2, -4],\n [-13, -17, 19, 21, -18, -3, 23, -16, 15, -9],\n [3, 23, 25, 25, -24, -15, -18, -5, 23, 7],\n [24, -19, 15, -1, -17, 16, 22, 17, 12, 1],\n [18, -16, 22, 0, 1, -4, 20, 23, -6, 0],\n [11, 10, 3, -13, -19, -15, 17, 18, -23, 18],\n [9, -25, 16, -25, 7, 0, 17, 22, -23, -2],\n [9, 14, 19, -10, 21, 16, 23, 9, -12, 7],\n [-17, -7, 4, -16, -15, 0, 0, -12, -10, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3944", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[4, -17, -13, 13, -25, 13, -24, -3, 8, -25, 15],\n [16, 16, -21, 13, 6, -16, -4, -2, 9, 5, 18],\n [22, 24, 22, -5, -16, 1, 7, -10, -21, -2, 18],\n [22, 1, -12, -16, -10, 3, -11, -4, 17, -20, 25],\n [21, 1, 3, 19, 2, -7, 7, -16, -15, 18, 4],\n [-12, -10, -19, -22, -10, 25, 9, -17, 23, 10, -17],\n [6, 20, 0, 18, -7, 17, -22, 5, -13, 20, -16],\n [22, -6, -20, 18, 22, -18, 9, -11, 3, 24, -18],\n [-17, 3, -3, -14, 2, 21, 18, -11, 24, 9, 3],\n [-8, 14, -8, -16, -19, -24, -8, 16, 25, 9, 12]]\nB =\n[[-16, -6, -16, -13, -2, 16, 25, 20, -15, -6],\n [-10, 9, -13, 20, -17, 5, 10, -12, 17, -14],\n [-3, 23, 6, 22, -25, -10, 24, -15, 3, -24],\n [-10, -10, 1, 10, 7, 0, -15, -19, 12, 12],\n [-1, 24, -18, 2, -20, 14, 3, -23, 10, -20],\n [23, -25, -11, 3, -11, -14, -20, 11, -19, 14],\n [16, 13, 13, 20, -22, -16, -13, -19, 9, -21],\n [-8, -19, 12, -18, 13, 17, 16, 0, -20, -8],\n [12, -16, -17, 14, -14, 3, -5, -5, 1, 16],\n [-14, 3, 0, 24, 0, 25, 2, -12, 19, -1],\n [13, -18, -11, 1, 15, 9, -21, -22, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "621", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-20, 3, 14, -23, 10, -9, 23, 11, 23, -1, 18],\n [9, -5, -24, -15, 12, -9, 5, -7, 3, -13, -5],\n [11, -21, 25, 2, -11, 1, -22, 12, -23, 3, -15],\n [25, 10, 1, 13, 9, -21, -10, -5, -1, 4, 25],\n [24, -23, 11, -19, 13, -23, 15, -18, -5, -8, -16],\n [-6, 14, 14, 23, 3, 23, 4, 10, 6, -20, -7],\n [5, 7, -22, -15, -20, -14, 11, 20, 5, -9, -22],\n [-11, 12, 19, -14, -16, -20, -4, 15, 5, -10, -18],\n [13, 20, 10, -23, 3, -23, 25, -16, 20, 6, -5],\n [-20, 18, 6, 18, 2, -22, 4, 16, 18, -9, 2],\n [13, -16, -25, 25, 5, 6, -6, 3, 11, -1, 12]]\nB =\n[[-25, -11, 8, -3, 3, 24, -13, -24, 14, -21],\n [-4, -11, -13, 4, -1, -5, -9, 10, 13, 8],\n [15, 8, 23, 24, 12, 24, 12, 0, -24, 8],\n [12, 15, 10, 16, 8, 19, -22, -15, 16, -13],\n [13, 10, -21, 13, -15, 1, -23, 19, 2, 9],\n [11, -12, 3, 11, -9, -12, 5, 22, 12, -21],\n [-8, -8, -11, 25, -22, 12, 15, -17, -7, -1],\n [23, -6, -12, -18, -17, -5, 8, 14, 15, -13],\n [0, 16, 19, 11, 4, 21, -6, -19, 18, -6],\n [-10, -24, -16, 15, 9, 17, 2, -16, -13, -4],\n [8, -10, -18, -6, -16, 3, 23, 24, 16, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2031", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, -24, 8, 16, -5, 8, 6, 4, -12, -7, 4],\n [15, 1, -10, -1, -1, -2, -23, -2, -15, 6, -3],\n [-14, 13, -5, 11, 8, -5, 0, 10, 23, 24, 8],\n [-17, -8, 18, 16, 13, 4, -23, 24, -24, -23, -11],\n [15, -23, 12, 17, 8, -9, -23, -19, 5, -16, 25],\n [9, 2, -6, -25, 16, -13, -18, -2, -4, 1, 21],\n [7, 0, 18, -23, 4, 12, -16, -20, -9, -19, -12],\n [8, 20, -20, 7, -8, -20, -8, 4, -22, -1, 20],\n [-23, 20, -21, 20, 25, 14, -21, -16, 19, 12, -6],\n [16, -13, 16, -25, 4, 10, 19, 12, -18, -17, 15],\n [20, 7, 11, 23, -20, -9, -3, 11, -24, -8, 12]]\nB =\n[[2, -12, -4, -25, 17, 16, 21, 15, 13, 18, -18],\n [1, -16, 8, 20, 15, 7, 22, 11, -18, 4, -6],\n [-25, 23, -19, -15, 13, -19, 10, -6, 7, 21, 8],\n [-3, -2, -17, -3, 20, 22, -9, 13, 8, -20, -23],\n [12, 12, -18, 14, -17, -11, 4, 23, -22, 3, 7],\n [-20, 3, -7, 11, 1, -15, 16, -17, -10, 25, -8],\n [-13, -19, -9, -17, 6, 0, 16, -4, 19, 2, -10],\n [10, -1, 2, 3, 16, -25, 5, 4, 14, -1, -8],\n [11, 17, 25, -17, -11, 3, 11, -21, 18, -17, 11],\n [-16, -1, 12, -16, 12, -6, 16, -17, -23, 17, -15],\n [-22, 23, 2, 15, 12, -15, 25, 6, -8, 14, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "366", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-7, -10, -23, -13, 23, 25, 11, 22, 4, -12, 25],\n [10, -20, 6, 15, 14, 6, -14, 17, 13, -1, -1],\n [-18, 16, 9, -20, 17, -22, 18, 9, 0, 5, -5],\n [-2, -16, -19, 0, 2, -24, 18, -12, -19, -9, -11],\n [-4, 6, 0, -3, 0, 24, -2, -4, 1, -5, 11],\n [17, -18, -12, -24, -19, 1, -18, -22, -16, 20, 21],\n [-16, -10, -23, -3, -24, -25, -15, 22, 18, 11, -6],\n [-5, 4, -1, 21, -9, 14, 25, -3, -7, 18, -5],\n [-19, -20, -24, -23, 15, -15, -4, 24, 22, 16, 22],\n [-17, -6, -24, 24, -10, 0, -3, -12, -5, -3, -14],\n [-22, -9, 5, 2, 13, 10, 21, -12, 5, 7, -17]]\nB =\n[[-4, 10, 4, -17, -17, -14, 2, -10, 11, 23],\n [-20, -17, 17, 8, 5, -19, 6, 23, 17, -2],\n [4, 16, 0, 7, 0, -7, -25, -6, 12, 22],\n [-14, 17, -4, 24, -19, -4, 1, -12, -13, -6],\n [-18, 20, -8, -22, -3, -3, -22, 15, -24, 20],\n [18, -4, 25, 24, 18, -25, -16, 8, 5, -12],\n [22, -7, 20, 3, 20, 10, 4, -15, 4, -4],\n [-24, 13, -1, 19, -18, 6, 18, -19, -4, 3],\n [-24, 12, 17, 23, -11, -6, 0, -15, -3, 15],\n [23, 16, -22, -22, 22, -25, -3, -2, 1, -19],\n [8, -22, -24, -3, 22, 10, -4, -16, 16, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1262", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[15, 1, -2, -19, 25, -5, -18, 24, 10, -21],\n [-10, -8, 12, -3, 18, 11, 25, -5, 19, -4],\n [-13, 10, -15, -20, -17, -6, 13, -2, -14, 16],\n [9, 13, -1, 1, 16, -25, -14, -25, -13, 13],\n [24, 14, -20, 3, 21, 24, -22, -3, 18, -18],\n [11, -24, 24, -22, 25, -3, -5, 0, 14, 4],\n [7, -4, -14, -20, -6, -19, 4, 17, 15, -18],\n [-9, 17, 2, 6, 22, -17, 18, -22, -23, 18],\n [24, 10, 22, -19, -16, 7, -12, -8, 7, 0],\n [13, 24, -9, 17, 2, -24, 14, 11, 6, 1],\n [5, -22, 9, 6, -15, -3, 21, -3, 13, 9]]\nB =\n[[-9, 23, -6, 17, 24, 6, 12, 20, -21, -11],\n [6, 8, 0, 25, -11, -17, -21, 8, 7, -5],\n [-23, 4, -21, -2, -10, -20, 14, 9, 0, 18],\n [-25, -6, 20, -15, -6, 13, -22, 12, 20, 16],\n [4, 10, 19, -4, 14, -8, -21, 18, 4, -21],\n [13, 25, -12, -15, -5, -15, 6, 3, -23, -13],\n [-20, 22, 2, 5, -3, 12, 12, -20, -4, 19],\n [14, 23, 8, 12, 12, -19, -25, 6, -4, 14],\n [-23, -22, -9, 9, -3, 3, -24, 20, -20, 24],\n [-2, -24, -14, -21, 16, -11, -13, -16, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4331", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[23, 19, -19, -4, -22, -24, -4, -2, 0, -4],\n [-21, -16, -7, 15, -4, 1, -24, -5, -1, -4],\n [-17, 5, 19, -25, -11, 4, -13, -12, 17, 8],\n [-1, 7, 17, -5, 6, -10, -21, 1, 0, -7],\n [-4, -16, -11, 8, 4, 9, -12, -3, 23, -19],\n [20, 0, 3, -16, 22, 4, 20, 20, -3, -16],\n [21, 0, -8, -25, -23, 15, -16, 3, -21, -21],\n [-11, 0, 0, 10, -22, 0, 24, 3, 13, -4],\n [-25, 2, 20, 13, -7, 15, -14, 16, -20, 9],\n [-15, -25, -25, -19, 17, 16, 3, 8, -19, 5]]\nB =\n[[-25, 11, 0, 24, 3, 9, 11, -16, -21, 4, 24],\n [20, -22, -19, 25, -6, 2, -19, -15, 23, -12, -18],\n [-2, 25, 5, -24, -18, 1, 17, -2, 25, -20, -15],\n [23, -10, 3, 15, 4, 19, -19, -10, 10, 5, -15],\n [-7, -12, -11, -18, -14, 17, -2, 12, -13, -8, 9],\n [3, -6, 8, -23, 14, 9, 16, 5, -19, -17, 24],\n [22, -9, -19, 25, -21, -2, -11, -24, -11, -5, 11],\n [-12, 25, -24, -1, 1, 25, 12, -7, 16, 22, 4],\n [23, -16, 5, -13, -13, 1, 20, -7, -7, 11, 15],\n [-11, 2, 18, 10, 2, 24, 7, 18, -4, -17, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63375", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-20, -24, 17, 17, 0, -21, -3, -20, -25, 9, 15],\n [7, 0, -1, -13, -9, -10, 18, 4, -24, -22, -13],\n [12, -9, -3, 3, 22, -17, -11, -24, 3, 8, -9],\n [-12, -11, 0, 8, -23, -8, 11, 10, 13, -19, -3],\n [11, 0, -11, -2, -6, 11, -2, -12, 6, 9, -3],\n [7, -24, -13, 4, 8, -15, 11, -14, -8, -6, 23],\n [-13, -20, -16, 7, 24, -22, -22, 15, 11, 16, -14],\n [-21, -1, -1, 7, -11, -6, 13, -14, -12, -4, -2],\n [-14, -6, 22, 2, -15, -4, 24, 7, -12, -13, -1],\n [14, -10, 4, -25, 2, 5, 10, 22, 19, 24, -24]]\nB =\n[[16, 11, 17, -24, 7, 23, 10, 4, 8, -8],\n [10, -2, -25, 20, -2, -5, 3, -13, -16, -13],\n [-15, 12, -20, 25, -16, 24, -13, 22, 24, 9],\n [21, -4, -9, -23, 4, 8, 1, 19, -22, 7],\n [17, 5, -7, -15, 11, -11, -6, 11, 23, -18],\n [-24, 12, 24, 1, 24, -12, -2, 9, 2, 8],\n [-9, 7, -3, -18, 7, -7, -14, -22, 5, 18],\n [-5, -14, -19, -8, 13, -15, 7, -4, -18, 13],\n [5, 1, 25, 2, -3, 15, 1, -16, -3, 7],\n [0, -13, 5, 1, -13, 22, 21, 8, 21, -19],\n [18, -14, -21, 12, -20, 0, -7, -11, -17, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2390", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) when matrix A is multiplied by matrix B?\nA =\n[[9, 21, 8, 8, 3, 13, 1, 20, 19, -14, 13],\n [-24, 21, 10, -8, -20, 4, -5, -4, -15, 13, 14],\n [16, -19, -19, 5, -20, 0, 10, -17, 10, -23, 18],\n [5, 4, 5, 17, 17, 14, 4, -17, -20, -1, 4],\n [0, -23, -4, 16, 19, -17, 24, 9, -19, 11, 22],\n [-17, 1, 2, 19, 18, 7, 24, -20, -9, -3, -1],\n [-7, 3, 5, -20, 11, 8, -2, -16, -15, -2, -24],\n [24, 3, -10, -3, 9, 17, -4, 9, -20, -3, -3],\n [4, 11, 16, -6, -15, -2, -8, 1, -19, 22, -5],\n [-11, -18, 2, -5, -18, 2, 8, 21, -11, 18, 17]]\nB =\n[[11, 1, 15, 0, -14, 8, 5, -23, 0, -20, -6],\n [25, 14, -9, 15, -25, -13, -8, -5, -14, 18, -14],\n [0, 16, 14, 2, 18, -1, -5, 22, 24, 23, -15],\n [-17, 9, 10, 23, 3, 14, -9, 11, 22, 23, -18],\n [18, 21, -21, -3, -16, 21, 15, 21, -11, -10, 1],\n [6, 14, 25, 19, 20, 9, 11, -2, 5, 25, 9],\n [-10, 14, 10, -14, -10, 23, -21, 21, -21, -6, 22],\n [12, 10, 6, 14, -15, -15, 17, 23, 2, -14, 20],\n [5, 14, 4, -6, 1, -1, 24, 8, 9, 17, -21],\n [14, 13, -18, -7, 17, -8, -10, -7, -11, 3, -11],\n [3, -9, -11, 14, -15, -23, -13, 12, -17, -6, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -14, 23, 5, -24, 7, -10, -21, -9, 23, 14],\n [6, -11, -14, -9, -16, 0, 18, 2, 2, -3, -6],\n [-9, 18, -18, 24, -11, 15, -3, -12, 14, 20, 1],\n [17, -13, 13, 17, -1, 0, 18, -15, 12, -17, 17],\n [7, 25, -10, 23, -6, -19, 7, -13, 21, 9, -22],\n [5, 4, -23, 15, 1, 6, 21, 12, -20, -18, -2],\n [-11, -1, 1, 18, -13, -6, -21, 12, -19, -21, 2],\n [11, 3, 16, 11, -19, 20, 0, 21, -7, -16, 16],\n [-6, 20, 5, 10, 20, -20, -11, -2, 4, -17, -25],\n [24, 21, -11, -20, -11, -19, 20, 1, -16, 6, -5],\n [18, 11, 12, 10, -12, 16, 13, 15, 22, -12, -24]]\nB =\n[[-2, -16, 16, -20, -23, 8, 0, -16, 12, -5],\n [-1, -24, 10, -25, 18, 16, 10, 18, -2, -16],\n [25, 9, -4, 20, 21, 8, 6, -10, 4, 10],\n [5, 4, -21, -2, 20, 10, 1, -12, 11, -13],\n [-6, 2, 25, -20, -17, -4, -3, -18, -25, -19],\n [-14, 13, -9, 24, -10, -22, 11, -17, -17, 1],\n [-14, 8, -3, 9, 14, -17, 17, -13, 24, 20],\n [17, -24, 21, -24, 3, 19, -4, 17, -5, 21],\n [-20, 21, 2, -10, -25, -3, -18, -18, 16, -25],\n [-15, -18, 21, 25, 5, 20, 10, -18, -2, 1],\n [3, 18, -8, -17, 10, 12, -12, -13, 14, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61604", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 10) when matrix A is multiplied by matrix B?\nA =\n[[13, -12, -18, -14, 5, 8, 10, -5, -22, -15],\n [16, 11, 15, -19, -14, -21, -23, 6, 14, 9],\n [10, -14, 4, 7, 14, 15, -23, 0, 12, 15],\n [8, -23, -12, 19, 20, -12, -9, -11, -14, 13],\n [15, 18, 4, 23, 25, -19, 22, 9, 25, 25],\n [5, 14, 11, -12, 25, 2, -14, 15, -20, -22],\n [7, -21, -17, 13, -8, 6, 5, 8, 14, 1],\n [11, 11, 13, 18, -13, -22, -17, -18, 20, -20],\n [7, -20, 22, -9, 11, -13, -4, 24, -7, 2],\n [17, -1, 18, -18, 19, 6, 21, -15, 12, -8],\n [22, 1, 12, 11, 20, 16, 10, 15, 8, -11]]\nB =\n[[-13, 1, -7, 10, -13, -19, 19, -25, 15, -5],\n [-10, 23, 3, -2, -7, 1, 22, 21, -25, 1],\n [-12, -15, -3, 21, -6, 0, -8, 10, 4, -22],\n [-7, -21, -24, -16, 23, 17, 17, -15, 25, -4],\n [17, -18, -23, 15, 14, -8, 24, -4, -15, -24],\n [-4, 15, 25, -11, -18, -7, -17, -21, -18, 7],\n [23, -11, -11, 15, -19, -5, 20, 0, -25, 25],\n [0, 0, 2, -17, 0, 25, -13, -21, 20, -8],\n [-3, 2, 11, -21, 1, -6, 10, 11, 8, -12],\n [21, -20, 1, -24, -17, -15, -21, -15, -23, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1066", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, -17, -7, -9, 23, 20, -2, -12, -16, -19],\n [-13, 9, 5, 12, 16, 11, 3, -20, -18, -1],\n [-21, -16, -3, -25, -13, 11, 0, -7, 0, 22],\n [24, 25, 16, -24, 15, -7, -14, 18, 9, 6],\n [-13, 10, -25, 7, -22, -24, -18, -10, -4, -16],\n [-17, -19, 14, -9, 4, -15, 17, -11, -19, -23],\n [-3, 1, 4, 22, -10, -12, -4, 24, -6, -16],\n [3, -22, 5, -12, -21, 12, -22, -15, -1, -14],\n [5, -15, 13, 6, -15, -19, -24, -25, -1, -17],\n [20, 10, 3, -16, 1, -7, -7, -6, 3, -23],\n [-4, -4, 3, -3, 14, 0, 21, -4, 12, -17]]\nB =\n[[-5, 10, 24, 22, 10, 6, 6, 8, -3, 0, -10],\n [12, 23, -23, 19, -24, 10, -17, 2, -2, 23, 19],\n [2, -19, 0, 20, -25, 15, 19, 15, 9, -8, -4],\n [-13, -10, 21, 25, 3, -5, 16, -17, 3, -14, -18],\n [-16, 8, 21, -6, -10, 16, 19, -15, 22, -12, 5],\n [14, 25, 8, -22, 24, 22, -19, 16, 12, -25, 24],\n [20, -2, 16, 2, -2, -13, 12, -16, 0, -24, 7],\n [2, 1, -20, 25, -9, 7, -11, 20, -23, -16, 3],\n [-19, 24, 10, 18, -4, 5, 13, -12, -24, 23, -20],\n [-7, 1, -20, -24, -13, 21, -16, 14, -21, -12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4151", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (11, 11) when matrix A is multiplied by matrix B?\nA =\n[[-1, -20, -14, -23, 21, 24, -3, -25, -11, 23, 14],\n [-13, 12, -12, -7, -17, 2, 7, 7, 19, 13, 7],\n [-22, -8, 0, -1, 9, 13, -8, 7, -8, 3, 15],\n [-18, 23, -24, -22, -11, -18, 4, 21, 13, -2, 15],\n [-14, 10, -12, 17, 6, 25, -12, 2, 17, -6, -13],\n [20, 19, -9, 4, 22, 14, -9, 6, 18, -7, -17],\n [17, 0, -25, 23, -7, 19, -14, 18, 2, 19, 12],\n [5, -13, 17, -15, -14, -3, 21, 3, -17, -12, 6],\n [-23, -19, -20, 9, 1, 2, -3, -16, -9, -11, -12],\n [-15, 3, -8, 0, 21, 25, -1, 14, 17, -25, -23],\n [-7, -15, 2, 25, -8, 20, -12, -13, -7, 18, 25]]\nB =\n[[6, 17, 7, -20, 4, -16, 4, -17, -20, 19, -20],\n [-6, -9, -24, -24, -16, -25, 8, 21, 10, 14, 25],\n [-6, 6, -9, 13, -4, -21, -25, 5, -8, -21, -1],\n [-19, -12, -19, 4, -9, -13, -2, 10, -14, -8, -3],\n [-4, -1, 18, -1, 10, -5, 22, 20, 3, -18, 23],\n [-21, -24, -3, -24, -4, -5, 18, 23, -9, 14, 5],\n [-1, -19, -1, -8, 6, -18, 21, -12, 22, -20, -3],\n [-11, -4, 10, -23, 19, 18, -17, -21, -14, 3, -25],\n [7, -5, -5, 1, -24, -18, -14, -4, 23, -17, 18],\n [12, 3, -23, -4, -22, 3, 15, -13, -2, -24, -23],\n [-11, -2, 24, 0, -18, 14, 21, -21, -18, 20, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[20, 6, 5, -18, -9, -3, 13, 24, -13, 18],\n [-11, 19, 2, 22, 4, -11, 12, -18, 20, -11],\n [12, 13, 25, 8, 10, -6, 18, -13, 18, 19],\n [21, -5, 21, -3, 20, -23, -4, 3, 14, 4],\n [-2, -1, -14, 24, -6, 7, 13, -4, 20, -7],\n [6, 25, 0, 18, -19, -18, -15, 14, -10, -17],\n [15, -22, -15, -16, 3, 15, -21, -23, -13, -10],\n [15, -18, 2, -2, 12, -24, -20, -7, -8, 12],\n [-2, 13, -6, -2, -24, 10, -10, 9, -19, 4],\n [9, 13, 17, -10, -10, -2, -12, -10, 6, -19]]\nB =\n[[-1, -3, -24, -17, 11, 16, 6, 17, -4, -8],\n [16, 20, -3, -17, 1, 8, -17, -5, -9, -21],\n [-12, -8, -2, 25, -17, 5, -5, 9, 0, -9],\n [-22, -19, -23, 15, 5, -5, -12, 18, 1, 12],\n [-3, -16, 20, -5, 24, -23, 22, -15, -13, -17],\n [20, -11, 25, -24, -2, -13, -2, -3, 24, 8],\n [-23, -12, 0, -25, 3, -14, -21, 25, 15, -19],\n [9, -19, 21, -1, 6, 2, 17, 0, -16, 7],\n [-17, 9, -20, -8, -22, -7, -20, 7, -22, 7],\n [23, -22, -5, 2, -19, -18, 9, -14, -7, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3560", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -8, 2, 12, 6, 4, 6, -4, 24, -21],\n [17, -19, -17, -23, -7, 18, -8, 4, 21, 11],\n [-18, 3, 18, -9, -7, -12, -10, -11, 10, -8],\n [14, 11, 5, 23, 14, -13, -17, 20, 23, 12],\n [-19, 7, -2, 10, 1, 17, -16, -13, -4, 19],\n [-20, 24, -5, 1, 18, 8, -20, -19, 9, 4],\n [-15, 4, -5, 15, 20, -15, -20, -7, 21, -1],\n [6, 1, 20, -14, -13, -21, -14, 23, 0, 25],\n [9, -8, -8, 15, -23, 0, 17, 22, -11, 12],\n [0, 15, -25, -12, 25, 9, -17, 1, 15, 6],\n [-21, 6, 5, -20, 5, 5, 18, 13, -19, -16]]\nB =\n[[22, 23, 5, 19, -21, 6, -12, 15, -12, -18],\n [-6, 16, 15, 13, -16, -16, -18, -9, 12, 25],\n [-13, 11, 10, -5, 18, 21, -24, 4, 21, -7],\n [14, -11, -2, 16, -13, -2, 25, -25, 17, -8],\n [25, -8, 25, 13, 11, 20, -15, 2, -15, 6],\n [8, 15, -25, -11, -2, 14, -24, -20, -24, -9],\n [-19, -23, -2, 25, -14, -8, -18, 18, 0, -25],\n [-25, 16, -23, 16, -22, -2, -14, -12, 14, -2],\n [4, 13, 7, 23, -5, -11, 21, 6, 11, 5],\n [-25, 25, 7, 8, 17, 18, -15, 14, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64632", "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, 5, 3, -13, -16, -17, 19, -23, 23, -8, 1],\n [6, -18, -13, -8, 0, -10, -5, 20, -1, 19, -22],\n [7, 4, 5, 7, -20, -11, -11, 13, 5, -17, 6],\n [19, 12, 16, -5, -14, 9, -11, 17, 2, 6, 25],\n [0, -16, 15, -3, -25, -10, -5, 21, -9, -6, 0],\n [-9, -1, -1, -22, 2, -25, -12, -4, -12, -11, -21],\n [-11, 18, 21, 8, 3, -4, -10, -19, -25, 25, -19],\n [16, -4, 24, -18, 12, -25, -3, 6, -1, 19, -18],\n [-2, 10, -21, 21, 11, -2, 17, 16, 15, -18, -24],\n [6, -3, 6, 22, -23, 24, -8, 16, 24, 9, 2],\n [-6, -4, -25, 16, -18, -18, -6, -9, -11, 17, 22]]\nB =\n[[-4, -10, 7, -2, -6, 4, 7, -1, 20, 20, 10],\n [-18, 4, -10, 14, -11, 1, 24, 19, -16, -2, 5],\n [12, -7, -25, -24, 13, -14, 4, 14, -13, -1, 7],\n [-1, -8, -18, 6, -14, -7, -5, 18, -24, 21, -15],\n [25, -1, -25, 9, 7, 15, 1, -5, -12, 22, -23],\n [15, 3, -9, 23, -22, 18, 20, -4, -12, -12, 22],\n [-17, -24, 11, -21, -8, 17, 6, 15, -17, 18, -22],\n [-23, 11, -5, 13, 20, 4, 11, -2, -25, -10, 2],\n [4, -7, -3, 8, 24, 11, -3, 17, -10, 15, 6],\n [-10, 9, 1, -23, -6, 1, -24, -13, -20, -12, -2],\n [1, -17, 24, -3, 9, 18, 25, 11, -12, 0, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65197", "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, -18, 10, 4, -10, 5, 5, 9, 11, -12],\n [21, 13, -1, -25, 3, 2, 3, -16, -18, 14, 4],\n [4, 15, -20, -11, -2, -13, -17, 24, -6, 10, 23],\n [-13, 1, -8, -18, 16, 23, -18, 25, -2, 18, 14],\n [1, 25, -6, 9, -18, -2, 14, -14, 21, 7, -12],\n [-5, 7, 15, 19, -25, -20, -12, 2, -1, 13, -3],\n [17, 13, -9, 5, 2, -19, -8, -10, -20, -24, -6],\n [-3, -24, -1, 21, -20, 17, 14, 3, -17, -17, -12],\n [19, -11, 20, -10, 22, 25, 19, 18, -17, 2, -22],\n [14, -14, -4, -25, 18, 14, -22, 16, 7, -6, 9]]\nB =\n[[21, -24, -16, -18, -12, 1, -13, -13, 3, -18],\n [-2, -21, 2, -24, -5, 12, 1, -18, -14, -16],\n [24, -19, 15, -16, 3, -1, 0, 0, -20, -4],\n [13, -14, -19, 0, -13, -8, -21, 5, -9, -11],\n [8, -4, -21, -10, 7, 15, -22, 7, 2, -15],\n [-21, 16, 15, -19, 25, -2, 18, 24, -22, -14],\n [-22, -1, -23, -9, 0, 24, -17, 20, -13, -21],\n [21, -21, -14, 2, -16, -25, 9, 2, 25, -24],\n [-3, -21, 7, 5, -11, -25, 3, -2, -17, 9],\n [-10, -18, -18, -3, 21, 18, -9, 1, 3, -15],\n [-3, -22, -9, -15, -18, 25, 0, 23, -18, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50087", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 8) of the product of the following matrices:\nA =\n[[-19, 25, 8, 6, -13, 10, -8, -13, 4, -25],\n [9, -23, 4, 22, -1, 7, -10, 23, -23, 21],\n [3, -12, 17, 19, -21, 18, -9, 3, -5, -20],\n [-2, 23, 2, -9, 16, -4, -2, 14, -8, 2],\n [-16, -25, 11, 0, 24, 0, 7, -17, -8, -21],\n [-4, -16, -12, -14, 6, 13, 19, 10, 25, 24],\n [21, -11, 7, -10, -22, 25, -23, 0, 11, 8],\n [16, -17, 18, -12, 21, 7, 22, 12, -21, 25],\n [21, 2, 7, -9, -5, -19, 14, 9, -19, -18],\n [25, 18, 16, 5, -21, -21, -2, -4, 18, -13],\n [-4, 0, -25, -9, -7, -24, 24, -15, 4, 20]]\nB =\n[[-3, -11, -3, -14, 1, -20, 4, -21, 20, 12],\n [9, -20, -12, 24, -9, -17, 14, 5, 10, -16],\n [1, 23, -21, -9, 5, -12, -3, 18, 3, 13],\n [-11, 21, -14, 7, 14, 4, -4, 4, 6, -6],\n [12, -6, -24, 5, 24, 2, -23, -6, 9, -7],\n [-20, -15, 19, -20, -8, 21, -12, -12, -25, -9],\n [-12, 5, 19, -16, 12, 7, -21, -10, -6, 22],\n [-4, 14, -9, 24, 24, -17, 12, 16, -17, -11],\n [20, -12, -17, -17, 7, 5, -16, -16, 13, -21],\n [-8, 7, 23, -8, -14, -1, 1, 15, -17, 23]]\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[[-13, 23, -4, -24, 13, 22, -11, -3, -13, 19],\n [21, -6, -13, 1, 16, -9, 5, 0, -4, 15],\n [6, -4, 2, 16, 21, -25, -22, -10, 17, -3],\n [12, 15, 22, 10, -12, 17, 17, -23, -25, 18],\n [-10, -18, -25, -5, -24, -14, -12, -4, -6, -9],\n [-19, -5, 8, -4, -4, -5, -13, 19, -20, -1],\n [18, 5, -1, 6, 3, 22, 9, -14, -10, -17],\n [-13, -14, 0, -11, -22, 23, -16, 22, 18, 12],\n [22, -14, -4, 12, 4, -11, 10, -21, 23, -22],\n [0, 17, -7, -12, 1, 12, 0, 16, -3, 16],\n [24, 23, -24, -13, -14, 11, 14, 10, -23, -22]]\nB =\n[[5, 15, 2, 14, -15, 21, 17, -10, 12, 3, -11],\n [-5, -12, -10, 1, 2, -12, 10, -16, 21, -17, 2],\n [-12, -7, -13, 25, 11, 13, -23, -19, 2, -12, 11],\n [22, -4, 5, -25, 21, -14, -2, 4, 20, 22, 1],\n [-10, -5, -22, -24, -5, -19, 11, -19, -24, -14, -25],\n [-23, -25, 9, -10, 25, -18, -5, 25, -21, 5, 0],\n [-25, -3, -13, 6, -21, -6, 25, 2, -19, -13, 6],\n [20, -8, 20, 19, -18, 3, -6, 0, -8, 20, -24],\n [17, 21, 16, 23, -2, 17, -18, -4, 8, 6, 9],\n [-1, -19, -12, 18, 3, 11, 11, -19, 7, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-535", "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, -18, -14, -23, 5, 18, -18, -22, 6, -19],\n [-12, 8, -21, -14, 11, 1, -5, -13, -1, 8],\n [16, 18, 22, -9, -5, -11, 0, 7, 9, 0],\n [-14, -4, -16, -17, 10, 8, -5, 7, -16, 19],\n [-19, 2, -8, -11, 14, 4, -1, 24, 24, 19],\n [4, -10, -16, -1, -14, 14, -25, -17, -6, 12],\n [-8, 3, 11, 23, -14, 11, 6, -14, 11, 13],\n [-14, 7, 17, 6, 7, -2, 5, 21, 4, 0],\n [-24, -9, -25, 5, 3, -15, 19, -22, 10, -18],\n [10, 21, -5, -15, -14, 0, 1, 8, -16, -17],\n [13, -13, -14, -9, -22, 13, 2, 15, -6, -19]]\nB =\n[[-18, 9, 3, 21, -11, 5, -14, -5, 22, -10, 13],\n [6, -20, -2, 6, -8, 18, -16, 3, -17, -13, 25],\n [1, 11, -18, -24, 16, -22, -16, -12, -1, 15, -12],\n [-16, -18, -20, -21, -5, 23, -3, 11, -7, 23, -6],\n [-16, -8, -6, 22, -15, -11, 6, -15, 3, 14, 13],\n [-25, 21, 1, 9, -18, -14, 2, 22, -7, 3, 16],\n [16, -8, 8, 25, -7, -2, 8, 6, -24, 6, -18],\n [19, -17, -3, 3, -19, -21, 14, 6, 14, -23, -16],\n [14, 3, 19, -7, -1, -6, 21, 12, 20, -16, 25],\n [-15, -12, 25, 5, -21, 17, 2, -7, 7, -24, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55637", "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, -16, 12, -11, -4, 1, 1, -4, -5, 5],\n [8, -20, -13, 14, -11, 1, 5, 22, 16, -3, 20],\n [9, -18, 7, 2, -19, 10, 17, -13, 16, 5, -13],\n [9, 24, -19, -4, 14, 8, -17, 6, 9, -23, -5],\n [-13, 7, 10, -16, 10, -8, 5, 19, 14, -25, 5],\n [0, -10, 12, -14, 22, 17, 17, 25, 3, -14, -21],\n [16, -24, -14, -12, 21, 4, 9, 21, -9, -23, -17],\n [-19, -6, -14, -19, 3, 3, -8, -24, 22, -15, 0],\n [1, -7, 12, -6, -2, 13, -13, -20, 14, 11, -25],\n [-24, 12, 15, 4, -2, 15, 12, 1, 4, -17, 11],\n [-10, 9, 2, -14, -14, 25, -17, 3, 25, 25, -5]]\nB =\n[[-9, 7, 8, 0, -8, 8, 12, -1, 25, 8, 24],\n [22, 19, -11, -24, -3, 19, -20, 13, -7, 8, 11],\n [20, -3, -11, -24, 12, -1, 18, -18, -15, 3, -21],\n [11, -6, -14, -10, -5, 11, 24, -5, 2, 8, -18],\n [20, 5, -5, -23, 21, -5, 3, 6, 23, 0, -13],\n [-11, -24, 23, 7, 5, -25, -11, 13, -11, -6, -19],\n [10, 17, -14, -13, -21, 17, -20, -21, 19, 13, 17],\n [21, -20, -20, -15, 1, -10, 19, -23, -4, 6, -1],\n [-8, -7, 22, 4, 9, 25, 20, 1, -8, -13, 18],\n [5, -23, 5, -2, 11, -4, 7, 19, -11, 12, 16],\n [-12, 22, -11, 3, 0, -4, -22, 7, -21, 2, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66486", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 16, 6, 3, 20, -2, 4, -17, 22, -8],\n [-15, -4, 11, -3, 3, -13, 6, 18, -16, 17],\n [22, -20, -5, 9, -23, -5, -6, 24, 17, 8],\n [-23, 19, 19, 14, 11, -21, 24, -15, 22, -9],\n [-22, -18, 15, 21, -4, 6, 1, -20, 5, -22],\n [21, 13, 4, 17, 7, 5, 2, -1, 23, -9],\n [5, 24, 10, 20, 17, -9, -16, 25, 22, -4],\n [5, 4, 25, -6, -12, -11, 17, -7, 14, 5],\n [11, -3, 18, -12, -4, 4, 22, -18, 18, 5],\n [-10, 13, -2, -5, -18, -8, 12, -20, -12, 4],\n [-12, -19, -22, -7, -1, -1, -7, 4, 17, 4]]\nB =\n[[-11, 22, 3, 9, 7, 13, 14, -3, -3, 17],\n [11, 16, 4, -10, 7, 1, -16, -6, -22, -6],\n [-11, 12, -11, 21, -9, -6, 23, -9, -14, -15],\n [4, 0, 22, -1, 19, -9, 15, -25, 24, 0],\n [-23, 17, -15, 21, 2, 2, 4, 9, -19, 7],\n [22, 1, 3, 1, 16, 5, 21, -21, 8, 11],\n [-5, 0, 17, -21, 7, 16, -24, -3, 25, 17],\n [3, -8, 9, -16, 13, 7, 6, 16, 11, -3],\n [-25, -9, 20, 10, 1, 22, 13, -25, 12, -12],\n [-22, 6, -5, 21, 17, 24, -24, -1, 12, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52005", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -13, 18, -7, -14, 5, 8, 15, -3, -17, -10],\n [-2, -18, 11, 5, 6, 16, -3, 12, 10, 6, -3],\n [-3, 7, 15, 0, 14, -23, -25, -13, 1, 24, 1],\n [18, -4, -15, -11, 4, -8, 18, -2, 6, -4, -21],\n [-21, -4, 22, 23, 25, 13, -4, -19, 24, -5, 9],\n [-16, 24, -14, 11, -3, 12, -13, -23, -20, 4, 15],\n [-23, -24, 4, 2, 23, 23, 17, 14, 8, 5, -9],\n [-17, -6, -13, 1, 10, -22, 1, -18, -17, -5, 9],\n [2, 1, -19, 24, 19, 8, -12, 3, 20, 3, -5],\n [23, -24, 25, -16, -2, 1, 25, 25, 6, 19, -3]]\nB =\n[[22, 18, 10, -5, -4, -3, -14, -13, 8, -1, -24],\n [15, -5, 5, -8, -10, -12, 7, 20, -19, 12, -6],\n [-22, -15, -20, 13, 24, -19, 19, 4, 16, -3, 2],\n [12, 9, -25, -2, 22, 2, 8, -9, -2, 5, -6],\n [3, 2, -12, 16, 0, 15, 18, -15, -10, 10, 3],\n [1, 3, 2, 6, 1, -15, 19, -18, 23, 17, -22],\n [-14, 6, -14, 25, -1, -2, -6, 24, 16, -19, 6],\n [25, -20, -7, -8, -14, 17, 21, 11, -16, -3, -8],\n [-5, 21, -13, -24, -24, -8, 9, 22, 8, 15, -16],\n [11, 6, -1, -2, -5, 19, 13, 8, 0, 16, 13],\n [-21, -20, 6, 15, 6, -18, -8, -25, -2, 21, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60324", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 10) of the product matrix AB given:\nA =\n[[-8, -6, 0, 24, 4, 11, 1, 13, -3, 0],\n [-21, -12, 9, 6, 19, -22, -4, 23, 7, -13],\n [-18, 12, 20, -17, 18, 2, -25, -11, -19, -9],\n [-14, 3, -12, -13, 6, 16, -1, 1, -2, -13],\n [3, 4, 1, -19, -13, -19, 9, -20, -4, -12],\n [-5, -8, 22, 3, 0, 13, 11, 24, 19, 10],\n [2, -15, -9, -14, 2, -2, 5, 11, 23, 3],\n [-21, 9, -13, 25, 19, -17, 5, -3, -10, -6],\n [21, -18, 22, -9, 24, -7, 17, 11, 19, 1],\n [-11, -2, -21, 21, 12, -17, -1, -11, 18, 1]]\nB =\n[[19, -20, 13, -10, 25, 3, 7, -8, 10, 15],\n [-25, -13, -20, -6, 12, 8, -8, -19, 11, -10],\n [-12, -12, -22, -12, -25, 7, -18, 1, 7, 4],\n [-6, -20, -25, -17, 6, 7, -8, 11, -7, 7],\n [-21, -14, -25, -20, -9, -18, -21, 9, 2, -11],\n [2, -2, 0, -18, 9, -10, -19, -9, 25, 9],\n [5, -19, 25, -23, -8, 1, -9, 6, -15, -14],\n [20, 10, -14, -14, -6, 16, -23, 5, -21, -6],\n [14, 17, 21, 16, -25, -15, 19, 15, 10, 5],\n [-2, -11, -24, 3, 15, -4, 15, -15, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[17, 13, -11, 9, -9, -22, 5, 3, 4, -21, 3],\n [-6, -17, 11, -12, 18, -8, 23, -9, -9, -20, -5],\n [20, 16, -16, 18, 2, 11, 19, -5, -25, 15, -22],\n [11, 19, 22, -20, -1, -25, 10, 16, 9, -23, 18],\n [14, -2, -3, 0, -21, 8, -12, -2, 12, 7, -9],\n [7, 18, 18, -11, 9, -12, -25, 20, -12, 12, 19],\n [11, -14, 9, 6, -24, 7, -8, 21, -10, -1, 0],\n [-21, -10, 18, -10, -15, -18, -23, -10, -19, 2, -24],\n [25, 9, 5, -15, 15, -15, -25, 4, 4, 7, -14],\n [-16, 18, 20, 17, -22, 16, 23, 7, 12, 5, 5]]\nB =\n[[-21, -5, -8, -8, -22, 24, -6, -6, 22, 2],\n [21, -13, 9, -8, 7, 11, 10, -17, 0, -25],\n [-1, -2, 4, 16, -14, 18, -11, -6, 1, 3],\n [-24, -11, 9, -16, 0, 8, -18, -25, -11, -22],\n [-23, 19, 16, -24, -7, -7, 20, 15, -7, -6],\n [23, 11, -24, -1, 13, -4, 8, -4, -14, 20],\n [13, 20, -14, 22, 20, 5, 6, 10, -12, 0],\n [2, -25, -16, -3, 9, -11, 19, -18, -24, -6],\n [15, 17, 3, -24, 14, 15, 18, 25, -11, -22],\n [16, -13, 2, 14, 17, 11, -5, -11, 7, 23],\n [-14, 4, -22, 13, -15, 18, 1, 22, -8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7409", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, 23, 8, -3, 9, -21, -25, 0, -16, -11],\n [6, 16, -2, 10, 19, -10, -16, 8, 14, -12],\n [-21, -8, -18, 5, 18, -8, -13, 11, -15, -23],\n [-10, -18, -9, 12, -13, 23, 9, 19, 14, -18],\n [-7, 16, -11, -19, 24, -25, -13, 23, -7, -24],\n [-4, -18, 17, -1, 0, -14, -23, -5, -21, -14],\n [1, -25, 17, -23, -16, -13, -7, 5, -13, 4],\n [-12, 6, 16, 23, 12, 11, -12, 20, 11, 2],\n [-6, -1, -15, 1, 3, -21, -3, 25, 21, 23],\n [-9, -23, 25, -21, -18, 7, -12, 16, 5, -18],\n [-25, -21, 25, 13, -21, 8, 21, -25, -16, 12]]\nB =\n[[12, -12, -18, -1, 3, 24, 11, -5, 5, 20, 16],\n [-2, 15, -5, -23, 6, -20, -19, 25, -11, 8, 20],\n [20, -14, -8, -1, 12, -24, -5, -3, 7, 1, 17],\n [3, 21, 12, -9, -18, -5, -3, -8, 18, -18, -2],\n [-17, 3, -15, 19, 10, -18, -22, 20, -2, 23, -24],\n [-14, -14, 0, -7, 24, 0, -2, 16, -1, 15, -10],\n [-25, 6, 22, -2, 14, 25, 8, 24, -6, -3, 2],\n [-8, 6, 20, 13, 13, 2, 11, 0, 1, 18, 1],\n [19, -9, -11, 22, -13, -4, 17, 9, -3, -25, 12],\n [-18, -21, 13, 9, 15, -12, -24, -23, -7, -16, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3798", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[19, -12, -7, 19, -19, -23, -25, -3, -13, 12, 18],\n [-16, 9, 5, 7, -2, -13, 8, -7, -6, -23, -7],\n [21, 5, -7, 16, 1, -15, 21, 14, -15, -9, 8],\n [24, -17, 13, 16, -3, -18, -13, 8, 16, -9, 22],\n [18, 12, -11, 5, 21, 22, -23, 19, 24, 9, 10],\n [-21, 0, 0, -2, -20, -19, 2, 19, -12, 13, -5],\n [-15, -14, 24, 24, 8, 9, -19, -3, -25, -6, 6],\n [8, 24, -6, -12, -21, -2, -5, -14, -24, -16, -13],\n [5, 20, -2, 0, 7, 15, -2, -25, -17, 5, -2],\n [17, 0, 13, -4, 7, 6, 7, -17, -11, -4, -10],\n [9, -1, 9, -1, 20, 11, 23, -16, -10, -8, 19]]\nB =\n[[24, 3, -9, -22, -22, -11, -22, -13, 24, -20],\n [-21, 7, -20, 8, -21, 22, 10, -13, 2, -19],\n [-17, 0, 7, -3, 11, 0, -15, 23, -13, 1],\n [-24, -10, 25, 3, -6, 6, -3, -17, 6, -22],\n [24, 16, 21, 19, 22, -16, -22, 22, -15, -24],\n [2, -14, 14, -5, 19, 8, 8, 10, 24, -23],\n [13, -20, -25, 15, -14, 13, -25, -6, 10, 12],\n [22, 21, -23, 24, 25, 19, -6, 20, 20, -18],\n [-15, 18, -25, 4, 15, -12, -6, 20, 4, 19],\n [-14, -14, 13, -24, -3, -15, 22, -13, -8, -7],\n [1, -15, 4, -25, -13, -18, -4, -6, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16388", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -7, 13, 3, 12, -17, 24, -20, 0, 23],\n [10, -6, 15, -1, -18, 21, 14, 1, -5, -15],\n [-7, -13, 21, -21, 0, -19, -13, 22, -2, 22],\n [-2, 8, 13, -22, -6, -13, 4, 11, -3, 18],\n [-13, 15, 22, 12, 19, -12, 10, 15, -21, -15],\n [-10, -14, -9, 5, -18, -14, -18, -13, -3, -21],\n [-18, -23, 17, -21, 22, 16, 16, -1, 6, -10],\n [-15, -2, 15, -2, 13, 20, 20, -4, -8, -9],\n [-25, -14, -3, -18, 7, -14, -9, 4, 13, 17],\n [-13, -5, -17, 2, -19, -8, 24, 16, 7, 20],\n [-3, -25, 13, -7, -7, -22, -19, 3, 22, 13]]\nB =\n[[-15, 3, -18, 19, -17, -21, 5, -16, 17, -2],\n [-9, 21, -15, 8, -2, -18, 18, 13, -2, -24],\n [-18, 5, 21, 18, 9, -22, -14, 13, -10, -4],\n [-9, -1, 25, -11, -6, 5, 24, -21, 4, 1],\n [20, -12, 20, -9, 4, 20, -22, 16, -22, -23],\n [-19, 13, 9, -13, 10, 25, 10, 21, 2, 6],\n [18, -12, 10, 9, 12, 21, -21, -20, -14, 13],\n [17, 23, -14, -18, 19, -8, 25, -8, -16, -20],\n [-21, 19, -3, -1, -19, 17, 19, -21, 5, -7],\n [25, 10, 18, 24, 9, 17, -17, -2, -8, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67208", "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, 12, 8, 7, -22, -6, -3, 24, 10, 0, 17],\n [-25, 13, 17, 6, 22, 25, 2, -2, -13, 7, -14],\n [7, -12, -13, 22, 11, 1, -22, -22, 14, 21, -10],\n [13, 14, -8, -10, 21, 5, 0, -3, 22, 22, -24],\n [12, -15, -21, 21, -12, -10, 22, 15, 25, 11, -5],\n [-18, -12, -17, -14, -11, -1, -5, 20, 8, 0, -22],\n [-1, 14, 6, 3, -4, 8, -7, 24, -20, -6, -10],\n [7, -17, -4, 8, 21, -7, 15, 15, 11, -22, -21],\n [-14, 7, 25, -17, 18, 3, 4, 3, 19, -9, 9],\n [-13, 20, 10, -22, -25, 12, 17, 1, 2, -1, -2],\n [-24, -3, 25, -4, -8, -10, 6, -23, -25, 8, 19]]\nB =\n[[0, 20, 14, 20, -20, 18, 10, -17, -19, 5, 7],\n [-22, -20, -15, 14, -13, -17, 25, -8, 0, -3, -3],\n [25, -21, -16, 21, 14, -7, -18, -11, -7, -22, 9],\n [11, -14, 5, -10, 14, -5, -6, 24, -4, 18, -21],\n [-18, -18, 7, 1, 4, 2, 14, 25, -8, -16, 14],\n [-13, 11, 17, 14, 25, -3, -7, -3, 15, -10, -14],\n [10, -22, -14, 1, -12, -10, 3, -14, -11, -25, 2],\n [-18, 6, -1, 9, -14, -20, 5, -17, -1, -6, 12],\n [-11, 10, 0, 11, 23, 15, -15, 1, 13, -5, -20],\n [-15, 20, 5, -15, 25, 19, -18, -7, 6, 0, 20],\n [11, 17, 8, 21, -10, 7, 9, -16, 10, -3, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65053", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -22, -7, -7, 16, 16, -12, 7, 22, 11],\n [20, -8, -18, -16, 5, 9, -1, -1, 14, 21],\n [20, -23, -11, 6, -5, 7, 13, 1, -12, 10],\n [20, 15, -16, -2, -16, 5, 13, 21, 2, -22],\n [24, 22, -7, 14, -10, 6, -20, 25, -16, 19],\n [-10, -24, -18, 15, 13, -21, 4, -18, 3, -23],\n [-13, 1, 25, -14, 25, 14, 25, -20, 13, 23],\n [-11, 20, 21, -18, 14, -2, 6, 5, 12, -23],\n [22, 9, -13, 21, 16, 15, -11, 0, -14, -1],\n [2, -7, -17, 9, 19, 10, 6, -23, -21, 15]]\nB =\n[[-8, 16, 25, -11, -1, -8, -19, -4, -2, 9, -4],\n [1, -24, -15, 21, 0, -19, -7, 11, -7, -16, 21],\n [5, -25, -9, -16, 10, -5, -9, 16, 18, 17, -23],\n [25, 24, -4, 4, 24, 10, -21, -23, -25, -9, 23],\n [-4, 1, 7, -5, -25, -22, 15, -20, 2, -14, 19],\n [-3, 17, -14, 16, 22, 23, 19, 7, -5, 15, 14],\n [1, 24, 6, -25, 6, -23, 7, -25, -2, -7, -8],\n [6, 18, -20, -9, -14, 8, 10, 13, -24, -6, -6],\n [21, 13, 25, 6, -23, 0, 15, -14, 24, -23, 2],\n [-17, 0, -20, -21, -17, 20, 8, 2, 0, 9, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1789", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-22, -13, 14, -5, -8, -6, -22, 6, 1, -1],\n [-19, 19, 4, -3, 3, -5, 7, -8, 1, -12],\n [14, 5, 16, -18, -23, 9, 12, -15, 10, 22],\n [17, 8, -3, -21, 4, 11, -10, -12, -19, 7],\n [-24, 20, -21, 19, 19, 13, -11, 16, -24, -2],\n [3, 3, -5, -1, -4, -7, -13, 12, 7, 7],\n [-14, 20, -3, 3, 3, 17, -25, -2, -21, 9],\n [19, -21, -13, 6, 16, 1, -2, -23, -25, 3],\n [19, -4, -21, 17, -5, -14, 2, -15, -11, 12],\n [9, 22, 19, -10, 11, -11, 6, -10, 7, 14]]\nB =\n[[-6, 11, 13, 6, -16, -10, -21, -6, 1, 17],\n [24, -6, -13, -7, 18, 24, -11, 12, 1, 16],\n [-9, -16, 10, 14, -21, 25, 24, 22, 1, 2],\n [-22, -19, -18, -11, 15, 3, 13, -17, -6, -25],\n [-19, 8, 21, -16, 15, 22, -20, -1, -14, 14],\n [15, 13, -12, -15, -14, -7, 16, 2, -7, 3],\n [19, 9, -3, -10, 11, -5, 14, -25, 20, 11],\n [-1, -10, 7, -1, -4, -23, -23, -15, 17, -21],\n [18, -1, 12, -10, 6, 3, -20, -4, -17, -16],\n [-12, 21, 13, -6, -21, -19, 14, -12, -11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1408", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -10, 15, -5, -15, -22, -1, -24, -24, 1, 5],\n [21, -18, 22, -18, -21, -4, 17, -21, 14, 22, -20],\n [12, -19, -8, -1, -23, -1, -5, 5, 20, 23, 16],\n [-10, -4, 25, 3, -14, 20, 17, -25, 0, -16, -1],\n [-1, 17, -22, -8, 17, -18, -19, -9, -20, 16, 18],\n [-5, -24, -13, 6, -13, 3, -21, 0, 12, 6, 22],\n [-8, -9, -6, -11, -11, 21, -22, -17, 18, 20, 7],\n [-16, 21, 17, -25, 14, -17, -4, 0, 9, 7, -16],\n [12, -7, -22, -7, -19, -14, 1, 6, 1, -5, -21],\n [-7, 25, -19, -12, -17, 11, 24, -17, -21, 22, -17],\n [17, 4, -12, -23, -2, 2, 13, -15, -9, -8, 25]]\nB =\n[[-9, -1, 15, -12, -5, -15, 21, 1, -22, 25],\n [15, 8, 14, -19, -8, -7, -8, -11, -15, -14],\n [9, 10, 24, -14, -10, 2, 18, 13, 18, 10],\n [4, -10, -10, 23, -6, -17, 20, -21, 5, -8],\n [18, -4, 13, -24, 24, -23, 21, 2, -15, -16],\n [-6, 5, 25, 19, 22, -4, -8, -14, -11, 8],\n [19, 2, 18, -11, 9, -9, 12, -15, 0, 3],\n [-1, -22, 1, 16, -4, -2, -7, 15, 1, -7],\n [21, 15, -13, 5, -24, 1, -18, -14, 3, 3],\n [-4, 4, -17, -21, 10, -13, 21, -24, 7, -22],\n [-16, 7, -24, -14, -10, 9, -17, -23, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4776", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, -7, -15, 12, 20, 5, -25, 18, 4, -5],\n [-11, -10, -22, -2, 14, -3, -9, 9, 0, 9],\n [-11, -11, 1, -18, -11, -18, 25, -22, -25, -1],\n [9, -18, 23, -9, 2, -20, 17, -20, -25, -23],\n [-17, -11, 14, -6, -10, -16, -12, -10, -11, 15],\n [0, -16, 14, -14, 11, -12, -1, 4, 4, 9],\n [-11, 5, 12, 25, -8, -19, -23, -21, -1, -10],\n [-11, -6, 15, -4, 9, 1, -14, 7, -2, 0],\n [12, 8, -13, 2, -6, -18, 24, -10, 8, 6],\n [22, 4, 9, -10, 22, -17, 5, -7, 17, 8],\n [-10, -2, -10, -11, 5, -19, 18, -11, -24, 13]]\nB =\n[[-4, -2, -1, -14, 25, -12, 8, 20, -6, -12],\n [-8, 9, -9, 22, 19, -3, -4, 23, 5, 3],\n [-1, 6, 5, -20, 11, -9, 21, 5, -5, -24],\n [-19, 1, -4, -22, 1, 25, 19, 6, -5, 9],\n [-17, 2, -16, 24, -3, -2, 22, -22, -9, 22],\n [-2, -25, 11, -24, 14, 22, -20, -12, 10, -5],\n [-1, -18, 1, -12, -22, 20, -18, 1, -7, 4],\n [2, 1, 11, 18, -23, 23, 2, -7, 12, 1],\n [-3, -7, -13, 4, 15, 24, 20, -18, 3, 17],\n [24, 24, 21, -20, -9, 3, 14, 22, -24, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3893", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[19, 13, 25, 9, 5, -14, 5, 0, 18, 6, 23],\n [23, 24, -23, -6, 21, -24, 13, 19, -13, 3, 25],\n [-20, 16, -18, 0, -16, 12, 18, -25, -24, 17, 9],\n [-25, -22, -23, -2, -9, 1, -1, -6, 13, 18, 25],\n [4, -20, -19, 1, -21, 0, 10, -15, 16, -3, -23],\n [24, -11, 18, -1, -10, 6, 0, -21, -16, -15, 7],\n [2, -10, 18, -24, 3, 18, -24, -4, -15, 9, 6],\n [11, 21, -21, 1, 25, -14, -18, -23, 6, -4, 2],\n [0, 19, -5, -15, 1, 17, -19, 12, 17, -17, 21],\n [22, 8, 17, 0, -20, -14, 11, 24, 18, 14, -25],\n [9, -22, 14, 24, -18, -24, -14, 25, -18, 15, 5]]\nB =\n[[-5, 5, 6, -6, 21, -7, 21, 4, 25, -17, -6],\n [-8, 22, -13, 4, 21, 3, 25, 4, 21, -21, -22],\n [24, 20, 5, 16, 7, 23, -25, -7, -11, -24, -22],\n [-23, -3, 14, 17, -20, 4, -3, 15, 23, -11, 19],\n [21, 24, -9, -17, -24, 24, 15, 3, 25, 16, 20],\n [5, 6, -25, 4, 2, 0, -8, -25, 15, 22, -7],\n [9, 7, -18, 23, 1, 11, 16, -18, 18, 22, 6],\n [-7, 4, 10, -16, 10, -10, -23, -4, 25, -4, -5],\n [4, 1, -24, -18, 17, -3, 13, 12, 15, 10, -12],\n [5, 21, 25, -7, 4, -10, -14, -2, 16, 12, 6],\n [24, -7, 14, 21, -21, 19, 20, 21, -24, 25, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82688", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -24, 11, 11, -4, 8, 1, -9, 13, -3, -16],\n [-4, -11, 24, 14, 10, 17, 13, -10, 2, 9, 6],\n [21, -2, -5, 15, -7, 6, 20, 8, -8, -15, -15],\n [-8, -25, 14, -25, -2, 15, -4, -19, -9, 23, -14],\n [-25, -23, 21, 4, -3, -18, 18, -9, -20, -14, -5],\n [-15, -24, -6, 22, -6, 5, 10, -2, -4, -17, 23],\n [-9, 8, -15, -20, 25, 23, -3, 22, 23, 21, 19],\n [23, 14, 0, -17, -18, 23, 20, 0, -14, 7, 19],\n [-19, -10, 0, -1, 9, 17, 3, 24, 16, 2, -10],\n [-7, 14, -20, 1, -23, 8, -9, 6, -2, 9, 9],\n [6, -11, 11, -1, -5, -12, -3, -19, -21, -12, -7]]\nB =\n[[17, -19, -18, -22, -20, 11, -16, 24, 23, -12, -13],\n [12, 22, 16, -19, -5, 7, -15, -20, 10, -15, 8],\n [4, -17, -19, 20, 11, -8, 23, 3, -5, -12, -10],\n [0, 5, 25, -15, 6, 0, 7, 11, -15, -6, -13],\n [8, 7, 17, -22, -18, 24, -15, -24, -4, -22, 16],\n [-1, 18, 24, -11, -14, 7, 6, -20, 17, -25, 12],\n [14, 12, -6, 18, 24, -21, 11, 14, 25, -24, -12],\n [-9, 24, -8, -9, 14, 5, 16, 5, 10, -7, 6],\n [-9, -2, 19, 14, -22, -21, 21, 15, -25, 0, 16],\n [-23, -3, -13, -4, 5, -18, 4, 20, -14, -4, 17],\n [-11, 4, -2, 23, -1, -24, -25, -6, 19, 18, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "439", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-18, -7, 5, -11, 16, -24, -24, 24, 3, 7],\n [-16, 22, 20, -5, -5, 17, -13, 25, -10, -7],\n [-2, -3, -22, 5, -18, 16, -1, -3, -15, 2],\n [19, -3, 19, 19, 17, 22, 21, 10, 8, 22],\n [-15, 23, -18, 8, -18, -9, -4, -18, -25, -12],\n [-21, 1, 22, 23, -3, -14, 4, -18, 14, -24],\n [-21, -13, -9, 9, -11, -14, 9, 16, 22, 25],\n [-23, -16, -24, -11, -19, -6, -18, 21, 0, -18],\n [4, 19, -6, 5, 3, 4, 5, -22, 3, 18],\n [4, -4, 6, -14, 4, -21, -24, -20, 17, 17],\n [9, -16, -10, 22, -4, 25, -12, 14, -10, 22]]\nB =\n[[13, -25, -10, -6, 6, -24, -4, -21, -24, 23],\n [13, 18, 15, 6, -15, 0, 25, 5, -11, -14],\n [0, 21, 23, -15, 23, -4, 2, -4, -5, 18],\n [-16, 12, -1, 13, -12, 22, 9, -17, 12, 11],\n [-22, -11, 3, -16, 7, -19, -9, -22, -16, -25],\n [16, -6, -19, -17, 6, 2, 2, -24, -22, -9],\n [-20, -18, 20, -14, -7, 3, 6, 2, -21, 17],\n [23, -14, -21, 7, 5, -1, -19, 13, -1, 3],\n [-15, -5, -3, -20, 12, -3, -16, 9, -21, -8],\n [-5, -11, -14, 14, -19, 2, 9, -19, -8, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11438", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, 8, 13, 11, -12, -11, -10, -3, 8],\n [-6, -7, -16, 24, 8, 14, 12, 25, -18, 25],\n [-5, -25, 19, 23, 16, -8, 23, -3, -10, 21],\n [16, -1, -21, -15, 17, 20, -20, 21, -12, 18],\n [0, 1, -12, 17, 3, -8, -8, -12, -19, 2],\n [-21, 23, 14, 23, -11, 23, 8, -21, -22, -9],\n [-25, -16, 8, 24, 7, 16, 1, -2, 25, 17],\n [2, -7, -24, -25, 19, -1, -23, -19, -1, -11],\n [-22, -24, -20, 9, 8, -5, -4, 15, 3, 23],\n [-12, 20, 16, 23, -19, -21, -11, 22, -12, 11]]\nB =\n[[9, 23, 2, 11, 0, -20, 22, 21, -18, -16],\n [20, -4, -16, -7, 6, -12, -2, -8, 1, -8],\n [-22, 3, 5, -23, -9, -23, -19, 5, 1, 12],\n [-23, -13, -8, -4, 19, -14, 13, 24, -7, 20],\n [4, 18, 5, -9, 2, 15, -22, -21, 9, -19],\n [-10, 0, -6, -22, 6, -17, -23, 25, 6, 19],\n [24, -24, 2, -21, -12, 19, -16, 18, 6, 12],\n [21, 2, -25, -23, 13, -1, 4, 10, 12, 4],\n [-11, 5, 17, -1, -3, 20, 0, 24, -4, -10],\n [-9, 1, -9, -9, -6, -24, 10, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7772", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[17, 24, 19, 25, -14, -9, 15, 2, -15, 12, 19],\n [-15, -11, 0, 3, 0, -3, -15, -22, -16, 16, 14],\n [7, -22, 10, -18, -4, -5, 4, 4, -10, 20, -24],\n [-3, 8, 4, 2, -21, 9, -17, 12, 20, -7, 15],\n [-19, 0, -12, 6, 13, 4, -16, -24, 12, -21, -20],\n [2, -11, 3, 4, 18, 18, 5, 5, 9, 0, -17],\n [22, -19, -13, -6, 25, 2, 21, 4, 25, 15, 1],\n [23, 4, 15, -2, 4, -25, -2, -6, -18, -9, 5],\n [-22, 8, 7, 3, -7, -12, -1, -25, -4, 20, -22],\n [9, 24, 13, 7, -10, 19, 9, -14, 10, 25, 20]]\nB =\n[[-19, -22, -14, -19, 20, -11, -20, -9, -9, 18, -22],\n [-19, 10, -19, 12, 10, 16, 7, -3, 2, 2, 7],\n [-4, 13, -4, -22, -2, -10, 24, 20, -13, -11, 7],\n [4, -3, 16, 24, -21, 13, 8, 15, -21, 24, 18],\n [-22, -10, -15, 25, 1, -3, 7, -3, -13, -21, 6],\n [14, -16, -11, -11, -3, 19, 8, -22, -13, 3, -17],\n [-21, -14, 8, -18, -6, -10, -2, -6, -18, 3, -7],\n [16, -1, 11, -23, -7, 8, -19, -17, -18, -7, 11],\n [-18, 21, -2, -24, 3, -14, 23, 22, -21, -25, -13],\n [13, -18, -7, 20, 2, -16, 23, 24, 8, -16, -8],\n [-16, -5, -24, -17, 22, 12, -19, -23, 0, -19, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4037", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 11, 9, 20, 1, 12, 9, -19, 12, -6],\n [-3, 24, 3, -4, -5, 16, -21, 14, 21, 22],\n [17, -16, 7, -25, 23, 10, -10, -7, -21, -3],\n [-23, 20, 24, -8, -23, 16, 25, -23, -12, -18],\n [6, 4, -7, -20, -17, 22, 4, -20, 22, 5],\n [16, -5, 14, -11, 17, -5, 17, -12, 12, -14],\n [-11, 11, -15, 4, 9, 9, 16, 16, 11, 2],\n [15, -16, -15, -24, -24, 20, -9, 14, 23, -13],\n [12, -24, 0, 1, 24, 13, 11, 7, -8, 3],\n [-22, 22, 4, 12, -9, 22, 14, -13, -6, 10]]\nB =\n[[-21, 1, -3, -15, 9, -8, 18, -23, 5, 17],\n [-11, 9, 13, -20, 3, 1, 2, -23, -3, 0],\n [1, -20, 7, -12, -23, -7, 14, -7, 1, 24],\n [11, 25, 16, 22, 25, 14, 15, -24, 19, -12],\n [23, 2, -16, 12, 2, -13, 2, 19, -9, -21],\n [21, -21, -7, 8, 15, 17, 13, 5, -1, 25],\n [-25, 24, -4, 12, 22, 3, -24, 15, 16, 4],\n [-9, 10, -12, -9, 2, -20, -17, -15, -18, 21],\n [-3, -20, -5, -9, 13, -15, 13, -21, 5, -10],\n [-14, 4, -1, -14, -23, -9, -22, -20, 24, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5586", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 3) of the product of the following matrices:\nA =\n[[-11, 6, -5, -24, 20, 22, -23, -1, 1, 1, -3],\n [-17, 10, -15, 13, -19, -13, -19, 16, 21, 17, -13],\n [-20, -22, 17, -1, -6, -17, -1, 11, -17, 15, 18],\n [-7, -14, 9, -22, -7, 24, 18, 20, -20, 5, 21],\n [25, 6, -17, 22, 0, -20, 11, 17, 8, 14, 25],\n [-5, 16, 1, -7, 1, -23, -1, 8, 25, -5, -15],\n [1, 2, -22, 18, 15, 22, 0, -5, 13, -22, 11],\n [23, 17, -22, 24, -3, -17, 14, -2, 3, -19, -8],\n [-24, 2, 17, 15, 3, 19, -9, 5, -9, 5, -3],\n [-16, -20, 12, 21, 1, -15, -6, 20, -21, 6, -21],\n [-4, -25, -6, 25, -11, -15, 6, 2, 2, -9, 8]]\nB =\n[[-2, -24, 1, -17, -7, 10, 3, -15, 6, 1],\n [13, -2, 1, 1, 14, 6, 19, 18, -4, 23],\n [16, 6, 22, 20, 9, -25, 8, -25, 16, 9],\n [3, -8, -20, -20, 1, 13, -7, 12, -23, 25],\n [12, -6, -24, -19, -21, -1, 16, -13, -14, -21],\n [-14, -8, -23, -22, 17, -7, -5, -1, -23, -19],\n [-17, -22, -3, -15, -7, -25, -22, -17, 16, -19],\n [0, -5, 22, -16, -16, -25, 10, -23, 9, 19],\n [-14, 1, -9, -7, -16, 17, 0, -18, 13, -24],\n [-14, 13, 14, 5, 3, -18, -11, 0, 22, 10],\n [15, -22, 24, 7, -14, 24, -15, 4, 19, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1032", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[24, 4, 10, 7, 19, 5, -24, -11, -24, -14, -8],\n [-18, -23, 9, 7, 5, -22, -3, 11, 19, 19, 9],\n [14, 12, -25, -23, -16, 4, 2, -10, -22, 22, 19],\n [-22, -3, 14, -3, 24, -11, -13, -25, 11, -2, 18],\n [-25, 19, 24, 19, -13, 12, -9, 25, 4, -6, 16],\n [-21, 15, -21, 20, 11, -10, -5, 8, 20, 24, -20],\n [16, -20, -16, 5, -20, -23, 18, -1, -6, 9, -25],\n [5, -12, -23, -10, -12, -23, -20, -17, 7, 15, -14],\n [-24, 17, 20, -23, -13, 5, -17, 14, 15, -18, -4],\n [0, -10, 6, 9, 10, -25, -19, 24, 23, 14, 16]]\nB =\n[[22, -15, -15, -13, 15, -22, -1, -23, -16, -21, -14],\n [8, -14, 12, -11, -5, -22, -15, -16, -19, -17, -8],\n [21, 1, 17, 2, 6, -16, 8, -21, -6, 4, 7],\n [-7, -24, -8, -12, -21, -8, 19, 25, -11, -3, 24],\n [-22, 8, -2, -14, 3, -20, -2, 21, -4, -9, 6],\n [-1, 0, 1, -19, 9, 8, 1, -18, 9, -8, -3],\n [4, -10, 5, 12, 24, 8, -25, -17, 10, 18, -22],\n [19, -6, 19, -9, 18, -16, 20, 17, 14, -13, 12],\n [18, -10, 13, 7, 1, 11, 22, -10, -11, -10, -20],\n [3, 14, -9, 14, -19, 8, 19, 10, 0, 0, -15],\n [-1, 10, 16, 22, -24, 15, 2, -25, -20, 14, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10074", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-25, 23, -11, -25, -7, -1, -12, -4, -3, -19, 8],\n [-15, -10, 21, 12, -17, -22, 19, 14, 9, -3, -2],\n [-22, 4, 14, 6, 12, 8, 8, 5, 5, 6, 10],\n [-4, -7, 19, 9, 12, 16, -11, 12, -18, 6, 10],\n [11, 4, 25, 22, -3, 17, -19, -4, 10, 13, 2],\n [-14, -23, 19, 12, 18, 10, -5, -4, -3, -19, -19],\n [-5, 18, -12, 16, -19, -21, 11, -7, -1, -14, -17],\n [-25, 17, 3, 17, -7, -11, 10, -8, -4, -4, 4],\n [-19, 22, -20, -13, -12, -24, 16, -10, 13, 20, 7],\n [-25, 4, -15, -12, 11, 11, 9, -12, 22, -4, 5]]\nB =\n[[-8, -16, -2, -2, 6, 11, 8, -16, 20, -12],\n [-3, 6, 21, -14, 15, -2, 8, 21, -6, 3],\n [-10, 14, 24, 16, -17, 18, 24, -23, -16, 14],\n [-25, -19, 5, 15, -13, -4, -10, -4, -20, 20],\n [-25, -24, 1, -14, -20, -24, 11, -16, -9, -9],\n [-20, -25, -6, -8, -17, 6, -9, -7, 23, -13],\n [-25, 19, 12, 18, 12, 10, -16, 9, 0, 22],\n [7, 14, -18, -6, -24, 13, 14, 2, 3, -1],\n [0, -18, 4, -25, 2, 4, -13, 15, 23, -5],\n [-5, 14, -15, 1, -21, -13, -14, 14, 7, 4],\n [-23, 22, -3, 5, -20, -15, 11, 13, 21, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8301", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, 13, 25, -20, -8, -25, -8, -15, 16, -20],\n [-21, -2, -24, 22, 9, 8, 16, -24, -14, -24],\n [21, 24, 9, 3, 7, -21, 17, 17, 7, 13],\n [-13, 5, 10, -7, -1, 17, 9, 11, 13, 7],\n [17, -23, 25, 21, 16, -2, -23, -19, -13, -2],\n [12, 4, -21, -3, 15, 18, 1, -8, 14, -6],\n [-20, 4, 24, -20, 24, -9, 17, 10, -11, -9],\n [-1, 18, 4, 17, 14, -9, -21, 18, 22, 22],\n [23, 16, 16, 9, -15, 2, 18, -6, -24, 15],\n [7, 10, -16, 19, -7, -1, 1, 9, -3, 17]]\nB =\n[[8, -18, -24, -1, -17, -1, 19, 3, -4, -12, 22],\n [17, 22, -15, 24, 25, 25, -13, 7, -23, 21, 10],\n [25, 22, 16, 6, 10, 17, 10, 9, -21, -14, -7],\n [14, 1, 9, -16, 25, 2, 7, 21, 21, 17, 10],\n [9, 23, -9, -15, 10, 11, -8, 5, 9, 2, -25],\n [5, 1, 14, -14, -14, 1, 1, 25, 20, -9, -1],\n [4, -16, 14, -11, -7, -22, -11, 11, -11, 7, 25],\n [-13, -9, -7, -13, -20, 14, 4, 10, 5, -13, -2],\n [3, 23, 20, -24, -10, -14, 2, 0, 6, 16, -22],\n [-21, -9, -6, 14, 3, -1, -8, -4, -18, 14, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14011", "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, -9, 20, 22, -6, 1, -24, 3, -20],\n [-6, 11, -7, -15, 22, -8, 13, -4, 25, -12],\n [16, -20, -5, -18, -8, -4, -20, 9, 9, 20],\n [19, -17, -10, -15, 22, -5, 16, -3, 19, -6],\n [-9, 5, -8, 3, 22, 6, -18, 24, -17, 20],\n [-20, -21, 19, -13, -1, 5, 8, -9, 0, -6],\n [24, -20, 6, 7, -6, 21, -15, 21, -16, 17],\n [13, -7, 1, 14, 8, 10, -6, 20, -21, -16],\n [6, 14, 14, 2, 3, 22, -4, -17, -24, -13],\n [9, 1, 4, 3, 9, 11, 25, 0, -22, 9],\n [-16, -6, 23, -16, 4, -15, -10, -19, -3, 14]]\nB =\n[[-25, 19, -19, 15, -22, -24, -9, 14, -17, -15, 18],\n [-7, -12, -11, 21, -18, 7, -24, -24, -6, -3, -8],\n [4, -5, 10, -23, -9, -2, 12, -22, -17, 7, 8],\n [19, 6, -18, 22, 24, -11, 5, -21, 16, 16, 3],\n [-12, -13, 22, 0, -6, 5, 25, 10, 1, 11, 7],\n [3, 1, -22, -15, -1, -21, 25, -24, 14, -13, 1],\n [13, -9, 5, -15, -17, -15, -19, 11, -20, 4, 3],\n [5, -3, -13, 11, -14, 19, -8, -14, -23, 22, 10],\n [-9, -16, -13, -3, 4, 2, -3, -21, 23, 4, -17],\n [8, 22, 0, -9, 8, -22, -12, -24, 22, -20, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57219", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -12, -13, -15, 14, -1, 4, -2, 8, -3],\n [-7, -25, -11, 15, 20, -10, 8, 17, -25, -4],\n [-24, 23, -13, 9, -5, 15, -18, 3, 20, -17],\n [-22, -23, 25, 17, -22, 1, 11, 20, 4, -11],\n [-10, 2, -14, -1, 2, 20, -22, 9, 13, -21],\n [24, 3, -9, 5, -14, 10, 5, -15, 20, 13],\n [4, 6, -18, -16, -15, 1, -20, 15, -20, 13],\n [4, -8, 13, 13, -12, -11, 24, 10, -3, 10],\n [-1, -17, 11, -2, -7, 10, 8, -15, 22, 9],\n [2, 15, 5, 10, 7, -11, -24, 13, 24, 1]]\nB =\n[[21, -10, -23, 1, 6, 9, -2, -19, 23, 14, -7],\n [-21, 13, 25, -18, -1, -4, -24, 14, 20, -16, -8],\n [-1, 24, -10, -11, -19, -14, 6, -23, -25, 17, -3],\n [9, -25, 18, 18, -6, -10, 11, 19, 9, 11, -25],\n [21, 8, -5, 0, -12, -8, -2, 9, -25, 21, 17],\n [-10, 20, 13, 12, -5, -2, 0, 21, 20, 13, -8],\n [15, -2, 18, 2, -6, 13, -9, -5, 24, -8, 24],\n [-24, 11, 10, -9, 17, -20, 9, 14, 8, -4, 11],\n [6, -16, -20, -13, -20, 10, 7, -24, -10, 14, -1],\n [-6, 1, 20, -11, 14, -16, 12, 1, -9, -4, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-947", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, 23, 17, 2, -18, -18, 3, 15, -25, 19],\n [-17, -18, -22, -5, -21, 15, 23, 15, 15, 12],\n [-3, -3, -24, -23, -15, 2, -23, -17, 6, 19],\n [20, -16, 23, -14, 18, -6, 15, -14, -17, -1],\n [-15, -17, 19, 19, -13, -13, -19, -14, 15, -3],\n [1, 2, 5, 8, -14, -22, -6, 10, -23, 3],\n [23, -20, -21, 17, 9, -14, 12, 21, -6, -1],\n [6, -23, 20, -25, -25, -24, -13, -8, 16, 16],\n [19, -5, -24, -2, -20, -23, 24, -12, 5, 4],\n [-17, -25, 12, 21, 3, -1, 13, -6, -14, 8],\n [-4, 18, -12, 2, -19, -20, 10, 6, 19, 0]]\nB =\n[[-20, 8, 17, 22, 24, 3, -20, -25, -18, -18],\n [0, -4, 19, -10, -16, -9, 19, -18, 24, -6],\n [23, -25, 18, 5, -4, 17, -1, 25, -14, 3],\n [-24, -12, 24, -2, -1, 21, -2, -14, -23, -11],\n [19, -16, -16, 14, 16, 1, -20, 12, 4, -17],\n [14, 7, -3, -5, 25, -25, 14, 21, -14, 9],\n [20, -3, 8, 8, 1, 6, 25, -7, -8, -18],\n [23, 9, 22, 23, 10, 23, 23, 2, 10, 12],\n [18, 13, 14, 24, -21, 12, 23, -13, -11, -22],\n [12, 5, 4, -24, -19, -17, 3, 4, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[23, 10, -23, 4, 11, -10, 25, -24, 15, -15, 21],\n [2, 3, 1, 19, -20, 12, -8, 14, -21, -16, -4],\n [15, -2, -19, 7, -14, -9, 10, 8, -6, 24, -11],\n [-17, -10, -18, -3, 18, -19, 2, 5, 14, -16, -11],\n [-19, 16, -4, -4, 13, -5, -5, 0, 16, -16, -1],\n [-20, -11, -2, -10, 11, -22, -8, 15, 11, -15, -13],\n [-20, 7, 10, -5, 21, 5, -8, -9, -17, -11, 3],\n [-22, -2, -15, -2, 18, -14, 5, -22, 14, 18, -6],\n [-20, 19, -21, -12, -11, -9, -11, -1, 17, -12, 2],\n [5, 19, 1, 15, 10, -10, 24, 9, -13, -5, 21]]\nB =\n[[-6, 23, -18, -6, 6, -20, -12, 8, 10, -14],\n [8, -10, 18, 9, 17, -13, 1, 15, 4, 7],\n [10, 6, -12, 22, 14, 19, -6, 1, 7, 6],\n [16, 3, 10, -19, -4, -1, -15, -23, -21, 18],\n [17, 7, 18, -17, 22, -15, -23, -18, 24, 10],\n [-17, 10, 7, -3, -23, 17, 16, 24, -10, 20],\n [-18, 17, -25, 17, -2, 3, -13, 19, -24, 7],\n [-12, -16, -22, 21, -10, 7, 21, -13, -21, -18],\n [17, 21, -18, 5, -5, -16, -5, 19, -15, -2],\n [2, 5, -14, 19, -2, 19, 2, -8, 7, -11],\n [2, 2, 14, 15, -14, -3, 4, -2, -17, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4737", "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, -6, -7, -22, 0, 25, -8, 7, -6, 17],\n [-5, 14, -3, -15, -20, -20, 17, 11, -15, 10, -18],\n [-2, 17, -16, 17, -7, -2, 7, 14, -3, -19, 22],\n [-21, 11, 22, 21, -1, -13, -16, -9, 14, -12, -15],\n [20, -16, 21, 20, 15, 4, 24, 18, -10, 11, -12],\n [4, -22, 13, -23, -5, -4, -22, -3, -22, -20, 12],\n [23, -1, -24, 7, 11, 8, 0, -11, -5, -9, 21],\n [-6, 22, -18, -19, -25, -23, 12, 12, 8, 5, -18],\n [25, -1, 2, -1, -25, -10, -23, 17, 22, 11, 22],\n [-12, -12, 16, 23, 23, 14, -11, -3, -24, 2, 17]]\nB =\n[[13, -15, 1, -4, -12, -9, 13, -24, 4, 3],\n [13, 24, -6, 6, -25, 9, -5, -20, -7, 9],\n [-10, -13, -12, -16, -13, 6, 4, -20, -13, -8],\n [-8, -3, 10, 2, 23, -20, -10, -1, -14, 16],\n [2, 3, 1, -13, -10, -4, -6, 7, -19, 10],\n [18, -17, -15, -1, 7, 16, 21, -6, 8, -1],\n [24, 18, -11, 1, 24, 7, 5, -11, -13, 15],\n [-10, 4, -9, -8, -5, 6, -14, -25, -13, -18],\n [18, 23, 15, -12, -10, 24, -7, -16, 5, 10],\n [-23, -24, 11, -8, -12, -24, -2, -24, -2, -12],\n [-25, 20, -15, -11, -18, 3, 4, 16, -1, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52293", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[24, -25, 1, -2, -2, 14, -23, -25, -19, -4, -15],\n [-22, -8, -15, 7, 17, 15, -24, -3, -1, -17, -6],\n [20, 21, -17, -11, 16, 8, -11, 7, 18, -4, 10],\n [-13, 16, -12, 16, 17, -11, 7, -23, -19, 20, 23],\n [14, 15, -21, 0, 11, -24, 24, -25, -22, 2, 16],\n [-16, -11, -8, 20, 13, -14, -18, 16, -25, 9, -20],\n [20, -10, -5, -13, -20, 13, 3, -24, 23, -22, -6],\n [23, -18, -24, -22, 15, 13, -8, 20, 7, -16, 13],\n [-8, -7, 5, 19, -11, 13, 8, -6, 6, 2, 0],\n [13, 12, -8, 20, -15, 17, -16, -24, 9, 16, 7],\n [22, -12, -17, -19, -3, -19, -25, -6, 20, 14, 9]]\nB =\n[[12, 21, 21, -18, 5, -7, -21, 19, 8, 18],\n [-10, -19, 15, -5, 18, -1, 21, 19, -24, -18],\n [-7, 16, 11, -7, -25, 2, 14, -12, -3, -18],\n [9, 5, -3, 20, -19, -24, -7, 2, 12, 10],\n [7, -8, 12, -16, 0, -11, 6, -9, -25, -11],\n [0, 8, -22, 1, 14, -19, 10, 19, 3, 22],\n [-5, -11, -19, 21, 16, 2, -17, 4, 25, 6],\n [18, -13, 20, 7, -24, -6, 19, -4, 9, 0],\n [-23, 15, 25, -5, 3, 25, -25, -5, 21, -21],\n [17, -23, 0, 18, 2, 10, 9, 19, -5, -3],\n [-24, 21, -21, -23, -17, 15, -4, -6, 15, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1640", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 2) of the result:\nA =\n[[-22, 8, 6, -11, -11, -9, 16, 4, 10, -13, -20],\n [5, -6, -10, -6, -24, -10, 9, -7, 13, 10, 6],\n [21, 9, -22, 7, -20, 6, -23, -5, 14, 0, 21],\n [-19, 13, 20, 6, 11, -11, -22, -9, 12, 19, -8],\n [-9, 16, -12, -25, 7, -9, 6, 14, 23, 16, 5],\n [12, 13, 1, 22, -9, 4, 13, -20, -15, -20, 4],\n [-8, 15, -22, 6, -17, -23, 1, -23, 20, 1, 10],\n [-13, 22, -18, -12, 0, 11, 3, -23, -2, -11, 11],\n [-12, 14, 5, -15, 0, -25, -1, -5, 25, 8, -23],\n [23, -19, -15, 5, 0, -3, -10, 24, -7, -6, -16]]\nB =\n[[18, 20, -4, -3, -18, 13, -13, -13, -19, 3, 19],\n [-17, 0, -20, 7, 3, -7, 6, -5, -9, 8, -7],\n [-15, 10, -3, -3, 8, 9, -9, -13, 6, -9, -20],\n [17, 16, 22, 17, 10, -1, 25, -23, 21, -11, 20],\n [-8, -16, -21, 12, -5, 18, -25, 18, -1, 17, 3],\n [16, 8, 21, -7, 25, 18, -7, 10, -14, 6, -4],\n [-25, -25, 11, -2, -13, 23, 23, 2, 7, 0, -9],\n [-1, 6, -24, 17, 4, 24, -12, -13, 11, -15, 19],\n [22, -17, 10, -4, -22, 5, 17, 12, 25, 15, -25],\n [-7, -17, -14, 13, 17, 8, -15, 11, 22, 21, -9],\n [-9, -10, 18, -3, 17, 14, 14, -14, -3, 25, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-816", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[24, 6, -25, -11, 22, -2, 23, 0, 14, -2],\n [-16, -20, -24, 8, -8, -2, -14, -2, -18, -25],\n [19, -1, -16, 10, 15, -19, 25, 3, 0, 16],\n [9, 6, 24, 14, 6, 7, -8, 13, -4, -11],\n [15, -3, 15, 11, -13, -4, 19, -4, 3, -23],\n [-7, 18, 23, 10, 25, 13, -20, -12, 2, 5],\n [19, 0, 25, -20, 16, -23, -17, -23, -9, 1],\n [25, -12, 11, 14, 21, 23, -22, 16, 22, -18],\n [-15, -4, 25, 7, 16, 18, 6, -2, -24, 5],\n [-19, 25, -5, 12, -14, -23, 22, -10, -4, -15]]\nB =\n[[13, -12, 16, -13, -10, 2, -19, -8, -11, -8],\n [21, -15, -15, 25, 13, -9, 14, -20, 20, -21],\n [7, -5, -17, 7, -21, -6, -3, 11, 8, -10],\n [20, 1, -22, -11, -6, 25, 17, -21, 14, -10],\n [8, 21, -12, 1, -24, 3, -21, 2, -24, 8],\n [-23, 15, -4, 23, 22, 0, 25, -21, -22, 11],\n [7, -9, 24, 25, -18, 22, -13, 0, 25, 9],\n [21, 18, 21, 15, 15, 1, 20, 8, 22, 4],\n [1, 17, -1, 3, -2, -9, 18, -24, 14, -10],\n [-23, -3, -19, -2, -18, -5, -9, 1, 17, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3243", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 13, 5, 16, 4, 16, 10, 23, 15, -4, -11],\n [-3, 8, 17, 9, -6, 25, 16, 3, 2, -17, 6],\n [-18, 22, -13, 8, 21, -1, -15, -2, -22, 9, 10],\n [-24, 4, 14, -20, 16, 23, -19, -13, 17, -6, -21],\n [-2, 16, 8, -3, -17, 0, 0, -8, 10, -9, -21],\n [-20, 8, 5, 11, -6, -14, -15, 4, 24, 14, -12],\n [20, -5, -3, 10, -21, 20, 20, -23, 6, 2, -22],\n [13, 0, 5, -16, -14, -9, 20, -18, -15, -18, 4],\n [-7, -8, -18, -10, 0, -5, 22, 16, 25, -19, 17],\n [-24, -5, -22, 0, -5, -15, 23, -14, 16, -14, 2],\n [14, 21, 24, 19, -12, 15, -6, 3, 14, -16, 25]]\nB =\n[[1, 7, 14, 10, -9, 17, 17, 0, 21, 20, -18],\n [-20, 14, 24, 6, -20, 2, -8, 12, -20, -16, -13],\n [13, -12, 7, 6, -9, -9, 11, -25, 25, -25, -2],\n [-6, 15, 14, 13, -15, -1, 0, 9, 2, -8, -16],\n [22, 0, -8, 8, -5, 15, 15, 10, 2, 18, -9],\n [-17, 17, -3, -1, 17, 0, -4, 23, -8, 23, -25],\n [13, -12, 3, 25, -11, 22, 21, -11, 20, -9, -9],\n [13, 1, 5, 11, 19, -10, -25, -11, -20, 6, 11],\n [-10, -20, 18, -15, -15, -1, -15, -7, -25, -16, -20],\n [5, -10, 12, -21, 19, 16, -15, -21, -14, -12, -16],\n [-23, -6, -12, 0, 25, -1, -7, 21, -10, 16, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12671", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-20, 7, -16, 1, -4, -9, 3, -24, -2, -2],\n [8, 2, -11, 25, -6, -1, -19, 0, 15, -19],\n [22, 10, 14, 16, 19, -4, -14, 3, -4, 24],\n [9, 0, -17, -18, 14, -25, 2, -6, 20, 1],\n [-11, -24, -12, 19, 22, 15, -15, -24, -20, 1],\n [-18, -20, 14, 20, -8, 2, -4, -19, 24, -10],\n [16, 14, 17, -17, 9, -22, 21, -13, -15, 12],\n [20, -11, 19, 9, 0, 22, 14, -21, -21, -7],\n [9, -14, 25, 8, 12, -2, 18, -11, 16, -2],\n [6, 12, 18, -12, 5, 12, -21, 10, 24, 4],\n [-12, 8, -25, 16, -25, 16, 11, 1, -15, 13]]\nB =\n[[-14, -19, -5, 15, 11, 7, 4, 5, -12, 5],\n [25, 9, 4, -21, -25, -2, -1, 5, -16, -9],\n [8, 2, -3, 23, -7, 2, 13, -6, -13, 20],\n [-14, 19, -11, -22, 7, 10, 2, 18, -5, -20],\n [-23, 2, 12, 22, -14, 5, 19, 15, -3, -22],\n [11, -4, 17, -21, -14, 11, -12, 4, -3, 8],\n [11, -4, 21, -23, -6, 2, 20, -8, -19, 8],\n [20, 17, -14, 8, 20, -5, 11, 12, 8, 20],\n [-11, 4, -17, -8, -9, -6, -24, 10, 22, -24],\n [6, 19, -1, 20, -6, -25, -2, -2, 6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57972", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[16, -16, 4, -18, 7, -8, 4, -10, -6, 9, 20],\n [9, -17, -17, 5, 17, 13, 6, 20, -12, 17, 10],\n [-19, 6, 1, -18, -10, -5, -18, 20, 20, -13, -24],\n [-22, -22, 16, 5, 10, -9, -20, 17, -23, -24, -13],\n [-2, -3, -3, 13, 8, 3, 7, 24, 0, -9, -14],\n [12, -2, -20, -3, 25, -16, -24, 14, 11, -3, -22],\n [10, 6, 21, -13, 11, -11, -5, 13, -12, 18, -20],\n [-3, 13, 8, 19, -7, 5, 5, -7, -11, 6, -4],\n [23, 20, -1, -21, -4, 7, 25, -12, 15, -8, 4],\n [9, -4, 6, -7, 19, 1, 7, -21, -16, 17, -19],\n [-15, -10, 23, 5, 24, -8, 2, 16, 1, -22, -9]]\nB =\n[[-24, 4, 24, -15, 7, 5, 22, -5, 11, 2, -20],\n [19, 17, -5, 20, 0, -19, 15, -17, 0, 23, 12],\n [-19, 16, 2, 11, -24, -18, -25, -3, 19, 18, 10],\n [16, -20, -11, -11, 1, -7, -24, -18, 12, -15, -4],\n [14, -5, 13, -7, -12, 24, -18, -20, 20, 6, -3],\n [-21, 13, -22, -15, -24, -12, -18, -19, 25, -9, 19],\n [11, -4, 9, -15, 0, 20, 18, 15, -12, -16, 0],\n [-1, -4, 11, -11, 24, 22, -20, -7, 2, 1, 16],\n [9, 22, -9, -1, -22, -17, 10, -5, 11, 10, -22],\n [22, 18, -20, 25, 12, -12, -17, 9, -15, -5, 13],\n [-15, -8, 25, -8, -3, -1, 2, 21, -7, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62713", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-19, 16, 25, -15, -21, 2, -20, -5, 14, 15],\n [6, -14, 12, -15, 8, 8, -6, 9, 13, 2],\n [18, 10, -7, 24, -22, -11, 11, 10, 0, -17],\n [22, 23, 15, -12, 21, -2, 19, -23, -17, 8],\n [25, -3, 24, -1, -8, 4, -9, -17, -22, -15],\n [3, 5, 12, -5, 21, -22, 10, 25, -22, 10],\n [-1, 21, 2, 10, -4, 21, 20, -11, -5, -15],\n [-5, 15, -14, 24, -12, -23, -6, 12, 9, -2],\n [-1, -24, -15, -14, -10, -3, 19, -10, 25, 8],\n [4, -17, -3, -22, 17, 2, 16, -19, -1, 11]]\nB =\n[[22, -19, 23, -5, 17, 14, 8, 14, 22, 11],\n [-18, -24, -5, -6, -13, -14, -23, -23, -24, 20],\n [-12, -23, 2, -18, 4, -15, -11, -9, 21, -16],\n [13, 4, 22, -10, -8, 4, -25, 21, 13, 14],\n [19, -25, 10, 9, -1, 18, 23, -7, 24, 7],\n [-20, 12, -1, 4, 1, 21, -8, -15, -1, -4],\n [3, -1, -3, -16, 5, 13, 20, -2, -1, 22],\n [-20, 19, 0, -3, -8, 7, -15, -22, 16, 4],\n [2, -23, 21, -6, 2, 11, 22, -16, 22, 21],\n [-6, 10, -13, -8, 23, -2, 4, -10, -15, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1835", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -24, 25, -11, 7, 1, -4, 4, -6, -2, 25],\n [23, -25, 12, 13, 20, -2, -25, -11, -10, -21, -21],\n [-4, 25, -15, 7, -11, -7, 14, 16, 21, 1, -7],\n [15, -18, 1, 1, 11, 19, -15, -15, 20, -25, 24],\n [19, 25, -22, -25, 22, 10, -19, 16, 8, 12, -17],\n [-19, 13, -7, 13, -10, -8, -19, -1, 5, 22, -3],\n [23, -3, 7, 18, 8, -17, -7, 7, 6, -14, -12],\n [-13, -16, 7, 2, -5, -5, 3, 15, 6, -11, 22],\n [-4, -1, 18, -8, 10, -11, -10, -13, 25, 0, 18],\n [-16, -23, 19, 18, -16, 0, 21, -9, -21, 10, 19]]\nB =\n[[20, -10, -4, -23, -19, -5, 22, -1, 11, -15, -19],\n [-4, -14, -16, 20, -7, 16, -10, -22, -20, -20, 25],\n [-8, 9, 14, 23, 1, -23, -20, 3, 19, 2, 2],\n [0, -6, -10, -2, -13, 6, 17, -18, 10, -15, -13],\n [20, 25, 3, 3, 8, -7, -10, 16, 5, 17, 23],\n [1, 25, 23, -12, 3, -3, 21, 2, 12, -16, 0],\n [-3, 13, -8, -22, 22, -15, 17, 14, 14, -13, -1],\n [-19, 4, 17, -20, 15, 6, 11, -5, 3, 25, -1],\n [24, -16, -7, -22, 3, -9, 8, -21, -20, 12, 9],\n [-22, 21, 1, 15, -25, -10, -1, 14, -22, 10, -15],\n [-8, 24, -3, 18, -21, 13, 21, -9, 22, 15, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66448", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-22, 17, 4, 20, -11, -18, -20, -22, 0, -1, -5],\n [3, -16, -6, 16, -6, -1, -19, -21, -19, 21, 4],\n [2, -9, 1, -8, -6, -24, 19, -4, -8, -18, -15],\n [-3, 5, -5, 0, 18, 23, -2, 10, 10, -9, 16],\n [22, 21, 8, -12, 1, 23, -1, -18, -18, 20, 11],\n [-6, 16, -8, 7, -24, 13, -20, -19, 21, 16, 20],\n [-23, 9, 15, 5, 14, 13, -12, 10, -6, -8, 2],\n [21, 12, 12, 8, -3, 6, -11, 3, 12, -15, 22],\n [-10, 18, 12, 13, 18, 25, 5, -21, -22, 0, 20],\n [-16, 1, -19, -21, 9, 8, 2, 9, -21, -11, 7],\n [2, 22, 2, -6, 2, -11, -5, 9, 15, -22, 1]]\nB =\n[[19, -16, -12, 21, -13, -24, 24, 17, 15, 15],\n [21, 19, 24, 3, -25, -9, 18, 2, -7, 7],\n [-22, 25, 0, -2, -19, 17, 0, -10, -12, 25],\n [11, -14, 19, -15, -25, 9, 6, 24, 7, -21],\n [7, -24, 7, -2, 14, -13, 7, -19, 9, -7],\n [8, 8, 0, -20, 0, 9, -3, 1, -16, 10],\n [4, 8, 13, 7, -17, -25, 7, -19, -17, -10],\n [4, -8, -2, 25, -12, 20, 3, 11, 12, -7],\n [-20, -21, -15, -19, -16, -8, 14, 7, -11, -15],\n [-8, 3, -23, 4, 25, -13, 0, -7, -15, -21],\n [-1, 3, -4, 19, -1, 6, 9, -9, 0, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8677", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 7, 5, -19, -6, 20, 17, -7, 19, 14],\n [-21, 6, 24, 20, -9, 18, -18, 9, -20, 18],\n [23, -22, 8, -25, 2, 25, 1, 24, -5, -1],\n [-2, 2, -24, -19, -15, 4, 18, -7, -20, 15],\n [-10, -7, 0, -11, 8, -12, 24, -21, 12, -6],\n [12, -14, 11, -19, 8, 6, -17, 11, -17, -7],\n [13, -14, -18, -14, 11, -10, 15, -23, -18, -15],\n [-8, -16, 7, -11, -3, 16, -14, 2, 25, -23],\n [-25, 9, -25, 10, 4, 4, -16, 21, 15, -12],\n [23, -2, -6, -6, 7, -14, 25, -21, -3, -10],\n [15, 20, 1, -17, -12, 3, -12, 5, -19, 15]]\nB =\n[[18, -17, -12, -7, 8, -16, 21, -10, 21, 11, -3],\n [11, 5, -24, -4, 16, -22, 7, -4, 5, -14, 7],\n [-6, 15, -17, 22, -3, 7, -7, 7, -21, 25, -5],\n [6, 15, -7, 20, -4, -8, 10, -1, 10, -10, 0],\n [-13, 6, -23, 24, 10, 11, -7, -12, -5, 6, 24],\n [-2, -10, 11, -18, 3, 25, 24, -21, -12, -2, -16],\n [-21, 19, 18, 24, -15, 7, 3, 8, -24, 19, 15],\n [22, 22, 15, -2, 13, -5, -18, -16, 19, -15, -12],\n [-21, 24, 22, -1, 0, 12, 18, 19, 8, 4, -9],\n [10, 7, 5, -8, -14, -20, -15, 0, 15, -18, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70818", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 23, -21, 4, -22, 11, 21, -20, -4, 0, 3],\n [3, -21, 19, -7, -23, 14, -12, 21, 14, 14, 19],\n [-3, 1, 11, -13, 18, -4, -15, -11, 3, -11, -1],\n [-5, 17, -17, -1, 23, 2, -3, 3, 4, -1, -6],\n [9, -25, 20, 13, -2, 3, -1, -7, -7, 7, 14],\n [-3, 23, 13, 9, 2, 22, 11, 15, -23, 18, 24],\n [-14, -18, 8, -20, 21, -24, -5, -15, 7, -13, 17],\n [-11, -14, -3, -8, 18, -1, 3, 23, -6, -7, 12],\n [10, 22, -12, 8, 16, 17, 4, -16, 22, 18, -18],\n [-24, 17, -4, -2, -20, -21, 4, 4, 6, -23, -14]]\nB =\n[[0, -14, 8, 16, -17, -18, -4, 21, -17, 12, -2],\n [-14, -14, 20, -8, -9, 14, 11, 5, -17, 13, 6],\n [11, -7, 16, 10, -23, -2, 10, 0, -6, -12, 6],\n [-18, 11, 11, -15, -20, 11, 6, 7, 20, -9, 8],\n [9, 12, 24, -4, 18, 12, -24, 6, 24, -3, -13],\n [2, -10, -13, 23, -2, -22, 12, 6, 20, 25, 19],\n [0, 17, -11, -10, -25, 2, -9, -10, 5, 11, -10],\n [20, -22, 17, -2, 1, 9, 25, 8, -5, 19, -13],\n [-17, -19, 18, 3, -3, 22, -8, -2, 22, -21, -2],\n [-5, 18, 3, 7, -16, 15, -5, -8, 4, 10, 7],\n [-13, -21, 24, -20, -6, 11, -14, -14, -13, -21, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1494", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, -9, -5, -22, -4, -19, 10, 1, -12, -11],\n [-7, 23, -8, 7, -17, -10, -6, -3, 12, 23],\n [20, 24, 10, -20, 25, -14, 21, -4, 11, -10],\n [-2, -2, -16, 4, -13, -16, 0, -21, 23, -7],\n [-9, -25, 6, 13, 12, -25, -15, -9, -4, -12],\n [18, -3, -8, -7, 1, -8, -9, 0, 4, 8],\n [-10, -9, -16, 4, 4, 0, -19, -21, -5, -18],\n [3, 6, -2, 18, -23, 7, -22, -15, 2, 11],\n [-18, -24, -20, 6, 10, -7, 17, 15, 11, -8],\n [9, -1, 14, 12, 14, -9, -24, -4, 11, 20],\n [7, -6, 14, -14, 23, 8, 9, 13, -24, 2]]\nB =\n[[-7, -15, 17, 22, -12, 12, -2, -24, 16, -19, 12],\n [-17, 7, 1, -22, 7, -18, 14, -17, -14, 23, 18],\n [-15, -10, -24, 21, 12, 17, 11, 20, 22, -23, 9],\n [21, -17, 23, 10, -19, 0, -14, -10, 5, -2, -25],\n [0, 1, -21, 12, 21, 23, 22, 1, -5, -11, -14],\n [-15, -1, -22, 19, -4, 17, 25, 1, -1, -2, -17],\n [16, -4, 1, -2, -25, -25, -12, 22, 16, 3, -6],\n [7, 19, 13, -6, 23, -9, 4, -13, -4, 12, 12],\n [-17, 2, -3, -3, 6, -9, 14, 12, 17, 2, -5],\n [19, 15, 4, 19, -7, 20, 24, 25, -3, -20, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2002", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-22, 23, -3, -21, 7, -14, 10, 3, -12, -19, 17],\n [22, 16, -6, 21, 11, -12, 8, 15, 15, -3, 13],\n [14, -21, 7, 22, 18, -16, -16, -15, -7, 25, 9],\n [-11, 1, -21, 22, 19, -13, 19, -3, -10, 10, -16],\n [6, 19, -23, 16, 11, -18, -25, -7, -18, -3, -25],\n [4, 18, -22, -5, -5, 11, -6, 2, -1, 7, -11],\n [7, -23, -10, 17, 21, 0, 3, -5, 5, 6, -18],\n [17, -19, -19, 2, 16, -7, 1, -6, 10, 20, 5],\n [-24, -5, 15, 8, 5, 23, -16, -21, 10, 4, 25],\n [-3, 13, -17, -6, 9, -20, 11, 19, 19, -24, -8],\n [-21, -12, -7, 25, 19, -16, 23, 6, -1, 20, 7]]\nB =\n[[-25, 9, 13, 1, -16, 8, -21, -11, 7, -2],\n [25, -3, -25, -12, 2, 12, 19, -15, -17, -5],\n [-19, -19, 1, 3, -15, -21, 17, -14, 1, -25],\n [-18, 7, 11, 16, -24, 7, -22, 9, -4, 13],\n [-21, -18, 9, 25, 8, 15, -6, -8, 13, 1],\n [-7, -17, -6, -19, -10, -12, -17, -19, -5, 19],\n [4, -12, 7, 1, -13, -24, 3, -19, -13, -11],\n [19, -7, -17, 16, 20, -16, -23, -9, -16, -1],\n [17, 25, 24, -25, -6, -3, 25, -10, 16, 9],\n [20, -12, -14, -22, 10, 10, -5, -25, -3, -10],\n [-12, 15, -13, -24, -13, -19, -12, -7, -20, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17587", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -14, -2, -4, 20, 16, -5, 22, 21, 4, -22],\n [3, 14, 12, -15, 14, 18, -10, -1, -22, -16, 8],\n [-10, -22, -8, 19, -7, 6, -13, -7, -17, 6, -2],\n [10, 0, -22, 4, 7, 7, 5, -11, -14, -15, 15],\n [19, 23, 24, -3, -13, 8, 1, 10, -16, 24, 20],\n [22, 25, -4, -3, 8, -17, -24, -6, -18, 2, -6],\n [23, 18, -19, -17, 6, 6, 19, 3, 1, 22, 1],\n [-11, 6, -24, -11, 18, 18, -15, -17, -23, 6, 8],\n [-22, 3, 22, 21, -11, -15, 16, 11, 23, 21, -16],\n [-11, -15, 23, 18, -16, -10, -3, -15, -21, -12, 16]]\nB =\n[[-3, 23, -5, 5, -13, -2, -7, 24, 24, -22, -19],\n [-8, 19, 13, -1, -14, -9, -18, -23, 19, 13, 12],\n [5, 9, 24, 10, 22, 6, -9, -16, 19, -3, -23],\n [-13, 8, -3, 23, 2, 23, 5, 0, -18, -5, -15],\n [-23, 24, -19, 12, -22, 3, -17, -17, -23, -9, 10],\n [-16, 19, 23, -3, -8, -21, 22, 0, -9, -8, -10],\n [-22, -7, -10, 19, -5, 10, -24, 3, -15, -1, -3],\n [18, -12, -14, -15, -22, -16, -13, 3, -5, 8, -18],\n [8, -18, 3, -6, 13, -9, 13, 16, 2, -20, 11],\n [5, -19, 19, 6, 5, -25, -24, 5, -12, -2, -13],\n [-6, -15, -23, -17, 8, -16, -11, 23, -20, -15, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4846", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[13, 18, 3, 21, 14, 4, -11, -24, -3, -13, 0],\n [18, 11, -5, -5, 16, -21, -19, -2, -11, -22, -3],\n [22, -1, -11, 19, -13, -24, 22, 12, -17, -3, -13],\n [11, -21, -9, -7, -4, 6, 24, -4, -11, 11, -10],\n [7, 9, -9, 3, -15, 13, -9, 14, 2, -3, -7],\n [-24, -1, -3, -4, -21, -7, -12, 2, -18, -8, 9],\n [-23, -10, -20, 23, 11, -1, 21, -25, 5, 7, -14],\n [-4, -22, 3, 6, -4, 17, 16, -18, -10, 18, 9],\n [19, -16, -6, 9, 25, -15, -4, -15, -16, -12, -9],\n [-9, 11, 25, 14, -17, 3, 23, 1, 22, 18, 2],\n [-4, -13, -10, 18, -22, -19, -12, -21, -19, -16, -8]]\nB =\n[[-23, -13, -13, 23, 2, -10, -7, -2, 15, -9],\n [1, -8, -18, 8, -1, 22, -20, 0, 15, -8],\n [-17, 3, 9, 10, 1, 14, -19, 23, 24, 0],\n [21, 24, 21, -18, 11, 25, -8, 18, 25, 3],\n [0, 3, 11, -4, 16, -10, -23, 11, -3, -14],\n [7, 9, 15, -12, 23, 22, -2, 24, 0, -16],\n [18, -21, 25, -3, -8, -15, -18, 7, -20, 19],\n [-11, -23, -13, -9, 0, 23, -15, 18, 9, -20],\n [13, 2, 5, 25, 9, -6, -7, -13, -22, -20],\n [21, 18, 17, -16, 16, 13, -21, 18, 5, 9],\n [5, 16, 16, 4, 12, -11, -14, 12, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-233", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[19, -19, -18, 3, -6, 6, 14, 18, -16, -13, -8],\n [0, 17, 10, -14, 20, -17, -23, -7, 13, 12, 12],\n [-2, 1, 17, -16, -14, 16, -8, 11, 18, 24, 21],\n [25, 13, -25, 10, -3, -21, -14, -10, -21, -10, -23],\n [14, 25, -9, -15, 20, 9, 23, 10, -7, -14, 15],\n [-24, 1, 2, 4, 11, -16, 9, -7, -8, 11, -23],\n [-8, -5, -12, 9, 14, 24, 14, 13, 24, 16, -4],\n [15, 9, -17, -10, -7, -23, 4, -2, -25, 24, -16],\n [5, 14, 14, -4, -3, -4, 17, -25, -21, 0, -9],\n [8, 22, 5, 8, -12, -14, 10, -11, -23, -17, -16],\n [-21, -24, 0, -20, 19, -20, -21, 20, 2, -7, -2]]\nB =\n[[11, 0, -11, 15, -10, 5, 18, 20, 24, 3],\n [25, -4, 13, -7, -20, 24, 9, 17, 23, 10],\n [-11, 11, 17, -9, -18, -13, -10, -21, 25, -2],\n [0, -7, -23, -18, 0, 20, 14, 5, 3, 5],\n [-7, 21, -6, 19, -4, 3, 19, -15, -25, -17],\n [-8, -25, -21, 21, -14, 2, -2, 11, 4, -7],\n [13, 14, 22, -5, -3, 24, -23, -17, -12, 5],\n [-20, -25, -15, 18, -5, -8, -2, -20, 21, 8],\n [-18, -9, 5, 4, 18, 4, -24, 3, -10, -21],\n [-20, -8, -13, 9, -22, -18, 7, -15, -19, -1],\n [-7, -23, 16, 10, -25, 13, 16, 9, -15, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9825", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -19, -12, -5, -20, 10, 7, -19, 5, 24, 1],\n [-3, -25, 15, 0, 10, 9, 24, 21, -23, -6, 16],\n [-5, 4, 12, 16, 4, 0, -20, -3, -19, 3, 18],\n [-6, -15, -20, -6, 24, 1, 4, -10, 22, 7, -11],\n [6, -5, 9, 14, -25, 0, 10, 1, -9, -11, 21],\n [-4, 0, -17, 7, -15, -7, -5, 16, -24, -15, 25],\n [24, -22, -18, 21, -17, 14, 16, 16, -25, -1, -21],\n [22, -12, 8, -17, 8, 22, -9, 9, 12, 9, 12],\n [25, 21, 0, 24, 8, 25, 23, -20, 12, -21, -14],\n [-12, -16, 4, -15, -14, 14, 1, -25, 2, -6, -2],\n [1, -16, 1, 8, 16, -3, -10, 24, -2, 1, 11]]\nB =\n[[-14, 8, 7, 8, 18, -15, 7, 2, -15, 13],\n [5, 4, -4, -18, 21, -23, -7, -4, 12, -23],\n [-4, -13, 23, 7, -11, -21, -15, 8, 4, -23],\n [22, -25, 3, -4, 4, 16, 6, 12, 17, 8],\n [-15, 20, -18, -11, -12, 12, 20, 24, 23, 3],\n [-17, -6, 19, 16, -11, -15, 8, 5, 3, -1],\n [-15, -24, 15, -18, -24, 12, -24, -18, 5, 7],\n [-2, -1, 12, -25, 0, 20, -5, -3, 10, 22],\n [-23, -21, 3, 1, 2, -12, 18, -20, -12, -7],\n [-25, 3, 14, -19, -6, 18, -16, 12, -20, -13],\n [-13, -18, 5, -9, 22, -4, -8, -21, -17, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60300", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-20, -21, 5, 17, 20, -23, -8, 21, -7, -12],\n [-7, -8, -22, 14, 10, 18, 12, 15, -23, 13],\n [-12, -6, -11, 2, -14, 10, 12, -23, 10, -21],\n [13, -12, -9, -18, 12, -13, -18, 15, 25, -13],\n [-9, -1, -15, 22, 8, 19, 16, 3, -14, 14],\n [15, -24, -19, 25, -14, -10, 5, -6, -11, -12],\n [-17, -9, -7, -3, 18, 20, 5, 8, 17, -7],\n [10, 2, -25, -1, -11, 20, 15, -7, 17, -5],\n [8, 11, -8, 22, 18, -20, -15, 11, -2, -21],\n [23, 24, -17, 4, -15, 14, -14, -6, -25, 6],\n [-10, 14, 23, 15, -16, -17, -5, 9, 7, 24]]\nB =\n[[24, 12, 2, 18, 1, -7, 19, 0, -16, -1, -25],\n [25, 22, 2, 4, -22, 9, -22, 17, -21, 21, -22],\n [-7, 2, -3, -24, 2, 16, -15, 21, 4, -4, 15],\n [-9, -2, 12, 10, -4, -13, 0, 15, 11, -7, -1],\n [-7, 5, -9, 0, 13, 18, 22, 19, -18, -14, 23],\n [0, -10, 22, 16, 7, -9, -21, -22, -23, -25, -18],\n [-7, 0, 10, 20, -25, -9, 10, 12, 2, -12, 19],\n [-4, 10, -15, -8, 22, -22, 16, 6, -11, 5, 4],\n [-12, -12, 21, -5, -9, 25, -23, -6, 9, 4, 8],\n [11, -20, 6, -17, 16, 7, -23, 1, 6, 11, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -25, -9, 14, 20, -10, -17, -1, -10, 22, -10],\n [1, -20, 13, -21, 10, 20, -2, 25, 17, 13, 12],\n [16, -2, -8, -21, -22, 9, -4, -21, 9, 20, 19],\n [-20, -13, -22, 7, 25, 11, 19, 8, -17, 16, -11],\n [23, -6, 24, -11, 23, -25, -16, -16, -21, 16, -9],\n [-13, 20, -22, -6, 11, -11, 24, 9, -3, 5, -11],\n [-11, 2, 16, 2, -14, 18, -1, 6, 11, -21, 5],\n [5, 14, 2, -13, 3, 14, 2, 10, -13, 25, 16],\n [10, 25, -7, 25, -9, 15, 22, 16, -12, -11, 23],\n [5, -6, -23, 13, 12, 14, 4, -18, -2, -5, 25],\n [2, -3, -18, -17, 11, -12, 16, -6, 5, -14, -7]]\nB =\n[[10, -2, -18, -4, 2, 14, 2, -6, 9, -3],\n [1, -20, 24, -8, 11, 6, 9, 20, -7, -1],\n [-17, -25, -20, -8, 11, -10, -15, -8, 19, -4],\n [19, -13, 17, 19, -17, 7, -20, 3, 5, 8],\n [18, 20, -8, 18, -7, -10, -6, -12, 25, 23],\n [16, -22, -10, -2, 7, 8, -13, 16, -8, -1],\n [6, 7, 12, 2, 10, 19, 15, -10, 12, -24],\n [-24, -13, -16, 24, -22, 3, -12, 11, 5, 18],\n [2, 13, 3, -16, 1, -25, 13, -23, -14, 0],\n [2, -7, 8, -4, 11, 5, 13, 3, 2, 24],\n [11, -23, -3, -1, 20, -4, 11, 11, 21, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15800", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[17, -4, 23, 18, -3, 8, -7, -5, 20, -18],\n [-17, -1, 23, -14, -8, 11, 1, -7, 12, 25],\n [25, -21, 5, 21, -15, -16, -14, -19, 13, 22],\n [8, 2, -10, -5, 2, 18, -8, 12, 11, 0],\n [23, 18, 14, 6, 13, 16, -16, -25, 2, 23],\n [-25, 10, -3, -12, 15, -18, 10, 21, 25, -19],\n [-16, 3, -9, -5, -14, 1, -25, -13, 3, 24],\n [14, -17, 20, -21, 10, 10, 11, -12, -2, -8],\n [-13, 7, -14, -5, 14, 5, 6, 21, 15, 8],\n [-13, 3, 4, 4, -17, -20, 21, -22, 17, -11],\n [-15, 5, 2, 12, 22, 10, -16, 4, 16, -11]]\nB =\n[[-25, -14, 4, -21, -1, -2, -3, 5, 19, 1, -7],\n [11, -14, -3, 24, -8, -14, -5, -7, -9, 13, -17],\n [-20, -6, -18, -8, -4, -8, -5, -6, -25, 4, -4],\n [-17, 3, -8, 14, 2, -17, -20, -4, 12, -24, 11],\n [-19, 6, 6, -2, 21, -18, 5, 11, -6, -18, -19],\n [3, 8, -4, -20, -14, 16, 20, 2, 0, -17, 23],\n [1, 13, 2, 6, 8, 6, -16, 9, -8, 11, -2],\n [-2, 4, 1, 4, -22, 1, 19, -23, -20, -19, -5],\n [-19, -24, -17, -23, 22, -11, 23, 9, -5, -9, -20],\n [-11, -14, 7, -16, -20, 16, 7, -13, -24, -8, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 2) of the result:\nA =\n[[-9, 8, -18, 3, -20, -11, 5, 19, 4, -6, 0],\n [-6, -2, 14, 22, -10, -22, 8, -23, -23, 12, 23],\n [-25, -14, -7, 9, 24, -21, 17, 25, 13, -16, -16],\n [11, 10, 24, 9, -1, 23, 25, 5, 18, 10, -7],\n [-19, -17, -1, -3, -13, 16, -15, 9, -2, 8, 19],\n [-11, -15, -7, 22, 2, 22, 12, -12, -19, 6, -25],\n [-4, 7, 22, -14, 3, 7, 7, -4, 25, -20, 5],\n [19, -6, -10, 7, -15, 8, 11, 11, 2, -20, 18],\n [-25, 11, -4, 7, -8, 12, 3, 13, -24, -25, -20],\n [22, 1, 16, -11, -12, 6, -15, -21, -7, 1, 20],\n [-25, 21, 15, 7, 5, 3, 13, -25, 19, 1, 15]]\nB =\n[[-19, 17, 5, 3, 17, 12, 19, -23, 17, -24, 24],\n [-17, 25, 13, 4, -12, 22, -6, -12, -4, 1, -11],\n [0, -11, 5, -15, -12, -22, 9, 6, 10, 24, 6],\n [-12, 8, -23, 11, 23, -3, 10, -4, 24, 22, 18],\n [-25, 10, 24, -12, -9, -11, 1, 21, -9, -24, -1],\n [-18, -16, 2, 10, 24, 14, 9, -10, -9, 24, -25],\n [-4, -22, 1, 12, -5, -15, 5, -22, -3, 18, 13],\n [10, -2, -15, 11, -14, 15, -16, 10, 4, -11, -19],\n [6, 14, 21, -19, -20, 18, 4, 18, -11, 8, 22],\n [11, -20, 1, 24, 15, 16, -22, -11, -10, -11, -5],\n [-3, -1, -17, 6, 19, -21, 11, 3, -5, -25, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 9) when matrix A is multiplied by matrix B?\nA =\n[[-20, -7, 14, -12, -20, -17, 6, -18, 15, -4],\n [-18, 18, 8, 23, -17, -16, -4, -13, 16, 25],\n [9, -18, -13, 9, 3, -16, 4, -20, 3, 12],\n [-21, -19, -15, -6, 1, -11, 3, -14, 12, 7],\n [9, 18, 22, 7, -11, 10, 19, 5, 18, 16],\n [-1, -24, -8, 15, 18, 24, 0, -12, -19, 18],\n [0, 14, -11, -15, 4, -24, 13, 0, 21, -13],\n [6, 19, 13, -5, 16, -12, -11, -4, 16, -17],\n [-18, -16, -10, -17, 4, -25, -15, 8, -18, -20],\n [7, -15, -16, 23, 1, -9, 25, -1, -20, -8]]\nB =\n[[17, 16, -23, -9, 21, 16, -11, -10, 12, 18, 14],\n [20, 10, -6, -24, -23, 24, 4, 18, -17, -6, -14],\n [-13, -23, 1, -8, 20, 23, 8, -15, -14, -6, -19],\n [20, -10, -7, -12, 2, 10, 15, -19, 24, 15, -17],\n [8, -2, -9, 5, -11, 2, 18, -11, -9, -2, -13],\n [16, -5, -1, -7, 22, -23, 20, -2, -5, -25, 24],\n [5, -19, 6, 17, 10, -23, -25, -14, -16, -19, -1],\n [1, 1, -20, -6, 23, -4, 24, 0, 19, 15, 6],\n [-3, -25, 10, -5, -12, -7, -1, -17, 15, 3, 20],\n [21, -24, 21, 25, 5, 5, -12, -3, 5, 12, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-18, -14, -25, 14, -12, 2, -25, -4, 19, 2],\n [-13, -18, 25, -19, -23, 1, -7, 20, -5, 24],\n [18, -25, 4, -6, -13, -22, 2, 0, 15, -23],\n [12, 13, -19, -21, -8, -24, -13, -13, 21, 7],\n [20, 7, 21, -10, -18, 18, 15, 22, 22, -14],\n [12, 18, 9, 6, -24, 18, -19, 23, 14, 15],\n [-19, 9, -11, -20, -20, -14, 8, -22, 8, 9],\n [-19, 14, -15, 7, -18, 19, -19, -3, -23, -17],\n [3, 25, -19, -8, -6, 5, -6, -3, -4, 21],\n [-4, 18, 15, -11, -13, -15, -6, 1, 0, 21]]\nB =\n[[-8, 2, -24, -14, -22, -16, 15, 20, -10, 7],\n [18, -24, 21, -3, -12, 2, 17, 7, 22, -2],\n [2, 13, 1, -13, -24, 3, -9, -8, -12, 0],\n [-22, -20, -10, -5, 17, 21, -18, -19, -12, 21],\n [-19, -15, 17, 15, -6, -1, 6, -7, 25, -5],\n [-16, -23, 15, 22, 20, 23, 5, 12, 13, -25],\n [-5, -1, -12, 18, 12, 10, 4, -5, 11, -4],\n [5, 20, -23, 21, -8, 6, -14, -6, -3, 3],\n [-10, 10, 6, -25, 15, 11, 1, -8, -22, 3],\n [-18, -2, -16, 13, 2, -23, 16, 22, -23, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60317", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, 1, 16, -2, 17, -18, -18, 21, -9, 7],\n [-16, 22, 11, -15, 0, 25, 7, 17, 24, -18],\n [3, -12, -6, 8, 14, -15, -18, -25, 1, -11],\n [25, 23, -6, 4, 21, -4, -13, 12, -3, -4],\n [-23, -11, 24, -13, -11, -4, -14, 22, 18, -9],\n [6, 19, 15, 24, -16, 19, 17, -8, 15, -7],\n [17, 24, 1, -18, -8, 20, 4, -1, 25, -25],\n [12, -8, 23, -12, -13, 21, -1, -18, -7, 14],\n [23, 15, 24, 15, -23, 3, -10, -19, 23, -5],\n [20, 17, -12, 13, -2, 22, 4, 7, -4, -16],\n [-15, -11, 24, 22, 4, -12, 6, 0, -5, -21]]\nB =\n[[21, -14, 3, -5, -1, -10, 5, -6, 5, -15, 6],\n [22, -18, -3, -18, -24, 1, 10, 9, -3, 15, 22],\n [-13, 5, 19, 4, -20, -6, 0, 10, -7, -4, -14],\n [-23, -21, -21, 17, -3, -12, 23, 13, -19, 9, 12],\n [-12, -9, -19, -6, 8, 4, 24, 14, -13, 25, -20],\n [25, 1, -8, -2, 6, 13, 0, 8, -5, 2, -21],\n [16, -8, -18, 17, 22, 8, -4, -3, -17, 1, -12],\n [-6, 0, 15, -19, -2, -17, 17, -19, 11, -22, -15],\n [-22, 2, 23, 1, -9, 14, -20, -9, 17, -14, 14],\n [-25, 3, 0, -18, 25, 4, 4, 25, -22, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3477", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-18, 5, -8, 8, 7, 14, -17, -6, 14, 21, 20],\n [-24, 17, 13, -5, -12, 4, 16, 20, 25, 25, -9],\n [7, -15, 16, 22, 11, -18, -22, 13, 16, -15, -5],\n [-22, 21, 17, -13, 5, -22, -10, 25, 14, 23, 16],\n [-4, 4, -10, -22, 24, -1, 13, 16, 19, 22, -3],\n [20, 19, -24, 6, -23, -5, -18, 13, -22, 1, 10],\n [22, 22, -17, -18, -12, 23, 12, -23, 19, -16, 7],\n [-8, 12, 1, 4, -16, 14, 14, -12, 21, -19, -15],\n [5, 0, -4, -20, -6, 17, -11, 24, 3, 5, -16],\n [24, -12, -17, -2, 11, 2, -7, 3, -6, 25, -11]]\nB =\n[[14, 25, 10, 6, -6, -5, 10, 2, 12, -20],\n [-21, -19, 19, 21, 25, -2, 9, 3, 22, -12],\n [9, -22, -8, 22, -4, 14, 4, 16, 17, -11],\n [17, -17, -6, -22, -25, -8, -22, 2, -19, -12],\n [14, 24, 12, -9, 13, 24, -20, 0, 25, 15],\n [-22, 2, -13, 8, 20, -8, -2, 4, 24, -16],\n [-24, 17, 3, -25, -9, -4, 0, -16, -18, -6],\n [-4, 22, -2, -4, -3, 23, 2, -24, 16, 11],\n [-22, 11, -5, 0, -11, 9, 21, -11, -4, -25],\n [0, -16, -6, 22, -25, -14, 15, -2, 0, 17],\n [24, -24, -6, -7, -1, 13, -25, 5, -22, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61060", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -15, -7, -17, 16, 15, -6, -17, -8, 19],\n [10, 16, 6, -22, 4, -15, 16, -7, -8, 19],\n [-21, 17, 12, -7, -6, -24, -7, 11, 17, -15],\n [-13, -6, 16, 16, -24, 24, -17, 19, -19, -22],\n [22, -24, -3, -25, 23, -21, 6, -7, 5, -22],\n [-19, 6, 7, -20, 8, 25, -11, 2, -10, -5],\n [-4, 7, 9, -1, 14, 0, -7, -6, 4, 16],\n [21, 10, -6, 15, 19, -4, 11, 1, 6, 20],\n [-4, -18, -14, -1, -8, -25, 6, 20, -24, 10],\n [20, -4, -10, 22, 2, 22, 10, -10, 9, 7],\n [-1, 13, -14, -10, 10, 7, 22, 15, 25, 10]]\nB =\n[[10, 23, 2, 8, -10, 3, 3, -2, -3, -9, -22],\n [-3, -4, 12, 1, 4, -4, -20, 1, -4, -13, -2],\n [24, 7, 4, -4, -19, -17, 6, 9, -9, -4, 0],\n [6, 3, 11, 10, 20, 16, -16, -3, -21, -15, -14],\n [-6, -16, 0, -14, 16, -1, -18, -6, -16, -1, 22],\n [21, 4, -14, -18, -3, -9, -22, -25, 11, 13, -18],\n [7, 11, 13, 9, -1, 3, 14, 2, 9, 25, 22],\n [-23, -24, -10, 23, 21, 20, 7, -19, -3, 5, 18],\n [-8, -6, -18, 4, -13, 12, 4, -6, -16, 19, 2],\n [-7, -24, 19, 1, 19, 19, -13, -14, 6, -9, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1023", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, -5, 7, -2, -10, -23, -3, -8, -16, 6, 18],\n [-13, -7, 6, 13, -13, 21, -17, -14, -20, -6, 16],\n [-6, 18, -18, -17, -22, -5, -18, 9, -5, 16, 0],\n [24, -20, -21, 0, 1, -8, 11, -5, -10, 7, 14],\n [-24, 2, 20, -22, 24, 17, -6, -4, -7, 4, 21],\n [9, 19, -21, -22, -11, -2, 7, -16, 9, 11, 6],\n [-10, -13, -9, -21, 23, 19, -18, 21, 0, -14, 12],\n [13, -1, 19, 23, 24, 24, 9, -21, -13, 19, 12],\n [4, -13, -11, -7, 12, 12, 16, 6, 9, -6, -6],\n [23, -13, 0, 22, -9, 4, -22, -18, -17, -4, 18],\n [-14, -7, 7, -22, -24, -19, -23, -18, -17, -5, -5]]\nB =\n[[6, -25, -4, 17, -24, -17, 13, -11, -10, 18],\n [-16, -17, -10, -14, 16, -5, 4, 19, 1, -13],\n [2, 25, 19, -3, 1, -4, 24, -13, 15, 5],\n [-2, -9, 16, -11, 14, 24, 20, -10, -19, 23],\n [-12, 9, -3, -16, -25, -15, 15, -22, 11, -7],\n [17, 12, -3, -2, 18, -13, 23, 6, -25, -4],\n [12, 23, 6, 16, 13, 22, 13, -13, 10, 21],\n [-5, -10, -17, -22, -1, -10, -16, -16, 5, -1],\n [-17, 25, 2, 19, -12, -21, 12, -16, 12, 2],\n [-16, 7, 22, -6, 5, -19, 1, -18, -12, -18],\n [-23, -22, -6, -13, -20, -22, -5, -4, 17, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64700", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -3, -9, -22, 6, 25, 3, 5, -5, 24, -16],\n [15, 11, 20, -16, 10, 2, -6, -3, -22, 23, 0],\n [18, 17, -4, 20, 2, -17, -5, -21, -6, 15, -8],\n [6, -1, 18, 14, -22, -13, -22, 0, -25, -12, -10],\n [8, -21, 5, 25, 24, 16, -9, -1, 2, -9, 14],\n [-4, -6, 20, 15, -9, 20, -22, -15, 13, -12, 6],\n [20, -9, 21, 1, 20, -4, 14, -24, 15, -12, 19],\n [12, -23, 10, 13, -20, -3, -5, -21, -15, 0, 13],\n [19, 11, 22, -11, 14, -4, -22, 19, -1, 24, -11],\n [8, -21, -23, -7, -21, 12, -7, -18, -5, -18, -22]]\nB =\n[[-6, 10, -20, -7, -20, -2, -21, 3, -22, 0, 20],\n [-7, 20, -8, -20, 20, 5, -25, -20, 11, -24, 17],\n [11, 22, -3, 18, 18, 23, 1, 1, 11, -2, 1],\n [5, 4, -2, -25, 14, 6, -11, -2, -15, 17, 12],\n [22, 24, 4, -8, 21, 7, 16, -23, -24, -15, -5],\n [-3, 24, -25, -19, 21, 1, -9, 9, -10, 25, -23],\n [-14, -4, -6, 7, -19, 11, -19, -3, -25, 15, -14],\n [7, -11, 1, -10, -11, 23, 25, -2, 19, 18, 24],\n [7, -12, -15, 0, -14, 8, 11, 11, 15, 1, -10],\n [13, -14, 21, 3, -24, -20, -16, 7, -24, -8, 23],\n [-10, -20, -11, -12, -23, 15, -18, 13, 20, 11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1995", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 7) of the product matrix AB given:\nA =\n[[21, 17, -24, 11, 11, -23, 18, 8, 8, 18],\n [11, 22, 18, 7, -4, 21, -25, 19, 22, -7],\n [16, 11, -11, 25, -8, -10, 9, 13, -15, -19],\n [4, 20, -21, -24, 19, -25, -7, 23, 21, -3],\n [12, -10, -12, -22, -20, -22, -21, 9, 0, -17],\n [23, -21, -1, 19, -8, 12, 4, 6, 9, -6],\n [5, -6, 1, 24, -9, 25, -11, -14, -15, 16],\n [-18, -23, 7, -1, 12, 15, -9, 6, 23, -4],\n [17, -23, -2, -6, -11, 19, 19, 15, -20, 24],\n [23, 16, -24, 7, -12, -18, -8, -17, 21, -16]]\nB =\n[[1, 12, 14, -16, -7, 17, 2, -13, -1, -1, -16],\n [5, 21, -21, -12, -11, 2, -17, 16, -18, 18, -13],\n [-19, -22, -5, -9, -24, 7, 17, 8, 17, -18, 19],\n [12, 2, -17, 24, -25, 4, 19, 6, 5, -22, 10],\n [-11, 24, -12, 23, -8, -15, -13, -10, -11, -15, -15],\n [1, -22, 0, 0, -11, 16, -13, -4, 22, 14, -5],\n [-15, -24, -15, 0, 15, -11, -13, -11, 24, 25, 12],\n [24, -7, 18, 18, -15, -14, -3, -25, 4, 13, -3],\n [-1, 22, 18, -5, 2, -15, -2, -14, -23, 7, -13],\n [-24, 16, 18, -10, -6, 6, -3, -16, -3, -9, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the product of the following matrices:\nA =\n[[-18, -22, -18, -3, 8, 7, -12, -5, -22, 0, -8],\n [20, 11, -25, -23, 1, -10, 10, -3, 6, -12, 22],\n [13, -15, -23, -11, -18, 0, -6, 19, 24, -24, 7],\n [23, -9, 15, -7, 13, -14, -15, -5, 18, 1, -3],\n [-11, 13, -4, -13, 20, -15, -9, -11, 14, 8, -11],\n [21, -13, 3, 11, 21, -23, 22, 16, -16, -10, 23],\n [14, 3, -8, 10, 9, -24, -1, -1, 2, 11, 17],\n [21, -7, -9, -4, -8, 0, -11, 3, -19, -8, 24],\n [-15, -18, 13, 14, -1, -12, 8, -16, -10, 3, 25],\n [-20, 12, -18, -4, 18, 23, 11, 18, -3, -23, 19]]\nB =\n[[0, 15, 9, 16, 18, 12, -24, -6, -8, 15, -12],\n [2, 4, 18, -10, 24, 10, 21, -8, -19, -15, -11],\n [20, -14, -1, -24, -15, 14, 7, -14, -22, 25, 15],\n [-6, 11, 0, -23, 17, -24, -18, -1, 21, -2, -7],\n [6, -25, -24, -14, 17, 15, 8, 12, 20, 0, -6],\n [-12, 11, 17, -18, -21, 17, -6, -19, 25, -21, 21],\n [22, 15, -3, -3, -3, -9, 15, -7, 3, -22, -21],\n [-16, -12, 11, 16, 9, -22, -20, 21, -15, -3, -6],\n [-8, -12, -25, 15, 12, -3, 5, -12, -19, 23, -20],\n [22, -3, 14, -13, -4, -8, 7, -15, -19, 14, 18],\n [20, 3, -25, 13, 23, -1, 8, 0, 18, -11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 11) of the product of the following matrices:\nA =\n[[-1, -20, 1, -22, -22, 18, 17, 16, 11, 24, 2],\n [10, -5, -23, -9, 5, -1, 8, 21, 23, -2, 8],\n [-3, -14, 23, -2, -9, -21, -16, 17, -11, -12, 19],\n [13, -10, -3, 23, -3, -10, 7, 25, 24, -10, -24],\n [4, 8, 14, 9, 1, 22, 10, 4, 10, 7, -25],\n [7, -24, -14, -11, -19, -23, -19, 19, -19, 23, -10],\n [21, 6, 2, -23, 10, 22, 23, -2, 14, 22, -4],\n [-20, -17, 10, 15, -14, -11, -20, 20, -11, -14, -12],\n [-24, -8, 1, 18, -9, 18, -1, 17, -20, 10, 17],\n [-1, 11, 23, 18, -10, -18, 2, 17, -19, 2, 5]]\nB =\n[[4, -23, 19, -21, 15, 9, -22, -1, -17, 21, 15],\n [7, -21, 13, -20, -18, 1, 18, 9, -2, 25, 9],\n [1, 14, 6, -11, 20, -18, 5, 18, -18, 13, 4],\n [-2, 12, -24, 21, 6, 22, -19, 7, -3, 3, 20],\n [6, 19, 23, 22, 3, -14, 12, -24, -19, 14, -18],\n [-7, 11, -17, -11, -1, -14, -23, -15, 6, -2, -17],\n [-5, 6, -20, -6, 12, 18, -10, 25, 2, -4, 17],\n [-3, 7, -19, -14, -7, 21, 24, -12, -1, 3, -19],\n [-6, 5, 11, 16, 12, 10, 12, 10, -5, -6, 15],\n [21, 23, 11, 11, 7, 4, -8, 24, -24, 18, -16],\n [23, -17, -4, -3, 16, 24, -21, 25, 21, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-876", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 11) of the product of the following matrices:\nA =\n[[18, -18, 13, -3, -13, 16, 19, -8, 24, 0],\n [-10, 20, 12, 17, 24, -17, 12, -20, -21, -16],\n [-3, -20, -13, -17, 12, 6, -10, -9, 6, 6],\n [-22, -14, 25, 2, -20, -22, 21, -18, 3, 1],\n [-4, 24, 20, 21, 21, -23, 23, -17, 0, -14],\n [-15, -14, 12, 0, 21, -7, -10, 4, -21, 11],\n [-17, 5, -24, -10, -4, -2, 16, 16, -10, -6],\n [-13, 20, -9, -5, -6, 24, -3, -10, -3, -15],\n [-23, 21, -8, 19, 1, 23, 1, 0, 2, 18],\n [7, 11, -7, -17, -18, -6, 2, -2, -5, 19]]\nB =\n[[-16, -14, -8, 14, -3, 12, 6, 14, 4, -15, -13],\n [13, 5, -10, 4, -13, 2, 9, 24, -8, 24, 3],\n [-7, -22, 11, 10, -6, -12, -7, 13, -19, 1, 4],\n [-13, 7, 8, 10, 10, -2, 8, 7, -1, -4, -15],\n [-25, 12, 2, -1, -10, 21, -17, -5, -12, 7, -5],\n [16, -5, -24, -7, -6, -23, 9, -7, -11, -8, -4],\n [3, -9, -15, -24, -16, 21, -4, -9, 0, 21, 20],\n [-23, 12, 25, -4, -6, 15, 9, -11, 12, -16, 7],\n [-3, -20, 5, 0, -13, -10, 10, 3, -3, -14, 10],\n [19, -1, 22, -2, 1, 7, -7, -25, 3, 3, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[17, -9, 13, 4, -1, 7, 8, 15, -12, 22],\n [0, -8, -6, -19, 4, 23, 3, 19, -24, -14],\n [-5, -16, 8, 12, 7, -20, -5, 2, -17, -5],\n [16, -16, 3, -10, 22, -7, 6, -14, -2, 16],\n [-25, 21, 25, 17, 16, 7, 20, -13, 3, -24],\n [14, -15, 25, 25, -15, 5, -21, 23, -23, -8],\n [4, 24, -5, -15, -13, -13, -23, -10, 0, -12],\n [-22, 11, 0, 12, -11, -5, 15, -13, -13, 12],\n [-8, 22, -10, 22, -15, 0, 15, -25, 6, 19],\n [-25, 22, -19, -12, 15, -8, -13, -1, -13, 10],\n [-9, 11, 23, 4, -9, -16, -10, 20, 8, -3]]\nB =\n[[-11, -19, 9, -8, -11, 17, -2, 13, -17, -17, 7],\n [8, -3, 19, 6, -5, -4, -24, 18, -17, 0, -6],\n [15, -11, 17, 14, 10, -5, -11, -3, -21, 8, -2],\n [0, -18, -18, 16, -20, 0, 17, 8, 18, 1, -11],\n [-8, -24, -1, 22, -17, -10, -21, 25, -1, 18, -3],\n [-22, 5, 18, -7, -18, 12, 21, 10, 15, -9, -21],\n [-7, -10, -15, -24, -21, 9, -9, 11, -11, -3, 17],\n [-8, 11, -23, 8, -2, -24, -6, -18, 19, 17, 2],\n [-17, 4, -15, -5, -11, 23, 1, 18, 19, 0, -4],\n [12, -19, -22, 23, -23, -1, -5, 25, -2, -25, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[24, 24, -19, -1, 20, -21, 24, -14, 10, -6, -14],\n [2, 24, -7, 21, 12, 25, -19, -22, -3, 3, 15],\n [9, -10, 15, -8, 11, 5, 18, 10, -15, -3, -3],\n [-14, -23, -6, -3, 9, 7, -24, 18, 17, 11, -2],\n [-7, -1, -21, -16, 3, 25, 21, -18, -8, 14, 3],\n [-13, 7, 15, -25, 15, -8, -10, -2, 4, 15, -20],\n [9, -1, -8, -21, 13, -15, 20, 23, 9, 20, -16],\n [-8, -3, 11, -2, 6, 7, 15, 18, 12, -18, 19],\n [-11, 12, 13, 6, 17, 14, 5, 15, -22, -12, -12],\n [25, 16, 16, -13, 24, 5, -8, -6, -2, -10, -15],\n [-4, 25, 10, -10, -23, -12, 9, 19, 15, -7, -15]]\nB =\n[[8, 19, -12, -24, 18, 19, -12, 0, -13, -7],\n [-12, 16, 16, -1, -15, 9, 16, 8, 14, -22],\n [22, 7, -16, 12, 19, -3, -18, 13, -14, -8],\n [-23, 23, -22, -5, -17, 23, 18, 2, -11, 1],\n [-22, 0, -24, -5, -8, -24, -19, -6, 18, -10],\n [-12, 6, -11, 24, 4, 22, 21, -19, -2, -9],\n [-9, 13, -21, -25, 24, 17, -5, 4, -22, -21],\n [15, -5, -6, -6, 11, -9, -17, 6, 23, -3],\n [-6, -17, 0, -9, -6, 5, -8, -5, 1, 0],\n [18, 13, -11, 18, 5, -7, 14, 19, -22, 11],\n [21, -19, 22, -9, -16, 17, -12, 19, -8, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11457", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-17, -10, -17, -15, 1, 4, -12, -12, 3, -15],\n [-11, 18, -12, 1, -23, -14, -12, 15, -9, -9],\n [22, 8, 4, -3, 10, -1, 14, 6, -3, 15],\n [-10, 6, 17, -16, 8, 7, 2, 25, -19, 14],\n [-24, 9, 22, -19, -13, -23, -1, -19, 18, 1],\n [-4, 2, -21, -24, 22, 10, -2, 6, -4, 16],\n [-20, 25, -3, 20, -12, -11, 17, -20, -4, 18],\n [-2, -12, -1, 1, 12, 25, -12, -5, -9, -12],\n [7, 16, 23, -17, 16, -8, -15, 23, 18, 3],\n [-21, -2, -21, -16, -24, -3, 6, -25, 6, -8],\n [-10, -10, 11, -2, -7, 14, -25, -15, 25, 14]]\nB =\n[[-7, -21, -5, -6, -8, 8, -3, -7, -16, 24],\n [22, 11, 19, 8, 17, 18, -5, 14, 18, 21],\n [-11, -4, -9, 16, -19, -1, -4, -16, 24, 20],\n [-10, -13, 17, 9, 4, 23, -21, 13, -20, 12],\n [12, -6, 13, -20, -21, -19, -11, -8, 11, 17],\n [1, -3, 3, -2, -1, -6, 20, -5, 14, 14],\n [-24, 22, 23, 16, 20, 18, -6, -15, -24, 21],\n [-11, 0, -23, -8, -6, -2, -10, 15, -3, 24],\n [13, -16, -4, -6, 23, 22, -16, 0, 23, -4],\n [-14, -19, 7, 18, -8, 22, 18, 16, -15, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9533", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[6, 10, 10, -16, 12, 11, 19, 17, 15, 5],\n [-23, 22, 22, 23, 13, 14, 17, -14, -10, 3],\n [23, -25, 2, 19, -18, 8, -10, 14, 0, -4],\n [-1, -2, -19, -5, -25, -24, 24, -9, 2, 22],\n [-7, 4, 21, -12, 3, -24, -15, 6, 21, 20],\n [9, 17, -17, 8, 18, -17, 21, -17, -23, 1],\n [19, -5, 8, 2, 7, 9, 14, 24, -21, 20],\n [20, 15, 5, 16, 19, 7, -1, -4, -18, -17],\n [-15, 5, 3, -3, 11, 25, -6, 22, -3, -17],\n [20, -8, 4, 0, -10, 24, -6, -10, -2, -10],\n [23, 6, 12, -9, 25, 23, 10, 16, -2, -1]]\nB =\n[[-11, -5, 14, -10, 22, -7, -6, 12, -21, -11, 14],\n [-16, -15, 8, 18, 23, 24, -18, 14, 20, -2, 8],\n [14, -5, -24, -7, -12, -14, 11, -6, -6, 5, 3],\n [-15, -15, -8, -16, 22, -8, -17, -20, -14, -25, -16],\n [-24, 19, 15, -18, -1, 4, 1, 18, -13, 6, -20],\n [25, -6, -12, -3, -13, -2, 22, 21, -16, 20, 15],\n [-16, -18, -8, 24, -14, -5, 24, 23, 0, -15, -15],\n [4, 20, -25, -11, 2, 12, -21, 19, 15, 16, -18],\n [12, 19, -4, 12, 20, 4, -22, -24, -5, 7, -12],\n [-10, 2, 20, 15, -17, 8, -15, -7, 3, 24, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "778", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, -17, -19, 5, -23, -18, -17, -11, -18, -9],\n [24, 6, -3, -25, 20, 10, -19, -12, -16, -5],\n [8, 9, 14, 22, 7, -14, -13, 5, -11, 9],\n [-17, -20, 11, -23, 18, 14, -12, 23, -12, -3],\n [23, -25, 10, 24, 7, -2, 0, -16, 13, -8],\n [-16, -20, 9, -21, -17, -23, 21, 22, -18, -16],\n [17, -1, 24, 10, -23, 14, 1, -3, 18, 5],\n [8, -22, -14, 23, 21, 11, 22, -7, -9, 0],\n [-3, -1, 16, -20, -6, -21, 3, 9, 10, 16],\n [9, -14, 0, 21, -3, 19, -22, -18, 1, 2]]\nB =\n[[-18, 18, -12, 15, -20, 15, -4, -1, -18, 13, 14],\n [5, -22, -8, 9, 25, 10, -9, 17, 8, 14, -6],\n [22, 4, -16, 10, 12, 21, 22, 19, 6, -8, 22],\n [7, -11, 18, 18, 9, -2, 5, 6, 7, 14, 24],\n [18, 17, 16, 10, -15, 6, 21, -23, 23, -18, 7],\n [13, -7, 9, 15, 19, -18, 0, -7, 18, -17, 12],\n [9, -19, -22, -20, 8, 25, -10, -16, 10, -12, -19],\n [-24, 5, 3, -9, -10, -19, 24, -11, 2, 20, -20],\n [19, -20, 1, 8, -12, 15, -9, -16, 23, -24, -12],\n [-5, 9, 2, 10, 15, 19, -6, -19, -4, 19, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63543", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 7) of the product matrix AB given:\nA =\n[[2, -6, 6, -7, 2, -1, -4, -24, -5, -20, 7],\n [16, 20, -23, -2, -14, -21, -4, -6, 7, -22, 0],\n [-10, -6, 10, -7, 5, 18, -23, -11, 23, -15, -10],\n [25, 21, 13, 15, 17, 21, -25, 6, -18, -7, 0],\n [15, -5, -4, 20, -15, -19, -20, -1, 6, 7, 5],\n [-10, 10, -9, 19, 0, -3, 10, 19, 23, 21, 23],\n [-15, 16, 25, 4, -1, 8, 18, -5, -24, -23, -21],\n [19, -24, 5, -3, -12, -8, -15, -11, -5, -21, -23],\n [-8, -18, 12, 0, 6, -13, 25, -16, -25, 16, -15],\n [-21, -25, -25, -7, 24, -21, -14, 2, 11, -3, -21]]\nB =\n[[-3, -2, -9, -22, -9, 4, 18, -1, -9, -12],\n [-3, -2, -9, 20, -9, -12, -11, -7, -21, -9],\n [7, 13, -20, -1, 21, -9, 7, -15, 7, 2],\n [16, 15, -21, -5, 4, 20, 0, -23, 23, -5],\n [-14, -19, 0, 18, 13, -13, -12, -1, -9, -10],\n [2, 14, 15, -8, -22, 14, 25, -9, 7, 13],\n [-2, -7, 16, 20, 8, 4, 23, 5, -24, 15],\n [-11, 20, 23, -16, -20, 7, -3, 16, -21, 14],\n [5, -12, -20, 7, 19, 6, -14, 13, 19, -4],\n [-12, 9, -2, 9, -11, -13, 14, 20, -5, -23],\n [-18, -12, 24, 18, 17, -16, 7, -18, -22, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-17, -25, -3, -13, 3, 18, 4, 13, -3, -5, 13],\n [-13, 5, -13, 0, 23, -2, -1, 21, -22, -5, -19],\n [-20, -20, 17, 13, 5, -17, -24, -5, -19, -25, -19],\n [-17, -1, 22, -13, 5, -20, 20, -12, 23, 4, -4],\n [-22, 3, -24, 4, -2, -10, -1, -25, -14, 13, -10],\n [1, 3, 3, -22, 12, 18, 6, 22, 19, 18, 15],\n [-22, 8, 8, -24, 2, 21, -25, -3, 12, 11, -7],\n [1, 17, 25, -14, -25, -13, 21, -25, 19, -16, -12],\n [14, -4, 20, 11, -6, 21, 2, -14, -10, -25, -8],\n [-22, -20, 25, 23, 18, 9, -14, 1, 3, 17, -9],\n [11, 14, 1, -20, 10, 19, 25, -19, 17, -6, -16]]\nB =\n[[-11, -11, -3, -16, -22, 7, -14, -17, 1, -15],\n [6, -11, -19, 0, -18, -21, -24, -24, -16, -9],\n [-13, -17, -10, -19, -14, -22, 5, 6, 10, -23],\n [15, -19, -24, -15, 24, -19, 21, -6, -4, -4],\n [-1, -8, -16, 24, 11, -14, 3, -23, 0, -9],\n [-6, 10, 9, -6, 13, -12, 25, 16, 15, -13],\n [14, 2, 11, 25, 6, -24, 10, -12, 0, -24],\n [-15, -17, 24, 10, -19, 9, -9, 0, 3, 12],\n [7, -15, 8, -20, -8, 5, -11, 4, 17, -13],\n [-21, -6, 14, 21, -8, 17, -24, -14, -6, 23],\n [25, -2, -17, 20, 9, 5, 19, 21, 3, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-553", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 9) of the product of the following matrices:\nA =\n[[3, -22, 14, 24, -12, 2, 7, 14, -18, 25, -25],\n [-22, 3, 9, -8, 12, 25, 18, 24, 10, 14, -7],\n [23, -5, -10, -20, 0, -25, -8, 17, -25, 1, -7],\n [9, 0, -11, -20, 5, 8, 23, 20, -9, -23, 17],\n [-6, -24, 11, -17, -3, 7, 21, 13, 5, -7, 16],\n [25, -22, 21, 8, -11, 3, 17, 24, -20, 20, 15],\n [-19, 1, -1, -25, -17, -4, -4, -24, -20, 23, 3],\n [-25, -9, 21, 6, 18, 11, 12, -22, -21, 24, -3],\n [16, -9, 8, -2, 16, 24, 23, 22, 8, 9, -20],\n [12, -23, 20, -10, 3, -16, 3, 5, -23, 13, 20]]\nB =\n[[-4, 21, -25, 5, -21, 1, 12, -6, -25, 17],\n [-3, -22, 4, -22, -19, 2, 15, 5, -9, -12],\n [-7, -19, 21, -3, -24, -14, 22, 17, -15, 3],\n [9, 2, 6, -19, -9, -24, -4, 2, -24, 2],\n [-6, -15, 19, -5, -8, 5, -23, 10, 15, 16],\n [-7, 22, -19, 4, -15, -15, -9, 6, 25, -22],\n [-20, 25, 4, 17, 15, 20, -13, -25, -15, -10],\n [19, 23, 16, -1, 20, -24, 1, 22, -6, 4],\n [-9, -1, 18, -10, -5, -8, -16, 20, -20, -9],\n [-14, 16, 7, 10, 4, -3, -23, -17, -23, 20],\n [-17, -7, -4, -12, 24, 5, 22, 8, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-482", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[15, 2, -5, 0, -16, -3, -23, -16, 19, 14, -25],\n [2, -13, 13, 21, 17, -12, 12, -25, -24, -20, -8],\n [-8, -4, 21, -14, -15, -17, 21, 2, 16, 13, -7],\n [-6, -22, 1, -25, 1, 20, 15, 24, 2, 9, 13],\n [-25, 21, -23, -22, 1, 11, -3, 1, -1, -8, 12],\n [-24, -16, 18, 8, 0, 1, 6, 11, -15, 23, 3],\n [-13, -18, -2, 3, -25, -13, -1, 11, -19, -4, 7],\n [21, -11, -23, -18, 13, 22, -25, -14, 5, 2, -7],\n [-8, -13, 9, 12, -4, 15, 15, -13, 10, 15, 21],\n [21, -20, -18, -2, 11, -10, -7, 12, 20, 22, -23]]\nB =\n[[-4, 10, -4, -3, -25, -4, -10, 16, 20, -23, -24],\n [13, -16, 10, 13, 14, -10, -13, 8, 16, -4, -7],\n [-8, 22, -16, -7, 1, 19, -12, -14, 19, -14, -4],\n [-17, 9, 19, -12, 25, -2, -23, 10, 22, 0, 20],\n [20, 0, 14, 20, 9, -19, 3, -21, 4, -14, -1],\n [-12, 23, 5, 17, 22, 21, -14, -23, -1, 19, -3],\n [4, -21, 7, 14, -14, 23, 4, -9, -11, 17, -23],\n [17, -15, -12, -9, 6, 9, 4, -21, -13, 8, -5],\n [0, 12, -20, -22, -8, 5, -2, -17, 1, -18, 0],\n [-13, 19, 23, -21, -7, 21, -12, 19, 11, 6, -11],\n [1, -9, 8, 1, 1, -18, 22, 0, 12, -12, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-547", "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, -11, 8, 19, -4, -14, -1, 7, 22, 16],\n [18, 14, -22, -21, -10, 20, 19, -22, -7, 18],\n [-13, -23, -21, -11, 1, 7, -6, 15, 8, -9],\n [15, -19, 18, 11, 18, 14, 11, -11, 8, -23],\n [-24, 17, 12, 8, 9, 22, -6, 24, -9, 5],\n [-9, -16, -3, 4, 11, 18, -24, 15, -20, 13],\n [-13, 15, -2, -23, 3, -10, -2, -22, -19, 23],\n [-6, -11, -17, 13, 9, -23, -1, -23, -11, -15],\n [-2, -20, -5, -12, 1, -13, -3, -24, 19, 5],\n [-13, -10, -25, -24, 6, -24, -22, -24, -22, -13]]\nB =\n[[19, -25, -23, -11, -23, 7, -12, -16, -3, 17],\n [-18, -25, 19, 2, -15, -17, 17, -15, 15, -25],\n [14, -23, -3, 24, -7, 19, -17, 11, -20, -10],\n [19, -7, -7, 17, 14, -23, 18, -13, 0, -6],\n [-3, 15, 21, -7, 5, -20, 9, 25, -20, -9],\n [-25, 2, 18, 5, 18, -10, -22, -23, -19, -3],\n [-22, -6, -13, -18, 10, 8, -22, 0, 9, -6],\n [-16, -20, 4, 25, -23, -6, 20, -23, -10, 25],\n [-22, 16, 14, 13, -9, 22, 3, -22, -16, 17],\n [-17, -15, -25, 5, -9, 24, 10, 21, -8, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67315", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, -2, 7, 0, 3, -2, 20, -14, 2, 0, 15],\n [-1, -11, 17, 5, 8, 25, 15, -18, 1, -22, -14],\n [5, -5, -6, 22, -9, 19, 5, -11, 6, 22, 24],\n [-24, 2, -5, 24, -13, 7, 1, 0, 8, -8, 23],\n [-16, -7, 24, -14, -2, -25, -17, 3, 19, 2, 9],\n [-8, 15, 18, 22, 22, -7, -4, -8, 11, -14, -17],\n [10, -11, -17, -17, 20, 25, 22, 15, 5, -20, 20],\n [24, 13, -11, 14, -16, -25, -18, -2, -5, 22, 10],\n [4, 24, -23, 25, -20, 12, -1, 15, 7, -15, -14],\n [16, 18, -25, -22, -21, 9, -15, 4, 7, 14, -5],\n [-4, -1, 8, 17, -22, -14, -22, -3, 12, -20, 20]]\nB =\n[[7, 15, 9, 7, 24, -20, -19, -5, -11, -24, -3],\n [-23, -14, 23, -11, 7, 20, -13, -13, 2, -13, -2],\n [13, 4, 10, -22, -13, -14, -25, 18, 23, -9, -2],\n [8, 13, 16, -19, -3, -5, 17, -2, 10, -23, 3],\n [2, -24, -22, -9, -6, 10, 0, -4, -7, 5, 16],\n [-1, 4, 22, -17, 16, 4, 15, 6, 21, 19, 22],\n [-11, 10, 9, -25, -5, 10, -23, -11, -2, -10, -19],\n [-10, 2, 24, -14, -1, 4, -18, -15, 16, 10, 10],\n [21, 10, 23, 20, 4, -20, 9, 4, -12, 11, 2],\n [14, 15, -21, -5, 23, -20, 24, 25, -2, -10, -19],\n [16, 0, -5, 22, -8, -9, -5, -20, -7, -24, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -10, -1, 18, -15, -14, 2, -24, 12, -14],\n [-1, -24, 7, -13, 19, 24, -2, -6, -6, 21],\n [-14, 17, 19, 11, 17, 23, 25, -18, 10, 22],\n [20, 7, 5, 12, 3, -8, -6, 18, -18, 14],\n [25, 20, 11, -2, -25, -23, 12, -15, 16, 14],\n [15, 13, 17, -23, -5, -21, -25, 20, -12, 24],\n [-22, -7, 21, -6, 22, -19, 22, -17, 13, 8],\n [16, -13, -22, 10, -7, -9, -1, -12, -21, 15],\n [20, -19, -12, 7, -14, -22, -20, -25, -6, 0],\n [17, -3, -14, -13, -8, 5, 20, 24, 2, -21],\n [13, -6, -6, 8, 24, -12, -11, 10, 4, -8]]\nB =\n[[8, 0, 10, 21, 18, -7, 16, -22, 16, 1, -23],\n [23, 18, -14, 10, 13, -24, 16, 8, 12, 5, -21],\n [-6, 12, -15, 5, -1, -22, -5, 15, -25, 16, 25],\n [23, 11, 17, 2, 25, -25, -10, -24, -24, 17, -9],\n [-4, -10, -13, -19, 24, -9, -5, 5, -11, 17, -3],\n [15, 20, 0, 4, -15, 12, 0, -20, 20, -23, 25],\n [-1, 15, -11, -5, 16, -20, -3, -14, 1, -11, -18],\n [-1, 17, 22, -7, 9, -5, -8, 3, 1, 14, -16],\n [-21, -4, -12, 14, -25, -13, 1, 23, 22, -9, -18],\n [2, 0, -6, -7, -12, 24, -1, 10, 2, -18, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65946", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -20, -1, -25, 4, -21, -17, -18, -2, -1],\n [15, -18, 12, -5, -7, -23, 13, -10, -25, -16],\n [-20, -21, -9, -5, 3, 5, -23, 12, 2, 2],\n [-25, -14, -10, -1, -8, -18, -20, 25, 24, -17],\n [-8, 4, -6, -8, 11, 3, -15, -8, 7, -23],\n [2, -21, -10, -22, -8, 1, -8, -24, -20, 22],\n [9, -7, 3, -15, 12, -25, -5, 9, -18, -23],\n [-11, -9, 2, 24, 10, 25, 15, -12, 22, -9],\n [13, -6, 13, -20, -20, -13, 9, 9, 20, 1],\n [6, 8, -23, 6, -19, 8, -5, 3, -22, -22]]\nB =\n[[13, -25, 5, 19, -9, -19, 23, 18, 24, 10, -5],\n [-3, -13, 16, 8, 10, -21, 10, 5, -14, 20, 16],\n [2, 22, 2, -19, 8, -4, 25, -2, -12, -10, -15],\n [4, 12, 16, -19, 20, 19, -23, -11, 23, 4, 7],\n [11, 11, -9, 22, -6, 7, 1, 11, -6, 8, 5],\n [-21, -8, -7, 12, -9, -3, 17, 21, -24, 18, -2],\n [25, 22, 18, -25, -4, -12, 13, 14, -13, -14, -19],\n [-24, -23, 14, 10, -13, 13, 4, 18, 10, 11, -12],\n [0, 21, 14, -19, 2, -18, -11, -21, 7, 18, 17],\n [10, 23, 10, -23, -4, -4, 6, 12, 24, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13119", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 4) of the product of the following matrices:\nA =\n[[-22, -11, 19, -5, -6, -6, -1, 19, 5, -22, 3],\n [9, 4, -17, 11, -21, -8, 7, -13, 7, 23, 14],\n [11, -24, 18, 16, -14, 3, 3, 21, 22, -3, 14],\n [-21, 10, 5, -3, -10, -18, -17, -24, -8, 21, -7],\n [11, 14, -18, -9, -21, -18, -16, -23, -23, 5, 1],\n [2, 12, 10, 1, -10, -11, -18, 13, 23, 2, -11],\n [-2, -21, -20, -21, -1, 14, -19, 5, -23, -8, 3],\n [-25, 25, 3, 14, 7, 21, -2, 21, 9, 21, -19],\n [7, -22, 9, 8, -16, -16, 11, -6, 18, -9, 15],\n [-13, -19, 4, -4, -15, -13, -3, -16, 2, -9, 21],\n [4, -4, 23, 14, -6, -20, -8, 5, 0, 21, -24]]\nB =\n[[19, 5, 24, -13, 12, 9, -1, 6, 3, 9],\n [2, -7, -7, -19, 23, -7, -18, -12, 9, -18],\n [23, 10, -24, 3, -2, -11, -18, 11, -23, 16],\n [24, -15, -19, 13, -21, -5, -4, 6, 12, -19],\n [0, 1, 17, 25, -22, -8, -24, 7, -25, 4],\n [17, 13, -1, 0, 5, -10, -22, -13, 1, -12],\n [-10, -17, 4, -17, 13, 1, -19, 17, -19, -7],\n [13, -10, -10, 21, 8, 3, 13, 6, -11, 7],\n [-5, 5, 13, 3, -10, 19, -3, 11, -19, 6],\n [14, 17, 4, -16, -11, -13, -4, 13, -3, 8],\n [-20, 19, 6, 12, -14, 5, 18, -11, -14, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-25, 18, -1, -16, 7, 16, 18, -11, -18, 12],\n [22, 2, -18, -2, -24, -23, -1, 8, 10, -9],\n [-7, 3, -7, 11, 10, 4, -15, -17, 11, 8],\n [-6, -22, -21, -13, -22, -16, 19, 18, 18, -24],\n [20, -16, 21, -24, -10, -19, -17, 21, -2, -17],\n [20, 3, -18, -14, -24, -17, -19, 3, 6, -6],\n [-3, -1, -11, 7, 10, 4, -10, -17, 18, -16],\n [10, 6, 21, 24, -12, 9, -12, -25, 25, -2],\n [-14, 22, 15, -17, -13, 0, -11, 18, -10, -16],\n [-9, 14, 19, -16, 21, 21, -16, 9, 15, -18]]\nB =\n[[-16, -19, 8, -25, -21, -9, 22, -6, -22, 20, 8],\n [10, 21, -25, 24, 14, 3, -6, 3, -10, -10, 10],\n [19, 14, -2, -9, 1, 14, -17, -6, 20, -2, 16],\n [-5, -9, 13, 24, 5, -12, 11, -13, 3, 7, -5],\n [17, -20, -11, -12, 6, -17, 20, -16, -7, -23, 6],\n [-25, -10, 12, 19, 6, -24, 10, -7, 21, -11, -21],\n [-12, -21, -15, 1, 13, 11, -19, -24, 23, 16, -3],\n [-5, 23, -3, -25, 3, 25, 9, 9, 11, 21, -8],\n [7, -20, -16, 2, -14, -22, 23, -1, -19, 12, -6],\n [18, -3, -18, 15, -9, 3, 22, 9, 0, -16, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70619", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 6) when matrix A is multiplied by matrix B?\nA =\n[[-11, -8, -22, 1, 19, -21, -20, -16, -7, 24],\n [-14, -2, -10, -17, -13, -8, 6, 18, -7, 12],\n [-5, -5, 23, -20, -24, -20, -9, 25, 4, 24],\n [-15, -1, 9, 25, -17, -1, 19, -18, -23, 0],\n [12, -4, -2, -5, -10, 20, 10, -16, -24, 7],\n [1, -9, -15, -17, -16, -15, -11, -24, -9, -15],\n [17, 12, 6, -21, -8, 20, 11, 22, 20, 24],\n [-24, 13, 1, -18, 17, 2, 2, 23, -21, 4],\n [17, 1, 1, -1, 1, -14, -22, 8, 24, -2],\n [10, -9, 6, 18, 19, -14, -20, 6, -24, -10],\n [19, 1, -22, 2, -10, -3, 21, 19, -16, -8]]\nB =\n[[9, -22, -5, 0, -10, 10, -7, -5, 9, 13],\n [11, -5, -5, -13, -25, 9, 22, 7, 12, 24],\n [-17, 5, -4, -20, 22, 1, -3, 4, -23, -6],\n [25, -4, -5, -11, 23, 16, -11, 24, 21, -11],\n [-21, 15, -6, -4, 2, 1, -13, -12, -16, -16],\n [-7, 1, -2, 15, 17, -25, 1, -18, -9, 15],\n [2, 18, 17, 1, 7, -2, -25, 18, -18, 19],\n [-24, 21, -8, -11, 16, 14, -22, 13, -11, 0],\n [-13, -16, 11, 18, 8, 1, 1, 24, 19, -2],\n [25, 5, -16, -13, -7, 18, 11, -23, 23, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-592", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-17, -23, -22, 3, 3, 5, -4, 14, -8, -24, 18],\n [9, -14, -4, 15, 0, -1, 6, -17, 12, -16, 9],\n [22, 6, 15, 15, -23, 4, 15, 18, 9, -21, 4],\n [-25, -17, 23, -22, 20, -6, -2, 11, 18, -13, -13],\n [-7, 23, -9, -6, 13, -11, 7, 3, -18, -5, 14],\n [-16, 23, -25, 6, -2, -12, 2, 14, 1, -11, -1],\n [24, -25, 16, -22, 13, 1, 5, 25, 17, -6, 16],\n [-2, -9, 4, 13, -19, 7, 16, -22, -18, -24, 16],\n [3, 8, -9, 14, -6, 12, 3, -20, -6, 1, -20],\n [23, -20, 20, -19, 12, 10, -20, 8, -25, 4, -4]]\nB =\n[[22, -9, 16, -6, 6, 6, -20, -20, -18, 18],\n [-15, 3, 7, -25, 1, -18, -13, 11, 11, 16],\n [25, 16, 3, 0, 15, 0, 14, 6, 16, -2],\n [-23, -13, -15, -21, -25, 8, 18, 6, -13, -9],\n [-24, -5, -5, -20, 4, -11, -11, 19, 21, -17],\n [-14, -19, -2, -5, -17, 6, -24, -19, -24, 19],\n [-14, -11, 9, 25, -20, -19, -15, -23, 8, 5],\n [-5, 3, -7, -19, 17, -15, -23, 13, 17, 18],\n [19, 7, 2, 13, 6, -22, 9, -9, 9, 16],\n [11, 0, 22, -9, 8, 23, -18, -17, -19, -25],\n [14, 15, -10, 24, -24, -18, -4, 1, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[25, 0, -4, -25, 6, 20, -4, 1, 12, 18],\n [7, 4, -7, 7, -1, -20, 22, 3, -11, -14],\n [12, -11, 5, 24, -25, -6, 3, 22, -15, -17],\n [-10, -10, 7, -7, -1, 24, 8, 13, -2, 23],\n [6, 13, -23, -13, 4, -3, 4, -14, 19, 12],\n [-2, -2, 4, -9, -11, 10, 24, -2, 6, -2],\n [-23, 19, -25, -6, -5, -14, 10, 18, -5, -7],\n [-7, 11, -24, 7, 11, -16, 6, 4, -9, 4],\n [-12, -21, 10, -13, -10, -13, 3, -2, -8, 13],\n [-18, -21, 22, -12, -23, -20, 19, -9, 25, 17],\n [16, 3, -4, 15, 17, 8, -20, 17, 15, 1]]\nB =\n[[23, -12, -6, 1, -23, -9, -22, 16, -13, -25],\n [15, -5, -23, 21, -1, 16, 18, -25, -12, 8],\n [14, -23, 16, -17, -21, -1, 7, -21, -14, 13],\n [-15, 7, -10, -23, -21, 14, -7, 22, -15, -5],\n [-17, 17, -8, -14, 17, 13, -3, 24, 12, 14],\n [-13, 9, 2, 9, -3, -11, -18, -11, -25, 9],\n [-14, -17, 13, 7, -5, 5, 4, 17, 16, -7],\n [8, 19, -9, 8, -25, -1, 9, -16, 7, -12],\n [-20, 24, -6, 20, -14, 1, -15, -11, 2, 12],\n [-24, -12, -21, 21, 11, -16, -12, -8, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "887", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 5) of the result:\nA =\n[[2, 12, 5, 7, 10, 21, -22, 11, -3, -5],\n [-1, 25, -11, -12, -13, 24, 7, -5, 17, 18],\n [-2, -1, 9, -3, 22, -22, 22, -5, 12, -2],\n [0, -1, -18, -20, 10, 8, 14, -23, -10, -20],\n [23, -5, -23, 20, -25, -19, -2, 16, -6, 8],\n [20, -18, -1, 12, 2, 11, -1, -14, 17, -6],\n [-8, 7, 7, 11, 13, -14, 11, -12, -6, 15],\n [24, -8, -16, -9, -21, 2, 11, 7, 12, -5],\n [13, 17, 2, -25, -23, -13, 22, 0, 19, 15],\n [-20, 24, -1, 9, -7, 24, 11, 9, -4, 11],\n [-15, -1, 0, -16, 20, 2, -7, -7, 10, 16]]\nB =\n[[-8, 0, 23, -18, -21, -18, 4, -18, 10, -16, 1],\n [25, 15, -11, -6, 12, -8, 18, 13, -14, 20, 20],\n [17, 23, -8, 9, 25, 12, 1, -18, 9, 6, -17],\n [18, -18, -18, -25, -1, -19, 6, -16, 22, 10, 19],\n [-4, -9, -15, 21, 22, 15, -10, -1, 4, -14, 15],\n [21, 23, 0, 0, -14, 16, 5, 0, 12, 2, -20],\n [-25, -24, 1, 16, -18, 24, -16, -17, -15, -22, 4],\n [11, 13, 1, -9, -17, 21, -20, 3, -21, 19, 23],\n [-25, -8, -12, -14, -22, -18, -20, -6, -3, -9, -25],\n [13, 12, 23, 23, -12, -24, -10, 19, 22, 19, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, 7, -13, 1, -14, 11, 21, -23, -22, -11, 2],\n [21, -12, -2, 15, -20, -15, 3, -10, -13, -15, 8],\n [-8, 15, 21, 20, -16, 13, 10, 4, -11, -8, 3],\n [3, -4, -3, 3, 18, -20, 12, 18, -2, -21, 15],\n [-3, 8, -14, -15, -23, -2, 3, 15, 5, -18, -24],\n [3, 11, -10, 15, -18, 10, -12, -14, 1, -7, 25],\n [25, -13, 3, 25, -23, -18, -12, -19, -22, 23, -5],\n [19, -14, 5, -17, -19, 19, 9, 14, -15, 11, 16],\n [-24, 8, 9, 12, -10, 25, 6, -11, -16, -14, -13],\n [4, 21, -4, -19, -10, 19, 7, -3, 15, 7, -20],\n [20, 6, -7, 10, 4, -23, 11, 20, -8, 8, -10]]\nB =\n[[-22, -22, 17, -19, 22, -8, 17, 11, 9, -24, 20],\n [-21, -23, 9, -11, 25, -10, 1, -14, -21, -23, -15],\n [13, -20, -12, 22, -3, 16, -22, -10, 25, -19, 1],\n [-23, -23, 6, 22, -22, 17, -16, -25, -8, 4, 25],\n [2, 17, -10, -4, 4, 15, 13, 11, -16, -1, -15],\n [-3, -4, -6, -21, -4, -9, -8, -11, 4, -14, -24],\n [13, -23, 18, -12, 10, 11, 25, -12, -3, -11, -19],\n [7, 23, 12, -14, 25, -2, -12, 16, -19, -6, 3],\n [18, 21, -19, -21, 10, 7, -13, 6, 11, 11, 1],\n [24, -24, 21, -13, 12, 4, 20, -20, -23, 25, 4],\n [-7, 24, -10, -22, 19, -17, -18, 23, 0, -17, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13885", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -21, 23, 19, -10, -7, -3, -18, 12, -8, 0],\n [17, 0, 15, -11, -12, -19, -1, -24, 22, -20, -17],\n [16, -5, -15, 24, -19, 6, 14, 14, 1, -13, -24],\n [-13, -22, -22, 0, -3, -6, 4, -1, 1, -6, -10],\n [25, -22, -17, -19, 21, -6, 15, 15, 6, -25, -17],\n [14, -7, 14, 10, 8, 8, -3, -25, 10, -3, 3],\n [-3, 21, -3, 16, 1, 1, 13, 1, -3, -3, -5],\n [-19, -5, 19, -6, 6, 13, 18, -20, -8, -20, -18],\n [24, -24, 14, 20, -6, 16, -13, 12, -18, 0, -16],\n [-17, 2, -19, -25, 7, 17, 23, -13, 8, -15, 21]]\nB =\n[[22, 3, 22, 21, 1, 9, 12, -1, 21, 14],\n [19, 25, -11, -24, -12, -12, 20, 15, -2, -21],\n [8, 18, 6, 2, 20, -13, -10, -5, -4, -3],\n [6, -14, 15, -4, -3, 9, -1, 21, 17, 19],\n [4, 4, -23, 5, 10, 10, 9, -12, -4, -11],\n [-3, -18, 24, -2, 23, 16, 14, 23, 7, -19],\n [12, 10, 24, -17, 8, 17, -6, -7, 6, 24],\n [-5, 0, -17, 10, 8, 18, -20, 7, -11, -8],\n [-3, -19, -12, -12, -6, 8, 4, 18, 3, -19],\n [4, 17, 4, 20, 20, 0, -21, -1, 4, 8],\n [20, 23, -7, 17, 4, -18, -4, 4, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5597", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 18, 18, 20, -10, -18, -13, 16, -12, -6],\n [6, 9, -18, -24, 10, -3, 23, -24, 2, -21],\n [-1, -25, 25, -4, -19, 18, -3, -2, 0, -12],\n [5, 1, -4, 23, 19, 20, 10, -9, 18, 4],\n [-5, -18, -24, 22, 20, -20, -13, 3, 9, 4],\n [20, 8, -6, 16, -11, -16, 19, -2, -8, -23],\n [2, 24, -14, 7, -10, 23, 16, -23, 7, -2],\n [-25, 25, 16, -12, -17, 9, -10, -17, -14, 5],\n [23, -20, 13, 4, 19, 17, 19, 10, -1, 3],\n [3, -4, -22, 14, -17, -5, 21, 14, -15, -13]]\nB =\n[[-6, -16, -3, 6, -2, 18, -15, 23, 12, 7],\n [1, -3, -22, 19, 23, -11, 16, -23, -23, -1],\n [-4, -15, -15, -18, 11, 2, -6, 25, -4, 20],\n [22, -15, -3, 8, 8, 16, 24, 21, -2, 23],\n [-23, 4, -3, -25, -8, 11, -23, -2, -1, -24],\n [-4, -17, -10, 17, 15, 18, -10, -11, -19, 1],\n [-8, -19, -4, -13, -7, 0, -9, -9, -10, -13],\n [-21, 8, -7, 3, 3, 1, -14, -21, 4, 23],\n [3, -3, 22, -25, 17, -21, 22, 20, -22, -15],\n [17, -12, 6, 22, 10, -13, 6, 24, -17, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[25, 24, 15, -9, -13, 4, 0, 20, -15, -23],\n [19, -7, -4, 23, -4, 6, -19, -2, -17, 21],\n [-1, -4, -2, 18, -19, -3, -25, 11, 10, -21],\n [-3, 16, -5, -11, -24, -5, 24, -8, 14, -8],\n [-8, -11, -15, 21, -14, -25, 9, 16, 6, -16],\n [-14, -3, 1, -25, 7, 13, -7, -3, -15, 23],\n [-22, -23, -15, 22, -17, -2, 13, -17, -11, 15],\n [-25, -15, 21, 13, -3, -17, -20, -14, 18, 20],\n [-11, -23, -25, -13, 7, -15, -10, -23, -10, 6],\n [0, 2, 1, 15, -9, 22, 22, 1, -14, 9]]\nB =\n[[-7, 7, -9, -17, 21, 20, -14, 7, -11, 3, -13],\n [-23, 9, -5, 13, 9, 9, 10, 5, -13, 6, -8],\n [18, -8, -16, 20, -10, -3, 5, 25, 8, 18, 3],\n [23, -10, 4, -1, 11, 11, 22, -7, 6, 24, 11],\n [13, -14, -11, -11, -6, -20, -7, 3, 1, 9, 7],\n [20, -7, 14, 10, -21, -6, 8, 22, -19, 8, 2],\n [13, 20, -4, 15, 24, 14, 12, 15, 24, 4, -5],\n [14, -17, 10, -13, 20, 7, 0, -25, -24, 10, 19],\n [4, -10, -17, -11, 13, -4, -11, -22, -10, 15, -15],\n [22, 6, -4, -25, 0, -23, 6, 7, 7, -24, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5655", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-14, -24, 11, -18, -9, -22, 18, -25, -20, 14, -4],\n [9, 24, 14, -15, -24, -8, -17, -20, 8, -14, -5],\n [0, -16, -10, -11, -3, 16, -5, 17, -10, -15, -6],\n [-5, -10, -15, 7, -4, -1, 7, 11, 8, -11, -25],\n [-22, -9, 2, 6, -18, 10, 10, -7, -2, -23, -12],\n [6, -14, 5, 8, 5, 10, 6, 9, 6, -10, -25],\n [21, 14, -13, -15, 25, -15, -1, -21, -5, 9, -14],\n [20, -13, -23, -14, 21, 8, -6, 13, 24, -22, 15],\n [17, 23, -19, 21, -23, 20, 15, 18, -13, 3, 15],\n [-5, 20, -1, -23, 4, 13, -4, -24, -17, -22, -18]]\nB =\n[[-7, -5, -12, -25, 15, -6, -7, 16, -10, -16, -24],\n [-25, -18, -17, 13, 16, -8, -11, 16, -10, -5, 21],\n [-1, -2, 21, -10, 23, -17, 12, -11, 22, -13, 18],\n [-2, 25, 7, -14, -16, 5, -22, 12, 10, -16, -23],\n [-4, 23, -5, 12, 20, 12, 20, -23, 3, 11, 25],\n [-21, -23, 24, 4, 21, 14, -18, 18, -13, -6, -13],\n [-20, -16, 0, -20, 0, 2, -14, 14, -22, -2, -11],\n [-2, -13, -23, 1, 13, 19, -11, 0, -3, 13, 7],\n [-5, -12, -13, 6, 16, 18, -14, -16, -4, 21, -1],\n [18, 21, 3, -19, 24, 9, 3, -10, -18, 25, -17],\n [-6, -7, -10, 3, 8, 2, 8, -9, -22, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8998", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 2) of the product of the following matrices:\nA =\n[[19, 12, 4, 5, 17, 6, 8, 19, -8, -20],\n [25, -23, 14, -12, 25, 