{"messages": [{"content": "Find the value at position (5, 4) of the 6th power of the matrix:\n[[-8, 5, 14, 0, -4, -7, 14, 6, -8, 11],\n [4, 8, -4, -4, 9, 6, -11, -7, 9, -12],\n [7, 6, -13, 9, -3, -9, -13, 13, 6, -14],\n [-3, 11, 7, 14, -3, 10, 2, 12, 12, -5],\n [13, 13, 1, 0, 0, 4, -3, 8, 5, 10],\n [-12, -10, 4, -8, 6, -6, -8, 3, -11, 10],\n [13, -1, 3, 11, -6, 11, 6, -13, 5, 13],\n [0, 13, -8, -3, 14, -7, 0, -12, -1, 2],\n [-11, 3, -7, -11, -13, -9, 7, -5, -11, 7],\n [14, 3, 11, -3, -13, -5, -11, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118234332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-7, -1, 8, 13, 10, -7, 6, 1, -2, 3],\n [0, 6, 9, 11, 10, 13, 13, 13, -2, -6],\n [14, 0, -2, -14, 10, -8, -6, 9, -14, -3],\n [-7, 9, -4, 4, 2, -7, -12, -12, -14, 12],\n [-10, -5, -8, 11, -6, 13, -8, -6, -7, -3],\n [-13, -14, 1, 8, 8, 9, -10, -12, -3, -7],\n [7, 12, -12, -14, -12, -10, 0, -1, -12, -14],\n [-10, 11, 8, -1, -8, 12, -6, 0, 0, 11],\n [-5, 13, -2, 4, -8, 2, 5, 14, -11, -10],\n [8, -8, -2, 0, -4, 14, -11, -2, -8, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2935112168052", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[4, 10, 0, -11, -2, -2, 6, -4, 2, 7],\n [10, -3, -8, -1, 4, 2, -2, 10, 6, -4],\n [0, -8, 10, 12, 8, -4, -8, -4, -10, -11],\n [-11, -1, 12, -6, 0, -13, 8, 3, 3, 2],\n [-2, 4, 8, 0, -6, 4, 4, -4, 0, 9],\n [-2, 2, -4, -13, 4, -10, 5, 8, 4, 12],\n [6, -2, -8, 8, 4, 5, -10, -12, -14, -2],\n [-4, 10, -4, 3, -4, 8, -12, 8, -6, 5],\n [2, 6, -10, 3, 0, 4, -14, -6, 7, 5],\n [7, -4, -11, 2, 9, 12, -2, 5, 5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1972263741", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 1) of the 6th power of the matrix:\n[[5, 13, 12, -11, 4, 11, -12, 4, 5, -8],\n [5, -6, -14, -7, -8, 3, -7, -14, -4, 13],\n [10, 10, 3, 8, -5, -12, -8, 13, 1, 11],\n [1, 10, 5, 13, 2, -13, -14, 1, -3, -10],\n [-10, 12, 8, -6, -6, -12, 4, 1, 1, -12],\n [5, 9, 7, 9, -14, 9, 5, -4, 2, -7],\n [-11, -9, -7, 5, -12, 1, 10, -12, 10, 14],\n [3, -1, 3, -13, 7, -12, 1, 14, -6, -11],\n [-14, -11, -14, -1, 6, 1, 5, 9, -7, -8],\n [-12, 2, -14, 1, -3, 12, 4, 7, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84822368", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-1, -2, -10, -7, 8, 1, 0, 4, 11, -14],\n [-2, -14, 0, 6, -14, -2, 0, 10, 5, -2],\n [-10, 0, 2, -2, 1, 12, 13, 0, 2, -5],\n [-7, 6, -2, -10, 12, 1, -2, -4, 10, -6],\n [8, -14, 1, 12, 6, 0, -14, 1, 7, 4],\n [1, -2, 12, 1, 0, -1, 10, -1, -4, 2],\n [0, 0, 13, -2, -14, 10, 2, 0, -2, -1],\n [4, 10, 0, -4, 1, -1, 0, 11, -12, 6],\n [11, 5, 2, 10, 7, -4, -2, -12, -2, 2],\n [-14, -2, -5, -6, 4, 2, -1, 6, 2, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23515200578", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 6) of the matrix A^6 where A is:\n[[-13, -13, 8, 7, 4, 10, 11, 14, 7, 11],\n [11, 7, 2, 5, -5, -9, 0, 7, -4, 13],\n [-10, -14, -7, 6, 13, -3, -3, -10, -8, -11],\n [-9, -2, 5, 0, -12, 8, -7, 5, 1, -2],\n [3, 13, -5, 4, 2, 9, 4, 13, 11, 8],\n [11, -10, 11, 6, 8, -6, -3, 6, -14, 11],\n [11, -14, 0, -13, 7, 1, 10, -7, -2, 6],\n [-14, 1, 14, -8, -10, 7, 14, 8, -12, -3],\n [11, 1, 4, -10, 7, 10, 14, -1, 13, -10],\n [0, 2, -1, 5, -10, -3, 1, 11, 11, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112695581", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[6, -8, -11, -14, -10, 8, 11, -5, 7, -10],\n [-11, -13, 5, -5, 11, 4, 11, -14, 9, -10],\n [-2, -11, 1, 9, 1, 8, -13, 2, 13, 12],\n [5, 9, -3, 3, -12, 13, -14, -14, 14, 4],\n [-4, -10, -3, -12, -14, -14, -7, -5, -4, -3],\n [14, -2, -3, -1, -13, 14, 4, 3, -12, 8],\n [2, 11, -7, 14, 11, -5, 11, -13, 4, -6],\n [-8, -11, 11, 6, 3, -2, -4, 14, 9, -11],\n [10, 6, 14, 10, -11, -5, -10, -6, 9, -12],\n [2, -12, 1, -11, 3, 2, -8, 9, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21942412056", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 2, 8, -2, 8, 10, -12, -6, 2, 2],\n [5, 1, 10, 7, -2, 12, 4, 2, -11, -3],\n [14, -6, 4, -3, -6, -8, 13, -1, 5, 4],\n [11, 0, 1, 6, -10, -12, -3, 10, 5, 12],\n [6, -11, 6, 8, 1, 10, -8, -2, 6, -5],\n [11, -8, -1, 11, -10, -12, 8, 14, -4, -4],\n [3, 0, -3, -6, -5, 11, -3, 2, 14, -9],\n [-8, -1, -2, -7, -5, -6, 3, 12, 11, -13],\n [-10, 14, -10, -9, 4, -7, 1, -2, -14, 7],\n [5, 2, -8, 10, -2, -11, -11, -9, 13, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5889326646", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[14, -2, 0, -11, 9, 0, 9, -2, 2, 0],\n [-2, -2, -6, 2, 6, 8, 10, -8, 4, 0],\n [0, -6, -12, 2, 10, 6, 0, 0, 10, 6],\n [-11, 2, 2, -9, 8, -2, 0, 4, 14, -3],\n [9, 6, 10, 8, -4, 4, -1, 1, -4, -5],\n [0, 8, 6, -2, 4, 2, 4, 3, 0, 6],\n [9, 10, 0, 0, -1, 4, -4, -5, 4, 3],\n [-2, -8, 0, 4, 1, 3, -5, 11, 2, -6],\n [2, 4, 10, 14, -4, 0, 4, 2, -6, 1],\n [0, 0, 6, -3, -5, 6, 3, -6, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14510701308313", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[14, 4, -8, -2, 10, -2, 1, -2, -11, 1],\n [4, -13, 1, 10, 2, 10, -4, -12, 10, 5],\n [-8, 1, -14, 8, 4, -4, -2, 10, 7, 5],\n [-2, 10, 8, 2, -6, -4, -14, -6, -8, -3],\n [10, 2, 4, -6, 13, -4, -3, -9, -12, -6],\n [-2, 10, -4, -4, -4, -5, -4, 8, 4, -2],\n [1, -4, -2, -14, -3, -4, -2, 0, -8, 4],\n [-2, -12, 10, -6, -9, 8, 0, -13, -2, 3],\n [-11, 10, 7, -8, -12, 4, -8, -2, 12, -2],\n [1, 5, 5, -3, -6, -2, 4, 3, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2886541763628", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[4, -8, -9, 13, -13, -9, 3, -13, 3, 0],\n [12, 4, -13, 5, 10, -9, -14, 9, 0, 13],\n [8, -5, 4, 2, -10, 14, -11, -5, 9, 2],\n [-5, 2, 13, 5, 9, -10, -13, -9, 6, -13],\n [-2, -4, -4, 1, -4, 4, 0, 10, 8, 8],\n [1, -4, 7, 1, -7, -11, -7, -11, 9, 10],\n [-12, -12, 12, 14, 3, 14, 11, 4, 4, 6],\n [-10, 3, 13, -5, 14, 7, 6, -9, -14, -10],\n [-6, -3, 11, -1, -13, 2, -1, 11, -2, 12],\n [-6, 11, 10, 0, 10, 7, 0, 9, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2613533578034", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[14, 2, 11, -11, -14, -7, 2, -12, 14, 5],\n [0, 0, 9, 7, -1, 11, 13, 8, -1, 9],\n [-13, -2, 11, -1, 12, 9, 4, -8, -12, 0],\n [8, -1, -4, 0, 13, -2, 3, 11, -9, -12],\n [4, 0, 10, 8, -10, 13, -5, -8, 10, 2],\n [-8, 7, 11, -3, 10, 2, -2, 5, 10, -11],\n [-5, -12, -6, -2, 3, 0, -11, 0, 7, -13],\n [0, -7, -7, 2, -3, 4, -5, -6, -10, -9],\n [5, 11, -13, 12, 9, 12, -2, -9, -10, 10],\n [-14, 6, 7, 6, -9, -9, 8, 1, -11, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1093509935726", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[9, 8, -6, 8, -12, 4, -7, -10, -11, 9],\n [-9, -13, 5, 13, -4, -11, 0, -9, 7, 2],\n [9, -9, 4, 10, -13, 0, -4, -7, 11, 4],\n [-2, -3, -10, -9, 11, 7, -11, 4, 5, -14],\n [5, 2, -3, 0, -14, 11, -1, -9, -10, -4],\n [-11, -2, -4, -12, -14, -9, 3, 9, -5, -10],\n [8, -5, -3, -13, -2, -7, -13, 5, -14, -10],\n [-6, 2, -6, -4, 0, 9, -9, 8, -12, 2],\n [-10, 13, -3, 3, -1, 6, 9, -4, -6, -13],\n [-3, -12, -12, -14, -7, 7, 13, 14, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17556681461", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, -10, -1, 13, -12, 6, -10, -10, 4, 12],\n [-1, 11, -11, 10, -2, -5, 10, 3, -7, -7],\n [-8, -7, -1, 4, 14, -9, -14, 8, 0, -14],\n [10, 2, -14, 0, 8, -13, -1, 6, -7, -7],\n [4, -8, 4, -9, -9, -12, -8, 4, -7, -5],\n [5, 0, 0, 14, -14, 5, -8, 12, -11, 14],\n [-9, 10, -14, 14, -10, 12, 8, -14, -11, 7],\n [-13, -5, -10, 12, -5, -14, 7, -9, -2, 0],\n [-11, -2, 9, 5, 9, 0, 14, -7, -10, 14],\n [0, -11, -3, -2, -13, 12, 4, 4, -11, -11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "491219717218", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[11, -6, 8, -4, 0, -9, -10, -6, 1, -6],\n [-6, 8, 5, 0, 3, -2, 2, 3, -3, 2],\n [8, 5, -14, -5, -2, 2, 2, 1, -6, -7],\n [-4, 0, -5, 9, 2, 0, 0, 6, 0, 12],\n [0, 3, -2, 2, -1, 2, -6, 6, -6, 6],\n [-9, -2, 2, 0, 2, -1, -6, 9, 6, 8],\n [-10, 2, 2, 0, -6, -6, 6, -3, 3, 8],\n [-6, 3, 1, 6, 6, 9, -3, -12, -4, 10],\n [1, -3, -6, 0, -6, 6, 3, -4, 12, -3],\n [-6, 2, -7, 12, 6, 8, 8, 10, -3, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19489940197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 6, 9, -14, 2, 14, -4, 7, 11, 13],\n [3, 6, 2, -8, 2, 5, -6, 2, 5, 7],\n [7, 13, 14, -7, 2, -8, -14, -2, 8, 4],\n [12, 9, 4, 14, 2, -2, 14, 1, -7, 4],\n [3, -14, -1, 4, 0, 3, -13, 7, 13, 2],\n [3, -9, 4, -11, -14, -7, 14, 8, -8, -12],\n [-5, -5, 4, -1, -13, 13, -14, 8, 8, 13],\n [3, -8, 14, -7, -14, 10, 8, -12, 9, 8],\n [12, 14, -7, 7, 10, 0, -10, -12, 4, -14],\n [13, 0, -7, -13, -12, 9, -1, 9, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7712373583337", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[1, -11, 5, -10, 7, 6, -1, 8, 1, 3],\n [-8, -5, -8, -14, 8, 6, 4, 1, 14, 4],\n [-11, 14, 13, 3, -13, -14, 0, -10, 5, -4],\n [-5, -13, -12, 8, 8, -3, 5, -10, -10, -9],\n [-6, -13, 6, -3, -12, 5, 11, 7, -3, 9],\n [2, -5, 9, 12, -1, 8, 2, 3, 4, 2],\n [-1, -6, -7, -13, -2, 10, -8, -6, 7, 7],\n [-4, -1, -11, 11, 11, 14, -2, -13, 8, -10],\n [-4, -9, 3, 6, -5, -11, -6, -9, -13, 2],\n [-10, 10, -9, 11, -3, 8, 6, -5, 7, 6]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14628955132", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 4) of the matrix A^7 where A is:\n[[12, 1, 2, 9, 0, -1, -2, 0, -1, -2],\n [1, -5, 2, -1, -1, -2, 4, -2, 1, -8],\n [2, 2, -4, -10, 6, 3, -12, 7, 0, 13],\n [9, -1, -10, -4, -6, 4, 3, 3, -5, 0],\n [0, -1, 6, -6, 9, 6, 9, -7, 3, -6],\n [-1, -2, 3, 4, 6, -12, -4, -6, 3, 13],\n [-2, 4, -12, 3, 9, -4, 6, -6, -8, -2],\n [0, -2, 7, 3, -7, -6, -6, 10, -10, -8],\n [-1, 1, 0, -5, 3, 3, -8, -10, -3, 7],\n [-2, -8, 13, 0, -6, 13, -2, -8, 7, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2994673422", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[2, 0, -3, 1, 9, 4, -7, 6, 2, 8],\n [-10, 7, 1, -9, -7, 10, 3, 10, -3, 0],\n [12, 11, -6, -2, 11, 0, -5, 1, -8, 2],\n [8, 11, 6, 7, 11, -8, -1, 0, 6, -8],\n [-6, 4, 1, -7, 3, 12, 8, 14, 3, 5],\n [-8, -12, 3, 12, -5, -8, 2, -1, 9, -12],\n [-3, 13, -2, -13, -12, -10, -4, -7, 11, 8],\n [8, -3, -8, 0, 9, 2, -11, 14, 7, 10],\n [-2, 3, -14, 1, -2, -5, -3, -13, 8, -12],\n [-5, -13, 12, 8, -2, -2, 3, -12, 12, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90821443", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-1, 1, 1, -6, 6, 8, 4, 3, -4, 6],\n [1, 0, 4, 0, 11, -4, -1, -12, -12, 8],\n [1, 4, -1, 4, 7, -1, 4, 0, 8, 6],\n [-6, 0, 4, 0, -8, -2, 8, 10, 4, -8],\n [6, 11, 7, -8, 14, -6, 2, 4, 0, -10],\n [8, -4, -1, -2, -6, -13, 8, -3, 4, -4],\n [4, -1, 4, 8, 2, 8, 4, 4, -4, -1],\n [3, -12, 0, 10, 4, -3, 4, -12, -2, -4],\n [-4, -12, 8, 4, 0, 4, -4, -2, 5, 10],\n [6, 8, 6, -8, -10, -4, -1, -4, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4977669755", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-12, -10, -7, 2, 8, -1, 2, -2, -6, -2],\n [-10, -13, 3, 3, 10, -5, 0, 3, 12, -4],\n [-7, 3, -13, -8, -1, -2, -4, 3, 8, 0],\n [2, 3, -8, 9, 2, -4, 2, -10, 4, 0],\n [8, 10, -1, 2, -10, 6, 0, 5, 1, -3],\n [-1, -5, -2, -4, 6, 14, 1, 12, 0, 8],\n [2, 0, -4, 2, 0, 1, -14, -4, 0, 0],\n [-2, 3, 3, -10, 5, 12, -4, -6, 6, -4],\n [-6, 12, 8, 4, 1, 0, 0, 6, -8, -7],\n [-2, -4, 0, 0, -3, 8, 0, -4, -7, 6]], determine the value at position (8, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14354510", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-8, 3, -11, -13, -1, -2, 14, -3, -8, -13],\n [-2, -1, 12, 2, -6, 2, -7, -13, 13, 9],\n [-2, -12, 1, -9, 4, -8, -5, -6, -13, 13],\n [13, 0, -10, 14, 7, -11, 5, -11, 3, -11],\n [12, 2, -3, 7, 2, -5, 7, -14, 7, 11],\n [9, 12, 3, 3, -1, 0, 14, -3, -11, 12],\n [-12, 5, 14, -3, -8, 14, -4, -14, -9, 0],\n [0, 4, -4, 11, 8, 11, -13, -1, -13, 14],\n [-11, 2, -12, -2, -6, -8, 0, 8, 14, 14],\n [-4, 5, -13, 0, -1, 5, 7, -4, 12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9027285838", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[2, 1, 0, 6, 10, 2, 0, 7, -4, 11],\n [1, -9, 2, 4, -8, -3, 2, -4, 2, 0],\n [0, 2, -13, 8, -6, 6, 6, 8, 2, 8],\n [6, 4, 8, 12, 2, 13, -2, 8, 2, 2],\n [10, -8, -6, 2, -1, 7, 5, -1, -4, 4],\n [2, -3, 6, 13, 7, -12, -3, -7, 0, 2],\n [0, 2, 6, -2, 5, -3, -6, 0, 0, 3],\n [7, -4, 8, 8, -1, -7, 0, -7, -6, 2],\n [-4, 2, 2, 2, -4, 0, 0, -6, -4, 1],\n [11, 0, 8, 2, 4, 2, 3, 2, 1, 9]], determine the value at position (7, 10).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38659949780", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, 4, -4, 1, 0, -4, 6, -2, 2, 6],\n [4, -14, -4, 2, -2, 4, -11, -10, -8, -10],\n [-4, -4, -14, -2, 0, 7, 2, 2, -2, 2],\n [1, 2, -2, 11, 8, -2, -4, -5, 3, 2],\n [0, -2, 0, 8, -12, 2, -4, -4, -2, 0],\n [-4, 4, 7, -2, 2, -7, -4, 4, 8, 4],\n [6, -11, 2, -4, -4, -4, -9, 7, 6, 8],\n [-2, -10, 2, -5, -4, 4, 7, 7, 2, 2],\n [2, -8, -2, 3, -2, 8, 6, 2, -1, -4],\n [6, -10, 2, 2, 0, 4, 8, 2, -4, -9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2278658689", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[3, 4, 7, -10, 9, -6, 12, -12, 13, -5],\n [4, -12, 14, 14, 7, 0, -14, -8, -3, 2],\n [6, 11, 14, 9, 5, -10, -11, 13, -3, 5],\n [13, 9, 3, 2, 4, -6, -11, 11, 6, -13],\n [-11, -13, 0, -13, -11, -9, -8, -5, 4, 4],\n [11, 7, 14, -3, -12, -2, 3, -7, 6, 0],\n [-14, -12, 11, -7, -11, 1, 8, -5, -3, -1],\n [-1, -13, 8, -10, -10, -9, -2, -6, 7, 13],\n [14, 0, -1, 9, -8, 10, 5, -13, -8, -9],\n [2, 12, 10, 10, 13, -13, -12, -10, -10, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1081533747", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -3, 9, -11, -2, 8, 0, -4, -5, -12],\n [7, -1, 1, -5, 14, -5, -3, -6, -14, -10],\n [5, -7, -4, -3, -14, 10, 7, 5, 13, 10],\n [-4, -10, 0, -10, -3, -10, 2, 2, 9, -3],\n [9, 13, 0, 0, -9, -3, 12, 14, 5, 3],\n [-1, -13, -6, -10, 5, 11, 14, -14, 8, -12],\n [-9, -10, 6, 12, -10, -14, 2, 4, -1, -3],\n [-5, 5, 6, 3, 9, 12, -4, -13, 10, 3],\n [14, 10, -8, 9, 0, -4, 3, 8, -3, -9],\n [5, 8, -2, 5, 1, 3, -5, 13, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2776054115333", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 9) of the matrix A^7 where A is:\n[[3, 3, -6, 4, -6, 8, -9, -1, 0, 8],\n [3, -13, -2, -2, 10, 4, -2, 0, -6, -6],\n [-6, -2, -7, -7, 3, -2, -7, 5, -5, 6],\n [4, -2, -7, -14, -4, 4, -5, 1, 6, -4],\n [-6, 10, 3, -4, 3, -6, -1, -14, -7, -1],\n [8, 4, -2, 4, -6, -6, -6, -1, -6, 6],\n [-9, -2, -7, -5, -1, -6, -13, 5, 2, -8],\n [-1, 0, 5, 1, -14, -1, 5, -8, 7, 8],\n [0, -6, -5, 6, -7, -6, 2, 7, 13, 5],\n [8, -6, 6, -4, -1, 6, -8, 8, 5, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3181437702", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 9) of the matrix A^8 where A is:\n[[-7, -1, -1, -5, -13, -1, -6, -12, 6, 11],\n [-7, 1, -13, -9, 13, 6, 14, 11, 10, -3],\n [-10, -13, 1, -10, 0, -3, -11, 0, -4, 1],\n [8, -9, -1, 3, -3, 12, -4, -2, 6, 8],\n [-4, 8, 1, 0, 6, 13, 0, 10, -11, -4],\n [4, 0, -11, 6, -2, 7, 4, -13, -1, 14],\n [-11, 1, 6, 5, -1, 12, 14, 0, 13, -12],\n [-7, 1, -5, -11, 3, -13, 2, -2, -11, 11],\n [10, -4, -8, -3, -5, -8, -2, -8, 9, 2],\n [-5, 14, -5, 9, -11, 5, -11, 7, -8, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215081448401", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-14, 2, 10, -6, -1, -6, 6, 4, 11, -2],\n [2, 6, 8, 1, -1, 4, -9, 5, -6, 10],\n [10, 8, 14, -1, -9, -2, 7, -6, 2, 2],\n [-6, 1, -1, 9, 0, -12, 2, -10, -2, 2],\n [-1, -1, -9, 0, -14, 8, 0, -9, -2, -3],\n [-6, 4, -2, -12, 8, 6, -2, 6, -4, -6],\n [6, -9, 7, 2, 0, -2, -6, 1, 4, 6],\n [4, 5, -6, -10, -9, 6, 1, -12, 4, -2],\n [11, -6, 2, -2, -2, -4, 4, 4, -1, -2],\n [-2, 10, 2, 2, -3, -6, 6, -2, -2, -10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8350660901", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-14, -11, -12, -6, -7, -14, 12, -9, -6, -8],\n [-11, -2, 2, 13, -13, 13, -10, -3, 12, 6],\n [-7, -9, -7, 3, -12, 7, -3, 14, 11, -12],\n [7, -9, -13, 8, -3, -13, -9, 2, -12, -13],\n [8, 5, -7, 7, -3, 11, -11, -10, -2, 14],\n [0, 10, 8, 1, -5, 10, 8, 1, -3, 2],\n [1, -3, -7, 5, -12, 1, -2, 8, 13, 4],\n [-7, 7, -10, 5, -7, 9, -3, -14, 10, 6],\n [5, -9, 7, 3, -7, -8, -14, 6, 1, -3],\n [-9, 5, -13, 14, -1, -11, -14, 8, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59576207066", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-13, -6, 6, -13, 12, 10, -6, -14, -4, -12],\n [5, 8, 11, -11, 3, 8, -9, -12, 7, -4],\n [0, 7, 13, -10, 5, -5, -3, 0, 2, -5],\n [-9, 3, -2, -12, 9, -5, -1, -9, -12, 1],\n [-8, 5, -1, -6, 0, 6, -12, -13, 12, -13],\n [-12, 3, -1, 5, 3, -5, 10, -13, 10, 14],\n [7, -14, -11, -1, -14, -1, 1, 7, -1, 14],\n [5, -12, -12, -6, -9, 10, -2, 6, -13, -7],\n [6, -13, -11, 10, 0, -11, -2, 13, -3, 13],\n [-2, -1, 5, 3, 14, 13, -9, 14, -4, -13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96964804702", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[13, 8, 4, 4, -10, 4, -13, -5, 10, -13],\n [-4, 3, 14, 9, 0, -6, 8, 4, -6, -12],\n [6, -6, 13, -1, 4, -8, 1, 1, 13, -14],\n [-11, -11, -8, -7, 2, -10, -8, 13, 5, 14],\n [5, -11, 13, -9, -8, 3, -10, 5, 14, -12],\n [-8, 12, 13, 7, -1, -8, -10, 14, 7, -10],\n [8, -13, 12, 6, 7, -9, 0, 6, -5, 8],\n [11, 9, -8, -10, -14, -2, 6, 11, 3, -2],\n [6, 6, 3, -10, -2, -11, 2, -12, 2, 13],\n [-4, 6, 5, 8, 6, 11, -11, -13, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11786707914", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[13, 3, -7, -12, -6, 14, 5, 14, -9, -5],\n [6, -5, -2, 2, -6, 2, 9, -6, -6, -14],\n [-13, 13, 1, 14, -14, -5, 3, 11, 13, -7],\n [6, 13, -4, 8, -13, -7, 12, 7, -7, 2],\n [0, 2, 13, 8, 9, -2, 4, -10, -3, -14],\n [8, -10, -7, -2, -7, 10, 8, -4, -14, -2],\n [4, 9, -12, 9, 2, -10, 5, 6, -7, 11],\n [-1, -11, -4, 5, 0, 4, -8, 4, 13, 4],\n [-4, 11, -10, -10, 7, -7, -5, -9, 0, 1],\n [13, 2, -7, -7, 10, -6, -13, 0, 3, -12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2100483721228", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[2, -11, -11, -1, -6, -6, 10, 11, 8, 3],\n [-5, 6, -11, -3, 12, -7, -13, 7, -2, 6],\n [1, 13, -13, -4, -5, 0, 2, -7, 3, 8],\n [-6, 10, -7, 12, -1, 13, 11, 10, 3, 7],\n [5, 5, 6, -3, 4, -1, 2, 9, 6, -12],\n [11, 8, -8, 2, -3, -6, 0, 3, 6, -2],\n [6, -7, -1, -7, -1, -8, 8, -3, -4, 7],\n [7, -4, 10, 7, 13, 14, -2, 3, -13, 14],\n [6, 0, 5, 12, 3, 0, 4, 8, 9, -3],\n [-2, 7, -4, -10, 14, -14, 9, -12, 7, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3220639705", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[8, 14, -8, -3, 0, 10, -10, 0, -7, -5],\n [11, 1, -7, -14, -3, -10, -12, -14, -11, -7],\n [-12, -5, -13, -4, 10, -5, 6, -1, -8, 12],\n [12, -13, -6, 1, -2, -6, 5, -11, 7, -5],\n [11, 11, 7, -3, 2, -1, -1, 10, -13, 6],\n [10, 5, -4, 1, 4, 8, -9, 9, 4, -10],\n [11, -11, 0, 14, -11, 5, -5, 9, 7, -12],\n [11, -10, -9, 6, 7, -7, -8, 6, -5, -9],\n [-1, -11, 13, 10, -2, 5, 2, 8, -8, -11],\n [14, -1, -12, 9, -10, 1, 11, 8, 5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1677201460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[9, 9, -13, 3, 4, 13, 13, 4, 2, -1],\n [4, 7, 9, -2, -3, 11, -9, 6, -11, 4],\n [1, -2, -11, 8, 2, 8, -14, 3, 5, 2],\n [12, 13, 12, 0, -4, 10, 13, 7, -2, -14],\n [2, -9, -11, 5, 1, 0, 12, 0, -9, 0],\n [-1, 13, -4, -8, -6, 11, 1, -10, 10, 5],\n [14, -5, 3, -12, -2, -4, 2, 7, -2, -9],\n [2, 12, -2, 4, 6, 4, -5, -12, -1, 11],\n [4, -10, 14, -10, 5, 2, 6, -5, -10, -11],\n [-9, 11, -11, -8, -8, 3, -12, -14, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4823940140002", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 9) of the 6th power of the matrix:\n[[-11, -9, -6, 7, -1, 13, -3, 13, 10, 5],\n [9, 10, -11, 6, 9, -3, -5, 7, 13, -8],\n [-12, 8, 13, -1, 9, -5, 1, 1, 7, -5],\n [10, -2, -9, -3, -6, -2, -11, 9, -4, 5],\n [3, 11, -4, 10, 6, -11, 3, -14, 12, -8],\n [-9, 0, 3, 9, -4, 5, 9, 0, 1, -8],\n [6, -5, 11, -3, 9, -1, 10, -10, 11, 6],\n [3, -10, -12, 8, 11, -10, 9, 2, 4, 4],\n [10, 6, -3, 10, 14, -6, -14, 3, 6, -11],\n [-5, 10, -8, 7, 8, -14, 2, 9, 14, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18133400", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 4) of the 8th power of the matrix:\n[[-13, 2, 6, 2, -1, -4, 10, -5, 5, -8],\n [2, -1, 0, -8, -6, 2, 0, -8, -2, 1],\n [6, 0, -13, 2, -10, -3, -3, 0, 13, -8],\n [2, -8, 2, 0, 0, -2, 12, -1, -1, -2],\n [-1, -6, -10, 0, 5, 6, 1, -3, 0, 10],\n [-4, 2, -3, -2, 6, 7, 8, 9, 2, 12],\n [10, 0, -3, 12, 1, 8, 2, -12, 0, 2],\n [-5, -8, 0, -1, -3, 9, -12, -9, -2, -3],\n [5, -2, 13, -1, 0, 2, 0, -2, -4, 0],\n [-8, 1, -8, -2, 10, 12, 2, -3, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25057059563", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-7, 10, 3, -5, -3, 4, -6, -10, 8, 2],\n [10, 5, -3, 5, -8, -5, 6, 1, -2, -12],\n [3, -3, -4, -3, -6, -14, 0, 0, 9, 0],\n [-5, 5, -3, -4, -6, -11, -12, 6, 2, -4],\n [-3, -8, -6, -6, 8, 7, -12, -4, -2, 2],\n [4, -5, -14, -11, 7, -9, 10, 8, 4, 12],\n [-6, 6, 0, -12, -12, 10, 5, -11, 4, 0],\n [-10, 1, 0, 6, -4, 8, -11, 3, -6, 2],\n [8, -2, 9, 2, -2, 4, 4, -6, -6, 6],\n [2, -12, 0, -4, 2, 12, 0, 2, 6, 13]], determine the value at position (6, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16639752564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[9, 11, -14, 6, -12, 5, -13, -6, 4, 0],\n [3, 11, -4, 10, 8, 1, 7, 2, -10, -3],\n [-4, 0, 12, -12, -14, 5, 14, 1, -13, -13],\n [-12, -7, 9, 13, 0, -8, -9, -6, 5, 13],\n [-14, -7, 8, 8, -12, -11, 11, 10, 0, -9],\n [0, 6, -12, 10, 6, 6, -1, 5, -1, -11],\n [-3, 2, -8, -6, -12, 13, -2, 0, 3, 4],\n [-14, -9, 12, 12, 8, 12, 12, -13, 9, -1],\n [-9, -1, -11, 6, -7, -12, 4, -1, 12, 5],\n [2, 10, -7, 9, -1, 11, -9, 8, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370000592", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 4) of the 6th power of the matrix:\n[[10, 1, 0, -1, 0, 4, 0, -8, 0, 1],\n [1, -8, 2, -10, 6, 6, -2, -1, 8, 6],\n [0, 2, -1, 9, -8, 6, 5, -7, -10, 0],\n [-1, -10, 9, 5, 0, -4, -2, -4, -2, -4],\n [0, 6, -8, 0, 12, -1, 8, 0, -14, -3],\n [4, 6, 6, -4, -1, 8, 4, 14, -2, 0],\n [0, -2, 5, -2, 8, 4, 6, -8, 0, 0],\n [-8, -1, -7, -4, 0, 14, -8, 14, 1, -4],\n [0, 8, -10, -2, -14, -2, 0, 1, 0, 2],\n [1, 6, 0, -4, -3, 0, 0, -4, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107293259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (1, 4) of the result:\nA =\n[[14, 7, -7, 6, 4, -9, 5, 10, 14, 4],\n [-11, 8, -8, 13, 13, -11, 7, -3, -2, -12],\n [7, -3, -13, 9, -13, 12, 8, -6, -14, -7],\n [8, -9, -9, 7, 10, 3, 2, 14, -3, -9],\n [11, 12, -7, 4, 13, -5, -14, 10, 14, -2],\n [2, -12, -7, -1, -12, 1, -2, 5, 9, 2],\n [-2, 14, -9, 2, -1, 2, -7, -4, 5, 13],\n [-14, 11, -8, 6, 6, 2, -5, -4, 7, -6],\n [-6, 9, -10, 2, -6, 2, 9, 6, 4, 12],\n [-8, 8, -6, -8, -2, -4, -1, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447307751", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-1, -2, -14, -7, -3, 4, -3, -7, -7, 14],\n [6, -2, -3, 14, 1, -14, -2, 11, -8, 13],\n [11, -10, -7, 10, 12, -1, 8, -2, 0, 8],\n [2, 0, 5, 3, 3, -13, -11, -14, -11, 3],\n [-10, 4, 0, 13, -7, 5, 2, -14, -3, 11],\n [4, 0, -6, -8, -13, 14, -6, -5, -13, 4],\n [-4, -2, -5, -1, 3, 4, 7, -6, 10, -8],\n [13, -12, 5, -9, 12, 6, -13, 14, -9, -12],\n [1, -7, -13, 2, -6, -3, -12, -4, -14, 8],\n [-2, 0, 11, -10, 6, 2, 10, 8, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377808268", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-9, 4, 2, 7, -6, -1, -4, -13, -3, 6],\n [4, 6, -4, 0, 1, 5, -11, -12, -7, 8],\n [2, -4, -6, 10, -8, 0, -4, 6, 0, 0],\n [7, 0, 10, -14, 9, 2, -10, 4, 12, 1],\n [-6, 1, -8, 9, -14, -13, -6, 4, 8, 14],\n [-1, 5, 0, 2, -13, -4, 0, 1, -2, 1],\n [-4, -11, -4, -10, -6, 0, 5, 9, 2, -2],\n [-13, -12, 6, 4, 4, 1, 9, 9, 4, -8],\n [-3, -7, 0, 12, 8, -2, 2, 4, 12, -8],\n [6, 8, 0, 1, 14, 1, -2, -8, -8, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81568819361232", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 8) of the 8th power of the matrix:\n[[14, -10, -5, 13, -10, -12, 8, -9, -11, 3],\n [13, -6, 2, 14, -2, 12, 0, 5, 2, -2],\n [1, 7, -11, -10, -10, -6, 2, -2, -13, -2],\n [7, 6, 12, 8, 4, -12, -5, -13, -2, 4],\n [11, 2, 6, -1, -3, 6, -3, -4, -8, -11],\n [4, -14, 13, 9, 14, -12, -2, 0, -13, -4],\n [-11, 4, 14, 2, -12, 13, 3, -7, 7, 10],\n [9, 11, 4, -10, -8, 6, -7, 13, -10, 2],\n [-10, -11, 7, 4, 12, 6, -13, -4, 7, -2],\n [0, -3, 7, 6, 7, -4, -8, 13, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31760794791", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, 8, -5, 0, 0, 0, -4, -5, -4, -2],\n [8, 1, -8, 0, -2, -4, 4, 9, -1, -8],\n [-5, -8, 9, 7, -1, -1, 5, 2, 7, -2],\n [0, 0, 7, -1, 0, -2, 10, 0, 0, -6],\n [0, -2, -1, 0, 1, -1, -3, 6, -7, -6],\n [0, -4, -1, -2, -1, -9, -4, 6, -3, -6],\n [-4, 4, 5, 10, -3, -4, 7, 6, 5, 3],\n [-5, 9, 2, 0, 6, 6, 6, -13, -6, 0],\n [-4, -1, 7, 0, -7, -3, 5, -6, 11, -6],\n [-2, -8, -2, -6, -6, -6, 3, 0, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6574891164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-10, -2, -7, -7, -10, 13, -6, -14, -11, -12],\n [-13, -7, 8, -6, -13, -1, -1, -11, -9, -4],\n [-12, -7, -12, -1, 13, -2, -2, -13, -2, 14],\n [4, 12, -9, 1, -13, -7, 2, 8, -13, -5],\n [13, 1, -9, 13, -13, -13, 11, -2, 9, 0],\n [13, -13, -8, -12, -7, 8, -1, 9, 8, 12],\n [7, 14, -8, 6, -8, -14, 2, -6, 6, -2],\n [6, 4, 6, 4, 10, 10, 7, 2, 8, 8],\n [-5, -5, -11, -7, 7, 5, 5, 3, -1, 3],\n [13, -1, 5, 6, 9, 0, 7, -11, -2, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13899510146671", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[8, -6, 3, -6, 1, 2, -2, 2, 2, -8],\n [-6, -6, 2, 0, 6, 6, 6, 10, 8, 0],\n [3, 2, -9, 6, -2, 0, 8, 0, -8, -7],\n [-6, 0, 6, 14, 5, -2, -2, -4, -2, 3],\n [1, 6, -2, 5, -11, -1, 8, -2, 7, -6],\n [2, 6, 0, -2, -1, -3, 8, -6, -2, 9],\n [-2, 6, 8, -2, 8, 8, 10, 0, 7, -2],\n [2, 10, 0, -4, -2, -6, 0, -14, 7, -6],\n [2, 8, -8, -2, 7, -2, 7, 7, 4, 8],\n [-8, 0, -7, 3, -6, 9, -2, -6, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131905203637", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, 0, 1, 3, -1, -12, -3, -6, 13, -8],\n [-6, -2, 3, -10, -2, -11, -13, 1, -6, -6],\n [-9, -4, 7, 9, 7, -14, -11, -2, 8, -2],\n [-2, -13, -6, 9, -7, -8, -11, 3, -12, 13],\n [-9, -3, -3, 6, 13, -7, 7, 7, -14, -11],\n [6, 13, -4, -12, -2, 10, 2, 7, 7, -5],\n [6, -3, 0, 6, -5, -1, -2, -10, -9, 9],\n [-13, 7, 2, -11, -1, -5, -12, 10, -12, 0],\n [-9, 2, -3, 7, 5, 9, 14, -4, 10, -11],\n [11, 13, 11, -9, -14, 5, 8, 13, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7570487066", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, -7, 13, 11, -3, 12, 7, 6, -5, 12],\n [0, -6, -13, -10, -9, -8, 6, 10, -14, 8],\n [11, -8, 5, 10, -3, 1, 1, -4, 6, -11],\n [-2, -8, -11, 0, 4, -6, -4, -7, -14, 8],\n [10, 9, -7, -2, 7, 12, -11, -7, -12, 14],\n [-6, 14, -13, -13, 13, -2, 0, 13, 8, -3],\n [11, -11, 11, -7, -6, 8, -10, 9, 5, 3],\n [-4, 0, 13, 7, -6, 2, 12, 11, -3, -8],\n [-5, 10, 11, 10, -5, 12, -2, 4, -4, -2],\n [6, -7, -7, -11, 0, 13, -4, -4, -14, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "391874806", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[0, 4, -1, 4, -2, 7, 0, -5, -8, -2],\n [4, 11, -6, -4, -10, 0, -4, 2, -8, 8],\n [-1, -6, 3, -9, 13, -8, 6, 8, 4, 4],\n [4, -4, -9, -9, 0, 3, 0, 0, 2, -8],\n [-2, -10, 13, 0, -3, -3, 2, 2, 0, -6],\n [7, 0, -8, 3, -3, 13, 4, 0, 3, 4],\n [0, -4, 6, 0, 2, 4, 11, 0, 6, -6],\n [-5, 2, 8, 0, 2, 0, 0, 7, -5, 4],\n [-8, -8, 4, 2, 0, 3, 6, -5, 2, -4],\n [-2, 8, 4, -8, -6, 4, -6, 4, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11934304707", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-11, 4, 0, -6, -5, 3, 0, 5, 10, -2],\n [4, 14, 1, -1, -4, -12, -8, 2, 0, 2],\n [0, 1, -4, 9, 2, 2, 8, -1, -8, 10],\n [-6, -1, 9, 7, -10, 13, 1, 10, -4, -8],\n [-5, -4, 2, -10, -6, 0, 10, 10, 8, -6],\n [3, -12, 2, 13, 0, 2, 0, 4, 6, 6],\n [0, -8, 8, 1, 10, 0, -1, -4, -1, -8],\n [5, 2, -1, 10, 10, 4, -4, -14, 8, -2],\n [10, 0, -8, -4, 8, 6, -1, 8, -4, -4],\n [-2, 2, 10, -8, -6, 6, -8, -2, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9727645990", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[14, -4, -10, -3, 4, 2, 0, -2, -6, 8],\n [-4, 4, 2, 14, 1, 4, -2, -5, 0, -10],\n [-10, 2, -1, -9, 10, 4, -4, -5, 6, 4],\n [-3, 14, -9, -6, -5, -2, -6, -1, -3, 10],\n [4, 1, 10, -5, 11, 7, -1, -8, -10, -6],\n [2, 4, 4, -2, 7, -11, -6, 12, 0, -1],\n [0, -2, -4, -6, -1, -6, 8, 10, 0, 9],\n [-2, -5, -5, -1, -8, 12, 10, 10, 2, 2],\n [-6, 0, 6, -3, -10, 0, 0, 2, 6, 2],\n [8, -10, 4, 10, -6, -1, 9, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "622259358955", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-11, 0, -6, -10, -2, 8, 11, 3, -10, 10],\n [1, 12, 4, -1, 10, 1, 12, 0, 7, -11],\n [-8, 1, 9, 7, 6, 7, 6, -7, 2, 1],\n [12, 8, -5, -5, 12, -13, -6, 2, -4, -5],\n [7, 10, 2, -11, 1, 5, 0, 10, 12, 6],\n [-10, -9, 2, -14, 10, 4, -11, 2, -6, 9],\n [-13, -7, 0, -8, 12, -9, -14, 0, 8, 11],\n [-8, 14, 10, 2, -13, 12, -6, 14, -6, -2],\n [-9, -9, 5, 5, 6, -12, 2, 2, -3, 1],\n [0, -2, 8, -14, 2, -12, 11, 0, -11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148306288", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[3, 0, 7, -6, 0, -1, 0, -2, 10, -10],\n [0, -13, 0, 0, 0, 0, 8, 10, 8, -2],\n [7, 0, 2, -4, 4, 0, -5, -7, 6, 4],\n [-6, 0, -4, 1, -12, -2, 0, -4, 1, -7],\n [0, 0, 4, -12, -3, 4, -4, 10, 7, 8],\n [-1, 0, 0, -2, 4, 9, 4, -8, 6, -6],\n [0, 8, -5, 0, -4, 4, -7, 8, -1, 1],\n [-2, 10, -7, -4, 10, -8, 8, -9, -14, -9],\n [10, 8, 6, 1, 7, 6, -1, -14, 3, -5],\n [-10, -2, 4, -7, 8, -6, 1, -9, -5, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "851718413565", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-2, 10, 9, -9, 6, 2, -5, 4, -1, 10],\n [10, 9, 10, 8, -2, -3, 0, -10, -2, -9],\n [9, 10, -5, 6, -9, -1, 12, -2, 7, -10],\n [-9, 8, 6, 5, -10, 6, 3, -6, -6, -2],\n [6, -2, -9, -10, 10, -8, 4, -3, 4, 10],\n [2, -3, -1, 6, -8, 8, -2, 0, 13, 5],\n [-5, 0, 12, 3, 4, -2, -3, -2, -3, -8],\n [4, -10, -2, -6, -3, 0, -2, 0, 12, 0],\n [-1, -2, 7, -6, 4, 13, -3, 12, 13, -6],\n [10, -9, -10, -2, 10, 5, -8, 0, -6, 12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "855154478", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[7, 4, 1, 6, 12, 9, 7, -11, -13, 10],\n [-2, 13, -14, 2, -2, -11, -8, 2, -6, -11],\n [4, -14, -5, -11, -6, -2, -1, -5, -9, 1],\n [-9, 2, -5, 3, 12, 7, 3, -12, 5, 12],\n [6, 10, 13, 0, 0, -11, 14, 12, -6, 12],\n [11, 4, 9, 13, 2, -4, 10, -6, -5, 3],\n [5, -2, -7, -8, 2, 6, 8, 0, 5, 0],\n [-14, 10, -1, -10, -4, 1, -13, -7, -4, 14],\n [3, -12, 11, -14, -4, 1, 3, 1, 8, -5],\n [3, -9, 4, -11, 12, -2, 9, -1, -12, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265504651974", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 8) of the 7th power of the matrix:\n[[-9, -6, -3, 10, 4, -2, -4, -2, -4, -8],\n [-6, -6, 10, -6, -7, 0, -11, 4, 0, 5],\n [-3, 10, -10, 3, 2, 8, 10, 4, -8, 14],\n [10, -6, 3, 13, 2, 2, -10, 2, 2, 12],\n [4, -7, 2, 2, 3, 0, 3, -7, 8, 10],\n [-2, 0, 8, 2, 0, -4, -1, 6, -4, 4],\n [-4, -11, 10, -10, 3, -1, 3, 2, -13, 0],\n [-2, 4, 4, 2, -7, 6, 2, 13, -2, 6],\n [-4, 0, -8, 2, 8, -4, -13, -2, -10, -4],\n [-8, 5, 14, 12, 10, 4, 0, 6, -4, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4085454329", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[11, 5, 9, 10, -2, 8, -1, 8, -10, -11],\n [-1, -5, 2, -5, 11, -8, 1, -14, 2, 6],\n [14, -6, -9, 4, -2, -12, -8, 7, -6, 7],\n [-10, -5, 8, 2, -3, 8, 1, -12, 10, 7],\n [-6, 14, 0, -10, 8, -2, -1, 5, 0, 1],\n [8, -2, 2, 8, -7, 6, -13, -10, -9, -3],\n [3, 7, 7, -14, 2, -4, -5, 4, -1, 11],\n [-5, 0, 13, 4, -11, -13, -6, -5, 13, -4],\n [-1, -8, 8, 0, 7, 4, 7, 0, 13, 9],\n [-7, -4, 14, -6, 0, -14, -14, 4, -12, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8227602316", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 0, -5, -14, 14, 3, -13, 4, -2, 7],\n [-14, -13, 14, 1, 0, -2, 1, 2, 6, 14],\n [14, -8, 9, 11, 2, -8, -2, -10, 11, 2],\n [-12, -8, 11, 2, -8, 6, -14, 2, 2, -4],\n [10, 12, 14, -12, 0, 14, 6, -4, 11, 13],\n [1, 10, 7, 13, -6, 9, 9, -14, 14, 10],\n [7, 1, -6, 4, -3, 4, 7, -6, -8, -1],\n [14, 4, 4, -13, -6, -2, 0, -12, -4, 6],\n [-1, 10, -7, 3, 4, 1, -13, -7, 7, -9],\n [-3, 0, 10, -7, -11, 0, 13, 5, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2121198927132", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-2, 3, -13, -2, -2, 7, 0, 5, 14, 12],\n [-5, 14, -12, 4, -12, 7, -1, -7, 12, 8],\n [-11, 12, 13, 5, -4, 11, -4, 12, -4, -13],\n [2, -6, 13, 13, -13, 14, 9, 0, 1, 10],\n [-11, -7, -6, 11, 11, -10, 1, -2, -8, 11],\n [5, 2, -12, -10, 4, -3, 14, 12, -8, 13],\n [-6, 13, -9, 14, 11, 2, 1, 8, -12, 6],\n [11, -11, -5, -10, 6, 7, -5, -3, -5, 14],\n [-2, -4, 7, 1, -7, -7, 12, 10, -7, -2],\n [12, -13, -3, -5, -3, -4, 0, 1, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7805934743942", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-13, 3, -3, 4, 11, 8, 3, 2, -9, 10],\n [0, -12, -9, -12, 14, -14, -2, 13, 6, 11],\n [-1, -2, 12, -11, -8, 7, -5, -8, 6, 0],\n [0, -11, 8, 8, -9, 9, 5, 11, -10, 5],\n [-3, -14, 13, -7, -14, -10, 7, -9, 14, 6],\n [-12, 0, -10, 13, 9, -1, 3, 1, -9, 10],\n [9, -1, 12, 9, -7, 14, -8, -7, -2, -9],\n [3, -13, -7, -4, -14, 7, 14, -9, 1, 12],\n [5, -3, -4, 14, 12, 14, -5, -12, -2, 12],\n [-12, 0, 1, 14, -2, 2, -12, 5, -4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1145553330324", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[6, 4, 7, -4, 13, 1, 6, -12, 7, -9],\n [-1, 9, 3, 2, -11, 8, 0, -4, 11, -12],\n [-12, 1, -10, 6, 14, -5, 4, 10, -11, 14],\n [14, 4, -4, -13, -5, 14, -4, 10, 5, 1],\n [4, 8, 9, -4, -1, -13, 8, 13, -10, 12],\n [-10, 4, 6, -3, 3, -11, 7, 2, -5, 5],\n [-9, 10, -1, -4, -4, 14, 3, 12, 8, 7],\n [3, 9, 8, -4, 6, -3, -10, 8, -6, 12],\n [10, -6, 7, -5, 7, 4, -14, -8, -11, -14],\n [0, -7, -3, 7, 7, 3, 0, 2, 14, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-336749350323", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (4, 10) of the result:\nA =\n[[-1, 0, 2, -2, 2, -1, 6, 9, -4, -6],\n [0, -7, -3, 1, -2, -6, 9, 4, 12, 5],\n [2, -3, -10, -2, -2, -2, -10, 6, 8, 0],\n [-2, 1, -2, -4, 8, 3, -6, 14, -4, 7],\n [2, -2, -2, 8, 1, 6, -1, -8, -2, -6],\n [-1, -6, -2, 3, 6, 6, 4, 8, -10, -2],\n [6, 9, -10, -6, -1, 4, 8, 9, -2, -2],\n [9, 4, 6, 14, -8, 8, 9, -3, -3, 4],\n [-4, 12, 8, -4, -2, -10, -2, -3, -3, 6],\n [-6, 5, 0, 7, -6, -2, -2, 4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52811412", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 10) of the matrix A^7 where A is:\n[[5, -12, -10, 10, -7, -7, -7, -3, 9, 8],\n [-7, -4, -1, -7, 14, 9, 13, -5, -8, 13],\n [2, -11, 14, -2, -11, -10, 11, 7, -11, 3],\n [-9, 9, 9, 8, 7, -13, 8, -4, 13, -1],\n [-10, -9, -5, -7, -1, 9, -12, -3, 1, 13],\n [8, 2, -14, 8, -5, 10, 8, -5, 6, 9],\n [-13, -6, 7, -2, 10, 1, 3, 4, -3, -7],\n [2, 0, -5, 0, 0, 8, -8, -2, 2, -6],\n [-7, 5, 11, 12, 6, 3, -2, 1, -6, -3],\n [-3, -9, 4, 13, -8, 10, -12, 1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2622973567", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) of the matrix A^6 where A is:\n[[8, -9, 1, 9, 0, 2, 4, 2, 2, -2],\n [-9, -9, -2, -7, 2, 5, 8, 2, 8, 0],\n [1, -2, -7, 12, 3, 7, -8, -6, 10, 12],\n [9, -7, 12, -12, -4, 10, -3, 2, 0, 7],\n [0, 2, 3, -4, 10, 2, -6, -2, -1, 0],\n [2, 5, 7, 10, 2, -10, 2, 0, 3, 2],\n [4, 8, -8, -3, -6, 2, -2, -10, 0, -3],\n [2, 2, -6, 2, -2, 0, -10, -14, 4, -6],\n [2, 8, 10, 0, -1, 3, 0, 4, -1, -2],\n [-2, 0, 12, 7, 0, 2, -3, -6, -2, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74203853", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 8) of the matrix A^6 where A is:\n[[10, 8, 2, 8, -12, 8, 4, -2, 0, 1],\n [8, 14, -4, 4, -3, 3, 1, 7, -3, -2],\n [2, -4, 4, -4, -6, -6, -2, 2, -4, 0],\n [8, 4, -4, 10, 3, -6, 2, -4, -6, 0],\n [-12, -3, -6, 3, -6, 6, 0, -4, -7, -4],\n [8, 3, -6, -6, 6, -3, -14, 0, -2, 4],\n [4, 1, -2, 2, 0, -14, 11, 2, 1, 9],\n [-2, 7, 2, -4, -4, 0, 2, -10, 4, 3],\n [0, -3, -4, -6, -7, -2, 1, 4, 2, -2],\n [1, -2, 0, 0, -4, 4, 9, 3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4912248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[9, -9, 13, -13, -9, 8, -10, 4, 5, -11],\n [7, 11, 2, -4, -11, 11, -2, 5, 11, 2],\n [-6, -11, 8, 13, -1, 4, 11, 13, -12, -1],\n [-7, 9, 12, 13, -14, -5, 3, 1, -7, -14],\n [-3, -7, 9, 1, 3, -11, -9, -3, 12, -6],\n [0, 1, 9, -3, 9, 8, -1, -2, 10, -13],\n [-12, 11, 9, 7, -5, -6, 11, 5, -7, -5],\n [4, -12, 9, -10, -12, 11, 12, 1, 2, 0],\n [-12, -3, -6, 6, -3, 11, 0, -13, 8, 3],\n [5, -3, 8, -11, 8, 1, 8, 1, -14, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14393454702", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[10, -13, -12, 11, 6, 10, 5, 2, 5, 7],\n [6, 14, -14, 5, -9, 14, 0, 11, 11, -1],\n [5, 0, -1, 10, 6, 9, 10, 11, -10, -9],\n [2, -4, 1, -3, 0, 8, -11, 12, 3, 6],\n [13, -12, 7, -7, 8, -12, -7, 3, -5, 10],\n [5, 2, -7, 8, -4, 14, -10, 11, -2, 6],\n [8, -10, 9, 12, -2, -9, 14, -10, -6, 12],\n [1, -13, -14, -7, 13, 4, -4, 13, -3, -3],\n [-8, 11, -2, 12, -7, 14, 14, 7, 13, 11],\n [-6, -8, 11, 6, 9, 0, -13, 8, 5, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136752934743", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-3, -14, 8, 7, -7, -10, 0, -14, -14, 10],\n [-5, 7, -5, 6, 0, 2, 7, -9, -12, -2],\n [1, -7, 0, 2, 2, 7, 11, -2, 2, -9],\n [2, 1, -1, -2, -9, -12, -1, -1, 0, -7],\n [14, 0, 7, 14, 12, -2, 2, 6, 9, -12],\n [13, -9, -10, 7, 11, 2, 8, 10, -13, 11],\n [0, -10, 11, 5, -9, -9, 12, 3, 3, -11],\n [2, 10, -1, -1, -2, -8, -3, 8, 0, 4],\n [-4, 0, -3, -12, 2, -12, 4, 5, -11, -12],\n [11, 1, -3, -7, 9, 14, 14, 2, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4230732284", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, -7, 0, -8, -4, -2, 10, 1, 0, -2],\n [-7, 0, 1, -8, 13, 8, 12, 0, 0, 1],\n [0, 1, -2, -8, -1, 0, 4, 1, -6, -7],\n [-8, -8, -8, -13, -3, 2, 4, 4, 0, 0],\n [-4, 13, -1, -3, -12, -9, -6, -2, 0, 0],\n [-2, 8, 0, 2, -9, -4, -6, -1, -7, -9],\n [10, 12, 4, 4, -6, -6, 14, 2, -4, -8],\n [1, 0, 1, 4, -2, -1, 2, 5, -10, 4],\n [0, 0, -6, 0, 0, -7, -4, -10, -11, -6],\n [-2, 1, -7, 0, 0, -9, -8, 4, -6, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81812077230", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 1) of the matrix A^8 where A is:\n[[7, -1, 2, -8, -2, 4, -2, -5, -4, 2],\n [-1, 8, 2, -8, 7, -5, 0, -1, -5, 8],\n [2, 2, 14, 4, -1, -2, 1, 6, 5, 0],\n [-8, -8, 4, 1, -3, 3, 2, -6, -2, 10],\n [-2, 7, -1, -3, 10, 2, -8, 6, 1, 0],\n [4, -5, -2, 3, 2, 6, 5, 5, -6, 10],\n [-2, 0, 1, 2, -8, 5, 7, 12, -4, 6],\n [-5, -1, 6, -6, 6, 5, 12, 1, 2, 5],\n [-4, -5, 5, -2, 1, -6, -4, 2, -2, -9],\n [2, 8, 0, 10, 0, 10, 6, 5, -9, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3510970609", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 8, -1, -7, 13, -3, -2, -4, 2, 14],\n [2, 9, -11, 6, -7, -10, 11, 1, -11, 13],\n [7, 14, 0, -3, -10, 8, 1, -1, -5, -8],\n [-2, 5, 13, 14, -10, 14, -12, 0, -11, 0],\n [-1, 5, 4, -2, -5, 6, -10, 12, 8, 5],\n [14, 5, 10, -9, -11, -13, 7, 1, 3, -10],\n [7, -11, -2, 4, 8, -13, -2, -4, 7, 14],\n [-11, 7, 5, 5, 0, -11, -6, -8, 4, 4],\n [-9, -9, 5, 0, 0, 10, 5, -6, -11, 3],\n [3, -10, 5, 8, -4, -10, 7, 11, -11, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9267547293", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) of the matrix A^8 where A is:\n[[-3, -13, -2, -5, -6, -5, -8, -11, 4, -5],\n [-12, 10, 6, 14, 4, 6, -13, 12, 5, -5],\n [-13, -13, 13, 9, 2, 1, 1, -1, -8, 6],\n [-4, 9, -14, -4, 8, 6, -11, -8, 11, 0],\n [3, -3, 2, -14, -4, 13, -14, 0, 13, 6],\n [-5, -8, -13, -5, 9, -11, -3, 4, 11, -4],\n [-7, 3, -4, -4, -2, -12, -3, -12, -5, 12],\n [2, 7, -13, 2, 1, -13, 13, 7, 5, -9],\n [13, 10, 14, -5, 13, -5, -7, -14, -2, 9],\n [-6, 7, -5, 0, -10, 7, 1, -2, 7, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37294101831", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[5, 3, -4, 12, -6, 1, -13, 11, 10, -13],\n [-3, -7, -6, -3, 11, -6, -5, 10, -13, 1],\n [5, -8, 13, -13, -14, 4, 13, -11, 9, 7],\n [12, -13, 10, -1, -13, 14, 0, -3, -10, 13],\n [5, 14, -8, 9, 6, -5, -1, -1, -10, 3],\n [9, -1, -13, 11, -3, 7, 9, -9, -11, -2],\n [-11, 7, -1, 1, 14, -11, 9, 10, -14, -2],\n [-11, 5, 3, -9, -12, 8, -2, 12, 1, 12],\n [-10, -11, 6, -7, 4, -1, -8, -1, -9, -3],\n [1, 2, -2, 8, -1, 14, -8, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3630708253423", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[2, 1, 10, -5, 4, -6, -6, 2, 1, 4],\n [1, -7, 8, -4, 5, 2, -13, -2, 0, 4],\n [10, 8, -1, 10, 0, 1, -8, 2, 1, -4],\n [-5, -4, 10, -9, 9, 2, -1, 6, -6, 2],\n [4, 5, 0, 9, -14, 10, 2, 4, 0, 2],\n [-6, 2, 1, 2, 10, 7, 6, 2, -7, 2],\n [-6, -13, -8, -1, 2, 6, -14, -6, -4, 5],\n [2, -2, 2, 6, 4, 2, -6, -12, 4, -7],\n [1, 0, 1, -6, 0, -7, -4, 4, -8, -6],\n [4, 4, -4, 2, 2, 2, 5, -7, -6, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11294639973875", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (7, 5) of the result:\nA =\n[[10, 7, 13, 5, 0, 6, -2, 7, -4, 4],\n [-7, 5, -7, -5, 11, 1, 4, 11, 8, -4],\n [-2, 13, -6, 5, 9, 4, 1, -8, 4, -3],\n [0, 8, -1, -4, 11, -5, 12, -4, -9, -13],\n [-4, 4, -9, -1, 5, -9, 2, -5, 13, -14],\n [-12, -7, -7, 12, 5, 7, 0, 9, -8, -4],\n [-8, 14, -11, 10, -3, 11, -9, -1, -3, -4],\n [4, 6, -10, -1, 6, 9, 1, 10, -2, 10],\n [14, 7, 7, 10, 5, 7, -11, -4, 2, -8],\n [-1, 11, -4, 13, 7, -6, 8, -2, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69844282", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[13, -4, 0, 10, 11, 10, 7, 14, 4, -14],\n [-11, -1, -1, -12, 13, 2, -12, 1, -1, 5],\n [14, -2, 0, -1, 9, 10, 4, -9, -5, 12],\n [0, 6, 7, 5, 11, -9, 8, 10, -5, -8],\n [7, 2, 3, 2, -6, -5, -5, 10, -8, 1],\n [14, 3, -9, 12, 5, -14, -14, -3, 6, 13],\n [-13, -11, 2, -11, -4, 7, 11, -11, -14, -8],\n [3, -6, 14, -12, -7, 14, 9, 4, -11, 3],\n [5, 12, -4, 12, -1, 10, 3, 13, 13, 14],\n [1, -12, 0, 12, 12, -11, -10, 2, -8, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11412662650", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-1, 11, 1, -8, -6, -11, 7, -4, -13, -3],\n [-3, -11, 3, 11, 6, -8, 14, -14, 11, 11],\n [8, 11, -2, -9, -9, -3, -7, 9, 7, 4],\n [-10, 3, -10, 10, -5, -14, -5, -10, -3, 7],\n [12, -8, -6, 7, 6, -3, 8, 14, -14, -4],\n [6, 0, -13, 5, -8, 6, -3, 7, 3, -12],\n [-8, -4, 3, -3, -9, -10, 11, -14, -3, 12],\n [11, -4, -11, 12, 3, -11, 2, -13, 14, 9],\n [7, -13, -3, -9, -5, 10, 8, 10, 6, 8],\n [12, 1, -1, -8, 13, 13, 4, 8, 2, -6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2427800448314", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[11, -2, 7, -10, 8, -10, -5, 6, 12, -5],\n [12, -8, 11, 0, -8, 14, 12, 0, -12, 4],\n [-5, 13, 14, 0, -12, -9, -3, 0, -9, -2],\n [14, 4, -12, -7, -7, 8, 11, 5, 0, -11],\n [4, 6, -12, -2, -7, 8, 1, -2, -12, 1],\n [-6, 13, -1, -2, 6, 10, -8, 0, -8, -9],\n [-13, -6, 7, 9, 2, -10, -3, -14, -5, -4],\n [1, -1, -7, 9, 2, 10, 3, -3, 10, 2],\n [13, 11, -1, 1, -1, -6, -11, 10, 8, -4],\n [-9, 0, -10, -4, 10, 3, -2, -4, -1, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-545414388", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, 12, 13, 10, 13, 4, 9, 12, 0, -6],\n [-7, 5, 13, -14, -11, -1, 10, -13, 1, -12],\n [11, -7, -9, 1, 9, 1, -8, -2, -2, -10],\n [10, 5, 7, 3, 0, 3, -13, -5, 8, -2],\n [3, 0, -3, 0, -2, 3, 0, 10, 8, -4],\n [4, -12, -8, 6, 11, -1, -1, 7, -2, -3],\n [9, -6, -14, 4, -4, 8, 7, 8, 9, 7],\n [4, 3, -3, 8, 13, 13, 13, 12, -14, 4],\n [13, 12, 5, 14, 2, -10, 11, -12, -13, -12],\n [-7, 1, -9, -2, 8, 13, 7, 7, 1, 13]], determine the value at position (9, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7050626278", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[1, -12, 13, -2, -1, -7, -3, 8, 8, 7],\n [6, 11, -7, 6, 10, -6, -14, -9, 8, 4],\n [8, -4, -4, 8, -2, -4, 3, 8, 0, -14],\n [6, 10, -8, 8, 12, -2, -3, 3, 9, 4],\n [0, -7, 4, -5, -8, 3, 1, 5, 12, -9],\n [12, -6, 6, -2, 10, 6, 11, -7, 1, -2],\n [-2, 2, 8, 5, -10, 7, 6, 13, 2, 13],\n [-6, -13, 10, 11, 3, -6, -9, -4, 10, 14],\n [-9, -9, -2, -4, -1, -13, -7, -12, 8, 6],\n [-12, -14, 9, 4, 3, 2, 5, 14, 9, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3848760189", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-12, -14, -11, 10, -2, 2, 13, -4, -13, 10],\n [1, -13, 14, 4, 8, 4, 10, 1, 7, 4],\n [-6, -14, -5, 4, -14, -13, 1, -3, -7, 8],\n [3, -13, 10, 14, -2, -9, 6, 11, -9, -6],\n [1, -4, -8, -5, -5, 10, 5, 3, 13, 9],\n [5, 14, -6, 0, -11, -7, -6, -2, -6, 11],\n [-11, 2, 1, 0, -12, 10, 5, -10, 8, -10],\n [5, 0, 3, 0, -13, 14, -2, -11, -5, -2],\n [-5, 14, -6, -7, -12, 1, -1, -6, 6, -4],\n [-12, -10, 14, -5, -2, -11, 9, -2, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27517536322", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 10) of the 7th power of the matrix:\n[[-5, 13, 9, -6, 5, -8, -13, 7, 9, 13],\n [8, -8, -7, -8, 6, 8, 14, -1, 11, 4],\n [-10, 8, 10, 3, 5, -3, 8, 2, -2, -13],\n [10, -2, 11, -8, 13, -5, 8, -9, -12, 11],\n [-12, 3, -4, 7, 5, -10, 4, 7, 12, 13],\n [4, 0, 1, 9, -6, -11, 0, 10, -3, 8],\n [-12, 8, -1, 2, 4, -9, -11, -8, 4, 2],\n [10, 1, 0, 7, -7, 4, -7, 3, 13, 1],\n [5, 4, -5, 2, -2, -2, -8, 12, -5, -13],\n [-11, 10, -9, 9, 3, 8, -9, 14, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2789825977", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[2, -1, 9, -4, 11, 4, -13, 13, -12, -4],\n [-9, 14, -1, 4, 11, 1, 6, 7, 9, -8],\n [12, -7, 4, 5, 1, 7, 12, -8, -6, -2],\n [-14, 14, -7, 9, 7, -11, -12, 12, -12, 7],\n [-2, -7, -8, 12, -14, 12, 1, -9, -8, -3],\n [8, -6, 12, -4, -5, 6, -14, 3, -11, -10],\n [-6, 12, 2, -12, 1, -10, 1, -12, 5, 0],\n [-12, 5, -1, 1, 14, 14, 2, 13, 9, 5],\n [8, 3, 3, 7, -1, 3, 0, 0, -9, 12],\n [0, 3, -11, 8, -7, 0, -12, 0, -2, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "574671397", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 7) of the 6th power of the matrix:\n[[-13, 9, -7, 14, 5, 2, -2, -14, -13, 0],\n [-3, -1, 10, 14, -13, 3, 7, -8, 14, 8],\n [14, 10, -9, -1, -7, 12, 7, -13, 2, -10],\n [-1, 10, 9, 14, 5, 6, 14, 6, 7, -12],\n [-10, 1, 3, 11, 2, -4, 2, 1, 11, 8],\n [-13, -11, 6, -8, -13, -9, 2, -8, 10, -10],\n [-10, 5, 1, 4, -6, -10, -7, -6, -10, -5],\n [10, -13, -6, -4, -11, 7, 7, 7, -13, 8],\n [14, -9, 12, -1, -14, 3, -8, -14, -14, -14],\n [9, -11, -11, 14, 3, 12, -4, 12, -14, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47558375", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (2, 7) of the result:\nA =\n[[-5, -6, -1, -4, 2, -3, -2, -14, 8, -1],\n [-6, 9, 2, 6, -4, 2, 4, 7, 6, -6],\n [-1, 2, -8, 0, -7, 8, 4, 2, -2, -4],\n [-4, 6, 0, 11, -2, -3, -2, 6, 8, -2],\n [2, -4, -7, -2, 11, -2, -10, 4, 4, 4],\n [-3, 2, 8, -3, -2, -1, 0, 6, -2, 2],\n [-2, 4, 4, -2, -10, 0, 9, 2, -2, 2],\n [-14, 7, 2, 6, 4, 6, 2, 4, 10, 6],\n [8, 6, -2, 8, 4, -2, -2, 10, 4, -8],\n [-1, -6, -4, -2, 4, 2, 2, 6, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113417884", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, 10, -4, 6, 2, 4, -12, 7, 3, 8],\n [10, -3, -12, 1, 2, 0, -10, -4, -4, 0],\n [-4, -12, -14, 6, -2, 6, 4, 6, 4, -2],\n [6, 1, 6, -7, 12, 0, 14, -7, -2, -8],\n [2, 2, -2, 12, 8, -10, 0, 6, 2, -2],\n [4, 0, 6, 0, -10, -1, -6, 6, -5, 6],\n [-12, -10, 4, 14, 0, -6, -3, -9, 0, 3],\n [7, -4, 6, -7, 6, 6, -9, 4, 2, 0],\n [3, -4, 4, -2, 2, -5, 0, 2, -3, 1],\n [8, 0, -2, -8, -2, 6, 3, 0, 1, 14]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1291696548", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-13, 11, 2, 0, 4, 8, 1, 8, -4, -6],\n [11, 11, -2, 0, 0, 4, 0, -1, -10, 2],\n [2, -2, -8, -4, 6, -2, -8, -11, -4, -14],\n [0, 0, -4, -9, -11, -2, -2, 4, -2, 0],\n [4, 0, 6, -11, -5, 8, -4, -5, -2, 5],\n [8, 4, -2, -2, 8, 13, 0, 4, 6, 6],\n [1, 0, -8, -2, -4, 0, 0, 0, 8, 4],\n [8, -1, -11, 4, -5, 4, 0, 1, -9, -2],\n [-4, -10, -4, -2, -2, 6, 8, -9, 2, 6],\n [-6, 2, -14, 0, 5, 6, 4, -2, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9127910183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[6, 3, 1, -7, 11, -4, 6, 6, 3, 8],\n [14, 9, -5, -2, 2, 3, -5, 1, 5, -10],\n [-2, 3, 2, -6, -1, 2, 14, -11, 3, 12],\n [5, 9, 9, 0, -4, -3, -6, -2, 0, 12],\n [0, 13, -10, 8, 4, 11, 5, 11, 10, 11],\n [11, -1, 13, 2, 3, 6, -12, -13, -14, -5],\n [4, 2, -3, -14, -3, 2, 9, -12, -4, 2],\n [8, 11, -12, -7, 5, -11, 6, 7, -8, -1],\n [-1, -11, 1, 9, 14, 7, -14, 2, 10, -5],\n [7, 1, 1, 11, -7, 14, -8, 13, -9, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1537665962005", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[5, -6, -6, -4, -7, -8, 0, 0, -4, -8],\n [-6, 11, -2, 4, 0, -4, 2, -2, 8, 12],\n [-6, -2, -1, -8, -2, 1, 6, 0, -5, -6],\n [-4, 4, -8, -3, 10, 9, 8, -1, -10, -6],\n [-7, 0, -2, 10, 0, -2, -2, 4, 3, 6],\n [-8, -4, 1, 9, -2, -12, 2, 4, 2, -12],\n [0, 2, 6, 8, -2, 2, 14, 3, -2, 4],\n [0, -2, 0, -1, 4, 4, 3, 6, 0, -8],\n [-4, 8, -5, -10, 3, 2, -2, 0, -10, 4],\n [-8, 12, -6, -6, 6, -12, 4, -8, 4, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3833678924", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 9) of the matrix A^8 where A is:\n[[-10, 0, 0, -9, 2, -10, 3, 8, 2, -2],\n [0, 10, 2, -7, -6, 0, 2, 2, 1, 0],\n [0, 2, -1, 3, -2, -11, 4, 2, -1, -4],\n [-9, -7, 3, 2, -6, -8, 0, -4, -1, 0],\n [2, -6, -2, -6, -5, 4, 0, 8, -2, 6],\n [-10, 0, -11, -8, 4, -5, -13, -4, -2, 3],\n [3, 2, 4, 0, 0, -13, -7, 2, 1, 4],\n [8, 2, 2, -4, 8, -4, 2, -11, 10, -10],\n [2, 1, -1, -1, -2, -2, 1, 10, 6, 4],\n [-2, 0, -4, 0, 6, 3, 4, -10, 4, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27382365037", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-9, 7, 14, -3, 7, -3, -5, 8, 11, -9],\n [2, 4, 3, -9, 9, 4, -5, 9, -7, 6],\n [9, -9, 6, 10, -8, 9, -14, 12, 3, 9],\n [13, 10, 5, -3, 1, -5, 12, -5, -1, 10],\n [5, -5, -5, 11, 10, -4, 8, -13, 10, 5],\n [-7, 8, 14, -8, -7, -14, 6, -13, 3, 0],\n [-14, -10, -13, 5, -12, 4, 3, 14, 7, 3],\n [-1, 9, -7, 14, -3, 6, -5, 8, 5, 2],\n [-4, -13, 11, 11, -11, -14, 0, -2, -7, 10],\n [-11, -5, 4, 3, -10, 4, 11, 8, 12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6637343088", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[1, -6, 4, 0, -6, 0, 1, -9, 0, 12],\n [-6, -10, 11, 7, 3, 4, 4, -8, 4, -9],\n [4, 11, 11, -3, -10, -3, 5, 5, 2, -4],\n [0, 7, -3, -13, 2, -7, 0, 11, 10, -1],\n [-6, 3, -10, 2, -6, 3, -5, 6, -9, 1],\n [0, 4, -3, -7, 3, -1, 2, -5, -6, 2],\n [1, 4, 5, 0, -5, 2, -11, 7, -6, -2],\n [-9, -8, 5, 11, 6, -5, 7, 14, 7, -1],\n [0, 4, 2, 10, -9, -6, -6, 7, 12, -1],\n [12, -9, -4, -1, 1, 2, -2, -1, -1, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1348017763", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-10, 7, -8, 2, -8, -7, -10, -3, 0, 4],\n [7, 9, -6, 0, -6, 1, -12, -4, -4, -2],\n [-8, -6, 11, -4, -7, -2, -8, -6, 2, -1],\n [2, 0, -4, -7, 2, -2, 4, -8, 8, 6],\n [-8, -6, -7, 2, 4, -2, 5, 4, -6, 8],\n [-7, 1, -2, -2, -2, 10, 6, -4, -13, -12],\n [-10, -12, -8, 4, 5, 6, -4, -7, 2, 4],\n [-3, -4, -6, -8, 4, -4, -7, 3, -7, 4],\n [0, -4, 2, 8, -6, -13, 2, -7, -8, 9],\n [4, -2, -1, 6, 8, -12, 4, 4, 9, -8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6141097969796", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (4, 5) of the result:\nA =\n[[11, 2, -9, 8, 7, -11, 2, 12, -6, -11],\n [-8, 8, -13, 2, 9, -7, 8, 0, 0, -7],\n [1, 4, -4, -13, 8, 9, 2, 13, 11, 1],\n [10, 0, -2, 0, 12, -11, 1, -3, -11, -12],\n [7, 2, 7, 3, 10, 3, 8, 13, 2, -3],\n [8, 6, 9, -11, -3, 11, 8, 7, 6, 5],\n [0, 8, 13, 1, -10, 6, 0, 2, 3, -10],\n [-2, 4, -2, 3, -1, -11, -11, 5, 5, 4],\n [-2, -3, -8, 10, -3, 6, -11, 12, -13, -13],\n [-10, 8, -5, -5, -6, -2, -8, -10, 11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4762749668", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 4) of the matrix A^6 where A is:\n[[-5, -8, 8, 6, -2, 2, 0, -13, 6, 2],\n [-8, -1, 10, 8, 6, 1, 2, -8, 10, 9],\n [8, 10, -7, -12, -9, 4, -6, 4, -4, -6],\n [6, 8, -12, 14, -6, 4, -10, 0, 1, 0],\n [-2, 6, -9, -6, 11, 2, 8, 4, -1, 8],\n [2, 1, 4, 4, 2, 7, 12, 3, -6, 4],\n [0, 2, -6, -10, 8, 12, 4, -13, -14, 0],\n [-13, -8, 4, 0, 4, 3, -13, 10, 2, 0],\n [6, 10, -4, 1, -1, -6, -14, 2, 9, 1],\n [2, 9, -6, 0, 8, 4, 0, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "580367034", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 10) of the matrix A^6 where A is:\n[[14, -4, -2, 1, -1, -2, 0, -4, 4, 8],\n [-4, -6, 2, 0, 2, -6, -6, 0, 7, 1],\n [-2, 2, 6, -1, 10, 0, 8, -2, -10, -8],\n [1, 0, -1, 10, -6, -4, -1, -2, 14, -2],\n [-1, 2, 10, -6, -10, -4, 4, 8, 6, 6],\n [-2, -6, 0, -4, -4, 8, 8, -6, 2, 8],\n [0, -6, 8, -1, 4, 8, -12, 2, 6, 0],\n [-4, 0, -2, -2, 8, -6, 2, -14, -3, -4],\n [4, 7, -10, 14, 6, 2, 6, -3, 12, 10],\n [8, 1, -8, -2, 6, 8, 0, -4, 10, -13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23249362", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-8, -11, 3, 13, -9, 12, -6, 12, -6, -1],\n [-7, 4, -12, 3, -10, -1, 13, -11, -8, 5],\n [10, 13, -3, -13, -4, -1, 7, 8, 1, 5],\n [14, -9, 8, -11, 0, 9, 10, -14, -8, 10],\n [-3, -5, -10, -3, 3, -5, -9, 13, -3, -8],\n [3, -13, -5, 0, -3, 11, 2, -11, -8, -6],\n [4, 13, 12, 8, -8, 8, -13, -9, 3, -9],\n [-2, 11, 4, -13, -3, 0, -1, -9, 3, -10],\n [3, -12, -12, 7, 7, -5, 4, -12, 14, -3],\n [14, 1, 2, -8, -2, 9, -13, -11, -5, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17334942754529", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[9, 3, 8, -6, 3, 2, 4, 2, 10, 2],\n [3, 6, 0, -10, -12, 2, 12, -3, -6, -1],\n [8, 0, -7, 0, 4, 0, 3, -2, 4, -6],\n [-6, -10, 0, -1, -4, 12, 0, 0, -12, -6],\n [3, -12, 4, -4, -13, 8, -6, 2, -12, 5],\n [2, 2, 0, 12, 8, 0, 0, 8, -2, -12],\n [4, 12, 3, 0, -6, 0, -8, -6, -6, -9],\n [2, -3, -2, 0, 2, 8, -6, -14, 10, -7],\n [10, -6, 4, -12, -12, -2, -6, 10, -4, -6],\n [2, -1, -6, -6, 5, -12, -9, -7, -6, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "639019660374", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-8, -2, -13, -9, -6, 5, 10, -13, 3, 1],\n [10, -3, -8, -8, 2, -2, -4, -9, 14, 8],\n [12, -1, -9, -9, -13, 7, 5, 10, 0, 13],\n [2, 14, -7, -10, 2, 5, -14, 7, 3, 0],\n [-10, -8, 3, -9, 7, 6, -10, 4, -5, 0],\n [-5, 12, 1, -3, 3, 8, -14, 1, 7, -9],\n [-12, -13, 13, -13, -2, -6, 1, 12, -10, 8],\n [13, 6, -8, -2, 5, 9, 14, 12, 11, -2],\n [12, 11, -8, -5, 0, 6, 12, -9, -10, 8],\n [13, -13, 6, 0, 11, 1, 4, -6, 14, 7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7116903265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (5, 7) of the result:\nA =\n[[14, 11, 4, -8, -11, -12, 9, 14, 5, -4],\n [-14, -9, 11, -4, 12, -14, 6, -8, -9, -1],\n [-13, 12, -11, -4, 0, 3, 12, -14, -12, -12],\n [13, -8, -14, 10, -4, -9, 5, -12, 4, -13],\n [3, -3, 14, -5, -10, -6, -13, -13, 13, -9],\n [14, -5, 3, -3, -11, 7, 6, 2, 0, -9],\n [1, 2, -12, -5, -10, -1, 11, 14, 6, -2],\n [11, -9, -3, 11, -7, -10, 0, 12, 1, -14],\n [1, -10, -12, 5, 0, -2, 9, 1, 8, -4],\n [6, -13, 7, 12, -9, 11, 11, 12, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14782718612", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[10, 0, 4, -1, -6, 8, 2, 2, 0, -8],\n [0, 7, 4, 4, -2, 2, 2, 5, -1, 8],\n [4, 4, -6, 4, 12, 2, 11, 3, 3, -12],\n [-1, 4, 4, -10, 4, -5, 11, -10, 2, 12],\n [-6, -2, 12, 4, -9, 5, -2, -2, 8, 2],\n [8, 2, 2, -5, 5, 14, 0, -2, 5, 8],\n [2, 2, 11, 11, -2, 0, -8, 0, -12, 1],\n [2, 5, 3, -10, -2, -2, 0, 12, -12, -2],\n [0, -1, 3, 2, 8, 5, -12, -12, 14, 4],\n [-8, 8, -12, 12, 2, 8, 1, -2, 4, 7]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49713324283", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-10, -4, 0, 9, 0, -3, -10, -6, 4, 6],\n [-4, 6, 6, 6, -2, -2, -8, 5, 6, 2],\n [0, 6, -3, -6, 6, -6, -6, -2, 0, -12],\n [9, 6, -6, 1, 2, -6, 10, -4, -4, 8],\n [0, -2, 6, 2, -13, -3, -11, 0, 12, 6],\n [-3, -2, -6, -6, -3, -5, 4, 2, -8, 1],\n [-10, -8, -6, 10, -11, 4, -8, -12, -8, -4],\n [-6, 5, -2, -4, 0, 2, -12, -6, 2, 0],\n [4, 6, 0, -4, 12, -8, -8, 2, 9, -4],\n [6, 2, -12, 8, 6, 1, -4, 0, -4, -14]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "672755318989", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-10, 4, 7, 9, -4, -2, 5, -10, 6, -11],\n [-11, -11, -11, 5, 6, 3, 3, 1, -6, 3],\n [7, -13, 6, -11, -3, -8, 0, -8, 14, 7],\n [11, 6, 2, 1, 13, 4, -6, -1, 2, -10],\n [-13, 5, 1, -1, -1, 12, -14, -12, 11, -8],\n [11, 0, 4, 5, -13, 4, -6, 4, 12, -10],\n [3, 1, -11, -3, 14, -8, -1, 8, -3, -12],\n [-10, 2, 11, -5, -5, -4, 2, -10, -2, -5],\n [-6, 2, -14, -11, -11, 3, -6, 10, 14, 14],\n [3, -1, 10, 0, -9, 9, -5, 14, 0, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3097430317780", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (10, 6) of the result:\nA =\n[[-11, 3, 3, 10, 2, -3, -8, 1, -4, -1],\n [-12, 4, 3, -5, -9, -2, -5, 3, 11, 5],\n [11, 1, 10, 10, -9, -2, -11, 8, -1, -14],\n [13, 5, -10, -7, -3, -13, -3, -10, 7, -10],\n [-2, -6, -5, -14, -12, 3, -3, 14, -12, 11],\n [10, 14, -6, 11, -13, -12, -1, -11, 10, 4],\n [-2, -8, -3, -12, 8, 8, -6, -13, 14, 7],\n [-6, -3, -3, 0, -13, 3, -2, -1, -10, 11],\n [-5, -3, -5, 9, -4, 10, -13, -10, -8, -9],\n [7, 8, -12, -2, -12, 11, 10, 9, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "952840681", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-4, 13, 11, 2, -5, -3, 2, -11, -13, -4],\n [-8, -13, 11, 3, 6, -11, -7, 5, -1, -3],\n [7, 6, 12, 3, -4, 14, 13, -7, -13, 10],\n [0, -6, 4, 5, -7, 10, 4, -10, -4, 0],\n [-7, 4, 8, 12, -7, 11, 12, 4, 3, -5],\n [14, -8, 13, -6, -14, 4, -10, 4, -14, 0],\n [1, 8, -8, 11, -3, -7, -10, -5, 13, 6],\n [-10, 2, 11, -10, 7, 0, -2, 13, -14, -4],\n [8, -14, -4, 3, 3, 6, 11, 1, -2, -8],\n [-14, 11, 1, -14, 2, -9, -13, 2, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2520961247049", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[3, -9, -5, 9, 3, 12, -6, -7, 13, -5],\n [2, 8, 14, 11, -9, -1, 7, 7, -9, 11],\n [-8, -3, -12, -1, 7, 4, 8, 1, -8, -7],\n [3, 10, -2, 6, -6, -5, 6, 8, 12, -6],\n [0, 5, -13, 10, -2, -13, 4, 11, -13, -12],\n [-9, -12, -5, 9, 12, -9, 8, 1, 2, 4],\n [-12, 3, -8, -6, 5, -3, -10, -12, -4, 10],\n [-11, -10, -14, 12, 13, 14, 3, -3, -2, -6],\n [-13, -10, -2, 1, 1, 9, -12, 7, -11, -4],\n [8, 11, -1, 14, -12, 1, 7, 0, 13, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "485619185", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, -4, 1, -5, 2, 4, -13, 9, 8, -13],\n [-9, 4, -7, 11, 14, -12, 11, -1, 10, 1],\n [-14, 6, -12, 7, 11, 3, -6, -9, 8, 6],\n [10, -14, 6, 12, -5, 12, -9, 8, -3, -11],\n [13, -2, 2, 12, -7, 11, 5, -12, -3, -8],\n [-3, -13, 9, -1, 7, 8, -10, -6, 6, -4],\n [-10, -12, 12, 2, -13, 9, -14, -8, -1, -10],\n [4, 13, 13, -4, 8, 10, -13, -7, -6, 12],\n [-12, -13, -8, -10, 6, 11, -10, 5, -2, 6],\n [14, 5, 14, -9, 5, 3, 10, -13, 10, 11]], determine the value at position (2, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3480978405", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-9, -6, 10, -12, -14, -14, 4, -10, -2, 4],\n [-3, 1, 10, 10, 4, -12, -3, -10, -13, 7],\n [-8, -2, 10, 0, 7, -12, 13, 6, 5, -10],\n [9, -7, 7, -14, -7, 9, 3, 5, 13, 1],\n [3, 5, -3, -2, -2, -5, -8, 10, -1, 9],\n [1, 0, -3, -6, -7, 3, 8, 3, -2, 13],\n [12, 3, 0, -11, 2, -10, 7, 1, -6, -5],\n [9, 3, 2, 3, -8, -11, 11, -10, 13, 8],\n [1, -12, 11, 3, 14, 8, 6, -1, 0, 2],\n [-14, 10, 6, 2, 8, 10, -4, 2, 11, -1]], determine the value at position (7, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63634256364", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[14, 5, 4, 6, -8, 9, -2, 3, 8, -1],\n [-14, -8, -7, 3, -6, -14, 14, 7, 2, 4],\n [12, -9, -12, 9, -10, -13, 5, 10, -11, -5],\n [-5, 9, 6, -4, 12, 1, 11, 14, 14, 2],\n [1, -8, 1, -12, 11, 1, -7, -3, -12, 2],\n [6, 3, -4, -11, 1, 2, -6, -9, 9, 12],\n [5, 10, -13, -6, 13, 6, 14, -9, -12, 5],\n [-9, -8, -14, 8, -14, -10, -9, -2, -13, 0],\n [0, -2, 11, 10, -1, 11, 7, -8, -1, 11],\n [9, 12, 14, -5, 2, -1, -7, -11, 11, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60004074", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (9, 8) of the result:\nA =\n[[9, -2, 7, 12, 10, 12, 5, 3, -1, 3],\n [-10, 11, -6, 13, -12, -7, 5, 7, -5, 7],\n [4, 6, 13, -12, -4, -4, 2, 1, -8, -11],\n [8, 4, -3, 0, -4, -10, -10, 0, 14, 3],\n [-4, 11, -3, -13, 5, 0, 5, -11, 7, 3],\n [-9, 8, 12, 11, 4, -4, 13, 9, -13, 12],\n [-7, 14, -4, -10, 3, 8, 3, -1, 7, -5],\n [-12, -6, -12, -4, -3, -3, -12, 6, -8, -1],\n [9, 13, -4, -8, 10, 6, -5, -4, 0, 4],\n [1, 7, 6, 13, 5, -3, 3, 8, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11850631", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-11, 13, -1, -7, -6, 10, 4, -12, -10, 6],\n [11, 3, -14, -7, 4, 2, 2, -4, -13, -9],\n [7, -1, -12, -3, -11, -3, -2, -13, -13, 0],\n [8, 14, 2, -8, 13, -1, -3, 2, -1, -9],\n [4, 9, -9, 12, 3, 9, -10, 9, 9, -9],\n [-13, -7, 0, 0, -4, 7, 7, 9, -14, 3],\n [-3, -3, 10, -4, 13, -7, 13, -8, 8, 6],\n [-13, -4, 7, -5, -12, 5, 14, -5, 13, 12],\n [3, -1, 3, 13, 9, -7, -5, 7, -2, 6],\n [-7, -11, 12, -11, -10, -14, 2, -13, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6229445921", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 10) of the matrix A^8 where A is:\n[[0, 12, 10, -2, 0, -2, -2, 8, 0, -8],\n [12, -1, -1, 4, -8, -8, -6, 8, -8, -2],\n [10, -1, -9, 7, -6, -6, 2, 3, -8, 12],\n [-2, 4, 7, 13, -8, -4, -6, 10, -7, 0],\n [0, -8, -6, -8, -5, 0, 6, -3, 2, 0],\n [-2, -8, -6, -4, 0, 10, 8, -1, -4, 12],\n [-2, -6, 2, -6, 6, 8, -7, -10, -5, 8],\n [8, 8, 3, 10, -3, -1, -10, 1, -9, -4],\n [0, -8, -8, -7, 2, -4, -5, -9, -3, 0],\n [-8, -2, 12, 0, 0, 12, 8, -4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256415939604", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-13, 14, -9, -6, -5, -4, 8, -4, 2, 8],\n [14, -14, 2, 0, 4, -3, -6, 2, 5, -8],\n [-9, 2, -14, 0, -11, -2, 2, 8, 0, -14],\n [-6, 0, 0, -12, 8, -8, 6, 6, 9, 5],\n [-5, 4, -11, 8, 8, -2, 1, -6, 2, 8],\n [-4, -3, -2, -8, -2, -12, -6, 6, -10, -4],\n [8, -6, 2, 6, 1, -6, 0, -4, -2, -8],\n [-4, 2, 8, 6, -6, 6, -4, -14, 2, -2],\n [2, 5, 0, 9, 2, -10, -2, 2, 9, 0],\n [8, -8, -14, 5, 8, -4, -8, -2, 0, -6]], determine the value at position (9, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80379078324", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[2, -6, -12, -4, -3, -5, 10, 2, 2, 10],\n [-4, 7, -11, -8, 6, 11, -1, -8, 9, -7],\n [-14, 9, 7, -11, 14, -3, 9, -12, -2, 5],\n [-9, -4, 8, -11, 5, 1, -8, 7, 14, -4],\n [9, -14, 11, 14, 12, -8, -3, -8, 12, 8],\n [-8, -5, 1, 11, -7, -6, -6, -13, -2, -2],\n [8, 8, -11, 10, 9, -3, 2, -13, -2, 14],\n [3, 13, 13, 12, 0, -7, 0, -14, 5, -5],\n [-3, -10, -6, 8, -7, 1, -1, 12, 10, -2],\n [8, 6, -2, -10, 1, 11, -4, 7, -10, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5579421742669", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[13, -3, -2, 6, -5, -3, -8, -6, -3, -1],\n [-3, -8, -6, 10, 2, -2, -6, -1, 3, 4],\n [-2, -6, 2, -5, 0, 6, 0, 8, -3, 0],\n [6, 10, -5, 14, 6, 4, 6, -4, 8, 7],\n [-5, 2, 0, 6, 9, 3, 0, -11, 8, 2],\n [-3, -2, 6, 4, 3, -3, 0, -4, 2, 3],\n [-8, -6, 0, 6, 0, 0, 3, 4, -1, 8],\n [-6, -1, 8, -4, -11, -4, 4, 7, 3, -10],\n [-3, 3, -3, 8, 8, 2, -1, 3, -5, 8],\n [-1, 4, 0, 7, 2, 3, 8, -10, 8, -6]], determine the value at position (5, 9).