{"messages": [{"content": "Find the value at position (5, 4) of the 5th power of the matrix:\n[[-6, 7, 2, -2, -5, 8, -6, 6],\n [10, -2, -2, 11, 8, -9, -5, 11],\n [-10, 9, 8, -11, 11, -1, -7, -11],\n [8, -12, -1, 9, -1, 12, 4, -3],\n [3, 2, 2, 6, -1, 10, 7, 12],\n [-10, -8, 6, -6, 8, -4, -6, 5],\n [-9, 12, 1, 5, -4, 8, -11, 7],\n [2, -6, -1, -5, 2, -10, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "494988", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, 5, -5, -9, -11, -7, 9, -3],\n [-9, 9, 5, -1, -11, -3, -9, 1],\n [3, 2, -5, 1, 10, 12, -5, 8],\n [3, 0, 5, 2, 8, 11, 12, 0],\n [-4, 2, 0, -12, 12, -6, -4, 11],\n [-12, -1, -5, 11, -2, 6, 4, -5],\n [-10, -10, -12, -8, -3, -6, -4, -6],\n [-4, -5, -1, -11, -12, 3, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3157026532", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[11, -9, -4, -4, -2, 3, -6, -2],\n [-9, -8, -2, 2, -6, -6, 1, 5],\n [-4, -2, -4, 4, -4, 4, 6, 1],\n [-4, 2, 4, -9, -4, 9, -6, -5],\n [-2, -6, -4, -4, -6, 0, -2, -8],\n [3, -6, 4, 9, 0, -1, -6, 0],\n [-6, 1, 6, -6, -2, -6, 12, 4],\n [-2, 5, 1, -5, -8, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11547973", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-8, -12, 6, -3, -1, 11, 2, 9],\n [11, -4, 7, 4, 4, 7, -1, -6],\n [-11, -10, 4, -8, 4, 11, 4, 4],\n [-11, -11, 9, 10, -8, -12, -12, 6],\n [-11, 8, -1, -7, 10, -9, 10, -2],\n [11, 4, -7, 11, -8, 7, -11, -7],\n [9, -2, 3, 3, -12, -4, -7, 3],\n [-10, 7, -9, 6, -10, 6, 7, -6]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98322", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the 6th power of the matrix:\n[[7, -4, -12, -5, -6, 5, -5, -12],\n [-2, 12, 12, 5, 10, -3, -10, -6],\n [3, 3, 12, 7, 4, -11, -12, 3],\n [-1, -8, -8, 10, -4, -4, -10, 6],\n [3, 3, -10, 7, 11, 9, 11, -12],\n [11, 7, -2, 4, -5, -9, -7, -5],\n [7, -10, 3, 12, -10, 12, 5, 1],\n [5, -11, 9, -10, 3, -4, -9, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9029435", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-9, -9, 6, 2, 4, 0, 0, 4],\n [-9, -10, 6, -12, -3, -6, -3, 3],\n [6, 6, 1, 0, -8, -2, 6, 9],\n [2, -12, 0, -12, 3, -10, 0, -4],\n [4, -3, -8, 3, 4, 5, 6, 2],\n [0, -6, -2, -10, 5, 4, -6, 4],\n [0, -3, 6, 0, 6, -6, -10, 8],\n [4, 3, 9, -4, 2, 4, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6040706417", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[2, 9, 10, -11, -3, -11, 4, -5],\n [-12, -4, -2, 9, 3, -6, -3, 10],\n [-10, 5, 12, 11, 0, -6, 12, -9],\n [0, 7, -12, -5, 1, 3, 1, -1],\n [6, 10, 2, -11, -11, 10, 9, 6],\n [12, 9, 9, 4, 7, -3, -7, 2],\n [9, -2, -8, -12, -5, 8, -1, -1],\n [-8, -6, -9, -7, 0, 7, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23791749", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[10, 0, 3, 8, 4, 8, -2, 8],\n [0, 11, 7, 2, 1, 4, 6, -4],\n [3, 7, -12, -6, -4, -10, 6, 6],\n [8, 2, -6, 8, -6, 2, 1, -8],\n [4, 1, -4, -6, 3, 5, -7, 0],\n [8, 4, -10, 2, 5, 1, -1, -10],\n [-2, 6, 6, 1, -7, -1, -12, 0],\n [8, -4, 6, -8, 0, -10, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62247507", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[6, -4, 0, -10, 0, -6, 2, 4],\n [-4, 10, -12, -4, -2, 0, -2, -2],\n [0, -12, -12, 0, 2, -1, 5, -7],\n [-10, -4, 0, -3, 2, -2, -4, 5],\n [0, -2, 2, 2, -10, 2, 8, -8],\n [-6, 0, -1, -2, 2, -9, 8, 4],\n [2, -2, 5, -4, 8, 8, 12, -10],\n [4, -2, -7, 5, -8, 4, -10, 3]], determine the value at position (8, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "952266", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-9, 5, 4, -6, 11, 10, -8, -1],\n [4, 10, 0, 10, 12, -10, -4, 4],\n [4, 7, 3, 12, 9, 0, 6, 4],\n [-9, -1, -4, 6, -1, -4, -6, 1],\n [7, 6, 2, 3, 8, -8, -10, -1],\n [12, 7, 8, -9, 8, 10, 3, 12],\n [-6, 0, 8, -3, -6, 1, -8, -10],\n [10, -2, -2, 5, 2, -1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75068726918", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-1, 4, -7, -6, 1, 0, -5, -3],\n [-4, 5, -11, -8, -8, -7, 6, -5],\n [3, 0, -12, 9, 7, 4, -6, 12],\n [0, -9, -9, -7, 6, -1, 9, -6],\n [-3, 6, -6, -10, 0, 0, 5, 7],\n [-5, -4, -6, -12, -10, 0, 12, 4],\n [12, 11, -12, -7, 8, -7, -1, 0],\n [0, 2, 8, 3, 9, 8, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1580049179", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-9, -10, 6, 7, 12, 5, 2, -4],\n [4, 1, 2, -12, 8, 9, 9, -10],\n [3, 10, 12, -2, -1, -3, 3, -5],\n [-7, -1, 11, 8, -5, -9, -5, 5],\n [-8, -4, -9, 9, 4, -4, -12, 8],\n [7, 0, 3, 0, 1, -10, -7, 5],\n [6, -8, 2, 12, -11, -3, 11, 5],\n [0, -8, 10, 11, -12, 9, -12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113592081", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[2, 4, -2, 8, 12, 9, 4, 0],\n [-12, -11, -4, -10, -12, 8, 3, 10],\n [-7, 4, -8, -8, -7, -10, 8, 10],\n [-8, 8, -8, -3, -3, 6, 4, 8],\n [1, -4, 1, -12, 6, 0, 0, -9],\n [-12, 4, -5, -11, -5, -6, -11, 9],\n [9, -10, 5, -1, -12, 9, -1, -8],\n [12, 4, 3, 2, 10, 2, -8, 8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "715869825", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[1, -3, -4, -1, 2, -4, -4, 2],\n [-3, -11, -4, -4, -1, -4, 2, 12],\n [-4, -4, 11, 0, 0, -2, 8, -3],\n [-1, -4, 0, 11, -2, 2, 4, -2],\n [2, -1, 0, -2, 8, -4, -2, 2],\n [-4, -4, -2, 2, -4, 12, 0, 8],\n [-4, 2, 8, 4, -2, 0, -5, -2],\n [2, 12, -3, -2, 2, 8, -2, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43245396", "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, -3, 9, 8, -7, -12, -8],\n [-4, -1, 1, -11, 4, 1, 0, -4],\n [12, 2, 12, 9, 2, 11, -2, 3],\n [4, -9, -12, -5, 4, -10, 7, 2],\n [2, 11, 9, 1, 10, 1, 11, -11],\n [0, 1, 11, 6, -6, -10, 2, 10],\n [1, -2, 2, 0, 5, -7, -10, 6],\n [2, 12, 10, -8, -3, -6, 12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13305833360", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, 9, -1, 12, 4, 0, 7, 12],\n [-9, -3, -10, -4, 0, 5, 2, -9],\n [2, 9, -11, 2, -5, -5, 4, -1],\n [6, -3, -4, -8, -7, 7, -11, 11],\n [0, -7, -8, 12, -12, 8, 9, 8],\n [-7, -7, 10, 3, -9, -2, 11, 10],\n [-4, 10, -10, 6, -5, -8, -9, 11],\n [-7, -11, 7, -2, -9, 2, -7, 9]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14668500", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (4, 6) of the result:\nA =\n[[4, 3, 0, 4, 0, -6, -1, -6],\n [3, 6, 4, -4, -8, -9, 6, -2],\n [0, 4, -12, 0, 4, 0, -1, -10],\n [4, -4, 0, -2, 1, -2, -2, -6],\n [0, -8, 4, 1, -3, -10, 6, 1],\n [-6, -9, 0, -2, -10, 7, 0, -4],\n [-1, 6, -1, -2, 6, 0, -7, 9],\n [-6, -2, -10, -6, 1, -4, 9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5590461", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-2, -4, -11, -1, -10, -10, -12, -5],\n [9, -5, -2, -4, -8, 1, -10, 8],\n [-8, -8, 6, 1, -9, 12, 0, -3],\n [12, 5, -5, -5, -6, -5, 1, 6],\n [-7, -12, 10, 2, -12, 12, 4, -12],\n [2, 10, -11, 1, 8, -5, -5, 6],\n [-6, 6, -7, -7, -10, -6, 6, -5],\n [-3, 7, 2, 2, -12, 7, -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": "131267481", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-7, 0, -5, -8, 0, -10, -4, 4],\n [0, -3, -8, 0, -10, 1, -6, 0],\n [-5, -8, 0, 1, 2, 3, 4, -7],\n [-8, 0, 1, -1, -4, 0, 9, 4],\n [0, -10, 2, -4, 7, 0, -8, -7],\n [-10, 1, 3, 0, 0, 1, 0, -4],\n [-4, -6, 4, 9, -8, 0, -5, 4],\n [4, 0, -7, 4, -7, -4, 4, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11332292", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-5, -3, 4, -4, 9, 6, 1, -5],\n [-4, 9, -2, 10, -12, 1, -8, 8],\n [1, -9, 9, 10, 12, -12, 9, 10],\n [6, -5, 2, 8, 2, -4, 8, -4],\n [-3, 7, 12, 8, -4, -10, 7, 12],\n [-2, -7, -11, -6, 5, -11, 4, -2],\n [-1, 6, 9, 11, 12, -6, 7, -7],\n [8, 11, -12, 4, -2, 9, 5, 8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230360486958", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[4, 2, 8, -2, 0, -3, 8, 10],\n [2, -5, 5, -2, -10, -2, 8, 8],\n [8, 5, 4, 3, 4, -4, 0, 0],\n [-2, -2, 3, 2, -2, -2, 2, 6],\n [0, -10, 4, -2, -12, -2, -1, 3],\n [-3, -2, -4, -2, -2, -11, 0, 6],\n [8, 8, 0, 2, -1, 0, 10, -9],\n [10, 8, 0, 6, 3, 6, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219881495", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[6, -12, 2, -5, -11, -10, 11, 1],\n [11, 1, -2, 3, -9, 7, -8, 9],\n [8, 1, 10, 3, 5, -6, -3, -6],\n [-12, 10, 8, 6, 3, 6, -9, 5],\n [-11, -12, 2, -8, 7, -2, -3, -11],\n [-10, 10, 10, -1, 7, -8, -8, -7],\n [-4, -11, 8, -1, -10, 7, 9, -1],\n [11, 4, -3, 11, 1, 10, 4, 5]], determine the value at position (5, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75248463", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[6, -1, -5, -6, -3, -8, 0, 9],\n [-1, -4, 10, 2, 4, -5, -2, 4],\n [-5, 10, -8, -4, 0, 2, 8, -6],\n [-6, 2, -4, -11, 0, -4, 6, 0],\n [-3, 4, 0, 0, 9, 10, 0, 0],\n [-8, -5, 2, -4, 10, 8, 2, -2],\n [0, -2, 8, 6, 0, 2, -2, -8],\n [9, 4, -6, 0, 0, -2, -8, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "659353", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-9, 4, -6, -5, -10, 9, -11, 10],\n [2, 11, 9, 9, -8, 11, -12, -9],\n [2, 7, 6, -10, 7, -2, 4, 0],\n [-2, -11, -4, -11, 8, -4, -4, -5],\n [4, -12, 12, -2, -5, -3, 12, -6],\n [-10, -10, 5, -8, -1, -1, 6, -7],\n [-11, -1, 6, -8, -1, 4, 4, -3],\n [12, 10, 4, 2, -1, 3, 11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3000675", "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, 8, 4, 10, -8, 9, 3, -7],\n [-5, 12, 5, 12, -1, 2, -4, 0],\n [2, -3, 3, -6, 4, 10, 8, 9],\n [-6, 1, 2, 8, -6, -4, 6, 3],\n [-5, 5, 10, 5, 7, -6, -10, 5],\n [-3, -6, 4, 1, 11, -10, -1, 0],\n [-11, -10, -8, -2, -5, 10, 10, -1],\n [-6, 2, 11, 4, -9, 9, 12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19271945839", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (8, 5) of the result:\nA =\n[[5, -11, -2, 6, -6, -5, -4, 1],\n [-11, -3, -5, 4, -6, 2, 0, -9],\n [-2, -5, 7, 3, 6, -4, 7, 0],\n [6, 4, 3, 12, -6, 12, -1, 0],\n [-6, -6, 6, -6, 0, 2, 12, 0],\n [-5, 2, -4, 12, 2, -12, 10, 6],\n [-4, 0, 7, -1, 12, 10, -9, 0],\n [1, -9, 0, 0, 0, 6, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5786560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 6) of the result:\nA =\n[[-2, 0, -11, 12, -6, 7, -9, -5],\n [7, 9, 8, 6, 0, 1, -3, -2],\n [-11, 12, -4, 4, -10, 11, -7, -8],\n [-8, 9, 2, 10, 4, -4, -10, 7],\n [4, -3, -10, 5, 5, 4, 11, -10],\n [-10, -7, 0, 11, 2, 12, -4, -9],\n [1, -8, -11, -2, -4, 11, -10, -4],\n [-10, 12, -11, -1, -3, -4, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468194046", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[12, -8, -1, -8, 8, 1, -4, 2],\n [-8, 3, 4, -9, -2, 8, 0, -7],\n [-1, 4, 5, -5, -2, 7, 1, 8],\n [-8, -9, -5, 0, -6, -8, 0, 1],\n [8, -2, -2, -6, 3, -6, 5, -6],\n [1, 8, 7, -8, -6, -7, -4, -4],\n [-4, 0, 1, 0, 5, -4, -3, -1],\n [2, -7, 8, 1, -6, -4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223138285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 3) of the result:\nA =\n[[-6, -11, 0, 1, 4, -4, 4, -5],\n [-11, 11, 0, -10, 3, -7, 6, -6],\n [-3, -4, -11, 2, -8, 9, -9, 7],\n [-9, 5, -9, 4, -1, 9, 4, -3],\n [9, -12, 9, 11, 5, 5, 1, 2],\n [-1, -9, -10, 7, -1, -6, -2, -12],\n [-7, 2, 2, 6, -2, 10, -11, 1],\n [-11, -9, 4, -10, 0, -4, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113290581", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^7 where A is:\n[[10, -2, 0, -9, 4, 4, 3, 5],\n [-2, -10, 6, 0, 6, 2, 5, -2],\n [0, 6, -7, -2, 6, -3, 0, -4],\n [-9, 0, -2, -10, 4, 6, 0, -1],\n [4, 6, 6, 4, -5, 3, 10, 6],\n [4, 2, -3, 6, 3, 7, -2, -10],\n [3, 5, 0, 0, 10, -2, 2, 4],\n [5, -2, -4, -1, 6, -10, 4, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149926482", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, 12, 9, 9, 8, 8, -11, 11],\n [-5, -2, 0, 4, -5, 8, 5, 5],\n [1, 2, -7, -2, 0, 12, -12, -7],\n [-4, -5, -2, 9, 6, 11, -4, 4],\n [-1, 12, 1, 2, 3, 9, 9, 7],\n [-12, -3, -5, 5, -12, -11, -12, -12],\n [-4, 0, -12, 0, 7, 9, -6, -11],\n [-7, -6, 1, 5, 2, -11, -3, 10]], determine the value at position (1, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246955530", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-1, 4, -5, -2, -10, -7, -4, -7],\n [-4, -6, -4, 5, -1, -5, -5, 5],\n [7, 2, -6, -2, 7, 3, -9, -7],\n [9, -10, -4, -3, 1, -2, 5, 9],\n [-1, 10, -1, 0, 12, 0, 6, 6],\n [10, 1, -9, 0, -5, 10, 8, 10],\n [6, -1, 5, -7, 5, 6, 9, -8],\n [11, -4, -10, -3, 6, -10, 9, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32839690", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-12, -6, -1, 4, 8, 11, 7, -8],\n [-9, -1, 7, 11, 5, 4, 6, -4],\n [-9, 8, -11, -9, -11, 2, -11, -9],\n [-7, -6, -3, 6, 6, 9, -1, -10],\n [0, 5, -5, 8, 