12, -9, 25, 1, 11],\n [0, -12, 10, -2, -5, -25, 16, 6, -15, 22],\n [-9, -23, 11, 3, -7, 17, 7, 23, 13, 21],\n [-21, -24, -17, 15, -1, -6, -15, -14, -25, -2],\n [-9, -10, 20, 12, 17, -18, -2, -20, 20, -17],\n [-23, 10, -3, 5, 8, 12, 14, 9, 22, -9],\n [-5, -23, 12, 9, 8, 25, -12, -10, -22, -17],\n [12, -11, -25, -16, -15, 5, 25, 10, 8, 12],\n [-9, -22, 17, 11, -8, 13, 10, 14, -19, -14]]\nB =\n[[-7, 11, -18, -16, 10, -19, 2, 15, 17, -8],\n [11, -25, 3, -4, -4, 21, 19, -2, -1, -6],\n [4, 25, -19, -23, -20, -10, -13, -19, 3, -15],\n [-24, -2, 0, 19, 25, 12, -17, 12, 10, 15],\n [-20, 21, 4, -12, 22, -12, -12, -2, -8, -24],\n [6, 0, 5, -5, 3, -12, 15, 23, 21, -25],\n [8, 6, 22, 13, -14, 22, -23, 25, -12, -4],\n [0, 9, -3, 13, -22, 19, 0, 11, 17, 23],\n [0, 0, 4, 25, 3, 6, -12, 3, -21, 4],\n [-4, 6, -9, 4, -20, -21, 15, 10, -4, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -13, 24, 12, 14, 18, -10, -12, -4, -22, 21],\n [-9, -23, -23, -17, 12, -19, -13, 6, 24, -24, 18],\n [11, 20, 18, -13, 3, -13, 24, -6, 23, -15, 14],\n [24, 15, -17, -22, 17, -11, 10, 5, -24, -14, -5],\n [22, 4, 18, 24, -3, -15, 10, -1, -19, 24, -18],\n [-4, 10, 12, -23, -12, 1, 10, 0, -19, 11, 18],\n [-18, 14, -22, 17, 25, -24, -9, -5, 10, -6, 4],\n [22, 17, -24, -11, 14, -24, 1, -5, -1, 3, -21],\n [-25, -1, 16, -1, 22, -15, 7, 19, -7, 15, -8],\n [24, -19, -3, -22, -5, 15, -13, 1, -20, -13, -8],\n [1, -3, 20, 20, 5, -5, -1, 19, 17, -10, 24]]\nB =\n[[-10, 13, -5, 23, 7, 2, 4, -25, -21, 7, -15],\n [-18, 5, -5, -1, -8, -14, -14, 9, 3, -12, -13],\n [-7, -6, -24, -14, 18, -16, 10, -9, -19, 11, 10],\n [-8, -13, -13, 14, -14, -11, 22, 25, 11, -23, -16],\n [-3, -22, 18, -1, -25, -21, -21, 21, 1, -19, 23],\n [-2, -3, -18, 4, 5, -10, 2, -25, -15, 25, 12],\n [-3, 6, 6, 3, 5, -7, -17, 6, 5, -21, -3],\n [20, -5, -6, -13, 19, -6, 21, -13, -19, 8, -9],\n [4, -22, -22, 24, 11, 13, 10, -11, -4, -15, 10],\n [6, -7, -10, -16, 17, -9, 17, 17, -20, 22, 19],\n [25, 7, -6, -12, 17, 2, 14, -20, -7, 17, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75724", "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, -21, -24, 22, -20, -12, -12, 4, 19, 14, -2],\n [4, -15, -12, -4, -23, 3, 22, 20, -18, 23, -19],\n [-2, -21, -6, -21, 23, -20, 2, -11, 0, 19, -5],\n [-5, -17, 21, 18, 15, -16, 22, -1, -5, 8, 5],\n [-24, 16, 14, -10, 9, 23, 24, 5, -14, -3, 16],\n [18, 12, -9, 18, -12, 7, 22, 22, -20, -3, 22],\n [23, 5, 14, -21, -23, 12, 2, 5, -9, -4, 21],\n [-13, 23, 18, -5, 21, -5, -20, -16, 14, -12, -3],\n [-19, -2, -11, -3, -21, 15, -6, -16, -3, 23, 1],\n [25, 17, 20, 5, -20, 22, -13, 2, -10, -9, 20],\n [21, 5, -16, 5, 13, 16, -20, 20, -6, 23, 15]]\nB =\n[[-5, -10, -1, 13, 10, 17, 8, -18, -12, 23],\n [-3, -14, -6, -2, -13, 7, 8, 6, 16, 3],\n [1, 12, -13, 23, -4, -19, -19, 3, 14, -12],\n [-24, -19, -9, 7, -4, -12, -25, -18, 15, -18],\n [3, -9, 1, 19, -18, -20, 25, 18, 4, -3],\n [-11, 15, -12, 1, -23, -14, 17, -23, 14, -25],\n [-9, -8, -16, -14, -9, -4, 16, -12, 15, -18],\n [25, -9, -11, -20, -19, 24, 6, 22, 17, -17],\n [-6, 16, 19, 13, -24, -8, 12, -24, -11, -15],\n [-23, -17, 19, 17, -3, 19, 17, -16, 11, -2],\n [6, -22, 13, -19, 3, 19, 20, 3, -17, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61297", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[20, -24, -23, 15, 2, -6, 16, -22, 4, 5],\n [15, -4, -17, -17, 5, -10, 9, -4, 20, 5],\n [-13, 2, 23, 25, 13, 13, -19, -1, 22, -25],\n [24, 20, 9, -15, 8, -8, 5, -10, 25, 20],\n [4, 11, -1, 2, -2, 8, -5, 23, 25, -15],\n [1, -17, -10, 25, -15, -12, 17, -11, -4, 16],\n [16, -4, -1, -4, -23, 13, 4, -25, 19, 25],\n [-23, 21, -9, 7, -13, -18, 6, 0, -20, -14],\n [-18, 3, -6, 19, -13, 19, -18, -8, 0, -6],\n [7, -18, 22, -14, -24, -10, 24, 17, 17, 11]]\nB =\n[[-15, -9, 18, 4, 18, -18, -3, -16, -20, -25],\n [-15, 15, -3, -23, -12, -13, -6, 9, 23, 25],\n [-11, -21, 15, -5, 23, 20, 11, -15, -19, -14],\n [-22, -3, 0, 22, -24, -10, 8, -15, -3, 25],\n [-3, 25, 19, 4, 13, 19, -6, -10, 23, -15],\n [20, 5, -2, 0, -24, -11, 19, 19, 11, -4],\n [0, 23, -22, -20, -4, 12, -3, -1, -23, -6],\n [7, 22, 23, -6, -20, -14, 18, -7, 22, -1],\n [23, 23, -8, -11, 12, 1, 15, -2, 17, -5],\n [14, 11, -11, 0, -16, -23, 13, 3, 12, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4453", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 14, -21, 6, 0, 22, 1, -14, 6, 13, 10],\n [-20, 18, -13, 24, 5, -8, 3, -16, 13, 13, -23],\n [25, 19, -8, 22, 3, 16, 21, 0, 6, 1, -15],\n [15, -20, 5, -18, 18, -2, -8, -17, -4, 17, 24],\n [-16, -25, -23, 18, 0, -19, 1, -11, -3, -5, 20],\n [-13, 6, 23, -6, 22, -21, 15, 6, 21, 2, 15],\n [2, -14, -20, 0, -9, 10, -16, 0, -10, 6, -10],\n [-12, 25, -1, -25, 13, 17, -10, 7, -4, 21, 2],\n [24, -3, -24, -11, 25, 18, 18, 16, 21, 11, -21],\n [6, 12, -3, -3, 7, -20, 22, 7, 15, -6, -24]]\nB =\n[[-6, -3, 25, 0, 0, -24, -24, 7, -16, 2, -11],\n [-8, 13, 1, 11, 13, 18, -14, -12, 5, -17, 20],\n [14, 0, 1, -10, -24, -9, 3, 6, -1, -23, 15],\n [12, 9, -23, 1, -12, 7, -5, -16, -9, -19, 1],\n [5, 14, 8, -2, -16, 23, 2, 16, 7, 21, -13],\n [18, 3, 1, -15, -16, 3, 18, -12, -5, 14, -1],\n [-19, -11, -18, 11, -4, -13, 13, -1, 2, 25, -10],\n [-19, 23, -20, -11, 9, -24, -14, -12, 25, 24, -24],\n [17, 8, 2, -21, 9, -10, 12, 16, 9, 20, 18],\n [18, -21, 20, 14, 20, -13, -25, 3, -24, -9, 10],\n [12, 24, 24, -2, -8, -18, 2, -22, 12, -8, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11402", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-18, -6, 19, 9, -9, 11, -15, 22, 9, -8, 18],\n [-6, 21, -22, 0, -13, -5, 14, -2, 5, 20, 10],\n [16, -7, 7, 9, -3, -20, 18, 0, -25, -14, 24],\n [25, -16, 0, 1, 11, 15, 14, 1, -25, 22, -12],\n [11, -12, 6, 6, -7, -18, 9, 23, -12, -21, 5],\n [6, -2, -4, -5, 7, -11, 25, 22, -11, -23, 4],\n [15, -8, 15, -18, -7, 22, 1, -21, 19, 0, -12],\n [15, 24, -25, 6, 1, -8, -8, 15, 17, -15, -20],\n [25, 3, 10, -21, 21, 8, -11, -17, 7, -9, 11],\n [-15, 16, 12, 15, 4, 23, -13, -15, 23, -19, 25],\n [16, 25, 19, -5, -19, -4, 23, 6, -22, -11, 13]]\nB =\n[[20, -5, 11, 15, 15, 12, 15, 2, 17, -20, -24],\n [25, 5, 1, -17, -25, -11, -3, -9, -19, 14, -23],\n [8, -7, 4, -16, 16, 24, 13, 22, 21, -8, -3],\n [-3, -22, 16, 9, -17, -15, -25, -16, 21, 5, -12],\n [2, 21, 10, -2, 2, -22, -12, -21, 6, -9, 8],\n [11, 0, 24, 5, 2, 2, 3, 10, 0, -4, 9],\n [2, 18, -4, 24, 9, -8, -21, 3, -15, -2, 12],\n [19, 18, -1, -10, -6, -13, 9, -14, -22, 10, 4],\n [3, -8, 15, 3, -17, -16, -16, -18, 23, -7, 18],\n [18, 8, -23, -3, 21, -24, 20, -11, 9, 22, -19],\n [9, 9, -21, 23, -7, 5, -24, 8, 18, 20, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8323", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 8, -12, 9, 11, 0, 18, 16, -19, 10],\n [13, -5, -11, -13, -6, 25, 8, 0, -22, 8],\n [-6, -7, 11, 5, -7, 17, -24, 0, -4, -9],\n [-2, -14, -4, 14, -6, -23, -11, 17, -12, 22],\n [-16, -6, -3, -17, 13, 25, -16, 14, -23, -14],\n [-6, -1, -1, 2, -10, 25, 14, -5, -19, -14],\n [22, 16, 9, -8, -8, -15, 6, 7, 21, 19],\n [7, -11, -8, -4, -20, -4, -20, -11, 12, 4],\n [4, 20, 20, 6, -6, -9, 3, -15, 24, 17],\n [-6, 15, -6, -18, 24, -9, -14, 6, -4, 1]]\nB =\n[[11, 25, 21, 24, 0, 5, 3, 5, -2, -22],\n [20, -12, -13, -3, -18, -13, -25, 1, -9, 15],\n [-17, 1, 0, 23, -5, 17, 20, 22, -22, -12],\n [16, 19, -15, -22, 8, -21, 6, -10, 2, -24],\n [9, -18, -1, -3, 10, -1, -9, 24, 0, 20],\n [11, -5, -21, -2, -16, -24, 0, -17, 22, 4],\n [13, 10, 6, -18, -23, -22, -1, 23, 1, -10],\n [-3, 21, 0, -11, 25, 0, -1, 16, -15, -13],\n [18, -25, 10, 5, 25, -4, 10, -21, 19, -7],\n [22, 5, -3, -4, 5, -5, -23, -15, -14, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48948", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 22, -5, -19, 5, -15, -25, -12, 21, -3, 10],\n [17, -21, 14, -21, -24, 12, -20, -9, -21, -12, 10],\n [21, 20, 2, -14, 7, 14, -2, -8, -15, 20, -1],\n [25, -7, -22, -19, -8, -11, 16, 22, -11, -24, 15],\n [10, -19, 3, -1, -5, 23, -14, -18, -5, 15, -2],\n [10, -24, 3, -13, -1, -19, 21, 14, 10, 10, -15],\n [3, -9, -13, -17, 4, 16, -17, -5, -12, 1, 9],\n [1, 14, -1, -14, -18, 3, -21, 12, -7, 9, 20],\n [20, 19, 13, 15, 21, 21, -1, -8, -3, 14, 4],\n [-25, 0, -6, 15, 15, -5, 19, -6, -23, -9, 1]]\nB =\n[[-8, 13, -16, -6, -3, -18, 13, 11, -25, -19, -22],\n [2, -7, -20, 25, 0, 14, 11, -7, -9, 3, 23],\n [-5, -21, -9, 12, 15, 14, -19, 1, 5, 8, 0],\n [-20, 5, -14, -11, -25, 0, 11, -20, -2, 21, 10],\n [18, -7, -8, 12, -10, -9, -15, -22, -10, -17, -3],\n [-16, 0, 19, 10, 20, 13, -23, -6, -9, 20, 21],\n [2, -25, 10, -1, 7, 24, -5, 4, -13, 13, 24],\n [-3, -20, -7, -16, -10, -13, -4, -24, 16, 0, -21],\n [4, 11, -4, 25, -8, 3, -7, -22, -18, 1, 3],\n [18, 7, -19, 9, -22, 0, -13, -15, 13, 8, -1],\n [-5, 10, 15, 15, -24, -1, 6, -25, 7, -20, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1744", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -10, 12, -4, 17, 15, -19, -24, -25, -7],\n [-10, 8, 3, -18, 0, -15, -16, -22, 25, 8],\n [23, -3, -24, 7, 6, -6, -13, -23, 3, -8],\n [-20, -12, -22, 0, -14, 12, 2, 15, -20, 12],\n [18, -22, -18, 18, 5, 6, -22, 2, -19, -17],\n [-23, 7, -6, -7, -10, -23, -20, 12, 3, 24],\n [8, -12, 0, 8, -17, 7, -7, -17, 13, -20],\n [-3, 19, -17, 0, -16, -20, -12, -9, -22, 21],\n [-12, -2, -13, 11, -25, 12, 7, -9, -12, -9],\n [20, -10, -19, 16, 21, -14, -3, 14, 22, -20]]\nB =\n[[17, 12, 4, -4, -25, 24, -23, 14, 14, -25],\n [11, 10, 7, 22, 12, 19, 13, 18, 23, 23],\n [22, -15, 20, 6, -7, -5, -15, -4, -7, 2],\n [6, 0, -7, -11, -21, -14, 19, -3, 23, -9],\n [-15, 5, 15, 22, -18, 14, -4, 6, -16, 13],\n [12, 25, 19, -20, 9, -15, -8, 7, 15, -13],\n [13, -21, 10, 20, -1, -22, 21, 3, -2, 16],\n [-5, 15, -15, 1, 22, 22, 11, 15, -16, -15],\n [17, -17, 16, -23, 23, 23, 18, -20, 22, -1],\n [-19, 1, 24, -4, -7, 4, -4, -3, -14, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55445", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 3, -12, -17, 19, 16, 0, 3, -21, -4],\n [3, -13, -8, -19, -13, 19, 22, 22, 10, -5],\n [2, 18, 12, -23, 2, 19, -4, 17, 17, 7],\n [24, -13, 15, 19, 11, -21, 10, 14, -18, -24],\n [18, 17, 15, -9, -22, -7, 8, -9, -1, -21],\n [-9, -15, -10, -10, -20, 12, 13, -8, 20, -23],\n [-8, 20, -19, -15, 21, -11, 11, -12, -3, 10],\n [-9, -4, -2, 1, -9, -3, -19, -25, 24, 24],\n [1, 8, 11, 19, -11, 20, -8, -22, 3, -3],\n [17, -4, -6, -4, -14, 19, 9, 0, -12, 18],\n [-6, 10, -14, -17, 7, -2, -17, -2, 4, -21]]\nB =\n[[-18, -11, 19, -6, -11, -4, 6, -20, 12, 21, 7],\n [-15, 2, -23, 20, 23, -23, 3, -15, 11, 19, 17],\n [6, 24, -11, -22, 6, 17, 8, -16, 4, 15, -8],\n [-9, -21, -18, 14, 20, -21, -9, 13, 13, 16, 1],\n [6, -19, -4, -14, 24, -2, 23, 17, -9, -19, 22],\n [-9, -6, 1, 19, -16, -20, 22, 6, -18, 18, 18],\n [-7, -7, -4, 9, 2, 7, -20, -14, 7, 24, 8],\n [24, -14, 11, 10, -23, 10, 13, 2, 25, -15, -10],\n [-23, -4, 23, -11, 9, -6, 17, -22, 3, -6, 3],\n [-12, -25, -8, -9, -11, -1, -13, 7, -2, 8, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1711", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[11, 21, -1, 15, 6, -25, 3, 15, -15, -4],\n [-14, -25, -10, -10, 13, -23, 11, 10, 4, -23],\n [9, 5, 9, 24, -14, 23, 4, -1, -3, -9],\n [14, -25, -9, 15, 17, 19, 9, -8, -16, 21],\n [7, -20, -5, 21, 4, 0, -19, -5, 12, 21],\n [24, 19, 7, 24, -23, -14, 7, -2, -19, -18],\n [21, 11, 9, -19, -22, 8, 13, -4, 7, -15],\n [-17, 16, 25, -11, 2, 4, 16, 23, 18, -3],\n [-22, -12, -7, -2, 19, 10, -19, -8, 17, 19],\n [23, -11, 21, 23, -21, 15, 10, -6, -19, -16]]\nB =\n[[-25, 8, -3, 4, 16, 14, -7, 7, 8, -10],\n [8, 4, -2, 6, 10, -10, -7, 14, 23, -23],\n [-9, 5, -23, -14, 12, 20, 4, 14, -20, -13],\n [8, -21, -4, -17, 7, 1, -14, 22, -8, 21],\n [16, -17, -1, 4, 11, 16, -10, 1, -3, -20],\n [5, 16, -12, 1, -9, 17, -20, -12, -7, -16],\n [19, 5, 1, 13, 14, -23, 21, 2, 23, 22],\n [-2, 11, -15, -15, 25, 5, 21, -12, 17, -15],\n [18, -20, -25, -14, -24, 10, -17, -10, 15, 16],\n [8, -25, 7, -24, 3, 16, -17, -18, 2, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2187", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[18, -15, -25, 22, -20, 16, -13, 19, 1, -3],\n [8, 17, 6, 3, -20, 14, -12, -12, 7, 20],\n [-2, 9, -15, -12, 19, 19, 0, 22, 0, 14],\n [8, -11, 2, 5, -24, -4, 15, 9, -8, 18],\n [6, 9, 21, -20, -22, 4, 24, -14, 11, -18],\n [-5, 5, -4, -12, -17, 7, -10, -8, -10, 4],\n [18, -14, -12, 14, 11, 4, -5, -20, -2, -13],\n [20, 2, -9, -16, -13, 17, 7, -19, 11, -21],\n [7, 8, -12, 25, -5, -8, -12, 1, 13, 12],\n [22, 0, 2, -25, -13, 9, -4, 19, -23, 21]]\nB =\n[[24, -5, -25, 9, 12, -16, -2, 21, -18, 23],\n [-22, 8, 6, 18, -1, 5, 12, -16, 9, 14],\n [-13, -12, -22, 10, -23, 25, -23, -23, 22, -18],\n [21, 1, -17, -20, -6, 10, -16, 2, -22, -24],\n [12, -25, 17, -23, -21, -18, -10, -14, -6, -12],\n [2, 7, 17, 16, 20, 21, 21, -2, -24, 12],\n [15, -20, 7, -21, 18, -2, 2, 22, 7, 23],\n [-8, -1, 11, 3, -13, 23, -10, -13, -6, -23],\n [12, 17, 13, -12, -14, 7, -9, -8, 17, -14],\n [19, 0, 2, -13, 11, -14, -22, -6, -16, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23785", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[19, 21, 25, -16, 13, 2, -14, -4, -5, 19, -11],\n [-10, 13, -24, 24, -11, -11, -3, -8, 3, 17, 7],\n [3, 11, -9, 0, 17, -17, -5, 14, -25, -17, 20],\n [1, -12, 10, 5, 20, 9, 4, -8, -9, 15, -9],\n [24, 21, 2, -2, 11, 9, 2, -12, 10, 9, 24],\n [-20, 12, 25, -5, 2, -17, -13, -10, 21, 21, 16],\n [23, -3, 6, 20, 7, 19, 22, -5, -22, 9, 16],\n [20, 18, -15, 23, 11, 15, -4, 16, 23, -13, 10],\n [15, 11, -7, 14, 16, -2, 10, -22, -1, 5, -5],\n [4, -21, -22, 6, -21, 23, -10, 1, -14, -25, -24]]\nB =\n[[-18, 17, 8, 19, -1, 8, 20, 22, -25, -12],\n [6, 3, 22, -7, 4, -3, -21, -3, 9, -19],\n [5, -12, 1, 24, 14, -3, 18, 0, -19, -5],\n [-2, -9, 17, -17, -11, 21, -22, -2, 5, -14],\n [18, -18, -9, 23, 17, -17, -9, -10, 25, 9],\n [-13, -14, 25, 4, -23, -21, 11, -13, -13, 2],\n [21, 18, -21, -6, 2, 10, 19, 22, -8, -3],\n [1, -24, 16, 14, 24, 5, -8, 22, 21, -3],\n [-10, 0, -1, 11, 9, 21, -4, -17, 8, 19],\n [-3, 16, 1, -16, -10, -22, 5, -22, 21, 24],\n [-12, -10, 21, -7, -23, 16, 20, -23, 24, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1944", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-24, -6, 0, -7, 24, 7, 21, 8, 2, 22, 23],\n [-12, -12, 25, 3, 0, 7, -21, 16, -24, -17, -7],\n [1, 1, 0, 11, 11, -12, -23, -5, 20, 11, 14],\n [-18, -20, -24, -20, 13, -15, -21, -16, 21, 13, 12],\n [-19, 10, 21, -8, -16, -19, 10, 5, 24, -18, 14],\n [-16, 14, 25, 2, 0, -6, -24, 20, -3, -3, -9],\n [15, -5, 13, 0, 5, -18, 25, -19, -5, 24, -3],\n [-13, 16, 16, 2, 14, 1, 6, -6, -13, 16, -24],\n [17, -7, 23, -11, 1, -14, 14, -16, 2, -22, -22],\n [2, 16, 18, 3, -14, 23, -4, -22, -1, 24, -18],\n [3, -19, -18, -8, 0, -17, 10, 5, 23, -20, 10]]\nB =\n[[-11, -8, 23, 14, 25, 18, -16, -18, -1, 8],\n [10, -20, -3, 22, 10, -6, -3, -3, 10, 20],\n [19, -4, -3, 16, -17, 3, -5, 12, 11, 11],\n [4, -23, 7, 24, 22, 13, 17, -10, 2, -6],\n [17, -16, 25, 2, 19, 10, -18, 13, -2, -25],\n [-9, -6, -13, -13, 15, 5, -4, -11, -11, 8],\n [21, 10, 6, -13, -6, -1, -4, -23, 15, 3],\n [15, -22, -8, 14, -5, 5, 8, -9, 0, -1],\n [-22, 13, 2, 12, -24, -23, 3, 2, 12, 1],\n [-19, -5, 12, -12, 18, -3, 9, 4, 3, -17],\n [19, 25, -3, -21, -12, -11, -11, 9, -15, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2194", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 8) when matrix A is multiplied by matrix B?\nA =\n[[11, -18, 24, -5, -11, 19, -14, 7, 21, 13],\n [-18, -2, 6, -19, -1, 23, 11, 20, -9, 5],\n [-16, 17, 24, 24, -18, -25, -17, 16, 22, 0],\n [-16, 0, 19, -8, -23, 2, -9, -11, 9, 16],\n [-1, -13, -24, 9, -4, -8, -5, -15, 23, 17],\n [23, 21, 16, -22, -1, 8, 20, -21, 15, 7],\n [18, -19, 2, 18, -6, -16, 4, -23, 2, 5],\n [14, 13, 5, -24, 5, -8, -16, 6, 22, -18],\n [-5, -5, 17, 20, -5, 5, 1, 3, -12, -17],\n [-15, -19, -21, -18, 15, -23, 7, -7, 21, 22],\n [6, 15, -17, -15, 9, -14, -14, 8, 24, 25]]\nB =\n[[10, 8, 4, 15, -23, 8, 23, 6, -11, -18],\n [25, 13, 16, 23, -17, 0, -4, 25, 12, 4],\n [7, -12, -21, -16, 18, -1, -6, -15, 25, 25],\n [8, -10, -22, 10, 2, -16, -2, 22, -17, -20],\n [11, -16, 5, 10, 15, 8, -17, 3, 15, 12],\n [20, -25, 24, -14, -3, -25, 5, 12, -1, 12],\n [-22, 17, 0, 6, 2, 7, 1, -25, -18, -5],\n [-3, 6, -23, 18, -20, -20, 23, -1, 15, -12],\n [-7, -13, 11, 15, 4, 2, 16, 10, -19, -7],\n [23, -12, 23, 0, -6, -12, 13, 6, 21, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 3) of the result:\nA =\n[[2, 18, 19, -8, 4, 12, -20, -20, -23, -19],\n [18, 8, -8, -25, 1, -11, 17, -2, 1, 3],\n [-6, 14, 4, 18, -8, 11, -7, -11, 23, -3],\n [17, -20, 24, 20, 12, 14, 18, 4, 23, -16],\n [4, -25, 3, -1, 5, -11, -9, -18, 14, -16],\n [20, -11, 16, 2, 0, -6, -13, 5, 25, -12],\n [3, -12, 14, -12, -6, 15, 9, -21, -11, -13],\n [-25, -19, -14, 6, -5, -14, 10, 7, -22, 25],\n [23, -17, 13, -19, -8, -3, 10, -6, 5, -1],\n [10, -23, -6, -1, 4, 25, -5, 22, 9, 9],\n [4, -10, -3, -15, -14, 9, -21, 13, 15, 18]]\nB =\n[[12, -4, -9, -5, 1, 19, -13, 4, 20, -11, -8],\n [17, -15, 12, -19, 15, 8, 6, -13, -10, 0, 14],\n [15, 8, -5, -8, -6, -14, -5, 14, 6, 16, -17],\n [21, -15, -15, 12, 2, -9, 7, 23, 8, -2, -5],\n [17, 16, 9, 11, -15, 6, 13, 0, -8, 15, -14],\n [16, -6, 12, 8, 1, 8, -25, -11, -12, 17, 1],\n [-23, -24, -14, 25, 8, 3, 20, -3, 23, -17, -11],\n [-25, 11, 13, -16, -5, 9, 24, 8, 15, -15, 22],\n [20, -22, -16, 22, -16, 13, 5, 24, 23, -15, -22],\n [-3, 16, 15, -15, -21, -4, 13, 15, -15, -15, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-353", "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, 14, 8, 23, 2, -24, 25, -13, 16, -12],\n [-21, 9, 8, -17, -19, 10, 9, -12, -16, 25],\n [25, -9, -16, 6, -2, 13, -6, 8, 13, 14],\n [-11, 23, -12, 14, -11, -14, -8, -11, -20, -18],\n [20, 24, -8, 16, 5, 11, -23, -2, 5, 1],\n [-2, 14, -2, 19, -14, 13, 1, 3, -25, -25],\n [11, -14, -22, -19, 19, 22, 14, -11, 0, -1],\n [5, 16, -1, -1, -1, -9, -15, -5, -10, 21],\n [7, 12, -19, -15, -21, 8, -11, -1, -18, -25],\n [7, -12, 21, 17, -21, 0, 13, -4, -24, 9],\n [12, -23, -25, 8, 15, -15, 9, 25, -21, 3]]\nB =\n[[-9, 17, -25, 7, 20, 4, -13, 19, -17, -18],\n [-15, -23, 22, 0, -6, -14, -24, -7, -25, 3],\n [-3, 22, -20, 17, 8, 15, -7, 6, -7, 19],\n [4, 7, 16, 21, 13, -25, -2, 24, 9, -1],\n [-11, 1, -11, -10, 16, -4, -3, -25, -9, -15],\n [-24, 3, -20, -14, 24, -23, 19, -13, -24, 2],\n [-24, -25, 19, -10, -25, 5, 18, 6, -8, 20],\n [0, -2, 15, 22, 4, -18, -22, 20, 20, -1],\n [0, -16, -25, 5, 20, -7, -23, -4, 12, 13],\n [0, -11, -13, -16, -8, -21, 18, 19, 6, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62397", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[25, 10, 21, -6, -2, -11, 14, -3, 15, -12],\n [15, 17, 13, -15, -4, 9, 5, -9, -8, 17],\n [20, 19, -12, -1, -1, -4, 0, 16, -14, 17],\n [6, 12, -21, -9, -5, 19, -9, 6, 8, 16],\n [-21, 0, -22, 19, -6, 5, -18, -20, -9, 17],\n [-1, -22, -12, 13, -9, -11, -1, 25, -13, 9],\n [-16, 14, 4, -8, -23, -8, -5, -1, 18, 14],\n [21, -19, 25, 5, 9, -21, -17, -25, -7, 15],\n [6, -24, -8, -9, 9, -22, 21, -25, -12, -13],\n [22, -10, 7, 9, -21, 11, -14, 21, 13, -17],\n [-25, 11, -8, -25, 21, -19, -3, -9, 16, 13]]\nB =\n[[22, 12, 18, 23, 5, 17, -16, 13, 23, -14, 11],\n [7, 18, 7, 19, 18, 21, -18, -14, 1, 17, 11],\n [9, 1, -15, 24, -16, -6, 7, -8, -10, -25, 13],\n [-11, -21, -11, -4, 19, 12, 19, -1, 7, 10, -2],\n [-16, 20, -22, 25, -20, -17, 18, -12, 2, -8, 5],\n [9, 9, 10, -7, 7, 5, -1, 21, 21, 20, -19],\n [-22, 17, -24, -1, -1, 8, 13, 21, 11, -1, -4],\n [23, 11, -25, 6, 22, -11, 22, -12, -19, -23, -24],\n [10, 3, -16, -13, 13, 12, -7, 18, -8, -22, 21],\n [4, -17, 24, 9, 25, 11, -16, 17, 13, -25, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73875", "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, -21, 6, 19, 5, 13, 2, -19, 25, -24, 18],\n [-15, 22, 24, -7, 1, 22, -3, 5, -20, 23, -17],\n [7, -3, 3, 14, 4, -20, -9, -24, 13, -12, -10],\n [11, 15, -2, -22, 3, 20, 0, -7, -8, 2, 2],\n [5, -14, -5, 6, -22, -3, -13, -9, 5, -4, -17],\n [-20, -17, -24, -18, 22, 16, -17, 9, 12, -5, 12],\n [-14, 17, 20, 15, 20, -23, -2, 22, 2, 16, 17],\n [-17, -22, 1, -23, -15, -17, 25, 21, 4, 9, 7],\n [-11, 4, -15, 13, 5, -24, -19, 10, -17, 0, -16],\n [5, 16, -11, -9, 1, 10, -12, 2, -18, 24, 2],\n [18, 4, 15, 3, -14, 9, -7, 20, -21, -14, -20]]\nB =\n[[-21, -2, 15, -8, -1, 2, 23, -2, -3, -25, -12],\n [-7, 12, 7, 11, -20, 8, -3, 1, -12, -4, 12],\n [-12, -4, 19, -17, -15, 18, -14, -1, -24, -17, 24],\n [19, 9, 6, -12, 3, -7, 10, 20, -21, -9, 8],\n [17, -4, 24, -15, 4, 24, 3, -11, 10, 13, -9],\n [1, -24, -20, -22, -3, 21, 5, 22, -25, 18, 25],\n [21, -13, -20, 8, 11, -10, 6, 18, -11, -22, 17],\n [-14, -16, -24, -2, -10, 9, 14, -9, 21, -18, 3],\n [8, 16, 5, -9, -22, -3, -15, -3, -21, 13, 6],\n [-21, 13, -9, -3, 8, 4, 1, 7, -10, 18, 5],\n [-22, -6, 22, 6, 8, 25, 19, 25, -10, 21, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62758", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[23, 14, 3, -23, 16, -19, 16, 14, -5, 9],\n [11, 3, 5, -9, 17, -5, 2, -3, 5, 2],\n [21, -15, -25, -2, -13, 17, 13, 1, -25, -17],\n [14, -5, -16, -17, -23, 3, -4, 12, 16, 15],\n [17, 4, -2, -23, -18, 19, 0, 21, 9, 13],\n [25, 5, 7, 15, 9, -10, -15, 23, -11, -1],\n [-12, -17, -16, -3, 19, -20, 2, -13, 19, -13],\n [20, 24, 4, -21, -19, 0, -3, 2, -2, 7],\n [-13, 23, 8, -13, 5, 3, 5, 22, 5, -2],\n [20, 4, -19, -6, -24, -8, -14, -5, 13, -7]]\nB =\n[[-20, -17, -22, -6, -23, -17, 1, -21, -22, -7, 11],\n [-10, -4, -10, -5, 8, -21, -10, -24, -13, 6, 25],\n [-12, -5, -22, 16, -16, 20, -10, -15, 7, -4, 24],\n [-15, 2, 8, 15, -15, -19, -11, -6, -10, 3, -21],\n [-5, -11, -20, 23, -3, 18, 25, 16, 19, 3, -25],\n [-21, -17, -11, 23, 7, -2, 11, -20, 13, -15, -1],\n [-8, -4, 15, -12, -16, -9, 3, -20, -19, -21, 1],\n [9, -9, -19, -25, -11, 12, 23, -15, 0, 17, 23],\n [17, -12, -13, -22, 22, 11, 7, -12, -13, -9, 21],\n [13, 22, -20, -4, -3, 11, 10, 15, 17, 19, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12361", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -25, -22, 21, -22, 7, 17, 8, 4, 13],\n [-11, 6, 0, 13, -18, 0, -9, 4, 9, -14],\n [-20, 3, -12, -25, 1, 13, -20, 7, 21, 22],\n [18, 15, 5, 23, 11, 6, 7, -6, -21, 21],\n [-9, 7, 16, -3, -20, 24, 3, 12, -22, 12],\n [-19, -11, -5, -10, -20, -13, -18, 7, -23, 21],\n [20, -3, -18, -6, 4, 20, -15, -6, -24, 8],\n [-9, -11, -25, 21, -21, 8, -21, 14, 19, -18],\n [-22, 17, -14, 10, 18, 4, -7, -4, 2, 4],\n [-20, 15, -6, 24, -11, 25, -18, 11, 2, -15],\n [-20, 1, 16, -15, -7, -14, -9, -18, 5, -7]]\nB =\n[[17, 25, -6, -24, -20, 15, 1, 22, -8, -6],\n [-17, -23, 14, 12, -8, -14, 22, -7, 0, 7],\n [7, -20, -17, -16, 18, 1, -9, -6, -13, 5],\n [16, -9, 25, 23, -15, 1, -13, 20, 25, 17],\n [14, 10, -11, -4, -1, -7, 3, -3, -7, -23],\n [-7, -13, 7, -2, 12, 9, 7, 19, 23, -24],\n [-7, 13, 21, 7, 1, 24, -24, 7, 23, -19],\n [-16, 2, -1, 5, 18, -13, 5, 3, 14, -17],\n [5, 15, 3, -22, -9, -9, -7, 25, 22, -23],\n [7, 11, 16, 24, -8, -5, -2, -10, 5, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9791", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 9) of the product matrix AB given:\nA =\n[[-23, -9, 7, 25, -19, 14, -4, -19, 7, -21],\n [-13, 4, -16, -12, -19, 5, -22, 20, 22, 16],\n [-22, -12, -11, 9, 8, -12, -13, -2, -3, 25],\n [-10, 9, 1, 8, -5, -18, 7, 2, 1, -9],\n [18, -12, 4, 20, -9, 12, -23, -20, -1, -20],\n [10, 13, 10, 24, -23, 9, 21, -7, -15, -11],\n [11, 6, 5, -4, -19, -25, 6, -5, 8, 13],\n [-18, 1, 17, -3, -10, -12, 25, -1, -21, -23],\n [-22, -15, -18, 7, -4, -11, -14, -2, -19, -2],\n [-12, -13, -16, -25, 25, -21, 8, 19, 21, 17],\n [-18, 25, -12, 18, 11, -9, 17, -4, 18, -25]]\nB =\n[[23, 13, -14, 4, 3, -10, 18, -24, 25, -11],\n [20, -18, -20, 12, -21, -12, -22, 21, -23, 6],\n [-2, 25, -2, 4, 23, -14, -1, 24, -8, -8],\n [3, 21, 18, -5, 22, -24, 6, 4, 19, 25],\n [21, 2, -1, 13, 3, -18, 20, 5, 23, -24],\n [-8, -5, 11, 12, -4, 4, -7, -5, -12, -13],\n [9, -7, -22, 20, -5, -2, 16, 19, -13, -4],\n [-3, 23, 22, -9, -6, 6, 14, 24, 15, -11],\n [16, -15, 11, 14, -22, 12, -9, 3, 12, -11],\n [2, -3, -23, -5, 3, -10, 17, -2, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -5, -13, -1, 25, -20, -4, -11, 17, -8, 5],\n [25, -15, -1, 15, -1, -8, 9, 15, 18, -12, 19],\n [-6, 17, 11, 8, 13, 20, 22, 0, 14, -6, 16],\n [-18, 17, -3, 25, 9, -14, 25, -23, -19, 11, 18],\n [-6, -2, -1, -7, 1, -13, -4, 10, -3, -6, 4],\n [-7, 1, 13, 19, 25, -24, 14, 8, -17, -5, -6],\n [18, 22, -18, 24, -5, -10, -25, -24, -21, 9, -16],\n [19, -16, 0, -11, 23, 13, 13, -23, -11, 20, 13],\n [11, 14, -10, 24, -3, -7, -16, -22, 7, 13, -13],\n [-15, 17, -18, 3, 8, 11, -5, 14, 25, -8, 3]]\nB =\n[[4, 20, 24, -9, -3, -20, 1, 9, 11, -1, 23],\n [-23, 14, 9, 14, 23, -22, 15, -21, -25, 5, 17],\n [-17, 1, 12, -10, -20, -2, -1, 8, 21, 9, -5],\n [6, -13, 12, 24, 4, -14, 7, 4, 18, -3, -1],\n [4, 6, 4, 2, -24, -16, 10, -17, -19, -14, 8],\n [-11, 23, 25, -14, 22, -20, 0, -21, 23, 25, -16],\n [-5, 2, 15, -15, 16, 21, -12, -10, 18, 21, -5],\n [-12, -14, 0, 23, -17, -23, -2, 23, 15, -7, -14],\n [12, -24, 2, 16, -25, 3, -23, -3, -18, -12, 2],\n [16, -5, -23, 20, 25, -12, -7, -22, -3, -19, 15],\n [-10, -25, -6, 0, -22, 11, -8, -9, -4, 18, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 13, 16, -18, 20, 0, -23, -1, 11, 21, 22],\n [10, -11, -19, 5, 20, -11, -13, -4, 24, 18, -3],\n [-23, -6, -7, 20, 22, 4, 16, 6, 15, 13, 4],\n [-2, 11, -14, 18, -9, -17, -11, -1, -14, -12, -6],\n [20, 23, 19, 25, 11, 1, 4, -1, 14, 2, -9],\n [0, -19, 21, 13, -6, 17, -18, 2, -11, -9, 1],\n [0, 16, -11, -13, -6, -9, -1, 21, -5, -18, -9],\n [10, 8, 18, 22, -16, 5, -12, -15, -15, 3, -10],\n [11, -7, -4, -2, 17, 18, 14, 13, -17, 3, 22],\n [7, 16, 1, 2, 8, 19, 10, 6, -8, 0, -10]]\nB =\n[[6, 7, -2, 17, -20, -12, -6, 0, -12, 14],\n [22, 18, 21, -2, -19, -23, 14, 0, -6, -1],\n [4, 20, 6, -19, -5, -5, 23, -3, -14, -22],\n [-7, -21, -25, 5, 17, 22, -24, -24, -15, -17],\n [-23, 7, -3, 18, -8, -16, 5, -10, 22, 19],\n [1, -22, 17, -25, 20, -14, 20, 14, -17, 17],\n [3, 20, 11, -25, -7, -13, 20, -17, -4, -1],\n [-17, 9, 20, 20, 16, -17, -19, -9, -14, -17],\n [-20, -2, -7, -9, -12, -25, 21, -8, 4, 23],\n [-2, -10, 15, -8, -15, 25, 11, 8, 12, -24],\n [10, 1, -18, -10, -11, -25, 0, 5, 10, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53080", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-25, -22, -16, 7, -19, -11, -17, 22, -21, 7],\n [16, 23, 3, -1, -7, -9, 3, -5, -11, 0],\n [-23, 16, 20, 4, -9, 23, -20, -13, -19, 15],\n [-10, -21, -9, -25, -17, 24, 24, -13, 2, 15],\n [-5, -19, -21, -18, -3, 7, -25, 4, -2, -3],\n [-5, -13, 24, 8, 15, -3, 12, -5, 25, -4],\n [21, 15, 20, 15, 3, -3, -4, 8, -18, 21],\n [-2, 18, -17, 5, -15, 23, 20, 12, 5, -23],\n [-1, -13, -10, 18, -4, -13, -7, 2, -5, 0],\n [15, 16, 25, -9, -19, 0, -2, -9, -12, -22]]\nB =\n[[-10, -6, 7, 12, 23, -8, 2, -8, -14, 11],\n [23, -6, -21, 16, 10, -15, 25, 15, 6, -25],\n [-4, -4, -13, 21, -21, 5, -10, 4, 0, -7],\n [-17, -7, -21, -16, 7, -1, -18, 0, 6, -3],\n [-14, 12, 6, 6, 0, -24, 4, 13, 9, -21],\n [-6, -9, -3, 7, 14, 20, 19, -14, 2, -21],\n [-4, -24, 15, -24, 7, -21, -2, -7, 12, 3],\n [15, 18, -18, 12, 24, -22, -19, -1, -24, -19],\n [20, -18, 21, 3, 13, -5, -5, 20, -1, 5],\n [1, 7, 13, -12, 8, 5, 22, 11, -20, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3218", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 6, -21, -7, -17, -9, 12, -25, -13, -5],\n [-12, -7, -12, 20, -18, 14, -1, -8, -13, -2],\n [-17, 0, -3, 8, -13, 14, 13, -12, 3, 12],\n [1, -4, 15, -5, 17, -1, 3, -4, -13, 2],\n [-13, -4, 20, 23, 1, 4, 2, 21, 15, 15],\n [-6, 9, 25, 24, -18, 24, 6, 21, 17, 13],\n [-5, -4, -2, -5, 18, 10, -22, 18, -15, -18],\n [-22, -16, -14, 7, 11, -25, -9, -12, 8, 14],\n [1, -2, -8, -10, 25, -10, 9, -22, 8, 7],\n [-3, -16, -15, -22, 2, -14, -9, -21, 6, -24]]\nB =\n[[-13, -5, -13, 6, 11, 15, -6, -25, 21, 21],\n [-3, -13, -21, 15, 9, -22, 3, -24, 22, -23],\n [-4, -12, -13, -24, -17, -10, -14, 24, 19, -24],\n [7, 12, -5, -11, -12, -15, -8, 25, -1, -18],\n [-24, -6, 0, 14, -16, -18, 14, 4, 13, -20],\n [8, 24, 21, -10, -7, -23, -13, -8, 15, 15],\n [24, -19, -4, 5, -7, -7, 21, -11, -18, 20],\n [22, 3, 22, 24, -9, 8, 16, 20, -5, 3],\n [-18, -20, -22, -2, 17, -6, 21, -7, -9, -2],\n [11, 1, -3, -12, -15, -3, -18, -14, 19, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-25, -22, 11, -22, 17, -13, 5, 5, 6, 14],\n [-22, 13, 19, -19, 20, 23, 24, 23, 23, -10],\n [12, 17, -25, -20, -4, 4, -18, 18, -23, -16],\n [-1, 16, -18, 12, 10, 15, 21, 22, -3, 5],\n [-24, -22, 8, -18, 6, -15, -3, -20, -16, -22],\n [-23, -14, -25, -12, 2, -15, 4, 14, 19, -24],\n [-20, -2, -12, 10, -24, -23, 0, 3, -3, 24],\n [-19, -22, -11, -3, 18, 14, -4, 14, -19, 24],\n [-8, 12, -1, 22, -11, -20, 19, 15, -14, -10],\n [0, 13, -18, 1, 1, 25, -25, 17, 15, 19]]\nB =\n[[6, -23, 4, -9, -17, 24, 22, -19, 6, 3, -8],\n [21, -21, 8, 13, -11, 24, -20, 14, 18, 6, -23],\n [-1, 13, 25, -9, 21, -15, 9, -20, -1, -9, 16],\n [4, -16, 2, -23, -8, -10, 16, 0, -7, -9, 15],\n [19, 2, -6, 12, 4, -13, -13, 6, 1, -3, 11],\n [6, -10, -15, -6, -15, 23, -1, 19, 10, 20, 19],\n [9, -1, -24, 24, 1, 24, 10, -7, 16, 0, 7],\n [-22, -24, 4, -17, 15, -24, 3, -16, 14, -18, 23],\n [-24, 3, -7, -5, -18, 22, 19, -2, 6, -11, -20],\n [-8, 17, -13, -21, 18, 19, -10, -6, -23, -21, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3873", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[15, -16, -9, 5, 4, -12, -12, 21, 3, -21, -22],\n [6, 1, 7, -10, -19, -13, 24, -3, -19, 12, 15],\n [-10, -3, 14, 10, -6, -3, 22, -12, 10, 20, -22],\n [8, -8, -5, 3, -3, -9, 17, 24, -7, -6, 3],\n [-3, 1, -8, 2, -17, -1, 25, -7, 14, 1, -9],\n [-21, -21, 15, 3, 8, 14, -4, 4, 2, 18, 6],\n [11, 23, 4, 8, 18, 6, 11, -18, -1, 18, 8],\n [-7, -2, 17, 5, -4, -23, -25, -16, -20, 16, 21],\n [-19, -17, 7, -4, -13, 24, 13, 4, 15, 23, 12],\n [17, 24, 5, 17, 0, 8, 23, -10, -9, -24, 0],\n [20, -20, 12, -7, -6, -17, -24, 11, 4, 7, 0]]\nB =\n[[22, 10, -11, 8, 17, -11, -13, -1, 4, -10],\n [13, 20, 16, -23, -15, 5, -19, -4, 16, 14],\n [-12, -19, 22, 3, 25, 23, -12, -7, -19, 20],\n [-4, 1, 18, -14, 7, -17, -12, -8, -8, 24],\n [-17, 17, 17, -19, 7, 16, 7, 13, -15, -25],\n [-15, 0, -19, 8, -18, 3, 9, -18, 9, 20],\n [-7, 1, 14, 16, 18, 20, -6, 15, -11, -9],\n [-22, -24, -19, -7, -14, -12, -21, 0, -1, -16],\n [-6, -14, -19, -2, -25, -3, 24, -17, -14, -22],\n [16, 14, -22, -20, 18, -25, -11, -18, -13, -8],\n [-3, 21, -1, 24, 3, -15, 0, 24, -17, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[25, 24, -9, 7, -7, 23, 11, 12, -2, 16, 1],\n [3, -5, 2, 5, 7, 25, -2, 13, -7, 3, -16],\n [-9, 7, 17, -6, -21, 13, 20, -25, 10, 10, 25],\n [-5, -5, -11, 24, -20, 2, -9, -22, 16, 16, 20],\n [12, -10, 20, 18, 14, -15, -2, 3, 4, -12, -4],\n [-2, -25, -7, 6, 22, -12, -21, -19, 15, -6, -9],\n [-22, -21, -23, 23, 3, 12, 22, 4, 12, 25, -4],\n [16, -16, -2, -15, 23, -5, 25, -19, 7, -4, -4],\n [5, 14, -23, 12, -1, 16, 2, -9, -18, -22, -6],\n [-18, -2, 15, 23, 0, 2, 8, -18, 11, 22, 21],\n [-22, -8, 8, 2, 20, 22, 12, 24, -21, 3, 10]]\nB =\n[[17, -20, 4, 5, 13, 20, -12, 23, 19, 20, 0],\n [0, 19, 24, -16, -19, -10, -12, 15, 0, 16, -25],\n [12, 16, 25, 4, -3, -24, -22, 0, 17, 20, -12],\n [18, -12, 17, -25, 2, -6, -7, -23, 7, 10, -12],\n [-18, 13, -6, 23, 18, 23, -4, 21, 0, 9, 22],\n [12, -12, -3, 24, 25, -21, -25, 0, -11, 25, -14],\n [-5, 11, -9, -17, -25, 5, -9, -6, -22, -1, 8],\n [-19, 1, -24, 19, -21, -22, 22, -23, -1, 23, 0],\n [1, 18, 14, 7, -17, 9, 12, -18, -13, -22, 15],\n [-21, 18, 17, -12, -14, -6, -21, -1, -13, -3, 16],\n [19, 11, 23, 5, 12, 1, -16, 15, 20, -24, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80425", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 10) of the product of the following matrices:\nA =\n[[-6, 2, -11, 9, -25, 21, -2, 3, 17, 0, -7],\n [8, -6, -25, -10, 15, -13, -2, -2, -1, 9, 5],\n [13, -9, 19, 23, 14, 13, -12, 2, -4, 15, -18],\n [-25, -15, 22, 3, -11, 15, -17, 18, -9, 1, -7],\n [9, -23, 16, 14, 25, -7, 20, -3, -19, -18, -21],\n [3, 12, 3, 15, 3, 9, -3, -14, -9, 20, -11],\n [-7, -3, -7, 3, 14, -9, 17, 25, -21, 9, 12],\n [-15, -4, -24, -13, 0, 16, 22, 11, 25, 7, -4],\n [-19, 2, 24, 12, -21, 7, -24, 15, 13, -21, -3],\n [-3, 11, 9, -22, -20, 18, -20, 2, -13, -19, 12]]\nB =\n[[6, 11, 22, -4, 9, 22, 14, -7, -2, 7],\n [-25, -6, -19, 21, 24, 17, -24, 12, 24, 6],\n [-21, 14, 15, 18, -24, 17, 25, -23, -12, 24],\n [-4, -19, 7, 10, -11, -8, 7, -18, -11, 5],\n [2, 20, -20, 18, 10, 22, 14, -17, 13, -22],\n [13, 15, -9, 25, -9, -7, -10, -5, 6, 1],\n [-5, -13, 11, -9, -4, 11, -6, 23, -5, 19],\n [-15, 17, -8, -22, 10, 14, 24, -24, -21, 25],\n [11, 8, 10, 20, -19, 15, 5, 4, -13, 7],\n [3, -15, -14, 3, 1, 1, 21, -13, -6, -22],\n [-15, -9, 14, 24, -12, -12, 3, 1, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[16, -23, -21, -13, -21, 8, 22, -19, -17, 8, 2],\n [-24, 24, 2, 19, 12, -22, -2, -24, 12, 19, 7],\n [-2, 7, 8, -9, 20, -6, 15, -6, -3, 18, -21],\n [4, -5, 12, 12, -9, -11, -7, 1, -8, -3, 18],\n [-17, -7, 13, 21, 11, -24, 5, 6, -9, 17, 0],\n [16, -5, -7, -11, 13, 15, -22, -17, 7, 13, 1],\n [22, -23, -24, -25, -22, -7, -25, 10, -11, 16, -25],\n [-4, -13, -14, -8, -24, 19, 21, -19, -7, 8, -25],\n [20, 8, -8, 21, -21, -12, 3, -2, -15, 1, -4],\n [19, -15, -5, 10, -22, 18, 16, -9, -24, -6, -15],\n [8, -24, 19, -1, -13, -9, 6, 21, -12, -5, 7]]\nB =\n[[-10, 22, -4, -15, 3, 0, -5, -7, 22, 13, -11],\n [5, 16, 24, 23, 5, 24, 1, -19, -17, -12, 4],\n [-25, -9, -25, 17, -8, 19, -2, 19, -8, -6, 2],\n [24, 12, -13, 12, 14, 24, -25, -14, 7, 18, 20],\n [11, -14, -5, -24, -20, 22, -24, -3, 9, 21, 24],\n [17, 12, -9, -21, -16, -15, 14, 5, -23, -3, 5],\n [23, 12, 7, -3, 21, -2, -9, -18, 8, -11, -10],\n [1, 1, -9, -4, -5, -21, 12, 3, -20, -15, 0],\n [14, -11, 10, -18, 7, 10, 22, -2, -18, 6, -2],\n [-7, 9, -3, 6, 21, 24, -1, -9, -25, 25, 15],\n [22, 16, 13, 22, 16, 16, -9, 18, -9, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "772", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 8) of the product matrix AB given:\nA =\n[[-8, 13, 18, 5, 14, -8, 23, 21, 17, -14],\n [13, 23, -11, 8, 11, -12, -23, -18, 4, 21],\n [11, -23, -8, -21, -25, -10, -4, 10, 11, 17],\n [20, 18, -14, 11, -16, 9, -18, -9, -15, -1],\n [22, -15, -5, 0, 6, -9, 24, 6, -16, -7],\n [-20, -17, 13, -13, -11, 2, -25, -17, 24, -11],\n [0, -1, -16, 6, 11, 8, 15, 21, 19, -19],\n [3, 7, 11, 11, -3, 4, -3, -6, -9, 13],\n [-9, -25, 3, 0, -24, 19, 25, 9, -14, -16],\n [-13, 13, -1, 24, 11, -20, 1, -12, 1, -4],\n [10, -19, 19, 19, -20, 5, -9, -19, -13, 23]]\nB =\n[[-4, -11, 17, 24, 5, -15, -5, -25, 17, -3, 3],\n [-25, 2, 13, -18, 9, 18, 23, -3, -8, -6, -18],\n [8, -7, 22, -9, 13, 24, 1, -8, -25, 23, 6],\n [-6, -22, 14, 3, -21, 10, -1, -20, -13, -9, 4],\n [13, -14, -2, -22, -23, -12, 5, -9, -18, -1, -15],\n [0, 0, 18, 4, 23, -16, 1, -17, 0, -22, -21],\n [11, -10, -13, -24, -8, 1, 11, 11, 23, -17, -24],\n [4, -8, 14, 18, 12, -13, -2, 0, 5, -15, -18],\n [6, -1, -5, 5, -7, -12, -2, -12, -14, -10, 5],\n [4, -4, 24, 9, -9, 13, -2, 16, 0, -3, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-17, 8, 22, 11, -18, 14, -11, 0, -1, -8],\n [-14, -10, 2, 2, -2, 12, -23, -3, -8, 8],\n [0, 24, -23, 13, 8, 3, -4, 1, 19, 14],\n [2, -2, -6, 11, 8, 1, 23, -10, -5, -11],\n [-13, -10, 16, 3, 10, 18, -11, -15, -15, 2],\n [-9, -25, 18, -6, 24, 9, -12, 9, -23, 5],\n [23, 13, 11, 6, -19, -23, -1, 4, 3, -9],\n [-5, -10, 24, -1, 16, -3, 3, -19, -22, -23],\n [20, -20, -25, 9, 5, -17, 10, 1, 5, 11],\n [1, -12, -2, -23, 14, -17, 19, -3, 17, -4]]\nB =\n[[5, 24, -7, 6, -14, -20, 6, -18, 9, -11, 2],\n [23, -4, 20, 5, -17, 17, -23, -17, -23, 24, -7],\n [-22, -20, 15, -14, 8, 1, -17, 2, 16, -2, 18],\n [-4, 11, 8, 1, 2, -14, 13, -8, 8, -20, 2],\n [-25, -7, -8, -10, 12, 23, -22, 4, -9, -2, -14],\n [-15, 13, 6, -17, -15, -10, -16, -11, 5, -7, -19],\n [-22, -7, -15, 18, 9, -22, -8, -11, -25, -7, 8],\n [5, -8, -10, 1, -9, -7, -3, 16, 17, -22, -11],\n [-19, 20, -1, 20, -1, 5, -12, -14, -4, -25, 3],\n [-21, -7, -4, 12, 19, -12, -10, -20, 2, -25, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1103", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-24, 3, -21, 9, 6, -11, -16, -8, 5, -8, 18],\n [-20, 7, -21, -6, 0, -9, 16, 15, -12, -8, 1],\n [5, -11, 17, 7, -10, -15, -24, -13, -23, -6, -24],\n [-3, -2, 1, -4, -25, 5, -13, 11, -5, 18, 14],\n [1, 11, -6, 14, 10, 19, -6, 23, 10, 13, -25],\n [22, 16, -18, 23, -24, 18, -3, 25, -5, 9, -25],\n [-6, 12, 21, 23, -24, -10, -2, 6, 3, -21, -14],\n [-23, -24, 12, 5, -20, 3, -6, -22, 3, -16, 9],\n [1, -25, 15, -1, -3, 25, 24, -6, -15, 15, -1],\n [-19, -22, -20, -13, 22, 8, -6, 24, 8, -13, -20]]\nB =\n[[-17, 4, 1, -17, -16, 12, -25, -23, 8, 23],\n [10, 7, 18, 22, 19, -23, 5, -20, -10, 17],\n [-13, 7, -25, 20, -17, -4, 24, 21, 8, 8],\n [-25, 11, 15, -3, -8, -14, 20, -21, -6, -7],\n [-24, -22, 1, -18, 8, 12, -19, 3, 14, 18],\n [-8, 16, 15, -15, -18, -24, -17, 13, 15, -20],\n [3, -12, 14, -11, 25, 21, 22, 21, -21, -15],\n [11, -3, 23, -8, -16, 21, -5, -20, 22, -14],\n [12, -20, -14, 13, -24, 1, -13, -14, -23, -1],\n [-2, 20, 7, -19, -15, -20, 6, -1, 24, -21],\n [18, -14, -5, 24, 21, 8, -18, -11, -9, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "703", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -3, 12, 20, 23, -20, -6, 7, 0, 22, 12],\n [-7, -22, -18, 2, 9, 2, 17, -6, 25, 25, 0],\n [22, 6, 25, 4, -4, 25, 6, -6, -12, -14, -25],\n [17, 17, -3, 2, -4, 23, -16, 10, -1, 6, -3],\n [-7, 20, -9, 23, 24, 16, 24, -2, -20, -7, 25],\n [-7, 19, 25, -14, 6, -1, 6, -22, 13, -24, -3],\n [-19, -6, 10, -9, -4, -19, 14, -3, -12, -16, 20],\n [-25, 20, -9, 14, -12, 23, -9, -16, -8, 9, -16],\n [17, -6, -10, -9, 13, 24, 2, -17, -6, -20, -13],\n [-17, 22, 7, 9, -4, -3, 20, -1, 10, -19, -11]]\nB =\n[[3, -18, 11, -16, -16, 24, 19, -13, -7, 22],\n [23, -3, -11, -9, -16, 14, 20, 7, 19, -8],\n [-22, -22, -11, 5, -24, -14, 7, 20, 24, -6],\n [-24, 13, -25, -6, -2, -12, 23, 11, 15, 3],\n [-5, 6, 12, -3, 3, -12, -19, -3, -9, 8],\n [6, 11, -21, 16, 19, -6, -18, -18, -2, -1],\n [20, 1, 6, -19, -14, 22, -19, 19, 19, -18],\n [-22, 2, 20, 22, -10, 14, 8, 1, 0, 17],\n [-15, -25, -5, 6, -15, -3, -22, -24, -6, 2],\n [-17, 17, -21, -16, -17, -23, 5, 9, -22, -19],\n [-10, -10, 2, 13, 24, -13, 18, -6, 19, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-864", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 6, -4, 18, -21, 8, 14, 6, -2, 11],\n [-18, 21, -8, 18, -17, -24, -25, -19, 16, -6],\n [25, -15, -6, 19, -24, 7, -4, 2, 5, 9],\n [-16, -4, -9, 17, 12, 24, -19, 11, -13, 3],\n [0, -23, 13, -16, 11, -3, -6, 8, -22, 6],\n [19, 16, -8, -25, -3, 18, -13, -22, 12, -17],\n [11, 20, 5, -24, 24, -10, 15, -5, -5, -24],\n [10, -19, -11, 11, -17, -25, -10, -3, -2, 20],\n [-2, -16, 13, 22, -15, 4, 14, 7, -19, -20],\n [17, 24, -18, -10, 23, -5, -22, 21, 1, 9],\n [-25, -10, 5, 12, -8, 11, -16, 23, -3, -7]]\nB =\n[[23, 16, -19, 4, 12, 15, 17, 18, -8, -20, -14],\n [-15, 22, -24, 2, -8, -3, -13, 18, -6, -2, -13],\n [1, -11, -5, 13, -24, -16, -8, 25, 11, 22, -17],\n [-14, -8, 19, -23, -6, 9, 4, -23, -11, -8, 9],\n [-16, 17, 14, -18, 16, 2, 7, -9, -13, 13, -7],\n [20, 13, 23, -11, 11, -15, 7, -14, -10, -25, -4],\n [-9, 22, 21, -7, -24, -10, 13, -5, 19, -25, -3],\n [16, -3, -16, -6, -14, 5, 15, -12, -20, 11, 18],\n [0, -11, -24, -25, -3, -23, -23, 3, -4, -12, -14],\n [-10, 19, 6, -22, -20, 11, 12, -4, 13, -6, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66865", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -2, 1, -6, 16, -16, -6, -15, -25, 24],\n [-1, 17, -14, -16, -9, -20, -12, -8, 9, 0],\n [-19, 16, -14, -18, -13, -2, 5, -22, -12, 14],\n [-23, 11, -25, 5, 3, -14, -21, -13, -19, -4],\n [16, 24, 11, 18, -15, -7, -17, -15, 18, -19],\n [6, -5, -19, 3, -2, 16, -2, 14, 1, 19],\n [-20, -19, 1, -16, 15, -23, -4, -15, 5, 16],\n [20, -22, -24, -5, 21, 10, -2, -23, 20, 5],\n [-16, -16, 11, -15, -13, -6, 20, 9, 1, -23],\n [-3, -5, 5, 19, -5, 18, -18, 2, -4, 0]]\nB =\n[[21, 20, -18, 5, -23, -8, -14, 13, 5, 14, 9],\n [19, 11, 22, -6, -8, 3, -8, 11, -16, -21, 8],\n [14, 7, -7, 24, 21, -12, 0, -20, 13, -4, -22],\n [8, 22, -22, -24, -3, -6, 1, -13, 9, 15, -7],\n [-5, -17, -15, 9, -16, 15, -20, 13, -5, -12, 17],\n [24, 13, 13, 19, 22, -14, 8, 13, 25, -16, -16],\n [12, -1, -14, -25, 0, 10, -13, -7, 11, 5, 3],\n [1, -7, -14, -2, 13, -5, -2, -4, 13, 5, -7],\n [-13, 22, 8, 24, 16, 8, 1, 8, 13, 1, 7],\n [-22, 2, -19, 0, 0, 24, -5, -9, 6, 1, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4042", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-24, 18, 23, 0, 2, -5, 14, 22, 13, 9],\n [0, -5, -20, 6, -24, -14, -8, -12, -20, -24],\n [-3, -10, -8, -24, -24, 19, 19, -3, 19, 12],\n [22, -24, -16, -10, 17, 24, 18, -4, 17, -10],\n [21, 7, 14, -2, -1, 15, -15, 13, -14, 13],\n [-20, 20, -22, -13, 22, -24, -15, 1, 7, 20],\n [21, 15, -2, -4, -3, 10, -25, -2, -13, -8],\n [-19, 14, -22, -6, 20, -16, -19, 13, 20, 17],\n [-1, -7, 18, 14, -6, 3, -21, 4, 2, 13],\n [23, 19, 14, 2, 0, -25, -15, -25, 19, -12]]\nB =\n[[-5, -25, -12, -16, 0, 9, -6, -23, -1, 24],\n [-2, 25, -20, -24, 4, -22, 8, -6, 9, 24],\n [24, -8, 11, -21, -11, 14, 8, 14, 12, -7],\n [17, -5, -22, -5, 5, 0, -16, -18, -8, -8],\n [-13, -24, -16, 23, 23, 19, 14, -12, -23, 18],\n [-25, -11, 19, 8, 10, 13, -16, -13, 5, -1],\n [-5, 20, -18, -18, -8, 22, -9, 13, -16, -14],\n [-21, -6, 16, 6, 11, 8, 11, 1, -19, -10],\n [-11, -25, -8, -7, -1, -25, 6, 6, 15, 16],\n [-16, 21, 13, 5, -5, -25, 13, -2, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2747", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 9) of the product matrix AB given:\nA =\n[[11, -3, -7, -8, 20, 7, -15, -15, 6, 9],\n [3, -23, -7, -22, 9, 9, 19, -15, -7, 20],\n [24, 25, -1, -6, -5, -15, -10, 0, -16, -19],\n [-21, -25, 4, 14, -2, 19, -6, 1, 12, 23],\n [-11, -1, 21, 12, -19, 7, -15, 19, -13, 22],\n [-22, 22, 23, 4, 22, 9, -5, -23, -20, 13],\n [13, 19, -23, -10, -15, -18, 0, 25, 20, -16],\n [7, 25, 8, 3, -7, -1, -4, 1, 13, 16],\n [12, -11, 1, -9, -25, -19, 15, 15, -7, -9],\n [-19, 20, 6, 13, -1, -1, -9, -15, -6, 10]]\nB =\n[[12, -20, 15, 18, -23, 15, 19, 1, -23, -16],\n [-16, 5, -20, -2, 12, 22, -11, -11, -23, 8],\n [21, -7, 4, 8, -5, -23, 7, -9, 8, 14],\n [22, 8, -7, -25, -19, -4, 7, 11, 24, -20],\n [-23, 24, 9, -10, 21, 0, 8, 9, 11, 14],\n [15, 17, 20, -21, 24, -8, 23, 15, -2, 4],\n [-11, -8, -10, -8, 1, -25, -15, 13, -16, -17],\n [13, -9, 9, 9, -16, 7, -11, -17, -17, 1],\n [-4, 13, 16, 19, 6, 14, -9, -25, 20, 21],\n [-12, 5, -18, -13, -21, 2, -22, 22, 3, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1521", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[18, -15, 6, 17, -12, -23, -19, 2, 20, 20, 7],\n [-8, 3, -5, 8, 5, 18, -12, -8, 19, 19, 12],\n [0, -1, -24, 7, 18, -4, 11, 17, 14, -5, -24],\n [5, -20, -20, 3, -3, 21, 8, 11, -19, 25, -21],\n [21, 22, 4, -23, -11, -18, 5, -3, -10, -11, 0],\n [17, 23, 11, 3, 22, -7, -17, 6, -6, 18, -15],\n [8, 6, 23, -25, 13, 6, -22, -22, 21, -3, -1],\n [10, 9, -7, -5, -6, -11, 18, 6, 7, -21, 21],\n [-20, 8, -25, 17, -11, 13, 18, -25, -7, -4, 0],\n [-20, -24, 21, 20, 14, 9, 24, -13, -5, 15, 0]]\nB =\n[[-22, 9, -22, 19, 3, -2, -3, -24, -16, 13],\n [-21, -6, -23, 12, 10, 10, 18, -10, -23, 3],\n [2, 4, 16, -25, -15, -18, 0, -10, 1, 2],\n [-13, 15, 7, -9, 7, 22, 22, -5, 19, -10],\n [-19, 5, 18, 0, -10, -10, -4, 15, 21, -9],\n [6, -1, -2, 11, 12, -17, -22, 21, 5, -20],\n [3, 19, 17, -25, -17, -25, -24, 23, -21, 4],\n [10, 22, -15, -8, 8, 22, -20, -1, -1, -18],\n [-1, -7, 21, 20, 7, 12, 24, 1, 4, 5],\n [7, 0, 24, -10, 25, 0, 24, 18, 5, 5],\n [9, -22, 11, -18, -20, -10, -10, 23, 18, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-682", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[20, -20, -8, 6, 17, 18, 7, 6, -11, 10, 0],\n [5, -23, 14, 10, 2, 4, 13, 9, 0, -19, -24],\n [3, 19, 21, -5, -22, 10, -12, -20, 24, -7, -16],\n [-19, 0, 19, 6, -10, -1, -2, 15, -2, 19, -24],\n [-22, 25, 0, -16, 7, 10, -10, 13, -5, -21, 19],\n [22, -20, 0, -7, 24, 17, -11, -3, 15, -7, 18],\n [-12, 23, -8, -5, -1, -23, -9, -11, -12, 9, 10],\n [-11, -4, 23, -13, -10, -9, -9, -20, 11, 2, -2],\n [-18, -2, -22, 6, -23, 12, -2, 1, -3, -5, -6],\n [-23, -7, 14, 10, -25, -5, 24, -16, 4, 3, -23],\n [18, -14, 3, -21, -6, 18, -13, -23, -8, -18, 13]]\nB =\n[[-11, -9, 7, -10, 20, 16, 10, -22, -4, -20],\n [-11, -21, -11, 3, 25, -6, -7, -23, 8, 6],\n [4, 7, 9, -7, -25, -10, -25, 0, 17, 1],\n [20, -1, -7, -17, 21, 4, 19, -15, 3, 9],\n [-9, 11, 2, 20, 8, -24, -13, -5, 16, -3],\n [12, -23, -14, -7, -21, 8, 25, 16, 17, 7],\n [7, -17, 2, -23, 4, -5, -7, 20, 6, 21],\n [0, -23, -15, -1, 13, -16, 19, -25, 21, 24],\n [-19, -9, 7, 21, 4, 5, 1, 12, 5, 22],\n [0, -8, 18, -17, 2, -3, -19, 22, 0, -5],\n [22, 6, 3, 9, 1, 21, -22, 5, -15, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-485", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, 20, -13, -25, -6, 8, 5, 16, 1, 1],\n [0, -11, 1, 16, 13, -25, 1, -17, 4, -14],\n [-17, -22, 5, 23, 14, -23, -9, 25, 8, 16],\n [6, 13, 18, 15, 17, 19, -24, -15, -18, 9],\n [11, 1, 3, -17, -17, -9, -24, -4, -9, -24],\n [-2, 12, 0, -9, -23, -4, 7, -20, 16, 14],\n [-14, -9, 7, 13, 17, 22, 23, -1, 6, -12],\n [6, 20, 6, -20, 4, 8, -14, 22, 24, 12],\n [20, -5, 20, 13, -17, -13, 14, 25, -13, 11],\n [20, -7, -19, 7, 23, -15, -16, -12, -15, -5]]\nB =\n[[21, 15, 13, 13, -15, 1, 15, -2, -25, -12, 11],\n [1, 24, -16, 6, 25, -15, 4, 24, -11, 10, -25],\n [-4, -16, 4, 18, -2, -19, 7, -14, 11, -12, -9],\n [-17, 21, 16, -2, -16, 0, -22, -22, 1, -11, -11],\n [-14, 5, 23, 16, -14, 9, -16, -6, 23, -3, -2],\n [-10, -23, -19, 22, -23, 0, -11, -24, -14, 5, -20],\n [6, -19, 21, 6, -1, 24, -11, -7, 13, 11, -6],\n [-6, 22, -12, 0, -20, -19, -16, 0, -17, -22, -3],\n [-15, -1, 7, -18, -15, 4, -4, -23, 9, 25, 25],\n [-20, 12, -6, 18, 15, -13, 3, 11, 4, 13, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1388", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -7, -1, 8, 14, -22, -13, 24, -23, -15],\n [11, 22, -6, 8, -18, -12, 16, -3, -20, -18],\n [-12, -4, -4, 0, -15, -12, -8, -18, 24, -15],\n [17, 8, -24, -8, -14, -23, -5, -7, -22, 8],\n [-12, 22, 0, 2, -9, -6, -10, 24, 1, -7],\n [-4, -23, 6, -13, -13, 0, 9, 25, 17, -12],\n [9, -6, -16, -6, -3, -17, -15, -10, 17, -5],\n [-14, -21, 16, -24, -10, -18, 23, 12, -8, -20],\n [5, -22, -13, -2, 22, -16, 12, 19, -14, -23],\n [-8, 22, 4, 21, -1, -25, 25, -20, 21, 11],\n [19, 8, -11, -12, 15, 15, -20, 15, 20, 11]]\nB =\n[[-24, -20, 5, -14, -25, 9, -3, -7, -20, -24],\n [-3, 19, 24, 2, -4, 10, -24, -9, 9, 21],\n [-15, -4, -17, -24, -20, 11, 18, 19, -15, -15],\n [16, -4, 11, -21, -1, -20, -17, 18, -23, 0],\n [-9, -11, -23, 3, 3, 5, -7, 14, 11, -20],\n [-25, -16, -17, 19, 16, 13, -11, -5, 16, 2],\n [-6, 23, 7, 22, 7, 19, 9, -22, 2, 20],\n [18, 10, -5, -21, -12, 25, -14, -20, 1, 10],\n [-14, -25, -20, -2, -9, 9, -21, 13, -17, 16],\n [-10, -18, -8, 5, -8, 20, 21, 16, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59070", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 24, -6, 24, -9, -24, 20, 8, 12, 25],\n [-10, 13, 1, -22, -8, -16, -24, -8, 5, 10],\n [14, 0, 17, -14, -23, 12, 4, 10, -8, -13],\n [-23, -22, -14, 21, -15, -15, 17, 19, 21, -5],\n [-3, 21, -9, -25, 12, 6, -19, -12, -25, 12],\n [24, -17, 4, 8, 0, -9, -4, 17, -7, -13],\n [-10, 18, 2, 15, 14, 20, -8, 15, -14, -9],\n [21, -7, 16, 10, 11, 13, -7, 18, -2, 1],\n [11, -25, 11, 25, 22, -6, 19, 0, 13, -23],\n [-14, 7, -2, -6, 25, -4, -11, -6, -3, -3]]\nB =\n[[25, 24, 6, -16, 16, 4, -7, 16, 5, 18],\n [-6, -22, -6, -17, 18, 0, -7, 25, 1, 13],\n [-7, 6, 21, -16, 10, -2, 11, 10, 15, -7],\n [15, 25, -2, -12, 12, -11, -15, 18, -11, -4],\n [-22, -2, 0, -21, 12, -14, -24, 12, 13, 4],\n [2, 17, -21, 15, 1, -18, 15, 7, -12, 18],\n [16, -7, 2, 19, 20, 10, -9, 4, 25, 11],\n [-14, -19, 7, -4, 5, -1, -2, 6, -3, 4],\n [10, 15, 25, -11, 25, 0, -19, 4, -1, -3],\n [1, 11, 5, 3, -9, -19, 23, -22, 19, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 14, 23, -21, 7, -19, 17, 25, -4, 18],\n [18, 0, 1, -25, 17, -13, -16, -3, -14, 21],\n [-11, -14, -2, 23, 6, 0, -10, 9, 22, 14],\n [-10, -8, -8, -10, -11, -3, 9, -19, -18, 24],\n [-21, 3, 2, 4, 11, 0, -13, 15, 19, -9],\n [20, 19, 8, 3, 16, -19, -12, 10, -10, -11],\n [14, -19, 20, 10, 7, 19, 17, -20, -25, -3],\n [9, 13, -20, -16, -11, -21, -14, 6, -21, 16],\n [-24, 15, 7, 16, -20, 0, 0, -18, -1, -3],\n [12, -9, 25, -10, 19, 20, 1, -1, 6, -1]]\nB =\n[[25, 6, 14, -7, 20, -4, -7, -15, -4, -6],\n [21, -10, 19, 17, -15, 21, -20, 15, -23, -7],\n [16, -16, 6, -5, 5, -20, 20, 11, -22, 19],\n [9, -13, 13, -14, 17, -3, -23, 24, -9, -4],\n [20, 3, 1, 17, -19, 25, -22, 17, -15, 7],\n [9, 2, -8, -20, -3, 8, -10, -3, 9, -20],\n [-2, -11, 24, -17, 20, -18, 7, 0, -9, 5],\n [-15, 0, -22, -18, -2, -3, -12, 13, 17, -7],\n [-24, -22, 18, 23, -15, 6, -7, -1, 24, 24],\n [7, -13, 15, -23, -11, 4, 10, -15, -22, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51143", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[17, 2, 13, 23, 4, 22, -24, 22, -12, -7],\n [5, 7, -16, -22, 14, 10, 3, 16, 23, -13],\n [-10, 20, 5, 12, 7, 23, -15, 25, 0, -22],\n [8, 12, 21, 11, -18, 17, 24, 13, 4, -6],\n [-10, -11, -22, 10, 1, 10, 8, -7, 14, 20],\n [22, -5, 16, -5, -1, -9, -8, 14, 17, 1],\n [-22, 5, -7, -9, 8, 9, 25, -9, -6, -10],\n [-21, 8, 13, -19, -17, -12, -10, 18, -2, 24],\n [-18, 21, 0, -9, 0, 18, 17, 18, 16, -23],\n [-19, -21, -6, 12, 14, -21, -1, -17, 19, -12]]\nB =\n[[-15, -8, 20, -5, -20, -23, -16, -5, -17, 15, -8],\n [8, 24, -12, -23, 11, 2, 16, -12, -3, -14, 25],\n [-9, 10, 13, 19, 9, -16, 17, -12, -1, -7, -5],\n [15, 4, 13, -14, 14, -16, -13, -23, 9, 16, 8],\n [-25, -23, 20, 0, 4, 20, -22, 11, -18, 21, 20],\n [13, 11, 5, 4, 0, -10, -4, 6, 20, 17, -13],\n [-1, -12, -25, -9, 14, -10, -5, 13, 24, 19, 1],\n [-19, 2, 5, 16, 9, 7, 3, 18, 16, 13, -2],\n [16, 10, 25, -9, -20, 7, 22, 22, 18, 0, 18],\n [-19, 11, -10, -24, 22, -3, 19, 15, 13, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21041", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -18, 17, 17, -11, -12, -20, 25, -13, -14, 1],\n [8, 25, -15, 2, -19, 9, 9, -6, -15, -5, -24],\n [-5, 1, 16, -4, -1, 10, 5, -10, 22, 11, -5],\n [3, -25, 15, -23, 19, 0, 9, -17, 2, -17, -13],\n [-3, 23, 15, 18, 12, -23, -5, 17, 5, 19, 20],\n [21, -11, -9, -12, -10, 16, -9, 0, 22, -12, 19],\n [10, -4, -23, -23, -11, -22, 6, -10, 4, 7, 11],\n [-18, 5, 4, 12, -23, -6, -21, 20, 17, -21, -24],\n [25, 0, -10, 14, 23, 6, -24, 15, 1, 18, 19],\n [-11, -3, -4, -6, -25, 9, 3, 25, -4, 3, -4],\n [-15, -5, 19, -15, -4, 25, 20, 17, -17, -19, -22]]\nB =\n[[9, -14, 16, 13, 1, 11, 3, -10, 24, 25, -13],\n [-19, 4, -16, 11, 13, 4, 10, 20, -14, 7, 21],\n [-25, 20, -3, 17, -1, 12, -10, -13, 9, -17, 3],\n [-14, 23, 16, 11, 9, -22, -21, -1, 2, 20, -10],\n [-6, -19, 11, -9, 17, -9, 24, 1, -5, 8, 23],\n [14, -6, 16, 6, 19, 12, -4, -11, 10, 24, 2],\n [-24, 7, 11, -4, 2, -16, -10, 24, -12, 25, 9],\n [1, -15, -19, 14, 17, 8, -21, 13, -2, 0, 9],\n [20, -4, 15, -22, 12, -6, 11, -23, 10, 25, -22],\n [-20, 24, -14, -25, -2, -7, -22, 5, -22, -6, 20],\n [10, -23, 2, 3, -8, -16, -14, -13, 11, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2880", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 10) of the result:\nA =\n[[-24, 4, 9, 4, -6, 0, 25, 8, 20, 23, -2],\n [-9, 8, 20, 25, -6, 11, -20, 9, -18, 1, 22],\n [-24, -17, -3, -2, -4, -12, -5, -14, 13, 10, 7],\n [-25, -3, 17, 24, 24, -23, -3, 24, -12, -17, 17],\n [21, 1, 21, -10, -1, 2, -1, 5, -3, -15, 20],\n [16, 8, -14, 1, 1, 18, 19, -6, -17, -18, 23],\n [-13, 15, -25, -25, 16, 8, 5, -22, -11, -11, 13],\n [-6, -22, -4, -12, -5, -1, -5, 12, -18, 0, 20],\n [-16, 16, 8, 24, -13, -10, 16, 3, 22, 6, -8],\n [3, -8, -22, -3, -9, 11, 5, -7, 9, 18, 3]]\nB =\n[[10, 1, -4, -16, 23, 24, -2, -20, -3, 3, 5],\n [-4, -23, 11, 10, -20, -9, -24, -4, 16, 21, -20],\n [-2, -2, -10, 23, 10, 8, 25, -19, 15, 23, -4],\n [21, -5, -9, -5, 1, 19, 11, -5, 15, -4, 20],\n [15, 2, 0, -15, -1, -22, -14, -23, -19, 12, 21],\n [-4, 7, 10, -24, 12, -24, 21, -21, -6, 20, 5],\n [19, 19, -4, 14, 1, -11, 5, -13, -20, 3, -1],\n [-1, -22, -19, -15, -4, -22, 20, -16, -18, -14, 15],\n [-1, 3, -20, -20, -13, -1, -14, -18, -18, 2, -4],\n [-23, -8, -16, 10, -5, 3, 8, 15, -15, 22, -12],\n [19, 18, 7, 9, -9, -22, 15, 1, -6, -19, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -1, 18, 23, -14, -3, -5, 15, -21, 19],\n [-8, 21, 11, -10, 15, 7, -19, 25, -16, -22],\n [-6, -14, -10, -8, -23, 9, 2, 19, -19, 0],\n [19, 3, -18, -2, -17, -24, 0, 14, -14, -6],\n [21, -6, -1, 2, -6, -24, 20, -21, 8, -3],\n [8, 15, -10, -25, 22, -10, 15, 10, -7, -7],\n [17, 13, 8, 25, 23, 4, -17, -11, -16, -23],\n [18, -10, 12, -11, -17, -23, 24, -20, 1, -19],\n [24, -11, 7, -2, -2, -7, -3, 2, 20, -22],\n [17, 22, -1, -11, -21, 11, 24, -24, 16, -5],\n [-14, -14, -17, -21, -8, 13, -25, 3, 14, 9]]\nB =\n[[-6, -6, 5, -4, 15, 15, 14, -14, -20, -23, 12],\n [5, 10, -6, 13, -24, 4, -10, 8, 17, 20, -1],\n [-6, 21, -23, 18, 24, 14, -9, -9, 11, 16, 23],\n [11, -4, 4, 13, -1, -23, 20, -7, -18, -8, -16],\n [12, -5, 8, 19, -8, 17, 23, 8, 22, 8, 5],\n [-10, 8, 9, -6, 0, -23, 23, 25, -17, -4, -23],\n [-13, 8, -14, -11, 18, 15, 18, 24, -17, -12, 12],\n [0, 22, 1, 8, 18, 21, 6, 17, -10, 5, 16],\n [-11, 24, 13, 19, 12, 13, 3, -4, -22, 4, 18],\n [6, 23, -22, -25, 12, 11, 10, 14, 24, -19, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61354", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[18, 11, -2, 7, -11, -1, -1, -12, -14, 14, -14],\n [-10, -1, -15, -21, -12, 18, 3, -24, -24, 24, -14],\n [-21, -14, 7, -16, 23, 9, -13, 13, 14, 17, 23],\n [-16, -11, 12, -17, 0, -24, 8, -4, -14, -9, -8],\n [18, -5, -4, 20, -5, 9, 12, -1, 10, -13, -7],\n [-11, -16, -19, 17, -2, -13, 15, 1, 22, -19, -20],\n [-10, -21, 11, -13, 0, 21, -9, -15, -12, -4, 13],\n [5, 15, 24, 9, 15, 9, 20, 3, 3, 2, -6],\n [-21, 22, 2, 5, -4, 2, 1, 0, 0, 24, 1],\n [2, 12, -7, 19, -19, 15, 3, -2, -4, -18, -6]]\nB =\n[[-3, -14, 15, 2, -3, 24, -5, -1, 7, -22, -17],\n [15, -5, 22, -25, -1, 6, -9, 17, -12, 20, -5],\n [-23, 23, 10, -25, 16, -9, -4, 21, 13, 5, 25],\n [-15, -22, 11, -7, 5, 1, 23, -8, 13, 16, -12],\n [-21, -3, 17, 11, 16, 22, 0, -15, 1, -6, -12],\n [13, 16, 13, 11, 20, 14, 2, 15, -21, 7, 5],\n [0, -19, 8, -23, -2, -19, 20, 2, 19, 6, -19],\n [20, -17, -11, -17, 8, 11, -22, 12, -12, -8, 15],\n [-22, -23, -7, 1, 4, -13, 7, -22, 9, -7, 18],\n [13, 6, 16, 19, -21, -9, 9, -9, -9, -1, 15],\n [-18, 2, 20, 25, 19, -7, -18, -17, -8, 18, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 8, -10, 22, 4, 10, -16, 10, -3, 3],\n [19, 5, 14, 23, 5, -9, -21, 8, -1, -2],\n [-13, -15, 14, -8, 5, -24, -4, -12, -12, 19],\n [-15, 10, -17, -22, 6, 22, 12, -12, 22, 22],\n [4, 7, -12, 5, 5, -11, -25, -18, -1, 22],\n [0, -2, 9, -7, -14, -13, -10, 3, -16, 23],\n [6, 24, -8, 22, -15, -19, -2, -14, -10, -15],\n [4, 7, 7, -21, -9, 8, -10, 25, 19, 23],\n [-17, 6, 10, 1, 20, 22, 19, 4, -11, 1],\n [-4, -4, 25, -2, -12, 12, -20, 19, -9, 2]]\nB =\n[[-2, 19, 25, -11, 2, -12, -15, -25, -9, 18, 25],\n [-1, -24, -24, 13, -11, -13, -14, -15, 3, -15, 25],\n [-22, -25, 19, 1, 18, 9, -13, 20, 5, -15, -16],\n [11, -18, -10, -21, -5, -18, 9, -21, -13, -13, -21],\n [7, -10, 25, -6, 16, 12, 2, -10, 6, 6, -15],\n [-24, -22, -13, -21, -19, -13, -4, -24, 14, 0, 3],\n [-18, -6, 23, -23, 15, -20, -25, -7, 14, -14, -24],\n [15, 10, 11, 14, -17, 9, 15, 19, 23, 14, -3],\n [-18, -11, 24, 16, -3, 10, 23, 25, 11, -14, -8],\n [0, 4, 24, 2, 16, -14, -18, 7, -12, -25, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3061", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 8, -18, -16, -6, 11, -25, 4, -1, 4, 0],\n [-8, -16, -19, -16, -20, -22, 14, -16, 0, 15, 1],\n [6, -20, 3, 13, 25, -3, 5, 10, 11, -21, -21],\n [-20, -6, 24, -20, 2, -14, 7, -12, 6, 10, -4],\n [4, -25, -14, -20, -12, 25, -9, 6, 9, 23, -2],\n [13, -23, -10, -2, -10, -16, -8, -14, -4, 22, 15],\n [13, 11, -7, -7, -24, -4, 14, -11, -22, -12, 1],\n [-6, 10, -21, 13, 0, -1, -18, 7, 14, 7, 4],\n [-14, 17, -11, 11, 18, -1, 10, 12, 23, -25, 12],\n [-19, -11, 13, 6, -18, 23, 4, -6, 3, -24, 20],\n [25, -11, 4, 23, 16, 18, -20, -3, -6, 1, 22]]\nB =\n[[-22, 1, 16, 19, -21, -9, -5, 9, 9, 9],\n [-6, 9, 6, 20, -18, 0, -25, -1, -21, 0],\n [10, -19, 14, 1, -18, -4, -18, 0, 7, 17],\n [-6, 18, -18, 25, 25, -24, 18, 21, -1, -22],\n [-23, 15, 25, -6, -8, -1, 24, -18, 13, -12],\n [-19, -18, 11, -18, 15, -6, 20, 6, 0, 12],\n [-11, 6, 21, 22, -16, -14, 1, -13, -16, -12],\n [-13, -6, -2, -10, 0, -21, 4, 20, -4, 13],\n [19, 4, -1, -8, 10, -17, -8, -3, -14, -15],\n [-25, -25, -21, 1, -19, -8, 21, -7, 12, -22],\n [4, 15, -21, 13, 15, -7, 23, -22, -21, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1901", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 5) of the product matrix AB given:\nA =\n[[15, 11, 2, -9, -10, -9, 21, 1, 1, -25, 19],\n [1, 9, 11, 22, 24, 8, -25, 1, -2, -5, 14],\n [-8, -21, 15, -8, 17, 21, 19, 17, -19, -8, -1],\n [6, -25, 20, -16, 6, -17, -6, -1, 2, -10, 2],\n [-6, 1, 0, 0, 0, -4, 12, -19, -22, 10, -2],\n [13, 4, 11, 11, -17, -3, 3, 20, 17, -21, 7],\n [14, 9, -13, -3, 21, 23, 0, 8, 20, 12, 1],\n [12, 24, -17, 24, -9, 13, -4, -12, -14, -9, -13],\n [16, 0, 0, 23, 7, -3, 22, -3, 1, -11, -12],\n [17, -23, 2, 1, 19, 15, 14, -21, -24, 13, -15],\n [17, -2, 5, -9, -5, 11, -20, -10, 6, 14, -20]]\nB =\n[[-4, -15, 11, -18, 13, -18, -8, -3, -19, 11, 12],\n [20, -1, 3, 25, 16, -11, 13, 14, 17, -23, 17],\n [21, 17, 25, -7, -11, 9, -16, -12, 3, -21, -7],\n [20, 5, 2, -14, 16, 12, 18, 10, -7, 4, -18],\n [5, 7, 22, -24, -17, 12, 13, -24, 0, 8, 5],\n [-4, -13, -8, 1, -18, 12, 17, 19, 20, 16, 19],\n [-25, 9, -12, -19, -24, -19, -19, -21, 25, 25, 21],\n [14, -18, -3, 5, -7, 2, -1, 7, 12, 5, -19],\n [4, -8, -14, -22, -1, -1, 23, -12, -25, -11, 10],\n [-12, 13, -16, -15, -10, 24, -24, 6, -22, 11, -6],\n [-8, -17, 22, 20, 12, 23, -8, 13, 4, 22, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1221", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[17, 4, -9, 18, -12, 2, -1, 6, -14, -11, 21],\n [-20, 14, -24, 9, 5, 19, -20, -20, 24, -24, -16],\n [0, 11, 13, 18, -20, -6, -5, -16, -2, -11, 18],\n [8, 12, -14, 22, 4, -13, 2, -9, -20, 16, -24],\n [-12, -2, -25, 8, -19, -16, -10, -7, 0, 22, 18],\n [21, 10, 14, 16, 12, 8, 2, -10, 18, -3, -3],\n [24, 19, -18, -17, 0, -17, -17, 13, -6, -21, -12],\n [-1, -8, 6, 19, 20, 21, -3, 12, -11, 12, -14],\n [-9, 8, -3, 10, -8, 6, 14, 20, 15, 0, 23],\n [22, -10, -14, 6, -4, -4, -2, 3, 14, 17, 9]]\nB =\n[[-6, 18, -13, -21, 12, -8, -14, 22, 4, -25, 18],\n [5, -11, -7, 20, -21, -10, 17, 18, -20, -16, -10],\n [-21, 18, -25, -21, -14, 22, 12, 11, -6, 25, -18],\n [-18, -19, 4, 18, 25, -7, -1, -11, 25, 23, -25],\n [-1, 9, 2, -5, -3, 3, 7, 0, 20, -13, -22],\n [7, -16, 13, -6, 12, 24, 5, -13, 8, -15, 1],\n [-19, 23, -11, -15, -24, -15, 20, 15, 19, 15, -1],\n [-11, -24, -4, -16, 10, -20, 6, -13, 6, 10, -24],\n [-13, 16, -19, 6, 11, 10, 3, 13, 16, -15, -14],\n [24, 10, 1, 1, 4, -25, 0, 9, -18, 2, -22],\n [5, -14, -9, 11, 23, -8, 8, -4, 22, -14, 15]]\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 value at position (7, 3) of the result:\nA =\n[[9, -13, 0, 8, -13, 22, -23, 10, 12, 22, 9],\n [16, -21, 11, 24, -3, 18, 8, -19, 2, 5, 15],\n [-16, 11, 21, 9, -1, 24, -20, 12, 11, 19, 5],\n [-2, 3, 9, 11, 9, -24, -11, 18, -25, -1, -16],\n [8, 14, -21, -8, 6, -1, -24, 5, 6, -5, -8],\n [19, -17, -3, 12, -3, -10, -11, -2, 21, 15, 12],\n [-10, 17, -5, 0, 19, 9, 19, 0, 22, 10, -23],\n [0, 22, -19, -3, 15, -7, -13, -3, -25, -20, -18],\n [12, 2, 2, -10, 6, -3, -20, -19, -19, -17, 0],\n [21, -7, 1, 15, -13, -5, 16, 2, -22, -18, 7],\n [-11, -19, -20, 24, -10, -24, -1, 25, -7, 11, -21]]\nB =\n[[-6, -3, -11, -17, -19, 11, -23, -2, -5, 4, -8],\n [-10, 19, 24, -9, 23, 1, 18, -16, -6, 21, -5],\n [-11, -15, -16, -12, 19, 22, 22, -17, 19, 20, 4],\n [-11, -9, 6, 7, -10, -7, 25, -24, -22, -21, 12],\n [-18, 14, -2, 5, -5, -12, -19, -23, 0, 2, 18],\n [-7, -13, -25, 13, 12, -17, -5, -25, -18, -4, 0],\n [2, -9, -5, 2, -8, 7, 3, 5, -14, 20, -7],\n [7, 4, -20, -6, 7, 3, 23, 9, 0, -3, 11],\n [1, 22, 22, -3, 12, 24, 24, 4, 25, 23, 17],\n [16, -8, 24, 4, -7, 19, 16, 17, -25, 19, -22],\n [-9, 11, -20, 14, 23, 18, 24, 15, 5, 12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1424", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -4, 25, 19, 9, 3, -2, -9, 10, 19, 24],\n [-3, -16, 3, 11, 1, -6, -14, 12, -20, 0, -2],\n [20, -24, -22, 4, -24, 6, -20, -25, 16, -3, 3],\n [-18, 17, -2, -13, -14, -21, -7, -8, -11, -14, 20],\n [-15, -21, -7, -24, 10, -17, -18, 5, 21, 4, -12],\n [-3, -19, -5, -18, -22, -18, 15, -15, -2, -17, -9],\n [-8, -5, 5, -17, 19, 8, -9, -5, -3, 18, 10],\n [8, -16, 4, 10, 6, 1, -25, -9, 18, -17, -8],\n [-4, 4, -15, 16, 16, 13, -11, 22, 10, -14, 21],\n [0, 23, -20, 9, 19, -24, -3, -22, 12, 17, -23]]\nB =\n[[16, -17, -7, -24, -7, -25, -19, -16, 24, -21],\n [14, -19, 12, -16, -2, -20, 18, 16, 13, -19],\n [4, 22, 1, 7, -23, 13, -22, 11, -21, 12],\n [5, 14, 19, -4, 15, -18, 6, -10, -12, 22],\n [19, 10, -20, -11, -15, 0, -5, -9, 1, 5],\n [-12, 7, -24, -3, 12, 11, 0, -24, 10, 1],\n [-13, -22, -2, 25, -2, -15, 14, -9, 13, -3],\n [13, 10, 10, 17, -21, 4, -19, 20, -24, 14],\n [4, 16, 3, 20, -11, -15, -19, -7, 4, 12],\n [-19, 10, -12, -2, -21, -15, 22, 13, 1, 0],\n [-10, 24, -17, -18, 5, -12, -18, 12, 17, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3536", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -6, 19, -4, -4, -25, 7, 15, 11, 5, 13],\n [-11, -20, 7, -20, -15, 21, -4, -8, -16, 2, 16],\n [0, -8, -18, -20, 0, 21, 5, 7, 3, -7, 1],\n [-8, -22, -3, -18, 14, -2, -21, 22, -15, 17, -12],\n [-15, -13, -4, 14, -12, -6, -25, -5, 25, -1, 2],\n [11, 6, 10, 10, -24, 14, 3, 22, 20, -10, 1],\n [-17, 14, 19, -21, -13, 19, -1, -21, 20, -17, 23],\n [-7, -21, 6, -18, -7, -23, -3, 17, -16, -6, 12],\n [-5, -7, -12, -24, 6, 0, 11, 19, 18, 14, 2],\n [-2, -8, -9, 17, 21, 11, -7, -13, -6, -9, 1],\n [25, -22, 5, 0, 11, -25, -14, 16, 19, 25, -10]]\nB =\n[[8, -2, 15, -2, 11, 17, -22, 25, -18, -10],\n [23, 17, -17, 15, -2, 13, -25, -23, -17, 22],\n [20, 21, 10, 21, -15, 23, 15, 19, -23, 8],\n [9, -10, -12, 10, -23, 22, 24, -20, -10, 14],\n [6, 8, 6, 7, -13, 2, -8, 11, -2, -25],\n [22, 3, 1, -12, -2, -11, -16, -2, -10, 5],\n [3, -17, 10, -15, -7, -10, -17, 18, 1, 8],\n [-15, -7, -18, 17, 22, -6, 15, -15, -13, -9],\n [17, 17, -3, 24, -14, -17, 1, -1, -3, 13],\n [-17, 16, -1, -1, -16, -11, 11, 18, 25, -23],\n [-2, -2, -17, 24, 7, -12, -23, -20, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-314", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -21, -4, -10, -13, 17, -14, -16, -16, 22],\n [-12, 7, 13, 15, 19, 15, 2, -4, -8, -11],\n [-9, -24, -17, -13, -5, -12, 15, -11, -24, 1],\n [8, -5, 11, 22, -13, 16, -19, 9, -2, 25],\n [21, -25, 16, -5, 15, -6, -7, -5, -8, 13],\n [-1, -6, 11, 5, -5, 22, -10, -19, 15, 14],\n [17, 6, -19, 14, -14, 8, -8, -13, -25, 8],\n [-25, -1, -17, -5, -19, -7, 5, 7, 2, 24],\n [-5, 12, -23, 18, -5, -15, 13, 20, 1, 9],\n [-5, 5, -18, 6, -3, 11, -23, -16, -3, 13]]\nB =\n[[-21, 20, 17, 14, -23, 12, 23, 18, -22, -15],\n [-15, 22, -7, -22, 6, 5, 19, 10, 25, -8],\n [24, 7, -23, -20, -16, 17, -7, -25, 19, 9],\n [-13, 7, -6, -17, -16, 8, -7, -11, 12, 11],\n [-2, 11, -5, 7, 5, -4, 1, -7, -15, -13],\n [-19, 1, -2, 20, -1, 21, -3, 25, 11, -4],\n [-4, -23, -15, -2, -1, 19, -8, 24, 22, 25],\n [2, 13, -16, 8, 0, 10, -2, -6, 21, 7],\n [10, -3, -1, 19, -18, -20, 6, -18, 7, -24],\n [-23, -24, -16, -21, 20, 23, 7, 21, -4, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48994", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -16, -23, -18, -8, -24, 13, -16, -6, 4],\n [-19, -1, -12, -16, -12, 7, -17, -7, 12, -5],\n [25, 21, 5, -23, -22, 6, 21, 25, -13, -8],\n [-16, -9, -2, -7, 7, -20, 17, 8, 14, 23],\n [10, 22, -7, 10, -25, 17, -13, -1, -14, 3],\n [1, 0, -18, -2, -6, 21, -6, -25, -2, 16],\n [-2, -3, 8, -17, 6, 16, -23, 12, 7, -13],\n [12, -17, -25, -13, 11, -5, -15, 11, -13, 8],\n [-25, -21, 14, -7, -5, 6, -21, -22, 8, -24],\n [-22, -3, -11, 9, 18, 11, -24, 3, -12, -4]]\nB =\n[[-3, 25, -2, -6, 4, -7, -23, 8, -14, 8, -21],\n [21, -19, 19, -11, -1, -8, -2, -2, 5, 13, -16],\n [-22, -19, 0, -21, 4, -23, -18, 25, -6, 6, -9],\n [22, 12, 19, 13, -2, -1, 24, 14, -15, 0, -17],\n [-22, -2, -14, 13, 15, 6, 15, 23, 18, -19, 22],\n [-3, -10, -22, 24, -24, 7, 19, 20, 20, -11, 20],\n [-7, 2, 1, -2, -4, 11, 25, 3, 5, 16, 12],\n [9, 25, -4, 13, 19, 11, -6, -9, -3, -6, 10],\n [-7, -22, -3, -15, -25, -23, 22, -7, -19, 22, 21],\n [11, -9, 18, -16, 10, 12, 11, 15, 17, -19, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2983", "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, -4, 11, 4, 7, 21, 23, -4, 16, -10],\n [-23, 20, -16, 14, -9, -15, 2, -9, 7, 25],\n [18, 4, -3, 12, -20, 23, -9, -13, 16, -7],\n [-8, 7, -24, 18, -1, -3, -15, -21, 15, -10],\n [-15, -22, 3, -17, -8, -8, 12, 1, -20, 10],\n [1, -15, 12, -17, -13, -8, 21, -8, -25, 3],\n [-3, 11, 6, 1, -8, 22, 21, -10, 12, -1],\n [22, -25, 17, -25, 7, -16, -20, 15, 19, -2],\n [-20, -17, 7, -11, 12, 10, -18, 24, 0, -19],\n [-16, -8, 0, -22, 15, 17, -18, -1, -8, 21]]\nB =\n[[-21, -22, 17, -18, -24, -23, 4, -19, 24, 18, -2],\n [-19, 10, -25, 4, 22, 8, -20, -25, 0, 13, 5],\n [14, 14, -24, -15, 19, 15, 12, 4, -3, -10, 1],\n [10, -3, 7, -4, 13, -10, -22, 20, 20, -11, -9],\n [5, 13, 5, 9, -4, -4, -23, -8, 0, 9, 25],\n [-2, 0, 10, -5, 22, 23, -19, -21, 5, -11, 21],\n [-24, -8, -16, 20, -24, -16, 14, -14, 21, -4, 15],\n [-5, 23, 2, -23, 11, 16, 2, -21, -21, -17, -2],\n [11, 5, -12, 15, 25, 1, -5, -3, 12, -22, -22],\n [21, -21, -13, 19, 6, 25, -21, 5, 20, -11, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61328", "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, 23, -8, 2, -18, 2, -12, -21, -8, -19],\n [-8, -7, 25, -10, -11, 6, 17, -24, 3, 13],\n [0, -5, 7, 11, -11, 3, -7, 5, 13, 23],\n [13, -2, 25, -11, 4, -1, 21, -9, 3, -1],\n [20, -23, -4, 10, -21, 14, -19, 1, -11, 18],\n [-12, -14, -11, 21, 14, 0, 25, 18, 17, 1],\n [24, -21, -4, 13, -5, 24, 14, 19, 21, -3],\n [-2, -21, -11, 8, 3, 11, 9, -1, -22, 0],\n [12, 21, -22, 10, -24, 21, -10, -12, 14, -6],\n [-7, -6, 2, 19, -21, 24, 22, 20, 11, -11]]\nB =\n[[-7, 10, 0, 13, 23, 4, -14, -7, 21, -17, 10],\n [-21, 3, 6, -23, -1, 8, 5, 21, -5, 18, 21],\n [23, 19, -16, 8, 3, -5, 15, -13, 6, 0, -8],\n [13, 0, -2, 5, 21, -10, 11, 3, -14, -21, 24],\n [18, -16, 25, -14, 14, 2, -25, 20, 16, 0, 8],\n [-5, 23, -8, 3, -16, 3, 9, 15, 25, -6, -17],\n [-15, -15, 13, 18, -20, 4, -4, -22, -21, -20, 7],\n [-20, 25, -10, -23, 22, -10, -13, 5, -14, -3, 23],\n [-18, -24, -19, 25, -4, -22, 19, 12, -13, 5, 25],\n [-25, -16, 25, -6, -21, 2, 9, 22, 24, 14, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56768", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[16, 3, 19, 5, 18, -14, 11, -18, 18, -3, 21],\n [-7, 10, -2, 24, -7, 21, 8, 9, 17, -13, 17],\n [-11, 4, 15, -23, 13, 1, 0, 21, 2, -4, 24],\n [8, 8, -16, 2, 22, -24, 14, 6, -18, 0, -6],\n [25, 14, 15, -7, -10, 12, -6, 9, 6, 15, -17],\n [-12, 20, 5, 17, -16, -17, 1, 1, 19, -21, 5],\n [-8, 8, -14, -2, 14, -18, 3, 23, -8, 0, 1],\n [-13, -11, -16, -14, 12, -17, -9, 8, -15, -4, 0],\n [-17, -20, 4, -24, -7, -11, -18, -23, 3, 20, 20],\n [-16, -3, 13, 0, 24, 15, -19, -20, 3, 24, -3]]\nB =\n[[-14, -6, 15, -21, -9, -1, -22, -8, 3, 10],\n [19, 11, -21, -12, -25, -10, -20, -2, -10, -2],\n [-13, -10, 8, 3, 15, -13, -17, 10, 0, -1],\n [-23, -22, 19, 24, -3, -18, 12, 22, -14, 19],\n [-14, -5, 11, -7, -14, -14, 7, 4, -15, -7],\n [16, 25, 2, 21, 23, 0, -3, 18, 15, 12],\n [11, -23, -15, 21, 14, 17, 2, -4, -11, 8],\n [6, -23, -16, -24, -4, -22, 20, -2, 4, 17],\n [-25, -7, 2, -10, -5, 24, 15, 6, -25, -24],\n [23, 5, -8, 20, 17, -9, 22, -18, -16, 7],\n [17, -10, 21, 21, -2, 22, -21, -1, 25, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9526", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-22, 10, -25, 9, 10, 19, -7, -2, -20, 22],\n [-15, -24, -12, 14, 21, 16, -12, 18, 25, 20],\n [8, -25, -3, -25, 18, 19, 21, 2, 8, 6],\n [-3, 9, 2, -21, -10, 21, -6, 22, -6, -9],\n [-21, -6, -21, -23, 6, -1, 8, 24, -25, -24],\n [-16, -8, -13, -4, -19, 5, 6, -24, 17, 21],\n [11, 23, -22, 21, 5, -18, -13, -24, -22, 18],\n [4, 18, 4, 22, 19, -9, -10, 6, -23, 2],\n [-25, -1, 5, 21, 1, 17, -13, 1, -3, -22],\n [-18, -7, -8, 19, 9, 9, 9, -15, 11, -14]]\nB =\n[[-10, -14, -18, 21, -25, -20, -19, 17, -25, 13, -12],\n [8, 2, 18, -25, 0, 10, 8, -1, -2, 10, 18],\n [-19, 14, -1, 5, 11, -13, -6, 3, 5, -2, -23],\n [19, 8, 25, -20, 9, -13, 24, 14, -15, -13, 16],\n [19, 18, 2, -22, -4, 23, 11, -8, -24, 24, 7],\n [17, -21, -14, -10, 4, -8, 1, 21, 1, -15, -13],\n [-24, -1, 7, 9, -2, 19, -25, 25, -1, 24, -13],\n [8, -11, -20, -8, 16, 2, -4, 17, -18, -2, -14],\n [-2, -25, 14, 23, 2, -18, -23, -9, -17, 25, 20],\n [-15, 15, 8, -6, -7, 22, 8, -17, -7, 12, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12534", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 7, 17, 12, 19, -12, 0, -1, 5, 5],\n [1, 0, -12, -24, -20, 0, 8, -6, 15, 14],\n [10, -23, 9, 10, 1, -18, 3, 6, -6, 25],\n [-16, -8, 7, -23, 0, -7, 13, 16, 13, -24],\n [-4, 0, -3, 24, 7, 2, 5, -23, 16, -23],\n [-24, 21, 3, 20, 5, -11, -16, 17, -4, 8],\n [11, 16, 14, -17, -12, -6, 9, -25, 0, -10],\n [-10, 16, -12, 25, -1, 22, -5, 17, -11, -24],\n [-21, -7, 15, -15, 2, 18, 19, -24, 7, -5],\n [17, 2, 14, -9, -14, 15, 5, -1, -6, 18]]\nB =\n[[-3, -20, -10, -23, 23, 1, -15, -23, -3, 20, 13],\n [-18, -9, -16, 0, 5, 14, -5, 0, 6, -11, 1],\n [-4, 12, 1, -7, -18, 16, 1, 11, 8, 3, 9],\n [15, -2, 22, -24, 14, 21, -10, 23, -25, 9, -21],\n [-15, -1, -18, -11, 13, -23, 2, 2, -13, -20, -22],\n [11, 8, -21, 14, 4, 15, 22, -15, 5, -15, 10],\n [-14, -2, -7, 9, -25, -20, -24, -6, 16, -14, -16],\n [22, 13, -18, 8, -23, 23, -7, -6, 24, 20, 13],\n [-23, -20, 21, 8, -8, -4, 5, -15, -24, -2, -19],\n [-19, -2, 25, 6, 21, -5, -9, 6, 18, -1, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[25, 21, 7, -9, 7, -2, 12, 23, 10, -10, -1],\n [-20, 1, 12, -15, 3, 4, 25, 10, 1, -19, -24],\n [-17, 25, -2, 2, 21, 20, -7, -11, -24, 23, -12],\n [-8, -16, -20, 5, -5, -3, -9, 13, 24, 8, -19],\n [-20, -25, -8, 9, 17, 21, -23, -25, -23, -8, -11],\n [-12, 11, -9, 2, 25, -10, 3, -7, -2, -6, 2],\n [-5, -3, -20, -18, 21, -15, 11, -16, -9, -14, 24],\n [25, -9, 12, 17, 0, -2, -24, 8, 6, 23, -2],\n [23, 4, -12, -4, 3, 24, -6, -10, -10, -18, -24],\n [-2, -10, -10, -24, 16, 22, -22, -16, 25, -3, -12],\n [-2, -16, 5, 0, -11, 1, 2, -5, -12, -19, 13]]\nB =\n[[-20, 9, -10, 0, -22, -16, 15, 0, -13, 17],\n [24, -18, 1, -14, 16, 6, -10, 24, 9, -4],\n [-19, 6, 1, -8, 15, 21, -15, 25, 13, -19],\n [3, 21, -22, 20, -9, 25, 24, -1, 12, 11],\n [-16, 10, 18, 21, -10, -14, -9, -17, 17, 14],\n [6, 21, -8, -2, -18, 17, 7, 22, -14, 8],\n [-23, 14, -25, 3, -21, 12, -5, 8, 4, -6],\n [5, -2, 17, 14, 11, -24, -16, 17, 4, 13],\n [-24, 11, -23, -14, 9, -25, -25, 3, 10, -17],\n [-14, -14, -16, -4, 12, -7, 17, -13, 13, -6],\n [24, 10, 20, 21, 10, 0, -2, -11, 14, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4280", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[9, -6, -3, -5, -10, 8, -22, -18, 20, -8, -3],\n [-8, 11, -10, 0, 0, -8, 25, 9, -6, -6, 6],\n [-15, -13, 8, -13, 2, -19, 7, -4, 1, 5, 14],\n [-20, 14, 3, 4, -3, 9, 6, 20, -21, -23, 16],\n [13, 18, 25, -11, -24, 5, 7, 7, -12, 4, 8],\n [21, 23, 3, -18, -13, 23, -10, -1, 17, 14, 7],\n [13, -23, -13, 12, 20, -13, 0, 8, -15, 7, -5],\n [-3, 14, -5, 13, 20, -8, -15, -9, 23, 16, -25],\n [-23, -21, -2, 13, 6, -8, 15, 20, 19, 14, 22],\n [-6, -24, -18, -24, 17, -8, -16, -23, 18, -24, 22]]\nB =\n[[8, -20, 21, 25, 17, -5, -10, 20, -10, -24, -10],\n [6, 12, -10, 25, -18, 21, 1, -22, 6, -5, -12],\n [25, 24, 25, -21, -2, 4, 10, -5, 4, -2, -3],\n [6, 0, -6, 8, -24, -17, 19, -11, -24, -25, 21],\n [-5, -17, 22, 15, 1, 12, 22, 24, -6, -4, -9],\n [24, -24, -11, 23, -17, 7, 19, 7, -22, -25, -17],\n [-18, -10, 3, 18, 14, -16, -3, -16, 17, 4, -25],\n [22, -10, -20, -7, 8, 23, -9, 23, -15, 3, 9],\n [2, -13, -22, -10, 8, -5, -10, -6, 12, 9, 10],\n [-9, 11, -3, 20, 9, -20, -25, 14, -25, 16, -23],\n [19, 25, -11, -17, 8, -1, -9, -18, -24, -20, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 7) of the result:\nA =\n[[24, -13, 7, -16, 9, 15, -4, -13, -21, -20, 15],\n [-14, -3, 23, 17, 21, 3, 5, -24, -4, -8, -2],\n [-12, 12, 15, 8, 23, -22, -16, -18, 12, 1, 4],\n [-23, 13, 3, 6, 16, 23, -2, 2, 5, -7, 3],\n [-10, 7, 9, -3, -8, 13, 11, -13, -9, -18, 19],\n [9, -9, -15, -7, 12, 24, -13, 8, -4, -6, 10],\n [5, 5, -8, 2, -6, 8, -4, 24, 10, -18, 3],\n [-4, -23, 19, -24, -17, -17, 0, -25, 15, -10, 17],\n [-8, 13, 5, 20, -25, 20, -25, 20, -2, -12, -3],\n [22, -18, -24, -21, 12, 7, -22, 13, -18, 3, 3],\n [11, 12, 4, 21, -14, 14, -18, 22, 21, -7, -23]]\nB =\n[[14, -3, -10, 24, 20, 2, 0, 24, -14, 18],\n [-2, 25, 23, -12, -8, 18, 14, -3, -11, -23],\n [14, -16, 6, -17, -17, 19, 20, -4, -24, 19],\n [7, 6, -15, 0, 4, -10, -9, -1, -2, -16],\n [-21, 3, 13, 18, 22, -10, -4, 15, 22, 18],\n [11, -17, 8, -25, -8, -7, 24, -9, 13, -5],\n [-10, 8, 21, -6, 25, 12, -23, -16, 6, 18],\n [-17, -12, 9, 0, -22, -24, -25, 24, -24, -22],\n [4, -22, -6, 11, -17, -3, 2, 6, -5, 7],\n [13, 20, 1, -19, 18, -7, -21, -18, 6, 19],\n [11, 21, 4, 15, 16, 6, 20, -22, 13, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "677", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-23, -24, -5, 4, 1, -12, 19, 3, -10, 19, 23],\n [18, 24, 23, -22, -12, -10, -15, 5, 10, 3, -16],\n [21, 12, 18, 12, 2, 9, 7, 5, -18, 5, 22],\n [-21, 13, 12, -5, 17, -1, 16, -17, -5, -24, 11],\n [-20, -6, -13, -12, -23, 18, 15, 18, 15, -1, 25],\n [-11, 16, -13, 2, 17, -22, 12, 0, 19, -7, -25],\n [16, 3, 2, 9, -13, 25, 19, 7, -21, -12, -17],\n [-22, -24, -12, -23, -22, 19, -19, -11, 2, -22, 22],\n [-14, -9, -9, -20, 25, 18, 22, -23, -14, 8, -25],\n [25, -21, -20, -11, -5, 22, 8, -17, -18, 10, -21]]\nB =\n[[0, -17, -5, 17, -3, -3, 2, -19, 8, 3, -2],\n [1, -5, 8, -14, -9, -20, -25, -17, 16, -4, 12],\n [-25, 2, -10, -16, 3, 20, -12, 20, -13, -24, -6],\n [-24, -8, -21, 0, -22, 13, 5, -22, 19, -15, -24],\n [-17, -13, 16, -10, -8, 11, 3, 6, -8, 1, -12],\n [-17, 8, -15, -3, -1, -8, 14, -19, 7, 3, -20],\n [-22, -9, 0, 18, -9, 15, 2, 11, -24, -16, 5],\n [11, -7, -17, 17, 23, 0, 21, 10, 8, -8, -8],\n [-15, 20, -13, 8, -9, 4, -7, 1, 22, 4, 21],\n [-7, 1, -15, 8, 11, -10, 10, -7, -23, 14, -24],\n [20, 17, 11, -14, -8, -17, 5, 23, 22, 4, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1527", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -13, -11, -19, 16, -10, -25, -10, 10, 16, -25],\n [25, 18, -25, 24, 23, 11, -4, 2, 24, 9, -8],\n [22, 18, -15, -9, 13, 11, 5, 15, 6, 22, 7],\n [24, 12, -10, 8, -12, 10, -11, -9, -17, -12, 19],\n [-2, -15, 3, -1, -22, 6, 6, -23, -20, -7, -9],\n [22, -21, -16, 1, 10, 6, -5, 22, 6, 17, 8],\n [23, -11, -17, -24, 13, 19, -20, 1, -5, 8, 14],\n [-4, -18, -6, 12, -17, -7, 6, -15, 2, 23, 10],\n [-5, -24, -19, -1, 16, 10, -5, 12, 15, -13, 0],\n [-3, -13, 10, 3, -17, -6, -5, 15, -18, 0, 12],\n [1, -3, 5, -12, -9, -18, -16, -11, 5, -3, 8]]\nB =\n[[-3, -5, -16, -4, 16, 3, 23, -9, 2, 14, -3],\n [18, -25, 16, -24, -9, 8, -13, -19, 0, 2, -19],\n [-17, 21, -1, 15, 13, 18, -18, -19, -20, -16, 1],\n [-6, -23, 4, 4, 6, 5, -5, -6, -14, 9, -8],\n [-3, 2, -12, 22, -18, -10, 23, -25, -21, -21, -3],\n [-8, 9, -22, 3, -10, -6, -3, -21, 22, 11, 24],\n [3, -25, -25, 5, 17, -18, 7, 15, 24, 6, 14],\n [-8, -18, -1, 14, -13, 22, 22, -4, -19, 6, 4],\n [-22, 10, -7, 0, -12, -11, -18, 9, -14, -22, 25],\n [-14, 6, 15, 7, -16, -1, 17, 17, 14, -9, -15],\n [16, 16, 19, 23, 5, -11, -12, -15, -15, 24, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65048", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[16, -24, 1, -5, 25, 14, 6, -8, 19, -5, -12],\n [-16, -21, -25, -11, -3, 0, -22, 0, -3, 2, 21],\n [17, -13, -10, -16, 17, 20, -16, -25, -4, 12, 2],\n [-20, 20, 2, -2, 19, 15, 3, -20, -25, 3, -21],\n [24, -14, -18, 17, -19, -20, -18, 9, 0, -25, 1],\n [2, 22, 5, 16, 24, 22, -16, 2, -14, -11, -24],\n [-8, 18, 17, -3, -16, -20, -9, 23, 23, -23, -25],\n [-16, -22, 11, -13, 2, 5, -9, 9, -9, -22, -12],\n [11, 7, -14, -24, -20, 19, 8, 24, 14, 3, -15],\n [-16, 10, -7, -24, -24, -13, 5, 14, -25, -12, -10],\n [-13, 21, 21, -1, 12, -19, 4, -9, 17, -2, 12]]\nB =\n[[-9, -9, -1, 16, -17, -23, 19, 20, 6, -23, -25],\n [14, -18, 4, 9, 1, -13, -20, 6, -23, -22, 2],\n [19, 18, -3, -13, -3, -23, 12, -2, -14, -17, -25],\n [-6, -9, 6, -21, -6, 0, 17, 24, 13, 2, -19],\n [-18, -3, -19, 17, -2, 22, -3, -8, -2, -13, -18],\n [19, -3, 15, 14, 21, -7, -7, -16, 9, -16, 18],\n [-18, 18, -14, -2, -19, -4, 20, -24, 10, -6, 22],\n [-11, -7, -15, -24, 15, -20, 22, 15, 25, -5, -25],\n [16, -11, 24, -7, 12, 16, -9, 6, -8, 23, 0],\n [11, -16, 8, -8, -6, 16, 23, -9, -8, -6, -23],\n [7, 2, -4, 14, -9, -3, 9, 9, 6, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1415", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[23, -13, 21, -8, 17, -16, 5, 15, -7, -18, 22],\n [-18, -9, -20, -11, 9, -25, 11, 24, -1, -20, -3],\n [20, -4, 19, 12, 7, -2, 4, 25, 21, 17, 0],\n [25, 18, -25, -10, 21, -7, 10, 2, -21, 22, 1],\n [-8, -14, -20, -25, 16, 17, -25, 22, 10, 2, -17],\n [25, -4, 17, 18, -21, -12, -10, -14, 13, -6, -3],\n [20, -8, -19, -21, 12, 16, -24, -25, -9, 15, -13],\n [-17, -14, 20, 21, -18, -1, -14, -14, 7, 20, -8],\n [10, 14, 6, 14, -22, 14, 1, 3, -24, 23, -14],\n [19, 15, -7, 21, -7, 0, -5, 20, -4, 11, 13]]\nB =\n[[-14, -6, 10, -25, -19, 9, 16, -14, 6, -1],\n [-18, -11, 15, 12, -10, -19, 21, 13, 14, 20],\n [22, -1, 22, 7, -21, 4, -24, 18, 16, 8],\n [-12, -16, 13, -5, -1, 21, 11, 13, 5, -12],\n [-21, -1, 19, -24, 9, 22, -6, -16, 14, -20],\n [16, 7, -12, 25, 23, 0, -4, -12, 10, 18],\n [24, -3, -10, -1, 17, -7, 16, -15, 4, -1],\n [5, -9, 0, -20, -15, -25, -13, -10, -15, -4],\n [10, 6, -23, 1, -10, 11, 1, 9, -24, -8],\n [22, -1, 10, -7, 16, -1, 13, -5, 12, 14],\n [-14, 3, -19, 3, 6, -15, 11, 21, -11, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60067", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (9, 9) of the result:\nA =\n[[-24, 3, -22, 8, 9, -16, 8, 22, -2, 14, 4],\n [-21, -21, -16, 9, 22, -15, -9, 19, -25, 10, -20],\n [4, 9, -13, 25, -25, -3, -13, 8, 17, -10, -15],\n [1, 3, -25, -4, 15, -1, -19, -5, 0, -8, 7],\n [25, -2, -16, -13, 5, -8, -15, 6, -5, 15, 25],\n [0, 20, -18, -9, 10, -4, -17, 19, -21, 25, -12],\n [19, -15, 25, 5, -19, 13, 17, -5, 18, 3, -15],\n [12, -13, 18, 14, 17, -1, 23, 24, 10, 11, 4],\n [2, -22, 15, -6, -14, 20, -13, 0, 12, 10, -3],\n [16, 22, -6, 17, -23, -15, 4, -16, -13, -16, 5]]\nB =\n[[18, 11, -1, 3, -5, -11, 16, -15, 8, 23, -15],\n [19, -18, 8, 15, 0, -5, 24, -2, 22, 6, -8],\n [18, 0, 15, 25, -10, 15, 11, -6, 25, -11, -22],\n [14, -10, -14, 9, 0, -17, -10, -11, -6, -23, -21],\n [14, 13, -13, 22, 17, 3, 20, -19, -18, 1, -17],\n [6, 19, 10, 10, 12, 18, 13, -15, 10, 24, -19],\n [13, -5, -11, 20, -2, 21, 15, -3, -17, -14, -18],\n [-4, 24, 21, 8, -6, 17, 6, -13, 13, -6, -18],\n [-20, 9, 7, -1, -12, 7, 14, 25, -10, 12, 15],\n [12, -23, 12, -16, 19, 7, -10, 5, 18, 19, -1],\n [-12, 17, 20, -18, -17, -13, -12, -11, -21, 13, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "739", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-23, 7, -7, 5, 6, -24, -10, 24, -21, 12],\n [4, 23, -8, 10, 15, 12, 24, 23, 2, 7],\n [-24, -24, 6, -14, 13, 25, -20, -11, 6, 21],\n [19, 19, -11, -16, -11, 7, 13, 21, 9, -14],\n [11, 9, -22, -16, -6, 17, 5, 5, 5, -6],\n [22, -17, -13, 11, 15, -2, -1, 4, -2, -17],\n [3, -16, -12, -4, 19, -14, -18, -23, 0, -6],\n [-9, 5, -13, 16, 24, 6, -20, 24, 25, 6],\n [6, 17, 6, -25, 15, -15, -14, -5, -5, -16],\n [-17, -14, 6, -5, -8, 24, 15, 13, -21, -21],\n [18, -19, -12, 15, -4, 7, 9, 3, 17, -11]]\nB =\n[[5, 2, -8, -18, 7, 19, -11, -19, 9, 24, 10],\n [14, 11, -13, 15, 15, -15, 25, 24, 10, -3, 25],\n [-3, 20, 10, 23, -22, 16, 18, 8, 20, -19, 11],\n [-6, 9, 3, 7, 10, -19, 6, -21, -11, 19, 19],\n [13, -24, 14, 10, -25, -10, -20, -18, -10, 14, 21],\n [-14, -20, 11, 22, -24, 14, -15, -15, -16, 8, -15],\n [16, 8, -15, 9, -18, -16, 6, 5, -22, -23, 19],\n [20, 4, -15, 21, 8, -23, 16, -5, 15, -15, -15],\n [-2, 9, 14, -13, -1, -21, -16, 12, 8, -22, -1],\n [23, 9, -4, -3, -2, -16, -23, -15, 8, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10915", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[25, 17, -7, 2, 22, 12, -5, 21, -9, 24],\n [21, 16, -9, -18, -3, 1, 21, 0, 16, -7],\n [8, -11, -22, -25, 18, 2, 14, -16, 2, 10],\n [-8, 14, -23, 17, 20, -10, 2, -25, -11, -14],\n [6, -1, 21, -10, 10, 13, 11, -5, 20, -16],\n [-14, -12, 25, 1, -8, 24, 8, -15, -11, -21],\n [11, 13, 8, -1, 7, 7, -11, -25, 12, 19],\n [-19, -14, -22, 0, -16, -18, 24, -1, 6, 17],\n [12, 1, -10, 25, 2, -4, -23, 12, 17, 11],\n [-8, -12, 5, 2, -21, 23, -18, -8, -3, 6],\n [22, 10, -14, 25, -2, -23, -4, -24, -2, -18]]\nB =\n[[11, -25, 11, 20, -22, -18, -1, 6, -10, 5],\n [-21, 17, -13, -18, -15, -23, 7, -22, 25, 20],\n [-4, 8, 20, 13, 17, 9, -9, 6, 0, -11],\n [6, -22, 4, -7, 16, -9, -9, -14, -11, 3],\n [-15, 1, -12, -11, -13, 8, -21, -20, 21, 3],\n [17, 7, -2, 18, 23, 3, 7, -24, 8, 4],\n [-8, -4, -23, -10, -16, -11, -14, 19, -14, 13],\n [25, -11, 1, -6, -19, 0, 1, -12, -13, -12],\n [-6, 18, 6, 13, -24, -10, -8, 7, 7, 21],\n [3, -1, 6, -16, -13, -23, -3, 0, -21, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58660", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 6, 14, 8, 13, 5, -14, 12, -5, -4],\n [4, -6, -4, -24, -19, 12, 7, 23, 2, 2],\n [-20, 5, 10, -16, -7, -20, 8, -18, -20, 15],\n [21, -1, 25, -11, -4, -22, -17, -4, -8, 19],\n [17, -2, 9, -23, -8, -1, -6, 13, -1, 23],\n [-13, -12, 4, 18, 14, 2, 4, 25, 7, 24],\n [20, -8, 2, 11, -17, -12, -21, 9, 23, 22],\n [-19, 22, 20, 18, -25, 25, 19, 9, 12, -24],\n [23, -22, -16, 9, 18, 8, 13, 17, 6, -5],\n [-5, -3, 10, -11, -25, 3, 4, -7, 7, -2],\n [-20, -16, 20, 21, -8, -19, -16, 2, 13, 8]]\nB =\n[[16, 8, 1, 16, 23, -23, -19, 24, -11, 13, 9],\n [-25, -12, 25, 15, 0, -4, -6, 10, 10, 9, 20],\n [-10, -20, -4, -19, 5, -9, -10, 24, 16, 14, -12],\n [-17, -10, -18, 16, 1, -12, -24, 14, -2, -18, -19],\n [-11, -3, 3, 1, 20, -15, -17, 8, 7, 16, 3],\n [-12, 5, 12, 25, 13, 19, 1, -8, -15, 9, -8],\n [-19, -7, 16, 2, -19, -24, 20, 6, -4, 4, -12],\n [-23, -17, -11, -20, 18, -1, 20, 22, 14, 16, -22],\n [-5, -23, -23, 13, 4, -23, 0, -16, -21, -12, -16],\n [-17, 12, -23, -15, -23, 12, 22, 12, 13, 15, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3314", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, -12, -23, -20, 20, 16, -12, -10, -1, 18],\n [23, 1, -4, -15, 11, 17, -7, -7, -10, 4],\n [-18, 4, -18, 25, 11, 3, -12, 24, 10, 10],\n [13, -14, -13, -14, -12, -16, 18, -18, -2, 11],\n [17, 22, -1, -18, -13, -23, -17, 14, -16, 21],\n [20, -7, 2, -8, -8, -18, 15, 14, -18, 10],\n [6, -5, 19, -23, -2, -10, -7, -4, -4, 23],\n [-13, -14, 2, -18, -17, -6, -11, -22, -2, 22],\n [19, -20, -3, 14, -11, 4, -6, 1, 1, 8],\n [7, -16, -17, -18, -12, -25, -16, -22, -8, 4],\n [15, 0, 17, -12, 3, 25, -17, 11, 24, -4]]\nB =\n[[-2, 9, 10, 5, -11, -19, 9, 1, 18, 16],\n [8, -1, 18, -20, -22, -24, 13, -12, -22, 9],\n [-13, 3, 24, 8, 0, 17, 13, 0, -22, -12],\n [21, -15, -23, -3, -18, 18, 0, -12, -21, -4],\n [-12, -14, -23, 19, 4, -6, -23, 7, -13, 20],\n [-8, -15, 0, -19, 0, -23, -25, -9, -14, 23],\n [12, -17, -9, 13, -8, -3, 1, -24, 1, 15],\n [24, -11, 24, 18, 11, -21, 5, 15, 23, 11],\n [9, -7, 2, -24, 10, -6, 24, 25, -23, -18],\n [14, 4, -14, 23, 13, -9, -24, 11, -3, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19969", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, -7, 18, -24, 6, 7, 17, 14, -3, -12],\n [-10, 8, 14, 18, 21, -6, 18, 20, 16, 10],\n [3, 23, -17, -17, -1, 21, 25, -9, 24, -19],\n [-10, 11, -8, 13, -12, -8, -18, 23, -1, -6],\n [-25, 20, -2, 20, -13, -15, 12, 7, 4, -9],\n [20, -21, 13, -4, 25, -11, -16, 12, -25, 20],\n [-11, 16, 16, 3, -5, -11, 9, -21, -7, -12],\n [-11, 25, -7, 1, -10, -7, -3, 10, -8, 19],\n [-2, -19, -1, 22, 18, 19, -19, -21, 15, -2],\n [-6, -5, -6, -16, -3, 20, 7, -11, 8, -11]]\nB =\n[[-21, -17, 1, 2, -17, 24, 10, -17, 5, 17],\n [19, -12, -11, 24, 15, -24, 20, 17, 6, 1],\n [-19, -12, 3, 14, -6, 13, 25, -21, -8, -18],\n [24, -19, -2, -4, -6, 1, -6, -20, -18, -11],\n [-4, 9, 16, -13, 2, -6, 3, -21, -23, 1],\n [-21, -6, -3, 6, -14, 23, 23, 6, 24, -10],\n [1, -25, 25, -14, -13, -18, 18, 13, 3, 13],\n [-10, -21, 17, 19, 7, -6, 12, 10, 6, 22],\n [24, -24, -14, 24, 13, -14, 8, 15, 8, -14],\n [-9, -20, 4, -4, 11, -3, -10, 17, 0, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[21, 14, 5, 20, -24, -23, -2, 1, 11, 10],\n [-9, 18, 14, 17, 4, -22, 15, -8, 14, 1],\n [5, 12, 14, -14, 5, 2, 22, 10, 0, 23],\n [-13, -8, 17, -9, 15, 6, 11, -4, 20, 9],\n [-10, 24, -23, 20, -4, 5, -10, 23, -24, 14],\n [-4, -12, -12, 21, -21, 1, 21, -10, -22, -3],\n [20, -16, 5, -9, 17, 13, 1, 14, 25, -11],\n [-2, 9, -13, -12, -20, -20, 6, -5, -5, 4],\n [-4, -7, 21, -24, 7, -25, -2, 19, -5, 14],\n [22, -16, -14, -3, -14, -10, -23, -24, -20, -4]]\nB =\n[[21, -23, -17, -5, 11, 7, -25, -25, 19, -19],\n [11, 14, 15, -14, 6, 1, 16, 20, 3, 20],\n [-24, 20, -7, -1, 9, -25, 2, -8, 20, -8],\n [-2, 25, 3, -7, 25, 5, 5, 18, 22, -4],\n [3, -6, -24, -22, 20, -7, -19, 16, -10, 7],\n [13, 17, 17, -6, 20, -22, -11, 17, 4, 13],\n [17, 17, -12, -20, -4, 18, -8, 20, -11, -5],\n [10, -14, 1, -15, 5, -25, -1, 25, -1, -9],\n [-19, 6, 22, 17, -1, -8, 9, 0, -14, 24],\n [13, -12, -18, -4, -14, 6, 20, -13, 7, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4946", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (10, 6) of the product matrix AB given:\nA =\n[[2, -23, 23, -10, 24, 6, 18, -16, -25, -19],\n [21, -19, 20, 24, -22, -22, -1, -21, -19, -23],\n [21, 9, -15, -14, 13, -10, 15, 17, -19, -5],\n [-16, -8, 3, 0, 4, 19, -25, 12, 21, -11],\n [-1, -7, 2, 23, 7, -11, -12, 12, 9, 6],\n [-12, -13, 15, -5, -14, -11, -2, -6, -25, 17],\n [-12, -24, -18, -15, -6, 18, -9, -14, -6, -16],\n [-5, -23, -22, -2, 11, 1, 22, 5, -16, -22],\n [-14, -11, 0, 8, -25, 19, -8, -17, 21, 24],\n [8, 25, 4, -22, -2, 24, 20, 19, 0, -19]]\nB =\n[[20, 25, 19, -5, 19, -12, 24, 25, 8, -16, -15],\n [19, 23, 14, 25, -19, 9, 14, 2, -11, 12, 15],\n [23, -25, 24, -12, 21, -13, -4, -5, 15, 11, -8],\n [15, -17, 13, 5, 10, -21, 5, -25, -4, -11, 0],\n [3, 15, 1, 8, -5, -14, 9, 8, 7, 16, -3],\n [-18, 12, -7, 25, 9, 1, 4, 19, -6, 2, -16],\n [16, -1, -12, -25, 4, -13, -1, -14, -2, -20, -17],\n [12, -3, -20, 19, 9, 2, -21, 16, -6, -10, -6],\n [24, -4, 25, -3, -14, 21, 7, 13, 2, -22, 21],\n [22, 13, -18, -5, 22, 24, 23, -14, 9, -10, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 4) of the product of the following matrices:\nA =\n[[-21, -14, 0, 11, 15, -17, 15, 2, 14, -18, -24],\n [24, -4, 21, 4, -10, 22, -2, 1, 7, -20, 4],\n [16, 0, -12, 5, -10, -5, -24, -18, -19, 0, -5],\n [-8, -8, -25, 1, -18, 2, 12, -24, -4, -6, -12],\n [9, 5, 15, -23, -18, 0, -2, -11, 11, 12, -11],\n [18, 9, 12, -9, 5, -24, -21, -24, -24, 0, 12],\n [11, -16, 1, -18, -16, 9, -2, -2, 5, -22, 14],\n [-12, 10, 0, -14, 1, -20, 1, -12, 18, -4, 23],\n [-6, -23, -17, -10, 16, -17, 23, 6, 8, -1, 1],\n [1, -24, -4, -24, 22, -25, 14, 13, -16, -14, 11],\n [20, -9, -23, -5, -14, 22, 1, -11, 11, 19, 15]]\nB =\n[[-23, -21, 8, 8, -5, -13, -1, -12, -8, 19],\n [-23, -23, 19, 6, 20, -8, 6, 6, 10, 18],\n [3, 13, 11, 9, 1, 14, -2, 10, 9, 14],\n [-20, -19, -12, -9, 1, 16, 18, -20, -23, 13],\n [9, -24, -7, 16, -3, -9, -17, 14, -17, 9],\n [-17, -14, -23, 11, -5, 2, 7, 8, 17, -4],\n [11, 4, 5, -10, 9, -25, -17, -25, -3, 11],\n [-8, -22, -16, 1, 21, -24, -22, 14, 7, 15],\n [-18, -11, -19, 20, 4, 19, -2, -6, -21, -19],\n [11, -24, -16, -13, -5, -23, -12, -10, -18, -2],\n [-12, 24, -20, -2, 3, 0, 8, 18, -21, 8]]\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[[16, 8, -13, -23, -21, -4, -5, 1, -2, 13, 22],\n [-18, -22, 10, -20, 5, -21, 18, -20, -24, -25, 3],\n [-3, 20, 17, -8, -23, 25, -10, 10, 5, -4, -18],\n [-4, -13, 12, 3, -10, -16, 20, 8, 7, -12, 22],\n [6, -3, -11, -1, 0, -14, -7, 23, 21, 14, -7],\n [6, -16, 1, -3, 15, -8, 9, 24, -13, -24, 10],\n [-4, -6, -19, -14, -11, 3, 22, -18, -3, -13, 7],\n [-21, -7, -19, -22, 11, -17, -7, -1, -25, 17, -22],\n [-8, -19, -7, -3, 2, 3, -20, 18, 1, 22, 20],\n [-22, -3, 4, 19, -2, 6, -15, 4, 0, -10, 17]]\nB =\n[[-20, -1, -6, -16, 13, 20, -25, 18, -15, -14, -6],\n [-14, 18, -10, -11, 0, -15, -23, -24, 18, -7, 6],\n [-3, 18, -2, -13, -25, 13, -21, 17, -13, 11, -18],\n [25, 23, 23, 22, 14, 4, 18, 2, 3, 10, -6],\n [-21, -19, 4, 12, -19, -15, -15, -6, 7, -11, -22],\n [25, -16, 12, 14, -23, -2, -24, -3, 25, 16, -7],\n [-18, 0, -8, 18, 22, -17, 14, 10, -17, 7, -15],\n [16, 15, -2, -2, 6, 7, 14, -9, 0, 19, 7],\n [-24, -24, -12, -5, -3, -4, 10, -25, 6, 3, -21],\n [10, -1, -4, -21, -23, -2, 7, 2, 21, -5, -10],\n [-15, -20, 25, -7, 12, -8, 18, -16, -14, 23, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7857", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-11, -14, 24, -21, -25, 12, 8, -14, 4, -15],\n [-17, 18, 20, -19, -9, 0, 1, 7, 13, -21],\n [11, -17, -3, 4, 10, -25, -18, -25, -16, -19],\n [12, -23, 16, -19, -18, 8, 14, 16, 6, 6],\n [20, -21, 1, -13, 16, -14, -16, -25, -5, -19],\n [-16, -9, 11, 22, -25, 16, -13, -3, 23, 2],\n [16, -7, 6, -16, -8, -18, -10, 9, 18, 12],\n [23, -9, 22, 22, -3, 0, 14, 22, -3, 24],\n [-3, 19, -19, -14, -4, -9, -13, 12, 22, -12],\n [-19, 24, -7, 13, -19, 1, -9, 8, 20, -15],\n [-17, 13, -23, -3, 14, 24, -22, 19, -10, -5]]\nB =\n[[-1, -21, -25, 20, 6, 11, 20, -6, -15, 7, 10],\n [6, -7, 13, 18, 19, -8, 10, 16, -2, 6, -17],\n [-2, -11, 21, 20, 19, -4, 8, -16, -24, 16, 13],\n [16, -19, -25, -17, 16, 0, -11, 19, -4, -3, -23],\n [20, -15, 25, -4, 14, -12, 19, -10, 8, -21, -18],\n [-24, -15, 25, 15, 19, 15, 15, 25, 23, 22, -3],\n [-25, -16, -20, -23, -7, 3, -11, -3, 23, -18, -1],\n [-2, 12, -14, -25, -22, 13, 4, 8, 17, 15, 7],\n [18, 4, 14, -13, 4, -7, -6, 12, -22, -3, -1],\n [-15, 5, -14, 15, 8, 4, 18, -10, 6, 22, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5315", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -18, 5, 10, -13, -8, 9, 1, -20, -16],\n [11, 21, 18, -19, -10, -24, 17, 16, 21, -1],\n [0, 0, -8, 12, -6, 25, 2, -23, 10, 14],\n [-25, -16, 18, 5, -6, -18, 22, -19, 25, 9],\n [17, 14, -6, -23, -15, -14, 16, 16, 20, -14],\n [16, -18, 19, -4, -6, -11, 23, 5, 20, 4],\n [14, 5, -6, -24, -20, -12, 0, 7, -3, -1],\n [12, 11, 2, 9, -19, -24, -9, 1, 22, -24],\n [-14, -10, 6, -8, -10, -21, -2, 23, -15, 20],\n [16, -2, -12, 18, 10, -25, 0, 0, -22, 0],\n [-22, 6, -10, 11, -10, 14, -6, -9, 23, -6]]\nB =\n[[6, 22, 16, -15, 3, 1, -5, 13, 3, 11],\n [6, 15, 15, -14, 25, -2, 0, -5, 5, -19],\n [19, 7, -9, 14, -8, -25, -6, -5, 21, 19],\n [16, 12, 6, -4, -1, 6, 5, 9, -13, -10],\n [11, 15, -7, 21, 15, -11, 20, 25, 23, 7],\n [-25, 25, -13, -2, -3, 12, 3, -10, 23, 6],\n [18, 11, -10, 17, 13, 20, -2, 14, -5, 7],\n [1, 3, 7, 10, 12, 24, 6, 20, 2, 25],\n [23, 12, 0, 22, 21, 21, -20, -7, -11, -9],\n [8, -25, -7, -23, -9, 13, 20, -12, -15, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 9) when matrix A is multiplied by matrix B?\nA =\n[[4, 13, 1, -8, -3, 23, 1, 18, 18, -15, -13],\n [18, -3, 0, 16, 8, 9, 17, 12, -6, -2, 6],\n [0, -24, -13, -23, 13, 10, -14, 1, -12, -16, 15],\n [12, -14, 14, -15, 24, -24, 5, -16, 19, -20, 16],\n [-4, 21, -7, -16, 21, 1, 2, -16, 19, 25, -9],\n [-11, 17, -14, -6, -10, 21, -6, 24, 1, -4, 1],\n [-13, -21, -9, 8, -4, 4, -23, -19, 23, -11, -19],\n [-23, 3, -20, 23, 1, -25, 23, 8, -18, 21, -1],\n [-11, 12, -15, -17, 1, -13, -14, -15, 9, 18, -3],\n [-5, 2, -19, -13, 5, 9, -9, 25, -2, -4, -16]]\nB =\n[[-10, 11, -20, -14, -25, 24, -10, 25, 8, 11, 1],\n [-21, -7, -15, 11, 17, -15, -18, -10, 5, -15, -25],\n [21, -9, 22, 23, -1, 21, 25, 17, 0, 8, -24],\n [-10, 5, -4, -4, 6, -20, -24, -19, -15, -16, -10],\n [25, -25, 9, 12, 13, -16, 9, -13, 16, -12, -14],\n [18, -23, 12, 20, -15, 8, -1, -3, -18, 17, 18],\n [1, 24, -22, -2, -13, 15, 5, -12, -6, 11, -4],\n [-14, -23, 6, -21, 6, -14, 2, 1, -3, -22, -21],\n [12, 19, -17, -17, 3, -9, -7, -24, 6, -11, 15],\n [-24, -12, 22, 6, 13, 23, 0, 20, -14, 16, 0],\n [10, -14, 23, 7, 0, -3, -13, 11, 14, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "696", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[15, -7, 20, -1, 9, -5, -20, 23, -10, -2, 25],\n [-10, 4, 2, -16, -9, -6, 22, 10, -2, -10, -6],\n [0, 3, 22, -4, -6, 6, 3, 22, -3, 8, -14],\n [-7, -9, 13, -4, -16, -8, -21, -25, 0, -1, 24],\n [-13, 13, 13, 20, -14, -6, -20, -8, -24, -17, 7],\n [-25, -15, -4, -22, -5, 3, -6, -21, 25, 1, 17],\n [7, -8, -4, 18, 15, 11, 20, -8, -5, -20, 2],\n [-24, -11, 20, -15, -15, 0, 1, 17, -3, -18, 20],\n [-6, 8, 0, -25, 19, -2, 15, 3, -15, -18, 4],\n [-11, -8, -1, 21, -15, 22, 25, 20, -17, 24, 6]]\nB =\n[[-14, 21, 16, -3, -2, -7, -16, -8, -11, 4, 21],\n [24, 8, 16, 13, -13, 16, -3, 19, -4, 1, -21],\n [-15, 14, -20, -23, 6, -16, 14, -6, -8, 8, -8],\n [-24, -13, 20, -13, 21, 0, -14, -14, -14, 18, -3],\n [-8, -2, 21, 1, -20, 14, 19, -23, 25, 25, 5],\n [20, 6, 2, -17, 8, 1, 1, -1, 16, -7, -12],\n [14, -7, -14, 5, 10, -1, -20, -12, -19, 3, 0],\n [8, 13, 10, 25, -15, -14, -9, 17, 15, -3, 5],\n [-8, 0, -3, 24, -18, -3, -15, 5, -7, -4, 15],\n [-9, 23, 1, 5, -9, -9, 18, 8, 9, -15, -6],\n [-22, -23, -18, 10, 10, 17, -7, -6, -21, 0, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1605", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 7) when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, 24, -16, -2, 10, 6, -1, 16, -11],\n [13, 8, 18, -10, 21, 18, -16, 24, -20, 20],\n [11, 18, 21, 15, -5, 19, -24, 23, 12, -7],\n [15, 12, -3, 17, 19, -9, -20, 22, 18, 23],\n [8, -11, 1, -4, 9, -7, -24, 18, -6, 19],\n [7, -9, 14, 15, -24, -14, 24, -8, -3, -7],\n [-21, -5, 20, -6, -10, -20, 17, 0, 6, 9],\n [-3, 11, 23, -8, 16, -5, 22, -13, 2, -12],\n [15, 4, 11, 9, 21, 15, 15, 14, -4, 9],\n [12, -13, -17, -10, -13, -8, -17, -18, -7, 24],\n [-10, -15, 17, 2, 6, -7, -19, -2, -3, -19]]\nB =\n[[14, 14, 11, -11, -3, -11, -18, -17, 11, 1, -4],\n [-4, -6, -5, -12, -5, -4, 7, -12, -13, 24, -4],\n [0, -5, -11, -15, -14, -20, 6, -2, -9, 13, 8],\n [-2, -1, -4, -3, -4, -6, 19, -14, -9, 1, -25],\n [14, 19, -25, 11, -12, 17, 0, -23, 21, -4, 13],\n [-10, -18, -15, -1, -9, 24, -1, -6, -11, -19, -4],\n [6, -1, -11, -16, -21, -9, -20, -23, 5, 17, -18],\n [7, -3, 17, -14, -16, 7, -13, 25, 22, -20, -2],\n [1, 2, 9, -2, -16, -6, -4, 19, -7, -8, 24],\n [-10, -16, 22, -20, 20, 21, -13, -18, -2, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-21, -22, 0, 9, -11, 9, 25, -15, 7, 14],\n [-22, -5, -23, 6, 9, -25, -8, -20, -7, 5],\n [22, 23, -18, -20, 13, -3, -22, 19, -14, -11],\n [25, -22, -16, 4, 13, 20, -14, 16, 13, -18],\n [-20, -9, -3, 24, -19, 7, -19, 6, 3, 4],\n [-13, 12, 21, -8, 4, -5, 12, 4, -8, 8],\n [3, 23, 19, 25, -6, 5, 21, 10, -7, -13],\n [-13, 19, -20, -3, 2, -25, 21, 24, -20, 13],\n [16, 17, 14, 7, 22, -5, -13, -9, 5, -10],\n [22, 14, 19, 19, -9, -18, 16, -1, 5, 2],\n [14, 12, -18, 22, 18, 25, 25, -24, -17, 24]]\nB =\n[[-6, -22, 9, 17, 6, -17, 4, 23, -25, 23],\n [6, 11, -8, 12, -4, -7, -10, 16, -5, 23],\n [13, -22, -11, -14, -10, 3, -1, 25, -13, -6],\n [8, -7, -15, 3, 2, -7, -8, 23, 3, -6],\n [2, -18, 14, 14, 20, 9, -21, 15, -1, -6],\n [-19, 2, -1, 2, 12, -13, 4, 13, -18, -23],\n [-10, -10, -3, -16, -20, -7, 12, 0, -8, 1],\n [-6, 20, -20, -9, 4, 25, -10, -1, 25, -10],\n [-20, 11, -19, 15, 6, -9, 1, -23, 2, 8],\n [3, -22, 1, -6, -14, 9, -16, -12, -4, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2235", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 0, -15, -6, -18, 3, -17, 12, -20, 2],\n [0, -17, 19, 0, -1, -20, -5, -5, 21, 15],\n [1, -15, -6, -9, 8, 25, -4, -10, -5, -13],\n [8, 17, 19, -19, 6, -13, 6, -7, -2, 18],\n [14, -21, 2, -9, 14, 4, 24, -15, 19, -11],\n [10, -16, -6, 4, 9, 9, 6, 25, -14, 20],\n [-19, -8, 2, 19, -15, 8, 9, -14, -14, -11],\n [14, -7, 14, -16, -18, -4, -5, -6, -21, 16],\n [-25, 1, 10, 17, 7, 0, -12, -4, 18, 6],\n [-15, 3, 12, 3, -16, 25, -25, 23, 13, -6],\n [4, 8, 5, 13, 16, 24, 18, 17, 4, 22]]\nB =\n[[13, -12, 9, -1, 3, 14, -25, 9, -5, -9, -12],\n [-16, -16, -25, -14, -11, -11, 16, 7, -20, 20, 4],\n [2, 16, 5, -9, 7, -5, 24, 25, -3, -23, 23],\n [2, 2, -9, 11, -12, -10, -1, -23, -21, -20, 5],\n [-22, -23, -22, 13, 9, 18, -16, -21, -12, 8, -24],\n [-11, 8, -22, 16, -14, -13, -17, -22, 5, 18, -20],\n [-19, -8, 24, 12, 25, 4, -4, -12, 10, -14, 22],\n [20, -18, -1, 16, -15, -1, -10, -9, 16, 2, -22],\n [22, 8, 0, 22, 24, -20, -5, -18, -22, -15, 8],\n [-24, -7, 13, -23, -17, 5, 22, 13, 20, -14, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-17, 13, 6, -21, -18, 16, 6, 25, -4, -2],\n [25, 1, 15, 24, -9, 19, 18, 6, 16, 12],\n [19, 22, 4, 10, 2, 24, -7, -8, 18, -6],\n [-16, -15, 14, 21, 8, 13, 12, -9, 23, -3],\n [-19, 25, -20, 16, -2, -18, -22, -9, -24, -4],\n [25, 25, 10, -10, 23, -5, 14, -18, -19, -19],\n [-22, -1, -20, -8, 17, -11, -5, -10, 18, -2],\n [-15, -19, 16, -23, 11, 15, -4, 0, -22, -10],\n [-9, -7, -11, -19, -24, 14, 19, 19, -3, -18],\n [-25, -9, 13, -18, -5, 24, 16, 0, 5, 7]]\nB =\n[[4, 4, 10, -5, 15, 11, -5, 3, -18, 13, -21],\n [-12, -5, 12, -11, 4, -19, 1, -18, 9, 15, 13],\n [5, 19, 4, 1, -25, 7, -12, -19, 17, -4, 25],\n [-21, -5, 24, 5, 1, 18, -11, -3, -9, 4, 10],\n [-24, -24, 7, 23, -6, -16, -21, -9, 21, 25, 13],\n [-8, -17, -16, 6, 13, -8, -2, -24, -10, -11, 25],\n [-6, 14, 21, 14, -19, -8, -1, -13, -15, 11, -18],\n [1, -6, 8, -22, -11, -13, 23, -4, 0, 24, -17],\n [-21, 4, -22, 5, -12, -1, 23, 2, -11, 22, -23],\n [5, -13, -17, -24, -3, 22, 7, 2, -18, 10, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4381", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 5) when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, -11, -2, -21, 1, 7, -5, -9, 9, 0],\n [20, -1, -5, -15, -2, -12, -2, -17, -24, -20, -1],\n [-9, -23, -21, 6, 22, 3, 10, 10, -1, 2, 9],\n [-13, -11, 23, 1, -15, -20, 1, 16, 4, 7, 12],\n [-7, 19, -4, 13, -13, -22, -20, 3, 4, -1, -11],\n [-14, -5, -8, -1, 12, -21, -14, 23, 3, 16, -4],\n [14, 5, 22, 2, 21, -3, 20, 24, -10, 14, 7],\n [13, -22, -20, 21, -15, -16, 5, -19, -12, -20, 11],\n [21, -8, 7, 4, -6, 2, 17, -25, -9, 0, -8],\n [12, -2, -8, 13, 21, -11, 10, 0, 6, -6, -20],\n [1, -18, 13, -4, 11, 12, -19, -17, 8, 22, 8]]\nB =\n[[2, -17, 4, 12, 15, 5, -18, -18, 11, -12],\n [-17, 17, 8, -1, -17, -23, 12, 6, 1, 25],\n [-16, -24, -8, 14, -2, -3, 15, 23, -24, 15],\n [8, 1, 21, 9, -18, -19, -13, -14, 25, -13],\n [-9, -11, -12, -7, 9, -8, -9, -6, -1, 11],\n [-3, -3, -15, 20, -6, -19, -3, -3, 1, -5],\n [-5, 6, 24, 2, 11, -24, 3, 24, -17, 9],\n [12, 13, 21, -22, -4, -3, -20, 10, -6, 25],\n [-21, -14, -25, 13, 15, -23, 16, 17, -5, -24],\n [6, 3, 21, 2, 7, 0, -11, 19, 0, -17],\n [-5, -6, 23, 1, 16, -25, -17, 25, 12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, 18, -15, -12, -1, -14, 19, -19, -23, 13, -10],\n [-25, -11, 18, -15, -25, -23, -4, 17, -20, -4, 19],\n [24, 2, -12, 20, 6, 3, -21, 18, 9, -15, -25],\n [22, -19, -23, -4, 5, -23, -9, -8, -11, 12, 9],\n [-10, 15, 4, 9, -9, -11, 16, 24, 1, -25, 4],\n [4, -21, -25, -22, -15, -13, -16, 18, -2, -6, -8],\n [-3, 15, 16, 17, 9, 18, 1, -11, -2, 4, -25],\n [15, -23, 13, -2, 6, -22, 8, -25, -5, -18, 20],\n [-14, -25, -4, -12, -1, 2, -18, 14, 11, -1, -3],\n [18, 11, 15, -10, -22, 12, 10, 7, 19, 19, 23]]\nB =\n[[4, 19, -15, 24, 21, -13, 18, -22, -2, 7],\n [7, -14, -5, 7, 20, 7, -17, 5, 4, -10],\n [-14, 22, -17, 9, 17, -20, -1, 2, -3, 3],\n [-4, -2, -6, 1, 13, 7, -7, 0, 12, -23],\n [-3, 19, 1, 1, -16, -2, 23, 11, 15, -24],\n [8, -4, 23, 24, -24, 2, 15, 14, 16, -2],\n [12, 14, -4, -23, 16, 11, -24, -3, -13, -11],\n [7, 19, -13, -6, -19, -13, 13, -22, 20, 1],\n [6, -24, -11, -21, -23, -10, 23, 0, -20, 9],\n [12, -6, -4, -5, 6, -25, 22, -3, -8, -9],\n [11, 5, 3, -13, -24, -17, 6, -4, 16, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "742", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -7, 19, 12, 5, 3, -2, 7, 24, -7, -10],\n [25, 6, -5, 4, -19, 12, -14, 2, -12, -19, -9],\n [-3, -13, -6, -21, -20, -13, 16, -23, 5, -23, -18],\n [-19, 24, 20, -19, -15, -2, -5, -6, 3, 16, -16],\n [23, -10, -16, 12, 7, -21, -14, -18, -20, -3, 22],\n [16, -23, 12, 3, 8, -22, -19, -5, 18, -16, 6],\n [-1, -13, -5, -7, -18, 23, 14, 24, -6, -18, -10],\n [22, 2, -16, 19, -5, 11, 18, -11, -20, 15, 9],\n [-5, -9, 0, -16, 8, -19, 6, -22, -16, 13, 18],\n [-11, 22, 9, 7, -1, 21, 21, -15, 8, 10, -9]]\nB =\n[[-14, -10, 7, 0, -16, -13, -8, -5, 21, 16, -3],\n [21, -3, 10, -21, 13, 19, -11, -2, -14, -7, 7],\n [-1, 24, 12, -13, -2, 13, -23, -14, 11, -24, -6],\n [14, 8, -4, -11, 7, -24, 9, 8, 1, 5, -13],\n [4, 0, -2, -25, 25, 12, 12, 13, -4, -16, 20],\n [1, 16, -24, -7, 24, -15, 21, -12, 21, 7, 18],\n [15, -8, 3, 23, 4, -23, 6, -11, 23, -3, 8],\n [20, 15, -10, 24, 14, -20, -10, 20, 12, -6, 23],\n [2, 0, 13, 22, -20, 19, 24, -10, 7, -14, -12],\n [13, -24, -13, 18, -7, 8, -17, 5, -11, -22, 21],\n [20, 6, -9, -21, 19, 13, 7, 2, -13, -22, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8156", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 9) when matrix A is multiplied by matrix B?\nA =\n[[-13, 2, 19, 9, 14, -2, -17, -19, 11, 10, -4],\n [-23, -18, -22, 17, 16, -24, 20, 14, -20, -4, -23],\n [-9, -16, -2, 21, 14, 13, 2, 13, 19, 4, 2],\n [-22, -8, 13, -23, 20, -25, 7, -10, 20, 4, 14],\n [7, 10, 5, 10, 10, 21, 22, -16, -4, 2, 10],\n [6, 20, -13, 8, -25, -10, 1, -4, 5, 22, 3],\n [-4, -19, 14, -22, -12, 17, -9, -25, 23, -24, -8],\n [-23, -5, -13, 23, 21, 1, -23, -21, 11, 12, 22],\n [-24, 4, -20, 1, -13, -21, -1, 1, -10, 22, -19],\n [17, -23, -11, -9, -23, -24, 20, -21, -2, 5, 10],\n [18, -19, -1, 17, -6, -1, -24, -24, -16, 24, 23]]\nB =\n[[-20, -15, 23, 3, 4, -5, 1, 21, 16, 10, 19],\n [7, 21, 1, 11, -20, 13, -18, -14, 21, -23, -17],\n [17, -14, 14, 20, 22, -23, 7, 24, -13, -14, 11],\n [-19, -20, 15, -22, -3, -22, -23, 12, 1, -15, 3],\n [3, 11, 17, -18, 6, -12, 24, -6, -2, 3, -25],\n [-16, -7, 13, 19, 22, -8, 12, -19, -2, -4, -10],\n [-20, 17, -19, -8, 9, 23, -2, -10, -7, -7, 17],\n [-25, -4, 5, -12, 4, 5, 25, 6, 17, -9, 2],\n [8, -9, -20, 22, 3, -17, 5, 4, -17, 16, -16],\n [12, 7, -23, 3, 13, 15, -12, -11, 25, -16, -10],\n [7, 2, 13, 17, -2, -11, -13, -7, -15, -13, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 0, 16, -10, -9, 23, -13, -13, -11, 18],\n [-15, -25, 9, -8, 18, -25, -4, -24, 4, -8],\n [-25, -23, -16, 22, -11, -23, -13, -2, 13, 4],\n [17, 6, 9, 9, -11, 8, 13, 8, -8, 9],\n [-3, 6, 24, 24, -7, 3, 14, 24, 18, -14],\n [-22, -4, 17, 19, -11, -5, 16, 9, 16, -7],\n [-18, 10, -11, 25, -22, -1, 25, 11, 0, -17],\n [18, 24, 5, -20, -1, -20, -7, -21, -21, -21],\n [23, -6, 20, 22, -13, -17, -12, -13, 21, 7],\n [22, -3, 4, -8, -8, 17, 10, -12, -14, 13],\n [1, 3, -19, -11, -7, -17, -6, 22, 18, -4]]\nB =\n[[10, 6, -23, 23, -8, -10, -23, -14, -2, -15, -3],\n [7, -22, -12, 12, -17, 8, 20, 14, 7, -7, 11],\n [-23, 11, 12, 1, 23, 14, -20, 6, 22, -8, 6],\n [-6, 10, -11, -3, 25, -12, -5, 20, -23, -19, -9],\n [-22, 19, 24, 9, -20, 6, 9, 20, -4, -18, 1],\n [2, -24, -24, 20, 1, -19, -14, -18, -17, -4, -8],\n [13, 2, 12, 8, -20, 5, -11, 23, -22, -21, -3],\n [-13, 19, 1, 19, 5, -7, 4, 13, 4, -21, -15],\n [-16, 15, -25, -11, -5, -4, 6, 0, -13, -21, -12],\n [-22, 15, 14, -18, -17, 5, -23, 1, -17, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1472", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 11) of the product matrix AB given:\nA =\n[[3, 21, -16, -13, -25, 14, -12, 6, -10, 0],\n [7, 5, -18, -1, 7, 4, -25, -25, 1, -22],\n [11, -2, 18, -2, -20, 13, -25, 3, -2, -13],\n [2, -11, 5, -4, -14, -9, 0, -13, 15, 19],\n [-9, 0, 25, 2, 12, 24, 16, 16, 6, -5],\n [21, -17, 11, -10, 25, -21, 12, -17, -20, -11],\n [-8, -21, 15, -16, 17, -10, 19, 1, 23, 14],\n [-3, 2, -15, -22, -22, -10, 2, 3, 19, -9],\n [-20, 19, -8, -13, 16, 9, -1, 9, 16, -15],\n [-14, 12, 6, -12, -1, 7, 22, 8, 17, 13]]\nB =\n[[10, -20, 15, -22, -19, 9, -7, 5, -6, -5, -1],\n [-14, 8, -9, 17, 6, -25, -11, -25, -1, -19, 8],\n [18, -20, 12, 10, -25, -11, -13, -5, -13, 14, -9],\n [-9, -14, 8, 13, 14, -15, -12, -11, -3, -22, 7],\n [-1, 19, 15, -4, 6, -25, -2, -19, 17, 11, -20],\n [-11, 8, -25, 13, 25, -18, 9, -14, 20, -2, -25],\n [-13, 11, -11, 8, 11, -13, -10, 10, -20, 24, 8],\n [-14, 25, 18, 12, 21, 23, 10, 17, -2, -22, -1],\n [25, 15, -15, 20, -23, -19, -15, -25, 15, 15, 23],\n [0, -12, 21, 16, -10, -14, 3, 6, -16, 3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-780", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 11) of the product of the following matrices:\nA =\n[[-7, -17, 25, -1, -7, 13, -17, -9, 1, 24],\n [-18, -3, -13, 15, -18, -13, -13, -9, -6, -21],\n [-1, -10, 17, -8, -17, 9, -16, 9, 11, -7],\n [-13, 10, -1, -21, -9, 8, 17, -3, -23, -16],\n [6, 7, -19, -13, 12, -15, -11, -3, -7, -18],\n [23, -2, -24, 12, 4, 18, 7, -7, 5, -2],\n [-4, 13, 3, 8, -22, 24, 20, -9, 25, 2],\n [12, -22, -10, 16, 17, 18, 10, 22, 5, -11],\n [-17, 10, -22, -7, 8, -2, -15, 9, 2, 2],\n [-15, 12, 8, -11, -18, 15, 11, 15, -25, -2],\n [24, -16, 14, -9, -12, -25, -15, 15, 16, -23]]\nB =\n[[-9, -15, -2, 10, 7, 6, -1, 24, 1, 21, 17],\n [-9, -9, 24, 20, 14, -22, -8, -15, 15, 14, -14],\n [17, 11, -16, -11, -15, 8, 16, 9, -18, 5, 18],\n [-11, 3, -11, 5, -19, 4, -1, -11, -13, -16, -7],\n [23, -11, -23, -8, -4, 11, 6, 5, -16, 15, 19],\n [-5, 8, 3, -16, 2, -16, 6, -12, 6, 4, -18],\n [11, -7, -4, 25, -2, 2, 15, 17, -21, -17, -18],\n [17, -8, 14, -13, 17, -20, -10, -8, 16, -9, -24],\n [-8, -15, -24, -24, -8, 15, -4, -10, 1, -9, 16],\n [-9, -20, 7, -13, -20, 0, -7, 12, -7, 18, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-409", "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, -4, 6, -19, -4, -20, -11, 12, 15, -8],\n [9, 8, 19, 3, 17, -21, -2, 6, 4, -21, 18],\n [8, 24, 16, -8, 10, -5, -4, 13, -5, 9, -21],\n [7, -19, 18, -2, 22, 13, -18, -11, -20, -21, -3],\n [22, -6, -14, 16, 18, -5, -4, -1, -14, -24, 4],\n [-19, 11, -8, -8, 2, 22, 8, -18, -7, -20, 19],\n [-19, -6, -2, 3, 2, -21, -9, 10, 7, -20, 12],\n [-23, -16, -15, -3, 20, -22, -19, 0, 16, 7, 15],\n [16, 9, 2, 15, 24, 9, 13, -10, -16, -19, -19],\n [-1, -21, 0, 4, -15, -19, 13, 0, 10, -4, -14]]\nB =\n[[-4, -24, 14, -14, -25, -11, 14, -19, 12, 11, 20],\n [-4, 7, 7, 3, 17, -7, -21, -12, 21, -17, -21],\n [9, -5, 20, 17, 2, 19, -24, 22, -20, 5, 6],\n [-15, -12, -16, 13, -25, 5, -18, -24, 9, 5, -14],\n [5, 9, 6, -9, -18, -7, 10, -15, 18, -21, 2],\n [-24, -15, -8, 21, 23, -21, -7, -21, 14, -7, -14],\n [10, 2, 20, 22, 9, 12, -3, 8, -3, 7, 16],\n [-13, 8, 3, 4, -8, 9, -21, -22, -21, 13, -11],\n [20, -17, 20, 24, -18, 18, -16, -4, -2, -2, -17],\n [-4, 8, 22, -14, -9, -22, 23, 4, 10, -25, 7],\n [1, -12, -22, 9, 7, 25, 24, -14, -22, 8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56978", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-24, 1, 16, 5, 7, 1, 19, 2, 8, 4],\n [11, 8, -25, -13, -8, 14, -25, -17, -20, 25],\n [-18, -18, 25, -2, 23, -1, 25, 0, 0, 13],\n [14, 25, 8, -18, 20, -24, -8, -10, 2, -18],\n [-8, 13, 16, -7, 6, 6, 16, 22, -5, 3],\n [19, -21, -6, -4, 23, 1, 17, -25, -13, 7],\n [13, -20, -13, -12, -18, -23, 11, 22, -14, -18],\n [3, -6, -3, -22, -1, 6, 23, -1, -21, -16],\n [5, -22, -19, 8, 15, -5, -7, -19, 8, 7],\n [16, -5, 24, 12, -9, 20, -9, -11, -18, 23]]\nB =\n[[25, 11, -7, 3, 12, 7, 2, 14, 7, -19, 9],\n [-18, -19, 19, -5, 23, -1, -23, 6, 22, -15, -5],\n [6, -24, -3, 19, -16, -12, -17, -7, -23, 6, -3],\n [-7, -14, -3, -12, 10, 22, 16, -23, -16, -4, -22],\n [-11, 9, 23, 18, -21, 2, 23, 14, 20, 1, -11],\n [4, -18, 23, -6, -13, -20, -25, 20, 16, 24, -8],\n [-20, 23, 10, 23, 0, 8, 10, -9, -1, 2, -11],\n [-22, 1, 7, -6, -5, 14, 15, -16, 18, 6, 13],\n [11, 0, -4, 14, 24, -13, 6, -17, 11, 16, 13],\n [-10, 8, -16, -2, -16, 19, 0, 8, 11, -22, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3994", "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, -1, -15, 20, -6, -2, 21, 5, -1, -21, 5],\n [18, -3, -9, -24, -24, 1, -4, -9, 7, -21, -13],\n [-9, 17, -6, -6, 2, -14, -6, -19, -21, 3, -1],\n [-15, 15, -15, 6, 12, -8, -11, -9, -2, 18, -7],\n [11, -21, 13, -22, -25, 4, -9, 17, 10, 24, 4],\n [17, 24, -8, 10, -25, -21, -8, 3, -9, -5, -24],\n [10, -6, -7, -8, 17, -13, 21, -15, 7, 23, 2],\n [17, 16, 18, -5, 4, 21, 6, -3, -1, 6, 11],\n [15, 5, -13, -20, -25, -18, -3, 21, -21, 3, -4],\n [-21, -9, -8, 19, 13, -25, 5, -2, -10, -21, 22],\n [6, 0, 9, 17, 15, -2, 18, -11, -3, -15, 4]]\nB =\n[[19, 4, -20, 20, -21, 25, 22, 19, -12, 4, -22],\n [-20, 13, -8, 25, 13, 16, -1, -9, 7, 12, -14],\n [-9, -1, 23, 11, -9, 1, 5, -12, 10, -4, -21],\n [14, -20, 14, -21, -2, -4, -12, -1, -6, -25, 23],\n [9, 11, 2, 3, 14, -18, -8, 5, -5, -20, -17],\n [4, 18, -8, 4, -6, -16, -13, 15, -24, -21, 7],\n [-25, 11, -14, 15, 2, -8, 10, 4, 16, 12, -5],\n [13, -19, -21, 9, -11, -17, 22, -8, 25, -14, 1],\n [-12, -13, 4, 10, 23, 15, -17, 8, -14, 24, -1],\n [24, -4, -21, -11, 17, 21, -8, -13, -11, -1, 8],\n [-24, -5, -3, -9, -22, 15, 22, -25, -19, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60220", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -14, -21, -23, -14, -16, 20, 24, 4, -9, 18],\n [17, -7, -8, 0, 2, 23, 6, 13, -6, -5, 20],\n [18, -10, -14, -25, 20, 6, -12, -12, -7, -25, -1],\n [16, 23, 19, -13, -22, -6, -22, 15, -20, 22, 0],\n [16, 1, -4, 3, 23, 13, 14, -24, 10, -3, -7],\n [-10, -2, 8, -1, -15, -21, -6, -12, -5, 0, 18],\n [12, -11, 16, -5, -10, -15, 22, -12, -5, -10, -24],\n [16, -24, 2, -21, -18, -17, -9, -7, 22, 16, 0],\n [5, 8, 3, -16, 14, -15, 7, 5, -4, 3, 15],\n [-5, 14, -14, -10, 17, 0, 4, -3, 7, -2, -20],\n [20, 8, -7, -3, -1, 3, -10, -24, 3, 7, -8]]\nB =\n[[18, -17, -24, -21, 24, -6, -22, -21, -9, -21, 24],\n [-18, 6, -1, -1, -1, 16, 5, 2, 21, -11, 17],\n [25, 1, 13, -12, -13, 6, 18, 9, 22, 18, -12],\n [18, 10, 13, -21, 21, -18, -16, -24, 5, 13, -1],\n [8, -11, 16, -9, -4, 21, 22, 7, -20, -8, 4],\n [-23, 5, 25, -14, -16, 10, -20, 5, 10, 7, -16],\n [12, 0, -10, -2, 15, -2, -17, -1, 18, -3, -23],\n [6, -16, 21, 9, -4, -12, -1, -11, 4, 5, -12],\n [-18, -18, 5, 11, 11, -23, 7, -14, 6, 6, -5],\n [17, -16, 18, 15, 16, 0, -13, -17, 7, 5, -14],\n [-3, -1, 3, 7, -8, 15, 18, -14, 10, -22, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56712", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -4, 20, 11, 13, 4, 8, 5, -20, 0],\n [23, 19, -13, 3, 24, 0, 13, -4, -22, 9],\n [-21, 2, -5, -17, -16, 14, 7, 14, 17, -21],\n [-17, -9, 7, -9, -20, 1, 1, 20, -12, -21],\n [-9, -22, 15, -19, 11, -12, -13, 3, 23, 8],\n [8, 12, 13, 22, -1, 9, -6, 5, 20, 18],\n [-1, 3, 24, 24, 20, 8, -16, -7, 13, -15],\n [14, 14, 10, -3, 18, 12, -1, 18, 23, 19],\n [-5, 12, 1, -24, -20, 9, -17, -6, 7, 21],\n [3, 1, -25, -13, -23, -25, -6, 14, 0, -14]]\nB =\n[[-20, 24, -17, 10, -6, -16, -16, 5, -6, -1],\n [19, 5, 21, 15, -17, 15, 23, -2, -22, 11],\n [19, -2, -12, -18, 23, 1, 16, 4, 24, -12],\n [14, 14, -8, -13, 3, 2, 22, 24, -22, 1],\n [10, -2, -2, -23, 19, -7, 13, 23, -17, -4],\n [-4, -10, -18, -9, 22, 11, 1, 9, 9, -12],\n [17, 15, -4, -4, -15, 6, 1, -6, 20, 8],\n [-7, -16, -13, 25, 2, -18, -4, 2, -10, -9],\n [14, 16, 23, 14, -7, 23, 12, -8, 11, 3],\n [-11, -5, -19, 25, 10, 22, -4, 11, -20, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5968", "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, -25, 18, -24, 16, 19, 12, 20, 23],\n [10, 24, -5, -21, -6, 15, -4, 14, -3, -25],\n [-13, -2, -1, 17, 2, -22, -3, 23, -22, 14],\n [8, -6, -9, 4, 2, -2, 22, 5, 6, 12],\n [3, -19, -11, 19, -20, -9, 7, 18, -25, -23],\n [-13, -15, -14, -8, 14, -10, 7, 15, -22, -2],\n [10, 21, 20, 18, -19, -17, 11, -7, 3, -20],\n [10, -4, -4, 12, 17, -23, -1, -12, -21, -8],\n [2, 4, 10, -20, 5, -8, -1, 8, -18, 2],\n [-19, 8, -1, -25, 17, -24, 8, 6, -14, 18]]\nB =\n[[0, -4, 17, 5, 7, -4, 22, -18, -10, 2],\n [-12, -22, -2, -7, -1, 21, 22, -9, 10, -24],\n [19, 1, 16, -18, 11, -21, 20, -22, -20, 3],\n [-18, 22, -16, 9, -16, 20, -10, -14, -1, -11],\n [-12, -20, 10, -23, 19, 1, -9, -1, 22, 9],\n [-21, 4, -8, -6, 1, 18, -9, 8, -18, -14],\n [9, -23, 21, -12, 19, -11, 13, -23, -2, -24],\n [-21, -22, 10, -24, -15, -9, -14, -7, -13, -7],\n [-6, -5, 5, 5, -21, 14, -24, -15, -2, 22],\n [5, -24, 0, -9, 23, -15, 16, 21, -13, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51307", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -6, -18, 17, -6, 20, -15, 2, -15, -17],\n [10, 1, -20, 2, -13, 19, -3, 21, -15, -5],\n [13, -2, -15, 19, 0, 22, 16, -6, 3, -22],\n [24, -8, 20, -14, 6, 5, -18, -1, -15, 0],\n [15, -7, 22, -9, -16, 8, 3, 25, 19, 2],\n [-8, 6, 10, -21, -8, -10, -23, -20, 7, -10],\n [18, -24, -24, -21, 2, -25, -21, -22, 3, -24],\n [-11, -21, 5, 0, -12, 15, 15, -15, -7, -16],\n [16, -9, -8, -1, -11, 21, 12, 21, 19, 7],\n [5, 11, 21, 10, -20, 18, 20, 22, -18, -15]]\nB =\n[[0, 3, -24, -2, -8, 7, 20, -5, -4, 7, 6],\n [7, 14, -12, 19, 0, 1, -16, 11, 24, -19, -9],\n [17, -22, 7, -10, -2, 21, -5, 3, 24, -11, 2],\n [-8, -18, -17, 20, 18, -20, 8, -23, -8, -7, 25],\n [-17, -13, 14, -21, 21, 13, 10, -2, 11, 18, 20],\n [18, -15, 16, 20, -16, -23, -9, 25, 25, -21, 11],\n [9, 14, -8, 1, 0, 5, -13, -10, 24, -4, -10],\n [-18, 6, -8, 7, 19, 20, 19, 12, 4, 16, -13],\n [-13, -22, 14, 16, -20, 20, 11, -11, 1, 6, -19],\n [5, -2, -24, -18, -19, 23, -25, 12, -18, -22, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 3) of the result:\nA =\n[[-7, 11, -6, 19, 18, -13, 6, 25, -24, -13],\n [-18, 6, 22, -12, -5, 7, 10, -5, -20, -21],\n [22, 4, 2, 11, 15, -14, 15, -15, -20, -6],\n [1, 3, -17, 14, 22, -19, -5, -8, -11, -24],\n [7, 24, -15, -20, -13, 18, -9, 15, -1, -21],\n [-12, 19, 3, 4, -14, 1, 5, 21, 3, 1],\n [-21, -17, 0, 1, -11, -11, 8, -12, -24, 20],\n [-20, 21, 25, -10, -17, 18, 25, -10, 18, -4],\n [-7, -18, 18, 19, -5, -23, -11, -24, -4, -9],\n [-10, 21, 18, -12, 23, 15, -21, -5, -10, 5],\n [6, -10, -17, 11, 22, -17, -5, -18, -2, -10]]\nB =\n[[5, -6, -21, 24, 19, -24, -23, 6, -1, 9],\n [4, -11, 3, -24, -20, 3, 10, -4, -20, 3],\n [-9, 6, -8, -1, -8, 16, 20, -15, -21, 1],\n [18, 20, -20, -15, 14, 3, 6, -22, -21, -8],\n [-18, -3, 12, 17, -14, -5, -4, 6, 2, -8],\n [-23, 4, -13, -25, 9, 13, 0, -9, 24, 6],\n [-4, 22, 13, -1, 22, 6, -2, -18, 18, 4],\n [-13, -3, 11, -13, 4, -20, 4, 8, 21, -9],\n [-2, -17, -7, 5, 17, -1, 7, 12, 24, 11],\n [20, 9, 6, -4, -23, -15, -2, 8, 4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, -6, -2, -16, 13, 9, 16, 5, 1, -21, -14],\n [8, -15, 3, 1, 17, -10, -11, -13, 7, -21, 4],\n [24, 24, 23, 0, -17, -21, 9, 13, 14, -25, 13],\n [-23, -17, 0, -24, 2, -6, 0, -12, -24, -5, -7],\n [20, -11, 6, 10, -12, 9, -17, 8, 11, 5, -1],\n [15, 18, -16, 8, 23, -11, 21, -24, 12, 0, 16],\n [9, 19, 6, 6, 25, 17, 2, 18, 1, -11, -2],\n [-5, -25, -5, -3, -4, 24, 5, 24, 3, 13, 21],\n [-25, -25, 24, -8, 15, 23, -15, 21, 18, 11, -20],\n [-14, 9, 15, 15, -18, 17, -25, 17, -24, 9, 8],\n [16, -10, 16, -18, -20, 14, -22, -3, -12, -1, 10]]\nB =\n[[8, 12, -14, -5, 19, -11, 19, -9, 24, -2],\n [2, 5, 18, 5, -5, 7, -16, -24, -15, -11],\n [23, -1, 8, -3, 17, 2, -22, -23, -12, 3],\n [-5, -9, -20, 19, 24, 22, -21, -25, -16, -21],\n [2, 6, -19, 16, -24, -4, 2, 7, 13, 5],\n [8, -16, 2, -2, -12, 10, -24, 25, 8, 9],\n [22, 17, -15, 6, 12, 10, 21, 16, -9, -5],\n [5, -21, -4, 3, -25, 4, 