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "224075806", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[11, 12, 14, 1, 7, -1, 7, -7, 12, 5],\n [4, -1, -8, -10, 3, -13, -4, 7, -7, -14],\n [12, 7, -3, -13, 3, -8, 11, 2, 7, 8],\n [-1, 9, -8, 7, 10, 14, -12, 12, -9, 5],\n [-13, 2, -3, -3, 2, 12, -5, -12, 5, 3],\n [-2, -3, 12, 12, 12, 2, -11, 8, -5, -4],\n [-9, -9, 12, -6, 0, -13, -11, -10, 2, -7],\n [-7, 7, -3, 6, -7, 4, -12, 3, 6, 4],\n [4, 0, -9, 1, -7, 1, 3, 5, 1, -4],\n [-8, 2, 2, -3, -2, -5, -8, -1, 8, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "649433618483", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[2, -4, -3, -9, -4, -2, 6, 0, -6, 4],\n [-4, 14, -10, -2, -8, 12, 0, 5, -7, 5],\n [-3, -10, -11, 7, 5, 0, 0, 8, -9, -9],\n [-9, -2, 7, -14, 4, -10, -8, -6, 9, -4],\n [-4, -8, 5, 4, -4, -8, -5, 0, -8, 12],\n [-2, 12, 0, -10, -8, -10, -4, -1, 4, 0],\n [6, 0, 0, -8, -5, -4, -13, -1, -6, -2],\n [0, 5, 8, -6, 0, -1, -1, -9, -1, 9],\n [-6, -7, -9, 9, -8, 4, -6, -1, 10, -10],\n [4, 5, -9, -4, 12, 0, -2, 9, -10, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21973796753", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-5, 0, -7, -12, -2, 2, 0, 4, -1, 2],\n [0, 3, 2, -6, 12, 0, -2, 3, 12, -7],\n [-7, 2, 6, -4, 8, 8, 10, -7, 4, 10],\n [-12, -6, -4, -9, -2, 2, 1, 4, 0, 2],\n [-2, 12, 8, -2, 5, -6, -8, 10, -12, 8],\n [2, 0, 8, 2, -6, 9, -4, 6, 6, -6],\n [0, -2, 10, 1, -8, -4, 0, -4, 8, -2],\n [4, 3, -7, 4, 10, 6, -4, -10, 6, -4],\n [-1, 12, 4, 0, -12, 6, 8, 6, -12, 2],\n [2, -7, 10, 2, 8, -6, -2, -4, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452359607183", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[10, 8, 5, -4, 10, 10, -13, -5, -5, -4],\n [13, -9, -11, 9, -3, -4, 8, 8, 12, 11],\n [10, -2, -10, -9, -14, -9, 3, 7, -6, 9],\n [10, 14, 0, 11, -7, 4, 9, 1, -9, 14],\n [-9, 7, -12, -5, -14, 13, -1, -11, 11, -3],\n [-9, -4, -3, -5, 3, -8, -8, -4, -11, 5],\n [-14, -2, 3, -6, 11, 9, 9, -6, 8, 14],\n [-6, -5, 13, -13, -9, 0, -12, -4, -9, -12],\n [9, -4, 0, -2, 5, 13, -5, -9, 0, 10],\n [3, 3, -8, 0, 3, 3, 5, -6, 9, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7862915608", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-7, 5, -13, -4, 11, -8, -9, -5, -10, -4],\n [-14, -13, 9, -14, 4, -13, 6, 5, 14, 8],\n [6, 9, -11, -3, 7, 5, 3, -14, -14, 9],\n [-1, -11, -10, -4, 9, 13, 8, -2, 1, 9],\n [-2, 9, 7, 11, -13, 1, -9, -1, -14, 2],\n [-4, 4, -12, -4, 14, -10, 2, 11, 7, -8],\n [-5, 13, 14, -4, -12, 5, -5, 12, -5, -1],\n [-3, 0, -5, -5, 11, 4, -14, 9, 14, 11],\n [-5, -13, 2, 9, -8, -8, 5, 12, -6, 7],\n [-13, -1, 2, -14, -6, 5, 6, 4, -11, 13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24510566820", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-7, -5, -12, 0, -5, 2, -2, -4, -6, 2],\n [-5, -6, -2, -2, 6, 2, 2, 7, -1, -6],\n [-12, -2, -10, 3, 0, 10, -11, 7, -3, 2],\n [0, -2, 3, 14, -2, 0, 5, 2, 11, 8],\n [-5, 6, 0, -2, 9, -1, -9, -12, 3, 12],\n [2, 2, 10, 0, -1, -13, 8, -2, 4, 3],\n [-2, 2, -11, 5, -9, 8, -5, -12, 2, -4],\n [-4, 7, 7, 2, -12, -2, -12, -6, 12, 6],\n [-6, -1, -3, 11, 3, 4, 2, 12, -6, 2],\n [2, -6, 2, 8, 12, 3, -4, 6, 2, -9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29960509934515", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-10, -13, -6, 14, 11, -1, -11, -11, 6, 0],\n [-7, 11, -11, 1, 6, 13, -11, 1, 7, -3],\n [1, 4, -7, -9, -5, -10, 14, 3, -5, -5],\n [-8, 3, -14, -8, 6, -14, 0, -11, 13, 14],\n [5, -5, 8, -6, -13, 13, -1, 1, -14, -13],\n [-8, 14, -5, 7, 5, -14, -2, -14, -10, 1],\n [0, 2, 13, 8, 1, -2, -4, 2, 2, -13],\n [-2, -1, -4, 13, -5, -12, 14, 12, 2, 0],\n [-6, -5, -7, 6, -2, 12, 3, -10, -9, 2],\n [-4, 5, 1, -6, -13, -10, -14, -11, -11, 7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7856014248", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[11, 10, -12, -6, 7, 8, -3, -5, -13, -4],\n [-5, 7, -9, 3, -13, -13, -5, 1, -3, -14],\n [6, -7, 1, 3, -2, 0, 6, -3, -7, -5],\n [-1, -10, 3, 4, 0, -9, 12, -4, 6, -4],\n [5, 5, 6, 3, 10, 3, -5, -13, 11, -6],\n [-1, 4, -5, 8, -11, 14, 14, -9, -1, -11],\n [11, 0, 1, -8, 2, 4, 14, 4, 2, -9],\n [14, -4, 1, 10, -7, -4, -8, 11, 9, 7],\n [10, 4, 11, -5, -6, -11, 8, 0, -2, 10],\n [-13, -13, 1, -6, 13, -2, -12, -6, -2, 6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7564473197759", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[7, -13, -7, 12, -6, 1, -13, -9, 7, -7],\n [11, 13, -10, -6, -14, -6, -5, 8, -11, -12],\n [-5, 0, -4, -1, -9, -3, -2, 2, 1, -12],\n [-13, -4, 14, -6, -12, 14, 3, 5, 0, -1],\n [-13, 2, 7, 11, -7, -5, 11, 3, 10, 14],\n [4, -7, 13, -7, -12, -12, -3, 7, 2, -11],\n [2, -1, 4, -6, 6, -3, -10, -4, 5, -12],\n [6, 0, -1, -4, 5, -7, -11, 12, -3, -7],\n [-9, 0, -3, 1, 1, 12, 6, 5, 5, 13],\n [-11, -4, -2, 14, -6, -11, -3, -6, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85179116024", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 10) of the 8th power of the matrix:\n[[11, -4, 3, 4, -2, 8, 12, 2, 7, 7],\n [-4, -2, -4, 4, 0, 1, -2, -7, 7, -2],\n [3, -4, -14, 6, 14, 2, 2, 0, -2, -2],\n [4, 4, 6, 0, -1, 2, -14, 6, 3, -10],\n [-2, 0, 14, -1, 5, 4, -2, 6, 8, 8],\n [8, 1, 2, 2, 4, -14, 6, 2, -6, 6],\n [12, -2, 2, -14, -2, 6, -8, -2, 6, -8],\n [2, -7, 0, 6, 6, 2, -2, -4, 10, 9],\n [7, 7, -2, 3, 8, -6, 6, 10, -14, 4],\n [7, -2, -2, -10, 8, 6, -8, 9, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127749008379", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-7, -6, 1, -4, 3, -4, 9, -4, -12, 2],\n [-6, -9, 4, -4, -7, 6, 2, 1, 4, -4],\n [1, 4, -8, 2, -4, 10, 6, 5, -5, 0],\n [-4, -4, 2, 10, 0, 13, -4, -6, -2, -4],\n [3, -7, -4, 0, -12, 0, 0, -5, -10, 0],\n [-4, 6, 10, 13, 0, 1, -10, -2, 9, 8],\n [9, 2, 6, -4, 0, -10, 3, 2, -6, 4],\n [-4, 1, 5, -6, -5, -2, 2, -11, -8, 3],\n [-12, 4, -5, -2, -10, 9, -6, -8, -3, 1],\n [2, -4, 0, -4, 0, 8, 4, 3, 1, 10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10053596089", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-4, 2, 5, 10, -6, 6, -6, -2, -4, 2],\n [2, 12, -2, -4, -1, -2, -12, 8, 4, -4],\n [5, -2, 1, -7, -6, -4, -8, -14, 3, 3],\n [10, -4, -7, 11, 2, 5, 2, 6, 4, 0],\n [-6, -1, -6, 2, -7, -2, -1, 8, 4, 1],\n [6, -2, -4, 5, -2, -11, 0, 8, 4, 8],\n [-6, -12, -8, 2, -1, 0, -8, 3, 0, 0],\n [-2, 8, -14, 6, 8, 8, 3, 9, 0, 2],\n [-4, 4, 3, 4, 4, 4, 0, 0, 13, -11],\n [2, -4, 3, 0, 1, 8, 0, 2, -11, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7031340927", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-9, -4, -6, 2, 6, 2, 0, -6, -2, 9],\n [-4, -8, 10, -8, -6, -2, -4, 6, -4, 10],\n [-6, 10, -12, 2, -4, 5, 7, 8, 0, 8],\n [2, -8, 2, -6, 0, -1, 10, 0, 0, -8],\n [6, -6, -4, 0, 9, 0, 3, 0, -8, 0],\n [2, -2, 5, -1, 0, 3, -6, -6, 8, -4],\n [0, -4, 7, 10, 3, -6, 10, 2, -10, -2],\n [-6, 6, 8, 0, 0, -6, 2, 5, -4, 3],\n [-2, -4, 0, 0, -8, 8, -10, -4, 4, -7],\n [9, 10, 8, -8, 0, -4, -2, 3, -7, -9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "414995421499", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (1, 7) of the result:\nA =\n[[5, -6, -10, 5, -13, -9, 11, 3, 13, 14],\n [8, 4, -6, 12, 6, 9, 12, -9, -1, 13],\n [11, 9, 14, -2, -4, -3, 4, 4, 6, 12],\n [11, 4, 9, 11, -2, 13, -1, 9, 3, -3],\n [-11, -5, 14, 2, -11, -3, -2, 14, 12, 14],\n [-11, -5, 10, -12, 0, -13, 10, 10, 2, -9],\n [11, -7, -12, 12, 10, 3, 7, -14, 14, 1],\n [-8, -12, 8, -11, -6, -10, 4, 0, -7, -9],\n [3, 4, 9, 0, 11, -8, -5, -9, -1, 2],\n [-6, 4, -10, 8, -8, 4, 5, 11, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61019733872", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-13, 10, 8, 1, -2, -7, -9, -9, -6, -11],\n [12, -4, -10, 10, 2, 5, -8, 12, 0, 10],\n [0, -1, -2, -4, 13, -2, 11, 7, 13, 9],\n [14, -6, -5, -11, 2, -1, 9, 3, -4, 1],\n [-14, 14, -8, 13, -5, -6, 12, 13, 13, 10],\n [-12, 7, 8, -1, 11, 10, 0, -13, 9, -1],\n [1, -8, -11, 3, 9, 12, -10, -9, 12, -8],\n [0, 11, -14, 9, -11, 14, 10, -14, -4, 3],\n [-1, 7, -4, -5, 12, 2, -11, 9, 0, 11],\n [1, 6, -2, -6, -4, -4, -9, -14, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33001077820200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-2, 4, 6, 8, -4, 5, 4, 8, 4, -2],\n [4, 11, -4, 11, -9, -14, 3, -2, -5, 2],\n [6, -4, 6, 6, 0, -2, -6, 1, -6, -2],\n [8, 11, 6, 12, 6, -14, -12, -4, 6, -4],\n [-4, -9, 0, 6, 9, -10, -4, 2, 0, 0],\n [5, -14, -2, -14, -10, -5, -2, 4, 2, 14],\n [4, 3, -6, -12, -4, -2, 2, 8, -3, -2],\n [8, -2, 1, -4, 2, 4, 8, -12, -2, 6],\n [4, -5, -6, 6, 0, 2, -3, -2, -14, -6],\n [-2, 2, -2, -4, 0, 14, -2, 6, -6, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1509219595", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[9, 6, 3, -2, 2, -1, 6, 10, 0, 0],\n [6, 12, 2, 4, 11, 6, 9, 2, 0, -2],\n [3, 2, -12, 6, 8, 2, 8, 3, -3, 2],\n [-2, 4, 6, 8, 4, 4, 6, 7, -10, -3],\n [2, 11, 8, 4, -4, -11, -8, 2, 6, 0],\n [-1, 6, 2, 4, -11, -1, 3, -13, 2, -1],\n [6, 9, 8, 6, -8, 3, 11, 0, -4, 2],\n [10, 2, 3, 7, 2, -13, 0, -11, -3, -7],\n [0, 0, -3, -10, 6, 2, -4, -3, -4, 4],\n [0, -2, 2, -3, 0, -1, 2, -7, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178864606787", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[10, 3, -2, 4, 0, 6, 4, 4, -6, 0],\n [3, -2, 2, -4, -1, -4, 8, 7, -10, -4],\n [-2, 2, -14, -1, -2, -4, -11, -2, 7, 0],\n [4, -4, -1, 13, 4, -8, 6, 4, -4, 7],\n [0, -1, -2, 4, -6, 8, -4, -4, -2, 2],\n [6, -4, -4, -8, 8, -11, -2, 8, 10, -2],\n [4, 8, -11, 6, -4, -2, -2, -8, 0, 0],\n [4, 7, -2, 4, -4, 8, -8, 14, 4, -2],\n [-6, -10, 7, -4, -2, 10, 0, 4, 5, 0],\n [0, -4, 0, 7, 2, -2, 0, -2, 0, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159928722454", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[8, -4, -2, -2, 0, 12, 6, 0, -12, -8],\n [-4, -10, -4, 10, 10, -13, -4, 6, 8, 2],\n [-2, -4, 2, -4, -4, -1, -2, 8, 6, -7],\n [-2, 10, -4, 8, -10, 6, 1, 0, 4, 0],\n [0, 10, -4, -10, 9, 5, -4, 2, 0, 10],\n [12, -13, -1, 6, 5, 7, 0, -4, -6, 5],\n [6, -4, -2, 1, -4, 0, 1, -14, -2, -2],\n [0, 6, 8, 0, 2, -4, -14, -14, 10, -12],\n [-12, 8, 6, 4, 0, -6, -2, 10, -5, 6],\n [-8, 2, -7, 0, 10, 5, -2, -12, 6, 13]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-322005070", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the 8th power of the matrix:\n[[4, 8, -2, -2, -14, -13, -14, 9, -10, 9],\n [-12, 14, 13, -8, 9, 7, -2, 14, 8, 13],\n [3, 9, 6, -8, -14, -10, 2, 13, 14, -7],\n [0, 5, -11, -13, -10, -14, 10, -10, -9, -13],\n [11, 11, -14, -11, -8, 7, 11, -14, -14, -7],\n [5, 1, 6, -2, 8, 9, 11, 8, 3, 5],\n [-5, -3, -14, -5, -6, -12, 13, 4, 11, -6],\n [-5, 4, 1, 9, 3, -1, 14, -12, -13, -14],\n [3, 9, -6, -2, -13, -8, 1, 6, 4, 10],\n [0, 7, -4, -14, 6, -8, 5, -7, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4673706571", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-6, 10, 10, -14, -13, 4, -1, 5, -5, -6],\n [-5, 14, -9, 2, 13, 10, -9, -11, 5, -12],\n [8, 4, 3, 11, 9, -11, -7, 2, -10, -2],\n [10, -14, 12, -2, -11, 7, 11, 9, -1, -12],\n [-10, -8, -14, 8, 14, -3, -4, 9, -7, 10],\n [-9, 13, 7, -13, 4, 5, 5, 9, -1, -14],\n [-5, 1, -11, 12, 13, 14, -4, 1, 12, 5],\n [-14, 1, 4, 6, 7, -6, -6, -6, 12, 2],\n [-3, 10, -2, -7, 1, 3, 14, 12, -14, -14],\n [-3, -9, -6, 8, -10, 12, 1, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281854513544", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-14, 4, 7, 14, -7, -12, 11, 10, 11, -10],\n [8, -7, 4, 3, 3, 6, -14, 0, 3, 14],\n [10, -8, 1, 1, 0, -9, -6, -8, -1, -4],\n [6, 1, 10, -9, 7, 12, 1, 5, 14, 1],\n [-3, 2, -10, 12, 10, -2, -7, 9, -10, -3],\n [-6, -12, -12, -14, 10, 7, 3, 9, -3, -6],\n [-6, 3, 3, 14, -8, 12, -11, -2, 2, 9],\n [-13, -1, -12, -10, -1, -12, 8, -8, 3, -2],\n [14, 8, 12, 7, -5, 10, -2, 1, -6, -13],\n [8, -10, 14, 7, 2, 8, 7, -11, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129551293", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -13, 9, 3, 6, 12, 7, -4, -2, -7],\n [12, -14, 2, -3, -11, 6, -2, 14, -6, 12],\n [-8, 8, 9, -10, -10, 2, -6, -9, 10, 4],\n [1, 6, -13, -5, 1, -10, 0, -2, -2, -2],\n [0, -1, -7, -4, 3, 9, -11, 11, -5, -14],\n [14, -10, -2, -14, 8, -7, -12, -12, -8, -11],\n [-12, 0, -7, -12, 14, -8, 3, -4, -4, 2],\n [13, -9, -7, -14, 14, -5, 13, 10, 4, -12],\n [-11, -4, 0, -14, -6, -4, 4, -2, 11, 1],\n [-11, -14, 5, -2, -14, -10, -10, -1, 12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36962680232", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the 7th power of the matrix:\n[[-1, -7, -11, -8, 5, 4, 0, 7, -11, 4],\n [-6, 6, -2, -1, 8, 13, -1, 7, -5, 1],\n [-10, 8, 12, -9, 11, -13, -2, 14, -2, 4],\n [3, 13, 4, -14, -7, 7, 1, 14, -13, -7],\n [-9, 1, 8, -4, 2, 8, 4, -4, 13, -7],\n [7, -11, -4, -7, -6, 11, -13, 1, -9, 6],\n [6, 11, 12, 4, 13, -7, -1, 9, 1, -3],\n [-10, 9, 11, 9, 4, 3, -6, -13, 10, 5],\n [-3, 14, -13, -5, -14, -11, 10, -3, -6, -11],\n [-6, 13, -9, -14, -5, 14, -1, 7, 10, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4054830322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -9, 3, 5, 1, 0, 1, -7, -2, 8],\n [-4, 13, 14, 10, -8, 2, 3, 7, 8, 4],\n [10, -2, 0, 8, 7, 14, 7, -14, 14, 1],\n [-10, 11, -12, 8, -5, 4, -10, -8, -1, -12],\n [-2, -2, -5, -13, -9, -7, -11, 10, -3, 13],\n [0, -7, -8, -1, 8, 4, -1, 7, -2, 14],\n [6, -14, 12, 4, 14, 13, -14, -11, -5, -12],\n [12, 5, -6, -12, 13, -9, -9, 8, 10, -3],\n [8, -14, 1, 9, -10, -6, -5, -2, 0, -3],\n [-10, -10, 13, 13, 3, -3, 12, -12, 11, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7095603559", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 7) of the 7th power of the matrix:\n[[-8, 2, 4, 13, 3, -14, 10, 9, -10, 12],\n [13, -13, -14, -8, 14, -4, -4, 3, 2, -13],\n [-8, -8, -5, 7, 6, -12, -3, -12, -4, 14],\n [-3, 10, -11, 10, 1, 5, 3, -11, 7, -9],\n [6, 0, -14, -12, -10, 7, 2, -1, -6, -12],\n [11, -2, -12, -4, -13, 9, 0, -2, 4, 7],\n [1, 3, -8, -2, -11, -6, -5, -6, -8, 0],\n [13, -7, 4, -4, -10, -13, -5, 1, 8, -2],\n [-7, -6, -4, -4, 8, 11, 1, -5, 14, 9],\n [-3, 10, -9, 13, -3, -5, 3, 3, -11, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2716931225", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^8 where A is:\n[[-8, 3, -7, -4, -8, -6, -7, -12, 2, -13],\n [0, -1, 14, 3, 1, 5, 7, -11, 10, 5],\n [-9, -9, 11, -4, 11, 2, 9, 13, -12, -2],\n [7, -12, 1, 0, -4, 3, 0, -10, 1, 1],\n [2, -6, 12, 8, -12, 5, -2, 7, -12, 13],\n [-8, 14, -9, -6, -3, 0, 6, 5, -12, -5],\n [-14, 4, 4, 8, 8, -2, -3, -14, 4, 14],\n [9, 1, 10, 8, 8, 13, 0, 1, -4, 9],\n [-9, -4, -12, 0, -14, -8, -14, 2, -6, 14],\n [11, 8, -2, -4, 14, 5, -9, -14, -8, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "684960070", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[7, 5, 8, 4, 2, -11, -12, -14, 3, 12],\n [6, 0, -7, -14, 5, -1, -11, -10, 8, -2],\n [13, 9, 0, -9, -14, 8, 4, -2, 14, 14],\n [-9, 0, 1, 9, 8, 1, -5, 7, -6, -6],\n [2, 2, 2, 9, -3, -2, -3, -1, -5, 8],\n [4, 14, -13, -11, 4, -8, 11, 0, 0, 9],\n [-9, -12, -9, 1, -13, 13, -8, -4, 11, -8],\n [-11, 14, 9, 5, -8, -11, 14, -3, -10, 8],\n [14, 14, 11, 4, 11, -10, 12, 4, 6, -12],\n [12, 11, -4, -8, 14, 2, 10, -6, 6, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2814420615290", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 2, 4, 4, -7, 10, -7, 4, 3, -8],\n [2, -5, 2, 9, 1, 6, -2, -5, 10, -8],\n [4, 2, -3, -8, -6, -5, -9, -4, -4, -8],\n [4, 9, -8, 8, 10, 6, 1, 2, 1, -4],\n [-7, 1, -6, 10, 9, 11, 8, 2, -4, 2],\n [10, 6, -5, 6, 11, -13, 9, 4, -10, 3],\n [-7, -2, -9, 1, 8, 9, -7, -12, -2, 1],\n [4, -5, -4, 2, 2, 4, -12, 5, 4, 12],\n [3, 10, -4, 1, -4, -10, -2, 4, 14, 4],\n [-8, -8, -8, -4, 2, 3, 1, 12, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15666706263377", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[6, -4, -11, 6, 0, 6, -4, 4, 4, -4],\n [-4, 2, -7, 10, 6, 8, 2, 6, 14, -6],\n [-11, -7, -12, -8, 0, -6, 12, 0, 10, -4],\n [6, 10, -8, -2, 13, -2, 6, -1, 0, -5],\n [0, 6, 0, 13, -8, 1, -12, 8, 0, 2],\n [6, 8, -6, -2, 1, -13, 4, -10, 2, -6],\n [-4, 2, 12, 6, -12, 4, -13, 0, 12, -2],\n [4, 6, 0, -1, 8, -10, 0, 0, -6, -4],\n [4, 14, 10, 0, 0, 2, 12, -6, 3, -8],\n [-4, -6, -4, -5, 2, -6, -2, -4, -8, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33908441786", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-11, 7, 7, -2, 1, 5, 14, -9, 11, -4],\n [9, 14, -12, 5, -5, 14, 13, -14, 5, -4],\n [11, 11, -3, -1, 10, -7, -4, -11, 13, -8],\n [-5, 4, 10, 11, -11, -13, 11, 6, 3, -1],\n [11, 1, 7, -4, -5, 2, -1, 7, -11, 4],\n [-13, -8, -6, 13, 4, 1, 7, 10, 1, 3],\n [8, 6, 6, -4, -8, -6, -11, 10, -2, 12],\n [11, 10, 14, -11, 4, -13, -6, -3, -13, -9],\n [-10, -10, 5, 7, -10, 12, -11, 14, -6, 14],\n [7, 12, -5, 1, -5, 14, -5, 14, 4, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "636379953038", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, 2, -10, 11, -9, 12, 9, 12, 0, 10],\n [12, 4, 3, 14, -11, -7, 12, 1, 9, 4],\n [5, -12, -5, -13, -11, -9, -4, -1, 1, 12],\n [6, 4, -13, 10, 2, -6, 2, 0, -8, 7],\n [8, 4, -12, 14, 12, -14, -11, 13, 3, 11],\n [-7, 4, 8, 8, 13, 10, -9, -14, -7, -14],\n [4, -4, 6, 9, 10, 0, 8, 10, -4, 4],\n [14, 6, -5, 9, -3, -14, 9, -8, 2, 14],\n [14, 11, 13, -5, 13, -9, 2, 3, -10, 3],\n [11, 2, 7, 1, -7, 9, -2, 14, 9, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241812064112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-4, 1, 10, -6, -4, -1, -2, 0, -2, 2],\n [1, -1, 2, -5, -2, 0, -8, -8, -2, 2],\n [10, 2, -10, 12, 2, 4, 6, 2, -4, 12],\n [-6, -5, 12, 0, -2, 3, 4, 8, 0, 8],\n [-4, -2, 2, -2, -12, 4, 0, 7, -11, 10],\n [-1, 0, 4, 3, 4, 12, -2, 7, -5, 7],\n [-2, -8, 6, 4, 0, -2, 12, 0, -12, -2],\n [0, -8, 2, 8, 7, 7, 0, -13, -7, -4],\n [-2, -2, -4, 0, -11, -5, -12, -7, 5, 10],\n [2, 2, 12, 8, 10, 7, -2, -4, 10, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "331296862134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-7, 0, -6, 3, -2, -2, 6, 11, 5, 9],\n [0, 1, -6, -1, -9, -2, -4, 1, -9, -4],\n [-6, -6, 5, -2, 4, -2, 0, 2, 4, 0],\n [3, -1, -2, 1, 2, 9, 6, -5, -6, 1],\n [-2, -9, 4, 2, -6, -6, -5, 9, 0, -4],\n [-2, -2, -2, 9, -6, 14, 12, -6, -1, 0],\n [6, -4, 0, 6, -5, 12, 9, -2, -10, 1],\n [11, 1, 2, -5, 9, -6, -2, -13, 0, 1],\n [5, -9, 4, -6, 0, -1, -10, 0, -14, -4],\n [9, -4, 0, 1, -4, 0, 1, 1, -4, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2501191876", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[3, 10, -4, 8, -1, -1, 8, 10, 6, -1],\n [10, 10, 3, 0, 0, 12, -4, -4, 3, 5],\n [-4, 3, -1, -8, 10, 0, 4, 1, 2, 1],\n [8, 0, -8, -8, -6, -4, -5, -2, 6, 0],\n [-1, 0, 10, -6, -7, 3, -6, 4, 8, -2],\n [-1, 12, 0, -4, 3, -2, 4, -2, 0, 0],\n [8, -4, 4, -5, -6, 4, -7, -6, 0, 2],\n [10, -4, 1, -2, 4, -2, -6, 2, 4, -10],\n [6, 3, 2, 6, 8, 0, 0, 4, 10, -2],\n [-1, 5, 1, 0, -2, 0, 2, -10, -2, 13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4994865957", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-9, 0, 11, 5, 2, -7, -2, 9, -1, 12],\n [0, 10, -6, 0, -6, 2, -4, 0, -9, 8],\n [11, -6, -8, -2, -2, 8, 2, -6, -1, 8],\n [5, 0, -2, 13, 2, -7, 4, -5, 7, -5],\n [2, -6, -2, 2, -9, 0, 6, -3, -7, 0],\n [-7, 2, 8, -7, 0, -7, 5, 10, 4, 1],\n [-2, -4, 2, 4, 6, 5, 14, 7, -6, -7],\n [9, 0, -6, -5, -3, 10, 7, 8, 2, -10],\n [-1, -9, -1, 7, -7, 4, -6, 2, 12, 2],\n [12, 8, 8, -5, 0, 1, -7, -10, 2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11628529572", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-1, 13, 11, 0, -9, 12, 11, -11, -7, 4],\n [12, -10, -2, 1, -14, -2, 7, -4, 6, -7],\n [10, -7, 9, 13, -1, -2, -12, -11, 12, 5],\n [0, 0, 12, 6, -2, -6, 13, 10, -5, 14],\n [-3, -1, -14, -1, -1, -7, 1, -1, -14, 1],\n [3, -8, 0, 9, 2, 4, 8, -2, -6, 9],\n [9, 0, 10, 11, -12, 9, -14, 1, -7, 14],\n [8, -2, -7, 2, 7, 8, -1, 12, 6, 6],\n [-8, 12, 0, 1, 4, -9, 8, -14, -3, 3],\n [1, -3, 5, -2, -7, 12, 14, 11, 7, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128218719283", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[11, 8, -7, 3, 3, 7, 4, -5, 6, 2],\n [8, 0, -6, 6, -1, 6, 2, -9, -8, -8],\n [-7, -6, 11, 4, -8, 8, 8, -5, 0, -3],\n [3, 6, 4, -14, -4, 0, -2, 5, 5, -10],\n [3, -1, -8, -4, -3, -2, 2, 10, -1, -6],\n [7, 6, 8, 0, -2, 14, 2, 8, 10, 10],\n [4, 2, 8, -2, 2, 2, -4, 8, -1, -8],\n [-5, -9, -5, 5, 10, 8, 8, 3, -11, 6],\n [6, -8, 0, 5, -1, 10, -1, -11, -9, -1],\n [2, -8, -3, -10, -6, 10, -8, 6, -1, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542897138575", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[10, -8, 0, 6, -12, 2, -4, -6, -10, 10],\n [-5, 0, 13, 14, -1, -11, 6, 5, -13, -3],\n [-14, 9, 5, -10, -9, 9, -4, -7, -8, -11],\n [-9, 1, 5, 0, -1, 8, -3, 14, -3, 1],\n [0, 14, -2, -4, 2, 6, 0, -1, -5, -3],\n [1, 0, -5, -11, 12, 8, 14, -6, 6, 5],\n [-6, 6, 10, 9, 5, -4, -4, -8, 6, -5],\n [-11, -10, -10, -4, -6, 13, 1, -6, 7, -11],\n [-13, -1, -12, 3, 6, -9, -4, 6, 3, -3],\n [-10, -6, 5, 13, 11, 3, 4, -12, -6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "616122422840", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[2, 2, 8, 8, -13, -6, -6, -10, 0, 0],\n [-12, 4, 13, -12, -9, -11, 9, -2, 12, -2],\n [12, -4, -10, -14, -6, 2, 7, -14, -12, 0],\n [11, 6, 11, 8, -5, -7, -3, 10, 7, 0],\n [12, -6, 9, 10, -5, 5, -6, 0, 8, 6],\n [6, -14, -13, 11, 4, -1, -7, -9, -3, 11],\n [12, 14, 0, -1, 6, 14, -14, 13, -4, 13],\n [10, -12, 4, 3, 5, 13, -13, 14, 10, 13],\n [11, -8, -7, 4, 7, 0, -5, 7, 14, -14],\n [-9, -2, -1, -12, -4, -12, 4, -5, 12, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3541541587051", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-4, 0, 11, 12, 9, -2, -10, -11, -2, -6],\n [10, 2, -13, 9, -10, 1, -8, -14, 13, 11],\n [-3, 6, -4, -3, 4, 11, -3, -3, -1, -13],\n [-13, 10, 14, -11, 5, 8, 11, 1, -5, -2],\n [-13, -12, 4, -9, 4, 12, 6, 5, 4, -7],\n [-1, -5, -12, -9, 14, 0, 8, 8, 3, -1],\n [4, 13, 11, -5, 0, -11, 8, -13, -12, -8],\n [8, 1, -5, 4, 13, 2, 13, 4, -10, 8],\n [5, -2, -2, -4, -4, 1, 0, 2, 7, 3],\n [13, 4, -11, 7, 7, 8, -10, -8, -13, -14]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4407167333502", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-3, -2, 3, -8, -8, -8, 0, 11, 0, 2],\n [-2, 11, -9, 2, 4, 4, 1, 3, -10, 4],\n [3, -9, -5, 4, -4, 12, -14, 9, -4, -5],\n [-8, 2, 4, 7, 1, -8, -6, 0, -6, 13],\n [-8, 4, -4, 1, -12, -2, 0, -6, -4, -13],\n [-8, 4, 12, -8, -2, 10, -7, 0, 11, 7],\n [0, 1, -14, -6, 0, -7, 4, 11, -6, 2],\n [11, 3, 9, 0, -6, 0, 11, -7, 2, -4],\n [0, -10, -4, -6, -4, 11, -6, 2, -4, -10],\n [2, 4, -5, 13, -13, 7, 2, -4, -10, 14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3016770164", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) of the matrix A^7 where A is:\n[[4, -3, 10, 5, -11, -12, -10, -12, 10, 0],\n [4, -13, -3, -10, 7, 2, -1, 13, 12, 7],\n [-5, -12, -11, -9, 9, 10, 7, 1, -8, 0],\n [6, 13, 10, 5, 11, -4, 7, 6, -14, -10],\n [-2, 6, -1, -6, 2, 0, 6, -8, 12, 7],\n [7, -3, 8, -9, 6, 1, 11, -10, -6, -1],\n [-7, -1, -3, -5, 5, 5, 11, 6, -2, 14],\n [4, 0, -7, 8, 6, -5, -12, 6, -12, 11],\n [-10, 1, 2, -9, 11, 5, 5, 1, 9, -13],\n [5, 0, 3, -14, 11, 14, 14, 4, -3, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101323757", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 7) of the matrix A^8 where A is:\n[[-9, -2, -8, 2, 4, 6, -2, 7, 4, 8],\n [-2, -10, 3, -9, -2, 2, 0, -2, -6, 2],\n [-8, 3, -1, -4, -5, -2, -11, -8, 4, 0],\n [2, -9, -4, 1, -2, -11, 11, -1, 8, 0],\n [4, -2, -5, -2, 7, -2, -4, 8, 1, -2],\n [6, 2, -2, -11, -2, 4, 2, 10, 4, -5],\n [-2, 0, -11, 11, -4, 2, -7, -4, -4, -4],\n [7, -2, -8, -1, 8, 10, -4, -11, 2, -8],\n [4, -6, 4, 8, 1, 4, -4, 2, 7, 3],\n [8, 2, 0, 0, -2, -5, -4, -8, 3, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49425608556", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[4, 10, 6, -5, -3, 10, 12, 10, -2, 5],\n [10, 13, 4, 4, -2, -2, 1, -3, 8, 8],\n [6, 4, 3, 0, -4, -6, -2, 6, -4, -10],\n [-5, 4, 0, -4, 11, -2, -6, -2, 5, 4],\n [-3, -2, -4, 11, -14, -2, 2, 6, -2, 2],\n [10, -2, -6, -2, -2, 0, -8, -2, 2, -2],\n [12, 1, -2, -6, 2, -8, -6, -4, -4, -8],\n [10, -3, 6, -2, 6, -2, -4, 12, -7, -2],\n [-2, 8, -4, 5, -2, 2, -4, -7, -6, -7],\n [5, 8, -10, 4, 2, -2, -8, -2, -7, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9628921739571", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[2, 11, 6, -8, -6, 3, 4, 6, 7, 6],\n [11, -10, 0, -4, -2, -8, -9, -4, 6, 7],\n [6, 0, 10, 0, 5, -3, -1, -8, 0, -7],\n [-8, -4, 0, 3, 2, 0, 4, 4, -6, 0],\n [-6, -2, 5, 2, -11, 8, 9, -2, -2, 4],\n [3, -8, -3, 0, 8, 7, 0, -6, 12, 1],\n [4, -9, -1, 4, 9, 0, -13, -2, -2, -2],\n [6, -4, -8, 4, -2, -6, -2, -5, 9, 2],\n [7, 6, 0, -6, -2, 12, -2, 9, 10, 11],\n [6, 7, -7, 0, 4, 1, -2, 2, 11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77170456600", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-11, 14, 0, -14, 7, 14, 5, -14, -6, -3],\n [-11, 13, 7, -2, -8, -7, 13, -2, -4, -6],\n [10, 9, 1, -5, -4, -3, 13, -1, 4, -3],\n [3, 6, 2, -12, -14, 14, 4, 14, -11, 8],\n [13, 1, -3, 6, 6, -2, 2, -7, -2, 5],\n [11, -10, 3, 0, -3, 14, 2, 10, 0, -13],\n [-9, 2, 1, 2, 10, 5, -6, 12, -10, 8],\n [-14, -9, 9, -1, 2, 10, 4, -14, -14, -2],\n [-1, 12, -9, 12, -9, -14, -1, -12, 8, -5],\n [4, 4, 4, 13, 8, -11, 5, 4, -5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31671846512", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 5) of the matrix A^6 where A is:\n[[10, -13, -11, 9, -9, -8, 1, 14, -8, 3],\n [5, 11, 11, 7, 4, -6, 14, 5, -5, -2],\n [3, 1, 7, 2, 7, -2, -3, -5, -14, -7],\n [6, 7, 3, -13, 1, -3, -6, -12, 7, 11],\n [6, 13, -11, 11, -13, -7, -5, 1, 8, -4],\n [3, 7, -1, -7, 8, 0, 2, 6, 3, -9],\n [8, -1, 8, -12, -8, 0, 6, 9, 13, 1],\n [1, -7, -8, -9, -13, 7, -2, -3, 0, 12],\n [-6, -13, 2, 12, 14, -10, -4, 7, 4, 9],\n [-8, -13, 1, -3, 8, 0, -14, 10, -2, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165825507", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-9, -2, 3, -12, -14, 0, 11, -2, -10, 10],\n [-2, 7, -10, 13, 4, 6, 9, 13, 3, 6],\n [7, -5, 9, -7, 0, 6, 10, 5, 13, 10],\n [12, 8, 7, -11, -13, 9, -9, 13, -12, -8],\n [-5, 8, -9, 1, -13, 9, 2, -2, -14, -9],\n [-10, 10, -2, 13, 8, 3, 14, -3, -8, 0],\n [-12, 1, -14, 12, 1, 9, -3, 4, 12, -7],\n [8, -3, 0, -13, 14, 2, -8, -2, -14, -9],\n [-2, -4, -5, 1, 12, 11, 9, 8, 5, 2],\n [2, -11, -10, 13, 8, -1, 5, -5, -1, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5196529725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-14, 4, 0, 2, -1, 2, 8, 1, 2, 0],\n [4, -5, 2, -9, -5, -3, 8, 8, 6, 1],\n [0, 2, -6, -8, 2, -4, -8, 2, 2, -2],\n [2, -9, -8, 5, -2, -6, -4, -4, -6, 12],\n [-1, -5, 2, -2, 2, 3, -12, -6, -4, -11],\n [2, -3, -4, -6, 3, 2, 6, -11, 8, -6],\n [8, 8, -8, -4, -12, 6, 6, -3, -10, 4],\n [1, 8, 2, -4, -6, -11, -3, -12, -12, 8],\n [2, 6, 2, -6, -4, 8, -10, -12, -6, -4],\n [0, 1, -2, 12, -11, -6, 4, 8, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11439031197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-6, -2, -14, 10, 0, -11, -11, 5, -5, 13],\n [10, -9, 12, 9, -3, 5, 1, -12, -1, -14],\n [-5, 0, -8, -11, -1, 9, 1, -1, -12, 2],\n [6, -1, 3, -12, 7, 4, -12, -3, 7, -10],\n [-5, -6, -14, -2, -12, 4, -4, 1, -9, 9],\n [-12, 4, -9, -7, 7, -2, -3, -5, -12, -11],\n [-14, -2, 9, -11, 7, -4, 4, -4, -3, -4],\n [-9, -3, 12, -6, 10, -5, -12, -12, 5, 13],\n [8, 1, -12, -5, 9, -4, -7, -9, 5, -4],\n [13, 12, 6, -3, 1, 3, -2, 7, -12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-808933533", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[7, 6, 3, 2, 2, 3, 2, -5, -10, -4],\n [6, 10, 8, 0, 8, 2, 4, -5, 5, 10],\n [3, 8, 11, 10, -6, -2, 10, 6, 1, -4],\n [2, 0, 10, 0, 6, -6, -2, 5, 2, 0],\n [2, 8, -6, 6, -10, -1, 6, 0, -4, 9],\n [3, 2, -2, -6, -1, -1, -10, 2, -2, 0],\n [2, 4, 10, -2, 6, -10, -9, -2, 6, -10],\n [-5, -5, 6, 5, 0, 2, -2, -11, 6, 6],\n [-10, 5, 1, 2, -4, -2, 6, 6, -1, -3],\n [-4, 10, -4, 0, 9, 0, -10, 6, -3, -9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1784225034401", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-12, 1, -3, -11, -14, -11, -14, 6, 12, 12],\n [-7, 9, -10, 11, -13, -3, 7, 2, -8, -4],\n [-11, -10, -9, -4, -14, 10, -5, 5, 9, 6],\n [-4, 9, 2, -7, 12, -2, 12, 5, 3, 12],\n [7, 1, -13, -10, 3, -12, 12, 7, 2, 1],\n [-9, 4, -8, 3, -1, -9, -7, 0, 0, 0],\n [1, -14, -4, 12, 14, 10, -10, -10, 14, 13],\n [6, -9, -13, -9, -1, -4, -11, 9, 14, 12],\n [10, -6, 9, -12, 11, 1, -4, 12, -11, -14],\n [10, 6, 7, 1, 4, 1, -4, 11, -7, 8]], determine the value at position (5, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2293776", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-14, 2, 11, 0, 2, -8, 2, 9, 4, 10],\n [2, 11, 6, 4, 6, -3, 4, 8, -1, -3],\n [11, 6, 13, 7, 8, 4, -4, -12, 0, 10],\n [0, 4, 7, -8, -5, 4, -4, 0, -6, 0],\n [2, 6, 8, -5, -4, -1, 0, 11, 6, -4],\n [-8, -3, 4, 4, -1, 8, -10, -1, 0, 6],\n [2, 4, -4, -4, 0, -10, -2, 2, 2, 0],\n [9, 8, -12, 0, 11, -1, 2, 7, -2, 6],\n [4, -1, 0, -6, 6, 0, 2, -2, -5, -3],\n [10, -3, 10, 0, -4, 6, 0, 6, -3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57945315647", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, 2, -9, 2, 6, 2, 4, 0, 4, 4],\n [2, -8, 6, 7, 14, 2, -10, -1, 4, 2],\n [-9, 6, -8, 1, 0, -9, -13, 2, 0, 6],\n [2, 7, 1, 6, 4, 3, 5, 6, 0, -12],\n [6, 14, 0, 4, 10, 6, -2, 3, 6, 2],\n [2, 2, -9, 3, 6, 13, 8, 6, 7, -2],\n [4, -10, -13, 5, -2, 8, 5, 4, 7, 4],\n [0, -1, 2, 6, 3, 6, 4, -11, 3, 0],\n [4, 4, 0, 0, 6, 7, 7, 3, -5, 0],\n [4, 2, 6, -12, 2, -2, 4, 0, 0, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292200095088", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-11, 2, 12, -4, 2, 0, 8, -4, -6, -6],\n [2, -2, 0, 0, -2, -8, -8, -4, -12, 2],\n [12, 0, -4, 6, -2, -5, -3, 8, -7, -4],\n [-4, 0, 6, 0, -2, 7, 2, -1, -7, 0],\n [2, -2, -2, -2, 0, 6, -5, 0, 2, 2],\n [0, -8, -5, 7, 6, 0, -12, 0, -3, 8],\n [8, -8, -3, 2, -5, -12, -4, -4, -4, 4],\n [-4, -4, 8, -1, 0, 0, -4, -3, -4, 2],\n [-6, -12, -7, -7, 2, -3, -4, -4, -12, -7],\n [-6, 2, -4, 0, 2, 8, 4, 2, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121195768906", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the 6th power of the matrix:\n[[-5, 14, 1, -13, 2, 7, 5, -5, -2, -3],\n [0, -8, 12, 7, 6, 11, 13, -2, -3, -3],\n [13, -13, -10, 10, 10, -13, 8, 11, 5, -2],\n [14, -12, -4, 1, -14, 4, -4, -6, -1, -6],\n [-8, 1, -12, 14, 4, -11, -8, 8, 13, -3],\n [3, 13, -10, 8, 8, 7, 11, -5, -3, -7],\n [4, 0, -14, -12, 12, 3, 3, -13, -10, 14],\n [-14, -5, 5, -5, -10, 3, 6, 11, 0, 5],\n [-7, 2, -3, 6, 12, -3, 11, -14, 11, 11],\n [-11, -7, -14, 12, 0, 3, -14, -4, 8, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80814182", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-14, -3, 1, 7, 7, -5, 3, 0, 2, -5],\n [-12, 11, 6, 1, -9, -12, -6, -4, 6, -2],\n [3, 11, 7, 13, 9, 12, 7, -11, 7, 9],\n [-7, -2, -5, -13, -7, -9, 1, 3, 2, -9],\n [-2, 8, -1, 11, 6, -5, 9, -4, -2, -3],\n [-6, -11, -8, 9, 14, 7, -13, -8, 14, -6],\n [-10, 0, 3, -11, 4, 5, 11, -8, 11, -7],\n [2, -2, 9, 6, 13, 8, -4, 12, -14, -13],\n [2, -10, -9, 11, 10, 9, -8, 13, 6, 0],\n [4, 1, 10, -2, -10, -12, -12, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4092177320949", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[7, -6, 4, -12, 6, -3, -2, -11, -14, 6],\n [-6, -4, 1, 2, -6, -8, 0, -9, 2, 4],\n [4, 1, -7, 6, 1, 4, -2, 6, 0, 1],\n [-12, 2, 6, -9, -4, 6, -2, 8, 1, 4],\n [6, -6, 1, -4, -10, 8, -12, -2, 0, -6],\n [-3, -8, 4, 6, 8, 11, 3, -3, 5, 11],\n [-2, 0, -2, -2, -12, 3, -6, -5, -10, 0],\n [-11, -9, 6, 8, -2, -3, -5, -2, -2, 6],\n [-14, 2, 0, 1, 0, 5, -10, -2, 4, -2],\n [6, 4, 1, 4, -6, 11, 0, 6, -2, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209360824201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (10, 1) of the result:\nA =\n[[-8, 9, 7, 7, -4, 8, 2, 6, -2, -2],\n [9, -2, -2, 11, 6, 1, -1, -5, -6, -2],\n [7, -2, 2, -12, -8, -2, 0, -4, 0, 6],\n [7, 11, -12, 4, -8, -5, -2, 5, 5, -2],\n [-4, 6, -8, -8, 6, 2, 0, 6, -4, 2],\n [8, 1, -2, -5, 2, -3, 2, -6, -1, 10],\n [2, -1, 0, -2, 0, 2, -9, -8, 6, 4],\n [6, -5, -4, 5, 6, -6, -8, -11, 0, -6],\n [-2, -6, 0, 5, -4, -1, 6, 0, -7, 0],\n [-2, -2, 6, -2, 2, 10, 4, -6, 0, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1435771266", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-11, -3, -4, -12, -3, -10, -9, 4, 3, 1],\n [8, -4, -10, -6, -12, -7, -9, -11, -3, -3],\n [10, 6, 1, -5, 7, -1, -2, -6, -8, -3],\n [-10, 3, -11, -13, -12, 11, -3, -12, -11, -9],\n [-3, 4, -5, -14, 2, 1, -6, 10, 6, -6],\n [12, 8, -6, -3, 8, -6, 0, -13, -4, -4],\n [-7, 8, -9, 6, 5, -8, -12, -7, 3, 2],\n [-4, -13, 10, 6, 12, 9, 4, -8, 3, -7],\n [-1, -8, 13, 6, 13, 12, -11, 2, -10, -3],\n [-6, 11, 5, -2, 10, 13, 3, 5, -6, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1930658342661", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[6, 12, -7, -14, 2, 10, -6, 5, -2, -13],\n [-2, -6, 5, -9, 13, -14, 13, 10, -10, -12],\n [-11, -14, -1, -6, 9, -11, 3, -1, 10, -11],\n [10, -5, -12, 8, -8, -5, -2, -11, 3, -4],\n [10, -11, 9, -1, 3, -7, 12, -5, -10, 8],\n [-8, -3, 10, -12, 11, -11, -5, -11, 0, 14],\n [-5, 6, 7, 1, 0, 4, 14, 5, 4, 3],\n [11, -3, 10, 1, -14, 1, -13, 9, 0, -8],\n [13, -14, -10, -5, 7, 6, -11, -1, -2, -14],\n [1, 8, -6, 7, 1, 4, 0, 11, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256450553", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-5, 6, -3, 13, -14, 6, 2, -6, 8, 4],\n [10, 3, 13, -8, -6, 7, 11, 6, -3, -8],\n [-1, 0, 0, -9, 6, -1, -13, -7, -2, 8],\n [-9, -10, -10, 10, -14, -6, -9, 5, 11, -8],\n [-6, -10, -1, -10, -7, -8, -2, -2, -7, -4],\n [13, 11, 3, 10, 4, -9, 7, -13, 13, -2],\n [8, 10, 13, 11, -4, -14, 9, -13, 2, -7],\n [-13, -9, 7, -10, 1, -7, 4, 1, -2, 11],\n [5, -8, 1, 8, 1, 14, -3, -1, 9, 3],\n [12, 13, 3, 1, 5, 1, -2, 11, 14, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166920864", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (8, 5) of the result:\nA =\n[[11, 5, -2, 4, 8, -12, -10, -1, 4, -4],\n [5, 6, 8, -2, -6, -6, -2, 6, 6, 9],\n [-2, 8, 9, 4, 4, 7, -8, -8, 1, 6],\n [4, -2, 4, 7, 0, -6, 8, 6, 4, -5],\n [8, -6, 4, 0, -7, -7, 11, 4, 8, 11],\n [-12, -6, 7, -6, -7, -14, 4, 0, -6, -2],\n [-10, -2, -8, 8, 11, 4, 8, 1, 10, 10],\n [-1, 6, -8, 6, 4, 0, 1, -3, 10, 6],\n [4, 6, 1, 4, 8, -6, 10, 10, -11, 4],\n [-4, 9, 6, -5, 11, -2, 10, 6, 4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90054535486", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 8) of the result:\nA =\n[[5, -5, 13, 9, 5, -4, 11, -5, 14, 8],\n [-10, -6, 5, 4, -2, 3, 2, 12, -9, -5],\n [-13, 9, -9, 13, 13, 6, -2, 3, -8, -13],\n [14, -1, -10, 3, -4, -5, -4, 12, -13, 0],\n [-8, -6, -10, -8, 5, -13, -12, -13, 6, 7],\n [8, 4, -11, 9, 5, -8, 13, 7, -8, 2],\n [4, 7, 1, -12, 0, -1, 0, -1, -8, 10],\n [-12, 2, -5, 0, 14, -9, 13, 2, 2, -1],\n [9, 10, 3, 10, -10, 14, -7, -8, 8, -11],\n [3, -10, 1, -1, 12, 12, 4, -1, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5884065233", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[2, 4, -3, -11, 1, 10, -4, 7, -11, 2],\n [-7, -1, 12, -13, -4, -4, 9, 7, 9, -9],\n [6, 6, -1, -5, 11, 12, -7, -8, -7, 13],\n [-7, 8, -13, 12, 1, -6, -2, 8, -3, 12],\n [7, 10, 14, 2, 12, -13, -2, -14, 11, 13],\n [4, -4, -10, -14, 5, -2, -7, -9, 14, 2],\n [-3, -14, -12, -1, 11, -7, -4, 12, -1, -7],\n [14, -12, -8, 13, 4, -11, 10, 1, -2, 5],\n [4, -10, 8, -10, 5, 9, -11, -13, 11, -2],\n [1, 7, -13, 4, 2, -10, 10, 3, 13, 8]], determine the value at position (10, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10623255581", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[6, 3, -7, 12, 0, -2, -2, 1, 7, 5],\n [-2, 5, -13, -12, 0, 8, 4, -2, -10, 11],\n [7, -9, -1, -11, 7, 4, 8, -8, -11, -13],\n [12, -8, -12, 0, -14, -13, -5, 1, 10, 13],\n [0, 9, 0, -1, 7, -1, -9, -1, 2, 3],\n [5, 4, 2, 1, -7, -8, 5, 13, -3, -6],\n [12, -1, 5, -14, -5, 2, 2, 2, -11, 2],\n [3, 5, 8, -13, -7, -2, 8, 10, 7, 5],\n [7, 0, 5, 8, -6, -12, -12, -13, -14, -1],\n [2, -2, 4, 8, 0, 12, 10, -1, -13, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170987291745", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[2, 2, 0, 3, -1, -1, 8, 9, -4, -6],\n [2, -8, -1, -1, 4, 0, -5, 5, 0, 2],\n [0, -1, -6, 5, -5, 8, 4, 4, 0, -6],\n [3, -1, 5, -11, 8, 6, 6, 3, 6, -2],\n [-1, 4, -5, 8, -7, 10, -10, -1, -2, 0],\n [-1, 0, 8, 6, 10, 9, 6, -4, -4, 0],\n [8, -5, 4, 6, -10, 6, 5, 6, -3, 10],\n [9, 5, 4, 3, -1, -4, 6, -6, 8, -1],\n [-4, 0, 0, 6, -2, -4, -3, 8, 12, -2],\n [-6, 2, -6, -2, 0, 0, 10, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "673030784", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, -6, -2, -9, 0, 4, 6, 0, 3, -8],\n [11, -4, -7, -9, -7, -13, 4, 1, -8, -5],\n [-3, 2, -8, 7, -7, -8, -11, -12, 4, 0],\n [-11, 10, -6, -2, 3, 6, 1, -14, -11, 3],\n [-7, 5, 1, 6, -4, 5, 6, 6, 6, 12],\n [4, 8, 4, 3, 4, -4, -12, -7, 5, 4],\n [-5, 1, -10, 5, -6, -7, -4, 1, -8, 0],\n [9, 14, 6, 5, 8, 2, -9, 0, -7, -8],\n [-13, -2, 8, 14, -9, 14, -10, 5, -14, 14],\n [3, 0, 8, -5, -12, -10, 9, 14, -2, -7]], determine the value at position (10, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194437792", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 7) of the matrix A^7 where A is:\n[[7, 6, 14, -13, -6, 2, 12, 3, -2, -14],\n [-3, 5, 5, 6, -10, -7, 12, 0, 12, -12],\n [-9, 13, -2, -3, 4, 14, 3, 9, -14, 10],\n [12, -8, -3, -5, 14, -3, -4, -11, 4, -9],\n [10, -6, 5, -5, -10, 12, -2, -6, -13, 3],\n [6, -14, 9, 6, -3, -5, -13, 13, -6, -13],\n [8, 9, 7, -1, -4, 8, -4, 2, -11, -2],\n [-8, 1, -14, -2, -14, -4, -9, 5, -12, -3],\n [-10, -6, 11, 11, -3, 13, 12, -5, 4, -10],\n [11, -10, -6, 12, 13, 11, 12, 5, 2, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "604604369", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, -2, 6, 0, -4, 2, 6, -4, 4, 6],\n [-2, 5, 4, 2, -7, 6, 0, -6, -4, 4],\n [6, 4, 7, -2, -4, -2, -2, 2, 0, 6],\n [0, 2, -2, 8, -1, 0, 8, 0, -1, -2],\n [-4, -7, -4, -1, -12, -6, 8, -2, 12, 1],\n [2, 6, -2, 0, -6, 11, 3, -2, 8, 4],\n [6, 0, -2, 8, 8, 3, -7, 2, 0, -1],\n [-4, -6, 2, 0, -2, -2, 2, 6, 6, -2],\n [4, -4, 0, -1, 12, 8, 0, 6, 11, -2],\n [6, 4, 6, -2, 1, 4, -1, -2, -2, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5948361441", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[4, 4, 3, 2, 8, -4, -6, -6, 0, 6],\n [4, -9, 5, 3, 10, 2, -10, -5, -8, 0],\n [3, 5, 11, -4, -4, -14, 1, -8, -14, -2],\n [2, 3, -4, -7, 0, 0, 12, -6, -4, -4],\n [8, 10, -4, 0, -9, -6, -1, -2, -4, -1],\n [-4, 2, -14, 0, -6, -9, 4, 4, 4, 2],\n [-6, -10, 1, 12, -1, 4, -14, -11, -2, 3],\n [-6, -5, -8, -6, -2, 4, -11, 14, -2, 12],\n [0, -8, -14, -4, -4, 4, -2, -2, -6, -4],\n [6, 0, -2, -4, -1, 2, 3, 12, -4, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25139756970839", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-10, -8, -6, 6, 3, 6, -7, -3, 5, -13],\n [-5, 4, -6, 10, 9, -7, 9, 9, 9, -14],\n [-9, -3, 10, 9, 4, 12, 2, -13, -4, 3],\n [8, 13, 7, -4, 3, -7, 0, -6, 0, -8],\n [5, -2, -2, -14, 5, -11, 9, -11, -11, -2],\n [-13, 13, 11, 8, 0, -11, 12, -9, -12, -8],\n [-9, -12, -11, -5, 6, -6, -9, 14, 5, 12],\n [-4, -8, 3, -11, -10, -11, -11, 12, -2, 1],\n [10, -1, -4, 14, -13, 7, -1, 9, 9, 12],\n [-8, 11, -4, -11, -8, 14, 1, 11, -9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170346202", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-9, -10, 10, -4, 10, -4, 12, -2, 10, 2],\n [-10, 0, 2, 0, -4, 0, 5, 4, -4, -3],\n [10, 2, -5, -8, 4, -1, 7, 3, -7, 0],\n [-4, 0, -8, -10, 4, -6, 4, 4, -6, -3],\n [10, -4, 4, 4, 0, 1, -5, 0, 0, -12],\n [-4, 0, -1, -6, 1, 10, 8, 0, 2, 0],\n [12, 5, 7, 4, -5, 8, 1, -2, 10, 8],\n [-2, 4, 3, 4, 0, 0, -2, 2, 0, 4],\n [10, -4, -7, -6, 0, 2, 10, 0, -5, 8],\n [2, -3, 0, -3, -12, 0, 8, 4, 8, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1307886360489", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 5) of the 8th power of the matrix:\n[[-2, 0, 0, 0, 12, 2, -10, 3, 2, 9],\n [0, 8, 0, 0, 4, -2, 0, -6, 0, 1],\n [0, 0, 9, -3, 2, 0, 1, 1, 0, 4],\n [0, 0, -3, -10, 4, -4, 0, -3, 8, 1],\n [12, 4, 2, 4, -9, 12, -2, 0, 0, 2],\n [2, -2, 0, -4, 12, 6, 10, 0, 0, 10],\n [-10, 0, 1, 0, -2, 10, 1, -10, 0, 2],\n [3, -6, 1, -3, 0, 0, -10, 13, 1, 1],\n [2, 0, 0, 8, 0, 0, 0, 1, -12, 5],\n [9, 1, 4, 1, 2, 10, 2, 1, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7021381798", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[12, 12, -7, 0, 5, 1, 2, 5, -13, -6],\n [12, 3, 5, -8, -6, -1, -10, 8, 4, -3],\n [-7, 5, -6, -6, -2, 4, 7, -10, 0, -7],\n [0, -8, -6, -7, -5, 6, 4, -5, -6, 2],\n [5, -6, -2, -5, -9, 2, -11, -2, -5, 4],\n [1, -1, 4, 6, 2, -10, -7, 4, -2, 2],\n [2, -10, 7, 4, -11, -7, -11, 6, -4, -2],\n [5, 8, -10, -5, -2, 4, 6, 13, 0, -6],\n [-13, 4, 0, -6, -5, -2, -4, 0, -14, -2],\n [-6, -3, -7, 2, 4, 2, -2, -6, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18103752066514", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[8, 10, 0, 3, 1, -6, -4, -4, -6, 12],\n [10, 10, 0, 10, -5, -3, 7, 11, 0, 2],\n [0, 0, 11, 0, 0, 0, 9, -5, -9, 11],\n [3, 10, 0, 7, -8, 0, 8, 6, 0, 0],\n [1, -5, 0, -8, 5, 0, 6, -10, 6, 12],\n [-6, -3, 0, 0, 0, 3, 10, -11, 3, 10],\n [-4, 7, 9, 8, 6, 10, -6, 4, 4, 2],\n [-4, 11, -5, 6, -10, -11, 4, -5, 0, 6],\n [-6, 0, -9, 0, 6, 3, 4, 0, -5, 8],\n [12, 2, 11, 0, 12, 10, 2, 6, 8, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "668397227463", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-13, -2, 2, 2, -2, 2, 4, 3, 0, 10],\n [-2, 7, 0, -8, 2, 0, 9, -1, 6, -2],\n [2, 0, -4, -8, -4, 13, 6, 4, -8, -8],\n [2, -8, -8, 10, 0, 4, -2, -10, -10, 5],\n [-2, 2, -4, 0, -13, -10, 8, -8, 2, 6],\n [2, 0, 13, 4, -10, -13, 10, 0, 1, 1],\n [4, 9, 6, -2, 8, 10, 13, -4, 2, 0],\n [3, -1, 4, -10, -8, 0, -4, 1, -4, 6],\n [0, 6, -8, -10, 2, 1, 2, -4, 0, -4],\n [10, -2, -8, 5, 6, 1, 0, 6, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "940040154187", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-1, 2, 0, 1, 2, 4, 4, 0, 2, -6],\n [2, 14, -1, 2, 0, 13, 10, -1, 10, 0],\n [0, -1, -14, -9, -4, -8, 0, 4, -2, -12],\n [1, 2, -9, 3, 0, 7, 0, 6, 2, 3],\n [2, 0, -4, 0, -2, 2, 0, -8, -6, -8],\n [4, 13, -8, 7, 2, -3, 4, -2, 0, 2],\n [4, 10, 0, 0, 0, 4, 5, 10, 2, -14],\n [0, -1, 4, 6, -8, -2, 10, 6, 3, 6],\n [2, 10, -2, 2, -6, 0, 2, 3, 13, 1],\n [-6, 0, -12, 3, -8, 2, -14, 6, 1, 1]], determine the value at position (8, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-237470386", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[7, -10, -10, -3, -12, 1, -9, 0, 0, 14],\n [1, 5, -2, -3, -5, -1, -13, 14, -12, -6],\n [-4, -4, 10, 7, -5, 11, -1, -6, 5, 12],\n [6, -5, 7, 14, -6, 14, -10, -7, -4, -14],\n [6, -5, -14, 11, 7, -8, 13, -1, -10, 2],\n [7, 11, 6, -9, 1, -4, -5, 0, -8, 8],\n [-13, -3, 4, -3, 1, -9, -12, -13, 5, -10],\n [-4, 11, 10, -12, -12, 7, -10, 7, 8, -4],\n [-12, -2, 6, -7, 5, -5, -13, -11, 3, 4],\n [-11, 5, 11, -6, 1, 11, -9, 10, -11, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13289335006", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[12, -6, -8, -2, 3, 9, 4, 5, 1, -8],\n [-6, 6, 4, -6, 0, -2, -2, 2, -8, -6],\n [-8, 4, 0, 6, -2, -12, -5, -8, 4, -4],\n [-2, -6, 6, 5, 8, -3, 1, 1, -5, -7],\n [3, 0, -2, 8, -6, 3, 0, 2, -6, -10],\n [9, -2, -12, -3, 3, -11, 1, 2, -2, -8],\n [4, -2, -5, 1, 0, 1, -5, 8, 8, 4],\n [5, 2, -8, 1, 2, 2, 8, 11, -4, 2],\n [1, -8, 4, -5, -6, -2, 8, -4, 4, 6],\n [-8, -6, -4, -7, -10, -8, 4, 2, 6, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21313308786", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (8, 7) of the result:\nA =\n[[5, -9, 1, 5, 9, -12, -3, 4, 4, 9],\n [-11, -14, -13, -2, 11, 14, -2, -13, 4, 7],\n [9, 1, -3, -14, -6, 2, -5, 3, 4, -8],\n [10, 4, 9, 0, -6, -5, 8, 5, 5, -11],\n [-9, -11, -10, -6, -3, 8, -7, 6, -10, 14],\n [-4, 8, -4, -2, -1, 13, -7, 10, 3, 4],\n [-3, -3, 3, -5, -8, 13, 3, -3, -1, 0],\n [1, -13, 3, -3, 1, -2, 5, 2, 3, -12],\n [8, -5, -14, -9, -12, 4, -11, 14, 5, 8],\n [-12, -7, -7, 12, 14, -8, -13, 6, -9, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46940032215", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[1, -5, -11, -2, -5, 6, -1, -6, -4, 8],\n [3, -4, 2, -13, -12, -4, 3, 12, -12, 11],\n [0, -4, -4, 13, 13, 10, 5, 13, 10, -4],\n [4, 13, -14, 12, -10, -5, -5, -1, -13, -11],\n [-13, 3, -2, 4, -10, 5, -13, -4, 11, 3],\n [-9, 8, 13, -5, 7, 8, 2, 7, -4, 4],\n [2, 9, -11, 11, 9, 11, -1, 12, 5, -11],\n [13, -1, 11, -11, -9, -6, 6, -3, 14, 11],\n [-7, 9, -11, 12, 11, 10, 10, -10, -9, -10],\n [4, 12, -7, -6, 0, -11, 10, -6, -8, -7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9621331150583", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, 8, -6, -5, 6, -10, -12, 6, 9, 8],\n [8, 2, -1, -2, 0, -6, -6, 2, 8, -6],\n [-6, -1, 10, -4, 6, -2, 9, 2, -2, 2],\n [-5, -2, -4, 6, -2, 2, 6, 0, -8, -7],\n [6, 0, 6, -2, 5, 6, 12, -8, -1, 4],\n [-10, -6, -2, 2, 6, -14, -6, 2, -1, -2],\n [-12, -6, 9, 6, 12, -6, -3, -1, 4, 14],\n [6, 2, 2, 0, -8, 2, -1, 12, -4, -4],\n [9, 8, -2, -8, -1, -1, 4, -4, -10, -12],\n [8, -6, 2, -7, 4, -2, 14, -4, -12, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1043837385", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[1, 11, -5, -11, -14, 8, -7, -10, -13, 9],\n [2, -8, 2, 13, -9, 14, 7, 0, -10, 0],\n [3, 3, 10, 6, 6, 8, -9, -13, 12, 2],\n [6, -11, -3, 4, -13, 11, -13, -1, 0, 5],\n [-13, -11, 4, -6, -8, -2, 12, -3, -12, -2],\n [0, -1, 9, -6, -2, 8, 7, -11, 6, -7],\n [-12, -13, 4, 13, 8, -7, 2, -2, -8, -6],\n [-3, 14, -1, -1, 0, -12, 0, 4, 9, 5],\n [-1, -7, -10, 4, -11, -1, 1, 5, 9, -9],\n [8, 10, -9, -12, 0, 14, -12, -4, -12, 13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188584783919", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 4) of the 6th power of the matrix:\n[[-5, 3, -14, 1, 1, 12, -5, -14, -11, -12],\n [-10, -3, 10, -3, -2, 9, -3, 10, 1, -2],\n [-10, 9, -11, 6, 0, -3, 4, 6, 13, 4],\n [6, -4, 6, -9, -6, -14, -3, 11, -1, -9],\n [-14, 7, -13, 9, -4, -12, -5, -9, -9, 5],\n [6, -13, 11, 11, 9, -5, 8, 11, -9, 8],\n [13, 2, -1, -10, 8, 2, -13, -6, -3, 4],\n [7, -8, -6, 6, 1, 5, -4, -3, 0, 3],\n [4, 1, 0, -10, -4, 0, 14, 3, -2, -11],\n [2, -11, 1, 8, 0, -1, -3, -12, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-946623", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-9, -4, 6, -4, 4, -3, 2, 2, 9, 6],\n [-4, 9, 2, 7, 4, -6, 4, -3, 0, 4],\n [6, 2, 7, -4, 10, -10, 0, -6, 0, -2],\n [-4, 7, -4, 7, 10, 3, 6, -8, 4, 0],\n [4, 4, 10, 10, -6, 1, 8, 4, 2, -2],\n [-3, -6, -10, 3, 1, 0, 1, 8, -8, -4],\n [2, 4, 0, 6, 8, 1, -2, 0, -3, 0],\n [2, -3, -6, -8, 4, 8, 0, 14, 10, -6],\n [9, 0, 0, 4, 2, -8, -3, 10, 8, 0],\n [6, 4, -2, 0, -2, -4, 0, -6, 0, 14]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "635439665478", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[3, 11, 11, 8, -9, 13, -7, 8, 11, -2],\n [-7, 4, -9, 14, 8, 0, -5, 12, 2, -14],\n [-8, 14, 12, -2, -12, 4, 0, -10, -4, 7],\n [3, -12, -9, -12, -10, -6, 13, 4, 13, 12],\n [-2, 14, -9, -4, 6, 6, 12, -1, -9, -9],\n [2, -4, 0, -6, 6, 2, 9, -8, -8, 6],\n [-14, 10, 12, 10, -7, -10, 4, -7, 2, 4],\n [-3, 12, 8, 0, -11, 8, -3, 12, -2, -1],\n [-10, 7, 1, -8, 0, -2, 11, 1, -3, -8],\n [1, 8, 8, 12, -2, 14, 8, -12, 0, 13]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17937158", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-12, -8, 3, -1, 3, 4, -1, 5, -9, 14],\n [-7, 11, 11, -8, 5, 3, 3, 0, 5, 7],\n [4, 7, 6, 6, -13, -7, 6, -4, 3, 8],\n [-2, -6, -6, 2, -8, -6, 7, -14, -13, -11],\n [-1, -11, -13, -7, 3, 4, -1, 5, 10, -5],\n [2, -7, 13, -1, 6, 8, -7, -10, 1, -7],\n [-5, 12, -7, -6, 3, -12, 2, 5, 0, 6],\n [12, 2, -7, -13, 2, 3, 14, -10, -6, -6],\n [-13, -13, 4, 8, 12, -12, 2, -1, -1, -1],\n [-9, -12, -14, 1, 14, -11, 14, -14, 2, 13]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44614564192", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[3, 3, 2, -6, 12, 0, -1, 1, -1, 9],\n [3, -7, -8, -2, -4, 2, 1, 8, 4, -5],\n [2, -8, -3, -3, 3, 1, 4, 2, -6, 3],\n [-6, -2, -3, 4, 2, -4, 12, 5, 2, 3],\n [12, -4, 3, 2, 11, -2, -6, 4, -12, -7],\n [0, 2, 1, -4, -2, 0, -3, -6, -7, 5],\n [-1, 1, 4, 12, -6, -3, 1, -5, 4, 4],\n [1, 8, 2, 5, 4, -6, -5, -1, -5, 2],\n [-1, 4, -6, 2, -12, -7, 4, -5, -5, 6],\n [9, -5, 3, 3, -7, 5, 4, 2, 6, -11]], determine the value at position (5, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135028683644", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-13, 6, -1, 4, -7, -4, 0, 10, 8, 5],\n [6, 0, 10, -11, 8, 0, 6, -6, -4, 8],\n [-1, 10, -7, -2, -4, -10, 12, 0, 2, -10],\n [4, -11, -2, -6, -7, 2, 5, -8, 6, 0],\n [-7, 8, -4, -7, -14, 0, -6, 12, 11, 0],\n [-4, 0, -10, 2, 0, 6, -12, -5, -4, 0],\n [0, 6, 12, 5, -6, -12, 14, 10, 0, -12],\n [10, -6, 0, -8, 12, -5, 10, 13, 2, -10],\n [8, -4, 2, 6, 11, -4, 0, 2, -13, -4],\n [5, 8, -10, 0, 0, 0, -12, -10, -4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45596285502", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (9, 3) of the result:\nA =\n[[2, 12, 4, -10, 3, 3, 1, 4, -7, 0],\n [12, 3, 2, 4, 2, -7, 4, -2, 5, -6],\n [4, 2, 5, 12, 0, -2, -11, -3, 0, 0],\n [-10, 4, 12, -6, 2, 12, 0, 8, 10, -4],\n [3, 2, 0, 2, 1, -3, 12, -3, -3, 5],\n [3, -7, -2, 12, -3, -5, 4, -2, 6, 8],\n [1, 4, -11, 0, 12, 4, 0, -12, 10, 2],\n [4, -2, -3, 8, -3, -2, -12, 5, 11, -10],\n [-7, 5, 0, 10, -3, 6, 10, 11, 3, 4],\n [0, -6, 0, -4, 5, 8, 2, -10, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60906335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[7, 6, -3, 0, 4, 8, 4, -6, -11, 0],\n [6, 7, 4, 6, -2, -10, 8, -4, 2, -9],\n [-3, 4, 8, -12, -2, -6, 0, 4, 4, 4],\n [0, 6, -12, -8, -5, -1, 4, 0, 0, -4],\n [4, -2, -2, -5, 1, 5, -8, 4, -7, -3],\n [8, -10, -6, -1, 5, 0, -6, 6, 0, 4],\n [4, 8, 0, 4, -8, -6, 14, 6, -4, -2],\n [-6, -4, 4, 0, 4, 6, 6, 8, 8, 1],\n [-11, 2, 4, 0, -7, 0, -4, 8, 3, 10],\n [0, -9, 4, -4, -3, 4, -2, 1, 10, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "437644539799", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-8, -6, -2, 5, -1, 1, 8, -6, 0, -10],\n [3, 6, 5, -7, 0, 6, 10, -6, 4, 14],\n [11, 7, -9, -11, -4, 14, -5, -12, -14, -3],\n [8, 0, 0, 6, -1, 11, -8, 2, 9, 4],\n [-8, 13, -12, -12, 11, 10, 14, 3, 5, 7],\n [-1, -12, 13, 11, 11, -8, -8, -10, -12, 3],\n [0, 5, -1, 14, -11, 12, 9, -7, 14, 6],\n [-2, 7, -7, 0, 2, -10, 5, -11, -4, 3],\n [-5, 2, 0, -9, 8, 6, 1, 0, -7, -6],\n [-4, 12, -13, 12, -2, -11, 12, -6, -10, 4]], determine the value at position (5, 10).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2041293662", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 6) of the matrix A^7 where A is:\n[[7, -12, 6, -12, -9, 13, -5, -10, 10, -12],\n [7, 9, -8, 7, 3, 8, -7, -14, 10, -11],\n [9, 11, -8, -1, -2, -5, 8, 3, -14, -11],\n [13, 1, 1, 3, -7, -5, 1, 8, 9, -4],\n [-9, -14, 14, 14, -3, 10, -9, 13, -2, 11],\n [2, -14, -7, 7, -7, 9, -4, -1, 9, -5],\n [0, -8, -8, -5, -11, 10, 13, 3, 12, 10],\n [-5, 4, -1, -2, 0, 1, -13, 14, -11, 6],\n [3, 14, 2, -5, 12, 6, -6, 0, 13, -3],\n [6, 13, 12, 11, -6, -1, -2, 13, 11, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246667573", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[4, -8, 6, 6, 7, -2, 5, 0, -6, -2],\n [-8, 12, -1, 2, -2, 6, 8, -13, -6, -4],\n [6, -1, 2, -4, -10, -1, 8, 6, -12, -2],\n [6, 2, -4, 6, 6, 3, 4, 2, 6, 2],\n [7, -2, -10, 6, 11, 9, -11, -5, 2, -8],\n [-2, 6, -1, 3, 9, -8, 8, 4, 2, -2],\n [5, 8, 8, 4, -11, 8, -8, 8, -9, 7],\n [0, -13, 6, 2, -5, 4, 8, 8, -6, 0],\n [-6, -6, -12, 6, 2, 2, -9, -6, -4, 0],\n [-2, -4, -2, 2, -8, -2, 7, 0, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490313979984", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-3, 11, 11, 14, 13, -12, 5, -5, 5, 3],\n [6, 6, 6, 12, 12, -5, -14, -9, -4, -13],\n [-8, 5, 6, 6, 6, 3, 6, 4, -11, -2],\n [3, 5, 14, 10, 9, -2, 12, 13, 4, 2],\n [-14, -9, 4, 5, -14, -7, 2, 6, 7, 0],\n [3, -8, 1, -8, 2, -11, -3, -2, -11, 6],\n [-14, -14, -8, -6, -14, 1, 3, 7, 0, -9],\n [-13, -6, -11, -2, 8, 7, -4, -2, -4, 4],\n [-7, -8, 10, 1, -12, 2, 3, 13, 12, 0],\n [13, 2, -4, -10, 1, 0, -5, -1, -13, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14137230528821", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[4, -5, 4, -2, -7, 6, 5, 4, 6, 8],\n [-5, 8, -2, -8, -2, 2, 1, 1, 0, -2],\n [4, -2, -14, 2, 0, 5, -8, -6, 6, 0],\n [-2, -8, 2, 4, 2, 13, -4, -3, -1, -5],\n [-7, -2, 0, 2, 14, -11, -4, -6, 9, -4],\n [6, 2, 5, 13, -11, -9, 13, 1, 2, 12],\n [5, 1, -8, -4, -4, 13, 8, -8, 6, -5],\n [4, 1, -6, -3, -6, 1, -8, 10, -2, -2],\n [6, 0, 6, -1, 9, 2, 6, -2, 1, 4],\n [8, -2, 0, -5, -4, 12, -5, -2, 4, -8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15339922661", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (3, 8) of the result:\nA =\n[[7, 2, 0, 8, 4, 2, 8, -6, -10, -10],\n [2, -8, -6, -5, -7, 4, -4, 0, -2, -4],\n [0, -6, 2, -10, 2, 7, 10, -4, -4, -4],\n [8, -5, -10, -9, 4, -10, 4, 6, 0, 2],\n [4, -7, 2, 4, 9, 2, 6, 3, -8, -5],\n [2, 4, 7, -10, 2, -13, -8, -8, 6, 10],\n [8, -4, 10, 4, 6, -8, 6, 10, 5, -2],\n [-6, 0, -4, 6, 3, -8, 10, 8, 4, 10],\n [-10, -2, -4, 0, -8, 6, 5, 4, -6, -8],\n [-10, -4, -4, 2, -5, 10, -2, 10, -8, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4765894018", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[5, -11, -14, 7, -5, -13, 12, 6, 9, 0],\n [-12, 10, 8, -6, 2, 6, 13, -2, -12, -11],\n [-11, -4, 13, -8, 11, -4, 9, -4, -5, -10],\n [-2, 14, -3, -5, -8, 4, 4, 4, -3, 5],\n [7, 0, -10, 9, -1, -3, 14, 6, -4, 13],\n [-10, 1, 11, 3, -3, 12, 12, -10, 1, -3],\n [8, -13, 14, -9, 8, 6, 10, -11, -2, -5],\n [2, -1, 9, 0, -7, 8, 9, 3, -12, 10],\n [2, 9, 9, -8, -2, 12, 1, -10, -11, 11],\n [-5, -2, -5, -1, 11, 7, -3, 12, -14, 14]], determine the value at position (6, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48995367920", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[6, 5, 5, -8, -6, -7, 12, -2, -1, -3],\n [-7, 6, 7, 3, 1, 14, -4, 1, -1, -12],\n [6, -13, -12, -11, 7, -10, -5, 5, 14, -13],\n [-3, 12, -10, -10, 12, 8, -14, -11, 12, 6],\n [9, -3, -3, 1, 9, 2, 6, -5, 2, 2],\n [3, -13, 10, -11, 4, -4, 2, -3, -13, -9],\n [-6, -10, 5, 14, 6, -6, 13, 14, 8, -7],\n [5, 12, -7, 7, 6, 14, 13, 8, -9, -12],\n [-10, -6, -8, 13, -11, -8, -10, -4, 14, 0],\n [-13, -2, 7, 1, -8, -7, -9, 9, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8312383051664", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[7, 10, 13, 7, 5, -8, -12, -10, -14, 0],\n [11, -12, -7, 10, -6, 0, -5, -13, 5, -10],\n [4, -2, -4, -14, 7, 0, 11, 3, 1, -6],\n [-14, -4, -6, 8, -4, -2, 11, -13, -1, -9],\n [-7, 3, 1, 6, 14, -3, -4, -9, -12, -1],\n [13, -13, -4, 7, -12, 3, -14, 9, -14, -3],\n [0, -10, 12, -9, 1, 12, -3, -3, -12, 8],\n [-13, -8, -13, 6, -8, -4, -4, -1, -12, -1],\n [-4, -11, 2, 1, -12, 10, -5, 6, 0, -7],\n [3, -12, -8, -5, 5, -6, -1, 8, -1, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1191875099", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 2) of the matrix A^7 where A is:\n[[13, -13, -12, 8, 2, -3, 1, 10, -2, -3],\n [-13, -13, -4, -7, -1, 6, 4, -4, 4, -2],\n [-12, -4, 9, -2, -5, -14, -5, 3, 2, 10],\n [8, -7, -2, -6, -10, -2, -2, 6, 6, -5],\n [2, -1, -5, -10, 7, 4, -2, -2, 8, -2],\n [-3, 6, -14, -2, 4, 13, -2, -12, 4, -4],\n [1, 4, -5, -2, -2, -2, -9, 7, -4, 0],\n [10, -4, 3, 6, -2, -12, 7, -4, -3, 4],\n [-2, 4, 2, 6, 8, 4, -4, -3, -7, -9],\n [-3, -2, 10, -5, -2, -4, 0, 4, -9, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-835211414", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (8, 9) of the result:\nA =\n[[5, 1, -2, -8, -6, -5, 9, 6, 5, 2],\n [1, 9, -8, 1, -9, -8, 2, 3, 8, 5],\n [-2, -8, 6, -5, -2, -10, 8, -3, -10, 0],\n [-8, 1, -5, 6, -2, -2, -14, 4, -8, 8],\n [-6, -9, -2, -2, 12, -8, -8, 2, 13, -1],\n [-5, -8, -10, -2, -8, -10, -8, 0, -2, -6],\n [9, 2, 8, -14, -8, -8, 10, 2, -6, -8],\n [6, 3, -3, 4, 2, 0, 2, -8, -4, -10],\n [5, 8, -10, -8, 13, -2, -6, -4, 0, 1],\n [2, 5, 0, 8, -1, -6, -8, -10, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1861897982", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (5, 4) of the result:\nA =\n[[-1, 14, -11, -2, 1, 1, 7, -10, 5, 10],\n [-9, -9, 3, -9, -8, 9, 9, 1, -6, 11],\n [12, -2, -3, 4, 11, 8, 8, -14, -7, -11],\n [6, 7, 4, 6, 11, -10, 2, -12, 4, -14],\n [14, 8, -14, 8, 5, -6, 8, -10, -8, 10],\n [11, -9, 2, 7, 2, -2, -3, -11, -7, -10],\n [-10, -2, 11, -4, -7, -7, -14, -2, 14, -10],\n [13, 6, -7, 2, 8, 8, -2, -6, -13, 4],\n [5, 2, -8, 11, -12, 4, 4, 9, -6, -5],\n [14, -1, 3, 11, 0, 11, -14, 10, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45503944", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 8) of the 6th power of the matrix:\n[[10, -4, 4, 0, 5, -4, 2, 2, -10, 12],\n [-4, -7, 4, 6, 2, -5, 10, 8, -5, 0],\n [4, 4, 10, 0, -5, 12, -2, 0, -3, -8],\n [0, 6, 0, -7, -11, -8, -4, -8, 2, 2],\n [5, 2, -5, -11, 14, -2, -10, -13, -4, -4],\n [-4, -5, 12, -8, -2, -14, 0, 7, -8, -9],\n [2, 10, -2, -4, -10, 0, 8, 1, 6, -6],\n [2, 8, 0, -8, -13, 7, 1, 5, 4, 3],\n [-10, -5, -3, 2, -4, -8, 6, 4, 7, 3],\n [12, 0, -8, 2, -4, -9, -6, 3, 3, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158163977", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-8, -2, 2, -4, 6, 0, -3, -4, -4, 3],\n [-2, -11, 6, 1, 5, -6, 2, -2, -9, 2],\n [2, 6, -1, -12, 6, -8, -5, 12, 10, 7],\n [-4, 1, -12, 9, 0, 6, -3, 4, -2, -5],\n [6, 5, 6, 0, 9, 8, 4, -5, 4, 8],\n [0, -6, -8, 6, 8, -6, -6, -1, 0, 6],\n [-3, 2, -5, -3, 4, -6, -10, 0, -6, -4],\n [-4, -2, 12, 4, -5, -1, 0, 3, 7, 0],\n [-4, -9, 10, -2, 4, 0, -6, 7, 8, 0],\n [3, 2, 7, -5, 8, 6, -4, 0, 0, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1592653902", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-8, 4, 13, -14, 9, -8, -13, -8, 4, -2],\n [10, 9, -10, 8, 4, -14, -14, 12, 3, 9],\n [-14, 12, 13, -10, -6, -3, -6, 3, 8, -4],\n [-14, 4, 7, 10, -5, -13, -8, 5, -13, 4],\n [-9, -5, -6, -7, 11, -4, -6, 5, 13, 5],\n [-6, -7, 13, 0, -13, 9, -14, -6, -6, -2],\n [-7, 12, 6, -10, 14, -12, 6, -11, 2, 1],\n [1, 10, 11, 5, -12, -9, -14, 6, 1, 0],\n [-8, -13, -5, 10, 13, 0, -9, -13, 9, 9],\n [2, 13, -14, -14, 13, -11, 5, 1, -7, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470030569975", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[11, 0, -8, 3, 5, -2, 4, 1, -6, 8],\n [0, 0, 0, -2, -6, -8, -2, 6, 12, -4],\n [-8, 0, -14, 1, -4, 2, 2, -2, 6, -3],\n [3, -2, 1, 4, -4, -2, 1, 7, -7, -4],\n [5, -6, -4, -4, 3, 8, -2, 5, -2, -8],\n [-2, -8, 2, -2, 8, 14, -2, 3, -1, 0],\n [4, -2, 2, 1, -2, -2, -5, -4, 6, -12],\n [1, 6, -2, 7, 5, 3, -4, 6, 1, 7],\n [-6, 12, 6, -7, -2, -1, 6, 1, -7, -4],\n [8, -4, -3, -4, -8, 0, -12, 7, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "593463063", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[1, -6, 11, 13, -14, 0, -3, -10, 8, 9],\n [3, 5, -13, -11, 0, -9, 7, -3, 14, 3],\n [12, 5, -11, -14, 0, 3, -1, -12, 14, 0],\n [12, -10, 12, 9, 7, -12, 7, -8, -9, 11],\n [7, -14, 4, -8, -11, -3, 5, 8, 10, 12],\n [14, 14, 3, -6, 4, 7, -11, -14, -6, 12],\n [0, 7, -7, 0, 0, 3, -8, 7, 3, 1],\n [-13, -11, 5, 1, -12, 9, 8, -13, -12, 11],\n [10, 14, -10, -13, 4, 9, 5, -13, -13, 7],\n [9, 8, 5, 3, 10, 5, 10, 6, -1, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3597204292", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 8) of the 8th power of the matrix:\n[[0, -1, 0, -2, -4, -2, 0, -6, -8, 0],\n [-1, 8, -5, 0, 9, 0, -6, 6, 4, 8],\n [0, -5, 10, 9, 9, -7, 1, 6, -1, 5],\n [-2, 0, 9, 8, -1, -11, -8, -2, 12, 7],\n [-4, 9, 9, -1, -11, -6, 4, 2, 3, 6],\n [-2, 0, -7, -11, -6, -6, -4, 1, 10, 0],\n [0, -6, 1, -8, 4, -4, -2, 6, 5, 8],\n [-6, 6, 6, -2, 2, 1, 6, -9, 10, -2],\n [-8, 4, -1, 12, 3, 10, 5, 10, -7, 4],\n [0, 8, 5, 7, 6, 0, 8, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130521659209", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 8) of the matrix A^7 where A is:\n[[-10, -6, 14, -4, 12, 4, -13, -9, 14, 8],\n [6, -14, -12, -12, 13, -1, 5, 11, 7, -10],\n [2, 0, -9, -1, -1, 10, 12, 2, -7, -7],\n [4, 14, -6, -4, -2, -2, 12, 9, 4, 11],\n [6, 4, -10, 1, -6, 13, 5, 7, -12, 4],\n [-10, -7, -1, 9, -12, 9, -2, -4, 14, -7],\n [4, -5, 14, 11, 3, 11, 3, 10, -8, 1],\n [-9, 1, 1, 8, 9, 13, -14, 9, 4, -12],\n [-9, -11, -11, -11, -5, -6, -7, 4, 2, 2],\n [-14, 5, -1, 7, 5, 12, -4, -12, 9, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1326868647", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[7, 10, 13, -5, 2, 14, -7, 7, -14, 5],\n [6, -8, 9, -6, 13, -3, 7, 11, -6, 5],\n [9, -12, -11, -5, -11, 7, -6, 7, -14, -10],\n [-6, -10, -9, 4, -7, -5, -4, -2, 5, -11],\n [-4, -3, -10, -5, 10, 14, 9, -8, 6, -6],\n [-6, -5, -5, -13, -11, -7, 14, -1, 2, -2],\n [6, 9, 3, 3, -2, -7, 11, -3, 10, 8],\n [9, 6, -14, 5, 3, -12, -3, 4, 10, -2],\n [-5, 0, 5, -13, 4, -12, -1, -8, -7, 14],\n [-4, 14, 7, 5, -9, 14, -4, 2, 14, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95135944940", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[9, 2, 6, -13, -9, 10, -10, -11, -13, -3],\n [-12, -9, 9, -1, -7, 6, 6, 11, -1, 14],\n [-12, 1, 0, -8, 0, -2, -9, 0, 2, -11],\n [7, 12, 7, 12, -1, 0, 13, -3, 4, 7],\n [13, -5, -9, 13, 10, -6, -13, -11, -6, 0],\n [-2, 5, -7, 11, 13, 4, 4, 10, 1, -4],\n [-5, -7, -14, -5, 3, -12, -4, 3, -12, -7],\n [12, 12, 13, -1, -9, 0, -1, -8, -5, 0],\n [14, -5, 7, 2, 12, 4, 14, 2, -3, 0],\n [11, -3, 10, 14, -6, -10, -11, -3, 1, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90901154404", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[10, -2, 10, -2, 3, 2, 4, 8, 0, 0],\n [-2, -4, 6, -10, 0, -3, -7, -8, -5, -3],\n [10, 6, -13, -4, 1, 6, 0, 2, -6, 2],\n [-2, -10, -4, -1, 6, -13, 12, -4, 2, 3],\n [3, 0, 1, 6, -8, 0, -9, -4, -6, 3],\n [2, -3, 6, -13, 0, -10, -12, 1, -1, 10],\n [4, -7, 0, 12, -9, -12, -7, -4, 3, -4],\n [8, -8, 2, -4, -4, 1, -4, 9, 3, 0],\n [0, -5, -6, 2, -6, -1, 3, 3, 12, -2],\n [0, -3, 2, 3, 3, 10, -4, 0, -2, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5184100496765", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-10, 8, 6, -2, 0, 0, 7, 7, -2, 0],\n [8, -11, 4, -1, -4, 6, 7, -3, 6, 6],\n [6, 4, 13, -14, -10, 4, -4, -10, 0, 2],\n [-2, -1, -14, -2, 8, 7, -4, -6, 2, 6],\n [0, -4, -10, 8, 10, -3, -7, 5, 3, 5],\n [0, 6, 4, 7, -3, 12, 4, 2, -4, 10],\n [7, 7, -4, -4, -7, 4, 3, 4, -4, 2],\n [7, -3, -10, -6, 5, 2, 4, 0, 2, 4],\n [-2, 6, 0, 2, 3, -4, -4, 2, 5, -6],\n [0, 6, 2, 6, 5, 10, 2, 4, -6, -11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11850719581", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[11, 8, -3, -2, 4, 7, -2, -3, 5, -12],\n [13, -12, -1, 3, 12, 4, 14, 13, -5, 2],\n [0, 4, -6, -11, 0, 4, 1, -7, 2, 6],\n [-14, -8, 6, 3, -3, 1, -14, 12, 0, -8],\n [13, 2, -12, -4, -9, -9, 0, -8, -4, 12],\n [2, 8, 3, 7, 14, 9, 14, 6, 11, 4],\n [12, -7, 9, 5, -7, 6, 14, -4, 6, -12],\n [8, 12, -1, 12, -6, 10, -14, -14, 11, 13],\n [-3, -4, 6, -14, 5, -3, 2, 0, -13, 3],\n [1, -11, -7, -13, -1, 10, 0, 13, -6, -13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53624162086", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -1, 1, -2, 2, 0, 4, 4, 8],\n [3, 3, -3, 6, -7, -2, 2, 0, 4, 6],\n [-1, -3, 13, -6, 5, 3, -7, 7, 0, 4],\n [1, 6, -6, -5, 10, -6, -2, -6, -4, 11],\n [-2, -7, 5, 10, -7, 0, 10, 8, 6, -6],\n [2, -2, 3, -6, 0, 11, -6, 6, 6, 6],\n [0, 2, -7, -2, 10, -6, -2, 6, -1, -2],\n [4, 0, 7, -6, 8, 6, 6, 9, 9, -2],\n [4, 4, 0, -4, 6, 6, -1, 9, 3, 2],\n [8, 6, 4, 11, -6, 6, -2, -2, 2, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7875440636017", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, 5, 4, 6, -1, 9, 12, 0, -5, 2],\n [5, -6, -4, 3, -4, 0, -2, -6, 2, 4],\n [4, -4, -9, 0, 0, -2, -1, -5, 6, -10],\n [6, 3, 0, 2, -2, 11, 9, -4, -8, -2],\n [-1, -4, 0, -2, -10, -2, 6, -7, -2, 4],\n [9, 0, -2, 11, -2, 0, 0, -5, 0, 10],\n [12, -2, -1, 9, 6, 0, -9, 6, -14, 6],\n [0, -6, -5, -4, -7, -5, 6, 8, 8, 6],\n [-5, 2, 6, -8, -2, 0, -14, 8, 10, -6],\n [2, 4, -10, -2, 4, 10, 6, 6, -6, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37536404565", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[5, -10, -1, 2, 6, -3, -2, -10, -3, 7],\n [-10, -8, 4, 4, -10, 5, -4, -2, 7, 1],\n [-1, 4, 1, -12, -2, 6, 2, -6, -6, -6],\n [2, 4, -12, -11, 2, -4, 0, -2, 2, -1],\n [6, -10, -2, 2, 5, -2, 0, -4, -6, -1],\n [-3, 5, 6, -4, -2, 12, -8, 4, 0, -1],\n [-2, -4, 2, 0, 0, -8, -9, -2, 0, 4],\n [-10, -2, -6, -2, -4, 4, -2, -14, -12, 0],\n [-3, 7, -6, 2, -6, 0, 0, -12, 0, 11],\n [7, 1, -6, -1, -1, -1, 4, 0, 11, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68019194309", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[7, 7, 11, 4, -3, -3, 0, 13, -8, 12],\n [-11, 6, -6, 7, 1, 11, -2, -11, 9, -6],\n [11, 6, 3, 0, 0, -9, -4, 13, -7, 14],\n [6, 2, 9, 10, 2, 9, 11, 13, 3, -11],\n [14, 0, -13, -13, -5, -12, -7, 5, -8, -3],\n [11, 4, 11, 13, 0, -1, 1, 14, 12, -1],\n [-12, 3, 14, 13, 7, -9, 2, 8, 13, -1],\n [-1, 5, -2, 12, 13, -12, -2, 14, 9, -13],\n [-6, -2, -7, 1, 9, 14, -12, -2, -11, 3],\n [-13, 5, 7, 6, 0, 2, 14, -5, -14, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118406401183", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-12, 4, -8, -2, -2, 2, -14, -1, 14, 11],\n [-12, -1, 9, -14, 1, -5, -2, -11, -6, -1],\n [-11, -5, -7, 8, -12, 8, -8, -5, -12, -13],\n [0, -6, 0, 2, -8, 5, 3, 0, 3, 9],\n [8, -3, 8, 6, 11, -7, -13, -13, -10, -14],\n [7, -11, -9, 8, -2, 4, -4, -2, -7, -8],\n [-2, -14, -9, -8, 1, 12, 0, 5, -13, 11],\n [10, 8, 1, 2, 9, 0, -12, -11, -3, -10],\n [2, -9, -5, 7, 3, 12, -5, -9, 9, -9],\n [5, 0, -11, 10, 1, 7, 9, -7, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "340592663077", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[11, 0, 8, -6, 4, 4, 8, -6, 10, -6],\n [0, 3, 8, 2, 2, -1, 7, 7, 3, 8],\n [8, 8, -10, -9, 3, 0, -8, -10, 2, -2],\n [-6, 2, -9, 2, -10, 6, 0, 0, -6, 4],\n [4, 2, 3, -10, 13, -6, -6, -4, -2, -6],\n [4, -1, 0, 6, -6, 14, -10, -2, 8, 2],\n [8, 7, -8, 0, -6, -10, -10, 1, 10, 0],\n [-6, 7, -10, 0, -4, -2, 1, -8, 8, 8],\n [10, 3, 2, -6, -2, 8, 10, 8, 10, 0],\n [-6, 8, -2, 4, -6, 2, 0, 8, 0, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7318372869", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[4, -9, -13, 0, 2, 1, 13, 6, -7, -5],\n [-5, 3, -5, -6, 13, 9, 4, -14, -11, 9],\n [-12, -5, -3, 3, 8, 5, -9, 6, -13, -5],\n [-13, -6, 12, -5, -13, -7, 9, 2, 2, 14],\n [-11, 3, -3, 2, -6, 14, 4, -1, -1, 2],\n [-13, -7, -10, 12, -8, 7, 14, 1, 1, 2],\n [7, 12, -8, 5, -7, -7, 8, -4, 0, 3],\n [-9, 7, -3, 0, 13, 8, -9, 3, 9, 5],\n [-6, -7, -1, 4, 4, -7, -13, 10, -11, -9],\n [-12, -12, 4, -4, 14, -5, -3, -1, 13, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6568137126", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[9, -8, 2, 4, 11, -6, 11, -8, 2, 6],\n [-8, 13, -6, 9, -5, 4, 4, 2, 7, 3],\n [2, -6, 5, -8, 4, 2, -4, 8, -8, 2],\n [4, 9, -8, 7, -10, -1, 6, 3, -9, 2],\n [11, -5, 4, -10, 14, 2, 0, 7, 8, 10],\n [-6, 4, 2, -1, 2, 10, -1, -4, 8, 6],\n [11, 4, -4, 6, 0, -1, -11, -4, 6, 5],\n [-8, 2, 8, 3, 7, -4, -4, -11, -6, 11],\n [2, 7, -8, -9, 8, 8, 6, -6, 1, -5],\n [6, 3, 2, 2, 10, 6, 5, 11, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2506164303", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^8 where A is:\n[[-12, -4, 0, 4, -9, -7, -2, -2, 0, -2],\n [-4, -2, -5, -1, -4, 4, 2, -14, 0, 4],\n [0, -5, 9, -4, 9, 3, 2, -2, -6, -1],\n [4, -1, -4, -7, -10, 0, -6, -7, 10, -4],\n [-9, -4, 9, -10, 2, 3, -4, 0, 6, -10],\n [-7, 4, 3, 0, 3, 2, 6, 10, 8, -4],\n [-2, 2, 2, -6, -4, 6, 11, 2, -6, 10],\n [-2, -14, -2, -7, 0, 10, 2, 1, -11, -1],\n [0, 0, -6, 10, 6, 8, -6, -11, -6, -3],\n [-2, 4, -1, -4, -10, -4, 10, -1, -3, 14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63231084006", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[12, -4, -6, -9, 8, -2, -8, 2, 1, -3],\n [-4, 12, 3, 4, 1, -4, -8, 12, -4, -13],\n [-6, 3, -8, -3, -12, -6, -8, -6, 8, 2],\n [-9, 4, -3, -7, 0, -4, -10, 4, -6, 0],\n [8, 1, -12, 0, -14, 8, 2, 2, 0, 0],\n [-2, -4, -6, -4, 8, -14, 2, 5, 12, 4],\n [-8, -8, -8, -10, 2, 2, -10, -4, 6, 0],\n [2, 12, -6, 4, 2, 5, -4, 0, 2, 2],\n [1, -4, 8, -6, 0, 12, 6, 2, -5, -4],\n [-3, -13, 2, 0, 0, 4, 0, 2, -4, 10]], determine the value at position (6, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3589955952", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[0, -2, -7, 6, 6, 7, -1, -14, -2, 12],\n [-7, 3, 7, -6, -2, -12, 3, -5, -10, 12],\n [10, -9, -7, 9, -8, 6, 3, -1, 0, -5],\n [11, 6, -3, -8, 13, 13, -8, -4, -2, 0],\n [3, -8, -9, 8, -4, -7, 5, -14, -7, -7],\n [4, -12, -10, -12, 0, -1, 6, 0, 9, 2],\n [3, -13, -3, 1, -11, 10, -13, 13, -1, -4],\n [-2, 13, 10, -8, -5, 9, -14, 14, 6, 10],\n [13, -11, 3, -9, -13, -12, -1, -7, 1, 4],\n [3, -9, -1, -12, 1, -14, -3, -1, 4, 7]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-424104413", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -8, -10, -7, -3, 4, -6, 5, -9, 2],\n [-8, 10, 6, -8, 2, -2, -4, 2, 1, -10],\n [-10, 6, 8, 3, -4, 12, -8, -8, 1, 8],\n [-7, -8, 3, 13, 6, 2, -6, 0, 0, -5],\n [-3, 2, -4, 6, 6, -2, 0, 0, -6, -10],\n [4, -2, 12, 2, -2, 1, 4, 2, -2, 2],\n [-6, -4, -8, -6, 0, 4, 11, 1, 6, 0],\n [5, 2, -8, 0, 0, 2, 1, -5, -1, 1],\n [-9, 1, 1, 0, -6, -2, 6, -1, 3, 11],\n [2, -10, 8, -5, -10, 2, 0, 1, 11, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5375224280", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[5, -10, -4, 7, -6, 6, -4, -6, -10, 8],\n [-10, 2, 13, 1, -11, 6, -2, -10, 3, -3],\n [-4, 13, -2, 6, 11, 8, -2, 0, 3, 2],\n [7, 1, 6, 6, 8, -4, 4, 6, -6, 4],\n [-6, -11, 11, 8, -9, -2, -6, 5, 6, 6],\n [6, 6, 8, -4, -2, 8, 7, 8, 2, 2],\n [-4, -2, -2, 4, -6, 7, 5, -2, 2, -2],\n [-6, -10, 0, 6, 5, 8, -2, -14, 1, -12],\n [-10, 3, 3, -6, 6, 2, 2, 1, -12, -7],\n [8, -3, 2, 4, 6, 2, -2, -12, -7, 14]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3141688065207", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[12, -2, 8, 14, -8, -10, -6, -3, 0, -4],\n [-2, 4, -6, -2, -4, 8, -12, -9, -6, -1],\n [8, -6, 9, -8, 3, 10, 5, 1, -2, 0],\n [14, -2, -8, 5, 2, 6, 6, 12, 0, 4],\n [-8, -4, 3, 2, -5, -9, 4, 12, -2, -4],\n [-10, 8, 10, 6, -9, 1, -2, -5, -10, 8],\n [-6, -12, 5, 6, 4, -2, 9, -8, 9, 14],\n [-3, -9, 1, 12, 12, -5, -8, 14, 6, 0],\n [0, -6, -2, 0, -2, -10, 9, 6, -13, -6],\n [-4, -1, 0, 4, -4, 8, 14, 0, -6, -5]], determine the value at position (5, 10).