2, -12, -10, -5],\n [-9, 3, 10, -3, -1, 1, 1, -11],\n [10, -8, -8, -7, 0, -4, 9, 2],\n [1, 11, -6, 12, 7, -11, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15666529", "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, 12, 12, -11, -10, -8, -8, -12],\n [-5, -1, 11, -9, 0, 10, 2, -2],\n [-3, -10, 9, 1, 3, -3, -3, -1],\n [-4, -12, -8, 7, -5, -2, -1, -12],\n [12, 9, 7, 12, -2, -8, 2, -8],\n [-1, -8, 4, 4, 11, -1, 11, 2],\n [2, -7, -1, 7, 5, 1, -11, -4],\n [-8, 7, -12, 10, -10, -7, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27678577308", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 3) of the matrix A^5 where A is:\n[[-8, -12, 4, 6, 1, -1, -3, 7],\n [8, 5, 11, -2, -11, 12, 5, 12],\n [-6, 11, 2, -2, 5, 10, -1, -7],\n [7, 10, 0, 7, 3, 5, -3, 10],\n [-5, 5, 8, -12, 10, -5, -7, -8],\n [2, 9, 2, -11, -12, 10, 10, -2],\n [-3, 5, 5, 4, -5, 2, -5, 4],\n [-1, -5, 12, 1, -9, -12, -12, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-324925", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[3, -3, 8, -3, 1, 4, -2, 2],\n [-3, -4, -6, -6, 9, 6, 6, -7],\n [8, -6, -4, 2, -4, -4, -10, -2],\n [-3, -6, 2, -7, -6, -4, 2, -2],\n [1, 9, -4, -6, -12, 5, 6, -2],\n [4, 6, -4, -4, 5, -6, -4, 2],\n [-2, 6, -10, 2, 6, -4, -1, -9],\n [2, -7, -2, -2, -2, 2, -9, 1]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-847453", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 2) of the 6th power of the matrix:\n[[-4, 1, 0, -3, 2, -10, -2, 2],\n [1, -1, -3, -6, 6, 0, 5, -5],\n [0, -3, -2, 2, 6, -4, 4, 5],\n [-3, -6, 2, 8, 11, 4, 6, -4],\n [2, 6, 6, 11, -9, 2, 4, 3],\n [-10, 0, -4, 4, 2, -11, -4, -4],\n [-2, 5, 4, 6, 4, -4, -5, -3],\n [2, -5, 5, -4, 3, -4, -3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-619360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -6, -1, -3, -6, 0, -6, 11],\n [4, -3, -3, 11, -9, 7, -9, 9],\n [-6, 9, -12, -1, 11, 0, -3, 2],\n [0, 10, 9, 9, 8, 9, -4, -4],\n [2, -3, 11, 12, -3, -5, 11, 3],\n [4, -8, -9, 5, 11, 6, -9, -6],\n [-3, 12, 5, 6, -9, -3, -12, 10],\n [5, -8, 2, 4, -10, -1, -11, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49135279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 8, 4, 9, 3, -8, 2, -10],\n [-6, -2, -3, -4, 1, 0, 12, 12],\n [-11, -10, -6, 8, 5, -10, -3, 9],\n [-6, -4, 4, -2, -6, 11, 1, 6],\n [-9, -7, -3, -6, 0, 1, -9, -5],\n [-8, -12, -9, -10, -4, -5, -12, -7],\n [-4, -6, -9, 0, 4, -11, -8, -1],\n [8, -5, -7, -5, 5, -10, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4518828647", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (1, 4) of the result:\nA =\n[[-10, 9, -7, -11, 10, -1, -11, -7],\n [4, -10, -11, 10, 7, -5, 9, -1],\n [-9, -8, 0, 2, 12, 10, 3, -3],\n [12, 10, 3, -1, 4, 3, -1, -5],\n [7, -10, 3, 0, 10, 6, -5, 9],\n [-8, 7, -5, 11, -1, -12, 12, 8],\n [7, -7, 9, 5, -5, -6, -12, 8],\n [3, -1, -7, 7, -11, 1, -9, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-954803952", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[10, 5, 0, -11, -4, 8, -11, 12],\n [-4, -12, -2, -10, 7, 10, -9, 5],\n [10, -7, -10, 9, -2, 2, 9, -8],\n [7, -3, -1, 2, 4, -3, -7, 5],\n [0, -10, 11, -3, 1, -7, -10, 3],\n [-6, 7, 1, -4, 2, 8, -10, -11],\n [-11, -10, 5, 1, 7, 5, -3, 12],\n [-11, 12, 9, -12, -9, 1, -12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446223653", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[3, 10, 6, 6, -2, -4, -2, -6],\n [10, 0, 5, -9, -8, 2, -2, -7],\n [6, 5, -9, -1, -2, 5, -2, 6],\n [6, -9, -1, -11, 11, 6, 4, -8],\n [-2, -8, -2, 11, -11, -3, 4, 2],\n [-4, 2, 5, 6, -3, -10, -2, 2],\n [-2, -2, -2, 4, 4, -2, -9, -1],\n [-6, -7, 6, -8, 2, 2, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135693027464", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-7, -6, 5, -8, 7, -10, -6, 9],\n [1, -6, -8, 9, -8, 10, -11, 8],\n [9, -7, 2, 8, -3, 10, 11, -6],\n [-8, -12, 0, 8, 5, 0, 8, 8],\n [5, -8, 0, -9, 4, -10, 4, -2],\n [8, 7, 10, 8, -9, -11, 7, 3],\n [5, -5, -10, -4, 7, -7, -3, 8],\n [-3, 0, 4, -4, 4, 11, -4, -4]], determine the value at position (8, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-338812488", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-12, -6, 4, -1, -8, 6, 0, 2],\n [-6, 10, 0, -6, 4, 2, -1, 0],\n [4, 0, 11, -2, 6, -6, 2, -10],\n [-1, -6, -2, 0, 3, 6, 8, 0],\n [-8, 4, 6, 3, -10, 1, 1, -2],\n [6, 2, -6, 6, 1, -2, 0, 3],\n [0, -1, 2, 8, 1, 0, -8, 2],\n [2, 0, -10, 0, -2, 3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3199743", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[12, -6, -2, 2, 8, -2, 6, -2],\n [-6, 1, -6, -8, 4, 8, -2, 2],\n [-2, -6, -1, -4, 0, 8, 5, 4],\n [2, -8, -4, -3, -2, 2, -6, 6],\n [8, 4, 0, -2, 1, 9, 4, 2],\n [-2, 8, 8, 2, 9, 1, 2, 6],\n [6, -2, 5, -6, 4, 2, -4, -2],\n [-2, 2, 4, 6, 2, 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": "573378237", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-6, 10, 0, -5, 4, 2, -6, 3],\n [10, 0, 6, -12, 5, -5, 2, -3],\n [0, 6, 10, 11, 6, 0, -1, -3],\n [-5, -12, 11, -10, 0, -1, 4, -2],\n [4, 5, 6, 0, 2, -8, 4, 2],\n [2, -5, 0, -1, -8, -12, -6, -4],\n [-6, 2, -1, 4, 4, -6, 8, 4],\n [3, -3, -3, -2, 2, -4, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6419976854", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the 6th power of the matrix:\n[[9, -3, 9, -1, 4, 1, 1, 12],\n [-11, 8, 12, 7, -2, 3, 6, 10],\n [-7, 11, 6, -8, -9, 2, -9, 7],\n [-3, 11, 9, -10, -8, -7, 8, 9],\n [-5, -6, 8, -3, -7, 1, -9, 12],\n [0, 7, 4, 10, -6, -9, 1, -10],\n [11, -8, 3, 10, 7, -9, 11, 11],\n [-11, 5, 6, 6, 4, 1, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21049569", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[11, 0, -1, -7, 8, -9, 6, 3],\n [0, -9, 10, 4, 10, -12, 5, 7],\n [4, 2, -2, 12, 9, 0, -12, 4],\n [-7, -9, 7, 3, 2, 2, -7, 2],\n [1, -2, -6, -4, 3, -8, 12, 7],\n [-3, 5, -10, 0, -2, 4, 9, 0],\n [-7, 4, 0, 6, 8, 6, -3, -10],\n [1, 6, -8, -8, 7, 4, 8, -3]], determine the value at position (8, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88687", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-8, -9, -7, -9, -6, -6, 5, -10],\n [-12, 11, 12, -9, -7, -4, 9, 1],\n [-1, 12, 7, 11, 12, -9, 8, 11],\n [-1, -3, 9, -6, -10, 10, 1, 11],\n [-3, 3, 3, 9, -3, 12, 0, -7],\n [-1, -4, 0, -9, 11, -2, 7, 5],\n [-2, 12, 8, -9, 5, -12, -6, -7],\n [2, 5, 11, -2, 7, 11, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6340973564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (2, 1) of the result:\nA =\n[[-6, 8, -3, -1, 11, 1, 12, -8],\n [8, 5, -8, -10, 10, -8, 11, 4],\n [6, 6, 12, 8, -1, 12, -4, -12],\n [5, 8, -9, -3, 12, -6, 9, 10],\n [-12, 4, 11, -11, -2, -4, -6, 9],\n [4, 4, -11, -7, 1, -7, -11, -12],\n [-3, 8, -8, -11, 9, 3, 12, -11],\n [-3, -11, 3, 3, 6, -6, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2290524", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[11, 2, -5, -7, -3, -10, 6, 4],\n [-6, 8, 7, -9, 1, 7, 9, 2],\n [11, -5, 8, 2, 9, 7, 1, -4],\n [-5, 4, -11, 12, 11, -10, -5, -1],\n [-12, -3, 7, -10, -7, -6, 7, 10],\n [12, 5, -2, 6, -8, 6, -2, 11],\n [-1, -3, -5, 11, -4, -9, -8, 8],\n [-5, 10, -4, 2, 2, 3, 1, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7133648", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[5, -6, -2, -7, 4, -11, -8, -2],\n [-6, 0, 0, 3, 0, -7, 2, -4],\n [-2, 0, -5, 0, -4, -4, 0, -8],\n [-7, 3, 0, 6, -2, 4, -6, 4],\n [4, 0, -4, -2, 10, 0, 0, 0],\n [-11, -7, -4, 4, 0, 12, -10, 0],\n [-8, 2, 0, -6, 0, -10, -4, 2],\n [-2, -4, -8, 4, 0, 0, 2, -11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434012449", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -1, -4, 8, 11, -11, 9],\n [-10, -1, 3, 8, 11, -12, 8, -10],\n [7, -11, -4, 6, 2, 5, -2, 12],\n [10, 3, 9, 4, -8, -1, -2, 2],\n [-10, -12, 7, 3, -11, -11, -10, -5],\n [11, 2, -6, -7, -4, 7, -12, -5],\n [10, 10, -10, -9, 12, 2, -7, 2],\n [8, -10, 12, 8, 8, 1, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73774192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-9, 2, -2, 0, 2, -2, 6, -4],\n [2, 6, -6, -2, 6, -8, 8, -2],\n [-2, -6, -9, 10, 4, -2, 4, 2],\n [0, -2, 10, -5, 8, 0, 0, 3],\n [2, 6, 4, 8, 1, 0, -4, -8],\n [-2, -8, -2, 0, 0, 1, 4, 10],\n [6, 8, 4, 0, -4, 4, -7, 8],\n [-4, -2, 2, 3, -8, 10, 8, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1928380999", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 3) of the 7th power of the matrix:\n[[1, -6, 9, -2, -2, -5, -2, -1],\n [-6, -5, -4, 2, -6, 10, 2, 10],\n [9, -4, 4, 6, 4, -11, -2, -2],\n [-2, 2, 6, -8, 0, 1, -4, -1],\n [-2, -6, 4, 0, -4, -4, -4, 5],\n [-5, 10, -11, 1, -4, 10, 2, -6],\n [-2, 2, -2, -4, -4, 2, -4, 6],\n [-1, 10, -2, -1, 5, -6, 6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-874048568", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[6, -10, -1, -1, -4, 8, -3, -2],\n [-10, 9, -3, -6, 8, 0, 4, -3],\n [-1, -3, 10, -7, -8, 6, 10, 7],\n [-1, -6, -7, -5, 0, -2, -12, 4],\n [-4, 8, -8, 0, 1, -8, -2, -2],\n [8, 0, 6, -2, -8, 4, 4, 8],\n [-3, 4, 10, -12, -2, 4, 8, -2],\n [-2, -3, 7, 4, -2, 8, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36719314", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-4, -1, 6, 8, 0, -2, 8, -2],\n [-1, 0, -7, 0, 9, 2, -4, 4],\n [6, -7, -5, -1, 4, 2, 0, -2],\n [8, 0, -1, 3, -1, 2, -2, -6],\n [0, 9, 4, -1, 0, -4, 2, -1],\n [-2, 2, 2, 2, -4, -9, -2, -10],\n [8, -4, 0, -2, 2, -2, 4, -8],\n [-2, 4, -2, -6, -1, -10, -8, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6426192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (2, 3) of the result:\nA =\n[[-11, 6, -2, 0, -3, 1, 5, 6],\n [9, -4, 12, -6, -10, 7, -7, 8],\n [-11, -7, -10, 3, -5, -11, 4, -4],\n [-1, -10, -2, -12, 10, 0, 2, -8],\n [8, 4, 12, 10, 11, 12, -7, 8],\n [9, -2, 5, -9, -10, 0, 10, -4],\n [8, -7, -1, -11, -10, -10, -1, 2],\n [-4, 10, -5, -2, 3, 12, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3477376", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-12, 11, -6, -11, 11, -8, -6, -9],\n [-8, 11, -12, -12, 2, 7, 6, -3],\n [5, -10, -2, 2, -2, 4, 4, -7],\n [-8, -5, -11, 3, 7, 11, -1, -7],\n [-12, -9, 4, 0, 5, -8, 11, 11],\n [-10, -2, 0, -9, 1, 9, -2, -3],\n [6, 5, -7, 2, 8, -3, -8, -8],\n [-3, -8, -10, 10, -7, -9, 5, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8177373462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 7, 4, 0, 3, 9],\n [-9, -8, -8, -4, 4, 0, -11, 0],\n [9, 8, 10, 6, -10, -3, -11, 0],\n [6, 4, 8, 1, -1, 8, -1, -2],\n [-6, -9, 6, -12, 11, -10, 0, 2],\n [-11, -2, -9, 6, 4, -10, 5, -5],\n [9, 12, 11, 6, -8, -6, 8, -5],\n [-8, 4, -8, -9, 9, 6, 8, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1693707161", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the 6th power of the matrix:\n[[-2, 9, 0, 2, -1, 9, 8, 9],\n [-2, -6, -8, 4, 11, 7, -4, 1],\n [-1, -7, 4, 6, 6, 3, -1, -1],\n [7, -7, 10, -9, -7, -2, -12, 11],\n [10, 2, -2, 12, 6, 5, 4, 6],\n [8, 1, 5, 6, 2, 2, -9, -6],\n [0, -10, 3, -4, -5, 7, 0, 4],\n [4, 4, -12, -5, 6, -7, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2393915", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[0, 0, -5, 8, -4, 0, 2, 4],\n [0, -10, 2, 1, -6, 2, 6, -6],\n [-5, 2, 11, -8, 12, 2, -1, -8],\n [8, 1, -8, 4, -6, -5, -8, -10],\n [-4, -6, 12, -6, -12, -5, -4, 0],\n [0, 2, 2, -5, -5, -9, -4, -6],\n [2, 6, -1, -8, -4, -4, -9, -4],\n [4, -6, -8, -10, 0, -6, -4, -11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161578974", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 8) of the matrix A^7 where A is:\n[[0, 6, -7, 3, -11, -5, 4, 10],\n [-11, -3, 3, -7, -11, -11, 0, 11],\n [2, -11, -6, -10, -5, 10, 1, 11],\n [10, 9, -6, 8, -6, -12, 4, -4],\n [8, 0, 8, 6, 8, 6, 12, 12],\n [9, 4, 10, 10, -3, -3, -9, -5],\n [9, 7, 7, 5, 1, 5, 1, 7],\n [8, 11, 2, 9, -9, 0, 10, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215929314", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -1, 10, 1, -11, 5, 11, -11],\n [-2, -4, -1, 4, 2, 12, 4, 5],\n [9, -7, 4, 10, 11, 5, -5, -4],\n [-7, -8, -1, 12, -2, 12, -12, -2],\n [6, -4, -11, -1, -9, -9, 5, 2],\n [6, 0, 6, 4, -7, 3, 11, -1],\n [6, -8, 4, 10, -12, 12, 11, 10],\n [-3, 2, 10, 8, 8, -2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62167774", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-12, 11, -1, -2, 4, -9, 2, 12],\n [-4, 8, 7, 6, 6, -1, -8, -3],\n [4, -8, 9, 3, -6, -4, -10, 2],\n [3, 5, 1, -10, -1, -4, -6, -4],\n [0, 5, -8, 0, -9, -11, 3, -4],\n [-4, -7, -2, 9, 11, 9, -12, -9],\n [0, 10, 0, 0, -11, -4, 11, -5],\n [-6, -9, 5, -10, -7, -1, -1, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "336765447", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-5, 