0, -4, -16, -13],\n [-1, -11, -25, -15, 18, 23, 9, -13, -7, 22],\n [-14, -17, -6, -8, -1, -20, -21, 12, 21, -14],\n [-24, -23, 0, 25, 5, -20, 4, 6, -8, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-797", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-17, 9, -17, 18, -20, 9, -22, 4, 19, 0],\n [-16, -20, 5, 0, -19, -18, -5, 12, 22, 7],\n [-10, -23, -23, 9, -3, -14, -2, 11, -13, -11],\n [-19, -2, 24, 18, -13, -7, -23, -21, 24, 11],\n [17, -16, 22, 23, -6, -10, 18, 22, -19, 8],\n [8, -11, -21, -16, 16, 18, -18, -5, 19, -19],\n [14, 25, -17, 17, 3, -6, -9, 13, -4, -19],\n [19, 2, -20, -9, -24, 11, -18, -19, -10, -24],\n [-4, 17, 23, -19, 0, 8, 13, -14, 15, 9],\n [-24, 3, -6, -7, 11, 19, 0, 11, -13, -3],\n [-1, 21, -3, -23, 25, -12, -11, 9, -12, 18]]\nB =\n[[-9, -20, -6, 22, -16, -12, 1, -22, -7, 22],\n [22, 25, 19, -24, 14, 1, 21, -2, 16, -22],\n [-24, 20, 21, -4, -5, -12, -6, 8, -6, 7],\n [-17, 20, 16, 12, -13, -13, 14, -21, 7, 23],\n [24, 20, -25, 1, 13, -20, -22, 14, -17, 0],\n [-24, -2, -21, -25, 24, 9, -19, -22, 12, 24],\n [-5, -17, 0, -25, 17, -6, 25, -15, 6, -13],\n [2, 25, -16, -24, -21, -19, 7, -19, -24, 21],\n [-12, -5, 24, -8, -12, 17, -13, -7, -5, 25],\n [4, 9, 6, 25, 18, -8, -19, 24, -14, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3112", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[12, -23, 20, 22, -17, -19, 0, 20, 19, 22, -8],\n [18, 21, 13, -8, 20, -8, -5, -11, -20, 17, -8],\n [-3, 6, 9, 9, -24, -2, 0, 18, 22, 16, 0],\n [18, -22, -4, 25, -10, 4, -24, 11, -8, -7, 4],\n [-17, 5, -8, 19, -21, -16, 12, -4, 23, 14, -10],\n [-3, 4, -16, -15, 2, 4, 11, -1, 1, -18, 21],\n [-16, 12, 8, 3, -9, 1, 24, -3, 1, 12, -16],\n [-10, 24, -20, -25, -1, 23, -9, 7, 6, -12, -22],\n [6, -9, -1, 25, -12, -20, -15, 2, -17, -18, 4],\n [18, 12, -10, -6, -16, 9, -19, -16, -5, 4, 18]]\nB =\n[[-20, 8, -14, 16, -15, -22, -3, 7, 7, -12, -24],\n [-23, 18, -8, 9, -22, -18, -19, 11, 18, 0, -15],\n [24, -9, -21, 20, 24, -13, -6, 9, -8, -12, -13],\n [-4, -13, -21, 20, -1, -11, 18, -11, -11, -4, 10],\n [-5, -9, -13, 4, -10, -10, 24, 20, 9, 22, 23],\n [-24, -18, 22, 1, 11, -21, 2, 16, 15, 20, -21],\n [-3, 16, 12, -16, 0, -19, -8, -7, -24, -1, 18],\n [-2, -23, -20, 20, 1, -5, -8, 7, 20, -10, 25],\n [-5, 11, -24, 25, 19, -24, 13, -23, -10, 2, 2],\n [7, 5, 18, -6, 12, -15, 16, 10, -15, 13, 22],\n [-20, 5, 12, 9, -8, -17, 16, 23, 2, -23, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67348", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-16, -21, -24, -1, -3, -23, -9, 15, 7, 2, -21],\n [15, -3, -17, -20, -20, 22, -17, -9, -13, -23, -17],\n [-12, -23, 10, -6, 20, -8, -25, -6, 3, -2, 6],\n [-7, -21, -1, -2, 14, 2, 13, 0, 1, -10, -15],\n [1, 2, 14, -20, 19, 17, -11, -25, 10, -9, -18],\n [-2, 13, 24, -3, 9, 22, 18, 0, -15, 2, -20],\n [11, -1, -16, 7, 21, 17, -1, -25, -12, -15, 0],\n [13, -22, -12, 2, -18, -3, 2, 14, -4, -8, -16],\n [10, -19, -10, 13, 19, -23, 24, 15, 25, -22, 14],\n [23, -11, 9, -20, -24, -9, 20, -13, -2, -12, -18],\n [-16, 2, 7, 1, -24, 10, 22, -3, 6, -15, -2]]\nB =\n[[-11, -1, -4, -3, -25, -4, 0, -6, -16, -13],\n [-5, -1, -10, -11, -21, -2, 1, 23, 25, 19],\n [8, 14, -25, 8, 15, 0, -14, -17, 7, 14],\n [1, -19, -3, 2, 16, 7, -11, 9, 24, -1],\n [-5, -21, 23, 7, -2, 5, -8, 5, -23, 8],\n [-2, 18, 15, 15, 4, -15, 5, 0, 0, 12],\n [15, 11, 0, -6, -5, -13, 20, 22, -8, 14],\n [0, -24, -9, 17, 0, 12, 5, -5, 15, 7],\n [17, -14, -20, -3, -11, -1, 12, 5, 24, -19],\n [3, 6, 1, -18, -21, -18, 6, -20, 2, -7],\n [6, 17, 18, -9, -2, -15, -14, -1, 13, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5189", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -18, 0, 10, -5, -8, -9, -2, 22, -3, -11],\n [14, -13, -1, 14, -21, 13, -21, -12, -25, 9, -9],\n [18, -1, -6, 19, 7, -9, 6, 1, 5, -9, -3],\n [-17, -21, 12, 25, 7, 16, -23, 1, 20, -4, 18],\n [-5, 25, 22, -13, 4, 3, -13, 21, -7, -1, 20],\n [25, 15, 12, -13, -1, 8, 13, 2, 23, 18, -19],\n [-5, 16, -1, -23, 13, -11, 10, -9, 19, -6, -25],\n [-5, 18, -13, -25, -25, 17, 1, -16, -4, 22, -23],\n [19, 25, 3, 24, -6, -8, -13, -12, -25, 6, -10],\n [-5, 1, -4, 21, -15, -16, 21, -6, 12, 7, 24],\n [3, 13, -20, 20, -13, 8, 16, -14, -5, -20, -18]]\nB =\n[[1, -8, 7, -4, -20, 16, 13, -9, -19, -24, 16],\n [-11, 15, 14, 5, -16, 18, -23, -25, 14, -8, 18],\n [15, -20, 14, -2, -16, 11, -18, -1, 16, -23, -3],\n [-1, 24, 13, -17, -19, 6, -4, -18, -10, 17, -1],\n [-4, 21, 1, -12, 23, -11, 10, -13, -2, -22, -5],\n [1, 5, -7, -8, 25, 17, -20, -16, -18, -6, -22],\n [-22, -15, -18, -7, 7, -5, -9, 12, -5, 25, 22],\n [-15, -1, 22, 18, -25, 18, -3, -23, -8, -14, 17],\n [-20, -7, -18, -14, -3, -18, -22, 12, -20, 1, -4],\n [-5, -17, -22, 3, 18, -11, 3, 7, -17, -12, 11],\n [-3, 3, 1, -20, -23, 13, -19, 21, 0, -15, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68357", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 5) of the product of the following matrices:\nA =\n[[-7, 24, -12, -21, -6, -17, 24, -15, 7, -13, 17],\n [15, -22, 10, 16, 21, 2, -2, 17, -25, -7, -4],\n [-10, -4, 12, -2, -3, 2, 9, -22, -23, 15, 6],\n [22, -9, -8, 19, -16, 5, 24, 10, -20, -20, -1],\n [-10, -12, -23, 17, -3, 19, -24, 24, -25, -11, -13],\n [-11, -24, -5, -1, -21, 1, -8, 2, 5, 5, -4],\n [23, 2, -9, -7, -21, 22, -10, 21, 23, 5, -8],\n [-25, 23, 10, -11, 23, -22, 17, 9, -3, 5, 15],\n [-15, 1, 16, 12, -21, -5, -13, -14, -8, -1, 23],\n [-17, -5, -12, 17, -11, 19, 10, -16, 22, 21, 12]]\nB =\n[[-22, 18, -10, 21, 23, 13, 20, 19, 7, 12, -15],\n [-20, 2, -16, 6, -16, -10, -19, 4, 7, -22, -21],\n [-7, -15, 10, 8, -15, 13, -11, -21, -19, -15, 5],\n [-5, -7, -13, 4, -4, 14, -11, -8, 9, -8, 19],\n [-19, 5, -23, 9, -18, 3, 12, -11, -24, -20, 21],\n [-13, -11, -10, -3, 22, 13, 13, 19, -4, -8, -22],\n [10, -6, -12, -6, -15, -25, -20, -10, 20, 10, -2],\n [-15, -24, -2, -22, -24, 14, -17, 23, 14, -7, 13],\n [-8, -17, 18, 3, -9, 14, 25, -21, 13, 1, 18],\n [-11, 17, -1, -5, 14, 1, -3, -8, -12, -13, 15],\n [-5, 0, 15, 8, -19, -24, -12, 20, -18, 23, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1183", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-16, 8, -7, 3, -10, 7, -20, 23, 19, -14],\n [1, 25, -25, -7, -2, 0, -19, -19, -3, 12],\n [-18, 15, -20, 15, 17, -25, -25, -1, -13, 17],\n [-1, 11, -10, 22, -11, 9, 13, -15, 23, -4],\n [-7, 11, -22, 24, -1, 14, -20, 19, 1, -24],\n [21, -15, 12, -16, -5, -8, 10, -20, 19, -10],\n [-7, 5, 23, -9, -14, -6, -2, -17, 20, -4],\n [4, 24, -19, -11, -25, -11, -8, -5, 21, -25],\n [-15, 19, -10, 8, -10, -15, -17, 18, -22, -24],\n [-4, -20, 3, -14, -21, -8, 7, -24, -3, 18],\n [16, 7, -21, 5, 16, 22, -12, -21, -4, -4]]\nB =\n[[2, 25, -17, 2, -23, 18, 13, 15, 0, -12],\n [-25, -16, 5, 22, 13, 23, -9, 11, -22, 15],\n [-22, -11, 10, -6, 15, 8, -14, -18, 10, 4],\n [11, -1, -12, 7, 7, -8, 2, -20, 8, 5],\n [-2, -2, -10, 25, -21, -20, 15, 21, 20, -16],\n [-3, 9, -17, 12, 17, 24, 8, -21, -8, -25],\n [14, 12, -8, 16, 15, 2, 17, -1, -14, -10],\n [-19, 23, -1, 25, -13, -7, 17, 24, -1, -2],\n [9, 10, 19, 14, 25, -22, 15, -17, -12, -1],\n [-12, 17, 21, -16, -3, -15, -8, -5, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-837", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 10, -10, 4, -17, -15, -2, -18, -1, -17, -24],\n [7, 11, 14, -19, -18, 21, -18, -4, 17, -24, -22],\n [-7, 16, -21, 18, 15, -11, -19, 23, -14, 13, 23],\n [20, -14, -1, -19, 14, -17, 24, -22, -12, 17, 18],\n [4, -19, -17, -19, 21, 8, -16, -24, -15, -17, -20],\n [-4, -12, -10, -7, -20, -13, 16, 6, -23, 3, 7],\n [9, 25, 8, -11, 2, 19, -13, 21, -14, 8, 7],\n [8, -5, 18, 20, 21, -20, 4, 16, 14, -12, 1],\n [-21, -6, -8, -13, 17, -12, 6, -23, 7, -17, 6],\n [24, -18, -6, -2, 15, 25, 14, 10, -8, 12, -3],\n [-21, -9, 7, 22, -9, -3, -12, -18, 7, -21, -19]]\nB =\n[[-25, -18, -22, 20, 17, -2, -2, -13, 24, 10],\n [25, -8, 19, 2, 10, -12, 3, -22, 3, -11],\n [18, -6, 13, 7, -9, 20, 1, 9, 12, -20],\n [-5, 12, -4, 20, 19, -25, 6, -18, 12, -4],\n [-13, -20, 13, 3, -5, 17, -8, -23, 0, 24],\n [23, -21, -13, 7, -25, -20, 1, -13, -23, -9],\n [-12, -7, -17, -12, 14, -25, -9, -19, 23, -13],\n [5, -7, 19, -11, 3, 22, 19, -3, -3, -22],\n [-10, 20, 24, 14, -4, 6, 11, -24, 15, 1],\n [17, -8, 3, 3, -18, -11, -5, -23, -4, -14],\n [-23, 11, -7, 13, 17, -6, 14, -2, -15, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 4) of the result:\nA =\n[[-7, 23, 12, -2, -19, -25, -24, 22, -16, -6],\n [9, 23, -19, -5, 22, 5, 25, -9, -14, -18],\n [6, -11, -15, -23, 12, 5, -2, 24, -3, 2],\n [-19, 6, 4, -19, 9, 23, 20, 14, -16, -23],\n [-24, 12, 25, 9, 12, 20, 5, -7, -4, -7],\n [-5, 1, -5, -10, 3, 7, -15, -16, -5, -9],\n [-16, 3, -20, -16, 20, -19, -15, 17, 17, 12],\n [14, -3, 20, 6, -1, 24, -23, 2, -17, -22],\n [24, 20, -21, -13, -17, -11, 16, 24, -5, -6],\n [17, -22, 18, 10, 1, -13, -17, -14, -2, 2],\n [-19, 22, 14, -11, -9, 25, -17, 8, 12, 14]]\nB =\n[[-23, 8, 24, 20, -20, -14, -18, 1, -12, -4, 15],\n [-20, 3, 18, 22, -20, 20, 19, 14, -22, 14, -2],\n [24, -7, 17, -7, 6, 12, 25, 14, -5, 24, 11],\n [-3, 21, -9, 5, 17, 12, -23, 9, -17, 21, -14],\n [-17, 21, 5, -5, 14, 13, 23, 10, 16, 9, -4],\n [-20, -11, 2, 24, -15, -16, 13, 5, -6, -22, 20],\n [-14, 1, 23, -20, 22, 25, 10, 11, -4, -1, 6],\n [-13, -13, 20, 4, 3, 7, 5, 5, 4, -12, -3],\n [10, 7, 2, 14, 6, 19, 15, 0, -22, -3, -12],\n [7, -21, -16, -17, -18, -13, -13, 22, -24, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-315", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, 11, -14, -21, 16, 20, 7, -4, 2, -15],\n [11, -3, 10, -15, 13, -3, -13, -3, -12, 7],\n [-9, -11, -19, 12, 23, 4, 23, 2, -4, -23],\n [-25, -23, 10, 6, -12, 9, -4, -4, 2, -21],\n [-5, -21, 23, -21, -3, -23, -23, -17, -17, 0],\n [-15, 15, 6, -7, 3, -4, -19, 3, -12, -9],\n [13, -14, 1, -17, 23, -13, -23, -10, 7, -21],\n [-3, 13, 9, -11, 11, -10, 22, -21, 14, -10],\n [23, -22, -17, -13, -3, -22, 25, -2, 21, 24],\n [3, 5, -15, -24, 5, -13, 5, -2, -15, 21],\n [-14, -12, -2, 16, 9, -19, -8, 1, 0, -11]]\nB =\n[[9, -7, -20, 17, 12, 16, 2, 21, -22, 10, 15],\n [-11, -21, -17, -2, -16, 8, 12, -16, 4, 21, 23],\n [22, -9, 24, -24, 20, -1, 6, 5, -22, 22, -20],\n [23, 12, 4, 21, 7, 8, -17, -22, -2, -11, 7],\n [-6, -11, 14, -6, -11, -11, -20, 6, -10, 25, -25],\n [-10, 10, -17, -9, 12, 5, 18, 14, -16, 15, -18],\n [23, 1, 4, -8, -5, -18, -9, 16, -10, 13, 3],\n [0, -12, 7, 13, -4, -22, -1, 6, 5, 4, -6],\n [8, -22, 10, -17, 13, 6, 1, -21, 6, 2, 18],\n [-6, 20, 23, 10, -4, 10, 12, 0, -21, -6, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51099", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -1, 22, 5, 15, -15, -14, -16, 23, -6],\n [10, 23, -1, 2, 7, 5, -17, -9, -14, 9],\n [5, -7, -25, 21, -14, 2, 18, 18, -13, -23],\n [-11, -20, 1, -23, -18, 24, -17, 11, -3, 24],\n [-8, -7, -10, 14, -19, -15, 14, -21, 21, -13],\n [6, 16, -7, -25, -18, -9, -21, -14, 15, 14],\n [1, -21, -8, 25, 20, -20, 15, -19, 13, 20],\n [-8, 8, -3, 1, -23, -17, 25, 10, 8, 0],\n [18, 8, 14, -11, 7, -22, 4, -10, -20, 1],\n [-14, 4, 6, 15, 21, -2, 2, 8, 16, 16]]\nB =\n[[-4, -9, -12, 25, 21, -11, -11, -18, -12, -25, -25],\n [-9, 11, -13, -12, -10, 21, 15, -4, -5, 12, 24],\n [9, -7, -12, -1, -12, 21, 19, -25, 12, 25, -9],\n [-4, 0, -22, 14, 17, 25, 14, 21, -17, 1, -1],\n [11, -15, -22, -13, 6, -6, -9, -3, -22, -4, 13],\n [6, -4, -15, -24, -1, -10, 4, 11, -14, 19, 6],\n [-24, 7, 17, -22, 24, 23, -18, 2, -15, -6, 8],\n [-13, 19, -10, -25, -16, -13, 7, 21, -9, 24, 14],\n [17, -10, 17, -10, 25, -25, -5, -2, 20, -6, 16],\n [23, -12, -25, -4, -19, 11, 6, -22, -10, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66745", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, 14, -19, -6, 7, 10, -14, -11, -11, -6],\n [-9, 16, 20, 3, -2, 15, -11, -14, -7, -13],\n [24, 7, 4, -19, 18, -8, 16, 20, 22, -1],\n [-14, 8, -5, -19, 4, -10, 21, 13, -4, -10],\n [-21, -17, 2, 16, 5, -6, -8, -9, 4, 10],\n [-12, 23, -1, 19, 14, -22, -24, 4, 16, 0],\n [-15, -20, 12, -7, -7, -15, 16, -20, 3, -12],\n [-16, 11, 0, 15, 24, 5, 19, 24, 10, -16],\n [0, -16, -6, -5, 25, -8, -14, -13, -22, 1],\n [17, -17, 2, -15, 16, -16, 23, 1, 2, -16],\n [2, 14, -23, -11, 21, 7, -9, 1, 10, -3]]\nB =\n[[15, 2, 1, -7, -16, -12, 16, 17, -8, -25, -24],\n [-8, 12, 23, -2, -5, -12, 7, 18, 14, -14, -9],\n [8, -1, 24, 19, 5, -22, -1, 10, 8, 8, 7],\n [11, 12, 19, -4, -14, -23, -22, 22, -18, 6, 18],\n [-21, -3, 13, -12, -7, -3, 11, -5, -15, 10, 15],\n [14, -15, -1, -10, -2, -2, -15, 18, 20, -2, -9],\n [16, 11, 14, 15, -8, -1, -18, 13, -10, 3, -17],\n [-19, -12, -1, 11, -7, -24, -7, -24, -2, -16, 24],\n [-13, 11, -25, -11, -19, 14, -10, -19, -8, 2, -12],\n [-9, -3, -3, -2, -5, -4, 0, 10, 3, -19, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-805", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-15, 11, -1, 15, 22, 25, -18, -22, 11, 25, -17],\n [11, -12, 22, -12, -3, 7, 25, -8, 16, -16, -13],\n [20, -2, 24, 20, -2, 22, 22, 16, -23, -6, -23],\n [11, -16, 0, 11, -10, 16, -22, 24, 11, 15, 7],\n [10, 8, -16, -3, 19, -9, -18, 5, 8, -25, -6],\n [10, -21, 1, 20, -12, 8, 0, 5, 18, -24, 19],\n [2, -4, -18, 25, 22, -4, -15, -25, 23, -20, -4],\n [-24, 0, -19, 7, -10, -13, 6, -23, -5, 5, -2],\n [-19, 24, 13, 18, -18, -20, -12, -6, -24, -12, 9],\n [-1, 21, -8, 14, -18, -20, 2, -17, -1, -19, 9],\n [-10, -6, -19, -8, -7, -24, 3, 2, -11, 4, -22]]\nB =\n[[-18, -7, 4, 0, -17, 17, 2, -19, 7, 24, -22],\n [-18, 25, 8, -16, 10, 3, 17, -22, 9, 2, -4],\n [25, 0, -20, -2, -22, 20, -10, -19, -19, 11, -22],\n [-3, 6, -5, -15, -10, 14, -5, -21, 21, -15, 18],\n [-2, 9, 21, 22, 0, 3, -11, -19, -9, 11, -18],\n [15, -25, 6, -23, 7, -10, 2, 17, -2, 10, 8],\n [10, -16, 24, 0, 23, -13, -18, 6, -14, 16, -25],\n [17, 21, 1, -8, -16, -9, -6, 24, 24, -14, -9],\n [-5, 16, 17, 3, 19, 23, -10, -23, -14, -17, 23],\n [20, -14, 10, -4, 14, 15, -3, -9, -10, -7, -12],\n [8, 2, -1, 15, 16, -21, -24, 0, 4, 6, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1674", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-19, 22, 8, -6, -23, 13, -15, -21, -5, -8],\n [-22, -15, -5, 17, -16, 17, -7, 13, -1, 23],\n [3, -19, 8, -22, 16, -6, 1, -11, 2, 20],\n [25, -2, 11, 23, -16, 15, -21, 24, 16, -16],\n [-24, -8, -8, -4, 2, 25, 21, -22, 21, -6],\n [12, 1, -25, -13, -3, 10, 9, 23, -19, 6],\n [14, 23, 6, -16, -7, 20, -22, -20, -12, 14],\n [4, 5, 19, -11, -8, -4, -22, -5, -1, -15],\n [15, -12, -14, -7, -14, -18, -24, 7, 2, -15],\n [0, 6, 22, -4, -13, 11, -22, -21, -18, 14]]\nB =\n[[1, 15, -13, -6, -4, -6, 21, 6, -7, 2, 14],\n [10, 4, 11, 3, 20, 12, -22, 2, -13, -6, 12],\n [-2, 8, -15, -23, 13, 15, -24, -16, 3, 20, -22],\n [-14, -12, -13, -1, 5, 3, -20, 18, 19, -19, -25],\n [-9, 4, 4, -9, 6, -24, 19, 21, -3, 20, 12],\n [-3, -16, 2, -23, 4, 10, -12, -16, 11, 17, -9],\n [-8, -3, -23, 14, 20, 16, 19, 20, -11, -20, -25],\n [25, 24, -10, 15, 25, -2, 10, -8, -22, -21, 25],\n [20, 11, -20, 25, -24, -17, -2, 6, -5, 17, -22],\n [6, 20, -10, 7, 13, -24, -13, 23, 23, -24, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6103", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, -16, -18, 23, 11, -13, 11, 8, 8, 24],\n [15, -16, 15, -12, -25, -11, -25, 17, 14, -24, 7],\n [-20, 4, 0, -5, -2, -16, -23, -7, 0, 16, 17],\n [5, -18, -4, -25, 15, -19, -25, -25, -14, 2, 7],\n [18, 22, -25, 4, 12, -9, -7, 19, -15, 19, 8],\n [6, 5, -11, -21, 1, 13, 17, -8, 10, 18, 15],\n [-23, -4, -6, 0, -2, 0, -12, 24, -21, 3, 0],\n [22, 6, 18, 10, 21, -3, 12, 14, -7, -23, 21],\n [-10, 25, -15, 7, 16, -18, -18, -19, -10, 25, 0],\n [-10, 20, 2, 0, 13, -22, -5, 3, 6, 23, 24],\n [0, -8, 20, -23, 24, 11, -24, 4, 0, 9, -19]]\nB =\n[[18, 15, -3, -6, 0, 23, 7, -23, -5, -20, 16],\n [5, -18, 7, -25, 16, -6, -7, -25, 6, 8, 23],\n [-6, 25, 25, 12, 14, 2, 23, -18, 8, 16, -7],\n [-17, -13, -24, 8, -25, 5, -24, -4, -18, 11, 10],\n [17, 21, -23, 9, -15, 10, 16, -2, -16, -19, -5],\n [19, -22, -3, -10, -15, -8, -10, -11, -25, -12, -2],\n [13, 3, -12, -22, -18, -12, 25, 21, -7, -9, 7],\n [7, 5, 2, 22, 25, 0, 22, 21, -22, 19, 18],\n [25, 3, -4, -7, -6, 6, 25, -16, 17, 4, 12],\n [8, -16, 22, 1, -6, -10, 5, 12, -24, -21, 7],\n [15, -9, 13, 16, -21, -23, 18, 4, -23, 7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1874", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 16, -9, 18, 12, -9, 10, 15, 14, -20],\n [11, 8, 23, -11, 14, 9, -18, -23, 25, -3],\n [-21, 17, -20, -2, 18, -4, -15, 7, 15, -2],\n [-2, 0, 0, -25, 13, 9, -14, -20, 9, 12],\n [-4, 16, -16, 9, -1, -24, -18, 21, -23, 22],\n [5, 6, -21, -25, 19, -6, -24, -18, 12, -2],\n [25, 14, -12, 14, -1, -9, 3, 10, -17, -25],\n [20, 13, -22, -1, 2, 23, -18, 23, -20, 24],\n [1, 15, 20, 19, -20, 24, -17, 12, 14, -21],\n [1, 14, 15, -25, -7, 22, 10, -2, 20, -25]]\nB =\n[[-23, -2, -1, 13, -12, 7, -2, 0, -15, -23],\n [-6, 18, -17, 20, 15, -6, -18, -6, -9, 10],\n [-15, 7, 20, -13, -20, -24, 15, 14, 21, -4],\n [20, -1, 10, 20, 9, -1, -14, -5, -20, 4],\n [-4, -9, -5, -15, -11, -12, -1, -12, -18, -25],\n [-23, 22, -8, -3, -24, 6, 22, -20, -6, -20],\n [-21, -9, -14, 6, 3, 21, -21, -18, 9, -11],\n [-12, 22, -2, 18, 12, 0, 1, -25, -16, -9],\n [21, 21, -17, -19, 2, 7, -2, 6, 24, 1],\n [-5, -4, 16, -3, -3, -9, -21, -12, -13, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "579", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -21, 5, -14, -14, 19, -2, 22, 1, -6, 10],\n [-1, 9, 2, -3, 4, 0, -5, -25, 6, 1, -6],\n [18, 2, -15, -25, 11, 21, -17, -13, 20, 19, -6],\n [16, 3, -7, 9, 15, -18, 5, -5, 9, -13, 16],\n [-2, 18, 10, 25, -10, 11, -17, 13, 20, 21, -16],\n [25, 1, 25, 24, 6, -16, 23, -14, 15, 18, 24],\n [-6, -7, -6, -16, 11, -25, 4, 6, -19, -11, -4],\n [22, -15, -21, -24, 10, 5, -12, 15, 16, 21, 10],\n [-17, -13, -22, -4, 14, 2, -9, -16, -6, 10, 4],\n [-8, -17, 13, 7, -3, -4, 3, -25, -4, -1, -12]]\nB =\n[[24, -22, 14, -19, 3, -6, 22, -18, -17, 12, -20],\n [7, 5, 25, -20, -3, 10, 21, -6, -3, -11, 7],\n [-19, 7, 10, -9, -21, 19, 20, -22, -17, 1, 10],\n [-24, -15, -2, 25, 3, 24, -11, 13, -23, -8, 19],\n [12, -5, 18, 8, 16, -23, -18, 9, -23, 14, -13],\n [-10, 17, 4, 22, -17, 19, -4, 3, -13, -22, 20],\n [0, 25, 4, 25, -24, 14, 12, 19, -20, 12, -9],\n [25, -21, -14, 8, -23, 16, -15, 25, -8, 23, -4],\n [-22, -3, 3, 21, 2, -19, 17, -10, 15, 14, 17],\n [19, -1, 0, 11, -11, 1, 6, 7, -18, -20, 6],\n [19, 15, -18, -23, -4, 12, 10, 17, 6, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2024", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, 4, -20, 16, -10, 1, -16, -3, -6, 0],\n [9, -7, -8, 22, 4, -3, -7, 10, 11, -11],\n [16, 7, -2, 1, 7, -20, 8, 24, -17, 2],\n [-13, 9, 17, 8, -9, -10, 6, -7, 12, -1],\n [24, 19, -24, -25, 16, 25, 14, 16, -22, -22],\n [-11, -2, 18, 25, 9, -4, -21, -14, 4, -25],\n [-5, 10, 0, 1, -21, -24, -23, -11, -24, -21],\n [23, 20, 17, 14, 18, -5, 6, -8, 4, -22],\n [0, 14, 7, 11, -18, -18, 16, 6, 16, -1],\n [-19, -9, 13, 11, -24, 2, -10, 6, 10, -5]]\nB =\n[[11, 19, 25, 3, -19, 3, -1, -7, -2, -22],\n [-11, -5, -4, -3, -8, 13, 21, 15, 18, -19],\n [19, 13, 25, -4, 20, 17, -16, 4, -20, 9],\n [3, 23, 0, -15, -22, -17, -17, 0, -23, 2],\n [14, 9, 17, -7, 0, -4, 12, 16, 8, 13],\n [-3, -7, 1, 18, -19, 6, -17, 7, -23, -17],\n [1, 6, -13, -25, 24, -4, 24, -24, 0, -13],\n [-18, 25, -5, 24, 5, -11, 24, 11, -17, -1],\n [-2, 22, -14, 20, 10, -10, 12, -15, 11, 7],\n [-20, 24, 17, 21, 2, 3, -11, -19, 22, 9]]\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[[21, -4, 6, 16, -7, -25, -22, -19, 15, -19],\n [-23, 8, -14, -22, -15, -8, -24, -5, 19, -8],\n [-14, -9, -7, -10, -7, 19, -24, 24, -3, 9],\n [-16, 9, -4, 17, 24, 25, 14, -14, 14, 3],\n [-13, -10, 0, 25, 20, -11, -20, -2, -4, 24],\n [6, -4, 25, -9, -25, -5, -12, 12, -7, -23],\n [21, 2, -7, -6, 25, -17, 5, 18, 20, 20],\n [-18, 6, -1, -4, -4, 10, 12, 15, 11, -20],\n [-13, -17, -5, -10, -9, -21, 19, -20, -6, -6],\n [23, -11, -3, -18, -1, -20, 23, -11, 1, 14],\n [5, -19, 7, 10, -8, 18, 4, 1, -16, -2]]\nB =\n[[9, 4, 24, -23, -17, -10, 8, -25, -23, -21, -1],\n [11, -14, -24, -12, 3, 2, -6, 17, -18, -19, 20],\n [-15, -9, -21, -25, -13, 15, -4, -10, 5, -23, 23],\n [-17, 25, 4, 10, 8, 9, 2, -11, -7, 6, -2],\n [0, 13, -10, 7, -24, -10, 20, 3, 1, -13, -24],\n [7, 11, -6, -15, -23, 23, -20, 10, -1, 20, -6],\n [-5, 10, -17, 2, -8, -16, -25, -22, 0, -15, -3],\n [-22, -24, -25, -17, -17, -6, -13, 16, -1, -16, -9],\n [-21, -13, 1, -13, 7, 19, 11, 10, -4, 24, -14],\n [-7, -4, -20, -1, 22, -22, -1, -7, -16, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69047", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[25, 20, -16, -23, 11, 17, -23, 8, -19, -1, -21],\n [4, -6, -25, 21, -10, 21, -11, 3, -1, -13, -11],\n [7, 20, 9, -20, 7, 5, 11, 25, -23, -12, -25],\n [8, 14, 4, 14, -20, -16, 7, 23, -12, -14, -19],\n [-21, -3, 12, 1, -13, -21, -22, -16, 19, 3, -13],\n [-6, 0, 13, -14, -8, 3, 2, 9, -21, -24, -18],\n [7, -10, -3, -10, -19, -3, 5, 22, -10, 9, 9],\n [-24, 1, -7, 12, -22, 16, 17, 0, -23, -21, -21],\n [7, 6, -11, -2, -3, 7, -20, -12, 24, 5, 0],\n [22, 23, 14, -22, -7, -25, -15, -17, -18, -2, -18],\n [-5, -21, 21, -2, -2, 24, 18, 8, 12, 5, 2]]\nB =\n[[5, 17, -24, 1, 13, -7, -14, -17, 21, 3, 3],\n [-1, 5, 25, 0, 0, -14, 10, 11, -3, -11, -17],\n [2, -2, 21, -3, 21, 25, 5, 4, 25, 10, 5],\n [23, 19, -13, -19, 4, -21, -14, 5, 16, 21, -4],\n [-4, -25, -4, -18, -9, 22, 11, 1, 16, -12, 8],\n [7, -21, 16, -2, -22, -5, -1, -1, -6, 17, -4],\n [6, 8, -7, -25, -9, -4, 12, 11, -9, 16, -8],\n [15, 13, 22, -15, -13, -18, 6, -25, 19, -14, -14],\n [21, 9, -19, -7, -2, -20, 9, -25, 14, 21, 14],\n [19, 18, -1, -19, -10, 7, -25, -3, 4, -19, 9],\n [3, 12, -20, 10, 6, -17, -6, -6, 2, 4, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-678", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 2) of the product matrix AB given:\nA =\n[[-21, 21, -8, -20, -19, -23, 11, -14, 7, -2],\n [-6, 0, 11, -22, 5, 24, -1, 4, 23, -9],\n [5, 14, -12, 7, -12, 21, 17, 12, -7, 12],\n [17, -9, 7, -12, 3, -20, -2, 2, 10, -23],\n [12, -22, 12, 6, 25, -17, 16, 19, 22, -14],\n [24, 14, 8, 7, 11, 15, 21, -3, 1, -16],\n [-10, 0, 5, 18, 24, 20, -22, 9, 8, -12],\n [15, 19, -25, -12, -16, 8, -12, -21, 25, -24],\n [-22, 24, -10, 14, 17, -10, -15, 20, -22, 20],\n [18, 20, 19, 15, -20, -18, 2, -20, 16, 12]]\nB =\n[[5, 11, 10, -15, -10, 17, 14, 6, -24, -14],\n [6, -14, 4, 9, 20, -7, -25, -21, 21, -9],\n [0, 3, -22, -14, 9, 2, -3, -9, -3, 23],\n [0, 15, -20, 18, -16, 5, 25, 13, -13, 0],\n [-15, -8, -15, 11, -7, -24, -1, -24, 24, -23],\n [1, -20, -3, 24, -9, 8, 16, 18, -17, -8],\n [-3, -10, -13, 7, -20, -12, -1, 15, 12, 9],\n [-18, 7, 12, -12, 19, 10, 17, -22, 17, -23],\n [-9, -9, -8, -9, 7, -21, 11, 3, 2, -15],\n [17, 7, 9, -3, 19, -4, -20, 14, 6, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-290", "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, -8, -22, 25, -8, 1, -6, -17, 12, -9],\n [11, 13, -19, -8, -10, 2, -17, -9, -9, 21],\n [-23, 4, 6, 21, 16, -25, -20, 12, 8, -10],\n [0, 9, 13, -19, -2, 10, 20, -9, -20, 10],\n [-9, 15, 23, -22, -7, 25, 0, -15, 17, 6],\n [-1, 6, 8, -2, 22, 12, 14, 21, 14, 17],\n [7, 11, 14, 23, 3, -6, -3, 17, 3, 11],\n [5, 24, 9, 11, 1, 4, -8, -17, -21, -8],\n [-25, -6, -12, 12, 22, -5, -19, -11, -21, 15],\n [22, -20, 22, -5, -25, 12, -21, -16, 22, -23]]\nB =\n[[10, 16, -17, 1, -17, -4, 17, 12, -10, 6, 1],\n [-18, -3, -4, 8, -11, 16, 11, 22, -20, -23, -9],\n [19, 22, -20, -10, 1, -13, -10, 10, 11, 5, -22],\n [-5, -25, -11, 20, -6, -22, 2, 16, -20, 25, 25],\n [11, -23, 20, -10, -3, 2, -23, 19, 6, 10, -12],\n [-24, -9, 9, 10, 15, -1, 11, 14, 11, 5, -8],\n [-9, 20, 22, -19, 15, 13, -4, -5, 19, 7, 15],\n [-8, 5, -18, -19, -20, -2, -19, 14, 11, 3, -3],\n [20, -15, 0, 14, -17, -25, 3, 16, 2, 9, -7],\n [-11, 5, -11, 13, 20, 14, 22, -3, 0, 4, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63567", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -12, 21, 3, -9, -13, 2, 15, -4, -12],\n [17, -7, 11, -25, 4, 12, 10, 16, -22, -9],\n [-25, 2, -9, -5, -21, 3, 1, -3, 21, 14],\n [-25, -19, 3, 5, 23, -16, 16, -10, -11, 6],\n [-16, 1, -20, 9, -14, -12, 17, -18, -15, -7],\n [16, -19, 0, -10, 0, -18, -12, -9, -6, 24],\n [10, 25, -3, -14, 5, -3, 20, 13, -7, 13],\n [16, 22, 17, -11, -16, 22, -8, -19, 19, 22],\n [-8, -13, 16, -12, 24, 13, 15, -24, 25, -20],\n [9, 16, -22, -23, 4, -15, -3, 23, 12, 10]]\nB =\n[[-2, -20, 3, -4, -17, -15, -6, -17, 10, 25, -7],\n [2, -15, 7, -2, 11, 8, -14, -10, 4, -15, 6],\n [23, 15, 1, -10, 3, 13, 16, 7, -4, -9, -2],\n [14, 22, -17, 5, 16, -3, -14, 0, 5, -16, 4],\n [18, 12, 2, -7, 12, 17, -21, -8, -18, 13, -14],\n [0, 22, 21, 16, -8, 13, 14, 2, -25, -18, -2],\n [22, 13, 4, 3, -15, 1, -12, -25, -10, 0, 25],\n [21, -24, 21, 11, 12, 13, 10, -1, 6, 1, 11],\n [-16, 19, 13, 19, 24, 11, -10, -25, 13, 16, 17],\n [2, 9, 19, -25, 3, 19, 16, 8, 4, -25, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56897", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, -2, -16, 1, 6, -14, 19, -22, 14, 0],\n [-10, -16, -4, -21, -2, 3, 9, -12, -21, 2],\n [-17, 2, 13, 3, 12, -20, 20, 15, -2, 22],\n [24, 20, 0, -17, -12, -5, 18, -15, -12, 7],\n [14, 13, 23, 1, 14, -2, -11, 17, 21, -21],\n [-18, -17, -20, -10, -20, 10, 16, -6, -8, -10],\n [-13, -11, 9, -16, 18, -6, 5, -10, 8, -18],\n [-11, -19, -23, -5, -21, 24, 5, -4, -13, 16],\n [21, 19, 11, 23, -18, 8, -3, -8, -22, -13],\n [4, 16, 16, -21, 5, 17, 16, -3, 24, 20]]\nB =\n[[15, 24, -6, -2, 17, -19, -19, 19, 20, 13, -8],\n [1, -6, 7, -9, -2, -7, 21, -10, -25, -3, -23],\n [20, 11, -23, 17, -4, 23, 7, -10, 12, 24, 19],\n [14, -12, 22, 0, -12, -4, 17, 17, 5, 20, -11],\n [-3, -4, -17, -2, 5, -25, 15, 12, 18, -13, 16],\n [-15, -21, -20, 5, -9, 6, 0, 24, 5, 1, 22],\n [0, -7, -17, 21, -18, -21, 25, 17, -5, -3, -7],\n [23, 24, -16, 16, 9, -3, 12, 1, 10, 4, 10],\n [2, -21, -19, -9, -14, -19, 22, 19, -7, 17, 10],\n [-8, -3, -14, 20, -10, -24, 14, -3, 8, 22, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8320", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 11) of the result:\nA =\n[[24, -17, -14, 5, 21, -16, 4, 3, 24, -17, -12],\n [11, -5, 18, 11, -18, 21, -15, -18, 7, 12, 13],\n [-17, -22, 12, -11, -5, 13, -15, -7, 14, -16, -24],\n [-20, -1, -18, -13, 2, 13, -15, 22, -3, -18, 17],\n [24, -21, 14, 6, 14, -8, -17, -21, -9, -19, 9],\n [-3, -16, -9, -5, -16, -11, -20, -16, -1, 0, -6],\n [12, -18, 12, -9, -7, 25, 8, 2, 6, 18, -3],\n [-5, -15, -14, 19, 7, -23, 25, 0, -3, -6, 12],\n [-21, -24, 12, -2, 22, 22, 13, 9, 1, 2, -7],\n [14, -23, -12, 5, 10, -20, 11, -4, -1, 3, -1],\n [-24, 19, 9, -7, -21, 7, 1, -8, -21, -18, 15]]\nB =\n[[18, -7, -15, 8, -10, -8, 8, -14, -14, 0, 3],\n [-17, 20, 4, 11, -15, -15, 6, 18, -6, 25, 22],\n [16, 10, 13, 17, 20, -11, 20, -24, 23, 5, -21],\n [23, -1, 9, 22, 2, 14, -15, 23, -25, 12, -7],\n [24, 1, -7, -23, -22, 16, -22, -11, 4, -25, 7],\n [-18, -4, -21, -9, 6, -17, 25, -13, 14, 20, -11],\n [-5, -11, -10, -24, 0, 18, 16, -3, 7, 18, 13],\n [20, 20, -11, -5, -22, 11, -21, 7, 2, -18, -4],\n [-17, -10, 18, 7, 16, 19, -21, -14, 17, 12, 24],\n [-4, -23, 16, 11, 18, -23, 23, -19, -14, 21, -15],\n [-25, -21, -3, 20, -7, -18, -13, 20, 16, -13, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-431", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[17, -15, 6, 2, -23, 2, 13, -7, 19, -11, -20],\n [-1, 21, 4, -21, 16, -24, -3, -5, -21, 17, 5],\n [0, -12, 8, 0, 17, 15, -16, 11, 11, -9, -6],\n [16, -20, -10, 18, 14, 24, 5, 10, -24, 7, -15],\n [8, 14, -12, -13, 16, -2, -13, -18, 8, -12, 23],\n [-8, 4, 1, 14, 4, -21, -5, -11, 22, -10, -25],\n [-9, 4, -18, -16, -7, -7, -6, -15, 6, 25, 6],\n [-14, -13, -4, 21, 24, 25, 19, 3, 10, -21, -1],\n [-22, 10, -1, -13, -23, -17, 20, -2, 10, 14, 9],\n [-22, -18, -16, 13, 10, 23, -16, 2, 12, -25, -2]]\nB =\n[[-13, -6, 16, 19, -19, 2, -13, -15, -19, -11, 7],\n [6, -1, -16, 13, -5, -4, -14, 2, 20, -25, 16],\n [12, 24, -4, 19, -23, -21, 20, -23, 12, 2, 23],\n [-13, -8, 19, 18, -10, -9, -23, -11, -9, 16, 22],\n [7, -22, 2, 22, 15, -18, 16, 13, 5, 7, -24],\n [-22, 23, -20, 7, 0, 25, 0, 25, -25, -14, 11],\n [14, 18, 18, 5, 3, -9, -16, -22, -24, 2, 13],\n [-20, 7, -8, -20, 6, 22, 14, -5, -25, -13, 4],\n [-22, -20, 18, 6, -8, -2, 8, 14, -17, 23, 10],\n [21, 11, 25, 19, -21, -6, 5, 3, 9, -15, 5],\n [10, -25, 21, -8, -24, -25, -1, -23, -2, 21, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1064", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[18, -15, 17, -6, 24, 7, -16, -17, -6, 24],\n [-1, -21, 24, -4, -15, 19, -1, 22, -24, 11],\n [-7, -5, -17, 3, -1, 18, 23, 14, 9, -18],\n [-2, 5, 22, -16, 24, 1, -7, -24, 19, 12],\n [5, -11, 0, 22, -16, 19, 10, 1, -15, 22],\n [-15, -13, 22, 17, -17, -10, 23, -9, 15, 11],\n [-25, -24, -7, 4, 20, -18, -22, -9, -18, -9],\n [-8, 6, 14, -12, 19, -2, 0, 23, -24, 14],\n [17, -22, -1, 9, 1, -18, 0, 13, -2, -1],\n [-6, 22, 16, -21, -20, 9, 3, 14, 17, -8]]\nB =\n[[1, 23, 19, 20, -16, 23, 23, 17, -9, 15],\n [25, 8, -23, -8, -10, -24, 23, 10, -5, 5],\n [-9, 24, -7, -9, 6, -16, -23, 12, -8, 2],\n [-19, 22, -20, 19, 23, -16, -24, -6, 9, -7],\n [-15, 16, 10, -20, -3, -15, 9, 3, 3, -10],\n [7, -9, 9, 23, 16, 11, -7, -6, -21, -23],\n [-19, 22, 25, 21, -1, 4, 25, 17, -10, -17],\n [-5, 18, -14, -12, 13, -24, 2, 25, -2, 25],\n [-7, -12, -7, 12, 20, -3, 20, -10, -19, -9],\n [4, -18, 12, 13, -15, 13, 20, 3, 23, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52522", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -16, -18, 5, -10, -20, 8, 12, -12, 5],\n [18, 25, 19, -12, -10, 15, -6, 16, -4, 4],\n [16, 18, 18, -7, -10, -13, 19, -20, 6, 14],\n [21, 24, -4, -5, 1, -12, 11, 4, -14, 0],\n [-18, 25, 24, -17, -7, 24, 21, 0, -4, 0],\n [-8, 10, -22, 16, -10, 11, 1, 6, 3, 19],\n [-23, -22, -25, -16, 0, -1, 14, 13, -5, -11],\n [4, 1, 3, 24, -23, -10, -5, 17, -13, -1],\n [-23, -4, -12, 20, 23, 1, -3, -21, 22, -24],\n [-7, 1, -16, 0, 8, -24, -6, 23, 12, 14]]\nB =\n[[11, 8, -16, -21, -14, -9, 9, 8, 7, -4, 5],\n [-4, 21, -22, 10, 13, 14, -21, -12, -9, -15, 21],\n [7, 3, -23, -20, -6, -15, 6, 5, 8, -18, -20],\n [-10, -23, 14, 24, 3, 5, 14, 15, -20, 17, 2],\n [-2, -12, 5, 0, -18, -2, -25, -16, 6, 17, 24],\n [24, -18, -7, -14, -11, 15, 11, 20, 24, -15, 19],\n [8, -9, 2, -12, -2, 18, -5, 12, -3, -19, 22],\n [1, -1, 6, -21, -18, -5, 6, 2, -23, 10, 3],\n [22, -1, 25, 6, -5, -1, -22, -6, -9, 22, 16],\n [18, -24, -9, 9, -13, 18, -13, 8, -22, 25, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-11, 25, 1, -21, -16, -5, -2, -5, 8, 5],\n [15, -10, 1, -4, -22, 3, -16, 3, 14, 25],\n [25, 3, 2, -25, -24, -22, -17, -22, 14, 3],\n [3, 6, 19, 9, -6, 3, -9, 3, -6, 4],\n [6, -4, 16, 3, 17, 17, -3, -20, -11, 6],\n [-10, -18, -3, -11, 23, 7, -15, -1, 14, -11],\n [-17, 7, -13, 24, -1, 0, 1, 23, -15, 8],\n [8, 11, 11, -17, 18, 0, -23, -7, 9, -25],\n [-16, 21, -2, 11, 10, -15, 16, 9, 7, 15],\n [3, 15, 8, 24, 14, -15, -25, 15, -23, 12]]\nB =\n[[15, -11, 0, 23, 22, -24, -16, -18, -21, -15],\n [-14, -14, 4, -20, -25, -20, -6, -16, 16, 7],\n [20, 4, -22, -10, 20, 2, 5, -16, -25, 14],\n [15, 19, 12, -5, 2, -17, -5, -9, -19, 23],\n [-7, -23, -8, -4, -16, -7, 21, -3, -22, -15],\n [-7, 25, -6, -6, -3, 0, 19, -18, -22, -12],\n [-25, -11, -7, 1, -9, 1, 16, -10, -2, -13],\n [-1, 24, 8, -20, 8, -12, -14, 11, -14, -4],\n [-4, 20, -19, 5, 6, 25, -7, 1, 3, 10],\n [-9, -13, 4, -16, 21, -25, 13, 8, -4, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53621", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -23, -5, 1, 3, 20, 21, -15, -13, 12],\n [-6, -24, 2, -8, 5, -6, 19, -12, 24, -18],\n [0, 18, -5, -3, -20, -7, 0, -23, -24, 23],\n [-19, -13, -12, -16, 3, 2, -6, -20, -5, -16],\n [-19, -23, -14, 21, -7, 17, 1, 19, -9, -6],\n [-15, -3, 1, 13, 4, 3, 11, -24, -25, -7],\n [-1, -21, 0, 13, -1, 14, 9, -19, -24, 17],\n [1, -10, 7, 21, -6, -7, 13, 8, -21, -3],\n [21, 3, -22, 18, -4, -11, 4, 2, 16, -2],\n [21, 24, 4, 18, -13, -13, -14, -2, 5, 1],\n [25, 20, 16, 0, 19, -5, 22, -12, 12, 10]]\nB =\n[[24, -16, 9, -12, -9, -24, 0, -9, 7, 22],\n [-25, 16, 11, 22, -24, -12, 5, 18, 17, 2],\n [15, -8, -10, -15, -18, 9, -7, 22, 6, -18],\n [18, 25, 20, 9, -14, 24, 19, -8, 6, 0],\n [12, -20, -13, -19, 10, -19, 22, -14, 9, -24],\n [-23, 11, -5, 4, 1, 1, -15, -8, -19, -24],\n [0, -18, -2, -25, 22, 21, 6, 9, -8, 8],\n [11, 21, -19, -3, -9, -20, -16, -2, 17, 19],\n [2, 5, 10, 5, 7, 6, -15, -15, -22, -20],\n [6, 0, 6, 13, 16, 3, -21, -23, 22, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10965", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -12, -2, 7, 8, 5, 24, -1, -17, -2, 12],\n [-20, 11, 23, 23, 14, -12, 13, -6, 4, -19, -3],\n [15, -5, -24, 1, 4, -5, 12, -3, 9, -5, 12],\n [5, 24, -17, -6, 7, 19, -10, 6, -7, -8, 2],\n [-3, 7, -17, 24, -6, -6, -10, 11, -10, -15, 8],\n [-12, -4, -6, 13, -13, -21, 3, 19, -4, 16, -20],\n [1, -10, -11, -3, 21, -5, 10, 16, -17, -14, 17],\n [-4, -3, 14, 23, 21, 6, 9, 14, -14, -15, -2],\n [0, -2, 25, -14, -15, 13, 5, -20, 16, 12, -12],\n [20, -11, -8, 8, -19, -23, 16, -23, -15, -4, -15]]\nB =\n[[-13, -12, 25, -20, -12, -9, 17, -12, -25, -10],\n [-18, 15, -7, -21, 12, -7, -15, 20, 14, 21],\n [25, -17, 19, 16, 13, 17, -15, -15, 18, -15],\n [-21, 5, -2, 7, 1, -23, -15, 24, 8, -17],\n [-10, -15, 23, -23, -25, -25, -16, 21, -3, -18],\n [-16, 6, -7, 23, -25, 3, -3, 11, -25, -14],\n [8, -22, 19, -17, -7, 4, -17, 21, 21, -23],\n [8, 22, 16, -20, 14, 14, 21, -5, -4, 5],\n [20, 11, 22, 8, 0, -1, 2, -10, -15, -2],\n [-16, 21, 21, -1, -13, -12, -15, 21, -10, -8],\n [13, 20, 5, 1, -16, 6, 1, -16, -7, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6792", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -20, 7, -17, -3, 6, 3, -15, 11, 23],\n [0, 17, 24, 24, 11, 14, -19, -11, -3, 8],\n [21, -25, -18, 0, -15, 6, 21, 24, -13, 25],\n [21, 6, -13, 21, 24, -19, 11, -3, -19, 10],\n [2, -22, -22, -2, -4, -8, 18, -17, 15, -18],\n [-24, 3, -5, -8, -9, -13, -6, -3, -12, -11],\n [23, -23, -5, 16, 19, 0, -16, -10, 18, 20],\n [-23, -10, -3, 1, -9, -9, 7, -17, -22, -20],\n [-6, -18, -24, -15, 8, 20, -22, 21, -8, -8],\n [-8, 21, 10, -7, 21, -21, 6, 14, -21, 17]]\nB =\n[[4, 12, 19, 21, -10, -14, -24, -9, 3, 18],\n [-4, -17, -10, 1, 11, -17, -8, -21, -14, -14],\n [15, 3, -12, -14, -12, -23, -19, -22, -24, 18],\n [8, 18, 15, -3, 7, 11, -4, 18, 1, 2],\n [21, -18, 13, -22, -5, -7, 13, -24, 5, -6],\n [16, 5, -23, -3, -18, 15, -16, -16, -15, -17],\n [-10, 16, 24, 6, -7, 2, 25, 3, -14, -8],\n [6, -3, -4, -21, -18, 10, 25, -9, -19, 18],\n [18, 12, 4, 21, 3, -23, 9, 8, 1, -11],\n [-18, 6, -18, 14, -17, -1, -11, -14, -23, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60730", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, -4, -3, -14, -24, 2, -10, -21, 22, 2, 10],\n [-23, -14, -15, 3, -13, -17, 5, -3, 23, -24, -4],\n [-7, 15, 3, 14, 22, -21, -20, -3, 15, 21, -21],\n [20, 18, -19, 1, -11, 8, 1, -20, 1, -6, -5],\n [24, -3, -24, -23, -17, -2, -16, 11, -1, -22, -22],\n [21, -19, 24, -9, -24, -7, -10, 16, 9, -3, -2],\n [-10, -25, -4, -9, 18, -13, -7, -14, -7, 19, 25],\n [2, -24, 0, 20, 16, 22, -20, 3, 13, -24, -25],\n [-13, -2, -6, 10, 9, 10, 1, 19, -3, 21, -16],\n [23, -11, 25, 25, -11, -17, -13, -20, -16, -25, 22],\n [-15, -8, -3, 8, 4, -24, 21, -22, -8, 23, -11]]\nB =\n[[21, 10, 14, -8, -22, 23, 9, -14, -1, -5, 12],\n [-5, -14, 23, 10, 5, 11, -10, -15, 9, -11, -6],\n [-6, 1, -10, -11, 9, 14, 13, 5, -11, 12, -3],\n [8, 17, -16, 16, 17, -23, -10, -10, 14, 21, 25],\n [-23, 11, -13, -17, 20, 4, 6, -21, -7, -15, -7],\n [-24, 22, -24, -20, -9, -12, 19, 5, -13, -18, -1],\n [24, -16, -10, 5, 12, 13, -19, 5, 25, 23, 14],\n [4, -19, 25, 2, -19, 0, 2, -13, -19, 11, -1],\n [-25, 6, -24, -1, -10, -24, 2, -17, 14, 3, 8],\n [1, -24, 11, 7, 10, -10, 6, 25, 21, 7, -21],\n [9, 22, 14, 25, 7, -22, 2, 2, 23, 18, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2244", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 8) of the product matrix AB given:\nA =\n[[-5, 9, 14, -11, -16, -6, -14, -3, -10, -11, 12],\n [15, 13, 6, 8, 9, -18, 21, -18, 24, 13, 9],\n [-20, 1, -6, -6, -9, -18, -22, 18, -19, 13, -25],\n [-5, 24, 9, -9, -15, 8, 10, -25, 16, -3, 21],\n [-16, -10, -24, -18, 8, 6, 10, 18, -21, -11, -16],\n [17, 16, 25, -14, -22, 12, 6, -6, -17, -18, -13],\n [-16, 25, 4, 23, 1, 15, 15, -20, -8, 1, -22],\n [14, 13, 21, 23, 1, 10, -22, -12, -4, 7, -14],\n [-17, 4, -7, -5, -23, -21, -15, 18, -7, -23, -12],\n [8, -12, 4, 21, -16, -20, -8, -24, 4, -22, -22],\n [-21, -10, 14, -14, 22, -22, -13, 17, 3, 3, 3]]\nB =\n[[12, -17, -13, -25, -20, 25, -15, -20, -20, -23],\n [-6, 12, 11, -6, 20, -12, 19, -23, 22, 18],\n [20, -24, -18, -17, -12, 17, 10, -22, -5, -6],\n [-2, 1, 3, -15, 21, -24, -21, 16, 2, 21],\n [0, -2, -10, 4, 4, 10, 23, -5, 20, 5],\n [15, 25, 9, 10, -5, 15, 18, 20, 13, -21],\n [-24, 16, 16, -4, 18, 2, 1, 5, -19, -7],\n [12, 14, -25, 15, -19, -5, 3, 12, -13, -15],\n [15, 12, 14, 9, 25, -2, 12, 8, 13, 3],\n [-2, 9, 0, -3, 18, -24, 23, -20, -6, 7],\n [24, 8, 9, -18, -7, -23, 3, 17, 17, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-393", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -7, -9, 1, -10, -8, -7, 15, 22, 8, 17],\n [11, 5, -6, 16, -19, -13, 18, 25, 12, -19, -15],\n [19, 18, 24, 1, -13, -18, 14, 21, -22, -10, 22],\n [-2, -20, 22, -18, 25, 11, -9, 3, -20, 3, 11],\n [-11, -23, 17, -15, 11, -12, -6, 24, -9, -23, 7],\n [9, 4, 14, -14, 8, -19, 23, 3, 16, 17, -2],\n [5, 25, -24, -15, 25, -18, -18, -21, 17, 20, 21],\n [-17, -19, 0, 13, 16, -5, -6, 10, -20, -10, 9],\n [8, 20, -25, -1, 13, -23, -23, -21, -5, -21, -8],\n [12, -6, -10, 6, -13, -16, -23, -13, 4, 10, 9],\n [17, -21, 16, -6, -13, -3, 25, 17, 25, -15, 0]]\nB =\n[[-18, 5, 6, -14, -16, -5, 8, -9, 3, -24],\n [-7, 0, 15, -14, 5, 6, 4, 13, -9, 10],\n [-19, 19, 9, -9, -1, 12, -5, -23, 22, 25],\n [-24, 13, 20, 10, -22, -18, -13, 0, -12, 25],\n [15, -19, -11, 14, -21, 23, 2, -12, -13, 22],\n [-2, 0, -21, 14, 24, 1, 22, -18, 13, -3],\n [16, -1, -16, -12, 15, -24, 25, 9, 15, -16],\n [5, 17, 17, -5, 1, 18, 20, 4, 20, 17],\n [-24, -13, 7, 9, -21, 5, 22, 11, -4, 14],\n [11, -3, 15, 6, -20, 2, -10, -22, 19, -17],\n [3, 9, 25, 1, 18, 21, -16, 22, 19, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8438", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-15, -20, 1, 3, 17, -8, -15, -24, 25, 9, -8],\n [21, -11, -24, -18, -11, 16, 4, -16, -6, 1, -20],\n [21, -5, -22, -15, -5, 15, -21, -3, 7, -13, 25],\n [-20, -20, 17, -25, 6, 8, 10, 9, -2, 11, 11],\n [2, -20, 12, 3, -15, -16, 1, 21, -8, -22, -20],\n [6, 13, 10, 15, -3, 2, 7, -1, -3, -1, -2],\n [-3, 8, 2, 12, 16, 17, -9, 5, -9, -8, 4],\n [-17, -3, 25, 22, 20, 13, -2, 10, -12, 8, -14],\n [-17, -22, -18, -25, -14, -16, -8, -21, -4, 5, -4],\n [10, 22, -16, 20, -23, -11, 4, 17, -12, 20, -9],\n [-22, -16, 17, -21, 3, 11, -20, 21, -12, -9, 13]]\nB =\n[[5, 7, 7, -9, 22, 22, 4, 10, -15, -21, 11],\n [-24, -11, -13, 8, 17, -23, 10, 12, 6, -14, -7],\n [-7, -15, -19, -9, -25, 23, -2, 6, -16, -12, 12],\n [-10, -20, 11, 6, -1, 22, 25, -15, 25, 21, 13],\n [25, -20, 6, 19, -21, 15, 23, 13, -11, 0, 17],\n [16, -17, -21, -2, 5, 20, 23, 20, -17, -25, 1],\n [11, 4, 5, 0, 25, 1, -3, -11, -13, -18, 17],\n [-10, -3, -8, 0, -1, 4, -8, -8, 13, 19, 12],\n [10, 11, 8, 1, -20, 25, 21, -24, -5, -22, -17],\n [-6, 23, -3, 16, 21, 6, 23, 3, 11, -12, 2],\n [-20, -23, 4, 12, 6, -14, 2, 5, 9, 25, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3741", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 6) of the product matrix AB given:\nA =\n[[-16, -24, 10, 19, 5, 1, 6, -4, -10, 7, -21],\n [11, 19, 18, -10, -20, -10, -3, -24, 3, 18, 21],\n [-1, 18, -23, -21, -2, 16, -13, 25, 17, -14, 1],\n [-13, 23, 16, -1, -18, -15, -6, -3, 9, -9, -17],\n [19, -13, -5, 23, -3, 14, 24, 9, 18, 2, -16],\n [-5, 17, -22, 16, 17, 7, -16, 0, 3, -8, -12],\n [-2, 8, 16, 3, 8, 16, 18, -18, 5, 11, 9],\n [0, 13, -18, 8, 16, 6, -2, -17, -8, -12, -7],\n [8, -5, 15, -15, -12, 15, 23, -15, 9, 10, 11],\n [-3, -15, -13, 15, -17, -19, -20, -19, -15, -13, 5]]\nB =\n[[-25, 4, -22, -21, -5, -2, 11, 11, 18, 6, 14],\n [-2, 13, -19, -17, 3, 22, -4, -13, 19, 23, -23],\n [7, -21, -17, 0, -15, -14, 0, -14, 12, -14, 9],\n [15, 14, -10, -3, -9, 22, -18, -1, 15, 24, -5],\n [2, 11, 19, 1, -11, 13, 20, -19, 14, -7, 13],\n [-23, 17, 23, -6, 15, 21, -21, -4, 7, -22, -22],\n [12, -13, -21, 4, -9, -7, 24, -3, -15, -5, -3],\n [0, 4, 20, -17, -4, -5, -17, 7, 11, 0, -11],\n [-6, 5, 12, 2, 1, 17, -25, -15, 15, 23, -5],\n [-22, 12, 15, 2, 2, 2, -7, -1, 17, -20, -7],\n [-7, 0, -11, -7, 10, -15, 13, -15, 12, 17, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-585", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-18, 25, 24, -24, 11, 21, -14, -25, 21, 3, -11],\n [3, 15, 23, 7, 2, -12, 7, -11, -3, -7, -20],\n [1, -14, 1, 17, -1, 19, -6, -25, 4, -16, -18],\n [-16, 23, 3, -13, -17, 19, -6, 2, 21, -1, -5],\n [15, -13, -5, -13, -13, -14, -10, -11, -5, 11, 9],\n [4, 10, -9, 14, -22, 20, 2, -15, 1, -17, 7],\n [-15, 10, -2, 15, 22, 6, -7, -24, 14, -5, -15],\n [19, 1, -6, -11, 22, -21, -10, -22, 12, 5, 3],\n [14, -22, 15, -21, 4, 24, 22, -22, -19, -1, -12],\n [14, 15, 3, 10, 16, 9, -15, 2, -11, -11, -8]]\nB =\n[[-24, 4, -17, -12, -20, 1, 11, 11, 11, 7],\n [-11, -16, -22, 3, -24, 6, 20, -20, 20, -15],\n [-1, -25, -8, -23, 0, -13, -15, -21, -21, -20],\n [-14, -21, -25, -17, -22, -16, -13, -11, 13, 10],\n [-7, 17, 2, 21, 15, 9, -18, 12, 17, -4],\n [20, 7, 6, -22, 1, 18, -8, 2, 18, -18],\n [18, -15, -4, 23, -25, 7, -5, 12, -7, 9],\n [15, -20, -11, -2, 18, 23, 7, -1, -16, -13],\n [3, 15, -25, -16, 8, 10, 15, 11, -10, -19],\n [-7, 24, 1, 13, -17, -22, -17, -16, -20, 4],\n [10, 11, -17, 14, -25, 9, -11, 9, 0, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5291", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[25, 18, -23, 22, 2, 24, -11, 25, -21, -22, 19],\n [0, -25, -3, -25, -19, 24, -15, 25, -3, -24, -5],\n [-14, 22, 8, 23, 17, -15, -19, 14, 7, 3, 0],\n [13, 19, 8, -21, 14, 23, -4, 21, 0, -3, -23],\n [-24, 1, 10, 0, -15, 11, -6, 24, 9, -11, 11],\n [-23, 21, 8, -17, 13, 22, -18, -1, 0, 18, 25],\n [14, 5, 19, 23, -22, 24, 24, -25, 0, -10, -11],\n [-22, 5, 8, 19, 8, -17, -4, -13, 0, -3, -3],\n [22, 22, 12, 0, -6, -20, 0, -16, -1, 1, -17],\n [14, -6, 21, 3, -9, -2, -10, 12, -2, 5, 2]]\nB =\n[[-7, 24, 7, -24, 9, 24, 19, 9, -7, -13],\n [-9, 1, -15, 3, 16, -21, -22, 24, -24, 9],\n [-19, 0, -18, 23, 7, -15, -4, -12, -6, 2],\n [-17, 8, 25, -24, -3, -10, -11, -14, -22, -19],\n [17, 22, 25, -22, 2, 23, -16, 21, 14, -9],\n [17, 25, 0, 0, 14, -19, 4, -19, 19, -2],\n [-23, -14, 2, 7, 21, -14, -4, -13, 11, -20],\n [25, 18, -24, 9, 7, -22, 21, 3, -22, 11],\n [7, 21, -23, -10, 2, -16, -9, -5, -7, -7],\n [3, 0, 18, -25, -16, -3, -11, 14, -25, 20],\n [12, -6, 25, 25, -6, -3, 5, 23, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70169", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 11) when matrix A is multiplied by matrix B?\nA =\n[[12, 20, -21, 10, 18, 10, 25, -3, 6, 24],\n [-4, 1, 25, -12, 10, -15, -13, 23, 13, -16],\n [11, -16, 16, -22, -15, -8, 12, 16, -8, 13],\n [-25, -12, 24, 4, 7, -16, 16, 23, 5, 23],\n [-13, -18, 9, 7, -2, -13, -3, 2, -17, -21],\n [11, 14, 22, 14, -8, -22, 10, 22, -24, -13],\n [-2, 16, -8, -13, -12, -7, 15, -13, -16, 20],\n [-22, 3, -6, 17, 17, -12, -23, -3, 21, 9],\n [1, -25, -15, 18, -16, 16, 9, -1, -3, -10],\n [-22, 23, 17, 12, -12, 23, 10, -22, 13, 5],\n [9, 2, 23, -1, 2, -8, 2, 17, -3, 14]]\nB =\n[[6, -24, 8, 25, -21, -16, 17, 25, 25, 12, -10],\n [-14, -25, 19, -8, 25, 13, -9, 13, 25, 12, 3],\n [-8, 24, -18, 24, 7, -6, -22, -13, 12, 2, -16],\n [16, -2, -25, 4, 14, 5, 3, -18, 3, 5, -4],\n [-9, -20, -9, -1, -19, 7, 17, -16, -7, 24, -18],\n [-18, -16, 13, 24, 25, 15, 7, -7, 11, 15, 24],\n [-10, -15, 6, -24, -12, 12, -22, -2, 22, 8, -24],\n [-23, 7, -10, -17, 14, -16, -2, -24, 21, 11, 15],\n [-3, 4, -17, 21, -5, -3, -3, -24, 22, -18, -6],\n [-13, 6, 3, 5, -20, -17, -21, -13, -2, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-343", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 10, -10, 20, 23, 18, -12, 11, 16, 3],\n [17, -12, 25, -12, -25, 1, 24, -20, -1, -22],\n [-10, -6, 9, -16, -19, -15, 7, 23, -16, 10],\n [5, -7, 23, -18, -7, 23, 21, -23, -23, 24],\n [7, -5, 7, -23, 2, -5, 7, 14, 21, 6],\n [19, -25, 4, -10, -13, 14, 11, -13, -24, 6],\n [16, 22, -17, 19, -20, 25, -7, -9, -7, 15],\n [-20, 25, 7, -25, 2, 5, 1, 16, 0, -4],\n [7, 8, 6, 8, 13, -15, -20, 10, -8, -16],\n [8, 8, -4, -3, 24, 6, -15, -23, 17, 15]]\nB =\n[[-15, -4, -3, -1, 24, 16, 25, -8, 4, -2],\n [-25, 6, -14, 8, -6, 14, 11, 7, 2, 16],\n [-14, -1, -11, 20, 24, -3, 7, 20, 7, -23],\n [14, -5, -24, 24, 11, -14, -8, 9, -16, -4],\n [4, -11, 6, 22, 18, 15, 13, 3, 7, 2],\n [-24, 15, 19, 21, -12, 25, 20, -3, -15, -20],\n [14, -18, 23, -13, 13, 14, 20, -8, 2, 18],\n [-4, -22, 17, 8, -13, -24, -24, 22, -8, -19],\n [-1, 16, -14, -1, 12, 16, -23, 2, 13, 21],\n [-15, 14, -17, -12, -6, 11, 7, -5, -16, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4220", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -8, -21, 15, 18, 25, 8, 11, 15, 0],\n [7, 12, 10, -13, 15, 5, 17, -3, -25, 8],\n [14, 13, 3, -6, -9, -12, -3, 11, -5, 15],\n [9, -21, 16, 1, -8, -5, 11, 8, 9, -14],\n [7, -15, -22, 10, -5, -23, -2, -25, -25, 11],\n [24, 18, -18, -3, 13, 22, -16, 24, 0, 15],\n [-15, -15, 15, 8, 0, -8, 20, 8, -21, -12],\n [19, -2, -7, -17, 23, -21, 4, -8, -7, -17],\n [13, -1, -4, 3, 15, -8, 5, -12, 16, 24],\n [-6, 11, 16, 15, 8, -18, -10, -17, 11, 19]]\nB =\n[[2, 24, -18, 23, -23, -6, 20, -16, -19, 18],\n [9, 20, -9, 3, 5, 24, 21, -3, 8, 7],\n [5, -12, -16, -7, -24, 15, 8, -10, 20, 18],\n [-18, -11, -15, 1, -1, 13, -24, -13, 25, -5],\n [-8, 3, -18, -6, 11, 6, -17, 4, 25, -6],\n [12, -3, -18, -25, -20, 18, -25, -25, 19, -14],\n [-12, -22, 17, 5, -1, 0, -14, -8, 10, 12],\n [17, -24, -14, -25, -7, 21, 23, 17, 23, 16],\n [13, -21, 21, -21, -5, -24, 13, 17, 5, -21],\n [-24, 22, -19, 14, 5, -19, -21, 6, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[12, -18, -9, 6, 15, 22, 13, 2, -6, -8],\n [-11, 13, 14, -20, 11, 9, -9, 25, -12, 10],\n [-18, 17, -18, -1, 24, 7, 21, 3, -6, 22],\n [-10, 19, -10, -23, -1, 11, -24, -23, 18, -20],\n [-10, 6, 4, 6, 6, 0, 15, 17, -10, 11],\n [-5, -4, 11, -13, -17, -21, 2, 23, -3, 1],\n [15, 20, -22, 23, -9, -7, -24, -20, -24, -6],\n [-16, -14, 7, -18, -18, 15, 1, -6, 7, 12],\n [0, -9, -16, -22, 7, -3, -8, -4, 24, 24],\n [-1, 23, -8, 14, 5, 19, 15, -25, -10, 18]]\nB =\n[[9, 6, -9, 19, -15, -13, -21, -15, -3, -9],\n [9, 14, -10, -6, 8, 25, 17, -3, 14, -19],\n [-7, 8, 18, 10, 14, -8, 18, -18, -2, 21],\n [16, 12, 5, 13, 25, -9, -2, -13, 12, 12],\n [-3, 1, 0, 15, 17, -3, -15, -13, -7, 4],\n [21, -19, -5, 21, 2, 22, 20, 13, 21, -1],\n [-3, 6, 22, -13, -14, 12, -11, -10, 17, 19],\n [25, 6, 11, -17, 7, -2, -22, -25, 6, -25],\n [25, -16, 20, -5, -11, -10, 19, -17, -22, -7],\n [2, 0, -1, 19, 22, 19, 18, 20, 15, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52097", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[13, -6, 5, -14, -1, 8, 0, 17, 23, 9],\n [14, 13, 22, 19, 2, 11, 0, 1, 8, -5],\n [-19, 6, -20, 23, -4, 9, -23, 22, -4, -10],\n [13, -6, -13, 13, -23, 25, 19, -6, 2, 24],\n [-19, -21, 15, 23, 22, 19, 18, -16, -8, 11],\n [-19, 3, 7, -6, -5, 21, -14, 8, 23, 20],\n [24, 22, -10, 9, 20, 2, 14, 6, 10, 10],\n [-5, -25, 4, -25, -10, 19, 20, 5, -5, -4],\n [21, -23, 10, -11, 14, 11, -8, 20, -13, -5],\n [19, 17, -5, 4, 1, -20, 4, 6, -18, 22],\n [14, -25, -6, 15, -12, 18, -21, -5, 20, -12]]\nB =\n[[-6, -21, 24, -17, -7, 4, 7, 3, 8, 18, -16],\n [-5, -7, -6, -24, 10, -5, 12, -9, -3, -25, 4],\n [-6, -16, 10, -25, -10, 25, 21, -22, -25, -9, -7],\n [-5, -12, -17, -11, -13, -17, -8, 19, -15, 11, -7],\n [-20, 9, -10, 24, 16, 9, -24, 7, 22, 22, 4],\n [-4, 10, -13, 25, -20, -10, 10, 6, 12, -1, -19],\n [-7, 4, 20, 19, -8, -2, 25, -23, -21, -1, -16],\n [-19, 21, -2, -3, -2, 5, -8, -12, -8, -17, 10],\n [-4, -11, -3, 7, -11, 17, 7, -2, -12, -11, 23],\n [-24, -8, -8, -4, -13, -19, -25, -24, -3, 25, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2840", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[22, 11, 8, 19, 2, -7, -15, -4, 21, 20],\n [-22, 19, 14, -11, -24, 3, -5, -23, -22, -21],\n [11, -13, -6, -14, 6, 6, -24, -10, -23, -1],\n [-6, -23, -15, -20, 20, -1, 2, -22, 4, -24],\n [21, -18, 18, 20, 24, -12, -22, 24, 19, 23],\n [7, -10, 13, -3, -18, -7, 20, -7, 0, -8],\n [3, 25, -12, 10, 23, -15, 24, 19, -17, 5],\n [13, 13, -25, 8, 4, -5, -15, -23, 14, 17],\n [6, -22, -4, -3, 24, 10, -11, 24, -6, 15],\n [15, 21, 12, -20, -24, 4, 18, -7, 4, 23]]\nB =\n[[-1, 22, 19, 8, 3, -22, -16, -7, 6, 2, -12],\n [11, -15, -14, 15, -21, -11, -4, -21, 15, -11, -21],\n [-14, -8, 13, 24, -23, 3, -2, 19, -5, 24, 16],\n [13, -8, 25, 7, -17, -1, -10, 23, 0, -8, 15],\n [20, 23, 16, -16, -4, 0, 25, 3, -6, 5, 16],\n [-1, -1, -4, -13, -14, -14, -2, 14, -22, -5, -23],\n [-11, -13, 13, 14, -8, -25, -14, -16, -12, 24, 17],\n [6, -21, 15, -14, 22, -15, 9, -6, 21, 14, -20],\n [-14, 9, -18, -8, 14, 15, -10, -16, -11, -18, -11],\n [25, -22, 18, 5, -17, 12, -11, 25, -1, -25, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6025", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 10) when matrix A is multiplied by matrix B?