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37079534560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (4, 8) of the result:\nA =\n[[2, 4, 0, 4, 6, -8, 4, 4, 4, 5],\n [4, 1, 2, 1, 0, -2, -4, 9, -8, -10],\n [0, 2, -5, -6, 4, 4, -5, 6, 10, 4],\n [4, 1, -6, 6, 3, -10, 0, 2, -10, -8],\n [6, 0, 4, 3, -1, 4, 11, 0, 0, -2],\n [-8, -2, 4, -10, 4, 2, -2, 8, -9, 0],\n [4, -4, -5, 0, 11, -2, 9, 8, -4, -4],\n [4, 9, 6, 2, 0, 8, 8, 0, 0, 4],\n [4, -8, 10, -10, 0, -9, -4, 0, 0, -1],\n [5, -10, 4, -8, -2, 0, -4, 4, -1, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77199671", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[0, 6, 5, -8, 5, -9, -4, 10, -2, 0],\n [6, -2, 3, -4, 13, -6, -4, 12, 8, 10],\n [5, 3, 3, 5, 0, 3, -6, -3, 1, -12],\n [-8, -4, 5, -10, 2, 0, -4, 1, 6, 8],\n [5, 13, 0, 2, -12, 6, -4, -9, 6, 6],\n [-9, -6, 3, 0, 6, -13, -4, -6, -3, 4],\n [-4, -4, -6, -4, -4, -4, -9, -4, 0, -8],\n [10, 12, -3, 1, -9, -6, -4, 4, -4, -6],\n [-2, 8, 1, 6, 6, -3, 0, -4, 11, 1],\n [0, 10, -12, 8, 6, 4, -8, -6, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1515208048027", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-5, -4, -6, -6, 0, 0, 5, -4, -3, -4],\n [-4, -11, 2, 2, -1, 1, -4, 10, -6, 2],\n [-6, 2, -7, 6, -3, 6, -3, -6, -8, -1],\n [-6, 2, 6, 3, 8, -7, 0, -6, 0, 6],\n [0, -1, -3, 8, -14, 7, 8, -2, -6, 5],\n [0, 1, 6, -7, 7, 1, -6, 12, 0, -4],\n [5, -4, -3, 0, 8, -6, -13, -6, -11, 2],\n [-4, 10, -6, -6, -2, 12, -6, 14, -4, 2],\n [-3, -6, -8, 0, -6, 0, -11, -4, 1, 1],\n [-4, 2, -1, 6, 5, -4, 2, 2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4810839565686", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[0, -11, -6, -11, 14, 1, 13, 6, 0, 9],\n [-13, 13, 12, -1, -12, 7, 13, 8, -11, -14],\n [8, 13, -6, 2, -1, 2, -14, -5, 8, 1],\n [12, 10, 4, 9, 10, -12, 13, -3, -12, 0],\n [2, 3, -8, 4, -8, -10, 11, -7, 6, 1],\n [1, 4, 10, 0, -8, -10, 8, -4, -5, 10],\n [6, 8, 12, -6, -14, 5, -14, -7, -12, -13],\n [-11, 12, 4, -4, -10, 14, 9, -5, 9, 12],\n [8, -7, -2, 14, -10, 11, 11, 12, -3, 12],\n [-2, 7, -7, 0, -2, -14, 7, -9, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-976201388", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, 4, -8, -1, 4, -7, -2, 4, -6, 2],\n [4, -3, -4, 12, 4, 1, -8, -8, 4, 4],\n [-8, -4, -9, 2, 3, 10, -7, -4, 9, 8],\n [-1, 12, 2, 1, -4, 0, 2, -12, -8, -1],\n [4, 4, 3, -4, 0, 4, -8, 2, 0, 0],\n [-7, 1, 10, 0, 4, 11, 2, -12, -6, 12],\n [-2, -8, -7, 2, -8, 2, 7, 0, 4, -2],\n [4, -8, -4, -12, 2, -12, 0, 6, 4, 2],\n [-6, 4, 9, -8, 0, -6, 4, 4, 14, 3],\n [2, 4, 8, -1, 0, 12, -2, 2, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48580036002", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[1, 10, -8, -13, -9, -6, -8, -13, 4, -7],\n [-4, 10, -11, 1, 10, 3, -2, 12, -10, 12],\n [-13, -4, -14, -2, -10, 3, -1, -2, -8, -7],\n [3, -8, 5, 2, 1, -4, 4, 12, 13, -14],\n [6, 14, -7, -14, -6, 4, 6, -6, 6, 10],\n [-5, 9, 8, -4, -14, 5, 10, 11, -7, 5],\n [-3, -14, -5, -11, 0, 4, -9, 12, -10, -10],\n [3, 13, -12, 12, 7, -13, -11, 3, -6, 4],\n [11, -5, 7, 0, -14, 14, -4, -1, -5, 4],\n [9, 6, 1, -7, -13, 8, 10, -8, 4, -8]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191052184216", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 7) of the 7th power of the matrix:\n[[0, -2, -3, -10, 8, -1, -10, 0, 12, -10],\n [-2, 0, -9, 8, -3, -8, -10, 6, 8, 11],\n [-3, -9, -3, -4, 4, 10, -11, 6, -1, 4],\n [-10, 8, -4, -1, 4, 4, 6, 6, 4, -8],\n [8, -3, 4, 4, -5, -9, 9, -10, 2, -9],\n [-1, -8, 10, 4, -9, -8, 6, 12, -6, -6],\n [-10, -10, -11, 6, 9, 6, -9, 0, -2, 0],\n [0, 6, 6, 6, -10, 12, 0, -5, -10, 0],\n [12, 8, -1, 4, 2, -6, -2, -10, -6, 4],\n [-10, 11, 4, -8, -9, -6, 0, 0, 4, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13290072253", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[11, 8, -4, 10, -7, -2, 0, -12, 6, -3],\n [8, 2, -3, -4, -4, -7, 8, 0, 4, -5],\n [-4, -3, -8, 0, -6, 2, 2, 8, 0, 2],\n [10, -4, 0, 7, 12, 0, 4, 7, 1, -1],\n [-7, -4, -6, 12, 3, -2, -8, -1, 5, -8],\n [-2, -7, 2, 0, -2, 0, 6, 10, -6, 0],\n [0, 8, 2, 4, -8, 6, 4, -1, -2, -2],\n [-12, 0, 8, 7, -1, 10, -1, -3, 13, -6],\n [6, 4, 0, 1, 5, -6, -2, 13, 9, 0],\n [-3, -5, 2, -1, -8, 0, -2, -6, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "711939325561", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-7, -8, -6, 11, -8, 0, -6, -3, -12, -8],\n [-8, 1, -4, -2, 2, -10, 3, -12, -4, -10],\n [-6, -4, 4, -5, -2, 10, -8, 12, -2, -5],\n [11, -2, -5, 2, -3, -4, 2, 2, -8, 9],\n [-8, 2, -2, -3, -14, -6, 2, -2, -4, -2],\n [0, -10, 10, -4, -6, -8, 9, 6, -4, 3],\n [-6, 3, -8, 2, 2, 9, 2, 0, 5, 1],\n [-3, -12, 12, 2, -2, 6, 0, -9, -2, 10],\n [-12, -4, -2, -8, -4, -4, 5, -2, 12, 2],\n [-8, -10, -5, 9, -2, 3, 1, 10, 2, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126228344795", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, 4, 10, 4, 9, 11, -6, 8, -11, -5],\n [-6, 4, 0, 4, -13, -5, 4, 2, 5, 9],\n [6, -13, 4, 2, 3, 2, -13, 4, -14, -4],\n [10, -5, -10, 1, 9, -10, 9, 8, -3, -11],\n [8, -9, 4, -6, -3, 11, 0, 1, -2, 10],\n [6, 9, -8, 10, 8, 5, -11, -4, -7, -9],\n [10, -5, -8, -8, -11, -12, 9, -8, -11, -2],\n [5, 2, 12, -8, 2, 11, 11, -11, -4, -12],\n [-4, -12, -3, -14, -11, -1, -14, -1, -2, -2],\n [9, 0, 2, -3, 7, 8, 11, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141663163624", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 9) of the matrix A^6 where A is:\n[[-11, 12, -6, 8, 0, 5, 11, 0, -2, -4],\n [12, -9, -1, 0, 8, -6, -4, 4, -7, 2],\n [-6, -1, 5, 9, -1, 0, 8, -2, 12, 6],\n [8, 0, 9, -12, -4, 10, -5, -1, 0, -10],\n [0, 8, -1, -4, 7, -4, 0, 2, 8, -4],\n [5, -6, 0, 10, -4, -6, -2, -6, -12, 0],\n [11, -4, 8, -5, 0, -2, -11, -6, 4, -4],\n [0, 4, -2, -1, 2, -6, -6, 11, 4, 8],\n [-2, -7, 12, 0, 8, -12, 4, 4, 14, 2],\n [-4, 2, 6, -10, -4, 0, -4, 8, 2, -13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175571095", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, -2, 10, -8, -7, 8, 1, -4, 11, -11],\n [2, 1, 4, 8, 12, -4, -8, 12, -2, 4],\n [2, 11, 10, 13, 7, -2, 14, -3, -8, -14],\n [-14, 5, 8, -1, 12, 0, -4, 9, 11, -6],\n [2, -11, 5, 4, -8, -14, -6, -2, 9, -13],\n [-13, 9, 12, 0, 2, -2, -8, -6, -3, -12],\n [8, 7, 0, -8, 8, 11, -14, -1, 4, 1],\n [-5, -14, -10, -12, 2, 3, 11, 6, 12, 4],\n [7, 10, 7, 3, 1, -13, 0, -2, -2, 1],\n [-7, -4, -7, 7, -5, 8, -14, -3, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151335473008", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-6, 1, 3, -7, 8, -4, 5, 4, -11, 5],\n [11, -5, 9, -2, 14, 5, -1, 6, -13, 14],\n [-11, -8, 4, 2, 1, -2, 9, 9, 7, 8],\n [11, 12, 3, 6, -3, 8, 10, -14, 0, -12],\n [-9, -1, 8, -9, -14, 5, -9, -7, 11, 0],\n [-1, 1, 5, 8, 1, 12, 4, 9, -14, -11],\n [9, -5, 5, 3, -13, -11, 0, 14, -11, 1],\n [0, 3, -8, 0, 7, -4, 4, -7, 9, -14],\n [-12, -10, 3, -3, -3, 6, 12, 11, 4, -6],\n [-4, 2, 1, -11, -5, 7, 0, 10, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13918251546", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[13, 6, 8, -10, -4, 9, -10, -8, -9, 11],\n [-2, -13, 4, -4, 12, 5, -10, -6, -9, 2],\n [4, 8, -7, -8, -10, 0, -5, 9, 1, -6],\n [-8, -4, -6, 2, -6, -12, 7, -7, 4, 5],\n [1, -8, 13, -8, 5, 10, -2, -12, -3, 9],\n [-7, -2, 5, 1, -8, -11, 14, -3, 2, -14],\n [2, -13, -9, -3, 11, -4, 6, -4, 3, -7],\n [10, -8, 13, -1, 1, -3, -6, 5, 14, 8],\n [6, 1, 6, 4, 1, -6, -2, 11, -10, 7],\n [4, -5, -8, -6, 10, -1, 0, -2, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2300084208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[11, 6, 8, 14, -3, 13, 14, 4, -9, -3],\n [9, -2, -7, 1, -13, 7, -8, -3, -8, 4],\n [-1, -6, 3, -4, 1, 4, -4, 3, -4, 10],\n [-11, 3, 4, -2, -11, -5, 14, 7, -10, -12],\n [1, 11, -7, 9, -8, 4, -1, 0, 2, 6],\n [-14, -9, 12, 8, 0, -3, 6, 5, -13, -10],\n [-6, 5, -1, 3, 14, 7, -7, -13, -6, -8],\n [14, 3, 12, 1, 6, -10, 8, 14, 0, -10],\n [-4, 7, -1, 10, 4, -12, 9, -5, 13, -9],\n [13, 11, -12, -13, -2, 3, -13, 0, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42346450036", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[13, 6, 2, -13, 3, 0, 5, 8, -12, -10],\n [-4, -6, -10, 10, -14, 10, -1, -10, -7, 6],\n [-1, 13, 1, -9, -7, -13, 4, 12, -6, -10],\n [-10, 10, 11, 4, -11, 1, 1, 1, -8, 3],\n [9, 6, -14, -12, 10, 6, -7, -14, -8, -8],\n [-7, 4, 2, -4, 0, -6, 2, -4, -9, -6],\n [3, 5, -13, -11, 3, 13, -14, -4, -12, -7],\n [-10, 5, 6, 7, 7, -10, 13, -4, -3, 7],\n [-6, 6, -2, 7, 5, 14, -12, -2, 13, 7],\n [-4, -4, 6, 5, 6, -8, 2, 1, -1, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82434621057", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the 6th power of the matrix:\n[[-4, -1, -8, -10, 2, -8, -6, -6, -5, 2],\n [-1, -8, 6, -1, 0, -5, 1, -5, -4, -10],\n [-8, 6, -9, -6, 9, -8, 1, -8, -4, 0],\n [-10, -1, -6, -5, 4, -8, 4, 6, 8, 0],\n [2, 0, 9, 4, 9, -6, -6, 7, -8, -1],\n [-8, -5, -8, -8, -6, -6, 4, 6, -4, -9],\n [-6, 1, 1, 4, -6, 4, -9, -1, 8, 2],\n [-6, -5, -8, 6, 7, 6, -1, 7, -1, -6],\n [-5, -4, -4, 8, -8, -4, 8, -1, -5, 2],\n [2, -10, 0, 0, -1, -9, 2, -6, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44671411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[13, -4, -12, 0, -7, 5, 3, 12, 6, -14],\n [14, 9, -7, -12, -14, 5, 10, 1, -6, 2],\n [12, 1, 8, -9, 8, -8, 9, 1, -7, -5],\n [-1, -4, -13, -3, 13, 13, 5, 5, -2, 0],\n [12, 11, -3, -2, -7, 1, 14, 14, -12, 13],\n [14, -2, -3, 4, 14, -13, -14, -7, -6, 10],\n [12, -7, 6, 2, -6, -9, 13, 0, 8, 9],\n [-2, 6, 7, -3, -2, -8, 8, 3, -1, -4],\n [13, -1, 2, 9, 6, 11, -13, 4, 1, 7],\n [-5, 7, -7, 6, -10, -8, 11, -2, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4039862706113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[1, 0, -6, 7, 8, -3, -7, -2, -10, -1],\n [1, -4, 5, -3, 0, 9, -3, 11, -6, -14],\n [-12, -3, 5, -2, 8, -9, -5, -5, 1, 12],\n [-14, 1, -11, -9, 4, -13, 3, -5, 13, 13],\n [-11, 14, -14, 0, -5, 3, 1, -2, 11, 0],\n [-13, 5, -11, -14, -8, 8, 11, -4, 11, -5],\n [-14, -4, 9, -5, -1, -1, -8, 8, -4, 7],\n [13, -11, 12, 9, -13, -8, 4, -1, 4, -8],\n [-3, -12, 0, -10, -7, -1, 14, -11, -8, -8],\n [3, -1, -7, 11, -3, -5, -1, -6, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60110278678", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-14, -14, 10, 5, 2, -4, 11, -3, -12, -9],\n [-4, 14, -2, -4, -7, 14, -5, -13, 9, -1],\n [14, 1, 2, -4, -13, 9, 8, -10, 14, 1],\n [1, 11, -13, 1, 10, -10, -7, 14, 5, -1],\n [10, -5, 8, -13, -12, 3, 6, -13, 6, 14],\n [-6, -13, 10, -8, -8, -1, -10, -7, 8, 7],\n [3, -9, -1, 3, 2, -6, -2, 1, 6, -5],\n [-5, -11, -3, 12, -7, 0, 6, 8, 4, 0],\n [-7, -7, 4, -6, 9, 2, -7, -3, 12, 0],\n [-11, -9, 14, 1, 11, 10, -10, 8, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287349507", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 10, 7, 12, 5, 7, -10, 4, -8, -12],\n [-2, -1, 1, -2, -13, -1, 5, -8, -10, -1],\n [-6, -5, -8, 13, -1, 10, -1, 10, 13, -13],\n [2, 12, 5, -11, -2, 3, -12, 4, -10, -14],\n [-6, 9, -7, -12, -13, -14, -3, 7, -2, -5],\n [2, -4, -10, 10, 12, -6, -2, 13, 5, 8],\n [-4, 8, -11, 6, -4, -6, -8, 1, 8, 11],\n [8, 10, -10, -9, 4, -14, 12, 1, 13, 3],\n [9, -2, -14, -5, -8, -10, -2, 7, 1, 9],\n [5, 7, -1, -4, 4, 8, -13, 13, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5427571636", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -3, 13, -7, 1, 3, 4, 13, -11, 13],\n [10, 13, -3, 1, 6, 7, 2, -11, 5, 11],\n [9, 9, 11, 7, 9, -6, -10, 2, 2, -13],\n [-13, 6, 8, -8, -11, -2, 5, -4, 11, -12],\n [12, -13, 1, -12, 9, 0, 2, 1, 5, -8],\n [1, -10, -13, -14, 7, 14, -2, 1, -10, -12],\n [12, 12, 0, 1, -4, 10, 4, 3, 6, -6],\n [-7, 7, 4, 7, -10, 2, -10, -1, -8, -6],\n [13, 2, -12, -7, 7, -2, 1, 6, 14, -5],\n [3, -12, -3, 1, 3, 2, -8, 4, 8, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8272053293532", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[8, -7, 2, 6, 11, 10, 13, 12, -8, -14],\n [-7, 4, 14, 5, 5, -5, -3, 9, -14, 9],\n [10, 10, 6, -11, -11, -6, 0, 9, 11, 0],\n [11, 13, -8, -3, -12, 5, -6, -1, -2, 9],\n [13, -3, -14, 4, 1, -3, -5, -13, 3, -2],\n [14, 9, -9, -3, 13, 13, 14, 7, -11, -14],\n [-4, 8, -7, -13, -13, 1, -14, -11, -9, 6],\n [5, -1, 5, 11, 0, -8, -8, 3, 14, 8],\n [-13, 5, 0, -14, 6, 2, 5, 14, 10, -2],\n [-3, 9, 7, 0, 9, -10, -8, -7, 8, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1439117956017", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (4, 10) of the result:\nA =\n[[-11, 6, 14, -1, -5, 7, 13, 1, -4, 7],\n [14, 10, 11, -1, -1, -13, 7, -2, -12, 3],\n [7, -11, 6, 6, 4, 1, 13, -11, 4, 8],\n [0, -14, 1, 0, 1, 7, 5, -14, 2, -10],\n [-10, 11, -8, -2, -3, -11, 10, -11, 8, 6],\n [6, -9, 9, 0, 6, 4, -9, -3, -1, 3],\n [13, -3, 9, 9, 0, 4, 13, -7, -6, -10],\n [-10, -9, 8, -12, -10, -14, -4, 11, 6, 5],\n [-14, -8, 0, 2, 14, -7, 11, 13, -13, 11],\n [-2, -3, -10, -2, -9, 10, 0, 8, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2783589675", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[7, -6, -6, -4, -2, 0, 2, -2, -8, 12],\n [-6, -7, -14, -2, -3, -13, -10, 6, -9, -9],\n [-6, -14, -9, 8, 6, -2, -2, 2, -2, -8],\n [-4, -2, 8, 13, -2, 1, 6, 6, -8, 0],\n [-2, -3, 6, -2, 12, -4, 4, -2, -12, -10],\n [0, -13, -2, 1, -4, 4, -6, 0, -2, -8],\n [2, -10, -2, 6, 4, -6, 2, 6, -9, -7],\n [-2, 6, 2, 6, -2, 0, 6, 3, -10, -4],\n [-8, -9, -2, -8, -12, -2, -9, -10, -6, 1],\n [12, -9, -8, 0, -10, -8, -7, -4, 1, -9]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879442359", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-7, -1, 0, -2, -9, -7, -4, 0, -5, 6],\n [-1, -12, -6, 4, 8, -2, 0, -6, 4, 6],\n [0, -6, -14, -1, -4, -7, 5, -5, 1, -11],\n [-2, 4, -1, 4, -4, -3, -12, 0, -4, -5],\n [-9, 8, -4, -4, -13, 0, -2, -10, -8, -4],\n [-7, -2, -7, -3, 0, 3, 0, 5, 4, -12],\n [-4, 0, 5, -12, -2, 0, -11, 2, 0, -3],\n [0, -6, -5, 0, -10, 5, 2, -11, -2, 6],\n [-5, 4, 1, -4, -8, 4, 0, -2, 5, 0],\n [6, 6, -11, -5, -4, -12, -3, 6, 0, -7]], determine the value at position (2, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-580698169", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[3, 9, 8, -12, -9, 7, 11, 6, 14, 9],\n [0, 12, -3, -10, -8, 7, 12, 0, -8, -2],\n [10, -12, 11, 8, -2, 11, -12, 14, -13, 13],\n [8, -11, 2, -9, -4, -9, 7, -13, 2, -12],\n [-3, -1, -13, 7, 14, 13, 7, 14, -10, -5],\n [-5, 6, -6, 6, -2, -5, -9, -4, -11, 11],\n [-1, 2, 5, -13, -5, -12, -8, -8, -14, -7],\n [8, -14, -7, -1, -1, -13, -7, 4, -5, -8],\n [-2, 7, 6, 0, -4, 11, -1, -4, -13, -13],\n [14, -3, 0, 2, -1, 10, 1, 12, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5759876400", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[2, -10, -3, -9, 3, 11, -10, -9, -6, 0],\n [-5, 2, 14, 11, 4, -3, -6, 0, -1, -14],\n [2, -14, 8, 14, 6, 7, -2, -7, -2, 1],\n [-13, -2, 3, -12, -2, 4, -2, 4, -11, 4],\n [3, 10, -9, 4, 10, -11, -11, 9, -8, -8],\n [11, 8, 11, 1, 12, 1, -10, 0, 8, -11],\n [9, 10, -2, 13, 4, -8, -3, 11, -6, 2],\n [-13, 1, -8, 14, 3, -8, -14, -12, 6, 13],\n [-4, 7, 0, 14, 10, 10, -12, 9, -2, -11],\n [8, 7, -7, 7, -11, 3, -8, -4, 14, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4517825578", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-11, -2, -2, -3, 8, 5, 2, -6, 3, 12],\n [-2, 14, 2, 0, -2, -2, 8, 6, 3, 2],\n [-2, 2, -5, -10, 4, 8, -2, 6, 1, -4],\n [-3, 0, -10, 11, 6, -5, 10, -2, 5, -7],\n [8, -2, 4, 6, 8, 0, -3, -1, -3, -4],\n [5, -2, 8, -5, 0, -12, 0, 2, -8, 2],\n [2, 8, -2, 10, -3, 0, -13, 0, 9, -7],\n [-6, 6, 6, -2, -1, 2, 0, 11, 4, 7],\n [3, 3, 1, 5, -3, -8, 9, 4, -2, -6],\n [12, 2, -4, -7, -4, 2, -7, 7, -6, -6]], determine the value at position (5, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56775545441", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[11, -12, -11, 0, -10, 5, 5, -10, -5, 1],\n [10, -3, 10, -1, 7, -4, 13, 4, -9, -5],\n [5, -12, 7, 0, -4, 7, -13, 10, 9, -9],\n [2, 13, 3, -11, 8, -6, -5, 6, 11, -13],\n [14, -4, -4, -4, -14, 11, -1, 14, -14, 6],\n [8, 10, -6, 9, -14, 6, 7, 7, -11, -14],\n [4, -5, 0, 5, -11, 14, 5, -1, -10, 14],\n [0, 0, 12, 10, 1, 1, -11, 10, -6, -14],\n [-10, -6, 5, -10, -11, 14, 1, -13, 11, 1],\n [3, -13, 1, 14, -14, 1, -12, 0, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1645940072411", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[2, 0, 2, 0, -4, 0, -11, -5, 8, 3],\n [0, 13, -8, 2, -5, -8, -3, -2, 6, -6],\n [2, -8, 13, -1, 0, 9, -5, -4, -1, -10],\n [0, 2, -1, -14, 8, -8, -7, -9, 0, -9],\n [-4, -5, 0, 8, 0, 13, 0, 2, -4, 5],\n [0, -8, 9, -8, 13, -5, 2, 8, 4, 1],\n [-11, -3, -5, -7, 0, 2, -13, -4, 0, -9],\n [-5, -2, -4, -9, 2, 8, -4, -9, -3, -2],\n [8, 6, -1, 0, -4, 4, 0, -3, 9, -10],\n [3, -6, -10, -9, 5, 1, -9, -2, -10, -10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-494036024528", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-1, 5, -8, -8, 10, -4, -4, 2, -6, -6],\n [5, 0, -5, 11, -14, -4, -5, -9, -1, -10],\n [-8, -5, -4, -2, -6, 12, -2, 0, 0, 3],\n [-8, 11, -2, 12, 12, -4, 2, 2, 0, -8],\n [10, -14, -6, 12, 14, 0, -4, -4, -2, 2],\n [-4, -4, 12, -4, 0, -2, -8, -1, 10, 4],\n [-4, -5, -2, 2, -4, -8, -8, 10, 8, -6],\n [2, -9, 0, 2, -4, -1, 10, 7, -10, -8],\n [-6, -1, 0, 0, -2, 10, 8, -10, 8, 2],\n [-6, -10, 3, -8, 2, 4, -6, -8, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413585444969", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, -2, -8, 5, -3, -13, 12, -3, -3, 9],\n [-11, -11, 3, 1, -1, 2, 2, -12, -9, 8],\n [-2, -6, 6, -6, -7, 2, 1, 1, 12, 13],\n [4, 9, 1, 10, -1, 5, -1, -1, -1, -3],\n [-9, 5, -2, 1, -6, -13, 7, 12, 14, -12],\n [-5, 5, -13, 12, 9, -5, -7, 2, 11, 7],\n [-14, -9, -8, 0, 3, -6, -7, 10, -5, 14],\n [-11, 5, 13, -7, -14, -7, 8, -3, 8, 10],\n [0, -2, 1, 11, 8, 3, -14, 2, 1, 8],\n [-10, 5, 6, -5, 11, -9, -3, -5, 7, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47901119623", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-13, 4, 0, -8, 10, 8, 10, -6, -6, -7],\n [4, -7, 2, 6, 4, 11, 10, 10, -10, 0],\n [0, 2, 13, 7, 2, -7, 7, -10, 4, 6],\n [-8, 6, 7, -3, 4, 0, 0, -2, 4, 0],\n [10, 4, 2, 4, 10, 2, 7, -1, -6, -2],\n [8, 11, -7, 0, 2, 2, 4, -2, 0, 6],\n [10, 10, 7, 0, 7, 4, -6, -7, 0, 8],\n [-6, 10, -10, -2, -1, -2, -7, 14, 1, 2],\n [-6, -10, 4, 4, -6, 0, 0, 1, -12, -4],\n [-7, 0, 6, 0, -2, 6, 8, 2, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72349840514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-8, -3, 1, -6, 5, -10, -4, -13, 7, 1],\n [-11, -10, -8, -9, 9, 7, -5, -1, -7, 14],\n [-1, -1, 5, 13, 8, -12, -14, 14, -6, -6],\n [7, -13, 1, -7, 11, -9, 8, -2, -14, 4],\n [0, -14, -5, -14, 13, -3, -4, 14, 2, -11],\n [14, 8, -8, -3, -2, -10, 13, -9, -13, 6],\n [-8, -1, 10, 7, 13, -1, -5, -11, -12, 10],\n [8, 12, -1, 14, -9, 8, 0, -7, -10, -12],\n [-12, -2, -13, 9, -14, -3, -7, 4, -6, 13],\n [-1, 13, 12, 3, -5, -6, -9, -14, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-697698404", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (6, 3) of the result:\nA =\n[[10, 0, 2, 4, -5, 0, 4, -2, 5, -6],\n [0, -5, 1, 4, 8, -4, -5, 5, 8, 6],\n [2, 1, -13, -4, 5, 2, -3, 12, -8, -12],\n [4, 4, -4, 11, -2, 2, -4, -8, -2, 4],\n [-5, 8, 5, -2, 9, 6, 5, 2, 12, 0],\n [0, -4, 2, 2, 6, 3, -10, -2, 6, -10],\n [4, -5, -3, -4, 5, -10, -8, -8, 0, 4],\n [-2, 5, 12, -8, 2, -2, -8, 6, 0, -10],\n [5, 8, -8, -2, 12, 6, 0, 0, -9, 8],\n [-6, 6, -12, 4, 0, -10, 4, -10, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41705396", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[13, 13, -10, -6, -10, 6, -2, -6, -2, 0],\n [13, 1, 0, -10, 10, -2, 4, -2, -2, -2],\n [-10, 0, 3, -8, -4, 8, -6, 2, -3, -6],\n [-6, -10, -8, -8, -2, 0, 8, -6, 10, -4],\n [-10, 10, -4, -2, 14, -2, 2, 4, -6, 0],\n [6, -2, 8, 0, -2, 1, 4, -2, 1, -12],\n [-2, 4, -6, 8, 2, 4, 5, 4, -1, 8],\n [-6, -2, 2, -6, 4, -2, 4, -7, 11, 4],\n [-2, -2, -3, 10, -6, 1, -1, 11, -4, -8],\n [0, -2, -6, -4, 0, -12, 8, 4, -8, 9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370938800617", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -6, 2, 2, -10, -2, -4, 7, -5, -4],\n [-6, 1, 9, -6, 0, -2, 4, 4, 0, 6],\n [2, 9, 12, 6, -4, 7, -5, 0, 4, -3],\n [2, -6, 6, -14, -8, 9, 8, 2, 4, 5],\n [-10, 0, -4, -8, 0, 4, 12, -1, -8, 4],\n [-2, -2, 7, 9, 4, -13, 2, -3, 2, -9],\n [-4, 4, -5, 8, 12, 2, -4, -8, -2, -6],\n [7, 4, 0, 2, -1, -3, -8, 11, -2, -6],\n [-5, 0, 4, 4, -8, 2, -2, -2, -10, 0],\n [-4, 6, -3, 5, 4, -9, -6, -6, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21094303373713", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-1, 8, 3, 6, -4, 2, -6, 3, 0, 10],\n [8, 10, -6, -4, -4, 10, -8, -10, 8, 4],\n [3, -6, -11, 2, 5, -12, 2, 7, -6, 11],\n [6, -4, 2, 9, 0, 6, 2, 10, -4, -10],\n [-4, -4, 5, 0, -10, 0, 3, 4, 8, 2],\n [2, 10, -12, 6, 0, 8, 4, 0, 2, 0],\n [-6, -8, 2, 2, 3, 4, 3, -2, -6, -13],\n [3, -10, 7, 10, 4, 0, -2, -8, 11, 6],\n [0, 8, -6, -4, 8, 2, -6, 11, 5, 6],\n [10, 4, 11, -10, 2, 0, -13, 6, 6, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13007515904991", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[5, 14, 2, -5, -6, 7, -9, -4, -13, 8],\n [-3, -3, 1, 10, 7, 12, 9, -3, 6, 3],\n [-2, 0, 1, -11, -3, 2, -14, 7, 3, 7],\n [1, -14, 12, -5, 4, 1, -1, 10, -13, 9],\n [-9, 13, 7, 8, -10, -3, 12, -11, 7, 9],\n [-11, -10, -8, -9, -2, -11, -2, -11, -5, 5],\n [-14, 6, -7, -8, -10, -12, 0, 12, 2, 14],\n [8, -2, 0, 12, 4, 5, -1, 6, -2, -3],\n [9, 14, 8, -6, 12, -12, -4, -5, -14, 2],\n [13, 11, -2, -1, -14, -13, -13, -8, -6, 9]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29733288952", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-11, -13, 4, 11, -10, -6, 9, -2, -3, 4],\n [-6, -5, 4, -5, -3, -1, -7, 1, 2, 5],\n [-11, -9, -3, 13, 3, -8, -10, -5, -9, 12],\n [-1, -9, -1, -3, 12, 7, 11, -3, -7, -5],\n [1, 5, 11, -7, -6, -2, 14, 5, 2, 4],\n [2, -8, 13, -14, 12, 5, 14, -1, 2, -2],\n [14, -13, 12, -1, -14, 14, -10, -8, 4, -1],\n [9, -1, 0, -10, -10, 14, 6, 9, -13, 3],\n [13, 9, -6, 12, 13, -5, 11, 3, -11, -7],\n [3, 5, 11, 14, 14, 2, 1, 3, -8, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5805223965", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (4, 7) of the result:\nA =\n[[13, -14, 3, -11, 8, 5, 6, 5, -11, 10],\n [-9, 13, -12, -9, -2, 8, -8, 9, 14, -11],\n [-14, -9, 9, -10, -2, 4, -11, 9, -9, -2],\n [14, -10, -2, 10, -5, -12, 8, 10, 12, -2],\n [12, -3, -11, -5, 11, -12, 2, -6, 14, -14],\n [3, -6, 6, 5, 10, -6, -13, 4, 13, 1],\n [-12, 1, 6, -2, -12, -5, 7, 3, -9, -9],\n [3, -9, -9, 7, 13, -2, -1, 6, -8, -2],\n [0, -3, 6, 12, -14, 13, 10, -12, 3, 11],\n [7, -7, -13, -11, 3, 13, 13, 10, 11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-852799305", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, -14, 3, -12, 8, 10, -4, -4, -4, 11],\n [-14, 13, -6, 8, 8, 6, 8, -12, 4, 6],\n [3, -6, -9, 2, 0, 4, -8, -1, -6, -5],\n [-12, 8, 2, -9, 10, -5, -12, -4, -2, -3],\n [8, 8, 0, 10, -2, 0, -10, -3, -4, 0],\n [10, 6, 4, -5, 0, 0, 8, 1, 8, 4],\n [-4, 8, -8, -12, -10, 8, -10, -9, -6, -8],\n [-4, -12, -1, -4, -3, 1, -9, 6, -2, 1],\n [-4, 4, -6, -2, -4, 8, -6, -2, 11, 4],\n [11, 6, -5, -3, 0, 4, -8, 1, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7430314279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 0, -6, -1, -4, 10, -2, -2, -12],\n [-3, 3, -3, -2, -2, 4, -10, 8, -8, -2],\n [0, -3, 0, 1, -7, 2, 10, 1, 4, -4],\n [-6, -2, 1, -11, 3, 8, -4, 6, 12, 0],\n [-1, -2, -7, 3, -11, -2, -4, 11, -6, -5],\n [-4, 4, 2, 8, -2, 5, -3, -8, 3, 3],\n [10, -10, 10, -4, -4, -3, -7, -6, 0, 4],\n [-2, 8, 1, 6, 11, -8, -6, -3, 4, 8],\n [-2, -8, 4, 12, -6, 3, 0, 4, 10, -6],\n [-12, -2, -4, 0, -5, 3, 4, 8, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231881891393", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 2) of the 6th power of the matrix:\n[[-3, 3, 1, -13, -4, -3, -10, 12, 12, 9],\n [-9, 10, -4, 6, -5, -11, -6, -3, -5, 12],\n [-1, -10, -14, -10, 1, -10, -10, 14, 3, 14],\n [-9, 6, 3, 13, -5, 0, 9, 7, -4, 11],\n [13, 12, 4, 10, -2, 12, 12, 5, -12, 1],\n [-8, -3, 14, 0, -7, 8, 2, -14, 14, 6],\n [-7, -1, -5, 12, 4, -7, 4, -11, -5, 8],\n [-12, -11, 1, 9, -11, 10, 5, 14, 5, -2],\n [6, 2, 8, 10, 1, 13, 10, 2, -9, -12],\n [5, 9, -11, -7, 5, -6, 7, -14, -2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358322225", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-13, 8, -5, 8, 4, 2, 9, -2, 14, 11],\n [-1, 12, -4, -5, -8, -5, 9, -14, -1, -12],\n [-2, -13, 2, 6, -12, 11, 0, -7, -9, 11],\n [-6, 10, -4, 7, -13, -6, 3, 4, 7, 3],\n [-10, 3, -3, -11, 0, -4, 12, 4, -10, -9],\n [-2, 8, -5, 9, 10, -1, -11, 5, 8, -3],\n [0, 11, -5, -4, -6, -4, -13, -2, 12, 7],\n [11, 11, -7, 14, 6, 6, -7, -14, -9, 11],\n [-2, -6, 13, -9, 0, 8, 1, -11, 13, 11],\n [2, -6, -3, 7, 4, 5, 11, -3, 7, -9]], determine the value at position (9, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15267432", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-3, -6, -4, -7, 8, -3, -12, -2, 0, 1],\n [-6, -5, 0, 14, -6, 6, -4, 7, 2, -10],\n [-4, 0, -14, -1, 0, 4, 0, -2, 6, 2],\n [-7, 14, -1, -13, -2, -8, -1, 7, -1, 2],\n [8, -6, 0, -2, 4, -10, 0, 3, -10, -8],\n [-3, 6, 4, -8, -10, -4, 0, -2, 4, 1],\n [-12, -4, 0, -1, 0, 0, -10, 4, -2, -2],\n [-2, 7, -2, 7, 3, -2, 4, -1, -3, 12],\n [0, 2, 6, -1, -10, 4, -2, -3, -8, 0],\n [1, -10, 2, 2, -8, 1, -2, 12, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297798137727", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 10) of the result:\nA =\n[[11, 2, 2, 4, -6, 5, 4, 3, 11, -9],\n [2, -10, -4, 4, 6, -2, 8, -2, -4, -4],\n [2, -4, 11, 1, 8, 6, 5, 2, -4, -7],\n [4, 4, 1, 7, -7, 7, -6, -4, -10, -5],\n [-6, 6, 8, -7, 8, -1, -4, 0, -8, 1],\n [5, -2, 6, 7, -1, -10, 1, 2, -10, -2],\n [4, 8, 5, -6, -4, 1, -13, 6, 8, -12],\n [3, -2, 2, -4, 0, 2, 6, -3, -5, 8],\n [11, -4, -4, -10, -8, -10, 8, -5, 11, -6],\n [-9, -4, -7, -5, 1, -2, -12, 8, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1853116709", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[13, -3, -2, 2, -11, -5, -14, -4, 1, -4],\n [-6, -13, -8, 4, 3, 14, 5, -8, 8, -6],\n [-3, 14, -12, 8, 7, 11, 1, -8, 8, 11],\n [-10, 10, 8, -8, 13, 4, 2, 1, 6, 9],\n [6, 11, 4, 10, 3, 4, 13, -11, 11, -14],\n [12, -11, -11, -6, -7, -13, 14, 8, -9, 8],\n [-4, -11, -1, 6, 7, -6, -13, 12, 10, 11],\n [-14, -11, -3, -10, -6, 7, -11, 1, -13, 1],\n [1, 6, 9, 9, 7, -4, -14, 0, 9, -11],\n [3, 2, -8, 3, -2, 5, 5, 14, -5, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1154018192", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-13, 2, 7, 14, -12, 2, -3, 9, -3, 5],\n [-5, -8, -5, 3, 7, -9, -8, 13, 2, -3],\n [2, 3, -1, -4, -13, 6, -14, -4, -13, 1],\n [7, -12, 5, -14, 6, 5, -7, 4, 11, -14],\n [14, 11, -10, -14, -4, 6, -6, -10, -13, -2],\n [3, 11, 10, -3, -1, -10, 12, 9, -5, 5],\n [-13, -11, -3, -4, -11, -4, -6, -5, 12, -9],\n [0, -5, 7, 6, -9, -14, 14, 6, 13, 7],\n [9, 5, 6, -11, 8, 11, 7, -1, 5, 7],\n [14, 5, 13, -7, -4, 0, 4, -7, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117308291232", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[7, 2, -2, -5, 0, -2, -4, 12, 6, -1],\n [2, -2, -7, -4, -5, -7, -10, -8, 0, -3],\n [-2, -7, -9, -2, 2, 6, 7, 6, -10, -9],\n [-5, -4, -2, 12, 4, -6, -2, -3, 5, -1],\n [0, -5, 2, 4, -2, 13, 2, 6, -3, 12],\n [-2, -7, 6, -6, 13, 7, 0, 0, -6, -2],\n [-4, -10, 7, -2, 2, 0, 13, -6, 1, 0],\n [12, -8, 6, -3, 6, 0, -6, -14, -13, 0],\n [6, 0, -10, 5, -3, -6, 1, -13, 5, 0],\n [-1, -3, -9, -1, 12, -2, 0, 0, 0, 13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10930951087928", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-3, 0, -2, -6, 2, -1, 4, 0, 2, -4],\n [0, -1, 1, 2, -3, -1, 8, 2, -6, 7],\n [-2, 1, 8, -8, 7, 0, -4, 2, 2, 6],\n [-6, 2, -8, 4, -3, -6, 6, 10, -4, -8],\n [2, -3, 7, -3, -1, 0, 11, 2, 1, 2],\n [-1, -1, 0, -6, 0, -6, 1, 4, 2, -7],\n [4, 8, -4, 6, 11, 1, -1, 8, -8, 0],\n [0, 2, 2, 10, 2, 4, 8, -2, -7, 2],\n [2, -6, 2, -4, 1, 2, -8, -7, -14, -1],\n [-4, 7, 6, -8, 2, -7, 0, 2, -1, -7]], determine the value at position (2, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21230866", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 8) of the matrix A^7 where A is:\n[[-7, 7, -14, 11, -2, 8, 9, 6, -2, -4],\n [-11, -8, 13, -3, 12, -2, 7, -3, 1, -9],\n [-1, 4, 1, 12, 11, -11, -10, -6, 9, -12],\n [7, -5, 2, 4, -5, -3, 8, -8, 3, 4],\n [0, -8, -3, 7, 14, -8, -5, 10, 9, 7],\n [13, 5, 14, -5, 10, 8, -10, 3, -6, 1],\n [-8, 10, 12, 10, -5, -10, -8, -10, 0, 4],\n [-5, -7, 9, -6, -4, 13, 7, -13, -12, -2],\n [-4, 13, -5, 12, 0, -9, -14, -1, 3, 9],\n [-4, -7, 7, -12, -1, -13, 14, 1, -9, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145933939", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -5, -9, -6, -8, 10, -13, -4, -1, -10],\n [-6, -8, 10, -1, 12, 1, 7, 1, -8, -5],\n [6, -9, 2, -14, -13, 12, -1, -11, 12, -6],\n [8, -9, 2, 6, -4, 13, 14, -11, 6, 12],\n [-6, 13, 1, -12, -11, 9, -12, -2, 4, 14],\n [10, 6, 11, -14, 8, 8, -9, 7, -12, -12],\n [1, -5, 12, 10, 2, -8, -2, 13, -4, -5],\n [-8, 9, -9, 9, -14, 2, 10, -3, -11, -12],\n [-9, 11, 13, 1, -2, 13, -6, 11, -4, 5],\n [10, 6, -2, 8, 4, -12, -3, 4, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17671191486", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[7, -6, 10, 9, 2, -9, -11, -11, 4, -3],\n [10, -13, 2, 0, -5, -12, 14, 5, -11, 7],\n [-14, -14, 3, -11, 8, 7, 0, 12, 10, 8],\n [13, 6, 7, -5, 10, 2, 12, 10, 7, -3],\n [5, -3, 1, -10, 14, 1, 2, 8, 14, 0],\n [-2, -7, 12, 6, -13, -7, -5, -8, -5, 10],\n [-11, -4, -6, -11, -12, -4, -12, 11, 3, 11],\n [4, -1, 9, -4, 9, -13, 12, -13, -13, -5],\n [8, 0, 7, -3, -4, 2, 3, -1, 2, 0],\n [-3, 12, 1, 8, -9, -13, -13, 1, -13, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7104843894", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-8, -14, -11, -4, 5, -8, 3, -11, 2, 14],\n [14, -4, -4, 5, -4, 0, -1, 2, -13, 3],\n [1, -3, -5, 13, 1, -12, -7, 12, 7, 7],\n [10, 9, -13, 7, -14, 14, -1, 10, -11, -11],\n [-6, -12, -10, -14, 7, 4, -14, -5, 7, -3],\n [-5, -13, 1, -7, -1, 14, 0, 1, -4, -3],\n [-13, -11, -12, -6, 3, 4, -8, -11, -9, 4],\n [-14, 1, -4, 7, -11, 3, 8, 11, 14, 13],\n [14, -10, 7, -9, 10, 13, -13, -3, 7, -6],\n [13, 5, 14, -3, 14, -2, 12, 7, 8, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446669523118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-10, 5, -2, 14, -2, -5, 0, 0, 3, 3],\n [-13, 8, -4, -2, -4, -11, 0, 7, 8, 10],\n [-4, 3, 1, -5, -3, -2, -6, 12, 6, -2],\n [-9, -9, -4, 4, 12, -4, -5, 8, 0, -2],\n [8, -7, -10, -13, 1, -2, 4, -6, 0, -9],\n [-7, 9, -1, -10, 2, 7, -8, -6, 1, 3],\n [13, -2, 3, -5, -14, 6, 3, 4, -13, 12],\n [-11, -4, -12, -6, -5, 13, -13, -8, 0, 12],\n [4, -5, 9, 5, -1, -11, 10, -4, -12, 8],\n [2, -8, 11, -4, 3, 13, -1, -1, -9, 14]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3498009106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-6, 7, -12, 2, 13, -3, -11, 5, 1, 14],\n [9, -5, 11, 14, -8, -5, -8, 8, 13, 3],\n [-6, 7, 3, 2, -4, -14, 2, -11, -11, -1],\n [13, -6, -2, 13, 13, 1, -14, -12, 4, -7],\n [3, -9, 12, 5, 14, 11, -9, 14, -10, -3],\n [-6, -6, 2, 4, 2, 7, 1, -3, -12, -1],\n [2, 7, 1, 6, -3, 13, 9, -13, -7, -3],\n [6, 1, -7, 13, 1, -5, 5, 0, -11, 11],\n [0, -11, -4, -9, -11, -6, -6, -12, 8, 13],\n [-10, 0, 13, -6, -13, -12, 11, 6, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20537449173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -6, 12, -2, 4, -4, 10, -3, 4, 0],\n [-6, 2, -6, -10, -1, 2, 10, 7, 6, 2],\n [12, -6, 10, -4, 2, 4, 8, 0, 6, 8],\n [-2, -10, -4, 10, 2, -5, -6, 0, 0, 4],\n [4, -1, 2, 2, 8, -4, 4, 3, 2, 2],\n [-4, 2, 4, -5, -4, -4, -14, -12, 0, -1],\n [10, 10, 8, -6, 4, -14, 0, -1, -9, -4],\n [-3, 7, 0, 0, 3, -12, -1, -10, 6, -13],\n [4, 6, 6, 0, 2, 0, -9, 6, -3, -2],\n [0, 2, 8, 4, 2, -1, -4, -13, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11374888946", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 4, 11, -2, 4, 13, -2, 4, 0, -1],\n [4, 3, 1, 2, 8, 4, 4, -8, 0, 2],\n [11, 1, 14, -6, -2, -2, 0, 0, 10, -5],\n [-2, 2, -6, -10, -6, 4, 7, -3, -1, 5],\n [4, 8, -2, -6, 1, 4, 2, -5, -4, 0],\n [13, 4, -2, 4, 4, 9, -12, 2, -2, -2],\n [-2, 4, 0, 7, 2, -12, 9, 2, -10, 0],\n [4, -8, 0, -3, -5, 2, 2, -8, 6, 0],\n [0, 0, 10, -1, -4, -2, -10, 6, 8, -4],\n [-1, 2, -5, 5, 0, -2, 0, 0, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6688499900", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[6, -2, -4, 0, 6, 2, 2, -14, 3, -10],\n [-2, -9, -3, 6, 3, -4, 0, -6, -6, -13],\n [-4, -3, 8, -4, -2, 13, 0, 9, 8, 2],\n [0, 6, -4, -12, 0, -1, 0, 0, 6, 2],\n [6, 3, -2, 0, -1, -4, -3, -4, 3, -4],\n [2, -4, 13, -1, -4, 10, -6, 2, 4, 9],\n [2, 0, 0, 0, -3, -6, 0, 2, -1, -10],\n [-14, -6, 9, 0, -4, 2, 2, 13, 2, -2],\n [3, -6, 8, 6, 3, 4, -1, 2, -4, 4],\n [-10, -13, 2, 2, -4, 9, -10, -2, 4, -13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32476250899922", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, -8, 6, 2, 2, 0, -9, 7, -10, -5],\n [-8, -8, -5, -10, -4, 4, 1, -6, -9, 10],\n [6, -5, 12, 0, 9, 4, -6, -14, 2, -7],\n [2, -10, 0, 3, 3, 4, -10, -12, 2, -4],\n [2, -4, 9, 3, -3, 11, 10, 2, -4, -4],\n [0, 4, 4, 4, 11, -7, 2, -2, 10, 12],\n [-9, 1, -6, -10, 10, 2, 0, 0, 8, -1],\n [7, -6, -14, -12, 2, -2, 0, 9, -8, 0],\n [-10, -9, 2, 2, -4, 10, 8, -8, 14, -6],\n [-5, 10, -7, -4, -4, 12, -1, 0, -6, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26527264208", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-3, 1, -5, 12, 10, -3, -4, 10, 14, -1],\n [7, 5, -2, -13, 12, 5, -8, -14, 10, -12],\n [14, 14, 5, -3, -10, -3, 14, -12, 5, -10],\n [13, -14, 1, -6, -5, 14, -5, -2, 1, 5],\n [14, 10, -11, -1, 2, 13, -10, -2, 10, -12],\n [-10, 1, 4, 13, 4, 2, 3, 3, 10, 8],\n [-7, 3, -6, 14, 4, -5, 14, -13, 13, 2],\n [10, 9, -2, 13, -4, 1, 5, -8, 13, -12],\n [1, 4, 5, 1, -13, -1, 11, 5, -5, 4],\n [9, -4, 3, -4, -6, 4, 5, 14, -5, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3961572504", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -2, 5, 0, 1, 1, -11, 2, -2, 8],\n [-2, -9, -12, 6, 2, -3, -6, -2, -1, 0],\n [5, -12, 9, -7, 2, 4, -4, -9, -10, -4],\n [0, 6, -7, 11, 14, -2, 1, 4, 0, -6],\n [1, 2, 2, 14, -9, -4, 3, 6, 2, 7],\n [1, -3, 4, -2, -4, 7, 1, -2, -6, -2],\n [-11, -6, -4, 1, 3, 1, 7, 8, 2, -6],\n [2, -2, -9, 4, 6, -2, 8, -5, -3, -3],\n [-2, -1, -10, 0, 2, -6, 2, -3, -8, -5],\n [8, 0, -4, -6, 7, -2, -6, -3, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9903896161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (7, 9) of the result:\nA =\n[[-2, -13, 4, 4, 14, 4, 3, 10, -9, -13],\n [4, 11, -9, 5, 8, 7, 0, -9, 13, -12],\n [-4, -7, 10, 7, 3, 2, 4, 4, 9, 6],\n [2, 12, -11, -8, -10, 11, 14, 1, -9, -1],\n [11, 5, -13, 10, 3, 3, -2, 13, 3, 2],\n [-2, 13, -3, -12, 7, -8, -14, -10, 6, -14],\n [-11, 11, -14, -2, -1, 0, 2, -3, -8, 8],\n [4, 8, -12, 3, 11, -11, 11, -12, -3, 8],\n [13, -3, 2, -9, 0, -13, -7, -1, -10, -12],\n [-5, -8, -4, 0, -13, -10, -4, -7, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2406933618", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) of the matrix A^7 where A is:\n[[2, -6, -10, 6, -6, 8, 0, 4, 0, 8],\n [-6, -4, -4, 7, -6, -2, 2, -2, -2, -2],\n [-10, -4, -13, 6, -8, -7, 9, -8, 10, -4],\n [6, 7, 6, -9, 5, -2, 10, -13, -4, 6],\n [-6, -6, -8, 5, -4, 6, -2, -4, -8, -6],\n [8, -2, -7, -2, 6, 14, 0, -6, -7, 2],\n [0, 2, 9, 10, -2, 0, 1, -3, -10, 5],\n [4, -2, -8, -13, -4, -6, -3, 12, 11, 6],\n [0, -2, 10, -4, -8, -7, -10, 11, 10, -6],\n [8, -2, -4, 6, -6, 2, 5, 6, -6, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7974483751", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 9) of the 6th power of the matrix:\n[[-7, -7, -13, -1, -5, 3, 3, 3, 1, 5],\n [-10, 5, -10, 5, 8, -5, 2, -2, 2, 3],\n [-2, 2, 13, 0, 11, -3, 13, -5, -2, -4],\n [-12, 7, -5, -4, -9, -14, -9, -10, -8, 7],\n [-3, -3, -8, -13, 13, -14, 8, 10, 3, -3],\n [-8, 4, 7, -12, 14, -5, 14, 12, 12, -4],\n [-10, -13, -7, -1, -7, 8, -9, -14, 9, -14],\n [-7, -4, 3, 9, -5, -3, 5, 8, 1, -10],\n [1, 9, -3, -9, -10, -14, 4, -5, 10, -1],\n [10, 6, -12, -9, -10, 2, 3, -3, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9413227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (3, 4) of the result:\nA =\n[[-3, -3, -8, -8, -14, 0, 4, -5, 0, -2],\n [-3, 11, -4, 4, -4, -6, 2, -8, -2, 8],\n [-8, -4, -4, 7, -8, -5, -2, -1, -8, 4],\n [-8, 4, 7, -12, 0, 8, 0, 10, -2, -2],\n [-14, -4, -8, 0, 13, -1, 0, 7, 12, -4],\n [0, -6, -5, 8, -1, -14, 7, -2, 0, 0],\n [4, 2, -2, 0, 0, 7, 7, 7, -11, 6],\n [-5, -8, -1, 10, 7, -2, 7, -3, -4, -2],\n [0, -2, -8, -2, 12, 0, -11, -4, -11, 3],\n [-2, 8, 4, -2, -4, 0, 6, -2, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5912559517", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[5, -9, -3, 10, 8, 3, 12, -13, 4, 9],\n [-5, 10, 14, -12, 10, 13, -3, 11, 1, -3],\n [-7, -10, -4, -5, -12, 12, 8, -6, -3, -9],\n [4, 1, 6, 8, 9, 14, -1, 13, -11, 3],\n [-5, 3, -3, 4, -7, -14, -1, 8, -9, -1],\n [-13, -6, 14, -3, -10, -13, 4, -8, -8, -5],\n [2, 11, -1, 12, -4, 13, 5, -9, -7, 4],\n [4, 9, 9, 9, 2, 9, 9, 3, -3, -6],\n [8, 9, 1, 3, 1, 1, -11, 8, 7, -8],\n [-14, 9, 14, 8, 14, 5, -14, -7, 11, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24228169550", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-7, -5, -14, 6, 10, 6, 14, -1, -1, -5],\n [13, 4, 10, 14, 1, -6, 5, 1, 5, 12],\n [-7, -8, -4, 6, -9, 0, 4, -1, 0, -9],\n [14, 9, -5, -1, 1, -2, -4, 10, -12, -7],\n [13, -12, -13, 6, -1, 5, 14, 6, 7, 0],\n [-12, -14, 0, 5, 7, -13, 3, -14, -6, -12],\n [-13, -11, 1, 7, -14, -6, 10, -7, -9, 5],\n [3, 1, -7, 8, 13, -11, -12, 0, -9, -14],\n [3, 8, -4, -12, -2, 2, 3, 11, 11, -1],\n [10, -8, -8, -1, 11, 9, 0, -3, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266357694201", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 8) of the matrix A^7 where A is:\n[[1, 0, -5, 6, -1, 1, 14, -4, -10, -8],\n [0, 6, 1, -1, -8, 2, -2, 1, -6, 10],\n [-5, 1, -3, 0, 12, 2, 3, -6, -5, 4],\n [6, -1, 0, 2, 4, -14, 10, -4, -1, 7],\n [-1, -8, 12, 4, 2, 3, -1, 6, 6, 8],\n [1, 2, 2, -14, 3, 10, -1, -8, -2, 2],\n [14, -2, 3, 10, -1, -1, -9, 0, 0, 2],\n [-4, 1, -6, -4, 6, -8, 0, -8, 6, 6],\n [-10, -6, -5, -1, 6, -2, 0, 6, 6, -9],\n [-8, 10, 4, 7, 8, 2, 2, 6, -9, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2073751361", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -5, -4, 6, 6, 0, -6, 8, -4],\n [-2, 8, 0, 6, -6, 6, 0, -10, 2, -13],\n [-5, 0, 4, -13, -8, -1, -6, 5, 2, 4],\n [-4, 6, -13, 0, -4, 4, -12, 6, -4, 6],\n [6, -6, -8, -4, 7, 4, 2, -6, 1, 2],\n [6, 6, -1, 4, 4, -6, 4, 4, 10, -9],\n [0, 0, -6, -12, 2, 4, -11, -3, -12, 4],\n [-6, -10, 5, 6, -6, 4, -3, 2, 11, 6],\n [8, 2, 2, -4, 1, 10, -12, 11, -3, -3],\n [-4, -13, 4, 6, 2, -9, 4, 6, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14882736072", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 5) of the result:\nA =\n[[2, -4, 0, -1, -11, 0, 12, -1, 4, 0],\n [-4, -2, 2, 2, 3, -6, 13, -12, -6, 3],\n [0, 2, -3, -4, 2, 2, 6, -12, -6, 10],\n [-1, 2, -4, -10, 2, 7, -4, 7, -4, 1],\n [-11, 3, 2, 2, -1, -5, 8, 0, -8, 7],\n [0, -6, 2, 7, -5, -13, 2, -8, 6, 12],\n [12, 13, 6, -4, 8, 2, -8, -4, 9, -6],\n [-1, -12, -12, 7, 0, -8, -4, -9, 0, -2],\n [4, -6, -6, -4, -8, 6, 9, 0, -14, 6],\n [0, 3, 10, 1, 7, 12, -6, -2, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15469178105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[10, 0, -3, -3, 10, -4, 6, 2, -5, 12],\n [0, 12, -7, -6, -5, 2, 13, -6, 0, 0],\n [-3, -7, -10, 8, -4, -2, -4, -2, -2, 0],\n [-3, -6, 8, -7, 9, -2, 0, 0, 10, -1],\n [10, -5, -4, 9, 7, 11, -8, 0, 4, -3],\n [-4, 2, -2, -2, 11, 10, -6, -8, -8, -9],\n [6, 13, -4, 0, -8, -6, 6, -2, 4, 10],\n [2, -6, -2, 0, 0, -8, -2, -1, -4, -10],\n [-5, 0, -2, 10, 4, -8, 4, -4, 13, 4],\n [12, 0, 0, -1, -3, -9, 10, -10, 4, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4994273967603", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, -2, -2, 2, -1, -2, -4, -10, 9, 3],\n [-2, -12, 2, 0, -6, -5, 13, 4, 6, 4],\n [-2, 2, 7, -8, 9, -2, -4, 0, 10, 6],\n [2, 0, -8, 2, -2, 10, -2, 0, -6, 11],\n [-1, -6, 9, -2, -3, 2, 0, 8, -8, -10],\n [-2, -5, -2, 10, 2, 2, 5, -6, 10, 4],\n [-4, 13, -4, -2, 0, 5, -2, -2, -8, -12],\n [-10, 4, 0, 0, 8, -6, -2, -11, -6, 1],\n [9, 6, 10, -6, -8, 10, -8, -6, 0, -2],\n [3, 4, 6, 11, -10, 4, -12, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6084674608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 10, -8, -5, 12, -6, 5, -4, 7, 1],\n [10, -3, -8, -9, -2, -2, -2, -2, 1, -4],\n [-8, -8, -9, 2, -12, 1, -2, 0, 3, 6],\n [-5, -9, 2, 6, 2, -8, -7, 2, -10, -4],\n [12, -2, -12, 2, -1, -14, -2, -5, -2, 10],\n [-6, -2, 1, -8, -14, -5, 2, -2, 4, 10],\n [5, -2, -2, -7, -2, 2, 2, -8, 1, 6],\n [-4, -2, 0, 2, -5, -2, -8, 1, -4, -2],\n [7, 1, 3, -10, -2, 4, 1, -4, -8, -8],\n [1, -4, 6, -4, 10, 10, 6, -2, -8, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26969967272", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-1, -3, 2, 1, 8, 5, -3, 2, 7, 4],\n [-3, -3, 6, 8, 6, 4, 0, -3, -10, -5],\n [2, 6, -7, -2, -2, 0, 4, 10, 4, 2],\n [1, 8, -2, 5, 5, 6, -1, -5, 2, 0],\n [8, 6, -2, 5, -1, 11, -6, -1, -4, 2],\n [5, 4, 0, 6, 11, -2, -4, 0, -3, 9],\n [-3, 0, 4, -1, -6, -4, -10, -6, 4, -8],\n [2, -3, 10, -5, -1, 0, -6, 12, -10, 4],\n [7, -10, 4, 2, -4, -3, 4, -10, -1, 2],\n [4, -5, 2, 0, 2, 9, -8, 4, 2, -5]], determine the value at position (9, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-293158209", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 9) of the 7th power of the matrix:\n[[8, -6, 13, 9, 12, 13, 9, 0, -8, 3],\n [-14, 0, -13, 7, 14, -13, -5, 5, 0, -5],\n [4, 7, 13, 13, -2, 9, -4, 7, -13, 6],\n [12, -2, 7, 10, 7, 11, 6, -14, 11, -10],\n [6, 7, -8, -2, -2, 5, 8, 6, -9, 5],\n [-3, -7, -6, 3, 13, -4, 5, -4, 9, 9],\n [0, -6, -12, 2, 10, 2, -12, 4, -6, 2],\n [8, 3, 8, 0, -14, 14, 11, -5, -7, -5],\n [14, 11, -13, 4, -1, -7, 4, -14, 1, 10],\n [9, 0, 5, 9, -10, -12, 2, 14, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-630864403", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, -9, -11, -8, 4, -8, -1, 2, 8, 2],\n [-2, 12, -14, -13, 3, -11, -2, -14, -11, -13],\n [-11, 1, -11, 10, -6, 2, 6, 8, 5, 13],\n [6, -13, -12, 8, 11, 14, 0, -8, -11, -3],\n [-14, 2, -11, -11, 7, 8, 10, -6, 11, 13],\n [13, 6, -5, 12, 4, 4, 0, 7, 2, -8],\n [-12, -10, 1, 8, -8, 1, -6, -14, -12, 10],\n [-7, 3, 9, 9, 3, 9, 4, -8, 14, 10],\n [5, 12, -9, 10, 12, -4, -10, -3, -14, 4],\n [-4, 0, 10, 1, -12, -4, -4, -5, -13, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25413517966", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 8th power of the matrix:\n[[-10, 8, 8, 10, 14, -7, -2, 0, -13, -3],\n [9, -7, 6, 14, 4, 10, 13, 8, -14, -7],\n [-5, -2, -10, 7, -6, -5, -1, 9, -4, -1],\n [-12, 14, 6, 1, 5, 2, -10, 11, -8, 2],\n [5, 7, -4, -3, 10, 12, 9, -13, 12, 4],\n [11, 14, -10, -4, 8, 4, 13, -8, 6, 11],\n [7, -9, -4, 12, -1, 13, -11, 13, -7, -6],\n [-13, 10, -4, 13, 5, 7, -8, -11, 9, 14],\n [-1, 11, 9, -14, 9, 11, -3, 4, -10, 11],\n [-7, -4, 7, -11, 0, 5, -3, 5, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30696508680", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 10) of the 7th power of the matrix:\n[[14, -2, -2, 8, 3, -1, -8, 6, -6, 14],\n [-2, -12, 12, -3, 1, -2, 4, -10, -2, 0],\n [-2, 12, -12, 8, -4, 10, 1, 4, -6, -4],\n [8, -3, 8, -11, -10, -8, 1, 6, -5, 4],\n [3, 1, -4, -10, 4, -2, -10, -1, -4, 0],\n [-1, -2, 10, -8, -2, 2, -4, 4, 2, -3],\n [-8, 4, 1, 1, -10, -4, -14, 7, 10, -6],\n [6, -10, 4, 6, -1, 4, 7, -3, 4, -6],\n [-6, -2, -6, -5, -4, 2, 10, 4, 4, -4],\n [14, 0, -4, 4, 0, -3, -6, -6, -4, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14694186083", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, 4, -10, -2, 8, -4, -10, 1, 6, 6],\n [4, 14, 2, -8, 9, 0, -3, -10, 7, 7],\n [-10, 2, -9, 8, -2, -10, -10, 4, 8, 4],\n [-2, -8, 8, 8, -10, 7, 0, 2, 4, -10],\n [8, 9, -2, -10, 3, -6, -4, -10, -5, 0],\n [-4, 0, -10, 7, -6, -8, -6, 6, 2, -4],\n [-10, -3, -10, 0, -4, -6, -9, -1, 0, 2],\n [1, -10, 4, 2, -10, 6, -1, 1, -6, -11],\n [6, 7, 8, 4, -5, 2, 0, -6, 6, 8],\n [6, 7, 4, -10, 0, -4, 2, -11, 8, 6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2541245078644", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 1) of the matrix A^7 where A is:\n[[14, 2, 0, -7, 1, -6, 2, -2, -9, -3],\n [2, -2, -6, 0, -6, -8, -7, 4, 2, 8],\n [0, -6, -11, -8, -2, 10, 4, 1, -6, -7],\n [-7, 0, -8, -1, 6, 2, -8, -4, -8, 8],\n [1, -6, -2, 6, 0, 2, 8, 10, 0, 8],\n [-6, -8, 10, 2, 2, -10, 12, 0, -10, -12],\n [2, -7, 4, -8, 8, 12, 8, -7, 9, -4],\n [-2, 4, 1, -4, 10, 0, -7, 11, -6, -4],\n [-9, 2, -6, -8, 0, -10, 9, -6, -12, -1],\n [-3, 8, -7, 8, 8, -12, -4, -4, -1, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4443267184", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, -2, 10, -9, 7, -8, 13, 6, -9, -4],\n [2, 4, 13, 10, -3, 6, 6, 9, 12, 12],\n [-2, 3, 14, -8, 10, 8, 13, -10, 14, 1],\n [7, -11, 13, 8, -14, -11, -12, 14, -11, -14],\n [-3, -2, -13, 13, 12, 14, -6, -8, -2, 7],\n [-13, -14, 3, -8, 3, 4, -7, 8, -3, -4],\n [12, 12, -6, 13, -11, -8, 2, -4, 12, -13],\n [8, 3, 7, 14, 11, -3, -6, -4, -10, 11],\n [-8, 14, -14, 9, 10, 14, -10, -9, -2, -4],\n [-7, 5, -13, 0, -5, -7, -13, 6, 0, 14]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41346898376", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 3) of the matrix A^7 where A is:\n[[-9, -11, -1, -2, -2, 2, -4, 4, 0, 4],\n [-11, 4, 1, 0, -10, -2, -4, -9, 1, -12],\n [-1, 1, -1, 5, -4, -8, -2, -10, -1, -7],\n [-2, 0, 5, 7, 2, -1, -6, -4, -4, 0],\n [-2, -10, -4, 2, -5, -10, -2, 8, -2, 6],\n [2, -2, -8, -1, -10, 7, 0, 0, 11, -6],\n [-4, -4, -2, -6, -2, 0, 11, -2, 6, -6],\n [4, -9, -10, -4, 8, 0, -2, 3, -5, 6],\n [0, 1, -1, -4, -2, 11, 6, -5, 12, 12],\n [4, -12, -7, 0, 6, -6, -6, 6, 12, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8659619990", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) of the matrix A^8 where A is:\n[[9, 12, 0, -9, -3, -13, -11, 5, 10, 10],\n [6, -3, -12, 2, -9, 9, 2, 12, 2, -4],\n [8, -8, -13, 4, -13, 7, 14, -2, 9, 9],\n [1, 2, -4, -6, 12, 9, -6, 14, -1, -2],\n [10, -4, -3, 7, -12, -14, 12, -7, 11, 4],\n [-2, -8, -2, 11, -9, -12, -9, 13, -12, -2],\n [-2, 10, -2, -14, 14, -7, -10, 5, 2, -6],\n [-2, 10, -2, -10, -1, -4, 10, 11, -1, 10],\n [-8, 9, 2, -11, -5, -5, 0, 5, -3, -6],\n [-12, 0, -3, 11, 0, 11, -14, 0, -4, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559464669573", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-8, 4, -4, 6, -10, 4, -1, -7, 8, 10],\n [4, 7, -2, -8, 2, -7, -2, 11, 10, -5],\n [-4, -2, 6, 9, 2, 3, 7, 8, 6, 0],\n [6, -8, 9, 5, -4, 0, 0, 2, 1, 10],\n [-10, 2, 2, -4, 12, 2, -2, 6, -4, 2],\n [4, -7, 3, 0, 2, 5, -14, -6, 12, 8],\n [-1, -2, 7, 0, -2, -14, -10, 0, 0, -2],\n [-7, 11, 8, 2, 6, -6, 0, 9, -4, 2],\n [8, 10, 6, 1, -4, 12, 0, -4, 6, 2],\n [10, -5, 0, 10, 2, 8, -2, 2, 2, -8]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113902936", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[1, 10, 10, -12, 10, 8, 3, 4, -2, -10],\n [10, -13, -2, 4, -5, -1, 3, -6, -12, 4],\n [10, -2, 6, 3, 0, -4, -11, -11, 0, -12],\n [-12, 4, 3, -9, 0, 10, -9, 0, -8, 9],\n [10, -5, 0, 0, 11, 7, 0, -2, 0, 8],\n [8, -1, -4, 10, 7, 12, 4, 6, -4, -10],\n [3, 3, -11, -9, 0, 4, -4, -6, 2, -4],\n [4, -6, -11, 0, -2, 6, -6, -4, 12, 2],\n [-2, -12, 0, -8, 0, -4, 2, 12, 6, 11],\n [-10, 4, -12, 9, 8, -10, -4, 2, 11, 9]], determine the value at position (9, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65678830", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-1, 2, -1, 0, 2, -2, -11, 2, 4, -6],\n [2, -10, -4, -1, 0, 10, 0, 0, -10, 5],\n [-1, -4, 14, -6, 8, -8, -3, 2, 7, 0],\n [0, -1, -6, -1, 5, 12, -8, -12, 2, 4],\n [2, 0, 8, 5, -11, 6, 8, -2, 2, 8],\n [-2, 10, -8, 12, 6, -6, -8, -7, 4, -4],\n [-11, 0, -3, -8, 8, -8, -4, -5, -2, -4],\n [2, 0, 2, -12, -2, -7, -5, -5, 6, -2],\n [4, -10, 7, 2, 2, 4, -2, 6, 1, 4],\n [-6, 5, 0, 4, 8, -4, -4, -2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17486785717", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-13, 13, 2, 6, -8, -9, -9, 7, -7, -10],\n [0, 11, -8, -12, 10, -5, -12, -1, 7, -12],\n [-14, -14, 4, -11, -13, 10, -4, 9, -3, -2],\n [1, 1, 4, 8, 5, 6, 5, -6, 1, 12],\n [-8, -2, -11, -2, -7, -13, -8, -4, 2, 9],\n [14, -1, 13, -2, 0, 7, 13, 6, 10, -6],\n [-12, 10, -2, -2, -6, 3, -10, -4, -13, 2],\n [8, 5, 6, -11, 7, 12, 3, 9, 5, -7],\n [4, -3, 13, -4, 1, -10, 13, -12, -3, 0],\n [1, -2, -8, 0, -12, -3, -7, 10, 14, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8338209382", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[3, -12, -3, 14, 8, 6, 11, 8, -13, -1],\n [-1, -11, 2, 0, 1, -10, 9, 2, 8, -8],\n [8, 0, 2, -3, -4, 4, -4, -13, 0, -10],\n [3, 14, 6, 6, 1, -11, 12, 8, -5, 7],\n [-13, 0, -11, 14, 1, 12, -8, 10, 10, -3],\n [-12, 2, -6, -7, 8, -9, 0, -5, 8, 12],\n [10, -9, 0, -1, 11, 4, -2, -1, -12, -11],\n [11, 14, -1, -1, 11, -7, -5, -6, -1, -7],\n [-4, -5, 3, -11, -11, -3, 3, 14, -7, -12],\n [3, -8, -14, 7, -2, 14, -12, 14, -12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "874730340", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, 4, 13, -11, -2, -2, 0, 4, 1, -8],\n [-12, 11, 5, -13, 3, 10, -4, -14, 1, 2],\n [1, -5, 2, -12, 3, 4, -1, 6, 10, -13],\n [-3, -4, 2, 12, -9, 4, -2, -8, 7, -4],\n [-8, -2, -2, 6, -14, 4, 4, 8, 0, -1],\n [14, -12, 12, 6, 5, -11, 14, -8, -14, 8],\n [9, 4, -12, 5, 0, -2, 7, -1, -8, -14],\n [-2, -11, -3, -8, 12, -13, 2, -14, 11, -1],\n [7, 13, 6, -14, 11, -12, -4, -8, 13, 10],\n [14, -6, 7, -12, -14, 4, 11, -13, 12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9967024722", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[9, -2, -6, -4, 7, -4, -2, -2, -4, -2],\n [-2, -8, 8, 2, 0, -2, 0, 0, 6, 2],\n [-6, 8, -9, 8, 1, 8, -8, -6, 10, -9],\n [-4, 2, 8, 3, -2, 4, -1, 2, 5, 10],\n [7, 0, 1, -2, -6, -2, -8, -7, 3, 8],\n [-4, -2, 8, 4, -2, 4, -13, -4, -4, -9],\n [-2, 0, -8, -1, -8, -13, 3, 6, -4, 6],\n [-2, 0, -6, 2, -7, -4, 6, 0, 8, 3],\n [-4, 6, 10, 5, 3, -4, -4, 8, 7, -5],\n [-2, 2, -9, 10, 8, -9, 6, 3, -5, 12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258499082067", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-14, -8, 7, 1, -10, 1, -11, -4, -1, 14],\n [-2, 12, 9, 12, -7, 6, 5, 0, 3, -8],\n [6, 4, 10, -6, -4, 12, -5, -1, 1, 12],\n [-7, -14, -3, -12, -13, 1, -11, -13, -3, 12],\n [9, 2, 5, 6, -5, 5, -7, 3, 10, 3],\n [3, 14, -13, -3, -5, -7, 4, -5, -4, -1],\n [11, 0, 9, 8, -5, -11, -8, -4, 9, 7],\n [7, -12, -10, 11, -13, -3, 6, -10, -8, -11],\n [-4, 7, -6, -11, 12, 7, 14, 13, -6, 11],\n [-3, 1, -14, -7, -14, 5, 4, -11, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50085887", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[14, -6, -10, 2, 8, -3, -6, -6, 3, -8],\n [-6, 13, 0, -1, -7, 0, -2, 4, -5, 2],\n [-10, 0, -2, -2, -1, -6, -6, -4, -8, -2],\n [2, -1, -2, 8, 6, 6, 4, 6, 6, 4],\n [8, -7, -1, 6, 6, -3, 2, -2, -2, -8],\n [-3, 0, -6, 6, -3, -14, 0, -10, 2, -4],\n [-6, -2, -6, 4, 2, 0, 6, 3, -14, 4],\n [-6, 4, -4, 6, -2, -10, 3, -4, -4, -2],\n [3, -5, -8, 6, -2, 2, -14, -4, 13, 4],\n [-8, 2, -2, 4, -8, -4, 4, -2, 4, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15591218096", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the 7th power of the matrix:\n[[3, -4, -8, 8, 8, -1, 14, 3, -8, -5],\n [-7, 9, -1, 3, -10, -1, 7, 10, 7, 11],\n [7, -5, 11, 0, -9, -6, -5, 8, 2, -14],\n [-1, -11, 13, -13, -12, 13, -8, 8, -1, -3],\n [4, 14, 3, 0, 14, 14, -14, 10, 11, -12],\n [10, 0, -11, 0, -5, -9, -2, -8, 11, 7],\n [-14, 7, -4, -1, -9, -10, 4, 11, 4, 12],\n [11, -2, -8, -7, -1, 4, 4, 8, 11, -3],\n [8, 12, -6, -1, -9, 0, -2, -8, -4, -5],\n [-14, -8, 3, 8, -12, -6, 14, -10, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4651835170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-2, 1, 1, -3, 3, -4, 2, -8, 0, -9],\n [-9, 3, 4, 5, 4, -13, -12, -1, 7, 10],\n [-11, 7, 2, 13, -9, 13, 4, -6, -11, -8],\n [-11, -4, 7, 8, -13, -5, -9, -7, 0, -2],\n [14, 13, 7, -13, 5, -14, 0, -8, 9, 11],\n [3, -5, 0, -10, 12, 9, -4, -7, 6, -7],\n [-9, 0, 0, -10, -2, -1, -4, 5, 6, -3],\n [5, -14, -12, -7, 8, -3, 0, 8, 12, -12],\n [10, 7, -7, 9, 4, 5, -9, 3, 13, 13],\n [-4, -3, 8, -13, 12, -10, 13, -11, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "307002956617", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 8) of the matrix A^8 where A is:\n[[-2, 0, -8, -2, 6, 0, 2, 6, -9, 6],\n [0, 0, -10, -8, -4, 6, -4, 2, 1, 10],\n [-8, -10, 5, -2, -6, -6, 6, 8, -2, -12],\n [-2, -8, -2, 12, -6, -9, 12, -2, -8, -6],\n [6, -4, -6, -6, 12, -6, 7, 8, -2, -8],\n [0, 6, -6, -9, -6, 9, 4, 0, 10, 2],\n [2, -4, 6, 12, 7, 4, -11, -4, -6, -3],\n [6, 2, 8, -2, 8, 0, -4, 6, -10, -2],\n [-9, 1, -2, -8, -2, 10, -6, -10, -7, 6],\n [6, 10, -12, -6, -8, 2, -3, -2, 6, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328137043300", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the 8th power of the matrix:\n[[-5, 8, 2, 3, 5, -2, -1, 2, -4, -6],\n [8, -1, 4, -7, 4, -6, -12, 4, 6, -7],\n [2, 4, 3, -3, -2, 1, 8, -8, 3, 1],\n [3, -7, -3, -8, 2, 2, -4, 6, -4, 5],\n [5, 4, -2, 2, 13, -10, -6, 3, -5, 8],\n [-2, -6, 1, 2, -10, 1, -6, 2, 0, 11],\n [-1, -12, 8, -4, -6, -6, -5, -2, -4, -4],\n [2, 4, -8, 6, 3, 2, -2, 3, 12, 8],\n [-4, 6, 3, -4, -5, 0, -4, 12, 8, -4],\n [-6, -7, 1, 5, 8, 11, -4, 8, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18408319610", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[5, -3, -11, -7, -3, 4, 0, 13, 1, -3],\n [5, 3, 7, -3, 1, 10, 13, 5, -4, 7],\n [5, -1, -13, -2, -1, -9, -3, -8, -11, 13],\n [12, -8, -2, -4, -7, 12, 4, -13, 6, 3],\n [11, 6, -5, 14, -9, 9, 7, -11, 4, -1],\n [-1, 3, 14, 2, 3, 3, -10, -6, -14, -11],\n [11, -8, -4, -1, -5, 4, -7, -12, -7, 14],\n [3, -10, 5, -4, -6, 4, -3, 12, -10, 1],\n [11, 10, -2, -9, 1, 3, 2, -3, 12, -14],\n [-8, -1, 13, 3, 8, -14, 5, -5, 0, 14]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10227135024", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-4, -4, -3, -2, -2, 4, 4, 1, 2, -8],\n [-4, 13, 4, 0, 4, 2, -2, -6, 0, -10],\n [-3, 4, -4, 3, -8, 4, -10, -8, 6, 5],\n [-2, 0, 3, 9, -7, 0, 4, -6, -6, -11],\n [-2, 4, -8, -7, -3, 0, 10, 2, -4, -1],\n [4, 2, 4, 0, 0, -8, -6, 0, 3, 4],\n [4, -2, -10, 4, 10, -6, 7, 1, -8, -2],\n [1, -6, -8, -6, 2, 0, 1, 8, -4, 0],\n [2, 0, 6, -6, -4, 3, -8, -4, -2, -11],\n [-8, -10, 5, -11, -1, 4, -2, 0, -11, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243287374742", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[13, 2, 0, 6, -11, -12, -6, 4, 3, 9],\n [2, -7, 8, -7, 0, 0, -11, 2, 2, -8],\n [0, 8, 7, -4, -4, -3, -2, -5, 9, 3],\n [6, -7, -4, 1, -2, 6, -5, -6, -8, 2],\n [-11, 0, -4, -2, -3, 7, -8, 6, 2, 6],\n [-12, 0, -3, 6, 7, 8, -6, 6, 4, 0],\n [-6, -11, -2, -5, -8, -6, 4, 0, 0, 4],\n [4, 2, -5, -6, 6, 6, 0, 0, -8, 7],\n [3, 2, 9, -8, 2, 4, 0, -8, 13, -10],\n [9, -8, 3, 2, 6, 0, 4, 7, -10, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287962613", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-12, 0, 0, 10, 2, -2, 4, 2, -10, 3],\n [0, 2, 8, -10, 12, 2, 6, -8, -4, -9],\n [0, 8, 13, -2, -4, 6, 9, 10, -4, 0],\n [10, -10, -2, 6, 2, 6, -10, 0, 2, -9],\n [2, 12, -4, 2, -7, 10, -1, 4, -6, 6],\n [-2, 2, 6, 6, 10, 0, 10, -8, 4, -7],\n [4, 6, 9, -10, -1, 10, -2, 0, -3, 1],\n [2, -8, 10, 0, 4, -8, 0, -14, -2, -6],\n [-10, -4, -4, 2, -6, 4, -3, -2, 3, 5],\n [3, -9, 0, -9, 6, -7, 1, -6, 5, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2851698383821", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, -1, 11, 12, 9, -10, -5, -9, 13, -5],\n [-4, 11, 9, -9, -5, -1, 5, -12, -8, 14],\n [-13, -8, 2, -2, 11, 6, -6, -2, 0, -2],\n [2, -7, -6, -6, -7, 1, 5, -8, 2, -8],\n [-9, -10, 2, -7, 11, -14, 1, 2, -12, -2],\n [-7, 1, 9, -8, 6, 0, 9, -13, 9, 13],\n [12, -13, -5, -10, 12, 14, -11, 0, -2, 2],\n [6, 8, -14, 3, 13, 0, -1, -6, -3, -10],\n [14, 8, -13, 8, 8, -8, 6, -6, 3, -11],\n [-13, 9, 13, 12, -14, 10, -3, -2, -1, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10344101087", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[12, 13, -12, 13, 12, -11, 2, 4, -4, -7],\n [-3, 3, 3, -6, -10, 6, 2, -2, -9, 9],\n [7, -1, 0, 8, -1, -11, 3, -14, -3, 7],\n [-6, -5, 6, 13, 3, 2, 4, -11, 1, -8],\n [-6, -7, 10, -8, -5, -7, 9, 2, -3, -1],\n [-3, 10, -13, -3, 12, -1, -8, 14, 11, 11],\n [-2, 6, -11, -14, 2, -12, 2, -7, -12, 12],\n [-5, -13, 7, -11, 14, 14, -1, -4, -1, -2],\n [12, 14, -11, -13, -13, -4, 7, -10, -6, 5],\n [6, 2, -3, 13, 3, -12, -10, 13, 6, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "641594901", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 3, 2, 2, -2, -4, 2, 0, -8],\n [-2, -12, 10, 4, -1, -12, -3, 6, -3, 13],\n [3, 10, -8, -2, -8, -1, 8, 9, 9, -2],\n [2, 4, -2, -7, 6, -1, -4, 2, 5, -8],\n [2, -1, -8, 6, -7, -1, 4, 10, 5, -12],\n [-2, -12, -1, -1, -1, -12, 0, -10, -4, -1],\n [-4, -3, 8, -4, 4, 0, -8, 3, -4, 2],\n [2, 6, 9, 2, 10, -10, 3, 10, -3, -2],\n [0, -3, 9, 5, 5, -4, -4, -3, -14, -13],\n [-8, 13, -2, -8, -12, -1, 2, -2, -13, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23608186721", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[2, 8, 12, -8, -6, 6, -13, 0, -4, 0],\n [8, -12, -6, 0, 0, -6, 2, 14, 5, -2],\n [12, -6, 3, 0, 12, 8, -14, -9, 6, 6],\n [-8, 0, 0, 11, 6, 4, 2, 14, 1, 0],\n [-6, 0, 12, 6, -3, -4, 0, 11, 7, -1],\n [6, -6, 8, 4, -4, -5, -2, -12, -7, 2],\n [-13, 2, -14, 2, 0, -2, 7, -8, 2, 8],\n [0, 14, -9, 14, 11, -12, -8, 7, 3, 4],\n [-4, 5, 6, 1, 7, -7, 2, 3, -2, 7],\n [0, -2, 6, 0, -1, 2, 8, 4, 7, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3458772415", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the 8th power of the matrix:\n[[-12, 12, -6, -8, 4, -10, 4, -5, 5, -3],\n [-7, -12, 4, 12, -4, -7, 11, -2, 11, 8],\n [8, -5, 3, -3, -8, 11, -4, -5, -12, -8],\n [14, -11, 14, -7, -7, -9, -2, -3, -12, -9],\n [7, 4, -4, -11, 0, -13, 0, 2, -13, -8],\n [11, 1, -10, 1, 10, 4, -13, 0, -11, -13],\n [12, 8, -5, 7, 9, 14, -10, 3, 14, -11],\n [-14, 3, 5, -9, 5, 5, -1, 12, 11, -5],\n [3, -6, -3, -5, 9, 9, 6, 4, -9, -1],\n [10, -7, 8, -1, -4, 9, 1, 5, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88925520923", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[0, -1, 6, -3, -13, -7, 4, -1, -10, 9],\n [12, -6, -2, -6, -1, -10, -13, -8, 1, -4],\n [-4, 8, -3, -2, -7, 9, 1, 6, -14, -2],\n [-4, 14, -11, -11, 0, 12, -12, 9, 4, 14],\n [6, -13, -9, 7, 9, -7, 2, -10, -13, 11],\n [-3, -10, -5, 13, -6, 5, -7, -14, 9, -9],\n [9, 7, -4, -12, 13, 0, -4, 9, -10, 13],\n [11, 1, 6, 13, -8, -9, -6, -8, -12, -4],\n [12, -3, 6, 10, -4, 14, 11, -13, -14, 12],\n [9, 9, -13, -1, -2, 9, -10, -13, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341182931013", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (1, 2) of the result:\nA =\n[[4, -1, 2, 1, -2, -4, -2, -8, 0, -4],\n [-1, -1, 4, -2, -4, -2, 9, -4, 1, 4],\n [2, 4, 8, 12, -5, -3, -9, 8, -7, 0],\n [1, -2, 12, 14, 2, 1, -4, 3, 2, 5],\n [-2, -4, -5, 2, 7, 0, -4, 2, -10, 6],\n [-4, -2, -3, 1, 0, -9, -10, -8, 10, 2],\n [-2, 9, -9, -4, -4, -10, 13, 2, -3, -1],\n [-8, -4, 8, 3, 2, -8, 2, 7, -2, 6],\n [0, 1, -7, 2, -10, 10, -3, -2, 2, 8],\n [-4, 4, 0, 5, 6, 2, -1, 6, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30175054", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[3, -6, 8, -4, 6, 2, 0, 10, -8, -6],\n [-6, 3, 12, 4, 7, 2, 8, 0, 6, -10],\n [8, 12, -4, 6, -3, -6, -2, 6, 0, -5],\n [-4, 4, 6, 8, -4, 8, -6, 4, 10, -6],\n [6, 7, -3, -4, -12, 2, -6, 10, 0, -9],\n [2, 2, -6, 8, 2, -8, -7, 0, 0, -2],\n [0, 8, -2, -6, -6, -7, 8, 1, 7, -8],\n [10, 0, 6, 4, 10, 0, 1, 13, 8, -8],\n [-8, 6, 0, 10, 0, 0, 7, 8, 4, -2],\n [-6, -10, -5, -6, -9, -2, -8, -8, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10681000966", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[2, -3, 5, -3, -12, 6, 6, 11, -13, 6],\n [10, 6, 0, -4, -5, 3, 8, 7, 8, 9],\n [11, 6, -13, -8, -8, 9, -8, 11, 8, -1],\n [14, 10, 9, -13, -13, 8, 11, 0, -4, 14],\n [-5, -12, 2, -6, 0, -1, 4, 2, 7, 5],\n [2, 1, 5, -7, 12, -8, -3, -14, 11, -3],\n [10, -9, 1, 3, 4, 8, -12, 14, -12, -10],\n [-12, 4, 12, -10, -1, 6, 1, 13, 10, -14],\n [2, -4, -6, 6, -11, -13, 13, -6, 7, 10],\n [-10, -11, 8, -10, 9, 9, 14, 3, -2, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3666518684", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[11, 9, 4, 8, -12, 7, 3, -9, -9, 9],\n [-10, -14, -7, 13, 10, -14, 6, 13, -9, 5],\n [-1, -4, -13, 6, -11, -2, -8, -9, -12, -6],\n [-1, 5, -4, -10, -1, 4, -7, 12, -8, 12],\n [12, -8, 9, 8, -12, -12, 3, -2, -14, -10],\n [13, -11, 1, 0, 14, 12, 3, 2, -1, -1],\n [4, 14, -9, -2, 3, 11, 0, 14, 8, 12],\n [-8, 12, 4, 2, -6, -4, -10, -13, 0, 9],\n [-3, -5, -5, 5, -4, -5, 13, -8, -1, -2],\n [-10, 14, 4, -5, -7, 3, -14, -10, -4, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247079434", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-4, -2, 0, 2, -4, -2, 5, 6, 2, -11],\n [-2, 2, -2, 0, 10, -10, -4, 9, -8, -4],\n [0, -2, -6, -5, -12, 8, -4, 4, 10, -4],\n [2, 0, -5, 3, 3, 1, -2, 6, -4, 2],\n [-4, 10, -12, 3, -10, 2, 0, 3, 6, -11],\n [-2, -10, 8, 1, 2, 13, -2, 7, -8, -1],\n [5, -4, -4, -2, 0, -2, 9, -8, -5, 10],\n [6, 9, 4, 6, 3, 7, -8, -7, 0, 5],\n [2, -8, 10, -4, 6, -8, -5, 0, 14, 2],\n [-11, -4, -4, 2, -11, -1, 10, 5, 2, -13]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2849177573", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 4) of the 8th power of the matrix:\n[[4, 14, -7, 8, 5, -11, 10, 1, 0, -10],\n [14, 12, -10, 0, 8, 2, -12, 3, -4, 11],\n [-9, 12, -3, 7, 11, 2, -1, -9, -5, 1],\n [3, 12, 5, -9, 4, -12, -3, 1, -12, 1],\n [-11, 10, 5, -2, -11, -11, -8, 6, -3, -13],\n [1, -8, 4, -4, -14, -6, -10, 11, 2, 12],\n [-14, 2, -3, 10, -2, 9, -4, -2, -2, -9],\n [11, 7, -9, 5, 6, -5, 4, -12, 11, -8],\n [-10, -7, -10, -3, -11, 4, 13, 3, -12, -8],\n [-7, 0, 6, 12, 2, 4, -11, 1, 11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21251295926", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[14, 1, -10, -8, 1, 9, 4, -4, 12, -4],\n [1, -13, 14, 0, -5, 0, -12, 10, 0, 2],\n [-10, 14, 9, 2, 2, 8, -2, -2, 8, 1],\n [-8, 0, 2, 7, 8, -2, 0, 4, -1, 4],\n [1, -5, 2, 8, -13, -4, 1, -1, 5, 12],\n [9, 0, 8, -2, -4, -9, -2, -2, -6, -7],\n [4, -12, -2, 0, 1, -2, -12, -2, 9, 0],\n [-4, 10, -2, 4, -1, -2, -2, -14, -2, 8],\n [12, 0, 8, -1, 5, -6, 9, -2, 13, 2],\n [-4, 2, 1, 4, 12, -7, 0, 8, 2, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2412057855", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-13, 14, -6, -6, 4, -6, -13, 13, 4, 1],\n [7, -1, 5, 9, -14, -2, 7, -13, 7, -1],\n [-14, 0, 3, -6, 7, -7, -8, -6, -6, -4],\n [-11, -8, 6, -8, -11, -3, 11, 12, 12, 2],\n [5, 14, 11, -12, -6, -10, 5, 1, -7, 6],\n [1, 4, 1, 3, 0, 9, 13, 3, -1, 9],\n [1, -10, -7, 1, 6, -14, 13, 14, -4, -4],\n [-13, 7, 4, 9, -10, -12, 13, 11, 8, -7],\n [-11, 14, -2, 12, 10, 7, -1, -14, -10, 6],\n [-8, 8, -9, 0, 0, -7, -13, -1, 14, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5237216457580", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[14, 8, -5, 0, 8, -11, -3, -5, -13, -11],\n [5, 13, 13, -9, -1, 8, -12, 0, 11, -14],\n [4, 10, -14, -2, -7, 3, 7, -12, 8, 3],\n [5, 11, -6, -9, 5, -13, 11, 10, -11, 10],\n [3, -8, 12, -4, -10, -7, -4, 9, 5, 14],\n [5, 0, 9, -12, -8, 9, -7, -4, -5, 5],\n [-6, 0, 11, 5, 9, 7, -10, 0, -11, -10],\n [14, 0, 12, 2, 8, -7, 13, 10, 14, 4],\n [-6, -5, -10, -5, 7, -14, 10, 10, 7, 9],\n [-11, 6, -10, 8, -8, 8, -10, 5, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4778115759563", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-14, 7, 3, -3, -12, 5, -1, 1, 3, -5],\n [8, 0, -5, -14, 4, -13, -2, 10, 1, -7],\n [-12, 6, 4, -1, -4, 14, -3, -4, 13, -4],\n [7, 6, 12, 3, -5, 1, -7, -9, 4, -2],\n [0, -2, -14, 6, 13, 12, -13, -2, -13, 10],\n [-4, -2, -5, 8, 7, 0, 14, -14, -1, -5],\n [3, -4, -8, 0, -12, -13, 7, -7, -7, -4],\n [1, -13, 7, 13, -10, -8, 5, 13, -2, -13],\n [11, -12, -6, -5, 9, -2, 10, 6, -2, -10],\n [8, -8, 2, 13, 0, -10, 9, -8, 12, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134897655320", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[9, 4, 0, -5, 8, 2, -4, 4, 8, 4],\n [4, -9, 5, -10, 2, 1, -8, 8, -2, 2],\n [0, 5, 4, 2, 1, 0, 10, 6, -3, -8],\n [-5, -10, 2, -3, 10, 4, 4, 8, -8, 8],\n [8, 2, 1, 10, -7, 0, -5, -8, 8, -8],\n [2, 1, 0, 4, 0, -3, 5, -2, -3, 7],\n [-4, -8, 10, 4, -5, 5, -5, 2, 8, 10],\n [4, 8, 6, 8, -8, -2, 2, -3, 12, 11],\n [8, -2, -3, -8, 8, -3, 8, 12, -8, 3],\n [4, 2, -8, 8, -8, 7, 10, 11, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "742170076783", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[5, -7, 10, -3, 2, 2, -8, 12, -4, 5],\n [-7, -10, -12, -2, 8, -4, 0, -8, 2, 0],\n [10, -12, 12, 12, 2, 6, 2, 0, -6, 0],\n [-3, -2, 12, -2, 2, 0, -3, 5, -2, 8],\n [2, 8, 2, 2, -12, -7, 4, 4, 10, 2],\n [2, -4, 6, 0, -7, 14, 8, 12, 3, 1],\n [-8, 0, 2, -3, 4, 8, 13, -2, 6, -1],\n [12, -8, 0, 5, 4, 12, -2, 7, 2, 3],\n [-4, 2, -6, -2, 10, 3, 6, 2, -3, -4],\n [5, 0, 0, 8, 2, 1, -1, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26788438499", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (6, 3) of the result:\nA =\n[[3, 14, 0, 8, 13, 13, -12, 4, 0, 1],\n [7, 7, 2, -14, -4, -9, 8, -6, 5, 1],\n [11, -9, -3, 4, -2, -2, 12, -11, -6, -1],\n [-1, 2, -10, 12, 8, 4, -13, -2, -4, -13],\n [-14, 6, 14, -12, 12, -3, -8, -14, -6, 3],\n [9, 11, 5, -9, -6, 8, -7, 8, 3, 10],\n [0, -14, -1, 3, 4, 4, -5, 5, 6, -9],\n [2, -1, -2, -7, 7, -5, -6, -10, 8, 12],\n [-11, -9, -9, -2, -11, 7, -7, 12, -10, -13],\n [-6, -4, 5, 5, -4, -8, 11, -1, 11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68439499057", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-11, 1, -12, 0, -1, -8, -6, 7, 0, -1],\n [1, 3, 2, 6, -2, -5, -4, -2, -3, -2],\n [-12, 2, -3, 2, -9, 3, -1, -8, 10, -1],\n [0, 6, 2, -3, -2, 3, -6, 7, -4, 0],\n [-1, -2, -9, -2, 5, 0, -4, 10, -2, 0],\n [-8, -5, 3, 3, 0, -3, 4, 0, -6, 6],\n [-6, -4, -1, -6, -4, 4, 5, 6, 0, -2],\n [7, -2, -8, 7, 10, 0, 6, -1, -4, 2],\n [0, -3, 10, -4, -2, -6, 0, -4, -1, 2],\n [-1, -2, -1, 0, 0, 6, -2, 2, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1529177811184", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-3, -2, 11, 0, 9, -4, -2, -8, 4, 7],\n [-2, -3, 10, -6, -4, -6, 8, -2, -4, -2],\n [11, 10, 5, 8, -12, -8, 6, 0, 8, -11],\n [0, -6, 8, -7, -4, 0, 0, 1, -4, -12],\n [9, -4, -12, -4, -11, -8, 1, 4, 2, 4],\n [-4, -6, -8, 0, -8, 9, 0, 0, -8, 2],\n [-2, 8, 6, 0, 1, 0, 1, -2, -2, -2],\n [-8, -2, 0, 1, 4, 0, -2, -7, 10, -7],\n [4, -4, 8, -4, 2, -8, -2, 10, -9, -13],\n [7, -2, -11, -12, 4, 2, -2, -7, -13, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14046048644437", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 1) of the matrix A^6 where A is:\n[[-5, -4, -5, -7, -10, 8, -13, 13, 13, 0],\n [1, -11, 7, 13, 13, 1, -3, 13, -1, -3],\n [13, 6, 1, 1, 7, -3, -13, 8, 9, 14],\n [-1, -4, -6, 7, -8, 14, -3, 14, 2, -6],\n [-9, -3, 5, -5, -6, -3, -14, -13, 4, -14],\n [1, 1, 3, 3, 8, 11, -2, 7, -3, -6],\n [-10, -6, -2, 1, 13, -5, 1, -1, 10, -13],\n [13, 10, 4, -4, 4, 13, -4, -1, 0, 10],\n [-8, 0, 12, 9, 8, 10, -7, -11, 3, -1],\n [14, 12, 6, 3, -11, 13, -13, 6, -9, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342368395", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-14, 0, -3, 9, 3, -10, -4, 9, 6, 4],\n [7, -14, 2, -7, 8, 1, 11, 11, -4, 12],\n [4, 9, -4, 0, -7, -1, -14, -5, -8, 3],\n [-3, -13, 3, 14, 6, -8, 5, 12, -3, 5],\n [10, -1, -5, -6, 8, 0, 11, 5, 9, -5],\n [4, 4, -3, 8, 14, 12, -3, -6, 14, 12],\n [5, -11, -14, 1, -14, -2, -12, -3, 14, 8],\n [14, -6, -11, -13, 7, 7, -6, 5, 9, -2],\n [-1, 14, -12, 3, -6, 0, 7, 12, 9, 12],\n [-5, 10, 2, -2, -14, -4, -10, -6, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213163608", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-13, 8, 4, 2, 1, 0, 0, -1, 8, 6],\n [8, 10, -2, 3, 5, 6, 0, -4, 10, 4],\n [4, -2, 1, 8, -1, -2, -3, 0, -7, 4],\n [2, 3, 8, 7, -11, 1, -6, -6, 0, 8],\n [1, 5, -1, -11, 2, 13, -6, -8, 6, 0],\n [0, 6, -2, 1, 13, 12, -6, 0, 5, 2],\n [0, 0, -3, -6, -6, -6, -11, 6, -9, 5],\n [-1, -4, 0, -6, -8, 0, 6, -4, -6, -2],\n [8, 10, -7, 0, 6, 5, -9, -6, 13, -4],\n [6, 4, 4, 8, 0, 2, 5, -2, -4, 9]], determine the value at position (7, 9).