9, 9, -12, -9, 8, -2, -10],\n [0, 12, 4, 9, 9, -3, 8, -1],\n [2, 8, -3, 1, 0, -8, -7, 11],\n [-11, 9, 4, -9, 1, -3, -10, 12],\n [-10, 2, -7, 4, -1, 9, 7, 11],\n [-2, 12, -9, -7, -12, 7, 10, 3],\n [2, 4, -5, -1, 9, 8, -3, 2],\n [-4, -11, -8, -7, -6, 8, 12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272477271", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[10, 1, 2, 10, 0, 7, 1, -2],\n [1, -9, -2, -8, 0, 4, 0, -2],\n [2, -2, -12, 2, 6, 8, -4, 4],\n [10, -8, 2, -10, -6, -6, 0, -2],\n [0, 0, 6, -6, -5, -1, 11, -6],\n [7, 4, 8, -6, -1, 9, -4, -2],\n [1, 0, -4, 0, 11, -4, 0, 4],\n [-2, -2, 4, -2, -6, -2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386675826", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (1, 5) of the result:\nA =\n[[-2, 0, 6, -2, 8, -6, 4, 0],\n [0, 2, 2, -5, 5, 2, 2, -9],\n [6, 2, -4, 0, 6, 4, -4, 4],\n [-2, -5, 0, 8, -1, -5, -4, 2],\n [8, 5, 6, -1, 1, 0, -6, 2],\n [-6, 2, 4, -5, 0, -12, -2, 1],\n [4, 2, -4, -4, -6, -2, -4, 0],\n [0, -9, 4, 2, 2, 1, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168255014", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[12, 5, 6, 10, 10, -7, 9, 5],\n [-7, -9, -1, 6, -11, 4, -2, -2],\n [8, 3, -11, -11, 10, -5, 0, -3],\n [-5, -9, 2, -12, -2, -6, 4, 7],\n [11, 5, 9, 9, -1, -4, -8, -3],\n [-9, -8, -3, -2, 8, 11, -3, -5],\n [-11, 10, -5, 3, 9, -8, 12, -10],\n [-1, 0, 0, -3, -9, -4, 9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103320198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[10, -11, 6, -12, 12, -6, 4, -10],\n [7, 7, 8, -10, -10, 4, -6, 1],\n [4, 5, 0, 7, 7, 8, 5, -9],\n [-12, 5, -12, 0, 7, 7, 10, -3],\n [-2, -4, -4, -8, -12, 4, 9, -11],\n [11, 0, -4, -9, -8, -2, 11, 6],\n [8, -10, -1, 6, 6, 0, -6, 2],\n [10, -6, -5, -8, 8, 1, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1657887340", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 8) of the matrix A^5 where A is:\n[[-3, 5, 2, -2, 10, -4, 4, -7],\n [5, 6, -4, -8, 2, 4, 4, -2],\n [2, -4, -8, 0, 0, -1, 3, 2],\n [-2, -8, 0, 11, 2, 2, -8, -4],\n [10, 2, 0, 2, 11, 10, 2, -4],\n [-4, 4, -1, 2, 10, 9, -7, -4],\n [4, 4, 3, -8, 2, -7, 8, 0],\n [-7, -2, 2, -4, -4, -4, 0, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2944174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (7, 5) of the result:\nA =\n[[-9, 2, -4, -8, 0, 10, 5, -8],\n [12, 3, 6, 1, 12, 3, 2, 9],\n [-9, -6, 3, 11, 9, 8, 9, 8],\n [-5, 4, 3, 10, -3, -3, -11, -4],\n [4, -2, -3, 9, 12, 4, -9, 3],\n [7, 2, 12, 8, -8, -7, 4, -12],\n [12, 6, -9, 4, -4, 11, -11, -5],\n [2, -6, -7, -12, 2, 10, -6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249722", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[4, -11, -4, -4, 0, -7, -7, 7],\n [7, 8, -10, 4, 4, -1, 3, 2],\n [0, 10, -12, 4, -10, 2, -9, -9],\n [5, 4, 6, -2, 7, -10, -5, 1],\n [-12, 1, -11, 10, -9, 11, 6, -7],\n [12, -12, 4, -5, 6, 8, -12, -8],\n [3, -7, -5, 0, 3, -10, 6, -1],\n [3, -2, -3, 12, 7, -9, -1, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "379978335", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-11, 11, 9, 6, 12, -8, -5, -6],\n [1, 11, 10, -10, 5, 3, 10, 6],\n [6, 5, 7, 3, -5, -12, 4, -1],\n [8, -2, -8, -1, 4, -7, -12, -8],\n [12, 1, -8, 9, 11, -12, 5, 3],\n [-4, 6, 9, -8, -11, 2, -6, -9],\n [-12, 0, 7, 9, -6, 2, 10, 1],\n [10, 6, 9, 11, 7, 11, 5, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76727935787", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-4, 12, -5, -3, 4, -11, -7, -8],\n [-4, -8, 5, 7, -4, 4, 4, -1],\n [-6, -10, -3, -11, 12, -10, 3, -11],\n [11, -3, -7, 9, -2, 10, -6, 2],\n [-7, 7, -4, 9, 7, -1, 6, 7],\n [-10, 2, -11, 8, -11, 9, -10, -7],\n [2, -3, -4, -12, 3, -7, -4, -9],\n [-11, -9, -12, 6, 12, -3, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43920938", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 7) of the 6th power of the matrix:\n[[9, 6, 3, 8, 11, 9, -9, -11],\n [12, 0, -12, 4, 0, -9, -6, 4],\n [-4, -9, 6, -12, -3, -9, -4, 0],\n [1, -3, -7, 3, -7, 4, -3, 5],\n [9, 5, -10, 7, 8, 12, 2, 2],\n [-9, -4, 6, 11, 4, -2, 12, -4],\n [-3, 5, 7, 0, -5, -6, 4, 8],\n [10, 2, 7, 2, -12, 12, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9665694", "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, 3, -11, -5, -2, 5, -10, -12],\n [-2, 3, 5, 3, 10, -3, 5, -7],\n [6, -9, 0, 11, 1, -10, -3, -7],\n [-12, 10, 11, 1, -5, 6, 1, -3],\n [4, -4, -7, -2, 12, -6, 4, -12],\n [9, -8, -4, 5, 11, 8, -11, -2],\n [-7, -5, -9, 5, -2, -8, 2, 5],\n [-11, 9, -2, 12, 0, -9, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2791364480", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^5 where A is:\n[[-2, 5, 7, -4, -4, 0, 6, -1],\n [5, -7, -2, 7, -6, 2, -5, 2],\n [7, -2, 4, 2, 10, 2, -1, -8],\n [-4, 7, 2, 6, -6, 0, -6, -3],\n [-4, -6, 10, -6, 10, 6, 1, 4],\n [0, 2, 2, 0, 6, 10, -2, -10],\n [6, -5, -1, -6, 1, -2, -12, -1],\n [-1, 2, -8, -3, 4, -10, -1, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "810235", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 7th power of the matrix:\n[[-4, 6, -4, 4, 10, 0, 0, 10],\n [6, -10, 6, 2, 2, 2, -7, 2],\n [-4, 6, 7, 5, -4, 8, 5, 1],\n [4, 2, 5, -11, -2, -8, 0, 0],\n [10, 2, -4, -2, -2, -7, 8, 2],\n [0, 2, 8, -8, -7, -4, 2, -7],\n [0, -7, 5, 0, 8, 2, 9, -5],\n [10, 2, 1, 0, 2, -7, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "652104940", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-10, -3, -5, 2, -3, -12, 5, -11],\n [6, 0, 9, -12, -11, 3, 2, 0],\n [3, 4, 8, -6, 11, 4, -6, 0],\n [-8, 4, -10, -6, 4, -6, 8, -12],\n [4, 4, -2, 12, -10, 2, 8, -2],\n [3, 12, 9, -4, 11, 11, -12, 12],\n [9, 3, -4, 6, -1, 6, 9, -4],\n [-6, 1, 6, 6, -11, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23973937", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the 6th power of the matrix:\n[[-10, 0, 2, -5, 9, -4, 4, 3],\n [0, -11, -7, 4, -8, -2, 2, 3],\n [2, -7, 2, 4, 10, 1, 6, 6],\n [-5, 4, 4, 9, 2, -2, -6, -3],\n [9, -8, 10, 2, -5, 7, -7, -2],\n [-4, -2, 1, -2, 7, -4, -8, 2],\n [4, 2, 6, -6, -7, -8, -8, 4],\n [3, 3, 6, -3, -2, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5405094", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, -4, -7, 4, 3, 10, -10, 8],\n [-9, -3, -8, 8, 9, -3, -1, -3],\n [0, -2, 9, 3, -5, -5, 12, -5],\n [0, -11, -1, -3, -1, -2, 2, 3],\n [4, -11, 5, -1, 6, 10, 5, 4],\n [-7, 12, 2, -10, -7, -10, -12, 0],\n [8, 1, 0, -9, -6, 9, -3, -6],\n [8, 2, 2, -9, 10, 10, -7, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44301274", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[7, -8, 7, -1, -12, -5, -12, -8],\n [9, -7, 8, -10, 2, -8, 11, 1],\n [5, 3, -7, 12, 11, 1, 11, -5],\n [-6, -5, 0, -7, 5, -11, -5, -2],\n [-12, 9, -7, 3, 7, -1, -2, -3],\n [-10, 0, -10, 2, 3, 0, 4, -10],\n [7, -2, 8, 6, 9, -2, 3, 8],\n [-10, 9, -7, 1, 11, 5, 4, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38170764", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[10, 0, -2, -4, -2, 2, 1, 2],\n [0, 6, 12, -10, -2, -2, -6, 3],\n [-2, 12, 7, 6, 8, 4, 10, -2],\n [-4, -10, 6, -8, -2, 6, 4, 4],\n [-2, -2, 8, -2, -3, 8, -8, 9],\n [2, -2, 4, 6, 8, 9, 8, 0],\n [1, -6, 10, 4, -8, 8, -4, 3],\n [2, 3, -2, 4, 9, 0, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24138089", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, 2, -5, -1, 9, 9, 5, 2],\n [4, 1, 1, 5, 7, 5, 3, -12],\n [10, -2, 2, -1, -5, 9, 7, -7],\n [-10, 11, 0, 0, -11, -8, 4, -7],\n [-11, -9, 9, -2, -5, -1, -5, -2],\n [9, 7, -5, -5, 4, 7, 7, 10],\n [3, 1, -2, -6, 3, 0, 2, 11],\n [3, 8, 10, 11, -4, -10, 6, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "478759461", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-8, -3, 4, 2, 10, 12, -5, 2],\n [8, 1, 7, -6, 8, 10, -1, 4],\n [4, -3, 6, 1, -2, -11, 5, -6],\n [-1, -11, 7, 5, -7, 11, -3, 7],\n [2, -8, 7, -10, -8, 12, -5, -5],\n [-5, -1, 11, 10, -5, -2, 1, -5],\n [11, -3, -6, 4, -9, 0, -9, -8],\n [9, -9, 5, -7, 11, 11, 10, 9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "880838525", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-11, 6, 4, -2, -6, -4, 0, -8],\n [6, 11, -6, 4, 4, 7, 0, -4],\n [4, -6, 12, 5, 0, 2, 5, -3],\n [-2, 4, 5, 12, 0, 0, 2, 1],\n [-6, 4, 0, 0, 2, 4, 2, 2],\n [-4, 7, 2, 0, 4, 8, 6, -3],\n [0, 0, 5, 2, 2, 6, -6, 2],\n [-8, -4, -3, 1, 2, -3, 2, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12943165", "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, 0, 0, 4, 4, -8, -7, 6],\n [0, 12, 1, 9, -9, -6, -5, 12],\n [0, -7, -7, 11, 8, -10, -10, 0],\n [9, -11, 3, 9, -7, -5, 10, -5],\n [12, -7, 1, -10, -3, -10, -1, 4],\n [-8, 7, 12, -4, 8, 7, -6, 9],\n [-9, 0, 0, -3, 5, 4, 7, 7],\n [0, 4, 9, -9, -12, -12, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30395248722", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[4, 11, -5, 5, 0, 10, 1, -5],\n [-5, 2, 0, -6, -8, 4, 12, 3],\n [10, -11, 9, 5, 4, -6, 0, 5],\n [1, 5, 0, -2, 8, 8, 3, 10],\n [4, -5, 6, 7, 2, -4, 7, -3],\n [-1, 8, 10, 7, -12, 12, 7, -4],\n [9, 2, -12, -1, -10, -2, -11, 3],\n [-4, 2, -1, -12, 0, 1, 12, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12799631990", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 7) of the 6th power of the matrix:\n[[-5, -4, 4, -3, 4, 0, -6, 3],\n [-4, -6, 4, 6, -4, 0, 7, 1],\n [4, 4, -7, 2, 6, 0, 0, 2],\n [-3, 6, 2, -4, 5, 0, -2, -3],\n [4, -4, 6, 5, -11, -6, 8, -8],\n [0, 0, 0, 0, -6, -11, -2, 10],\n [-6, 7, 0, -2, 8, -2, -2, -4],\n [3, 1, 2, -3, -8, 10, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40007303", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 1) of the 5th power of the matrix:\n[[-10, -2, -6, 10, -8, -6, 6, 6],\n [-2, -12, -1, -2, 4, -4, 2, -9],\n [-6, -1, -4, 1, 5, 7, 0, 10],\n [10, -2, 1, 12, -8, -3, 0, 6],\n [-8, 4, 5, -8, -3, 4, 0, 10],\n [-6, -4, 7, -3, 4, -10, 2, 0],\n [6, 2, 0, 0, 0, 2, 7, -6],\n [6, -9, 10, 6, 10, 0, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1298230", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[12, -1, -4, 6, 10, 2, 2, 2],\n [-1, 8, -6, 2, -8, 7, 4, 5],\n [-4, -6, 12, 6, 10, 10, 1, -9],\n [6, 2, 6, -1, -2, 7, -8, -4],\n [10, -8, 10, -2, 10, -8, 3, 0],\n [2, 7, 10, 7, -8, 10, -1, -1],\n [2, 4, 1, -8, 3, -1, -7, -5],\n [2, 5, -9, -4, 0, -1, -5, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "903392588", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-1, 2, 5, -4, 0, -2, -8, 6],\n [2, 2, -1, 10, 4, 8, 0, -2],\n [5, -1, -5, -6, 2, -10, -6, 12],\n [-4, 10, -6, 8, -2, 4, 6, -8],\n [0, 4, 2, -2, 2, 4, 0, 1],\n [-2, 8, -10, 4, 4, 1, 1, -8],\n [-8, 0, -6, 6, 0, 1, 9, 4],\n [6, -2, 12, -8, 1, -8, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5530432931", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[10, 8, -8, -4, -4, -2, -2, -9],\n [8, 5, -5, 4, 4, -4, -4, -5],\n [-8, -5, 10, -4, 8, -1, -2, 4],\n [-4, 4, -4, 6, 6, -8, -4, -1],\n [-4, 4, 8, 6, -6, 0, 4, 0],\n [-2, -4, -1, -8, 0, -8, -3, 2],\n [-2, -4, -2, -4, 4, -3, 0, -1],\n [-9, -5, 4, -1, 0, 2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70395309077", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-6, -3, -3, -6, -4, 2, -5, 0],\n [-3, -3, 2, -2, -2, 0, -8, -2],\n [-3, 2, 8, 2, -4, 4, 2, 10],\n [-6, -2, 2, 1, -3, -10, 3, -10],\n [-4, -2, -4, -3, -4, -6, 2, 7],\n [2, 0, 4, -10, -6, -2, -5, 6],\n [-5, -8, 2, 3, 2, -5, 9, 7],\n [0, -2, 10, -10, 7, 6, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44571049790", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 3) of the matrix A^6 where A is:\n[[-2, 0, -3, -10, -4, -1, 10, 1],\n [-12, 5, 4, -4, -4, 10, -3, 6],\n [2, -8, 2, 7, 10, 12, -11, 0],\n [11, 3, 2, 12, -3, 1, -3, 12],\n [1, 10, -4, 12, 1, -10, 7, 3],\n [-11, -3, -10, -2, -2, 8, 8, 9],\n [0, -6, 10, 4, -11, -1, 12, -3],\n [5, 9, -2, 3, 4, 6, 5, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26974611", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[8, 3, -2, 6, -4, 0, 2, 5],\n [3, -3, -3, -1, -3, -2, 0, -10],\n [-2, -3, -6, 3, 0, -1, -2, 4],\n [6, -1, 3, 4, 10, -8, 4, 1],\n [-4, -3, 0, 10, 2, 0, 0, 8],\n [0, -2, -1, -8, 0, 7, -1, 1],\n [2, 0, -2, 4, 0, -1, 0, -5],\n [5, -10, 4, 1, 8, 1, -5, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "693702567", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-11, 8, 5, -1, -8, 9, -8, 4],\n [8, 10, -2, -4, 2, 0, -9, -1],\n [5, -2, 2, -1, 0, -4, 6, 6],\n [-1, -4, -1, 2, -3, 0, 2, -4],\n [-8, 2, 0, -3, 7, 5, -6, -10],\n [9, 0, -4, 0, 5, -3, 4, -7],\n [-8, -9, 6, 2, -6, 4, 8, 8],\n [4, -1, 6, -4, -10, -7, 8, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155423904", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[3, 0, 2, -8, 6, 1, 2, -8],\n [0, 10, -2, -6, -4, 6, 8, 4],\n [2, -2, -2, 0, 0, -2, -3, -4],\n [-8, -6, 0, -9, 0, 5, -2, -2],\n [6, -4, 0, 0, -10, 1, -8, -6],\n [1, 6, -2, 5, 1, -11, -2, 8],\n [2, 8, -3, -2, -8, -2, 0, 7],\n [-8, 4, -4, -2, -6, 8, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1575967808", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, 12, 10, -2, -2, -2, 7, -10],\n [12, -11, -6, 3, -6, -4, -6, 4],\n [10, -6, 3, 8, 0, -3, -10, 9],\n [-2, 3, 8, -11, 3, 6, -6, -5],\n [-2, -6, 0, 3, 11, 4, -6, 0],\n [-2, -4, -3, 6, 4, -11, 4, 0],\n [7, -6, -10, -6, -6, 4, 1, 5],\n [-10, 4, 9, -5, 0, 0, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11427783176", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the 7th power of the matrix:\n[[-7, -8, 7, 2, 5, -9, -1, 4],\n [-8, 6, 0, -5, 6, -2, -6, -2],\n [7, 0, 10, 5, -6, 4, -3, 6],\n [2, -5, 5, 2, 0, -5, -6, -2],\n [5, 6, -6, 0, 2, 4, -10, 9],\n [-9, -2, 4, -5, 4, 10, 4, -6],\n [-1, -6, -3, -6, -10, 4, 9, -2],\n [4, -2, 6, -2, 9, -6, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-504964194", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[10, 0, -9, -5, 8, 6, 3, 3],\n [0, -10, 6, -4, -7, -7, 4, 2],\n [-9, 6, -11, -2, -6, -2, 6, 6],\n [-5, -4, -2, -8, -5, 0, 2, 5],\n [8, -7, -6, -5, 6, 10, 6, -4],\n [6, -7, -2, 0, 10, 9, 1, 1],\n [3, 4, 6, 2, 6, 1, 7, -4],\n [3, 2, 6, 5, -4, 1, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21243389", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[11, 6, 3, -6, 6, -1, 2, 10],\n [1, -2, -3, -2, -7, -11, -2, 6],\n [-7, 1, 7, -7, 4, -3, -12, -10],\n [-5, -5, 7, 9, 2, 11, -6, -2],\n [-6, -9, 12, -1, -7, 1, -1, -2],\n [6, 8, -8, 1, 8, 11, 3, 12],\n [0, 12, 9, 9, 12, 7, 9, -9],\n [-2, 4, -6, 1, -2, 9, -4, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19445961", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[0, 10, 5, -2, 2, 12, 12, 9],\n [6, -12, -9, 1, 1, -10, 4, -10],\n [3, 1, 7, 0, 2, 1, 11, 12],\n [6, -7, -3, 2, 8, 9, 7, -7],\n [10, 12, -3, -6, 9, 4, 5, 4],\n [-4, -3, -3, 12, -6, 3, 5, -7],\n [7, -12, -12, -1, 8, -11, -9, 4],\n [-9, -2, 9, -9, -12, -6, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1352076373", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-10, -2, 8, 8, -8, 8, -2, 3],\n [-2, 12, 0, 0, -11, 6, -6, -4],\n [8, 0, 3, -5, 6, 0, -6, 0],\n [8, 0, -5, -1, 0, -8, 2, -2],\n [-8, -11, 6, 0, -7, -1, 4, -4],\n [8, 6, 0, -8, -1, -8, 3, 2],\n [-2, -6, -6, 2, 4, 3, -4, 6],\n [3, -4, 0, -2, -4, 2, 6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3468224159", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[7, -6, 8, -1, 9, 5, -10, -6],\n [-2, 5, -1, -7, -8, -12, -1, -2],\n [-9, 5, -9, 4, -11, 11, 9, -11],\n [-1, -7, -3, 12, 10, 12, 8, 10],\n [3, 1, -6, 6, 10, 4, -4, 0],\n [9, -8, 10, -8, -3, 8, -3, -6],\n [2, -6, 2, -10, 6, -3, 2, -10],\n [-7, -1, 2, -7, 0, 6, -10, -5]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-777964821", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 1) of the 5th power of the matrix:\n[[-5, 10, 7, 2, -9, 6, 8, -10],\n [0, -5, 10, 3, 0, -10, 3, -4],\n [1, 0, 8, 12, -6, 2, -6, -7],\n [-11, -4, 9, 11, 4, -8, -1, -12],\n [-3, -2, 3, 1, -5, 11, 4, 12],\n [5, -1, 12, 4, 1, 3, 1, -4],\n [-9, 12, 10, -2, -7, 2, -8, -2],\n [12, 5, 0, -2, 1, 5, 12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1822707", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[11, 2, -4, -5, 7, -12, -9, 1],\n [12, -11, 3, -10, -5, -7, 3, 11],\n [3, -6, 0, 0, -8, 12, 7, 9],\n [5, 2, 5, -11, -3, 10, 0, 5],\n [2, -1, 2, 0, 5, 2, 12, 10],\n [-2, 6, -10, -6, 8, 1, 1, 9],\n [0, -1, 11, -4, -12, 6, -2, 10],\n [9, 10, 11, 9, 6, 5, -1, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "700425349", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 8) of the 6th power of the matrix:\n[[-12, 0, 5, 6, 1, -2, -6, -6],\n [0, 3, -8, 4, 8, 10, 4, -2],\n [5, -8, 0, -2, 2, 0, 8, 8],\n [6, 4, -2, 8, 5, -8, 0, -2],\n [1, 8, 2, 5, -2, 9, 3, 2],\n [-2, 10, 0, -8, 9, 12, -2, 2],\n [-6, 4, 8, 0, 3, -2, -5, 1],\n [-6, -2, 8, -2, 2, 2, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19862587", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[0, 11, 10, -2, -4, 0, -6, 4],\n [11, 7, -2, 4, -2, -3, 4, -1],\n [10, -2, -4, -3, 4, 0, -2, 0],\n [-2, 4, -3, -11, 0, -10, 0, 2],\n [-4, -2, 4, 0, 5, 8, 6, 0],\n [0, -3, 0, -10, 8, 0, 7, -2],\n [-6, 4, -2, 0, 6, 7, 6, 9],\n [4, -1, 0, 2, 0, -2, 9, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1104883571", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-11, 2, -2, -2, 6, 6, -6, 10],\n [2, -7, 2, -8, -1, 2, -2, -4],\n [-2, 2, 12, 1, -2, 8, 2, -7],\n [-2, -8, 1, -4, 6, -1, -7, -2],\n [6, -1, -2, 6, 7, -10, 0, -6],\n [6, 2, 8, -1, -10, 0, -3, -2],\n [-6, -2, 2, -7, 0, -3, 1, -6],\n [10, -4, -7, -2, -6, -2, -6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33314599651", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, -6, 1, -2, 4, 2, 2, -2],\n [-6, 9, 6, 10, 2, -6, -8, 6],\n [1, 6, 6, -2, 2, 9, 4, 6],\n [-2, 10, -2, 0, -10, 10, 6, -6],\n [4, 2, 2, -10, -10, 6, -2, 0],\n [2, -6, 9, 10, 6, 2, 6, 2],\n [2, -8, 4, 6, -2, 6, -10, 8],\n [-2, 6, 6, -6, 0, 2, 8, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "502307421", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, 3, 2, 9, -5, 6, -5, 5],\n [3, 7, 6, -3, 4, 0, 0, -6],\n [-3, -11, -9, 12, -7, 11, 5, 10],\n [-7, 12, 10, 4, 1, 11, -2, 6],\n [-11, -10, -2, -7, 1, 6, 3, 8],\n [9, 11, -6, -5, 6, 7, 3, 9],\n [-6, -4, 0, -12, -5, 11, 9, -9],\n [-10, -10, 9, 0, -5, -6, -12, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "770508388", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-7, -6, -1, 10, -4, -2, -3, 8],\n [-12, 5, -9, -8, -4, 4, -10, 3],\n [-8, 3, -10, 7, 2, -10, 7, 1],\n [3, 4, 11, 7, 10, 5, 5, 9],\n [1, 5, 2, 2, -7, 2, 5, -9],\n [10, -5, 2, -10, 2, 0, -4, -11],\n [11, -5, 7, 4, 0, -12, -11, 2],\n [-1, 1, 12, -11, 5, 9, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3118253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[12, -3, -4, -8, 10, -8, -2, -10],\n [-3, 12, 7, -1, 0, 2, 9, -2],\n [-4, 7, 5, 6, -5, -2, 6, 2],\n [-8, -1, 6, -6, -2, -5, 6, -9],\n [10, 0, -5, -2, 3, 9, -8, -10],\n [-8, 2, -2, -5, 9, -11, 3, -7],\n [-2, 9, 6, 6, -8, 3, -7, 6],\n [-10, -2, 2, -9, -10, -7, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58060021279", "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, -12, -3, -4, 10, -9],\n [-7, 3, -11, 10, 5, -3, 11, 11],\n [4, 0, 11, 5, 9, 0, 4, -8],\n [-2, -6, -3, 4, 2, 5, 10, 9],\n [6, -11, -9, -10, -6, 11, 5, -3],\n [-6, -5, -7, 9, -12, -9, 1, 4],\n [7, 5, -2, 8, 1, -4, 2, -1],\n [-3, 6, 11, 6, -7, 7, 11, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "571156904", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-5, -3, 8, 4, 6, 0, 4, -2],\n [-3, 9, 4, 2, -10, 7, -7, -2],\n [8, 4, -3, -5, 0, -4, 6, 0],\n [4, 2, -5, 10, 11, 4, 4, 4],\n [6, -10, 0, 11, 6, 10, 1, -6],\n [0, 7, -4, 4, 10, -7, -4, -4],\n [4, -7, 6, 4, 1, -4, 9, 4],\n [-2, -2, 0, 4, -6, -4, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "752012201", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, 0, 2, 0, -4, 0, -11, 1],\n [0, -9, 3, -6, 2, -9, 8, -10],\n [2, 3, 4, 0, -6, -2, -2, -1],\n [0, -6, 0, 2, 9, -8, 4, -2],\n [-4, 2, -6, 9, 10, 0, 2, 6],\n [0, -9, -2, -8, 0, 10, 2, -10],\n [-11, 8, -2, 4, 2, 2, 10, -4],\n [1, -10, -1, -2, 6, -10, -4, -4]], determine the value at position (1, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16803370", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-4, 10, -6, -10, 5, -2, -6, -4],\n [-12, 1, 7, -7, -6, -3, -6, -11],\n [-9, 8, 4, -12, -3, 6, 2, -3],\n [6, -1, 11, 3, -4, 2, 4, 1],\n [5, -11, -9, 5, -6, 0, 2, 12],\n [10, 9, -12, -2, -3, 12, -8, 3],\n [-2, 8, -7, -4, 0, 11, -5, 1],\n [11, -12, 4, 11, -8, 12, -11, 12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "443892681", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 8) of the 7th power of the matrix:\n[[11, -4, -4, 4, 8, 5, 5, 1],\n [-4, -2, 6, 6, 8, 1, 10, -8],\n [-4, 6, 5, -4, 2, 8, -9, 0],\n [4, 6, -4, 1, 1, -2, -3, 6],\n [8, 8, 2, 1, -1, 2, -6, 6],\n [5, 1, 8, -2, 2, 12, -1, -3],\n [5, 10, -9, -3, -6, -1, 6, 1],\n [1, -8, 0, 6, 6, -3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "802868065", "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, -4, 4, 5, -8, 3, 4, -6],\n [-4, 1, -6, 5, 0, -1, -6, -4],\n [4, -6, 9, 3, 8, -2, 2, -5],\n [5, 5, 3, -6, -2, 0, -6, -2],\n [-8, 0, 8, -2, 7, -3, 3, 0],\n [3, -1, -2, 0, -3, -1, 4, -5],\n [4, -6, 2, -6, 3, 4, 3, -4],\n [-6, -4, -5, -2, 0, -5, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1208972084", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[4, 1, -6, 7, 0, 0, -4, 4],\n [1, -5, -5, 0, 4, 2, -2, -9],\n [-6, -5, -7, 4, 0, 0, -1, -3],\n [7, 0, 4, 6, -4, -7, 4, 2],\n [0, 4, 0, -4, -8, 6, 1, 2],\n [0, 2, 0, -7, 6, 8, -6, -7],\n [-4, -2, -1, 4, 1, -6, 8, 11],\n [4, -9, -3, 2, 2, -7, 11, 1]], determine the value at position (7, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238961", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (1, 7) of the result:\nA =\n[[10, 1, -3, -1, -7, -1, 10, 1],\n [-11, -4, -3, 4, 4, -10, 6, -12],\n [-1, -6, -9, -3, 0, -11, -3, 8],\n [9, 12, -9, 5, -8, 6, -11, -1],\n [4, -3, -11, -7, -5, 6, -2, 12],\n [-1, -4, -11, -5, -2, 8, -9, -3],\n [8, 7, 3, -5, -9, -3, -1, 1],\n [3, 9, 5, 8, 9, 8, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90661007", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-6, 7, 11, 10, -6, -4, -12, -7],\n [-7, 9, -1, 9, -1, -3, 10, -7],\n [4, 6, 5, -7, 11, 6, -3, 11],\n [-5, 8, 11, -7, 8, 12, -6, 11],\n [-12, 5, 11, 12, 7, -1, 3, -3],\n [-3, 1, 12, 7, -3, -3, 12, -2],\n [10, -11, 12, 7, -5, 10, -6, -5],\n [-12, 8, -11, 5, 2, -12, -8, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123168373341", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[7, -8, -2, 1, -2, 8, 0, 5],\n [-8, -1, 0, 2, 4, 5, -4, -6],\n [-2, 0, -12, 4, 6, -6, 5, -8],\n [1, 2, 4, -8, -2, 10, 4, -2],\n [-2, 4, 6, -2, 8, 6, 0, 8],\n [8, 5, -6, 10, 6, 6, -5, -3],\n [0, -4, 5, 4, 0, -5, -8, 6],\n [5, -6, -8, -2, 8, -3, 6, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8400399", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-5, 2, 6, -8, 2, -2, -2, 2],\n [2, 0, -5, -2, 0, -2, -3, 3],\n [6, -5, -5, -10, 1, -1, -3, 10],\n [-8, -2, -10, -2, 2, -2, -1, -1],\n [2, 0, 1, 2, -6, 2, -2, 1],\n [-2, -2, -1, -2, 2, -3, 6, -6],\n [-2, -3, -3, -1, -2, 6, -8, 5],\n [2, 3, 10, -1, 1, -6, 5, -11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100362365", "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, -6, -4, 4, -4, 5, 1],\n [-6, -9, 7, -3, -2, 2, 3, -2],\n [-6, 7, -3, 4, 4, -4, -9, 0],\n [-4, -3, 4, 6, -6, -2, 2, -3],\n [4, -2, 4, -6, 12, 9, 0, -6],\n [-4, 2, -4, -2, 9, 5, -6, -2],\n [5, 3, -9, 2, 0, -6, -4, -4],\n [1, -2, 0, -3, -6, -2, -4, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "992098600", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-3, -8, -1, 0, -4, 6, 0, 4],\n [-8, 9, -5, 7, 2, 0, 7, 1],\n [-1, -5, -9, -2, 10, -4, 8, 1],\n [0, 7, -2, 2, 0, 1, 6, -2],\n [-4, 2, 10, 0, 3, 2, 6, 5],\n [6, 0, -4, 1, 2, -10, 6, 6],\n [0, 7, 8, 6, 6, 6, -1, 9],\n [4, 1, 1, -2, 5, 6, 9, 7]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1131512111", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the 7th power of the matrix:\n[[2, 10, 3, -8, 8, 2, 4, 5],\n [-8, 0, 6, 0, 5, 1, -9, -9],\n [7, 7, 6, 0, -1, -6, 12, -1],\n [8, -9, -11, -11, -8, 10, -3, -3],\n [-4, 0, -6, -8, -3, -3, -7, 6],\n [8, -5, -12, 4, -6, 1, 8, 8],\n [4, -4, 4, -8, 12, 7, -5, -7],\n [-2, 6, -9, 5, -12, 0, 1, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94260816", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-12, -2, 4, -9, -1, -3, -7, 12],\n [-12, -6, 8, 3, 11, 1, 10, 7],\n [7, -7, 9, 12, -8, 11, 8, 5],\n [2, -7, 12, 6, -12, -12, 0, -10],\n [-3, 8, -10, -4, -5, -10, 12, 0],\n [-7, 0, 10, 7, 7, -1, 0, -11],\n [8, 11, 10, 3, 10, -7, 6, 8],\n [0, 4, 10, -4, 4, -11, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15618416908", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[11, -6, 9, -3, -3, 7, -4, 4],\n [2, -11, -9, 6, 4, -8, -6, 5],\n [8, 9, -6, 4, -6, -9, -5, 0],\n [-9, -7, 12, -8, -1, -9, 11, -4],\n [-9, 6, 11, 1, -8, 5, -3, 12],\n [6, -1, 5, 4, 11, -2, -10, 10],\n [4, -12, 2, -4, 2, 11, -10, 9],\n [6, 0, -1, 7, -12, 8, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2556562", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -3, 