\nA =\n[[15, 0, -15, 18, 24, 18, -5, 22, 20, 5, 9],\n [7, -5, 2, -19, 2, 3, 24, -24, -15, -23, -16],\n [19, -2, -4, 25, 25, -16, -3, 19, -23, -24, -5],\n [-18, 22, -9, -9, 23, -6, 14, -20, -3, -18, 8],\n [3, -9, 18, 0, -25, -21, -7, -13, 4, 7, 16],\n [-4, -22, 0, -3, 17, -6, 12, -23, 11, 18, -25],\n [2, -13, 17, -12, 20, -1, -12, 9, 20, 7, -17],\n [15, 25, -20, -23, 14, 12, 15, -23, -11, 19, 2],\n [10, 21, -25, 5, 11, -12, 5, 16, 24, -5, 5],\n [-25, 0, -11, -23, -12, 2, 18, -19, 20, 25, 5]]\nB =\n[[10, 19, 20, -18, 24, 11, 17, -17, 7, 5, 12],\n [4, 14, -25, 10, 19, -14, -2, -2, 4, 10, 5],\n [21, 1, 16, -19, 25, 5, 2, -25, -1, -17, 11],\n [15, -11, 10, 11, -2, -8, 15, 5, 1, -8, -10],\n [-19, 10, -8, -19, 12, 21, -25, 10, 20, -3, 19],\n [-19, 25, -21, 0, -14, -22, -5, 23, 14, -14, 16],\n [22, -18, 5, -2, -1, 21, 9, -22, -21, -21, -10],\n [5, -10, 16, 11, 19, 20, 16, -8, -9, -22, 7],\n [-19, 1, 2, -15, 17, 24, 24, 15, 24, -10, -8],\n [-7, -12, -14, 18, 16, 3, 3, 25, -24, 12, -4],\n [-11, 25, -6, 17, 18, -24, -7, 11, 3, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-720", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 15, -14, 0, 19, 16, 25, 0, -15, -7],\n [-23, 11, 18, 16, 10, -3, 19, -4, -8, 7],\n [2, -17, 9, 21, 9, 17, -5, 15, 21, -1],\n [13, -18, 16, -15, 13, 17, -6, -19, 24, -15],\n [-3, 12, 18, 3, -3, 16, -25, 23, 21, -10],\n [20, 7, 22, -23, 7, 17, -23, 22, 1, -23],\n [-25, -18, 6, -7, -6, -13, 18, -16, -7, -5],\n [19, -19, 21, 21, 0, 25, -21, 25, 25, -6],\n [-1, 5, 4, -6, -10, 18, 0, -24, 1, 12],\n [11, -21, 2, -15, 20, -4, -13, 18, -24, -7]]\nB =\n[[-22, -24, 2, -22, 15, 14, -14, 0, -19, -5, 5],\n [4, 18, 25, 18, -14, 10, -9, 24, -11, -22, -10],\n [-18, -10, 10, -25, 21, -12, 12, -13, -5, -5, 17],\n [23, 16, 11, -3, -10, 25, -14, 3, -22, 18, 25],\n [9, 14, 15, 11, -12, -6, 21, 6, -2, -2, -3],\n [13, -21, 5, 25, 23, -11, -9, -11, -1, -9, 7],\n [-13, -7, -25, -8, 7, -12, -11, 18, 22, -17, -25],\n [17, 5, 4, -25, 19, 17, -16, -18, 14, 20, -21],\n [11, 0, 23, -8, 5, -17, -17, 15, 21, 17, 14],\n [13, 21, -23, -15, -16, 22, -24, -17, -13, 19, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5902", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -4, 20, -5, -22, 19, 9, -19, -25, 6],\n [-20, -17, 20, -12, 9, -6, 16, 20, -16, -15],\n [-12, 17, 4, -1, 14, -14, -6, 4, 19, 4],\n [0, -14, -9, 19, 16, 12, -18, -12, 19, -5],\n [23, -19, -8, 17, -9, -14, 10, -2, -5, 19],\n [1, -9, -25, -15, -11, 19, -14, 13, -20, 16],\n [-25, -17, -5, 18, -25, -3, -7, 8, -14, -16],\n [-8, -4, -18, 12, -16, 17, -12, -7, -18, -23],\n [-24, -7, -21, -16, 3, 7, 22, -11, -20, -14],\n [-17, 24, -20, -5, 18, 4, -8, 8, -10, 21]]\nB =\n[[-15, -4, -24, -25, 11, 13, 5, -21, 9, -24],\n [25, -4, -4, 4, -1, 9, 13, -2, 9, 20],\n [21, -5, 9, 7, 7, -17, 11, 0, -24, 18],\n [-6, 20, -21, 17, -1, -8, 10, -10, -23, 24],\n [-7, 22, 13, 4, -17, -24, 17, 20, -3, 9],\n [-19, -20, -25, 20, 16, 3, -21, -13, -11, -25],\n [-3, 17, -13, 15, -15, -14, 5, -6, -17, -5],\n [-13, -21, 11, 3, 4, 16, 11, -15, 6, 23],\n [4, 0, 13, -21, 9, 13, -21, -22, 15, -21],\n [-14, -20, 4, 17, 12, 24, 17, 25, -18, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53464", "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, 18, 19, 2, 8, 3, -7, 1, -8],\n [-21, -20, -6, 0, 23, 0, 22, -19, 14, -22],\n [-17, 22, -6, 25, -12, 23, -8, -12, -24, -24],\n [-18, 2, -24, -25, 2, -5, -4, -16, -10, 18],\n [-7, -4, -21, -4, -13, -7, -6, -23, -8, -12],\n [11, -11, -5, 11, -9, 13, -1, -15, 17, 24],\n [-11, -23, 4, -13, -19, -12, 11, 23, 25, -8],\n [-6, -10, -17, 22, 5, -1, -13, -8, -24, -8],\n [5, -6, 3, 5, -13, -7, -16, 18, -2, -6],\n [-4, 1, 22, 25, 15, 4, 10, 18, -2, 9]]\nB =\n[[-23, -2, 22, -1, -23, -6, -1, 11, -9, 22],\n [1, -1, 6, -22, -25, -1, -8, 15, 15, 14],\n [-13, -24, -21, 0, 4, -1, 25, -2, 4, 25],\n [-24, 24, 22, 18, 23, 13, 5, -20, 3, -22],\n [-12, -10, -4, -13, 7, -25, -3, -25, 7, 18],\n [-5, -2, 1, 6, -6, 23, -7, -6, -17, 3],\n [-8, -11, 16, 8, 5, 22, -10, -12, 11, 11],\n [22, 22, 25, 12, -1, 17, -3, -24, -10, -15],\n [-11, 2, 21, -15, -9, 14, 0, 6, -3, -6],\n [-8, 2, 13, -19, 2, -7, -7, 19, 24, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52440", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -10, -1, 9, -13, 4, -22, 8, 7, 25, 15],\n [18, -9, 15, -18, 22, 23, -23, 12, 8, -2, -10],\n [11, -18, 9, -25, -16, -7, -18, -1, -19, -21, -14],\n [6, 22, 16, -8, -18, -6, -10, -24, -5, -24, -2],\n [-2, 20, 20, 16, -16, 17, 18, -16, -2, 21, 13],\n [17, 20, -15, -12, 17, 3, -19, -14, -9, 13, -13],\n [24, 1, -3, 1, -17, -22, -18, 12, -7, 18, -4],\n [19, -7, -24, -20, -17, 18, -11, 11, 12, 24, 16],\n [-5, -6, -15, 15, 10, -18, 17, 3, 2, -17, 8],\n [-17, 2, 12, 13, -22, -7, 12, 7, 18, -1, 2],\n [25, -8, -22, 25, 10, -18, -12, -25, -24, -16, -13]]\nB =\n[[-19, 13, -5, 7, -11, 23, -4, 23, 2, -6, 8],\n [-17, -1, 18, -7, 19, 25, -16, -19, -14, 16, 8],\n [-25, 21, -23, 8, 20, 7, 8, -12, -7, 10, -15],\n [1, -21, 15, 16, -11, -17, -20, -7, 5, 8, 12],\n [2, 9, -18, 3, -25, 16, -7, -21, 13, -23, -18],\n [15, -8, -19, -5, 12, 11, 0, 8, -3, -5, 7],\n [-6, -4, -2, 11, -23, -24, 4, 8, 25, -23, -23],\n [-7, -13, -18, -1, -4, -6, 1, -23, 23, -7, -13],\n [17, -25, -25, 24, 1, 24, -4, -1, 16, -4, -16],\n [-6, -15, -13, 8, 1, -19, 0, -9, 19, 23, -5],\n [11, -10, -1, -1, 4, 16, 22, 12, 20, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13381", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 1, -23, -22, 6, -11, -21, 21, 16, 24, -7],\n [-6, -7, 21, -14, -3, -21, 5, -15, 10, -4, 15],\n [21, -12, -11, -20, -12, 6, 19, 9, -20, -20, 12],\n [11, 22, -20, -9, -25, -11, 13, 9, -7, 9, 0],\n [25, 11, 25, -25, 0, 14, 8, 12, 15, -13, -19],\n [-25, 7, 8, -11, -24, -19, 25, 20, 0, 13, -1],\n [-16, -16, -16, 12, 2, 4, 22, 9, 1, -18, -17],\n [-16, 24, -5, -1, 22, 5, -24, -7, 4, -9, 3],\n [-22, -17, -7, -24, -8, -24, 24, 1, 9, -11, 21],\n [-12, -25, -21, 9, -1, 20, 6, -14, 12, 3, -6]]\nB =\n[[24, 15, 22, -23, 19, 17, 24, -1, 16, -15, 4],\n [6, 3, -18, -16, -10, 18, 2, -15, 16, -14, 17],\n [15, 12, -9, 14, 1, 25, -20, 24, 22, 10, 3],\n [-18, 13, -18, -8, -10, -3, 14, -12, -7, -19, 13],\n [9, -13, 11, 22, 0, -20, 17, 18, -22, -15, -2],\n [4, -17, -20, -13, 10, -18, -17, 6, 5, 16, 9],\n [-7, -5, 13, -24, -2, 2, -9, 2, -16, -13, 6],\n [7, -3, 0, 10, 11, 12, -12, -13, 22, 2, 12],\n [-1, -7, -13, 22, 14, 17, 21, 9, -23, -22, 18],\n [-14, -3, -22, -21, 8, -10, -4, -1, 24, -2, 17],\n [-19, -15, 10, 6, -22, -6, -1, -5, 12, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1476", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 11) of the product matrix AB given:\nA =\n[[9, 18, 20, 1, -25, 15, 2, -5, -16, 12, 3],\n [-6, 12, -19, 7, -13, -9, -17, -10, -19, 14, 15],\n [-21, -14, 24, -12, 18, 1, 23, -16, -20, -6, 21],\n [23, -2, 1, 25, -21, 18, 25, -17, -19, -18, 18],\n [24, -16, -1, 13, 7, -17, 17, 15, 23, 5, 11],\n [23, 2, -16, -18, 8, -19, 8, 17, 4, 0, 16],\n [22, 6, 5, 17, -2, -4, -9, 5, -6, 17, -21],\n [14, 9, -9, 22, -18, 25, 13, 7, 12, 5, -9],\n [-12, -1, -6, -16, 22, -9, 2, 1, -11, -8, -10],\n [6, 7, -19, 7, 23, -24, 23, 1, 4, -2, -5],\n [10, -12, -23, 17, 7, -22, 3, -22, -7, 17, 12]]\nB =\n[[20, 10, 16, 7, 22, 2, 0, 21, 2, 8, 19],\n [22, -17, -5, 8, -16, 16, -19, -25, -22, -1, -8],\n [-18, 24, 14, 24, -18, 1, 24, -23, -22, 22, 4],\n [5, -23, -3, -16, -3, -16, -17, 11, 15, 15, -5],\n [6, -18, 8, 12, -8, 5, -25, -6, -10, -24, -1],\n [16, -6, 10, 18, -11, -14, -10, -23, 13, -21, 16],\n [-9, -5, -21, -9, -14, -11, -1, 10, -24, -2, 23],\n [-8, -7, 5, 9, 11, -12, -7, 20, 25, -25, -2],\n [11, -2, -9, -9, 25, 19, 18, -10, -25, -21, 20],\n [19, -23, 2, -3, -24, 3, -14, -17, 12, 6, -16],\n [24, -10, 19, -8, -12, -9, 2, 19, -6, -5, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-681", "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, 20, 8, -19, -20, -21, -12, 3, -22, -14],\n [21, -16, 24, -22, -25, 22, 22, 12, -17, -5],\n [-1, 14, -13, -4, 17, -2, 10, 24, 13, 1],\n [10, 16, -15, 3, -16, 12, -9, 19, 10, -14],\n [-6, 8, 10, 0, 18, 21, -6, 5, 12, -15],\n [-22, -9, 20, -23, 14, 8, -2, 22, -11, 12],\n [-24, 4, 23, -8, 13, 13, -17, -17, -2, 22],\n [11, 24, -6, 18, 11, -3, 1, -15, 3, 3],\n [-15, 17, -15, 6, 14, 22, 22, 24, -1, 24],\n [-7, -1, -7, -7, 18, -1, -19, -10, 1, 7],\n [16, -13, -11, -8, -21, 25, -19, 24, 8, -12]]\nB =\n[[6, -6, -4, 6, 14, 19, 14, -5, 9, -14],\n [10, -13, 18, 23, 25, 22, -10, 0, 3, 18],\n [-14, 6, -14, 21, 17, -11, 24, 8, -11, 5],\n [9, -3, 2, 16, 1, 18, 22, -22, 17, -24],\n [-12, -16, -6, -3, -23, -6, 14, -3, -23, -24],\n [20, 7, 23, 19, 22, -5, 12, -1, -10, 3],\n [-3, 7, 24, -3, -10, -13, -25, -11, 8, 7],\n [0, -5, -10, -8, -15, -13, -14, 6, 5, -11],\n [22, 7, 25, -11, 14, -20, -9, 2, -7, 11],\n [-2, -15, -8, 4, 21, -24, -10, -18, -9, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55849", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[24, -11, 19, -18, -9, -3, -11, 24, -6, 11, -16],\n [-19, -22, -13, -2, 6, -24, -5, 9, -18, -2, 12],\n [12, -17, -10, 18, -10, 16, -22, 25, 18, -8, 3],\n [21, -1, -18, 5, 2, -22, 16, -22, 20, 10, -13],\n [15, 3, 12, 17, 7, 22, -24, -23, 14, -7, 17],\n [-13, 22, -12, 8, -21, -11, -12, 19, -22, 9, 22],\n [16, 16, -18, -17, 25, 11, 0, -19, 9, -5, -13],\n [9, 7, -8, -10, 17, -11, -18, 2, 7, -9, 2],\n [25, -10, -7, -9, 18, 16, 23, -16, 19, -7, -25],\n [18, 10, 22, -12, -21, -14, 24, -3, 10, -18, -3],\n [15, -11, 3, -5, -1, 11, -18, 12, -2, 5, -4]]\nB =\n[[2, 21, 1, 9, 20, 12, -23, 18, -16, 24, 14],\n [-5, 2, -20, 3, -21, 0, 12, 1, -9, 10, 1],\n [11, 15, 1, -8, -18, -4, 8, 19, -3, 19, 9],\n [-12, 19, -10, -1, -4, 7, 25, -9, -11, 18, 9],\n [23, 3, 0, -3, 18, -8, 6, 20, 17, -21, 25],\n [-6, 25, -10, -22, 11, -2, -12, -18, -22, 23, 9],\n [14, 9, -5, -18, 24, -13, 18, -4, -2, 10, -7],\n [7, 13, -16, -14, 21, 13, -8, 22, -8, -1, -1],\n [1, -20, -5, 20, 23, 6, 4, -6, 16, -23, -21],\n [6, -11, -3, 14, -1, -8, -11, -2, -2, 19, -2],\n [15, 8, 7, 0, -14, 2, 1, -8, -19, -17, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54655", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -15, 13, -18, -21, 6, -10, -25, 1, -10, -2],\n [-10, -21, 23, 16, -15, -17, 17, 24, -8, -25, -22],\n [4, 12, -12, -4, -24, 15, -22, -20, 6, 0, -13],\n [-14, -21, 9, 25, 14, 13, -25, 2, -4, -13, 19],\n [-19, 2, -11, 0, -14, 19, 12, -2, -22, 22, 6],\n [19, -20, -24, 11, 6, -4, 11, 22, 21, -19, 13],\n [8, -18, 3, 12, -5, -16, -18, 21, -4, -11, 13],\n [-11, 15, 6, 1, 5, -10, 0, -19, 24, -14, 13],\n [-19, 16, -13, -10, -23, -11, -23, 10, -5, 25, -7],\n [-14, 0, -24, -6, 3, 2, 8, 13, -23, 16, 10]]\nB =\n[[9, -18, -2, 4, -10, 17, 20, 25, -4, -18],\n [15, 11, -11, -17, 12, 3, 14, -12, 20, 3],\n [20, 2, -12, -22, 12, 13, 8, 5, -9, -13],\n [-12, -6, -3, -22, -9, 1, -25, -9, -7, 10],\n [0, -8, -12, -21, 11, 11, 22, -5, 17, 7],\n [-6, -10, -20, 18, -2, 16, -4, 22, -3, 7],\n [4, 13, -6, 7, 14, -10, -13, 1, 16, -12],\n [-19, -16, -14, 14, -13, -25, -12, -15, 1, -16],\n [-25, -11, 16, -17, 19, -3, -13, -18, -16, -12],\n [11, -20, -22, -14, -17, -13, 17, 8, -3, 1],\n [-3, -13, -3, 6, -23, 24, 7, 14, -25, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-11, 12, 18, 20, -3, 16, 8, 19, -2, 9, -24],\n [-12, 8, -25, -15, 7, 18, 15, -12, 21, -18, -12],\n [-14, -7, 18, 8, 24, 7, 13, -23, -8, -2, -17],\n [-5, 20, 9, 2, 6, 21, 17, 23, 7, -6, 5],\n [24, 19, 15, -7, -14, -9, -9, -22, -1, 3, -7],\n [-22, 4, -6, 21, 3, 19, -6, -15, 17, -6, 5],\n [-5, 13, 24, 21, -15, -19, 18, -1, 11, -5, -18],\n [-16, 9, 2, -24, 12, 17, 4, -5, -10, 15, 18],\n [14, 1, 9, 18, 19, -19, 16, 2, -15, 4, -13],\n [24, 3, 20, -4, -12, 23, 21, 15, 8, -11, 10]]\nB =\n[[21, -23, 24, 22, 17, -25, -3, -14, -10, -16],\n [-15, -16, 18, 16, 7, 0, -16, 12, -16, -10],\n [-9, 0, -4, -18, -15, -23, -13, 19, 19, 12],\n [17, 13, -18, -16, 14, 20, 25, 3, 4, 23],\n [-6, -24, 9, 13, -25, 19, 11, -16, 1, -12],\n [-16, 8, -14, -3, 21, -22, -12, 1, 14, -8],\n [-12, 10, -25, -12, 23, 22, 8, 0, 19, -20],\n [20, 11, -3, 18, 19, -10, 6, -19, 18, 21],\n [-9, -21, -14, 0, -18, -17, 6, 18, -4, 20],\n [-18, 2, -17, 21, 9, -5, 7, -20, 22, -16],\n [-12, 14, -24, 7, 13, -10, 24, -6, -23, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-497", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 7, 3, 19, -11, -23, 3, -21, 19, 8, 8],\n [16, -6, -19, -22, -15, 8, -7, -5, -11, -9, 11],\n [-4, -18, -15, -17, -20, 18, -17, 20, -11, -11, -24],\n [6, 25, 11, -20, -1, -14, 20, 7, -8, 12, -19],\n [15, -7, -2, 4, 21, -11, -4, -25, 20, 6, 23],\n [4, 5, -16, -9, -6, 25, -4, -6, -25, -22, 3],\n [18, 2, -25, 25, -15, 16, 1, 14, 0, -8, -9],\n [16, 22, 7, 13, 16, 23, 3, 11, 15, -10, 16],\n [-2, -21, 5, 9, -15, -24, -5, -19, -12, -9, 8],\n [9, -21, 25, -10, -9, 23, -17, -12, 5, 15, 8]]\nB =\n[[-6, -25, 12, -9, -10, 8, 22, 24, 23, -19],\n [15, 18, 1, -11, 14, 24, -4, 4, 10, 7],\n [19, -17, -24, -25, -20, -4, 21, -8, 18, 8],\n [9, 10, 0, 19, -21, 4, -13, 7, -3, -5],\n [-8, -20, -22, 10, 11, -25, 0, 16, 14, 23],\n [23, 14, -12, -5, 22, 18, -17, 10, -22, -5],\n [24, -9, -10, 15, 22, 2, -24, 12, -8, 11],\n [24, 11, 1, -25, -25, -25, 18, -14, 11, -14],\n [-13, 16, 20, -9, 16, -10, 14, 18, 19, -20],\n [-10, -8, -4, -2, -5, 9, 15, -17, 23, -19],\n [-14, 5, -25, -1, 13, 11, -6, 7, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2795", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-17, 22, -18, 8, 12, -10, 0, -25, -5, 11, -13],\n [2, 9, 20, -18, -5, 23, 3, -7, -12, -17, 13],\n [20, 1, -25, 18, -22, 5, -11, -25, -18, 21, -20],\n [1, 0, -24, -13, 4, -19, 8, 7, 1, -3, 14],\n [-10, 17, -3, -1, -19, 13, -24, -1, 19, 10, -12],\n [15, -8, -22, -12, 5, -4, -19, -4, -22, -4, 9],\n [-9, 14, -6, -17, -25, 23, -3, 9, 20, 2, -12],\n [18, -4, 2, 21, -22, 9, 14, -20, -9, 12, 22],\n [8, 15, 6, 5, -12, 19, -13, 23, 13, -23, -5],\n [-13, -15, 9, 24, -22, -14, 22, 14, 21, -11, -10],\n [22, 13, 20, -18, 24, 15, -22, -6, -18, -1, 24]]\nB =\n[[-22, 21, 7, 0, -21, 2, -22, 7, 15, -2],\n [7, 19, 20, 1, 3, -23, 4, 11, -15, 2],\n [-24, -3, 11, -17, 5, -14, -18, -14, -25, 22],\n [23, 21, -15, -22, -12, 5, -23, 10, -20, 8],\n [-6, 13, 5, 8, -3, 16, 22, -8, -12, 14],\n [-5, 3, -21, -8, -20, -5, 11, -21, -17, 6],\n [11, 21, -1, -4, -22, 13, -1, -14, 5, 18],\n [24, -25, -4, 10, 7, 16, -3, 8, 18, -6],\n [6, -20, -4, -14, -3, 9, 23, -12, -14, 22],\n [4, -4, -10, -4, 3, 20, 16, -19, -11, -24],\n [-4, -11, -7, 1, -3, 4, -1, 14, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6803", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[-7, 0, 23, 7, 10, -23, 13, -1, -13, -12],\n [14, -16, -2, 17, 24, 10, -4, 8, -12, -17],\n [24, -14, -4, 7, -8, 5, -14, 12, 8, -11],\n [14, -25, 5, -16, 8, 22, 11, -13, 12, 19],\n [-16, 21, -4, 12, 0, -15, 23, 7, -16, 5],\n [-5, 20, 8, -1, -17, -8, 4, -5, 24, 3],\n [14, -9, -22, 22, 7, -3, -19, 8, -2, -19],\n [-18, -23, 14, 25, 19, 23, 1, -22, -24, -21],\n [-16, 11, -17, -18, -23, 3, 19, -11, 7, 16],\n [-10, 16, -15, -20, 22, 23, -18, 17, -17, 25],\n [-12, -2, -18, 7, 3, -24, -8, -3, 20, 5]]\nB =\n[[-4, 18, 19, -6, 12, 19, -10, 25, -3, 21],\n [-1, 11, -7, -7, 12, 10, -24, -19, -6, -22],\n [0, -15, -9, 11, 17, -11, -14, 14, 24, -9],\n [15, -10, 22, -10, 9, -23, 19, 18, 2, -17],\n [-15, 1, -16, -14, 9, 19, 9, 5, 18, -9],\n [23, 21, -8, 11, -20, 24, -9, -23, 12, 7],\n [20, 18, -6, 15, 13, -10, 10, -19, -24, 14],\n [8, -22, 23, -9, -19, -14, -14, -16, 18, -1],\n [23, -21, -9, 12, 24, -15, 19, -4, -6, 25],\n [6, -3, -3, -24, 19, -23, 7, -21, -3, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -2, 4, 25, 4, -18, 20, 23, 10, 3],\n [-5, -10, -3, 3, 11, 0, 19, -2, 14, 0],\n [19, 1, -15, 25, 1, 20, -4, -25, 12, 1],\n [-25, -11, -15, 12, 3, 4, -3, 16, 0, 11],\n [25, -8, -11, 14, -4, -24, -23, 0, 3, 3],\n [12, 24, -3, 13, -3, 2, 22, 9, -24, 17],\n [2, -2, -23, -16, 8, -7, -25, 12, 11, -22],\n [-19, -23, -12, -10, 2, 2, -20, 2, -8, -8],\n [17, -11, -12, -4, -12, -7, 4, -7, 13, 7],\n [12, 6, -12, 8, -3, 8, -7, -1, 0, -4]]\nB =\n[[-15, 24, 5, 15, -21, 18, 5, -23, -6, -11, 5],\n [-21, -12, -4, 21, -7, 16, 16, 16, -19, -21, -2],\n [-12, -8, 22, -11, 2, 7, 10, 21, 25, -5, -9],\n [-24, -25, -13, -10, 11, -11, 13, 18, -6, 24, -12],\n [-23, -11, 18, 23, -20, -17, 17, 19, -25, 12, 19],\n [13, 5, 10, 11, 0, 8, -4, 10, 20, -9, -16],\n [23, 0, -16, -15, 5, -8, 2, 9, 23, -7, -13],\n [-6, 10, -20, 18, -13, 7, 25, 24, 19, 24, -6],\n [21, 17, -3, -16, 16, -12, 24, 22, -22, -12, 25],\n [15, 16, 5, 2, 5, 4, -20, 14, 19, -19, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52491", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[16, 0, -14, -12, 15, 17, 4, -17, -12, -6],\n [-22, -1, -23, 11, 2, -16, -16, 18, -6, -10],\n [-21, -18, -13, -4, -18, 3, 6, 18, -2, -4],\n [-7, -1, -15, 22, -2, -6, 23, 13, 19, -5],\n [3, -17, 1, -18, 8, 21, 16, 8, -17, -11],\n [-10, 4, 11, 10, -19, -23, 6, 24, 23, 8],\n [19, 14, 9, 11, -20, 10, -16, -13, 13, 15],\n [25, -21, 11, 12, 3, -16, 7, 5, 21, 6],\n [-13, 10, 3, 19, -3, 2, 15, 5, 21, -25],\n [4, -22, 12, -18, -4, -14, -14, -7, 10, 25],\n [-13, -12, 7, -22, -21, 16, 17, 11, 5, 24]]\nB =\n[[17, -16, -1, -6, -6, -17, -14, 18, -13, 17, 7],\n [-24, -3, -10, 22, 15, -4, -22, -1, -22, -23, 24],\n [18, 13, 19, 20, -4, 10, 23, -1, -11, 7, -13],\n [-7, -7, -19, 23, -20, 2, 5, -25, -14, -13, -12],\n [-12, 18, -14, 5, -19, 10, -9, -18, -12, -16, -4],\n [11, -10, -20, 22, -2, 24, 21, 3, 12, -17, 23],\n [22, -24, 9, -21, -10, 25, -18, -4, -11, 2, 3],\n [6, 19, -10, 7, -7, 10, 13, 24, -22, 9, -12],\n [13, -1, -19, -6, 24, 13, -18, 4, -6, 13, -6],\n [2, -20, -17, -6, -3, -3, -17, 13, 8, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 7) of the result:\nA =\n[[21, -8, -18, -5, 4, 23, -18, 23, 17, 3],\n [-9, -18, 17, -4, -9, -22, -6, 3, 20, -12],\n [5, 5, -23, 5, -4, 1, 16, 6, -2, 5],\n [6, 13, 22, -23, 13, 1, 7, 4, -13, -6],\n [-18, -18, 9, -14, -5, -13, 4, 4, 23, 20],\n [-24, -7, 1, -19, 24, 1, -16, 15, -14, -9],\n [-18, -13, -5, -17, 11, -12, 18, -4, -17, -20],\n [3, 18, -10, 8, 18, 3, -5, -24, -18, 10],\n [-23, 23, 23, 15, 11, 2, 24, -12, -3, 22],\n [-24, 14, -5, 3, 7, 17, 20, 22, -1, -21]]\nB =\n[[4, 14, 16, 2, 23, 25, -2, -9, -25, 16, -11],\n [22, 12, -24, -25, -18, 10, -15, 16, 15, 18, 20],\n [11, -23, -15, -16, -14, -22, -25, 14, 13, -10, 9],\n [-1, 2, 17, -19, -10, -9, 3, -15, -8, -14, -6],\n [-15, -25, 2, 20, -8, -23, -12, 13, -1, 9, 4],\n [14, -6, 5, 13, -15, -24, 13, 2, 13, -23, -6],\n [-16, 2, 23, -20, 19, 19, 10, -23, -5, -3, -6],\n [-20, -17, 15, -15, 17, -22, -20, 24, -20, 17, -9],\n [6, -2, -15, 17, 0, -8, 4, 17, 6, -19, -21],\n [-20, -12, -6, -7, 7, 13, 20, -14, -7, 23, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[24, 18, -11, -17, 15, -9, -18, -23, -12, -15],\n [22, -14, 25, -22, 24, -9, 25, 3, 20, -3],\n [-11, -14, 22, 7, -13, 5, -16, 9, 12, -3],\n [21, -13, 24, 5, 24, 13, -14, -3, 0, 5],\n [1, -7, 23, -13, 4, -25, -23, -18, 0, -17],\n [4, 17, -12, -9, -19, 14, -24, -5, -18, 12],\n [-20, -8, 13, -24, -24, -23, 3, 23, -19, 21],\n [4, 9, -9, 21, -9, -9, 24, 7, 16, 22],\n [9, -19, 25, 13, 11, -6, 12, 0, -21, 13],\n [3, -12, 3, 19, 13, 12, -11, 16, -24, -22]]\nB =\n[[-6, 12, 25, -8, 16, -20, 20, 21, -4, -14, -20],\n [-12, -8, -3, -6, -7, -21, 6, 0, 23, 16, 14],\n [5, -6, 19, -14, 15, 24, 20, -16, 16, -24, -10],\n [19, 21, 15, 18, 24, -19, -7, -5, -1, 25, 25],\n [-14, -8, -25, 15, -11, -11, -21, -9, 9, 3, -20],\n [3, 0, -15, 17, -25, -10, 3, -14, -11, 20, 11],\n [-16, -9, -11, 24, -1, -18, -4, -19, -17, -23, -17],\n [-15, 24, -19, -18, -15, 17, 9, 23, 23, -2, -12],\n [-19, 14, 25, 10, 8, -16, 11, -23, 7, 12, -10],\n [24, 14, -24, 16, -25, -21, 14, -10, 20, -16, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3955", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 4) of the product of the following matrices:\nA =\n[[-12, -15, 25, 1, -25, -1, 8, -4, 10, 1, 20],\n [-5, 5, 3, -20, 1, -10, -18, 5, -16, -19, 25],\n [14, -10, 9, -4, -5, 0, 22, -16, -18, 19, -2],\n [-22, -19, -22, 15, -10, 18, -13, 9, 24, -23, 6],\n [-23, 6, 5, 14, 12, -23, 20, 13, 1, -10, -22],\n [24, 13, 20, 16, 23, -4, 18, 6, -18, 20, 0],\n [-14, -19, 11, -3, -24, -23, -21, -9, -15, -8, 23],\n [-2, -6, -12, -4, -4, 0, -9, -1, -10, 13, 4],\n [-5, 4, 9, -5, -18, 17, 3, 5, 15, 14, -7],\n [-6, 21, -2, -6, -8, 14, -25, -19, -1, 0, 16]]\nB =\n[[-15, 7, 15, -17, 18, 12, 9, 21, -12, -11],\n [6, -5, 18, 15, -22, 21, -25, -11, 4, 24],\n [9, 0, -24, 22, -20, -23, -2, -20, 8, -23],\n [11, -4, 12, -4, 22, -24, -20, 12, -22, -20],\n [8, 5, 15, 10, -20, 14, -10, -24, -16, -8],\n [4, 7, -22, 13, -22, 1, 10, -1, -11, -16],\n [-20, -21, -14, 17, 1, 25, -11, -12, -23, -16],\n [-2, 16, -6, -24, -12, -16, 24, 15, -5, -21],\n [-6, 22, -4, 24, -18, -18, -10, -14, 1, 3],\n [5, 12, 15, -16, 5, 0, -16, 21, 25, -1],\n [23, -16, 10, -11, 16, 9, -5, 1, -10, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "548", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -14, 14, -2, 16, -17, 17, 3, 16, -15, 4],\n [-20, 14, 1, 25, -16, -12, -3, -24, -21, -8, 15],\n [14, -25, -22, 21, 19, -20, -25, -20, 6, 17, 12],\n [21, -12, 3, -21, 20, -25, 5, -20, 10, 7, 1],\n [-16, 1, -25, 3, -8, -12, -1, -20, 6, -24, -2],\n [5, 10, -10, -9, 0, -25, -2, 2, 7, 12, 16],\n [24, -15, 10, -11, 21, -20, -16, -16, 23, -18, 3],\n [19, -14, 25, 12, -13, -13, 21, -10, -6, -8, -24],\n [-9, 13, -11, -25, 11, -21, -14, -14, -17, -10, 15],\n [23, -4, -12, 25, 5, 23, -20, 22, -23, 15, -10]]\nB =\n[[0, 12, 6, -1, -20, 25, 21, -14, 8, 7, 11],\n [-13, -19, 10, 1, 6, -6, 9, -13, -8, -7, -17],\n [-15, -13, -14, 0, 3, -9, -19, -7, -20, -15, 16],\n [-18, 14, 14, 14, -10, -12, 4, 9, 14, -24, 12],\n [-22, 22, 1, 17, -12, 24, -21, -7, -5, 15, 22],\n [9, 6, -25, 25, 15, 23, -15, -16, -9, 13, 12],\n [9, 5, -22, -17, 2, 0, 0, -14, 10, 1, 24],\n [17, -10, 0, -21, 24, 7, -9, -17, -10, 18, -12],\n [-15, 15, 10, 22, -23, -6, 5, 21, -22, 5, 17],\n [17, -8, -24, 22, -12, 12, -1, -12, -20, -1, 24],\n [14, 4, -3, 9, 18, 24, -2, 7, -17, 22, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9280", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 19, 13, 3, -16, 19, 25, 20, 1, -13, -12],\n [20, 12, 21, 6, 5, 6, 0, 25, 10, 14, 14],\n [-5, -13, -10, 21, 4, -10, 0, 5, 17, -4, 17],\n [6, 18, 6, -8, 10, 0, 5, 14, -25, -17, 8],\n [-13, 24, 23, -18, -11, -14, 20, -7, 22, -11, -1],\n [1, -8, -21, 19, 18, 13, -22, 16, -8, 22, -17],\n [3, 4, -21, -10, -1, 5, 0, 1, 1, 12, 4],\n [14, -13, 6, 3, 10, 15, 6, -15, 14, 18, 3],\n [8, -6, -11, -3, 8, 2, 1, 20, -4, -18, 3],\n [-7, 22, 6, -25, -23, 0, 24, -19, 0, 1, -7],\n [-22, 18, 1, 11, -12, -18, -25, -18, 12, 3, 8]]\nB =\n[[-19, -21, -6, -4, -22, -25, 6, 16, -7, 15, -3],\n [-8, -20, -11, -14, 3, 20, -2, -13, 13, 4, -17],\n [-24, -16, -15, -12, -19, -2, -20, -18, 15, -1, 24],\n [-21, -1, 23, -22, -23, -19, 17, 18, -4, -2, -8],\n [-9, -18, -11, 6, 16, 16, 14, -18, 2, -5, 17],\n [-22, 9, 19, -21, -6, -17, 21, -16, 4, 20, -24],\n [23, -25, -13, -2, -8, 17, 7, -21, 11, -24, 12],\n [9, -9, 7, -17, 5, -19, -10, 4, -18, 21, -2],\n [-11, -13, -11, 9, 17, -16, -23, 7, 2, 1, -5],\n [-11, -18, -19, 4, -7, -12, 4, -10, -2, -7, -7],\n [-6, -14, 20, 2, 24, 13, -7, -13, -2, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4236", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 1, 23, 16, -7, -3, 25, 15, 13, 3],\n [14, 11, -6, 0, -11, -14, -9, -21, 18, -1],\n [15, -14, 13, -23, 9, -3, -11, 21, -8, -24],\n [-1, 24, 14, -21, -11, 19, 0, 23, 25, -3],\n [-23, 23, -8, -18, 7, 18, 24, 5, -24, 23],\n [-7, -24, 14, -22, -10, 13, 14, 10, -14, 11],\n [-11, 1, -21, 21, -17, -3, -3, -19, 24, -8],\n [-7, 4, 20, 25, 20, -7, -5, -17, 16, 5],\n [-21, 4, 1, -5, 3, 9, 7, -9, 9, 15],\n [-9, -15, 13, 22, 5, 19, 5, -19, 3, 16],\n [12, -6, 17, -23, 17, 24, -17, 7, 9, 0]]\nB =\n[[20, -23, -3, 15, 17, -5, 19, 17, 9, 8, -5],\n [10, -23, -20, 10, 17, 12, 20, 19, 8, -20, 17],\n [21, -23, -23, 10, -7, -10, -16, 7, -25, -18, 3],\n [18, 8, 11, -15, 25, -15, 14, 24, -3, 10, 19],\n [10, 6, 21, -17, 10, 3, 12, -15, 10, -22, 8],\n [17, -24, -5, 0, -16, -15, -25, 0, -12, -5, 14],\n [18, -23, -5, -21, 16, 24, 14, -10, 9, 20, -24],\n [-15, -19, -22, 12, 14, -18, 2, 9, -16, -22, 20],\n [9, 3, -13, -9, -7, 25, -16, 1, -15, -11, -22],\n [-7, -2, 15, 3, -22, -21, 2, -21, 6, 12, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20345", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -13, 1, 16, -8, 12, 4, 7, 20, 16],\n [7, 23, -8, -5, 19, 19, -8, 6, 12, 7],\n [-10, -17, 15, 2, 1, -15, 6, 3, -18, -20],\n [16, -23, 13, 18, -19, -19, -23, -18, 0, 5],\n [1, 22, 12, -25, 7, -9, 6, 15, 15, 11],\n [-5, -5, 2, -20, 10, -21, 14, 9, 8, -17],\n [9, -16, 3, 22, -12, -20, -4, -10, -7, 15],\n [-15, 4, -21, 22, 10, -19, -13, -11, -22, 9],\n [24, -21, -13, 7, -6, 25, 21, -18, 21, -9],\n [-21, 5, -18, -24, -25, 0, -19, -14, -12, -3],\n [-1, -1, -11, 10, 14, -4, -15, 0, -1, 15]]\nB =\n[[-2, -6, -20, -1, -11, -12, -1, -21, 7, -9, 22],\n [7, -5, 5, -15, 0, 7, 16, -13, 4, 15, 7],\n [-3, -16, -20, 8, 12, 4, 7, 20, -5, -19, 16],\n [-16, 24, -19, -17, -20, -22, 5, 24, 0, -17, -25],\n [12, -13, 4, -5, -22, -18, -10, -17, 19, -12, -17],\n [6, 10, 2, -10, -14, 6, 21, -9, -16, 24, 17],\n [-21, 3, -1, 11, 1, 17, -18, 19, -4, 7, -18],\n [-19, 5, -25, 24, 11, 23, 18, 20, -23, 2, 25],\n [-16, 8, -4, -21, 7, 23, -5, 9, 6, -3, -2],\n [-3, 8, 8, -25, -1, 7, 5, 22, -13, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62980", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, -5, 25, 8, -22, 17, 16, 24, 17, -19, 4],\n [19, 9, -8, 9, 5, -25, 22, 13, -15, -21, 9],\n [1, -24, 23, 4, -15, 23, 21, -4, -7, -7, -20],\n [15, 3, 6, 11, 15, 11, 25, -4, -19, 3, 14],\n [14, 1, -16, -22, 17, 17, 19, -6, 18, 0, -18],\n [20, 19, 19, 10, 12, -20, 4, 6, -16, 9, 16],\n [1, -1, 24, 3, -12, 11, -19, 21, 10, -22, 19],\n [24, -20, 23, -6, 20, 1, 12, -19, -3, 15, -10],\n [-25, 5, 18, -7, 5, 10, 1, -12, 10, 3, 17],\n [-2, 4, 8, 8, -19, 15, 16, 17, 6, 9, -24]]\nB =\n[[13, 5, 12, 0, -10, 11, 14, -24, 11, 13],\n [-18, -15, -18, 0, -7, 2, -22, -15, 8, -15],\n [-24, -19, -15, 23, 2, -20, 11, -7, 10, 17],\n [6, 19, 9, 1, -2, 23, -3, -14, -16, 12],\n [-19, 16, -19, 17, -12, -8, 11, -5, 10, 15],\n [-9, -12, 12, 25, -13, -18, -19, 24, -14, 14],\n [20, 7, -24, -9, 19, 3, -5, -15, 6, -8],\n [6, 21, -1, 9, 23, -15, 10, -15, 4, 23],\n [-18, -19, -15, -16, -7, 12, -18, -21, -13, -8],\n [3, -21, -8, 18, 23, 19, 11, 22, 13, 3],\n [4, -1, -6, 20, -1, 17, 7, -17, 20, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55721", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-22, 8, -20, -13, -10, 25, -15, -13, -20, -12],\n [23, 6, -6, 15, 3, 12, -1, 24, -14, 2],\n [-3, 18, 4, 1, -2, 3, -10, -22, 25, -3],\n [10, 21, -6, -25, -3, -2, -17, -14, 7, -23],\n [-9, -24, 6, 21, -23, -21, -3, 21, -17, -5],\n [-12, 13, 22, -5, 2, -12, 9, 13, 14, 21],\n [-24, -3, 10, 10, -15, -25, -13, 10, -3, -14],\n [25, -20, -12, -4, 11, 5, -2, -20, -22, 14],\n [13, 8, -5, 3, 8, 0, 15, -20, 1, 12],\n [-13, -2, -8, -14, -25, 12, 3, -12, -17, 11]]\nB =\n[[10, 17, -10, 12, -14, -20, -15, -5, -7, 9],\n [-20, -4, -2, 3, -3, 2, -7, 23, 19, -20],\n [-5, -1, -21, 14, -6, 25, 18, -3, -23, 13],\n [14, -14, 10, -7, -24, -5, 3, -12, -7, -19],\n [-1, 24, 11, 11, -19, -3, -21, -5, -2, 22],\n [-22, 21, -15, -14, -2, 13, 17, -25, 2, -24],\n [-4, -3, 23, 15, 19, 13, 25, 3, -2, -3],\n [10, 23, -18, 25, 19, -25, -23, 24, 23, -7],\n [-20, 25, -22, -4, 11, 4, -12, 18, -5, -25],\n [-24, -7, -24, 4, -19, -1, -23, -18, 25, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3744", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -10, -22, -25, 0, 7, -21, 2, 13, 12, -15],\n [10, 17, -12, -3, 3, -21, 5, -3, -25, 21, -12],\n [-23, 22, -25, -2, -5, -12, -17, 4, 15, -18, 0],\n [17, 11, -22, 6, -15, -18, -21, -15, 4, -13, -1],\n [-4, 2, 4, -18, -13, -10, -25, -7, 14, 23, 0],\n [-7, -16, -5, 22, 7, 17, -25, 15, -5, -6, -7],\n [-5, 9, -6, 16, 9, -4, 8, 16, 12, 20, 20],\n [3, -6, 0, 5, -21, 12, 15, -22, 5, 12, 12],\n [4, -17, 10, 8, -1, -6, 21, 1, 8, 20, -7],\n [18, 2, 15, -4, 13, 17, -21, 10, -9, 2, 18],\n [3, -13, 11, 3, 12, 20, -23, 21, 11, 11, -10]]\nB =\n[[-1, -8, -9, -15, -23, 11, 5, 6, -2, 21],\n [-1, 23, -15, -2, 2, 20, 18, 5, -18, 3],\n [-8, -15, 2, 18, -24, -21, -17, 23, 11, -4],\n [-5, 13, 8, 24, -3, 11, -23, 17, 9, 9],\n [16, 13, -3, 10, -20, -13, 21, 18, 23, 21],\n [9, -19, 20, -24, 2, -17, 17, 18, 4, -19],\n [12, -8, 6, 9, -7, -14, 25, 12, 17, -14],\n [-24, 16, -13, -9, -10, -6, -23, 17, 25, -17],\n [-18, -25, 24, -3, -11, -8, 7, 21, -8, 19],\n [-25, 19, 19, 6, -10, 5, 1, 22, -21, -6],\n [-13, 25, -13, 13, -21, 12, 7, -6, -1, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3221", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[19, -7, -4, 10, -3, 21, -4, 7, 3, -13, 17],\n [1, -22, 2, -15, 14, 5, -23, -3, -5, -16, -4],\n [-15, -21, -12, -22, -7, 18, -1, 4, 13, -1, -2],\n [-16, -6, -4, -1, -2, 7, 6, 11, 19, -12, 13],\n [-22, -21, -2, 13, -7, 14, 17, -11, -18, -5, 1],\n [-9, -21, 2, 24, 5, -16, 23, -16, 24, -24, 5],\n [14, -22, -16, 24, -14, -3, 6, 0, 2, -6, -21],\n [9, 24, -16, -17, -25, 7, -10, -24, 13, -17, -16],\n [1, 10, -11, 5, 16, 0, -6, -14, 13, 12, 21],\n [3, 25, -10, 0, -8, 5, 6, -3, -11, -2, -5],\n [-25, -5, -12, -8, 3, 9, -1, -23, -25, -1, 4]]\nB =\n[[-19, -13, 14, -8, 21, 17, 17, 17, 3, -6, 16],\n [23, 4, -17, -21, 2, 0, -20, -3, -14, -20, 1],\n [3, 15, -15, -16, 13, 9, -12, -7, 9, 1, -5],\n [-5, -6, 11, 20, 21, 7, -12, 23, 13, 24, 10],\n [8, -13, -4, 10, 4, 8, -18, -13, 10, 15, 0],\n [-17, -3, 15, -11, -25, -7, -25, 11, -20, -25, -7],\n [-24, -4, -18, -24, -10, -11, 12, -24, -24, -9, -10],\n [-2, -21, -2, 21, 0, 4, 7, -12, 25, 16, -4],\n [-7, 15, 17, 0, 9, -14, -24, 12, -22, 18, 24],\n [-6, 21, -1, -5, -19, 16, 24, 18, 13, -7, 23],\n [-13, -10, 6, -2, -16, 16, -2, 8, -8, 19, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3573", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[13, -11, -22, -5, 6, -1, -24, -17, 8, -10],\n [6, 21, -18, -3, 19, 3, 22, 13, -7, 25],\n [-11, -14, -6, -22, 6, -6, 0, 23, 12, -5],\n [-18, 8, -19, 10, -19, -17, -25, -15, -8, -19],\n [-24, -21, 22, 5, 14, 2, -6, 10, -20, -24],\n [21, -20, -11, -24, 12, 21, 7, 6, 10, -22],\n [-23, -9, -11, 13, -14, -19, -24, -22, 11, -2],\n [-7, 21, -24, 6, 7, 2, 17, 11, -24, -4],\n [-12, 21, -8, 8, 8, 10, 25, -15, 15, 14],\n [10, -10, -1, 15, 6, 4, 16, -4, 2, 11],\n [18, 13, -4, -18, -19, 21, -16, 18, 14, 8]]\nB =\n[[-19, -2, -14, 21, -24, -18, 15, -8, 5, 17, -6],\n [-6, -14, 23, -20, -23, 4, -2, 22, -12, 23, 3],\n [3, -16, 16, 15, 13, 7, -18, 16, -13, 16, 2],\n [22, -15, -9, -10, -2, 7, 23, 16, -13, -24, 24],\n [0, 3, -14, -23, -8, 14, 24, 4, 13, 16, 9],\n [23, -17, 20, -17, 16, 15, 24, 23, -6, 22, -9],\n [22, -14, -24, 5, -11, -19, 8, 14, 22, -5, -13],\n [23, 25, 16, -24, -18, -6, -7, -1, 23, 4, -6],\n [5, 24, -9, -3, 23, 11, -23, 25, -4, -15, -23],\n [19, 23, 14, 1, -25, -19, -21, 10, -6, 24, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2177", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, 16, 15, -7, -1, -19, -9, 14, 7, 7],\n [20, 2, -9, 22, 5, -14, 0, 25, -23, -24],\n [-10, -14, -12, -17, -12, -23, 24, -21, -17, -12],\n [18, 13, 22, 23, -18, -16, 1, -12, 17, -19],\n [-21, 8, 6, 6, 4, -7, -14, -9, 23, -15],\n [1, -4, -1, 19, 11, -15, 18, 10, -2, 22],\n [11, 16, -7, 1, 17, -24, -8, 7, -24, 4],\n [-16, 7, -21, 20, 15, 9, -2, -8, -14, 25],\n [-18, -25, 5, 0, 9, -9, 3, 1, -6, 14],\n [21, 25, 2, 17, 20, -14, -12, -21, -2, 5],\n [6, -9, -1, -18, 23, 19, 17, -4, -23, 17]]\nB =\n[[5, 21, 12, 7, 18, -13, 23, 7, 24, 24, 3],\n [-16, -15, 22, -24, -13, -11, 20, 16, 24, -17, 18],\n [-7, 10, 12, -18, 2, 10, -8, 8, 22, -8, -9],\n [21, -18, -7, 8, -14, 24, 18, -3, 0, 11, -18],\n [-25, 13, 17, 18, -16, -23, -3, -1, 7, 12, 1],\n [-18, -3, 14, 0, 25, -19, 25, -3, 15, 11, -24],\n [-22, 16, -25, -4, -9, -21, -3, 0, 11, -21, 20],\n [12, -17, -12, 6, 25, 16, 22, -24, -22, -23, 18],\n [16, 11, 23, -3, 1, -19, -24, -22, -16, -2, 25],\n [2, -10, -13, -7, -7, 18, 0, 14, -5, 21, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, -11, -18, -17, 12, 20, 25, -19, -23, 19, 23],\n [23, -18, -3, 21, -4, -6, -23, -4, 23, 22, 12],\n [12, -7, 3, -9, -14, -14, -12, 22, 16, 20, -8],\n [-3, 18, 5, -13, -25, -7, 0, -2, -22, 3, 8],\n [-10, -21, -9, -10, -1, 5, -5, -21, -12, 4, 0],\n [-2, 10, 9, 25, -5, -21, 2, -8, -11, 9, -9],\n [-25, 5, 14, 18, -12, -14, -21, -16, 12, -9, 23],\n [16, 3, 22, -5, 21, 19, -24, -11, -4, -14, 0],\n [-21, 3, -25, 6, -15, 8, -9, 1, -11, -13, -12],\n [16, 17, 18, -8, 7, 11, 3, 5, -8, -16, 6]]\nB =\n[[-9, -25, -21, -23, 3, 19, 12, 4, 15, -18],\n [24, 9, -23, -17, -25, 7, -22, 4, 5, -11],\n [12, -20, 16, 9, 8, 1, 16, -13, 15, -4],\n [14, 3, 11, 17, 19, -14, 15, -21, -21, 24],\n [0, 0, -16, 23, -23, -19, -20, -24, -11, 6],\n [-24, 5, 17, -25, -15, -8, 13, -25, -1, 8],\n [-23, 13, 15, 21, 5, 24, 8, -7, 22, 4],\n [2, 16, 9, 10, -18, -25, 9, -14, 4, -17],\n [-7, 3, -20, 15, -2, 17, 21, -4, 6, -22],\n [-18, -12, -13, 5, 13, -7, -1, 2, -13, 18],\n [-2, 14, 20, -11, -5, -2, -11, -21, 13, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[-18, -14, -12, -25, -6, -21, 2, 2, 23, 0],\n [-8, -3, 16, -8, 17, -18, 25, -2, -4, 24],\n [-6, 6, 11, 23, 4, 22, -5, -11, -1, -19],\n [6, -3, 25, 21, 16, 17, 1, -21, -5, -3],\n [24, 12, -5, 7, -17, -1, 12, -1, 19, 20],\n [-7, 12, -25, 22, 8, -22, 25, -9, 22, -13],\n [-11, -23, -21, -16, -8, -18, -10, -18, -19, -22],\n [-2, -6, 4, 6, -1, -8, 5, 23, 22, -1],\n [-24, 8, 21, -23, -5, 5, -6, 22, -24, 22],\n [4, 14, -10, 19, 12, 2, -9, 13, -7, -19]]\nB =\n[[-8, 20, 12, 0, 14, 2, 21, -19, 24, 13],\n [0, 16, 17, 9, -18, 19, -22, -9, -5, 1],\n [13, -4, -3, 20, -23, 5, 18, -18, -12, 1],\n [23, -1, -25, 10, -2, 16, 0, 17, 5, 1],\n [17, 2, 5, -15, 4, -13, -14, 4, -17, 17],\n [22, 23, 13, -22, -13, -9, 18, -25, 18, -10],\n [-16, -24, -15, -23, -18, -10, 21, -17, 20, 20],\n [1, 25, -4, 1, 12, 24, -20, 18, -5, 8],\n [-19, -16, 21, -10, 8, 2, 8, -19, -17, 0],\n [-8, -16, 24, 14, 3, -12, -12, 12, -18, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-421", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -7, 13, 10, 23, -8, 5, 18, -12, 19, 14],\n [-2, 21, 3, 8, -21, 5, -19, 24, 25, 21, -4],\n [-9, -25, 6, -23, 2, 17, 16, -11, 13, 14, -4],\n [-7, 24, 2, -8, 19, -15, -13, 13, 2, -24, 19],\n [9, 4, 2, 13, 7, 5, 5, -16, 18, -8, 5],\n [-25, 0, 23, -11, -19, 21, -6, 23, -5, 14, -14],\n [-4, -17, -13, 9, -15, -12, 5, -23, 17, 10, 22],\n [-3, -4, -11, 20, 5, 19, -12, 4, 22, 19, -2],\n [-7, -19, 19, 21, -8, 24, 24, -15, -1, 13, 4],\n [-14, 22, -5, -16, 8, -1, 19, -3, -15, 7, 11],\n [-5, 6, -4, -9, 18, 10, 2, 17, 23, 21, 18]]\nB =\n[[21, -9, -12, 1, -19, 5, 21, -14, -24, 21, -4],\n [-18, -10, -1, -23, 4, 24, 19, 24, -7, 3, -21],\n [-6, 7, -25, 6, 3, 12, -3, -16, -14, 9, 21],\n [-17, -15, -15, 12, -22, -7, -5, -20, -3, 18, 13],\n [-19, 19, 10, 13, -11, -17, 21, -4, -15, 9, -9],\n [-17, 8, 20, -7, 14, 4, -4, 0, 4, -14, 10],\n [-19, 15, -24, -5, 1, 24, -25, -12, 23, -24, -3],\n [0, -1, -11, 3, 2, 13, 22, -22, 4, 21, -16],\n [16, -16, -4, -10, 13, 14, 25, 17, -13, 13, 4],\n [-13, 16, 0, 5, 13, 1, -22, 22, -14, 9, 13],\n [-25, -10, -4, 19, 10, 8, -4, -12, -23, 12, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5457", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 8) of the product of the following matrices:\nA =\n[[-24, 18, 14, -17, 16, 9, 23, 16, 1, -6],\n [-5, -20, 3, -4, 9, 11, -3, 3, 14, 1],\n [-11, 9, 24, 1, -14, 20, 15, -18, 25, 8],\n [-10, 10, 23, 25, 24, -9, -1, 20, 0, 21],\n [-9, 12, 12, 19, -14, -13, -20, -17, 20, -4],\n [-23, 0, 8, -22, -24, 10, -13, 11, -17, -18],\n [24, 7, 4, 7, -9, 9, -2, 19, 22, -4],\n [-22, 25, -17, -23, -10, 12, 22, -19, -6, 19],\n [-8, 6, -15, 4, -2, 1, 5, -20, 1, -11],\n [-13, -19, 13, 6, 25, -6, -14, 21, -8, 20]]\nB =\n[[-12, -8, -5, 7, 21, 17, 4, -8, -23, 6],\n [-24, -15, -24, 5, 9, 3, 3, 7, -23, -25],\n [-14, 22, -21, 20, -12, 18, 21, 7, -19, 17],\n [11, 4, -8, 11, -8, 10, -16, 4, -12, -5],\n [-3, 21, -5, 6, 4, 6, 15, 15, -14, -8],\n [12, 21, -4, 19, 13, 18, -22, 14, -16, 3],\n [17, -10, 8, -7, -16, -14, -18, -11, 9, 6],\n [-1, -4, 16, 20, 18, -10, 15, -8, 24, 1],\n [25, -6, 19, -7, -9, 5, -18, 25, -25, 2],\n [17, 23, 0, -25, 3, 15, -1, 7, -16, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[11, -9, -12, -6, -10, -22, -8, 19, 13, -22, 0],\n [-13, -1, -5, -13, -5, -11, 5, -21, -5, -5, -17],\n [24, 19, -17, -17, -17, -12, -4, -22, 17, 4, -14],\n [11, 3, -10, -11, -18, -16, -11, 20, 7, -18, 15],\n [2, -13, -5, 15, -13, 7, -4, 16, -11, -4, -7],\n [20, -14, 22, -1, 0, -1, 1, 13, 3, 4, -5],\n [-3, -16, 5, -24, -15, 14, 13, -2, 24, -20, 2],\n [-14, 3, 8, 22, -8, 7, -16, -17, 12, 12, -4],\n [23, -13, -10, 10, 23, 5, 23, -25, -19, -4, 4],\n [-5, 21, 6, 21, -24, 3, -25, 16, 3, -5, -9]]\nB =\n[[-3, 24, -10, -21, 18, 22, 25, -13, -9, -16],\n [25, -6, 5, -1, -6, 12, 7, -21, -5, -16],\n [-6, 24, -1, 7, -12, 4, -20, -14, -6, -13],\n [9, 2, -22, -1, 24, -15, 24, 1, 13, -21],\n [-9, 10, 9, 3, -9, -5, -23, -22, -7, 24],\n [11, -13, -23, -19, -7, 11, -11, 23, 6, -7],\n [5, -11, 17, 22, -9, -9, -4, 21, 6, 9],\n [18, 19, 5, 25, -7, 6, -6, -17, -22, 21],\n [-17, -16, 22, 5, 10, 7, -3, 16, -13, 6],\n [-1, -2, 10, 0, 1, 10, 6, 1, -12, 20],\n [23, -11, 12, 8, 1, -1, 4, 7, 17, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-658", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-21, -12, 7, 23, -5, 7, 3, -17, 16, 1, 4],\n [-17, 6, 15, -3, -16, -3, 2, 3, 17, 17, 23],\n [0, 25, 7, 15, -7, -3, -22, 5, 2, -16, -18],\n [6, 8, -8, 7, -8, 4, -23, -4, 24, -10, -17],\n [7, -10, 2, 13, -7, 10, 11, 7, 15, -11, -1],\n [5, 18, 24, 16, -10, -17, -20, 24, 4, 14, 16],\n [-13, -25, 22, 16, -13, 9, 7, 20, 5, -8, -11],\n [12, -11, 20, -18, 17, 5, -12, -5, -19, 10, 21],\n [13, 0, 10, -11, 10, 16, 0, 18, 7, 21, 6],\n [-10, -25, -25, 19, -5, -11, 2, 9, -20, -19, 2]]\nB =\n[[24, -8, 11, 11, 5, -19, 12, 15, 15, 21],\n [2, 15, 12, -13, -14, 0, -11, -7, 17, 20],\n [8, 5, 24, 19, -9, 9, -9, 7, 8, -8],\n [8, 8, -1, -20, 16, 24, -22, 12, -4, -6],\n [-1, -16, -9, -10, 9, -25, -6, 3, -11, -8],\n [2, -10, -10, -15, -11, 24, -5, 22, 20, 5],\n [11, 6, -12, 12, -7, -3, 22, 11, -12, -20],\n [21, -14, 6, -20, 13, -19, -6, 23, -9, 7],\n [25, 19, 8, 21, 18, -13, 11, 11, -23, -22],\n [-13, -16, -5, -11, -7, -4, -18, 20, -23, -8],\n [-24, 7, 13, -25, -25, -9, -13, 7, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54800", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[6, -20, 25, 24, -23, 3, -15, 0, 10, -19, 24],\n [8, -19, -24, 9, -9, 10, 15, 1, 18, 0, -20],\n [-18, -10, -19, -18, -25, -9, 2, 14, -16, -4, 14],\n [6, 2, 7, 13, -8, -3, 14, 3, -4, 20, 16],\n [24, -12, 16, -9, -20, 13, 25, 16, -12, 3, 15],\n [23, -13, 10, 14, 4, 25, -4, -7, -24, 18, -6],\n [-3, -3, -3, 22, 19, -6, 2, 7, 2, -13, 21],\n [-23, 0, -22, 22, -8, -15, 14, -18, 23, 23, -22],\n [13, -9, -12, -5, -18, -21, 6, -9, -18, 12, 9],\n [24, -23, 15, 19, -6, -11, 17, 3, 8, 4, -10]]\nB =\n[[-9, -8, 18, 17, 0, -22, -13, -15, 20, 25, -2],\n [-4, 0, -7, 4, 25, -5, 6, 16, 9, 23, 5],\n [25, 17, 11, 8, -8, -16, 8, -8, 23, 12, -5],\n [25, -22, 0, -2, -24, 11, -5, -14, 2, 6, 24],\n [-21, -25, -4, 10, 5, -10, -20, 12, -4, 18, 19],\n [13, -10, 7, -16, -16, -3, 12, -17, -24, -19, -24],\n [-2, 18, -15, -13, -6, -10, 19, -15, -18, -21, 23],\n [-6, 17, -11, 20, -9, 16, 25, 6, -13, 17, -12],\n [-4, -17, 2, -4, -13, 8, -8, 0, 23, -22, 2],\n [-15, -9, -19, -18, -13, 24, -8, 9, -2, -12, -8],\n [16, 24, -22, -20, 17, 8, -1, 7, 19, -25, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-480", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[22, -9, 1, 11, 12, -6, 8, -23, -16, 8],\n [-3, -14, -7, 17, 6, 5, -24, 3, 13, -5],\n [-9, 9, -24, -8, -19, 2, 20, -21, 8, 1],\n [-7, 2, 8, -21, 11, 4, -2, 11, -7, -7],\n [-6, 25, 23, 6, -13, 2, 14, -7, -9, -2],\n [-10, 18, -9, -23, -8, -12, 17, -23, -1, 18],\n [-19, 13, -1, 24, -9, -14, -19, 2, 8, 23],\n [25, 1, 1, 9, 22, -21, -18, -12, 20, -9],\n [9, 21, -4, -14, -22, -14, 0, 8, 9, 3],\n [5, -24, 8, 1, -13, -13, 16, -6, 18, -23],\n [-9, -10, 12, -7, -23, 10, -18, 13, 3, -23]]\nB =\n[[7, -4, 22, 20, 7, -10, 11, 3, -10, -22, 12],\n [24, 24, 2, -21, -25, 18, -7, 20, 3, -20, -11],\n [22, -25, 6, -15, -8, -8, -12, 0, -17, -24, 3],\n [-9, 3, 23, -1, 4, -18, 8, -15, 6, 7, 22],\n [2, 13, -4, 23, -15, 8, -23, -14, -14, 6, 23],\n [16, -21, 19, -16, 14, -18, -18, -1, -12, 14, -5],\n [-20, 12, 15, 5, -4, 9, -7, 14, 13, -13, -4],\n [17, 21, -7, -5, -23, -16, 19, -21, -1, 20, 11],\n [-20, 3, -14, -25, -18, -24, -18, 17, -22, 23, -13],\n [3, 15, 15, 10, -11, -18, -19, -2, -9, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5213", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -9, 19, -14, -14, -24, 24, 18, 1, -8],\n [-18, 2, 9, -1, -12, 9, 10, 8, 20, -8],\n [15, -24, -4, 11, -23, 21, 12, 22, -23, -17],\n [-5, 13, -4, 2, -15, -13, 13, -9, 2, 6],\n [-22, -5, 17, 24, -6, -9, 4, 15, -17, 25],\n [-5, -20, 6, 8, -25, 7, 5, -6, -18, 20],\n [12, 20, 5, -16, 12, 4, 0, -15, -4, -12],\n [-5, -1, -3, 8, -8, -7, -16, -1, -3, -10],\n [7, 25, 5, 13, -11, -13, 4, 2, -20, 1],\n [15, -13, -10, -20, 25, 21, 14, 17, -17, -24],\n [-24, 11, 12, -3, -19, -21, -15, -1, -23, 8]]\nB =\n[[7, -5, 25, 8, 8, -7, 3, 1, -6, 16],\n [9, 16, 5, -14, 10, 17, 18, 24, -13, 15],\n [7, -12, -9, 14, -10, -15, 11, -14, 21, -14],\n [-15, -2, 5, 5, 0, 10, 19, -3, -10, -18],\n [0, 5, -6, 6, -3, 6, 3, -14, 11, -9],\n [4, -23, -25, -10, -23, 23, -22, 9, -25, -20],\n [17, 14, 4, -20, 11, 11, 24, -1, 16, 20],\n [-3, 21, -11, 1, -21, -24, 12, 5, 16, 14],\n [24, 4, 19, 13, -7, -22, 1, -17, 3, -19],\n [16, -21, 5, 13, 8, 15, -6, 3, -14, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5292", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 8) of the product matrix AB given:\nA =\n[[14, 12, 2, -15, -17, 5, -2, 12, -13, -4],\n [-2, -6, 16, -14, 11, 3, 11, 10, 14, -15],\n [-12, 4, -3, -10, 5, -5, -5, -5, 13, -2],\n [-9, 1, -9, 24, 12, -17, 6, 22, 14, 25],\n [-20, 22, -8, -4, 19, 11, 3, -2, 5, 16],\n [-24, -18, 24, 20, -20, 3, 10, -3, 14, 7],\n [-10, 10, 2, -2, 17, 23, -22, 22, -13, 18],\n [2, 4, -4, 5, -19, -13, 13, 3, 12, 2],\n [-9, -2, -12, -19, 24, -25, 23, -21, -15, 21],\n [-5, 2, -13, 10, 8, 5, -5, -19, 21, 4]]\nB =\n[[16, 5, 0, -3, 19, 5, 7, -2, -16, -22],\n [9, 9, -16, 21, -13, 21, 1, 20, -7, 8],\n [13, 18, 2, 6, 2, -6, -4, 0, -2, -24],\n [-23, -10, 14, 1, -10, -17, 6, -7, -8, -5],\n [-23, -2, 2, -5, -22, 21, -25, 1, -8, 11],\n [-6, 4, 22, 8, -21, -9, -6, 12, -9, -14],\n [5, -6, -15, 5, -2, 24, 0, 14, -11, -15],\n [2, 15, 9, 17, 15, 12, -14, 7, -10, -13],\n [25, -5, 22, -8, -12, -7, -18, 4, -14, -15],\n [-21, 22, 2, 25, 12, -17, 8, -21, -15, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-408", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 11) when matrix A is multiplied by matrix B?\nA =\n[[-4, -10, 14, -24, -5, -25, 0, -17, 14, 23],\n [19, 19, 24, -6, -19, 5, 13, -17, -13, -21],\n [1, -7, 16, 16, -11, -7, 3, 2, -12, 24],\n [24, -12, -11, -7, -10, 9, 10, 7, 13, 11],\n [23, -6, -2, 13, -1, 8, -16, -2, -9, 16],\n [16, 15, 21, -12, -10, 0, 15, 5, -25, -19],\n [5, 1, -22, -1, 15, 4, -24, 21, -8, 13],\n [18, -2, 3, 15, -10, 5, 2, 18, 17, 9],\n [24, -10, -3, -12, 25, 7, 16, -16, -15, -21],\n [-5, 2, -22, -18, 14, 4, 7, 19, 14, 17]]\nB =\n[[6, 9, 7, 11, -8, 16, 11, -8, 3, -17, -23],\n [6, -14, 20, 5, 7, -25, 6, 7, 21, -2, -25],\n [9, 4, -4, -14, 8, -16, 1, -22, 12, 14, -12],\n [4, 19, -22, 21, -25, 19, 4, 3, 24, -22, -12],\n [20, -21, 8, -12, -10, 22, -19, -17, -17, 13, -4],\n [18, -23, -10, -17, -12, 17, 9, 7, 0, -20, -7],\n [-8, -21, -5, 9, 14, 15, -8, -6, 9, 13, 25],\n [14, -23, -19, -17, -1, -6, -17, -17, -11, 4, -10],\n [10, -3, -8, -7, 4, -11, 24, 16, 5, -13, -21],\n [-1, -6, 6, 1, -9, 18, 23, -3, -22, -9, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 1) when matrix A is multiplied by matrix B?\nA =\n[[-22, 23, 17, -11, 20, 17, 22, 10, -21, 19, -14],\n [25, -25, 24, 8, -15, 18, -2, 2, 17, 5, 7],\n [6, -20, 11, 2, 9, -14, 14, 9, 12, 20, 20],\n [6, -3, 19, -18, 17, 23, 13, -12, 14, 18, -18],\n [-23, 9, 15, -1, -12, 2, -9, -14, -4, -14, 24],\n [-16, -23, 2, 5, -14, -24, -12, 15, 7, 15, -10],\n [18, -16, 20, -19, 19, 25, -9, -1, 4, 18, -23],\n [-24, 18, -1, 15, 23, -2, 9, 9, 25, 23, -19],\n [-24, 23, 16, -4, -4, 1, 19, 19, -15, -13, -8],\n [-21, 0, 9, 1, -19, -19, -17, -6, -15, -15, 1]]\nB =\n[[-9, 10, -23, 19, -23, 21, -14, -6, 0, 4],\n [18, -12, -16, 9, -17, -15, -19, -18, -3, -19],\n [2, 3, 25, 8, -16, -14, -8, 23, 20, -7],\n [21, 0, 21, 10, -19, 6, -3, -19, -10, -21],\n [20, 15, -9, -20, -1, 6, -25, 24, -19, -19],\n [-10, 23, -20, 5, 11, 9, -12, 8, 22, -11],\n [16, 12, -8, 12, 5, 12, 11, -22, 3, -13],\n [-16, 14, 8, 22, 11, 8, 17, -13, 6, 22],\n [-17, 8, 19, 6, -6, -25, 16, 22, -9, 10],\n [25, -15, 17, -17, -24, 1, -20, -25, 13, -8],\n [12, 25, -7, -25, 20, 6, -25, -12, -9, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-701", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[17, 13, -17, -15, -15, 0, -17, 9, -17, -18],\n [-21, -21, -11, 11, 0, 8, -13, 2, -12, -25],\n [-8, -23, -12, 1, -19, -10, 16, 17, 6, -21],\n [-24, -23, -19, -24, 9, -13, -20, -21, 17, -15],\n [-8, -7, 21, -21, -18, 1, 24, 16, -12, -23],\n [-22, 7, 14, 11, 8, 0, -14, -16, 17, 1],\n [11, -25, -6, -8, 21, -20, -19, -20, 3, -21],\n [15, 18, 21, 25, 22, -23, -6, -21, -18, -25],\n [12, 9, -22, -21, -17, -18, 10, 21, -2, -3],\n [-16, -8, 14, -15, -5, -15, 4, 4, 23, 14]]\nB =\n[[11, -6, -7, -18, 11, 17, -17, -1, 15, -22, 15],\n [-3, -1, -12, -11, 13, -5, 4, 0, 22, -3, 22],\n [10, 2, 12, -2, 23, -14, 21, 9, 25, -15, -21],\n [-24, 21, 16, 20, 8, -5, -13, -7, 7, -20, 19],\n [10, 20, -3, -3, 15, 18, -22, -24, 15, 19, 0],\n [3, -1, -20, -24, 9, -14, 1, -6, 22, 13, 17],\n [-2, -19, 0, -14, 24, -2, 7, -16, 6, 14, -2],\n [-1, 22, -5, -5, 20, -4, 15, -24, 18, 11, 2],\n [10, -25, 0, -19, -21, 0, -13, 15, 1, -9, -16],\n [-13, -3, -4, 8, -17, -16, -8, 9, 10, -15, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63028", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[21, 15, -16, -12, -9, 11, 25, -4, -24, -5, 21],\n [-5, -6, -6, 0, 19, 16, -1, -17, 15, 12, -11],\n [21, -13, 7, -16, -24, -16, 0, 13, 14, -14, 3],\n [22, -13, -2, 15, 5, -6, -15, 3, 15, -10, 10],\n [-4, 20, -18, -6, 13, -5, 18, 13, 16, 4, -15],\n [-2, -2, 13, 17, -6, -12, -3, 3, -11, -6, 0],\n [-14, -3, -7, 7, -1, -9, 6, -4, 8, 12, -14],\n [-25, -11, -8, 19, 11, -25, -24, 10, -10, 16, -1],\n [17, -6, 20, 23, -8, 7, 0, -11, 13, 16, 1],\n [-25, 15, -3, 0, 10, -24, 14, 19, -4, 24, -4]]\nB =\n[[12, 21, -2, 1, -18, -13, 11, -13, -17, 10],\n [3, -4, 25, -16, 15, 15, 21, 12, 13, -13],\n [10, 7, 15, 9, -5, -23, -22, 15, -16, 24],\n [-8, -23, -24, -1, -21, 25, 10, 24, -9, -5],\n [-14, 5, -15, -8, -16, 8, 12, 16, -16, -20],\n [-9, -19, -13, 18, 1, -23, 20, -21, -18, 2],\n [23, -15, -23, -2, -17, -11, 3, 25, -6, 8],\n [-14, 15, 1, 16, 20, -2, 25, 24, -12, 10],\n [-25, -19, -18, 3, -4, 19, -14, 1, 3, 23],\n [-19, 0, 4, -8, 25, -15, 12, -16, 1, 6],\n [-4, -13, 12, 19, 15, -12, -14, 1, -3, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52161", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 9) of the product of the following matrices:\nA =\n[[-24, 13, -10, -3, 1, -19, -10, 13, -15, -12, -19],\n [-1, -15, 19, 7, 6, 15, -6, -22, 11, 7, 18],\n [-4, 10, -25, 16, -19, -18, -18, 0, -2, 1, -6],\n [14, -23, -19, -15, 5, 13, 12, -8, -7, -3, 17],\n [0, -18, -11, 2, 20, -13, 14, -23, -3, -14, -4],\n [9, -23, 17, 7, 22, 1, 0, -22, -16, 18, 24],\n [4, 4, 17, 2, 22, -11, 11, -7, -3, -9, -22],\n [-7, -25, 10, 17, 21, 17, -5, -19, 0, -6, -24],\n [-1, 20, -20, 4, 11, 7, 11, 2, 4, 19, -16],\n [-11, -7, -14, 9, 5, -14, 14, -14, -4, 0, 20]]\nB =\n[[-19, 17, -23, 25, 10, 15, 18, 6, 21, -19, 21],\n [16, -10, 25, 10, 17, -3, 25, -13, 19, -18, 24],\n [10, -4, 5, 12, 21, -12, -21, 5, -17, -18, -14],\n [-21, 6, 8, 0, -14, 7, -17, -25, -11, 8, 9],\n [1, -18, -20, -4, 15, 18, 14, 10, 21, -13, -15],\n [-13, 19, -19, 19, 5, -22, 22, 10, -19, 12, 7],\n [-15, 2, -10, 19, -2, 23, -1, 0, -4, -10, 18],\n [-7, 23, -15, 20, -25, 5, 9, -12, 19, -16, -23],\n [2, -16, 16, 0, -4, 5, 6, 10, -19, -18, 21],\n [3, -18, -20, -1, 16, 11, 2, 6, 9, -13, -15],\n [-19, 22, 21, -16, 1, -20, -19, 18, -8, -13, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1064", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-12, -10, -8, 22, 18, 4, -13, 12, 23, -3],\n [-7, -18, -9, 10, -18, 8, 4, -20, 14, 17],\n [20, -23, -2, 2, -2, -14, 9, 10, -7, 22],\n [25, 11, 13, -8, -23, -17, 20, 25, 12, -4],\n [-5, -11, 22, -15, 1, 8, 4, 10, -20, -14],\n [-12, 10, -4, -11, 6, 17, 4, -3, -10, 13],\n [-14, -6, 20, 7, -12, 5, 11, 24, 4, 0],\n [11, -8, 9, 22, -16, 24, -8, -25, 19, -23],\n [19, 8, 16, -20, 0, -4, -6, 3, 14, 1],\n [-3, -24, -15, -9, 18, 11, 12, -7, 6, -8]]\nB =\n[[10, -15, -2, -12, 23, -15, 13, 4, -24, 9],\n [3, -8, 9, 1, 25, -21, -21, 25, -3, -4],\n [2, -1, -22, 20, 7, 1, -3, 12, -22, 11],\n [3, -25, 16, -23, -22, -8, 20, -19, -25, 3],\n [-13, 0, -2, 2, -20, -17, 11, 1, 11, 5],\n [18, -6, -5, 3, -2, 14, -22, -13, 10, 22],\n [19, -16, -5, 24, 19, 22, -10, 25, 21, 5],\n [-12, -8, -11, -25, 7, 23, 6, -15, 12, -10],\n [-22, 24, -12, 15, 9, 20, -18, 20, 22, 13],\n [22, 8, 21, -25, -14, 5, 22, 4, 13, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[15, -12, -5, -2, 17, -25, 10, 24, -15, -1, -13],\n [-10, 3, -7, 16, -11, -7, 5, -14, 7, -20, 12],\n [16, 25, -3, -10, 16, 10, -9, -8, -22, 3, 25],\n [-6, -23, 14, -12, 2, 22, 18, 16, -1, -24, 12],\n [-12, -20, 22, -2, 10, -9, 2, 20, 9, -24, 13],\n [-5, 15, -23, -19, -25, 23, 20, 9, 9, 23, -10],\n [-25, -24, -24, -23, 16, 9, 6, -10, 19, 23, -24],\n [11, 25, -14, -24, -2, -24, -24, 3, -24, -11, 16],\n [12, 25, 19, -5, -7, -10, -19, 3, -7, 7, -2],\n [25, 23, -7, -21, 11, -1, -23, 2, 0, -15, -15]]\nB =\n[[-19, 0, 21, -22, -7, 8, -16, -24, -19, 18],\n [9, 6, -11, -14, 21, 18, -13, 17, -18, 13],\n [-5, 1, -9, -15, -18, 6, -16, 9, 2, 6],\n [-22, 24, 1, 13, 17, -8, 6, -21, 11, 2],\n [13, -13, -4, 1, -17, 1, 25, -9, -14, -14],\n [9, 2, 4, 1, 17, 6, 12, 14, -20, 5],\n [-25, 17, -5, -14, -14, 11, 20, -4, 12, 25],\n [-10, -14, 13, 19, -12, -17, -24, 3, 9, -4],\n [-21, -21, 18, 24, -6, 7, 18, -21, -19, -21],\n [-25, -7, -17, -9, 13, -17, -10, -7, 21, -12],\n [10, 10, 18, -23, 0, 21, -15, 17, 2, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1599", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[17, -15, -14, 16, 1, -14, 7, -21, -5, 4],\n [7, -16, -25, 3, -19, 25, 7, -25, 5, 22],\n [7, -23, 5, -24, -8, 14, -8, -2, 6, -2],\n [-17, -14, 1, 13, -21, 9, 0, -16, -16, -23],\n [-13, -4, -5, 8, 0, -16, 18, -6, -9, -2],\n [7, 17, -10, 21, 11, 23, 8, 17, -18, -11],\n [-13, -1, 19, 23, 16, 2, 13, 10, 12, -16],\n [-10, -13, 4, -13, -1, 15, -9, -20, -5, -5],\n [2, -14, -18, 11, -7, 21, -8, -6, -14, -21],\n [-3, 17, -6, -17, -3, 12, -17, 14, 3, 11]]\nB =\n[[4, -13, 1, -9, 24, -22, -23, 19, 20, 18],\n [-7, -25, -18, -24, 9, -23, -9, 18, 25, 13],\n [5, -16, -16, -8, 13, -21, -20, 5, 10, -12],\n [7, 3, -7, -16, -3, 15, -18, -2, -20, 11],\n [1, 6, 17, 4, 21, -23, -16, -8, -13, -9],\n [-10, -5, -14, -10, -12, -16, -9, -7, -17, 20],\n [-20, 22, -8, 7, -21, 2, 17, -18, 8, 19],\n [-10, 15, -12, -9, 23, -21, 3, -7, 0, 3],\n [-15, 18, -1, 3, -8, 3, 13, 14, 15, 16],\n [4, -4, 6, 9, 25, 11, 3, 21, 21, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, 15, -4, 21, -23, 20, -13, -24, 18, 24, 22],\n [-17, 13, -25, 11, -9, -15, -15, -24, -18, -12, 20],\n [17, -22, -10, -19, 7, -1, -20, -18, 4, -19, 24],\n [-7, -23, -16, 5, 21, -13, 5, 17, -17, -7, 1],\n [8, 10, -7, -8, -25, 3, 25, 22, -14, 14, -20],\n [17, -7, 0, 12, -1, -9, -14, -6, 14, 2, -20],\n [22, -3, 5, -24, 7, -17, 0, -9, -9, 19, 4],\n [11, 22, 4, 20, -10, 25, -5, -8, 1, -21, -13],\n [0, -6, -21, -13, 14, 11, 22, 15, 19, 0, -11],\n [-17, -3, 19, -5, 25, 10, 8, -24, -8, 1, 24],\n [-25, -6, -3, 12, 24, 13, 2, 21, 3, 7, 23]]\nB =\n[[-21, 8, -18, 20, 9, -7, 16, -15, 4, 23, -25],\n [17, 21, -9, -16, -14, 10, 4, -18, 7, -13, 8],\n [-4, 17, -10, -16, 0, 14, -1, 11, -13, 15, 24],\n [25, -23, 3, -22, 21, 12, 15, -4, -12, -25, 10],\n [-2, -17, -7, 25, -18, -24, 4, 4, 18, -25, 1],\n [15, 12, 25, -25, 5, 10, -17, -23, 23, 17, -3],\n [-18, -12, 12, 19, -13, -14, 13, -15, -14, -12, -14],\n [13, -17, -3, -6, 22, 9, 1, 8, 10, -24, 20],\n [17, -11, -5, 9, 18, -13, 8, 24, -1, 16, 23],\n [14, -4, 3, -22, -10, 2, -4, -13, 12, -8, 15],\n [3, -5, 18, -13, 1, 19, 15, -21, -17, -10, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71856", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, -3, 6, -23, -14, 14, -18, 16, -9, -15],\n [15, 7, 10, 23, 1, 5, 19, -17, -7, -1],\n [-7, 12, 17, -16, 12, -17, -18, 14, -25, -5],\n [14, -22, 25, 19, -8, 20, 16, -12, -6, 22],\n [10, -24, 22, -11, -8, -1, 4, 9, -18, 4],\n [-1, -19, -9, 6, -1, 22, 2, 12, -18, -4],\n [12, -20, -14, 3, 4, 6, -18, 25, 23, 0],\n [23, -5, 10, -13, -20, -4, -10, -8, 6, -9],\n [23, 14, 12, -12, 14, 25, 14, 17, 18, -9],\n [-9, -10, -9, -4, 2, 20, -11, 13, -4, -5]]\nB =\n[[-15, -13, 10, -6, 11, -20, 25, -25, -9, -4],\n [-3, -20, -7, 4, 14, 20, -15, -9, 3, 22],\n [-7, 21, 18, 22, -14, -5, -11, 4, -25, -9],\n [4, -5, 2, -6, 25, -7, -2, -15, 0, -9],\n [14, 0, 19, 12, -11, -13, -9, -12, -7, 16],\n [1, -12, -24, -19, -25, -5, 6, 15, 13, -21],\n [2, 12, -15, 13, 23, 9, -13, 1, -25, 25],\n [23, 14, -17, 10, 18, -20, 17, -15, 8, 13],\n [-20, 10, 22, -23, 2, -20, -18, -2, 21, -11],\n [2, -17, 7, 2, -16, 25, -1, -22, 5, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 9, -19, -24, -17, 12, -9, 21, 25, 15, -5],\n [3, 6, 13, -10, 10, -18, -5, 12, 16, -19, -13],\n [-5, -21, -21, 15, 2, 7, 17, -22, -6, 11, 10],\n [14, 11, 12, -17, 14, 9, 6, 7, 1, 24, 12],\n [14, 7, 10, -2, 16, -9, 24, -15, 8, -8, -5],\n [-7, 9, -7, 13, 8, -23, 14, 0, 14, 1, -23],\n [-19, -23, -5, 25, 11, -8, 18, 1, -16, -23, 17],\n [-1, 5, 7, -6, -14, 4, 8, 8, -17, -21, -2],\n [-21, -19, 7, 22, -19, 19, -13, -22, -8, 17, 1],\n [2, 24, -2, -12, -14, -17, -13, 1, -18, -16, -21]]\nB =\n[[18, 7, 25, -14, 6, 24, 21, -22, -17, 15],\n [-17, -17, 19, 25, 25, -19, 12, -24, -16, 11],\n [-2, 13, -14, 17, 13, 13, 10, -23, -23, -10],\n [16, -3, -25, 4, 6, 8, 15, 9, 4, 2],\n [6, 15, 21, -6, 13, -22, 6, -10, 9, -12],\n [-6, 10, 12, 2, -12, -23, -2, 2, 23, -19],\n [22, -11, -1, -19, -2, -15, 23, 10, -11, -16],\n [3, -14, -2, -19, 3, -5, 2, 3, 24, 22],\n [15, 11, -7, 4, -1, 4, 24, 5, -3, 9],\n [-16, -18, 22, -20, -24, 10, -11, 11, -1, -11],\n [-18, -19, -16, 18, -10, 9, -3, 8, -23, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1536", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 3, 18, -17, 9, 16, 22, -2, -24, -24, -7],\n [-15, -2, 24, -10, 6, -1, 25, 14, -19, -8, -18],\n [18, 25, 6, -22, -5, -13, 7, -2, 24, -20, -5],\n [5, 18, 18, -17, 8, -25, -7, -24, -6, -21, 10],\n [-9, -14, -4, 19, 14, -1, 11, 4, -17, 23, -7],\n [21, -19, -4, -5, 2, 0, 13, 10, 0, 0, 13],\n [9, -8, -8, -9, 0, 8, 25, 20, 11, 9, -17],\n [24, -10, -5, -9, -12, -25, 11, 15, 17, -5, 21],\n [-22, 9, -8, -16, 3, 15, 24, -24, -18, 8, -15],\n [18, -16, 7, 23, 20, -22, -1, -4, -21, 14, 22]]\nB =\n[[21, 19, 2, 20, -14, 20, -22, 14, -7, -1],\n [-8, 19, 21, 6, -9, -10, -8, 10, 8, 19],\n [8, 3, 22, -1, -16, -17, 21, -8, -3, -20],\n [11, -4, 2, -18, -15, 10, -18, -17, 0, 21],\n [23, 4, 18, 9, 1, 12, -18, -20, 24, 12],\n [-8, -25, -18, 23, -14, -25, 3, 9, -9, -20],\n [-4, 21, -18, 10, -5, -21, 5, 2, 4, -13],\n [19, 15, 3, 7, 15, -16, 21, -7, 15, -17],\n [22, -10, 18, 1, 13, 24, 22, 21, 13, -20],\n [22, -7, 5, -7, 6, 25, 15, 19, -23, -4],\n [-15, 22, 6, -22, 16, -14, 3, -22, 22, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64576", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-23, -3, -16, -9, 3, 11, 16, -14, 19, 13, -8],\n [-4, -7, -9, 16, 23, 16, -21, -11, 15, 0, 14],\n [-2, 17, -6, -5, 9, 1, 10, -16, 11, 21, 8],\n [18, 0, -15, -6, 7, -20, -24, 21, 22, -17, 6],\n [-7, -1, 4, -9, -13, -1, 25, -12, -8, -10, -18],\n [17, -5, -11, -25, -11, -9, 12, 0, -12, 22, 7],\n [16, 25, -11, -2, -5, -8, -19, -8, -8, -25, -3],\n [-19, -6, 6, -21, 18, -4, 6, 16, -19, -19, 25],\n [-5, 18, -17, 18, 20, 18, 21, -11, 23, 0, -18],\n [-24, -17, 10, -8, -2, -23, 19, -5, -15, -25, -14],\n [18, 23, -20, -19, -22, 20, -18, -3, 24, 14, 25]]\nB =\n[[-12, 11, 7, 20, -21, -20, 20, 19, 19, -3],\n [-11, 21, 8, -23, 4, -10, -12, -5, -24, 23],\n [-6, -8, 15, -7, -9, -12, -13, 1, -20, 9],\n [9, -8, 8, 10, -4, 18, -22, 24, 15, 3],\n [6, -13, -2, -10, -25, 0, -10, 19, 25, 22],\n [17, 2, -6, 6, -19, -20, -7, -18, -9, -7],\n [20, 23, -7, -17, 8, 8, 8, -24, -9, 23],\n [-16, 14, -22, -3, -3, -17, 20, -18, 20, 13],\n [-8, 3, -22, -9, 12, -20, -3, -18, 14, 25],\n [-14, -9, 19, -11, -22, 18, -9, 1, 21, 21],\n [-6, 9, 3, -13, -2, -8, 9, 1, 18, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63842", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, -11, -1, -17, 3, 12, -7, -13, -15, -15],\n [-10, -10, 1, 18, -20, -15, -16, 9, 23, 0],\n [-2, 25, 3, -16, 22, -3, 2, 17, 10, 13],\n [-17, -8, -9, 0, 3, -4, -22, 18, 18, 21],\n [-9, -7, 9, -1, -21, -23, 19, -6, -9, 18],\n [2, -5, -10, 1, -25, 15, -18, 16, -10, -4],\n [17, 2, 1, -21, 6, -14, 1, 22, -7, 20],\n [-5, 19, -2, 18, -22, -24, -1, -8, 0, 9],\n [17, -22, 25, -23, 4, -19, 23, 17, -13, -2],\n [-22, -17, -8, -3, 5, 3, -3, -24, 11, -7],\n [-5, -8, 23, 5, 12, 12, -23, 21, -7, 25]]\nB =\n[[-13, -16, -1, -9, -15, -21, -1, -11, 22, -16],\n [-1, -16, -12, -12, 2, 8, 25, -1, 24, 7],\n [2, 6, 3, 7, 15, -21, 13, 16, -13, 11],\n [4, 0, -21, 8, -20, 11, 24, 6, 16, 19],\n [-8, -25, 21, 8, -7, 22, -16, -24, -25, -25],\n [4, -19, -17, -17, -17, -24, -22, 13, 7, -9],\n [-17, 3, 11, -8, -15, -16, 15, 6, 12, 19],\n [21, -21, -23, -15, -7, 14, -3, 5, 7, -4],\n [20, -13, -14, 20, 18, -7, -17, -21, 14, 9],\n [18, -22, 23, 0, 23, -18, 2, 2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10827", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 4) of the product of the following matrices:\nA =\n[[0, 19, -19, -16, -3, 17, -18, -10, -19, -17, -11],\n [14, 7, -16, -24, -3, 22, 15, -7, 18, -23, 19],\n [-8, 23, -21, 23, -20, -25, 16, -20, -16, 12, 24],\n [-5, -16, 12, 6, -1, 1, 24, -3, -12, -14, -9],\n [9, 6, 0, -17, 22, -22, 7, 3, 14, 17, -9],\n [-18, 9, -13, 15, -22, -2, 23, 18, 13, 22, 12],\n [16, -20, -14, 3, 12, 9, 6, 23, -17, -23, -16],\n [18, -10, 25, 25, -11, -16, 12, 22, -3, 11, -17],\n [15, 7, -9, 7, 9, -8, -17, 22, -12, 15, -8],\n [-5, -21, 19, -20, 3, 8, 13, 20, -25, 0, -6]]\nB =\n[[-18, -14, 22, 23, 2, 25, -2, 12, 18, 19],\n [20, -17, -23, 14, 7, -22, 19, -18, 2, 11],\n [-13, 18, -10, -3, -22, -18, -7, 7, 11, -14],\n [-11, -20, -19, 5, -9, -3, -3, 8, -23, 19],\n [11, 6, -23, -20, -1, 13, -16, -7, -16, -11],\n [2, -17, 8, -2, -21, 1, -1, 3, 6, 24],\n [-8, -18, -6, 4, 22, -16, 15, 2, -6, 3],\n [0, -9, 20, 20, -18, 16, 6, 21, -4, 22],\n [6, 24, 10, -11, -7, -9, -21, 10, 12, 1],\n [-20, -17, -24, 14, -6, 23, -23, 8, 4, 0],\n [9, 18, -25, 5, 4, -7, 3, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, -7, 13, 6, 2, -23, -7, -2, 1, -4],\n [-18, -9, -12, 5, 25, -8, -4, -19, 1, 11],\n [25, -9, 23, 9, 19, -23, -24, -23, -5, 11],\n [-15, -25, -7, -5, 2, -8, -16, 17, 11, -7],\n [-12, -25, 1, -14, 17, 11, 17, -1, -19, 17],\n [22, 4, 2, -18, -3, -14, -1, -17, 20, 6],\n [-9, 24, 12, 14, 18, -22, 24, 12, 4, -2],\n [-24, 23, 13, -17, -2, -2, -11, -19, -6, 25],\n [10, -11, 19, 14, 18, -3, -21, -8, -17, 16],\n [-4, 8, -25, 17, 4, -7, -23, 2, -16, -17]]\nB =\n[[2, -15, -10, -3, 9, -15, -2, 9, -5, -12],\n [1, 19, -25, 1, 19, 11, 0, 24, 12, 24],\n [-15, 21, -15, -21, -21, -10, -12, 7, -2, -21],\n [16, 20, 5, 25, 9, -9, -14, 18, 10, 13],\n [-19, -12, -10, 5, 21, -5, 19, 10, 25, 17],\n [-4, 17, 0, -13, -14, 11, -6, -12, 15, -2],\n [-13, -16, -18, 5, 19, 1, 5, -25, 9, 18],\n [-9, -4, 5, 23, 3, -14, -2, -21, -19, -8],\n [0, -10, -19, -7, -11, -21, -17, -5, 15, 21],\n [8, -4, -1, -24, 22, -13, -12, 20, -24, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52206", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -15, 14, -11, 11, 23, 10, -8, -13, -8, 3],\n [-3, 21, 17, 16, -23, -4, -17, 22, 19, 3, -4],\n [13, -22, 6, 5, 3, -12, -19, -16, 5, 17, 8],\n [14, -13, 24, -5, -22, 20, -22, -4, 20, -11, -21],\n [-8, -23, 10, -4, 15, -13, 21, 7, -1, 22, -6],\n [-12, -17, -14, -18, -6, -22, 10, 24, 2, -8, -15],\n [16, 24, -25, -23, 18, -22, -13, 22, 12, -7, 16],\n [-17, 4, 8, -2, 11, 5, 15, -3, -10, 15, 20],\n [-9, -18, 25, -18, 8, -14, 19, -8, 10, 6, 4],\n [-5, 2, -16, -8, -23, -5, 5, 9, -23, -6, 11],\n [-23, 7, 5, -14, -23, -21, -15, -20, -18, 13, 20]]\nB =\n[[-8, -5, 6, -23, -14, 22, 17, 22, -2, 23],\n [-7, -3, -19, -2, -6, 4, 23, 1, 1, 23],\n [-25, 19, -19, -9, 16, 5, 11, -13, -15, 2],\n [-18, -11, -8, -22, -11, -19, -2, 16, -11, -23],\n [-3, 17, -19, -24, 7, -8, 16, 9, 13, -11],\n [-25, 0, 7, 15, -21, -1, -2, 6, -17, -1],\n [11, 0, 15, 18, -25, 24, -12, 4, 2, 13],\n [1, 15, -17, 6, 16, 8, -22, -8, 14, 22],\n [-10, -20, 4, -15, 13, -23, 19, 11, -24, -19],\n [18, 20, -18, 5, -25, -15, 12, -21, 5, -7],\n [22, 22, 8, -15, -15, 18, 11, -18, 0, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67897", "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, 16, 3, -7, -10, 18, -2, 3, 14, -7, 17],\n [-22, -1, 5, -25, 25, -9, -24, 6, 13, -18, 24],\n [22, 16, -7, 21, 15, 9, 3, -23, -24, 25, 6],\n [-11, 15, -5, -13, -4, 5, -13, -4, -18, 5, 1],\n [-1, 11, -8, 6, 18, 11, -7, -20, -21, 0, -7],\n [-19, 3, -20, -21, -15, 21, 23, -22, 7, -1, 3],\n [16, -11, -25, -5, -11, -16, 20, -9, -1, -25, 4],\n [-7, -25, 23, -20, 17, 6, 25, 10, 19, 8, -21],\n [7, 16, -19, -12, 8, 6, 1, -3, -14, 18, 4],\n [-2, -19, -22, -18, 5, 1, -1, 9, 8, -21, -12]]\nB =\n[[-22, 16, 1, -4, -23, -5, 11, -19, -19, 14, 19],\n [3, 19, 19, -5, 19, 11, -6, -20, 5, 19, -19],\n [9, 1, -24, 9, 3, -3, 3, 20, 8, -8, 2],\n [4, 3, -4, 15, -23, 10, 11, -1, -3, -25, 11],\n [-5, 4, 20, 6, 21, -2, 22, 11, 1, 12, 9],\n [-10, -22, 4, -8, -20, 20, 15, 22, -11, -19, 13],\n [11, 0, 13, -25, 20, 0, 24, 4, -3, 8, 22],\n [20, -23, -7, 5, 25, 13, 19, -13, 3, -16, -9],\n [5, 15, 2, -18, 4, 13, 3, -13, 1, -23, 0],\n [2, 18, -16, 19, -7, -10, 16, 3, 7, 0, -5],\n [12, -1, -10, 13, -24, 16, -4, -24, -15, -9, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54659", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -22, 1, 20, -24, 17, 10, 12, 10, -21, 2],\n [-17, -12, -5, -14, 25, 21, 15, -11, 21, 2, -15],\n [-6, 1, 6, 23, 23, 24, -13, -22, 22, -12, -20],\n [-23, 4, 16, -14, -20, -1, 1, 9, 23, 9, -19],\n [-6, 17, -16, -15, 15, -19, -10, -23, -1, -3, 2],\n [-5, -22, 25, 17, 19, 17, -18, 24, 4, 10, 5],\n [6, 11, 10, 24, 10, 12, 8, 4, 1, 25, -18],\n [8, -11, 3, -19, -22, 15, 21, 9, 22, -18, -3],\n [24, 5, 22, 0, -10, 17, 24, -5, -13, 25, -21],\n [-15, 20, -25, -16, -8, -12, 14, 16, -20, 16, -3]]\nB =\n[[1, -24, -9, -1, 3, -24, -15, -13, -11, -22, -17],\n [8, 8, 24, 15, 9, 5, 7, 8, -3, 23, 1],\n [12, -25, -2, 21, -8, -12, 9, -20, -23, 6, -22],\n [19, -19, -23, -23, -9, 12, 21, -25, -24, -25, -15],\n [-17, -21, 14, 7, 12, 12, -7, 4, 7, 12, -5],\n [14, -22, -4, -4, -3, 11, -17, -4, 10, -25, -14],\n [6, -23, -1, -7, -21, 3, -9, 25, -4, -18, 4],\n [17, 14, -5, -19, 15, 20, -6, -13, 10, 24, -17],\n [-12, -10, 21, -10, -11, -23, -21, -21, 19, -1, 10],\n [1, 1, 0, 25, -12, 20, -25, 0, 18, 19, 10],\n [-8, -3, -18, 24, 3, 18, -6, -9, 18, -25, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7369", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-19, -12, -24, -18, 2, -16, -17, -19, 23, 9],\n [10, -18, -16, -24, -3, 16, -6, -3, -4, -5],\n [24, 0, 19, 6, 16, -3, 20, -12, 11, 25],\n [4, 5, -17, -7, 16, -2, 10, 24, 21, 6],\n [-25, -15, 2, 4, -1, 17, 19, 0, 0, -18],\n [15, 24, -22, -23, 17, 20, 25, 17, -12, -18],\n [16, -23, -3, -9, 16, 9, 19, 25, 9, -8],\n [-24, -13, 14, 22, -25, -19, -17, 22, 23, -15],\n [12, -19, 24, -23, 16, 21, -21, -1, 7, 20],\n [-14, -16, -8, 22, 10, 0, 4, 20, -7, 8],\n [2, -2, 15, -10, 23, -1, 11, 14, 18, -18]]\nB =\n[[3, 13, -6, -23, -24, 13, -12, -3, 17, -6, 8],\n [6, 1, -9, 19, -16, 8, 6, -17, -17, 16, -13],\n [2, 5, -18, -2, -14, 8, -19, 24, 9, 4, 10],\n [-5, -11, -20, 22, -10, -12, -14, 7, 20, 20, -9],\n [7, 12, 2, 16, -5, 6, -11, -1, 10, -3, 8],\n [-14, -19, 6, -2, -3, 13, 8, -21, 6, -13, 6],\n [20, -15, 22, 22, -18, 6, -8, -7, -19, -8, 12],\n [15, -9, 17, 9, -17, 21, 11, -17, -11, -4, 7],\n [7, 1, 20, 6, 7, 7, -2, -20, -25, -17, -3],\n [-18, 3, -8, 8, 22, -18, -16, 9, -10, -2, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5385", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the product of the following matrices:\nA =\n[[-15, -21, -2, 10, -21, 12, 4, -15, 12, 21, 0],\n [13, -23, 14, 24, 11, 15, -13, -12, 0, -16, -3],\n [-15, -22, -13, 5, -8, 15, 8, -12, -1, -1, -24],\n [-8, -8, 16, -3, -24, -5, -25, 3, 6, 22, 10],\n [-13, -13, -23, 23, 4, 12, -1, 10, 19, 24, -12],\n [8, -4, -25, 25, -3, 0, -5, -21, -20, 18, -6],\n [10, 20, -5, 17, 9, -12, 14, -1, -9, 21, 13],\n [-23, 13, -16, -20, -14, 11, 2, 10, -25, 12, 5],\n [25, -9, -4, 8, 8, 21, 17, 3, -4, 9, 20],\n [12, -10, 5, 9, -16, 18, -20, -7, -14, 1, 7],\n [0, 18, 11, -2, 5, 21, -24, -4, -8, -6, 15]]\nB =\n[[-8, 3, 23, -1, -15, 10, -14, -18, 2, -23, 7],\n [14, -15, -6, 4, 2, 6, -11, -10, -21, -22, 1],\n [-22, -9, -12, -25, -17, 5, -14, -18, 9, 13, -3],\n [-25, -25, -12, 20, 13, 13, 6, 11, 18, 2, 10],\n [7, 1, 7, -23, -6, 24, 9, 11, -12, -15, 15],\n [-24, -22, -16, -19, -7, -19, 1, 8, -21, 14, 4],\n [14, 15, 0, -17, 25, 9, -20, -1, 24, 17, 18],\n [-16, -7, 9, 13, 0, 19, 9, 25, 25, -23, -21],\n [19, -17, 3, 25, 18, 8, -6, -10, 7, 14, -4],\n [21, -11, 10, 24, -4, 8, -1, 2, 8, -5, 1],\n [-25, 3, 6, -13, -13, 10, -13, 20, -21, -16, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1040", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, -9, -24, 