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17038840484", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) of the matrix A^6 where A is:\n[[-5, 2, -5, 14, 0, 0, 4, 0, -8, -5],\n [2, 14, 14, 6, 8, -14, 3, 0, -3, 2],\n [-5, 14, 0, 7, -6, -8, 0, 2, 0, -5],\n [14, 6, 7, -9, 0, 2, -11, -2, -10, 2],\n [0, 8, -6, 0, 6, -8, 2, 5, -3, 3],\n [0, -14, -8, 2, -8, -8, 0, -1, 10, -8],\n [4, 3, 0, -11, 2, 0, -7, -4, 4, -11],\n [0, 0, 2, -2, 5, -1, -4, -11, 2, 2],\n [-8, -3, 0, -10, -3, 10, 4, 2, -9, -10],\n [-5, 2, -5, 2, 3, -8, -11, 2, -10, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63223313", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[10, -12, 8, -8, -14, -4, -13, -10, 9, 7],\n [-1, 14, -2, 1, 8, 0, -12, -9, -6, -12],\n [-2, 14, -2, 7, -8, -10, 11, 14, -7, -7],\n [7, -8, 4, 14, -8, 8, -11, -5, -2, -11],\n [4, -5, -8, -10, -12, 7, 13, 7, 7, -13],\n [14, -4, -5, 13, 8, -2, -8, -5, 13, -11],\n [12, 7, 5, 1, 5, -9, -6, 13, -2, -8],\n [3, -1, 7, -10, 7, -2, 9, -7, 0, 4],\n [-6, -9, 8, 10, -1, 14, 8, -5, -6, 2],\n [-2, 2, 4, -2, -6, -14, -14, -10, -7, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3681216522063", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-11, 7, -14, 0, 5, -11, 10, -6, 7, 9],\n [13, 11, 5, -5, 9, 0, -12, -13, 7, -10],\n [9, -14, -4, -3, 11, -12, 8, 14, 1, 11],\n [-1, -3, 5, 11, 1, 6, -7, 2, 2, 13],\n [-8, 0, 14, 13, -6, -11, -7, -5, 0, 8],\n [3, -1, -10, -6, -2, 14, 10, 4, -4, -3],\n [-12, -13, 8, 7, 0, -10, -8, -11, -10, 10],\n [1, 0, 12, 1, 10, -11, -9, 3, -12, 10],\n [7, 9, 12, -10, -13, 8, 1, -9, 12, 0],\n [3, -9, -2, 9, -2, -14, 1, -11, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328222792216", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[1, -10, -10, -2, -2, 2, -7, -4, -6, -4],\n [-10, 7, -6, -8, -4, 4, 2, 0, 4, 10],\n [-10, -6, -5, 9, -2, -8, -4, 4, 8, 8],\n [-2, -8, 9, 7, 4, 4, 8, -1, -4, 3],\n [-2, -4, -2, 4, -7, 9, 4, -10, -9, 2],\n [2, 4, -8, 4, 9, 7, -11, -3, -4, 8],\n [-7, 2, -4, 8, 4, -11, 3, 2, -1, 3],\n [-4, 0, 4, -1, -10, -3, 2, -14, -2, -2],\n [-6, 4, 8, -4, -9, -4, -1, -2, 10, -1],\n [-4, 10, 8, 3, 2, 8, 3, -2, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199683612106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-13, 6, -12, 6, 10, -4, 8, 8, -6, -2],\n [6, 2, 2, -8, 1, 2, 3, -6, -2, 4],\n [-12, 2, 12, 0, 2, -12, -4, 7, 3, -2],\n [6, -8, 0, 1, 4, 3, -8, 7, 3, 8],\n [10, 1, 2, 4, 4, 0, 0, -6, 13, -4],\n [-4, 2, -12, 3, 0, -3, 6, -6, 3, 1],\n [8, 3, -4, -8, 0, 6, 10, -6, 0, -8],\n [8, -6, 7, 7, -6, -6, -6, 12, 0, 4],\n [-6, -2, 3, 3, 13, 3, 0, 0, 1, -4],\n [-2, 4, -2, 8, -4, 1, -8, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16620768210557", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[14, -3, -10, 2, -2, -6, -1, -6, -8, 4],\n [-3, 7, 10, 0, 11, 3, -4, -4, 7, -4],\n [-10, 10, 7, -4, -1, -6, -4, 1, 0, -9],\n [2, 0, -4, -12, 12, -2, -2, -2, 1, -12],\n [-2, 11, -1, 12, -13, -2, -12, 7, -9, -6],\n [-6, 3, -6, -2, -2, 5, -8, 0, -3, 5],\n [-1, -4, -4, -2, -12, -8, 10, 12, -2, 1],\n [-6, -4, 1, -2, 7, 0, 12, 0, -3, -5],\n [-8, 7, 0, 1, -9, -3, -2, -3, 7, -6],\n [4, -4, -9, -12, -6, 5, 1, -5, -6, 13]], determine the value at position (7, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-404413925", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[13, -7, 4, 14, -5, 7, -10, -10, -10, -6],\n [14, 8, 13, -6, 0, -6, 14, -1, -9, 7],\n [5, -7, -13, -10, 2, -5, -1, 3, -14, 7],\n [-13, 13, -11, -2, 1, -10, 8, -5, 2, 13],\n [-4, -10, 0, -11, -8, -5, 8, 9, -11, 5],\n [11, -10, -10, -4, 4, -10, 6, -7, -8, -7],\n [-2, -10, 13, 12, 3, 9, -6, -13, 1, -1],\n [2, 13, -9, -12, 2, -2, -9, 13, -7, 10],\n [14, -9, 13, 1, -9, 2, 6, -12, 8, -3],\n [10, 14, 12, -9, 6, -8, -4, -6, 1, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17294387971049", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[0, 6, 11, -11, -10, -8, -12, -11, 10, 0],\n [13, -13, 9, 10, -10, -8, 7, 2, -7, -6],\n [-5, -4, -14, 0, -7, 4, -3, -9, -5, 9],\n [-10, 9, -8, -8, 8, 10, 7, 7, 12, -6],\n [0, -9, 1, -8, 0, 8, -13, 14, 13, -7],\n [-3, -4, -9, 5, 12, -2, 8, 1, -7, 2],\n [11, 14, -2, -11, 5, -5, 10, 14, 7, 5],\n [1, 14, 2, -7, -4, 10, -10, 6, 11, 1],\n [9, -7, 6, 1, -11, -9, 11, 6, -7, -6],\n [-2, 2, -6, -2, -6, -9, 12, -5, -10, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35444433857", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-4, 0, -8, -1, -9, -5, -11, 14, -6, -4],\n [0, -3, 0, 4, 8, 8, -1, 5, 8, -2],\n [-8, 0, 13, 4, -4, 6, 3, 0, 5, -8],\n [-1, 4, 4, -13, -8, 8, -3, 3, -7, -10],\n [-9, 8, -4, -8, 13, 2, -2, 2, 10, 0],\n [-5, 8, 6, 8, 2, 0, 2, -2, 8, 9],\n [-11, -1, 3, -3, -2, 2, -11, 4, 8, -2],\n [14, 5, 0, 3, 2, -2, 4, -8, 8, 2],\n [-6, 8, 5, -7, 10, 8, 8, 8, -4, 2],\n [-4, -2, -8, -10, 0, 9, -2, 2, 2, 0]], determine the value at position (7, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168448918", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 8, -5, -10, 9, 1, -8, 4, -4, 4],\n [8, 3, -2, -4, 2, -7, -13, 9, 10, -6],\n [-5, -2, 12, 9, 4, 10, -2, 2, 0, -1],\n [-10, -4, 9, -3, -2, 2, -4, 2, -4, -12],\n [9, 2, 4, -2, 7, -4, -2, 6, 10, -1],\n [1, -7, 10, 2, -4, 14, -10, 2, 0, -5],\n [-8, -13, -2, -4, -2, -10, -7, -13, -2, -6],\n [4, 9, 2, 2, 6, 2, -13, 9, -2, 13],\n [-4, 10, 0, -4, 10, 0, -2, -2, -13, -3],\n [4, -6, -1, -12, -1, -5, -6, 13, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95148806472", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[9, 3, -5, 2, 8, 9, 5, -1, -10, -7],\n [3, -6, -4, -9, -4, -7, 5, 12, 3, 2],\n [-5, -4, -9, 7, 0, 3, -4, 8, -2, 2],\n [2, -9, 7, 10, 1, 8, -7, 4, 6, -4],\n [8, -4, 0, 1, 3, -1, 7, -1, 7, -9],\n [9, -7, 3, 8, -1, 0, -6, 11, -4, 1],\n [5, 5, -4, -7, 7, -6, -2, 4, -12, -6],\n [-1, 12, 8, 4, -1, 11, 4, -8, -2, 2],\n [-10, 3, -2, 6, 7, -4, -12, -2, -11, -2],\n [-7, 2, 2, -4, -9, 1, -6, 2, -2, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3114282547", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 8th power of the matrix:\n[[11, -2, 3, -2, 0, 8, 8, 8, 6, -2],\n [-2, -11, 0, 4, 1, -2, -8, -2, -2, -4],\n [3, 0, -12, 12, -8, -6, 2, 1, -1, 12],\n [-2, 4, 12, -4, 0, 10, 11, -11, -6, 2],\n [0, 1, -8, 0, -4, 4, 4, -6, 0, 5],\n [8, -2, -6, 10, 4, -2, 9, 10, 8, -8],\n [8, -8, 2, 11, 4, 9, -4, 0, -1, -6],\n [8, -2, 1, -11, -6, 10, 0, -10, 4, 6],\n [6, -2, -1, -6, 0, 8, -1, 4, 0, -6],\n [-2, -4, 12, 2, 5, -8, -6, 6, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71498224232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[7, 2, 12, -2, -2, 11, 0, 1, 0, 6],\n [2, 9, 6, 0, -5, 3, -4, 14, 3, 0],\n [12, 6, -1, -11, -11, -2, -6, -7, -8, 2],\n [-2, 0, -11, 6, -10, -2, -3, 1, 8, -6],\n [-2, -5, -11, -10, -1, 2, 8, -4, -2, 0],\n [11, 3, -2, -2, 2, -6, 3, -1, 0, -2],\n [0, -4, -6, -3, 8, 3, 14, -4, -10, -8],\n [1, 14, -7, 1, -4, -1, -4, -7, 2, -10],\n [0, 3, -8, 8, -2, 0, -10, 2, 8, 0],\n [6, 0, 2, -6, 0, -2, -8, -10, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2698467705", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-14, -7, 13, 8, 1, -10, 14, 11, 11, -8],\n [11, -12, 9, 6, -13, -13, 5, 8, -5, 5],\n [-6, 3, -9, 5, -9, 11, 10, -5, 13, 10],\n [-6, -6, -12, -3, -4, -1, 10, 4, -5, 4],\n [-10, 7, -6, -14, 0, 9, -11, 11, -8, -9],\n [0, -9, -8, 5, 7, -12, 6, 14, 14, -2],\n [-13, -12, -2, -6, 7, 4, 3, -10, -5, -1],\n [6, 2, -12, -8, -6, -10, -11, -12, 11, -2],\n [-6, 8, 13, -8, 14, -7, -5, -14, 12, 5],\n [14, 14, 6, 6, -14, 4, -13, -3, 8, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5556182282492", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-1, -10, -7, 8, 12, 0, -14, -1, -2, -6],\n [-10, -9, -3, 7, -5, -11, -8, 2, 10, 0],\n [-7, -3, 14, 8, 6, -6, 9, 4, 6, 2],\n [8, 7, 8, -1, -8, 4, 4, -6, 6, -2],\n [12, -5, 6, -8, 1, 8, -2, 8, -10, -7],\n [0, -11, -6, 4, 8, 1, -10, 2, 0, -12],\n [-14, -8, 9, 4, -2, -10, 9, 13, -4, 1],\n [-1, 2, 4, -6, 8, 2, 13, 7, 0, 7],\n [-2, 10, 6, 6, -10, 0, -4, 0, 10, 4],\n [-6, 0, 2, -2, -7, -12, 1, 7, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11894895365810", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-11, 4, 9, 4, 8, 0, -6, 6, -6, 12],\n [4, -6, 3, 5, 9, -2, -8, 8, -2, 0],\n [9, 3, 11, 1, 2, 0, 8, -6, -2, -1],\n [4, 5, 1, 0, 7, -9, 8, -10, -12, 10],\n [8, 9, 2, 7, 1, -7, 6, 0, -4, -2],\n [0, -2, 0, -9, -7, -7, 9, -4, 2, 0],\n [-6, -8, 8, 8, 6, 9, 14, -5, 6, -4],\n [6, 8, -6, -10, 0, -4, -5, 12, -7, 2],\n [-6, -2, -2, -12, -4, 2, 6, -7, 6, 7],\n [12, 0, -1, 10, -2, 0, -4, 2, 7, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "445123597853", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[7, -10, 9, -7, 3, -4, 7, 13, 12, -5],\n [11, 0, -9, 4, 2, 8, -5, -10, 13, 1],\n [-3, 11, 6, 12, 9, 13, -10, 6, -14, -13],\n [-10, 8, 4, 13, 0, -14, -4, 13, 3, -12],\n [13, -6, 9, -11, 9, -2, -6, -12, 1, 7],\n [-7, 11, -8, 10, 8, 2, 10, 13, 1, 6],\n [7, 3, 1, 0, -13, 14, 5, -11, -10, -8],\n [14, 12, 13, 0, 2, -5, 5, 14, -6, 1],\n [9, -12, 7, 12, -6, -7, 8, -8, 2, -10],\n [-8, -2, 3, 7, -1, 3, -12, 2, 4, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1413724988268", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 4) of the result:\nA =\n[[6, -5, 2, 12, 6, 0, -10, 6, -7, 2],\n [-5, 10, -12, -9, 1, 4, -2, -10, 4, 9],\n [2, -12, 0, 0, -8, 4, 8, 4, 5, -4],\n [12, -9, 0, 2, -3, -4, 0, 2, -12, -4],\n [6, 1, -8, -3, -11, 12, -2, 3, -6, -9],\n [0, 4, 4, -4, 12, -11, 10, -4, 3, -7],\n [-10, -2, 8, 0, -2, 10, -2, 10, -6, 10],\n [6, -10, 4, 2, 3, -4, 10, -12, 9, 0],\n [-7, 4, 5, -12, -6, 3, -6, 9, 7, 10],\n [2, 9, -4, -4, -9, -7, 10, 0, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "976527010", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[14, 0, -5, 11, -5, 9, -12, 14, -9, -10],\n [9, 4, -1, 2, -3, -6, 11, 10, -12, 3],\n [-11, -1, 9, -9, 11, 0, 2, 9, -10, 14],\n [-9, 6, 11, -10, 4, -1, -11, -10, -4, 12],\n [-13, 7, -13, 5, -3, 1, 2, -11, -1, -8],\n [0, 1, -7, -13, 4, -14, 8, -11, 12, 11],\n [9, 6, 10, 7, -4, -5, 3, -14, 2, 1],\n [-3, 13, 1, -6, 2, -12, 13, 3, 0, 0],\n [1, 13, 5, -14, -14, -11, 14, -2, -11, 8],\n [-7, -2, 9, -7, -1, 13, 10, -14, -6, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-365069300439", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[9, -6, -6, 2, -1, -2, 7, 12, 4, -6],\n [-6, -6, 2, 0, 5, -2, 4, -1, 4, -6],\n [-6, 2, -11, 2, -7, -4, -4, -6, 7, 2],\n [2, 0, 2, 14, -9, 12, -12, 2, 6, -7],\n [-1, 5, -7, -9, 6, -6, 2, -2, 2, 12],\n [-2, -2, -4, 12, -6, -7, 0, -11, -2, -9],\n [7, 4, -4, -12, 2, 0, 6, -4, -10, -6],\n [12, -1, -6, 2, -2, -11, -4, -3, -11, -8],\n [4, 4, 7, 6, 2, -2, -10, -11, -14, 8],\n [-6, -6, 2, -7, 12, -9, -6, -8, 8, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1828993250411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-6, -2, -2, 4, -2, 4, -2, -4, -6, 0],\n [-2, 5, -6, -4, -9, -12, -4, 0, -8, -4],\n [-2, -6, 7, -4, 3, -2, 4, 2, -4, -10],\n [4, -4, -4, 0, 0, 0, 6, -4, 5, 8],\n [-2, -9, 3, 0, -14, -10, 4, -8, -4, -10],\n [4, -12, -2, 0, -10, 11, -2, 8, -12, -1],\n [-2, -4, 4, 6, 4, -2, 14, 3, 8, -8],\n [-4, 0, 2, -4, -8, 8, 3, 9, -2, 8],\n [-6, -8, -4, 5, -4, -12, 8, -2, -14, -12],\n [0, -4, -10, 8, -10, -1, -8, 8, -12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45517868181951", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[4, 8, -4, 6, -5, -9, -10, -1, -12, 9],\n [8, -10, 12, 2, 11, -8, -4, -6, 8, 2],\n [-4, 12, -11, 0, 4, 5, -3, 4, 6, 1],\n [6, 2, 0, -5, 6, -3, -2, 9, -4, 2],\n [-5, 11, 4, 6, 1, -6, -12, 6, 14, 5],\n [-9, -8, 5, -3, -6, 8, -4, 9, -4, 6],\n [-10, -4, -3, -2, -12, -4, -13, 4, 3, -4],\n [-1, -6, 4, 9, 6, 9, 4, 4, 3, -4],\n [-12, 8, 6, -4, 14, -4, 3, 3, 9, -4],\n [9, 2, 1, 2, 5, 6, -4, -4, -4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14102396889665", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, -7, 1, -7, 2, -1, -3, -12, 12, 5],\n [-13, -2, 6, -4, 9, -3, 3, -6, 14, -8],\n [-9, 9, -1, 3, -1, -10, 5, 9, -2, -14],\n [-3, 4, -5, 9, -10, 5, -9, -3, 6, -12],\n [14, 12, -1, 6, -11, 2, 2, -1, 0, -8],\n [-11, 2, -9, -4, -3, 0, 12, -3, -4, 12],\n [2, -7, -3, 14, -6, -4, -12, -8, 14, 6],\n [-12, 6, 1, -5, 8, -8, 10, 9, 5, 0],\n [6, 6, -5, -3, 3, 13, 8, 8, -6, 14],\n [-6, -11, -10, -8, 11, -8, -4, -5, -4, 9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1212197412", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[9, 3, -3, 10, 1, 12, -11, 2, 2, 6],\n [8, -10, -2, -12, 12, 8, 2, -4, -14, 13],\n [3, 2, -6, 5, -8, -10, 1, -8, -2, -2],\n [0, 8, 2, 2, 12, 4, -5, -13, -1, 8],\n [-12, -8, 10, 13, -4, 2, 0, 4, 14, -4],\n [0, 0, -9, 0, 14, -6, -10, 4, 9, 14],\n [13, -10, 7, -2, 3, 5, 2, 0, -1, 14],\n [1, -11, 2, 5, -1, 3, -9, 7, -7, -6],\n [9, -14, -2, -12, -9, 2, -7, -9, 1, -14],\n [-5, 3, 7, 11, -1, 9, -10, 2, -1, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3920366835320", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 8, 1, -10, -5, 2, -8, 1, 6],\n [-2, 13, 0, 6, 0, 12, -4, 7, 11, -2],\n [8, 0, -2, 4, 0, 5, 1, 6, 0, -6],\n [1, 6, 4, -12, -10, 2, -8, 2, -6, -9],\n [-10, 0, 0, -10, 12, -4, 12, -7, 0, 6],\n [-5, 12, 5, 2, -4, -12, 1, 7, -2, 2],\n [2, -4, 1, -8, 12, 1, -5, 6, -6, 5],\n [-8, 7, 6, 2, -7, 7, 6, 12, -10, 6],\n [1, 11, 0, -6, 0, -2, -6, -10, -11, 4],\n [6, -2, -6, -9, 6, 2, 5, 6, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11187127290277", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[1, -4, -8, -12, 3, -4, 8, 12, 6, 8],\n [-4, 10, 1, 2, 0, 6, -10, -1, 0, 1],\n [-8, 1, 5, 4, -14, -6, -4, -8, 6, -4],\n [-12, 2, 4, 2, 8, -6, 12, 10, -4, 0],\n [3, 0, -14, 8, 4, 8, 0, 2, 2, 1],\n [-4, 6, -6, -6, 8, -4, 0, -14, 12, 12],\n [8, -10, -4, 12, 0, 0, -8, 2, 6, 6],\n [12, -1, -8, 10, 2, -14, 2, -2, -11, 6],\n [6, 0, 6, -4, 2, 12, 6, -11, 3, 3],\n [8, 1, -4, 0, 1, 12, 6, 6, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40874346079", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-1, -4, -9, -6, -6, 7, 11, -6, -12, -2],\n [-4, 0, 3, 0, -3, 0, 8, 2, 0, -1],\n [-9, 3, -3, 6, 2, 0, -9, -6, 2, -14],\n [-6, 0, 6, -8, 4, 0, -6, -2, 2, -8],\n [-6, -3, 2, 4, -5, 8, 5, -2, 3, 3],\n [7, 0, 0, 0, 8, 14, 5, -2, -4, -5],\n [11, 8, -9, -6, 5, 5, 2, -12, 0, -3],\n [-6, 2, -6, -2, -2, -2, -12, -12, -5, 7],\n [-12, 0, 2, 2, 3, -4, 0, -5, -7, -4],\n [-2, -1, -14, -8, 3, -5, -3, 7, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3497566580745", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[14, 5, 0, -11, -12, 9, 6, 8, 11, 7],\n [-1, -6, 4, -9, -12, 3, 1, -12, -13, -13],\n [11, 12, 8, -5, 0, -12, -7, 14, 3, 12],\n [-4, -8, 4, 10, -8, 10, -13, -9, -10, -1],\n [3, -11, -11, 9, -2, 8, 14, 6, 10, -14],\n [5, -10, 9, -12, 13, 6, 4, -2, -8, -5],\n [-12, 8, -13, -8, -6, 13, 6, -3, 7, 14],\n [-5, 12, 4, -2, -5, -10, 14, 0, 6, -12],\n [-7, -9, 14, 4, 2, -5, -14, -2, 12, -5],\n [-3, -13, -5, 6, 8, -14, -14, 5, 14, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194544727", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[0, 7, 10, -14, 12, 11, 6, -6, 9, -8],\n [1, 1, -2, -5, 3, -6, -3, 14, 9, -2],\n [-4, 0, -5, -5, -6, 10, 10, -12, 8, 1],\n [-3, 2, 10, 0, 10, -12, -10, 13, -2, 9],\n [-9, 11, 11, -6, 14, 4, 13, -8, -2, 7],\n [-10, 1, -11, -10, 14, 5, 4, 8, -9, -11],\n [10, -14, 2, -6, 1, 8, -13, -4, 11, -10],\n [-2, 5, 2, 13, 14, 10, 0, 7, 12, 14],\n [-3, -9, 5, -2, 3, 9, 0, 0, -7, 4],\n [8, -1, -8, -1, -10, 0, 6, 0, 9, -11]], determine the value at position (10, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346239823", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-14, 2, 10, 5, -14, 1, -2, 3, -5, 8],\n [3, 2, 11, -6, -1, 6, -2, 5, 5, -1],\n [-4, -2, 2, -12, 14, -14, 6, -10, 10, -2],\n [9, -10, -10, 8, -3, -13, 14, 8, 1, 2],\n [-10, -3, 0, 13, -9, -2, -4, 11, 2, -6],\n [10, 1, 2, 5, 9, 3, -2, 14, -4, -2],\n [9, 11, -2, -3, -1, -2, 10, -6, -1, -14],\n [-6, -11, 13, -3, 9, 14, -1, -6, -12, -9],\n [-12, -14, 11, 7, 6, -12, -1, 5, -13, -3],\n [11, -5, -2, 5, -11, 4, 7, -14, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140225990432", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[11, -4, 0, -1, 4, -12, 8, 2, 8, 7],\n [-4, 1, 0, -6, 5, 1, -7, -12, 0, 9],\n [0, 0, 12, 8, -8, 7, -2, 0, 4, 8],\n [-1, -6, 8, -7, 10, -4, -1, -8, 4, 6],\n [4, 5, -8, 10, -2, -10, -6, 4, -10, 5],\n [-12, 1, 7, -4, -10, -9, -3, 12, 5, 8],\n [8, -7, -2, -1, -6, -3, 10, 4, 2, -3],\n [2, -12, 0, -8, 4, 12, 4, 5, -6, 6],\n [8, 0, 4, 4, -10, 5, 2, -6, 7, -12],\n [7, 9, 8, 6, 5, 8, -3, 6, -12, 7]], determine the value at position (8, 9).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1308766252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[11, 2, 2, 4, -6, 6, 2, -6, 7, 2],\n [2, -5, -6, -4, -3, -2, 0, -3, 2, -3],\n [2, -6, -14, 2, 2, 1, 10, 8, -2, 3],\n [4, -4, 2, -4, 7, -4, 2, 0, 6, -12],\n [-6, -3, 2, 7, 14, -6, -6, 8, -9, -2],\n [6, -2, 1, -4, -6, 6, 6, 0, 6, 0],\n [2, 0, 10, 2, -6, 6, 7, -8, -6, -7],\n [-6, -3, 8, 0, 8, 0, -8, 7, 6, -5],\n [7, 2, -2, 6, -9, 6, -6, 6, -5, 0],\n [2, -3, 3, -12, -2, 0, -7, -5, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508520374547", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-10, 8, -2, -12, -2, -8, 0, -2, 8, -9],\n [8, -8, -4, 10, 6, 2, -12, -8, 2, 0],\n [-2, -4, 14, -1, 8, -8, 8, -4, 12, 0],\n [-12, 10, -1, -7, -3, 0, 10, -8, -4, -2],\n [-2, 6, 8, -3, -5, -6, 2, 4, 2, 8],\n [-8, 2, -8, 0, -6, 3, -4, 2, 0, 0],\n [0, -12, 8, 10, 2, -4, -6, -4, -6, 2],\n [-2, -8, -4, -8, 4, 2, -4, -12, -6, -1],\n [8, 2, 12, -4, 2, 0, -6, -6, 8, -7],\n [-9, 0, 0, -2, 8, 0, 2, -1, -7, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1660750003483", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the 8th power of the matrix:\n[[8, 3, 5, 10, 7, -1, -4, 2, 4, 8],\n [3, 0, 0, -6, 2, -4, -2, 2, 8, 12],\n [5, 0, -6, 6, -6, -4, 1, -4, 0, -5],\n [10, -6, 6, -6, 13, -2, -6, -8, 7, 1],\n [7, 2, -6, 13, 10, 9, 5, 10, 13, 6],\n [-1, -4, -4, -2, 9, 8, -8, -4, -4, 0],\n [-4, -2, 1, -6, 5, -8, 14, 4, -7, 2],\n [2, 2, -4, -8, 10, -4, 4, -2, 2, 0],\n [4, 8, 0, 7, 13, -4, -7, 2, 12, 4],\n [8, 12, -5, 1, 6, 0, 2, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29830327076", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 7th power of the matrix:\n[[-7, 11, 9, 12, 0, 13, -4, -8, -13, 4],\n [-6, 3, -2, 8, -14, 4, -2, -1, 2, 7],\n [5, -14, -10, 5, -1, 12, 11, 12, 11, 3],\n [-2, 8, -3, 0, 9, -11, -6, -12, 14, 7],\n [-4, 0, 1, -8, -8, 7, -6, 2, -2, -6],\n [14, -6, 5, 14, 13, -3, 6, 4, 8, 0],\n [3, -7, 10, -9, 10, -9, -12, 11, -12, -13],\n [-10, 14, 5, -3, -9, 1, -10, -9, -11, -1],\n [14, -12, 2, -10, 7, 6, 6, 13, -9, 5],\n [13, -11, 12, -2, -7, -4, 9, 13, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-811842977", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, -11, 2, 12, -2, -8, 6, -8, 6, 3],\n [-11, 0, -9, 7, -8, -1, 4, 0, 3, 12],\n [2, -9, -1, 4, -5, -11, -3, 5, 2, 0],\n [12, 7, 4, -9, 6, -8, 5, -8, 4, 0],\n [-2, -8, -5, 6, 12, -2, 11, 0, 7, -3],\n [-8, -1, -11, -8, -2, 13, -12, -1, 0, -12],\n [6, 4, -3, 5, 11, -12, 9, -12, 12, -10],\n [-8, 0, 5, -8, 0, -1, -12, 13, -12, 8],\n [6, 3, 2, 4, 7, 0, 12, -12, 4, 0],\n [3, 12, 0, 0, -3, -12, -10, 8, 0, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9231472178", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) of the matrix A^7 where A is:\n[[-3, 10, -14, -8, 9, -4, -5, -12, -7, -14],\n [-7, 8, 5, -4, -8, 11, 12, 1, -8, -2],\n [-5, 14, 13, 2, -12, -8, -4, -2, -10, 10],\n [8, 4, 0, -14, -10, -2, -5, 14, -10, 8],\n [-14, -5, 3, 12, 7, -7, 5, -12, 4, 4],\n [-13, 2, 1, 6, -5, 6, 1, -10, 5, -12],\n [13, -12, -13, 6, -11, 7, 3, -13, 9, -9],\n [-12, 6, -12, 12, -13, -12, 2, -1, -8, 7],\n [6, -9, -7, 4, 4, -3, -10, -10, -1, 12],\n [2, 1, -11, 10, -7, -12, 6, -10, 8, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4648251217", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^8 where A is:\n[[10, -8, 3, 9, -7, -4, 14, -1, 3, -2],\n [-9, -2, 11, -14, -4, -8, -5, -13, 1, -10],\n [1, 8, 11, 1, 12, 0, -6, -14, -6, -4],\n [-10, -9, -7, 0, 12, 1, 3, -3, 8, 13],\n [-11, 10, 7, 1, 8, -4, 7, 12, 9, 7],\n [-8, 9, 0, 2, 0, -5, 13, -11, 7, 2],\n [-11, 7, 8, 14, 7, -4, -11, -3, 14, 8],\n [-5, -1, 3, -9, -10, -13, 10, -2, 8, -1],\n [-12, 8, -4, 12, 7, 8, -11, -2, 14, 11],\n [14, -7, -7, 8, -2, 8, -5, -2, -2, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155278528485", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 10) of the 8th power of the matrix:\n[[2, -9, -13, 2, -3, 11, 8, -9, -10, -10],\n [10, -6, 13, 13, 7, 14, -12, 8, 5, -10],\n [-8, -3, -8, -5, -7, 2, -10, 0, 13, -6],\n [8, -4, 13, -2, 3, 2, 9, -6, -5, -10],\n [-4, 7, 0, -13, 12, 6, 13, 5, 9, 9],\n [-1, -10, 12, 9, -9, 11, 7, 14, 0, 14],\n [-11, -5, 13, 12, 4, -6, 6, 11, -5, -11],\n [7, -11, -9, 11, -7, 1, -7, 13, 1, -9],\n [2, 14, -14, 4, 3, 2, 2, 13, -3, -3],\n [-9, -8, -7, -12, 2, 6, -7, 13, 12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17518668599", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (10, 6) of the result:\nA =\n[[5, 3, 1, 10, 13, -2, -6, 4, -8, 14],\n [2, -7, -7, 14, -12, 1, -3, 0, 6, -11],\n [8, 12, -8, -4, 9, -10, -2, -4, -10, -7],\n [6, 14, 14, 2, -4, 4, 3, 13, -5, -10],\n [14, 9, 10, 10, -14, 2, 2, -14, 10, -14],\n [8, 7, -6, 12, 10, -11, -6, -1, 0, 1],\n [1, -2, -1, 7, 6, -6, 8, -6, 6, -11],\n [-5, -12, 6, -6, 4, 1, 1, 2, 3, -5],\n [6, 4, 7, 0, 0, -4, -7, 7, 1, -5],\n [-6, 0, 7, -10, 5, -13, 7, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8001462872", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, -14, 4, -5, 6, 14, -2, 8, 9, 8],\n [8, -4, 0, -13, -9, 6, -4, 0, -6, -3],\n [11, 12, -11, 13, 8, 12, 9, -1, 7, -12],\n [12, 6, 2, -2, -7, -3, -3, -3, 12, -13],\n [14, -5, 8, -6, -14, 14, -11, 8, -1, 1],\n [10, 3, -13, -9, -12, 5, 4, -2, 2, -1],\n [7, -4, 1, -4, 14, 3, -13, 8, 6, -7],\n [-1, -13, -2, -5, -7, -8, -2, 11, 9, 12],\n [4, 9, 0, 7, -13, 7, -10, 4, -14, -8],\n [3, -14, -14, -8, 13, 2, 10, -9, 5, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-669933007", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 0, -2, -3, 6, -13, 6, 3, 13, -11],\n [-5, -4, 6, -9, -9, -6, 5, -2, -10, -9],\n [-11, -9, 3, 13, -2, 8, -12, -5, -11, 10],\n [0, -3, 0, 14, 6, 10, 11, 14, 11, -5],\n [-3, 11, 7, -7, 6, 6, -12, -8, 3, 12],\n [13, -12, 0, -13, 0, -2, 9, 5, -5, 9],\n [9, 9, 9, -7, 1, 13, 10, 1, -13, -6],\n [-7, -4, 11, -14, 6, -4, 3, 11, 6, 14],\n [0, 9, -6, -6, -14, -8, -3, 12, 9, -5],\n [4, 14, 1, -9, -4, 4, 10, 14, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4137890169269", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[10, -1, 2, 4, 2, 0, -5, -6, -11, -10],\n [-1, -2, -1, -2, -9, 2, 5, 6, -1, 0],\n [2, -1, 13, -8, 3, 12, -6, 5, 4, 0],\n [4, -2, -8, 8, -12, -1, -2, -4, -6, -8],\n [2, -9, 3, -12, 3, 6, -6, 0, -4, 9],\n [0, 2, 12, -1, 6, -2, 6, -2, 4, -6],\n [-5, 5, -6, -2, -6, 6, 6, 4, -8, 6],\n [-6, 6, 5, -4, 0, -2, 4, -1, -12, -12],\n [-11, -1, 4, -6, -4, 4, -8, -12, 14, 5],\n [-10, 0, 0, -8, 9, -6, 6, -12, 5, -2]], determine the value at position (5, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279273239214", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-13, 0, 4, 10, 10, 1, -4, 0, -9, -1],\n [12, -9, 4, -10, -4, -11, 11, 11, 13, -6],\n [-6, 2, -7, 0, -6, -10, -11, 11, 5, 3],\n [-6, 6, 12, -12, 7, -6, -6, 13, 14, 6],\n [9, -11, 6, -8, -8, 14, 8, -7, 12, 6],\n [-14, 12, -6, 10, 8, -3, -9, -2, 14, -10],\n [6, 4, 11, -14, 7, 9, 3, -7, 9, 11],\n [-7, 11, 0, 4, -5, 9, 1, -4, -3, 1],\n [1, 13, 5, -12, 12, -6, -7, -5, 14, -2],\n [3, -2, -2, 0, -2, 1, -7, 12, 12, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10244010715221", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-5, 2, -2, 1, 8, 10, 1, 10, -1, -10],\n [2, -14, 10, -7, 4, -10, -8, 0, 0, 12],\n [-2, 10, -10, 2, -6, -2, 0, -4, 0, 0],\n [1, -7, 2, -3, -1, -6, -3, 8, -1, 12],\n [8, 4, -6, -1, -11, -8, 2, 0, 2, 3],\n [10, -10, -2, -6, -8, 12, 6, 8, 4, 3],\n [1, -8, 0, -3, 2, 6, 13, 2, -6, 0],\n [10, 0, -4, 8, 0, 8, 2, 4, 3, 4],\n [-1, 0, 0, -1, 2, 4, -6, 3, -13, -12],\n [-10, 12, 0, 12, 3, 3, 0, 4, -12, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98677364", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-7, 4, -10, 6, 2, 9, 13, 6, -5, -4],\n [4, -3, 8, -4, 4, 2, 1, -6, 1, -10],\n [-10, 8, 8, 4, 4, -2, 1, 6, 4, 0],\n [6, -4, 4, 8, 4, 3, 10, 6, -8, 0],\n [2, 4, 4, 4, 0, 12, -2, 9, 5, 11],\n [9, 2, -2, 3, 12, 1, 8, -9, 4, 8],\n [13, 1, 1, 10, -2, 8, 2, -4, 2, -2],\n [6, -6, 6, 6, 9, -9, -4, 7, 0, -2],\n [-5, 1, 4, -8, 5, 4, 2, 0, 0, 4],\n [-4, -10, 0, 0, 11, 8, -2, -2, 4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186226330448", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[11, -1, 1, -2, 0, 0, 0, -9, 6, 1],\n [-1, -9, 4, -10, 8, 2, -3, 6, -11, 6],\n [1, 4, -5, 4, -6, -4, 0, -4, -12, -12],\n [-2, -10, 4, -5, -2, 6, 3, 2, -6, -10],\n [0, 8, -6, -2, -12, 4, 0, 4, 8, 8],\n [0, 2, -4, 6, 4, 2, -4, 9, 12, 0],\n [0, -3, 0, 3, 0, -4, -7, 4, 6, 10],\n [-9, 6, -4, 2, 4, 9, 4, 7, -3, 0],\n [6, -11, -12, -6, 8, 12, 6, -3, 4, 7],\n [1, 6, -12, -10, 8, 0, 10, 0, 7, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6749539372593", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-14, -2, 0, -2, -2, -9, 4, 4, 2, -4],\n [-2, -2, 0, -7, 0, 1, 8, -2, -8, 4],\n [0, 0, 10, -13, 2, -2, 4, 5, 0, -4],\n [-2, -7, -13, -10, 5, 4, 8, 4, 8, -8],\n [-2, 0, 2, 5, -7, 10, 9, -2, 6, -12],\n [-9, 1, -2, 4, 10, 5, -8, -1, -2, -2],\n [4, 8, 4, 8, 9, -8, -4, -12, -2, 3],\n [4, -2, 5, 4, -2, -1, -12, 5, -6, 2],\n [2, -8, 0, 8, 6, -2, -2, -6, 0, -7],\n [-4, 4, -4, -8, -12, -2, 3, 2, -7, 9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15322229160084", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 2) of the matrix A^7 where A is:\n[[1, 8, -1, -12, 4, -3, 4, 3, -1, 5],\n [8, -6, -12, 11, 8, -3, 5, 2, -10, -7],\n [4, 11, -11, 0, 4, 0, 11, -1, 1, 9],\n [-5, 9, -1, 5, -4, -13, 13, 4, -12, -11],\n [-4, -2, 3, 3, 4, -3, -14, 9, -9, -12],\n [2, -12, -14, -12, -11, -9, -8, 8, 10, -7],\n [-2, -11, -9, -4, -14, -7, 7, -13, -7, 5],\n [-6, -11, 2, -8, -5, -10, -5, 12, -3, 6],\n [5, -9, -14, -12, 12, 13, -8, -4, 9, -3],\n [-6, -14, -11, -13, -13, 2, 6, -13, -11, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7142162557", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 4, 9, 11, -2, 7, 11, 6, 3, 12],\n [14, 4, 9, 0, 13, -3, 10, -4, 12, 8],\n [-14, 1, 13, 13, -2, 14, -9, 8, 13, -9],\n [-5, 12, 14, -13, 14, 10, -12, -9, 1, -9],\n [9, -2, -11, 0, -9, -14, -6, -3, 10, 8],\n [-4, -2, -14, 4, 13, 6, -11, -10, 8, 10],\n [2, -10, 4, -12, -4, -13, 7, -1, -9, 4],\n [-14, -8, -13, 9, 4, -14, 11, -6, 6, 2],\n [-5, 12, -9, 11, -12, 12, 5, 9, 0, 6],\n [13, 7, 11, 5, -9, -12, -5, -3, -14, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87894309494", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[14, -2, 6, -10, 4, 8, 12, -8, 0, -7],\n [-2, -5, -2, -3, -2, -12, -10, -8, 4, -4],\n [6, -2, -13, -13, 2, -6, -3, -6, -5, 12],\n [-10, -3, -13, -11, 2, -4, -14, -8, 4, -2],\n [4, -2, 2, 2, -14, -4, 7, 1, 3, 2],\n [8, -12, -6, -4, -4, -2, 3, -12, -2, 2],\n [12, -10, -3, -14, 7, 3, 7, 8, 2, -4],\n [-8, -8, -6, -8, 1, -12, 8, -10, -3, -4],\n [0, 4, -5, 4, 3, -2, 2, -3, -3, 2],\n [-7, -4, 12, -2, 2, 2, -4, -4, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22445044043", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[14, -6, -14, 9, -12, -4, -8, 3, -2, 8],\n [8, 10, 3, 1, 9, 1, 6, -5, -6, -7],\n [4, -12, 12, 13, 11, 9, -6, -13, 4, -7],\n [3, -7, -10, -9, -5, 0, 13, -11, -12, 9],\n [-6, 1, 14, 1, 0, 9, -6, 2, 6, -3],\n [8, -7, -1, 12, 3, -3, 12, -1, 5, 8],\n [-10, -14, -2, -1, -13, 1, -10, 7, -14, -3],\n [4, 7, 7, 8, -5, -3, 4, 1, 2, -2],\n [-8, 13, 12, -12, -10, -11, 13, 0, 2, -3],\n [8, -1, 14, -11, 2, -4, -9, -11, -2, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83744463989", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[0, 3, 2, 4, -5, -10, -3, 10, 0, 8],\n [-11, -7, 13, 5, 7, 13, 2, -9, 1, 11],\n [-10, -1, -13, 2, 14, -9, -4, -13, 10, 10],\n [-14, -10, -7, -11, 4, -10, -10, 9, 1, 7],\n [3, -4, 2, 14, -12, 3, -11, 4, -6, -10],\n [-11, 1, -5, -6, 1, 5, 7, 11, 2, 14],\n [3, 0, 5, -6, -9, -9, -4, 10, 13, 5],\n [-12, 8, -3, 0, -8, 10, 7, 3, 7, 0],\n [-7, 7, -6, 0, 1, 5, -12, 12, -10, -12],\n [12, 13, -13, -13, -11, -12, -6, 8, 7, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9407783559", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-3, 9, -6, 4, -3, 1, 11, 8, 10, -14],\n [-5, 10, 8, -5, -11, 14, -4, 13, 7, -4],\n [-4, 7, -9, 0, -13, 6, 8, 7, -12, 12],\n [13, -10, 14, 9, -4, 6, -3, 11, -12, -6],\n [12, -12, -13, -9, 9, -9, 2, -7, -14, 10],\n [-7, 7, 0, 3, -2, 10, -7, 14, 5, 3],\n [-2, -1, 0, -9, -14, -8, -14, 0, 14, -9],\n [-10, -3, 11, -12, 7, 5, -1, 13, -9, -11],\n [0, 2, -10, 9, -9, -5, -6, -11, 11, -6],\n [-7, -12, 7, 5, -14, 10, 5, 12, -10, -12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13328805677", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 4, 10, -2, 8, -4, 3, 4, 2, 9],\n [4, -1, -6, -8, -2, -2, -8, 2, -10, -6],\n [10, -6, 7, 0, -8, -1, -8, 2, -5, 0],\n [-2, -8, 0, -13, -6, -7, -10, 6, 0, 11],\n [8, -2, -8, -6, -4, -4, 8, -2, -6, 8],\n [-4, -2, -1, -7, -4, -2, 2, 0, 3, -1],\n [3, -8, -8, -10, 8, 2, 7, 1, 0, 4],\n [4, 2, 2, 6, -2, 0, 1, 7, 9, 2],\n [2, -10, -5, 0, -6, 3, 0, 9, 8, 2],\n [9, -6, 0, 11, 8, -1, 4, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270444404507", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 4) of the 7th power of the matrix:\n[[1, -2, -4, 0, 14, 1, -9, 12, 11, -4],\n [0, -10, -12, 11, -13, -14, 0, -13, 13, 14],\n [5, -9, -3, 6, 1, -1, -11, -7, -3, 8],\n [-1, 5, 11, -2, 14, -10, -3, -5, 6, 4],\n [-2, -6, -4, -10, 13, -2, -5, 3, 14, 0],\n [5, -3, -11, -10, -7, -10, -14, 3, 4, 4],\n [-5, 7, -6, 11, -14, 7, 10, 5, 11, -12],\n [-2, -9, -9, 14, 3, -10, 2, 14, 10, 10],\n [-12, -10, -12, 8, -2, 0, 2, 0, -10, 7],\n [-1, -4, 13, -1, -8, -12, 8, 5, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253308437", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-9, -10, 6, -2, 5, -3, 6, -4, -2, 11],\n [-10, 10, -2, 10, 8, -8, -8, 12, 4, -4],\n [6, -2, 9, 0, 2, 3, 2, -1, 4, 10],\n [-2, 10, 0, 14, -1, -4, -2, -2, -9, 6],\n [5, 8, 2, -1, -12, -7, 1, -6, 11, 6],\n [-3, -8, 3, -4, -7, -8, -10, -4, 0, -5],\n [6, -8, 2, -2, 1, -10, -10, -4, 9, -9],\n [-4, 12, -1, -2, -6, -4, -4, -5, 4, 0],\n [-2, 4, 4, -9, 11, 0, 9, 4, 3, -6],\n [11, -4, 10, 6, 6, -5, -9, 0, -6, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2309509961", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (8, 5) of the result:\nA =\n[[7, 1, 8, 12, 12, 10, 8, -4, 8, 0],\n [1, -3, 3, -10, 4, 6, -4, 0, 11, 0],\n [8, 3, 4, -7, -6, -6, 3, 7, -9, 0],\n [12, -10, -7, -6, -10, 2, 2, 5, 2, 0],\n [12, 4, -6, -10, -5, -2, -4, -5, -6, -9],\n [10, 6, -6, 2, -2, -6, 6, -4, -1, -11],\n [8, -4, 3, 2, -4, 6, 8, 10, -8, -6],\n [-4, 0, 7, 5, -5, -4, 10, -2, 8, -12],\n [8, 11, -9, 2, -6, -1, -8, 8, 4, -7],\n [0, 0, 0, 0, -9, -11, -6, -12, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168948578803", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 0, 11, -4, -4, -2, -3, -9, 14, 8],\n [5, 4, 4, 12, -12, 1, -6, 12, 12, -1],\n [13, -12, -12, 9, 5, -8, 4, 9, -12, 6],\n [-14, -3, 6, -9, -8, -13, 3, 10, 0, 0],\n [-5, 2, 3, 3, 14, 0, 11, 8, -9, -6],\n [-4, 0, 8, -12, 4, -14, 9, 2, -4, 3],\n [-4, 13, -8, -14, -3, -11, 10, -7, 0, -4],\n [14, -7, -3, -12, 6, -11, 12, -3, -7, 12],\n [8, 8, -5, 11, 8, -14, -2, -8, 5, 13],\n [-12, 14, 1, -3, 14, -10, 3, -7, -3, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5653654703", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[10, -4, -2, 0, -4, 4, 2, -4, -10, 0],\n [-4, 12, 0, -4, 12, -6, -6, 0, 9, 6],\n [-2, 0, -2, -2, 2, -4, -8, 4, -8, 10],\n [0, -4, -2, 9, 4, -4, -7, 2, -8, -2],\n [-4, 12, 2, 4, 11, -2, 4, 9, -8, 4],\n [4, -6, -4, -4, -2, 7, 4, 9, -2, -4],\n [2, -6, -8, -7, 4, 4, -13, -1, 2, -14],\n [-4, 0, 4, 2, 9, 9, -1, 6, 8, -4],\n [-10, 9, -8, -8, -8, -2, 2, 8, -3, -10],\n [0, 6, 10, -2, 4, -4, -14, -4, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319907293975", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 4) of the matrix A^6 where A is:\n[[13, 10, -2, 7, -1, -2, -4, 6, 4, -6],\n [10, 0, -4, 10, 0, 12, -8, 0, -2, 4],\n [-2, -4, 6, -3, 0, 0, -6, 0, -14, 4],\n [7, 10, -3, 13, 0, -12, 0, 8, 2, 4],\n [-1, 0, 0, 0, 11, 4, 5, 6, 0, 9],\n [-2, 12, 0, -12, 4, -5, -7, 0, -3, 1],\n [-4, -8, -6, 0, 5, -7, 11, -5, 2, -7],\n [6, 0, 0, 8, 6, 0, -5, -1, -12, -2],\n [4, -2, -14, 2, 0, -3, 2, -12, 14, 6],\n [-6, 4, 4, 4, 9, 1, -7, -2, 6, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115041564", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, 12, -1, 10, -4, 0, 4, 3, 2, -8],\n [12, -2, 0, -10, 1, 9, -11, -9, 8, -6],\n [-1, 0, 0, 0, 0, 4, 4, -12, -12, -2],\n [10, -10, 0, -11, 2, 4, 2, -1, -13, -6],\n [-4, 1, 0, 2, 3, -3, -2, -9, 6, -4],\n [0, 9, 4, 4, -3, -11, 4, -6, 2, 2],\n [4, -11, 4, 2, -2, 4, 11, 2, -10, -1],\n [3, -9, -12, -1, -9, -6, 2, -13, -14, 0],\n [2, 8, -12, -13, 6, 2, -10, -14, 10, 4],\n [-8, -6, -2, -6, -4, 2, -1, 0, 4, -10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30337895110", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 2) of the 8th power of the matrix:\n[[4, 5, -10, 6, 5, 6, -14, 9, 6, 10],\n [5, -14, 5, -2, -5, 4, 12, -5, -2, -10],\n [-10, 5, -2, -6, -8, -6, -7, -3, 5, -2],\n [6, -2, -6, 1, -11, -4, 4, 6, 1, -9],\n [5, -5, -8, -11, -5, -2, -11, 0, -6, 4],\n [6, 4, -6, -4, -2, 5, -2, 8, -4, -14],\n [-14, 12, -7, 4, -11, -2, 1, -4, 2, -1],\n [9, -5, -3, 6, 0, 8, -4, 12, 2, -2],\n [6, -2, 5, 1, -6, -4, 2, 2, -1, 0],\n [10, -10, -2, -9, 4, -14, -1, -2, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106093402381", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-5, -3, 7, 4, -9, -1, -12, -5, -6, 8],\n [14, 5, 4, 7, 0, -6, 4, -7, 7, -11],\n [-10, 4, -1, 3, 10, 14, 4, -9, -10, 11],\n [-4, 9, -10, 12, -7, 12, -10, -4, 11, -2],\n [-9, -10, 3, 11, -5, 1, 7, -1, 8, 0],\n [-12, -12, -3, 8, 0, -4, -5, 5, 0, 3],\n [10, -1, 14, 10, -9, -1, 1, -13, 4, -10],\n [-4, -4, 6, 14, 10, 11, 4, 3, 11, -7],\n [8, -3, -6, -12, -9, 6, 6, 11, 9, -14],\n [2, -12, 12, 3, 3, -13, -11, -14, -5, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321282146073", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-10, -12, 2, -4, -1, 0, 5, 9, 3, 4],\n [-12, 2, 8, -6, -1, -4, -1, -4, 8, 12],\n [2, 8, 3, 0, 4, 3, -6, 8, -12, 4],\n [-4, -6, 0, 1, -5, 2, 10, 11, -5, -3],\n [-1, -1, 4, -5, -4, -9, -8, -4, 1, 3],\n [0, -4, 3, 2, -9, 0, -3, 0, -4, 6],\n [5, -1, -6, 10, -8, -3, 12, 1, 9, -2],\n [9, -4, 8, 11, -4, 0, 1, -4, -8, 0],\n [3, 8, -12, -5, 1, -4, 9, -8, 13, 5],\n [4, 12, 4, -3, 3, 6, -2, 0, 5, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "537570457", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-12, -9, 11, 3, 7, 13, -10, 1, -2, -12],\n [0, 8, 12, 5, 12, -9, 10, 13, 7, -11],\n [0, 11, 3, -6, 5, -11, 1, 3, -10, -2],\n [-9, 11, 7, 4, -3, 0, -6, -8, 14, -1],\n [4, 5, 1, 8, 12, 9, 7, -11, -3, 3],\n [11, -7, 2, 10, 9, -12, 11, -11, -5, 1],\n [5, -13, -3, 1, 12, -5, -10, 14, -3, -12],\n [-3, 12, -14, -13, -4, -3, -8, -14, 13, -2],\n [-2, -13, -5, 8, -14, -8, -2, 9, 12, 14],\n [-13, 5, -8, 2, 7, -10, -4, 7, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2330927505", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 3) of the 7th power of the matrix:\n[[-4, 0, 2, 1, 14, 6, 6, -5, 8, 1],\n [0, -5, 10, 0, -8, -4, 0, 0, 4, 14],\n [2, 10, 3, 2, 0, 6, -7, 2, -4, -5],\n [1, 0, 2, 13, -2, -2, -4, 1, 8, -4],\n [14, -8, 0, -2, 12, -2, 3, -4, -8, -12],\n [6, -4, 6, -2, -2, 11, 4, 3, -1, 6],\n [6, 0, -7, -4, 3, 4, 4, -4, 0, 4],\n [-5, 0, 2, 1, -4, 3, -4, -13, -10, 0],\n [8, 4, -4, 8, -8, -1, 0, -10, -3, 1],\n [1, 14, -5, -4, -12, 6, 4, 0, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-535343409", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-7, 12, 6, 4, -11, 9, 9, -8, -1, 0],\n [12, -7, 4, 6, 0, -8, -3, -3, 2, 12],\n [6, 4, -1, 2, -2, 3, 8, 8, -4, 5],\n [4, 6, 2, 12, 1, -4, 2, 0, 2, 2],\n [-11, 0, -2, 1, 14, 4, -10, -4, 8, 6],\n [9, -8, 3, -4, 4, -12, 2, -2, 3, -10],\n [9, -3, 8, 2, -10, 2, -10, -6, -4, 2],\n [-8, -3, 8, 0, -4, -2, -6, -2, 3, -4],\n [-1, 2, -4, 2, 8, 3, -4, 3, 11, 4],\n [0, 12, 5, 2, 6, -10, 2, -4, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8076308521584", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 10) of the matrix A^8 where A is:\n[[-9, 3, 4, 3, -3, 8, -8, 2, 3, 5],\n [3, -7, -6, -11, 5, -4, 5, 3, 1, -6],\n [4, -6, 1, 0, 2, 6, -10, -2, -8, -10],\n [3, -11, 0, 0, -2, -12, -3, 6, -2, -9],\n [-3, 5, 2, -2, -12, 3, 1, 5, 2, -2],\n [8, -4, 6, -12, 3, 4, -2, -3, -6, -7],\n [-8, 5, -10, -3, 1, -2, 8, 2, 0, -6],\n [2, 3, -2, 6, 5, -3, 2, -3, -8, -2],\n [3, 1, -8, -2, 2, -6, 0, -8, 8, 8],\n [5, -6, -10, -9, -2, -7, -6, -2, 8, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165452030101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (5, 8) of the result:\nA =\n[[-1, 0, 12, 3, -2, -2, 4, -3, 0, 8],\n [0, 11, -7, 3, 2, 4, 14, -10, 4, -3],\n [12, -7, -14, -4, -10, -10, 4, 6, 8, 0],\n [3, 3, -4, -10, 8, 2, 0, 2, 2, 2],\n [-2, 2, -10, 8, -13, -9, 0, 2, 6, 0],\n [-2, 4, -10, 2, -9, -5, 1, 2, 8, 10],\n [4, 14, 4, 0, 0, 1, 6, -1, 0, 10],\n [-3, -10, 6, 2, 2, 2, -1, 5, 0, 2],\n [0, 4, 8, 2, 6, 8, 0, 0, 7, 9],\n [8, -3, 0, 2, 0, 10, 10, 2, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234176030376", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 7) of the matrix A^7 where A is:\n[[-6, -2, 0, -8, 5, 13, -6, -3, -2, 10],\n [-2, 8, -1, 4, -9, 10, 2, 8, 8, -5],\n [0, -1, -7, -2, -4, -6, 3, 0, -2, 10],\n [-8, 4, -2, -14, -1, 0, 2, 4, -4, 6],\n [5, -9, -4, -1, 6, 0, 6, -13, 4, 4],\n [13, 10, -6, 0, 0, -11, 6, -8, 2, 0],\n [-6, 2, 3, 2, 6, 6, -8, 6, -4, -10],\n [-3, 8, 0, 4, -13, -8, 6, 1, 6, -9],\n [-2, 8, -2, -4, 4, 2, -4, 6, -10, -2],\n [10, -5, 10, 6, 4, 0, -10, -9, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2163326335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[9, 0, -4, 9, -4, -3, 4, 2, 14, -9],\n [6, -7, 0, 7, 5, 11, -5, 13, 0, -3],\n [-4, 3, 9, -10, -3, 9, -10, 7, 14, -5],\n [-1, 1, -10, -4, 4, 11, -7, 4, 5, 7],\n [3, 8, 6, -3, 11, -2, 6, 6, 14, 14],\n [3, 12, 14, 0, 0, -3, 11, -6, 4, -3],\n [8, -10, 11, 11, 6, 5, -5, 7, -8, 8],\n [-4, 13, -7, 6, -8, 1, 13, 1, -1, 0],\n [5, -6, 1, 1, -10, -12, 6, 10, -2, 14],\n [12, -7, 2, -10, -9, 14, 11, 14, 12, -13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12532683323883", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[7, -1, 10, -11, -12, -6, 3, -3, -6, 12],\n [11, 12, 12, 3, -2, 12, -1, -5, -12, 14],\n [-8, 3, 1, 2, 10, -9, 10, -3, 4, -12],\n [11, 13, -12, 3, 14, -4, -9, 4, -10, -2],\n [12, -10, 11, -12, 4, 2, 7, -12, 0, 2],\n [-2, -1, 14, 11, 1, 10, -4, 2, -10, 6],\n [0, 3, 1, -1, -1, -2, -14, -9, 8, -4],\n [-4, 10, 1, 9, 11, -12, 10, 2, 14, 7],\n [14, -1, 11, -13, 11, 10, -6, -7, 14, -4],\n [-8, 7, -13, -11, 11, 8, -1, -2, 7, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-663169901995", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 7) of the 8th power of the matrix:\n[[-2, -2, -10, 13, -3, -9, 11, 7, -1, -7],\n [9, 7, -7, -8, 2, 6, -4, 11, -5, -2],\n [-5, 6, 11, -1, -6, -8, -8, 11, 3, 1],\n [-7, 1, 4, 0, 10, 0, -9, -6, 0, 10],\n [-8, 11, 13, -7, 3, 6, 1, 0, -12, -14],\n [-2, 7, 14, -3, -6, -13, -6, -7, 12, 10],\n [-10, -2, -13, -5, 11, -9, -8, -12, -1, 1],\n [-9, 7, -7, -14, 5, 0, 2, 9, 3, 9],\n [-12, 9, -9, 2, 8, -2, 8, 7, 2, 6],\n [1, 2, -14, 1, -9, -7, -14, -13, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13195442598", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (2, 4) of the result:\nA =\n[[9, 12, 5, 0, 6, -5, -10, -12, -9, 6],\n [0, 3, -1, -5, -11, -4, 5, -8, 0, 8],\n [-6, 0, 11, -3, 3, -9, 3, 10, 3, 7],\n [9, -9, 13, 0, 4, -10, -11, 2, 6, -5],\n [-3, -10, -8, -3, 8, -13, 5, 2, -2, -10],\n [-10, 5, 11, -3, -3, -8, -9, 14, -5, 4],\n [1, -13, -11, -6, 11, -10, -14, -4, 4, 10],\n [8, -12, -14, -11, -6, 13, 1, -8, -10, -2],\n [-4, -1, 7, 2, 8, -3, 6, 8, 6, 6],\n [4, -10, 9, -7, -13, 12, 2, -13, 12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47988053", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-12, 8, 10, 10, 3, 2, 8, 14, 6, -10],\n [8, 2, 2, -8, 5, -7, -8, -4, -6, -11],\n [10, 2, -4, 8, -4, 1, 0, -2, -4, -8],\n [10, -8, 8, 4, 0, 0, 7, -9, -9, 12],\n [3, 5, -4, 0, -5, 6, 0, 0, -3, -6],\n [2, -7, 1, 0, 6, 1, -9, -2, 2, 0],\n [8, -8, 0, 7, 0, -9, 12, -1, 0, -4],\n [14, -4, -2, -9, 0, -2, -1, -7, 10, -11],\n [6, -6, -4, -9, -3, 2, 0, 10, -1, -7],\n [-10, -11, -8, 12, -6, 0, -4, -11, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "585419199616", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[5, -7, -4, 8, 5, -2, 4, -6, 4, 4],\n [-7, -14, -8, -4, 4, 0, -8, -4, 4, 11],\n [-4, -8, -10, -6, 0, 4, 0, 3, -2, -5],\n [8, -4, -6, 11, -2, 5, 2, -10, 2, 5],\n [5, 4, 0, -2, -6, -6, -6, -4, 9, -3],\n [-2, 0, 4, 5, -6, -3, -8, 0, -1, 4],\n [4, -8, 0, 2, -6, -8, 6, -4, 2, 8],\n [-6, -4, 3, -10, -4, 0, -4, 0, -2, 0],\n [4, 4, -2, 2, 9, -1, 2, -2, 10, -3],\n [4, 11, -5, 5, -3, 4, 8, 0, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1993991463248", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 8th power of the matrix:\n[[9, -10, 3, 3, -4, 12, 2, 3, 3, -4],\n [-10, 12, 7, -8, -10, 10, 3, 2, 0, -10],\n [3, 7, 11, 2, 0, -6, 2, -6, -4, 6],\n [3, -8, 2, 10, 8, -1, 5, -2, -4, -4],\n [-4, -10, 0, 8, 9, -2, 0, 0, 12, 4],\n [12, 10, -6, -1, -2, 8, -2, -1, -3, 14],\n [2, 3, 2, 5, 0, -2, 12, 2, 10, -6],\n [3, 2, -6, -2, 0, -1, 2, 10, 0, 0],\n [3, 0, -4, -4, 12, -3, 10, 0, 7, -4],\n [-4, -10, 6, -4, 4, 14, -6, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79453753396", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[12, -4, 2, 8, 2, 2, 9, -2, 0, -2],\n [-4, 13, 0, -4, -4, 11, -2, -2, -5, 1],\n [2, 0, 11, 8, 3, 4, 7, -6, 2, 2],\n [8, -4, 8, -2, -4, 6, 9, 4, -6, -1],\n [2, -4, 3, -4, -2, -4, 2, 1, 2, -6],\n [2, 11, 4, 6, -4, 8, 2, 0, 6, -4],\n [9, -2, 7, 9, 2, 2, -9, -2, 6, 3],\n [-2, -2, -6, 4, 1, 0, -2, -5, 6, 4],\n [0, -5, 2, -6, 2, 6, 6, 6, -3, 0],\n [-2, 1, 2, -1, -6, -4, 3, 4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3206094447573", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[4, -8, 1, 6, 10, 4, 2, -6, 5, 2],\n [-8, -13, -2, -10, 2, -3, 6, 8, -10, -6],\n [1, -2, 10, 0, 8, 5, 10, -10, 0, -6],\n [6, -10, 0, -13, 14, -7, -6, 4, 11, -4],\n [10, 2, 8, 14, 13, 6, 2, -1, 10, 0],\n [4, -3, 5, -7, 6, -13, 10, -2, 0, 10],\n [2, 6, 10, -6, 2, 10, -8, 8, 2, 4],\n [-6, 8, -10, 4, -1, -2, 8, -11, 6, -2],\n [5, -10, 0, 11, 10, 0, 2, 6, -12, -10],\n [2, -6, -6, -4, 0, 10, 4, -2, -10, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20810886414", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-7, 7, 2, 4, 0, -9, 6, 10, 4, 6],\n [7, 9, -6, 6, -3, -4, 1, 9, -2, 0],\n [2, -6, -1, 3, -8, 9, -7, -9, 8, 3],\n [4, 6, 3, 8, 4, 4, -3, -1, 4, -2],\n [0, -3, -8, 4, -10, -10, 4, 4, -2, -2],\n [-9, -4, 9, 4, -10, 0, 0, 6, 4, -1],\n [6, 1, -7, -3, 4, 0, -12, 3, 2, 10],\n [10, 9, -9, -1, 4, 6, 3, -7, 2, -1],\n [4, -2, 8, 4, -2, 4, 2, 2, 3, -11],\n [6, 0, 3, -2, -2, -1, 10, -1, -11, 1]], determine the value at position (5, 10).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36642387721", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-10, 10, 10, -8, -6, -11, 4, 12, 5, 0],\n [-8, 9, 3, -10, 6, 14, 10, 14, 14, -2],\n [-12, 13, -9, 11, -3, 6, 3, 3, -11, 13],\n [5, 8, -1, 13, -1, -14, -4, 7, 12, 14],\n [-6, 3, 13, -10, -5, 0, 12, -5, 1, -11],\n [-11, -7, -9, 8, -4, 13, 10, -2, 4, -4],\n [-13, -12, 0, 9, -2, 10, -5, -10, 9, -4],\n [8, 13, -1, 13, 14, 10, 5, 0, -2, 11],\n [-12, -6, -7, 0, 8, -14, -13, -6, 6, 2],\n [-6, -14, -7, -10, -4, 13, -9, 2, 3, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15991521608", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[3, -10, 12, 10, -10, 13, 4, 12, -2, 7],\n [-8, 11, -1, 12, 11, 12, -7, -12, 12, -11],\n [-5, -11, 3, 8, -3, 5, 5, 0, -2, -3],\n [-7, 7, 7, 12, -6, 5, -6, 2, 12, 10],\n [-14, 8, -9, -8, -6, -5, -11, 1, -3, -6],\n [-12, 11, 12, 12, -6, 14, 2, -1, -10, 11],\n [6, -14, -14, -12, -6, 8, -9, -6, -11, 5],\n [4, -10, -10, 13, -1, -5, 8, 1, 8, -9],\n [5, 8, -1, 3, 14, 13, -6, -8, 3, -5],\n [-13, -2, -9, 12, 8, -6, 5, -7, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1071801440009", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, 4, -3, 2, 2, 6, -4, -2, -4, 4],\n [4, 14, -1, -4, 4, 1, -10, -6, 9, 3],\n [-3, -1, -5, 3, 3, -8, -2, 4, -8, 1],\n [2, -4, 3, -9, 6, 0, -6, 2, 0, 2],\n [2, 4, 3, 6, 14, -2, 0, 8, 6, -8],\n [6, 1, -8, 0, -2, -6, -9, 0, 8, 0],\n [-4, -10, -2, -6, 0, -9, -3, -12, -12, 0],\n [-2, -6, 4, 2, 8, 0, -12, 10, 7, 7],\n [-4, 9, -8, 0, 6, 8, -12, 7, -11, -6],\n [4, 3, 1, 2, -8, 0, 0, 7, -6, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253589109595", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-2, 6, 4, 2, 2, 10, -7, 5, -10, 2],\n [6, 9, 2, 0, 7, -6, -1, 10, -4, 8],\n [4, 2, -3, -4, 8, -3, -12, 4, -6, -6],\n [2, 0, -4, -5, 8, 0, -2, 6, 4, -12],\n [2, 7, 8, 8, -2, -6, -8, 8, 5, 14],\n [10, -6, -3, 0, -6, 9, 8, -6, 0, -3],\n [-7, -1, -12, -2, -8, 8, 10, 10, 0, 0],\n [5, 10, 4, 6, 8, -6, 10, -6, -12, 8],\n [-10, -4, -6, 4, 5, 0, 0, -12, -14, 10],\n [2, 8, -6, -12, 14, -3, 0, 8, 10, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112692966100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-14, 1, 4, -2, 2, -4, 8, 4, 8, -6],\n [1, -4, -1, -8, 4, 1, 4, 0, 2, -9],\n [4, -1, 0, -7, 8, -8, -12, -6, -8, 5],\n [-2, -8, -7, -1, 5, 3, -2, 7, -2, 0],\n [2, 4, 8, 5, 13, 4, 10, 2, -4, 4],\n [-4, 1, -8, 3, 4, 1, 0, 3, -9, -7],\n [8, 4, -12, -2, 10, 0, -12, -12, 0, -2],\n [4, 0, -6, 7, 2, 3, -12, -12, 2, -3],\n [8, 2, -8, -2, -4, -9, 0, 2, 7, 0],\n [-6, -9, 5, 0, 4, -7, -2, -3, 0, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110710100094", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[5, -13, 5, 11, 12, 3, -5, 9, 11, 6],\n [14, -8, 12, 5, 11, 7, 14, 13, -1, -5],\n [5, 1, -9, 2, -9, 7, 3, 13, -5, -5],\n [-6, 7, 13, 0, -4, 14, -8, 3, -13, -13],\n [11, -2, -4, 10, 4, 14, 5, -14, 2, 5],\n [3, -7, -2, -11, 4, -12, -9, 13, 14, -9],\n [7, -9, 9, -7, 10, 2, -5, 9, -10, 4],\n [-4, -5, -12, 7, 9, -5, -13, 13, -6, -10],\n [6, 2, -9, 14, -4, 12, -10, -8, -8, -11],\n [6, -5, 9, 3, -14, -1, -9, -4, -1, 5]], determine the value at position (2, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-701771880", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[14, 4, -8, 4, 2, -10, 0, 8, 4, 0],\n [4, -3, -9, 2, -1, 0, -6, 0, 12, 8],\n [-8, -9, 9, 10, -1, -6, 5, 6, 4, 4],\n [4, 2, 10, 3, -4, 7, -2, 7, -6, 6],\n [2, -1, -1, -4, 2, -6, 6, -10, 1, 2],\n [-10, 0, -6, 7, -6, 1, 2, 0, 1, 12],\n [0, -6, 5, -2, 6, 2, 5, -14, 4, 4],\n [8, 0, 6, 7, -10, 0, -14, -12, 10, 4],\n [4, 12, 4, -6, 1, 1, 4, 10, -2, -2],\n [0, 8, 4, 6, 2, 12, 4, 4, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12121572123124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[2, 13, 7, -2, 1, 5, 5, 2, -10, -6],\n [7, 9, 12, -11, -6, 1, -8, -1, -1, -8],\n [9, 1, 3, 13, -9, -8, 4, -7, -14, 2],\n [11, 4, 7, -8, 3, -9, 13, 6, -9, -14],\n [-5, 8, -7, -8, -6, -14, 11, 10, -4, 12],\n [14, -12, 3, -9, -4, -10, 5, -11, -7, -5],\n [14, -12, -2, 2, -10, -7, 4, 3, -14, 14],\n [-11, 12, 3, -1, 9, -4, 14, 11, 13, -6],\n [-2, 11, 2, 0, -13, -9, 14, 11, 13, -8],\n [-13, 9, -2, -5, 1, -6, -7, 10, 0, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7780443690713", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 4) of the 6th power of the matrix:\n[[12, -8, 7, 8, 4, -11, -6, 4, -13, 13],\n [14, 12, -8, 7, 4, -9, 0, -8, -9, -14],\n [13, -1, -14, 10, -9, 13, 3, 12, 2, 12],\n [13, -13, -7, 6, 8, 8, -13, 1, -11, -13],\n [8, -10, 2, -13, 7, -1, 5, -8, 0, 3],\n [-2, -3, -13, -3, -9, 9, 14, -14, 6, -14],\n [0, 12, 1, 7, -8, 7, -1, 14, 10, 4],\n [9, 4, 12, 13, 14, 14, 8, -2, 6, -3],\n [14, -14, 12, -3, -11, 14, 12, 0, 10, 1],\n [0, -7, 4, 0, 3, -4, -6, -14, -6, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49230954", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (4, 4) of the result:\nA =\n[[8, -3, -13, -4, 6, -1, -13, 0, 6, 8],\n [6, 3, 12, -1, 6, 13, -3, -5, -1, 7],\n [0, -10, -13, 7, -9, -3, -13, 14, 14, -11],\n [-8, 1, -14, -14, -1, -4, -3, -4, -9, 8],\n [-3, 6, -3, -5, -7, 12, 5, 4, -8, -1],\n [-11, -14, 12, -7, -10, 14, -7, -7, 13, 6],\n [9, -8, 14, 4, -11, 12, 13, 14, 8, 5],\n [-9, -3, 3, -3, 3, -12, -5, -8, -12, 13],\n [4, -2, -11, -5, -9, -14, -9, -7, 13, 0],\n [-7, 7, -9, 14, 4, -1, -13, -8, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172606961512", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-2, 7, 6, 5, -14, -6, 12, -5, 5, -13],\n [5, 14, -4, -10, 3, -8, -12, 1, 0, -7],\n [5, 13, 12, -10, -12, 14, 12, -10, -6, 12],\n [1, 14, -1, 3, -8, 0, 11, -7, -12, -4],\n [5, 14, 12, 11, 3, 0, -5, 14, 10, -12],\n [0, 10, 14, 8, -9, -4, 13, -4, 4, 12],\n [8, 12, -12, -2, 12, 7, -7, 6, -4, -4],\n [-2, -12, -9, 9, -5, 4, -3, 14, -1, -4],\n [12, 6, 10, 11, -5, -12, -2, 13, 12, 3],\n [12, -2, 9, -1, -1, -8, -3, 10, -11, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130665074540", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[4, -5, 1, -10, 12, 1, -14, -10, -2, -2],\n [-12, 2, 4, -10, -10, 0, -5, -3, 9, -4],\n [-14, 8, 6, -12, -11, 4, 9, 5, -12, 3],\n [-12, -8, 7, 11, 13, 14, 6, 9, 12, -14],\n [4, 3, -13, 13, 12, -3, 2, 6, 6, -12],\n [-3, 13, 10, -3, -9, -5, 7, 11, -9, -1],\n [-13, -4, 0, 11, 11, -7, 7, -2, 4, -5],\n [-6, 3, -8, -12, -3, 0, 7, 6, -2, -9],\n [-7, -1, -12, 1, 3, 9, 2, 3, -5, 2],\n [1, 6, 9, -13, 5, -11, -4, 12, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3527757166851", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 8) of the 7th power of the matrix:\n[[10, 4, -9, -5, 6, -11, 10, 12, 13, 10],\n [-14, -8, 11, 10, 6, 1, 2, 9, -10, 7],\n [8, -5, -8, -2, 13, -8, 0, 2, 8, 12],\n [-12, -10, -5, -10, 9, -8, -8, 7, 8, -1],\n [8, 0, -10, -10, -11, 5, 6, 11, -6, 12],\n [-3, 1, 7, -7, -6, -3, 5, 13, 14, -8],\n [6, -11, 13, 8, -12, -14, -8, -6, -13, -8],\n [-5, -13, -2, 14, -12, -2, -5, -3, 11, -12],\n [13, 14, 5, -9, -12, 14, 10, -13, 8, 7],\n [-1, 0, 3, 12, 4, 7, -5, 5, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2555734286", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 8, -4, -2, 8, 6, -3, 4, -6],\n [3, -5, 4, 0, -6, 12, 12, -4, -10, -10],\n [8, 4, 14, 2, -1, -6, 5, -2, 6, -7],\n [-4, 0, 2, -2, 2, -6, -10, 10, -4, 5],\n [-2, -6, -1, 2, 11, 10, 2, 4, 2, 2],\n [8, 12, -6, -6, 10, 4, 3, -6, 0, 2],\n [6, 12, 5, -10, 2, 3, -14, -4, -4, 12],\n [-3, -4, -2, 10, 4, -6, -4, -6, 2, 4],\n [4, -10, 6, -4, 2, 0, -4, 2, -1, -6],\n [-6, -10, -7, 5, 2, 2, 12, 4, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "744627305827", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (4, 9) of the result:\nA =\n[[5, -3, -11, 6, -9, -4, 8, 7, -8, 10],\n [-11, 11, 0, -14, -6, 8, 5, 11, -7, -3],\n [-8, 13, 3, -14, -6, -8, -1, 11, -14, -2],\n [5, 0, -10, -10, -1, -1, -1, -10, -4, 4],\n [-10, -11, 0, 6, -8, -10, 0, -1, 9, 9],\n [-12, -10, -3, 5, -1, -10, 9, -11, 6, 1],\n [-8, -12, 14, 7, 10, 12, -11, 5, 7, -9],\n [-12, -14, -12, 9, -7, 1, 7, -8, 3, -6],\n [-12, 3, 1, 6, -14, 6, 11, 5, 1, -3],\n [-9, 13, 6, -6, 6, -2, 9, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18263526011", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, 4, 4, -9, 1, -8, -8, 13, 8, 13],\n [4, 1, 2, 7, 4, 1, 14, 1, 4, 0],\n [-12, 0, 10, 13, 1, 5, -10, 4, -5, -2],\n [0, -3, 2, 0, 13, -11, 0, 2, 12, -4],\n [8, 8, 0, 5, 6, 11, -8, -2, 7, -2],\n [5, 5, -13, -5, 3, 13, 5, -10, 5, 4],\n [12, -13, -11, 1, 12, 6, 1, 2, 0, -2],\n [-14, 7, -10, 12, 5, -14, -3, 8, 0, -11],\n [4, 1, 8, 3, 11, 2, -4, 5, -2, 9],\n [14, 7, -6, 2, 2, 12, -10, 7, -7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23094851337", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, -8, -1, -1, 10, 10, -5, -8, 6, 12],\n [-8, 0, -8, -2, -7, 8, 9, 6, 6, 4],\n [-1, -8, 10, 4, 10, -6, 6, -10, -10, 2],\n [-1, -2, 4, -13, 4, 4, -1, 10, 4, -7],\n [10, -7, 10, 4, 1, 6, 0, -6, -2, -10],\n [10, 8, -6, 4, 6, -3, -8, -8, 0, -6],\n [-5, 9, 6, -1, 0, -8, 12, 0, -3, 6],\n [-8, 6, -10, 10, -6, -8, 0, 10, 13, 0],\n [6, 6, -10, 4, -2, 0, -3, 13, -7, -7],\n [12, 4, 2, -7, -10, -6, 6, 0, -7, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5418901843", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[13, -9, -7, 10, 0, 5, -14, -10, 1, 6],\n [10, -9, 6, -5, -5, -10, -7, 12, -14, -10],\n [-14, -8, 0, 8, 14, 11, 9, -1, 8, 12],\n [-6, -7, -7, -12, 11, 5, -11, 2, -9, -13],\n [-6, -1, -14, 2, -4, 14, 11, 12, -9, 14],\n [-14, 13, 4, 1, 11, 3, 14, -4, -6, 6],\n [-9, -13, -7, 7, 1, 12, 13, -7, -7, -1],\n [-14, -8, -13, 0, 12, 9, 13, 3, -11, 3],\n [14, 8, -10, 14, 12, 1, -2, 12, -6, -10],\n [12, -7, 3, -12, -9, -4, 8, -1, 11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10912723262", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, -7, 8, 2, -7, -4, 0, 6, -4, 7],\n [-7, 4, 3, -6, 0, -2, -5, -11, -2, 0],\n [8, 3, 13, 6, 10, -2, 10, 8, -11, -4],\n [2, -6, 6, 7, -3, -11, 4, 2, -6, 10],\n [-7, 0, 10, -3, 2, -2, -2, -4, -3, 2],\n [-4, -2, -2, -11, -2, -12, 0, -2, 2, -5],\n [0, -5, 10, 4, -2, 0, 5, 9, 4, 8],\n [6, -11, 8, 2, -4, -2, 9, 3, -8, 12],\n [-4, -2, -11, -6, -3, 2, 4, -8, 10, -3],\n [7, 0, -4, 10, 2, -5, 8, 12, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2524814384262", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[8, 14, -8, -7, -11, -12, -12, -5, 9, 13],\n [0, -2, 4, -7, 3, -10, 6, -8, -10, 10],\n [4, 10, 2, 4, -11, 7, 11, 9, -8, 9],\n [7, -9, -1, 7, 4, 11, 5, -4, 7, 14],\n [-8, -12, 5, 7, 2, -4, 0, -8, 14, 0],\n [12, 2, -4, 14, 13, 14, -3, -2, 11, -4],\n [-4, 10, 11, -6, -4, 10, -11, -13, 8, 14],\n [-11, -1, -10, 2, 12, -3, 11, 14, -9, -3],\n [0, 8, 4, -5, -13, 14, -3, -3, 11, -8],\n [-14, 3, -12, 5, -10, 5, 0, -5, 4, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8369328124914", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-8, 13, 11, 7, 3, -13, 4, 9, 9, -5],\n [0, -5, 11, 13, -5, 12, -3, -7, 8, -1],\n [-13, 2, -9, 12, -7, -14, -12, 0, 2, 11],\n [10, -8, -1, 9, 10, -12, 11, 12, 3, 7],\n [-10, 5, 7, 0, -9, 13, -12, 3, 10, 9],\n [5, 7, -12, 12, -7, 4, 3, 0, 8, -1],\n [1, -12, 14, 10, 0, 4, -7, -13, 10, 2],\n [-3, 4, -4, 3, -2, -1, 14, -3, 0, 8],\n [6, -7, -13, -7, 8, 13, 12, -10, -13, -5],\n [12, 8, -5, -11, -11, -7, -9, 10, 12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7929349990", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[3, 4, 4, -6, 4, -1, 0, 0, 8, 3],\n [4, 4, -12, 14, 13, -4, 9, 0, 4, 2],\n [4, -12, -13, -12, -8, 0, 5, -2, 2, 2],\n [-6, 14, -12, 9, 8, 1, 8, 0, 9, 14],\n [4, 13, -8, 8, -7, -7, 0, 3, -10, 7],\n [-1, -4, 0, 1, -7, 0, 4, -12, -4, -8],\n [0, 9, 5, 8, 0, 4, -4, -6, 5, 2],\n [0, 0, -2, 0, 3, -12, -6, 3, 0, -1],\n [8, 4, 2, 9, -10, -4, 5, 0, 14, -4],\n [3, 2, 2, 14, 7, -8, 2, -1, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51931266619939", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[12, 6, -11, -4, 4, 14, -8, -2, -2, 6],\n [8, 3, 10, 10, 14, -6, -2, -2, -10, 11],\n [-3, 10, -14, 3, 11, 6, 6, 7, 9, 13],\n [2, -5, 13, -6, 5, -7, 13, 0, -2, 13],\n [6, 2, -6, 9, 6, -4, -11, 9, 10, -8],\n [5, 8, 7, 12, 13, -12, -5, -12, -14, -1],\n [-2, -10, -7, -3, -9, 9, 8, -13, 9, -11],\n [12, -10, -4, -2, -7, 6, -10, -9, 0, 8],\n [10, 1, -4, -8, -9, -3, 11, -11, -1, -4],\n [11, -3, -13, -4, -2, -4, -6, 11, 12, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10120617241894", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) of the matrix A^6 where A is:\n[[1, -10, 12, -3, -12, 14, 1, 4, 2, 13],\n [-4, 6, 4, 12, 3, 12, -6, -2, 11, -9],\n [-12, 8, -3, -6, -6, 0, -14, 3, 0, -7],\n [-4, 2, 12, 13, 12, -1, 4, 12, 8, 9],\n [-10, -13, 0, 4, 10, 1, -2, 12, 14, 11],\n [-8, 14, 2, 4, 10, -8, -3, -2, 14, -2],\n [-1, 0, -13, -9, -6, 0, 5, 1, 11, -13],\n [-12, 8, 5, 8, 6, -7, -7, 6, -8, -4],\n [7, -2, -7, -6, 1, -10, 8, -1, -14, 12],\n [9, 4, 2, 7, -1, -2, -7, 12, -12, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150056133", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 7th power of the matrix:\n[[4, 0, 6, 12, -7, -6, -2, -3, -6, 5],\n [9, -4, -10, 4, 6, 3, -4, 12, -4, -9],\n [-14, 7, 14, 6, 14, -6, 14, -8, -9, 12],\n [13, 8, -5, -10, -14, 0, 10, -10, 5, -9],\n [-10, 2, 3, -11, 9, 6, 8, -13, -7, -10],\n [-11, 10, 7, -1, -11, -7, -12, -1, 14, 11],\n [3, 8, -3, 0, 5, 5, 11, -6, -13, -14],\n [0, 8, 0, 13, -7, -12, -13, -11, 3, -3],\n [3, 6, -5, 6, -7, 10, 3, 2, 4, -9],\n [-1, -10, -7, -7, 3, -6, -1, -1, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2110314910", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[2, -3, -4, 6, 4, -2, -2, -2, 9, 2],\n [-3, -9, -2, -2, -2, 2, 9, 0, -8, -6],\n [-4, -2, -6, -10, 5, 0, -10, -2, -10, 6],\n [6, -2, -10, -13, 4, 12, 0, -10, 8, 0],\n [4, -2, 5, 4, -13, 0, -12, 3, -2, -2],\n [-2, 2, 0, 12, 0, 7, -1, -7, -4, 1],\n [-2, 9, -10, 0, -12, -1, 4, 7, -8, 2],\n [-2, 0, -2, -10, 3, -7, 7, 8, 4, 4],\n [9, -8, -10, 8, -2, -4, -8, 4, 14, 2],\n [2, -6, 6, 0, -2, 1, 2, 4, 2, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6886753434", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-10, 2, -5, -3, -6, 0, 0, -4, 0, 10],\n [2, 4, 8, -7, 2, 1, 1, 6, 4, -8],\n [-5, 8, -7, 1, 0, 6, -10, -2, 4, -3],\n [-3, -7, 1, -14, 7, -2, 9, -4, -3, -1],\n [-6, 2, 0, 7, -6, 1, -7, -10, 2, 5],\n [0, 1, 6, -2, 1, -8, 8, 0, -1, 0],\n [0, 1, -10, 9, -7, 8, 13, -2, 2, 7],\n [-4, 6, -2, -4, -10, 0, -2, 3, -4, 3],\n [0, 4, 4, -3, 2, -1, 2, -4, -6, -2],\n [10, -8, -3, -1, 5, 0, 7, 3, -2, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4596852223", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[13, 12, 7, 0, -1, -11, -4, -2, 1, -2],\n [12, 6, 6, -1, -1, 7, -6, 8, 2, -6],\n [7, 6, -9, -7, 10, 1, -3, 1, -2, 3],\n [0, -1, -7, -6, -8, -2, 1, 4, -6, -6],\n [-1, -1, 10, -8, 7, 0, 6, -8, 8, 10],\n [-11, 7, 1, -2, 0, 3, -4, 4, 1, -2],\n [-4, -6, -3, 1, 6, -4, 7, 5, 2, -6],\n [-2, 8, 1, 4, -8, 4, 5, 5, 7, 0],\n [1, 2, -2, -6, 8, 1, 2, 7, -7, -3],\n [-2, -6, 3, -6, 10, -2, -6, 0, -3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136288164145", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-6, -6, -10, -2, 10, 7, -2, -6, 6, -4],\n [-6, -7, -3, -10, -8, -10, 3, -2, 2, -10],\n [-10, -3, 10, -2, -4, -6, -4, 10, 1, 7],\n [-2, -10, -2, -8, 0, 0, -8, -6, -4, 7],\n [10, -8, -4, 0, -14, -6, 0, 6, 5, -4],\n [7, -10, -6, 0, -6, 8, -8, 6, 2, 0],\n [-2, 3, -4, -8, 0, -8, 8, 0, 0, 12],\n [-6, -2, 10, -6, 6, 6, 0, 7, -8, -6],\n [6, 2, 1, -4, 5, 2, 0, -8, -6, -12],\n [-4, -10, 7, 7, -4, 0, 12, -6, -12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6581641835218", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[0, -12, 5, 4, 0, 4, -7, 8, -2, 8],\n [-5, -13, -4, 10, 14, 7, 4, -6, -6, -9],\n [14, -5, 7, 9, -7, 0, -9, -8, 5, 2],\n [-11, -7, 13, -2, 9, -1, 3, 8, 14, 2],\n [3, -1, 9, -4, -5, -2, 14, 5, 1, -1],\n [-12, 3, 12, -9, 5, -12, 4, 11, -12, -3],\n [-7, 10, 10, -10, 2, -5, 6, 2, -6, -2],\n [-5, 14, -7, -8, -13, -13, -11, -6, 10, -1],\n [9, -4, 6, -8, 13, 10, 4, -11, -13, 10],\n [8, 7, 6, 13, 8, 4, 6, 3, 6, -8]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-635573940051", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-4, -10, -3, 6, -2, -2, 9, -6, -2, -10],\n [-10, 5, -4, 8, 11, -1, -8, -9, -1, 2],\n [-3, -4, -12, 7, -13, 2, 0, 0, -7, -12],\n [6, 8, 7, -3, 1, 0, 4, -2, 0, -4],\n [-2, 11, -13, 1, 5, -6, 0, 0, 2, 11],\n [-2, -1, 2, 0, -6, 5, 4, -6, 5, -2],\n [9, -8, 0, 4, 0, 4, 11, -6, 1, -5],\n [-6, -9, 0, -2, 0, -6, -6, -9, 4, -1],\n [-2, -1, -7, 0, 2, 5, 1, 4, 5, 2],\n [-10, 2, -12, -4, 11, -2, -5, -1, 2, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23499167634", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-13, -8, 0, -12, -10, 7, -7, -11, 3, 4],\n [-7, 8, -9, -10, 12, -10, 2, -9, -2, -6],\n [9, -3, -5, -14, -4, 14, -9, -12, -9, -6],\n [7, -7, 0, 7, -9, 8, -4, 14, -5, -4],\n [-11, 14, -2, -7, 5, 0, -8, -14, 13, 10],\n [11, -6, 8, -7, -13, 11, -1, -3, 11, 8],\n [2, 4, -9, 6, -10, 10, -9, -12, 1, 3],\n [-1, 10, 0, 11, -11, -4, -10, -6, -10, -8],\n [3, 3, 5, 9, -13, 11, 8, -2, -2, 2],\n [10, 11, 7, 12, 2, 11, -9, -1, 6, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15585476989507", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-3, -10, -10, -11, 8, 14, 10, -2, -11, 3],\n [1, 3, -13, 8, -11, 5, 2, 5, -9, 3],\n [5, 12, -8, -2, -6, -13, -7, -1, 7, 9],\n [3, 12, -14, 8, 14, -6, -6, -13, 1, -11],\n [-2, 2, -4, 8, -13, -11, -3, -13, -14, 8],\n [-9, 1, -13, -1, 5, -3, 12, 4, 13, -12],\n [4, -4, -11, 2, 2, -8, -10, 4, 10, 6],\n [11, 4, -6, 2, -6, -1, -10, 7, -13, 9],\n [0, 1, 4, -14, 8, -3, 4, 5, 0, -10],\n [-14, -4, 12, -6, -8, -13, 14, 2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7163448", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-1, 12, -13, 4, 13, -12, -7, 6, 10, 4],\n [1, 7, -11, -7, 13, -14, -11, -8, 10, 14],\n [-14, 9, 3, -11, 5, -1, -7, 12, 3, -8],\n [-12, 10, 6, -1, -3, 0, -7, -10, 2, 10],\n [-5, -4, 13, 8, 1, 1, -11, 8, -10, -5],\n [-1, -6, 3, 5, -9, -4, 6, 2, -6, 10],\n [-12, 1, 5, -11, 11, 9, 7, 0, -13, 5],\n [2, 4, 5, 1, 9, 4, 6, 2, 14, -11],\n [3, -11, 6, -12, 7, 13, 3, 6, 5, -10],\n [14, -6, 7, 8, 12, 9, 0, -6, -1, 6]], determine the value at position (10, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "481029863", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (4, 4) of the result:\nA =\n[[9, -6, 2, 9, -2, -6, 10, 1, -2, -8],\n [-6, -11, 2, 2, 4, -8, 8, -2, -5, -10],\n [2, 2, 6, 2, 10, 10, 0, 4, 0, -2],\n [9, 2, 2, -10, -4, 10, 0, 12, 4, -2],\n [-2, 4, 10, -4, 8, 6, -1, 7, -2, 0],\n [-6, -8, 10, 10, 6, 13, -3, -8, -2, 9],\n [10, 8, 0, 0, -1, -3, -12, -3, 14, 2],\n [1, -2, 4, 12, 7, -8, -3, 7, -6, 6],\n [-2, -5, 0, 4, -2, -2, 14, -6, -12, -1],\n [-8, -10, -2, -2, 0, 9, 2, 6, -1, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "566877343617", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (6, 2) of the result:\nA =\n[[14, 2, -8, 10, -1, 5, -4, 0, 8, 6],\n [2, 13, 4, 0, -2, 4, 8, 9, -2, 0],\n [-8, 4, 4, -2, 2, -4, 8, -2, 0, -9],\n [10, 0, -2, 14, 6, -2, -9, 2, -2, -1],\n [-1, -2, 2, 6, 12, -3, 12, 12, -2, -8],\n [5, 4, -4, -2, -3, 14, 12, -5, -1, -2],\n [-4, 8, 8, -9, 12, 12, 5, 6, 2, 10],\n [0, 9, -2, 2, 12, -5, 6, -9, -6, 9],\n [8, -2, 0, -2, -2, -1, 2, -6, -1, -6],\n [6, 0, -9, -1, -8, -2, 10, 9, -6, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210007774808", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 10) of the 8th power of the matrix:\n[[-1, 13, 1, -8, -14, 14, -13, -6, 10, 8],\n [3, 6, 5, 3, 3, -5, -7, 6, -7, -13],\n [3, -4, -4, 4, -4, -5, -7, 0, -7, 4],\n [-14, 8, 5, -12, 6, -3, 1, 7, 1, 2],\n [13, 13, 1, -6, 7, 4, -14, 14, 10, 3],\n [11, -9, -9, -3, -12, -4, -9, -1, 3, 1],\n [9, -2, -14, -9, -1, 2, 10, -2, -2, -6],\n [-9, -9, 10, -10, 10, 6, -1, -1, -11, -13],\n [-13, 14, 2, -5, -1, 4, 2, 14, 7, -4],\n [14, -8, -6, -1, 8, -11, -1, 5, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57411704346", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 2) of the 7th power of the matrix:\n[[2, 10, 4, 2, 10, 12, 12, -1, -2, 11],\n [-1, 11, 1, 6, 13, 0, 10, 4, 7, -4],\n [-3, -4, 13, 8, -10, 13, -7, 11, -9, 1],\n [-3, -9, -2, -8, -7, -3, 14, -13, 8, -6],\n [-2, 2, -2, 1, 13, -14, -8, -2, -1, 6],\n [2, 1, 0, 14, 2, -13, 12, 11, 10, 13],\n [-3, -12, -6, -9, 14, 11, -9, -8, 11, 12],\n [-7, 12, -12, 9, 0, 7, -9, -4, -12, 1],\n [-9, -4, 14, -7, 14, 8, -5, -5, 8, -12],\n [11, -1, 4, 6, 13, 6, -6, -2, -6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153827705", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[6, -4, 5, -8, -6, 3, 4, -2, -9, -5],\n [-4, 14, 6, 1, 7, -10, -7, 0, 6, 2],\n [5, 6, 11, -4, -6, -3, -10, -6, -4, -7],\n [-8, 1, -4, 3, -4, -4, -4, -11, -3, 0],\n [-6, 7, -6, -4, -13, -10, -2, -3, 1, 7],\n [3, -10, -3, -4, -10, 9, 5, 4, 0, 7],\n [4, -7, -10, -4, -2, 5, 7, -2, 12, 2],\n [-2, 0, -6, -11, -3, 4, -2, 14, -8, 0],\n [-9, 6, -4, -3, 1, 0, 12, -8, -6, 4],\n [-5, 2, -7, 0, 7, 7, 2, 0, 4, 4]], determine the value at position (8, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139925910", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-5, 1, 10, -12, 4, -2, -1, -8, -13, 11],\n [-1, 8, 8, 2, -2, 11, 12, -13, -10, -11],\n [-12, 11, -1, -4, -7, 8, -6, 1, -12, -5],\n [-14, -6, 1, -6, 13, -3, -14, 1, -7, -1],\n [-1, -5, -14, -9, -6, 4, 7, 1, 4, -4],\n [6, -4, -1, -8, 12, 11, -3, 5, 5, 8],\n [-10, -14, -4, 0, -5, 14, 0, 13, -2, 0],\n [-13, 7, -2, -3, 10, 8, -11, 13, -3, 0],\n [-2, -13, 5, 1, -1, 6, -13, 2, 1, -11],\n [-4, -2, -9, 2, -14, -6, 6, 3, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "753194787261", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-13, 5, -4, -13, -11, 12, -2, -9, -8, 7],\n [5, 11, -12, -11, 13, 6, 5, -12, -14, 4],\n [12, 6, -2, -1, 7, 13, 1, 14, -11, 2],\n [-5, 14, -8, -2, 10, -2, 7, -1, -9, 1],\n [-6, 5, 1, 6, 6, -3, 1, -10, 9, -4],\n [-14, -5, -4, 0, 11, 12, -12, 9, 0, -4],\n [-6, -13, -3, 5, 1, 9, 1, 6, -14, 1],\n [-9, -1, 10, 10, -4, -14, 5, 2, 8, 4],\n [-13, -1, -7, 10, 8, 7, 11, 14, 12, -9],\n [-6, -10, -10, 3, 7, -1, -3, 13, -3, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3503201618661", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -11, 12, 0, 8, 0, 10, 2, -12, -5],\n [10, 6, 7, -7, -6, 9, -12, 11, -14, -4],\n [-2, -3, 14, 6, -8, -13, -14, 5, -12, -11],\n [2, 3, 2, 4, -11, 14, 2, 7, -13, -5],\n [-3, -2, -4, 6, -7, 13, 14, 5, -10, 10],\n [-13, -3, 13, -13, -9, 7, 4, -3, 10, -2],\n [2, -3, -12, 9, -7, 1, -11, 9, 12, 11],\n [-2, -7, -14, -12, -14, 0, 3, 5, -12, 14],\n [0, 12, 7, 13, 13, -10, 6, -5, -8, 8],\n [10, -7, -12, 3, 2, 1, 11, 7, 14, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588536853232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-11, -12, -4, 12, -13, 3, 12, -11, 2, -9],\n [-5, -4, -10, 11, 10, 3, 10, 10, -5, -6],\n [1, -5, -5, -11, 6, 9, -1, -7, -14, 1],\n [11, 2, -5, -9, -8, 3, -13, 6, -6, -10],\n [-7, 9, -10, 9, 0, -7, -10, -10, 5, 2],\n [-6, -13, -14, 7, 6, -4, 0, -14, -8, 8],\n [4, 9, 0, -9, 5, 11, 11, -5, -3, -2],\n [0, 4, 2, -2, -13, 3, 14, -4, -10, -11],\n [-13, 12, 1, 10, -8, -7, -7, -13, 0, -10],\n [4, -5, -6, 10, 7, 14, 5, -7, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1849246196096", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 9) of the result:\nA =\n[[-2, 10, -4, -8, 1, 0, 4, 0, -6, -3],\n [10, 4, 2, 10, 0, 4, 10, 2, -10, -4],\n [-4, 2, 14, -4, 9, -2, -8, 8, 4, 0],\n [-8, 10, -4, 8, 8, -6, -6, -7, 5, 10],\n [1, 0, 9, 8, -12, 1, 2, -4, 8, 3],\n [0, 4, -2, -6, 1, -12, 5, 0, 6, 2],\n [4, 10, -8, -6, 2, 5, -13, -2, 2, 5],\n [0, 2, 8, -7, -4, 0, -2, 9, -2, 2],\n [-6, -10, 4, 5, 8, 6, 2, -2, -13, 4],\n [-3, -4, 0, 10, 3, 2, 5, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6847392116", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, -5, 14, -4, 8, 10, 1, 11, 10, 8],\n [12, -14, 4, -10, 11, 13, 12, -9, -9, -10],\n [-9, 