2, -6, 9, 5, 3, 1],\n [5, -6, 4, 5, -1, -5, 9, -11],\n [-6, -9, 5, -7, -4, -4, 1, -5],\n [6, -10, 5, -8, 1, -9, -6, 7],\n [12, -1, -11, -2, 1, 9, 10, 3],\n [7, -7, 10, -9, 2, 11, 12, -12],\n [-6, 12, -1, -3, -8, -1, 5, -3],\n [-7, -1, -6, 5, -11, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44128855", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the 6th power of the matrix:\n[[4, -9, -6, -4, 6, 10, -6, 10],\n [-11, -7, 5, -7, 0, 6, -11, -1],\n [2, 1, -7, 5, -8, 5, -10, -10],\n [9, 9, -3, 6, -10, -1, 3, 4],\n [-6, 0, 11, -11, -9, -3, -6, 11],\n [4, 7, -7, 6, -8, -3, -4, 0],\n [6, 8, 11, -7, -9, 11, -10, -10],\n [-9, 12, -8, -5, 3, 9, -10, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6433786", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 12, -5, 0, -9, 1, 1, 0],\n [-7, 4, -9, -5, 4, -10, 4, -4],\n [-11, 12, 0, 7, -11, 7, -2, 9],\n [2, -2, 10, -10, -10, -1, 11, -8],\n [7, -6, -6, 0, -4, 12, 8, 0],\n [-1, 0, 11, -3, -12, 12, -5, 9],\n [3, 0, -10, -10, 11, -8, -2, -6],\n [8, 11, -3, -3, 7, -11, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51996731", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 7) of the 6th power of the matrix:\n[[-2, 0, -6, 0, -11, -7, -4, 7],\n [12, -11, 5, 3, 12, -1, -6, -6],\n [4, 0, -2, -7, 10, 1, -7, -7],\n [-11, 9, 7, 12, 2, 4, -5, -8],\n [4, 7, -12, 9, 5, 2, -8, -6],\n [5, -7, 9, 8, -8, 6, -3, 2],\n [-3, 3, -1, 5, 10, -12, 3, 9],\n [-7, -10, -11, -11, 0, -4, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36146487", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^7 where A is:\n[[10, 8, -6, 0, 7, 11, 0, -6],\n [-3, 2, 8, -7, -8, 10, -11, 8],\n [2, 3, 6, -4, 9, 6, -6, -9],\n [-10, 11, 7, -2, -12, -7, -2, -12],\n [8, -6, -7, 1, -11, -9, -2, 2],\n [5, -12, -10, -10, -6, -12, 12, -2],\n [-7, 7, -10, 6, -11, 5, -1, -3],\n [-8, -4, -11, -11, -7, -3, 5, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-770986893", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, 9, 8, 4, 2, -7, 3, 4],\n [-10, -3, -8, 1, 8, 0, -7, -1],\n [-5, -8, 2, 3, -12, 3, -8, -10],\n [7, 2, 0, 11, 3, 10, -2, 8],\n [-11, 9, -7, -7, 1, 12, -2, -5],\n [-5, -12, 8, -6, -7, 8, -5, 6],\n [9, 8, 11, 7, -5, 1, 5, 12],\n [3, -4, 2, -3, 9, 3, -9, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5425582014", "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[[0, 6, -6, 10, -8, 8, 0, 3],\n [6, -7, 8, -8, 6, 10, -1, 8],\n [-6, 8, 11, -2, 1, 6, -6, 1],\n [10, -8, -2, -6, 2, -10, -2, -6],\n [-8, 6, 1, 2, -12, 2, 3, -8],\n [8, 10, 6, -10, 2, -7, 0, -4],\n [0, -1, -6, -2, 3, 0, 7, -9],\n [3, 8, 1, -6, -8, -4, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128032761245", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[7, 6, -7, 6, -4, 0, 2, 0],\n [6, 9, 5, 1, 3, -4, 2, 0],\n [-7, 5, -9, 3, -7, -4, -3, -2],\n [6, 1, 3, 2, 5, -8, -2, -8],\n [-4, 3, -7, 5, -8, -7, -3, -4],\n [0, -4, -4, -8, -7, -3, 4, 0],\n [2, 2, -3, -2, -3, 4, -12, 0],\n [0, 0, -2, -8, -4, 0, 0, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48832140", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, -9, 0, -12, 11, -10, 3, 9],\n [-9, 12, 10, 12, 3, 6, -12, -8],\n [6, 9, 11, -2, 0, 7, -8, 8],\n [-9, -9, -9, -9, 7, 8, 5, 5],\n [3, -4, 5, 9, -11, 8, -9, -1],\n [-6, 2, -6, 9, 8, 4, 3, 6],\n [-4, 1, 4, -8, -11, 7, 3, 1],\n [1, -12, -10, -6, 2, 6, 7, -11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2000801548", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[6, -4, 6, -8, 5, 3, -9, -1],\n [-6, 1, 10, -1, -10, -8, 4, -3],\n [-3, -2, 4, -8, 0, -3, -4, 4],\n [-12, -9, -9, 5, -4, 12, 5, 1],\n [12, 2, -7, 11, -3, 2, -9, 5],\n [5, 12, 4, -1, -6, 3, -2, 1],\n [-10, 6, 5, -3, -7, 0, -3, 5],\n [7, 3, 12, 12, -7, 0, -9, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48305788", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[1, -10, 6, -8, 2, -6, 0, 4],\n [-10, 9, -4, 6, -4, 1, -7, -10],\n [6, -4, -10, 9, -8, -6, 1, 0],\n [-8, 6, 9, 0, 2, 0, -10, 0],\n [2, -4, -8, 2, -4, -4, -4, 7],\n [-6, 1, -6, 0, -4, -3, -4, 4],\n [0, -7, 1, -10, -4, -4, -7, 8],\n [4, -10, 0, 0, 7, 4, 8, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3581913225", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-2, -1, -2, 0, 1, -6, -4, 3],\n [-1, -11, 7, 2, -4, -6, 5, -4],\n [-2, 7, 8, 6, -4, -4, 0, 8],\n [0, 2, 6, 7, 0, 0, 0, -8],\n [1, -4, -4, 0, 10, 0, 2, 7],\n [-6, -6, -4, 0, 0, -8, 0, -5],\n [-4, 5, 0, 0, 2, 0, -8, -2],\n [3, -4, 8, -8, 7, -5, -2, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11931268", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-2, 5, -4, -3, 7, 8, 2, 8],\n [5, -6, -10, -1, -10, 4, -5, -6],\n [-4, -10, 1, 1, -6, -4, 10, -3],\n [-3, -1, 1, 4, 4, -6, 6, 8],\n [7, -10, -6, 4, -10, 3, 2, -2],\n [8, 4, -4, -6, 3, 12, 1, -1],\n [2, -5, 10, 6, 2, 1, 7, -9],\n [8, -6, -3, 8, -2, -1, -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": "203844508", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-3, 8, 2, 0, -3, 0, 8, 1],\n [8, -6, -6, 0, -2, -6, 0, 0],\n [2, -6, -8, -6, 8, -2, -6, -8],\n [0, 0, -6, 3, 2, 7, -8, 8],\n [-3, -2, 8, 2, -10, 0, 8, -4],\n [0, -6, -2, 7, 0, 4, 0, -1],\n [8, 0, -6, -8, 8, 0, -10, 3],\n [1, 0, -8, 8, -4, -1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138933985", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-7, 10, 8, 12, -12, 8, -3, -7],\n [10, -1, -9, 0, 4, -5, 7, -10],\n [-1, -6, -1, -11, 11, 1, 9, 10],\n [-8, -4, 8, -2, -8, -10, 4, -11],\n [11, -12, -6, 1, -8, 6, -2, 10],\n [12, -11, -5, -4, -10, -11, -6, -8],\n [8, -8, 7, 0, 8, 7, -7, 7],\n [5, 12, -11, 12, -7, -4, 12, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "518532258", "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, 0, -8, 4, 0, -3, 4],\n [0, 12, 3, 0, 1, 2, -3, 0],\n [0, 3, 12, -2, 7, -4, 9, 8],\n [-8, 0, -2, 9, -2, 3, 8, 4],\n [4, 1, 7, -2, -1, 2, 0, -4],\n [0, 2, -4, 3, 2, 2, 2, -4],\n [-3, -3, 9, 8, 0, 2, 2, 1],\n [4, 0, 8, 4, -4, -4, 1, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "767404309", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, 5, -6, -9, -8, 10, 3, -10],\n [5, 10, 8, 1, 2, 4, -12, 12],\n [8, 4, 10, 12, -2, 4, 1, 7],\n [6, 8, -6, 11, 0, 5, 10, 1],\n [-12, -6, -5, 5, -4, -12, 9, 4],\n [6, -7, -10, 11, -8, -11, 7, 12],\n [-9, -3, -3, 11, 8, -2, 3, 4],\n [3, -6, 3, -10, 3, -5, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159389096", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, 8, 5, -2, -9, 3, 4, -4],\n [-7, 11, 7, 12, -11, -4, 8, -7],\n [-10, 7, -7, -6, -12, 10, -12, -8],\n [-7, 0, -11, 2, 2, 0, 12, 1],\n [9, -6, 1, 11, -3, 4, 1, -5],\n [-9, 3, 11, 0, 9, 12, 7, 5],\n [1, 5, -8, -4, -10, -5, 7, 9],\n [-3, 9, 6, 8, -10, -2, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11549176240", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, -6, -9, 10, 6, -1, 2, -2],\n [-8, -8, 2, 5, -2, -1, -11, 7],\n [2, 7, -9, 9, 5, -7, 10, 6],\n [-2, 11, -11, -5, -2, -8, 5, 10],\n [5, 1, 9, -3, -10, -4, -10, -2],\n [-1, -1, -10, 8, -6, 1, 11, -2],\n [-6, 12, 8, -3, -2, 2, 6, 3],\n [9, 8, 7, -1, 5, 10, 0, -8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10737534949", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-9, 4, -8, -2, 6, 8, -4, -4],\n [4, 5, -10, -8, 5, -2, 1, 5],\n [-8, -10, 9, -5, -4, 5, 0, -2],\n [-2, -8, -5, 2, 2, 8, 2, -2],\n [6, 5, -4, 2, 6, 2, 2, 0],\n [8, -2, 5, 8, 2, -11, -8, 6],\n [-4, 1, 0, 2, 2, -8, 5, 4],\n [-4, 5, -2, -2, 0, 6, 4, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3381417", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) of the matrix A^6 where A is:\n[[-2, 9, -3, -10, 7, -3, 5, 1],\n [5, 11, -5, -3, 9, 0, 8, -5],\n [-9, -9, -8, -12, 4, -11, -5, -6],\n [2, 12, -8, -11, -6, -5, -6, -6],\n [1, 8, 5, -7, -9, -3, 5, -1],\n [3, 12, -6, -7, -8, -10, -1, 2],\n [-3, 7, 6, 3, -2, -5, -10, 10],\n [-6, 10, -6, 1, -11, -3, 6, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138598802", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 7) of the matrix A^7 where A is:\n[[3, 6, 4, -2, 0, -1, -3, 7],\n [6, 1, -3, 0, 6, -6, 0, -2],\n [4, -3, -3, -3, 2, 2, 4, 0],\n [-2, 0, -3, -3, 4, -1, 0, -6],\n [0, 6, 2, 4, -11, -2, 2, -4],\n [-1, -6, 2, -1, -2, 2, -10, -3],\n [-3, 0, 4, 0, 2, -10, 9, -12],\n [7, -2, 0, -6, -4, -3, -12, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-831115619", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[7, -12, 2, 2, 1, -5, 10, 2],\n [-12, -4, 10, 0, -10, -3, 2, -3],\n [2, 10, 7, 3, 8, -4, 6, -1],\n [2, 0, 3, 9, 0, 1, -4, -6],\n [1, -10, 8, 0, -7, 0, -2, 2],\n [-5, -3, -4, 1, 0, -12, 3, 4],\n [10, 2, 6, -4, -2, 3, 0, 10],\n [2, -3, -1, -6, 2, 4, 10, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29854309011", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-12, 6, 8, -2, 6, 1, -2, -4],\n [6, -4, 1, 4, -6, 0, 3, -4],\n [8, 1, -2, 2, -4, -6, 9, 0],\n [-2, 4, 2, -12, 9, 9, -8, 0],\n [6, -6, -4, 9, -7, -2, 4, 0],\n [1, 0, -6, 9, -2, 11, -4, 2],\n [-2, 3, 9, -8, 4, -4, -5, -6],\n [-4, -4, 0, 0, 0, 2, -6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60966242", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[11, -1, 4, -11, 0, 5, 2, -5],\n [2, -12, 7, -3, -1, -8, -4, 10],\n [-5, 3, 1, 12, 0, 10, 8, 0],\n [-8, 3, -2, 9, -8, 0, -2, 12],\n [6, -10, 2, -6, -6, -7, -10, 0],\n [-6, -8, 10, 5, 9, -5, 4, 7],\n [-12, 1, 4, -3, -1, 3, 1, 3],\n [-5, 10, -3, 4, 5, 7, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "381110770", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 5) of the matrix A^5 where A is:\n[[3, 6, 11, 11, -5, -7, -7, 8],\n [-4, -9, -1, -1, 10, 4, 2, -4],\n [-6, -3, 3, -1, 12, -6, 5, 2],\n [-7, -1, -2, 7, -10, -11, -7, 11],\n [9, 12, -8, 5, 3, -5, 12, 7],\n [9, -2, -3, 11, 12, -1, 8, -7],\n [7, -8, 10, -4, 3, 9, 1, 9],\n [-5, 7, 6, 1, -6, -8, 5, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-545850", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-2, 9, -5, -12, 9, -1, -11, 5],\n [-6, 4, 9, 10, 1, 11, -6, 9],\n [12, -10, -7, 7, -11, 4, -1, -1],\n [4, -3, -10, 7, 5, 0, -1, 4],\n [-9, 10, -3, -2, -7, -7, -4, 2],\n [-11, -9, -8, 4, -5, -5, 9, -1],\n [8, -5, 6, -10, 5, 8, 6, 6],\n [2, -7, 3, -5, 3, 5, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52048102", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 8, -1, 6, 2, -4, -8],\n [-2, 10, -1, 8, -4, -2, -3, 5],\n [8, -1, 12, -4, 4, 2, 3, -9],\n [-1, 8, -4, -4, 2, -10, -6, -4],\n [6, -4, 4, 2, -3, -7, -8, 2],\n [2, -2, 2, -10, -7, -2, -3, -4],\n [-4, -3, 3, -6, -8, -3, -9, 3],\n [-8, 5, -9, -4, 2, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78573356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[6, -6, -7, -5, 0, -8, -11, -4],\n [-2, 11, -7, -6, 12, -6, 6, -7],\n [-2, -2, -6, -11, 6, -9, -7, 4],\n [12, -8, -6, -4, 12, -12, -12, 6],\n [-7, 5, -3, -2, -12, -12, 0, -8],\n [7, -12, 7, -10, 5, -4, 1, 4],\n [10, 1, -9, -8, 8, 4, 9, 12],\n [-11, 10, 9, -8, -9, -9, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341562209", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[8, 4, 6, 2, 10, 6, 6, 3],\n [4, -12, 1, 8, -4, 8, 4, 6],\n [6, 1, 3, 0, 6, -8, 5, -2],\n [2, 8, 0, -11, 1, 6, -2, 2],\n [10, -4, 6, 1, -12, -1, 2, 12],\n [6, 8, -8, 6, -1, 4, -8, 8],\n [6, 4, 5, -2, 2, -8, 4, -2],\n [3, 6, -2, 2, 12, 8, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21218179063", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-3, -2, -7, -9, 11, -1, -2, 10],\n [10, 12, 0, -8, -7, -12, -7, 5],\n [9, -4, 11, 12, 2, -5, 6, 11],\n [3, -7, -7, 9, -10, -3, -12, 1],\n [-9, -1, -7, -2, -1, -3, 5, -6],\n [-6, -2, -9, 7, -12, 0, 5, -4],\n [11, 11, -4, 10, -4, -3, -11, -7],\n [2, -10, -2, -7, -10, 11, -2, 2]], determine the value at position (5, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "972640", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[0, 0, -4, -4, 4, 8, 8, -3],\n [0, 2, 6, -4, 8, -8, 10, -4],\n [-4, 6, -11, -6, 1, -10, -2, -8],\n [-4, -4, -6, 11, 0, 8, -4, 4],\n [4, 8, 1, 0, -9, 0, 10, -2],\n [8, -8, -10, 8, 0, -9, -4, 1],\n [8, 10, -2, -4, 10, -4, 11, 4],\n [-3, -4, -8, 4, -2, 1, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "781363800", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-10, -6, -6, -1, -2, -8, -4, -5],\n [-6, 7, 2, -4, -2, -2, -1, 0],\n [-6, 2, -12, 9, 2, -8, -2, 0],\n [-1, -4, 9, -4, 8, -1, 4, 5],\n [-2, -2, 2, 8, 6, -2, -1, -4],\n [-8, -2, -8, -1, -2, -1, 0, -4],\n [-4, -1, -2, 4, -1, 0, -6, 4],\n [-5, 0, 0, 5, -4, -4, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1122906139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-8, 