8, -10, -1, -19, 8, -4, 0, -6],\n [16, -25, -17, 25, -4, 5, -9, -24, -10, 17, -16],\n [-16, -1, 9, -11, -7, -22, 21, -4, 10, -4, -7],\n [-17, -15, -18, -25, -4, 21, -24, -11, 3, -11, 17],\n [-8, -16, -7, 23, -16, 1, -4, 23, 4, -1, -11],\n [-23, -17, 8, 7, -3, -16, 8, 20, 25, 13, -25],\n [-18, 13, -12, -23, -14, -12, 17, -8, 8, -17, -24],\n [-11, -17, -15, -5, -25, -6, 0, -17, -10, 25, 0],\n [-18, 1, -16, 21, -11, 24, -7, -2, -13, 20, 18],\n [-19, -19, 10, 22, 2, 10, -11, 9, -14, 2, 5],\n [5, -14, -9, -22, -15, 7, 14, -3, -12, -15, -4]]\nB =\n[[15, 16, -17, 10, -4, 23, 5, 5, 14, -20],\n [18, -6, -17, 14, -6, -6, 10, -25, 17, 9],\n [15, -15, -23, 22, -20, -5, -17, 24, -6, -7],\n [0, -12, -2, -23, 19, 2, 13, 18, -25, -17],\n [-25, 5, -15, 10, 4, 25, -2, 12, 1, -3],\n [8, 9, -19, 19, -18, 1, 1, 23, -17, -20],\n [-24, -17, 23, 18, -20, -15, -25, 9, -16, -6],\n [16, -7, -15, 1, 23, 3, -6, -18, 21, -13],\n [-18, -7, 7, 15, 13, -2, 7, 24, 23, 10],\n [-23, -23, -25, 1, 13, 9, 23, 8, 25, 0],\n [22, 18, 5, 2, 10, -10, 19, -6, -17, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8018", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-25, -25, 7, -2, 11, -24, 23, 4, -8, 18],\n [2, -11, 9, -12, -24, -24, 16, -2, 22, -15],\n [-7, -25, 2, 1, -14, 7, 13, -9, 25, 20],\n [-12, 25, 4, 0, -10, 6, -19, -2, 17, -25],\n [-5, 0, 4, 0, 17, 9, 4, 12, 13, -3],\n [10, -15, 24, -12, -14, 4, -11, 12, 19, -1],\n [-23, -23, -3, 20, 24, -16, 0, 7, 3, -25],\n [-6, -18, 14, 2, 5, -11, -14, 9, -21, -25],\n [4, 9, 19, -23, -7, -21, -13, -21, 14, -21],\n [20, 12, 24, -22, 21, -12, -10, -25, -16, 23],\n [13, -8, -10, 15, 20, 5, -14, -10, -2, -5]]\nB =\n[[23, -10, -1, -5, -22, 12, -2, -20, 15, -19],\n [-22, 10, 24, 18, 5, -1, -12, 10, 17, 18],\n [-21, -14, -22, 4, 25, 3, 3, -4, 10, 0],\n [-4, -25, 7, 13, 9, 0, 7, 1, -17, -18],\n [16, 24, 20, -23, 0, -18, -11, -18, -24, 4],\n [18, 11, 1, 1, -20, -17, 3, 23, -7, -2],\n [-6, 6, 20, 9, 25, -22, -13, -21, 11, 25],\n [-15, -10, 1, 22, -7, 0, 14, 9, -23, 3],\n [-5, 6, -4, -22, -10, -25, 8, 2, -15, -23],\n [20, 15, 11, -16, -10, 2, 3, -4, -17, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14824", "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, -14, 2, -21, -7, 25, -14, -14, 21, -25, -24],\n [2, -7, 5, -16, -25, 22, 22, -14, 6, -13, -2],\n [4, 19, 16, 23, -20, 4, 9, 11, 2, 6, 15],\n [11, 23, -21, -2, -21, 6, -8, 5, -24, 9, 1],\n [2, -14, -24, -19, -6, 23, -24, -16, 24, -13, -10],\n [16, 22, 2, 3, -15, -10, -18, 19, -5, -20, 18],\n [-15, 0, -14, -24, -6, 13, 21, 2, 13, -19, -10],\n [-13, 3, 20, -4, 22, 12, 10, -24, 10, -12, 2],\n [-13, 24, -22, -10, -24, 18, 23, 20, 9, -6, -8],\n [-18, -3, 19, 21, 25, -3, -1, 15, 10, -23, -8],\n [3, 25, -2, 3, -14, 15, 7, -13, -12, 8, 0]]\nB =\n[[-18, 2, 12, -19, 3, 3, 4, 17, 16, 19, 6],\n [-7, 24, -20, 17, 16, 18, 15, 12, -19, -8, 5],\n [-21, -20, -7, 16, 10, -12, -16, 22, 14, 2, 25],\n [14, -16, -5, -23, -14, -21, 0, 1, -16, 24, 12],\n [-13, 0, 22, 1, 15, 21, -18, -3, 14, -5, -25],\n [-24, -1, 14, -14, 18, 11, -10, -14, -14, -19, 12],\n [-17, 0, 12, -10, -9, 21, -4, 11, 19, 13, -24],\n [13, -7, 14, 20, -3, 12, -23, -4, 15, -18, 12],\n [-8, 22, 3, 3, 24, 5, 22, 9, 5, 11, 3],\n [12, -8, 2, 25, 0, 19, 12, 12, -12, 12, 12],\n [18, 4, 1, -12, -16, 7, 4, 16, -25, -7, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64285", "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, -21, -1, 7, -5, 5, -12, 5, -10, 14],\n [-1, -21, -1, 5, -11, -16, 13, 25, 15, 15, -14],\n [-12, 0, -19, -23, 0, -24, 6, 13, -13, 18, -24],\n [-15, 11, 10, 21, -8, -11, -3, -12, 4, -17, 25],\n [8, -1, 21, 20, -3, -15, -20, -15, 19, -14, 6],\n [14, 25, -14, -9, 25, 1, 20, 4, -17, -24, -1],\n [18, -4, -9, 2, 22, 10, 25, 12, 5, -14, -14],\n [-6, 23, -13, 20, -14, 11, 10, 7, 1, -16, -13],\n [14, 24, 12, -22, -15, -22, 5, 5, -17, -21, 17],\n [-2, -23, 17, 10, 10, -15, -21, -24, 12, -13, -14]]\nB =\n[[-10, 12, -10, -15, -17, -2, 9, 12, -2, 12],\n [4, 16, 9, -5, -9, -2, 1, 4, -13, -23],\n [2, -4, -8, 8, -16, 12, -5, 7, -2, -13],\n [13, 23, 17, -3, 5, 14, -16, -25, -24, -24],\n [25, -1, 4, -10, -6, -9, -20, 2, -20, -25],\n [19, -2, 16, -12, 1, 20, -13, 13, -12, -2],\n [-17, -4, -21, 9, 2, 11, 4, -17, 23, 21],\n [0, -5, -22, -9, 8, 3, -7, 19, 8, -17],\n [-15, -12, 2, 16, 11, -7, 14, 18, 23, -16],\n [10, -10, -11, -8, -20, 21, 16, 19, 22, 17],\n [-2, -3, 3, 21, 21, -3, 5, 1, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51586", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -1, -21, -5, -15, -7, 15, -10, -20, 15, 21],\n [12, 0, 12, 2, -4, -19, -25, 15, 22, -13, -9],\n [15, -5, -25, -9, -6, 4, -9, 1, 1, 18, 15],\n [-22, 15, 7, -25, -15, -18, 9, 4, 11, 14, -2],\n [-23, 5, 15, 12, -22, -22, -18, 10, -24, -23, 21],\n [5, -16, 22, 0, -24, -12, -24, -8, 1, -17, 6],\n [-15, -5, 7, 7, 18, -8, -2, -14, -11, -5, 22],\n [-20, 12, -19, -8, -4, 6, 11, -19, 25, -6, -13],\n [10, 3, 17, 18, -5, -24, 18, 3, -7, 8, -18],\n [6, -13, -8, -22, -8, 21, -12, 21, 22, -18, -7],\n [-2, 23, -10, 11, -25, 19, -11, -17, 16, -8, -22]]\nB =\n[[16, -21, -19, 24, -24, -23, -25, -8, -19, 20],\n [-20, 8, 10, 17, -21, 15, -5, 24, -3, 9],\n [-25, 17, 9, -7, 4, 16, -20, 16, 5, 18],\n [-12, -10, 3, 13, 16, 14, -7, -5, 7, 4],\n [-12, 5, 0, -8, -22, 10, -13, 11, -16, 11],\n [4, 15, -22, -16, 16, 18, 14, 14, 2, -24],\n [1, 3, -20, -3, -14, 15, -18, -16, -9, -25],\n [-23, 18, 20, 2, 16, 10, 22, 0, -1, 8],\n [-23, 2, 3, -13, 16, 13, -6, -4, -13, -18],\n [16, -7, -21, -21, 8, 23, 8, -15, 12, -19],\n [-10, -8, -20, 24, 25, -25, -3, 24, 12, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6756", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-14, -21, 17, 1, 19, 24, -5, 21, 17, 11, -13],\n [-7, -13, -4, 20, 6, -23, -17, 12, 22, -3, 23],\n [0, -19, -16, -21, -10, -17, 24, -1, 13, 12, -11],\n [6, 9, -2, 10, 14, 15, 24, 0, 11, 15, -3],\n [-7, 20, -15, 25, 21, -8, 2, -11, 16, 14, 6],\n [-11, 17, 11, -23, 14, 25, -14, -10, -21, 21, -21],\n [18, -1, -15, 14, -16, 11, -18, -6, 11, 9, 3],\n [7, 1, 20, -19, -3, 24, 1, -21, 16, -15, -17],\n [19, -25, 18, 3, -21, -10, -12, 14, -9, -17, 25],\n [6, 7, 16, -19, 13, -5, -11, 8, -22, -14, 8]]\nB =\n[[-2, -5, 12, 17, 23, 15, 2, -23, -25, 14, -15],\n [-6, -20, 17, 13, 15, 10, -2, 20, 4, 17, 16],\n [-25, 0, -16, -6, -9, -10, 6, -17, 5, 1, -4],\n [23, 21, -5, 11, 16, 16, -1, -23, -23, -22, 19],\n [16, 11, 8, -16, 21, 5, -1, -24, -17, 4, -1],\n [5, 3, -12, 2, -18, 13, 17, 11, 1, -17, -13],\n [15, -6, -10, -16, -1, -23, -11, -25, 23, -11, -10],\n [-15, -25, -7, -16, -18, -6, -17, -19, 24, -14, -3],\n [13, 15, 10, 0, 14, -16, -1, 4, 17, 11, 16],\n [7, 25, 18, 10, 17, -23, 6, 9, -8, 4, -7],\n [-14, 8, -22, -2, -19, 22, -9, 21, 13, 24, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -1, -7, 0, 7, -12, 18, -3, 5, -7, 4],\n [21, 0, -18, -4, 1, 4, 8, -24, -13, -16, -1],\n [7, 15, 1, 3, 1, 13, -10, 17, 3, 9, 20],\n [-10, -11, 1, 7, -1, 7, -14, -12, -16, 16, 11],\n [-14, 21, -5, 10, -19, -14, -6, 8, 5, -20, 19],\n [16, -22, -10, 14, 4, 6, 2, -23, 22, 24, -23],\n [1, 25, 15, 3, 19, -13, 19, 21, -15, -18, 18],\n [11, 3, -16, 21, 13, -19, -18, 12, 0, -24, 10],\n [9, -15, 24, -2, 3, -3, -21, -2, -12, -9, 13],\n [18, -25, -14, 12, 18, -10, 10, -23, 14, -21, 6]]\nB =\n[[-9, -18, -23, 7, -7, 16, 22, 15, -10, -23, -2],\n [17, 0, -15, 1, 11, -15, 8, -20, 13, 23, -23],\n [10, 8, 10, -11, 24, 7, 7, -21, -21, 25, -23],\n [17, 5, 21, 2, -21, 4, -9, -10, -18, 6, -11],\n [-11, 4, 14, 11, 14, 7, -1, -9, 25, -23, -8],\n [17, -19, -1, 20, -11, -16, -10, 0, -5, -16, -15],\n [21, -6, 8, 13, -6, 24, -13, -3, -12, 2, 16],\n [-3, 14, -22, 8, 22, 8, -7, 0, -15, 4, -8],\n [4, -8, -15, -24, -7, -5, -9, 8, 18, 22, -11],\n [13, 11, -6, -22, -9, -1, -18, 15, 1, 5, -18],\n [-1, -17, 16, 18, 17, -25, 10, 4, 22, 23, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9008", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[22, 20, -12, 16, 22, 20, -22, 0, -12, 14],\n [19, 10, 21, -23, -6, -20, -5, -15, 1, 4],\n [-12, 21, -8, -20, 18, 15, 6, 7, -14, -22],\n [24, 10, 23, 17, -15, 10, -11, -2, 7, 2],\n [14, -22, -14, -10, -14, 20, -5, 0, -17, -6],\n [24, -5, 16, -21, -15, -21, -10, -14, 11, 8],\n [-4, -11, 6, 7, 9, -22, -10, -16, 19, 17],\n [7, -14, -11, 5, 9, 22, -3, 6, 22, -1],\n [-21, 15, -12, 5, 22, -12, 16, -12, -20, -1],\n [18, 2, 23, -9, -22, 2, -19, 16, -20, 16],\n [11, 17, 23, 3, 2, -7, -12, 20, -13, 3]]\nB =\n[[9, 15, -24, -24, 0, -25, 2, 11, 8, 20],\n [-2, 23, 22, 3, 2, 8, 7, 12, 8, -21],\n [4, -4, -23, 3, 5, 4, 3, 5, -2, 15],\n [-3, 22, 12, 23, 23, 8, -2, -1, -24, -20],\n [15, 6, 18, -13, -10, 0, -16, -22, -12, -2],\n [12, 11, 13, -3, -15, -18, -20, 8, 11, 7],\n [19, -16, 10, -19, 25, -9, -6, 21, 2, -2],\n [12, -17, 4, 13, 10, -9, -10, 8, 17, -19],\n [1, 25, -19, 23, 6, -10, -7, 23, 0, -25],\n [17, 4, 17, -11, -23, -6, -7, 1, -25, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2111", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 5) of the product of the following matrices:\nA =\n[[-13, 7, 17, -2, -15, -21, 17, 22, 6, 9, 25],\n [-7, -25, -11, -7, -22, -1, 20, 10, -18, 19, 23],\n [0, 10, -8, 2, 7, 10, -21, 10, 25, 2, -9],\n [-12, 3, -11, -23, -23, -7, 7, 10, 22, 0, 13],\n [-10, 25, -2, 3, 14, 19, 1, -19, -17, 13, 19],\n [-22, 11, 8, -19, -22, -17, -24, 1, 6, -6, -5],\n [-9, 16, 17, 25, -13, -2, -20, 0, 6, -24, -21],\n [-21, -12, 25, -20, -6, 8, -9, -23, 7, -17, -20],\n [-17, -8, 14, -18, -9, -1, -1, -17, -17, -22, -11],\n [-16, -11, -9, 12, 11, -23, -7, -5, 13, -25, -2]]\nB =\n[[-8, -9, 6, 3, 22, -24, 15, -23, -19, -4, 12],\n [-18, 9, -22, 17, 17, -5, 11, -11, 19, 2, 16],\n [21, -21, 7, -22, -21, 19, -23, -5, -20, -15, -1],\n [-18, 2, -25, 0, 6, -22, 21, -2, 17, 8, 21],\n [-2, 21, 5, -17, 23, 25, -11, 3, -16, 23, -13],\n [-24, -12, 18, 15, -10, -22, -4, 4, -5, 14, -18],\n [10, -11, -16, 24, 24, 6, -10, 21, -11, 13, 13],\n [18, -25, -23, -9, -14, 23, 9, -24, 9, -15, 1],\n [-7, -6, -15, 2, -9, -14, -21, 13, 0, -3, 14],\n [-14, -24, -19, -14, 17, -15, -2, -5, 23, -3, -14],\n [19, 2, 22, 8, 11, -25, -20, -22, 14, 16, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1995", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, 8, -1, -3, -3, -20, -8, -23, 14],\n [8, -20, 8, 19, -24, -11, 5, 7, 17, -24],\n [3, -18, -22, -25, -25, 21, 3, 18, 12, -1],\n [-8, -14, -15, -21, -19, 11, 17, 9, 7, -17],\n [-9, 21, 21, -23, 14, -9, 13, -13, -23, -7],\n [11, 20, -20, 8, 9, 13, -12, -14, 2, 13],\n [-24, 13, 23, 12, -1, 1, 8, 2, 17, 16],\n [20, 1, -17, 3, -18, 13, -24, -9, 13, 12],\n [10, -12, -3, -25, -25, -23, 14, -3, 2, -10],\n [3, 7, 6, 21, -3, 21, 21, 20, 7, 16]]\nB =\n[[7, 12, -23, 8, 23, 2, -18, 23, -17, -21],\n [5, 9, 9, -21, 7, 21, -13, -1, 17, -2],\n [-15, 25, -7, -15, 7, 4, -12, -25, 5, -23],\n [17, -1, -1, 25, -8, 18, 8, -12, 19, 18],\n [1, 5, 17, -24, 6, 11, 8, 8, 4, 7],\n [-2, 7, 0, 15, 10, 15, -20, -9, -2, -10],\n [18, -2, -21, -2, 0, -6, 2, -6, 3, 8],\n [25, 2, 0, 21, 6, -5, -8, -14, 9, -4],\n [3, -7, -8, -8, 18, 21, 23, -10, 18, -7],\n [23, -17, 7, -13, -15, 7, 11, 4, 13, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4283", "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, -3, -2, 6, 23, 12, -22, 18, 15, 20, 1],\n [-15, -5, -12, -8, -2, -6, 15, 0, 5, -10, 15],\n [22, 16, 13, -7, -19, -10, -2, -20, 14, -10, 10],\n [13, -11, 14, 24, -22, -24, -12, -4, -24, -6, -22],\n [8, -8, 24, 22, 21, 23, -6, 0, -19, -7, -2],\n [-15, -10, -25, 10, 2, -13, -15, -20, 4, 11, 8],\n [24, 2, -17, 5, -20, -20, 10, -6, 14, 6, 21],\n [23, 6, -21, 12, 11, -16, 11, 21, -24, -19, -15],\n [-25, -12, -5, -20, 22, 0, -9, 0, -19, 22, -25],\n [-11, 5, 10, -20, -7, -20, 4, 9, 19, -9, -10]]\nB =\n[[-16, 10, 19, -8, -16, 11, -22, -18, -2, 21, 8],\n [-14, -2, 16, 18, 1, 12, -9, 24, -10, 21, 15],\n [1, 9, 23, 0, 22, -20, 19, 20, -25, 10, -7],\n [8, -20, -21, 13, 5, 13, 16, -19, -21, 9, 2],\n [1, -20, 14, -8, -9, -25, -7, -21, -16, -16, -2],\n [-24, -15, -22, -3, -19, -11, -3, 9, -15, 13, 5],\n [-24, -16, 22, -21, -14, -8, 2, -18, -22, -9, 3],\n [-17, -12, 14, -17, 12, -17, 15, -15, -4, 15, 19],\n [1, 4, -20, 7, -4, 0, -20, 7, -16, 11, -25],\n [18, -11, -3, -14, -8, 21, 23, -10, 1, 22, 2],\n [-17, -6, 7, 0, 3, 3, -25, -9, 18, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61298", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 11, -14, -15, 2, -5, -24, -6, -6, 10],\n [23, 22, 7, -9, -9, -7, -21, -12, -12, 13],\n [-10, 23, -22, -16, 25, -2, 4, 5, 20, -2],\n [1, 6, -18, 3, -10, -21, -6, -11, -11, -6],\n [-17, 2, 13, 24, 18, -19, -3, -2, -10, -4],\n [-3, -7, -14, 25, 0, 23, 7, 15, 13, -24],\n [-9, -15, -21, 15, -18, 15, -6, 1, 1, 4],\n [8, 16, -2, -14, 3, 20, -17, -12, -7, 15],\n [20, 4, -15, -4, 18, 6, 10, 11, -21, -7],\n [20, 11, 14, -6, -3, -11, 7, -23, 18, -6],\n [-21, 10, -4, -9, 21, 13, -9, -20, 24, -10]]\nB =\n[[-24, -11, -20, 15, -24, -23, -21, 0, -4, 11],\n [-16, -2, 12, -11, 12, 18, -13, 6, 16, -21],\n [18, -13, -15, 8, 8, 24, -17, 1, 16, 4],\n [9, -23, 18, -2, 14, 3, -14, 11, -6, -24],\n [-18, -10, 1, 7, -2, 16, -13, -3, 2, -14],\n [-24, 25, -13, -12, 21, 17, 0, -4, 8, -25],\n [18, -22, -10, -17, 25, 12, 21, 18, 5, -4],\n [-24, 23, -20, -11, -8, 14, -18, 24, 2, 1],\n [1, 1, -16, 18, 8, 6, -14, 0, 23, 1],\n [-14, 11, 5, 7, -25, -13, 4, 22, -4, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54127", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, 22, -19, -24, -24, -6, -19, 23, 3, -21, -22],\n [14, -12, 19, -25, -10, -2, -2, -24, -12, -22, -11],\n [-24, 25, -1, 10, 23, 7, -24, 1, -17, -25, 17],\n [-16, -11, 13, -19, 19, -25, -11, -25, -20, -5, 0],\n [-19, 22, 4, 7, -9, 25, 13, 11, 13, 18, -17],\n [17, -22, 18, -9, -22, 18, 22, 15, -25, 21, -16],\n [19, 21, -5, 6, 4, -15, 23, -6, 14, 23, 2],\n [-17, 20, -6, -20, 25, -1, 11, -19, -18, 10, -19],\n [-6, -21, 11, -25, -19, -3, 11, 2, 11, 22, -20],\n [17, 1, -18, 8, 11, 15, 0, -21, 21, -6, -22],\n [-7, -21, 11, -25, 16, -16, -18, 24, -15, -21, -9]]\nB =\n[[-2, 18, 16, 18, 24, -20, 0, -23, 17, -9],\n [10, -18, -17, 18, -3, -6, 11, -11, -12, -4],\n [17, 17, -11, 22, 18, 11, 22, -14, -5, 14],\n [-18, -4, 21, 14, -19, 12, 22, -22, -20, 25],\n [4, -25, -2, 6, -4, 23, -13, 21, 18, 11],\n [2, -23, -20, -24, 9, -5, -5, 21, 5, -12],\n [-18, 22, 2, 16, 6, -10, 19, 11, 5, 12],\n [-15, 20, -25, -25, 13, 23, 1, -9, -11, -11],\n [-24, -12, -2, 12, 11, -2, 6, -4, -14, -15],\n [23, 3, -23, -22, -7, 9, -14, -16, -16, -16],\n [-9, -3, -11, -13, -11, -18, -19, -10, 12, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-25, 15, 3, -23, 2, -3, -11, 24, 6, -1],\n [-6, -18, -4, -1, 11, -16, -10, -23, 20, 1],\n [5, -8, -7, -24, -5, -11, 19, -15, -19, 18],\n [-11, 7, 9, 12, -15, -25, -5, 4, 1, -8],\n [7, -25, -6, 3, -13, 17, 23, 13, 13, 8],\n [-3, 22, -13, -24, 2, -22, 24, 13, 6, 16],\n [22, -15, 6, 23, -1, -21, -11, 11, 4, -22],\n [-22, -18, -12, -9, -15, -20, 5, -14, 15, 25],\n [12, 1, -21, 3, 23, 4, -13, -13, 3, 19],\n [-21, -12, -4, 25, -9, -7, 20, 19, 15, 10],\n [22, -14, -1, -3, -9, 9, 13, -2, 12, 14]]\nB =\n[[-14, 17, 12, -12, -12, -16, 21, -25, -3, 2],\n [-19, 6, 17, -15, -17, -2, 14, -22, -9, -5],\n [-1, 7, -23, -22, 17, -13, 3, 25, 10, -20],\n [9, -12, -25, -19, 5, 22, 12, 15, 18, -6],\n [3, 1, -4, -11, -23, 24, -13, 5, -15, 5],\n [9, 4, 10, -3, -11, 24, 12, 14, 12, -23],\n [-3, -5, -21, -1, -16, 22, -14, 6, -4, 5],\n [8, 4, -8, -15, 9, 2, -8, -25, 8, -24],\n [-21, -19, -8, -4, 3, 21, 2, 13, -5, -12],\n [-1, -25, -5, 6, 4, 17, 25, -18, 20, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -22, -2, -17, -25, 1, 7, 3, 10, 16, 21],\n [-21, 3, -17, 9, -21, 10, 13, 9, 21, -12, -24],\n [-19, -11, -14, 12, 5, 21, 14, -17, -4, 4, 17],\n [12, -2, 2, -10, -9, -11, -14, 7, 20, 2, -22],\n [-5, 20, -5, -21, -14, 19, -18, -14, -15, 5, -13],\n [6, -11, 4, -20, -18, -11, 5, -12, -17, 2, -7],\n [22, -17, -12, 9, 2, 17, 9, 16, -5, -23, -9],\n [-25, -17, 5, 8, 1, 22, 5, 10, 8, 19, -10],\n [17, -3, -4, -22, -23, -11, 7, -18, -12, 10, 12],\n [-12, 10, 2, 20, 5, 17, -25, 22, 5, 4, -14]]\nB =\n[[-12, 11, -20, 4, -9, -13, 22, 12, -10, 22],\n [2, -14, 10, -10, -14, -25, -7, -20, -20, -8],\n [22, 2, -14, 5, 1, 20, 23, -18, -15, -19],\n [-4, -6, -7, -24, 23, 19, 1, -1, 20, -15],\n [-17, 0, 5, 15, 23, 23, -15, -14, 17, -16],\n [0, -17, -8, -1, -8, 17, 23, 18, -12, 1],\n [-4, 10, -9, -14, -12, -20, -16, 17, 19, -12],\n [-4, 19, -23, -18, 12, 10, -21, 8, -25, -21],\n [-13, 0, 20, 16, 8, 17, 5, 25, 12, -4],\n [2, -16, -6, 21, -14, -8, 11, 11, -17, 1],\n [18, 18, -9, -24, -25, 16, 19, -11, -14, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1582", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 7, 17, 22, 10, 5, -6, 12, 2, -15, 1],\n [-18, -13, -5, -23, 11, 23, 17, -19, -11, -21, 8],\n [-7, 7, -23, 20, -21, -7, 16, -24, -20, 13, -12],\n [-22, -6, -25, 8, 3, 13, 19, 4, -15, 22, -6],\n [11, -5, -1, 10, -22, -3, -20, 0, 2, -2, 14],\n [23, 7, 0, 0, -1, 4, 12, 10, -6, 10, -21],\n [6, 16, 4, 16, 1, -2, -5, -25, -10, -12, -16],\n [2, 10, -7, -14, -8, -11, -7, 14, -8, 2, -9],\n [25, -5, 2, -10, 0, -7, -25, 3, -4, 6, 18],\n [-8, 10, -19, -18, 23, 18, -13, -20, -12, 14, -25],\n [-6, 23, -7, -3, -19, -3, -1, 23, 13, -19, 7]]\nB =\n[[-14, -8, 7, 21, 17, 19, -22, 14, 20, 0],\n [9, 16, 25, -3, 2, 9, -4, 10, -18, -20],\n [14, -24, -14, 3, -15, -7, 19, -23, 23, 20],\n [-5, 0, 1, 3, -12, -25, 24, -7, 10, -20],\n [-13, -7, 17, -22, 24, -2, 11, 15, 6, -4],\n [6, -9, 12, -12, -13, -3, -5, 1, -20, -14],\n [23, -16, -7, -14, 11, 15, -15, -14, 23, 22],\n [24, -20, 0, -14, -23, -1, 15, -22, -3, -25],\n [-22, -9, -17, -8, -9, -9, -7, 14, -5, 8],\n [5, 2, -4, 22, 10, 8, -15, -19, -4, -5],\n [17, 13, -15, -19, -23, 13, 21, 10, -8, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5245", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 10) of the product of the following matrices:\nA =\n[[4, 25, 22, 1, 15, -24, -8, -5, 4, 17],\n [-16, -1, 14, 12, 16, -7, -13, 11, -1, -21],\n [-22, -8, 20, 10, 24, -14, -9, 21, 12, -5],\n [-11, -9, -9, 22, -12, 3, 7, 9, -11, -9],\n [-14, 23, 17, -21, -11, 19, 15, 24, 19, 9],\n [8, -6, -24, 0, -25, -21, 6, -24, 0, -16],\n [19, -10, 1, -13, -2, -5, -21, -12, -8, 25],\n [17, 13, 3, 15, -8, -17, -11, 15, -25, -10],\n [9, -11, -8, 10, 12, -6, -14, 16, 9, -15],\n [-5, -10, -23, 8, -2, -10, 11, 10, -25, -2],\n [-2, 13, 23, 24, -12, 8, 16, 11, -15, -23]]\nB =\n[[1, 18, 24, 18, 3, -3, -5, -18, 10, -5],\n [-2, -14, 22, -7, 13, -7, 23, 9, 10, -21],\n [-15, -20, -1, -14, -10, -11, 25, 16, 20, 17],\n [25, -25, 8, 8, 19, 14, 5, -16, -17, 18],\n [-20, 4, -5, 3, 0, 9, -3, 22, -1, 8],\n [-17, 19, -18, 7, -6, 24, -9, -10, -11, -13],\n [-21, 12, -12, 23, -8, 8, -15, 8, 15, -10],\n [14, -4, 9, -2, -8, 21, -24, -9, 8, -25],\n [-2, 1, -12, 14, -24, -15, 6, -21, 0, 12],\n [-19, 9, 2, -14, -1, 9, 5, -12, 16, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-566", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, -4, 7, 4, 18, -2, -3, -18, -25, 25, 22],\n [22, -21, -13, 6, -1, 14, 25, -1, 17, 20, -20],\n [-14, -10, 16, 0, 17, 0, 25, -4, 1, -10, -17],\n [-14, -23, -12, -12, -7, -3, -1, -6, -16, -5, -19],\n [-12, -17, 7, -25, -10, 10, 17, -15, -2, -21, 25],\n [-21, 0, -16, -10, 4, 16, -20, -4, -25, -8, -9],\n [-8, 9, -7, -17, -12, 13, -17, -19, -9, -22, -22],\n [-1, 13, -13, 17, 25, 14, -12, 12, 1, -15, -19],\n [2, -10, 2, 5, -4, -17, 11, 5, 5, -5, -21],\n [20, -7, -5, 4, 11, -13, 25, 25, -25, -20, 18],\n [-7, -3, 4, -7, -12, -19, 23, 19, -16, 6, -12]]\nB =\n[[25, 14, -9, 13, -12, -24, 19, -13, -13, 15],\n [-5, 1, 4, 5, -2, 21, 25, 2, -16, 20],\n [3, 8, -7, -9, 8, -12, 2, -15, 12, 14],\n [23, -19, -8, 7, -15, 15, 23, -6, 16, 13],\n [-8, 16, 24, -11, 9, -22, 12, 9, 20, 13],\n [18, 17, 2, 12, -2, -20, 4, 8, -21, -15],\n [-17, -13, -9, 20, 17, -18, 25, 1, -24, -7],\n [13, 5, 25, 17, -4, -15, -12, -10, 4, 8],\n [-12, 6, 9, 10, 0, -14, -18, -1, -3, -21],\n [-13, -10, 5, 24, -19, 13, 6, 21, 13, 7],\n [4, -10, 12, -1, 19, 6, -1, 10, 21, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9953", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[14, -23, 19, 10, 17, 20, -17, -8, 13, 7, 22],\n [-13, -14, -23, -10, 6, -6, 9, -6, 4, -10, 14],\n [19, 11, 7, 0, 21, 22, -10, 3, 9, 5, 1],\n [2, 0, 0, -8, 19, 19, -21, -21, 4, -19, -17],\n [-15, 3, 10, 9, 8, 13, 18, 0, -13, -7, -16],\n [-15, 4, 10, -22, 11, 4, 6, -16, 17, 4, 19],\n [5, 17, 15, 16, -3, -15, -13, 13, 22, 17, -2],\n [18, -3, 7, 0, -7, 13, -5, 21, -16, 22, 3],\n [15, 9, -10, 9, 8, 8, 11, 18, -5, -12, -20],\n [-5, -8, -19, 13, 12, -1, -7, 5, 25, -2, 6],\n [5, 22, 3, 8, -22, 18, 17, 24, 15, 2, -5]]\nB =\n[[-24, 21, -4, -10, 12, 18, -20, -9, -9, 1, -20],\n [-22, -22, -3, -4, 25, -2, -21, 10, -23, 11, 19],\n [-14, -3, -10, 24, 10, -18, -24, 3, -2, 8, 17],\n [10, -19, -12, -3, 17, -20, -25, 11, 18, -8, 10],\n [17, 1, 2, -11, -19, -25, 8, -22, 6, 17, 20],\n [-6, -17, -20, 25, 15, -5, 14, -10, -25, 18, 10],\n [14, 22, -8, 18, 14, -17, 21, -5, -17, -14, 11],\n [-2, -21, -13, 9, 10, 0, 23, 24, 5, 18, -5],\n [-3, -15, 14, -19, 10, 22, 25, -7, -5, 4, -19],\n [-16, -5, -3, 23, 1, -11, 13, 19, 3, 3, -10],\n [4, -19, 2, -5, 4, -24, -12, 10, 24, -22, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1492", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, 17, -24, -6, -20, 6, 13, -8, 5, -21, -13],\n [-25, -20, 13, 8, -10, 0, -13, -22, 10, -16, -16],\n [20, 1, -11, 9, 0, 8, 1, -22, 21, -14, 16],\n [15, -3, 16, 4, 7, -10, 16, 2, -22, -3, -20],\n [-9, 7, -19, 11, 3, -23, -7, 21, 4, 15, 12],\n [25, 6, -21, -8, 22, 24, -5, -8, 25, -25, -13],\n [14, -14, 15, 0, 10, -6, -11, 22, -25, 20, -13],\n [-1, -15, 23, 1, 24, -9, -4, 3, 21, 12, -14],\n [13, 18, 18, 15, -16, 19, 6, -14, -24, 22, -24],\n [25, -7, 14, 25, 10, 20, -20, -11, -20, 17, -24]]\nB =\n[[12, 14, -13, -4, -13, 12, -12, 16, -12, -9, 20],\n [-6, -23, 16, 1, -21, 1, 11, -1, -20, -24, 11],\n [14, -11, -16, -4, -16, 25, 10, 4, -4, -24, 8],\n [2, -22, 25, 23, -5, 19, -9, 15, -6, 18, 6],\n [14, 17, -17, 23, -23, 7, 20, 18, 13, 10, -12],\n [-19, 18, 16, 2, -11, 24, 4, 1, -23, -16, 12],\n [-9, 18, -4, -9, 3, 19, 10, 4, 6, -2, -24],\n [12, 22, -19, -14, -6, -22, 15, 15, 16, 25, -24],\n [12, 4, -22, -6, -1, 11, 4, 9, -16, -13, -22],\n [-4, 17, -15, 11, -12, 16, -16, -2, 5, 3, -7],\n [21, 12, -24, -1, -4, -25, -18, 15, 13, -24, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9277", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-17, 2, -19, -12, 20, -8, 14, 15, 6, -25, -3],\n [14, -15, 6, 24, -2, -21, 9, -5, -6, 4, -4],\n [-16, -20, -13, 10, -14, -19, -7, 19, 18, -4, -21],\n [-24, -15, 18, -21, 18, -21, -18, -23, -13, -7, -24],\n [-24, 20, 8, 10, -11, -21, 7, -16, 2, -24, 24],\n [12, -14, 25, 22, -20, 6, -22, -16, -3, -21, -16],\n [-12, -21, -21, 15, 10, 20, -16, 8, -12, 22, 9],\n [14, -2, 2, 2, -6, -21, -21, 9, -18, 4, 11],\n [24, 4, 7, 4, 7, 17, -3, 1, 9, 17, -15],\n [-6, -19, -20, 3, 7, -18, 18, -2, -4, 15, 25],\n [-4, 22, -5, -5, -20, -1, 6, 9, -17, -1, 13]]\nB =\n[[-1, 12, 23, -18, 13, 17, 13, 20, 8, 3, 17],\n [20, 20, -24, -6, -3, 5, 19, 18, 1, -5, 25],\n [15, -22, 18, 15, -10, 20, 23, -17, 12, 5, -3],\n [-14, 14, -24, 3, -7, -12, -3, -21, 2, 25, -6],\n [-16, -15, -14, -19, -2, -21, 19, -3, -3, -18, 8],\n [8, 12, 24, 20, -24, 16, -24, -24, 5, 21, 10],\n [-18, 20, -18, 8, -5, 17, -11, -6, -21, -13, -10],\n [12, -23, -25, 14, 21, -20, 13, 25, 24, 1, -25],\n [-2, -13, 4, -4, -25, 3, 0, -18, 11, -3, -3],\n [24, 8, -24, 11, -8, -7, 20, -13, 3, -24, -18],\n [-6, -16, -2, -2, 1, -6, -7, -7, -7, -23, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1744", "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, 11, 4, 13, 11, 19, -2, -3, -16, 0],\n [-10, -25, -19, -13, 10, 13, -5, -6, -6, -16],\n [-25, 19, 18, 1, 7, -12, -7, 1, 15, -2],\n [-15, 5, -14, 0, -5, 8, 12, 11, -23, -1],\n [21, -20, 18, 19, -3, 13, -18, -21, 10, -7],\n [0, 17, 12, 25, 11, -8, -17, 6, -3, 13],\n [-10, -24, -19, -20, 0, -22, 4, 3, 12, 23],\n [21, 13, 22, -25, 7, 0, 25, 2, 3, 10],\n [-23, 13, 18, 19, -13, 18, -24, -17, -21, -24],\n [-2, -1, -21, 6, 4, -12, -9, -16, 8, -7]]\nB =\n[[-6, -14, 11, 16, 0, -15, -16, -17, 1, -16],\n [6, -21, 2, 2, -16, -16, 10, 20, -18, -11],\n [-19, 23, -15, 6, 3, 17, -19, -13, 13, 21],\n [20, 25, 25, 9, 22, 0, -1, 24, -13, 15],\n [-13, 15, -17, 13, 4, 23, -3, -1, 1, -20],\n [-18, 13, 9, 7, 18, -3, 9, -22, -13, -9],\n [14, -14, -12, 12, 6, -25, 21, 9, 7, -16],\n [-12, -16, -25, -2, -18, 17, 12, -8, -21, 14],\n [-11, -21, -4, 1, 8, 9, -1, -24, -3, -5],\n [-21, 1, -8, 8, 10, 20, 12, 1, 25, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52825", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 10) of the product matrix AB given:\nA =\n[[-11, -1, -7, -9, 7, -25, 1, -16, 13, -16, 6],\n [-5, -18, -17, 24, 10, -8, -21, 20, -4, -12, 6],\n [22, 6, -14, -21, 2, 2, 3, 24, 8, -9, -12],\n [14, -10, -5, 1, -12, 18, -24, -19, -7, -4, -8],\n [3, -2, -18, 9, 9, 17, 10, 12, -16, 24, 23],\n [16, 6, 10, 4, -11, -10, 12, -3, -11, -20, -19],\n [-11, -2, -23, 22, -12, -5, -17, 15, 22, 17, -14],\n [25, -2, 18, 15, -6, 9, 9, 8, 2, 23, -21],\n [22, 21, -8, -17, -20, -19, 21, -25, 4, -4, 7],\n [10, 23, -21, 21, 1, 24, 19, -6, 8, 10, -5],\n [-11, -8, 23, -4, 13, 24, -20, 19, -10, 20, 2]]\nB =\n[[4, 12, 21, -16, -16, -23, 15, 21, -8, -4, 3],\n [-18, -18, -23, 4, -16, -18, -19, 12, 13, -7, -12],\n [24, 7, 21, 2, -6, 14, 18, -25, 0, -16, 6],\n [23, 6, -6, 10, 4, 8, 7, -12, -4, 2, 4],\n [23, 21, -18, 2, -5, -17, 19, -10, 2, -25, 11],\n [24, -21, -14, -16, -8, -11, 19, -24, -10, 14, -17],\n [3, -10, -14, -12, 14, 12, 7, 20, -1, -3, -19],\n [21, 7, -19, -5, -15, -8, -15, -5, 25, 19, -7],\n [1, -14, -24, -20, 13, -12, 22, -1, 13, -11, -2],\n [-5, 7, -6, 18, 22, -20, -18, 5, -19, 10, 2],\n [11, 8, 24, -2, 10, -20, -2, -14, 23, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "239", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -4, 3, -7, -4, 22, -15, 10, -7, 25, -22],\n [-11, -20, -5, -25, -22, -10, 3, 0, 6, -6, -25],\n [-9, -22, 10, 10, -6, -8, 13, -22, -13, 19, 25],\n [0, 25, -17, -5, -10, 0, 12, 4, 0, 8, -6],\n [-3, 15, 6, 4, 0, 17, -2, 18, -23, -2, 15],\n [5, -4, -4, -17, -3, -3, -6, 1, 1, 3, -22],\n [-11, -19, -6, -17, 22, 3, -15, -24, -2, -24, 15],\n [-14, -4, -21, -10, -19, 17, -18, 25, -6, 20, 1],\n [-9, -8, -9, -14, 5, 22, 8, 21, -23, -20, -18],\n [17, -10, -10, 3, -6, -10, -16, -3, 7, 4, -7],\n [-17, 7, -1, 23, -22, 11, 14, -6, 13, -19, 13]]\nB =\n[[-20, 17, -19, -20, -24, -15, 17, -2, -20, 20],\n [25, 24, -2, -24, 14, -11, -19, 0, 7, 8],\n [-15, -3, -1, -14, -3, 7, 16, -5, -17, 15],\n [-12, 1, -17, 18, 19, 1, -16, 21, -22, 13],\n [-24, 14, -2, 10, 20, -16, 11, -4, -7, -21],\n [20, 3, 6, 16, -10, -23, 7, 14, -15, 14],\n [-17, 2, 3, 3, 13, 15, 11, 10, -10, 11],\n [8, 11, 23, 23, 3, -3, 18, 16, 20, 19],\n [-3, 16, 23, 10, -13, 25, -11, 1, -20, -25],\n [-25, -23, -18, 24, 17, 5, 17, 6, 20, 1],\n [-10, 25, 25, 22, -10, 14, 7, 19, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6472", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-19, 3, 14, 17, 2, 13, -10, -24, 3, 10],\n [-21, -13, -20, 23, 25, -18, -17, -9, -24, 9],\n [-16, 8, -22, 9, 23, 13, -2, 24, -7, -19],\n [4, -3, -20, -21, 1, 24, -4, -13, -15, -5],\n [6, 21, -20, -14, 12, -19, -15, 2, 3, 14],\n [1, 6, -17, 14, -6, -3, 18, 11, 6, 24],\n [25, -24, 18, -17, 25, -14, 8, -7, 1, -23],\n [14, 12, 22, -7, -25, 5, -12, 7, 3, -15],\n [11, 20, -5, -20, 15, -7, -12, 23, 13, -8],\n [20, -24, 12, -6, -24, 24, -23, 13, -8, -5]]\nB =\n[[4, -3, -17, -23, 0, -6, 18, -3, 24, 23],\n [7, 11, -3, 12, 11, -21, -12, 24, 12, -3],\n [13, 22, 20, -14, -9, -13, -10, 1, -2, 11],\n [24, -17, -9, 17, -3, -14, -22, 25, -21, 5],\n [-19, -15, 24, -14, 12, -25, -18, -9, -5, -22],\n [23, 2, 11, 5, -4, -17, 22, 0, 19, 7],\n [10, 11, -2, -22, -17, -11, 7, -21, 0, -23],\n [6, 16, 22, -5, -25, 0, 1, 10, 21, 7],\n [-5, 4, 18, -5, -10, 11, -17, 3, -6, -18],\n [-12, 21, 12, 15, 16, -19, 15, -9, -16, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3253", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[25, -1, -3, 18, 14, 20, 10, 15, 24, -8],\n [16, 4, 13, -20, -11, -2, 3, 16, 19, -10],\n [-17, -20, -12, -9, -15, 2, -19, 7, 3, 3],\n [-24, 4, -7, 18, 18, 23, -16, -25, 24, 9],\n [-9, 8, 8, 11, 24, -10, -21, -13, -25, -10],\n [-18, -20, 17, 18, -13, -17, 13, 24, 8, -17],\n [-24, -14, 20, -21, -3, -18, 4, -14, -23, 24],\n [4, -6, 13, 6, 21, 23, 13, -1, 8, -12],\n [10, 17, 6, 12, -13, 17, -14, 7, 7, 15],\n [15, 16, 11, -22, 19, 24, -10, 21, 20, -8]]\nB =\n[[2, -21, -18, 12, 17, 24, 17, -9, -7, 15, 15],\n [7, -4, 0, -11, 7, -16, -21, -10, 15, 23, -17],\n [4, -11, 12, -4, -23, -8, -4, 21, 6, 10, -21],\n [22, -25, 22, 2, -20, -3, -3, 21, -25, -11, 23],\n [-17, -12, 22, 19, 0, -9, -6, 12, 11, 16, -19],\n [2, 5, 10, -23, 8, -21, 4, -18, -19, -12, -9],\n [-11, -19, -17, -21, 8, 5, 22, 11, -3, 10, 5],\n [-6, -6, 20, -19, 4, -15, 8, 11, 22, -25, 12],\n [17, 16, 22, 7, 22, -6, 14, -15, -24, -22, 8],\n [12, -4, 18, 6, 6, -4, -21, -21, 2, -12, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67177", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-21, -5, 21, -23, -14, 7, -7, 14, -19, -14, 20],\n [-15, -11, 11, -4, 5, -23, -21, 7, -12, -15, -6],\n [17, 5, -10, -17, 25, -21, -8, -6, 2, -7, -13],\n [-8, -8, -13, -15, -21, 10, -14, -7, -5, -21, 7],\n [16, -25, -15, 16, 9, -21, -1, -15, -4, -20, 14],\n [-25, 20, -13, -7, -4, 3, 4, -23, -19, 3, -20],\n [16, -16, 5, -18, -20, -19, -20, -7, 1, -24, 25],\n [23, 20, -4, 13, 10, 7, -14, 3, -17, 15, -3],\n [0, 2, -18, -15, -15, 5, 24, -13, 17, -10, -15],\n [16, 12, 22, 7, 25, 9, -8, 5, 5, 22, -15],\n [12, -19, 4, -8, 12, -7, -9, 0, -6, -23, 17]]\nB =\n[[-17, -4, 8, 8, -7, 12, -22, -23, 0, -24],\n [22, -7, -4, -20, 15, 6, 12, -21, -8, 25],\n [12, 9, 13, 18, 13, -6, -10, -12, 13, 13],\n [-2, -18, 17, 16, -4, 25, 9, -20, -24, -25],\n [24, -11, 24, 3, -18, 18, 8, -14, 0, 22],\n [-8, -18, 25, 13, 17, 12, 14, -17, 13, 16],\n [6, -16, 10, 25, 24, 25, -2, 20, -18, -1],\n [0, -14, 0, 9, 20, 18, 23, -2, -10, 15],\n [18, 12, 25, -20, 14, 13, -8, 10, -13, 8],\n [13, -4, -19, 20, -8, -5, 1, -18, 24, 6],\n [-21, -12, 23, -24, 13, -2, -13, -4, -15, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16724", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 9) when matrix A is multiplied by matrix B?\nA =\n[[-7, 18, 4, -22, 25, 2, -15, 16, 23, -22, -10],\n [0, 2, 5, -19, -10, 20, 22, 23, 1, 12, 22],\n [-13, -4, 11, -3, -7, -20, -14, -15, 20, -14, -18],\n [-15, -16, 3, -11, 19, 8, -25, 13, -20, 19, 3],\n [1, 8, 20, 22, -13, 13, -8, -12, -5, 6, 5],\n [10, 20, 3, -2, 3, -16, 10, -23, -2, 11, -4],\n [-12, -24, -4, -2, -8, -8, 10, 4, 11, -24, -7],\n [10, 12, -13, -11, 0, -2, 7, -23, 17, 14, 11],\n [-17, -11, -1, 16, 23, 13, 14, 5, 23, -9, 0],\n [19, 12, 22, 5, 21, 19, -11, -19, 19, -6, -16],\n [-21, 20, -10, 19, -17, 22, 5, 21, 17, -23, 17]]\nB =\n[[19, -25, 24, 0, 1, 3, 20, 6, 24, 2],\n [4, 0, -4, -2, 19, 0, -19, 19, -25, 14],\n [-3, -24, 16, -15, -19, -12, -13, -25, 15, 1],\n [-23, 11, 1, 14, -12, 24, 3, -6, 11, 15],\n [-8, -4, 4, -14, 8, 0, 10, 10, 22, -8],\n [-1, -21, 1, 11, -14, 13, -4, -15, -16, 10],\n [12, -8, 17, 18, -15, -10, -1, -23, -24, 1],\n [20, -15, -20, 2, -23, 18, -11, -20, -11, 10],\n [-9, 23, 4, 14, -20, 23, -15, 11, 20, -18],\n [-9, -25, -25, 13, 4, -6, 17, -3, 18, 18],\n [5, -3, -21, 19, -20, 21, 10, -9, 21, 21]]\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 (7, 10) of the result:\nA =\n[[11, 1, -16, 2, 15, -24, -19, -18, 10, 7],\n [-25, 5, -14, -2, -10, -9, 20, 25, -15, 9],\n [-1, 10, -22, -13, 11, 13, -22, 19, -22, -18],\n [21, -17, 22, 18, -12, -22, 10, -3, 12, -6],\n [4, 5, 24, -24, -10, -15, -6, 19, -20, 12],\n [0, -4, 23, -11, -21, 20, -21, 20, 13, -18],\n [-17, 2, 22, -2, -10, 14, -6, -14, -14, 1],\n [8, 0, 15, 12, 5, 3, -9, 21, -13, 3],\n [-8, 13, -17, -7, 4, -21, -18, -15, 24, -17],\n [1, -13, 15, 20, -4, -15, -7, -2, 23, 3]]\nB =\n[[-1, 3, -18, -13, 19, -16, -12, 21, -2, -10, 17],\n [-15, 24, 25, 4, -24, 8, 14, 17, -11, 10, -13],\n [-21, 9, 23, 17, 4, -5, -18, -19, -14, 23, -11],\n [-7, 13, -25, 4, 16, -9, 19, -2, 11, 3, 15],\n [1, 17, 2, -15, 14, -21, 20, -7, 16, 24, 21],\n [2, 24, 19, 2, -19, 23, 15, 10, 1, -4, -15],\n [21, -16, 14, -2, 11, -2, 7, -13, 11, -19, -6],\n [0, 16, -2, 3, 0, 6, 14, 14, 25, -9, 7],\n [9, 13, 16, 5, 21, -6, 17, 17, -10, -20, -14],\n [13, -9, -25, -18, -19, 25, -16, -2, 0, -23, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "891", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 8) of the result:\nA =\n[[8, -3, 9, -11, -25, -17, -17, 6, 22, 23],\n [-7, 1, 1, -15, 14, 1, -4, -12, -4, -20],\n [0, 18, -23, -24, 12, 9, -2, -3, -14, -22],\n [4, -14, 5, -12, 6, 23, 20, 5, -25, 11],\n [-5, 19, 17, -19, -10, -8, -5, 20, -18, 11],\n [-5, -16, -19, 10, 9, 17, -20, 3, 10, 24],\n [-25, 21, -11, -13, -17, 10, -14, -17, -19, -13],\n [-9, 16, -21, -20, 14, 1, 12, -18, -25, 9],\n [-25, -12, -5, 25, 24, 20, -8, 1, -14, 9],\n [12, 10, -18, 13, 21, -19, -23, -18, 4, 14]]\nB =\n[[14, 17, 2, 17, -22, -23, -7, -7, -5, -21, 18],\n [5, -1, 23, 3, -9, -5, -24, 18, -14, -23, 19],\n [10, 3, 1, -11, -14, 21, 21, 8, -22, -10, 11],\n [11, -16, -8, -9, -19, -23, 11, 15, 8, -5, -19],\n [-3, -22, -3, 4, -15, -1, -15, -16, -22, -20, 6],\n [-22, -17, 17, 22, -16, 2, 23, 24, 21, -13, 6],\n [12, 18, -9, -8, -19, -12, 6, 17, -16, 1, 15],\n [15, -20, -25, 7, -16, 24, -8, 16, -10, 14, -15],\n [18, -7, 2, -25, 12, -2, 5, 21, 5, -15, -13],\n [12, -22, -1, 16, 14, 20, -9, -20, -2, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1106", "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, -11, -8, -1, 25, 16, -12, -19, 3, -24, 13],\n [-22, -18, -18, -3, 2, 8, -22, -2, -18, -25, -10],\n [5, -2, 0, -14, 18, 19, -8, -11, 10, 0, 12],\n [-16, -2, -5, -19, 19, -20, 21, 20, 7, -5, -5],\n [24, -17, 4, 24, 2, 22, -5, -16, -19, -3, 12],\n [-1, -11, 1, -23, 13, -8, -17, -21, -1, -11, -11],\n [-10, 12, -2, 11, -12, 23, 5, 5, 16, 18, -5],\n [-4, 19, -5, 7, 7, 10, 5, -10, 22, 4, -10],\n [-15, 10, 21, 11, 0, 11, -14, 20, 18, -22, -3],\n [7, 11, -3, 6, 17, -7, 24, -6, -19, 21, 24]]\nB =\n[[6, -19, 14, -20, 6, -17, 18, 23, 0, 1],\n [-8, -2, 9, -2, -6, 17, 25, 18, -10, -7],\n [-17, -9, -16, -23, 22, 14, -8, -15, 16, 1],\n [-22, 19, 24, 9, -24, -16, 19, -6, 5, 18],\n [11, 23, -9, 1, -21, -8, -6, -21, 12, 15],\n [-7, 21, -17, 25, -8, 11, 22, -23, 2, 23],\n [-23, -13, -14, 20, -21, -10, 17, 25, -7, -17],\n [1, -16, -1, 19, -14, -17, 1, 12, 0, 7],\n [2, -9, 20, -7, -1, 14, 16, 25, 20, -3],\n [-7, -10, -1, -9, -13, -17, 2, 5, -19, -19],\n [20, 10, -17, -7, -14, 10, 1, 8, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63735", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (10, 6) of the result:\nA =\n[[-4, -5, -19, 12, -19, 5, 11, 18, -12, 6, 0],\n [-18, -12, -11, -9, -8, 22, 0, -10, 12, 12, -21],\n [11, -8, 14, 6, -11, 0, 16, -23, 24, -25, -9],\n [-16, -11, 12, 19, -23, 18, -9, -21, 23, 4, 19],\n [22, -6, -9, -16, -21, -20, 1, 15, -3, 5, -9],\n [21, -20, 12, 13, -25, 18, 11, -14, -21, -23, 13],\n [-23, -22, -21, 16, -3, 10, 14, -17, 18, -10, 5],\n [-6, 6, 3, 16, 24, 22, -16, 23, 11, 0, -20],\n [-16, -8, 23, -11, -5, 22, -14, -12, 8, -4, -1],\n [7, 10, -25, -20, -6, -20, 1, -15, -2, 19, 15],\n [-6, -3, -21, 23, 5, 25, -23, 5, 3, 8, 5]]\nB =\n[[-13, 18, 21, 20, -3, -15, -1, 4, -9, 22],\n [-5, -24, -10, -4, -9, 15, 9, -24, -1, 0],\n [18, 5, 7, -8, 24, 23, -2, -12, -2, 17],\n [14, -21, 0, -24, -14, 9, 17, 9, 3, 6],\n [4, -10, 12, -24, 23, 20, -8, -17, -25, -4],\n [-5, -8, 1, 18, -9, -16, 5, 0, -22, -10],\n [-15, -25, 9, -11, 6, 19, -16, -20, -3, 0],\n [-21, -2, -13, -12, -7, -24, 20, 23, 0, 17],\n [5, 5, -6, 1, 14, -7, 2, 17, 20, -12],\n [15, -20, -14, -19, -10, 13, -7, 9, 5, 12],\n [-18, 16, 20, -16, -9, 12, 4, -6, 11, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 20, -24, -2, 21, 5, -24, 2, 11, 6, -19],\n [-16, 25, -22, -7, -13, 5, 10, 5, -3, 5, -10],\n [-4, -17, -5, 24, -25, 20, -11, -19, 20, 1, 7],\n [-8, -20, -2, 0, -18, 14, -19, 8, 4, 25, -5],\n [-14, -11, -6, 8, 18, -14, -20, 15, 9, 2, -1],\n [13, -21, -2, 3, 3, -14, -18, 25, 21, 20, 22],\n [-24, 14, 20, 22, 24, 5, -24, 23, -9, -5, 15],\n [-14, 21, 14, -23, -23, -1, -2, 14, 5, -23, -16],\n [2, 7, -4, -9, 15, -22, -8, -4, 25, -21, -10],\n [-14, 16, 8, 15, -21, -23, 6, 18, -25, -24, 19]]\nB =\n[[9, -18, 25, -23, -2, 11, -2, -3, -4, -24, -13],\n [-17, -3, -1, -4, 15, 21, 8, -6, 15, -9, 14],\n [2, 15, -11, -12, -17, -20, -4, -25, 12, 6, -1],\n [1, -11, 7, 18, 24, 5, -21, 24, 18, 7, 18],\n [15, -11, 3, 10, -12, -6, 3, -19, -23, -16, -3],\n [10, -1, 6, 19, -10, -14, -7, -18, 16, -24, -20],\n [10, 0, 20, 3, -22, 16, 24, 8, 1, 10, -22],\n [7, 3, -1, 14, 0, 20, -17, 1, 7, -19, 6],\n [-9, -24, -24, 2, 9, -7, 10, 12, -3, -22, 0],\n [-11, 17, -17, 8, 7, -13, -19, -19, 24, 14, -9],\n [25, 0, 12, 9, 19, -22, -10, 24, 14, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4462", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -18, 13, -23, -18, 8, -12, -6, -5, 11],\n [-23, -17, 0, -7, 25, -9, 6, -23, -2, -14],\n [-10, -13, -1, 4, 13, -13, 6, 22, -22, 22],\n [12, -21, 1, -16, -6, 14, 14, -22, -16, -25],\n [-23, -5, 14, -15, 8, 11, -1, -20, -6, -6],\n [12, 14, 22, 8, -19, 21, 22, 3, 21, -24],\n [-22, -9, -5, -23, 15, 24, 0, 17, -5, -6],\n [21, 24, 14, 2, -19, -3, -9, 5, -18, 15],\n [11, -18, -13, -3, -11, -1, -5, 2, -19, 25],\n [-1, -16, 15, 1, -8, 21, 4, 22, 5, -11],\n [22, -11, -22, 10, -20, -4, -22, -3, 5, 0]]\nB =\n[[-15, -5, -12, 1, 24, -16, -18, -22, 19, -19, 3],\n [19, -1, 23, 12, -25, -10, 20, -23, 17, 7, -19],\n [24, 18, 14, -11, -18, -1, -25, -16, 20, -10, -14],\n [-1, -3, -12, -18, -18, 0, -24, 18, -17, 15, -6],\n [12, -3, -12, 12, 21, 2, 5, 24, 2, 8, 20],\n [-24, -23, 11, 5, -10, 3, 19, -19, 18, 19, 16],\n [12, -15, -8, 19, 0, -13, 10, 17, -24, 21, 7],\n [2, -4, 20, -3, -3, 11, 18, 13, 22, 5, -3],\n [-18, 5, -9, 8, 19, -3, 23, 13, 15, 25, -1],\n [2, -11, -5, -20, -18, 7, -5, -5, -16, 14, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67278", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[-17, 4, 2, 4, -3, -2, -16, 12, -7, 16],\n [7, -1, -5, -6, -10, -24, 21, 10, 11, -15],\n [23, -19, -6, 15, -19, -15, 24, 15, 1, 7],\n [-18, -18, -25, 6, 5, -23, -5, -21, 18, 12],\n [-12, 24, -2, 6, -10, 24, -13, -2, -17, 23],\n [-10, 17, 18, 19, 14, -1, -11, 4, 16, -13],\n [18, -5, 12, -11, -25, -10, 3, -3, 23, -7],\n [9, 23, 22, 1, 8, 17, 22, -19, -14, 22],\n [14, 22, -16, -4, 7, -14, 2, -5, 14, 12],\n [23, -11, 6, -20, 7, -7, 24, 8, 4, 1],\n [0, -3, 2, -22, -15, -5, -17, 21, -14, 12]]\nB =\n[[-25, -14, -3, 15, -20, 6, 25, 25, 13, 2],\n [-16, -10, -6, -4, 16, -2, 4, -12, 0, -18],\n [0, 21, -4, 22, 14, -14, -17, 4, 11, -8],\n [14, 9, -6, -14, 15, 20, 18, 11, 18, 13],\n [4, -23, 24, -18, 16, 2, 13, -25, -9, -11],\n [-9, -14, 14, -7, -1, 19, 12, -23, -2, -23],\n [19, 17, -14, -18, 24, 25, 6, -4, -12, -10],\n [-3, -12, 23, -10, 8, 17, -8, 9, -1, -12],\n [10, 14, -23, -24, 12, 16, -4, -1, 0, -18],\n [1, -1, 12, 3, 15, -7, -20, 18, -25, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[18, 4, -10, -8, -11, 25, 11, 3, -10, -10],\n [-5, 20, -2, 20, 9, 18, 17, -11, 10, -11],\n [-11, 20, 12, -5, -25, -1, 15, -1, 25, -8],\n [-22, 19, -3, -1, 4, 5, -4, -12, 23, 20],\n [2, 12, 8, -9, -14, 22, 18, 10, 11, 7],\n [-23, 4, 18, -1, 22, -17, -24, -12, 20, 16],\n [-2, 15, 3, -3, 22, -13, 0, -4, 14, -3],\n [5, 4, 0, 12, 25, -21, 20, -20, -25, -6],\n [1, 7, -5, -15, 20, -25, 17, 24, -12, -7],\n [-23, -11, 3, 22, -25, -8, 4, -16, 1, -23],\n [-10, -16, -18, 17, 2, 13, 3, 15, -13, 23]]\nB =\n[[0, 23, -22, 8, -8, -4, -15, -17, 8, 15, -8],\n [-4, 15, -16, 2, -3, -23, -19, -18, 6, 18, -25],\n [-1, 0, 9, -13, 2, -15, -14, 25, 17, 2, -1],\n [3, -25, 14, -3, 25, -1, -9, -19, 16, 4, -20],\n [5, -18, 3, 18, -1, -17, 5, 20, 25, 20, 12],\n [3, -10, 11, -18, -21, 10, -8, -23, 8, -21, -18],\n [11, -14, -8, 1, -19, 17, 21, -7, 14, 24, -8],\n [10, -18, 3, -8, -21, -21, 15, -1, -25, 19, -15],\n [-12, 15, 20, 25, -17, 23, 21, -21, -2, -20, -9],\n [-15, 4, -14, -11, -12, -18, 22, 22, -13, 2, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1900", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 23, 0, 15, 14, 14, -3, -11, 2, -25, -8],\n [23, -17, -24, 24, -13, -12, -17, 0, 6, -23, -8],\n [-5, 5, -2, 8, 16, -21, 6, -5, 20, 1, 7],\n [-23, -7, -25, 19, -22, 1, 16, -3, -22, -6, -14],\n [5, -17, -13, 8, 7, 14, 20, 4, 21, 20, -4],\n [-19, 25, 10, -9, -17, 17, -22, 12, 2, 6, -8],\n [-21, -24, -15, 4, 18, 1, 22, -11, -2, -7, 14],\n [-25, 2, -18, -4, -1, -8, -17, -18, 17, -4, -24],\n [11, 9, -20, -15, -3, 17, -11, -7, 25, 16, -2],\n [-16, 14, 7, -8, 19, -8, 19, -7, -2, -1, 14],\n [-17, 9, 2, 2, -13, 15, 6, -3, -8, -14, 0]]\nB =\n[[-5, -17, 20, -5, 16, 21, -3, 15, -20, 3],\n [-25, -17, -23, -17, -2, 18, 2, 0, -10, -19],\n [-9, 22, 11, 12, 8, -7, -18, 23, -3, -10],\n [-12, -8, 23, -1, -10, -11, 18, 25, -1, 6],\n [-1, -1, 10, -18, 10, 14, -10, -10, -20, 12],\n [-12, -5, -1, 18, 2, -20, 11, -16, 20, -19],\n [-15, -14, -17, 21, -21, 0, 1, 15, 16, 21],\n [14, -12, 23, -9, -18, -25, 16, 6, -20, 6],\n [20, -21, -5, 21, 3, 1, -12, 11, 15, 9],\n [22, -1, 24, -2, 1, -19, 0, -25, 2, -5],\n [11, -10, -20, -5, -24, -10, -11, -10, 6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-534", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-22, -5, 1, -2, -20, 8, 12, 17, -8, -5],\n [-11, 4, 15, -20, 11, -11, -8, -16, -23, 1],\n [-2, -22, -15, 4, 24, -25, -18, -15, 9, -11],\n [22, -17, 18, 14, -14, -12, -20, -13, -7, -19],\n [-10, 3, 10, 23, -24, 7, 6, 23, -25, -24],\n [20, 14, 12, 4, 1, -8, 14, -22, -10, 14],\n [6, -4, 5, 18, -11, 17, -2, -17, -23, -23],\n [8, -24, 14, 5, 1, 15, -9, -16, 12, -1],\n [-15, 11, 3, -15, 9, 24, 5, 2, -13, 7],\n [-12, 5, 1, 5, 10, -14, 19, 5, -24, -23]]\nB =\n[[17, 5, 2, 8, 6, -10, 20, 14, -9, 23],\n [-7, 14, 11, 2, 6, -23, 7, -6, 9, 9],\n [-1, 0, 20, 12, 1, -8, 0, -12, -19, 25],\n [-9, -16, -16, -15, -10, 23, -20, 10, 12, 2],\n [11, 17, -1, 8, 18, -1, -25, 22, 25, 21],\n [9, 11, 20, -15, 8, 4, -25, 3, 3, -17],\n [25, -7, -4, -10, -4, 10, 17, 19, -24, -6],\n [-21, 2, -6, 1, -10, 13, 12, -5, 10, 5],\n [9, 15, 2, 15, 16, -15, 7, 19, 25, -19],\n [-22, -13, 7, -5, 14, -17, 25, 25, 13, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56016", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 9) when matrix A is multiplied by matrix B?\nA =\n[[8, 20, -15, -3, 3, 10, -1, -1, 22, -13],\n [-20, -19, -6, -20, -19, -23, 7, -9, 9, 13],\n [16, -21, 25, 9, -18, 23, 12, 12, -5, 10],\n [9, -6, -12, 19, 12, 20, -12, -7, -20, 25],\n [20, 4, -23, -23, 25, 8, 17, -23, 3, -5],\n [-5, -23, 11, -9, -4, -16, 18, 25, -18, 16],\n [24, -14, -14, -12, -9, -9, 4, 18, -13, -20],\n [-7, 0, -13, 4, 12, 24, -3, -21, 22, -15],\n [-3, -9, 15, -6, 4, -13, -7, 5, -19, 19],\n [-22, -18, -14, -10, -17, 24, -17, -4, 2, -13],\n [20, -25, 9, 16, -2, 1, 1, 11, 1, 8]]\nB =\n[[-18, 8, -5, 9, -9, -3, -18, -10, 5, 18],\n [-14, 4, -2, 5, 25, 16, -14, 18, -4, -9],\n [-22, 7, -1, -11, 15, -7, -10, 4, -17, -4],\n [7, 9, 22, -18, 18, 13, 12, 15, 20, -10],\n [25, 12, -19, -11, 21, 11, -1, 21, -17, 2],\n [-14, 18, 16, 21, -10, -6, 18, 2, -22, 18],\n [-8, -9, 8, -16, 4, 6, 3, -13, 25, -17],\n [-20, -6, -3, -22, -15, 7, -6, -2, 22, -24],\n [-15, 14, -6, 7, -24, 13, -7, -13, -13, -21],\n [8, 12, 22, 2, -17, -23, -3, 15, 23, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1634", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 24, 21, -11, 8, -5, 14, -17, -8, -11],\n [14, 16, 9, 18, -16, 23, -19, -3, 14, 7],\n [-13, -25, -9, -4, -3, 18, 1, -23, 19, -5],\n [-7, 5, 24, -8, 9, 12, 1, 9, 5, 7],\n [-6, -1, -6, -13, -3, 2, -6, -5, 12, -23],\n [-4, 17, 8, -16, 24, -9, -7, -21, -21, 8],\n [21, 7, -11, 21, -24, 10, -4, -20, 1, 16],\n [12, 3, -10, 9, 15, 16, -20, 8, 17, 15],\n [8, 25, -1, 2, 12, 20, 16, -13, -13, 13],\n [9, -23, 10, 25, 3, -4, -19, -21, 25, 17],\n [12, -16, -25, -18, -4, 25, -4, -11, 13, 4]]\nB =\n[[-8, -20, -14, 13, 20, -24, -20, -4, 18, -22],\n [-11, 11, 24, 7, 4, 15, -8, 14, -12, 17],\n [25, 17, -6, 10, 22, 23, -5, 11, 2, -9],\n [9, -8, 0, 14, 4, -23, 6, 19, -11, -21],\n [0, 6, 23, 23, 14, 20, -2, 19, -5, 17],\n [-17, 0, -3, 0, 3, 18, -14, -5, -22, 11],\n [-20, -7, 22, 11, -21, 3, -7, -18, -19, -13],\n [2, 4, 16, 8, -7, -11, -21, -21, -13, 14],\n [12, 12, -14, 16, 24, -25, 7, -5, -22, -25],\n [9, 16, -2, -5, 11, -8, 18, -23, 3, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4268", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[23, -2, -20, 0, 8, 15, 20, -3, 22, 13, 17],\n [16, 8, 12, 16, -6, 3, 6, -6, -18, -2, -19],\n [0, -8, 12, 21, 15, -14, 24, -2, -18, -17, -17],\n [-7, 25, -10, 8, -25, 21, 21, -6, 24, 2, 2],\n [-5, 12, -15, -2, -14, 0, 12, -17, 20, -22, -22],\n [22, -11, 20, 10, -16, 2, 13, -16, 16, -10, -12],\n [21, -22, 10, 13, 16, 16, -18, -3, 12, 24, 15],\n [-10, 1, 19, -2, -4, 1, -2, -15, -10, 22, 2],\n [-15, -6, 7, -19, -16, 13, 19, -5, 22, 16, -23],\n [-21, 12, -25, 10, -14, 5, 15, 0, 8, 19, 13]]\nB =\n[[19, -10, -2, 17, 10, -21, -25, 16, -5, -16, -18],\n [-6, 9, 4, 24, -8, 19, 19, 21, 2, 1, 4],\n [11, 9, -7, 16, 15, 12, -22, -23, -16, -15, 19],\n [2, 14, -22, 24, 13, -23, 8, 21, -5, -1, 19],\n [-23, -9, -9, -3, -9, -5, -11, 25, -8, -3, -9],\n [-13, 24, -11, 17, -7, -14, -1, 20, -16, -13, -24],\n [23, 20, -8, 8, 8, -5, 17, -17, -7, -16, 8],\n [-12, 20, -18, 11, 7, 8, -10, -13, 13, 1, 13],\n [7, 7, -22, 11, -1, -15, -15, -4, -12, 13, -24],\n [8, -15, 19, -21, 25, 1, -8, 6, -23, 24, -3],\n [-18, 20, -16, -19, 2, 12, -2, -2, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3230", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 1) of the result:\nA =\n[[13, -23, 10, 12, 21, 0, -11, -22, -14, -21],\n [-8, -22, -23, 12, -9, -1, -3, -17, 15, -22],\n [-4, 13, 3, 24, 24, -14, 20, 4, -8, -10],\n [13, 4, 19, 17, -5, -4, 22, -1, 4, -20],\n [19, 3, -19, 3, 21, 9, 25, -17, -9, 24],\n [-5, -5, 20, -9, -7, -1, 7, 3, -1, 22],\n [4, -19, 8, 3, 15, -17, 23, 7, 11, 24],\n [-21, 11, 4, -11, 9, 6, 7, -11, -4, -25],\n [23, 8, 11, -16, -22, -9, 22, -23, 18, 24],\n [-25, -6, -10, -6, 25, -21, 20, 13, 17, -15],\n [-2, -16, 11, -10, -12, 25, -17, 5, -2, 11]]\nB =\n[[-16, -3, -23, 20, -24, 0, 24, 13, -21, 14],\n [-5, 13, 18, -16, -19, -11, -14, -1, -8, -19],\n [-23, -8, 3, 13, -13, -13, -21, 25, -3, -20],\n [-1, -12, 2, -7, -12, 20, -11, -5, -11, 0],\n [-9, -8, 10, 14, 3, 3, -7, 8, 24, 5],\n [-16, -10, 10, -20, 2, 24, -22, 8, -5, -25],\n [10, -10, 6, -21, -10, 11, 6, -20, 3, 14],\n [-23, 16, -6, 13, -21, 15, -12, -15, 12, -23],\n [12, -1, 9, -9, 15, 9, -14, 14, -1, -24],\n [2, -5, -22, -22, -7, -14, 1, -10, -13, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[18, -13, -13, 3, -7, -16, -8, -18, 22, 8],\n [-18, -12, 10, 1, 17, -4, 21, -22, 0, -12],\n [-18, 21, 2, 7, -4, -12, -17, -2, 6, -15],\n [12, -11, 14, 22, 24, -20, -8, -18, 8, 12],\n [-1, -15, 3, 1, -21, -17, 10, -3, -13, 10],\n [14, -5, 18, -17, -24, -1, -25, -18, 6, 6],\n [-5, -4, -24, 17, -16, -25, 19, 17, 18, -16],\n [17, 11, -18, -22, 8, 0, 3, -18, -7, -18],\n [-14, -8, -13, 25, -24, 20, -7, -3, -12, 6],\n [-2, -17, 20, 23, -16, 8, 20, -14, -12, -5],\n [18, -3, -25, 13, -9, 21, 7, -11, -23, -2]]\nB =\n[[-9, 12, -15, 0, -13, 17, -14, -10, -11, -7, -7],\n [11, -19, -13, -21, -9, 6, -15, 9, -19, -4, -21],\n [-18, -12, 3, 3, 15, 16, 4, 2, -4, -2, 10],\n [-2, 9, -24, 14, -17, -6, -13, -21, 25, -14, -6],\n [18, -10, 12, -23, -7, 1, -9, -3, -15, 10, 15],\n [-5, -5, 20, 22, 5, -25, 14, 12, 8, -5, -11],\n [0, -21, 19, 25, 25, 11, -16, 22, -5, -19, 3],\n [-16, -14, 4, -23, -16, -25, -5, -25, -3, 0, -6],\n [-12, -10, -9, -13, -5, -1, 4, -20, -9, -4, -2],\n [18, -21, -2, -10, 9, 16, 25, 7, -8, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (9, 6) of the product matrix AB given:\nA =\n[[19, -16, -10, 4, 6, -16, -13, -18, 23, -11],\n [-8, 22, -2, -4, 14, -5, -3, 7, -16, 5],\n [3, -1, -22, 14, -8, -5, 3, -17, -12, -8],\n [-7, -17, -8, 8, -16, 11, -14, 6, 20, 14],\n [3, -20, -25, -7, -16, -25, 4, 18, -21, 18],\n [10, -9, -25, -14, -12, 8, -9, -17, -21, -17],\n [20, 4, 15, 9, -8, 18, -5, -23, -12, -15],\n [-1, 11, -16, 20, -5, -10, 12, 6, -22, -25],\n [25, 25, -16, -18, 6, -23, 22, 5, -3, 11],\n [-18, 23, 20, 25, 16, 3, 22, 7, -1, 22]]\nB =\n[[-24, -21, -12, 9, -12, 13, -7, -10, -8, -24, -23],\n [-19, 15, -14, -10, -8, 9, 6, -16, 7, -10, -3],\n [4, 20, -18, -25, -17, 7, -10, -22, 16, 25, -19],\n [4, -23, -19, 0, 14, -2, -10, 8, 24, -18, 22],\n [5, -5, -15, 4, 4, 25, -15, 25, 12, -14, 0],\n [16, 2, -17, -16, -11, 6, -14, -9, 21, -17, -8],\n [3, -19, -1, -13, 23, 11, -14, 19, 9, -4, -11],\n [-19, 12, -20, 19, 11, 23, -20, 25, 24, -7, 7],\n [-21, 21, 7, -5, -11, 1, 4, -21, -3, 20, 15],\n [-5, -25, -17, 8, 6, 22, -20, -3, 13, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1082", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-12, -11, 21, 16, -22, 12, 16, 0, -20, 0, 6],\n [-7, 24, 18, 12, 19, -3, -16, 20, 14, -12, -16],\n [3, -17, -4, -22, -1, 21, -9, 24, 8, 21, 14],\n [-21, -9, -12, -17, 13, 21, -1, 25, 19, 24, 2],\n [20, -25, 12, -20, -22, 18, -8, 9, -10, -21, -22],\n [11, -15, -10, -3, 25, -22, -5, 8, 24, 0, 18],\n [13, 1, -14, -6, 19, 10, 19, 11, 14, -2, -7],\n [-8, 17, -20, -11, 12, 11, -1, 24, 8, 7, 1],\n [-17, 7, 15, -9, 10, 22, -23, 4, 14, -10, -5],\n [17, 13, -17, 19, -20, 4, 20, 20, -2, -16, 8]]\nB =\n[[15, 13, 6, 0, 2, -21, -23, -19, -4, 4],\n [2, -2, -1, 8, 1, 19, -18, 17, 6, 14],\n [21, 19, -12, -24, 14, -2, 17, -23, -25, 2],\n [0, -1, 1, -16, 14, -2, 6, 19, 25, -15],\n [-25, 19, -24, -11, -18, -13, 0, 8, -2, -25],\n [-21, 15, 15, -7, -14, -17, -24, -18, 17, -16],\n [3, -3, 1, 21, 11, -10, 17, 6, -13, -20],\n [-3, 10, 25, -2, -15, 4, -11, -9, 4, -4],\n [-11, -23, -5, 12, 21, 25, 25, 20, -17, 20],\n [18, -11, -4, 10, 7, 22, -5, -4, -19, 1],\n [-21, -2, -24, -4, -20, 0, 23, -23, -22, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2821", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[22, 18, -13, 11, -7, 8, 19, 12, 23, 18],\n [-18, -16, -5, -7, 24, -15, -17, 20, 18, -6],\n [21, 19, 12, -16, -25, 3, 5, 17, 0, -6],\n [24, -20, 22, 5, -14, -9, 22, -2, -20, -7],\n [23, 15, 20, 25, 8, -23, 12, -9, -7, -22],\n [-13, -17, 4, -22, -2, -11, -17, -6, 24, 5],\n [6, -19, 10, -21, -24, -17, 0, -9, 6, 4],\n [-21, 17, -6, 24, 22, -20, -18, 6, -14, 0],\n [-6, 14, 14, -13, -2, 8, -18, -10, -5, -4],\n [5, -5, -15, -5, 18, -2, -9, -21, -15, -18]]\nB =\n[[-20, -17, 3, 13, -20, -20, -6, 1, -11, -2],\n [-18, 8, -1, -23, -14, 3, 24, -17, -7, 16],\n [-1, 8, 3, -3, 12, -7, 22, -11, 25, 24],\n [-16, -13, 12, -21, 19, -10, 2, 4, -17, -15],\n [-1, 11, -8, 25, -14, -24, -25, -9, -2, 11],\n [10, 3, 18, -6, 25, 20, 20, -18, -18, 22],\n [-4, -1, -17, -9, -9, -3, -2, 16, -23, -11],\n [19, -24, 11, -16, 5, -13, -13, 1, -22, -6],\n [-8, 22, -25, 17, 7, 21, 17, -8, 0, -10],\n [17, 8, 18, -13, -25, 25, 18, 12, -18, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1628", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 4) of the product of the following matrices:\nA =\n[[2, 22, -7, -1, -5, 12, -7, 14, -11, -3, 5],\n [9, 9, -18, -14, 25, 4, 16, 25, -8, 19, 5],\n [5, 20, 21, -15, -1, -8, -10, 18, 24, -19, -11],\n [-9, 25, -14, -15, -16, 3, 6, 22, -8, -5, 16],\n [2, -12, 2, 22, 25, 21, -10, -13, 4, 22, 11],\n [-7, -8, -20, 0, 3, -6, 11, -14, 24, 14, 2],\n [-8, -20, -24, -17, 4, -14, -21, 13, 23, -24, 12],\n [-18, 23, 23, -20, -15, 5, -16, 11, 22, -4, 7],\n [-17, 10, -3, 21, 5, -5, -23, -15, 4, -1, 2],\n [19, -1, -9, -3, 10, 19, 23, 13, -24, -15, -14],\n [-22, -5, 12, -21, -24, 9, 9, 0, -12, 15, -3]]\nB =\n[[7, -13, -1, -8, -5, 12, 24, -1, 24, -14],\n [5, -14, 5, -23, 8, 1, 21, -5, -5, -25],\n [3, -11, 4, -21, -3, 20, 12, -24, -22, -24],\n [0, 7, 21, 2, -23, 4, 13, -17, -6, 14],\n [-9, 15, -6, -12, -12, 17, -23, -16, -23, -12],\n [-17, 7, 7, -10, -19, -6, 2, 18, 4, 0],\n [22, 13, 0, 13, -16, 12, -8, 2, 15, -18],\n [14, -22, -11, -5, -11, 25, 20, -14, -21, -23],\n [-19, -16, -24, -15, 8, 19, -5, -23, 16, -3],\n [24, -14, 7, -22, -20, 23, -4, -17, 6, -25],\n [12, 17, 10, -21, 9, 20, -6, 4, -25, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "962", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[22, 25, 10, 24, 1, -11, -24, -17, 14, 6, -21],\n [9, -17, 21, -18, -23, -23, -23, 7, -7, 22, 6],\n [4, 17, -11, 4, -18, -22, -23, 3, -4, 17, -2],\n [-19, 16, 24, 24, -14, 10, -23, -13, 6, -17, 4],\n [5, 17, -20, -14, -3, 21, -10, 25, -10, -5, 10],\n [-12, -20, -18, -25, -6, 0, -18, -20, -20, 15, 1],\n [-9, 3, 23, -5, -22, -24, 11, -6, -25, -17, 5],\n [-22, -22, 19, -19, 13, -2, -11, -9, 8, 5, -17],\n [2, 24, -21, 13, 7, 5, -23, -23, 12, -25, -13],\n [-17, -21, -19, 23, 21, -19, -24, 24, -25, -24, 13]]\nB =\n[[4, 14, -1, -9, 11, -21, -21, 13, -3, 14, -9],\n [-9, 19, -21, 22, 1, 13, -10, 20, -24, 16, 17],\n [13, -21, -15, -24, 23, 5, -25, -10, 7, -8, 2],\n [8, 22, -3, 7, -15, 15, 24, 8, -22, -11, -7],\n [2, 2, -15, -19, 11, -8, -11, -8, -16, 2, -14],\n [14, 19, -10, 4, 9, -23, -8, -15, 10, 16, -23],\n [-18, -24, -9, -25, -11, -16, -9, -23, 18, 2, -9],\n [8, 14, -22, -7, -11, -1, 18, -10, 4, 9, 21],\n [-3, -12, 24, -13, 3, -2, 17, -1, -8, 24, -22],\n [4, -14, 2, -5, 0, -4, 25, 15, 24, -8, 23],\n [4, -17, 21, -5, 3, 11, 8, 15, 9, -6, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -9, -5, 0, 7, 11, 2, 2, -12, 7],\n [1, 6, -6, -14, 14, -21, 4, 13, 1, -4],\n [-17, 4, 4, 5, -20, 10, -23, -13, -17, -20],\n [6, 5, 25, 25, -4, 5, -1, 5, -8, 9],\n [-5, 23, 6, 19, -24, -4, 4, 23, 16, -9],\n [-10, 5, 11, 17, 17, -16, -7, -23, -14, 20],\n [8, -7, 1, -3, -24, 6, -25, 22, 9, 3],\n [-21, -19, -6, 14, -25, -24, 24, -19, -9, 6],\n [-14, 16, 14, 15, 25, -7, 19, 11, -16, 5],\n [-19, 24, -20, 23, 13, -18, 19, 16, -11, 17]]\nB =\n[[-23, 1, 7, 15, 3, -3, 14, 22, 25, 10, 9],\n [13, 20, 2, -2, -10, 9, -24, 7, -6, 16, 11],\n [-20, -23, 0, 6, 4, -4, 25, 0, -21, 14, -2],\n [-2, 0, -11, -19, 4, -6, -19, 11, -24, 5, -21],\n [-17, 15, 14, 12, 21, 25, -2, -22, 12, 11, -20],\n [-4, 24, -25, 4, -18, -2, 1, 8, -2, 1, -22],\n [-3, 0, 6, 10, 13, 25, -21, 23, 15, 17, 12],\n [-2, 4, -15, 4, -22, 18, 8, 17, 20, -25, 15],\n [-5, 20, -12, -19, 22, 14, 10, 17, -19, 8, 23],\n [10, 21, -3, -22, -2, -9, -3, -7, 14, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12116", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[21, 8, -3, -6, 10, 18, -24, -11, -14, 3],\n [21, 10, 2, -16, -17, 14, -10, -16, 10, -10],\n [3, -21, -2, -3, 8, -22, 2, -21, 21, 10],\n [-17, 22, -9, 20, -23, -24, -9, -15, -16, 1],\n [17, 0, 3, -5, -15, -22, 4, 22, 12, -22],\n [-23, 15, -1, -22, -9, -23, -9, 21, -22, -20],\n [3, 10, -12, 23, 6, 23, 21, -21, 25, -25],\n [-4, -6, 25, -1, -2, 19, -23, -4, -15, 9],\n [-14, 24, -7, -17, 2, -10, -9, 10, 15, 6],\n [19, 13, -15, -13, 10, -17, 18, 14, -20, 20],\n [-7, -2, 9, 11, 20, 16, 4, -14, -4, 22]]\nB =\n[[-8, -3, -2, -14, -8, -7, -10, -21, 20, 13],\n [-19, -2, 5, -19, 25, -21, 3, -6, 11, 24],\n [-21, -4, 13, -14, 16, -10, -25, -21, -19, 8],\n [-25, 15, 4, -16, 19, -23, -11, -17, 16, -22],\n [-23, -23, -3, -21, -23, 12, 2, 18, 3, 7],\n [-5, 4, -14, 5, 5, 20, -18, 19, 11, -23],\n [16, -17, 21, -3, 15, -12, 13, 25, -8, -14],\n [15, -12, 1, 18, 7, -8, -25, 6, -6, 10],\n [3, -1, -6, 4, 16, 2, -2, -2, -3, 18],\n [13, -25, 23, 22, 6, -21, -11, -16, 7, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55795", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[-3, 12, -14, 4, -15, 16, 23, -6, 12, -22, 16],\n [-11, -9, -6, -14, 12, -19, -16, 13, 11, -23, 21],\n [3, 12, -2, -9, -23, -17, 0, 21, -12, 24, -19],\n [-13, -3, -22, 11, 3, 7, -5, 22, 24, -7, -21],\n [-11, 20, 14, 13, 16, -22, -2, 24, 19, 23, 21],\n [14, 21, 8, -6, 24, -9, -13, 4, -25, -18, -8],\n [-25, -6, 11, 13, 11, -21, 0, 16, -4, 0, -20],\n [-18, 22, 13, 25, -17, -19, 0, 15, 18, -8, 8],\n [-2, -25, 17, -21, 7, 23, -10, 7, -1, -3, -20],\n [4, -23, -7, 4, 14, -2, 20, 16, 3, -9, 12]]\nB =\n[[15, -1, 20, 20, 18, -25, -10, -14, -15, -16, -23],\n [3, 8, 5, -22, 6, 21, -23, 19, 24, 10, -8],\n [12, -4, 22, 20, -21, 18, -5, -21, 0, -4, -17],\n [-4, 19, -14, 16, -13, 13, -6, -21, -23, -6, -11],\n [2, -21, 25, 4, -12, -25, 20, 17, -19, 2, 3],\n [25, -18, -5, 12, 9, 16, 1, 24, -14, -6, 13],\n [-5, 20, -7, -13, -23, 22, 8, 1, -8, -23, 11],\n [-23, 12, 10, -9, 17, 0, 21, -8, -5, -1, 20],\n [10, 7, 5, -18, 8, 17, 14, 22, -6, 11, 18],\n [17, 0, 22, -1, 3, -2, -15, -19, -20, 23, -2],\n [24, 13, -16, 20, 3, 15, -16, -21, 25, 20, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-13, -1, -15, -22, 7, -10, 24, 13, 15, 21],\n [14, 18, 7, -10, -12, -11, 17, 10, 10, 14],\n [6, -4, 25, 21, -24, -17, 18, 2, 20, 17],\n [-17, 14, 8, -25, 17, 1, -16, 19, -9, -23],\n [-10, -8, 0, 25, -10, -8, 22, -17, -13, 18],\n [1, -14, 4, 6, -21, 8, -14, -2, 7, 16],\n [-24, 23, 10, 24, -20, 15, 6, 8, 0, 7],\n [-24, -12, 11, -11, -9, 2, -4, 15, -6, 2],\n [-7, -7, -22, 20, 21, 17, -19, -13, -14, -16],\n [23, -10, -11, 13, 4, 15, 7, -5, -13, 8],\n [-24, -7, 16, 1, -19, 14, -25, -22, -10, 1]]\nB =\n[[-19, 23, -8, -25, -25, -14, 18, -15, -20, -3],\n [-19, 17, 10, 22, 20, 24, -15, 23, 18, 21],\n [-25, 16, -4, 5, -12, -16, 19, 10, 25, 7],\n [15, -24, -11, -14, -18, 15, 12, -8, -13, 1],\n [2, -23, 18, 4, -1, 11, 1, -11, 12, 24],\n [-15, 6, -19, -9, -17, 13, 4, 24, 8, -23],\n [17, 20, 21, 3, -22, -2, 20, 3, -8, 19],\n [11, 13, -9, 13, -23, -11, -16, 24, 0, 14],\n [-11, 10, -14, 2, -8, -23, 0, 1, 23, -10],\n [20, -6, 1, -7, -22, 13, 16, 23, 13, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71019", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[11, 7, -25, -24, 21, 18, 6, 20, -1, -11, 12],\n [23, 8, 25, -12, 19, 9, 16, 13, -17, 12, 21],\n [5, -10, 15, 8, -3, -8, -16, -17, 23, -5, -7],\n [-15, -19, -22, -8, 20, -9, 3, 2, 9, 2, 15],\n [-22, -14, 1, 4, -22, 11, 21, -15, -25, 23, 1],\n [10, 17, -12, -3, 0, -11, -23, 5, 18, -2, 24],\n [7, 1, -1, 13, -10, -20, -16, 0, -20, -5, 16],\n [-4, 21, -17, 14, 21, -7, 12, 2, -13, -3, 3],\n [-14, -2, -2, -21, 19, -17, 20, 7, 9, -7, 2],\n [-25, 23, 17, 14, 12, 2, -15, -5, -6, -19, -25],\n [23, -5, -19, -10, -15, -4, -12, 12, -24, -6, -22]]\nB =\n[[4, 12, 16, 2, -5, -14, 7, -23, 9, -7, -25],\n [7, 14, 4, -25, -22, 18, -22, -15, -22, 17, -10],\n [-9, 6, -5, 15, 8, 14, -25, -6, -3, -18, -12],\n [13, 21, -17, -16, 24, 14, -17, 20, 10, -5, 15],\n [-10, -3, 9, 3, -7, 5, 5, -9, 0, -9, -15],\n [-13, -23, -8, 20, 11, 3, 2, 0, 9, 0, 9],\n [9, 3, -21, 3, 25, -1, 6, -7, 12, -1, 5],\n [-1, -16, 11, -5, -18, 14, -20, -19, 4, 19, 25],\n [18, -2, -18, -18, 5, 19, 23, 15, -22, 10, 19],\n [-24, 15, -4, -5, 9, 13, 6, -21, -25, 5, 21],\n [0, 0, -3, 15, -9, 9, -7, 19, -23, 22, -21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62423", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 3) when matrix A is multiplied by matrix B?