10, -2, -14, -14, 10, -1, -7, -6, 8],\n [-5, -9, -6, 3, 0, -11, -13, -9, 2, -8],\n [8, 8, 5, 0, 9, 6, -13, 6, -3, -5],\n [10, 11, 2, 12, 3, 1, -5, -7, 14, 6],\n [13, 10, 7, -2, 1, -7, -3, 2, 1, -6],\n [10, 4, 2, 9, -7, -3, -6, -9, 10, 13],\n [-5, -6, 13, 14, -11, -4, 6, 7, -9, 11],\n [3, -11, -3, -6, 0, 8, -6, -9, -4, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29905924500", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[10, 6, 9, 3, 7, -2, -3, 0, 0, -7],\n [6, -7, -6, -3, -6, 3, 0, -8, -6, -9],\n [9, -6, -13, -2, 2, 13, -8, 4, 2, 0],\n [3, -3, -2, -3, 6, -6, -4, -8, 3, 6],\n [7, -6, 2, 6, -8, -8, 6, 7, -3, 12],\n [-2, 3, 13, -6, -8, -14, -2, -4, -1, 11],\n [-3, 0, -8, -4, 6, -2, 0, 5, 4, 0],\n [0, -8, 4, -8, 7, -4, 5, 9, -3, -3],\n [0, -6, 2, 3, -3, -1, 4, -3, -11, 0],\n [-7, -9, 0, 6, 12, 11, 0, -3, 0, -11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "381743834", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[14, 10, 11, 9, 8, -1, 4, -4, 1, 2],\n [10, -8, 2, 6, 2, 0, 8, -2, 5, -9],\n [11, 2, 0, -8, -5, -8, -2, 8, -2, 4],\n [9, 6, -8, 13, -4, 2, -2, 8, 4, 0],\n [8, 2, -5, -4, -9, 6, 4, -9, 4, -2],\n [-1, 0, -8, 2, 6, -12, 7, 12, 9, -1],\n [4, 8, -2, -2, 4, 7, -6, 2, -7, -4],\n [-4, -2, 8, 8, -9, 12, 2, -2, -10, -5],\n [1, 5, -2, 4, 4, 9, -7, -10, -6, -1],\n [2, -9, 4, 0, -2, -1, -4, -5, -1, 14]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "407877265770", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 3) of the matrix A^6 where A is:\n[[14, 2, 7, -8, 4, -4, 8, 0, -2, 1],\n [2, -1, -8, 4, 2, 2, -1, -7, -2, -6],\n [7, -8, 7, -2, 4, 2, 2, 0, 10, -7],\n [-8, 4, -2, -1, 1, -1, 10, 1, 0, 11],\n [4, 2, 4, 1, -12, -12, -1, 10, 6, -8],\n [-4, 2, 2, -1, -12, -14, -5, 4, 11, -9],\n [8, -1, 2, 10, -1, -5, 10, -2, 2, -3],\n [0, -7, 0, 1, 10, 4, -2, -8, -4, 10],\n [-2, -2, 10, 0, 6, 11, 2, -4, 4, -11],\n [1, -6, -7, 11, -8, -9, -3, 10, -11, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177355295", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 9) of the 6th power of the matrix:\n[[-10, 8, 0, 10, -4, 5, 10, -2, -9, -10],\n [-13, 2, 9, -3, -3, 7, -1, -8, 7, 11],\n [14, -1, -8, -6, -1, 6, 2, 2, 10, 6],\n [-2, 14, 12, 14, 3, 4, 2, -9, -3, -9],\n [-12, 0, -12, 8, 0, -14, 6, 14, -12, -10],\n [12, -1, -11, 7, 13, -6, 3, -5, -7, -2],\n [-13, 5, 10, 5, -8, -4, -10, 14, 3, -7],\n [12, 11, -5, -13, -12, 11, 8, -10, 1, -5],\n [-4, 4, 1, -3, -13, -4, 7, 11, -14, 9],\n [-10, 6, -1, 3, -8, -10, -7, 6, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73694509", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, -2, 4, 14, -13, -10, 11, 14, 11, -10],\n [-9, 1, -13, -10, 0, -14, 4, -12, 4, 0],\n [-12, -7, 0, -14, -9, 7, 2, 1, -2, -14],\n [-12, 9, -9, 5, 6, 11, -12, 0, 0, -4],\n [12, 7, -9, -9, -6, -1, 11, 14, -4, 9],\n [-9, 3, 5, 0, 7, -6, -4, -13, -9, 11],\n [12, 11, 11, 8, -1, -1, 9, -2, 10, -10],\n [-6, 10, 14, -4, -8, -13, 9, -3, -10, 14],\n [12, 9, -13, -1, -8, -10, -11, -5, 14, 1],\n [-9, 6, -9, -6, -14, 14, 1, 12, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141513556", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-9, -14, -1, 3, 2, -3, -2, 2, 0, 6],\n [-14, -1, -4, 4, 4, -9, 0, 6, 4, 4],\n [-1, -4, -10, 11, -11, -12, -2, -4, 0, -3],\n [3, 4, 11, -2, -8, -8, -9, -5, 8, 7],\n [2, 4, -11, -8, 11, 0, -4, 2, 4, 0],\n [-3, -9, -12, -8, 0, 3, 2, 8, -8, 1],\n [-2, 0, -2, -9, -4, 2, -1, -4, 3, 10],\n [2, 6, -4, -5, 2, 8, -4, 11, -4, -1],\n [0, 4, 0, 8, 4, -8, 3, -4, -9, 10],\n [6, 4, -3, 7, 0, 1, 10, -1, 10, -1]], determine the value at position (9, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14488360297", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[7, 0, -7, -6, 6, -4, -12, 5, -1, 12],\n [-7, -12, 3, 8, -1, 5, 14, -7, 2, -7],\n [-10, -3, -13, 2, -2, 7, -1, -6, -6, -6],\n [12, 5, -9, -3, -5, 7, -10, 3, -8, -2],\n [-14, -9, 6, 6, -7, -6, -8, -5, 14, -7],\n [-13, 3, 13, 0, 9, -9, 9, -1, 10, 10],\n [12, 7, 9, 3, 9, -12, -14, 8, -14, -1],\n [12, -14, -14, -11, 14, -3, 0, 14, 13, -11],\n [-5, -4, -9, 13, -5, -3, -12, 0, 1, -5],\n [7, 14, 8, -4, 1, 2, -1, 1, -1, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4905431190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-5, 2, 8, -5, 6, -5, -1, 5, 2, -6],\n [0, -8, -13, -11, 5, 9, 3, -4, -10, 11],\n [-7, 7, 5, -10, -13, -10, -12, -3, 4, -8],\n [4, -11, 8, -1, 4, 11, 11, 14, 3, 11],\n [-8, 0, 6, -14, -3, 11, 14, 9, 4, 12],\n [8, -9, 11, 13, -2, -9, -2, 0, 14, 1],\n [-7, -2, -2, 13, 14, 5, 5, -3, 4, 2],\n [11, -12, 0, 2, -9, 9, 4, -3, -11, 6],\n [8, -3, 12, 7, -13, -8, 1, 9, -3, 1],\n [-1, -14, 7, 12, -6, -8, -10, 14, -5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54468407919", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 10, 3, -8, 10, 3, -2, -4, -5, 7],\n [-6, 0, -1, -12, 9, -1, 6, 1, 8, 14],\n [13, -12, -7, -13, 14, 9, -13, 8, 3, -8],\n [2, -9, -5, -8, -11, -4, 1, 12, 2, 13],\n [-9, 5, 4, 5, 7, 6, 3, 0, -13, 4],\n [12, -9, -3, -14, 12, 8, 9, 8, -4, 4],\n [7, -11, 6, 4, 6, -9, -7, 13, 7, -6],\n [-5, -5, -5, 11, -11, 3, -3, 10, -4, 1],\n [4, -4, 8, -11, -3, 13, 2, 9, -2, 13],\n [-11, 12, -9, -8, -7, 11, -13, -6, -5, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2859435321513", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[4, -14, 1, 3, -7, -5, 7, -4, 2, 12],\n [10, -8, 11, 12, -12, 14, -8, -9, -12, -7],\n [-14, -10, 9, 4, 12, -2, 11, -4, 13, 7],\n [11, -4, -13, -6, -13, 6, 4, 11, -3, -6],\n [-6, 8, -5, -10, -6, 8, 3, -5, 2, 11],\n [-5, -1, -11, -5, 9, 7, 3, -10, -6, -9],\n [1, 7, 8, 1, 14, -4, 6, 0, 4, -12],\n [1, 6, 5, -10, -6, -10, -11, -2, 5, 2],\n [11, 5, -3, 5, 10, 12, 5, -8, -14, 1],\n [-8, -13, -3, -4, -7, -14, 11, -12, -7, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27417650", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (1, 4) of the result:\nA =\n[[-7, -4, 14, 6, -10, -7, 11, 6, -6, 2],\n [-10, 4, 4, -13, 4, 8, 0, -7, 13, 9],\n [12, -7, -14, -1, -4, -8, 3, 12, 0, -5],\n [-11, 6, 13, -14, -1, 5, 5, 10, -6, -2],\n [14, 12, 11, 2, 9, 5, -11, -10, 3, 2],\n [6, -8, -5, -6, 13, 13, -2, 3, -3, -7],\n [8, 3, -10, -8, 0, -12, 3, -9, 11, 14],\n [-9, 12, 5, -14, 6, 2, -4, 12, 9, -13],\n [10, -6, 4, -9, 10, -8, -11, -12, -13, -5],\n [-5, 2, 12, 1, 11, 12, -14, -3, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2814605179", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[10, -2, -2, -6, -6, -12, -10, 2, -4, 10],\n [-2, 10, -5, -12, -4, 8, -12, 12, -2, 0],\n [-2, -5, 7, 1, 0, 12, 0, 8, 10, -4],\n [-6, -12, 1, 4, -4, -2, 8, -12, 0, 11],\n [-6, -4, 0, -4, -14, 1, 10, -4, -10, -2],\n [-12, 8, 12, -2, 1, 13, -2, -4, -8, 8],\n [-10, -12, 0, 8, 10, -2, -5, 6, -5, 0],\n [2, 12, 8, -12, -4, -4, 6, -9, 2, -3],\n [-4, -2, 10, 0, -10, -8, -5, 2, 7, 4],\n [10, 0, -4, 11, -2, 8, 0, -3, 4, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12524780930", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) of the matrix A^6 where A is:\n[[-10, 14, 7, -1, -5, -4, -12, 8, -7, 6],\n [-10, 13, 5, 11, 6, 13, -5, 12, -7, 6],\n [-6, 14, 13, 14, 0, -14, 8, -10, 0, -11],\n [4, 13, -5, 8, 13, -13, -10, 3, 8, -9],\n [14, -5, 0, 8, 13, -6, -2, 3, 10, -8],\n [-13, 1, 11, -13, -11, -13, 2, -9, -5, -1],\n [12, 0, 6, -3, 4, -4, -14, 10, -7, 7],\n [-9, -3, 5, 1, 14, 3, -3, 5, -13, 14],\n [-8, -6, 14, 3, -6, 10, -7, -14, -10, 1],\n [-1, 11, -2, 14, -4, 5, 8, -2, 12, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33769607", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, 6, 8, 4, -8, -6, -1, 2, 6, 0],\n [6, -5, 6, -2, -6, -10, 4, -7, 10, -8],\n [8, 6, 4, -2, -6, -5, 1, 11, 10, 0],\n [4, -2, -2, -4, -8, -1, -10, 4, -4, 3],\n [-8, -6, -6, -8, -1, 4, -9, 0, -6, 2],\n [-6, -10, -5, -1, 4, 7, -3, 0, -8, 4],\n [-1, 4, 1, -10, -9, -3, 1, -4, 6, 0],\n [2, -7, 11, 4, 0, 0, -4, 0, 6, -10],\n [6, 10, 10, -4, -6, -8, 6, 6, 11, -8],\n [0, -8, 0, 3, 2, 4, 0, -10, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72933368404", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-3, 5, -9, -3, 14, 5, -11, -13, 0, 8],\n [-9, 3, 6, 7, -10, -11, -4, -4, -6, -12],\n [-4, -13, -6, 9, 10, -5, -4, -12, 2, -4],\n [2, 4, -11, -13, 9, -1, 14, 0, 13, -12],\n [14, 5, 7, 11, -2, 7, -2, 3, 7, 5],\n [6, -8, 8, 1, 1, 7, 11, -9, -9, -11],\n [-12, -14, -12, 4, -6, -1, 4, 9, 9, 4],\n [11, 11, 13, -2, 7, 1, 13, -7, 9, 11],\n [1, 11, -6, -6, 9, 8, 11, -12, -8, 5],\n [3, 9, -13, -14, -3, 1, -3, 6, -5, 14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106913014175", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-6, 6, 12, 3, 11, -11, -7, 8, 6, -11],\n [1, 6, 8, 6, -7, -8, 8, 10, 9, -2],\n [13, -7, 7, -8, 9, 14, -10, 11, 3, 8],\n [11, 4, -5, -4, -7, -9, -4, 1, -11, -13],\n [-2, -8, 2, 8, -2, -5, -2, -5, -8, -5],\n [14, 1, -12, -11, 13, -11, -11, 1, -6, -9],\n [-5, 10, 13, -11, 8, 14, -3, -5, -3, 13],\n [10, 11, 4, 14, 4, 7, 9, -14, -11, -2],\n [-7, 7, -1, 1, -13, -7, -2, -14, -3, 2],\n [-8, 1, -1, -5, -12, 13, -3, -7, 1, 10]], determine the value at position (3, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5565109443", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 9) of the matrix A^7 where A is:\n[[9, -14, 2, -9, 13, -14, 9, 0, -2, -9],\n [6, -2, 7, -11, -14, 8, -5, 10, -11, -2],\n [-11, 1, -6, -11, 11, 5, -7, 12, -11, -6],\n [-4, 9, -10, -6, -7, 11, -11, 5, -14, 5],\n [13, -2, 9, 13, 13, -10, 7, 5, 6, -5],\n [1, -7, -3, 10, -12, 11, -11, 2, 12, 6],\n [5, 7, 7, -2, 11, -9, -12, -1, -8, -12],\n [-9, 14, -2, -1, 0, 11, 1, -14, 0, 9],\n [-8, 13, -6, 0, -1, 4, 13, 9, 3, -6],\n [-14, -3, -5, -8, -1, 11, -14, 0, 7, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17830418836", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-2, 8, 2, -7, -9, 2, 1, -2, 7, 5],\n [8, -11, 10, 2, -9, -4, -2, -9, 0, -7],\n [2, 10, 11, 3, -2, 3, 2, -4, 2, -10],\n [-7, 2, 3, 9, -9, 0, 3, 7, -6, 0],\n [-9, -9, -2, -9, 14, -12, 4, 0, 12, -4],\n [2, -4, 3, 0, -12, 6, 6, -4, 4, 0],\n [1, -2, 2, 3, 4, 6, -11, 12, 0, -4],\n [-2, -9, -4, 7, 0, -4, 12, -9, 0, 0],\n [7, 0, 2, -6, 12, 4, 0, 0, -12, 10],\n [5, -7, -10, 0, -4, 0, -4, 0, 10, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26579741191", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 4) of the 6th power of the matrix:\n[[-6, -2, 0, -12, -2, 10, 0, 4, 10, 8],\n [-2, 7, 8, -3, 8, 0, 10, 10, 6, 0],\n [0, 8, -4, -10, 2, 1, -8, -11, -2, -1],\n [-12, -3, -10, -12, 5, 3, -2, -2, 12, 3],\n [-2, 8, 2, 5, -9, -6, 2, -4, 2, 8],\n [10, 0, 1, 3, -6, 9, 2, -2, 2, 1],\n [0, 10, -8, -2, 2, 2, -8, 6, 6, 6],\n [4, 10, -11, -2, -4, -2, 6, -11, -1, 2],\n [10, 6, -2, 12, 2, 2, 6, -1, -14, -8],\n [8, 0, -1, 3, 8, 1, 6, 2, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96614738", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[1, 13, -4, 0, 13, 6, 8, -8, 0, 8],\n [13, 9, -5, -6, -6, 6, -13, 12, -2, -6],\n [-4, -5, 9, -2, -2, 0, 6, -10, -10, -4],\n [0, -6, -2, 8, 6, 10, -8, 4, 2, 2],\n [13, -6, -2, 6, 10, 2, 7, -1, 4, -2],\n [6, 6, 0, 10, 2, 3, 1, -1, -2, -3],\n [8, -13, 6, -8, 7, 1, 14, 5, 5, 0],\n [-8, 12, -10, 4, -1, -1, 5, -1, 11, 4],\n [0, -2, -10, 2, 4, -2, 5, 11, 14, -6],\n [8, -6, -4, 2, -2, -3, 0, 4, -6, -11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4509723218938", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[8, -9, 13, -3, 0, 4, 11, 7, 9, -13],\n [13, 4, 9, 5, 5, -13, 0, 12, 11, -3],\n [14, -14, 8, -1, -11, 7, 9, -4, -8, -2],\n [-1, -8, 7, -4, 5, 5, 10, -4, 6, -6],\n [12, 13, 10, -11, -13, -13, 10, -6, 4, 0],\n [6, 6, 3, 1, -13, 11, -3, 14, -14, -13],\n [-1, 12, -8, 2, 0, 2, -6, -2, -13, 12],\n [0, 5, -4, 4, -1, 12, -11, 12, -4, 1],\n [8, 11, -13, -13, -6, 7, 12, 8, 6, 14],\n [6, -11, -7, 8, 11, 3, 0, -13, 7, 13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12908535287874", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 2, -8, -7, -5, 9, -12, -2, 8, 2],\n [-2, 12, 4, 14, 7, -6, 6, 14, 1, -10],\n [-6, 13, -6, -9, 6, -5, 3, -4, 9, 13],\n [9, 0, -8, -1, -7, 4, 0, 4, 3, 2],\n [-12, -12, -8, 13, -5, 10, 13, 2, 0, -7],\n [2, -12, -11, 12, -7, -2, -14, 13, 3, -4],\n [6, -9, 1, 6, 14, 4, 11, 8, 13, 2],\n [3, -4, -1, -3, 10, 5, 9, 10, -8, 2],\n [-10, 7, -1, 12, 9, 11, -2, 9, 14, -3],\n [-1, 10, -6, -11, 7, 4, -14, 14, -2, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85185440640", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 8) of the matrix A^7 where A is:\n[[-14, 10, 12, 7, 2, 12, 14, -12, 2, -13],\n [7, -8, -14, 11, 6, 7, 0, -11, -9, 6],\n [-2, 14, 12, 8, -2, 5, -14, -13, -9, 14],\n [11, 14, -4, 3, -2, 6, -3, 5, -8, 5],\n [-8, 12, 9, -8, -13, -4, -14, 6, 14, -2],\n [-3, -2, -8, -3, 2, 12, -7, -12, -8, 4],\n [5, -7, -1, -1, -13, -9, 1, 11, -6, 11],\n [10, 6, 0, 4, 0, 7, -3, -6, 1, -9],\n [5, 13, 12, 0, -2, 6, 8, -5, -1, 14],\n [-12, -3, 10, -14, 9, 6, 1, -5, -6, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4155590514", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^8 where A is:\n[[-14, -5, -8, -5, -3, -4, -6, -10, 12, -11],\n [5, 13, -2, -7, 1, -14, 2, 0, 9, 0],\n [3, 11, -9, -13, -10, 4, -8, -6, -13, -8],\n [14, 14, 9, -1, 11, 9, 8, 0, -3, 5],\n [-11, 11, -2, 14, -6, -3, -5, -6, 6, 8],\n [-8, 10, -3, 1, 0, -8, -7, -8, -4, -11],\n [13, 3, 4, -8, 12, 12, -2, -6, 14, 12],\n [3, -8, 5, 1, 8, 13, -10, -8, -9, 14],\n [-13, 13, -8, 6, -6, -2, 14, 12, 2, 2],\n [0, 3, 9, 0, -4, 10, 12, 12, -3, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-314000047992", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (10, 1) of the result:\nA =\n[[2, 2, -4, 6, 12, -4, 0, 4, 8, 5],\n [2, -5, -3, -3, 2, -12, 1, -10, -4, -3],\n [-4, -3, -9, 8, 0, -1, 7, 3, -2, -9],\n [6, -3, 8, 8, 0, -11, -2, -6, 10, 0],\n [12, 2, 0, 0, 2, -2, -8, 4, 11, 10],\n [-4, -12, -1, -11, -2, 1, -1, -3, -4, 2],\n [0, 1, 7, -2, -8, -1, -1, -4, 6, 7],\n [4, -10, 3, -6, 4, -3, -4, 12, -5, -6],\n [8, -4, -2, 10, 11, -4, 6, -5, -14, 6],\n [5, -3, -9, 0, 10, 2, 7, -6, 6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89674951891", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-9, -9, 0, 13, -12, -13, -10, -7, 4, 6],\n [1, 4, 8, 1, -9, 7, -14, 3, 7, -7],\n [-10, -3, 3, -10, 10, 7, 14, -2, 6, 11],\n [7, 14, -3, 1, -1, -4, 13, -6, 8, -5],\n [1, 4, -5, 11, 6, -11, 12, 6, -7, -4],\n [-9, -11, 6, 12, 8, 9, -10, 3, 7, 10],\n [-12, -8, 9, 7, -3, -12, 2, -12, -4, -9],\n [-4, -11, 2, 7, -14, -3, 9, -12, 1, -12],\n [-1, 2, 4, -8, 11, 9, -4, 1, 9, 4],\n [-10, -14, 10, 9, -5, 3, -5, -14, 14, -2]], determine the value at position (9, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68418901033", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 10, -3, 9, 1, 4, 11, -3, -9, 1],\n [-3, 10, 11, 9, -5, -10, 13, 14, 13, 10],\n [10, 4, -3, -7, -11, 11, -8, 11, 9, 8],\n [-10, -4, 2, 13, 9, 6, -12, -13, 4, 14],\n [10, -13, -1, 11, -14, 1, 0, 3, 14, -13],\n [13, -4, 6, 2, -2, -3, 11, 9, -13, 7],\n [6, 3, -5, -3, 2, 7, -1, 7, 4, -2],\n [9, 10, -12, 10, -7, -10, 7, 13, 13, -3],\n [-14, 6, 11, 1, 11, -3, 8, 2, 11, -6],\n [-2, 8, -11, 12, -11, 12, 0, -5, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "501524354854", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 8) of the 6th power of the matrix:\n[[-12, 10, 0, -9, -4, -13, 11, 13, -13, -14],\n [-4, -10, 11, -9, -12, 5, -10, 5, -6, 13],\n [4, -10, 8, -3, -3, 1, -8, -1, 7, -6],\n [0, 8, -4, -11, -4, 11, -6, -9, 2, -6],\n [12, 8, -9, -9, -11, 5, -4, -12, 9, 9],\n [3, 1, 6, 1, 14, 10, -3, -1, -6, -8],\n [-1, 5, 5, -5, -4, -8, 4, 4, 6, -4],\n [14, -9, -7, -14, 8, -7, -10, 13, -5, -13],\n [-11, 7, 10, -13, 0, 5, -5, 6, 9, 9],\n [-13, -9, 7, 14, -1, -10, 9, 11, -13, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316994", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-2, -13, 8, -6, -12, 0, 8, -12, -3, -9],\n [4, 2, -9, 12, 4, 2, 1, 6, -7, 9],\n [9, 4, -7, 5, 0, -7, -12, 1, -12, -14],\n [-7, 9, -6, 7, -3, 3, 2, -7, 11, 5],\n [-4, 12, -8, -1, -5, 0, -3, 5, 2, -7],\n [11, -1, 10, 11, 0, 10, 10, 13, 13, 12],\n [-4, -3, 5, 1, 10, 12, 5, 3, -5, 4],\n [3, -14, 12, 7, -11, 8, -8, 11, -14, 13],\n [14, 10, -7, 11, 2, 14, -7, -10, -14, 0],\n [-11, -8, -1, -3, 6, 12, -12, 13, 12, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24371686447", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, -10, 14, -2, 4, 4, -2, 0, -8, 2],\n [-10, -7, 6, -2, -7, -1, 0, 4, 2, -2],\n [14, 6, -2, 12, 2, 2, 0, 0, -4, -2],\n [-2, -2, 12, 10, -10, 12, -6, -5, 4, 3],\n [4, -7, 2, -10, 2, 12, -12, 0, 2, -2],\n [4, -1, 2, 12, 12, 2, 4, 12, 2, 2],\n [-2, 0, 0, -6, -12, 4, -9, 2, -12, -1],\n [0, 4, 0, -5, 0, 12, 2, 4, -5, -1],\n [-8, 2, -4, 4, 2, 2, -12, -5, 2, -1],\n [2, -2, -2, 3, -2, 2, -1, -1, -1, 14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363456872407", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[13, 0, 8, 6, -2, -8, 0, -3, -12, -2],\n [0, 5, -4, -2, -9, -10, 10, 5, 0, 12],\n [8, -4, -14, 4, -8, 4, -4, -2, -12, 8],\n [6, -2, 4, 4, 2, -2, -2, 2, -5, -5],\n [-2, -9, -8, 2, 10, -2, -12, 7, 3, 3],\n [-8, -10, 4, -2, -2, 14, 0, 2, 6, 10],\n [0, 10, -4, -2, -12, 0, 1, 3, 6, 8],\n [-3, 5, -2, 2, 7, 2, 3, -6, -4, 7],\n [-12, 0, -12, -5, 3, 6, 6, -4, -2, -14],\n [-2, 12, 8, -5, 3, 10, 8, 7, -14, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "415175145547", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 6) of the 6th power of the matrix:\n[[5, -2, 8, -12, -8, -2, 2, 8, 8, 4],\n [-2, 3, 11, -7, 2, 4, 12, 3, 4, 8],\n [8, 11, 12, 0, 6, 10, 10, -4, 6, -6],\n [-12, -7, 0, 9, -1, 6, 0, 7, -7, 0],\n [-8, 2, 6, -1, -8, 8, -8, 0, 6, 14],\n [-2, 4, 10, 6, 8, 9, 6, 4, 1, 2],\n [2, 12, 10, 0, -8, 6, -12, -3, -12, -5],\n [8, 3, -4, 7, 0, 4, -3, -11, -11, -2],\n [8, 4, 6, -7, 6, 1, -12, -11, -3, -1],\n [4, 8, -6, 0, 14, 2, -5, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102790539", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -6, 10, -10, 0, 10, 0, 0, 0, 7],\n [-6, -5, -6, -8, -2, -5, -9, -3, 10, 2],\n [10, -6, 2, 0, 14, -4, 10, 12, 4, 8],\n [-10, -8, 0, 10, 6, -1, -4, 7, 4, -1],\n [0, -2, 14, 6, -7, -4, -5, 8, -12, 4],\n [10, -5, -4, -1, -4, 14, 4, 2, 13, 8],\n [0, -9, 10, -4, -5, 4, 3, 2, 10, 4],\n [0, -3, 12, 7, 8, 2, 2, -12, -6, -6],\n [0, 10, 4, 4, -12, 13, 10, -6, 4, -3],\n [7, 2, 8, -1, 4, 8, 4, -6, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "601089628565", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-1, -14, 1, 10, -9, 3, 1, 4, 1, -10],\n [12, -3, -9, 10, -13, 1, 6, 8, -4, -3],\n [-4, 8, 5, 4, 14, -7, 14, 3, -10, -3],\n [-5, 0, -10, 2, 8, -11, 11, -3, 3, -7],\n [5, 2, -7, -2, 12, 8, -12, -12, -8, 3],\n [6, -8, 7, 11, 8, -13, -8, -13, -8, -1],\n [0, 1, 9, 11, -7, 1, 6, -8, -4, 9],\n [-11, 3, 8, -2, 2, -3, 3, -5, -8, -3],\n [-3, 11, -2, -14, -8, 1, 1, 6, 1, 1],\n [-1, -4, 4, -4, -13, -8, -6, -6, -1, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69884202735", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 7) of the matrix A^8 where A is:\n[[-5, -6, 4, 2, -8, -2, -3, 2, 8, -12],\n [-6, -11, -2, -1, 10, 7, -1, 7, 2, -5],\n [4, -2, 4, -1, -1, 2, 3, 1, -6, 10],\n [2, -1, -1, -13, -4, 4, 0, 8, -6, 7],\n [-8, 10, -1, -4, 14, -6, -8, -2, 2, -12],\n [-2, 7, 2, 4, -6, -10, -10, 2, 8, -4],\n [-3, -1, 3, 0, -8, -10, 12, 4, -10, -6],\n [2, 7, 1, 8, -2, 2, 4, -7, 1, -5],\n [8, 2, -6, -6, 2, 8, -10, 1, 13, -4],\n [-12, -5, 10, 7, -12, -4, -6, -5, -4, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "565867460040", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[14, -10, -14, -4, 4, -10, 7, 14, 9, 2],\n [4, 2, -10, 9, 5, 14, 12, -6, 7, -9],\n [12, 6, -2, 11, 6, -4, 8, 9, 8, -14],\n [2, 11, -9, -12, 1, -2, -3, 10, -4, 8],\n [-13, 13, 4, -7, -2, -1, 0, 2, 0, 6],\n [-5, -14, -3, -6, 8, -10, 7, 12, 0, -12],\n [4, -8, -8, -8, -13, -13, 12, -3, -10, -11],\n [-8, 1, -12, 6, -13, 2, -6, 14, 5, -7],\n [14, -3, -8, -1, 13, 1, -14, -5, -4, -8],\n [3, 4, -1, 2, 8, 4, 7, 13, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4819752425", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-12, -14, 11, 0, 0, 5, 2, 4, 2, 6],\n [-14, 5, 3, -10, 7, 0, -4, 7, -6, 10],\n [11, 3, 3, -10, 6, 8, 3, 6, 4, 0],\n [0, -10, -10, 2, -3, -4, -9, 10, 12, 2],\n [0, 7, 6, -3, -7, 8, 2, -12, 4, -4],\n [5, 0, 8, -4, 8, -5, 4, 6, 5, 12],\n [2, -4, 3, -9, 2, 4, 11, -10, -10, 4],\n [4, 7, 6, 10, -12, 6, -10, -13, 0, -6],\n [2, -6, 4, 12, 4, 5, -10, 0, -2, -9],\n [6, 10, 0, 2, -4, 12, 4, -6, -9, 8]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2165605184472", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, -5, 7, 0, 3, 4, -4, -4, -4, -6],\n [-5, -8, 4, 0, -5, 2, 0, -8, 3, 12],\n [7, 4, -13, -3, 4, -5, -2, 2, 2, 8],\n [0, 0, -3, 14, 3, 14, -4, -8, 4, -2],\n [3, -5, 4, 3, 13, 6, 0, -1, 4, -4],\n [4, 2, -5, 14, 6, 0, 4, 2, -4, 4],\n [-4, 0, -2, -4, 0, 4, 7, -2, 12, 7],\n [-4, -8, 2, -8, -1, 2, -2, -6, 7, -8],\n [-4, 3, 2, 4, 4, -4, 12, 7, 9, 5],\n [-6, 12, 8, -2, -4, 4, 7, -8, 5, -9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237474164466", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the 6th power of the matrix:\n[[11, 4, 12, 2, 7, 4, -6, -10, 4, 2],\n [4, 2, 4, 9, 0, 2, 6, -4, -4, -2],\n [12, 4, -13, -4, 2, -8, 0, 4, 2, 0],\n [2, 9, -4, -6, -10, 0, 3, 12, -4, 2],\n [7, 0, 2, -10, 2, 4, -4, 8, -2, 7],\n [4, 2, -8, 0, 4, -2, -8, 0, 12, -2],\n [-6, 6, 0, 3, -4, -8, -5, 11, -6, -4],\n [-10, -4, 4, 12, 8, 0, 11, -13, 10, 7],\n [4, -4, 2, -4, -2, 12, -6, 10, 1, -10],\n [2, -2, 0, 2, 7, -2, -4, 7, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120943336", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (1, 9) of the result:\nA =\n[[13, -7, 6, -7, 0, 4, -12, 2, 4, -2],\n [-7, -8, 2, 6, -6, -9, -1, 8, 0, 1],\n [6, 2, 9, -6, 7, -7, 8, 0, 4, 0],\n [-7, 6, -6, 6, -1, -2, -14, -1, -10, -2],\n [0, -6, 7, -1, -1, -11, -4, 6, -7, -4],\n [4, -9, -7, -2, -11, 8, 3, -1, 10, -6],\n [-12, -1, 8, -14, -4, 3, -3, 10, -1, -2],\n [2, 8, 0, -1, 6, -1, 10, 6, -6, -3],\n [4, 0, 4, -10, -7, 10, -1, -6, -6, 4],\n [-2, 1, 0, -2, -4, -6, -2, -3, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159071926", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-5, 11, -7, -4, 10, -7, 10, 5, -5, 2],\n [8, -4, -3, -5, 5, 2, -12, -8, 12, -12],\n [2, 8, -7, 6, 7, 4, -1, -10, 4, -2],\n [3, 8, 11, -4, 8, -3, -7, -3, -14, 3],\n [-13, -3, 4, 8, -8, -8, -14, 3, -7, 10],\n [-5, 14, 8, 14, -14, 0, 0, 13, -11, -5],\n [-7, -1, -2, 6, 2, -8, -9, -6, 5, 5],\n [-7, -1, 5, -12, 8, -2, 6, -6, 6, -6],\n [7, 7, -4, -9, 8, -3, 12, -11, -11, 10],\n [13, 8, 12, 11, 7, 2, -8, -9, 13, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226741698680", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 6th power of the matrix:\n[[14, -6, -4, 4, -8, -1, -3, -2, -4, 6],\n [-6, 1, -6, 12, -4, 10, 0, -2, 1, 0],\n [-4, -6, 14, -1, -4, 0, -2, 10, 3, -8],\n [4, 12, -1, -6, 0, 6, 6, 4, 5, -5],\n [-8, -4, -4, 0, 12, -1, 0, 9, -2, -2],\n [-1, 10, 0, 6, -1, -11, -2, 4, -10, -12],\n [-3, 0, -2, 6, 0, -2, -14, 8, -2, 4],\n [-2, -2, 10, 4, 9, 4, 8, -13, -2, -6],\n [-4, 1, 3, 5, -2, -10, -2, -2, 5, -4],\n [6, 0, -8, -5, -2, -12, 4, -6, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13601271", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (8, 6) of the result:\nA =\n[[-8, 4, 0, -9, 5, 7, -8, 9, -1, 7],\n [-11, -6, -8, 10, 0, -12, -10, 2, 12, 13],\n [9, -14, -14, 1, 8, -1, -4, -1, -7, 4],\n [-13, 8, -5, -10, 0, -14, -13, 4, 7, 2],\n [0, 9, 3, 6, -7, 14, 6, 14, -1, -7],\n [7, 8, -7, 4, -2, 13, -10, -5, -8, -6],\n [-1, -9, -5, -14, -4, -7, -9, 2, -11, -9],\n [14, 0, -5, 2, -5, -10, 4, -8, 14, 9],\n [4, -5, 4, -4, -12, -4, -9, -9, 0, -12],\n [7, 10, -4, -7, 12, 14, 14, 8, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69356494", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[8, 2, -6, 0, -4, -10, -5, -12, -6, -12],\n [2, 2, -2, 0, -4, 2, -2, -4, 4, 0],\n [-6, -2, 3, -4, -1, 2, 7, -4, -9, -4],\n [0, 0, -4, 12, -8, -2, 5, -3, 12, -3],\n [-4, -4, -1, -8, 9, 1, -2, -8, -2, -2],\n [-10, 2, 2, -2, 1, 7, -6, 0, 8, 2],\n [-5, -2, 7, 5, -2, -6, -3, 4, 4, 2],\n [-12, -4, -4, -3, -8, 0, 4, -11, 1, -4],\n [-6, 4, -9, 12, -2, 8, 4, 1, 0, 0],\n [-12, 0, -4, -3, -2, 2, 2, -4, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5150808350833", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (7, 1) of the result:\nA =\n[[-9, -7, -13, -6, 10, 12, -6, -8, -6, 2],\n [-12, 1, 1, -13, -4, 1, 0, -14, 6, 2],\n [-12, 7, 7, 4, 5, -8, 7, 14, -4, 3],\n [10, -1, 1, -9, -13, 8, -4, -4, 11, -5],\n [-11, 2, -5, -6, -2, -4, -5, 9, -10, -12],\n [-11, -12, -5, 9, -2, -10, -2, 12, 9, -14],\n [10, -4, 11, -12, 2, 4, -2, 1, 3, 8],\n [11, 5, 8, 4, -9, 8, -8, 0, -10, 1],\n [-9, -12, -3, -11, 12, 7, -12, 1, 1, 8],\n [4, 0, -6, 5, -13, -9, -1, -6, 14, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212050191336", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[11, 2, -7, 0, 0, 0, 10, 8, -4, 6],\n [2, 5, 4, -4, -4, -2, 4, 8, 0, 7],\n [-7, 4, 6, 4, -6, -10, -4, 0, 2, -8],\n [0, -4, 4, 5, 7, -10, -6, 0, -2, 3],\n [0, -4, -6, 7, -7, 10, -2, 6, 10, -2],\n [0, -2, -10, -10, 10, 9, -8, 2, -5, -6],\n [10, 4, -4, -6, -2, -8, 7, 1, 6, -9],\n [8, 8, 0, 0, 6, 2, 1, -7, 3, 14],\n [-4, 0, 2, -2, 10, -5, 6, 3, -4, -9],\n [6, 7, -8, 3, -2, -6, -9, 14, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5965875019455", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-9, -12, -10, 8, 10, -5, 11, -2, 4, 0],\n [-12, 1, 6, 10, -2, 7, -1, -4, 8, 1],\n [-10, 6, -6, -4, -5, 0, 0, -5, 0, -12],\n [8, 10, -4, -9, -2, 4, -2, -10, 2, -2],\n [10, -2, -5, -2, 10, 4, 0, 1, 0, -1],\n [-5, 7, 0, 4, 4, 3, -10, -3, -6, -8],\n [11, -1, 0, -2, 0, -10, -1, -12, -2, -2],\n [-2, -4, -5, -10, 1, -3, -12, 3, 0, 3],\n [4, 8, 0, 2, 0, -6, -2, 0, 10, 6],\n [0, 1, -12, -2, -1, -8, -2, 3, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1044588362", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-8, 0, 5, -11, -13, 7, -2, -3, -5, 4],\n [0, 2, 6, -9, 12, -10, 6, 13, 11, -2],\n [12, -1, 14, 9, -1, 0, 1, -5, -14, 9],\n [14, -4, -8, 2, 10, 13, -11, 14, -8, -12],\n [9, 5, -1, 3, 3, 9, 9, -14, -9, -6],\n [10, -13, -7, 9, 5, -11, 6, 12, -5, 8],\n [-14, -4, -6, 4, -4, -11, 8, -10, 6, 2],\n [3, -10, 3, 2, 11, -12, -4, 2, 11, -7],\n [9, -7, 8, 8, -13, 10, -8, 6, 5, 9],\n [6, -9, 5, 3, 13, -8, 13, 3, 12, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683014601", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -5, -12, 14, -1, -5, -2, -2, -11, -2],\n [-5, 12, -8, 2, -10, 6, -2, 0, 2, -8],\n [-12, -8, 11, 4, 8, -4, 3, 4, -6, -5],\n [14, 2, 4, 2, 4, 4, 8, 7, -4, -2],\n [-1, -10, 8, 4, -5, -11, 0, -2, 0, -4],\n [-5, 6, -4, 4, -11, 1, 2, 9, 14, 4],\n [-2, -2, 3, 8, 0, 2, -7, -4, 9, 0],\n [-2, 0, 4, 7, -2, 9, -4, 8, 0, -4],\n [-11, 2, -6, -4, 0, 14, 9, 0, 2, -4],\n [-2, -8, -5, -2, -4, 4, 0, -4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "362637746158", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-9, 5, -2, -9, -4, -9, 6, -4, 3, -5],\n [5, 10, 12, -6, 2, -5, 1, -13, -6, -8],\n [-2, 12, 10, 4, -9, -4, 2, -8, -4, -4],\n [-9, -6, 4, 11, -4, 0, 0, -7, -1, 2],\n [-4, 2, -9, -4, -9, -6, 8, -1, 8, 10],\n [-9, -5, -4, 0, -6, -13, -10, 6, -1, -4],\n [6, 1, 2, 0, 8, -10, 1, 10, -1, -4],\n [-4, -13, -8, -7, -1, 6, 10, 2, 0, 8],\n [3, -6, -4, -1, 8, -1, -1, 0, -1, -6],\n [-5, -8, -4, 2, 10, -4, -4, 8, -6, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "680548412991", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 1) of the result:\nA =\n[[-1, -2, 8, -5, -5, 13, -11, -1, -3, 7],\n [-9, 0, -10, -5, -6, 12, -5, 9, -3, 7],\n [-11, 14, -11, -2, 10, -1, -3, -2, 5, -2],\n [8, 7, -13, 6, 4, -6, -5, 2, -5, 5],\n [-2, 5, 10, -14, -13, 2, -2, 2, 13, -2],\n [2, 4, 12, -1, 5, -5, -13, -1, 2, -10],\n [7, 3, -12, 1, 11, 4, 3, 5, -10, -7],\n [-9, 0, 10, -12, 11, -6, 12, -4, 5, 9],\n [11, 8, -1, 8, -6, -5, 0, 3, 6, 4],\n [-8, 4, -10, 6, 3, 12, -14, -3, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-330647299", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[2, 0, 0, 0, -13, -6, 0, -1, -2, -10],\n [0, 13, -4, 7, 6, 0, -4, 6, -4, -6],\n [0, -4, -1, 6, -3, -2, 8, -8, -5, 10],\n [0, 7, 6, -6, 2, -11, 0, 9, -2, 0],\n [-13, 6, -3, 2, 2, -8, -7, -12, 3, -2],\n [-6, 0, -2, -11, -8, -1, -2, 8, -6, 10],\n [0, -4, 8, 0, -7, -2, -7, 12, -1, 1],\n [-1, 6, -8, 9, -12, 8, 12, -10, -2, 8],\n [-2, -4, -5, -2, 3, -6, -1, -2, -14, 0],\n [-10, -6, 10, 0, -2, 10, 1, 8, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367168063730", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[7, 2, -8, 5, -14, -6, -6, -4, 4, -9],\n [-8, 14, 0, 5, -9, -6, 0, 11, 7, 8],\n [-9, -8, 2, -9, 13, -6, 12, -12, -1, -9],\n [-11, 1, 8, 1, 8, 14, -6, -11, -7, 9],\n [-7, 9, -9, -7, -9, 11, -1, -1, 3, -2],\n [0, -12, -9, 8, 5, 2, 5, 1, -9, -7],\n [14, 13, -2, 14, -2, 5, 11, 2, 6, 8],\n [7, -12, -2, -8, 5, -10, -4, 8, 3, -11],\n [5, 7, 13, 12, -8, -11, -5, -14, 2, -10],\n [2, -12, -6, -12, -12, 14, -6, -10, 13, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184286037378", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-5, 0, 10, -3, -9, -8, -8, 8, -11, 14],\n [-2, 0, 3, 3, -8, -5, 1, 8, 11, 8],\n [14, -7, 4, 14, -4, 6, -9, 14, 9, 9],\n [-5, 4, 13, -1, 5, -9, -11, 11, 5, 0],\n [-10, 1, 11, -8, 13, -13, -2, -13, 13, 11],\n [-6, 5, -10, -12, -13, -1, 11, -7, 5, -3],\n [2, 14, 1, -9, -9, 3, -13, -7, 12, 8],\n [-1, -13, 11, 2, 12, 9, 1, 11, 3, 6],\n [-9, 11, 2, 3, -1, -5, -11, 3, -4, 7],\n [1, -11, 12, 4, -9, 10, -7, 3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206261123075", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[1, 11, -8, 10, 2, 12, -12, 7, 0, -11],\n [11, 1, -1, 11, 2, -6, -8, -1, 12, 13],\n [8, -3, 2, -6, -3, -3, -7, 12, 13, -5],\n [-3, -10, 5, -14, -6, 0, 9, 14, -13, -11],\n [-11, 14, 8, -12, 1, -7, 12, -8, 11, -3],\n [-3, -11, 0, 10, -9, -12, -8, 7, 9, 6],\n [-9, -14, -7, -14, 1, -12, 13, -13, -9, -7],\n [9, -8, -8, 9, 6, 4, 3, -12, -4, -4],\n [-12, 13, 8, -14, 8, 7, 12, -5, -13, 11],\n [2, -6, 3, 5, -6, 10, 13, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221867772794", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (8, 5) of the result:\nA =\n[[3, 3, -3, 3, -7, 14, -7, 11, 13, -7],\n [13, 5, 0, -7, -1, -2, 8, -7, 2, 4],\n [11, -9, 2, -11, 10, -8, 2, 14, 13, 7],\n [7, 13, 3, -9, -5, 3, 9, -8, -1, 7],\n [-1, -5, 7, 10, -6, 11, -5, -13, -12, 1],\n [-5, 8, -4, -5, -3, 14, -1, -6, 13, -2],\n [-9, -4, -14, 12, 0, -8, -4, 2, -10, -6],\n [11, 1, -4, 11, 10, 2, -9, 0, 14, -12],\n [13, -6, -3, 4, 3, 1, -7, 4, -10, -3],\n [-9, -3, 11, 0, -5, 2, -8, 12, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48836642", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[10, -4, -13, 6, -13, -1, 3, 1, 13, -4],\n [-6, -8, -11, 1, -1, -4, -7, -4, 12, 14],\n [5, 2, 13, 11, 4, -5, -3, -14, -13, 3],\n [-8, 1, -2, -11, -5, 13, -6, 3, -6, 7],\n [-5, -7, 8, -4, -2, 9, -2, 1, -2, 10],\n [-3, 0, 14, 1, -7, -9, 9, -7, -13, 3],\n [-4, 2, -5, -13, 8, 12, 4, 5, 5, 5],\n [-13, 12, -9, 2, -3, -10, -13, -6, -13, 7],\n [5, -1, 7, 0, -13, 13, 3, -3, -8, 1],\n [4, -12, 0, 0, -8, -7, -8, -12, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1565597339523", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[4, 14, 3, -8, 4, -10, 8, -2, -13, 9],\n [3, -11, -11, -7, -4, -14, 13, -6, -9, -11],\n [-9, -2, 14, 7, 14, -6, 12, -1, -3, -11],\n [-7, 2, 7, -10, -12, -11, -7, 1, -4, 12],\n [11, 12, -13, -7, -8, -14, 14, -13, 8, 12],\n [-2, -4, -12, -13, 1, -14, -8, -12, 7, 1],\n [11, 9, -9, -1, 8, -4, 7, 8, 6, 10],\n [4, 7, 10, -14, 6, -2, 5, -6, 12, 14],\n [-4, -14, -2, 5, -14, -12, 5, 2, -10, -9],\n [2, -5, -4, -2, 14, -5, -1, 13, -2, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "496131833514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 5, 2, 3, -4, -5, 6, 3, 4, -6],\n [-10, -14, -10, -12, -14, 4, 12, -9, -5, -10],\n [-3, -3, 2, 12, -13, 6, 10, 12, -1, -3],\n [13, -2, -10, -10, 2, -10, 9, 10, 11, 4],\n [-11, -8, 8, 2, -4, -9, -2, -3, 10, -10],\n [9, 12, -5, -4, -6, 11, 11, -2, -12, 2],\n [3, -10, 1, 11, 8, 1, -4, 7, -11, -6],\n [0, -3, 12, 1, -11, -12, 12, 6, -11, -13],\n [4, -8, 13, -13, -14, 3, 13, -7, -7, 13],\n [-5, 3, 7, 12, 13, -4, 12, 8, -14, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5470853110904", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[13, 0, -4, 1, -4, 10, -5, 2, -4, -1],\n [0, 8, 1, -4, 0, 2, -6, 2, -1, 10],\n [-4, 1, 14, -10, -5, 5, -6, -8, 0, 1],\n [1, -4, -10, 1, 1, 5, 0, -9, 1, -12],\n [-4, 0, -5, 1, 1, 8, 6, 8, -8, 0],\n [10, 2, 5, 5, 8, -7, -9, 4, -5, 2],\n [-5, -6, -6, 0, 6, -9, 12, -6, 3, -5],\n [2, 2, -8, -9, 8, 4, -6, 10, 9, 6],\n [-4, -1, 0, 1, -8, -5, 3, 9, 0, -1],\n [-1, 10, 1, -12, 0, 2, -5, 6, -1, 13]], determine the value at position (4, 10).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-450976079", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^7 where A is:\n[[9, -8, 2, 6, 0, -10, -2, -2, -1, 0],\n [-8, -2, 7, 2, -4, 2, 2, -6, -2, 1],\n [2, 7, 8, -6, 0, 6, -2, -1, -5, -8],\n [6, 2, -6, -10, 0, 8, -3, -1, -3, 1],\n [0, -4, 0, 0, -7, 1, 0, -1, 5, 0],\n [-10, 2, 6, 8, 1, -14, -1, -4, 4, -4],\n [-2, 2, -2, -3, 0, -1, 6, 6, 2, 2],\n [-2, -6, -1, -1, -1, -4, 6, 13, 2, -1],\n [-1, -2, -5, -3, 5, 4, 2, 2, 9, 8],\n [0, 1, -8, 1, 0, -4, 2, -1, 8, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1292703594", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-6, 6, 13, 11, 0, -7, 10, 10, 8, 11],\n [0, -14, -7, 8, -11, 7, -5, 1, 3, -11],\n [-7, -11, -5, 5, -11, 1, -3, -5, 10, -4],\n [-13, 1, 8, 4, -3, -11, 2, -3, 1, -12],\n [-13, 11, -8, -9, -14, 0, 12, -3, -2, -7],\n [-6, -14, -10, -8, 3, 7, -7, 9, 11, -5],\n [14, -7, -3, 1, -3, 7, 7, 12, -12, 3],\n [-10, -1, 10, 5, 6, 1, 7, 12, -9, 1],\n [5, -1, 5, 9, -10, -1, -4, 6, -6, 5],\n [-8, -10, 14, 0, 10, -2, -3, 9, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4534892412", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[11, 11, 4, 10, 9, 4, -5, 2, 1, -10],\n [14, -11, 9, 7, -5, 6, 10, -9, 14, -4],\n [-4, 12, 1, -1, 12, 4, 7, 13, 12, 13],\n [-11, -10, 7, 10, 4, 2, 3, -7, -11, 8],\n [3, 13, -4, 11, -1, -2, 9, 11, 1, 13],\n [-3, -6, -8, -5, 14, 12, 2, 3, 10, 11],\n [-8, 12, -12, 0, 1, 6, 2, -2, 11, -12],\n [12, 5, 5, 8, -10, -6, 8, 3, 14, -4],\n [-4, 1, -7, 12, -13, 8, 6, -5, -9, 12],\n [-11, 6, 13, -10, 8, -4, -3, 1, 5, 6]], determine the value at position (10, 10).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1339302135", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-1, 2, 6, 0, -2, -6, 3, -3, 10, 0],\n [2, 1, -2, 0, -2, -2, -2, 6, 2, -6],\n [6, -2, -7, 4, 8, -1, -13, 4, -2, -6],\n [0, 0, 4, -4, 6, 0, -6, 7, -8, -8],\n [-2, -2, 8, 6, -4, -4, 0, -2, 2, -4],\n [-6, -2, -1, 0, -4, -3, 10, 5, 6, -6],\n [3, -2, -13, -6, 0, 10, 11, -3, 2, -2],\n [-3, 6, 4, 7, -2, 5, -3, 11, 6, -2],\n [10, 2, -2, -8, 2, 6, 2, 6, -2, -5],\n [0, -6, -6, -8, -4, -6, -2, -2, -5, -1]], determine the value at position (5, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48183436", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 7) of the 7th power of the matrix:\n[[3, 14, -11, 0, -10, 6, -1, 1, 0, -4],\n [-13, 8, 9, 3, -11, 0, -3, 12, 12, -12],\n [-11, 6, 1, -9, -13, 11, 7, -6, -3, -3],\n [12, 9, -1, 2, -6, -3, 12, -5, -4, -13],\n [13, 1, 12, -14, 7, 14, -14, 7, -13, -3],\n [12, 8, 8, 13, 5, 3, -3, 12, 8, -14],\n [13, 12, -4, -13, -3, -13, 2, 10, -9, 1],\n [4, 13, -9, -8, 4, 5, 11, 2, -9, 0],\n [7, -6, -13, -10, 6, 8, -10, -3, -5, -11],\n [-3, 0, -5, 13, 3, 9, -10, -2, -11, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "925130042", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (5, 4) of the result:\nA =\n[[3, -8, 4, 0, -2, -9, 10, 3, -3, 10],\n [-8, -5, -8, -10, 2, -2, -3, 8, 11, 2],\n [4, -8, -1, -5, 3, 4, 4, 1, 12, 7],\n [0, -10, -5, 12, 2, -3, -3, 0, 10, -6],\n [-2, 2, 3, 2, 7, -8, -10, 4, -5, 5],\n [-9, -2, 4, -3, -8, 12, 10, 2, 6, 10],\n [10, -3, 4, -3, -10, 10, 5, 0, 5, -6],\n [3, 8, 1, 0, 4, 2, 0, -6, 0, 2],\n [-3, 11, 12, 10, -5, 6, 5, 0, 2, -14],\n [10, 2, 7, -6, 5, 10, -6, 2, -14, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8154783", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[13, -6, -3, -2, 1, 14, -2, 8, -1, -8],\n [-13, -3, 11, 13, 9, 2, 9, -10, 14, 5],\n [-5, 3, -12, -2, -2, -5, 14, -13, 12, 13],\n [1, -11, 4, -10, -8, -6, -10, -7, -13, 7],\n [9, 10, 12, 5, 5, -8, 14, -11, 6, 0],\n [3, -13, 12, -1, -5, -10, -3, -5, 11, 14],\n [3, 13, -9, 13, 7, -3, 9, 13, -14, -8],\n [-3, -8, -6, 5, 0, 8, -3, -2, 7, -11],\n [-5, 13, 9, -12, 9, 14, -10, -11, 4, 0],\n [13, 11, 8, 14, -8, 14, 7, -12, 10, 12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97697066441", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[1, 0, 3, -12, -1, -14, -8, -13, -5, 9],\n [10, 1, -3, 12, 3, -9, 12, 2, -7, 6],\n [-6, 4, -13, -8, -4, 8, -2, -5, 0, 6],\n [-8, 13, -9, 10, -3, -12, 1, 5, -6, -5],\n [-2, -7, 11, -9, 13, -12, -3, -6, -6, -4],\n [-9, -13, -8, -6, 10, 4, 3, -3, 6, -4],\n [-5, 14, 8, -12, -3, -11, -5, -13, -3, 13],\n [-4, -1, 0, -1, 11, 14, -3, 14, -13, 8],\n [-13, -14, 5, 0, 7, -5, 11, 5, -14, -14],\n [10, -14, 8, -4, 13, 13, -3, 0, -1, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4418990210980", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-14, -1, 0, 6, 4, 8, 9, -8, 4, 8],\n [-1, 8, -8, -8, -2, 8, -4, 3, 7, 7],\n [0, -8, 1, 12, 0, 12, -1, 4, -2, -10],\n [6, -8, 12, -1, 4, 8, 2, 11, -4, 2],\n [4, -2, 0, 4, 13, -4, 0, 4, 0, -10],\n [8, 8, 12, 8, -4, -7, -2, 1, 10, -4],\n [9, -4, -1, 2, 0, -2, -11, 10, 6, -6],\n [-8, 3, 4, 11, 4, 1, 10, -14, -4, 6],\n [4, 7, -2, -4, 0, 10, 6, -4, 5, 1],\n [8, 7, -10, 2, -10, -4, -6, 6, 1, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "620448728", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-4, 6, 5, 6, 10, 6, 11, 1, -8, -4],\n [6, -11, 3, -4, 0, 0, -4, 2, -3, -4],\n [5, 3, -12, -4, 4, -8, -6, 0, 2, 6],\n [6, -4, -4, -2, 1, 2, -8, -1, -14, 4],\n [10, 0, 4, 1, 11, -6, 12, 13, 0, 3],\n [6, 0, -8, 2, -6, 7, 3, 2, -1, 4],\n [11, -4, -6, -8, 12, 3, -6, -2, -2, 4],\n [1, 2, 0, -1, 13, 2, -2, 12, -2, 6],\n [-8, -3, 2, -14, 0, -1, -2, -2, 3, 6],\n [-4, -4, 6, 4, 3, 4, 4, 6, 6, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "461305922475", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-12, -1, 6, 1, 8, 11, 5, -9, -14, 5],\n [9, -10, -7, -3, -14, -2, 11, -6, 5, 10],\n [9, -7, -2, 13, -13, 0, -1, 4, 11, -6],\n [4, -1, -7, -10, -8, -11, -7, -11, 6, -14],\n [11, -7, -8, -4, 6, 1, 7, 2, 9, 10],\n [12, -10, 11, -8, -5, -2, 5, 0, -9, -13],\n [-11, 6, -1, 10, 14, 10, 9, 14, 0, 13],\n [-1, -11, -9, -8, -2, 2, 14, 2, -11, 4],\n [11, 5, -2, 14, -6, -13, 5, 8, 3, 9],\n [11, 5, 10, 2, -8, 2, 12, -5, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4088005610", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-1, 10, 8, -7, 10, 10, 0, 5, 3, 6],\n [10, -1, 2, -4, 1, 4, -1, 0, 9, -2],\n [8, 2, -9, -10, 0, 3, -2, 10, 2, -8],\n [-7, -4, -10, 7, 2, -4, -3, 2, 12, 8],\n [10, 1, 0, 2, 8, 1, 0, 11, -2, 2],\n [10, 4, 3, -4, 1, 12, 4, 2, 10, 10],\n [0, -1, -2, -3, 0, 4, -7, 3, 0, 0],\n [5, 0, 10, 2, 11, 2, 3, 1, 8, 5],\n [3, 9, 2, 12, -2, 10, 0, 8, 5, 7],\n [6, -2, -8, 8, 2, 10, 0, 5, 7, -3]], determine the value at position (9, 9).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19956390347", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-8, -6, 3, -1, -11, -7, 1, -11, 13, 4],\n [11, -9, 4, 0, -3, -3, -13, -6, -12, -14],\n [-1, 13, 13, -2, 14, 10, -10, -8, -1, 1],\n [3, -1, -14, -9, 14, 6, -5, -9, -13, -8],\n [2, 12, 9, -1, 8, -8, 7, 11, 6, -6],\n [4, 10, 6, 9, -4, -12, 8, 11, -11, -10],\n [-11, -2, -6, 13, 8, -1, 1, 7, -9, 12],\n [-5, 8, 6, 11, -2, -12, 12, -4, -12, -8],\n [12, -5, -14, -11, 11, -7, 5, 2, -10, 2],\n [-6, -7, -8, -10, -11, 8, -12, -7, -10, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1802270574", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (6, 7) of the result:\nA =\n[[2, 14, 0, 11, 12, -7, -8, 2, -3, 13],\n [-11, 5, 13, 10, 11, 3, -11, -5, -12, 11],\n [-10, -3, 8, -10, -10, -11, 10, -9, -5, -9],\n [12, 7, 7, -14, 1, -4, -9, 5, 3, -9],\n [2, -3, 2, 6, 7, 3, -5, 9, 5, -3],\n [-11, -5, -10, 11, -11, 12, 1, -10, 11, 4],\n [9, -9, 9, 6, -8, -5, -8, 7, -1, 13],\n [-5, 14, 5, 7, 10, -4, -1, -3, -11, -2],\n [7, 7, 14, -12, -2, 5, 4, 0, 4, 11],\n [13, 5, 14, -11, -9, 14, 0, -11, -9, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97310825559", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 4, -4, 2, 0, -8, -10, -3, -2, -7],\n [4, -5, -7, -6, -6, 1, 2, 5, 11, -10],\n [-4, -7, -1, 12, -8, 5, 8, -5, 3, -5],\n [2, -6, 12, -13, 10, -5, 4, 7, 4, -5],\n [0, -6, -8, 10, 7, -8, -8, -4, 0, 0],\n [-8, 1, 5, -5, -8, 7, 0, 7, 3, -6],\n [-10, 2, 8, 4, -8, 0, -14, -3, 5, 4],\n [-3, 5, -5, 7, -4, 7, -3, 2, -8, 4],\n [-2, 11, 3, 4, 0, 3, 5, -8, -12, 10],\n [-7, -10, -5, -5, 0, -6, 4, 4, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "811904815516", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 7) of the 8th power of the matrix:\n[[-4, -1, 6, -5, -7, -9, 4, 8, 4, -3],\n [6, -8, 3, 11, 5, 3, 8, -12, -6, 12],\n [-9, -14, -5, -7, 14, 8, 2, -12, -12, -12],\n [-8, 7, -4, 13, 3, -10, 7, 13, -13, -1],\n [-14, -11, -1, 0, 13, 5, 5, 2, -12, 8],\n [-11, 3, 9, 12, -14, 14, 10, -10, 3, -2],\n [-1, 5, -12, 8, -9, 12, 13, -4, -6, 5],\n [13, 4, -8, 7, 6, -5, -8, -10, 10, 13],\n [-11, 2, 11, 13, -10, 2, 13, 14, 2, 2],\n [-14, 9, -13, 10, 8, 12, 4, -6, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169223497234", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, 4, -10, -2, -11, -2, -9, -3, 14, -6],\n [0, 6, 0, 2, 14, -10, -10, 10, 9, -10],\n [6, -1, -13, -6, -1, 12, 0, -11, 8, 11],\n [-9, -1, -10, 12, -4, 6, -1, -8, -1, -2],\n [3, 10, -13, -6, -4, 5, 14, 11, -4, 11],\n [-9, -14, -10, 7, 10, -1, 10, 1, -6, 4],\n [14, 5, -7, -7, 1, 3, -7, 8, -6, -10],\n [-13, 6, -1, 3, -2, -3, 0, 6, 0, 14],\n [10, 8, 8, -14, 10, 7, -8, -2, 13, 3],\n [-14, -4, -2, 5, 13, -6, 10, 1, -4, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321729715141", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, -4, 2, 0, -1, 0, -10, 11, -4, -8],\n [-4, -10, 0, -4, -4, -6, 2, 8, 4, -10],\n [2, 0, -8, -10, 0, -6, 4, -3, -6, 6],\n [0, -4, -10, -13, -10, 0, 2, -8, 6, 2],\n [-1, -4, 0, -10, -9, -8, -2, -3, -6, -3],\n [0, -6, -6, 0, -8, -5, 8, -8, -11, -1],\n [-10, 2, 4, 2, -2, 8, -9, -10, -2, 2],\n [11, 8, -3, -8, -3, -8, -10, 13, 2, 8],\n [-4, 4, -6, 6, -6, -11, -2, 2, 8, -1],\n [-8, -10, 6, 2, -3, -1, 2, 8, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5317113287", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-1, 1, 0, 6, 4, -4, -4, 12, 4, -1],\n [1, -12, -4, -6, -6, 0, 0, 10, 3, 5],\n [0, -4, -8, 1, -2, -8, -2, -6, 8, -2],\n [6, -6, 1, 11, -7, -11, -4, 8, 4, 0],\n [4, -6, -2, -7, 2, 4, 11, 6, 1, -4],\n [-4, 0, -8, -11, 4, -14, -6, -11, 6, -10],\n [-4, 0, -2, -4, 11, -6, 13, 0, 2, 8],\n [12, 10, -6, 8, 6, -11, 0, 8, -4, 5],\n [4, 3, 8, 4, 1, 6, 2, -4, 5, -1],\n [-1, 5, -2, 0, -4, -10, 8, 5, -1, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305876662909", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-9, 5, -2, 0, 14, 2, 4, -1, -4, -10],\n [5, -14, -2, 2, -2, -2, -6, -2, 2, 8],\n [-2, -2, 13, -2, -2, -11, -2, -3, 4, 0],\n [0, 2, -2, -11, 6, -8, -10, -2, 2, 8],\n [14, -2, -2, 6, 14, 2, -12, 12, 7, 8],\n [2, -2, -11, -8, 2, 1, 5, 6, 10, -2],\n [4, -6, -2, -10, -12, 5, -7, -7, 8, -6],\n [-1, -2, -3, -2, 12, 6, -7, -4, -10, -4],\n [-4, 2, 4, 2, 7, 10, 8, -10, 2, -12],\n [-10, 8, 0, 8, 8, -2, -6, -4, -12, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33044432757", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 10) of the 8th power of the matrix:\n[[9, -9, -9, 13, 1, -13, 14, 1, -12, 7],\n [1, -3, -12, -4, -4, 8, 1, -10, 5, -7],\n [-4, -4, 3, 4, -5, 13, -11, 13, -5, -1],\n [-9, -10, 0, -10, 8, 9, -9, 4, 5, 2],\n [-1, -4, -1, -10, -2, -3, 11, 9, 4, -5],\n [-2, 0, 5, -2, -11, 7, -6, 11, 4, 5],\n [7, 7, -8, 0, 2, -1, -1, -6, 1, -13],\n [-1, -11, -12, -12, -4, -10, 1, 8, 14, 13],\n [8, 8, 4, -6, 7, -4, -3, 12, 11, 12],\n [-7, -1, 2, 5, 0, 0, 8, -3, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51875338854", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[4, -4, -2, 12, -4, 0, -9, -9, 4, -9],\n [-4, -6, -6, -2, -8, 0, -4, -1, -7, -2],\n [-2, -6, -7, 7, 12, -6, 1, 6, 8, 12],\n [12, -2, 7, 4, -2, 9, -2, 2, -4, 5],\n [-4, -8, 12, -2, 9, 0, 0, -1, 2, -4],\n [0, 0, -6, 9, 0, 3, 2, 8, -6, -8],\n [-9, -4, 1, -2, 0, 2, 10, 1, 3, -2],\n [-9, -1, 6, 2, -1, 8, 1, 5, 2, 2],\n [4, -7, 8, -4, 2, -6, 3, 2, -9, 13],\n [-9, -2, 12, 5, -4, -8, -2, 2, 13, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2423966092", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[13, 1, 0, -6, 5, 0, -13, 5, -1, 13],\n [11, -4, -12, -13, 3, -1, 9, 14, -10, -3],\n [-1, -9, -7, -8, -8, -3, 14, -8, -3, 12],\n [1, 12, -8, -7, -14, -2, 4, -14, 9, 3],\n [-8, 7, 12, 2, 13, 0, 7, 10, 4, 13],\n [8, -11, 2, -8, 1, 2, 12, 5, 14, 0],\n [-6, 6, 8, -2, -8, 13, 4, 14, -4, -7],\n [2, -11, 11, -11, 3, 7, 2, -12, -6, 13],\n [11, -9, -13, 13, -3, 0, -6, 14, -13, -3],\n [1, -8, -14, 6, -8, -12, 5, -10, -12, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423290851405", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-9, 0, -4, 0, 5, -6, -12, -3, 0, 0],\n [0, 12, -2, 1, -8, 6, -4, 10, -11, 9],\n [-4, -2, -13, -6, -5, -6, 6, 4, -10, -4],\n [0, 1, -6, 8, 1, -6, 6, -4, 4, -6],\n [5, -8, -5, 1, 9, -8, 0, 7, 8, 3],\n [-6, 6, -6, -6, -8, 0, 0, 4, 4, 6],\n [-12, -4, 6, 6, 0, 0, -4, 6, 12, -6],\n [-3, 10, 4, -4, 7, 4, 6, -1, -6, 8],\n [0, -11, -10, 4, 8, 4, 12, -6, -4, -4],\n [0, 9, -4, -6, 3, 6, -6, 8, -4, -8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513023647754", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[4, 11, -11, 5, 9, 2, 9, -6, -4, 8],\n [-14, -8, 7, -10, -10, -14, -9, -2, 0, -11],\n [2, 13, 9, 9, 13, -2, -4, -11, 14, -8],\n [4, 9, -8, -1, 6, 1, 6, -6, 7, 7],\n [-13, 12, 1, -10, -3, 5, 11, 0, -12, -6],\n [12, 13, -8, -11, 10, -6, 13, 0, 8, 6],\n [14, 10, 14, -8, 10, -4, 4, -4, 10, -14],\n [6, -2, -2, -13, 2, 4, 8, 0, 4, -5],\n [-5, 12, -6, 4, -4, -9, -13, 9, -5, 0],\n [-10, 3, -8, -12, 6, 12, 10, 1, 2, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "334788509015", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[1, 0, 1, 0, 6, 6, -3, -2, 2, -4],\n [0, -13, 5, -2, 0, -6, -1, 6, -2, -10],\n [1, 5, 2, 12, 4, -6, -8, -4, -4, -1],\n [0, -2, 12, 4, 10, -7, -1, 0, 0, -4],\n [6, 0, 4, 10, 1, 0, -10, 2, -1, -2],\n [6, -6, -6, -7, 0, -1, 13, -11, -1, 4],\n [-3, -1, -8, -1, -10, 13, 5, -2, 0, 10],\n [-2, 6, -4, 0, 2, -11, -2, 12, -2, -10],\n [2, -2, -4, 0, -1, -1, 0, -2, -5, -6],\n [-4, -10, -1, -4, -2, 4, 10, -10, -6, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78295230", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 10) of the 7th power of the matrix:\n[[-8, 0, -10, 12, -8, 6, 7, 5, 4, 7],\n [0, -9, -4, -4, 6, 5, -1, 6, -6, -8],\n [-10, -4, -9, -2, -3, 2, 1, 0, 4, 8],\n [12, -4, -2, 13, -6, -2, 2, -7, -10, -10],\n [-8, 6, -3, -6, -14, -2, 8, 8, 6, 13],\n [6, 5, 2, -2, -2, -13, 5, 13, 1, 0],\n [7, -1, 1, 2, 8, 5, -2, 2, 0, 6],\n [5, 6, 0, -7, 8, 13, 2, 3, 7, -10],\n [4, -6, 4, -10, 6, 1, 0, 7, 8, 4],\n [7, -8, 8, -10, 13, 0, 6, -10, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10573665007", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[11, 2, -6, 0, 10, 2, 0, -4, 0, -5],\n [2, 4, -4, 0, -9, 0, -12, 6, -5, 2],\n [-6, -4, -10, 0, 4, -8, 12, 2, 3, -9],\n [0, 0, 0, -13, 6, 6, 0, 8, 10, -2],\n [10, -9, 4, 6, -6, -4, -2, -7, 10, 2],\n [2, 0, -8, 6, -4, 3, 8, 6, -6, -6],\n [0, -12, 12, 0, -2, 8, 9, -2, 2, -10],\n [-4, 6, 2, 8, -7, 6, -2, 9, 5, 2],\n [0, -5, 3, 10, 10, -6, 2, 5, 12, 3],\n [-5, 2, -9, -2, 2, -6, -10, 2, 3, 9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292677761113", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 10) of the 6th power of the matrix:\n[[-6, -9, -1, 4, -4, 2, 7, -6, -6, 10],\n [-9, -9, 0, 4, 4, -1, -2, -2, 8, -3],\n [-1, 0, -4, 8, -12, -10, -6, 0, 2, 6],\n [4, 4, 8, -7, -12, 7, 0, -2, 5, -2],\n [-4, 4, -12, -12, 10, -2, 9, -3, -6, 1],\n [2, -1, -10, 7, -2, 10, -8, -2, -12, -6],\n [7, -2, -6, 0, 9, -8, -10, 6, -2, -2],\n [-6, -2, 0, -2, -3, -2, 6, 8, 0, 4],\n [-6, 8, 2, 5, -6, -12, -2, 0, -5, -10],\n [10, -3, 6, -2, 1, -6, -2, 4, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27990663", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-6, 12, -11, 7, 4, -6, 8, 8, 5, -9],\n [12, -4, 9, 0, 7, -9, 5, 9, -5, 9],\n [10, 7, 3, 1, -11, 5, -2, 9, -10, 5],\n [9, 14, 4, 3, 5, 12, 2, 1, -14, 6],\n [14, 12, -14, 5, 9, -1, 9, -13, 0, 14],\n [-12, -2, 4, -14, -2, 0, 1, -4, -12, -7],\n [-9, -10, 11, 13, 0, -6, 8, 7, -10, 6],\n [-5, 10, 14, 11, -9, 13, -4, -11, 5, -3],\n [5, 12, -9, -14, 10, 3, -13, -10, 1, -3],\n [-3, -4, 5, 4, 6, -8, 11, -13, 14, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23949920678983", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-9, -4, 0, 6, 3, -2, -8, 6, -10, 8],\n [-4, -8, -7, 6, 10, 2, -4, -8, -2, 6],\n [0, -7, -3, -2, -3, -8, -1, 2, 2, 0],\n [6, 6, -2, -13, 6, 8, -10, -1, 4, 2],\n [3, 10, -3, 6, 1, -2, 4, -2, 10, -2],\n [-2, 2, -8, 8, -2, 12, -7, -3, -6, -3],\n [-8, -4, -1, -10, 4, -7, -5, 4, 8, 8],\n [6, -8, 2, -1, -2, -3, 4, -7, 6, 6],\n [-10, -2, 2, 4, 10, -6, 8, 6, -13, 8],\n [8, 6, 0, 2, -2, -3, 8, 6, 8, -2]], determine the value at position (2, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4628659620", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[2, 12, -14, 6, 13, 13, -10, 13, 10, 5],\n [6, -2, -9, 14, -5, 8, -6, 14, -9, -14],\n [9, 3, 10, 12, 8, -8, 11, -5, -3, 6],\n [9, 11, 0, 2, -12, 10, 0, -14, -4, 9],\n [-9, 13, 14, 1, 11, 6, -3, 7, 12, 6],\n [0, 10, 3, -5, 7, -3, 5, 4, 13, -10],\n [3, 4, 8, -3, -14, -13, -12, 11, 14, -3],\n [-1, -8, -11, -3, 9, -7, -14, -10, -14, 0],\n [-2, 14, 8, -2, -11, 0, -3, -7, 1, -3],\n [9, 10, 12, -9, 8, 0, -8, -10, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3834051066454", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[10, 10, -2, 2, 2, -3, 7, -10, -8, 4],\n [10, 13, 0, -4, 0, 3, 8, 8, -8, 6],\n [-2, 0, 6, 6, -2, 6, -6, 2, -6, 5],\n [2, -4, 6, -11, -4, 8, -4, 0, -10, -4],\n [2, 0, -2, -4, -1, 0, 0, -4, 6, -1],\n [-3, 3, 6, 8, 0, -14, 10, -6, -6, -10],\n [7, 8, -6, -4, 0, 10, -14, 12, -4, 0],\n [-10, 8, 2, 0, -4, -6, 12, -10, -7, -5],\n [-8, -8, -6, -10, 6, -6, -4, -7, 6, 2],\n [4, 6, 5, -4, -1, -10, 0, -5, 2, 13]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4054526346738", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[11, -7, 0, 12, 8, -6, -4, 3, 10, -3],\n [-7, 13, 2, 1, -4, -2, -4, 9, 6, -6],\n [0, 2, -7, 0, -11, 0, -4, -8, -1, 0],\n [12, 1, 0, -6, -6, -9, 8, -2, 2, -4],\n [8, -4, -11, -6, 13, 9, -7, 10, -7, 2],\n [-6, -2, 0, -9, 9, 10, -8, -3, -6, 0],\n [-4, -4, -4, 8, -7, -8, 10, 4, 0, -4],\n [3, 9, -8, -2, 10, -3, 4, -14, 1, 2],\n [10, 6, -1, 2, -7, -6, 0, 1, 7, -4],\n [-3, -6, 0, -4, 2, 0, -4, 2, -4, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19199580688", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (7, 9) of the result:\nA =\n[[0, 6, 2, -8, -7, 2, 6, 13, 13, 0],\n [6, 12, 10, 6, 0, 6, 0, -6, -8, -1],\n [2, 10, 13, -6, -4, 0, 4, -6, -12, -9],\n [-8, 6, -6, 11, 1, -4, -8, 10, -6, -3],\n [-7, 0, -4, 1, -10, 2, 4, -5, 0, -1],\n [2, 6, 0, -4, 2, 14, 4, -8, -2, 0],\n [6, 0, 4, -8, 4, 4, 1, 2, -2, -2],\n [13, -6, -6, 10, -5, -8, 2, 4, 10, -2],\n [13, -8, -12, -6, 0, -2, -2, 10, 13, -6],\n [0, -1, -9, -3, -1, 0, -2, -2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242367031832", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (10, 2) of the result:\nA =\n[[1, -4, -5, -4, -10, -8, 12, -2, 3, 2],\n [-4, 10, -5, 14, -8, 2, -8, -5, -13, -10],\n [-5, -5, -9, -2, 12, -6, 8, -8, 5, -6],\n [-4, 14, -2, 5, 4, 1, 11, -10, 5, -5],\n [-10, -8, 12, 4, -11, 0, -2, -6, 10, -2],\n [-8, 2, -6, 1, 0, 13, 6, 12, 2, -4],\n [12, -8, 8, 11, -2, 6, -9, 2, 3, -7],\n [-2, -5, -8, -10, -6, 12, 2, 11, -10, -8],\n [3, -13, 5, 5, 10, 2, 3, -10, -9, -4],\n [2, -10, -6, -5, -2, -4, -7, -8, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8208152867", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (6, 3) of the result:\nA =\n[[-12, -5, -6, 2, 0, -12, 12, 6, -12, -11],\n [-11, 2, -9, -4, -3, 8, 13, -8, -2, -9],\n [8, -12, 6, -1, -1, 8, -5, -10, 11, -13],\n [-9, 8, -4, 3, 11, 9, 6, -4, 9, 0],\n [-12, -13, -8, -10, 6, -2, -7, 14, -6, -7],\n [-5, -13, -5, -4, 8, -4, -10, -1, 8, -12],\n [5, 8, -13, 3, -14, -14, 13, 2, -9, -2],\n [6, 11, 9, 6, -14, 13, 9, -9, -7, -2],\n [-13, 11, -7, 7, -14, -2, -14, -5, 13, -10],\n [8, 5, -2, 11, -10, -5, -12, -13, -13, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237738875580", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, -12, 7, 2, -9, 10, -10, -10, 1, 12],\n [-12, -7, 4, 0, 1, 8, 10, -8, 2, 10],\n [7, 4, -10, 5, 0, 7, 2, -2, -7, -7],\n [2, 0, 5, 7, 4, -7, 8, -8, 4, -6],\n [-9, 1, 0, 4, 2, -2, 8, -5, -8, -9],\n [10, 8, 7, -7, -2, -6, 2, -10, 6, 0],\n [-10, 10, 2, 8, 8, 2, 0, -6, -4, 6],\n [-10, -8, -2, -8, -5, -10, -6, 13, 5, 8],\n [1, 2, -7, 4, -8, 6, -4, 5, 14, -7],\n [12, 10, -7, -6, -9, 0, 6, 8, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1665016482450", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-3, -1, -13, 11, -8, 1, -6, -14, -3, -13],\n [12, 7, 3, -1, -3, 3, -10, -8, -11, -2],\n [1, 7, 13, 1, 4, -11, 5, 5, 13, -14],\n [-2, 5, 5, 7, -6, -5, -9, 7, -8, 8],\n [1, 2, 9, -14, -6, -1, 0, -11, 10, -7],\n [10, 0, 7, 10, -11, 4, -12, -7, -13, 13],\n [7, 10, 10, -7, -7, 2, 1, 1, 1, 12],\n [-8, 0, 2, 10, -12, -14, -7, -8, 3, 8],\n [-10, 0, -8, -5, 1, 13, 8, -13, 3, 0],\n [8, 4, 5, -1, 8, -13, 14, 3, -6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6188775911", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-14, 1, -3, -3, 4, -5, 5, -10, -12, -6],\n [6, 8, 0, -1, -4, -2, -8, 12, 10, -13],\n [-12, 5, -7, -14, 10, 6, -11, -2, 9, -1],\n [-6, -12, -1, -11, 2, 0, -3, -1, 4, -5],\n [-10, 14, 9, 2, 2, -12, 1, 10, -6, 2],\n [5, -3, 9, -13, 5, 1, 8, 8, 6, 8],\n [-9, -13, -6, -10, 3, 7, 11, 6, 3, 14],\n [-5, -5, 8, -5, 14, 3, 1, 8, -9, -3],\n [13, -11, 5, 1, 13, 7, 10, 11, 7, 7],\n [-4, -14, -10, 2, -4, -1, -6, -5, -11, -13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260367722473", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 3) of the matrix A^8 where A is:\n[[10, -7, 3, 14, 8, -12, 2, -6, -2, -7],\n [-7, -9, 6, 2, 6, -6, 6, -3, 6, 0],\n [3, 6, 1, 8, -10, 0, -1, 10, 8, -2],\n [14, 2, 8, -11, 8, -1, -3, 8, 0, -2],\n [8, 6, -10, 8, -10, 0, 5, -2, 4, -10],\n [-12, -6, 0, -1, 0, 11, 6, 4, -3, -3],\n [2, 6, -1, -3, 5, 6, -9, 6, -10, 7],\n [-6, -3, 10, 8, -2, 4, 6, 8, -8, -2],\n [-2, 6, 8, 0, 4, -3, -10, -8, -2, -6],\n [-7, 0, -2, -2, -10, -3, 7, -2, -6, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55153743326", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, -7, -10, -7, -10, -5, 0, -9, 9, 3],\n [8, -12, -6, -5, -8, 4, 9, 11, -13, 11],\n [13, -7, -8, 13, -10, -11, -4, 11, 13, -5],\n [-14, 14, -11, 7, -9, 3, 10, -2, -2, -14],\n [-11, -11, 3, 9, 12, 3, 3, 0, 3, 0],\n [2, 14, -10, -4, 1, 5, -13, 2, -14, 3],\n [2, 10, 3, 4, 10, -10, -2, 9, 8, -9],\n [-2, 3, 14, -11, -6, 8, -12, 7, 9, 9],\n [-7, -2, 9, 11, 7, -4, -5, -4, -12, 10],\n [-1, -1, 4, 13, 13, -11, 11, -14, -13, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1319354009", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-2, 4, 0, -14, 6, 0, -4, 2, 6, -12],\n [4, -3, 6, 10, -10, 10, 0, -2, 0, 3],\n [0, 6, -2, -6, 0, -2, -6, -6, -9, 2],\n [-14, 10, -6, -10, 10, 10, 0, 11, 2, 3],\n [6, -10, 0, 10, -11, -2, -7, 6, -4, 9],\n [0, 10, -2, 10, -2, -11, -6, 0, 8, -4],\n [-4, 0, -6, 0, -7, -6, 4, -12, 4, 0],\n [2, -2, -6, 11, 6, 0, -12, -5, 2, 2],\n [6, 0, -9, 2, -4, 8, 4, 2, -13, 8],\n [-12, 3, 2, 3, 9, -4, 0, 2, 8, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "777351792", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, 8, 0, -8, 4, -8, 4, -6, -7, -2],\n [8, -12, 4, -2, -2, 0, 0, 3, -7, 6],\n [0, 4, -4, 4, -1, 0, -10, -3, -2, -5],\n [-8, -2, 4, 9, 10, 5, -4, 2, -6, -8],\n [4, -2, -1, 10, -9, -6, 4, 2, -8, -2],\n [-8, 0, 0, 5, -6, 2, -6, 4, -3, -9],\n [4, 0, -10, -4, 4, -6, -14, -2, -2, 0],\n [-6, 3, -3, 2, 2, 4, -2, -12, 2, -4],\n [-7, -7, -2, -6, -8, -3, -2, 2, 3, 6],\n [-2, 6, -5, -8, -2, -9, 0, -4, 6, -9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166371093214", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[10, 10, -4, -1, 2, 13, -8, 7, -11, -4],\n [4, -6, 11, 6, -7, 5, -11, 1, -9, -9],\n [4, -13, -4, 10, 3, -6, 13, 1, -4, -1],\n [-7, 12, -2, -5, 8, -3, 6, 14, -12, -13],\n [-4, 9, 3, 9, 6, 10, -11, -7, 14, -4],\n [0, 8, 13, 9, 6, -13, 8, 4, 0, 14],\n [11, 11, 11, 13, 12, 11, -2, -13, -12, -1],\n [5, 11, -2, 12, 8, 11, 1, -3, -14, -9],\n [-2, 7, 9, -13, 3, 2, 4, 8, 0, -7],\n [8, -6, -7, -7, -4, 3, 2, 7, 8, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3145748362271", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, 5, -1, -13, -6, -8, 6, 0, 4, 4],\n [5, -1, 12, -1, 0, 6, -2, 2, -11, 9],\n [-1, 12, 1, 9, -6, -1, 6, 10, -3, 0],\n [-13, -1, 9, -4, -10, 12, 0, -2, 6, -8],\n [-6, 0, -6, -10, 12, 6, 6, -5, 3, -12],\n [-8, 6, -1, 12, 6, 9, -2, -2, 8, -6],\n [6, -2, 6, 0, 6, -2, 10, -1, -3, 6],\n [0, 2, 10, -2, -5, -2, -1, -5, -2, -8],\n [4, -11, -3, 6, 3, 8, -3, -2, 11, -4],\n [4, 9, 0, -8, -12, -6, 6, -8, -4, 13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33991880574", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 9, 6, 2, -1, 6, -2, -7, 6, 0],\n [9, -8, -2, 8, -4, -6, 0, -1, 4, 11],\n [6, -2, -8, -10, 10, -2, 3, -8, 6, -2],\n [2, 8, -10, 3, -1, 12, 0, -10, -4, 0],\n [-1, -4, 10, -1, -4, 2, -12, 0, 14, -6],\n [6, -6, -2, 12, 2, 6, 9, -12, 12, -8],\n [-2, 0, 3, 0, -12, 9, 3, -10, -2, 1],\n [-7, -1, -8, -10, 0, -12, -10, -14, -7, -4],\n [6, 4, 6, -4, 14, 12, -2, -7, -10, -10],\n [0, 11, -2, 0, -6, -8, 1, -4, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16589301844", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 7, 13, -2, -14, 1, 5, -7, 2, -9],\n [-13, -2, 10, -7, 10, -6, -2, 3, 3, -6],\n [-13, -11, 3, 2, -3, 1, -2, -4, -1, -5],\n [8, 13, 12, 6, 4, 9, 6, 2, -6, -1],\n [-10, -12, 7, -7, 3, 12, -12, 8, -13, 12],\n [-4, 13, -10, 10, -8, -1, 14, 4, -13, 11],\n [-6, 10, 10, -5, 4, 2, 10, -8, 3, -9],\n [12, -6, -7, 12, 13, 7, 7, 9, -6, 9],\n [-14, -13, 7, 9, -11, 13, 5, 14, 3, -5],\n [-14, -5, -6, 8, 10, -2, 0, 3, 11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7665452481", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-10, -13, 11, -8, -6, 4, -1, 2, 5, 5],\n [-4, 7, -10, -3, 14, 6, -6, 14, 12, 2],\n [-7, 9, 12, -7, 14, -3, 14, 4, -5, 9],\n [-13, 9, 13, -7, -1, 4, -11, -6, -2, -6],\n [11, -2, 10, 1, 11, 7, -14, -7, 14, -6],\n [9, -2, 2, 13, 7, 10, -6, -8, 8, 5],\n [8, -5, 6, 12, 11, -10, 2, -13, -6, -13],\n [-5, 12, -3, -13, 0, 10, -12, -13, -8, 13],\n [-6, -4, 14, 7, 13, 1, -8, 14, -2, -12],\n [-4, -12, 0, -7, -8, -10, -9, 10, 4, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134957177873", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 8) of the 7th power of the matrix:\n[[-12, -4, -9, 12, 9, 6, -1, 2, -12, 14],\n [9, -11, -6, -2, -9, -5, 5, 5, 11, 6],\n [-2, 8, -1, -3, 8, -2, -5, -8, -10, -3],\n [14, 10, -13, -7, 11, -7, 4, -10, -7, -5],\n [-2, -6, -8, 5, 5, 4, -4, -7, 7, 1],\n [-5, -9, -5, -5, 10, 12, 4, -11, 4, -12],\n [2, -1, -5, -9, 1, -6, 6, -3, -3, 13],\n [-1, 11, -13, -5, -11, 13, -9, 8, 13, 14],\n [-2, 8, -1, -11, -5, -5, -10, 14, -11, -3],\n [11, 7, 12, -1, -8, -13, -1, -5, 13, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1605761680", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-12, 8, -2, 8, 14, -4, 0, 9, 2, 0],\n [8, 11, 0, -8, 6, 6, -4, -4, -2, 2],\n [-2, 0, -14, -8, -5, -4, 7, 2, 0, 2],\n [8, -8, -8, -3, 0, -4, 7, -8, -1, 6],\n [14, 6, -5, 0, -14, 8, 2, -8, 8, 6],\n [-4, 6, -4, -4, 8, -10, -10, 10, 4, 4],\n [0, -4, 7, 7, 2, -10, 5, 10, 5, -3],\n [9, -4, 2, -8, -8, 10, 10, -1, 10, -6],\n [2, -2, 0, -1, 8, 4, 5, 10, 1, -1],\n [0, 2, 2, 6, 6, 4, -3, -6, -1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495446942772", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[3, 6, -7, 10, -7, 1, -3, -10, -3, 2],\n [6, 7, -10, -6, 0, 2, -4, -12, -2, 3],\n [-7, -10, 9, -11, 12, 3, -2, 0, -7, -7],\n [10, -6, -11, -6, -2, 10, 10, 9, -2, 3],\n [-7, 0, 12, -2, -13, 4, -12, 1, 10, -13],\n [1, 2, 3, 10, 4, 1, -1, -2, 8, 0],\n [-3, -4, -2, 10, -12, -1, -1, -1, -5, 2],\n [-10, -12, 0, 9, 1, -2, -1, -14, 0, 4],\n [-3, -2, -7, -2, 10, 8, -5, 0, 4, -7],\n [2, 3, -7, 3, -13, 0, 2, 4, -7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32331894812", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[11, 6, -6, 5, -8, -7, -5, -6, 2, -3],\n [6, 6, -6, 6, -10, -1, 2, 6, 8, -10],\n [-6, -6, 6, 4, 0, 0, 0, -8, 2, 4],\n [5, 6, 4, -14, -9, 0, 6, 6, 6, -4],\n [-8, -10, 0, -9, -13, 5, -7, -6, -2, -10],\n [-7, -1, 0, 0, 5, 4, -3, -8, 12, 1],\n [-5, 2, 0, 6, -7, -3, 7, -4, -4, 0],\n [-6, 6, -8, 6, -6, -8, -4, 14, -3, 4],\n [2, 8, 2, 6, -2, 12, -4, -3, -4, 2],\n [-3, -10, 4, -4, -10, 1, 0, 4, 2, 10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9293381835317", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[7, -6, -4, -13, 12, 3, 7, -12, 3, 1],\n [-7, 8, -7, -9, 10, 10, -13, 1, 11, 6],\n [-6, 4, 6, 0, 9, -13, 0, 7, -4, 5],\n [-3, 0, 1, 13, -9, -12, -9, 8, 11, -12],\n [6, -2, -3, -7, -13, -8, 14, 2, -8, -14],\n [-11, 0, -11, -3, 1, 6, 3, -1, -1, 13],\n [-4, 13, 1, 0, 7, -9, 9, -2, 11, 13],\n [2, -11, -3, 3, 12, -7, -3, -11, -7, 14],\n [-13, 14, -11, -3, 10, 6, 7, -5, 0, 13],\n [-6, -6, -8, 12, -13, -8, -6, 3, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-482971686234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-8, -4, 9, 6, 4, 2, 4, 0, -2, -9],\n [-4, 14, -1, 5, -8, -4, -1, -8, 7, 10],\n [9, -1, 9, -8, 11, -2, -6, -8, -2, 0],\n [6, 5, -8, 14, 4, 2, 8, 1, -12, 12],\n [4, -8, 11, 4, -14, -2, 0, 6, -10, 8],\n [2, -4, -2, 2, -2, -11, 2, 2, 10, -2],\n [4, -1, -6, 8, 0, 2, -1, 6, 3, 5],\n [0, -8, -8, 1, 6, 2, 6, -6, -5, 7],\n [-2, 7, -2, -12, -10, 10, 3, -5, -14, -2],\n [-9, 10, 0, 12, 8, -2, 5, 7, -2, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8855007922809", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-3, 4, -1, 4, 12, 2, 13, 1, 4, -10],\n [7, 4, -11, -10, -10, 10, 9, -14, 3, 13],\n [0, 6, 13, 4, 8, -1, 12, -9, 3, -7],\n [-10, 7, -7, 14, -9, -5, -12, -2, -8, -11],\n [-2, -9, 1, 7, 12, 6, 14, -14, 9, -2],\n [11, -13, 5, 14, 13, 4, -9, -4, 2, -6],\n [-10, -10, 1, -11, 5, 14, -2, 2, -6, 10],\n [-2, 1, 5, -5, -5, 5, 13, 1, 8, 5],\n [-14, -4, -2, 10, 3, -10, -11, 9, -9, 0],\n [8, -13, -11, -1, -11, 13, 14, 3, 11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "314645726793", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[1, -6, -4, -6, -1, 4, 4, 1, 4, -6],\n [-6, -7, 4, 3, 9, -4, -2, -4, -6, 12],\n [-4, 4, 7, 4, -4, 0, 8, -10, -11, 2],\n [-6, 3, 4, -1, -3, -3, 5, 8, -9, 10],\n [-1, 9, -4, -3, 6, 0, 10, -6, 0, -5],\n [4, -4, 0, -3, 0, 0, 8, -3, 5, -10],\n [4, -2, 8, 5, 10, 8, -1, -4, 6, -6],\n [1, -4, -10, 8, -6, -3, -4, 8, 5, 2],\n [4, -6, -11, -9, 0, 5, 6, 5, -13, -7],\n [-6, 12, 2, 10, -5, -10, -6, 2, -7, -8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11491921456", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[12, -3, 2, -4, -5, -14, -6, 10, -9, 4],\n [-3, -2, 2, -3, -4, -1, -2, 4, 8, 0],\n [2, 2, -11, -4, 0, -4, -8, 4, -13, -9],\n [-4, -3, -4, 12, 4, 0, 0, -7, -4, 6],\n [-5, -4, 0, 4, 7, -2, -4, -9, -6, 4],\n [-14, -1, -4, 0, -2, 10, 0, -4, 8, -6],\n [-6, -2, -8, 0, -4, 0, 8, 10, 0, -8],\n [10, 4, 4, -7, -9, -4, 10, 14, 6, 9],\n [-9, 8, -13, -4, -6, 8, 0, 6, -11, -2],\n [4, 0, -9, 6, 4, -6, -8, 9, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31595068304905", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[5, 6, 5, -5, 11, 8, 9, -3, -7, -12],\n [14, 6, -5, 9, -8, 10, 14, -5, -8, 3],\n [5, 13, -1, -3, -7, 10, -8, -10, -14, 0],\n [-6, -3, 7, 3, -4, -5, -5, 3, 11, -14],\n [13, 5, 11, -4, 14, -13, 11, -4, 10, -13],\n [12, -6, -14, 8, -9, 7, -13, 0, -14, 11],\n [9, 9, 3, -11, 14, -2, -11, 0, -13, 12],\n [-6, -3, -1, 5, -11, 0, -11, -10, -5, -3],\n [-3, -7, -11, -12, 12, -14, 3, 5, 10, -1],\n [2, -9, -9, -5, 4, -5, 10, 11, -12, -14]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "970821028300", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (5, 10) of the result:\nA =\n[[3, 0, 5, -11, 3, -5, 7, 7, 4, 2],\n [-5, 10, -11, 10, -10, -8, 4, 4, -7, -14],\n [9, -7, 4, 2, -6, 5, 8, 1, -6, 4],\n [1, 6, 11, 12, -2, 4, -10, 12, -13, -11],\n [-3, 3, -12, 6, 10, 4, 11, 7, -11, -11],\n [1, -4, 14, 11, 11, -2, 6, -4, -8, 12],\n [-1, -11, -7, -3, -2, 10, -6, -6, -13, -12],\n [6, -3, 2, -11, 12, -1, 6, -6, -7, -14],\n [-2, 13, -12, -1, 4, 12, -9, -11, 5, -14],\n [13, -5, -2, -3, -4, -11, 2, 0, 6, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270539935916", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-12, 14, -5, 6, -1, 4, 6, -11, 10, -1],\n [-9, -3, 11, -13, 2, -14, 2, 10, -10, 1],\n [-1, 5, -5, 6, 10, -12, -12, 13, 3, 9],\n [8, 3, -11, -8, -14, 1, 2, -7, -9, -13],\n [11, -5, 2, 4, 13, -11, -2, 6, 12, 11],\n [4, 1, -2, -10, -3, -8, 12, -6, -10, -11],\n [-5, 1, -4, 14, -6, 9, -10, 10, -4, -6],\n [2, 13, 7, -4, 6, -9, 11, 1, 4, -1],\n [-12, -5, 6, 8, -11, 7, 6, -13, -2, -4],\n [-3, -14, 7, 6, -6, -3, -8, 2, 14, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33267411667", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-9, 12, -6, 2, 0, 4, 4, -4, -6, -12],\n [12, -5, 6, 0, 8, 11, 3, 4, -5, 6],\n [-6, 6, 4, 4, -2, -4, 0, 2, -12, 12],\n [2, 0, 4, -13, 6, -5, 6, -2, -5, 0],\n [0, 8, -2, 6, 10, 0, 8, 2, 8, 0],\n [4, 11, -4, -5, 0, 0, 0, -6, -2, 4],\n [4, 3, 0, 6, 8, 0, 12, 0, -11, -8],\n [-4, 4, 2, -2, 2, -6, 0, -5, 8, 4],\n [-6, -5, -12, -5, 8, -2, -11, 8, -3, 10],\n [-12, 6, 12, 0, 0, 4, -8, 4, 10, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1264046766", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[9, -12, 1, -13, -9, 13, 2, -3, -6, 1],\n [-8, -7, -8, 6, -10, 8, -8, 3, 3, 1],\n [-8, 6, -13, 2, 10, 12, -7, -13, 3, 4],\n [5, -6, -3, 7, 4, -7, 7, -7, -5, 13],\n [3, 0, 9, -4, 6, 11, -1, 0, -1, -3],\n [-11, -12, -3, 10, 11, -8, -8, 7, 10, 4],\n [-1, -14, -8, 10, 7, -5, 3, -2, -7, -6],\n [11, 0, -7, 10, -14, -12, 4, -6, 4, 0],\n [-1, 11, -14, -12, -13, 10, -14, 12, 3, -14],\n [-6, -8, -2, 2, -2, -2, -5, 13, -9, -10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2036733813366", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-5, -1, -4, -10, -11, -12, -1, -2, 9, 8],\n [-10, -3, 10, 13, 8, -5, -13, -8, -8, -11],\n [-3, 13, 9, -11, -8, 5, -2, -7, -1, -12],\n [-13, -5, -9, 8, -8, 1, -9, 1, 12, 9],\n [-3, 7, 0, 7, -12, 13, 1, 3, 0, 8],\n [-9, 2, -13, -13, 2, 4, -10, -11, 13, 3],\n [-7, -6, 9, 8, 11, 3, 7, -4, 1, 1],\n [-11, 6, -6, -2, 10, 5, -7, -4, 6, -6],\n [3, 5, -12, 8, 3, 4, -6, 9, 3, 7],\n [1, -1, 4, 13, 14, 7, 0, 6, 11, -11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14465361938725", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 3) of the 7th power of the matrix:\n[[-3, -8, -4, 11, -8, 5, -12, -11, -13, 5],\n [0, 5, -3, 6, 2, 3, -7, 9, -7, -10],\n [9, -6, 5, 5, 8, -10, 12, -5, -14, 9],\n [-11, 9, 1, 3, 13, -3, 5, 0, 3, -10],\n [11, 11, -1, 9, 12, -8, -4, 0, 6, -4],\n [-8, 6, 8, 5, 5, 11, -11, 12, 9, -14],\n [11, 6, 13, 11, -13, 11, -11, -10, 9, -13],\n [-13, 3, 9, 13, -1, -12, 6, 3, 7, -5],\n [-9, -13, 5, -4, 3, -1, 11, 5, -2, 14],\n [12, -8, 6, 11, 5, -5, 11, 4, 14, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33039213", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-2, 0, -8, 0, 3, -7, -6, 3, -3, 3],\n [0, 1, 2, 10, -4, 7, -8, -4, -2, -7],\n [-8, 2, -11, -4, 6, -2, -6, 10, -13, 4],\n [0, 10, -4, 3, -3, 4, 0, 4, 8, -1],\n [3, -4, 6, -3, 13, -7, -4, 7, 2, 2],\n [-7, 7, -2, 4, -7, -5, -1, 4, 6, -4],\n [-6, -8, -6, 0, -4, -1, -13, -2, 12, -6],\n [3, -4, 10, 4, 7, 4, -2, -12, 2, 10],\n [-3, -2, -13, 8, 2, 6, 12, 2, -3, 9],\n [3, -7, 4, -1, 2, -4, -6, 10, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23722126358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (1, 6) of the result:\nA =\n[[-5, 6, 10, -4, 10, -2, 0, -3, -5, -6],\n [6, -9, 2, 6, 8, -2, 2, -2, -2, 0],\n [10, 2, -9, 1, -2, -10, 5, 4, 1, 6],\n [-4, 6, 1, -12, 1, -11, -2, -7, -6, 14],\n [10, 8, -2, 1, 3, -4, 8, -3, 1, -2],\n [-2, -2, -10, -11, -4, -7, -1, -2, -5, 4],\n [0, 2, 5, -2, 8, -1, 11, 0, -2, 5],\n [-3, -2, 4, -7, -3, -2, 0, 1, 8, -2],\n [-5, -2, 1, -6, 1, -5, -2, 8, 5, 6],\n [-6, 0, 6, 14, -2, 4, 5, -2, 6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1329334959", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, -8, -4, 0, -3, 4, 4, -3, 4, 3],\n [-8, -4, 0, -8, 2, 2, -5, 0, -10, -9],\n [-4, 0, 5, 2, -10, -3, -5, 5, 4, -12],\n [0, -8, 2, -2, -4, 6, 0, -2, -4, 6],\n [-3, 2, -10, -4, 14, -2, 9, -4, -2, 2],\n [4, 2, -3, 6, -2, 8, 4, 4, 10, -8],\n [4, -5, -5, 0, 9, 4, 13, 1, 2, 1],\n [-3, 0, 5, -2, -4, 4, 1, 11, -10, -8],\n [4, -10, 4, -4, -2, 10, 2, -10, -9, -2],\n [3, -9, -12, 6, 2, -8, 1, -8, -2, 14]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1587925029", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-8, -4, 8, 0, -2, 0, 10, 9, -3, -8],\n [-4, 4, 8, 0, -9, -6, -6, 4, 2, -5],\n [8, 8, 6, 8, 10, 8, 4, -4, -12, -2],\n [0, 0, 8, 12, 8, -13, -4, -6, -8, -9],\n [-2, -9, 10, 8, 9, -6, -4, -5, -1, -11],\n [0, -6, 8, -13, -6, 4, -7, 8, 0, -10],\n [10, -6, 4, -4, -4, -7, -10, 2, 12, 1],\n [9, 4, -4, -6, -5, 8, 2, 0, 12, -4],\n [-3, 2, -12, -8, -1, 0, 12, 12, 9, 3],\n [-8, -5, -2, -9, -11, -10, 1, -4, 3, -14]], determine the value at position (8, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10057999548", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-6, 9, 4, 8, 4, -8, 1, 3, 6, 6],\n [9, -14, 6, -12, 6, -2, 8, 2, 2, -4],\n [4, 6, -12, 0, 4, 3, -6, -6, 4, -6],\n [8, -12, 0, 8, -12, 2, 8, 8, 10, -5],\n [4, 6, 4, -12, 9, 8, -4, -2, 6, 2],\n [-8, -2, 3, 2, 8, 6, 0, 4, -6, 4],\n [1, 8, -6, 8, -4, 0, -4, -3, 4, -9],\n [3, 2, -6, 8, -2, 4, -3, 5, -2, 4],\n [6, 2, 4, 10, 6, -6, 4, -2, -1, 4],\n [6, -4, -6, -5, 2, 4, -9, 4, 4, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "920185762", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[3, -7, -5, 5, -11, -5, -5, 12, -12, 6],\n [-11, 8, -5, -8, 7, 8, -3, -8, -2, -7],\n [12, -2, -14, 1, 4, 13, 4, 6, 11, -2],\n [14, -8, 0, 11, -9, -11, 7, 8, 5, -4],\n [9, 6, 4, -13, 2, 0, 5, 3, -3, -12],\n [2, -1, 14, -9, -11, 6, -7, 12, 5, 7],\n [-12, -7, -2, 4, 0, 8, -8, -12, 4, 11],\n [-5, 13, 12, 1, -1, -7, -4, 4, -13, -10],\n [-4, -8, -7, 2, -3, 3, 14, -8, -6, 4],\n [-1, 9, 11, 4, 5, 3, 10, 0, 6, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7454810318", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-11, -2, -10, -3, 2, -5, 11, -3, -9, 12],\n [5, 13, 5, -3, -2, 6, 2, 5, -5, 4],\n [-10, 11, -10, -7, 2, -12, 6, 1, 12, 4],\n [-9, -5, 1, -2, -12, 7, -7, 5, -7, -8],\n [12, -4, 14, 5, -12, 6, 6, -8, -4, 2],\n [10, 3, 10, -6, -2, 14, 0, 4, 0, -8],\n [-12, 9, -7, -2, 1, -12, 6, 8, -14, -12],\n [1, -14, 3, -1, -8, 8, -12, 14, 7, 1],\n [14, -9, 3, 14, 10, -2, 9, -13, -3, -11],\n [-6, 5, 8, -10, -5, -9, -14, 5, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4713548250088", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (8, 9) of the result:\nA =\n[[7, 2, 2, -8, -7, -6, 3, 1, -4, -8],\n [2, -10, 9, -11, -6, 2, 1, 8, 2, 4],\n [2, 9, 11, 6, -2, 0, 4, 6, 2, 6],\n [-8, -11, 6, 4, -3, 0, -1, 4, 0, 6],\n [-7, -6, -2, -3, 13, -12, 12, 8, 1, 2],\n [-6, 2, 0, 0, -12, 4, -4, 4, 6, -3],\n [3, 1, 4, -1, 12, -4, -7, -3, -3, 0],\n [1, 8, 6, 4, 8, 4, -3, -8, 6, -5],\n [-4, 2, 2, 0, 1, 6, -3, 6, 13, -2],\n [-8, 4, 6, 6, 2, -3, 0, -5, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13228078833", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 9) of the result:\nA =\n[[1, 8, -1, 8, -6, 3, -11, -3, 9, -10],\n [-4, -10, 4, 6, 14, -8, -11, -7, 12, -9],\n [-9, 7, -11, -1, -12, -5, 7, -9, 3, -5],\n [-6, 1, 5, -11, 11, 14, 13, -4, 13, -3],\n [9, 4, -5, -8, -8, 3, -12, -3, -1, 5],\n [-13, -6, -5, 12, -9, 2, 0, -14, 9, 12],\n [7, -2, -5, -3, 8, 7, 1, -13, -12, -7],\n [5, 14, 0, 9, 4, 3, 8, -14, 12, 4],\n [-13, -10, 3, 1, -5, 6, 14, -12, 10, -5],\n [10, 9, -2, 6, -5, -4, -8, -13, 4, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1331851357", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[12, -5, 2, -7, 0, -4, -1, 0, 10, 6],\n [-5, 10, -12, 2, 1, -2, 5, -4, 12, 2],\n [2, -12, 7, -6, 1, 0, -6, -6, -12, -5],\n [-7, 2, -6, 4, -8, -8, -12, -8, 0, 9],\n [0, 1, 1, -8, -4, -6, 0, -1, 0, 0],\n [-4, -2, 0, -8, -6, 1, 3, -3, -10, -6],\n [-1, 5, -6, -12, 0, 3, 6, -2, 3, -11],\n [0, -4, -6, -8, -1, -3, -2, 7, -1, -6],\n [10, 12, -12, 0, 0, -10, 3, -1, 11, -1],\n [6, 2, -5, 9, 0, -6, -11, -6, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3697975405933", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (4, 5) of the result:\nA =\n[[-3, 6, 7, -11, 13, 8, 14, -8, -3, 8],\n [-4, -8, 14, 11, 12, -5, -6, -13, -10, -5],\n [10, 13, 14, -1, 12, 1, 12, -13, 4, 8],\n [-6, -1, 0, 4, 11, -7, 12, 0, -7, 13],\n [-11, 12, 14, -9, -4, -3, 9, 13, -6, 3],\n [2, 6, 11, -12, 12, -2, -9, 13, -1, 12],\n [-14, 13, 12, -11, 7, 3, -4, -4, -7, -11],\n [-13, -14, 9, -5, 2, -8, -8, -2, 7, 9],\n [11, -14, 13, -14, -2, -14, -9, 8, 11, 10],\n [-5, 6, -14, 10, -10, 7, 10, -13, -12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66929210582", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -2, -3, -8, -6, -1, 2, -8, 4, 2],\n [-2, -11, -4, -2, 10, 3, -2, 1, 6, -2],\n [-3, -4, 8, 4, 4, 11, 4, -6, -2, -5],\n [-8, -2, 4, -2, -2, -4, 0, -4, 5, -2],\n [-6, 10, 4, -2, 2, -6, 2, 4, -2, 4],\n [-1, 3, 11, -4, -6, 4, -8, 7, -2, -6],\n [2, -2, 4, 0, 2, -8, -11, 2, 0, -1],\n [-8, 1, -6, -4, 4, 7, 2, -1, -2, 6],\n [4, 6, -2, 5, -2, -2, 0, -2, 8, 5],\n [2, -2, -5, -2, 4, -6, -1, 6, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60775578174", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-14, -8, 7, 4, -2, -2, -6, 4, 3, 0],\n [-8, -8, -4, 5, -2, 7, -10, 8, 1, -4],\n [7, -4, 9, 2, -6, 0, 1, 0, -2, 10],\n [4, 5, 2, -1, 6, 2, 8, -5, 4, 0],\n [-2, -2, -6, 6, -12, 2, -7, -6, 8, 5],\n [-2, 7, 0, 2, 2, 9, 2, 5, -11, 0],\n [-6, -10, 1, 8, -7, 2, -12, 8, 3, -6],\n [4, 8, 0, -5, -6, 5, 8, 9, 2, 0],\n [3, 1, -2, 4, 8, -11, 3, 2, -9, -4],\n [0, -4, 10, 0, 5, 0, -6, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3373303484", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the 8th power of the matrix:\n[[13, -3, -12, 6, 2, 6, -1, 3, 0, 0],\n [-3, 3, 0, -6, -4, 6, 8, -3, 2, -7],\n [-12, 0, -13, -4, -2, 2, -3, -4, -3, -6],\n [6, -6, -4, 3, -4, 1, 2, 3, -2, 0],\n [2, -4, -2, -4, -11, -1, 0, -2, 7, -6],\n [6, 6, 2, 1, -1, -14, 2, 3, -6, -3],\n [-1, 8, -3, 2, 0, 2, 11, 2, -2, -4],\n [3, -3, -4, 3, -2, 3, 2, 0, -8, -12],\n [0, 2, -3, -2, 7, -6, -2, -8, -13, 6],\n [0, -7, -6, 0, -6, -3, -4, -12, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6237215115", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-4, -9, 14, -14, 4, -8, 8, -5, 14, -3],\n [-3, 14, -14, -6, 2, 8, -3, 13, -13, -6],\n [-3, 13, 10, 10, -11, 7, 14, -3, 3, -12],\n [7, -14, 8, 3, 9, 6, 8, -7, 4, 7],\n [13, 10, -11, 11, 8, 1, 2, 13, 8, -6],\n [11, -7, 5, 4, -8, 14, -3, -14, 9, 13],\n [2, 8, -9, 11, 9, 7, -10, 10, 5, -8],\n [7, 11, 7, 12, -3, -10, -13, -11, 2, 10],\n [10, -7, 5, -10, 2, 5, -11, 6, 3, 3],\n [13, 3, 1, -4, -7, 14, -3, 3, 7, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177380271", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) of the matrix A^8 where A is:\n[[14, 1, -5, 1, -5, 2, 10, 0, 7, -1],\n [1, 13, -4, -4, -8, -8, -4, -4, 0, 5],\n [-5, -4, -8, 10, -2, 0, -1, -2, 8, -3],\n [1, -4, 10, -11, -4, 0, 4, 2, 10, -12],\n [-5, -8, -2, -4, 3, 5, 10, -3, -2, 5],\n [2, -8, 0, 0, 5, 9, 2, 1, 9, -3],\n [10, -4, -1, 4, 10, 2, -2, 3, 2, 6],\n [0, -4, -2, 2, -3, 1, 3, 8, -2, 10],\n [7, 0, 8, 10, -2, 9, 2, -2, 1, -9],\n [-1, 5, -3, -12, 5, -3, 6, 10, -9, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78162836709", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[7, 12, -3, 0, -8, 5, -2, -2, 1, 10],\n [12, 6, -3, 2, -8, 6, 4, 12, -4, -2],\n [-3, -3, 9, -6, 1, -9, -12, 4, -2, -1],\n [0, 2, -6, -5, -6, 0, 2, 11, 3, -5],\n [-8, -8, 1, -6, 4, -2, -7, -8, -10, -4],\n [5, 6, -9, 0, -2, 0, 0, -9, -10, 2],\n [-2, 4, -12, 2, -7, 0, -5, -6, 12, -8],\n [-2, 12, 4, 11, -8, -9, -6, 10, -7, 3],\n [1, -4, -2, 3, -10, -10, 12, -7, -2, -4],\n [10, -2, -1, -5, -4, 2, -8, 3, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15800234532688", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-7, -3, -8, 9, 1, 10, 2, 11, 7, -11],\n [2, 3, 11, -11, 2, 0, 7, 2, -2, 10],\n [11, -12, -3, 12, 2, 7, 7, -8, -8, 11],\n [-4, 1, -11, 1, -10, 4, 7, 14, -1, -8],\n [-6, 10, 13, -2, 1, 6, -11, -8, -12, 5],\n [0, 10, 6, 11, -1, -8, 3, 10, -10, 6],\n [5, -7, 12, 5, 3, 6, 4, 5, -12, 8],\n [-9, 3, 12, 0, -1, 9, 6, 7, -7, -4],\n [-4, -3, 1, -8, 12, -12, -13, -12, -7, 5],\n [-7, -11, 8, -2, 7, 11, 2, 14, 12, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151487704428", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[7, 3, -10, -3, -13, -5, -8, 0, 12, 11],\n [7, -8, 0, 1, 7, 11, -14, 0, -12, -5],\n [1, -13, 2, -14, -11, -4, 2, -13, -14, 14],\n [13, 13, -9, -4, -11, 9, -4, -10, -5, -10],\n [12, 12, 9, 12, 11, 7, 7, -12, 14, -9],\n [11, -2, 1, -8, 3, -12, -9, -5, 1, 10],\n [-2, 10, 9, 9, -6, 12, 1, -4, -6, -5],\n [-4, 14, 10, 6, 7, 0, 6, -2, 2, -11],\n [-4, 14, -14, 13, -14, -12, 8, 0, -14, 8],\n [11, 11, 14, 1, 2, -6, -10, 14, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2192059160368", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[13, -6, 12, -12, 4, 6, -2, -2, 8, -12],\n [5, -1, -13, 10, -5, -6, -2, -4, -13, 1],\n [-10, -14, -7, 7, 1, -1, 11, 11, -13, 3],\n [11, 6, -8, 10, 10, -3, 0, 12, 7, -13],\n [7, 2, 12, -4, 14, -13, 13, 4, -10, 11],\n [2, 1, 13, 11, -2, -2, -2, -10, -10, 5],\n [4, -8, -4, 8, -14, -8, -12, -2, -12, -9],\n [7, 12, 14, 0, -11, -10, -12, 4, 10, 6],\n [1, 2, -6, 11, 7, -6, -1, 12, 8, -4],\n [11, -5, 8, -10, 8, 11, -11, -4, 12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2645734772898", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-13, 4, 0, 2, 5, 8, -2, -3, 2, -4],\n [4, -9, -7, 0, 2, -9, -8, -1, -3, -6],\n [0, -7, -7, -4, 2, -10, 8, -2, 8, 4],\n [2, 0, -4, -11, 4, -4, -2, -2, -8, -4],\n [5, 2, 2, 4, -1, 8, 3, 4, 7, 5],\n [8, -9, -10, -4, 8, -2, 6, 2, 4, -2],\n [-2, -8, 8, -2, 3, 6, 6, 4, -7, -9],\n [-3, -1, -2, -2, 4, 2, 4, 11, 13, -7],\n [2, -3, 8, -8, 7, 4, -7, 13, -11, -8],\n [-4, -6, 4, -4, 5, -2, -9, -7, -8, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145494985146", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[12, 5, -9, -2, -4, 0, -5, -1, -10, 0],\n [5, 5, -8, -9, -9, 8, -8, 2, -11, 3],\n [-9, -8, 14, 10, -4, -2, -4, -2, 4, -10],\n [-2, -9, 10, 14, -10, -1, 4, 8, 6, 4],\n [-4, -9, -4, -10, -4, 5, 6, 2, 3, -2],\n [0, 8, -2, -1, 5, 5, -10, -9, -2, 14],\n [-5, -8, -4, 4, 6, -10, 9, -3, -3, -8],\n [-1, 2, -2, 8, 2, -9, -3, 10, -4, 4],\n [-10, -11, 4, 6, 3, -2, -3, -4, -14, 6],\n [0, 3, -10, 4, -2, 14, -8, 4, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1852829622777", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[11, -4, -10, 9, -8, 4, -8, -5, -7, 6],\n [12, 6, -1, 12, -14, -2, 9, 14, -9, -9],\n [6, -10, -12, -3, 0, -12, 1, 3, -6, -7],\n [-4, -12, -10, -5, -10, -7, -9, 8, 6, 1],\n [-3, 2, -7, -11, 6, 2, -12, 3, 1, 13],\n [-13, -2, -14, 7, 9, -12, -14, 11, -13, 4],\n [7, -12, 10, 13, -14, 8, 11, 9, -6, -7],\n [-10, -14, 0, 2, 0, -7, 8, 6, 11, -12],\n [-6, 5, -1, -9, 12, 5, 10, -11, 9, 12],\n [-3, 13, -12, 9, 12, -12, 12, 6, 2, -9]], determine the value at position (5, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2514776680", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[0, -4, 5, 12, -10, 4, -2, -3, -4, 1],\n [-4, -13, 4, -3, 4, 4, 6, 0, -2, 10],\n [5, 4, 1, 4, -7, 10, 2, 4, 0, 8],\n [12, -3, 4, -3, -7, 0, 4, 6, -6, 0],\n [-10, 4, -7, -7, 0, -10, -7, 6, -4, -8],\n [4, 4, 10, 0, -10, 1, 7, 2, 0, 9],\n [-2, 6, 2, 4, -7, 7, -10, 4, 8, 9],\n [-3, 0, 4, 6, 6, 2, 4, 0, 6, 2],\n [-4, -2, 0, -6, -4, 0, 8, 6, 0, -10],\n [1, 10, 8, 0, -8, 9, 9, 2, -10, -8]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2189501790", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-3, -2, 1, -6, 1, -2, 8, 4, -5, 11],\n [-2, 10, -2, -6, -10, 3, 1, 5, 0, 0],\n [1, -2, -8, -10, 11, 0, 2, -13, 6, -8],\n [-6, -6, -10, 13, 4, -5, 4, 10, -12, 0],\n [1, -10, 11, 4, -13, -3, -3, 1, -2, -8],\n [-2, 3, 0, -5, -3, -13, 7, 13, 0, 12],\n [8, 1, 2, 4, -3, 7, 6, 0, 2, -4],\n [4, 5, -13, 10, 1, 13, 0, 10, 8, -3],\n [-5, 0, 6, -12, -2, 0, 2, 8, -6, 8],\n [11, 0, -8, 0, -8, 12, -4, -3, 8, 10]], determine the value at position (7, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108618061", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-12, -1, -14, -6, 1, 2, -7, 0, 6, -7],\n [-8, -6, -13, 10, -5, -10, 1, 6, -14, -9],\n [-5, -5, 11, 11, 4, -2, 11, 4, -12, -2],\n [-11, 10, 14, -7, -3, 7, 9, 9, 2, 10],\n [-14, 12, -13, -6, 8, 11, -14, 4, 2, -10],\n [0, 5, 9, 10, -3, -11, 0, -12, -1, -11],\n [4, -9, 2, 3, -7, 4, 5, -3, 2, 4],\n [-14, -4, -5, 1, -10, 2, 13, -6, 8, 12],\n [-7, 10, -5, -7, -12, 8, 8, 8, -3, 9],\n [-11, 12, 7, 3, 8, -6, 6, -11, -13, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95593184366", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, -10, 6, -9, -4, -9, 2, -12, 6, -8],\n [-10, -4, -1, 4, 0, -10, -4, -3, 9, -6],\n [6, -1, 0, 12, -2, -1, 5, 0, 4, -3],\n [-9, 4, 12, -12, -8, -4, -2, -3, 0, 4],\n [-4, 0, -2, -8, 9, 0, -5, 1, 10, -9],\n [-9, -10, -1, -4, 0, -10, 8, -2, -12, 7],\n [2, -4, 5, -2, -5, 8, 0, -4, -8, 11],\n [-12, -3, 0, -3, 1, -2, -4, -11, -4, -12],\n [6, 9, 4, 0, 10, -12, -8, -4, 7, -8],\n [-8, -6, -3, 4, -9, 7, 11, -12, -8, -14]], determine the value at position (10, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160772655", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-7, 4, 3, 4, 2, 9, 8, -10, -12, 2],\n [4, -6, -12, 2, -2, 6, 12, -2, -6, 8],\n [3, -12, 2, -3, 2, 4, -3, -4, -2, -10],\n [4, 2, -3, 11, -10, 3, -2, -9, 0, -1],\n [2, -2, 2, -10, 9, 7, -7, 6, -1, 2],\n [9, 6, 4, 3, 7, 10, 6, -10, -4, 0],\n [8, 12, -3, -2, -7, 6, 5, 10, -9, -1],\n [-10, -2, -4, -9, 6, -10, 10, 7, 4, -6],\n [-12, -6, -2, 0, -1, -4, -9, 4, -5, 2],\n [2, 8, -10, -1, 2, 0, -1, -6, 2, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3718653621712", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 12, 10, 8, 4, -5, -5, -8, 11],\n [-5, -1, -10, 10, 7, -4, 14, -8, 5, 3],\n [-4, 5, 10, -12, -8, 14, -11, 4, 6, 3],\n [-4, -1, -5, -1, -11, 8, -3, -3, -13, 11],\n [-9, -10, 4, 6, 0, -5, -8, 4, -7, 0],\n [8, -11, -2, 14, -10, 11, -4, 1, 5, 3],\n [13, 0, 10, -14, -7, -11, -6, 4, -8, 0],\n [-12, 11, -3, 8, -13, 4, 9, -8, -4, 4],\n [-7, -2, -6, -13, 3, 0, 8, -4, 9, 0],\n [6, 3, -1, 11, 6, 4, -2, 10, 1, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3061563971896", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[10, -13, 2, 11, 7, 12, 7, 5, 14, 3],\n [14, -5, -3, 12, -12, 14, -9, 5, -10, 12],\n [10, 6, 11, 12, -7, 3, 1, 13, -1, -9],\n [-4, 12, -9, -10, 0, -9, 6, 1, 3, 6],\n [-14, -12, 8, 5, 9, -12, -8, -1, 3, 9],\n [0, -2, 4, 14, 7, -13, -8, -2, -11, -9],\n [3, 4, 0, -12, 5, 2, 1, -2, 7, 12],\n [7, 5, -7, 6, 11, -1, -11, -8, -5, 0],\n [11, 1, -7, -13, 14, 2, -9, 1, -13, 12],\n [9, 14, 6, 3, -4, -3, -10, -13, 7, 9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6218908825", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[3, 7, -9, -14, -6, 0, 13, -7, 13, -1],\n [-11, -8, 5, -7, -5, 3, 3, 4, -11, 12],\n [-2, -9, 6, 11, -2, 11, 8, 7, 1, 5],\n [12, -5, -6, -8, 2, 9, 5, -8, 12, -13],\n [13, 4, -14, -13, 12, -10, 3, 14, -9, -9],\n [7, 13, 12, 1, 1, -12, 12, -12, 11, 8],\n [14, 14, -11, -9, 13, 9, -12, 10, -6, -12],\n [-9, 6, 5, 9, 11, -6, 0, 13, -6, -10],\n [6, 12, 1, -12, -6, 2, 13, -12, -8, -8],\n [6, -9, 5, -7, -11, 11, 0, -9, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54264346675", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -8, 8, -11, -7, 6, 1, -4, 0, 6],\n [-8, -14, 2, 10, -10, -2, -8, 4, -7, -12],\n [8, 2, -11, -8, -6, 2, 5, -4, 8, -3],\n [-11, 10, -8, -10, 12, -3, 2, 0, 1, 11],\n [-7, -10, -6, 12, -9, -5, 12, 6, 9, 10],\n [6, -2, 2, -3, -5, -12, 2, -2, 2, 6],\n [1, -8, 5, 2, 12, 2, -10, -1, 0, 9],\n [-4, 4, -4, 0, 6, -2, -1, 10, -3, 6],\n [0, -7, 8, 1, 9, 2, 0, -3, 8, -4],\n [6, -12, -3, 11, 10, 6, 9, 6, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15978420081", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[13, -8, 8, 1, -10, -11, 7, 0, 1, -6],\n [-8, 5, -13, -1, 0, -7, 2, 2, -8, 2],\n [8, -13, -4, -11, 8, 5, -6, 1, 4, 4],\n [1, -1, -11, 0, 2, 0, 4, 4, 0, -6],\n [-10, 0, 8, 2, -12, -4, 4, -5, 3, -1],\n [-11, -7, 5, 0, -4, 6, -4, -10, -7, 2],\n [7, 2, -6, 4, 4, -4, 4, -12, 6, -12],\n [0, 2, 1, 4, -5, -10, -12, 2, 9, 10],\n [1, -8, 4, 0, 3, -7, 6, 9, -2, 4],\n [-6, 2, 4, -6, -1, 2, -12, 10, 4, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6455787526", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, 9, -8, 2, 2, -14, -13, 11, 3, -6],\n [-10, -14, -8, 11, -13, -12, -11, -12, 4, 10],\n [-3, 0, -11, 9, -14, 1, 14, -9, 2, -10],\n [8, -2, -3, -14, 10, -3, 12, 10, 7, -13],\n [3, -6, 1, 14, 5, 0, 7, 14, -5, -13],\n [-11, 3, 4, 3, -1, -7, -10, -10, -7, -4],\n [9, 14, 8, 6, -8, -2, 2, 4, -12, -13],\n [-9, 4, 0, -11, 4, -8, 5, 6, -1, -8],\n [5, -1, 7, 10, 7, -10, 0, -3, 14, 2],\n [9, 6, -10, 4, -5, -3, -13, 2, 10, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9306638942", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 2) of the result:\nA =\n[[11, 13, 0, 5, 8, -2, 5, -4, 3, -6],\n [1, 9, 13, 0, -11, 9, -3, -2, -6, 0],\n [3, 5, 12, 7, -8, 6, 11, -3, -5, 14],\n [-8, -1, 12, 0, -11, -7, 4, 14, 4, -10],\n [7, -12, -5, 0, -13, 6, -5, 7, 1, -12],\n [-8, 4, 0, -3, 14, -13, -2, 11, 5, 4],\n [-8, 9, -12, -9, -14, 6, -13, -14, 14, 8],\n [11, -11, -10, -13, 1, -7, 0, -4, 14, -5],\n [-12, 8, -4, 2, -5, 2, -1, 8, -14, 13],\n [10, -6, 9, 9, 0, -11, 5, 6, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "257937052", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[5, 11, 6, -8, 6, 10, 7, -12, 7, 7],\n [0, 13, -5, 1, 2, 8, 4, -14, -14, 6],\n [-1, 11, 11, -13, -13, 13, 5, -5, 0, 12],\n [13, 13, 0, -8, -7, -4, 1, 11, 8, 10],\n [-8, 5, -6, 10, 4, 11, 9, -14, 3, -7],\n [14, -7, 7, -7, -1, 9, -13, -12, -8, -12],\n [14, 0, -4, -13, 7, 3, -1, 3, 12, -13],\n [-11, -1, -8, 0, -9, -10, 5, 3, -4, -7],\n [14, -3, 3, 0, 12, -7, 11, -11, 13, 6],\n [0, -4, -14, -13, 12, -7, 1, -14, -12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22688169815", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (8, 1) of the result:\nA =\n[[11, 1, 6, 13, 5, 5, -2, 5, 12, -11],\n [-11, 7, -13, -2, -2, 5, -8, -8, 2, -5],\n [-3, 10, 8, 12, 7, 1, -13, 7, 6, -6],\n [-3, 2, 1, -10, 4, 10, 13, 2, 7, -12],\n [2, 12, 0, 4, 0, 3, 11, -3, 13, -3],\n [9, -12, -4, 8, -5, 7, 0, 8, -4, 8],\n [11, -14, 5, -11, 6, 11, 6, -7, 5, -2],\n [2, 0, 6, -14, 13, -12, 9, 11, 6, 8],\n [2, 7, 13, 9, 7, -11, 12, -7, 0, -7],\n [-1, -9, 9, 13, 7, 0, 5, 12, 13, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71642421650", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-6, 0, 11, -8, -8, 0, 4, -4, -4, 9],\n [0, -7, 2, -1, -2, 2, -2, 6, -10, 2],\n [11, 2, 12, -13, -10, 8, 0, -1, 10, -4],\n [-8, -1, -13, -4, 9, -10, 2, 7, -7, -2],\n [-8, -2, -10, 9, 1, 2, -3, 11, -10, -4],\n [0, 2, 8, -10, 2, 11, 0, -2, -7, 0],\n [4, -2, 0, 2, -3, 0, 5, 6, 0, 12],\n [-4, 6, -1, 7, 11, -2, 6, 4, 8, -6],\n [-4, -10, 10, -7, -10, -7, 0, 8, 9, 2],\n [9, 2, -4, -2, -4, 0, 12, -6, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38001996533", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[3, -2, -12, 2, -4, 0, -2, 5, -11, 7],\n [-2, 5, -8, 1, 4, -8, 8, -9, 9, -7],\n [-12, -8, 9, -2, -6, 0, -4, 1, 11, 11],\n [2, 1, -2, -6, -2, 0, 8, 6, 0, -11],\n [-4, 4, -6, -2, -3, 0, -8, 0, 3, 4],\n [0, -8, 0, 0, 0, -9, -10, 2, 3, -2],\n [-2, 8, -4, 8, -8, -10, 12, 1, 2, 2],\n [5, -9, 1, 6, 0, 2, 1, -10, 8, 0],\n [-11, 9, 11, 0, 3, 3, 2, 8, -1, -3],\n [7, -7, 11, -11, 4, -2, 2, 0, -3, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "390596604", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-6, 7, -11, 5, -4, 2, -1, -5, -10, 6],\n [6, 13, 2, 1, -14, -5, -3, 3, -14, 14],\n [9, 13, -3, 5, -9, -7, -1, -10, 7, -11],\n [7, 1, -9, -12, -11, 7, -7, 14, -1, -8],\n [-11, 4, -4, 0, 9, 1, -9, -3, -7, 10],\n [10, -5, -4, -6, 11, 2, 13, -1, -12, -6],\n [5, 11, 13, 3, 2, -10, 5, 6, 12, 6],\n [9, -9, -12, 1, 0, 10, -7, -6, -11, -2],\n [9, 12, -12, 6, -8, 1, 2, 2, 4, 5],\n [2, 9, -13, 12, -10, 1, 14, 7, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3429140716", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-9, 0, -2, 2, -8, 0, 2, -4, -4, -9],\n [0, 2, -2, -4, -8, -2, 10, -6, 0, 7],\n [-2, -2, 9, -3, -6, 5, 4, -1, -8, -7],\n [2, -4, -3, 1, -5, 2, 4, -4, 2, -12],\n [-8, -8, -6, -5, 14, 9, -3, -2, 8, -5],\n [0, -2, 5, 2, 9, -14, 0, -4, 6, 0],\n [2, 10, 4, 4, -3, 0, 0, -2, -4, -1],\n [-4, -6, -1, -4, -2, -4, -2, 5, -8, -6],\n [-4, 0, -8, 2, 8, 6, -4, -8, 3, -6],\n [-9, 7, -7, -12, -5, 0, -1, -6, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302935416828", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (3, 2) of the result:\nA =\n[[-6, -1, 6, -6, 0, -2, 6, 0, 2, 2],\n [-1, -3, -10, -13, -6, -1, 4, 12, 3, 4],\n [6, -10, 3, 2, 0, -2, -1, -10, 2, 0],\n [-6, -13, 2, 14, 3, -8, 5, 0, -8, 6],\n [0, -6, 0, 3, 0, 2, 2, -12, -4, 0],\n [-2, -1, -2, -8, 2, -8, 2, -13, -2, -8],\n [6, 4, -1, 5, 2, 2, -6, -1, 7, -10],\n [0, 12, -10, 0, -12, -13, -1, 2, 0, -3],\n [2, 3, 2, -8, -4, -2, 7, 0, -2, 5],\n [2, 4, 0, 6, 0, -8, -10, -3, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225053738", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[12, -3, -4, -5, 8, 7, 13, 7, -7, 0],\n [7, 3, 8, -2, 11, 1, -2, -11, -4, 12],\n [4, -7, -5, -3, 13, 6, 5, -4, 5, 6],\n [13, -11, 4, 5, -5, 0, -2, -2, 6, 13],\n [3, -8, -1, -10, -6, 7, 12, 2, 10, -10],\n [1, -6, 2, 3, -12, 13, -10, 7, 6, 2],\n [5, 7, -11, -11, 6, 9, 6, -8, -7, 7],\n [7, -13, 14, 14, -5, -10, 2, 10, -8, -13],\n [-9, -5, -6, 13, -10, -12, -4, -5, 1, 12],\n [5, 4, -14, 11, -4, 14, 0, -8, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93449266878", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (8, 4) of the result:\nA =\n[[3, 9, 13, 10, 8, -4, -14, 1, -11, 8],\n [-9, -4, 9, -9, -5, -9, -5, 7, 8, -10],\n [13, 12, -6, -8, 2, 12, -3, 13, 10, -4],\n [-9, 12, 9, 10, -4, -4, -1, 1, -13, -13],\n [-10, -1, 6, 13, -5, -5, 3, 11, 5, -6],\n [-11, 2, 6, -13, -1, 7, -14, 8, -8, -11],\n [-6, -12, -10, 6, 9, -5, -5, -11, 2, 12],\n [6, 2, 4, -9, -14, 11, -1, -2, -12, 8],\n [-13, 7, -8, 13, -3, -13, -4, 1, 12, -10],\n [11, 13, 11, 2, -12, -1, 1, 2, 13, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7056750269", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, 13, 13, 6, 5, 5, 10, 10, -6, -4],\n [-10, -4, -2, 6, -13, 7, -13, -5, -2, -10],\n [-4, 14, 0, 13, 13, -10, 5, -10, -8, -5],\n [14, -13, -14, 5, 8, -14, -11, 0, 0, -9],\n [-9, -14, -8, -10, 7, 2, -8, -11, -12, -3],\n [12, 14, 0, 5, -6, 6, -3, -10, -7, 0],\n [-8, 4, -2, -14, 13, -4, -2, -13, 4, -4],\n [-14, -14, -7, -2, -7, -13, -7, 12, 14, -1],\n [-13, -2, 12, -10, -14, -6, 5, -5, -4, 3],\n [2, -9, -4, 9, -11, -14, -14, 7, 3, -10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "753204024", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[1, -4, -6, -2, -8, 0, 3, 2, 2, 9],\n [-4, -5, 4, 10, -8, -2, 4, 4, -4, -6],\n [-6, 4, 5, -2, -2, -4, -3, -9, 2, 2],\n [-2, 10, -2, 10, -2, 2, -10, 0, -4, -6],\n [-8, -8, -2, -2, 12, 3, 0, -4, 13, -4],\n [0, -2, -4, 2, 3, -3, -6, 10, -9, -2],\n [3, 4, -3, -10, 0, -6, 9, 7, -11, -2],\n [2, 4, -9, 0, -4, 10, 7, -12, 7, -4],\n [2, -4, 2, -4, 13, -9, -11, 7, -4, 0],\n [9, -6, 2, -6, -4, -2, -2, -4, 0, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273903900403", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^7 where A is:\n[[7, 2, -11, -8, 14, 14, 13, -6, 11, -12],\n [5, 6, -10, 3, 14, 6, 11, 2, -8, -1],\n [0, 6, 7, -1, -6, 1, 4, -14, -7, 3],\n [-13, 11, 14, -11, 6, -14, 12, 4, -4, 9],\n [-9, 4, -1, 13, 8, 12, 7, 6, 9, 9],\n [4, 9, 11, 10, -2, -3, 14, -5, 4, -4],\n [9, 9, -3, -8, -7, 2, -12, -9, -3, 0],\n [8, -8, 12, -9, 14, -3, 13, -3, 12, -11],\n [6, -6, 2, -13, -10, 6, 13, 8, 9, -5],\n [-9, -9, 6, -10, 14, 12, -7, 6, 7, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "475667366", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-1, -10, 0, -6, 0, 4, 1, -7, 0, -4],\n [8, -11, 6, 9, -5, 8, 11, -5, -13, -7],\n [-7, -6, -13, -1, 5, -13, -11, -12, 8, -1],\n [6, 1, 0, -8, 3, 5, -9, 13, 6, 1],\n [-4, -13, 13, 8, -13, -1, -6, 8, -3, -12],\n [7, -10, 13, -6, 14, -12, 3, -13, -11, -2],\n [2, -6, 4, -1, -2, -10, 3, 9, 0, 12],\n [-4, 4, -10, -8, -13, 4, 9, 1, 11, 9],\n [-12, 14, -5, -3, 8, 12, 14, -13, 10, 14],\n [14, -7, 10, -6, 8, 5, -3, 13, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18735263494263", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-2, -10, 13, 11, 0, 9, 6, -10, -10, -11],\n [12, 13, 12, 13, 8, 1, 3, -5, 14, 5],\n [12, -12, -5, -2, 9, 8, -12, -11, -2, -1],\n [-11, -3, 1, -5, 8, 9, 5, 9, 2, 14],\n [10, -8, -11, 9, -3, -5, -13, -1, -7, -5],\n [-9, 8, 8, -13, -1, -4, -13, -11, -9, -11],\n [7, -10, -9, -6, 7, 7, 1, -4, -4, 9],\n [6, 6, -5, 14, 12, -14, 7, 2, 12, -7],\n [11, 1, 10, -9, -1, 10, -13, -6, -11, 4],\n [2, -14, 9, -13, 2, -13, -12, -11, -2, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10419572834044", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[10, 8, -3, 6, -10, -1, -9, -14, 1, -9],\n [-2, -2, -4, 1, 7, -1, -4, -10, 11, 10],\n [11, -5, 6, 10, 11, 0, -8, -12, -4, -6],\n [-5, 8, -11, 13, 10, 7, 10, 5, 11, 3],\n [14, -1, -6, 11, 13, 5, 1, 12, -13, 8],\n [-8, -10, 6, 9, 7, 2, -4, 13, -11, 2],\n [6, -10, -11, 10, 9, -5, -12, 6, -9, 6],\n [-7, -10, -7, -5, 11, 4, 6, -11, 14, 12],\n [-9, -12, 13, 11, -11, 12, -11, -10, 12, 0],\n [1, -9, 3, 11, -3, 9, 5, -8, 8, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12082215996", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 11, -4, -4, -13, -1, 0, 8, 13],\n [-14, -3, -1, 3, 6, 9, 13, 8, -12, 14],\n [11, 10, -3, 14, -10, -12, -8, 1, 5, 2],\n [6, 12, -7, 0, 13, 5, 0, 8, -7, 10],\n [-4, 10, 6, 7, 8, -5, 3, -6, 1, -14],\n [7, -9, 8, -13, -2, 7, -9, -6, -1, 9],\n [6, -8, 8, -10, -8, -12, 8, -2, 7, -3],\n [-9, -13, 0, 0, 3, 8, 2, 10, -12, 7],\n [-12, 13, -6, -5, -3, 8, -14, -11, 6, 8],\n [8, -10, 13, 2, 6, -10, -11, 14, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8375235001", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, -5, -10, -1, 9, 13, 6, -2, 4, -7],\n [-3, 5, 4, 4, -9, -7, -5, 6, 2, -14],\n [4, -3, 13, 7, -13, 2, -8, -1, -1, -3],\n [1, 3, -7, -13, -4, -14, -5, 3, 1, -13],\n [8, 2, 1, 4, -10, 13, 8, -9, 9, 2],\n [1, 1, -8, 1, -6, 8, -9, 1, -6, 14],\n [-11, 13, 11, 7, -9, 11, -1, -12, 8, 2],\n [-4, 9, -7, -7, 10, -11, 0, 1, 7, -4],\n [13, -8, 3, -9, 9, -11, -10, 9, -12, -9],\n [-1, -14, 5, -1, -9, -12, 2, 7, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55411409936", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[9, 0, 2, 2, 0, 5, 12, 4, 2, 7],\n [0, -1, 4, 0, -4, 6, 6, 0, -1, -13],\n [2, 4, -5, -6, 4, 9, 1, -6, -2, -8],\n [2, 0, -6, 2, 0, -5, 6, -4, 5, -6],\n [0, -4, 4, 0, -4, -4, 2, -6, -4, -4],\n [5, 6, 9, -5, -4, -7, 4, 3, 10, 5],\n [12, 6, 1, 6, 2, 4, -3, -6, -1, -3],\n [4, 0, -6, -4, -6, 3, -6, 9, 4, 0],\n [2, -1, -2, 5, -4, 10, -1, 4, -12, -6],\n [7, -13, -8, -6, -4, 5, -3, 0, -6, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3768466609466", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, -8, -6, -8, 12, 6, -12, 9, -3, 8],\n [-11, 2, 14, -12, -4, -7, -13, 10, -1, -11],\n [1, -1, -8, -5, -3, 8, 13, -7, 8, -4],\n [5, -2, -3, -8, 6, -3, -5, -8, 4, 11],\n [12, -8, 8, 3, 9, 8, 10, -3, -11, 10],\n [-14, -10, -5, -8, 5, 14, -8, 13, 10, -2],\n [-1, -10, 6, -13, -1, 6, -7, 5, -13, -7],\n [5, 14, -10, -3, -8, 12, 6, -2, 0, -5],\n [-11, 1, -8, -2, -11, 11, -3, 5, -13, -10],\n [-7, -11, 12, 14, -13, 10, -9, -12, 14, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36483882086", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-5, -4, -10, 7, 1, -6, 6, 1, -6, 2],\n [-3, 0, -5, -11, 2, 3, 3, -5, -4, 6],\n [-14, -5, -12, 12, -9, 2, -3, -4, 2, -12],\n [-6, 3, 13, -9, -12, -9, -4, -4, -8, -2],\n [-2, -8, -1, -13, -12, -11, -7, 6, -14, -6],\n [2, 3, -8, 12, -12, 7, 1, -7, -10, 2],\n [11, 13, 4, 12, 3, 7, -10, -8, 3, -2],\n [7, -4, -10, 7, 0, 6, -8, -10, 14, -8],\n [2, -6, -9, -6, 2, -13, 8, 5, -2, 11],\n [2, 6, 5, -9, 14, 8, 12, 4, -9, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10945103852", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[13, 11, -2, 5, -5, 14, -6, -2, -8, 3],\n [7, -1, -11, -7, -3, -7, 1, -14, 9, -5],\n [-8, -1, 2, 4, -10, 4, -12, -14, -7, -6],\n [-10, -14, 2, 10, -1, 2, -6, -12, -12, -2],\n [5, -10, -9, -1, -9, 11, 14, 14, 10, 2],\n [-6, -11, 8, 0, 7, 10, 3, 0, 12, 3],\n [-8, 0, 13, 10, -10, 8, -4, 9, -1, -7],\n [-11, -5, -8, -14, 5, -3, -2, 1, -1, -2],\n [-10, -1, 11, -2, -1, -3, 8, 13, 7, 5],\n [0, 4, -4, 7, 11, 0, 14, 13, 6, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4279870048", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 2) of the 7th power of the matrix:\n[[4, 5, 2, -1, -10, -6, -6, 8, 10, 4],\n [5, 9, -8, 0, 8, -10, -8, 8, -12, -3],\n [2, -8, 13, -8, 8, 2, 1, 6, 4, -2],\n [-1, 0, -8, -14, -8, 0, 10, 2, -5, 2],\n [-10, 8, 8, -8, -14, -2, -3, -4, 6, 4],\n [-6, -10, 2, 0, -2, 2, 8, 4, -1, 2],\n [-6, -8, 1, 10, -3, 8, -3, 7, -14, 4],\n [8, 8, 6, 2, -4, 4, 7, -2, 10, 2],\n [10, -12, 4, -5, 6, -1, -14, 10, 0, 4],\n [4, -3, -2, 2, 4, 2, 4, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11474938134", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-13, -2, 2, 5, 13, 1, -6, -11, 6, -6],\n [-2, 7, -4, 2, -2, 6, 12, 2, -4, -2],\n [2, -4, -12, -4, 9, 1, -8, 2, -2, -2],\n [5, 2, -4, -5, -6, 2, -10, -2, 0, -12],\n [13, -2, 9, -6, -9, 0, -4, -13, 0, -8],\n [1, 6, 1, 2, 0, 1, -2, 2, -4, 2],\n [-6, 12, -8, -10, -4, -2, 9, -2, 4, 11],\n [-11, 2, 2, -2, -13, 2, -2, 9, -10, 7],\n [6, -4, -2, 0, 0, -4, 4, -10, 1, 10],\n [-6, -2, -2, -12, -8, 2, 11, 7, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14578754028", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (6, 7) of the result:\nA =\n[[6, -14, -13, 10, -5, -4, 11, -12, 9, 11],\n [-7, 0, -10, -7, 3, 3, -3, -11, -7, -13],\n [5, 9, -12, -7, -3, -13, 2, -1, -1, -9],\n [-7, 10, -5, 9, 3, -14, -8, -8, -2, 1],\n [-3, 14, 4, -9, -8, 10, 2, 14, 4, -10],\n [-12, 9, 11, 7, 3, 2, 11, 6, -4, 10],\n [11, -6, 2, 4, -2, -9, 6, -11, 14, 3],\n [-3, 13, 13, -11, -10, -3, 3, 11, 2, 8],\n [8, 9, -5, -9, 2, -7, -13, -3, -12, 9],\n [5, 6, 10, 12, 8, 11, 13, -8, -14, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190912907", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-7, -6, 4, -3, -2, -5, -6, -6, -12, 12],\n [-6, 14, 12, 0, 1, -2, 7, 1, 4, -10],\n [4, 12, 13, 6, 4, 1, -4, -10, -12, -4],\n [-3, 0, 6, 3, 0, -10, -10, -2, 12, 2],\n [-2, 1, 4, 0, -3, -1, 0, -6, 11, 0],\n [-5, -2, 1, -10, -1, -9, 0, -2, 4, 2],\n [-6, 7, -4, -10, 0, 0, 2, 0, 0, -2],\n [-6, 1, -10, -2, -6, -2, 0, 12, 2, -3],\n [-12, 4, -12, 12, 11, 4, 0, 2, 11, -6],\n [12, -10, -4, 2, 0, 2, -2, -3, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17187782507071", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[3, -11, 14, -3, 6, -10, -11, 4, 4, -10],\n [0, -3, 11, -2, -9, 14, 2, 12, 5, -5],\n [-1, 0, -5, -9, 14, 1, -13, -5, -10, 12],\n [-6, 4, 4, -6, 1, 14, 4, 5, 13, 10],\n [-11, -10, 3, -7, -2, -6, -5, -11, 4, -11],\n [14, -2, 8, 2, 12, -4, -13, 11, -10, 10],\n [-2, 7, -12, 4, 14, 8, 4, 1, 1, 11],\n [-12, 11, 13, 8, 10, -6, 4, 9, -14, -1],\n [13, 9, -4, 3, 5, -8, -9, -3, 10, 9],\n [-13, -2, 5, -14, 8, 0, 5, -7, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "327124635", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 1) of the matrix A^7 where A is:\n[[-7, -13, -4, -7, 14, -2, -14, 14, 3, -10],\n [-14, -3, -10, 6, 1, 8, 3, -13, 0, 13],\n [7, -4, 14, -5, -12, -2, -2, 9, -12, -5],\n [-11, -1, 14, 8, 2, -14, 10, 0, 13, 7],\n [6, -13, 3, -8, 7, 13, -2, 9, -12, -12],\n [-2, 6, 11, -11, 1, 13, -7, 7, -7, 1],\n [8, -13, -6, 12, -2, 7, 12, 12, 7, -3],\n [-13, -6, -14, -9, 9, -13, -12, 11, 0, 11],\n [-8, -2, 1, -2, 12, -3, 2, 6, -4, 7],\n [11, -8, -2, -5, -5, -2, 8, 4, 8, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311343787", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, 5, -8, 8, -11, 2, 9, -11, 3, 5],\n [-7, -7, 6, 1, 0, 3, 8, 4, -9, -6],\n [14, 1, 6, -6, 5, 10, 2, -11, 0, -4],\n [-1, 2, 13, -2, -6, 9, 1, -7, -1, 0],\n [-8, 10, 12, -4, 14, -12, -8, 7, -10, -6],\n [5, 4, -2, 12, 4, 1, -13, -14, -12, 9],\n [-3, -9, -13, 9, 1, 14, -10, -3, -11, -1],\n [2, -3, -2, 2, 5, 13, 0, 14, -6, 11],\n [-5, -9, 2, -3, 9, 13, -6, -13, 1, 1],\n [7, 8, 12, 14, -14, 12, 6, 12, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-658855202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, -13, -1, -14, -9, -8, -13, -13, 0, 6],\n [-10, -2, 4, 4, 0, -14, -12, 10, 3, 2],\n [10, 6, -7, -4, 5, -7, 13, 6, -9, -9],\n [-9, -13, -5, -5, -6, 8, -12, -13, -11, -7],\n [-6, 11, -13, 1, -9, -7, -12, -4, 10, 5],\n [-10, -3, 8, 12, -4, -10, 5, 5, 6, -12],\n [-6, 13, 3, -3, 8, -11, 9, -8, 9, 5],\n [-4, -13, 8, -3, -6, -9, -8, -9, 3, -2],\n [-6, 6, 13, 4, -11, -11, -2, 13, 10, -4],\n [6, -13, -9, -3, 8, -7, -10, 9, 9, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21191312135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[8, 9, 11, 0, 11, 2, -2, -4, -10, -4],\n [9, -13, 2, 6, 3, -10, -2, 2, 0, -4],\n [11, 2, 6, 2, -11, -6, 5, 2, -6, -5],\n [0, 6, 2, 9, -2, -8, -3, 4, 0, 2],\n [11, 3, -11, -2, 4, -6, 6, -12, -3, 6],\n [2, -10, -6, -8, -6, -1, -10, 2, -8, -5],\n [-2, -2, 5, -3, 6, -10, 10, -6, 2, 0],\n [-4, 2, 2, 4, -12, 2, -6, -14, 8, -3],\n [-10, 0, -6, 0, -3, -8, 2, 8, 9, -5],\n [-4, -4, -5, 2, 6, -5, 0, -3, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6548289217", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[8, -8, -3, 2, 1, 0, -2, 0, 2, 0],\n [-8, 12, -5, -6, 2, -6, 3, -2, 10, 10],\n [-3, -5, 3, 0, -8, -10, -10, 0, 8, 11],\n [2, -6, 0, 8, 0, 0, 1, -2, 2, -2],\n [1, 2, -8, 0, 5, -2, 2, 6, 0, 0],\n [0, -6, -10, 0, -2, 10, -2, -4, 8, -5],\n [-2, 3, -10, 1, 2, -2, -11, -2, 11, 12],\n [0, -2, 0, -2, 6, -4, -2, -9, 2, -4],\n [2, 10, 8, 2, 0, 8, 11, 2, 3, 4],\n [0, 10, 11, -2, 0, -5, 12, -4, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2405286718830", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[6, -3, 10, -12, 1, 11, 6, 0, 8, -14],\n [-3, 2, 0, 4, -10, 8, 3, -2, 0, 6],\n [10, 0, 10, 4, 9, 0, -4, 10, 2, 0],\n [-12, 4, 4, 1, 9, -4, 2, -1, 5, -6],\n [1, -10, 9, 9, -9, -8, -6, 4, -5, 0],\n [11, 8, 0, -4, -8, -8, -2, -3, 10, 0],\n [6, 3, -4, 2, -6, -2, 6, 11, 0, 6],\n [0, -2, 10, -1, 4, -3, 11, -1, 11, 0],\n [8, 0, 2, 5, -5, 10, 0, 11, -6, 1],\n [-14, 6, 0, -6, 0, 0, 6, 0, 1, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "573411764400", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[8, 6, -3, -9, -8, -4, 9, 6, -4, 2],\n [6, -5, 3, -10, -4, 0, -3, 8, 6, -10],\n [-3, 3, 9, 4, -6, 0, 7, -6, -2, 1],\n [-9, -10, 4, 4, -8, -4, 6, -4, -2, 0],\n [-8, -4, -6, -8, -7, -10, -1, 3, 10, 6],\n [-4, 0, 0, -4, -10, -2, -10, 2, 9, 4],\n [9, -3, 7, 6, -1, -10, -11, 2, -12, -2],\n [6, 8, -6, -4, 3, 2, 2, 14, -5, -8],\n [-4, 6, -2, -2, 10, 9, -12, -5, -1, -14],\n [2, -10, 1, 0, 6, 4, -2, -8, -14, 9]], determine the value at position (2, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260549107995", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-3, 2, -8, 6, 0, 6, 11, -4, 3, -3],\n [2, -12, 2, 6, 0, -2, 4, 0, -2, -2],\n [-8, 2, -7, 3, 4, -1, 1, -3, -12, 6],\n [6, 6, 3, -2, -4, 2, -1, 4, 0, 5],\n [0, 0, 4, -4, -7, -2, 2, -1, 5, 4],\n [6, -2, -1, 2, -2, -3, -8, -2, 2, -6],\n [11, 4, 1, -1, 2, -8, -10, 1, 2, 4],\n [-4, 0, -3, 4, -1, -2, 1, -14, 3, -4],\n [3, -2, -12, 0, 5, 2, 2, 3, 2, 6],\n [-3, -2, 6, 5, 4, -6, 4, -4, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3402517906", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -10, -4, -1, 2, -14, 6, -5, -7, 1],\n [-10, -8, 6, -1, 5, 6, 5, 7, -12, 0],\n [-4, 6, -9, 5, -4, 0, -4, 0, -2, -7],\n [-1, -1, 5, 1, 4, -2, -1, 0, 6, -8],\n [2, 5, -4, 4, -10, -2, 4, 1, -6, 10],\n [-14, 6, 0, -2, -2, 11, 2, -3, -2, -3],\n [6, 5, -4, -1, 4, 2, 6, -2, 2, 7],\n [-5, 7, 0, 0, 1, -3, -2, -3, -4, 3],\n [-7, -12, -2, 6, -6, -2, 2, -4, -5, 2],\n [1, 0, -7, -8, 10, -3, 7, 3, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4623091513", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (9, 1) of the result:\nA =\n[[3, 5, 8, 13, -7, -10, 6, 5, 10, -3],\n [1, 11, 5, 4, 10, -8, 10, -11, 4, -5],\n [-7, 1, -11, -5, 4, 1, -3, 5, -13, 13],\n [-4, 5, 8, -2, -12, 2, -5, -7, -9, -1],\n [4, 9, 7, -14, 10, -4, 10, 10, -1, -2],\n [-3, 7, -9, 14, -11, 9, -6, 13, -8, -8],\n [-2, -13, -13, 13, 0, 11, 1, 12, -13, 5],\n [10, -10, -13, 5, -8, -10, -4, -7, 2, -1],\n [14, -10, -11, -12, -8, 11, -4, -14, 7, 9],\n [3, 7, 12, -14, 14, 1, -2, -9, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38162530", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, -1, -10, -7, 3, -9, -10, -5, 3, 12],\n [-2, 8, 5, -9, 6, -11, -2, 3, -2, -2],\n [-8, -10, 14, -12, -9, -7, 12, 11, 11, -3],\n [-13, -4, 11, 13, 5, -12, 8, -5, -7, -7],\n [-1, -11, 0, -5, 3, 7, 0, 4, 9, -12],\n [-13, -2, -2, 10, -6, 10, -12, -13, -1, 1],\n [-1, -11, -13, 1, -7, 11, -14, 3, 7, -6],\n [11, -3, -10, 6, -12, -7, 13, 7, 11, 13],\n [1, 3, -3, -3, 6, -11, 12, -5, -6, -11],\n [9, -14, -10, 10, -12, -4, -2, 7, -4, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425516596", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-9, 8, 0, -11, -3, -12, 1, -10, 0, -2],\n [8, 13, -1, 3, -14, -6, 8, -2, 0, 4],\n [0, -1, 7, -2, -5, -8, -2, 1, -10, 2],\n [-11, 3, -2, 13, 3, 4, -3, -2, 2, 2],\n [-3, -14, -5, 3, 10, -6, -10, 2, -1, 0],\n [-12, -6, -8, 4, -6, 14, 6, 8, 0, -4],\n [1, 8, -2, -3, -10, 6, -2, -2, 2, 6],\n [-10, -2, 1, -2, 2, 8, -2, -13, 12, 5],\n [0, 0, -10, 2, -1, 0, 2, 12, 7, -2],\n [-2, 4, 2, 2, 0, -4, 6, 5, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13629033147", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 4) of the matrix A^8 where A is:\n[[8, -6, -13, 5, -13, -7, 3, 9, 7, -8],\n [-4, 14, 7, 13, 10, 5, -14, 10, 1, 1],\n [14, -5, 9, 2, 14, -5, -9, -1, 11, 13],\n [13, 0, -11, 12, -13, 4, 13, -2, -3, 10],\n [6, 8, -2, 0, -13, -7, -12, -14, 14, 9],\n [-4, 12, -6, 9, 2, 13, -8, 8, -11, 14],\n [14, -2, 13, 9, -10, 14, -3, 5, 14, -10],\n [-4, -13, -11, -5, 9, -8, -3, -7, 8, 8],\n [12, 8, 1, -13, -12, 2, 0, 3, -5, 7],\n [-13, 2, 1, 9, 10, -8, 4, 1, -14, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64207142510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 5) of the result:\nA =\n[[-2, -5, -4, 4, 0, -4, -12, -13, -4, -5],\n [-12, 12, -10, 0, -11, 2, -14, -14, -3, -5],\n [-6, -6, 10, 11, 5, 5, -1, 11, 8, 14],\n [4, -5, -12, 5, 12, 7, 2, 12, -12, -3],\n [0, -10, 12, 0, 5, 9, 1, -6, -7, -4],\n [12, -6, 1, -1, 0, -1, 9, -5, -2, -14],\n [8, -6, 2, 11, 2, -5, -2, 3, -2, 6],\n [14, 13, 9, -2, 9, -5, 5, -8, -8, -6],\n [1, 0, 10, -12, -2, -4, -7, 6, 6, 9],\n [-9, -5, 11, 2, 5, -6, 6, -1, 5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4318587077", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 6th power of the matrix:\n[[-2, 0, -2, 4, 0, 2, -4, 7, -4, 6],\n [0, -11, -3, 4, -4, -4, 2, -10, -2, -4],\n [-2, -3, -1, -10, -2, 0, -2, 10, 14, -5],\n [4, 4, -10, -14, 6, 4, -3, 6, -4, -7],\n [0, -4, -2, 6, -4, -2, -2, -4, -2, -1],\n [2, -4, 0, 4, -2, 8, 12, 0, 2, 0],\n [-4, 2, -2, -3, -2, 12, 10, 10, 3, 0],\n [7, -10, 10, 6, -4, 0, 10, 11, 6, 8],\n [-4, -2, 14, -4, -2, 2, 3, 6, -2, -6],\n [6, -4, -5, -7, -1, 0, 0, 8, -6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "615398", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-11, 5, -6, -6, -1, 12, 11, 9, 12, -7],\n [8, -14, 9, -4, 12, -11, 14, 2, 2, 4],\n [-2, 4, 11, 2, 9, 5, -3, 5, -1, 7],\n [-6, 10, -3, 9, 2, 1, -3, -5, 11, -13],\n [-12, 12, -10, 1, 6, -2, 11, 9, 3, -13],\n [9, -14, -6, 3, 13, -10, -12, -10, -3, -7],\n [-7, 7, 10, -8, -13, -14, 9, -14, -7, 13],\n [10, 2, 8, -10, 14, -1, -7, 5, 3, 8],\n [14, -8, 9, -1, 10, -1, -9, -12, 6, -1],\n [-1, -12, -5, -6, 6, -8, 11, -8, -8, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89168619146", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[11, -6, 7, -2, -9, -3, -4, -2, -2, 5],\n [-6, -14, 14, 8, 7, 6, 1, -2, 12, 14],\n [7, 14, -7, 2, 0, 9, 3, -2, 0, 7],\n [-2, 8, 2, 3, 0, -12, -5, 10, 4, 7],\n [-9, 7, 0, 0, -12, 0, -2, 5, -4, 0],\n [-3, 6, 9, -12, 0, 1, -7, -2, -10, -6],\n [-4, 1, 3, -5, -2, -7, 12, -2, 5, 1],\n [-2, -2, -2, 10, 5, -2, -2, 14, -1, -13],\n [-2, 12, 0, 4, -4, -10, 5, -1, 2, -5],\n [5, 14, 7, 7, 0, -6, 1, -13, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617238997040", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-5, 4, 4, 2, -2, 0, -4, 6, 10, 6],\n [4, 10, 2, 0, 1, 9, -2, -10, -5, 5],\n [4, 2, 4, 3, 2, -3, 2, -10, -1, -3],\n [2, 0, 3, 10, -11, -4, -3, -10, 9, -7],\n [-2, 1, 2, -11, -4, 0, -8, 12, 0, -4],\n [0, 9, -3, -4, 0, 14, -4, 0, 7, -8],\n [-4, -2, 2, -3, -8, -4, 4, -2, -3, -7],\n [6, -10, -10, -10, 12, 0, -2, 7, 8, -12],\n [10, -5, -1, 9, 0, 7, -3, 8, 1, 2],\n [6, 5, -3, -7, -4, -8, -7, -12, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10518760904", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[5, 4, -9, 9, 5, 6, -10, 0, 10, -2],\n [4, -8, -4, 10, 0, -4, 10, 1, -4, 6],\n [-9, -4, 2, -10, 0, 0, 6, -4, 11, 0],\n [9, 10, -10, 7, -12, 0, -8, 0, 0, -4],\n [5, 0, 0, -12, -14, 6, 13, 2, -10, 8],\n [6, -4, 0, 0, 6, 11, 10, -9, 2, -5],\n [-10, 10, 6, -8, 13, 10, -8, 0, -6, 2],\n [0, 1, -4, 0, 2, -9, 0, -8, 6, -4],\n [10, -4, 11, 0, -10, 2, -6, 6, -13, 0],\n [-2, 6, 0, -4, 8, -5, 2, -4, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29784796099438", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 4) of the 7th power of the matrix:\n[[-11, -2, -7, 6, 7, -7, 10, 10, 8, 10],\n [-2, -1, -2, -1, 3, -6, 1, 0, 12, -8],\n [-7, -2, 11, -8, 12, -1, 10, -2, 8, 0],\n [6, -1, -8, -7, 12, -4, -12, 1, 4, 0],\n [7, 3, 12, 12, 6, 1, 0, -2, -4, 0],\n [-7, -6, -1, -4, 1, -6, -6, -2, 11, 7],\n [10, 1, 10, -12, 0, -6, 9, 0, 0, 0],\n [10, 0, -2, 1, -2, -2, 0, 13, 6, 10],\n [8, 12, 8, 4, -4, 11, 0, 6, -7, -5],\n [10, -8, 0, 0, 0, 7, 0, 10, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194924665", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 12, -5, 6, 4, -11, 7, -9, 0],\n [-9, 3, -4, -3, -7, 9, 7, -1, -11, 3],\n [-9, -9, 11, 4, -13, -11, 9, -10, 0, -12],\n [14, 1, -2, -3, 6, -6, -4, -7, 13, 11],\n [-8, -11, -13, 13, 10, 4, 7, 14, 8, -3],\n [-12, 4, -12, 4, 4, -8, 14, -1, 6, -11],\n [-9, -1, -7, 3, 13, 0, 4, 3, 0, 8],\n [-3, 3, -10, 12, 0, 11, -6, -7, -7, -12],\n [-2, -2, -3, 0, -1, -14, -13, 8, -11, -2],\n [-5, 6, -2, -14, -4, 3, -6, -9, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7461514650", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 10, -5, -10, 7, -5, 10, -10, 5, 13],\n [6, -4, 14, -10, -10, 2, 6, -10, -14, -2],\n [-11, -7, 5, 8, -9, 0, 0, 6, 1, -6],\n [14, 9, -10, 11, 8, 1, 12, 10, -8, -12],\n [-5, 12, 1, 6, -3, -6, 1, -6, 9, 14],\n [7, 8, -8, -4, 2, 9, 7, 8, -5, 0],\n [-5, 12, -13, 1, -8, 9, 13, 6, 0, 2],\n [7, -2, 4, 6, 10, 8, -7, 7, -6, 4],\n [2, -5, -1, 14, 13, 13, -3, 12, 5, 9],\n [7, -8, 14, -6, 3, -8, 13, -11, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6834969632776", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (7, 5) of the result:\nA =\n[[13, -4, 2, -5, -4, -1, 0, -5, 2, -10],\n [-4, 10, -12, 4, -14, -4, 6, 4, -6, 1],\n [2, -12, 8, 6, 2, 3, 10, 11, 1, -2],\n [-5, 4, 6, 3, 10, 10, -8, 6, 7, 0],\n [-4, -14, 2, 10, -8, 4, -5, -8, 11, -7],\n [-1, -4, 3, 10, 4, -3, 0, -2, 12, 9],\n [0, 6, 10, -8, -5, 0, -9, 0, 4, 0],\n [-5, 4, 11, 6, -8, -2, 0, 5, 2, 8],\n [2, -6, 1, 7, 11, 12, 4, 2, 10, 6],\n [-10, 1, -2, 0, -7, 9, 0, 8, 6, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34109745", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[14, -12, 0, 9, 3, 0, 12, -11, -12, 13],\n [-8, 9, 5, 7, 4, 8, -7, -8, -11, -5],\n [13, 10, -5, 0, 9, 7, 3, -5, 8, -6],\n [10, 10, -6, 7, 1, 2, 1, -9, -10, -8],\n [-2, -7, -14, -5, 5, 5, 14, -14, 12, 5],\n [8, -1, 0, -9, 5, -13, 13, 14, -8, 9],\n [10, 10, 5, 4, -10, 7, 13, 14, -7, -12],\n [-2, -9, 6, 14, 8, -1, 10, -8, -4, 7],\n [-6, -5, 5, 2, -7, 7, -9, 6, 11, -4],\n [-12, -9, 2, -8, -9, 6, -2, -1, 4, -7]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1805750778376", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-2, -2, -5, 9, -8, -1, -3, -4, 4, 2],\n [-2, -11, 11, 4, -4, 2, 0, -7, -4, 2],\n [-5, 11, 4, 8, 8, -2, -2, -1, 4, 4],\n [9, 4, 8, -4, -10, -4, -9, 0, -10, -4],\n [-8, -4, 8, -10, -3, -5, -4, 4, -3, 4],\n [-1, 2, -2, -4, -5, 5, -4, -4, 2, -2],\n [-3, 0, -2, -9, -4, -4, 4, 2, 6, -3],\n [-4, -7, -1, 0, 4, -4, 2, 14, -4, 4],\n [4, -4, 4, -10, -3, 2, 6, -4, 12, 12],\n [2, 2, 4, -4, 4, -2, -3, 4, 12, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "946627587", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, -11, 14, -6, 0, -3, -6, -12, 12, 0],\n [10, 6, -4, -9, 0, -8, 4, -1, -11, 6],\n [-14, 9, 12, 8, -2, -4, 13, 14, 3, 8],\n [13, -6, 6, -4, -9, 1, -10, -14, 7, -1],\n [8, 6, 4, -9, 13, -3, 12, -8, -5, -5],\n [13, 10, -2, -8, 4, -14, 0, -1, -2, -8],\n [-3, -7, 0, 12, 2, 6, -3, 13, -2, -7],\n [-5, -8, -13, 14, 14, 1, 14, -11, -9, -8],\n [8, 4, 13, 9, 8, -11, -5, 14, -11, 5],\n [-10, -1, -4, -13, -6, 7, -3, 9, 12, -14]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "780093459", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 10) of the result:\nA =\n[[7, 4, 2, 0, 3, -6, 1, 6, -6, 5],\n [4, -6, 0, -3, 0, 10, 2, 5, 0, -7],\n [2, 0, -1, 4, 9, 6, 7, -2, -4, -8],\n [0, -3, 4, 8, 2, 2, 10, -2, 0, -6],\n [3, 0, 9, 2, 10, 4, 8, -11, -8, -4],\n [-6, 10, 6, 2, 4, -13, 2, 0, 6, -6],\n [1, 2, 7, 10, 8, 2, -14, 5, 2, 1],\n [6, 5, -2, -2, -11, 0, 5, 13, 2, 0],\n [-6, 0, -4, 0, -8, 6, 2, 2, 3, 7],\n [5, -7, -8, -6, -4, -6, 1, 0, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1373032255", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[8, -5, -12, 1, -9, -11, 5, -6, 14, -8],\n [1, -9, -3, 10, 14, -12, -3, 5, -1, -1],\n [-6, -11, 8, 10, 5, 10, 0, -8, 5, 4],\n [-9, 4, -8, -14, -8, -12, 10, -9, 8, 10],\n [-9, 11, -4, -13, -9, 7, 3, 8, -1, -3],\n [-6, -2, 11, 5, 12, 6, 7, -14, -7, 13],\n [14, -6, 2, -2, -11, -9, -2, 11, 2, 4],\n [8, 9, 14, -7, 6, 2, 2, 9, 6, 0],\n [12, 10, -14, -13, 5, -5, 12, 1, 8, -11],\n [-7, 1, -8, -10, 8, -7, -12, -12, 3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31745596260716", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^7 where A is:\n[[12, -11, 0, 0, 14, -11, -13, 8, 11, -12],\n [13, -5, -14, 3, -10, -6, 5, -9, 4, -6],\n [3, 9, 0, 0, 12, -1, -12, -7, 4, -4],\n [13, 13, -11, 0, 9, -5, 5, -4, 10, -6],\n [7, 2, -6, 10, 14, 8, -6, 9, 10, -6],\n [8, 7, -13, -2, 8, -14, -9, -9, 1, -3],\n [0, -8, -13, 14, -3, 5, -13, -11, -12, -13],\n [3, -12, -5, -3, -11, 8, 5, 12, -8, 5],\n [4, -7, -12, 12, 0, -7, 3, 14, -1, 4],\n [-11, -12, 7, -6, -5, -7, 5, -13, 11, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2618186476", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[12, -4, -2, -4, 2, 4, 0, -1, 8, 4],\n [-4, 14, -2, 0, 12, 0, -4, 2, 0, 3],\n [-2, -2, -14, 4, 6, 0, 7, -4, -3, -12],\n [-4, 0, 4, 9, 10, -3, 8, 8, 4, 2],\n [2, 12, 6, 10, 6, 0, 3, 2, -2, -5],\n [4, 0, 0, -3, 0, -5, -5, -2, 8, 0],\n [0, -4, 7, 8, 3, -5, -13, 4, 4, -8],\n [-1, 2, -4, 8, 2, -2, 4, 6, -4, 3],\n [8, 0, -3, 4, -2, 8, 4, -4, 9, -1],\n [4, 3, -12, 2, -5, 0, -8, 3, -1, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179883756842", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[0, -6, 9, -4, -1, 10, 0, -9, -2, -1],\n [-6, -2, 4, -2, -6, -2, -4, 0, 1, -4],\n [9, 4, -13, -3, -3, -2, -3, 6, -4, -3],\n [-4, -2, -3, -9, -6, -6, 1, -10, -7, 6],\n [-1, -6, -3, -6, -11, 4, -12, -7, -2, -2],\n [10, -2, -2, -6, 4, 1, -4, 1, -10, -8],\n [0, -4, -3, 1, -12, -4, -7, -10, 2, -2],\n [-9, 0, 6, -10, -7, 1, -10, -10, 10, 3],\n [-2, 1, -4, -7, -2, -10, 2, 10, 3, 3],\n [-1, -4, -3, 6, -2, -8, -2, 3, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "591590468200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-2, -7, 13, -1, -12, -11, -4, -8, 6, -10],\n [-13, -9, 5, -10, 0, -4, -10, 3, -7, -4],\n [2, -1, -13, -8, 8, 3, -14, 0, 14, 11],\n [-14, 2, 7, 11, 13, -8, 1, -13, 0, 7],\n [5, 14, 10, -4, 9, 9, -13, -4, 6, 1],\n [-13, 4, 1, -7, 6, 5, -10, -7, 11, -1],\n [-1, 8, 7, 3, 11, -10, -5, 0, -2, -6],\n [10, -6, 4, 10, -6, -10, 14, -9, 8, -5],\n [11, -5, -9, 6, 14, -14, 5, -2, -7, 9],\n [13, -2, -9, 14, 4, -3, 0, -7, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1197991625", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, 4, -4, -9, 0, 2, -3, 9, -13, 6],\n [7, -11, 10, -12, -13, 4, -10, 2, 1, 1],\n [11, -3, -11, 2, 10, 4, -13, -10, -14, 11],\n [-1, 8, -6, 2, -3, 9, 9, 8, 11, 5],\n [-3, 0, 1, 8, 3, 7, -1, -3, -4, 0],\n [6, 6, 12, -7, 2, -7, -11, 14, -5, -9],\n [-9, 2, -7, -2, 0, -11, 14, 13, 10, 0],\n [8, -1, -4, 5, 13, 2, 10, -5, -9, -9],\n [-14, -10, -11, -4, 2, -8, 5, -12, -13, -7],\n [-10, 11, 10, -10, -5, -3, 2, -1, 11, -10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1275697006", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -2, -4, -3, 6, -5, 9, -7, -4, 2],\n [-2, 6, 0, 0, -8, 6, 3, -12, 10, 2],\n [-4, 0, 5, -10, 6, 0, 0, -6, 6, 6],\n [-3, 0, -10, 0, -8, -2, 5, 9, 4, 5],\n [6, -8, 6, -8, 5, -2, 0, 9, -2, -4],\n [-5, 6, 0, -2, -2, 6, -6, -5, 2, -4],\n [9, 3, 0, 5, 0, -6, -14, 8, 0, -6],\n [-7, -12, -6, 9, 9, -5, 8, 3, -4, -5],\n [-4, 10, 6, 4, -2, 2, 0, -4, 1, 10],\n [2, 2, 6, 5, -4, -4, -6, -5, 10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564416171428", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[14, 4, -8, 4, 7, -4, 6, -2, 2, 2],\n [4, 1, -3, 10, 6, -4, -2, 4, 2, -10],\n [-8, -3, 10, -7, 5, 0, -1, -3, -3, -8],\n [4, 10, -7, -9, 0, -6, 6, 0, 10, 4],\n [7, 6, 5, 0, -7, -1, 3, -1, 5, 4],\n [-4, -4, 0, -6, -1, 14, 6, 2, -6, 10],\n [6, -2, -1, 6, 3, 6, 3, -2, 10, -9],\n [-2, 4, -3, 0, -1, 2, -2, -6, 4, 12],\n [2, 2, -3, 10, 5, -6, 10, 4, 8, 0],\n [2, -10, -8, 4, 4, 10, -9, 12, 0, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16505092511", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[11, 8, 9, -4, 3, -1, 2, -4, -1, 10],\n [8, -3, 8, 0, -8, -6, -4, 3, 0, 3],\n [9, 8, 6, -4, 0, -2, -2, 2, 3, 1],\n [-4, 0, -4, -6, -10, -11, -4, -9, -10, 6],\n [3, -8, 0, -10, 13, 0, -9, -2, 8, 6],\n [-1, -6, -2, -11, 0, 14, -6, 11, 9, 6],\n [2, -4, -2, -4, -9, -6, 2, -8, 6, 8],\n [-4, 3, 2, -9, -2, 11, -8, -9, 0, -8],\n [-1, 0, 3, -10, 8, 9, 6, 0, -2, -10],\n [10, 3, 1, 6, 6, 6, 8, -8, -10, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27815453875", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, 4, 13, -14, -11, 9, -4, -8, -8, -1],\n [0, -10, -1, -2, 5, 11, 7, 3, -14, -2],\n [8, 14, 5, -8, -9, 12, -6, 13, -5, 7],\n [-12, -8, 10, -4, 11, -3, -3, -2, 7, 8],\n [-7, -11, 6, 5, -14, -9, 8, -13, 7, -1],\n [12, 3, -5, 14, 6, -14, -12, 5, -11, 3],\n [-7, 7, -6, 7, 4, 13, -13, -6, -12, 7],\n [11, -13, -8, 2, 10, 2, -6, 12, -14, -14],\n [-7, 2, -7, 4, -11, 3, -2, 7, -8, 11],\n [-12, -1, -6, -12, -8, 0, -11, -10, 13, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9265484195445", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-12, 1, 1, 4, 10, -6, 14, 5, -14, 2],\n [-3, -6, 7, -10, 14, 13, 0, 11, -2, 4],\n [-12, -13, -2, -8, -6, 7, -5, -14, 7, 1],\n [-4, 9, -7, 11, -2, 1, -12, -2, 2, 6],\n [-9, -5, -6, 3, 2, -8, -13, -4, 3, -12],\n [-1, 5, -2, 8, 2, 14, 7, -4, -8, -12],\n [-12, -13, 6, 1, 8, -4, 13, -1, -12, -8],\n [-7, -2, 4, -4, -14, 4, -2, 7, 2, -6],\n [4, 4, 13, 8, 8, 14, -9, -8, -10, -7],\n [11, -1, 3, 6, 12, 10, 5, 9, -12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46428379621", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -1, 10, -1, 14, -8, -9, 12, -9, -3],\n [7, 0, 11, 10, 4, -11, -12, -2, 10, 1],\n [-2, 6, -5, -2, -7, -3, -7, -6, -5, -8],\n [-12, -10, -12, 3, 4, 13, -5, -6, 10, 9],\n [-8, -14, 10, -5, -13, -9, 11, 6, -9, 9],\n [-7, 11, 3, -8, 3, -14, 13, 9, 10, -1],\n [8, 5, -8, 5, -8, -11, 10, -10, 8, 12],\n [9, 6, -14, 5, -12, -2, -8, -9, -9, -13],\n [1, -9, -7, 6, 10, -4, 3, 8, -9, -1],\n [0, -4, 12, 0, -2, -9, -11, -1, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "301668815301", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 2, 14, -8, 4, -10, 6, -9, -8, -4],\n [2, -9, 2, 1, 2, -6, -4, -9, -9, -4],\n [14, 2, -12, -4, -1, -5, -1, 1, 3, -6],\n [-8, 1, -4, 5, -7, -2, 4, -12, 2, 0],\n [4, 2, -1, -7, -13, 0, 2, 0, 0, -2],\n [-10, -6, -5, -2, 0, 2, 0, -2, -2, -7],\n [6, -4, -1, 4, 2, 0, 5, -4, 0, 10],\n [-9, -9, 1, -12, 0, -2, -4, 13, -8, -4],\n [-8, -9, 3, 2, 0, -2, 0, -8, -8, 4],\n [-4, -4, -6, 0, -2, -7, 10, -4, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45518005063", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (9, 4) of the result:\nA =\n[[4, -8, -1, -3, 2, -4, -2, 3, 4, 5],\n [-8, 8, 11, 8, -1, 2, -2, -1, -12, 5],\n [-1, 11, -4, 2, -2, 0, 10, -8, 8, 5],\n [-3, 8, 2, -4, 0, 4, -6, 9, 2, 10],\n [2, -1, -2, 0, -9, 4, 6, 14, 2, 7],\n [-4, 2, 0, 4, 4, -12, -8, -8, 0, 0],\n [-2, -2, 10, -6, 6, -8, 11, 3, 0, 8],\n [3, -1, -8, 9, 14, -8, 3, 10, 2, -8],\n [4, -12, 8, 2, 2, 0, 0, 2, 10, 2],\n [5, 5, 5, 10, 7, 0, 8, -8, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1278411448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[13, 1, 6, -1, 8, 4, 3, -4, 12, 6],\n [1, 1, 5, -6, -7, -9, -12, 0, -2, -2],\n [6, 5, 13, 0, 0, -2, -4, 0, 1, 12],\n [-1, -6, 0, -5, -1, 0, -2, -1, -4, -9],\n [8, -7, 0, -1, 3, -2, -13, 2, 6, 5],\n [4, -9, -2, 0, -2, -9, 11, -8, 0, 4],\n [3, -12, -4, -2, -13, 11, 0, 8, 0, -12],\n [-4, 0, 0, -1, 2, -8, 8, -10, 0, 8],\n [12, -2, 1, -4, 6, 0, 0, 0, 14, 0],\n [6, -2, 12, -9, 5, 4, -12, 8, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8949386804", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[8, -3, -14, 11, 10, 7, 5, -13, -6, 7],\n [10, 3, -10, 7, -1, -4, 6, 7, -12, -6],\n [-13, -1, 13, -13, 6, 12, -5, 4, 14, 14],\n [-13, 1, -9, -3, 7, -8, -11, -7, 4, -5],\n [-14, -10, -9, 12, 14, 4, 3, 4, 4, 8],\n [-14, 12, 5, -4, -12, -5, 12, -8, 2, 9],\n [11, 1, -8, -2, -3, -3, -7, -7, -2, -4],\n [10, -14, 10, 2, 4, -2, 8, 0, 14, 9],\n [-3, 6, 2, -12, -8, -13, -13, 10, -9, -11],\n [1, 0, -5, -1, -6, 0, -8, -8, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284280303", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 3, 4, 6, -7, -2, 12, -4, 14],\n [4, -8, 12, 12, -10, -10, -7, -5, -10, 11],\n [0, 8, 1, 14, 13, -5, 9, -7, 4, -11],\n [-1, 14, -7, 6, -1, -3, -14, 8, 4, 3],\n [-3, -5, 6, -14, -1, -6, 11, 0, 6, 7],\n [8, -1, -6, -4, -10, -3, 1, 5, 13, -12],\n [-10, 11, 11, 14, 4, -10, 9, 3, 14, -11],\n [9, 0, -10, -7, 1, 7, -14, -10, 11, 3],\n [1, 8, -5, -11, 3, 2, 6, 12, 11, -2],\n [-7, -7, -3, 14, 11, 3, -9, -8, 11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104065550162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-10, 8, 0, 12, 6, -3, 0, 12, 1, 8],\n [8, -7, 2, -2, 1, 0, 6, 6, -2, -8],\n [0, 2, 3, -1, 8, -4, 2, -10, 6, -4],\n [12, -2, -1, -8, -1, 5, 2, 6, -4, -3],\n [6, 1, 8, -1, -9, 5, 1, -3, -2, -1],\n [-3, 0, -4, 5, 5, -7, 6, -2, 0, 4],\n [0, 6, 2, 2, 1, 6, 6, -6, 2, -6],\n [12, 6, -10, 6, -3, -2, -6, 7, 8, -4],\n [1, -2, 6, -4, -2, 0, 2, 8, 5, 6],\n [8, -8, -4, -3, -1, 4, -6, -4, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "562884853", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-14, 10, 6, 0, 4, -13, 13, 9, 9, -1],\n [7, -13, 12, 0, -14, 7, -14, -3, 7, 0],\n [11, 3, 0, -8, -3, -5, -13, -13, -9, 5],\n [-9, 13, 9, 12, -5, -12, 1, -10, -10, -5],\n [10, 8, -2, 10, 9, -12, 3, 4, -9, 12],\n [13, 11, 5, 12, -14, -5, -5, 14, 10, 7],\n [-14, 4, -4, 12, -2, 2, 13, 10, 5, 3],\n [-11, 0, -13, -9, 7, 12, 8, -6, -4, 10],\n [5, 1, 10, -7, 13, 2, 8, 8, 11, -11],\n [-8, -4, 12, -4, -4, 11, 11, 6, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3549447440793", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-10, -9, 8, -10, -6, 13, -4, 10, 8, 11],\n [-12, 5, -11, 8, 0, 3, 12, -10, -4, -4],\n [-11, 1, 11, -4, 10, -14, 11, -2, 4, -9],\n [12, 5, 4, -9, -2, -4, 4, -8, -3, 1],\n [-14, 10, 0, -2, -5, 3, -11, 7, -9, 12],\n [-7, 9, 5, 7, -6, 8, 14, -7, 9, 3],\n [-8, 4, 8, 3, -14, -4, -6, -5, -5, -14],\n [12, 2, 12, -3, -3, 4, 2, -8, 8, -4],\n [9, -13, 1, 8, -6, 12, -5, 6, -5, -12],\n [10, 2, 13, -1, 4, 3, 3, -1, -12, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9091182727", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, 0, 2, 2, -6, 0, 12, 3, 4, 5],\n [0, 14, 7, 9, -4, -1, -10, 3, 11, 4],\n [2, 7, -2, -2, -6, -9, -7, 1, 0, 2],\n [2, 9, -2, -4, -9, 6, -2, 8, 6, 1],\n [-6, -4, -6, -9, -13, -2, 6, 2, -8, -4],\n [0, -1, -9, 6, -2, 9, 8, -4, 2, -3],\n [12, -10, -7, -2, 6, 8, 3, 8, -4, 2],\n [3, 3, 1, 8, 2, -4, 8, -10, 0, 2],\n [4, 11, 0, 6, -8, 2, -4, 0, -1, -2],\n [5, 4, 2, 1, -4, -3, 2, 2, -2, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2358939176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[2, 4, -1, -10, -2, 2, 6, -4, 2, -1],\n [4, -10, 0, 6, 12, 4, 0, 3, 2, -7],\n [-1, 0, 11, -7, -6, 2, 2, 4, -6, 2],\n [-10, 6, -7, -7, -9, -10, -12, -8, 12, -2],\n [-2, 12, -6, -9, 5, -2, -4, 2, 0, 8],\n [2, 4, 2, -10, -2, 9, -10, -6, 8, -2],\n [6, 0, 2, -12, -4, -10, 11, -1, 4, -12],\n [-4, 3, 4, -8, 2, -6, -1, -5, 5, -2],\n [2, 2, -6, 12, 0, 8, 4, 5, -8, 0],\n [-1, -7, 2, -2, 8, -2, -12, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217517687138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-4, 2, -3, -4, 6, -3, 1, 0, 2, 2],\n [2, -8, 4, 0, -2, -6, 4, 2, -12, 3],\n [-3, 4, 1, 10, 9, 5, 0, 2, -4, 2],\n [-4, 0, 10, -4, -1, 4, 3, -9, -8, 4],\n [6, -2, 9, -1, -8, 5, 0, 0, 0, 12],\n [-3, -6, 5, 4, 5, -5, 10, 1, 0, -6],\n [1, 4, 0, 3, 0, 10, 7, -2, 4, 2],\n [0, 2, 2, -9, 0, 1, -2, 6, 10, 2],\n [2, -12, -4, -8, 0, 0, 4, 10, 6, -4],\n [2, 3, 2, 4, 12, -6, 2, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3794573054", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, -9, -5, 10, -9, -6, -2, 1, 1, 4],\n [-10, -4, 6, 0, 14, 11, -7, 0, -4, 14],\n [-2, 12, 8, -13, 12, -13, 8, 11, -3, 11],\n [5, 7, -6, 11, 12, 5, 0, -8, 10, -1],\n [2, 11, 12, -13, 14, -6, -2, -10, -11, 8],\n [6, -14, -6, 9, 1, 4, 11, -12, -12, -8],\n [3, 10, 5, -8, 9, 1, 6, 9, -11, -2],\n [-5, -13, 4, -1, -9, 11, -2, 7, 13, -3],\n [-3, 8, -3, -4, -1, -11, -2, -7, 9, 12],\n [8, -12, -1, 4, 3, -4, -2, 8, -9, 13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255583589279", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 10) of the 6th power of the matrix:\n[[8, 3, 5, -14, -13, -8, -10, 11, 4, -13],\n [-12, 5, -5, -5, 6, -7, -6, -13, 13, -12],\n [1, -11, 8, -9, -2, -9, -5, 8, 2, -7],\n [-6, -13, 2, 5, -4, 3, 7, -12, -6, -7],\n [14, -8, 12, -8, 8, 6, -7, 5, -10, -12],\n [4, -13, -1, 6, 13, -13, -5, 5, -5, 13],\n [2, -13, 12, -14, 3, -11, -14, 7, 2, -12],\n [-13, 3, -11, 10, -12, -3, 7, 1, 13, -4],\n [-5, 4, -5, 6, 10, -12, 9, -9, -1, -3],\n [-7, -13, -6, -1, -14, -12, 5, -9, 12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86916413", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-2, -7, 6, 8, 3, 8, -2, 3, 2, 3],\n [-7, -4, -1, -6, 3, -2, 0, 1, 5, -3],\n [6, -1, 5, 4, 0, -14, -6, -1, -2, -2],\n [8, -6, 4, -14, 6, 4, 5, 2, -8, -12],\n [3, 3, 0, 6, -8, 2, 12, 0, -10, -4],\n [8, -2, -14, 4, 2, -1, 2, 2, -2, 0],\n [-2, 0, -6, 5, 12, 2, -4, 0, 2, 2],\n [3, 1, -1, 2, 0, 2, 0, -5, 2, -5],\n [2, 5, -2, -8, -10, -2, 2, 2, 0, 0],\n [3, -3, -2, -12, -4, 0, 2, -5, 0, -11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170541738866", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-9, -13, -2, 12, -13, -2, 0, 14, 3, -4],\n [-10, 14, 10, -1, 7, 1, -1, -6, -9, -6],\n [14, -10, -4, -3, 2, -9, 5, 10, -9, 0],\n [2, 7, -12, 4, 8, -13, -6, -6, -8, 10],\n [1, 12, -9, -6, 11, -2, -13, -1, -10, -4],\n [0, -9, 13, -9, 1, 12, 5, 14, -11, -10],\n [-9, 13, -2, -1, 9, 13, -2, -5, 2, 9],\n [3, 12, -8, -11, 9, 7, 6, 1, -5, 11],\n [6, 5, 4, -12, 4, 8, 9, -2, -7, 3],\n [4, 3, 7, 12, 4, 7, -11, -2, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6002756103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[11, 0, -5, 7, 14, 4, 6, -7, 4, 10],\n [-6, 14, -8, -7, -6, 2, 0, 1, -8, -5],\n [4, -9, 10, -3, 0, -5, 12, 9, 3, -11],\n [-4, -10, -2, -5, 7, 14, -8, -4, -11, -11],\n [-10, 10, -6, -14, 14, 1, -10, -10, -8, -7],\n [4, -14, 3, 7, -4, 7, 12, 14, 1, 6],\n [-4, 6, -6, 12, -8, 7, 0, -4, 8, 4],\n [14, -8, 1, -12, 1, -7, 11, -5, -6, -12],\n [-8, -7, -12, 1, 7, 14, -1, -8, -11, -9],\n [-8, -3, -8, 12, -14, 3, -4, -4, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12019088547", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-3, 8, 12, 8, 4, 6, 3, 6, 9, -2],\n [-5, 4, -11, 9, 0, 3, -14, 4, -13, -5],\n [3, -11, 14, 14, 7, -5, 11, 6, -11, 9],\n [12, 6, 3, 5, 8, -11, 0, 7, 3, -6],\n [5, 14, 2, -12, -2, -8, -1, 11, 10, -9],\n [-1, -1, 14, -1, 5, 3, -6, -3, -1, 9],\n [8, 1, -13, 1, 3, 9, -6, 10, -7, -14],\n [-10, -8, -5, 7, -4, -3, -14, 11, -9, -11],\n [-12, -11, 9, 12, -9, 10, -10, 12, -6, -11],\n [-1, 0, 13, -11, 7, -1, 14, -5, 12, -8]], determine the value at position (6, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1690541029", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 7) of the matrix A^8 where A is:\n[[3, -2, -4, 6, 0, -10, -10, -7, 12, 0],\n [-2, -8, -4, -2, 3, 8, -8, 4, 9, -2],\n [-4, -4, 0, -6, 6, 4, 7, 4, -5, -4],\n [6, -2, -6, 12, 2, 0, -2, 4, 1, 0],\n [0, 3, 6, 2, -5, 0, 0, 12, -12, -8],\n [-10, 8, 4, 0, 0, 0, 3, 8, -8, 0],\n [-10, -8, 7, -2, 0, 3, 2, 7, -3, -4],\n [-7, 4, 4, 4, 12, 8, 7, 6, -4, 12],\n [12, 9, -5, 1, -12, -8, -3, -4, 11, 6],\n [0, -2, -4, 0, -8, 0, -4, 12, 6, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "881620739923", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-10, -2, 7, -14, 3, -8, 2, -7, 4, 1],\n [-1, 5, 8, -5, 8, -13, 6, 9, 1, 10],\n [-2, -10, 3, 5, -4, -10, 7, 13, 7, -2],\n [13, -14, -9, -4, -5, -14, 1, -2, 6, 12],\n [1, 0, -8, -1, 9, -4, 12, -2, -10, 3],\n [-12, -3, -8, 11, 5, 0, -14, 4, -5, -1],\n [0, -13, 10, 2, 10, -5, -10, 13, -9, -9],\n [13, -9, 10, -1, -2, -2, 10, 12, -5, 1],\n [-8, -12, 0, 8, -10, 10, -7, 11, 13, 7],\n [-10, 11, -13, 12, 13, 4, -4, -4, -12, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10117670530", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[5, 4, 8, 14, 0, -9, -2, 9, 3, 3],\n [-14, 6, 8, 10, 6, 12, -4, 1, -14, 4],\n [-7, 4, 8, 1, 11, -12, -13, -3, 14, -5],\n [7, -13, 11, 6, -10, -10, -9, -12, -5, -10],\n [9, 5, -10, 0, 2, 2, 9, 3, 11, -5],\n [8, -8, -4, -1, -6, 2, -13, 2, 2, 12],\n [5, 9, -5, 9, -3, -3, 12, 0, -6, 3],\n [1, 14, -8, 13, -1, -11, -12, -3, 1, -11],\n [-11, -12, -6, 9, -1, -3, -5, -1, -3, -3],\n [-13, 4, -2, -5, 8, 6, -14, -14, 13, -7]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20516342088", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-9, 7, -8, 0, -1, 11, -5, -2, -6, 0],\n [7, -11, -3, -7, -6, 2, -5, -2, -10, 1],\n [-8, -3, 7, 1, 8, 1, -6, -7, -2, 0],\n [0, -7, 1, 6, 5, -10, 2, 9, -8, -4],\n [-1, -6, 8, 5, 3, -8, -2, -2, 6, 2],\n [11, 2, 1, -10, -8, -12, 6, 4, -6, 11],\n [-5, -5, -6, 2, -2, 6, -8, 0, 4, 9],\n [-2, -2, -7, 9, -2, 4, 0, -12, 6, 0],\n [-6, -10, -2, -8, 6, -6, 4, 6, -3, -8],\n [0, 1, 0, -4, 2, 11, 9, 0, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271782924953", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (4, 5) of the result:\nA =\n[[-10, -6, 0, 6, 5, -9, -7, 5, -10, 11],\n [2, -5, 13, -14, 1, 9, 8, 6, 10, -14],\n [-12, -9, 2, 13, 7, -13, 11, -10, -4, -5],\n [0, 3, 2, -1, 13, 13, -2, 5, -13, 10],\n [-3, 12, -4, 4, -3, 10, -11, -5, -3, -8],\n [8, -9, -7, 12, -4, -9, 10, 6, 12, -12],\n [6, 5, 4, -14, 9, -11, 13, 4, 13, 5],\n [2, 13, 7, 4, 9, 12, -1, 14, -5, 6],\n [-6, 10, 1, 0, 12, 1, 3, 6, 8, 8],\n [-5, -12, -8, -8, 5, -4, 8, 9, -12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13960719", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[10, 13, -3, 8, 2, 11, 11, -6, -10, 3],\n [8, -6, -2, -12, -11, 10, 3, 5, 6, 0],\n [5, 8, -9, -6, -4, 14, 14, -2, -11, 12],\n [0, 10, 2, -3, -9, -8, 10, 2, -4, -3],\n [13, -2, -14, 3, 7, 4, -4, 7, 3, 14],\n [-5, -9, 8, 7, -13, -10, -5, 0, 14, -1],\n [-9, -1, 9, 10, 6, -1, -3, 8, -11, 11],\n [-3, 6, 2, 14, 4, 1, 3, -9, -6, 11],\n [4, -3, -4, 13, 1, -13, 3, -9, 11, 7],\n [-10, -6, -2, -8, 8, 12, -14, -5, 11, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "658443603104", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-3, -12, -10, -1, 12, 0, -3, -11, 9, 1],\n [-4, -11, -9, 10, 1, -13, -2, -7, -3, 6],\n [11, -9, -12, 0, -7, -13, 1, -2, -14, -4],\n [13, -14, -7, -13, -2, 14, 6, -13, 12, -11],\n [10, -13, -2, -11, 14, 11, 6, 11, 0, 14],\n [11, 6, -3, -3, -10, 14, -5, 11, -13, -7],\n [12, -10, 7, -7, 9, -2, 14, -2, 11, 8],\n [0, 0, 9, 11, -4, 8, -5, -9, -10, -10],\n [-7, -14, -13, 2, 14, 11, -8, 14, 10, 8],\n [-6, -11, -8, 13, -5, 1, -5, -8, 11, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2753153904", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-13, -6, -1, -8, 6, -9, 6, 1, -4, -4],\n [-6, -8, 2, 8, -1, 0, 2, 4, 4, -6],\n [-1, 2, -5, 1, 2, 6, 2, -8, -4, 0],\n [-8, 8, 