4, 0, -8, -8, -8, 7, 6],\n [4, -2, 6, 2, 10, 10, -6, -8],\n [0, 6, 12, -2, 0, 4, -9, -2],\n [-8, 2, -2, -10, 7, 2, 4, -12],\n [-8, 10, 0, 7, 2, -8, 0, -6],\n [-8, 10, 4, 2, -8, 11, 3, 0],\n [7, -6, -9, 4, 0, 3, 4, -10],\n [6, -8, -2, -12, -6, 0, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "794212017", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the 5th power of the matrix:\n[[8, 2, -5, -9, 3, 8, -9, 3],\n [9, -1, 3, 6, -5, -7, -3, -8],\n [5, -3, -3, -6, 5, -12, -6, 8],\n [-12, 2, -9, 7, -3, 10, -4, -11],\n [1, 3, -12, -11, -6, -3, 9, 7],\n [-12, 0, -12, -8, 3, 2, 4, 10],\n [3, 0, -2, 4, 4, -11, 0, 1],\n [-2, -3, -10, 4, 2, -4, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130047", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[8, 0, 5, -8, -7, 4, -2, 7],\n [3, -4, -11, -8, -12, -9, -9, 9],\n [12, -10, -4, 9, 10, -1, -3, -11],\n [-2, -3, 9, -7, 5, -11, -11, -3],\n [3, -1, -12, 8, -5, 3, 5, 0],\n [2, 8, -1, -5, -3, 1, -8, 5],\n [6, 2, -7, -2, 8, -2, 7, 7],\n [8, 5, 12, 5, -3, -11, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9396000202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[6, 0, 6, -2, -9, 4, 0, -4],\n [0, -6, 8, 2, -2, 6, -6, -6],\n [6, 8, -5, -3, -2, 0, 0, 4],\n [-2, 2, -3, -9, 3, -2, -2, 7],\n [-9, -2, -2, 3, 0, -7, -8, -1],\n [4, 6, 0, -2, -7, 3, -8, -3],\n [0, -6, 0, -2, -8, -8, -3, 2],\n [-4, -6, 4, 7, -1, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "944269162", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 6th power of the matrix:\n[[0, 4, 0, -6, -2, 0, -1, -6],\n [4, 7, 4, 5, -6, 1, 4, -2],\n [0, 4, 12, 5, -6, 1, -4, -7],\n [-6, 5, 5, -9, 1, -2, 4, -6],\n [-2, -6, -6, 1, 7, -10, 8, 0],\n [0, 1, 1, -2, -10, -1, 1, -6],\n [-1, 4, -4, 4, 8, 1, 7, -4],\n [-6, -2, -7, -6, 0, -6, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15427681", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 6th power of the matrix:\n[[-7, -3, 0, -6, 6, 11, 6, 4],\n [0, 0, 8, -11, -3, 9, 0, -4],\n [-12, 1, 3, 7, 2, -12, 4, 11],\n [0, 2, 3, 3, -11, 4, -2, -5],\n [7, -10, -1, 7, 3, 1, 3, 8],\n [4, -2, 4, 6, 9, -12, -1, 2],\n [5, 10, 1, -12, 0, 2, -6, 2],\n [7, -3, 1, -7, 1, 11, 12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1797436", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-1, -2, 12, 7, 9, 11, 12, 6],\n [-11, 9, 7, -12, -5, 12, 1, -4],\n [-11, 12, 10, -8, 10, 12, -5, 3],\n [9, 3, 0, 7, 2, -12, 9, -10],\n [-7, 9, 1, -9, 5, 2, -4, 5],\n [-10, -3, 4, -6, 2, -12, 12, -2],\n [4, -8, -6, 6, 12, 11, 2, -10],\n [2, -8, 10, -1, 7, -8, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11328534321", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-4, -6, -11, 10, 10, 8, 3, -4],\n [0, 6, 7, 4, -7, -9, -12, 5],\n [6, -4, 0, -5, 10, 0, 2, -2],\n [-1, 1, -9, -12, 11, -9, 6, -4],\n [-3, -9, 7, -4, 0, -1, -2, -1],\n [5, -1, 3, -8, 7, 12, -1, 8],\n [12, -2, -4, 5, 12, -10, 7, 4],\n [1, -12, 4, 12, -5, -8, -8, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "584340552", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-10, -2, 4, -4, 10, 4, 4, -8],\n [-2, 1, 2, -12, 2, 4, 6, -1],\n [4, 2, 1, 0, 2, 2, 1, 6],\n [-4, -12, 0, -3, -1, 10, 8, -8],\n [10, 2, 2, -1, -3, -2, -6, -4],\n [4, 4, 2, 10, -2, 2, 4, -6],\n [4, 6, 1, 8, -6, 4, 2, -3],\n [-8, -1, 6, -8, -4, -6, -3, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13509068", "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, 5, -6, -8, 2, -6, 0, -4],\n [5, 1, -2, 8, -6, 4, 10, -2],\n [-6, -2, -3, -2, 2, 2, -2, 10],\n [-8, 8, -2, 2, 2, 9, -5, 10],\n [2, -6, 2, 2, -6, 2, 8, -2],\n [-6, 4, 2, 9, 2, -12, -2, 4],\n [0, 10, -2, -5, 8, -2, 5, 4],\n [-4, -2, 10, 10, -2, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63375260862", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (4, 7) of the result:\nA =\n[[-4, -6, -4, 0, -10, -10, -12, 8],\n [7, -11, 12, -10, 2, 11, -7, 0],\n [8, -12, 7, 6, -12, 8, 9, -11],\n [2, 1, 6, -2, 2, -7, 7, -4],\n [-8, 7, -11, -7, 5, 10, 6, -4],\n [8, 11, -7, 1, 11, 0, -2, -1],\n [6, 6, 8, 6, 11, 0, 1, 11],\n [5, -1, -9, -3, 4, -9, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6217042", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, -3, 12, -10, 2, -11, 12, 12],\n [4, -7, -5, -10, 12, 5, 9, -12],\n [3, -6, -10, 10, -9, -4, -8, 6],\n [2, -5, -7, 5, 6, 11, 2, -6],\n [-3, -7, 1, 4, -4, 6, -8, 10],\n [-6, 6, 7, -6, 11, -11, 12, 10],\n [3, 0, -5, -7, -7, -4, -9, -2],\n [-8, 12, 4, 7, -6, 2, 12, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2179272374", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[1, 0, -2, 0, 9, 11, -4, -3],\n [-9, 4, 1, 11, 5, -2, 3, -12],\n [-6, -3, -4, 12, -10, 9, 10, 1],\n [12, 2, -11, 11, 1, 3, -6, -9],\n [5, 11, -8, -7, -6, 2, -12, 11],\n [-9, 12, -12, -2, 5, 1, 9, -2],\n [-3, 4, -9, 11, 2, 3, 8, 0],\n [-4, -2, -2, -7, -12, 9, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1346740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 8) of the result:\nA =\n[[9, 6, 7, -8, 2, 8, -2, 2],\n [6, -8, -2, 0, -6, -5, 4, -1],\n [7, -2, 8, 0, -4, 0, 4, -10],\n [-8, 0, 0, -12, -3, -8, 5, 4],\n [2, -6, -4, -3, 11, 0, 2, -2],\n [8, -5, 0, -8, 0, -12, -7, -2],\n [-2, 4, 4, 5, 2, -7, -4, 9],\n [2, -1, -10, 4, -2, -2, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142332764", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-10, 0, 2, 0, -6, 6, 2, -4],\n [0, -3, 6, -2, 1, -2, 6, 2],\n [2, 6, 9, 1, -5, -4, 9, 0],\n [0, -2, 1, 4, 4, -2, -2, 2],\n [-6, 1, -5, 4, 0, -10, 8, -3],\n [6, -2, -4, -2, -10, 7, 10, 10],\n [2, 6, 9, -2, 8, 10, 10, 6],\n [-4, 2, 0, 2, -3, 10, 6, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52868766733", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (8, 8) of the result:\nA =\n[[3, 4, 1, 2, 4, 1, -8, 6],\n [4, 8, 12, -7, -2, 4, -2, -1],\n [1, 12, -12, -4, -6, -4, -1, -3],\n [2, -7, -4, 8, -2, 6, -1, 4],\n [4, -2, -6, -2, -5, -6, 3, -1],\n [1, 4, -4, 6, -6, 7, -2, -3],\n [-8, -2, -1, -1, 3, -2, 9, 3],\n [6, -1, -3, 4, -1, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19501256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (6, 5) of the result:\nA =\n[[-2, -12, -6, 3, 1, 2, 1, 8],\n [-2, 3, 6, 4, -7, -2, 4, -4],\n [5, 4, -1, 10, 9, 9, -8, -2],\n [-9, -9, -10, 11, 10, 12, 4, -6],\n [-9, 10, 0, -1, -12, 8, 6, 8],\n [7, 5, -2, 7, -10, 4, -1, -3],\n [-5, 2, -8, -9, 8, 7, 6, 8],\n [-9, 2, 4, -1, -10, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6041510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (1, 5) of the result:\nA =\n[[11, 10, 5, -12, -10, 8, -1, -12],\n [-10, -10, -8, 6, 12, -12, -9, -9],\n [4, 1, 5, -12, 9, 3, -10, 10],\n [8, -4, 10, -9, 8, -8, -2, 8],\n [-4, -10, -7, 11, -2, -4, 2, 10],\n [-10, -12, 7, 9, 6, 1, 4, 9],\n [1, 4, 12, 1, -1, 3, -12, 0],\n [-7, 4, -1, 10, 6, -7, -6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1239637", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 5) of the 6th power of the matrix:\n[[-12, -8, -7, 3, 12, 3, 1, -12],\n [0, 7, -3, 11, -3, -4, 0, -10],\n [5, 7, -11, 4, 6, 10, 0, 0],\n [-12, -11, -12, 11, -8, 11, -10, -6],\n [11, 9, 0, 10, 5, 11, 8, -6],\n [-12, -8, 4, -5, 2, 7, -9, -11],\n [-8, -12, 12, -8, -7, -11, -12, -9],\n [-6, 9, -12, -12, -5, 7, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13593512", "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[[0, -1, 7, 10, 8, 1, 2, 6],\n [-1, -3, 4, -7, 4, -4, -1, 0],\n [7, 4, 5, 0, 0, -10, -2, -2],\n [10, -7, 0, -11, -4, 0, 2, 6],\n [8, 4, 0, -4, -12, 10, -5, -2],\n [1, -4, -10, 0, 10, 12, -8, 0],\n [2, -1, -2, 2, -5, -8, -7, 5],\n [6, 0, -2, 6, -2, 0, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33420325895", "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, -8, 6, -6, 3, 12, -10],\n [-4, -9, 10, 0, 2, -1, -4, -5],\n [-8, 10, -1, 2, 1, 2, 4, 2],\n [6, 0, 2, 7, 2, 4, 2, -10],\n [-6, 2, 1, 2, 3, 2, -4, 3],\n [3, -1, 2, 4, 2, -4, -4, 2],\n [12, -4, 4, 2, -4, -4, -12, 2],\n [-10, -5, 2, -10, 3, 2, 2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3736374760", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-12, 0, 10, -2, -2, 12, 0, 2],\n [0, 6, 0, 2, 6, -10, 4, -2],\n [10, 0, 3, 6, 0, -4, 4, -3],\n [-2, 2, 6, 3, 8, -6, 4, 4],\n [-2, 6, 0, 8, -8, 1, -2, 3],\n [12, -10, -4, -6, 1, -10, -8, 0],\n [0, 4, 4, 4, -2, -8, 5, 3],\n [2, -2, -3, 4, 3, 0, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "695777623", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-8, 5, -9, 8, -6, 0, 6, 6],\n [5, -3, 10, -6, -4, 3, -2, 5],\n [-9, 10, 4, 10, 6, 1, 4, -2],\n [8, -6, 10, 5, 4, 0, 3, 0],\n [-6, -4, 6, 4, -9, 0, -6, -1],\n [0, 3, 1, 0, 0, 4, -4, -3],\n [6, -2, 4, 3, -6, -4, 3, -6],\n [6, 5, -2, 0, -1, -3, -6, -2]], determine the value at position (8, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1372132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[5, 11, -9, -3, -12, -8, 0, -12],\n [10, -5, -10, -10, -6, -9, -10, 2],\n [-5, -10, -6, 5, -2, -2, 4, -7],\n [-5, -12, -3, 12, 6, -10, -9, -2],\n [2, -12, -4, -2, 6, 0, 3, -9],\n [-12, 7, 0, -12, -8, -8, 1, 10],\n [1, -5, -9, -6, 7, 6, 2, 9],\n [-9, 6, -4, 8, 0, 1, 10, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "565814152", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[9, -2, -4, -1, 0, 2, -8, -4],\n [-2, 6, 0, 2, -4, -1, -1, 8],\n [-4, 0, -7, -1, 2, -2, 8, 4],\n [-1, 2, -1, 9, 0, -5, 1, -4],\n [0, -4, 2, 0, 8, 8, -3, -4],\n [2, -1, -2, -5, 8, 11, -2, 0],\n [-8, -1, 8, 1, -3, -2, -3, -10],\n [-4, 8, 4, -4, -4, 0, -10, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315071196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (8, 7) of the result:\nA =\n[[-3, 1, 9, 12, 5, -7, 5, 7],\n [3, 2, 3, -5, 0, 10, -2, 12],\n [-6, 4, 5, 9, 10, 6, 12, 0],\n [2, 10, 9, 9, -12, 3, -8, -10],\n [10, -3, 6, -8, -6, 1, -10, 0],\n [0, -3, -11, -7, -5, -9, 12, -1],\n [2, -5, -6, 1, 10, 6, 1, 9],\n [0, 8, -12, 6, -12, -9, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139300244", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[7, -4, -10, -7, -7, 10, 12, -1],\n [10, -12, 3, 11, -8, -4, -3, 0],\n [2, -1, -8, -8, 5, -1, -10, 12],\n [-6, 4, 6, 5, -12, 12, 11, -8],\n [-11, -12, -6, -2, -2, 5, 4, -11],\n [-6, -6, -3, 9, 8, -10, -1, -10],\n [-2, -1, 12, -9, 12, 3, 7, 5],\n [-9, 9, -7, 8, 2, -12, -10, -8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17886551072", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[9, -4, -2, -4, -5, 6, -10, -4],\n [-4, 11, 1, 3, 0, 4, 0, -2],\n [-2, 1, -9, -3, -4, 4, -6, 3],\n [-4, 3, -3, -8, -6, -5, 4, 0],\n [-5, 0, -4, -6, -2, 4, -1, 0],\n [6, 4, 4, -5, 4, -3, 2, 3],\n [-10, 0, -6, 4, -1, 2, -6, 0],\n [-4, -2, 3, 0, 0, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11254802", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[7, 9, -9, 12, 7, -7, -7, -2],\n [4, 11, -10, 0, 9, -10, 3, 2],\n [-2, 5, 2, -8, 3, 3, 4, -4],\n [10, -10, 7, 0, 9, -10, -6, -7],\n [-4, -1, 2, 8, 7, -10, -3, -12],\n [6, 6, 10, 10, 0, -1, -12, 6],\n [11, 3, 12, 10, 10, 2, 3, -2],\n [11, -7, -2, -10, 2, -12, -6, -12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "579525569", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^5 where A is:\n[[4, -4, 10, 0, -2, 7, -7, -12],\n [-6, -1, 9, 7, 10, 6, 4, -9],\n [-10, -12, 5, 8, 2, -5, -12, 7],\n [1, -9, -8, 10, 0, 11, 2, -7],\n [-12, 10, 6, 0, -7, 2, 3, 11],\n [10, 3, -3, 9, -4, -4, 4, 4],\n [4, 11, -1, 0, -1, 1, -3, 10],\n [6, -11, -9, 6, -6, 2, 2, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1377809", "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, -10, -7, 3, -11, -6, -2, -6],\n [-9, 11, 7, -6, -9, -1, -8, 10],\n [6, -8, 6, 8, -10, -2, -6, 4],\n [12, -4, 8, -4, -3, 0, 2, 9],\n [-8, -10, -5, 7, -3, 0, -10, 9],\n [-5, -4, 9, 8, -1, -2, -11, 5],\n [-4, -11, -11, -10, 3, 6, -9, 10],\n [12, 5, 7, 12, 5, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171374429548", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[11, 12, 10, 11, 7, 3, 7, 0],\n [-11, 11, -11, 12, 1, -9, 4, 0],\n [-9, -10, -1, 9, 10, -5, -11, -7],\n [9, -3, -1, 8, -3, -3, 10, -10],\n [7, -3, -4, 7, 6, 1, -11, -8],\n [7, -5, -6, -7, -2, -1, 5, 6],\n [-3, 12, 12, 8, 1, -10, 5, 11],\n [2, -7, -3, -1, -6, 4, -12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120484408", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[2, 6, -12, -8, 2, -10, -12, -5],\n [-1, 9, 12, 6, 12, 12, -1, 0],\n [-12, 6, -7, -5, -9, -8, 12, 9],\n [-6, 10, -9, 7, -9, 2, 8, -8],\n [11, -4, -11, -6, 4, 3, 4, 7],\n [10, -11, -2, -11, -12, -11, 