\nA =\n[[3, -1, 2, 3, 17, 9, 23, -17, -16, -10],\n [5, -11, -7, 17, 20, -6, 22, 13, -9, -7],\n [9, 17, 10, 11, 11, 4, -8, 3, 16, -1],\n [-17, 10, 9, 7, -22, 24, -1, 13, -17, 24],\n [-24, 14, -1, 12, -12, -7, 21, -1, 13, 23],\n [17, -24, -16, 17, -23, 1, 15, 4, 9, -8],\n [1, -7, -9, -22, 10, -5, -15, -10, -8, -9],\n [-12, -12, 15, 8, 14, 25, -24, 9, -10, 10],\n [16, 2, -14, 16, 3, -17, -7, -22, -16, 25],\n [-17, 3, 18, 0, 2, -2, 5, -20, 9, 19]]\nB =\n[[-13, 15, 10, 3, 20, 4, -12, -4, 2, -11, -20],\n [14, 16, 22, -12, 18, 14, 2, 4, 4, -25, -18],\n [-3, 11, -13, 19, -2, -4, -25, -22, 19, -6, -9],\n [-16, 23, -9, 17, -8, 9, 25, -6, -13, -18, 9],\n [7, -7, 18, -1, -24, -20, 9, -24, -18, -18, 10],\n [20, 13, 16, 10, -5, -1, 8, 5, -9, 4, -8],\n [3, 20, 25, -4, 11, -7, -10, -22, 12, 10, -25],\n [8, 5, 9, 19, -15, -8, -20, 18, -1, 17, -15],\n [9, -12, 5, 4, -5, 23, -23, -5, -3, -16, 6],\n [8, -15, 1, 3, -23, -2, 1, -10, -11, -7, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 18, -20, -25, -25, 12, -6, -19, 2, -24, 23],\n [-21, -19, -18, 17, 23, 22, 2, 14, -1, 20, -3],\n [-4, -1, -25, 7, 7, 19, -12, -25, 13, -2, -14],\n [-13, -3, -22, 8, 12, 1, 6, 17, 1, -25, -14],\n [-19, 13, -19, 25, -10, 2, 25, 20, 24, 16, 18],\n [8, -17, 15, 11, -4, 24, -14, -19, 18, 0, 11],\n [-20, 1, 1, 3, 8, 10, 5, 3, -4, -19, -17],\n [-8, -14, -7, 9, -23, 17, 6, -18, -24, -16, 9],\n [-15, 2, -10, 25, 24, 15, 11, 5, 1, 6, 22],\n [6, -18, -23, 11, -12, -13, -14, 12, -8, -23, -21],\n [-17, -21, 13, 21, -11, 24, 25, 13, -4, 5, -5]]\nB =\n[[-21, 6, -15, -10, 0, 6, 5, -10, 6, 2, -23],\n [-6, -24, -10, -17, 24, 23, 5, -22, -5, -19, -15],\n [1, 17, -24, 12, 5, -17, -4, 13, -5, 3, 13],\n [-18, 20, 8, -24, -2, 0, 8, 13, 19, 14, -23],\n [-8, 10, -21, 8, -4, -24, 20, -19, 4, 20, -5],\n [22, 14, 2, 8, -21, 6, -6, -10, 16, 21, 3],\n [6, -21, -21, -21, 10, -10, 21, 5, -21, -2, 3],\n [4, 12, -13, 7, -18, 12, 13, -15, 9, -6, 25],\n [-25, 20, -8, 20, 12, 3, 5, -1, 25, -25, -20],\n [-9, -17, -25, -11, -9, 24, 24, -25, 1, 25, -20],\n [-6, -8, -21, -12, 5, -8, 25, -8, 13, -20, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17731", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[12, -23, 3, 13, 13, 10, 15, -5, 14, 20],\n [-22, 11, -25, 21, -11, -6, -16, -6, 11, -5],\n [19, -6, 5, 14, 5, 12, 25, -13, -16, 2],\n [-11, 2, 3, 10, -25, -3, 10, -1, 12, 25],\n [-9, -18, -23, -17, 17, 12, -1, 2, 19, 10],\n [10, -9, -22, 1, -6, 18, -10, 20, 6, -9],\n [8, -8, -23, 23, -15, -14, -1, 11, -9, 18],\n [8, -6, -9, -6, -23, -25, 2, 21, 12, -20],\n [18, -4, -13, 14, -22, 19, -2, -16, 23, 16],\n [-24, -10, -16, -17, 0, -19, -10, -24, 12, 2],\n [0, -12, -18, -15, 7, -13, 13, 25, 20, -20]]\nB =\n[[-7, 2, -2, -2, 9, 23, -19, -17, -25, 25, -20],\n [16, -14, 2, 14, 12, 2, 0, 25, 9, -8, 1],\n [24, -16, 21, -10, -18, 17, -19, -13, 18, 22, 21],\n [-15, 9, -21, 3, -3, 11, -5, 8, 8, -9, 23],\n [24, -13, -21, 5, -9, -2, -9, 22, 20, -10, 0],\n [-5, -15, -2, 24, 5, 12, -22, -20, 8, 20, -3],\n [23, -8, 12, 11, -9, 6, 22, 23, -4, -15, 19],\n [9, -15, -6, -16, 2, 21, 13, 6, -19, -23, -2],\n [-19, -21, 25, -16, -5, -9, -12, 4, -20, 1, 22],\n [-22, 0, -25, 17, 23, -18, 1, -22, 9, 23, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 20, 13, -22, 14, 1, -18, 11, 3, 6, 20],\n [-16, -7, -8, 0, 4, 3, -4, 18, -14, 21, -3],\n [-17, -15, -5, -15, 5, 14, 6, 15, -10, 21, -14],\n [-16, -20, 11, -6, 9, 13, 16, -15, -24, -7, 0],\n [9, 19, -24, -8, 4, -5, -13, 1, -24, 3, 1],\n [-4, 21, 5, 22, -10, -8, -25, 11, 18, -23, -23],\n [-17, -14, 12, 9, 14, -2, 24, 8, -23, 8, 1],\n [-21, 0, 16, 17, -10, -13, 16, 25, 25, -19, 1],\n [0, -23, 18, -15, -21, -14, 8, -1, 5, -10, 15],\n [-6, 5, 11, 18, -8, -10, -21, 24, -3, 6, 25]]\nB =\n[[-7, 17, 25, -3, 19, -21, 4, -22, 13, -23, 25],\n [-3, 23, -13, 24, 4, 14, -4, -17, -16, 14, 14],\n [23, -9, 15, -18, 7, -10, 3, 15, -6, -8, -20],\n [15, 2, 20, -10, -14, -7, -18, 11, 22, -17, 13],\n [15, -9, -10, 10, 24, -5, -8, 1, -7, 4, 2],\n [11, -21, 10, 12, 3, -17, -1, 21, -20, -14, 20],\n [4, 23, 18, -17, 14, -4, 20, 1, -16, 18, -13],\n [-14, 21, -14, 2, 10, -11, -17, -8, 14, 1, -2],\n [8, 21, 22, -17, 3, 22, -8, 2, -5, 9, 23],\n [-3, 3, 11, 10, -16, -6, -15, 12, -5, 5, -13],\n [-8, 20, 2, -20, 0, 10, -22, 6, -24, -4, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10939", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, -23, -18, 14, 3, -4, -1, -18, -17, 6],\n [19, 0, 7, -13, 6, 22, 17, -12, -14, 13],\n [11, 7, -7, -6, 25, 25, -17, 0, 7, -19],\n [-16, 2, -21, 10, -9, 2, -24, -4, 23, 7],\n [-8, -9, -19, 6, 13, 11, 12, 3, 25, 22],\n [-22, 20, -3, -11, -9, -2, 14, 6, -23, 7],\n [17, 21, -9, 11, -1, 18, -12, 19, 2, 16],\n [12, 4, -4, -2, 5, -24, -10, 5, -21, 2],\n [7, 19, -18, 12, -14, -15, 23, -18, -12, 20],\n [-1, 6, -25, 5, -7, 25, 11, 23, -4, -10],\n [-14, -12, -1, -16, -15, -19, 14, 20, 15, 17]]\nB =\n[[11, -19, -18, 14, 21, -14, -21, 6, 24, -7, 4],\n [0, 25, 6, -2, -4, 24, 4, 6, -16, 11, 5],\n [6, -1, -19, -13, 6, 14, -15, -18, -19, 8, -5],\n [18, -22, -25, 18, -6, -12, -19, -16, -14, -10, 7],\n [-25, -13, 22, -5, 4, -12, 6, -7, 17, -10, -6],\n [23, -22, 8, -9, 22, -18, -4, -12, 2, -1, 12],\n [-7, -19, 5, -20, -14, -4, -8, 2, 19, 8, 4],\n [13, -16, 14, 13, -1, -7, 12, 11, -10, 8, 9],\n [9, 23, 15, 14, -10, -21, -14, -12, 22, -25, 18],\n [22, 12, -11, 5, 17, 8, -3, -15, 11, 20, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12179", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-16, -10, 17, -4, -18, 5, 20, -16, 4, -12, -22],\n [-16, -21, 12, 4, -15, -22, 19, 3, 21, 23, 1],\n [18, -2, 11, -11, -22, -12, -13, 18, 12, 8, -21],\n [-20, 13, 23, 25, 21, -24, 11, -14, -4, -22, 15],\n [-11, 20, -6, 6, 5, 9, 17, 23, -2, 23, 2],\n [-6, 3, 14, -20, 0, 15, -10, -12, 3, -3, 15],\n [-15, 6, 9, -25, 17, -13, -19, 23, 14, -19, -12],\n [0, 25, -9, 3, -15, -16, -19, -6, -11, -24, 22],\n [24, -22, 1, 23, -23, -25, -19, 14, 1, 8, -23],\n [-7, 22, -20, 7, -14, -2, 25, -12, -9, 10, -6],\n [-18, 16, 12, -1, -22, 3, 21, -23, 5, 11, -16]]\nB =\n[[-14, 18, -23, 22, -17, -12, -12, 14, -7, -9, 11],\n [-4, 22, -5, 5, 13, -14, 8, 14, -12, -8, 16],\n [22, -16, 6, 20, -3, 12, -16, 18, -8, -22, -23],\n [3, -14, -20, 12, -2, 2, 11, 6, -7, 15, -21],\n [-22, 4, 1, 8, -20, 21, -11, -5, 8, 22, 4],\n [-21, -12, -2, 10, -11, 23, -2, 2, -2, -3, -19],\n [-16, 19, 22, 7, 12, -17, 21, 13, -5, 3, 23],\n [3, -20, 17, -22, -7, 18, 23, 17, -15, -7, 22],\n [-19, 17, -6, -19, 16, -14, -11, 19, -10, -16, 17],\n [-10, -1, -17, -25, -13, -5, 0, -10, -25, 23, 8],\n [-11, -23, -12, 9, -6, 25, 8, 1, 10, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1893", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-20, 7, 12, 3, -5, 14, 21, -1, -11, -2, -18],\n [-12, -6, 7, 10, 9, 12, 24, 16, -19, -2, -14],\n [-10, -9, 15, 9, -3, -4, -11, -1, -6, -21, 3],\n [-22, 6, -1, 11, -1, -18, 8, -4, 13, -7, 21],\n [-1, -22, 21, 6, 10, 9, 6, -10, -1, 3, -20],\n [24, -11, -19, -7, -1, -4, -10, -19, 23, 1, 15],\n [-23, 8, 2, -12, -1, -23, -10, -15, -19, -7, -24],\n [18, -17, 9, 4, 21, 7, -17, 9, 22, -13, 10],\n [-23, 21, -8, -17, -25, -25, 8, 17, 20, 10, -23],\n [-21, -16, 5, 2, 22, 14, 2, 24, -18, -15, 15]]\nB =\n[[-9, -2, 6, 10, 3, -19, -3, -10, 2, 12, -11],\n [-22, -11, 1, 14, 22, -1, 16, -25, 2, -14, -23],\n [18, -5, 1, -1, 3, 1, 20, 5, 17, -12, -14],\n [-20, 20, -11, -25, 24, -11, 21, 2, 18, -12, -3],\n [-21, 13, 10, 11, 2, 16, 11, -7, 11, 20, -4],\n [-19, -6, -15, -23, -2, -5, 17, 3, 19, -19, -15],\n [22, -11, -2, -14, 17, 15, 20, 19, -4, 0, -16],\n [-3, 14, -4, -8, 20, 0, 19, -21, 4, 1, -23],\n [-24, 11, -4, 25, -3, -23, -7, -20, 6, -24, -15],\n [0, -5, 4, -16, 18, 22, -14, 24, -2, -7, 10],\n [5, -17, 20, -4, 0, -23, 13, -14, 8, -20, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7148", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 4) of the product of the following matrices:\nA =\n[[17, -3, -12, -2, 15, 11, 23, -18, -6, -4, 5],\n [-19, 11, 21, 21, -17, 3, -9, -2, -10, 9, 7],\n [-9, 7, 17, -1, 1, 11, 19, -9, 18, 7, 5],\n [-20, 3, -22, 8, -8, -2, 20, -4, -24, -1, -12],\n [17, 13, -7, -1, 10, -25, -11, -1, 24, -16, -8],\n [-17, -24, -3, -18, 23, -20, -5, -19, 0, 11, 17],\n [-22, -8, -16, 7, 25, -3, -20, -19, 14, 0, -22],\n [-22, 7, 11, 23, 10, -21, 20, 3, -15, 0, -13],\n [3, -11, 20, -18, 24, 1, 13, -21, 25, 21, -7],\n [-21, -24, -3, 12, 1, 0, 10, 14, -5, -18, 14]]\nB =\n[[12, -1, -18, -5, 4, -8, 19, 2, 1, -17, -16],\n [15, 14, 7, -16, 6, 19, -12, -8, -24, 10, -15],\n [-7, 15, 3, -7, 15, 22, -12, 11, -3, -2, 3],\n [-17, -8, 15, -25, -2, -6, -22, -13, -12, -12, 0],\n [0, 18, 12, -21, -21, -21, -8, 16, -5, 25, -1],\n [12, -12, 23, 15, 17, 14, 16, 22, 4, -4, -8],\n [25, -16, -2, 2, 22, -17, -1, -10, -15, 23, -17],\n [-17, 22, 24, 7, 23, -23, -25, 10, 22, -6, -2],\n [3, 8, -21, 15, -7, 8, -24, 17, -14, -15, 22],\n [-4, -3, 14, -9, 19, 9, 14, -16, 1, -15, 24],\n [16, -20, -18, -11, -9, -25, -15, 21, 2, 16, -17]]\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[[-8, -14, -13, 10, 20, -4, 3, 9, 4, -14, -25],\n [-8, -10, 22, -1, 1, -13, 14, 10, -5, -19, -21],\n [-6, -17, -19, -24, -9, 15, -23, 6, 0, -17, 12],\n [-8, -21, 12, 13, -6, 2, 2, 24, -1, 0, -6],\n [-3, -12, 7, 25, -2, 14, -22, 19, -11, 20, 17],\n [-7, -3, 22, -20, 11, -11, -9, -11, 1, -18, 20],\n [5, 13, 16, -9, 22, -3, -21, 10, 19, 24, 2],\n [-9, 12, 9, 11, 3, 2, 7, -1, -10, -23, 4],\n [19, 2, 11, -25, 20, -11, -1, -23, -6, -13, 21],\n [-23, 5, 23, -17, 1, -8, 22, 5, 24, 10, -25]]\nB =\n[[4, 25, 20, 16, -20, 7, 1, 11, -21, -22],\n [-11, -12, 24, 10, -24, 16, 25, 21, 23, -7],\n [7, -18, 23, -25, -16, -13, -3, -24, 20, -22],\n [-25, 25, 19, -7, -19, -17, -1, -22, 11, -12],\n [-4, -14, 22, -16, 2, -16, 19, 22, 14, 8],\n [-19, -21, -5, -19, -25, 7, -1, 18, 16, -2],\n [16, -18, 4, -12, 4, -17, -2, -25, -6, 11],\n [4, 17, 21, 20, 10, 0, -12, 12, -20, -10],\n [-2, 13, -23, -11, 17, 7, -1, 14, -20, 1],\n [8, 3, -8, -20, 7, 23, -22, 3, -19, -16],\n [14, -12, -6, 7, -16, -15, 9, 12, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 2) of the result:\nA =\n[[-12, -23, -5, 15, -8, 20, 5, 25, -1, 1, -24],\n [16, 1, -6, -15, 23, 18, -14, -2, -12, -15, 23],\n [15, -6, 10, 23, 6, 25, 25, 1, 14, 18, 19],\n [-3, -4, -4, 19, -15, 21, -14, 14, 10, 10, -22],\n [-13, -5, 12, -7, 18, 20, -4, 11, 16, 12, -10],\n [-4, 7, -12, -16, -8, -10, 0, 8, -12, 16, 11],\n [9, 7, -21, 12, -15, 24, 14, -7, 24, -20, 5],\n [-9, 14, 11, -15, 23, 15, -10, -19, 7, 19, 13],\n [9, -8, 20, 16, -23, 6, 3, 5, 9, -13, 15],\n [-22, 16, -16, 22, -6, 4, 0, 3, 19, 8, -1]]\nB =\n[[7, -17, -10, -17, -11, -17, 24, -4, -11, 1],\n [-25, 14, -19, -16, 14, -2, 9, 13, 0, -17],\n [24, 9, 10, -20, 15, -17, -4, 21, -4, -16],\n [-18, 7, 7, 0, -1, 5, -8, 6, -12, 20],\n [-17, 11, -19, 25, -12, -7, -9, 19, -4, 8],\n [-18, 14, 15, 22, 9, -16, -16, 15, 24, -24],\n [-20, 2, -9, 7, -13, 3, 12, -20, -7, 24],\n [-6, 15, 7, -4, -18, -24, -6, -16, 4, 6],\n [-22, 5, -15, -13, -22, 8, -4, 14, -17, 21],\n [-7, 4, -22, -4, 9, 25, -1, -7, 14, 9],\n [-24, -7, 12, 9, -7, -23, -2, -1, -13, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-20, 7, 21, 16, -22, 1, 5, -15, 5, 21, 6],\n [1, -16, -24, 13, 20, 18, 23, 2, 23, -19, -11],\n [12, -22, -4, -14, -16, -8, -14, 9, 5, 2, 11],\n [-10, -23, 10, -20, 17, -2, 8, -15, -13, -13, -1],\n [8, -19, 1, -13, 1, 7, -4, 9, -4, -7, -13],\n [-25, -12, 20, 22, 23, -19, 15, 2, 25, -7, -20],\n [21, 4, 4, 17, 9, 9, -15, -23, 21, -3, -7],\n [12, 20, -8, -10, 0, -1, -2, 15, -19, -7, -15],\n [-7, 23, -19, -25, -15, 8, 10, -17, -20, -19, 3],\n [14, -14, 4, -14, -8, -25, -11, -21, 7, -25, 25],\n [18, -4, 22, -1, -5, 22, -20, -23, 20, 20, -20]]\nB =\n[[-17, 22, -14, -22, -25, 15, 1, 14, 18, 22, -5],\n [14, 6, -13, 25, -25, -24, -2, -13, 22, -25, 11],\n [-22, -17, 12, 8, 24, -5, 8, -15, 20, -17, -22],\n [14, 20, -23, 4, -10, -5, -23, 14, -2, 18, -4],\n [0, -4, -12, -24, -21, 21, 17, 13, -21, 4, -8],\n [-1, -17, 5, -24, 20, 9, -14, 6, 2, 6, -25],\n [-15, 19, -10, -2, 6, -25, 9, -9, -4, 15, -25],\n [22, 13, -23, -22, -6, 2, -25, -19, 12, 24, 4],\n [25, 24, -19, -6, -3, -10, -5, -25, 24, -9, 10],\n [23, -24, -3, -21, -14, 25, 15, 8, -9, -5, -22],\n [17, 0, 19, -1, 0, 24, 15, -2, 1, -13, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[25, -5, 11, -9, 14, -1, 24, -16, 6, -11],\n [19, 3, 21, -19, 0, 9, -8, 0, 8, -24],\n [0, 23, 2, 0, 8, 15, -19, 11, -4, 12],\n [3, -2, 9, 17, -22, 7, 6, -10, -2, 15],\n [0, 15, 6, -14, -12, -7, 22, -8, 8, 19],\n [6, 7, -18, 11, -1, 20, 7, 24, -22, 17],\n [20, -15, -15, 23, -5, -5, 25, -12, -13, 8],\n [7, -9, 18, -18, -1, -9, 0, -21, -5, 17],\n [-10, -8, -22, 15, -15, 18, -14, -1, 25, 12],\n [0, 7, 6, 1, -17, 24, 0, -15, -25, -3]]\nB =\n[[-24, 2, 22, -4, 0, 20, -4, 3, -21, -12],\n [-20, 13, 9, -12, 24, -8, -14, 8, 20, 7],\n [-12, 1, -8, 14, -23, 25, -12, -19, -2, -25],\n [4, -22, 2, 22, -16, 4, 24, -6, 7, -4],\n [-5, -22, 22, -18, -9, 24, -25, -2, -9, 3],\n [-19, -4, -13, -12, -15, -11, 0, 17, 0, 20],\n [-21, -8, 18, -25, -24, -23, 11, 24, 13, -10],\n [8, -9, -5, 3, -6, 5, -19, 24, -9, -10],\n [-1, 8, -3, 15, 14, 17, 10, -2, -15, -24],\n [2, 10, 6, -20, -4, 21, -10, -14, -13, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-499", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[20, -24, -11, 21, -24, -4, -12, 4, -4, 18, -13],\n [-17, 11, -1, 15, -6, -11, -2, 20, 15, -1, 25],\n [-25, 12, -20, -16, 10, -17, 20, 5, 9, -24, 0],\n [13, 24, 17, 23, 17, -6, -24, 0, 16, -7, -20],\n [3, -4, -12, 17, -12, 15, 13, 17, 10, 10, 16],\n [-12, 10, -21, -1, -17, -20, -3, 6, -11, -16, 24],\n [15, -18, 11, 14, 10, 2, 5, 1, -14, -5, 21],\n [24, 1, 2, 6, -18, 12, -7, -6, 9, -14, 6],\n [16, -18, -22, -25, 13, 17, 2, 19, -11, 19, -15],\n [21, 10, -7, 1, -14, -15, 24, -7, 13, -25, 25],\n [-16, 0, 5, 19, -12, 24, 10, -22, -7, 24, 10]]\nB =\n[[4, 8, 12, 0, -5, -7, -14, 1, 9, 24, -14],\n [-19, 15, -9, -17, -9, -12, 7, -15, -4, -3, -1],\n [-4, 11, 24, -13, -3, -9, 22, 12, -25, -12, 17],\n [-17, 21, 4, -1, 6, 19, 22, 23, -2, 6, -12],\n [-19, 3, -16, -7, -12, -8, -15, 13, 0, 13, 15],\n [-12, -2, 23, -17, 13, 0, -13, -18, -11, 24, 13],\n [1, 18, 16, 25, -23, 18, 0, 15, -1, 4, 4],\n [17, 0, -7, 1, -21, 17, 13, 7, -10, -1, 16],\n [25, 22, 21, 22, 12, -23, -3, 23, -13, -4, -24],\n [20, 12, -10, 7, -25, -18, -7, -13, 24, 22, 2],\n [-18, 22, 19, -4, -3, -15, -15, 20, 14, 19, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64526", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 6) of the result:\nA =\n[[-5, 7, -10, 14, -21, 5, -12, 20, -20, 2, -8],\n [-4, -20, -14, 13, 25, -22, -11, -2, 19, -10, 19],\n [16, -23, 21, -2, 25, -10, -8, 4, 18, -25, -14],\n [-23, 17, 14, -20, 20, 3, 10, 24, -23, 3, -25],\n [-15, 13, 19, -13, 9, 15, -5, 4, -5, 17, -15],\n [-25, -16, -24, 6, -8, -9, 20, 14, 25, 9, 6],\n [24, -19, 10, 10, 12, -19, 12, 22, 6, -21, -6],\n [-7, 0, 3, -2, 16, 25, 16, -20, 23, 4, 17],\n [2, 24, -15, -7, -19, -9, -14, -6, -19, 10, -19],\n [-6, 20, 24, 2, 24, -22, 12, 8, -17, 16, 10]]\nB =\n[[6, 7, 17, 10, 2, 19, -9, -10, 22, 14, 5],\n [-20, 17, -16, 20, 25, -7, 14, -1, -24, 17, -4],\n [18, -5, 5, -12, 24, -11, 5, -12, -6, 20, -4],\n [23, 17, -25, 6, 24, -13, -4, -24, 3, 19, 1],\n [-17, -4, -8, 14, -9, -2, -6, 14, -21, -24, -12],\n [-15, -12, -24, -4, -4, -1, 17, 18, -16, 6, -21],\n [-11, 13, -19, -11, 9, -24, -13, -15, -13, 1, -21],\n [-21, -8, 17, -10, -13, 0, -8, 25, 4, 0, -4],\n [-20, -1, -18, 13, -5, -23, 9, 14, 10, 9, -24],\n [-20, 15, 2, 7, 10, 10, -17, 5, 12, 11, 24],\n [-25, -6, 22, 10, 16, 8, -18, -12, -22, 12, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[-12, -9, 20, -1, 23, -7, 20, -20, 18, -11, -17],\n [-12, -14, -21, 6, -24, -2, 14, 19, 19, 14, 19],\n [2, 21, -5, -21, 5, 8, 14, 25, 15, -17, 5],\n [19, 9, -9, 17, -15, -15, 7, -11, -21, 22, 23],\n [14, 20, -15, -7, 5, 4, -7, -10, 15, -5, 18],\n [17, -21, 1, 5, 22, 0, -18, -19, -8, 11, 14],\n [-3, 7, -2, 7, 7, 24, 2, -24, 20, 21, 7],\n [10, 12, -8, -17, -1, 8, 2, 10, -12, 10, -16],\n [-17, 15, -23, -23, -16, -1, -3, 23, -15, -4, 1],\n [-23, 21, 16, -13, 4, 20, 8, 4, -2, -25, 10]]\nB =\n[[-14, -6, -24, -1, 6, 19, 7, 5, 10, -6],\n [-2, 18, 15, 3, 16, 18, -23, -22, 21, -22],\n [-13, -11, -19, 10, -15, -5, 13, -14, -9, -4],\n [-8, -22, -20, 21, -10, 13, -17, -12, 13, 6],\n [23, 25, -14, -19, -20, 0, 2, -17, 15, -4],\n [20, 17, -23, -3, -8, -21, 12, -4, 8, -12],\n [2, 14, 0, 25, -24, 6, 22, -11, 23, -12],\n [-12, 22, -5, 7, 10, 12, 9, 10, 15, 15],\n [24, 3, -25, -3, 6, -21, 18, -1, -4, 13],\n [-25, -3, -7, -18, -16, 19, 12, -13, 16, 11],\n [24, -14, 2, 19, -7, -25, 11, -6, 4, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-638", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[24, 13, 16, 14, 13, 23, 0, 10, -18, 1, 2],\n [23, -3, -1, 15, 17, 24, -17, -8, -20, -23, 14],\n [1, 24, 21, 5, 1, -1, -11, -17, 25, -8, -25],\n [-14, 1, 20, -19, -8, 8, 24, -9, 10, 11, 18],\n [-24, 12, -13, 17, 9, -15, 7, 1, 16, 21, -21],\n [13, 23, -11, 11, -20, 6, 17, 23, 25, 21, 1],\n [-24, 13, -4, -4, -7, -20, -5, 5, -19, 2, 23],\n [23, -22, -25, -17, 25, -19, -20, -22, 19, 4, 20],\n [22, 6, -3, -13, 16, 5, 22, -4, -25, -11, -12],\n [-10, 14, 23, 18, 0, -1, -11, 13, -14, -18, 1]]\nB =\n[[3, -3, 21, -4, -18, 16, -13, -1, 7, -21],\n [-1, -21, 6, 20, -12, 1, 18, 5, 9, -17],\n [4, 22, 11, 11, -25, -11, -2, -19, 19, 8],\n [2, -11, -8, 9, 21, -15, 22, 17, -20, -12],\n [3, -10, -22, -20, -6, 23, -24, -7, -15, 5],\n [-6, 22, 4, -17, -19, -9, -3, 14, -16, 19],\n [-4, -3, 7, -16, -13, 18, 13, 1, 17, 18],\n [-20, -2, 23, 21, -19, 2, -20, 24, 5, 12],\n [-14, 25, 14, 23, -8, -9, -23, -24, 25, 24],\n [12, -19, 4, 22, 15, -10, -25, 24, 22, -24],\n [-5, -7, -4, 0, 13, -6, -6, 15, -3, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-367", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 1, -15, -25, -13, 10, 12, -15, -18, 25, 2],\n [-6, 19, -25, 14, -25, 2, -5, -15, -14, -11, 4],\n [-5, 13, -3, 21, 11, 19, 9, -12, 19, 0, -7],\n [-19, 6, -14, 4, 14, -14, 19, -13, 12, -1, -8],\n [-3, -23, -7, 23, 0, 18, 11, 0, 0, 15, 25],\n [-13, -5, -3, 19, -9, 16, -15, -9, -10, 11, 23],\n [-7, -6, 12, -13, -12, -12, -16, -16, 14, 4, 24],\n [-22, 20, 25, -9, 16, -12, -4, 24, -15, -20, 9],\n [16, -1, 1, -21, 11, -4, 22, -1, -10, -24, -24],\n [1, -16, 24, 25, 16, 23, 13, -3, -11, 19, 18],\n [12, -13, 20, -21, -24, 10, 1, 1, -21, -21, -19]]\nB =\n[[-13, -9, 15, 8, 19, 7, 13, -18, 12, 24, 22],\n [-22, 14, 16, 18, -22, -25, 24, -23, 0, 12, -5],\n [-23, 25, 1, 1, -23, -12, 4, -18, -17, 0, -9],\n [-9, -21, 17, -5, 9, 15, -2, 13, -8, -10, -6],\n [25, -11, 6, 10, 5, 1, -19, -17, 8, 23, -6],\n [-10, -22, 22, 16, 0, 15, -25, 24, 4, -3, -24],\n [5, -13, 19, 12, 24, 25, 11, 10, -13, -6, -17],\n [12, -8, 21, 14, -1, -11, 13, -14, 20, -12, -19],\n [-2, 24, -19, 20, 13, 5, 17, 11, 7, -20, 7],\n [12, 25, -4, -8, -15, 24, -12, 0, -16, 12, 6],\n [-14, 6, 13, 10, 7, -13, 18, 5, -11, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66950", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[19, -12, -12, -1, 10, 16, -16, -11, -19, -9],\n [-11, -22, 22, 11, -16, -7, 24, 14, -7, -16],\n [-18, 6, -4, 13, -17, -19, 10, -13, -5, -2],\n [-12, -1, 18, -13, -25, 16, -9, -23, 0, -12],\n [-22, -14, -16, 13, 15, -15, -22, 23, -11, 18],\n [-22, 22, -9, 9, 3, 12, 23, -23, -14, 12],\n [-15, 10, 20, -24, 21, 8, -21, 4, -7, 19],\n [-6, -24, 5, 24, 12, 24, -9, 6, -1, -25],\n [-10, -6, -23, 23, -13, 21, -4, 2, 5, -19],\n [8, 15, 4, -1, -23, 9, -24, 1, -23, 2],\n [-15, -21, -9, 1, -17, 7, -23, 2, -6, 14]]\nB =\n[[5, 21, 19, 3, 9, 2, -20, 24, 21, 2],\n [10, 10, 23, 22, 17, 13, -15, -2, 17, 13],\n [-1, 8, 15, -21, 11, 19, -4, 10, -25, -10],\n [11, 13, 4, -15, -14, 5, -7, -2, -1, 22],\n [-10, 8, 22, -8, 3, -20, -10, -15, 5, -15],\n [11, 23, -16, -24, -1, 16, -12, 17, -24, 24],\n [3, -11, 4, 15, 8, -14, 3, -20, 0, -24],\n [-22, -8, -6, -14, -17, 22, 15, 3, -7, 7],\n [-20, 15, -14, 6, 17, -9, -8, 14, -1, -21],\n [12, 9, 3, -2, 10, 12, -19, 17, 12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61636", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-20, 8, 4, 3, 21, -1, 3, -11, 8, 23, 1],\n [-4, -24, 0, -15, 12, 20, 22, -23, 6, 17, -6],\n [16, 13, -6, -18, 25, -3, -4, 4, 23, -1, -5],\n [11, -23, -2, -4, 16, -6, -24, -22, -9, 23, 20],\n [2, 14, -6, 21, 22, -20, 0, -17, 5, 5, 23],\n [-22, 2, -3, -23, 1, 12, 16, -22, 15, 16, -6],\n [-22, 15, -8, 24, 20, -6, -8, 5, -13, 24, -20],\n [-6, 16, -10, -23, 10, -3, 9, 1, -1, 0, 24],\n [24, 9, 3, 12, 4, -13, 12, -19, -13, 13, -25],\n [6, -3, -9, 25, -6, 6, -15, -6, 19, 2, 5]]\nB =\n[[-22, -4, -22, 12, 0, -23, 14, 8, -5, -11, 0],\n [21, 1, 12, 2, 21, 4, -3, 21, 19, 13, 11],\n [14, 12, -22, 7, -9, 22, 17, 12, -5, -7, -14],\n [6, 11, -22, -18, -22, 14, -4, -16, -5, 7, 24],\n [-3, 24, -10, 4, -7, -19, 25, -17, 15, 3, -21],\n [-8, 11, 11, -24, 15, 11, 1, -18, -1, -4, -2],\n [18, 9, 19, 20, -23, -16, 22, -11, 23, -5, -7],\n [-5, 11, -18, -9, 2, -5, 18, 17, -18, -15, -13],\n [-11, 2, -24, -5, -5, 1, 22, 24, -11, 2, 7],\n [-19, 6, 18, -23, -23, -10, -5, -17, -23, 4, -18],\n [22, 3, 12, -12, -3, 12, 2, 2, 25, 18, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58341", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -4, -24, 15, -17, -22, -3, -2, -23, -14],\n [3, 19, -4, -7, -10, 18, 1, -12, 3, -23],\n [4, 18, 7, 0, -23, 4, -10, -21, 21, 5],\n [10, 17, 0, 16, 21, 4, 1, -13, -15, 0],\n [19, 12, 7, 3, -4, 1, 7, 16, 15, -10],\n [-10, -18, 24, 14, -22, 11, 18, -16, 6, 24],\n [-19, 16, -9, -10, 9, -15, 15, -16, 2, 18],\n [-9, 14, 20, 12, -10, -5, 12, 18, -8, 21],\n [24, -22, 21, 13, -21, 2, 13, 11, -6, -16],\n [-16, -8, -25, 11, 22, 25, 5, 19, 13, -8],\n [-3, -10, 0, 9, -11, 15, 9, -12, 6, 18]]\nB =\n[[19, 15, -10, -21, 4, -10, 24, 10, -23, 6],\n [-25, -6, 7, 23, 5, -6, -19, -5, 14, -19],\n [13, 3, -8, -11, -3, -7, 25, 21, -11, -8],\n [-19, 20, 9, -8, 12, 25, -10, -1, 17, 1],\n [-3, -8, -13, -23, 3, -15, 4, -24, 20, -2],\n [12, -21, 0, -13, -8, -10, 2, -12, -24, 17],\n [-20, -21, -11, -8, 7, 9, -1, 14, 0, -4],\n [10, -15, -15, 20, 24, 13, -5, 19, -1, 22],\n [25, 0, 2, -13, -3, -8, 6, -1, 5, -14],\n [-21, -13, -1, 13, -17, 25, 15, 13, 12, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -10, 1, 14, -22, 3, -18, -8, 7, 17],\n [5, 14, -2, 13, 12, 10, -22, 6, 6, -1],\n [16, 22, -6, -2, 16, 21, 18, -5, -10, 3],\n [-15, -17, -9, 12, -18, 24, -25, 18, -22, 22],\n [-7, -14, 8, -18, 22, -4, -2, -17, 0, -14],\n [-4, -12, -18, 2, -17, 13, 13, -25, 8, 0],\n [-21, -3, 15, -16, 17, -19, 7, -16, -16, -20],\n [6, -24, 20, -12, -17, -8, -15, -9, 1, -21],\n [10, 8, 1, -8, 15, -25, -10, 19, 13, 24],\n [-7, 18, 7, 4, 1, 6, 3, -18, 18, 16]]\nB =\n[[9, 9, -12, 11, 12, 14, 14, 12, 6, 23, -16],\n [3, 5, 18, -18, -3, -20, 21, -5, -21, 11, -21],\n [-20, -21, -25, 25, 23, 1, -14, 22, -23, 23, -20],\n [-25, -16, -16, -18, -14, -1, 24, 8, -2, -25, -22],\n [-13, -3, 18, -15, 10, 15, -7, -21, -7, -23, 21],\n [22, -20, 24, -21, 23, 25, 25, 11, 4, 20, 7],\n [12, -16, 1, 13, -20, 23, -4, -3, -11, -19, -22],\n [-25, 19, -6, -24, -23, 22, 11, -10, 25, -14, 0],\n [23, 9, 12, 24, 21, -4, 4, 4, -9, -20, 4],\n [24, -14, 24, -7, -3, -18, 13, 23, -18, -3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 0, -17, -23, -21, -4, 5, -10, 17, 9],\n [-2, -8, -13, 25, 0, 24, 20, 8, 0, 21],\n [23, 21, 23, 18, -17, 9, 7, -10, -16, -18],\n [-17, 18, 2, 24, 17, -22, 2, -7, 22, 1],\n [20, 20, 13, -21, -5, 23, -14, -13, 15, -8],\n [-16, -6, 10, 8, 23, 8, -22, 14, 21, -25],\n [-9, 1, 10, 4, 25, -19, -7, -14, 2, -2],\n [-11, 23, -23, 2, -7, -1, -18, 6, 13, -18],\n [13, 7, 20, -20, 10, -4, -16, 14, -22, 14],\n [3, -1, -6, -7, -14, 8, -5, -25, -2, 2]]\nB =\n[[-18, -4, -6, -6, 4, 9, -24, 9, 12, 25, 10],\n [22, -13, 10, 24, -10, -14, 21, -13, -9, -2, 2],\n [14, -9, 1, -4, 7, -14, -19, 25, 2, -13, 2],\n [19, 18, -16, 0, -18, 3, 14, 24, 0, 3, 1],\n [-14, 0, -25, -8, 23, -22, -11, 22, 16, 7, 4],\n [7, 0, -6, 24, -13, -24, -19, -23, 23, 13, 25],\n [-9, 10, 5, -14, -6, 15, 7, -7, -18, -24, -17],\n [7, 2, -22, 5, 21, 24, -6, 0, -12, 16, -24],\n [-22, -9, -22, 13, 25, -22, -16, 2, -16, 9, -1],\n [-20, 21, -12, -2, 4, -22, -1, 19, 9, 13, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57985", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-18, -9, 24, 9, 3, 24, -15, -18, 2, 11, 16],\n [9, 0, 1, 15, -11, -6, -16, -21, 1, 0, -11],\n [-1, 18, -8, -3, 25, 11, 20, 5, -25, 1, -11],\n [-25, -12, 12, 7, 20, -24, 23, 10, 15, -6, -7],\n [22, -15, 23, -25, -11, -24, -24, -20, 6, -17, -8],\n [-21, -4, -18, 21, -12, -23, -1, 23, -1, 21, 21],\n [-21, 3, -3, 7, -13, 10, -15, 22, -9, 7, 17],\n [19, 1, -21, 8, -21, -10, -19, 23, -25, 0, -12],\n [15, 11, 24, 14, -21, 21, 11, -5, 8, 7, -3],\n [25, -20, 0, 7, -13, 17, -3, 9, 16, 8, -5]]\nB =\n[[-22, -4, -6, -8, -19, -8, 5, -22, -17, 21, 6],\n [-19, 18, 14, -8, 6, -12, 0, 19, 23, -24, 8],\n [16, -7, 16, 8, 12, 12, 6, -2, -1, 23, -1],\n [13, 3, 7, -4, 1, 24, 1, 8, 3, 15, -8],\n [-16, 11, 20, 23, 11, -21, -10, 11, 3, 6, 19],\n [2, 8, 1, 24, 14, 7, -22, -7, 22, 23, 24],\n [24, -4, -3, -2, 10, -23, -21, 4, -17, -12, -25],\n [7, -15, -6, -11, 8, 1, -7, 9, -6, 1, -18],\n [20, 14, 23, 16, 12, -18, 5, -13, -4, -2, 6],\n [14, -19, -12, -8, -11, 1, 11, 25, -25, -11, -4],\n [-16, 0, -2, -11, 19, -11, -12, -16, 7, 19, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64831", "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, -10, -9, -15, 22, 4, -14, -12, -10, -10],\n [-15, 8, -23, 11, 22, 6, -3, -9, 22, 16],\n [-14, 9, 25, 4, 6, -24, 8, -6, -17, 15],\n [9, -4, 4, 2, -22, 19, 16, 23, 2, 8],\n [-7, 7, 10, -7, -4, 11, 20, 6, 21, -3],\n [3, 4, -12, 1, -3, -25, 9, 21, 6, 10],\n [-13, 23, 3, -10, -6, 15, 23, 13, 14, 14],\n [11, 1, 6, -15, -6, -3, 8, -6, -19, -19],\n [-8, 14, -10, 1, -15, 3, 14, -23, 17, -20],\n [23, -5, 7, 4, -9, 14, 11, -6, -7, 12],\n [-12, -24, -19, 20, -15, -25, -19, 2, 7, -11]]\nB =\n[[-17, 3, -12, 0, -5, 4, 13, -7, 9, 3],\n [8, 3, -20, -17, 23, -18, -10, 8, -20, 16],\n [-15, 14, 23, 24, -25, 23, 23, -20, 9, -2],\n [-9, -6, -1, -3, -7, -13, -12, -17, 4, -15],\n [-20, 17, -22, -5, -8, -8, -13, -20, -5, -24],\n [-5, -14, 14, -8, -25, -11, -3, -1, -6, -11],\n [20, -23, 17, 23, 24, 15, -19, 17, -25, -13],\n [-13, -10, 10, 24, 12, 1, -4, -18, -10, 6],\n [-10, 11, -20, -1, 16, -3, -7, -1, -25, -17],\n [6, 19, 24, -9, -13, -2, 4, 17, 14, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53711", "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, 10, -12, -3, -10, -2, -12, 7, 23, -9],\n [20, 9, -23, 7, 2, 2, -21, -18, 19, 24],\n [-19, 9, -16, -8, -20, 11, -10, 13, 5, 23],\n [12, 20, 11, -5, -13, 8, -17, 8, 7, 25],\n [-16, 4, -11, -19, 15, -19, -11, 0, 16, -7],\n [19, -7, 12, 13, -8, -25, -20, 16, -6, 5],\n [19, -8, -9, 6, 23, -1, 16, -12, -21, -19],\n [-10, -19, -6, -18, -9, -17, 23, 25, 21, 23],\n [16, -11, -15, -13, 10, -2, -21, 2, -3, -24],\n [7, -13, -12, -3, -2, -18, 21, -25, -22, -3],\n [-12, 0, 18, -6, -9, 4, 13, -11, 3, 25]]\nB =\n[[25, -20, 14, 14, -8, 21, 6, -6, -25, 18, 3],\n [-21, 24, 10, -22, 20, 11, 5, 12, -4, -24, 9],\n [-7, -15, -1, 16, 16, -25, 6, -19, -14, 9, -24],\n [23, 8, -8, 14, 21, -17, -23, 25, 1, 3, -12],\n [-18, 15, 6, -2, 0, -15, -21, 8, 13, -18, 19],\n [-11, 25, -11, 10, -1, 22, 15, 11, 16, -5, -20],\n [7, -8, -19, 1, -2, 10, 14, -8, -3, -24, -19],\n [11, -6, 12, -16, -25, 20, -17, 9, 15, 16, -25],\n [7, 10, 15, 8, 14, -19, -3, -8, -25, -15, -6],\n [24, -6, 6, 6, 25, -6, 1, 15, -22, 7, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62247", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 10) of the product matrix AB given:\nA =\n[[-5, -3, 9, 25, -21, -20, 6, -20, 16, 0],\n [-17, -25, -5, -4, -2, 11, -5, -11, -16, 0],\n [-16, 17, 0, -19, -17, -13, 6, 10, -2, -9],\n [13, -24, 6, 24, -20, 21, 18, 0, 16, -8],\n [-10, -21, 9, 7, -6, 17, -22, 8, 8, -19],\n [25, 8, 6, 0, 3, -8, 12, -1, 17, 2],\n [-25, -22, -10, -19, -12, -24, -7, -13, 20, -15],\n [-25, 9, -6, 3, 14, 6, 8, -13, 13, -11],\n [18, 2, -13, -21, -1, -1, 15, 15, 10, 4],\n [18, 21, 11, -17, -24, -18, 1, -20, 19, -19]]\nB =\n[[14, 5, -21, -24, 10, 14, 16, -4, 0, 5, 12],\n [10, -2, 2, -15, 6, 6, -9, -3, -6, 25, -8],\n [25, 23, 24, -13, 11, -15, 16, -16, 5, -10, 16],\n [-7, -8, 17, 22, 15, 6, 1, 9, -19, -4, -5],\n [0, 21, 21, 17, 12, -16, 0, -8, -18, 20, 22],\n [-21, 10, 22, 12, 13, 2, 13, -22, -21, -19, -3],\n [22, 15, -3, -6, 18, 1, 14, -25, -13, -15, -25],\n [-13, 24, 18, -18, 8, 9, -2, -23, 14, -16, 9],\n [24, 15, 10, 18, 19, 16, -12, 10, -2, 15, 13],\n [23, -17, 19, -19, 16, 17, 13, 15, 9, -13, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-882", "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, 22, 0, 24, -21, 24, -9, 19, -15, -4],\n [18, 18, 23, 21, -9, 17, -25, 6, 21, -11],\n [-10, -13, -2, 9, -17, -12, -22, 14, 8, 23],\n [-24, -2, 9, -12, -2, -25, -10, -25, 2, -22],\n [20, -2, -11, -2, -25, 13, 5, -19, -15, -21],\n [4, 22, 18, 16, 11, -15, 8, 22, 6, -3],\n [16, -24, 19, 24, -17, 10, -8, 23, -14, -25],\n [8, -22, -20, -2, 6, 21, 11, 2, -16, -12],\n [-3, 13, 12, 2, 15, 15, 21, 19, -25, 10],\n [4, 2, -11, 22, 3, 13, 13, -5, 7, -9]]\nB =\n[[16, 1, -1, 22, 19, 6, 16, -11, 21, -24, -15],\n [-23, -9, -1, 16, -1, 10, -11, 15, 25, 25, 5],\n [16, -3, -1, -7, 10, 19, -25, -10, -18, 2, -2],\n [-22, -3, -8, -11, 20, -8, 8, 17, 22, 16, -18],\n [-14, 14, -13, -2, -25, -15, -14, -10, 8, 19, -10],\n [-5, 12, 1, -11, -10, 23, -3, 9, -1, 2, 18],\n [-2, -22, 16, -20, -12, -23, -5, 8, 12, -24, 18],\n [-19, 9, -3, -6, 7, -1, 11, 18, -22, 10, -19],\n [-8, -10, -15, -13, -24, 19, 24, -2, 14, 10, -20],\n [14, 2, -1, -5, -14, 22, 14, 17, -12, 18, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60765", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 1, 25, 23, 12, -1, -19, -15, -15, 0],\n [-1, -18, 0, 16, -18, -12, -2, 25, -16, 18],\n [24, 22, -4, -11, 24, -23, 9, 11, 3, -21],\n [1, 18, -24, -4, -5, -16, -10, -20, 24, 12],\n [13, -18, 20, 5, -25, 0, 7, 25, 0, -18],\n [-14, -20, -8, -6, 9, 19, 1, 13, -12, 6],\n [4, 25, 11, 18, 19, -2, -9, -1, -23, 12],\n [25, -10, 16, -21, 12, 20, -21, -25, -1, 7],\n [-23, -19, -21, 11, 14, 22, 2, 19, -1, -11],\n [5, 9, -13, -7, -12, 14, -6, 12, -5, -11]]\nB =\n[[3, 1, 1, 22, 15, -19, 15, 19, 11, 21, 6],\n [10, 9, -7, 15, 2, -19, -6, 20, 23, 14, 24],\n [-2, 3, -12, 1, 9, 12, -21, -9, 12, -14, -22],\n [-13, -19, 11, 18, 11, 18, 7, -11, -7, -1, -8],\n [-8, 19, 5, 25, 15, 7, 19, 23, -23, -23, -24],\n [25, -22, 19, -14, -19, 1, 19, 9, 21, -16, -25],\n [5, 19, -17, -1, 3, 8, -22, 13, 1, 14, 8],\n [18, -5, -25, -5, 9, 7, -18, 14, 8, 6, 24],\n [-2, 1, 20, -23, 6, 16, 23, -21, 11, -21, 0],\n [17, 25, -2, 20, -5, -6, -17, -11, 24, -23, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2337", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-22, -8, 19, 5, 23, 18, 0, -5, 14, -5, 16],\n [16, 9, 0, 23, 18, 6, 23, -11, 2, -17, -21],\n [-19, 20, -4, -5, -7, -9, -15, 24, 5, -18, 8],\n [-23, 14, 21, -8, 10, 13, -5, -22, 2, 10, 18],\n [23, 1, -17, 24, -17, 2, 20, -7, 12, -20, 23],\n [14, -4, 23, 9, 5, 23, 0, 19, -2, -21, -5],\n [18, -4, -2, 9, -21, 23, -11, 13, 12, -20, -7],\n [-9, -24, 25, 3, -1, 22, 9, 11, 19, -6, -11],\n [22, -16, 6, -18, 7, -25, 22, 0, 16, 22, -21],\n [-24, -8, 7, -16, -20, 23, 13, 13, -13, 15, 17]]\nB =\n[[-14, -1, -24, -23, 23, -21, 17, -7, 16, -24],\n [25, -5, -13, 15, -4, -9, 0, 10, 19, -22],\n [6, 9, 9, -13, 17, 19, -2, -9, -13, -23],\n [11, -14, -9, -9, -18, -12, 15, 14, -12, -8],\n [6, -4, -11, -10, 3, -23, 20, -6, 12, -14],\n [9, -8, 1, -6, -20, 21, 14, -3, 5, -19],\n [23, -22, -7, 2, -3, -3, 20, -22, 6, 23],\n [-16, 13, 2, 7, -18, -9, 9, -4, 9, 18],\n [11, -8, -2, 23, -4, 18, 11, 16, -22, -17],\n [-25, -14, -22, -22, -17, -8, -12, -16, -8, 22],\n [0, 1, -7, -3, -12, -19, -25, 5, -6, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60157", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[-3, 1, 15, 5, 0, 24, -22, 16, 4, -7, 5],\n [-12, 17, 13, 20, 22, 9, -8, -21, -8, -4, 9],\n [-10, 21, 18, -13, 20, 21, -5, 7, -8, 3, -3],\n [13, 12, 24, 18, 12, 12, 6, -6, -19, 8, 19],\n [24, 25, -7, -23, -20, 9, -9, 10, 22, 16, 9],\n [6, 13, 17, -19, 11, 19, -8, -9, 7, -21, 8],\n [14, 20, -4, -15, -9, 13, -3, -24, 6, -19, -11],\n [-10, -12, 22, 12, -4, 16, -3, -4, -7, -25, 9],\n [19, -4, 6, -8, 9, 9, -11, 13, 7, 17, 1],\n [18, -21, -20, -18, 1, 11, 12, 9, -18, -9, 4],\n [-4, 14, -5, 0, 20, -5, -8, -12, 16, 16, 14]]\nB =\n[[-11, -23, 5, -20, -9, -24, -21, -2, 4, 14, 9],\n [21, 20, 8, 11, -11, 8, -7, 23, -18, -12, 12],\n [23, -14, 7, 7, -7, -5, 24, -11, 24, -7, 6],\n [-12, 5, -6, 8, -6, 15, -16, -19, -23, -3, -16],\n [9, -9, -5, 4, -23, -24, -1, -21, -19, -25, 6],\n [7, 11, -14, -23, -7, 23, -2, -3, -3, 12, -18],\n [-2, 23, -16, 18, -22, -13, 2, -2, 1, 6, 16],\n [-8, -20, 3, 21, 1, 17, 1, 9, 15, -25, -22],\n [6, 22, 5, -21, 23, 16, -23, -13, 24, -13, -4],\n [22, -5, -7, -11, 21, -10, -20, -4, -9, 18, 19],\n [-21, -18, 7, 21, 25, -24, -7, -21, -20, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1368", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[16, -3, -24, -5, -8, -16, 3, 7, -17, -3, -6],\n [10, 17, -7, -17, 18, 14, 16, 21, 7, -22, -10],\n [-10, -22, 22, -5, 14, 5, 25, -1, -9, -16, 10],\n [9, -19, -11, -15, 8, -16, -22, -18, -9, 23, 3],\n [5, 7, 0, 25, -20, 22, -5, -17, -9, 14, -18],\n [-23, -18, -1, 0, 7, -24, 8, 9, -19, 0, -5],\n [9, 11, 22, -15, -19, 10, -12, -23, 5, -13, -16],\n [24, 8, 25, -2, 10, 10, -12, 13, 1, 7, 12],\n [-23, 1, 10, 6, 2, -11, 3, -9, -16, 18, -9],\n [-1, 14, 19, 21, -16, 23, -10, -21, 14, 4, 6]]\nB =\n[[-8, -14, 1, 19, 2, -6, 6, 18, -3, -23, -23],\n [-7, 16, 13, -9, 6, 5, 20, -17, 9, -9, -10],\n [14, -10, -4, 3, -15, -16, 23, 9, -21, 18, -10],\n [-13, -19, -1, 8, 25, -2, 25, 24, -23, -23, 9],\n [10, 18, -5, 21, 25, 7, -3, 11, -7, -4, 25],\n [-14, 8, 19, 20, -11, -14, 20, -13, 25, 10, -2],\n [-20, 25, -4, 11, -13, -15, 23, 5, 12, 17, 10],\n [-7, 8, -1, -3, -16, -9, 1, -19, 2, 23, -12],\n [-11, -1, -22, -1, -12, 16, 19, 18, -17, -9, 5],\n [-8, -11, 7, -12, 12, -20, 0, 6, -7, -3, 24],\n [0, 16, -15, -13, -5, 23, 16, -3, 9, 4, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-969", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, -11, -23, -18, 16, 22, 21, 20, 16, 12],\n [23, -19, -3, 23, 9, -7, -23, 17, -15, 15],\n [-6, 19, 8, 16, -5, 25, -9, 5, 4, -10],\n [10, 11, -18, -2, -1, -17, -4, 13, 6, 15],\n [-17, 20, 8, -7, -5, 14, 1, 1, -4, -21],\n [-15, 15, 9, -6, -22, -3, -9, -22, 22, 2],\n [-16, -15, -19, -25, 8, 7, 8, -9, 15, 10],\n [-5, 2, -10, -10, 2, 17, 18, 3, -24, -10],\n [23, -7, 15, 1, 13, -24, -8, -3, -14, 0],\n [24, 4, -12, -11, -25, -9, -18, 5, 0, 25]]\nB =\n[[-8, 25, -12, -14, 23, 23, 20, -20, 25, 23, -5],\n [-4, -8, -13, 13, -24, -2, 7, -5, 1, 10, 13],\n [-7, -9, 18, -6, -1, -10, 4, 8, 13, 20, 25],\n [-5, -13, -25, -16, -15, 11, 15, 7, -8, 24, 1],\n [-3, 16, 12, 5, -16, 0, -11, 24, -7, 16, 18],\n [13, 24, -18, -17, -8, 19, 0, -22, 24, 20, 25],\n [13, -12, 6, 11, 15, 23, 2, 5, 6, 8, -4],\n [9, -13, -17, 13, -6, -20, -6, -2, 23, 25, -4],\n [25, -2, -3, -5, -10, 1, -1, 19, 9, 17, 2],\n [-2, 8, -16, 9, -2, -12, 8, 11, 22, 18, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2962", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, 4, 16, 16, 20, 7, -21, -14, 23, -10],\n [-3, -9, -25, 16, -20, 2, -21, 15, -17, -25],\n [22, -23, 4, 15, -5, 15, -9, -22, 21, 7],\n [21, 14, 4, 19, 2, -2, 16, -3, -9, 17],\n [17, 2, 10, 7, 8, -12, 8, 2, -24, -11],\n [-4, 5, -12, -7, 8, 5, 11, -17, -5, 6],\n [-6, 12, 12, 20, -21, -18, -3, -8, -20, -16],\n [-15, 0, -21, -24, 23, 20, -25, 8, 8, 18],\n [-16, 15, 14, -24, -23, 5, 5, -5, 1, -4],\n [-8, 15, 22, 21, -20, -10, 20, 14, 6, 10],\n [-24, -25, 7, -7, -15, 4, 3, -15, -11, 1]]\nB =\n[[4, 9, 1, -4, -8, 2, 0, 12, -3, 3],\n [-22, 20, 14, 5, 3, 1, 14, 18, -8, -14],\n [-9, 19, -18, -18, -18, 4, -24, -13, 10, 12],\n [12, -20, -22, 0, 8, 5, 11, -15, -23, -23],\n [-25, 21, 20, -20, -4, -15, 0, 16, -3, 12],\n [-20, 12, 5, 21, -4, -23, 0, -24, -4, 2],\n [-11, -20, 6, -5, -1, -5, -7, -14, -16, 12],\n [20, -1, -10, 19, 13, 2, -4, -24, -13, 7],\n [-24, -16, 20, 10, -17, -6, -2, 13, -15, -16],\n [-2, -11, -3, -21, 14, 16, 23, -11, -25, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3543", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-24, 11, -2, -14, -10, 10, -15, 18, 15, -12],\n [3, 10, -24, 9, 6, 16, -2, 1, -4, 0],\n [10, 22, -12, -7, -25, 8, -25, 14, -21, -12],\n [1, -24, 21, -4, 4, -15, -11, 11, -9, 13],\n [10, 24, -25, -10, -25, -7, 22, -17, 9, -7],\n [8, -17, 8, 16, -13, -12, 7, -2, 20, 9],\n [-11, -9, 23, -5, -23, -25, -12, 3, 20, -19],\n [14, -9, -1, 15, 21, 17, 1, -15, 9, -15],\n [-8, -6, -20, 21, -10, 21, 15, 14, -24, -1],\n [-25, 22, -24, -19, -12, -8, 7, 3, 13, -25],\n [25, 5, 19, 18, 12, 1, 1, 18, 19, -24]]\nB =\n[[-6, 22, -9, 13, 13, -18, 20, -23, -25, 3, 23],\n [5, -19, 25, 25, -13, 14, -5, 5, 0, 4, 7],\n [8, 24, -24, -21, 21, 14, 20, -20, 2, -7, -3],\n [22, 7, 2, -12, -20, -7, -24, -19, 4, 8, -16],\n [10, -25, 20, 6, 1, 12, -13, 8, 18, -13, 0],\n [-15, -25, -17, 16, -2, 8, -7, -19, -3, -21, -5],\n [25, 9, -9, -24, 16, 2, 25, -21, -15, 13, -18],\n [-14, -12, -23, -11, 6, -7, -7, -19, -14, -19, 11],\n [10, -3, 8, 13, -24, -10, -24, 10, -9, 13, 3],\n [-2, 1, 0, -19, -25, -11, -17, 20, 12, 25, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[7, 4, -9, -8, -10, -4, -15, -11, 15, 1],\n [-18, -22, 21, 6, -6, 12, 4, -19, 11, -21],\n [17, 16, -8, -2, 8, -25, 14, -3, 2, 16],\n [0, -22, 8, 4, 25, -10, -8, 23, 6, 11],\n [-13, -9, -12, -25, 13, 13, 25, -7, 16, 7],\n [-14, -16, 3, 1, 7, -10, -6, -12, -12, -12],\n [15, -14, -6, -20, 4, 11, -9, 5, -5, -20],\n [-15, 18, 6, 0, 18, -22, -17, 18, 21, -24],\n [0, 2, 1, -17, 17, 8, 17, 1, -21, 17],\n [17, 11, -17, -20, 2, -19, -7, 23, 2, 1]]\nB =\n[[-10, 1, -8, 18, -25, 18, -17, -13, -8, 16, -10],\n [-6, 6, 8, 8, -25, 9, -25, -13, 2, -18, -23],\n [-23, -24, 7, 19, 24, 8, 19, 1, 21, -7, -19],\n [8, 7, 8, 8, -9, -19, 23, 21, 21, 12, 15],\n [4, 11, 2, -2, -8, -5, -21, 10, -10, -13, 7],\n [14, 20, -13, -21, 24, 20, 2, -17, 1, 23, 20],\n [-8, 20, 20, -11, -6, -24, -16, 22, -12, -10, -6],\n [14, -18, -9, 24, 3, 0, 7, 25, -23, -19, -14],\n [-6, -16, 17, 22, 13, 2, 21, 25, -9, 12, -11],\n [-18, -7, -6, -7, -6, -10, 14, 12, -17, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1826", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[2, -22, 19, -12, -1, 17, 16, 12, 11, -17],\n [-8, 2, 3, 11, 4, 14, 4, 2, 24, 12],\n [-8, 5, 7, 20, -21, -8, 16, 8, -19, -4],\n [-20, 17, 10, 20, -14, 5, 10, 3, -9, 25],\n [23, -9, -18, 11, -16, 21, 12, 12, -12, 9],\n [-6, -18, -24, 20, -11, -20, -10, -11, -14, 3],\n [-9, -3, -16, 12, 18, -4, -11, 5, -23, -24],\n [-17, 19, -1, 6, -1, -23, -22, -7, -15, -23],\n [-1, 22, 9, -3, -22, 6, -21, -13, 5, 20],\n [-23, -2, -1, -17, -10, 13, -15, -13, 3, -23],\n [10, 5, -19, -21, -3, -12, -17, 1, -20, 12]]\nB =\n[[-25, 22, 6, 8, -12, -7, 15, -14, -6, 7],\n [11, 3, -1, -5, -10, 4, 3, 3, -5, 19],\n [-19, -17, 9, -24, 25, 7, -5, -5, 15, 25],\n [18, 3, -20, 24, -24, -7, 5, -1, -24, 10],\n [-22, -11, -12, 24, -7, -22, -9, 17, 18, 4],\n [18, -9, 6, 8, -11, -9, 5, 16, 23, -14],\n [22, 7, -12, -8, -11, -18, -3, -22, 11, 6],\n [2, 12, -8, -24, -2, -12, 9, 22, 21, 5],\n [-25, 1, -5, 13, -21, 24, 24, -8, -8, -19],\n [9, 9, -7, 1, -23, -10, -17, 14, -2, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -11, -17, -9, 3, 25, 0, 12, 4, 1, 8],\n [14, -12, -21, -22, 20, 7, 8, 4, 24, -3, -11],\n [22, -20, 4, 12, -13, 10, 22, 14, 16, 19, -20],\n [-8, 10, -1, 24, 22, -22, -2, -1, -4, -25, -22],\n [11, 1, 12, 7, -19, -20, -13, 4, -12, -6, 14],\n [-13, -24, 17, 4, 1, 11, -19, -4, 14, 14, 17],\n [-10, 11, 17, 25, -6, -5, -13, 25, 20, 9, 21],\n [24, 23, -8, -2, -10, 5, 3, -25, 8, 3, -11],\n [-25, 22, -2, -8, 18, 18, 25, 25, 7, -21, 5],\n [-7, -4, 0, -19, 4, 14, -1, 11, -8, -24, 8],\n [-2, 21, 3, 18, -16, 5, 20, -19, 23, 8, 3]]\nB =\n[[12, 3, -3, 16, 25, -15, 18, -4, -24, -22, 7],\n [21, -12, 21, -13, -15, -25, -5, 25, 7, -7, 20],\n [17, -24, 21, 12, -5, -10, 9, -19, 15, 14, -22],\n [10, 23, -11, 24, 2, 5, -6, 1, -6, -15, 0],\n [-25, 2, -6, 10, -25, 5, 23, -23, -9, 19, 11],\n [-15, -13, 9, 17, -21, -8, 25, -8, 2, -14, 0],\n [2, 21, 3, 18, 11, 5, 8, 16, 17, -22, -20],\n [2, 23, -4, -9, 10, 18, 23, 5, 5, 14, 7],\n [4, 22, 18, -6, -2, 16, 23, 11, 0, 24, -2],\n [4, 1, -20, 24, -15, 21, 16, -11, -13, 20, 20],\n [12, 8, 25, -9, -5, -25, -10, -3, 13, 23, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2854", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-23, -14, 3, -17, 1, -6, 6, 16, 10, 6],\n [20, 25, 18, 7, -11, -18, -22, 20, 14, 6],\n [-7, 0, -18, 11, 11, -6, 4, -14, 8, 24],\n [4, -2, -4, 19, -12, -3, -24, 23, 10, -12],\n [18, 14, 6, -8, 17, -1, 20, -1, 24, 23],\n [21, 23, -24, -22, -18, -25, -17, 19, 1, 2],\n [-25, 21, 16, -20, 9, -11, -16, 20, -2, -25],\n [1, -6, 13, 4, 16, -16, 19, -3, -2, -6],\n [8, -8, 12, -25, -7, 10, 11, 16, 19, 19],\n [-9, -25, 12, 23, 7, 7, 4, 13, -12, 14]]\nB =\n[[-7, -19, -5, -8, 24, -14, -14, -18, 16, -10, 22],\n [1, 13, 18, -7, 20, -11, 7, 6, 1, -11, -1],\n [8, 6, -18, -16, -11, 22, 0, -1, 5, -13, -19],\n [8, 24, -8, -24, 12, -14, -25, 13, -22, 2, -19],\n [-2, 21, 14, 4, -4, -4, 18, 2, -6, 25, -17],\n [2, -21, -4, 18, 20, -3, -16, -19, 14, 8, 4],\n [20, 25, -7, -11, 10, 17, 13, 3, 9, -24, 22],\n [14, 19, -1, 9, -18, 10, -7, -21, 5, 12, -19],\n [2, 15, -14, 25, 19, 7, -24, -11, -13, -21, 13],\n [24, 18, -15, 16, -22, 7, -9, -25, 5, -13, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[14, 9, 8, 24, 11, 2, -17, -16, -17, -17],\n [22, 10, 10, 14, 12, 25, -5, 5, -8, 8],\n [-13, 10, 0, 13, 11, -1, 20, 9, -18, 9],\n [9, 19, -11, 3, -6, 6, 1, 17, 12, 15],\n [-13, 19, -21, 5, -14, 14, -7, 22, -5, 13],\n [15, -23, 15, -16, 4, -19, 7, -9, -20, -24],\n [-19, 11, 17, -13, -10, 19, -9, -18, 9, 23],\n [2, -14, -3, -6, 20, -25, -21, -16, 3, 22],\n [21, -8, 13, -18, -19, -5, -25, -12, -15, 7],\n [23, -11, 24, -13, -8, 7, -24, -25, 18, 12]]\nB =\n[[8, -1, -4, -25, -14, -10, -7, 8, -13, 13],\n [-11, 25, 20, 2, 24, -21, 10, 5, -12, -1],\n [15, -22, 12, 3, -23, 17, 7, 14, -19, -5],\n [-20, 17, -17, -19, 24, -19, 17, 16, -21, -24],\n [8, 13, -19, 6, 23, -19, 24, 12, -18, -20],\n [14, 19, 15, 8, 23, -8, 18, 25, -7, -23],\n [-3, -21, -7, 20, -10, -2, -22, 10, 13, -5],\n [-25, -7, -3, 5, -19, -3, -14, 4, 21, 13],\n [10, -11, 7, 9, 4, 0, 5, 12, -3, -17],\n [20, 2, 17, -4, -21, -12, -19, 9, -11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65397", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-23, -8, -13, -13, 3, -23, 21, 0, 9, -22, -2],\n [-17, -13, 1, -24, -6, -11, -14, -24, 13, -10, 22],\n [25, 2, 10, -3, -19, -11, 13, 9, -23, 21, 16],\n [23, 25, -1, 19, 14, 10, 9, -16, -13, -2, -21],\n [-9, -1, -13, 12, -13, -14, 3, 21, -14, -1, 3],\n [-23, 6, 18, -5, 15, -19, -23, -18, -19, -10, -5],\n [-11, 11, 4, 20, 2, -19, 3, 6, -5, -18, 21],\n [22, -20, 4, -23, -11, 2, -10, 3, 2, -21, 4],\n [24, -14, 15, -24, -4, 11, -11, 24, -8, -21, 7],\n [18, -23, 25, 3, 8, -18, 1, 19, 2, -19, -20],\n [-20, -4, -3, 2, 0, 7, 19, -2, -11, -15, 15]]\nB =\n[[-5, -4, 9, -14, -13, 9, 14, 24, -2, 24, -23],\n [-2, 10, -13, 24, 1, -16, 15, -3, 23, 13, -14],\n [-8, 20, -7, 12, -24, 15, -22, 15, 6, -7, 24],\n [7, -2, 16, -1, 19, 14, 16, -25, 5, -22, 4],\n [-14, -15, -6, 13, 19, 23, -8, 10, -15, -24, -18],\n [-17, 0, 7, -19, 4, 19, 15, -16, 25, -25, 3],\n [17, -23, 20, 6, 5, -22, 4, -10, 16, 22, -7],\n [14, -4, 5, -21, 23, 17, -22, -24, -6, 23, 23],\n [-25, -8, 10, 2, -5, -18, -20, 17, -8, 11, -11],\n [22, -19, 14, 7, 8, 13, -22, -14, -7, 21, -10],\n [3, 25, -17, 9, -11, -19, -20, 1, -16, -5, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4848", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-7, 4, 6, -20, 13, 12, 4, 18, -14, -23, -13],\n [-8, -18, 6, -22, 17, -7, -8, 22, 12, 24, -14],\n [-13, 11, -25, 25, 21, -8, 9, 1, 25, 12, -2],\n [25, -8, 10, -17, 14, -25, -22, 7, 1, -24, -21],\n [17, 25, -7, 12, 17, -11, 0, 24, -4, -7, -22],\n [-6, -3, 19, -20, 22, 23, 19, 12, -5, -1, -1],\n [0, 1, 3, -4, 15, -8, -2, -11, -20, -19, 3],\n [15, 18, -24, -12, -4, -11, 24, 22, 22, 17, -13],\n [17, -25, -10, -13, -14, 12, 13, -13, -8, -18, -15],\n [-20, -22, 2, 22, -3, -2, -5, -20, -1, -13, 13],\n [-9, -11, -13, -10, -18, 12, -17, -23, 14, -13, 17]]\nB =\n[[-12, 9, 4, -5, -14, -1, 20, -6, -20, -3, -5],\n [6, -22, 14, -8, 6, 21, 16, -9, 15, 2, 3],\n [-15, -13, 12, -4, -9, 21, 23, -16, -22, 18, 8],\n [-25, 6, 12, 7, 5, 17, -21, 12, -21, 10, -17],\n [22, -25, -8, 11, -12, -8, -8, -2, 13, -2, 23],\n [-12, -8, 19, -4, -25, -5, 1, -13, 21, -15, 16],\n [-24, -22, 2, 4, 16, 15, 24, 18, 22, -9, 7],\n [-3, 25, 3, -5, -12, 16, -23, 12, -12, 13, 18],\n [7, 8, -23, -10, 14, 13, -22, 24, -17, 25, -18],\n [17, -23, 7, 25, 15, 12, -22, -2, -24, 13, -25],\n [17, -6, -1, 4, 17, 15, 11, -16, -15, -13, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "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, 9, -10, 9, 23, 25, 21, -12, -25, -22, 12],\n [-25, 5, -25, 4, 8, -17, -13, 19, -14, 22, -17],\n [4, 25, -2, -10, -22, 4, -6, 21, 0, 7, -11],\n [14, -11, 12, 10, -9, 25, -3, 8, -1, 9, 12],\n [-21, -15, -12, -23, -2, 7, 1, -1, -6, 10, -15],\n [24, 14, -13, -9, 25, 22, 13, -20, -16, 20, -1],\n [-21, -19, 21, -7, -22, -16, 18, 22, -8, 21, -1],\n [4, 2, -1, 4, -23, -17, 25, 15, -14, -18, -20],\n [-19, -19, 12, -17, -25, -6, -10, 24, 0, 19, -14],\n [-6, 22, 4, -3, 11, 4, -11, -1, 21, 10, 2]]\nB =\n[[-9, 23, -12, 23, 9, -8, -17, 15, 0, 11, 5],\n [2, -10, 18, 22, 20, -3, -23, 11, 18, -2, -21],\n [18, -24, 5, 14, 4, 1, 13, -17, 15, 3, 11],\n [-11, 4, 22, -3, 18, 24, -5, 21, -7, -12, -24],\n [-15, 6, 22, -17, 4, 8, 8, 8, 13, -24, -15],\n [-11, 12, -1, 10, -2, -11, -11, 4, 4, 23, 22],\n [-23, -24, -1, -19, 10, 25, 1, -19, -17, -21, 22],\n [4, -9, 15, 2, -16, -23, 17, -15, -1, -18, 2],\n [21, -13, 22, -4, -21, 7, 16, 8, -21, 6, -13],\n [7, -20, 18, -24, -11, 15, 12, 9, 15, -25, 25],\n [11, -23, 12, 11, -16, 18, 8, 8, -16, 24, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72488", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[25, 8, 8, 15, -12, -1, -3, 15, -24, 8],\n [9, -2, -10, -5, -9, 6, -12, 2, 7, -19],\n [-12, -20, -15, 1, 0, 8, -1, 10, -8, 25],\n [2, -16, 10, 25, 25, 16, 12, 16, 21, -17],\n [13, -5, 0, 9, 7, -1, -23, -7, -14, 4],\n [8, 22, 15, -18, 16, 21, -12, -15, 19, 14],\n [19, 18, -18, 18, -7, -5, -7, 7, -4, 15],\n [23, -23, 12, -17, 15, 5, 24, 22, 1, -6],\n [24, -15, 11, -9, 24, 2, 20, 24, -23, -23],\n [-4, -10, -16, -24, 23, 20, 19, -14, 10, -12]]\nB =\n[[15, -10, -15, 13, 15, -3, 3, -15, -16, 11, 18],\n [-10, -11, -1, 8, -22, -14, -10, -4, -20, 7, -7],\n [22, -11, 21, 2, -10, 13, 18, 20, -19, 19, -1],\n [10, -14, 8, 10, -23, 25, 15, 22, -14, 15, 21],\n [-6, -1, 3, 4, 2, -7, 23, -24, -5, -13, 22],\n [15, -12, 5, -9, -14, 19, -10, -3, -10, -5, 19],\n [12, 18, -15, -14, 0, 0, 8, -10, -11, -20, -16],\n [22, 20, -7, -20, 8, -15, -23, -14, 7, 5, 14],\n [0, 7, 16, -17, 15, 25, 4, -19, -16, 14, -8],\n [16, -9, 2, -19, 0, -12, -23, 22, 7, -18, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62214", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, 17, 3, -18, 11, -2, -12, -13, 23, -20, 19],\n [-19, 18, 20, -5, -23, 12, -4, -13, 10, 5, 3],\n [-12, 15, -12, 25, -21, -24, -8, -9, 14, -20, 2],\n [-7, 2, 22, 0, -22, 21, 21, 6, -10, -20, 24],\n [-7, -10, 22, -3, 25, 14, 13, -16, -5, -9, -7],\n [15, 1, -7, -12, -22, 2, -17, 8, -2, 22, -2],\n [-19, -1, 25, 13, 10, -8, -17, -8, 19, -1, 18],\n [-11, -19, 13, -18, -19, -10, -3, 24, 14, -10, 11],\n [9, -6, 22, -1, 18, 24, -10, -2, 13, 9, 14],\n [25, -22, -13, 19, -10, -13, -23, -17, 17, -3, -2],\n [-4, 2, 10, -10, 19, 1, 17, 16, -11, 0, 17]]\nB =\n[[12, -25, -12, 12, -4, -12, -4, 12, -8, -14, 0],\n [13, -15, 17, 8, -19, 8, -2, 22, 2, 7, 8],\n [10, -15, 10, -24, 19, -24, -6, 20, 12, 11, -18],\n [8, 7, -19, -21, 6, -22, -21, -6, -25, -18, 18],\n [-21, -18, 18, -15, 6, -6, 13, 10, 12, 1, 12],\n [11, -3, 2, 18, -17, -22, 24, -7, -20, -2, -1],\n [-20, -13, 18, 12, 11, -2, -3, 17, 7, 10, 0],\n [1, 8, 11, -2, 0, -20, 2, -20, 14, -25, 15],\n [0, 20, 8, -1, 16, 7, 8, 3, -5, -18, 24],\n [-13, 15, 21, 13, 5, -24, -10, 1, -9, 18, -14],\n [-2, 6, -4, -17, 6, -8, -3, 12, -10, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[25, -23, -24, 12, 2, 20, 12, -20, 22, -6, 4],\n [6, -20, 22, 11, -1, -17, 18, -15, 12, -4, 22],\n [7, 21, 4, -2, -10, -15, -19, 22, -17, -9, 23],\n [-14, 0, -17, -22, 15, -11, -2, 22, -21, 1, -12],\n [3, -15, 11, 4, -9, 24, 17, -8, 7, 8, -1],\n [17, -24, -2, 19, -20, 13, 10, -23, -19, -4, 4],\n [-14, 19, 7, -17, 1, -20, -5, 17, 15, -10, 20],\n [19, 16, -6, -23, -10, 14, -14, -8, -1, 11, -8],\n [-2, -6, 4, 0, -10, -2, -25, 13, 14, -16, 24],\n [9, 11, -13, 17, -21, 22, -1, 10, -18, 13, -12],\n [19, -22, 18, 13, -13, -24, -11, -9, 1, 13, -9]]\nB =\n[[-25, -20, -4, -23, -6, -7, 16, -9, -22, 10],\n [-18, 20, 22, -23, -6, 3, -19, -10, 25, -15],\n [16, -19, -17, 0, 7, 22, -8, -18, -1, 3],\n [12, 10, -1, -19, 25, -7, -17, -11, -19, -14],\n [-13, -7, 12, 19, 17, 7, 13, -6, 14, -24],\n [14, 20, -13, 13, 7, 11, -16, -2, 23, 16],\n [17, 0, 5, -15, -13, 11, 16, -12, -4, -21],\n [9, 24, 17, 11, 16, -16, 16, 17, 2, 15],\n [-1, -13, 1, 15, -13, 6, 2, 1, -12, 17],\n [2, -17, -22, -25, 7, 18, 0, -25, -21, 19],\n [19, 4, 10, 20, -1, 23, 10, 4, 4, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1936", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[18, 5, 13, -24, 6, -16, -16, -8, 10, 10, -1],\n [1, -21, 0, 19, 11, 24, -23, 4, 18, -5, 16],\n [-24, -10, 3, -20, 2, -14, 4, 12, -7, -21, 24],\n [2, 11, 2, -24, -24, -25, 10, 14, -7, 19, 24],\n [13, 20, 9, 18, -20, 2, 7, 2, -14, -23, 24],\n [11, -13, 7, 25, -10, 20, 22, -11, 13, -18, -14],\n [-6, -23, -17, -16, -19, -16, 19, -4, -23, 17, -7],\n [-2, -3, -2, -19, -24, -22, 13, -19, 10, -10, 14],\n [0, 9, -24, -2, 18, 18, -21, -9, 8, 6, -4],\n [15, -11, -7, -12, -24, 19, -9, -8, 9, -19, 22]]\nB =\n[[-12, 0, -14, 23, 13, -9, -12, -22, -13, 4],\n [-9, 17, 20, 7, -7, -19, -21, -15, 24, -2],\n [-14, -21, 23, 14, 24, -23, -12, 4, 5, 24],\n [11, -2, -8, 11, -1, -10, -1, 18, 19, -16],\n [12, 18, 9, -8, -1, 3, 9, -14, -19, -2],\n [11, -1, -7, 9, 20, 6, 19, 25, -15, -6],\n [-19, -11, -7, 23, 0, -6, 9, -2, 2, -8],\n [21, 3, -14, -4, -7, 4, 3, 22, -23, 6],\n [-13, 25, -17, -3, -11, -7, 22, 16, 21, -19],\n [18, 22, -1, -10, 12, -5, -12, -6, -17, 23],\n [0, 22, -25, -5, -20, 4, -16, 2, -7, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7902", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -3, -8, 22, 2, 6, 11, -4, -9, 6, -10],\n [17, 25, 14, -2, -22, 3, 9, 0, 6, -12, -4],\n [-22, 11, 21, 24, 25, -4, 15, -3, 10, -4, 7],\n [-1, -21, 14, 13, 3, -7, 18, 18, -7, -18, 5],\n [8, 16, -22, -4, 5, 16, -22, 25, 4, -8, 0],\n [23, 6, 5, 14, -6, -17, 4, -9, -21, 4, -24],\n [8, 5, 4, 0, -17, -12, -5, 5, -18, 2, -5],\n [7, -3, -11, 4, -3, 24, 13, 15, -4, -6, 8],\n [-3, -20, -22, 18, 21, -16, 12, 10, -14, -2, -21],\n [14, 12, -20, 9, 17, -1, -21, 13, -18, -10, 13]]\nB =\n[[5, -10, 15, -23, -7, 16, -13, -13, -20, 13],\n [18, -3, 15, -20, 23, 24, -22, 13, 9, 22],\n [9, -9, 12, 16, 16, 16, -1, 3, -20, -12],\n [1, 18, 22, 9, -20, -18, 4, 2, 1, 19],\n [7, 0, -10, -12, -2, 25, 5, -25, -6, 20],\n [6, -4, -2, 25, 9, 24, -24, -20, -25, 11],\n [5, -25, 19, 6, -1, 16, 24, 24, -24, 15],\n [1, -20, -9, 18, -22, 12, -10, 16, -6, 10],\n [5, 21, 3, -25, 17, -6, 16, 1, 21, -23],\n [6, -9, -19, -8, 15, -21, 24, 20, 25, 22],\n [-23, -11, -14, 8, -23, -18, 17, -24, -7, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2637", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[6, -3, -9, 10, -11, 19, 0, -21, 2, 16],\n [-1, 17, 17, -12, -11, 25, -10, -4, 15, -7],\n [-12, 22, 9, 1, -12, 4, -24, 22, 23, -8],\n [-12, 13, -17, -4, -14, -15, -18, 6, 11, -3],\n [12, 24, 16, -4, 0, -19, 22, 3, 10, 6],\n [-7, -14, 15, 12, 0, 18, 24, 5, 15, -13],\n [-23, 20, 3, 6, 2, -14, -6, -21, 4, 23],\n [14, 11, 25, -15, -19, 23, -23, 11, -1, 11],\n [-6, 1, 17, 18, -18, -6, 22, -5, 11, 9],\n [-17, 23, -3, 5, 18, 4, -1, 4, -21, 0],\n [-21, -9, -12, -2, -4, -25, 14, 3, -11, 5]]\nB =\n[[11, 11, 21, 15, -3, 4, -1, 18, -23, 0, -12],\n [-1, 16, 13, -9, -2, -12, 1, -9, 19, 18, -15],\n [-12, -14, -19, 25, 18, 11, 7, 19, 22, 23, -9],\n [-8, 11, -22, 9, -9, 23, -10, -23, -7, -7, -20],\n [-7, -12, 18, -3, -13, 15, 3, -15, 24, -17, -23],\n [2, -16, 3, -7, -22, 14, -10, -1, 9, 12, -12],\n [-20, -13, -5, -17, -23, -5, -21, -22, -21, -23, 21],\n [22, -6, -16, 19, 11, -22, 9, -8, -11, -24, 21],\n [10, -3, -20, -17, 19, -1, 15, 10, -9, 0, -16],\n [-20, -2, 17, 22, 10, 14, -10, 15, 19, -14, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "821", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[23, -24, -4, -9, -19, -6, 10, -9, 8, -16],\n [-16, 19, 23, 19, -10, 13, -9, -5, 17, -5],\n [4, 18, -25, 16, -15, 5, 1, -8, 19, -25],\n [16, 6, 17, -19, -17, 19, 21, 0, 7, -13],\n [-19, 10, 14, -2, -12, -17, -5, -21, 20, -19],\n [-23, 18, -2, -1, -9, -15, 14, 0, -24, 24],\n [4, 22, 4, 25, -15, 20, 23, -23, 12, 3],\n [-22, 6, 25, -10, -4, -8, -15, 9, -6, -18],\n [16, -11, 24, -8, -17, -20, -11, -5, -13, -20],\n [-23, 22, -21, 5, 12, -8, 19, 4, 4, 15]]\nB =\n[[22, -18, 17, -10, -14, -2, -9, -17, 9, 2],\n [-7, 17, -3, -10, 2, -14, -5, 5, 5, 0],\n [19, 18, 16, 21, -13, -7, 20, -8, 10, 15],\n [10, 1, -22, 4, -3, -22, -7, -16, -7, 8],\n [15, 25, 3, 23, 11, -24, 1, -17, -21, 3],\n [3, 17, 15, -6, 18, -13, 6, 2, 12, -1],\n [17, -15, -7, -3, 21, -9, -21, 4, 11, 12],\n [19, 2, 11, 2, 17, -1, -16, -7, -24, -22],\n [-7, 21, -8, -14, -5, -13, 4, 24, -18, 13],\n [17, -9, -8, 16, 14, -11, -6, 21, 23, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 5, 0, -14, 16, 2, -3, 16, 21, -22],\n [-22, 4, 14, 24, -17, 0, 7, 19, -23, 10],\n [-12, -24, -22, 11, -3, -15, 9, 8, -5, 9],\n [16, -17, -12, 4, -24, -9, -11, -15, 23, 3],\n [-15, -6, -23, -19, -25, -13, 25, 15, 21, -7],\n [4, -10, -8, 5, 9, 2, 15, -1, -14, 22],\n [18, -2, 6, -3, 0, 15, -21, -13, -24, 1],\n [22, -2, -22, -6, -17, 13, -1, 24, 16, 11],\n [-23, -5, -17, 17, 17, -3, -4, -9, -13, -17],\n [-6, -3, -7, 24, -8, -9, -10, -13, -5, 10]]\nB =\n[[10, 14, -10, 20, -22, -21, -7, 3, 8, -21, -12],\n [-11, 22, -16, 5, 1, 15, -2, -5, -9, 13, 2],\n [-6, 7, -13, 12, -20, 2, 14, 17, -18, -16, -3],\n [6, 0, -25, 21, 25, 8, -22, 4, -23, 6, 0],\n [15, -12, -24, 19, 24, -22, -17, -16, 10, -18, -9],\n [17, -7, -4, 17, 9, -1, -6, -1, -11, -22, 1],\n [-21, -6, -1, -15, -5, -10, 13, -22, -3, 5, 1],\n [12, -17, 20, -19, -6, 3, -6, 1, 24, 8, -11],\n [-10, 10, 23, 20, 9, 17, 6, -22, -11, 9, 2],\n [7, 8, 0, -20, -23, 24, 3, 15, -3, -7, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3792", "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, 8, -2, 18, 12, 10, -25, 4, -3, -12, 13],\n [1, -8, -5, 11, 12, 25, -7, -10, 1, -14, -23],\n [-25, 25, 0, 4, -9, -13, 0, 20, -19, -10, -2],\n [-24, -13, 4, 9, 18, -12, 23, -12, 23, 1, -19],\n [-21, 21, 11, 21, 4, -10, -6, 17, -22, -10, 12],\n [-20, -7, 20, -10, -1, 1, 0, -19, -2, 3, -5],\n [-16, 5, 8, -20, 15, 4, 23, -2, 16, -7, -20],\n [-11, 18, 14, -24, 14, -11, -4, -7, 24, -3, 10],\n [-24, -1, -2, -7, -21, -17, -13, -18, -14, 2, -7],\n [-21, -5, 7, 15, 0, 7, 1, -23, -13, 15, -1]]\nB =\n[[-23, -6, -16, -20, -23, 16, 13, 25, -11, 14, -16],\n [11, -5, -12, -18, 9, -21, 7, 11, 9, 25, -15],\n [3, -8, 11, 16, 6, -9, -24, 2, 7, -12, 12],\n [4, -19, 10, 0, 15, -2, 23, 24, -5, -12, -11],\n [6, -12, 6, 0, 25, -8, -24, -7, -2, 25, -1],\n [-24, 20, 8, 19, 22, -17, 8, 24, 0, 19, 14],\n [-20, -14, -17, -16, -5, 24, -10, 11, 25, -9, 9],\n [-12, 3, -14, 7, -3, -22, 23, 10, -15, 5, -6],\n [-14, -22, 16, 22, -11, -15, 8, -23, 13, 6, 3],\n [-5, -7, 8, 9, -8, 20, -14, -11, 16, -16, -5],\n [-24, -7, -10, 12, 24, 21, 9, 9, -21, 19, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71379", "dataset": "MATH"}