1, -4, -4, -8, 11, 0, 0, 2],\n [6, -1, 2, -4, -11, 4, 10, 3, -11, 6],\n [-9, 0, 6, -8, 4, -4, 10, -8, 4, 1],\n [6, 2, 2, 11, 10, 10, 10, 6, 4, 4],\n [1, 4, -8, 0, 3, -8, 6, 1, 7, 8],\n [-4, 4, -4, 0, -11, 4, 4, 7, 1, 0],\n [-4, -6, 0, 2, 6, 1, 4, 8, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2396857602210", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[11, 3, 8, 10, -7, -1, 3, 4, 9, -11],\n [7, 13, -1, -13, 2, -9, -7, 14, 1, 6],\n [-14, 11, 3, -12, 14, 14, 13, 3, 10, -5],\n [-13, 4, 10, -4, 4, 9, 9, 12, -12, -5],\n [1, 13, 11, -12, 9, 4, 5, 6, -8, 2],\n [-7, -12, -8, 12, -5, 12, 4, 10, 0, 11],\n [0, -10, -12, -12, 14, -11, 0, 1, -10, 6],\n [-7, -5, 7, 6, -13, -1, -10, -8, -4, -12],\n [-3, -1, 8, 14, -14, 14, 7, 1, 0, -14],\n [8, 7, -2, 11, 12, 0, 2, -6, -10, 12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57173540790", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[8, 2, -3, -9, -2, 4, -4, -5, 7, -8],\n [2, -5, 8, -2, 2, -5, 0, 8, 7, -1],\n [-3, 8, 10, -2, 4, 7, 8, 4, 4, -2],\n [-9, -2, -2, -11, -2, 8, 4, 3, 0, 1],\n [-2, 2, 4, -2, -13, 4, -8, 5, -1, 13],\n [4, -5, 7, 8, 4, 8, -6, 0, 3, -10],\n [-4, 0, 8, 4, -8, -6, 12, -4, 4, 1],\n [-5, 8, 4, 3, 5, 0, -4, 2, 0, -2],\n [7, 7, 4, 0, -1, 3, 4, 0, -11, 2],\n [-8, -1, -2, 1, 13, -10, 1, -2, 2, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6382823767", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[0, 0, 13, -8, 0, -8, -2, -3, 3, -8],\n [-8, 0, -6, -9, 11, 12, 11, -6, 4, 9],\n [5, 1, 1, 12, -14, 8, -2, 4, -11, 4],\n [7, -5, -2, -14, -2, -5, 0, 14, 0, -8],\n [11, -1, -7, 4, 10, 3, 0, 11, 12, 11],\n [-6, -3, 6, 7, -1, -13, -10, 7, -10, -1],\n [-11, 9, -13, -14, -13, -2, 12, 5, 2, 10],\n [-2, 2, -10, 9, 10, 10, -7, 7, 7, 14],\n [-3, -6, 3, 1, 4, 7, -7, -8, 9, 6],\n [-6, 7, -3, -1, -5, 1, 14, -13, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-471108465", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, -10, -10, 2, 11, -10, 11, -4, -6, 0],\n [9, 9, -12, 1, -6, 10, 11, 8, -9, -6],\n [12, 7, 4, -9, -4, -13, 3, 13, -8, 9],\n [8, 6, -11, 9, 13, 10, -8, 2, -11, -2],\n [5, 11, 4, -11, 10, -2, -14, -13, -8, 10],\n [8, 2, 14, -8, 7, -2, 2, -14, 13, -13],\n [-9, -3, -2, 5, 5, 7, -6, 2, 3, -7],\n [-7, 12, -4, 7, 7, 13, -7, 3, 3, -2],\n [-14, 0, 7, -9, -9, -2, 12, -13, 8, 4],\n [2, -14, -1, 1, 0, -6, 4, -7, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4802568854543", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[8, 3, -10, 1, 0, -11, -1, 2, 4, 2],\n [3, -13, 8, -8, -4, 0, 8, 7, -3, 0],\n [-10, 8, -3, -6, -8, -5, 1, 4, 4, -10],\n [1, -8, -6, 10, -4, -4, 6, -10, 1, 12],\n [0, -4, -8, -4, 7, 11, 8, 6, 3, -4],\n [-11, 0, -5, -4, 11, 8, 3, 5, -5, 8],\n [-1, 8, 1, 6, 8, 3, -2, 13, -7, 0],\n [2, 7, 4, -10, 6, 5, 13, -5, 9, -4],\n [4, -3, 4, 1, 3, -5, -7, 9, 12, -9],\n [2, 0, -10, 12, -4, 8, 0, -4, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "850639330497", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[6, -4, 10, -9, 0, -11, -8, 5, 2, -10],\n [-4, 13, -2, 2, -4, -2, 10, -2, 2, -11],\n [10, -2, -5, 4, 1, -10, -2, -10, 3, 0],\n [-9, 2, 4, 3, 4, -14, -2, -5, 10, 2],\n [0, -4, 1, 4, -14, 4, 6, -12, -3, -12],\n [-11, -2, -10, -14, 4, -12, 0, 4, -1, 9],\n [-8, 10, -2, -2, 6, 0, 14, 4, -5, 8],\n [5, -2, -10, -5, -12, 4, 4, -3, 2, -3],\n [2, 2, 3, 10, -3, -1, -5, 2, 13, 8],\n [-10, -11, 0, 2, -12, 9, 8, -3, 8, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1451061391792", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[6, -8, 3, -5, -11, 6, -7, 7, 7, 6],\n [11, -2, -1, 6, 2, -3, -11, -6, 0, 0],\n [3, 12, -9, -13, -6, -10, 10, -3, 14, 11],\n [-10, -3, 10, 0, -13, -4, 8, 9, 4, 2],\n [3, -5, -10, 10, 6, 2, 13, -14, -2, -13],\n [2, 0, -7, -13, 13, 12, -7, 12, -10, 2],\n [-11, -3, 3, -9, -10, 13, 10, 13, 4, -10],\n [-5, 8, 10, 4, -11, -2, -2, 2, 3, 4],\n [11, 8, 8, 2, 10, -12, -2, -2, -12, -13],\n [0, -12, 7, 1, 14, -5, 5, -13, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32106000", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -14, 11, 9, -13, -6, 14, 5, 5, 8],\n [4, -3, -3, -5, 4, 5, -5, 4, 11, 9],\n [-6, 14, 14, -10, 13, 14, 14, -12, 8, 4],\n [7, 12, -11, 8, -1, -9, -2, 13, -8, -3],\n [13, 5, 13, 13, -1, -2, -4, -9, 11, -8],\n [-5, 9, 11, 0, -6, -12, -10, 13, -5, 0],\n [-12, 6, 3, -12, -8, 9, 6, -1, 1, 4],\n [-11, -12, -12, -6, -11, 7, 4, 9, 13, -4],\n [0, -11, 14, -7, -13, 10, 3, -12, -12, 6],\n [4, -3, 9, -1, 11, 8, 12, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41008695023594", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (7, 10) of the result:\nA =\n[[7, 2, 6, 3, -2, 1, -2, 0, -9, -8],\n [2, 9, -9, 0, -12, -2, 6, -6, 9, 5],\n [6, -9, 4, 4, 6, -3, -4, 1, 14, 0],\n [3, 0, 4, 13, 6, 4, 3, -2, 5, -2],\n [-2, -12, 6, 6, 1, 9, -2, -3, -7, -3],\n [1, -2, -3, 4, 9, 13, 2, 4, -3, 0],\n [-2, 6, -4, 3, -2, 2, -4, -1, -1, 3],\n [0, -6, 1, -2, -3, 4, -1, -12, 4, -4],\n [-9, 9, 14, 5, -7, -3, -1, 4, 7, -2],\n [-8, 5, 0, -2, -3, 0, 3, -4, -2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54333576408", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[12, -2, -2, -2, -8, -2, 10, 0, 5, 5],\n [-2, -12, -11, 6, 1, 3, -6, -3, -4, -5],\n [-2, -11, -8, 7, 8, 0, 0, 6, 1, 3],\n [-2, 6, 7, -14, -6, -8, 8, 2, -4, 6],\n [-8, 1, 8, -6, -10, 5, 8, 4, -2, -2],\n [-2, 3, 0, -8, 5, 2, 6, 7, -7, -6],\n [10, -6, 0, 8, 8, 6, 13, -2, 2, -4],\n [0, -3, 6, 2, 4, 7, -2, -6, -2, 0],\n [5, -4, 1, -4, -2, -7, 2, -2, 0, -4],\n [5, -5, 3, 6, -2, -6, -4, 0, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "570596709787", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-12, 8, 6, -14, 12, 9, -2, 10, 7, -13],\n [-6, 3, 7, 11, -11, 1, -9, 5, 12, 14],\n [-12, 13, -4, 9, 14, -10, -14, -7, 4, -11],\n [-6, -12, -10, 13, 1, -7, -9, -12, 1, -7],\n [-2, -10, -9, 12, -12, -7, -11, 10, 6, 2],\n [10, -7, 6, 4, 14, -1, -6, -3, -2, 8],\n [13, 12, -7, -12, 7, 13, 0, 5, 14, 4],\n [-11, -13, -10, 9, 6, -13, -8, 9, -4, -3],\n [-11, -12, -7, 11, 3, 8, 11, 9, -10, 1],\n [8, -3, -6, 14, -7, -10, 5, 4, 0, 7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25570969793823", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 10) of the matrix A^6 where A is:\n[[5, 1, 6, -8, -2, 2, -4, 5, -4, 14],\n [1, 14, -2, -2, 4, 2, 10, 4, 2, -11],\n [6, -2, -13, 6, 6, -10, -12, 10, 2, -6],\n [-8, -2, 6, 5, 8, -4, 12, 0, -8, -4],\n [-2, 4, 6, 8, -13, -1, -1, 2, 8, -2],\n [2, 2, -10, -4, -1, 5, 0, -2, 6, -4],\n [-4, 10, -12, 12, -1, 0, 0, -9, 3, 4],\n [5, 4, 10, 0, 2, -2, -9, -3, -4, 3],\n [-4, 2, 2, -8, 8, 6, 3, -4, 9, -4],\n [14, -11, -6, -4, -2, -4, 4, 3, -4, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-262925416", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 7) of the matrix A^8 where A is:\n[[8, 7, -1, 2, 4, -4, -11, -5, 12, 8],\n [4, -11, -4, -8, 5, -6, 13, 7, -13, 12],\n [-14, -7, 12, 4, 8, 1, -1, -11, 4, 10],\n [7, 7, -9, 0, -2, 4, 7, -11, -13, -12],\n [-1, -11, 1, -4, 14, -2, -14, -2, 0, -8],\n [13, -10, 13, 12, 10, -9, 9, -6, -9, 14],\n [8, -9, 7, -13, 6, -9, -5, -10, 5, -3],\n [-9, -9, -7, 9, 11, 2, 3, -4, -14, 11],\n [-8, -7, -12, 4, 1, 8, -7, 14, -9, 9],\n [-13, 8, -3, 6, -9, -1, -8, -6, -8, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12262629439", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-3, 8, -2, -4, -2, -4, 12, 6, -2, -8],\n [8, -2, 1, -2, -6, -3, 2, -4, 2, 2],\n [-2, 1, -10, -6, -9, 12, 2, 8, 2, -10],\n [-4, -2, -6, -1, 5, -2, 6, 8, 0, -12],\n [-2, -6, -9, 5, 4, -4, -1, -8, 1, 0],\n [-4, -3, 12, -2, -4, 2, -12, 0, -1, -8],\n [12, 2, 2, 6, -1, -12, 4, 7, -8, 4],\n [6, -4, 8, 8, -8, 0, 7, -8, -6, 6],\n [-2, 2, 2, 0, 1, -1, -8, -6, -4, 0],\n [-8, 2, -10, -12, 0, -8, 4, 6, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "675934851", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-5, -1, -6, -6, 4, 6, -11, 0, -6, 9],\n [-1, 12, 4, -11, 13, 4, -12, -1, 4, 6],\n [-6, 4, 13, 3, -6, 4, 11, -2, -7, -7],\n [-6, -11, 3, -2, -8, 0, -12, 12, 0, -2],\n [4, 13, -6, -8, -3, 8, -7, -2, 9, 6],\n [6, 4, 4, 0, 8, 5, 10, -8, -6, 2],\n [-11, -12, 11, -12, -7, 10, -14, -6, -3, -12],\n [0, -1, -2, 12, -2, -8, -6, 9, -2, 2],\n [-6, 4, -7, 0, 9, -6, -3, -2, -6, 0],\n [9, 6, -7, -2, 6, 2, -12, 2, 0, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13979544388416", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-11, 8, 1, -2, 5, 4, 4, 0, 12, 0],\n [8, -6, 5, 3, 0, 3, 0, -8, 4, 2],\n [1, 5, 4, 2, -10, 2, -4, 2, 2, 12],\n [-2, 3, 2, 12, 0, -1, -13, 2, 6, 4],\n [5, 0, -10, 0, 7, 4, -1, -8, 10, 2],\n [4, 3, 2, -1, 4, 7, 4, 6, -10, -4],\n [4, 0, -4, -13, -1, 4, -2, -6, -8, 5],\n [0, -8, 2, 2, -8, 6, -6, -14, 6, 14],\n [12, 4, 2, 6, 10, -10, -8, 6, 5, -10],\n [0, 2, 12, 4, 2, -4, 5, 14, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1551576831982", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -8, -4, -10, 5, -1, -10, -7, 8, -2],\n [-8, -12, 8, -10, -4, 4, 2, 1, 10, -6],\n [-4, 8, -6, -2, -8, -14, -8, 8, 2, -6],\n [-10, -10, -2, 0, 3, 8, -12, -2, 2, 2],\n [5, -4, -8, 3, 5, -4, -2, -1, -2, -6],\n [-1, 4, -14, 8, -4, 14, 2, -2, 6, -5],\n [-10, 2, -8, -12, -2, 2, -8, 0, -11, -2],\n [-7, 1, 8, -2, -1, -2, 0, -6, 5, 3],\n [8, 10, 2, 2, -2, 6, -11, 5, -3, 0],\n [-2, -6, -6, 2, -6, -5, -2, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10508997939", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[8, -8, -6, -4, 12, 8, 13, -7, -11, -5],\n [5, -5, -7, -1, -11, 14, 5, 11, -12, 13],\n [-12, 12, -11, -3, 14, 3, 13, 4, -4, 13],\n [3, -1, -4, -1, 7, 14, -12, -13, -6, -7],\n [-10, 14, -6, -10, 6, -2, -4, -4, 5, -3],\n [4, -2, 11, -6, -11, -8, -10, -8, 13, -7],\n [-1, 9, -5, -9, -10, 0, 1, 12, -13, 13],\n [0, -7, 6, 9, 7, 9, -2, 2, 0, 10],\n [-1, 10, 4, -2, 6, 13, -8, -7, -8, 4],\n [0, -8, 2, 6, 10, 3, 4, 10, -12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113338021243", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (6, 8) of the result:\nA =\n[[7, -8, 6, -5, 13, -8, 11, -4, 11, 14],\n [-12, 12, 6, 7, -6, -11, -7, 9, 11, 7],\n [-3, -7, 0, 13, -1, -10, 2, 5, -4, 7],\n [0, 10, -2, -11, 7, -2, 11, -2, -4, -10],\n [10, 11, -1, 7, -12, 3, -12, -9, 11, -7],\n [9, 13, 6, 2, -14, 13, -8, 3, 14, -11],\n [-5, -10, -7, 11, 10, -2, 2, 10, 6, -11],\n [-5, 6, 10, -7, -5, -2, -3, 6, -2, 12],\n [-5, 6, -14, -6, -12, 2, 6, -5, 4, -9],\n [-8, -4, 1, -11, -11, 3, 3, -8, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13569630909", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[6, 0, 5, -3, 0, 10, 6, -9, 0, -4],\n [0, 4, 6, -4, -6, -8, 10, 6, 2, -2],\n [5, 6, 10, 10, 1, -4, -1, 2, -1, -8],\n [-3, -4, 10, -5, -9, 2, -10, -6, -12, 1],\n [0, -6, 1, -9, 7, -6, -2, -12, 4, -2],\n [10, -8, -4, 2, -6, 13, -3, 2, 10, 4],\n [6, 10, -1, -10, -2, -3, -3, 4, 8, 4],\n [-9, 6, 2, -6, -12, 2, 4, 9, -2, 6],\n [0, 2, -1, -12, 4, 10, 8, -2, 2, -1],\n [-4, -2, -8, 1, -2, 4, 4, 6, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1135048299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-4, -3, -2, 0, -12, -4, 8, 0, 10, 2],\n [-3, 2, 8, -4, -1, 8, 5, 2, 0, 4],\n [-2, 8, 4, 10, -2, 10, 2, -9, -3, 6],\n [0, -4, 10, -12, -7, -10, -2, -14, 7, 11],\n [-12, -1, -2, -7, 5, -3, 2, 2, 8, 0],\n [-4, 8, 10, -10, -3, -9, 2, 5, -7, 9],\n [8, 5, 2, -2, 2, 2, 7, 2, -3, -10],\n [0, 2, -9, -14, 2, 5, 2, -3, 5, -4],\n [10, 0, -3, 7, 8, -7, -3, 5, 13, 6],\n [2, 4, 6, 11, 0, 9, -10, -4, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45771598180", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-11, 5, -4, -7, 7, 11, -6, 11, 10, 5],\n [-5, -8, 4, 7, 14, -14, -10, -9, -3, 13],\n [-3, 6, -1, -8, 13, 5, 6, 5, -1, 1],\n [-6, -13, 2, -11, -1, -1, 13, 0, 13, -3],\n [-2, 7, -5, 1, 14, 14, 0, -7, -11, -14],\n [-1, -6, 4, -9, 1, 11, 9, -4, 6, 12],\n [8, -4, -1, -4, 11, -1, 10, -14, -4, 9],\n [3, 2, -11, 7, -1, -7, 0, 1, -14, -14],\n [-5, -13, 10, -3, -11, 8, 4, 12, -14, -14],\n [-6, 5, -2, -4, 4, 6, 2, -12, 5, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151998128392", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[13, 7, 10, 4, 5, 6, 9, -6, 4, 4],\n [8, 10, -14, 2, -1, -3, -13, 7, -12, 13],\n [9, -10, -12, -1, 9, 9, 3, -10, -12, 8],\n [-13, -6, 3, 12, -13, 7, 4, -12, 11, 3],\n [-1, -2, 1, 6, 13, -4, 6, 8, 9, 9],\n [-3, -12, -9, 1, -3, 6, 5, 11, -9, 5],\n [-1, 9, -6, 2, -3, -14, 5, 7, -7, 13],\n [-3, 1, -14, -12, -3, -11, -5, -13, 14, -6],\n [-12, 5, 5, -14, -10, -10, -13, 0, -14, 6],\n [-10, -8, -4, 11, -5, -13, 14, 13, -1, 9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254255606400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[6, -7, 5, -2, -8, -8, 4, 8, -4, -2],\n [-7, -10, 4, 2, 2, 4, 0, 7, 0, 5],\n [5, 4, 2, -10, 2, 1, -14, 3, -2, -10],\n [-2, 2, -10, -6, 3, 2, -2, 0, 12, -4],\n [-8, 2, 2, 3, 0, 0, -2, 0, 0, 10],\n [-8, 4, 1, 2, 0, -5, -5, -4, 1, -8],\n [4, 0, -14, -2, -2, -5, -12, 4, -4, 1],\n [8, 7, 3, 0, 0, -4, 4, 9, 6, -8],\n [-4, 0, -2, 12, 0, 1, -4, 6, -1, -6],\n [-2, 5, -10, -4, 10, -8, 1, -8, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5020264613154", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[14, -10, 1, 0, 0, 0, 3, -1, 10, -12],\n [-10, 7, 8, -4, -8, 0, -2, -2, 0, -7],\n [1, 8, -7, -2, 6, -2, 10, -3, -5, -4],\n [0, -4, -2, 12, 4, 7, -6, 4, -4, -6],\n [0, -8, 6, 4, -2, -11, -12, -4, 9, 1],\n [0, 0, -2, 7, -11, 14, -5, 7, 12, -8],\n [3, -2, 10, -6, -12, -5, 8, 5, -6, -4],\n [-1, -2, -3, 4, -4, 7, 5, 9, 8, 8],\n [10, 0, -5, -4, 9, 12, -6, 8, -1, -10],\n [-12, -7, -4, -6, 1, -8, -4, 8, -10, 12]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84386544433", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 2, 11, 7, 6, -10, -13, -14, 1, -8],\n [6, -12, -1, 7, 4, 1, 7, -9, 10, 9],\n [-14, -8, -4, 10, 3, -6, 7, -12, 9, 8],\n [13, -7, -7, 8, -14, 14, -5, 0, -5, 11],\n [-7, 6, 14, -13, 3, -13, 10, 6, 4, 7],\n [-6, 12, 10, 10, 12, -5, 12, -11, 6, 13],\n [-14, -4, 11, 7, -13, 8, -11, 0, 5, 10],\n [-2, -14, 7, -13, -9, -8, 4, -11, 3, 8],\n [-6, 6, -4, -10, 10, 9, -14, -13, 8, -12],\n [7, 2, 9, -13, -14, -13, -7, -2, 11, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10332986099", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, 3, 0, 10, 9, 2, 8, -2, 6, -8],\n [3, -12, 6, 4, -7, 5, -8, 12, -8, 9],\n [0, 6, 11, 4, -4, 2, 7, 10, 10, 0],\n [10, 4, 4, -5, -4, 10, 9, 2, -6, -10],\n [9, -7, -4, -4, -14, -2, 3, -6, -4, 1],\n [2, 5, 2, 10, -2, 8, -8, 5, -2, 6],\n [8, -8, 7, 9, 3, -8, -13, -6, 2, 2],\n [-2, 12, 10, 2, -6, 5, -6, 5, 2, 0],\n [6, -8, 10, -6, -4, -2, 2, 2, 12, -2],\n [-8, 9, 0, -10, 1, 6, 2, 0, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86060490436", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, -4, -10, -7, 6, -10, -8, -2, 4, 2],\n [-4, 3, 2, 1, 1, 0, -2, -2, -12, -2],\n [-10, 2, -7, 3, -4, 2, 0, -2, 5, 2],\n [-7, 1, 3, -5, -6, 2, -8, -6, 0, 0],\n [6, 1, -4, -6, -6, -6, 6, -2, 8, -10],\n [-10, 0, 2, 2, -6, -5, -8, -4, 8, -6],\n [-8, -2, 0, -8, 6, -8, 13, 0, -8, 0],\n [-2, -2, -2, -6, -2, -4, 0, -5, -6, -4],\n [4, -12, 5, 0, 8, 8, -8, -6, 7, -4],\n [2, -2, 2, 0, -10, -6, 0, -4, -4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4186543706", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[13, -7, 13, -1, 11, 1, 10, 4, 1, 10],\n [-5, 0, 12, 11, -11, 13, -11, 14, -2, -3],\n [0, 14, 8, -2, -9, 11, -1, -12, -7, -3],\n [-1, -10, -13, -5, -12, 8, -5, -6, 2, 13],\n [-9, 12, -6, 8, -12, -8, -3, 3, -5, -13],\n [2, -12, -14, -7, -2, -4, -7, 5, -14, -13],\n [3, 3, -6, -8, -6, -5, 11, -13, -10, 2],\n [-13, 5, -5, -14, -3, 9, 0, -9, -1, -1],\n [0, -14, 10, 2, -4, 0, 5, 1, 6, 14],\n [12, -6, 14, -3, -13, 0, 13, -6, 13, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127078773158", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[2, -4, 0, 9, -2, 0, -5, -1, -6, -8],\n [-4, 9, 1, 6, 2, 1, -7, -2, -1, 2],\n [0, 1, 7, 4, 7, 0, 0, 6, 0, 0],\n [9, 6, 4, 1, -10, 0, 2, 6, -2, 10],\n [-2, 2, 7, -10, -3, -3, 0, -10, -2, -4],\n [0, 1, 0, 0, -3, -4, 1, -1, -6, -4],\n [-5, -7, 0, 2, 0, 1, 7, 4, 0, 0],\n [-1, -2, 6, 6, -10, -1, 4, 12, 4, -4],\n [-6, -1, 0, -2, -2, -6, 0, 4, 7, 4],\n [-8, 2, 0, 10, -4, -4, 0, -4, 4, 6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348417524128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[8, -14, 11, -3, -13, 3, 0, -8, -6, 8],\n [13, 7, -12, 6, -5, -13, 10, 7, 10, 10],\n [-3, -8, -10, -11, -14, 0, -6, -9, -1, -13],\n [-3, 8, 13, -9, -2, -11, 7, 1, 14, -4],\n [-9, -10, -14, 4, -8, 3, -5, -5, 2, 9],\n [-8, 7, 11, 6, 7, -14, -3, 10, 2, 1],\n [5, 0, 14, 4, 5, 2, 11, -11, -11, -12],\n [-7, 8, -6, -13, 11, 4, 7, 3, 1, 14],\n [13, 13, 3, 11, 3, -3, -13, 14, 6, 13],\n [-14, 8, 1, 2, -14, 6, 8, -12, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11622809543593", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[12, 5, 1, 6, -1, 1, 9, -6, 6, 13],\n [6, -13, 10, -2, 7, -10, 6, 5, 2, -9],\n [2, 11, -13, -8, 14, 2, 9, -7, 8, 8],\n [-14, 14, 4, 10, -10, -10, 8, 12, 11, 9],\n [7, 6, -14, 11, -5, -5, 14, 10, 7, -12],\n [13, -3, 11, -3, -8, 1, 5, 14, -12, 13],\n [-8, 7, -1, 12, -11, -5, 9, -13, 7, 1],\n [-12, 0, -7, 1, -4, 9, -4, -4, -14, -13],\n [5, -14, 4, 5, -5, 4, 6, -4, -3, -5],\n [-8, 9, -7, -4, 3, 1, -14, 14, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7901482490", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 9) of the matrix A^7 where A is:\n[[7, -2, 8, 10, -5, -5, -14, -8, 5, -6],\n [-4, 5, -13, -14, 8, -3, -8, 4, -10, 11],\n [-3, -1, 13, -8, -7, -1, -3, -6, -5, -5],\n [-14, 10, 7, -9, -1, 8, -6, 8, 8, 12],\n [-3, 4, 11, 10, 5, 7, 14, 8, 13, 14],\n [-3, 10, -2, 14, 11, 13, -12, -4, -13, 3],\n [3, 10, 9, 10, -6, -14, 11, 11, 1, 10],\n [-14, 6, 5, 9, -10, 13, 10, 2, -7, -9],\n [-14, -2, 3, -11, 0, -1, 1, -10, -14, 11],\n [8, 14, -11, 2, 13, -9, 10, 10, 12, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-347301181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-8, 3, -8, 4, -7, -6, 6, -9, -2, -2],\n [3, -4, -6, 0, -2, 2, 6, -6, 5, -2],\n [-8, -6, 1, 2, -12, 10, 2, 4, -1, -10],\n [4, 0, 2, -9, 5, -12, -2, 2, 6, 12],\n [-7, -2, -12, 5, -4, -8, 0, 0, 2, 1],\n [-6, 2, 10, -12, -8, -10, 0, -6, -4, 1],\n [6, 6, 2, -2, 0, 0, -14, 0, 2, 3],\n [-9, -6, 4, 2, 0, -6, 0, 11, 10, -2],\n [-2, 5, -1, 6, 2, -4, 2, 10, 5, -8],\n [-2, -2, -10, 12, 1, 1, 3, -2, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32022087249", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 8) of the 7th power of the matrix:\n[[-3, 0, -10, -13, 5, 3, -12, -10, -13, -6],\n [9, -10, 12, 2, 6, 5, 0, -2, -6, -13],\n [8, -13, 14, 14, -4, 13, -12, -12, -5, 9],\n [-13, -14, -9, -9, -4, 1, -14, -10, 10, 11],\n [12, -5, 6, 13, 8, -9, -4, 11, 1, 5],\n [-2, -3, 3, 11, -2, -10, 13, 13, 11, -2],\n [10, -2, 4, 4, -2, 13, -4, 1, 8, -1],\n [-5, -13, -7, 8, -7, 11, 7, 6, 12, 5],\n [-1, 9, -1, 3, 0, 7, 13, 1, -1, -5],\n [7, 6, -13, -10, -12, 8, -8, 9, 12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1710012145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-5, -4, 10, 2, -11, -9, -8, 12, -10, -9],\n [2, -1, -4, -10, -13, -1, 12, 1, -13, 2],\n [11, 1, -6, 5, 5, -6, -10, -11, -8, 14],\n [14, -10, 9, -12, -7, 1, 12, -9, 14, -6],\n [7, 5, 3, -4, 4, -8, -5, -10, -8, 8],\n [-9, 3, 6, 0, 12, -5, -9, 9, -14, 13],\n [13, 13, -5, 8, 0, -1, 1, -10, -1, 1],\n [-1, -8, 4, -11, 3, 13, 7, 6, 0, 2],\n [-14, 9, 0, 1, 9, 7, -4, -6, 2, 11],\n [0, -7, 3, -7, -12, 7, 8, 4, -1, -13]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17866700304", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (10, 8) of the 7th power of the matrix:\n[[-14, -10, 2, -14, 6, 1, -12, -5, 4, -4],\n [8, -12, -13, -12, 0, 12, 5, -6, 0, 13],\n [-13, -9, -10, -9, -10, 7, -3, -11, 9, 13],\n [10, 11, 8, -1, -1, -4, 13, -14, 6, 8],\n [-10, -10, -3, -10, 6, -2, -4, 6, -14, -3],\n [-9, 12, -4, -3, 14, -9, 9, -10, 3, 1],\n [-2, -8, -1, -14, 6, 13, 6, -3, -12, 3],\n [-4, 5, -8, -5, 4, -2, -1, 0, -9, -8],\n [-2, 1, 0, 3, -12, 1, 10, -14, 9, -14],\n [4, -9, -4, 9, -8, -12, 13, -9, -14, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1471339330", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[10, 10, -1, -11, -11, 8, 8, 1, -4, 7],\n [-8, -14, -6, 14, -9, 9, -2, 6, -3, 8],\n [4, 11, 2, 8, 6, -14, -6, 10, 7, 12],\n [10, 8, -7, 12, -13, 3, -11, -14, 9, 6],\n [-3, 1, 8, 13, 3, -10, 1, -6, -6, -13],\n [-1, -4, -13, 1, 6, 4, -2, 2, 12, 14],\n [-14, 6, 4, 1, 10, -2, 13, 4, -12, -12],\n [-14, -12, 1, 6, -7, 8, 1, 13, -2, -2],\n [-4, -11, -11, 0, 13, -11, -7, 9, -13, 0],\n [8, 13, 12, -1, 13, 6, -13, 14, -12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "754978510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -4, -3, 8, 8, -3, -2, -2, -2, -8],\n [-4, -9, 6, 0, 4, 10, -12, 8, -2, -4],\n [-3, 6, -5, 2, 4, -2, -2, -2, 2, -2],\n [8, 0, 2, -14, -3, -12, -3, 1, 2, -1],\n [8, 4, 4, -3, 12, -4, -11, 4, -2, 0],\n [-3, 10, -2, -12, -4, -11, 0, 7, -3, 10],\n [-2, -12, -2, -3, -11, 0, -1, 6, 5, 2],\n [-2, 8, -2, 1, 4, 7, 6, 11, -6, 4],\n [-2, -2, 2, 2, -2, -3, 5, -6, 6, -4],\n [-8, -4, -2, -1, 0, 10, 2, 4, -4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8423018324", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[12, -6, 0, -2, -1, -10, 0, 0, 0, -13],\n [-6, 0, -1, -10, 2, 10, 2, 0, 6, -2],\n [0, -1, -8, -6, 0, 6, -8, -4, -4, 0],\n [-2, -10, -6, -2, 7, -7, -2, -2, -10, 2],\n [-1, 2, 0, 7, 12, 0, -12, 2, 4, 2],\n [-10, 10, 6, -7, 0, 0, -2, 7, 7, -12],\n [0, 2, -8, -2, -12, -2, -3, 2, -1, 6],\n [0, 0, -4, -2, 2, 7, 2, 12, -2, 12],\n [0, 6, -4, -10, 4, 7, -1, -2, -5, 8],\n [-13, -2, 0, 2, 2, -12, 6, 12, 8, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281154032914", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 7) of the 6th power of the matrix:\n[[-13, -10, -8, 10, 6, 4, 4, 4, 8, -2],\n [-10, -4, 0, 12, 7, 0, -2, -7, -4, -2],\n [-8, 0, -3, 0, 6, 0, 0, 0, 2, -10],\n [10, 12, 0, 7, -8, -12, 7, -2, -2, 9],\n [6, 7, 6, -8, 5, -5, 0, -1, 2, 0],\n [4, 0, 0, -12, -5, -4, -12, 8, 4, 4],\n [4, -2, 0, 7, 0, -12, 14, 0, 7, -5],\n [4, -7, 0, -2, -1, 8, 0, -7, 0, -6],\n [8, -4, 2, -2, 2, 4, 7, 0, 9, 2],\n [-2, -2, -10, 9, 0, 4, -5, -6, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63601232", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-8, 2, 0, -5, -1, 10, 14, 4, -3, -8],\n [2, -3, 5, 10, -8, 0, -4, 10, 11, 4],\n [0, 5, 3, 4, -1, -2, -2, 2, 6, 8],\n [-5, 10, 4, 8, 10, 6, 6, -6, -4, -4],\n [-1, -8, -1, 10, -12, -6, -8, -5, 5, -2],\n [10, 0, -2, 6, -6, 13, -2, 4, -4, -4],\n [14, -4, -2, 6, -8, -2, -9, 2, -12, -1],\n [4, 10, 2, -6, -5, 4, 2, -6, 8, -6],\n [-3, 11, 6, -4, 5, -4, -12, 8, -10, 2],\n [-8, 4, 8, -4, -2, -4, -1, -6, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "631710781194", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-4, -2, -10, 8, -2, 2, 6, 10, -5, 0],\n [-2, 9, -2, -1, -2, -2, -5, -12, 4, 2],\n [-10, -2, 8, -8, -2, 0, 8, -7, 4, -6],\n [8, -1, -8, -1, 10, -7, 2, -6, -6, 0],\n [-2, -2, -2, 10, -13, 0, -12, -2, 8, -2],\n [2, -2, 0, -7, 0, 1, -9, -2, 2, -6],\n [6, -5, 8, 2, -12, -9, 2, -4, 9, 3],\n [10, -12, -7, -6, -2, -2, -4, -6, 11, -7],\n [-5, 4, 4, -6, 8, 2, 9, 11, -5, -2],\n [0, 2, -6, 0, -2, -6, 3, -7, -2, -12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16853965116", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, 2, 2, -4, 8, 0, 6, -2, 9, 0],\n [2, -7, -2, 10, 4, -3, -5, -4, 4, -3],\n [2, -2, -1, 1, 6, -10, -2, 4, -12, 1],\n [-4, 10, 1, 2, -2, 4, 0, 4, 6, -4],\n [8, 4, 6, -2, -14, -3, -1, -7, -5, 10],\n [0, -3, -10, 4, -3, -5, 0, 2, 2, 2],\n [6, -5, -2, 0, -1, 0, 3, -10, -2, 9],\n [-2, -4, 4, 4, -7, 2, -10, -13, -5, -1],\n [9, 4, -12, 6, -5, 2, -2, -5, 6, -9],\n [0, -3, 1, -4, 10, 2, 9, -1, -9, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26772845827", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^6 where A is:\n[[1, 7, -8, 13, -7, -11, -11, 12, -9, -13],\n [-6, 13, -7, 3, 13, -3, 1, -14, 11, 5],\n [12, -11, -1, 3, -10, 13, -12, 4, -3, 11],\n [13, 4, 5, -4, 6, 5, -6, 5, 12, 8],\n [11, 12, -10, -5, -6, 10, -2, 14, 14, -7],\n [7, -2, 13, 12, 7, 13, 3, 8, -6, -6],\n [-13, 10, -8, -10, 6, -9, -2, 9, 3, -12],\n [-5, 8, -12, -14, -9, 8, 1, 10, 2, 12],\n [1, 10, -5, -8, -7, -12, -10, 4, -8, 3],\n [7, 11, 3, 10, -9, -10, -9, 14, 13, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112619565", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[7, 6, 0, 0, 10, -6, 7, 6, -4, 10],\n [6, -5, -2, -10, -2, 7, 2, 1, 4, 5],\n [0, -2, 10, -2, 9, 8, 0, -6, 1, 0],\n [0, -10, -2, -14, -4, 0, 5, 6, 8, 4],\n [10, -2, 9, -4, 7, -6, -4, -8, -6, 0],\n [-6, 7, 8, 0, -6, 13, -2, -2, 1, -2],\n [7, 2, 0, 5, -4, -2, 14, -5, -2, -6],\n [6, 1, -6, 6, -8, -2, -5, 4, -9, -8],\n [-4, 4, 1, 8, -6, 1, -2, -9, 14, 0],\n [10, 5, 0, 4, 0, -2, -6, -8, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294801433617", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[6, -2, -6, -8, -2, 10, -10, -2, 8, -12],\n [-2, 0, -2, 0, -4, -8, 13, -2, -9, 6],\n [-6, -2, 11, -2, 12, -4, -2, 4, -8, -4],\n [-8, 0, -2, 2, -10, -2, -9, 0, -12, -7],\n [-2, -4, 12, -10, 4, 1, 2, -7, -8, 4],\n [10, -8, -4, -2, 1, 11, -8, 8, -5, -2],\n [-10, 13, -2, -9, 2, -8, -4, -9, -6, 4],\n [-2, -2, 4, 0, -7, 8, -9, 5, 0, 4],\n [8, -9, -8, -12, -8, -5, -6, 0, -11, -7],\n [-12, 6, -4, -7, 4, -2, 4, 4, -7, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45325021244724", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[10, 5, 10, 13, -13, 6, 1, -9, 4, 3],\n [2, -4, 8, -11, 9, -7, 9, 3, -2, 6],\n [-7, -5, 3, 3, 2, 1, -9, -1, -10, 0],\n [-2, 1, 1, 2, 12, 9, 9, -10, -4, 0],\n [-12, -7, -12, 14, -11, 12, -1, 8, 8, 5],\n [10, -9, 9, 8, -11, -3, -13, 12, 14, 3],\n [-1, -7, -7, -3, -14, 14, -14, -11, 2, -5],\n [-14, 11, -4, 6, 2, -5, 13, -9, -11, 11],\n [-2, 12, -4, -10, -1, 10, -13, -12, 14, -12],\n [-4, -6, 4, -5, 6, -9, 7, -9, -14, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140379578415", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-14, 2, 10, 9, 4, 6, -9, -1, -10, -4],\n [2, 6, -4, -5, 2, -8, -3, 2, 0, -6],\n [10, -4, 14, 4, 4, 6, 0, -2, -3, -8],\n [9, -5, 4, 14, 10, -4, 7, -8, 8, 0],\n [4, 2, 4, 10, 0, 0, -6, 12, -4, 5],\n [6, -8, 6, -4, 0, 5, 6, 0, -1, 6],\n [-9, -3, 0, 7, -6, 6, 0, -6, 5, -2],\n [-1, 2, -2, -8, 12, 0, -6, -5, 6, 1],\n [-10, 0, -3, 8, -4, -1, 5, 6, -4, 2],\n [-4, -6, -8, 0, 5, 6, -2, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1574913217502", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[11, 6, 4, 10, -4, 14, -6, -2, 7, 4],\n [-10, -4, 9, 10, -12, -10, -2, -1, -2, -13],\n [-13, 3, 13, -9, 4, -5, 6, -7, -10, -13],\n [-9, 3, 14, -7, -13, 8, 5, -11, 0, 9],\n [5, 9, -6, 9, 5, 6, -9, -6, -2, -10],\n [-1, -1, 3, -8, -9, 12, -3, -1, 4, 1],\n [9, 4, -5, -4, -11, 10, 14, 5, -13, -6],\n [-5, -7, -11, -2, 12, -9, -9, 12, -13, -6],\n [-9, -10, -13, 14, -1, -5, 0, 2, -8, 5],\n [-4, -2, 8, 6, 2, -10, -3, -11, -14, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31448693382", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-13, -2, -2, 10, -3, -14, -5, 5, 9, -10],\n [-5, -8, 0, 12, 3, 5, -11, -14, 13, -7],\n [-4, -12, 13, 14, -3, -2, 5, 3, -3, -5],\n [6, 13, 6, 0, -12, 9, 0, 2, 14, 1],\n [-13, -14, 7, -11, 11, 2, -8, 10, -10, 8],\n [-11, 5, 5, 14, -10, -7, 5, 8, -6, -9],\n [-11, -10, -7, 5, -2, -11, -8, 7, -14, -6],\n [14, -10, -5, -4, 3, -10, 9, 7, 9, 6],\n [-11, 11, 4, 1, -13, 0, -6, 2, 11, -13],\n [7, 14, -9, 13, -14, -7, -4, 5, 8, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8966559255", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 4) of the 6th power of the matrix:\n[[0, 4, -6, 0, 5, -10, -9, 0, -1, -6],\n [4, 1, 4, -5, 0, 4, 10, 0, 2, -4],\n [-6, 4, -12, 10, 2, 6, -2, 1, 0, 6],\n [0, -5, 10, 5, -12, 6, -8, -2, 2, 2],\n [5, 0, 2, -12, -7, -6, 0, -6, 12, 1],\n [-10, 4, 6, 6, -6, 8, 8, -6, -5, 5],\n [-9, 10, -2, -8, 0, 8, -9, 2, 5, 5],\n [0, 0, 1, -2, -6, -6, 2, 11, -7, 0],\n [-1, 2, 0, 2, 12, -5, 5, -7, -13, 4],\n [-6, -4, 6, 2, 1, 5, 5, 0, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65711958", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-5, 4, 0, 8, -12, 2, -3, 6, 4, 0],\n [4, 11, 6, -10, 8, 0, -6, -12, -2, -3],\n [0, 6, 0, -4, 5, 2, 6, 0, -1, 4],\n [8, -10, -4, 5, 13, 2, 0, 2, 0, -5],\n [-12, 8, 5, 13, 1, 4, 0, 0, 2, -1],\n [2, 0, 2, 2, 4, -13, 2, -6, -4, 6],\n [-3, -6, 6, 0, 0, 2, -11, -2, 2, -6],\n [6, -12, 0, 2, 0, -6, -2, -1, 0, 4],\n [4, -2, -1, 0, 2, -4, 2, 0, -6, 2],\n [0, -3, 4, -5, -1, 6, -6, 4, 2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2464739048", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-14, -8, -5, 0, -5, 7, -7, -3, -1, 7],\n [-8, -9, 5, 8, 0, -6, -6, -1, -11, -2],\n [-5, 5, -5, -6, 0, 1, -12, 8, -10, 0],\n [0, 8, -6, 7, 2, -8, -13, -10, -4, -3],\n [-5, 0, 0, 2, 9, -4, -3, -4, -12, 6],\n [7, -6, 1, -8, -4, 7, 0, 2, 2, -4],\n [-7, -6, -12, -13, -3, 0, 12, 2, -2, -9],\n [-3, -1, 8, -10, -4, 2, 2, 10, -6, -2],\n [-1, -11, -10, -4, -12, 2, -2, -6, 6, 4],\n [7, -2, 0, -3, 6, -4, -9, -2, 4, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19751703750803", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[12, 2, 0, 7, -8, 2, -4, -2, 6, 0],\n [2, 8, 4, 4, 0, 0, 3, 4, 7, 8],\n [0, 4, 6, 4, 4, 6, -3, 0, 8, 8],\n [7, 4, 4, 7, -2, 0, 8, -8, -2, -1],\n [-8, 0, 4, -2, 0, -2, 9, -1, 4, -2],\n [2, 0, 6, 0, -2, -5, -2, -4, -4, 1],\n [-4, 3, -3, 8, 9, -2, 8, 2, 8, -2],\n [-2, 4, 0, -8, -1, -4, 2, -11, -3, 0],\n [6, 7, 8, -2, 4, -4, 8, -3, 8, 0],\n [0, 8, 8, -1, -2, 1, -2, 0, 0, -7]], determine the value at position (10, 10).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24002874", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[10, 12, -4, 3, 11, -5, -14, -11, 14, 2],\n [2, -10, 8, -12, -8, -10, -5, 12, 9, -8],\n [2, 14, 2, -8, -9, -6, -7, 14, -1, 7],\n [-9, -6, 13, 5, 10, -4, -4, -7, -12, -4],\n [-11, 8, -12, -2, 4, -7, 6, 13, 6, 9],\n [7, 6, -14, 6, -7, -6, -9, -4, 14, 14],\n [-5, -12, -7, 14, -10, -13, 1, -14, 12, 9],\n [-13, 12, -12, -6, 2, 9, -3, -13, 9, -13],\n [8, 4, 5, 13, 12, 2, 13, 11, 2, -2],\n [-3, -4, 11, 13, -4, 9, -7, 3, -11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57852235995", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) of the matrix A^6 where A is:\n[[14, 0, 9, -8, 8, 11, 0, 4, 13, 12],\n [6, 2, -5, -4, -1, -11, -11, -14, -3, -8],\n [-10, -14, 6, 9, 11, -7, 14, 3, -2, 2],\n [-13, -9, 14, 6, -11, -7, 0, -10, 5, 14],\n [-4, -7, 13, 2, -6, 3, -1, 9, -6, -5],\n [9, 10, 5, 12, -13, -12, 14, 9, -10, 12],\n [-11, -12, 12, 4, -5, 11, -8, 12, -3, -7],\n [14, -10, 9, -2, -6, -11, -13, -10, -13, 11],\n [3, -9, 11, -4, -5, -14, -13, 6, -5, -10],\n [11, -3, 4, 6, 10, -13, 14, -9, 0, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28584407", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[1, -2, 7, 4, 6, 10, -10, 0, -2, 10],\n [-2, -8, 8, 3, 7, -2, 6, 4, 3, 3],\n [7, 8, -12, 4, -4, 0, 0, -4, 0, 12],\n [4, 3, 4, -7, 0, 1, 6, 9, 4, 0],\n [6, 7, -4, 0, 13, 2, -6, -7, -2, -10],\n [10, -2, 0, 1, 2, -8, 6, -10, -3, 3],\n [-10, 6, 0, 6, -6, 6, -13, 0, 8, 0],\n [0, 4, -4, 9, -7, -10, 0, -9, 2, -2],\n [-2, 3, 0, 4, -2, -3, 8, 2, 5, 10],\n [10, 3, 12, 0, -10, 3, 0, -2, 10, 14]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312975141182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[7, -4, 8, 2, -4, 4, 4, 4, -2, 4],\n [-4, 12, -2, -3, 0, 3, -4, 1, -9, -3],\n [8, -2, -4, 10, -2, 0, 10, -6, -12, -1],\n [2, -3, 10, -8, -7, 8, -12, -2, 4, 2],\n [-4, 0, -2, -7, -5, -3, -10, -8, 4, -2],\n [4, 3, 0, 8, -3, 11, -6, 0, -6, 12],\n [4, -4, 10, -12, -10, -6, 4, -6, -2, 3],\n [4, 1, -6, -2, -8, 0, -6, -4, 12, -6],\n [-2, -9, -12, 4, 4, -6, -2, 12, 6, 4],\n [4, -3, -1, 2, -2, 12, 3, -6, 4, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1813243709", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (10, 7) of the result:\nA =\n[[6, 1, -12, -8, -2, 2, 2, -7, 0, -4],\n [1, 7, 2, -2, -4, -8, 0, -9, -13, -2],\n [-12, 2, -11, 0, -10, -1, -2, 12, -2, 1],\n [-8, -2, 0, 6, 3, 4, 10, -10, 2, -5],\n [-2, -4, -10, 3, -4, 1, 3, -4, -4, -2],\n [2, -8, -1, 4, 1, -11, 6, -6, 4, 8],\n [2, 0, -2, 10, 3, 6, 9, 6, 4, 2],\n [-7, -9, 12, -10, -4, -6, 6, 7, -9, -1],\n [0, -13, -2, 2, -4, 4, 4, -9, 0, 4],\n [-4, -2, 1, -5, -2, 8, 2, -1, 4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10031996", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[14, 0, -6, -1, -2, -8, -4, -4, 7, 2],\n [0, -10, 3, 2, 0, -11, 12, -10, 1, -4],\n [-6, 3, -6, 2, -2, 7, -4, -7, 1, 8],\n [-1, 2, 2, -14, 3, -5, -2, 6, 2, 10],\n [-2, 0, -2, 3, 10, -1, 5, 7, 5, 14],\n [-8, -11, 7, -5, -1, -13, 7, 6, -1, 9],\n [-4, 12, -4, -2, 5, 7, -12, -2, -3, 9],\n [-4, -10, -7, 6, 7, 6, -2, 2, -12, 2],\n [7, 1, 1, 2, 5, -1, -3, -12, 7, -2],\n [2, -4, 8, 10, 14, 9, 9, 2, -2, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3303750433", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-8, -4, -2, 4, -9, -5, 2, -4, -8, 0],\n [-4, -3, -2, -8, -6, -4, 6, -4, 2, -3],\n [-2, -2, 11, 8, 9, 0, 4, 13, 13, -2],\n [4, -8, 8, -1, -4, -11, -13, -4, -6, -12],\n [-9, -6, 9, -4, 10, -4, 3, 6, -6, 4],\n [-5, -4, 0, -11, -4, 10, -8, 3, 6, -1],\n [2, 6, 4, -13, 3, -8, -5, 6, 4, -1],\n [-4, -4, 13, -4, 6, 3, 6, 2, -6, -8],\n [-8, 2, 13, -6, -6, 6, 4, -6, 7, 0],\n [0, -3, -2, -12, 4, -1, -1, -8, 0, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11377856609", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[7, -10, -7, -12, -8, 0, 10, 8, 7, 2],\n [-10, -11, 14, -7, 0, -5, 2, -2, 4, -10],\n [-7, 14, -6, -2, 0, 4, 8, 6, -8, -8],\n [-12, -7, -2, -3, -4, -6, 4, 6, -6, 8],\n [-8, 0, 0, -4, -7, 10, 4, 5, 6, 10],\n [0, -5, 4, -6, 10, 14, -2, 2, -1, -9],\n [10, 2, 8, 4, 4, -2, 3, -3, 11, 2],\n [8, -2, 6, 6, 5, 2, -3, 8, 4, 7],\n [7, 4, -8, -6, 6, -1, 11, 4, 2, 11],\n [2, -10, -8, 8, 10, -9, 2, 7, 11, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556627707014", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[5, 14, -10, 1, 6, -3, 2, 10, 0, 10],\n [6, 11, 4, 9, -8, 6, -3, 2, -8, -4],\n [-14, 2, 10, 7, -8, -13, -4, 1, 0, -7],\n [0, -8, -10, -7, -13, -9, -11, -8, -9, 13],\n [7, -10, 12, -10, 3, -4, 8, 8, -7, 5],\n [-4, 12, 12, 14, 10, 11, 4, 4, 14, -13],\n [-5, -8, -3, 11, -13, -8, 4, -14, -4, -7],\n [-7, -1, -2, -5, 2, 12, -9, 5, 6, -1],\n [9, -7, -8, -10, -9, -7, 6, -12, -6, 10],\n [-5, -14, -8, 5, -9, -2, -8, -7, 12, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225117335", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-10, -2, -6, 0, 2, 10, 3, 14, 1, -5],\n [-2, -8, 9, -2, 2, 2, -2, -12, 2, 0],\n [-6, 9, 6, -2, 8, 9, 4, -2, 4, 10],\n [0, -2, -2, -10, 6, -6, 2, 11, -6, 0],\n [2, 2, 8, 6, -10, 4, -6, 0, -5, 8],\n [10, 2, 9, -6, 4, 5, 1, -12, -2, -2],\n [3, -2, 4, 2, -6, 1, -13, -1, -10, 4],\n [14, -12, -2, 11, 0, -12, -1, -13, 10, -2],\n [1, 2, 4, -6, -5, -2, -10, 10, -10, 0],\n [-5, 0, 10, 0, 8, -2, 4, -2, 0, -13]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "843478169561", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[6, -13, 14, 9, 1, 5, -4, 5, -5, -7],\n [-8, -14, 8, -5, 4, -10, 9, 7, -7, 6],\n [11, -6, 14, -2, -1, 12, -9, -4, -6, -2],\n [-11, -13, 9, 6, -13, 7, -2, 4, -14, 13],\n [-9, 12, -7, 2, -12, -9, 11, 14, 4, -8],\n [0, -9, 10, 14, 7, 8, 3, -5, -11, -10],\n [3, 12, -5, -5, -5, -8, 5, -1, 10, -7],\n [11, -6, 9, -10, 10, 6, -7, 5, 14, -10],\n [12, 5, 3, -11, -4, 6, 7, 5, -4, -1],\n [11, -2, 13, -11, 1, -9, 8, -2, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13763352546", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-10, 9, -2, -9, -9, 4, -3, -2, -2, 7],\n [9, 14, -12, -10, -12, -4, 10, -10, -2, 4],\n [-2, -12, -2, 0, -11, 0, 8, -10, 10, -8],\n [-9, -10, 0, -13, 12, -8, -4, -1, -6, -2],\n [-9, -12, -11, 12, -12, 0, 6, 3, -12, -11],\n [4, -4, 0, -8, 0, -5, -12, -2, 6, 8],\n [-3, 10, 8, -4, 6, -12, -8, -14, -4, 4],\n [-2, -10, -10, -1, 3, -2, -14, 1, 8, 4],\n [-2, -2, 10, -6, -12, 6, -4, 8, -2, 4],\n [7, 4, -8, -2, -11, 8, 4, 4, 4, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59382373299538", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[8, 5, -11, 7, -14, 6, 1, -4, 4, -7],\n [-10, 8, 9, -7, 14, 3, 14, 0, 3, -2],\n [0, 11, 6, -2, -12, -3, -3, -5, -14, 9],\n [-9, 4, 9, -2, 12, -14, 4, 10, -9, -14],\n [10, 8, 2, 2, 6, -4, 5, -3, 9, -2],\n [3, 7, 9, -14, -12, 2, -8, 2, 1, -3],\n [10, -7, -4, -12, 13, 14, -3, -11, -6, 11],\n [7, 6, 14, 6, 2, 1, -3, 0, 0, -14],\n [-12, -13, 11, 2, -3, -10, -4, 4, 0, -8],\n [-7, -5, -9, 13, 6, 0, -5, 13, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423295845430", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (7, 3) of the result:\nA =\n[[13, 2, -10, 0, 8, 5, -6, -4, 4, 12],\n [2, -2, -9, -8, 8, 2, 10, -6, -2, 10],\n [-10, -9, -2, 6, -10, 7, 2, 4, -4, -1],\n [0, -8, 6, 6, -3, -6, 8, -7, -1, -5],\n [8, 8, -10, -3, 2, -14, 0, 1, -8, 8],\n [5, 2, 7, -6, -14, 7, 5, 0, 6, -4],\n [-6, 10, 2, 8, 0, 5, -13, 0, 1, -4],\n [-4, -6, 4, -7, 1, 0, 0, 7, -2, -2],\n [4, -2, -4, -1, -8, 6, 1, -2, -7, 4],\n [12, 10, -1, -5, 8, -4, -4, -2, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230502363727", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[8, -14, 8, -9, -10, 0, 1, 7, 12, -7],\n [14, 13, -9, -10, -9, 10, 13, -14, -1, 4],\n [4, 10, 0, 4, -9, 10, 11, -10, 11, 1],\n [12, -6, 10, 0, 7, -7, 10, 10, -7, 14],\n [-11, 9, -13, 1, -12, -6, 11, -11, -13, 4],\n [8, 10, 0, -8, -7, -12, 8, 0, -14, 1],\n [13, 7, -12, -13, 0, -11, 12, -1, -6, 7],\n [13, -6, -1, 0, 9, -10, 9, -13, 9, 2],\n [-4, -2, -3, -12, 8, 5, -2, 0, -4, 1],\n [-8, -14, 8, 4, 3, -6, 3, -12, -12, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93665012", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 8, 8, 0, -6, 11, -7, 7, -9],\n [6, 3, -9, -9, -3, -10, -1, -9, 6, 12],\n [13, 5, 4, -1, -14, 12, 5, 14, 10, 8],\n [-8, -8, -1, 5, 1, -3, 8, -4, 3, -3],\n [9, -5, 9, 10, -10, 11, 9, -13, -5, 11],\n [9, 11, 1, 10, -9, -9, 5, 14, 9, 8],\n [-3, -6, 2, -5, -7, 9, -6, -8, 10, -5],\n [9, 10, 10, -14, 4, 7, 13, -4, 8, 5],\n [-5, -13, -1, -3, -11, 7, -2, 5, 13, -5],\n [-13, 10, 2, -5, 8, 1, -6, 4, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5711061827", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[10, 8, -9, -2, 5, -1, 2, 10, 0, -2],\n [8, -12, -2, 2, 0, -3, -6, 2, 8, 13],\n [-9, -2, 7, 7, 13, -5, 8, -8, 6, 0],\n [-2, 2, 7, -2, -7, 6, -10, 4, -1, 2],\n [5, 0, 13, -7, 5, -6, 1, -1, 8, 6],\n [-1, -3, -5, 6, -6, -11, -9, 11, -4, 6],\n [2, -6, 8, -10, 1, -9, -5, -4, -1, 0],\n [10, 2, -8, 4, -1, 11, -4, -1, 4, -2],\n [0, 8, 6, -1, 8, -4, -1, 4, -3, 0],\n [-2, 13, 0, 2, 6, 6, 0, -2, 0, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "724285929545", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (7, 2) of the result:\nA =\n[[-12, -8, 2, -1, -4, -4, -10, 4, -4, -1],\n [-8, 10, 0, 0, 4, 12, -2, 0, -13, -3],\n [2, 0, -10, -6, -12, -4, -5, 9, 14, 4],\n [-1, 0, -6, -7, -10, -7, 0, 10, 0, -11],\n [-4, 4, -12, -10, 0, 3, 4, 8, 7, 1],\n [-4, 12, -4, -7, 3, 5, -1, 1, 4, 12],\n [-10, -2, -5, 0, 4, -1, 2, 0, -6, -1],\n [4, 0, 9, 10, 8, 1, 0, 4, -6, -8],\n [-4, -13, 14, 0, 7, 4, -6, -6, -13, 0],\n [-1, -3, 4, -11, 1, 12, -1, -8, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3743336848", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-8, 9, 9, 11, -12, -13, -3, -11, -10, 1],\n [-13, 12, 9, 9, -2, 13, -11, 13, -10, 12],\n [-3, 0, -10, -10, 1, 10, -6, 0, 12, -11],\n [2, 9, 12, -14, 1, 8, 13, 14, 5, 2],\n [-11, 8, -2, -7, 3, -2, -6, -10, -4, 13],\n [-1, 9, 3, 3, 5, 1, -11, 4, -10, -13],\n [2, 13, -11, -9, 7, 3, -9, 5, 11, 0],\n [-14, 2, -13, -11, 9, -12, 12, 6, -12, 9],\n [-1, 5, 12, -7, 14, -7, -6, 3, 12, 11],\n [-8, -5, -14, 14, -11, 5, -11, 8, 14, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197528179866", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 6) of the matrix A^7 where A is:\n[[-10, -10, 4, 11, 6, -10, 9, -4, -13, 0],\n [-1, -1, -7, 5, 10, -7, -10, -10, 10, 14],\n [-1, -10, 14, -6, 7, 12, -4, 2, 12, -3],\n [-3, 9, 1, -14, 3, -9, -10, 3, -2, -9],\n [-8, -12, -4, -7, -11, -5, -6, 8, -2, 4],\n [0, -10, 10, -2, -3, -6, 9, -7, -6, 6],\n [-2, 12, 14, -6, -9, 14, -9, -4, -5, -1],\n [13, -9, -8, -6, -12, -3, 1, -2, -9, -2],\n [11, -10, -11, -7, -12, -13, 5, 4, -8, -3],\n [14, -11, -5, 13, -6, 14, -3, -4, 6, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-605126567", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 5) of the result:\nA =\n[[-13, -9, -9, -14, -8, -3, 6, 8, -3, 5],\n [6, 8, -9, -1, 2, 2, 3, -2, -2, 12],\n [-4, -12, 2, 11, -13, 13, -13, -8, 12, 14],\n [13, 7, 10, -5, -1, 6, 4, 2, 1, 2],\n [3, 14, 12, -4, 4, -4, -5, -1, -1, -5],\n [6, 8, -11, -5, 12, -9, 7, 14, -4, 3],\n [-9, 6, 0, 12, -9, 5, -14, -6, -1, -12],\n [-14, -1, -1, -11, -1, 8, -11, -4, 5, -6],\n [-4, 0, -9, 10, -3, 13, -2, 3, 8, 8],\n [-1, 9, 11, -4, 10, 9, -13, 4, 13, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-474575493", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, 0, 2, -7, -1, 8, 4, 0, 12, 2],\n [0, 5, -2, -10, 13, 8, -4, 8, -1, 0],\n [2, -2, 7, 2, 6, 6, -6, 2, -4, 2],\n [-7, -10, 2, -11, -2, 1, -2, 4, 0, -6],\n [-1, 13, 6, -2, 9, 6, 8, -1, 2, -1],\n [8, 8, 6, 1, 6, 11, -8, -6, -5, 3],\n [4, -4, -6, -2, 8, -8, -7, -8, 8, 1],\n [0, 8, 2, 4, -1, -6, -8, 2, 10, -2],\n [12, -1, -4, 0, 2, -5, 8, 10, 1, -4],\n [2, 0, 2, -6, -1, 3, 1, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2786809489", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[0, 1, -6, 6, 6, 5, 4, 9, 8, -6],\n [-9, -14, -10, -10, 8, 11, -14, -14, 14, 7],\n [-9, -6, 4, 13, -10, 6, 2, 7, 5, -3],\n [-9, 14, -2, 9, -7, 14, -12, 10, -4, 14],\n [5, -14, 10, -1, 14, 6, 14, 9, -2, 0],\n [8, 6, -7, 0, -2, -14, -4, 5, 0, 6],\n [-11, -9, 10, -3, -14, -5, 12, 3, -14, -8],\n [-13, 10, -7, 11, -14, 4, -9, -4, 4, 10],\n [13, -5, 1, 1, -5, 3, 7, 3, -12, -3],\n [-5, 13, 1, 10, -6, 3, -2, 9, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3443275398606", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -6, -6, 3, 0, 1, 1, -2, -2, 6],\n [-6, 7, -4, -11, 2, 2, -1, -2, -2, -6],\n [-6, -4, -1, 1, 0, -4, -8, 2, 4, 6],\n [3, -11, 1, -13, 0, 11, 4, 9, -4, -3],\n [0, 2, 0, 0, -12, -2, -4, -2, 12, 6],\n [1, 2, -4, 11, -2, -9, 2, 0, -7, -5],\n [1, -1, -8, 4, -4, 2, -4, -8, -4, 4],\n [-2, -2, 2, 9, -2, 0, -8, -7, 6, 10],\n [-2, -2, 4, -4, 12, -7, -4, 6, 5, 9],\n [6, -6, 6, -3, 6, -5, 4, 10, 9, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16478354878423", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[1, 12, 8, 9, -13, 5, -8, -4, -9, -13],\n [-1, -11, 4, 10, 7, 14, 13, -13, -13, -2],\n [-2, -12, 6, 13, -9, 6, 13, 2, 14, -14],\n [-8, 11, -8, -2, 11, 7, -6, 3, -14, -4],\n [7, 7, 10, -4, -5, 2, 12, 2, -3, 13],\n [-5, -3, -9, 6, 12, -9, -9, 14, 5, 11],\n [-7, -10, -9, -13, 2, -7, 7, 14, -6, 6],\n [-7, 8, -4, -5, 2, 8, 5, -2, 7, -6],\n [0, -2, -2, -2, 10, 10, 6, -11, 7, -5],\n [0, 6, 13, -5, 6, -7, -5, 6, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13771674658", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-2, 6, 6, 13, 4, -3, -3, 10, 6, 13],\n [-13, 6, -6, 9, 7, 10, 8, -13, -14, -1],\n [-2, -12, 12, 5, 10, -10, -13, 11, 6, 14],\n [3, -6, 7, 13, 13, -3, -10, 3, 8, 8],\n [-13, -5, 7, -5, 11, -12, 9, -1, -10, 9],\n [8, -2, 12, 9, 13, 2, -9, 14, 14, 12],\n [-2, 14, -3, -12, 1, -10, -13, -4, -11, 7],\n [-14, -2, 3, 1, -13, -6, 12, -3, -10, -10],\n [7, -2, 1, 11, 4, -6, 1, 4, -11, 13],\n [0, -6, 1, 11, 9, -9, -7, -14, -1, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10267780494", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-5, 2, 0, 2, -6, -6, -2, -5, 0, 10],\n [2, -8, 10, 13, 2, -2, 6, -8, 0, 8],\n [0, 10, -13, 2, -6, 2, 7, 2, 11, -8],\n [2, 13, 2, -8, 4, -4, 8, 1, -8, -12],\n [-6, 2, -6, 4, -7, 2, 6, -2, -8, 0],\n [-6, -2, 2, -4, 2, -5, -4, -10, 6, 6],\n [-2, 6, 7, 8, 6, -4, 12, -2, -2, 6],\n [-5, -8, 2, 1, -2, -10, -2, 2, -6, -11],\n [0, 0, 11, -8, -8, 6, -2, -6, -1, -2],\n [10, 8, -8, -12, 0, 6, 6, -11, -2, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "391242354589", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-12, 0, -4, 6, 4, 12, -4, -5, 4, -9],\n [0, -7, 2, 6, 2, -6, 0, -2, -4, 2],\n [-4, 2, 3, -8, 1, -5, 6, 1, 10, -2],\n [6, 6, -8, 7, -2, 8, 0, 2, 5, -4],\n [4, 2, 1, -2, 2, 2, -8, 0, -4, -3],\n [12, -6, -5, 8, 2, 10, 10, -8, 0, 14],\n [-4, 0, 6, 0, -8, 10, -12, 6, -3, 2],\n [-5, -2, 1, 2, 0, -8, 6, -1, 2, -2],\n [4, -4, 10, 5, -4, 0, -3, 2, -7, -5],\n [-9, 2, -2, -4, -3, 14, 2, -2, -5, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3771581738", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (10, 7) of the result:\nA =\n[[-2, 5, -6, 2, 2, 7, -6, -1, 2, 12],\n [5, -3, -4, -1, 3, 4, -12, -4, 4, -13],\n [-6, -4, 13, -3, 8, 0, -9, 0, 5, 6],\n [2, -1, -3, -7, 0, 6, -4, -2, -3, 1],\n [2, 3, 8, 0, -9, 8, 0, -4, 2, 3],\n [7, 4, 0, 6, 8, -3, -2, 7, 6, -8],\n [-6, -12, -9, -4, 0, -2, -11, 0, -3, -7],\n [-1, -4, 0, -2, -4, 7, 0, 13, 0, -5],\n [2, 4, 5, -3, 2, 6, -3, 0, 8, 0],\n [12, -13, 6, 1, 3, -8, -7, -5, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139597072996", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 9) of the matrix A^8 where A is:\n[[13, 6, -3, -13, 9, -5, -9, -3, -3, 2],\n [3, -11, -12, 10, 2, 8, -6, 10, 7, -3],\n [14, -8, 1, -7, -12, 6, -2, 5, -6, -6],\n [-11, 13, -1, 3, -14, 4, -13, -10, 7, -1],\n [-6, 5, 5, 0, 5, -14, 4, -11, -1, -14],\n [-10, -5, -6, 2, -1, 13, -8, 3, -5, 13],\n [12, 10, -11, -1, -12, 13, 14, 12, 8, 7],\n [-4, -5, -7, -6, 13, 8, -9, -1, 13, 9],\n [-6, -1, -7, -9, 9, 10, -9, 7, -13, 10],\n [9, -10, 11, -12, 10, -4, 11, 14, -8, 14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59007042509", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-6, 4, 8, 10, 5, 4, -2, 8, 1, -9],\n [4, -5, 8, 12, 4, 2, 8, -6, 9, -11],\n [8, 8, 0, -9, -10, -1, 0, 2, -2, -4],\n [10, 12, -9, 6, -2, 9, 2, -4, -12, -10],\n [5, 4, -10, -2, 7, 4, -6, -9, -1, 0],\n [4, 2, -1, 9, 4, -6, 6, 4, -2, 1],\n [-2, 8, 0, 2, -6, 6, 3, -6, 4, -4],\n [8, -6, 2, -4, -9, 4, -6, -11, -4, 9],\n [1, 9, -2, -12, -1, -2, 4, -4, -7, -10],\n [-9, -11, -4, -10, 0, 1, -4, 9, -10, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6328622494421", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, 7, 0, 6, -10, 0, 12, -9, -5, 8],\n [5, 0, 5, 13, -6, -11, -7, 11, -2, 2],\n [-11, -13, 12, 11, -10, -13, 1, 8, 11, 8],\n [0, 10, 14, -11, 0, -10, -12, -1, -8, 0],\n [-10, -6, 13, -2, -8, -11, -8, -14, 0, 0],\n [3, 0, -12, -10, 13, -10, 1, 8, 10, -5],\n [10, 7, 8, 13, -2, 0, -7, 5, -8, -1],\n [-9, -7, 0, 2, -10, -3, -2, -12, 10, 10],\n [4, 11, 13, 0, 3, 6, 5, -8, 13, -1],\n [9, 5, 4, 10, 9, -4, 12, -8, -4, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104347964323", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the 7th power of the matrix:\n[[9, 0, 2, -2, -12, 0, -7, -8, 10, -10],\n [0, 13, -10, 4, 2, -9, 2, -2, 4, -10],\n [2, -10, 12, -8, -5, 2, -1, 5, 6, -10],\n [-2, 4, -8, -14, 0, 1, 2, -10, 11, 8],\n [-12, 2, -5, 0, 12, 6, -7, 0, -10, -8],\n [0, -9, 2, 1, 6, -3, -6, -1, -4, 6],\n [-7, 2, -1, 2, -7, -6, -12, 2, 0, 0],\n [-8, -2, 5, -10, 0, -1, 2, -10, 4, -2],\n [10, 4, 6, 11, -10, -4, 0, 4, -5, 1],\n [-10, -10, -10, 8, -8, 6, 0, -2, 1, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1544370122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 6) of the 6th power of the matrix:\n[[-4, -12, 2, -6, -1, -13, -1, -12, -13, 7],\n [7, 14, -14, -11, -5, 0, 6, -3, -9, 6],\n [-12, -12, 4, 7, 5, -11, 4, -1, -11, -7],\n [4, 11, 4, 7, -14, 11, 7, 0, -4, -6],\n [-12, 3, 4, 1, 1, 13, -12, 3, -2, 12],\n [5, -7, -8, 11, 10, 9, 14, 8, 7, 4],\n [11, 5, 9, -3, 3, 0, -3, -9, 14, 2],\n [8, -11, -3, 2, 6, -10, 14, -9, 0, 13],\n [-7, 5, 1, -2, 13, 8, 12, 0, 5, -2],\n [0, -13, 9, 6, 11, 5, 13, 3, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17373962", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-6, -8, -6, 14, -3, -5, -5, -2, -10, 12],\n [7, -7, -5, -9, -4, -11, -13, -9, -2, 14],\n [-3, -1, 10, -7, -12, -10, 7, -8, 3, -9],\n [3, -7, -8, -13, -11, 8, -6, 1, 4, -5],\n [11, -7, 14, 1, 10, 14, -7, 5, -11, 12],\n [8, 5, 12, -2, 11, -5, 8, 10, 13, -6],\n [10, 11, -3, 11, 0, 7, -14, -3, 9, -1],\n [7, 8, -13, -12, -9, 4, 6, -2, 5, 6],\n [-7, -11, 10, 4, 13, -8, -8, -14, 4, 11],\n [2, -7, 11, 6, 0, 5, 4, -8, 9, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4643297233962", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-2, -12, -10, 1, 4, -10, -5, 0, -10, 8],\n [-12, 7, -4, 4, -10, -8, -4, -12, -10, -10],\n [-10, -4, -1, 2, 14, -2, -8, -3, 8, -5],\n [1, 4, 2, -3, 1, 2, 6, 6, -4, 0],\n [4, -10, 14, 1, 6, 11, -2, 5, 2, 2],\n [-10, -8, -2, 2, 11, -13, -2, 1, 0, 0],\n [-5, -4, -8, 6, -2, -2, 5, -2, 6, -2],\n [0, -12, -3, 6, 5, 1, -2, -8, 0, 3],\n [-10, -10, 8, -4, 2, 0, 6, 0, 6, 12],\n [8, -10, -5, 0, 2, 0, -2, 3, 12, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "930720824161", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 4) of the matrix A^8 where A is:\n[[6, 5, 3, 0, 1, 13, -3, -7, 10, -9],\n [9, 3, -4, -9, 2, -5, 4, 0, 1, 8],\n [13, 14, 14, 2, 7, -8, 4, 12, -7, -7],\n [-10, -4, -13, 3, 6, -11, -3, -11, -10, 2],\n [8, 4, -5, -1, 0, 11, -1, 1, -7, -6],\n [-7, -4, -3, -1, 3, 8, -3, -11, -2, 6],\n [12, 1, -5, 6, -4, 10, -3, 3, -13, 4],\n [-10, 13, 5, -5, 11, 1, -3, -6, -12, -14],\n [-10, -7, 2, -14, -2, -9, 0, -8, 9, -7],\n [-12, 0, -11, -6, -4, 6, -1, 12, -6, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16108233315", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 6) of the matrix A^8 where A is:\n[[-10, 6, 10, -9, 4, 13, -10, -14, 10, -5],\n [-1, 11, 12, 8, 2, 12, -4, -11, 3, 4],\n [-11, -3, -1, 3, 11, -14, 12, 5, 10, -4],\n [12, 10, 13, 10, 4, -14, -14, -12, 11, -1],\n [-7, 0, -11, -4, -7, -8, 9, -13, -7, 10],\n [11, 12, 7, 4, 8, -6, 1, -7, -7, -4],\n [-8, 6, -13, 6, -10, 3, -4, 11, 2, 6],\n [-9, -2, -8, -4, 3, -9, -3, 9, 7, -12],\n [4, -4, 8, -13, -12, 8, 10, 2, -10, 14],\n [-13, -3, -10, 14, -2, 7, 9, -8, 6, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185468849594", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (3, 5) of the result:\nA =\n[[-10, 3, -9, -12, -9, 1, -12, 3, 9, -11],\n [-10, -6, -11, 14, -14, 12, 7, 12, -4, -10],\n [-5, -12, 0, 12, 12, -1, -10, -7, 2, 5],\n [4, -11, -13, -13, -13, -12, 13, -6, -10, 5],\n [14, 0, -11, -12, -6, 12, -5, 2, 7, 5],\n [-7, 8, 4, -10, 12, -4, -11, -11, 11, 0],\n [-7, 10, 12, -2, 5, -3, -13, -14, -1, 11],\n [5, -7, 1, -10, -13, 0, 12, -11, -11, -5],\n [6, 3, -8, -10, -11, 9, 0, 3, 2, -9],\n [11, 11, 9, 8, 10, -14, -12, -6, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166470478398", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 9) of the 6th power of the matrix:\n[[12, -2, 4, -7, 0, 0, 8, 9, 10, -9],\n [-2, 7, -4, -1, -10, 6, 2, 6, -4, -12],\n [4, -4, 7, -4, -10, -4, 0, 11, 4, -2],\n [-7, -1, -4, 13, -3, 4, -8, -4, 10, 2],\n [0, -10, -10, -3, 13, -1, -4, 0, 2, 2],\n [0, 6, -4, 4, -1, -10, -6, -4, -4, -2],\n [8, 2, 0, -8, -4, -6, 5, -10, 5, 3],\n [9, 6, 11, -4, 0, -4, -10, -5, -10, 0],\n [10, -4, 4, 10, 2, -4, 5, -10, 13, 5],\n [-9, -12, -2, 2, 2, -2, 3, 0, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141092339", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[13, 7, -3, 4, -2, 4, 5, 10, 6, 0],\n [7, 1, 1, 2, -12, -9, 6, 1, -10, 1],\n [-3, 1, -5, -4, 6, -8, 6, 7, -10, -10],\n [4, 2, -4, -9, 0, 10, 0, 2, -8, -2],\n [-2, -12, 6, 0, 11, -6, 0, 0, 6, -3],\n [4, -9, -8, 10, -6, 9, 4, 5, -4, 0],\n [5, 6, 6, 0, 0, 4, -4, 4, -1, -4],\n [10, 1, 7, 2, 0, 5, 4, -1, -2, 10],\n [6, -10, -10, -8, 6, -4, -1, -2, 13, 8],\n [0, 1, -10, -2, -3, 0, -4, 10, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1377642978835", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 7) of the matrix A^6 where A is:\n[[5, 13, 6, -12, 1, 8, -2, -2, 10, -3],\n [13, -6, 4, 0, -6, 4, -5, -2, 2, 2],\n [6, 4, 11, 0, -1, -1, 10, -8, 4, -6],\n [-12, 0, 0, -1, 6, -10, -5, -7, -8, -6],\n [1, -6, -1, 6, -14, -7, 1, -9, 0, -6],\n [8, 4, -1, -10, -7, 9, 0, -12, 9, -8],\n [-2, -5, 10, -5, 1, 0, -11, -2, -11, -5],\n [-2, -2, -8, -7, -9, -12, -2, 10, 6, -12],\n [10, 2, 4, -8, 0, 9, -11, 6, -6, 6],\n [-3, 2, -6, -6, -6, -8, -5, -12, 6, 14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61719894", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 8) of the result:\nA =\n[[-4, 6, -1, 3, -7, 8, 1, -2, -2, 10],\n [6, 11, -2, 4, 1, -4, 7, -6, 7, 9],\n [-1, -2, -6, -2, -2, 0, -2, -4, -8, 0],\n [3, 4, -2, 12, 0, 1, -13, -8, -8, 6],\n [-7, 1, -2, 0, -2, -2, -2, -13, 8, 5],\n [8, -4, 0, 1, -2, 1, -8, 6, -1, 2],\n [1, 7, -2, -13, -2, -8, 14, 4, 2, 4],\n [-2, -6, -4, -8, -13, 6, 4, -5, -4, -4],\n [-2, 7, -8, -8, 8, -1, 2, -4, 2, 3],\n [10, 9, 0, 6, 5, 2, 4, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3519657178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (10, 10) of the result:\nA =\n[[-2, -6, -2, 1, -4, 1, 0, -2, 10, -1],\n [-6, 2, -1, -3, 10, 6, -3, -13, -4, 10],\n [-2, -1, -1, 6, -3, -4, -5, -4, 4, 8],\n [1, -3, 6, 14, 2, 4, 0, -2, 2, 8],\n [-4, 10, -3, 2, -3, 3, 6, 4, -10, 3],\n [1, 6, -4, 4, 3, -11, 6, 5, 10, 6],\n [0, -3, -5, 0, 6, 6, -2, -4, -4, -9],\n [-2, -13, -4, -2, 4, 5, -4, 2, -3, -3],\n [10, -4, 4, 2, -10, 10, -4, -3, -13, 4],\n [-1, 10, 8, 8, 3, 6, -9, -3, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232716588", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 7) of the matrix A^6 where A is:\n[[-1, 10, 4, -4, 2, 2, 2, 0, 4, -8],\n [10, -8, 12, -4, 2, -12, -9, -2, 2, -2],\n [4, 12, 2, -6, 7, -2, 0, -10, 0, -2],\n [-4, -4, -6, 2, 2, 5, -2, 2, -6, 2],\n [2, 2, 7, 2, -4, 8, -2, -7, -10, 2],\n [2, -12, -2, 5, 8, 6, -4, -11, 2, -2],\n [2, -9, 0, -2, -2, -4, 0, 5, 6, -2],\n [0, -2, -10, 2, -7, -11, 5, -11, 8, -4],\n [4, 2, 0, -6, -10, 2, 6, 8, 13, 7],\n [-8, -2, -2, 2, 2, -2, -2, -4, 7, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76926837", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, -12, 8, -1, -4, 12, -6, 2, -2, 6],\n [-12, 14, -4, 8, 8, -11, 7, -1, -6, 6],\n [8, -4, 0, 0, 3, -4, -2, 4, -12, -1],\n [-1, 8, 0, -12, 6, -4, 0, 0, 0, 11],\n [-4, 8, 3, 6, 8, 4, -3, 4, 3, -6],\n [12, -11, -4, -4, 4, 8, -12, 6, -6, 2],\n [-6, 7, -2, 0, -3, -12, 11, -8, 4, -3],\n [2, -1, 4, 0, 4, 6, -8, -8, 2, 0],\n [-2, -6, -12, 0, 3, -6, 4, 2, -14, -12],\n [6, 6, -1, 11, -6, 2, -3, 0, -12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1405287024", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[14, -12, 13, -8, 0, -14, 9, 4, -10, 11],\n [12, 6, 7, -8, -4, -14, 7, -13, -1, -5],\n [-12, -1, -10, 2, -8, -14, 9, -4, 13, -9],\n [1, 12, -1, 2, 0, -1, -8, -5, 4, -8],\n [0, 12, 9, 11, -1, 0, 4, 6, 11, 1],\n [-13, -13, -14, 1, 4, -11, -12, -4, 9, 2],\n [-10, 8, 14, -6, -14, 10, 12, -6, -11, 1],\n [0, -5, -10, 1, -9, 1, -11, 7, 6, 0],\n [-12, 4, -6, -10, 1, 12, -12, -7, 9, -1],\n [14, -12, 1, -8, -6, -12, -7, 13, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404425588812", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[13, -1, 1, 4, 13, -11, -12, -2, -6, -2],\n [14, -3, 11, 6, 0, -12, -12, 12, -13, 11],\n [-9, 10, 1, 8, 3, -6, -12, 8, 11, 8],\n [1, -11, -1, -11, 13, 3, 3, 3, 13, 12],\n [6, -12, 11, -8, -2, -8, 7, -2, 9, 12],\n [-11, 1, 10, 13, 13, 0, -2, -5, -5, -10],\n [-11, 4, 0, -6, 1, 13, -11, 10, -4, 2],\n [6, -14, -6, -3, 8, -3, -5, -6, 6, 11],\n [10, 5, 1, -2, -12, 3, -11, 4, 10, -2],\n [13, 13, -2, -3, 9, 13, -14, -13, -12, 7]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2268583638", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[6, 7, -2, 10, -8, -7, -1, -1, 2, 4],\n [7, -10, 0, 5, -5, 7, 7, -7, 4, -8],\n [-2, 0, -8, 4, 12, -2, 3, -6, 12, 5],\n [10, 5, 4, -3, 14, 1, 4, 0, 4, 0],\n [-8, -5, 12, 14, 14, -4, 1, 14, 0, 4],\n [-7, 7, -2, 1, -4, -13, -4, 1, 10, -6],\n [-1, 7, 3, 4, 1, -4, -3, 10, -2, 2],\n [-1, -7, -6, 0, 14, 1, 10, 4, -2, -4],\n [2, 4, 12, 4, 0, 10, -2, -2, 2, 2],\n [4, -8, 5, 0, 4, -6, 2, -4, 2, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4579449671739", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-11, 4, 9, -14, -14, -6, 8, 10, -12, -12],\n [3, -13, -4, -6, -13, 5, 12, -11, -6, -1],\n [4, 1, 11, -1, 0, 3, 13, 0, 4, -6],\n [6, 6, 1, 8, 2, -5, -10, -6, -1, 7],\n [13, 9, -5, 9, -14, 9, 7, 5, -12, 1],\n [-10, -2, -10, 8, 10, -4, 2, 10, -12, 7],\n [-9, 1, 5, -13, -10, 4, 5, 7, -4, 8],\n [3, 12, -12, -3, 8, -2, 6, 5, 5, -6],\n [-6, 11, -8, -14, -14, 4, -12, -8, -3, 1],\n [-2, 3, 9, 2, 12, 14, 9, -6, -1, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5923000534", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (3, 8) of the result:\nA =\n[[-4, 5, -9, -9, 9, -7, -14, -6, -5, 2],\n [-12, 8, 6, 7, -2, -7, 5, -1, 5, -7],\n [4, -2, -9, -11, -9, 5, -13, -5, -4, -4],\n [-12, -4, -7, 14, 2, 12, 11, 7, 10, -14],\n [1, 14, 5, -8, 7, 7, 10, -7, -2, 14],\n [-10, 12, 13, 12, 3, -3, 1, -12, -3, 11],\n [4, 5, 3, -7, 9, -2, 13, -7, -5, -1],\n [0, 6, 0, 11, -9, -1, -9, 8, -14, -5],\n [4, -4, -12, 12, 8, -9, -6, 10, -6, 14],\n [-11, -12, 5, 4, 8, -4, 4, 2, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79342090", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-10, -7, 12, -7, -12, 4, 1, -5, 8, -12],\n [-6, -7, -7, 10, -7, 5, -8, -1, 7, 2],\n [-3, -10, -13, 10, 0, -4, 0, -2, 4, -3],\n [0, -3, 8, 3, 8, 14, -11, -4, 7, 0],\n [10, 9, 10, -10, -10, 5, 10, -5, 9, 7],\n [-5, 7, -9, -9, 8, -9, 9, -8, 3, 11],\n [-11, -1, -4, -8, 3, 5, -13, -13, -8, -4],\n [3, 5, -8, 7, 5, 10, -10, -13, -1, -8],\n [-5, 13, 3, -7, 8, 1, -1, 13, -6, -9],\n [-8, 11, -6, -8, -6, 9, 6, -8, -3, 8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4334272826201", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[2, -2, 0, 4, -2, 10, -10, 3, -12, -12],\n [-2, 14, -6, -1, 12, -4, 12, -10, 13, 8],\n [0, -6, 8, 2, 3, -10, -13, 4, 12, -3],\n [4, -1, 2, -8, 0, -2, 7, -6, 4, -7],\n [-2, 12, 3, 0, -14, -2, 12, -13, 2, -13],\n [10, -4, -10, -2, -2, -8, 4, 4, -2, 0],\n [-10, 12, -13, 7, 12, 4, -13, -2, 8, 4],\n [3, -10, 4, -6, -13, 4, -2, 6, -10, 6],\n [-12, 13, 12, 4, 2, -2, 8, -10, 14, -9],\n [-12, 8, -3, -7, -13, 0, 4, 6, -9, -11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4510947418588", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (4, 6) of the result:\nA =\n[[7, 3, 2, 5, 4, 8, 8, 13, -1, 11],\n [12, -8, -6, 10, 5, -6, 0, -4, -8, -9],\n [12, -6, -11, 2, -9, 14, 2, 11, 10, -1],\n [-10, 3, 13, -7, -5, -4, 7, 14, -12, 12],\n [-13, 11, 12, -1, -11, 2, 2, 6, 11, -6],\n [13, 6, 7, 11, -6, -12, 13, -11, -13, -1],\n [5, -7, 3, -11, -7, -8, 10, 0, 0, -13],\n [-11, 10, 7, 10, -6, 8, -8, 9, 3, 11],\n [-3, -1, -8, -9, 8, 7, 12, 4, 6, 4],\n [7, 0, 4, -3, -13, -4, -2, -11, 10, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153993821", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[9, 4, -4, -2, 12, -2, -9, 5, -4, 6],\n [4, -13, 0, 0, 0, 5, -3, 8, 10, -11],\n [-4, 0, -1, 3, -6, -8, 2, 4, 10, 5],\n [-2, 0, 3, -3, 10, -3, -2, 6, -2, -10],\n [12, 0, -6, 10, 2, -4, -6, 0, 2, 2],\n [-2, 5, -8, -3, -4, 11, 2, -9, -4, 8],\n [-9, -3, 2, -2, -6, 2, 14, 6, -11, -2],\n [5, 8, 4, 6, 0, -9, 6, 2, -4, 9],\n [-4, 10, 10, -2, 2, -4, -11, -4, -6, 2],\n [6, -11, 5, -10, 2, 8, -2, 9, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "491684770215", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^8 where A is:\n[[14, -11, 3, 4, 9, 13, -7, -1, -14, -13],\n [5, 12, 14, 7, -12, 1, 8, -12, 9, -9],\n [-7, 8, -3, -10, -10, -12, -11, 9, -10, 14],\n [10, -12, -5, 4, 9, -7, 13, 8, -9, 8],\n [-8, -9, -2, -2, 10, 6, -10, -9, -5, 12],\n [14, 5, 11, -5, 10, 13, 1, 3, 12, 13],\n [-12, 10, -14, 6, -12, 4, -14, -7, 4, -11],\n [1, -10, -10, 13, -13, 8, -9, 12, -8, 0],\n [-5, -5, 4, 9, 1, 7, 8, -6, 9, -7],\n [4, -14, 13, 2, 11, 3, 9, 11, 0, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153198168315", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[7, 1, -2, -2, 8, -11, 6, 4, -8, 0],\n [1, 1, 6, 0, -13, -6, -6, 0, -13, -4],\n [-2, 6, -3, -4, 10, 6, -6, -4, 7, -6],\n [-2, 0, -4, 4, 12, 8, 3, -8, 8, -4],\n [8, -13, 10, 12, 12, -2, 2, -1, -6, 6],\n [-11, -6, 6, 8, -2, -4, 2, 0, 4, -4],\n [6, -6, -6, 3, 2, 2, 7, 10, -3, -6],\n [4, 0, -4, -8, -1, 0, 10, -2, 4, -2],\n [-8, -13, 7, 8, -6, 4, -3, 4, -2, 4],\n [0, -4, -6, -4, 6, -4, -6, -2, 4, -9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1514716405", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[11, -5, -2, 10, 7, 10, -1, 3, 6, -4],\n [-5, 7, 4, 4, 6, 10, 0, -9, 2, 4],\n [-2, 4, -3, -2, -2, -1, 6, -9, 0, 7],\n [10, 4, -2, 4, -12, 10, 6, 2, -4, -6],\n [7, 6, -2, -12, 11, 5, 4, 1, -2, 0],\n [10, 10, -1, 10, 5, 11, 2, 8, -5, -9],\n [-1, 0, 6, 6, 4, 2, -3, 2, 8, 9],\n [3, -9, -9, 2, 1, 8, 2, 8, 0, 4],\n [6, 2, 0, -4, -2, -5, 8, 0, 12, -2],\n [-4, 4, 7, -6, 0, -9, 9, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5269303800", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[5, -2, -4, -6, -6, 5, 8, 4, 0, -11],\n [-2, -8, -2, 4, -4, 4, -2, 4, 11, 4],\n [-4, -2, -8, -1, 6, 4, -6, -3, 2, -2],\n [-6, 4, -1, -2, -8, 11, 2, 2, 6, -2],\n [-6, -4, 6, -8, 10, -6, 3, 1, -3, -2],\n [5, 4, 4, 11, -6, -11, -2, -4, -2, -7],\n [8, -2, -6, 2, 3, -2, -14, -6, 4, 8],\n [4, 4, -3, 2, 1, -4, -6, 14, 6, 0],\n [0, 11, 2, 6, -3, -2, 4, 6, 6, 7],\n [-11, 4, -2, -2, -2, -7, 8, 0, 7, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178156858260", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-3, 6, 7, 8, 3, 9, 4, -4, 2, 4],\n [6, 0, -5, 6, 2, 6, -8, 1, 2, 2],\n [7, -5, -9, -12, 4, -12, -6, 2, 1, 0],\n [8, 6, -12, -9, 8, -3, 0, -2, 4, 6],\n [3, 2, 4, 8, -6, -1, 1, 2, 2, 4],\n [9, 6, -12, -3, -1, -10, -10, 0, 6, 8],\n [4, -8, -6, 0, 1, -10, 7, -2, -14, -6],\n [-4, 1, 2, -2, 2, 0, -2, 3, 0, -2],\n [2, 2, 1, 4, 2, 6, -14, 0, -8, -8],\n [4, 2, 0, 6, 4, 8, -6, -2, -8, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4715527583186", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-1, 6, -6, 0, 8, -8, 4, 1, 3, -2],\n [6, -2, 2, -6, -8, -7, 0, 0, -6, 4],\n [-6, 2, -9, 2, -10, 4, -4, 0, -2, 0],\n [0, -6, 2, 5, 13, 3, -6, 1, 4, -6],\n [8, -8, -10, 13, -1, 4, 6, -5, -4, -8],\n [-8, -7, 4, 3, 4, 13, 0, -4, -6, -12],\n [4, 0, -4, -6, 6, 0, 2, 3, -4, 6],\n [1, 0, 0, 1, -5, -4, 3, -6, -6, 5],\n [3, -6, -2, 4, -4, -6, -4, -6, 10, -4],\n [-2, 4, 0, -6, -8, -12, 6, 5, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4209247840", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-13, -6, 2, 1, 0, 9, -5, -6, 0, 1],\n [-6, 2, 8, 1, -1, 1, -1, -4, -10, -5],\n [2, 8, -4, -4, 6, 5, 4, 4, 6, -5],\n [1, 1, -4, 7, -8, 10, 6, -6, 9, 10],\n [0, -1, 6, -8, -13, 2, -5, 4, -6, 6],\n [9, 1, 5, 10, 2, -3, -6, -10, 12, -8],\n [-5, -1, 4, 6, -5, -6, -10, 0, 5, -10],\n [-6, -4, 4, -6, 4, -10, 0, -5, 8, 2],\n [0, -10, 6, 9, -6, 12, 5, 8, 6, 0],\n [1, -5, -5, 10, 6, -8, -10, 2, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1919785623", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 10) of the 6th power of the matrix:\n[[10, 10, 9, 4, -8, 5, 9, 8, -3, -6],\n [-7, 4, 6, -12, -4, -3, 10, 2, -8, 10],\n [-12, -8, -8, 12, -1, -13, 1, 6, -5, -1],\n [14, -8, -13, 11, -5, -13, 12, -2, 7, -13],\n [-5, -1, 2, 4, -3, 2, -9, -11, -13, 14],\n [0, 13, 8, 8, 9, 1, -3, 13, -8, -2],\n [-14, 4, -2, -14, -13, -14, -3, 10, 8, 10],\n [9, -5, -13, -14, -10, 8, -13, -11, 8, 14],\n [-1, -6, -9, 8, 9, -3, -3, 9, 14, -6],\n [13, 0, -5, -13, 14, 8, 3, -8, 12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32757539", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 7) of the matrix A^7 where A is:\n[[5, 13, 6, 6, 13, 3, 14, -12, -2, -5],\n [2, -12, 6, -6, 2, 1, -9, 13, 3, 13],\n [-9, 11, -9, 2, 6, -5, -13, -14, -4, 10],\n [-9, -14, 1, 11, -6, -3, -6, -2, -8, 10],\n [-14, 14, -12, 9, -12, 9, 4, -11, 14, 13],\n [-3, -11, 6, -5, 11, 12, -11, 8, -4, -11],\n [-4, 2, 6, 13, 9, 7, 5, 5, -2, 2],\n [11, -2, 2, 4, 5, 0, -11, 3, -4, -6],\n [1, 9, -12, 12, 3, 2, -5, 10, -10, 9],\n [14, 0, 5, 3, -10, 9, 0, -9, -7, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6777591164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-12, -10, 3, 13, 0, 12, -3, 4, -8, -14],\n [9, 6, -13, 4, -2, 5, 3, -5, -2, -10],\n [8, -2, -6, -14, 11, 14, 7, -9, -14, 3],\n [12, 1, -7, -9, -2, 2, 11, -2, -5, 12],\n [-9, 11, 8, 3, 12, 5, 8, -2, 12, 0],\n [-9, -4, -7, -1, -2, 7, -13, -14, -10, -4],\n [-5, -3, -5, -6, -13, 8, 10, -11, -11, 11],\n [6, 14, 14, -9, -3, -8, 10, 7, 4, -13],\n [7, 10, 4, -11, -12, 8, -11, 13, -1, -9],\n [-9, -6, -10, -8, -2, -14, 9, -13, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-520963452990", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, 13, -9, -11, -7, -1, 14, 1, 0, -2],\n [-3, -8, 0, -9, 6, 6, -1, 12, 0, 8],\n [-4, 7, -11, 8, -10, 8, 8, 12, -13, 13],\n [5, 0, -5, -11, 14, 8, -7, -4, 2, -8],\n [-4, 7, -5, -14, -7, -10, -2, -8, 9, 8],\n [-4, -3, -1, -3, 11, 13, 14, -14, -9, 12],\n [-4, -4, -3, -14, 5, 5, 9, -9, 14, 8],\n [-2, -3, -5, 8, -8, -5, 3, -9, 9, -7],\n [5, 8, -6, 1, 9, -13, 14, -4, 9, 4],\n [-11, -12, 0, -7, -11, -4, 2, -6, 10, -14]], determine the value at position (2, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44211077", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the 6th power of the matrix:\n[[-7, -9, 9, -8, -13, 2, 3, 5, 10, 4],\n [-9, -1, 2, -8, -5, 4, -4, 3, 12, -14],\n [9, 2, 3, -8, -2, 8, -8, -2, 3, -4],\n [-8, -8, -8, 10, 8, -10, 9, -4, 2, -3],\n [-13, -5, -2, 8, 1, -3, 8, -10, -3, -10],\n [2, 4, 8, -10, -3, 14, 6, 0, 0, 0],\n [3, -4, -8, 9, 8, 6, 7, 0, 4, -4],\n [5, 3, -2, -4, -10, 0, 0, 3, 11, 4],\n [10, 12, 3, 2, -3, 0, 4, 11, 10, 7],\n [4, -14, -4, -3, -10, 0, -4, 4, 7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-861590132", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-4, 12, 9, -7, -14, 13, -8, -2, 5, -9],\n [-11, -3, -10, -10, 2, -9, -5, 1, 9, 14],\n [6, -1, -5, 14, 13, 7, 6, 2, -10, -13],\n [-11, 3, -7, -1, -2, 14, -8, -6, -11, -10],\n [0, -6, 10, 3, 13, 12, -1, 0, -14, 4],\n [11, -14, -9, -7, -11, 1, -4, -11, -4, -5],\n [2, -6, -5, -7, -1, -2, -12, -1, -1, -12],\n [14, 1, -5, -11, 5, 3, -11, -13, -4, 0],\n [-4, 8, 6, 8, -9, 3, 13, 3, -14, -2],\n [-14, -2, 6, -10, 8, 2, 1, 6, 3, -5]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90693897699", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 10) of the 8th power of the matrix:\n[[2, -8, 0, 4, 12, -6, 6, 6, -10, 10],\n [14, -5, -2, -14, 6, 11, -9, 10, -12, 2],\n [-3, 12, -4, -7, 10, -3, -4, 7, -10, 13],\n [-7, -3, 7, -9, -6, 10, 2, 13, -13, -14],\n [3, -12, 14, -1, -2, -13, 7, -11, 0, -10],\n [-5, -6, 3, -12, -1, -5, 2, 0, 3, 2],\n [10, -12, 1, 4, -2, 8, 2, 10, 8, 1],\n [-6, 9, 6, -3, -12, 12, -6, 1, -10, 10],\n [4, 7, -2, -13, 4, 3, -3, 3, -10, 11],\n [5, 12, 5, 14, -7, 7, 1, 11, -13, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5040567552", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 2) of the matrix A^6 where A is:\n[[-14, -2, 6, 2, 3, -10, -12, 4, -10, -5],\n [-2, -6, 9, -4, 0, 1, 0, 0, 4, 2],\n [6, 9, -7, -12, 10, 2, -1, 5, 8, 2],\n [2, -4, -12, -9, 4, -5, 