10, -4],\n [9, -11, 2, -3, 2, -3, 12, 10],\n [4, -4, 5, -9, -4, 3, -9, 3]], determine the value at position (5, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46227738", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[6, -2, 8, -6, -7, 4, -2, 8],\n [-2, 0, 0, 2, 0, 0, 7, -6],\n [8, 0, -12, -1, 2, 4, 5, 3],\n [-6, 2, -1, -6, -1, -2, 12, -6],\n [-7, 0, 2, -1, 3, 8, 0, -6],\n [4, 0, 4, -2, 8, -11, 0, 4],\n [-2, 7, 5, 12, 0, 0, 10, 4],\n [8, -6, 3, -6, -6, 4, 4, 12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227100026", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-9, 6, -11, -4, -1, -11, -7, -8],\n [-8, 7, 9, -8, -9, -4, 9, -3],\n [3, -3, -3, 6, -3, -7, 4, -8],\n [-7, 11, 2, 12, 6, 5, -9, -5],\n [3, 11, 6, 7, -10, -3, -11, -9],\n [-7, -2, 1, 3, 8, 6, -11, 12],\n [4, -4, 4, 2, -6, 9, 10, 6],\n [-10, -12, -9, 5, -5, 6, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1453177", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, -7, -12, -5, -12, 6, -2, 8],\n [11, 12, 2, 10, 12, -2, 6, 8],\n [-3, 11, -1, -12, 11, -6, 4, -3],\n [-7, 4, 5, -8, 5, 4, 9, 3],\n [-5, 11, 0, 11, 3, -2, -7, -10],\n [-12, 5, -8, 0, -3, -8, 1, 4],\n [-12, 12, -11, -6, -3, 7, -6, 11],\n [3, -8, -1, 4, 3, 7, 3, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1963893546", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[2, -6, 0, -6, 10, -10, 0, 6],\n [-6, 2, -2, -10, 12, -6, -4, 2],\n [0, -2, 2, 10, -2, -7, 0, 8],\n [-6, -10, 10, 5, -5, -3, 4, 8],\n [10, 12, -2, -5, 9, -4, -6, -6],\n [-10, -6, -7, -3, -4, 7, 7, 4],\n [0, -4, 0, 4, -6, 7, -5, -4],\n [6, 2, 8, 8, -6, 4, -4, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258113440", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-3, 0, 1, -2, -8, 6, -2, -6],\n [0, 9, -1, -1, 0, -3, -7, -6],\n [1, -1, 6, 11, 5, 2, -2, -8],\n [-2, -1, 11, -4, -4, 4, 8, 2],\n [-8, 0, 5, -4, -1, -6, -6, 0],\n [6, -3, 2, 4, -6, 11, -2, -8],\n [-2, -7, -2, 8, -6, -2, -4, 0],\n [-6, -6, -8, 2, 0, -8, 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": "54406575", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 8) of the matrix A^6 where A is:\n[[-1, 10, 2, 1, 2, 2, 2, -5],\n [10, -3, 8, 0, 6, -1, 7, -4],\n [2, 8, -1, 0, -8, 6, 8, 2],\n [1, 0, 0, 8, 0, 2, 6, 10],\n [2, 6, -8, 0, -6, 4, 2, -10],\n [2, -1, 6, 2, 4, -9, -4, 7],\n [2, 7, 8, 6, 2, -4, 3, 0],\n [-5, -4, 2, 10, -10, 7, 0, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19111270", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-1, -5, -6, -11, -1, 8, 1, 3],\n [-2, 7, -4, -3, 4, -1, -7, 6],\n [-2, -4, 8, -7, 12, 12, 11, 12],\n [3, 7, 3, -7, -8, 8, -9, -11],\n [-7, -4, 4, 1, -6, 9, 6, -12],\n [7, 12, 2, 5, -10, 5, -11, -3],\n [-2, 11, -10, -6, -5, 6, 5, 0],\n [0, 11, 6, 10, -1, 4, 9, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "829966726", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, 12, -1, 6, 1, -6, 0, -7],\n [11, 6, 6, -9, 6, -4, 3, -9],\n [-7, -5, 11, 3, -8, 8, 9, -3],\n [10, 0, 1, -6, 7, -7, -6, -8],\n [8, 5, 10, -1, -7, -12, -9, 6],\n [-1, 2, -10, 10, 7, -5, -2, 3],\n [-4, -10, -8, 7, 1, 2, -7, -9],\n [-5, 6, -8, 0, 3, -12, 0, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40069623", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-2, -1, 4, 8, 0, 12, -2, 1],\n [-1, -9, 2, 2, 4, -1, 2, 0],\n [4, 2, -1, -6, -1, 6, 5, 0],\n [8, 2, -6, 3, 2, -9, 6, 2],\n [0, 4, -1, 2, -4, 7, 6, 6],\n [12, -1, 6, -9, 7, -5, 9, -6],\n [-2, 2, 5, 6, 6, 9, 8, -4],\n [1, 0, 0, 2, 6, -6, -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": "42222967177", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[3, -1, 7, 0, -5, 9, -12, 8],\n [-6, 2, 9, 0, 0, -4, 11, 2],\n [-9, 0, -1, -8, -6, -5, -8, -4],\n [1, -1, -9, 7, -5, 4, -5, 8],\n [-12, 7, -11, -9, 11, 8, -12, -6],\n [-12, -4, -10, -1, 6, 2, 9, 3],\n [-3, 9, -7, 4, 8, 9, 11, 4],\n [8, 6, 5, -2, 11, -6, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "313637173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 0, -2, 10, 3, 6, -8, 7],\n [0, -8, -3, 0, -2, 8, 10, -3],\n [-2, -3, -3, 8, -6, -8, -6, 4],\n [10, 0, 8, -6, 7, 4, -8, 7],\n [3, -2, -6, 7, -3, -5, -2, -5],\n [6, 8, -8, 4, -5, 11, -1, -4],\n [-8, 10, -6, -8, -2, -1, -7, 3],\n [7, -3, 4, 7, -5, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75878053", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 7) of the 5th power of the matrix:\n[[0, 0, 0, 8, -1, -3, 1, 4],\n [0, 2, 2, -6, 10, -3, 7, -2],\n [0, 2, 12, 1, -1, 3, -6, -5],\n [8, -6, 1, -8, -10, 2, -4, 0],\n [-1, 10, -1, -10, 1, -6, -2, 0],\n [-3, -3, 3, 2, -6, -8, 0, 4],\n [1, 7, -6, -4, -2, 0, 4, 6],\n [4, -2, -5, 0, 0, 4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-827785", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[6, -10, -7, -9, 11, 0, 0, -2],\n [-8, -12, -4, 4, 9, -12, -10, 2],\n [8, 10, -3, -5, -1, 12, 9, 2],\n [-4, 11, 12, -3, 7, -4, 2, 10],\n [8, 8, -12, -11, 6, 1, -5, -7],\n [-1, 2, 1, 8, -12, -2, 12, -10],\n [6, 5, 7, -11, 12, -6, -5, 6],\n [9, 2, -3, 9, -12, -7, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1167204741", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-10, 4, -10, 2, 4, -4, 0, 2],\n [4, 0, 2, -5, -4, 1, 4, 5],\n [-10, 2, -8, 4, 0, -10, -6, 2],\n [2, -5, 4, -1, 4, 4, -9, -4],\n [4, -4, 0, 4, 3, 2, 1, -10],\n [-4, 1, -10, 4, 2, 7, 8, 2],\n [0, 4, -6, -9, 1, 8, 10, -3],\n [2, 5, 2, -4, -10, 2, -3, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-541644573", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (8, 1) of the result:\nA =\n[[-6, 10, 4, -6, 2, 0, 0, 0],\n [10, 7, 4, -3, -6, 2, 8, 0],\n [4, 4, 5, -2, -6, 4, -2, 2],\n [-6, -3, -2, -12, 4, -6, 2, -10],\n [2, -6, -6, 4, 4, -3, -4, -6],\n [0, 2, 4, -6, -3, -4, -6, 4],\n [0, 8, -2, 2, -4, -6, 0, -4],\n [0, 0, 2, -10, -6, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25214372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 4) of the result:\nA =\n[[8, -10, -3, 6, -5, -6, -12, -1],\n [-8, 3, 12, -9, 4, 11, 8, -11],\n [-1, -12, -1, -1, -1, 6, 12, 4],\n [7, 11, 11, -2, 0, -5, -3, -5],\n [7, -5, -4, -6, 1, -11, 12, -2],\n [-5, 0, 8, 2, -10, 10, 1, 2],\n [-11, 6, -1, 12, 7, -9, -10, -8],\n [-10, 12, 2, 6, -11, -1, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-289605835", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 8) of the 5th power of the matrix:\n[[4, 6, 4, -4, 0, -4, -2, 2],\n [6, 9, 6, -1, -2, 4, 4, 5],\n [4, 6, 8, -5, 0, -2, 9, 2],\n [-4, -1, -5, 8, -2, 8, 8, -4],\n [0, -2, 0, -2, -8, 2, -1, 1],\n [-4, 4, -2, 8, 2, 8, -5, 6],\n [-2, 4, 9, 8, -1, -5, 8, -4],\n [2, 5, 2, -4, 1, 6, -4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1656578", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-11, 0, 4, 2, -12, -2, 4, 3],\n [0, -1, 2, 0, 4, -2, 2, 0],\n [4, 2, 1, -2, 2, 3, -9, 6],\n [2, 0, -2, -6, 4, 5, -2, -3],\n [-12, 4, 2, 4, 2, -8, -2, 1],\n [-2, -2, 3, 5, -8, 3, 4, 3],\n [4, 2, -9, -2, -2, 4, 0, -7],\n [3, 0, 6, -3, 1, 3, -7, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-637036", "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, 10, 0, 8, -5, 8, 4],\n [-4, 7, 0, -11, -9, 12, -11, -9],\n [5, -8, 6, -3, 5, 12, 8, -3],\n [-8, 4, 9, 0, 10, 4, -4, 11],\n [-1, 1, 1, -5, 10, -8, 6, 1],\n [-4, -6, -5, 1, 9, 1, -2, 1],\n [8, -5, -10, 10, 5, -10, 0, -1],\n [2, 5, -8, -6, -2, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "364519335", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[2, -6, 6, -1, 4, 1, 8, -8],\n [-6, 2, 2, 3, 10, 0, -9, 2],\n [6, 2, -9, 4, -5, -4, 10, 6],\n [-1, 3, 4, -4, 4, 1, -8, 4],\n [4, 10, -5, 4, -11, -2, 1, 6],\n [1, 0, -4, 1, -2, -1, -2, -4],\n [8, -9, 10, -8, 1, -2, -7, 2],\n [-8, 2, 6, 4, 6, -4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-694806", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[3, 12, -8, 12, 3, 12, -7, -2],\n [4, 10, 1, -7, 12, 10, -2, -1],\n [0, -9, -6, -11, -7, -7, 5, 7],\n [-5, -5, -5, -5, -12, -11, -1, 2],\n [-9, 12, -10, 1, 9, 10, -5, 0],\n [10, 6, 9, -8, 0, 7, -12, 3],\n [10, 11, -11, -6, -7, -8, -9, -11],\n [-3, 9, -8, 5, -3, 10, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45320674", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 8) of the 7th power of the matrix:\n[[-4, 4, 5, 10, 12, 4, 6, 2],\n [4, 3, -10, 4, 0, 9, 2, -8],\n [5, -10, 9, 0, -8, 0, 4, -2],\n [10, 4, 0, -5, -1, -6, 2, 7],\n [12, 0, -8, -1, -1, -6, 3, -1],\n [4, 9, 0, -6, -6, 6, -2, 7],\n [6, 2, 4, 2, 3, -2, -5, 6],\n [2, -8, -2, 7, -1, 7, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "901939870", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 8) of the matrix A^6 where A is:\n[[-11, -7, 4, 3, 4, 12, 7, -4],\n [-8, 10, -12, -7, 11, 1, 4, 12],\n [6, -12, -12, 0, 1, -7, -7, -12],\n [1, -10, 10, -3, 6, 6, 6, 10],\n [-9, 7, 6, -3, 12, -11, -9, 11],\n [-7, -6, 3, -6, 5, 7, 9, 6],\n [-4, 7, -3, 0, 5, 3, 9, 4],\n [9, 0, -1, -3, -12, -5, 8, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9989299", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[5, -11, 3, -1, -4, -10, 9, 8],\n [-9, -11, -5, -3, 3, 10, -2, 5],\n [9, 1, -5, 10, 2, 4, 8, 5],\n [-7, 10, 1, 10, -10, -6, 2, 8],\n [11, 3, 3, -5, -6, -7, -11, 9],\n [0, -1, 2, -4, -11, 4, -8, -2],\n [9, 6, 11, -6, -11, 3, -1, 10],\n [2, -12, 12, 0, 10, -7, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4161173801", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-10, -12, 2, 0, -8, 12, 0, 9],\n [-8, 6, 8, 11, 5, 8, 9, -3],\n [11, -5, 2, 8, 12, 7, 12, 10],\n [9, -9, -11, 11, -7, -10, -6, -3],\n [10, -7, 3, -11, 11, 4, 0, -12],\n [-7, -8, 12, 0, 10, 5, -1, -6],\n [2, -10, 3, -12, 3, 11, -1, 6],\n [-5, 10, -1, 2, -11, 4, -6, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4451925703", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-12, 0, -2, -4, -5, 4, 6, 1],\n [0, 4, 2, -6, -9, 4, 0, -2],\n [-2, 2, -12, -2, 2, 2, 0, 0],\n [-4, -6, -2, -8, -4, -3, 2, 2],\n [-5, -9, 2, -4, -8, -7, -4, 0],\n [4, 4, 2, -3, -7, 7, -10, -4],\n [6, 0, 0, 2, -4, -10, 12, 5],\n [1, -2, 0, 2, 0, -4, 5, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25682615505", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-5, 2, -3, -4, 4, -3, -4, -6],\n [2, 8, -8, -3, 6, -4, 12, -7],\n [-3, -8, 7, -4, -10, -5, 0, 0],\n [-4, -3, -4, -10, -8, 4, 4, 6],\n [4, 6, -10, -8, 11, 4, 0, -7],\n [-3, -4, -5, 4, 4, -9, -1, -1],\n [-4, 12, 0, 4, 0, -1, 3, -4],\n [-6, -7, 0, 6, -7, -1, -4, 11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240670213", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, 1, -10, 4, 8, 1, 5, -10],\n [9, 6, -10, -1, 9, -8, -3, -4],\n [-12, 0, -10, 6, -2, 3, -7, 11],\n [-10, 6, -7, -5, 9, 0, -1, -3],\n [-10, -9, -12, 0, 11, -9, 9, -2],\n [6, -2, -1, -2, -7, -1, -4, 12],\n [-3, -10, -10, 7, 10, 3, -10, -3],\n [11, -2, -5, -7, 7, -2, 8, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44152365", "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, 3, 5, 2, 0, 2, 0, 5],\n [3, 5, 2, -8, 6, 3, 12, -7],\n [5, 2, 2, 6, 6, -6, 1, 2],\n [2, -8, 6, 10, 4, -9, -6, 2],\n [0, 6, 6, 4, -2, -2, -8, -8],\n [2, 3, -6, -9, -2, 3, 6, -3],\n [0, 12, 1, -6, -8, 6, 11, -2],\n [5, -7, 2, 2, -8, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235304028109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[12, 7, -8, -6, 0, -2, -6, 0],\n [7, -3, 0, -2, -2, -1, 4, 6],\n [-8, 0, 3, 2, 10, 2, 2, -1],\n [-6, -2, 2, -1, -8, -10, 0, -2],\n [0, -2, 10, -8, -11, -4, 4, 4],\n [-2, -1, 2, -10, -4, -2, 0, 0],\n [-6, 4, 2, 0, 4, 0, 4, -6],\n [0, 6, -1, -2, 4, 0, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229864229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, 5, 1, 2, -2, 6, -4, -1],\n [5, -7, 4, 0, 0, 2, 6, -2],\n [1, 4, -8, -8, 0, -4, -8, 2],\n [2, 0, -8, 11, 0, -4, 8, 0],\n [-2, 0, 0, 0, 12, 9, 3, 4],\n [6, 2, -4, -4, 9, -12, 1, 0],\n [-4, 6, -8, 8, 3, 1, 6, 7],\n [-1, -2, 2, 0, 4, 0, 7, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317173264", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[1, 8, -3, 3, -6, -5, -3, 2],\n [-5, 0, -1, -5, 2, -1, -2, 6],\n [1, 5, 0, -9, 4, 6, -4, 10],\n [-6, -12, -6, -6, 7, -6, -5, 3],\n [-10, 0, -3, 5, -6, 8, 8, -8],\n [10, 12, 11, 9, -6, 12, 9, 4],\n [-9, 11, 10, 3, 6, -3, -10, -10],\n [4, -3, 4, 9, 4, 8, -9, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4467539264", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, -7, -1, 12, 9, 12, 7, 4],\n [4, -3, -6, 3, 0, -10, -11, 3],\n [-7, -7, 0, -6, -8, 11, -6, -11],\n [4, 0, 12, 8, 8, 3, 7, -11],\n [-8, 5, -6, -2, 12, 12, -2, 9],\n [4, 3, 0, 9, -8, 7, 3, 9],\n [9, 3, 3, 1, -7, -11, 