7, -1, 2, 2],\n [3, 0, 10, 4, -10, 6, -12, 0, -3, -8],\n [-10, 1, 2, -5, 6, 4, 2, 7, 10, -6],\n [-12, 0, -1, 7, -12, 2, 8, -2, -1, -8],\n [4, 0, 5, -1, 0, 7, -2, 6, 2, 4],\n [-10, 4, 8, 2, -3, 10, -1, 2, -13, 8],\n [-5, 2, 2, 2, -8, -6, -8, 4, 8, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35072043", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-9, 8, -14, -1, -5, -11, 3, 8, 4, 10],\n [-7, -3, -5, -2, -8, 9, 2, 11, -3, -9],\n [8, -8, -2, -1, 10, 8, 13, 8, -2, -9],\n [4, -2, 7, -6, -4, -5, -12, 4, 12, -8],\n [8, -10, 9, 9, 12, 12, 0, -13, -4, -9],\n [-10, 5, -8, -11, -10, 9, -10, 12, 14, 12],\n [10, -5, 3, -13, 0, -6, -13, -12, 7, 5],\n [9, 9, -13, -13, 4, -1, 12, 3, 6, -14],\n [-8, -7, -3, -11, 8, 10, -8, 3, 3, 11],\n [-5, -5, -9, 9, -3, -5, 12, -2, 11, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4249092238", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-3, 4, -14, -14, -4, 3, 11, 7, -13, -9],\n [1, 12, -14, -6, 13, 0, 1, -1, -8, -14],\n [1, -6, 14, 10, -4, -5, -4, -9, -13, 3],\n [-3, -1, -7, 10, -11, 3, 6, -2, 8, -1],\n [5, 13, 10, 13, 0, 5, 9, 4, 13, -1],\n [-3, 7, 0, -9, 4, -13, -9, 8, 8, 11],\n [-4, -14, 13, 7, -6, -2, -6, 0, 13, 3],\n [-11, 7, -11, -3, -6, 3, 11, -9, 2, 10],\n [2, 14, -2, -3, -1, -7, 14, 0, -6, -14],\n [2, -5, 8, 11, -10, -4, -12, 10, -13, 7]], determine the value at position (4, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18143307", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, 2, -8, -8, -6, 1, 2, 6, 10, 0],\n [2, 6, -6, 4, 6, -3, -5, -9, 0, -4],\n [-8, -6, 14, 7, -9, 0, -5, -4, -4, 2],\n [-8, 4, 7, -5, 0, 7, 12, -6, -7, -6],\n [-6, 6, -9, 0, 8, -1, -8, -10, -1, -6],\n [1, -3, 0, 7, -1, 12, -4, 3, -8, 2],\n [2, -5, -5, 12, -8, -4, 2, -8, 0, -7],\n [6, -9, -4, -6, -10, 3, -8, -9, 0, 4],\n [10, 0, -4, -7, -1, -8, 0, 0, 14, -2],\n [0, -4, 2, -6, -6, 2, -7, 4, -2, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "791883695", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[9, -2, 1, -6, 6, -13, -13, -10, -10, -10],\n [-1, -9, 13, 1, 1, -7, 12, -10, -2, -12],\n [-6, -11, 13, -7, 1, 10, -4, 8, 4, -5],\n [12, 7, -8, -3, 8, -7, -5, -10, -10, -2],\n [-13, -3, -4, -13, 0, 5, -8, -7, -12, 2],\n [5, -9, 7, 10, 0, -2, 8, -2, -3, -1],\n [-6, -5, 12, -10, 6, -10, 6, 5, -9, -3],\n [2, 1, 3, 10, 7, -9, -5, 5, 6, -6],\n [-13, -12, -5, -7, -6, 13, 6, 4, -14, 13],\n [-13, 5, -11, 1, 6, 10, -3, -13, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "737613578003", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[1, 6, -3, 3, -1, 11, 6, -3, -10, 8],\n [-11, 3, 9, 2, 1, -5, 2, -3, -3, 12],\n [13, 8, -11, -12, -14, -3, 14, -7, -7, -3],\n [-11, 1, -13, -11, 8, -11, 14, -4, 12, -12],\n [-5, -3, 2, -6, 6, -13, 7, 3, -3, -9],\n [10, 3, -2, 0, -14, 8, -7, 3, 5, 9],\n [-3, 5, -3, 10, -14, -5, 14, 8, 4, 12],\n [13, 11, 12, 12, 4, -4, 8, 7, -12, -1],\n [3, 12, 12, -9, 11, 8, -6, 10, -6, 12],\n [11, 2, -11, -11, 11, 9, 4, 1, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1970690314", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (8, 3) of the result:\nA =\n[[7, -8, 10, -10, 6, -12, -3, 4, -6, -12],\n [-12, 1, 10, 5, -2, -9, -14, -4, 3, 12],\n [-12, 3, -4, 11, 0, -12, -3, 6, -3, 2],\n [-14, -4, 8, 10, 0, -6, -8, -4, 12, 14],\n [3, 12, 8, 14, 13, 10, -8, 3, 0, 1],\n [0, 8, -11, 9, -12, 13, -1, 6, -12, 8],\n [1, 0, 4, -5, 6, 2, -11, 7, 3, 7],\n [-5, 8, 1, 9, -12, -3, 11, 12, 4, 6],\n [-12, -6, -8, 1, 6, 6, -14, 10, 0, -13],\n [1, -8, -1, 8, -13, 9, 9, 10, 3, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6484458740", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the 8th power of the matrix:\n[[1, -6, -12, 11, -2, 14, -13, 11, 3, -13],\n [-7, -12, 2, 9, -13, -9, -7, 11, 10, 2],\n [10, 9, -9, -3, 6, 1, -9, -13, 12, -12],\n [-6, 4, 14, -5, 8, 12, 14, -2, 5, 13],\n [12, -2, 10, 13, 14, 5, 11, 0, -2, -2],\n [11, -9, 13, 3, -8, -12, -14, -3, 8, -10],\n [-4, -3, 8, 1, -14, 6, 3, -14, 7, 13],\n [-10, -11, -14, 0, -10, -8, 2, 5, -9, -2],\n [9, 8, 0, -8, 9, 14, -8, -2, -11, 12],\n [7, 13, 3, -7, 4, 1, 5, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221584135468", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[10, -8, -4, 0, 4, 1, 3, 1, -1, -1],\n [-8, -7, -2, -1, -6, 0, -6, 2, 0, 0],\n [-4, -2, 14, -6, 2, -5, -2, 11, -3, 6],\n [0, -1, -6, -12, 10, -10, -8, -4, -3, 2],\n [4, -6, 2, 10, -12, 6, 0, 8, -4, -8],\n [1, 0, -5, -10, 6, 9, 2, -10, -3, -6],\n [3, -6, -2, -8, 0, 2, -2, -5, -7, -2],\n [1, 2, 11, -4, 8, -10, -5, 11, -12, -6],\n [-1, 0, -3, -3, -4, -3, -7, -12, -3, 0],\n [-1, 0, 6, 2, -8, -6, -2, -6, 0, -12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342570274485", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-11, 10, 2, 1, -8, -13, -10, -14, 7, -2],\n [-3, 4, 14, 7, -7, -7, -3, -11, -8, 13],\n [1, 7, 3, -9, 3, 14, -11, 6, -6, -2],\n [4, -3, 1, -10, -13, -12, -2, 6, -8, -2],\n [1, 7, -1, 3, -2, -1, -6, -7, 10, 10],\n [-10, 12, 8, -8, 1, -5, 10, 10, 7, -12],\n [9, 2, -5, -4, 5, -5, 3, 6, 13, 13],\n [8, 12, -14, -11, -12, 5, -9, 11, -9, 13],\n [2, 4, 2, 14, 2, 2, -12, -1, -13, 13],\n [-11, 8, 12, 12, 3, -13, 14, 13, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "522369885", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 7) of the result:\nA =\n[[-2, -6, -5, 8, -7, 0, 6, -5, -1, 0],\n [-6, 14, -2, -10, 0, 4, 0, -2, 2, 7],\n [-5, -2, 11, -4, 10, 8, 0, -3, 1, 0],\n [8, -10, -4, 4, 6, -6, 0, -4, 0, 6],\n [-7, 0, 10, 6, 5, 4, -3, 0, -4, 2],\n [0, 4, 8, -6, 4, 5, -10, 0, 2, 0],\n [6, 0, 0, 0, -3, -10, 11, -6, -4, 12],\n [-5, -2, -3, -4, 0, 0, -6, 1, 7, -1],\n [-1, 2, 1, 0, -4, 2, -4, 7, 3, 6],\n [0, 7, 0, 6, 2, 0, 12, -1, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8140172796", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-13, -9, 13, 11, 13, 13, 12, 8, 10, 6],\n [-9, 10, 11, -9, -1, -4, 13, 2, -11, -11],\n [4, 9, 7, 8, 1, 10, -7, 4, 5, -14],\n [-11, -3, 10, 6, 4, -13, -9, 5, 7, -12],\n [-12, -14, -6, -8, -6, 12, -14, -7, 3, -12],\n [2, -8, 13, -4, -10, -2, -4, -12, -2, 5],\n [13, 13, 11, -9, 7, 0, -13, 8, 13, 14],\n [-13, 10, -1, -13, -10, 1, -7, -7, 14, -4],\n [-2, 0, -11, 8, -7, 1, 1, 9, 6, -5],\n [-13, 3, 6, 1, -11, 5, 4, 10, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "713026755", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[8, -7, -1, 1, -9, 3, -7, 4, -11, -11],\n [-8, -7, -6, -14, 2, 13, -8, 5, -5, 9],\n [6, -14, 3, 11, -1, 4, 3, 10, -2, -8],\n [-13, -8, 13, 13, -5, 2, 6, -10, -6, -11],\n [5, 7, 0, -1, 12, 3, -5, 1, 7, 8],\n [5, -5, -6, 1, -10, 4, 10, -14, 9, -14],\n [11, 9, -10, -8, 9, 0, -4, -3, 2, 2],\n [8, 2, -11, 7, -13, -5, -10, -5, -5, 12],\n [-4, -5, -4, -9, 6, -5, -7, -4, 5, 9],\n [12, 4, -8, 13, 6, -3, 6, -9, -3, -10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33909777950", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-2, 7, -6, 12, 5, 5, -5, 2, -5, -2],\n [7, -7, 10, 7, 6, -5, 0, 6, -7, 0],\n [-6, 10, -5, 8, 2, 11, -2, -9, -4, -7],\n [12, 7, 8, -14, -2, -6, 1, 0, 0, -8],\n [5, 6, 2, -2, -13, -2, 8, 2, -4, -1],\n [5, -5, 11, -6, -2, -10, 0, 0, 6, 7],\n [-5, 0, -2, 1, 8, 0, 14, -4, 7, -8],\n [2, 6, -9, 0, 2, 0, -4, 2, 1, -4],\n [-5, -7, -4, 0, -4, 6, 7, 1, -2, 2],\n [-2, 0, -7, -8, -1, 7, -8, -4, 2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197792746250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[1, 0, 0, 8, 8, 7, 7, -2, 6, -8],\n [0, -1, 2, 10, 6, 10, 2, 4, 0, -2],\n [0, 2, 12, 2, 3, 11, -10, -12, 6, 6],\n [8, 10, 2, -13, 0, 8, 7, -6, 2, 3],\n [8, 6, 3, 0, -5, 3, 4, 6, 6, 2],\n [7, 10, 11, 8, 3, 9, -6, -4, 0, 6],\n [7, 2, -10, 7, 4, -6, -12, 2, -2, -12],\n [-2, 4, -12, -6, 6, -4, 2, 3, -2, 10],\n [6, 0, 6, 2, 6, 0, -2, -2, -1, 11],\n [-8, -2, 6, 3, 2, 6, -12, 10, 11, 12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11409015871", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[13, 10, -1, 0, 2, 5, 2, -4, 2, 6],\n [10, -14, 4, -4, 2, -2, -7, 10, 2, 3],\n [-1, 4, -3, 12, -2, 4, -8, -8, 4, 2],\n [0, -4, 12, 12, -4, -10, 2, 4, -4, -3],\n [2, 2, -2, -4, 11, -9, -5, -3, -6, -3],\n [5, -2, 4, -10, -9, 6, 2, 10, -1, 0],\n [2, -7, -8, 2, -5, 2, -7, 2, 6, 8],\n [-4, 10, -8, 4, -3, 10, 2, -11, -3, -1],\n [2, 2, 4, -4, -6, -1, 6, -3, 14, 8],\n [6, 3, 2, -3, -3, 0, 8, -1, 8, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384382637021", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 7th power of the matrix:\n[[13, -3, -5, 1, 4, -2, 6, 14, 2, 10],\n [-3, 6, 8, 6, 1, -11, 7, 1, 6, -4],\n [-5, 8, -3, 6, -4, -8, -7, 6, 14, -10],\n [1, 6, 6, 5, -12, 2, -8, 2, -12, -6],\n [4, 1, -4, -12, -11, -3, 4, 6, 2, -7],\n [-2, -11, -8, 2, -3, 14, -6, -4, 4, -2],\n [6, 7, -7, -8, 4, -6, -6, 11, -4, 4],\n [14, 1, 6, 2, 6, -4, 11, -13, 2, -8],\n [2, 6, 14, -12, 2, 4, -4, 2, -11, 0],\n [10, -4, -10, -6, -7, -2, 4, -8, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4488073763", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-7, 4, -4, -1, 1, -5, 2, 0, -4, -7],\n [-7, -8, 5, -3, 6, 13, 13, 12, 1, 1],\n [-5, 7, 7, -8, -11, 9, -13, -6, 0, 7],\n [-1, -3, 2, 2, -2, -7, -5, 11, -2, -8],\n [-12, 9, 0, 9, 14, -8, -10, -7, 6, 2],\n [-7, -8, -8, -13, -4, -3, 13, -3, 4, 13],\n [-12, -3, 13, 12, 11, -9, -9, 4, 12, 6],\n [-6, 8, -6, 3, -5, -5, -14, 3, 7, -5],\n [-8, -7, -4, 7, -9, 4, -6, -4, -13, -4],\n [-10, 4, 2, 3, 7, -1, -5, 2, -4, -13]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118087569", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-5, -2, -3, -4, -4, 4, -2, 0, -2, -2],\n [-2, -1, 6, 0, 10, -6, -6, 10, -1, 1],\n [-3, 6, -9, 6, -1, 2, 6, 0, 2, -6],\n [-4, 0, 6, 2, -6, 2, 12, 12, 7, 6],\n [-4, 10, -1, -6, -11, 10, -6, 4, 4, 1],\n [4, -6, 2, 2, 10, 14, -6, -4, -5, 4],\n [-2, -6, 6, 12, -6, -6, 3, 0, -8, -6],\n [0, 10, 0, 12, 4, -4, 0, 11, -1, -6],\n [-2, -1, 2, 7, 4, -5, -8, -1, 2, 4],\n [-2, 1, -6, 6, 1, 4, -6, -6, 4, -13]], determine the value at position (8, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58908204157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-2, 8, 8, 2, -4, -4, -8, -1, 6, 6],\n [8, -1, -2, 6, -2, 0, -10, -10, -6, 2],\n [8, -2, -12, 12, 0, 4, 0, -4, -6, 2],\n [2, 6, 12, -5, 8, -12, -12, 3, -1, -6],\n [-4, -2, 0, 8, -10, 5, 0, -4, 4, 4],\n [-4, 0, 4, -12, 5, -13, 1, -3, 7, -12],\n [-8, -10, 0, -12, 0, 1, 14, -3, -1, 6],\n [-1, -10, -4, 3, -4, -3, -3, 4, -6, 4],\n [6, -6, -6, -1, 4, 7, -1, -6, 2, 1],\n [6, 2, 2, -6, 4, -12, 6, 4, 1, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220748736057", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[11, 4, -12, 4, -3, 0, -7, 6, -10, -2],\n [4, -13, -4, 6, 12, -8, 0, -8, 6, 0],\n [-12, -4, -2, 2, 14, -6, 4, -2, 0, 2],\n [4, 6, 2, -5, -7, -8, 8, 0, 3, -10],\n [-3, 12, 14, -7, -14, -4, -6, 10, -4, -12],\n [0, -8, -6, -8, -4, -12, -5, 4, -1, -4],\n [-7, 0, 4, 8, -6, -5, 11, 2, 5, 6],\n [6, -8, -2, 0, 10, 4, 2, -6, 0, 9],\n [-10, 6, 0, 3, -4, -1, 5, 0, -11, 0],\n [-2, 0, 2, -10, -12, -4, 6, 9, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98816739376", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[12, 12, -2, -2, 2, -4, -3, 0, -10, -1],\n [12, -14, -8, 8, 8, 10, 0, 0, -4, -1],\n [-2, -8, 5, 2, -6, -3, 13, -6, -8, 4],\n [-2, 8, 2, 7, 0, 4, -2, -6, 4, 0],\n [2, 8, -6, 0, -4, -4, -1, -10, 8, 8],\n [-4, 10, -3, 4, -4, -12, 2, 13, 2, 8],\n [-3, 0, 13, -2, -1, 2, -1, 4, -10, 6],\n [0, 0, -6, -6, -10, 13, 4, 5, -7, -2],\n [-10, -4, -8, 4, 8, 2, -10, -7, -4, 8],\n [-1, -1, 4, 0, 8, 8, 6, -2, 8, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216380219", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 10) of the 6th power of the matrix:\n[[11, -2, 2, -1, 2, 0, -3, 8, -7, 0],\n [-2, -11, -4, -1, 6, 5, -9, 4, -5, -1],\n [2, -4, 12, -6, 10, 9, -9, -6, 8, -7],\n [-1, -1, -6, -12, 12, -1, -2, 8, -12, 2],\n [2, 6, 10, 12, -12, 7, -3, -6, 0, 0],\n [0, 5, 9, -1, 7, 14, 1, 8, -2, 8],\n [-3, -9, -9, -2, -3, 1, 1, 4, -2, 4],\n [8, 4, -6, 8, -6, 8, 4, -7, 2, 0],\n [-7, -5, 8, -12, 0, -2, -2, 2, 6, 2],\n [0, -1, -7, 2, 0, 8, 4, 0, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81178524", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-4, 8, 4, -10, 0, -8, -8, -11, 0, -4],\n [8, 10, -10, -5, -10, 2, -6, 7, 6, -4],\n [4, -10, -13, 10, -5, -5, 4, 0, 6, -2],\n [-10, -5, 10, 6, 0, -4, 12, 4, -5, -2],\n [0, -10, -5, 0, -12, -8, 0, 0, -8, -1],\n [-8, 2, -5, -4, -8, 0, 0, 10, -6, 9],\n [-8, -6, 4, 12, 0, 0, -14, -13, 10, -6],\n [-11, 7, 0, 4, 0, 10, -13, -1, 8, 2],\n [0, 6, 6, -5, -8, -6, 10, 8, 0, 0],\n [-4, -4, -2, -2, -1, 9, -6, 2, 0, -9]], determine the value at position (10, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33414513120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, -3, 12, -5, -4, -14, -5, 10, 1, 4],\n [-5, 0, -1, -12, -11, -7, -14, 5, 0, -8],\n [-3, -12, 8, 12, -10, 14, 11, 12, 10, -7],\n [-4, 4, -3, 5, -8, 14, -1, -13, 11, 12],\n [7, 10, -3, -6, 7, -3, -9, -9, 12, 11],\n [7, 4, 5, -9, 11, 2, 2, 14, 8, 2],\n [6, -5, -4, -7, 7, -1, 4, 3, 0, 3],\n [5, 10, 10, 2, -10, 10, -11, -4, 1, -8],\n [12, 1, -9, 14, 5, -5, -4, 0, -3, 8],\n [1, 8, 3, -8, 14, -1, -6, 7, 13, -9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150719798369", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 8th power of the matrix:\n[[-4, -2, 7, 13, 14, 3, -3, -9, 7, -6],\n [3, 10, 6, 0, -6, -5, 11, -13, -1, 6],\n [-4, -2, -13, 6, -8, 13, 0, -8, -3, 12],\n [-8, -10, 0, -8, 7, 8, 6, 13, -13, 10],\n [-13, 4, -6, -13, 14, -1, 0, 9, 14, -3],\n [14, 14, 4, 0, -9, 10, -5, -5, -12, -6],\n [8, -10, 9, 7, -8, 4, 14, -5, -4, -9],\n [12, 4, -8, 1, 11, 7, 11, -3, 9, 9],\n [7, 3, -1, 11, 14, 1, 11, -9, -14, -2],\n [-9, -9, -9, -3, -6, 5, 12, -8, 12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1099573560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, -2, -1, 7, -2, -10, -4, 1, -6, 6],\n [-2, -3, -4, 1, -11, -2, -5, -4, -12, -6],\n [-1, -4, -4, -10, 13, -10, -2, 6, 4, 10],\n [7, 1, -10, -5, 6, -2, -10, -4, -7, -4],\n [-2, -11, 13, 6, 1, -4, -5, 6, 0, -9],\n [-10, -2, -10, -2, -4, -8, 6, -1, -10, -6],\n [-4, -5, -2, -10, -5, 6, 2, 0, 2, 10],\n [1, -4, 6, -4, 6, -1, 0, 13, 12, 1],\n [-6, -12, 4, -7, 0, -10, 2, 12, 3, 4],\n [6, -6, 10, -4, -9, -6, 10, 1, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128955962647", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 10, 1, -8, 3, -4, -2, -4, -3, 6],\n [10, -12, 0, 8, 4, 3, -2, 2, -4, -2],\n [1, 0, -1, 6, 4, -8, -6, -2, -4, -8],\n [-8, 8, 6, -1, -1, 0, -2, -12, 11, 12],\n [3, 4, 4, -1, -12, -12, -4, -4, 0, 6],\n [-4, 3, -8, 0, -12, 10, 0, -8, -5, -4],\n [-2, -2, -6, -2, -4, 0, -12, 14, -2, -6],\n [-4, 2, -2, -12, -4, -8, 14, -12, 1, 5],\n [-3, -4, -4, 11, 0, -5, -2, 1, -8, 4],\n [6, -2, -8, 12, 6, -4, -6, 5, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8824364364", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-8, -1, 0, -7, -7, -12, 6, -2, -1, -2],\n [-1, 6, 6, -8, -4, 2, 0, -3, 6, 2],\n [0, 6, 5, -5, 6, 0, 6, 12, -6, 3],\n [-7, -8, -5, 3, -1, 4, 1, 6, 4, -8],\n [-7, -4, 6, -1, -1, -2, -7, 0, -1, -2],\n [-12, 2, 0, 4, -2, 10, -2, 0, 5, 6],\n [6, 0, 6, 1, -7, -2, -7, -1, 4, 4],\n [-2, -3, 12, 6, 0, 0, -1, 12, -9, -4],\n [-1, 6, -6, 4, -1, 5, 4, -9, -8, 8],\n [-2, 2, 3, -8, -2, 6, 4, -4, 8, -9]], determine the value at position (4, 9).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50120400", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[14, 10, 0, -2, 0, 4, 3, 4, 8, 4],\n [10, 11, 8, 10, 6, 2, -5, 10, 8, 4],\n [0, 8, -12, 4, 5, 5, 2, 0, -10, -8],\n [-2, 10, 4, 7, 6, 0, 4, -4, -4, 4],\n [0, 6, 5, 6, -4, 4, -2, -5, 5, 0],\n [4, 2, 5, 0, 4, -4, 12, -5, 8, -4],\n [3, -5, 2, 4, -2, 12, -5, 3, 2, -4],\n [4, 10, 0, -4, -5, -5, 3, -1, -4, 6],\n [8, 8, -10, -4, 5, 8, 2, -4, -8, -7],\n [4, 4, -8, 4, 0, -4, -4, 6, -7, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7708428845", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 4, 2, 4, 7, 0, -6, 0, -6, -2],\n [4, 4, 8, -1, -4, 4, -8, 8, 2, 6],\n [2, 8, -1, -4, -8, 6, -4, -10, 4, 0],\n [4, -1, -4, -1, 6, 0, 6, 0, 1, 6],\n [7, -4, -8, 6, -10, 8, -8, 4, 12, -10],\n [0, 4, 6, 0, 8, -9, 0, 11, -2, 0],\n [-6, -8, -4, 6, -8, 0, -3, -4, 3, 0],\n [0, 8, -10, 0, 4, 11, -4, 12, -6, 9],\n [-6, 2, 4, 1, 12, -2, 3, -6, 1, 0],\n [-2, 6, 0, 6, -10, 0, 0, 9, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12087700995163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -5, -4, 10, -4, -4, 2, 2, -5],\n [2, -11, 8, 8, 8, 7, 6, -1, 4, 3],\n [-5, 8, -9, 1, 4, 0, 10, 6, 1, 1],\n [-4, 8, 1, -1, 2, -2, 4, -14, 0, -7],\n [10, 8, 4, 2, -14, 2, -1, 10, 6, -4],\n [-4, 7, 0, -2, 2, -13, -6, 3, 4, -11],\n [-4, 6, 10, 4, -1, -6, 13, -6, -10, 2],\n [2, -1, 6, -14, 10, 3, -6, 0, -2, -2],\n [2, 4, 1, 0, 6, 4, -10, -2, 12, 0],\n [-5, 3, 1, -7, -4, -11, 2, -2, 0, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370584972182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-1, -2, -6, 0, 4, 7, -4, 12, 0, -4],\n [-2, -12, 2, -7, -1, 6, 2, 6, 12, 2],\n [-6, 2, -14, 9, -5, -9, -4, 0, 4, 3],\n [0, -7, 9, -1, 4, -6, -10, 6, -6, -3],\n [4, -1, -5, 4, -1, 2, 2, 0, 0, -6],\n [7, 6, -9, -6, 2, -11, -3, 10, 5, -11],\n [-4, 2, -4, -10, 2, -3, 11, -8, 1, 10],\n [12, 6, 0, 6, 0, 10, -8, -3, 2, 0],\n [0, 12, 4, -6, 0, 5, 1, 2, 14, 7],\n [-4, 2, 3, -3, -6, -11, 10, 0, 7, -14]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1640334629", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (9, 1) of the result:\nA =\n[[11, -4, -6, 2, 0, -5, 8, 2, 2, 2],\n [-4, -1, -4, 2, 9, -5, 12, -2, -2, 12],\n [-6, -4, 4, -2, 0, 0, -6, 4, -8, -8],\n [2, 2, -2, -4, -4, 6, -14, 5, 10, 8],\n [0, 9, 0, -4, -14, 0, -7, -4, -4, 2],\n [-5, -5, 0, 6, 0, 5, -1, -4, -2, 0],\n [8, 12, -6, -14, -7, -1, -9, 8, -8, -2],\n [2, -2, 4, 5, -4, -4, 8, 14, -2, -12],\n [2, -2, -8, 10, -4, -2, -8, -2, 14, -12],\n [2, 12, -8, 8, 2, 0, -2, -12, -12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6216678", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 8) of the matrix A^8 where A is:\n[[14, -4, 2, 0, -8, -1, 2, -4, -9, 2],\n [-4, 5, -4, 6, 5, -6, -8, 10, -11, -2],\n [2, -4, -8, 0, -2, 4, 4, -9, -7, 7],\n [0, 6, 0, -11, -12, -8, -4, 6, -10, 9],\n [-8, 5, -2, -12, 3, 4, 10, 0, 4, -2],\n [-1, -6, 4, -8, 4, 7, -4, 5, -11, -8],\n [2, -8, 4, -4, 10, -4, -3, 4, 7, -8],\n [-4, 10, -9, 6, 0, 5, 4, 14, 11, -4],\n [-9, -11, -7, -10, 4, -11, 7, 11, -6, 6],\n [2, -2, 7, 9, -2, -8, -8, -4, 6, -13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310749505498", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, 2, 2, 4, -6, 4, -8, 0, 3, -6],\n [2, -6, -10, -6, 1, 0, -2, 2, -10, -10],\n [2, -10, -7, 6, 2, -1, -2, 8, -2, -2],\n [4, -6, 6, -11, 10, -5, -2, 2, 2, -1],\n [-6, 1, 2, 10, -1, -12, -10, -6, -1, 3],\n [4, 0, -1, -5, -12, -3, 8, 9, -4, -6],\n [-8, -2, -2, -2, -10, 8, 1, 4, 8, 4],\n [0, 2, 8, 2, -6, 9, 4, 11, -4, 1],\n [3, -10, -2, 2, -1, -4, 8, -4, 0, 2],\n [-6, -10, -2, -1, 3, -6, 4, 1, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1031950255", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (10, 8) of the matrix A^8 where A is:\n[[-8, 0, 1, -4, 10, -4, -10, -13, -4, -6],\n [0, -3, 2, 4, 8, -8, -8, 0, 9, -8],\n [1, 2, 7, 0, 2, 0, -2, -6, 4, 4],\n [-4, 4, 0, 4, 0, 6, 4, 6, -6, 0],\n [10, 8, 2, 0, -11, 7, -2, -4, 6, -1],\n [-4, -8, 0, 6, 7, 1, 5, -2, -4, 6],\n [-10, -8, -2, 4, -2, 5, -4, -13, 1, 2],\n [-13, 0, -6, 6, -4, -2, -13, 10, 8, 0],\n [-4, 9, 4, -6, 6, -4, 1, 8, -1, 0],\n [-6, -8, 4, 0, -1, 6, 2, 0, 0, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52254066064", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[6, 10, -8, -2, -4, 4, 0, -12, 1, -4],\n [10, 5, -4, -5, -6, -11, 1, 6, -4, 4],\n [-8, -4, -8, -1, 2, -5, 6, 10, 14, 1],\n [-2, -5, -1, -13, -8, 6, 8, 2, -6, 8],\n [-4, -6, 2, -8, -5, 5, -8, 11, 10, -4],\n [4, -11, -5, 6, 5, 12, 2, -2, 5, 0],\n [0, 1, 6, 8, -8, 2, -13, 8, 6, 14],\n [-12, 6, 10, 2, 11, -2, 8, 4, 7, 2],\n [1, -4, 14, -6, 10, 5, 6, 7, 6, -2],\n [-4, 4, 1, 8, -4, 0, 14, 2, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3729714762", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, -8, -3, 3, 12, -9, -6, 1, -7, 11],\n [-3, 4, 8, 1, -11, 12, 5, 1, -8, 12],\n [-2, 8, -3, 12, -14, -4, 2, -9, -13, -12],\n [-13, 3, 9, 9, -2, 7, 4, 6, -8, 6],\n [1, 8, 1, -5, -8, 5, 1, -5, -1, 11],\n [7, -6, -11, 11, -3, 2, -7, -11, -7, 12],\n [-6, -3, 14, 13, 1, -7, 0, 2, -2, -1],\n [13, 0, 13, -6, 6, 9, 14, -3, 7, 8],\n [4, 10, -6, 11, -2, 14, 3, -11, 5, -14],\n [5, -12, 12, -4, -13, -9, -12, -5, 10, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228260743054", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-1, 2, 13, 4, 2, -5, 12, 6, -10, 0],\n [2, -13, 0, -7, -5, 12, -2, 3, -2, -2],\n [13, 0, 11, 12, 0, -4, 6, -12, 3, 0],\n [4, -7, 12, 9, 12, 10, 0, -2, -4, -4],\n [2, -5, 0, 12, -8, 10, 10, 3, -2, -12],\n [-5, 12, -4, 10, 10, -14, 2, 0, -8, 2],\n [12, -2, 6, 0, 10, 2, -7, -1, -6, 0],\n [6, 3, -12, -2, 3, 0, -1, 3, 1, -8],\n [-10, -2, 3, -4, -2, -8, -6, 1, 2, 9],\n [0, -2, 0, -4, -12, 2, 0, -8, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8065912158975", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-1, 2, -7, 2, 12, 2, -8, -6, -11, -5],\n [14, -11, 6, -10, -13, 0, 13, 10, 11, 10],\n [-6, -6, -14, 9, 9, -3, 14, -2, 5, -2],\n [-1, -5, 2, 2, -1, 2, 4, 11, -12, -11],\n [-4, 1, 14, -2, 3, -4, -4, -6, 11, 10],\n [11, 8, -13, -12, -1, 1, -7, 10, 1, -11],\n [-6, -11, -2, -13, 8, 10, 3, 9, 7, 10],\n [-10, 2, 6, -5, 8, 12, 8, -11, 11, -9],\n [7, 12, 11, -5, 2, -10, -8, -10, -7, -14],\n [10, -13, 1, -7, 6, 11, 0, 8, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6185628035", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (4, 4) of the result:\nA =\n[[12, -8, 2, 9, 14, -12, 14, 0, 14, -11],\n [-12, -4, -13, -8, 11, 0, -1, 6, -8, 2],\n [-5, 3, -1, -9, 14, 7, 4, -5, 2, 14],\n [4, 5, 2, -1, -8, 4, 9, 14, -8, -3],\n [-9, -7, -6, 3, -5, 10, 11, 6, 1, 2],\n [-14, -8, 7, 11, -6, -3, -14, 11, -5, -5],\n [-5, -8, 14, 9, 0, -5, 1, 1, 5, -14],\n [12, -4, 14, 4, 3, -12, 0, 13, -9, -5],\n [-12, -5, 14, 1, -11, -14, 7, 3, -11, -10],\n [6, -11, 4, 5, 4, -12, 5, -2, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-774980927", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, -2, 4, 2, 8, 2, 4, -2, 4, 1],\n [-2, 7, 0, 0, 5, 7, -4, 3, -2, 4],\n [4, 0, 4, -5, 13, -10, 8, -3, 3, -8],\n [2, 0, -5, 6, -4, 0, 12, 3, 4, -4],\n [8, 5, 13, -4, -1, 10, -1, 2, -2, 6],\n [2, 7, -10, 0, 10, 3, 7, -2, -4, -5],\n [4, -4, 8, 12, -1, 7, 14, -1, -8, -1],\n [-2, 3, -3, 3, 2, -2, -1, -2, -3, 4],\n [4, -2, 3, 4, -2, -4, -8, -3, -4, -6],\n [1, 4, -8, -4, 6, -5, -1, 4, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4622904056", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -8, 0, -6, -4, 6, 6, -2, 2, 6],\n [-8, 9, 1, 7, 9, 7, -13, -8, 6, -7],\n [0, 1, -2, 10, 2, 2, 4, 2, -11, -2],\n [-6, 7, 10, -7, 3, -10, 1, -2, -2, -2],\n [-4, 9, 2, 3, 7, 0, 1, -1, -2, -2],\n [6, 7, 2, -10, 0, 12, -4, -4, 5, -5],\n [6, -13, 4, 1, 1, -4, -4, 6, 4, -4],\n [-2, -8, 2, -2, -1, -4, 6, 2, 2, -4],\n [2, 6, -11, -2, -2, 5, 4, 2, 13, 2],\n [6, -7, -2, -2, -2, -5, -4, -4, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10203336724", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[8, -3, 2, 12, -9, 9, 7, -6, -5, -12],\n [-9, 11, -2, -1, -11, -5, 13, 4, 1, 9],\n [-8, 8, -10, -3, 0, -14, 7, -9, 4, -10],\n [-6, -8, 9, -6, 7, 1, -10, -5, 6, 6],\n [0, 0, -2, 5, 3, 8, -8, -7, -7, -4],\n [9, -6, -9, 5, -13, -10, 7, 8, 7, -11],\n [5, 0, -8, -14, 4, 11, 3, -13, 8, 6],\n [-2, 13, -1, -12, 1, 10, -1, 0, 10, -12],\n [-13, -12, -6, 14, -7, 4, 5, 6, 5, 13],\n [0, 12, -3, -1, 3, 12, 10, -13, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220940717841", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[10, 7, -3, 6, 12, -1, -6, -12, 8, 6],\n [7, -12, 7, 5, -2, 0, -10, -6, 10, 2],\n [-3, 7, 6, -2, 6, 4, -1, -8, 2, 6],\n [6, 5, -2, 4, -6, -1, 5, -5, -1, -8],\n [12, -2, 6, -6, -2, 2, -2, 2, 10, 2],\n [-1, 0, 4, -1, 2, 11, -2, -8, 2, 2],\n [-6, -10, -1, 5, -2, -2, -8, 2, -3, 5],\n [-12, -6, -8, -5, 2, -8, 2, -9, -4, -1],\n [8, 10, 2, -1, 10, 2, -3, -4, 10, 6],\n [6, 2, 6, -8, 2, 2, 5, -1, 6, -11]], determine the value at position (1, 9).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "802955051", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[3, -2, 1, -4, 2, 6, -10, 9, -8, -8],\n [-2, 6, 6, -2, 4, -10, -2, 0, 9, -9],\n [1, 6, 6, -2, -2, 6, 2, 6, 7, 4],\n [-4, -2, -2, -8, 5, 4, 10, 3, 0, 3],\n [2, 4, -2, 5, -7, 1, 0, 0, -10, -4],\n [6, -10, 6, 4, 1, 5, 12, 8, -12, -4],\n [-10, -2, 2, 10, 0, 12, 9, -8, -7, 10],\n [9, 0, 6, 3, 0, 8, -8, 3, 0, 8],\n [-8, 9, 7, 0, -10, -12, -7, 0, -11, 6],\n [-8, -9, 4, 3, -4, -4, 10, 8, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1558954007054", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[6, 9, 7, 9, 7, 14, 9, -3, -3, 5],\n [-5, -13, 0, 4, 6, -11, 6, -1, -14, -14],\n [13, 3, 0, -4, 3, 14, 9, -5, -11, -1],\n [7, 3, -14, 13, -8, -11, -11, 3, -6, -13],\n [-10, -9, -12, 12, 4, 7, 6, -10, 6, -6],\n [9, 5, -9, -10, 12, -9, 0, -4, 9, 7],\n [7, 3, 8, 13, 14, 13, 14, 4, -3, -3],\n [14, 14, -8, 1, -3, 6, -11, -5, 13, 2],\n [13, 0, -7, -1, 3, 11, -7, -1, 8, 1],\n [4, 12, -8, 2, -10, -2, 3, 3, 4, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6058389444", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, -4, -1, -2, 8, -10, -6, -4, -9, -2],\n [-4, -8, -10, -4, -2, -10, -2, 11, -2, 2],\n [-1, -10, -10, -13, -8, 4, 10, -3, -4, -10],\n [-2, -4, -13, 2, -4, 2, 2, 2, 2, 4],\n [8, -2, -8, -4, 7, 2, 6, 10, -7, 4],\n [-10, -10, 4, 2, 2, -2, 11, 6, 8, 10],\n [-6, -2, 10, 2, 6, 11, -11, 4, -4, -6],\n [-4, 11, -3, 2, 10, 6, 4, -12, -9, 0],\n [-9, -2, -4, 2, -7, 8, -4, -9, -11, -4],\n [-2, 2, -10, 4, 4, 10, -6, 0, -4, 4]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4218522974", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, -14, 0, -3, 1, 2, -6, -4, -4, 10],\n [-14, 0, 0, -1, -4, 2, 1, 4, -4, 7],\n [0, 0, 0, -4, -2, 8, 6, -3, 2, 7],\n [-3, -1, -4, -11, -2, 2, -3, 2, -9, 8],\n [1, -4, -2, -2, -14, -8, 7, 10, -6, 8],\n [2, 2, 8, 2, -8, 3, 8, 0, -5, 2],\n [-6, 1, 6, -3, 7, 8, -13, 12, 10, -10],\n [-4, 4, -3, 2, 10, 0, 12, 11, 2, 8],\n [-4, -4, 2, -9, -6, -5, 10, 2, -14, -2],\n [10, 7, 7, 8, 8, 2, -10, 8, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "946633852567", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 5) of the matrix A^7 where A is:\n[[10, -4, 11, 14, 5, 6, 7, 8, -10, -8],\n [-3, -13, -8, 6, 11, -10, 12, 7, -3, 10],\n [-11, 6, 6, 4, -12, 13, 2, -11, -6, -13],\n [14, -5, 5, 10, -6, -7, 3, -4, 4, 7],\n [3, 4, 2, 5, 12, 7, 2, 0, 13, 1],\n [2, -7, 8, -8, 8, 6, -11, 14, -8, -4],\n [-12, 10, -13, -14, 9, -9, -1, 14, -11, 1],\n [-5, 10, -10, 14, -4, -14, 2, -1, -8, -1],\n [14, -14, -9, -8, -4, -5, 6, -12, 4, 13],\n [-13, 12, -3, -3, -14, -1, -4, -7, 14, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "825225965", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[3, -2, 14, -11, 1, -12, -11, -11, -7, -4],\n [-12, 4, 13, -9, 12, -12, 6, -11, 12, -11],\n [-13, 1, 10, -10, 0, -10, 8, -3, 4, 0],\n [13, -9, -14, -10, 6, 10, 13, 6, 9, 4],\n [13, -4, 7, -1, -1, -13, 10, 7, -10, -6],\n [2, 4, 0, 14, -13, -6, -4, 7, 12, -9],\n [0, 6, 5, -11, 0, 3, -8, 1, 7, -12],\n [-3, -8, -6, -5, -14, -3, 12, 13, 11, 9],\n [3, -14, 10, 3, 8, -8, 2, -2, -5, -1],\n [-14, 8, -9, -11, 4, 0, 6, 6, 12, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11396732", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[7, -4, -6, -3, 8, 1, 1, 1, -8, -4],\n [-4, 4, 4, -1, -6, 6, 3, 2, -12, 0],\n [-6, 4, -13, -8, -4, 0, -4, 6, -1, -1],\n [-3, -1, -8, 6, -7, 4, -8, -2, -6, 2],\n [8, -6, -4, -7, 4, -7, -1, 1, -2, 0],\n [1, 6, 0, 4, -7, -2, 2, -10, -6, -3],\n [1, 3, -4, -8, -1, 2, 7, -8, 0, 7],\n [1, 2, 6, -2, 1, -10, -8, 2, -2, -10],\n [-8, -12, -1, -6, -2, -6, 0, -2, -12, 0],\n [-4, 0, -1, 2, 0, -3, 7, -10, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "957738808799", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[1, 6, -11, 8, 4, -6, 1, 4, -2, 7],\n [6, 12, 6, -13, -1, -5, 0, -5, 10, 2],\n [-11, 6, -3, 6, -4, -4, 6, 9, 1, -7],\n [8, -13, 6, -7, -1, -11, 8, 0, 2, 7],\n [4, -1, -4, -1, -2, 10, 8, -4, 1, -6],\n [-6, -5, -4, -11, 10, -3, -8, -1, 2, 1],\n [1, 0, 6, 8, 8, -8, 10, 2, 12, -2],\n [4, -5, 9, 0, -4, -1, 2, -14, -6, 0],\n [-2, 10, 1, 2, 1, 2, 12, -6, -3, -12],\n [7, 2, -7, 7, -6, 1, -2, 0, -12, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "863562902990", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 9) of the matrix A^8 where A is:\n[[-7, -2, -4, 6, -1, -9, 0, 4, -3, -4],\n [-2, 5, 13, 8, 5, -8, -4, 1, -3, -8],\n [-4, 13, 7, -5, -10, -8, -7, -2, 10, 8],\n [6, 8, -5, -8, 12, -1, 6, 2, 4, 6],\n [-1, 5, -10, 12, -9, -2, 0, -6, 0, 6],\n [-9, -8, -8, -1, -2, 8, -2, 5, 8, -8],\n [0, -4, -7, 6, 0, -2, -5, -4, 4, 1],\n [4, 1, -2, 2, -6, 5, -4, -11, 2, 11],\n [-3, -3, 10, 4, 0, 8, 4, 2, -12, -4],\n [-4, -8, 8, 6, 6, -8, 1, 11, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127162267744", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[3, -12, 11, -2, 2, -4, 6, -8, -5, 2],\n [-12, -7, 2, 8, 6, -2, -8, 4, 2, -9],\n [11, 2, 2, 11, 2, -10, 6, -4, -8, 0],\n [-2, 8, 11, -13, -10, -3, -2, -6, -5, -4],\n [2, 6, 2, -10, 2, -4, 4, 4, -2, -4],\n [-4, -2, -10, -3, -4, -2, -4, 0, 0, -12],\n [6, -8, 6, -2, 4, -4, 4, -2, -2, 6],\n [-8, 4, -4, -6, 4, 0, -2, -5, 10, 3],\n [-5, 2, -8, -5, -2, 0, -2, 10, 12, -14],\n [2, -9, 0, -4, -4, -12, 6, 3, -14, -8]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-291094810", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^6 where A is:\n[[-11, -1, 3, -4, -12, -12, 3, 8, -14, -2],\n [10, -10, -11, -12, 4, -2, 1, 4, -14, 3],\n [12, -8, -12, 7, 5, -5, 6, -7, -13, -5],\n [6, 3, -3, -1, 10, -13, 2, 5, -3, -8],\n [0, -13, 12, 11, 10, -3, 2, -14, -7, -10],\n [13, 13, 10, -7, 7, 5, -1, -9, 3, -10],\n [-5, 0, -12, -12, 2, -1, 12, 9, -5, 4],\n [1, 2, 5, -2, -14, -14, 2, 3, 13, 2],\n [-3, -9, -8, 2, 11, 1, -14, -4, -5, 10],\n [10, -14, -4, 9, -12, 8, 1, -14, -8, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28178921", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 3) of the result:\nA =\n[[2, 4, 13, -1, 8, 1, 2, -1, -6, 6],\n [-2, -13, 5, -7, -11, 11, -10, 0, -13, 6],\n [8, -6, -7, 11, -4, 7, -2, 10, -8, 4],\n [12, 0, -3, -2, -14, 6, 10, -7, 0, 7],\n [14, -1, -7, 9, -12, -3, 0, 7, 1, -8],\n [3, -2, 12, 8, 11, -9, -13, -13, 7, 4],\n [-9, 10, -5, 13, 2, 4, 1, 3, 12, 4],\n [-13, -12, 0, 0, -3, 5, -2, 8, -13, 3],\n [0, 3, -2, -9, -7, 1, 5, 13, 11, -12],\n [10, 2, 11, 3, -3, -8, -3, -12, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3434964488", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[0, 6, -4, 4, 6, -8, 1, -2, 2, 0],\n [6, 0, -6, -2, -10, -12, 0, -1, -4, 0],\n [-4, -6, 5, 0, 0, -4, 2, 3, -4, -10],\n [4, -2, 0, 0, 4, 0, 0, 5, -6, 4],\n [6, -10, 0, 4, 9, -4, 8, -2, 10, -4],\n [-8, -12, -4, 0, -4, 1, -10, -9, 7, 5],\n [1, 0, 2, 0, 8, -10, 13, -2, 0, -8],\n [-2, -1, 3, 5, -2, -9, -2, 2, -2, 2],\n [2, -4, -4, -6, 10, 7, 0, -2, 14, -4],\n [0, 0, -10, 4, -4, 5, -8, 2, -4, 10]], determine the value at position (1, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74644044", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[11, 7, 0, -1, -10, 14, 3, 14, -3, 12],\n [-9, 5, 6, 14, -4, 0, 7, 8, -11, 12],\n [9, -1, -10, 8, 7, 12, 12, 6, 8, -4],\n [5, -8, -2, 4, 9, 11, -11, 5, -3, -1],\n [-14, -7, 1, 6, 10, 4, -10, -1, -3, -3],\n [5, -3, -4, 0, -8, -5, -10, 0, -13, 7],\n [-2, -1, 5, -9, -14, 0, -4, -2, 13, 2],\n [-11, 8, -4, 8, -14, -1, 6, 7, -10, 8],\n [7, 6, -10, 10, -12, -6, -2, -4, 3, -5],\n [8, -9, 9, -6, -2, 7, 3, -5, 0, -3]], determine the value at position (9, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29609752587", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[5, 0, -1, 4, 4, 6, -5, -14, 10, 5],\n [-8, 8, 8, -4, 6, -11, -11, 14, 6, 7],\n [-5, 8, -10, 14, 1, 13, -3, 10, 10, -14],\n [-10, 3, -11, 12, 0, 8, 11, -9, -8, 4],\n [-1, 0, 6, 1, 7, 0, 12, -9, -9, 10],\n [-9, -3, -13, 10, -11, 8, -9, 10, -5, 14],\n [4, 9, -10, -9, -1, 0, 4, 4, -8, 7],\n [3, 11, 14, -3, -7, 13, 6, 8, -12, 0],\n [-5, 6, 13, 4, -3, -12, 13, -1, 2, 12],\n [-12, -8, 12, 10, 2, 0, 5, -5, -8, 7]], determine the value at position (5, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23669225461", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 9) of the result:\nA =\n[[5, 5, -11, 5, 0, -2, 0, -8, -4, -4],\n [5, 5, 7, -6, -2, -9, 2, 0, 12, -8],\n [-11, 7, 8, -4, -2, -10, -2, -13, -2, 2],\n [5, -6, -4, 2, -4, -6, -10, -8, 4, 2],\n [0, -2, -2, -4, 12, 12, -8, 4, -7, 12],\n [-2, -9, -10, -6, 12, -9, 0, -6, 3, -11],\n [0, 2, -2, -10, -8, 0, -7, 8, -1, 8],\n [-8, 0, -13, -8, 4, -6, 8, -10, -10, 10],\n [-4, 12, -2, 4, -7, 3, -1, -10, 9, -10],\n [-4, -8, 2, 2, 12, -11, 8, 10, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5534494335", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[1, -4, 4, 3, 11, -14, 6, -11, 11, -6],\n [-6, -4, -10, 6, -9, 5, 14, -9, -7, 13],\n [6, 9, 9, 4, 7, -14, -10, 8, 6, 4],\n [-13, 13, 1, -13, -6, 3, 1, -8, -6, -3],\n [4, 8, -14, 13, -9, 12, -13, 11, 2, 6],\n [-1, -2, 7, -4, 1, 3, 5, -12, -14, -1],\n [2, -12, -3, -13, -13, -3, 11, 6, -10, 13],\n [8, 1, -10, -12, 11, -9, 4, -3, -7, -9],\n [-1, 8, 14, -12, -4, -8, -6, 9, -4, -2],\n [3, -5, 11, 14, -13, -8, 0, -5, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3523950493543", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 10) of the 6th power of the matrix:\n[[10, -4, 4, 1, -4, -4, 1, -2, 2, 2],\n [-4, -13, -6, -3, 6, -2, -2, 1, 0, -2],\n [4, -6, 12, 0, 2, 0, -4, 0, -2, -2],\n [1, -3, 0, 3, 2, -1, -4, 2, -2, -8],\n [-4, 6, 2, 2, 12, -3, -9, 2, 12, 0],\n [-4, -2, 0, -1, -3, -10, 10, -2, 5, 5],\n [1, -2, -4, -4, -9, 10, -13, 0, -6, -12],\n [-2, 1, 0, 2, 2, -2, 0, -5, -6, -6],\n [2, 0, -2, -2, 12, 5, -6, -6, 14, 4],\n [2, -2, -2, -8, 0, 5, -12, -6, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-316224345", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[3, 3, 11, 12, -11, -12, 12, 13, 7, -5],\n [14, 1, -12, 4, 5, 0, -10, -4, -6, -2],\n [-4, 6, -1, -14, -6, -2, -13, 14, -11, 1],\n [-5, -9, -6, -13, 10, 10, -14, -3, 13, 12],\n [7, 13, 7, 10, 7, 14, 1, -13, -2, -7],\n [-14, -10, -5, -12, -4, 7, 13, -10, -3, -3],\n [-2, 14, 11, 14, 14, -1, -11, -12, 2, -7],\n [1, -4, -10, 1, 9, -6, -2, -7, 7, 11],\n [9, -10, -6, -9, -13, -8, 2, 11, -3, -14],\n [13, 0, 9, 13, 6, -4, -5, 1, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199591620487", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[7, 0, 14, 1, -14, -9, -2, -14, -2, -10],\n [-12, -3, 11, -5, -6, 2, -9, -1, -12, 10],\n [3, 13, 12, -8, -6, 0, 4, 1, 4, 4],\n [2, 14, 10, 10, -9, 10, 10, -14, 4, 0],\n [-12, 2, -9, -11, -7, 7, -11, 6, 13, -13],\n [-5, -3, -14, -3, 8, -5, -3, 4, 14, -12],\n [7, 4, 8, -8, 6, -14, -2, -6, 1, 3],\n [0, 5, 0, 0, -5, 11, 3, 0, -3, -14],\n [-2, 2, 2, -8, -4, -3, -6, 0, -14, 11],\n [7, -4, -10, 4, 3, 3, 3, 8, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "594186365", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-1, 1, 0, 5, 2, 9, -2, -6, 4, 6],\n [1, -8, 0, -8, 9, 12, 3, 4, 0, -2],\n [0, 0, 4, -4, -4, 8, -4, -4, 10, 4],\n [5, -8, -4, 1, -6, 7, 3, 6, -4, 2],\n [2, 9, -4, -6, 13, -6, -2, -4, -6, 8],\n [9, 12, 8, 7, -6, 6, -7, 5, 1, -2],\n [-2, 3, -4, 3, -2, -7, 7, 5, 0, 3],\n [-6, 4, -4, 6, -4, 5, 5, -12, -5, -8],\n [4, 0, 10, -4, -6, 1, 0, -5, 4, -11],\n [6, -2, 4, 2, 8, -2, 3, -8, -11, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5220167310", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, 5, 1, 8, 6, -2, 7, 2, 10, -4],\n [5, -1, -5, 6, 9, -4, 0, 2, 6, 8],\n [1, -5, -8, -8, 8, 9, 3, -13, -2, 10],\n [8, 6, -8, -7, 0, 4, -2, 3, -2, 3],\n [6, 9, 8, 0, -1, 11, 4, 0, 7, -8],\n [-2, -4, 9, 4, 11, 8, -11, 2, 12, 6],\n [7, 0, 3, -2, 4, -11, 1, 0, -2, 9],\n [2, 2, -13, 3, 0, 2, 0, 1, 9, 3],\n [10, 6, -2, -2, 7, 12, -2, 9, -3, 1],\n [-4, 8, 10, 3, -8, 6, 9, 3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4632861732", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, -14, 14, -14, 13, -14, -6, 6, -1, 13],\n [3, 12, -14, 5, -4, -13, 4, -13, 9, 4],\n [-13, -9, 8, 0, 10, -4, 11, 1, 5, 6],\n [12, 7, -12, -12, 4, 6, -4, -9, 10, -6],\n [13, -10, 9, -8, 5, -14, -12, -4, 11, 6],\n [-5, -2, 14, -12, -4, 5, -6, 10, -4, -6],\n [-2, -6, -1, 1, 13, 2, 10, 0, 13, 13],\n [-4, -3, -4, 14, 3, 9, 10, -3, -7, 10],\n [6, -5, 13, 8, 12, -12, 5, -11, -2, 11],\n [5, 12, -7, -13, 13, -13, 6, -9, 5, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1452052105767", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 11, -11, -7, 3, -5, 5, -4, -8, -10],\n [11, -4, 3, 1, 4, 5, -10, -8, -12, 10],\n [-5, 4, -10, 14, -10, 8, 7, -4, 4, -3],\n [2, 7, 12, 7, 5, 0, 3, -6, 7, 14],\n [2, 9, 11, 8, 12, -4, -9, -3, -4, 12],\n [2, -5, -2, -10, -11, -8, 0, -13, 2, 8],\n [9, 6, -7, 1, 5, 9, 12, -12, 8, 7],\n [2, -10, -1, -1, -1, -4, 13, 5, -2, 7],\n [-6, 5, -13, -3, -7, 1, -14, 1, -9, 5],\n [-9, -12, -6, 4, -12, 6, -8, -1, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4752652820", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (9, 6) of the result:\nA =\n[[8, 6, 0, -10, -10, 4, 6, -1, -6, 4],\n [6, -6, -8, -8, -10, -2, 10, 2, 2, 10],\n [0, -8, -1, 5, 8, -4, -1, -2, 6, 2],\n [-10, -8, 5, 7, 0, -8, 8, 5, -10, 2],\n [-10, -10, 8, 0, 4, -6, 6, -2, 4, 0],\n [4, -2, -4, -8, -6, 9, 0, 1, 11, 0],\n [6, 10, -1, 8, 6, 0, 1, -4, -10, 1],\n [-1, 2, -2, 5, -2, 1, -4, 12, -6, 12],\n [-6, 2, 6, -10, 4, 11, -10, -6, 13, 1],\n [4, 10, 2, 2, 0, 0, 1, 12, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15456364925", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[11, -3, -8, 13, -8, -6, 1, -4, -6, 3],\n [-3, 10, 2, 12, -7, -2, 6, -10, 0, 2],\n [-8, 2, 5, 12, -3, 2, 0, -2, -4, -5],\n [13, 12, 12, 4, 4, 4, 0, 0, -4, 2],\n [-8, -7, -3, 4, 12, -6, 10, -3, 0, 9],\n [-6, -2, 2, 4, -6, 6, 2, 11, -12, 4],\n [1, 6, 0, 0, 10, 2, -1, 5, 4, 2],\n [-4, -10, -2, 0, -3, 11, 5, 14, -6, -10],\n [-6, 0, -4, -4, 0, -12, 4, -6, 3, -6],\n [3, 2, -5, 2, 9, 4, 2, -10, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1521860314074", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[-12, 2, -6, 0, -7, -11, 4, -13, -13, -2],\n [12, 4, -14, 13, 11, 8, 0, -13, 13, 1],\n [7, 13, -1, -9, -4, -1, 5, -11, 2, 1],\n [12, -9, -7, 14, -2, 11, -11, 1, 2, -11],\n [1, -13, 5, 9, -2, -12, 13, 14, 6, -5],\n [12, 3, 10, -12, -14, 8, -4, -10, 10, -12],\n [-4, -14, 0, -8, 9, 12, -13, 0, 3, 10],\n [14, -11, -14, -6, -6, 7, -9, -1, -6, -13],\n [-6, -2, 5, 5, 14, 10, 8, -3, -5, 13],\n [-10, 9, -3, 14, -14, 8, -11, -2, 3, -13]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29854810683", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-4, 1, 10, 0, 3, -9, -4, 0, 4, -12],\n [1, -1, 0, -9, -10, 0, 8, 9, 8, 4],\n [10, 0, -1, 2, 4, 2, -2, 9, -10, -8],\n [0, -9, 2, 14, 2, 8, 10, 0, 2, 0],\n [3, -10, 4, 2, -12, -2, -6, 8, -8, -2],\n [-9, 0, 2, 8, -2, -3, 4, 8, 2, 12],\n [-4, 8, -2, 10, -6, 4, -3, -2, 5, 2],\n [0, 9, 9, 0, 8, 8, -2, 5, -7, -4],\n [4, 8, -10, 2, -8, 2, 5, -7, 5, -2],\n [-12, 4, -8, 0, -2, 12, 2, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9329384172", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-5, 9, 3, -8, 8, 3, 14, 7, 6, -13],\n [10, -7, 8, 0, -9, 6, -2, 10, -10, 14],\n [7, -12, 10, 0, 12, 9, -6, 2, 2, -2],\n [3, 5, 11, -10, -2, -8, -11, -2, 2, -7],\n [12, -12, 10, 1, -13, 12, -14, 11, -7, -12],\n [2, 12, 4, 9, 1, 12, 5, -5, 12, 8],\n [9, 0, -8, 1, 2, 5, -2, 14, -5, -6],\n [-8, -3, -14, 9, 1, -11, -1, 13, 8, 14],\n [7, 8, 11, 11, 2, -3, 0, 7, -3, -12],\n [-5, 5, 2, -1, -2, -2, 11, -7, -1, -13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7137257739453", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, -2, 0, -4, 0, -3, -1, 8, 6, 3],\n [-2, -7, -12, -3, -3, -6, 2, 8, 0, 2],\n [0, -12, 2, 2, -8, -1, -12, 6, 0, -1],\n [-4, -3, 2, -7, -10, 0, -2, 4, -6, -9],\n [0, -3, -8, -10, -13, -1, -4, -4, -2, -2],\n [-3, -6, -1, 0, -1, 4, -4, 0, -8, -7],\n [-1, 2, -12, -2, -4, -4, 12, -2, -3, -9],\n [8, 8, 6, 4, -4, 0, -2, 11, -2, -1],\n [6, 0, 0, -6, -2, -8, -3, -2, 9, 8],\n [3, 2, -1, -9, -2, -7, -9, -1, 8, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124628691582", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 8) of the 6th power of the matrix:\n[[7, -5, 14, -11, 0, -6, -3, 13, -7, 9],\n [-10, 1, 7, 0, 2, -14, 10, -3, 5, 4],\n [-10, 0, -6, 10, -12, -3, 8, 4, 0, -12],\n [5, 3, 7, 1, 0, -10, -5, -5, -2, 3],\n [13, -5, 1, -13, 3, -11, 4, 10, 14, -10],\n [13, 2, -13, 0, 8, 9, -9, 14, 8, 3],\n [-1, -3, -9, 13, 7, 5, 12, 5, 3, -12],\n [11, -9, -11, 4, 2, 13, -4, -1, 12, -4],\n [14, 4, 2, -11, -3, -11, 12, -3, 2, 0],\n [-8, 6, -14, -10, -3, -8, 7, 11, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321060366", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (6, 7) of the result:\nA =\n[[9, -6, -14, -9, 1, 0, -13, -2, 9, -10],\n [1, -14, 6, -5, 1, -2, 6, -13, -11, 14],\n [7, -14, -4, -6, 8, -9, -14, -7, -7, -11],\n [-11, -14, 14, 10, -7, 14, 11, 8, 3, 8],\n [5, 4, -4, 13, 11, 5, -5, 14, -9, -8],\n [-13, 8, 11, 3, 12, 3, 2, -2, 0, -4],\n [-8, 2, 4, 12, -7, 2, 1, 13, -1, 7],\n [13, 3, -6, 3, 7, 5, 10, 1, 2, 2],\n [1, 11, 4, -4, -9, 4, -8, -6, -3, 11],\n [-13, -11, -12, 7, 6, -3, -12, -6, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81865329", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) of the matrix A^7 where A is:\n[[4, 8, 2, -2, -12, -4, -4, 6, 9, -2],\n [8, 11, -1, -6, -3, 12, -4, -13, 8, -4],\n [2, -1, -13, 4, 1, 2, 10, -6, -9, 0],\n [-2, -6, 4, -10, 1, 4, 1, 2, -4, -12],\n [-12, -3, 1, 1, -2, 1, 3, 8, 2, -1],\n [-4, 12, 2, 4, 1, -7, -2, -5, 3, -3],\n [-4, -4, 10, 1, 3, -2, -8, -10, 8, -6],\n [6, -13, -6, 2, 8, -5, -10, -12, 0, -5],\n [9, 8, -9, -4, 2, 3, 8, 0, -5, -12],\n [-2, -4, 0, -12, -1, -3, -6, -5, -12, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5126528989", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[6, 4, -6, 2, 6, 1, 0, 1, 4, -10],\n [4, -1, -1, 4, 6, -2, 4, 1, -6, -6],\n [-6, -1, -2, 7, 1, 2, 0, -2, -2, -12],\n [2, 4, 7, 6, 4, -2, -8, 0, -9, -2],\n [6, 6, 1, 4, 9, -6, 6, -2, -2, 4],\n [1, -2, 2, -2, -6, 0, -8, -6, -6, -3],\n [0, 4, 0, -8, 6, -8, 6, 0, 10, -8],\n [1, 1, -2, 0, -2, -6, 0, -9, 4, 0],\n [4, -6, -2, -9, -2, -6, 10, 4, -11, 2],\n [-10, -6, -12, -2, 4, -3, -8, 0, 2, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34030292283", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 7th power of the matrix:\n[[9, 5, -14, -11, 3, -10, -14, -14, -10, 3],\n [-6, -5, -8, 0, -1, -11, -1, -8, -7, 9],\n [-7, 13, -10, 8, -4, 8, -13, 0, 4, 12],\n [3, 0, 4, 10, -8, -11, -1, -7, 14, 8],\n [-5, -2, -9, -11, -10, -5, 9, -2, 4, -4],\n [13, 4, -10, 10, -10, -14, 6, -6, -8, -6],\n [11, -5, 6, -12, 3, -6, -10, -4, 14, -14],\n [-13, 3, 13, 5, -1, 7, -7, 14, 14, 4],\n [-1, 11, -1, 11, 7, 5, -7, -6, 10, -1],\n [-3, -2, -9, -1, 0, -13, 3, -5, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2597291136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-8, 7, 10, -10, -7, 5, -2, -8, 10, 3],\n [-6, -3, 9, 11, 2, -5, -8, 13, 6, -10],\n [8, 0, 1, 12, 1, -5, -1, 5, 2, -9],\n [-14, -4, -14, -3, 9, 5, 0, -10, -5, 11],\n [2, -5, -8, 12, 3, -9, -6, -13, 7, 13],\n [-3, -10, 0, -2, 14, 14, -13, 0, -1, -6],\n [1, -13, -14, 10, -6, 10, 9, 5, -1, 10],\n [-13, -14, 13, -5, 8, 7, 4, 3, 9, 5],\n [7, 5, 14, -4, -6, 0, 13, 1, -2, 6],\n [-9, 10, 0, 0, 7, 3, -4, -14, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312873013870", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-13, -13, 5, 11, -5, 1, -12, -1, 8, -8],\n [4, 4, 10, 8, 4, -12, -2, 4, 10, -1],\n [-7, 14, 8, -7, 2, 10, 6, 14, -10, -10],\n [10, 6, -13, 7, 8, -4, 0, 8, -8, -4],\n [-13, -9, -6, 2, 4, -3, -9, 1, 8, -13],\n [11, 9, -4, 0, 14, -9, 13, 10, -6, -6],\n [10, 3, 11, -2, 11, 14, 8, -10, 10, 2],\n [11, 8, 11, 6, -4, -6, 8, 5, 12, 9],\n [-6, -6, -5, 5, -9, -11, -14, -9, 9, -9],\n [14, -3, -12, -2, 9, -5, -6, 2, -4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3687071047338", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 2) of the 8th power of the matrix:\n[[-9, -5, 9, 3, -1, -11, -2, -14, 5, -13],\n [-12, 5, -12, -9, 14, -8, -4, -8, 2, 6],\n [4, -3, -14, -14, 3, -5, 9, 5, 11, -12],\n [-1, -7, 1, 3, -6, -11, 12, 10, -14, 6],\n [11, 8, -1, -4, -11, 13, 13, 6, 1, 12],\n [-6, 7, 14, -1, -9, -13, -14, 5, 11, 4],\n [12, 8, -8, 7, 0, -10, -12, 0, -11, 14],\n [-10, -11, -12, -13, -10, 3, -13, 0, 3, 3],\n [-7, -3, 8, -6, 4, -14, 7, 10, 14, 2],\n [-14, 5, 11, 2, 10, -9, -10, 12, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6484262943", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 1) of the result:\nA =\n[[-4, -4, -3, -3, -13, -12, 13, -8, 5, -1],\n [7, 1, 9, -1, 2, 0, -4, -2, -9, 2],\n [-3, 13, 13, 9, -11, 6, -5, 3, 4, -8],\n [8, -3, -4, 9, 14, -12, -13, -13, 7, -13],\n [12, 0, -11, 10, 11, -12, 2, -13, 11, 14],\n [-5, -8, -6, 10, 5, 0, -7, 2, 12, -4],\n [1, 7, 9, 3, 9, -11, 3, 5, -7, 0],\n [-2, -11, 14, -1, 0, 0, 9, 8, -10, 9],\n [0, 3, -12, 5, -5, -10, -10, 0, -14, -14],\n [1, 13, 12, 2, -1, 0, -1, 6, -13, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162604481", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[9, -3, 11, 9, 13, 11, -13, -7, 12, -3],\n [-6, 11, -1, 11, -9, 2, -4, 12, 4, 6],\n [-2, -12, -12, 10, 6, -1, -7, -8, -11, -12],\n [4, 12, -13, -10, -3, -13, 3, 0, 1, -3],\n [-3, 13, -11, 7, 13, 7, -7, -4, 7, 7],\n [-11, -3, 6, 12, 8, -5, 12, -6, 1, -11],\n [11, 2, 7, 3, 12, -8, 7, -6, -9, 7],\n [5, 13, 10, -12, 0, -14, 12, 11, 9, 9],\n [12, 2, -6, -13, -9, 10, 1, -2, -9, 8],\n [0, 10, -10, 2, -6, 11, -2, -8, 1, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58103191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[3, -10, -2, 9, 8, -8, 5, -2, -13, 11],\n [4, -1, -1, -6, -11, 2, 11, 5, 14, 1],\n [9, -7, 11, 0, 11, 3, -5, -11, -8, 9],\n [2, -7, -14, 7, 6, -5, 0, 8, -9, -5],\n [-14, -9, -2, -12, -3, 0, 7, -8, -9, -6],\n [1, -3, -6, -7, -10, 11, -12, -11, -4, -5],\n [-7, -6, -2, 9, 11, 4, 8, -4, 9, -12],\n [-14, 8, -1, 4, -14, 8, 12, -3, -1, 0],\n [-8, -11, -1, 3, 1, 11, -1, 6, -4, 12],\n [10, -9, 0, -5, -3, -6, 13, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350687254806", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-9, 8, -2, 10, -2, -2, 2, 2, 4, -4],\n [8, -3, 2, 8, 8, -6, -4, 2, -6, 7],\n [-2, 2, -9, 6, -8, 0, -5, 6, 0, -4],\n [10, 8, 6, -6, 3, 3, -2, 11, -4, -2],\n [-2, 8, -8, 3, 2, -6, -9, 3, 0, 1],\n [-2, -6, 0, 3, -6, 9, -8, -2, 8, 2],\n [2, -4, -5, -2, -9, -8, 9, 3, 9, -5],\n [2, 2, 6, 11, 3, -2, 3, 6, -4, -2],\n [4, -6, 0, -4, 0, 8, 9, -4, 7, -2],\n [-4, 7, -4, -2, 1, 2, -5, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172761610562", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-5, 13, 6, 2, -10, 3, -6, -10, 4, -13],\n [13, -5, 11, 0, 4, -4, -8, 5, -6, 0],\n [6, 11, 0, 4, -6, -2, -2, 3, 1, -7],\n [2, 0, 4, 11, 4, -4, -12, 8, 0, -10],\n [-10, 4, -6, 4, 4, 8, -11, -6, -2, -4],\n [3, -4, -2, -4, 8, 11, -2, 2, -2, 12],\n [-6, -8, -2, -12, -11, -2, 5, 6, 1, 2],\n [-10, 5, 3, 8, -6, 2, 6, 6, 0, -11],\n [4, -6, 1, 0, -2, -2, 1, 0, 7, 0],\n [-13, 0, -7, -10, -4, 12, 2, -11, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65083726050", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[4, -6, -14, 3, -8, 13, 3, -5, 12, 5],\n [-13, -4, 3, -4, -1, -2, -14, 10, -5, 0],\n [4, 14, 2, -5, 7, -7, 8, -8, 3, 12],\n [-11, -9, -13, -2, 6, -3, -10, 4, -13, -4],\n [8, -7, -11, -11, -4, -1, -6, 5, 11, -1],\n [13, -12, 12, -2, -1, 2, -12, 0, 6, 14],\n [-13, 6, 10, -5, 12, 7, 0, 4, 6, -3],\n [2, 1, -7, 10, -10, 10, 9, 0, -7, 3],\n [6, 13, -7, 4, 2, 12, -11, -11, 11, 5],\n [5, -6, 12, -1, -14, -6, 8, -2, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99613287224", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-5, 13, 11, 11, -11, 12, 0, -11, 5, -4],\n [-3, -2, -13, -7, -11, -6, -13, 8, -10, -10],\n [8, -11, 4, -6, -3, -12, -10, -13, 8, -2],\n [13, 12, -8, 13, 6, -7, 10, 14, 5, -4],\n [-3, 3, 3, 12, 14, 1, 5, 7, -9, 3],\n [2, 3, 9, 6, -12, -6, 13, 13, -8, 9],\n [7, -8, 4, -14, -14, -14, -4, 12, 13, 8],\n [3, -2, 13, 7, 0, 2, -5, -7, 6, -6],\n [4, 3, -7, 12, -10, -1, -2, -14, -4, -3],\n [-9, -3, -12, -7, 14, 7, -13, -9, -12, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340727639736", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 10) of the result:\nA =\n[[1, 2, -3, 0, -1, -14, 11, -3, 5, 8],\n [5, -1, 1, 10, 0, -7, 6, -14, -2, -12],\n [9, -3, -8, -7, 2, 3, -5, 0, 8, 6],\n [6, 13, 14, -5, -6, -14, 6, 8, -10, 0],\n [-1, 11, -4, 8, 2, 6, -1, -9, 7, -11],\n [-2, 6, 9, 7, 2, 6, -3, 8, -3, 9],\n [-11, -13, 5, -9, -9, 7, -14, -4, 8, 8],\n [14, 6, 14, -3, -11, 13, 1, 12, 4, 12],\n [-4, -4, -2, -2, -7, -4, 1, -2, 9, -12],\n [12, -4, 6, -7, -5, 11, 7, 3, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2792400328", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, 0, 2, -3, 0, 4, 4, -2, 6, -4],\n [0, -4, -2, 4, -7, -6, -5, -4, -1, -13],\n [2, -2, -2, -7, -10, 6, 0, -12, -4, -4],\n [-3, 4, -7, 11, -8, 6, 6, 4, 6, 1],\n [0, -7, -10, -8, 4, 6, 6, -8, -7, -10],\n [4, -6, 6, 6, 6, -4, -6, 4, -11, 0],\n [4, -5, 0, 6, 6, -6, 2, -4, -2, 5],\n [-2, -4, -12, 4, -8, 4, -4, -3, -4, -9],\n [6, -1, -4, 6, -7, -11, -2, -4, 1, -8],\n [-4, -13, -4, 1, -10, 0, 5, -9, -8, 7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "448781344869", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[4, 8, -6, -4, -11, 9, -5, -9, -12, -2],\n [4, -12, 5, 3, -3, -3, 6, -3, 9, 13],\n [14, -8, -6, -3, 4, -11, 9, -5, 12, 4],\n [2, 3, -5, 11, 9, -3, 8, 5, -7, 4],\n [-14, -11, -9, 7, -11, 1, -7, -6, 0, 3],\n [-12, 13, 9, 2, -14, -8, -5, 0, 8, -2],\n [8, 14, 14, -10, 13, -8, -1, -1, -6, 7],\n [-9, 4, 0, 1, 8, 7, -3, 6, -12, -12],\n [-9, 7, 6, 4, -3, 1, 3, -11, 5, 11],\n [-2, -2, -13, 13, -6, 12, -4, -12, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4552613580", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-10, -1, 11, 4, 7, 2, 11, -11, -14, 2],\n [-5, -7, 11, -4, 5, -5, 4, -9, -4, 1],\n [-5, 10, 7, -14, -7, 2, 4, -6, 5, -7],\n [-6, 1, -1, 9, -9, -6, -4, 7, 0, 0],\n [-10, -7, 5, -12, 5, 13, 10, -11, -8, 2],\n [-3, -9, 9, 8, 6, -11, 3, 1, -14, 14],\n [2, -10, 10, 8, 3, -9, 11, 8, -2, -7],\n [12, 10, 4, 13, 1, 3, -8, 9, -6, 11],\n [13, 6, 10, -14, -6, 14, -5, 6, 3, 7],\n [-14, -2, -1, 8, -8, 13, 14, 11, -7, -14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8625550923412", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the 7th power of the matrix:\n[[-13, -4, -14, 9, -3, -7, 13, -12, -5, 0],\n [-3, -13, 10, -10, -6, 3, -9, -4, -1, -14],\n [8, -11, -8, -6, 2, 2, -4, 8, 11, 12],\n [-3, 0, -13, -7, 5, 8, 11, -13, 9, -9],\n [-14, 10, 12, 3, -11, 10, -7, -7, -1, 5],\n [-1, -14, 11, 5, -12, 0, 12, 4, -14, 10],\n [-12, 5, -14, 4, 2, -2, 5, 1, 11, -3],\n [-8, 11, 12, 9, 9, 2, -4, 7, -7, -5],\n [1, 14, -5, 9, 10, -7, -10, 2, -2, 10],\n [-5, -5, 11, 11, 6, 8, -3, -3, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-491751231", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[5, 9, 12, 11, 10, -3, -11, 3, -5, 5],\n [-13, 13, -14, -1, 2, 12, -11, 10, -6, -8],\n [6, 7, 2, -12, -14, -5, -10, -11, 4, -9],\n [-9, -6, 5, -6, 14, 0, 5, -7, 9, -13],\n [-5, -1, 13, 9, -13, 12, 9, 7, -2, 4],\n [13, 12, 14, 14, -8, -3, -9, -12, -10, -11],\n [-1, 14, -9, 2, 2, 9, -2, 9, -3, 10],\n [14, 9, -13, -1, 12, -10, -7, 0, -6, 1],\n [-2, 7, 0, -11, 10, 1, -3, 5, 7, -3],\n [0, -10, -14, 5, 11, -12, -7, -8, -2, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "624996527", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[2, -4, -7, 8, 0, -3, 3, -5, -3, -11],\n [0, 3, 10, -2, 9, 2, -14, 9, -10, 2],\n [12, 5, 3, 14, -6, -5, 7, 12, 10, 2],\n [-14, 12, -11, 3, 0, 0, -14, 7, 9, -14],\n [-4, -4, 11, 11, -9, -14, -1, 9, -9, 2],\n [-6, 2, 10, -1, 4, -7, 9, 8, -3, -13],\n [-12, 6, -2, -10, 3, -14, -10, 6, -3, 4],\n [9, -9, -13, -13, 5, -2, -1, -9, -3, 10],\n [-2, 9, -7, -1, 3, 12, -11, -9, 7, 13],\n [11, -9, 0, 9, 9, -2, -8, -2, 6, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10837627926", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (9, 3) of the 7th power of the matrix:\n[[-9, -1, -12, -4, -2, -12, -3, 8, 7, 6],\n [12, 7, 7, 5, 13, 12, -10, -2, 8, 12],\n [-4, 2, 13, 14, -5, -3, -9, -10, 7, -14],\n [5, 9, 5, 0, 1, 14, -5, 9, 12, -7],\n [-13, 7, -8, 8, -14, 5, 8, -9, -2, -3],\n [4, 11, 11, 2, -10, 12, 9, 0, -1, -12],\n [-10, 10, -1, -7, -4, 10, 0, -2, -10, -2],\n [-12, -2, -4, -6, -11, 2, 0, 12, 3, 1],\n [9, -13, -9, -3, -10, 10, 9, 2, 4, -3],\n [-10, 13, 9, -8, -13, -3, 8, -10, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1284642482", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (5, 4) of the result:\nA =\n[[-10, 1, -6, -14, -10, -14, 2, -14, 0, -10],\n [-6, 3, -9, 6, -3, -1, -8, -8, 4, -9],\n [-12, 1, 1, 3, -10, 5, 14, -11, 1, -11],\n [9, -2, -1, 2, -12, 10, -12, 2, -2, 6],\n [5, -5, 14, 9, 12, -3, 12, -6, 11, 6],\n [-14, -11, 4, -9, 0, 3, -10, -7, -4, -10],\n [6, -7, -4, 6, 5, -5, -6, -13, 2, -11],\n [11, -3, 4, 10, 4, 4, 11, 14, -8, -2],\n [13, -13, 12, -7, -9, 13, -4, 13, -6, -7],\n [5, 9, 5, 12, 0, 6, 12, 11, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184769065", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[8, 7, -10, 1, -13, 0, -10, 0, 11, 8],\n [-4, 14, -9, -9, -10, 10, -14, 5, -8, 1],\n [2, 14, 13, 12, 0, 5, 7, -5, -7, 8],\n [13, -6, 8, 4, -5, 5, -12, 10, -4, -4],\n [-7, -5, 14, -6, -5, -5, 3, -10, -10, -8],\n [5, 5, -7, 2, -9, 10, -2, -2, -2, 1],\n [-13, -10, -5, -5, 10, -4, 13, 5, 10, 9],\n [-6, -2, -2, 14, -13, 11, -10, 11, 10, -10],\n [-3, 5, -7, -9, 3, -7, 13, 6, 8, 5],\n [10, -13, 13, -5, 10, 5, -9, -10, 1, -12]], determine the value at position (1, 9).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170765402995", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 5) of the result:\nA =\n[[8, -11, -14, -1, -1, 9, 4, -9, -3, 3],\n [-6, 5, 8, 10, -2, 12, 4, -2, 4, 4],\n [6, -5, -9, -12, 11, 1, -6, 2, 8, 12],\n [-6, -10, 4, 14, 0, -5, -11, 9, -3, -1],\n [0, 4, -10, -3, -12, 0, 0, -3, 0, -9],\n [13, 2, 8, 0, 0, -4, 7, -3, 7, 4],\n [-14, 1, -4, -14, 8, -11, -9, -11, 9, 13],\n [10, -13, 2, -14, -2, -3, 13, 8, 14, -13],\n [4, -3, -11, 10, 11, 3, 11, -13, 14, -14],\n [9, -2, 9, -10, 4, -14, -13, -1, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1080397916", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 6) of the matrix A^8 where A is:\n[[11, -4, -11, 14, -12, -10, 9, -1, -5, -9],\n [-5, -4, 5, -7, -11, 6, 3, 11, 5, 11],\n [-1, 11, -12, -3, 0, 13, 9, -7, -1, 8],\n [-9, 10, -1, -11, 5, -9, 1, 2, -13, 3],\n [-2, 11, 5, 1, 6, -2, -1, 3, -7, -10],\n [9, -6, 0, 14, 12, -6, 5, -5, 3, -1],\n [12, 3, 1, 13, -10, -5, 5, -9, -6, 8],\n [1, 13, -4, 5, 8, 3, -10, 13, 12, -6],\n [-4, -6, -11, -7, -10, -12, 14, 7, -11, 14],\n [1, -2, -12, -11, 14, -14, 11, -7, -6, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15547506288", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^8 where A is:\n[[-10, -3, -6, -11, 2, -3, -2, -4, 8, 2],\n [0, 13, -6, -11, -3, -12, 5, 2, 7, -8],\n [-8, 6, 11, -3, 11, 6, 7, -5, 13, -7],\n [-6, -1, -9, 4, 7, 0, 5, 5, 12, 12],\n [-8, 7, 9, 12, -7, -12, -4, -11, -13, -14],\n [-8, 9, -3, -7, -2, -9, -8, 9, 5, 9],\n [-9, -3, -8, -5, -8, 9, 12, 0, 6, -13],\n [-7, 2, 1, 14, -2, 3, 6, -11, -3, -4],\n [-13, 5, 8, 6, 1, -2, -11, -13, 3, -14],\n [11, 7, -9, 5, 10, 14, 5, 4, 12, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23438290893", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, 2, 14, 0, -13, 2, -8, 13, 14, 1],\n [2, 12, 12, -14, 7, 7, 12, 1, 13, 6],\n [-11, 1, 9, -12, -14, 2, -10, -12, 4, -4],\n [0, -13, 10, 12, 14, 7, -8, 3, 12, -14],\n [-7, 1, 11, 0, -11, -2, 10, -3, -6, -2],\n [-4, -3, -11, 11, -12, -10, -9, 11, -11, -14],\n [8, -10, -13, -1, -4, -6, -7, 11, -8, 14],\n [0, -6, -5, 3, 14, 4, 10, 7, -13, 7],\n [-1, 6, -5, -10, -10, -13, 7, -2, -8, 10],\n [6, 12, 0, 12, 6, 0, 10, -9, -8, -11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9507353255", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 10) of the 7th power of the matrix:\n[[-11, -10, 4, -10, -7, -8, -9, 4, -7, 2],\n [-10, -2, -5, -6, -10, 4, 10, -7, 4, 10],\n [4, -5, -9, 3, -8, 1, -4, 2, 6, 10],\n [-10, -6, 3, 3, 0, -12, 8, -4, 6, 7],\n [-7, -10, -8, 0, -8, 10, 2, 4, -8, 10],\n [-8, 4, 1, -12, 10, 6, -2, 0, 2, -9],\n [-9, 10, -4, 8, 2, -2, 12, -4, 4, 4],\n [4, -7, 2, -4, 4, 0, -4, 11, -1, 8],\n [-7, 4, 6, 6, -8, 2, 4, -1, -2, 8],\n [2, 10, 10, 7, 10, -9, 4, 8, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32906004906", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-14, 3, -2, 10, 0, 7, 2, -6, 0, -1],\n [3, 11, -4, -4, -10, 12, 2, -2, 1, 6],\n [-2, -4, -4, 4, 5, -2, -6, -5, -8, 1],\n [10, -4, 4, 6, -4, 0, 8, -2, 11, -6],\n [0, -10, 5, -4, 2, 4, -12, 7, -6, -2],\n [7, 12, -2, 0, 4, 5, -2, -5, 2, -11],\n [2, 2, -6, 8, -12, -2, 7, 4, 4, -3],\n [-6, -2, -5, -2, 7, -5, 4, -7, 6, -5],\n [0, 1, -8, 11, -6, 2, 4, 6, 5, 0],\n [-1, 6, 1, -6, -2, -11, -3, -5, 0, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346173011480", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-10, -6, -1, 12, 1, -12, 0, 3, 3, -1],\n [10, -8, 11, 13, 5, -9, 11, 1, 7, 4],\n [-6, 5, -14, 3, 6, -1, -1, -7, 8, 10],\n [2, 3, 0, -5, 5, 1, -8, 14, 14, 2],\n [-10, 3, -1, 3, 3, 0, 10, -4, 11, -10],\n [1, -7, -2, 11, 7, 12, 2, 11, -6, 0],\n [-8, 12, 3, -1, -7, -13, 3, -11, 9, 8],\n [-13, -5, -9, -4, 12, 5, -5, 14, 2, 9],\n [-7, -9, 1, -5, 8, 13, 14, 4, 10, -11],\n [12, -13, 5, -13, -3, -11, 1, -13, 1, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "466915408", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[0, 4, -2, -6, 5, -10, 7, 2, -4, -4],\n [4, 13, -8, 4, -4, 11, -6, -2, -3, -2],\n [-2, -8, -2, 6, 4, 10, -8, 2, 8, 0],\n [-6, 4, 6, -14, -2, -3, -8, -6, -2, 2],\n [5, -4, 4, -2, -6, 6, -8, 2, 6, -4],\n [-10, 11, 10, -3, 6, 7, 1, -9, 6, 0],\n [7, -6, -8, -8, -8, 1, 3, 2, -8, -5],\n [2, -2, 2, -6, 2, -9, 2, -4, -10, 8],\n [-4, -3, 8, -2, 6, 6, -8, -10, -1, 2],\n [-4, -2, 0, 2, -4, 0, -5, 8, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "373679052120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[5, 0, 1, 0, 0, 7, -12, -1, -4, -2],\n [0, 2, 8, -11, 8, -1, 4, -1, 4, 3],\n [1, 8, 4, -2, -8, 6, -5, -4, 13, -4],\n [0, -11, -2, -9, -10, 10, -2, 6, -9, -11],\n [0, 8, -8, -10, 4, 6, 11, 1, 6, 0],\n [7, -1, 6, 10, 6, 10, 1, 1, -2, 0],\n [-12, 4, -5, -2, 11, 1, 6, 12, 6, 1],\n [-1, -1, -4, 6, 1, 1, 12, 9, 8, 0],\n [-4, 4, 13, -9, 6, -2, 6, 8, -10, -6],\n [-2, 3, -4, -11, 0, 0, 1, 0, -6, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "464699691183", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, 0, -12, 4, 0, -8, -1, -8, 5],\n [-4, -9, 4, 4, 10, -8, 0, -4, 1, 4],\n [0, 4, -3, 0, 2, 4, -2, -2, 3, -4],\n [-12, 4, 0, -12, -6, 0, 3, -8, 10, 12],\n [4, 10, 2, -6, 14, 9, 6, -6, 9, -11],\n [0, -8, 4, 0, 9, 9, -8, 0, -2, -5],\n [-8, 0, -2, 3, 6, -8, 14, 2, 4, -4],\n [-1, -4, -2, -8, -6, 0, 2, 8, 6, 2],\n [-8, 1, 3, 10, 9, -2, 4, 6, -14, -8],\n [5, 4, -4, 12, -11, -5, -4, 2, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "481764123507", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the 8th power of the matrix:\n[[10, -12, -6, -8, 9, -9, 0, -2, -1, -10],\n [11, 14, 9, 13, -13, -8, -14, 1, -8, 0],\n [-9, 5, 4, -6, 7, -9, 14, 2, -10, 0],\n [13, -8, -1, 5, 13, 3, 14, 10, 7, 10],\n [9, 2, 3, -13, 14, 3, -1, -11, -8, -8],\n [-14, -7, 5, 9, -5, -6, -8, -12, -3, -12],\n [-10, -8, -3, 8, 10, 2, -1, -12, -14, 7],\n [13, 11, 8, 3, -1, 10, -2, -3, -10, -12],\n [-1, -8, -8, 2, -9, 0, 4, 0, -8, -10],\n [0, 5, -2, 11, -8, -2, -2, -2, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217640016817", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 2) of the result:\nA =\n[[-10, -11, 2, 5, -1, -4, -5, -14, -8, -9],\n [-8, 9, 0, -9, 3, -13, -6, -9, 7, 2],\n [9, -4, 9, -11, -8, 0, 10, 12, 14, 2],\n [-3, -2, 6, -2, -7, -8, 14, 11, -11, -12],\n [2, 1, 4, -13, 6, -1, 1, 2, -11, -7],\n [-6, 1, 1, 2, -12, 7, 6, 13, 2, 3],\n [3, 8, -9, 14, -9, -14, 14, 1, 2, -11],\n [1, 11, 7, 12, 7, 6, 5, -13, 8, -3],\n [1, -9, 1, -8, -1, -12, -14, 2, 5, -11],\n [-8, 14, -8, -11, -8, -7, -6, 7, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2508958498", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 10) of the 8th power of the matrix:\n[[11, 3, 10, -3, 8, -9, -11, -11, 3, -14],\n [6, -9, 11, -6, 2, 6, -4, 14, 6, -6],\n [-4, 12, -11, -2, 14, 4, -12, 7, 12, -14],\n [2, 2, -8, -1, -10, -1, -4, 10, 13, 12],\n [-12, -9, -8, 4, -6, -13, 13, -3, -8, -5],\n [5, 0, 10, 8, 9, 12, 11, 4, -9, 5],\n [-2, 5, -3, 3, 1, -4, 11, 10, -4, -14],\n [-14, -8, 11, -8, -11, -1, 9, -10, 7, -3],\n [-11, -12, 3, 9, 12, -10, 11, -9, -1, -9],\n [5, 10, 8, -3, 13, 11, -3, 14, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2886818834", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[5, 10, -13, -10, 3, 9, 10, -12, 1, -10],\n [-6, -9, 4, 7, 10, 12, 12, 1, 11, -8],\n [-11, 1, 5, 2, 4, 13, 10, 2, -2, -13],\n [-13, 9, 7, 8, 12, -11, 1, 12, -11, 5],\n [-3, 7, 13, 13, 14, 14, 5, -1, -14, 2],\n [9, 3, -3, 10, -5, 9, 0, 2, 11, -4],\n [9, 10, 5, -8, 5, 14, 4, -4, -14, 3],\n [8, 7, 0, -2, 9, 12, 1, 4, -9, 13],\n [7, 13, 1, 3, -14, 3, -6, -2, 1, 7],\n [4, 11, 8, -14, 14, -7, -5, -8, -12, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34266797455624", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[5, -4, 8, 5, -10, -2, -3, 1, 2, -1],\n [6, 11, -5, -2, -3, -11, 4, -3, 10, -14],\n [-5, 6, 11, 14, -13, -10, 6, 11, 12, 2],\n [-11, -8, 0, -14, 13, 14, -1, 11, 0, -13],\n [5, 11, -13, 1, -13, 1, 2, 3, 4, 1],\n [-11, 2, -14, 8, 6, -2, -8, 11, -6, -1],\n [-14, -7, -5, -11, 10, -2, 3, -6, -7, -9],\n [6, 4, 1, -14, 0, -9, -5, -10, -7, -14],\n [-2, 11, 1, 2, -8, 0, 9, -1, 11, 13],\n [2, 10, 8, -8, 9, -1, -7, -2, -14, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542138089602", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[14, 14, 3, -5, 8, -3, -11, -6, 0, -4],\n [14, 4, -8, -7, 6, -4, 1, -11, 8, 7],\n [3, -8, -2, -2, -4, -4, -6, 4, 1, 0],\n [-5, -7, -2, 2, 8, -5, -1, 9, 0, 4],\n [8, 6, -4, 8, 5, 4, 2, 4, -6, -4],\n [-3, -4, -4, -5, 4, -11, 2, 4, 8, -10],\n [-11, 1, -6, -1, 2, 2, 12, 6, -1, 12],\n [-6, -11, 4, 9, 4, 4, 6, -14, 4, 4],\n [0, 8, 1, 0, -6, 8, -1, 4, -12, -2],\n [-4, 7, 0, 4, -4, -10, 12, 4, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15970410814", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 7th power of the matrix:\n[[-11, 0, 0, 10, 4, 9, -6, 3, 6, 4],\n [0, 12, 0, -10, -2, 0, 5, -2, 8, -4],\n [0, 0, 12, -1, 6, 1, -4, -5, 5, -2],\n [10, -10, -1, 10, -3, -10, 4, 5, 0, 0],\n [4, -2, 6, -3, 14, 2, -12, -5, -4, 12],\n [9, 0, 1, -10, 2, 11, -6, -5, 9, -8],\n [-6, 5, -4, 4, -12, -6, -9, -9, 0, -9],\n [3, -2, -5, 5, -5, -5, -9, -4, -6, 0],\n [6, 8, 5, 0, -4, 9, 0, -6, 11, -1],\n [4, -4, -2, 0, 12, -8, -9, 0, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104522352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-7, 8, 5, 1, 9, -5, -11, -3, 6, 1],\n [9, 14, 3, 1, -2, 1, 11, 0, -7, 0],\n [6, 6, -8, 5, 4, 14, 7, -1, -9, -2],\n [11, -3, 7, -8, 5, -12, -12, -12, 0, 1],\n [-2, 1, -13, -9, 2, -9, 9, 7, 3, 8],\n [-3, 4, 10, -3, 12, 9, 7, 2, -13, -1],\n [13, -2, 9, -9, 2, -6, -7, -1, -13, -5],\n [13, 6, -12, 2, -8, 10, -3, 12, -8, -12],\n [-9, -12, -11, 1, 0, -14, -13, -14, 11, 3],\n [-11, -9, -4, -3, -7, -1, -5, 10, 11, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25535590898", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^8 and find the value at position (8, 6) of the result:\nA =\n[[-11, 0, 1, -1, 0, 8, 2, 12, -3, -2],\n [-1, 11, -4, -4, -9, -14, 9, 5, -7, -7],\n [3, 7, -2, 11, -1, 0, -11, 4, -2, -6],\n [1, 13, 11, 13, -6, -13, 6, 11, -5, -8],\n [-6, -7, 11, 5, 4, -14, -14, 10, 5, -7],\n [-11, 13, 7, -11, 0, -13, 2, -7, 1, -9],\n [-14, -10, 4, 3, -12, -13, 11, -13, -14, -12],\n [4, -11, -12, -7, -3, 14, -11, -1, -5, 2],\n [3, -8, -2, 7, 10, -2, 7, -13, -7, 10],\n [6, 7, 5, -4, -13, -3, -10, 6, 1, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50248650993", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-3, -10, -14, -12, 12, 10, -11, -6, 7, 2],\n [-3, 4, 14, -12, 5, -5, 5, -7, -12, -4],\n [0, 5, 13, -3, -12, -8, 7, -14, -5, 2],\n [-9, 4, 10, -3, 14, 13, -13, -3, 14, 4],\n [-6, 13, -9, 2, -13, -8, -9, -1, 2, 11],\n [3, -9, -3, -9, 7, -1, -2, -6, 3, -5],\n [-5, 12, -1, -6, -6, 11, 10, -6, -12, 11],\n [-6, -2, -5, 10, -12, 14, 5, -11, -1, -2],\n [5, -8, 6, -8, -9, 8, -7, -9, 10, -11],\n [13, -10, 10, 10, 3, -13, 10, 7, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39649323191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, 7, 6, -4, 2, 7, 2, 0, -11, -6],\n [7, -7, 8, 2, -8, -4, 2, 12, 0, -4],\n [6, 8, 13, 4, 3, -4, -2, 5, 4, 2],\n [-4, 2, 4, 2, 0, 2, 14, -2, 6, 6],\n [2, -8, 3, 0, 10, 12, 0, -2, 8, 4],\n [7, -4, -4, 2, 12, -2, -6, 0, -9, -7],\n [2, 2, -2, 14, 0, -6, 6, 0, 8, -3],\n [0, 12, 5, -2, -2, 0, 0, 13, -2, 6],\n [-11, 0, 4, 6, 8, -9, 8, -2, 11, -8],\n [-6, -4, 2, 6, 4, -7, -3, 6, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56656576405", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^8 where A =\n[[0, 7, -7, -9, -11, -7, 5, 7, -10, 5],\n [8, -7, -1, 7, 2, 8, 5, -13, 4, 11],\n [-11, -1, -8, 10, 1, -5, -4, 7, 11, -10],\n [10, -3, 9, 9, 9, 0, 9, 9, -5, 11],\n [8, -13, 3, -4, -10, -9, -2, 10, 2, 12],\n [1, 8, 8, 9, 14, -14, 13, -2, -5, -2],\n [5, 11, 6, 3, 3, 12, -11, -12, 1, 14],\n [-8, -8, -13, 1, -10, 6, -7, -7, -4, 14],\n [5, -5, -14, -9, 13, -8, 2, 9, 1, -1],\n [10, 9, -12, -6, -5, -12, -3, -11, -3, 7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11775425137801", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[8, 6, 10, -2, 5, 12, 8, -3, 9, 3],\n [6, 14, 2, -4, 3, -1, 3, 0, -4, 0],\n [10, 2, 5, -12, 0, 3, 8, 6, 3, -10],\n [-2, -4, -12, -14, -9, 6, -2, 0, -6, 3],\n [5, 3, 0, -9, -8, 1, 6, 1, 1, 9],\n [12, -1, 3, 6, 1, 2, -4, 0, 0, 10],\n [8, 3, 8, -2, 6, -4, 2, -12, -4, -2],\n [-3, 0, 6, 0, 1, 0, -12, 12, -4, 10],\n [9, -4, 3, -6, 1, 0, -4, -4, -7, 9],\n [3, 0, -10, 3, 9, 10, -2, 10, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132159417619", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (9, 5) of the matrix A^6 where A is:\n[[10, -10, 13, 9, 2, -4, -5, -14, -1, 1],\n [-10, -14, 4, 12, -4, -4, 1, -10, 6, 2],\n [13, 4, -2, -9, -5, -6, -2, 4, -4, 0],\n [9, 12, -9, -8, 2, 0, -3, -2, 7, 0],\n [2, -4, -5, 2, -10, 4, 2, 2, 12, -6],\n [-4, -4, -6, 0, 4, -14, 5, 14, -8, 3],\n [-5, 1, -2, -3, 2, 5, -6, 3, 0, -10],\n [-14, -10, 4, -2, 2, 14, 3, 14, -11, 8],\n [-1, 6, -4, 7, 12, -8, 0, -11, 10, 7],\n [1, 2, 0, 0, -6, 3, -10, 8, 7, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36331054", "dataset": "MATH"}