1, 3],\n [10, 7, 0, 2, -1, -4, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9151687771", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[1, 5, 4, -6, 2, -1, 4, 0],\n [5, 11, 2, 9, 0, -2, -5, 7],\n [4, 2, -9, -6, -7, -3, -10, 7],\n [-6, 9, -6, -9, -2, -3, 10, 2],\n [2, 0, -7, -2, -12, 8, -5, 1],\n [-1, -2, -3, -3, 8, -12, -4, 3],\n [4, -5, -10, 10, -5, -4, 0, -2],\n [0, 7, 7, 2, 1, 3, -2, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581726272", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, 8, -5, -9, 7, 11, 2, -8],\n [0, -7, -8, 4, -6, -7, -11, -2],\n [-6, 9, 8, -5, -8, 5, 9, 3],\n [1, -1, 4, -8, 1, -7, 2, -6],\n [1, 5, -12, -7, -10, -8, -1, -2],\n [0, 3, 5, 4, 4, -2, 7, -3],\n [3, -11, 4, 9, 7, -3, 0, -1],\n [2, -6, 9, 8, 0, -1, -1, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21663911", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-8, 5, 3, -3, 8, -2, 4, -8],\n [5, 3, -4, -1, 0, -4, -2, -8],\n [3, -4, -10, 8, -10, 0, 7, 0],\n [-3, -1, 8, 10, 0, -3, -1, 0],\n [8, 0, -10, 0, 5, -2, -2, -10],\n [-2, -4, 0, -3, -2, 5, 4, 0],\n [4, -2, 7, -1, -2, 4, -12, 0],\n [-8, -8, 0, 0, -10, 0, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13855302", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^7 where A is:\n[[-12, 2, 0, 9, 6, -3, 8, -4],\n [2, -3, -1, 10, 4, 2, 0, 1],\n [0, -1, 0, 0, 6, 4, -1, -1],\n [9, 10, 0, 0, -5, -6, -6, -6],\n [6, 4, 6, -5, 0, 4, -2, 2],\n [-3, 2, 4, -6, 4, -4, -8, -1],\n [8, 0, -1, -6, -2, -8, 2, 2],\n [-4, 1, -1, -6, 2, -1, 2, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221160587", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, 11, -1, -4, -11, -2, 2, -9],\n [11, 11, -7, 0, 0, 3, 4, 10],\n [-1, -7, -10, -5, 3, -1, -1, 10],\n [-4, 0, -5, -5, 8, -1, -7, 6],\n [-11, 0, 3, 8, -3, -8, -10, -10],\n [-2, 3, -1, -1, -8, 5, -6, 8],\n [2, 4, -1, -7, -10, -6, 10, -6],\n [-9, 10, 10, 6, -10, 8, -6, 8]], determine the value at position (6, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50352780", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-8, 10, -12, -5, -1, 1, 3, -3],\n [2, 8, 11, 2, -3, 8, -6, -10],\n [-11, -7, 8, -4, -3, -9, -10, -4],\n [11, 9, 4, 1, -3, 0, -1, -12],\n [9, 6, 6, -7, 0, 6, 0, 9],\n [8, -9, 11, -11, 2, -1, -6, 7],\n [5, 10, 0, 4, -9, 12, 1, 7],\n [0, -10, 5, 1, 2, -10, -12, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5681195", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -6, 0, 0, -2, -2, -1],\n [-1, -10, 0, -4, -6, -7, 0, 2],\n [-6, 0, 2, -6, 2, 4, -1, 5],\n [0, -4, -6, 9, 2, 3, 6, -2],\n [0, -6, 2, 2, 5, 0, -3, 0],\n [-2, -7, 4, 3, 0, -7, 4, 4],\n [-2, 0, -1, 6, -3, 4, 1, -4],\n [-1, 2, 5, -2, 0, 4, -4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20847123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-5, 6, -8, 8, -8, -6, 0, 0],\n [6, -8, -6, 7, 2, -3, 3, -3],\n [-8, -6, -10, -1, -8, -8, 6, 0],\n [8, 7, -1, -3, 7, 0, 4, -8],\n [-8, 2, -8, 7, -9, -2, -7, -2],\n [-6, -3, -8, 0, -2, -3, -1, 1],\n [0, 3, 6, 4, -7, -1, -4, -3],\n [0, -3, 0, -8, -2, 1, -3, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61593181302", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 7) of the matrix A^7 where A is:\n[[-7, 3, 1, -5, -1, -8, -2, 2],\n [3, -11, 6, 8, 3, 3, -8, 8],\n [1, 6, -6, 4, -10, 0, -10, -5],\n [-5, 8, 4, 12, 4, 7, -2, 2],\n [-1, 3, -10, 4, 12, -6, 2, -2],\n [-8, 3, 0, 7, -6, -12, 12, -9],\n [-2, -8, -10, -2, 2, 12, -9, 8],\n [2, 8, -5, 2, -2, -9, 8, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5666535638", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-3, 0, -9, 5, -2, 12, -9, 11],\n [1, 5, -5, -3, -8, 10, -6, -1],\n [12, -10, -9, -3, -9, 2, -3, 8],\n [9, 3, 2, 6, 7, 6, 5, -1],\n [12, 3, -12, 3, -11, 11, 2, -6],\n [-12, -8, -3, 9, 8, -9, 1, 0],\n [-12, 3, 10, -4, 9, 3, 6, 2],\n [1, 7, -3, 8, -1, -12, 8, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8128125208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 4) of the result:\nA =\n[[-4, 10, 6, 12, 5, -6, -4, 9],\n [8, -1, -6, 1, 2, 2, -7, 8],\n [1, -11, -5, 0, 10, -7, -8, -8],\n [12, -12, -4, -7, 7, -6, -4, -8],\n [1, -8, -5, -6, 0, 0, -5, -2],\n [5, 12, 6, -7, 9, -11, 0, 10],\n [12, -2, -12, 11, -11, 4, -5, -11],\n [-7, 9, -8, 3, -5, 6, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-556755632", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[7, 0, 2, 11, 7, -6, 0, 0],\n [0, 5, -3, 0, 6, 0, 2, -1],\n [2, -3, -4, -4, 2, 8, 2, -2],\n [11, 0, -4, 12, 6, 3, -1, 2],\n [7, 6, 2, 6, -7, 0, -3, 8],\n [-6, 0, 8, 3, 0, 2, 8, -3],\n [0, 2, 2, -1, -3, 8, -10, 1],\n [0, -1, -2, 2, 8, -3, 1, -12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31493061983", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-12, -6, 5, 10, 10, 2, 12, 0],\n [3, -6, 3, 0, 1, 4, -1, 11],\n [11, 7, 0, 11, 7, 2, 11, 8],\n [-9, 9, -11, 5, -11, 12, 2, 6],\n [2, 7, -3, 11, 7, -2, -3, 10],\n [-8, -4, 7, 6, 0, 5, 4, -7],\n [-3, -11, 11, -7, 8, 0, 5, -6],\n [-11, 1, -8, 5, -2, -3, -2, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8184638", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[2, -8, -5, -3, -4, 6, -10, -2],\n [-8, 8, 9, 6, 4, 2, 7, 3],\n [-5, 9, -6, 3, 0, 0, 2, -10],\n [-3, 6, 3, 1, -1, 4, -2, 4],\n [-4, 4, 0, -1, 4, -2, 6, 12],\n [6, 2, 0, 4, -2, 10, -6, 2],\n [-10, 7, 2, -2, 6, -6, -7, 6],\n [-2, 3, -10, 4, 12, 2, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "778179478", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, -5, 1, -11, -2, -2, 11, 9],\n [11, -7, 8, 8, 1, -3, -5, -6],\n [-5, -5, 10, -11, 3, -4, 0, 10],\n [-1, 9, 12, 4, -11, 0, -12, 6],\n [-2, -8, -12, 7, 0, -5, -7, 4],\n [-1, -12, -10, 1, -5, -2, 1, -5],\n [-10, -6, 6, -9, 12, 3, 0, 7],\n [6, -8, 10, -8, 7, 11, -9, -11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7327702849", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[0, 4, 6, 0, 8, 3, -3, 10],\n [4, 10, 8, 6, 0, -5, 0, 3],\n [6, 8, 7, 0, 8, -11, 0, 3],\n [0, 6, 0, -8, 2, -5, 1, -3],\n [8, 0, 8, 2, -9, -4, -6, -8],\n [3, -5, -11, -5, -4, 12, 2, 2],\n [-3, 0, 0, 1, -6, 2, 4, 6],\n [10, 3, 3, -3, -8, 2, 6, -1]], determine the value at position (7, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43602483", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (7, 5) of the result:\nA =\n[[-4, 1, 7, -12, -3, 4, 4, 4],\n [-9, 4, 5, 7, 10, -11, -5, 0],\n [10, 12, 9, 7, 9, 2, 7, 10],\n [-4, -10, -10, -11, -12, 1, 4, 0],\n [6, 10, 2, 12, 1, -11, -6, 4],\n [5, -7, 8, -5, -11, -12, 3, -6],\n [9, 11, -2, 2, 0, 11, -11, 1],\n [11, -7, -4, -6, 5, 11, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37866972", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-9, -2, -8, 3, -3, 1, 5, -2],\n [-2, 11, 5, -8, 4, 6, 0, 0],\n [-8, 5, 0, 8, 6, 0, 7, 4],\n [3, -8, 8, 5, -6, 7, 8, 1],\n [-3, 4, 6, -6, 8, -4, 10, 8],\n [1, 6, 0, 7, -4, 7, -1, -3],\n [5, 0, 7, 8, 10, -1, 7, 4],\n [-2, 0, 4, 1, 8, -3, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86396423", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-4, 0, -7, 2, 6, 8, 2, 5],\n [-6, -2, -5, -7, -5, -11, 6, 3],\n [-6, -3, -1, 4, -6, 9, -5, -6],\n [-9, -10, 6, 2, -9, 12, -4, 0],\n [5, 8, 3, -12, -9, 5, -5, 7],\n [3, 8, -2, 7, 8, 8, 8, 6],\n [10, 6, 5, 6, -2, -10, -5, 7],\n [6, -3, 3, -8, 7, -4, -5, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92737781", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, -6, -3, 2, 6, 0, 8, 1],\n [-6, 2, 1, 2, -3, -2, 10, -8],\n [-3, 1, -12, 2, 1, 6, -8, -2],\n [2, 2, 2, -5, -2, -1, 0, -6],\n [6, -3, 1, -2, -1, 0, 0, 10],\n [0, -2, 6, -1, 0, 0, -1, 1],\n [8, 10, -8, 0, 0, -1, -3, 3],\n [1, -8, -2, -6, 10, 1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30098682", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 0, -4, -11, 5, 8, -12, 11],\n [8, -1, -3, -11, -4, -11, 10, 11],\n [9, 1, -2, 10, -2, 4, -9, 0],\n [-6, 3, -12, 0, -12, -2, -7, 7],\n [-10, -1, -8, -4, -1, -3, 6, -8],\n [-8, -4, 7, 4, -3, 8, -12, 9],\n [3, 2, 10, 4, 7, 12, 0, -12],\n [12, -5, -8, -7, 10, 7, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58562233", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^7 where A is:\n[[10, -2, -7, -2, 0, -1, 9, -11],\n [8, -10, 10, -9, 4, 9, -7, -6],\n [2, -2, 11, -10, -7, -11, 1, -4],\n [5, 6, -1, 0, -1, -1, 5, -4],\n [4, 8, 3, 4, 8, 11, -5, -2],\n [11, -11, -5, -1, 8, -12, 10, 0],\n [9, 8, 4, 1, 1, 3, 4, -7],\n [-6, -12, 12, 2, 7, 8, 5, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1143027207", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 5th power of the matrix:\n[[11, -11, 6, 2, -1, 2, 12, 5],\n [1, -7, -1, 7, 10, -7, -4, 12],\n [-9, 4, -11, 3, 11, 1, -5, 1],\n [-11, 3, -9, -12, 10, 7, 1, -5],\n [12, 12, -10, -8, -7, 9, -5, -7],\n [-7, -9, -6, 11, 6, -6, -10, -5],\n [-12, -12, 1, -7, -3, 12, 1, -9],\n [-7, 3, 8, -12, -7, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2957972", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-10, -2, 2, -10, 1, -11, -9, 6],\n [-1, -11, 4, -10, -3, 3, 9, -4],\n [-2, 8, 2, -10, 3, 8, 8, 8],\n [-1, 10, -8, -6, -4, 8, 5, 8],\n [-5, -1, 7, -11, -3, 6, -4, 12],\n [11, -5, 11, 11, 11, -12, -7, -1],\n [12, 11, 6, 4, -11, -2, 5, 10],\n [9, -2, 5, -5, 2, -4, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136074400", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[7, 0, 0, -12, 7, -9, 11, -9],\n [-9, 0, -11, 10, 2, -9, -7, -10],\n [-6, -7, -10, -9, -3, 8, -4, -7],\n [7, -2, -6, 5, -9, -8, -9, -9],\n [0, 3, 12, 1, -2, -11, 9, 1],\n [11, 11, -6, -2, -9, -6, 3, -7],\n [-7, -11, 11, -5, -6, 12, 11, 1],\n [-4, 2, 12, 9, 5, -1, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48953084", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[0, 2, 2, 4, 1, -4, 4, -2],\n [2, -7, -4, 1, -1, 4, -7, -1],\n [2, -4, -5, -6, -2, 8, 0, 4],\n [4, 1, -6, -12, 2, 4, -6, -1],\n [1, -1, -2, 2, 12, 6, -1, 4],\n [-4, 4, 8, 4, 6, 12, 5, -4],\n [4, -7, 0, -6, -1, 5, -2, 4],\n [-2, -1, 4, -1, 4, -4, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1012024", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[7, 4, 7, 3, -8, -10, 2, -11],\n [0, 9, -5, 10, 4, -9, 6, 9],\n [12, -4, 10, 2, -4, 11, 8, -4],\n [1, 10, 8, 3, 11, 10, 12, 4],\n [0, -4, 2, -6, -12, -12, -8, 11],\n [-4, -1, -7, 0, -5, 2, -7, -7],\n [-9, -2, 8, 5, -10, -10, -1, 8],\n [8, -7, 8, -7, -5, 2, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104325408", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[3, 2, 8, 5, -6, 0, 0, 0],\n [2, -8, -6, 0, -2, -4, 4, 0],\n [8, -6, -12, 0, 9, 2, -2, 0],\n [5, 0, 0, 1, 4, 8, 10, 1],\n [-6, -2, 9, 4, -11, -6, 4, 9],\n [0, -4, 2, 8, -6, -4, -8, 4],\n [0, 4, -2, 10, 4, -8, 1, -4],\n [0, 0, 0, 1, 9, 4, -4, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-541096", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (7, 2) of the result:\nA =\n[[1, -1, 3, -7, 7, -12, -1, -6],\n [-5, -4, -11, 4, 7, 0, -8, -3],\n [-1, 4, 8, -7, -10, 2, -6, -7],\n [-9, 6, -8, -10, 12, -4, -7, 0],\n [9, 7, -9, -11, -9, -5, 0, -3],\n [5, -4, -12, 0, 5, 2, -11, -2],\n [1, 9, 2, 1, 3, 10, 2, 6],\n [-4, -8, -8, -2, 7, 12, 11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1210787", "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[[7, 8, 10, -4, -9, 2, 0, -6],\n [8, 3, 3, -3, -2, 6, 0, 6],\n [10, 3, 5, 0, 0, 4, -4, 0],\n [-4, -3, 0, 7, 0, 2, 2, 2],\n [-9, -2, 0, 0, 5, -8, -4, 7],\n [2, 6, 4, 2, -8, -1, 4, 4],\n [0, 0, -4, 2, -4, 4, 12, 2],\n [-6, 6, 0, 2, 7, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2360522011", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-3, -1, 1, -2, -9, 4, 6, 2],\n [-1, 3, 0, 2, 10, 0, 9, 9],\n [1, 0, -4, 8, 0, 8, -4, 4],\n [-2, 2, 8, 7, 0, -8, -8, -4],\n [-9, 10, 0, 0, -6, -5, -1, 7],\n [4, 0, 8, -8, -5, 4, 0, 3],\n [6, 9, -4, -8, -1, 0, 3, 3],\n [2, 9, 4, -4, 7, 3, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2215778957", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-9, 6, -2, 0, 3, 2, 3, -1],\n [6, -6, 2, -5, -2, -4, -2, -2],\n [-2, 2, -6, -2, -3, 0, -3, 12],\n [0, -5, -2, 1, 0, -10, 0, 0],\n [3, -2, -3, 0, -3, -2, -2, 2],\n [2, -4, 0, -10, -2, -9, 0, 1],\n [3, -2, -3, 0, -2, 0, 12, 8],\n [-1, -2, 12, 0, 2, 1, 8, -8]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16613426", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[0, 0, -8, -1, 2, 0, -6, 4],\n [0, -1, -4, 4, -4, 0, 2, 8],\n [-8, -4, -3, 8, -1, 0, 2, 4],\n [-1, 4, 8, 8, 2, -3, -8, 4],\n [2, -4, -1, 2, 4, -2, -2, 0],\n [0, 0, 0, -3, -2, 12, -2, 5],\n [-6, 2, 2, -8, -2, -2, 2, -4],\n [4, 8, 4, 4, 0, 5, -4, -10]], determine the value at position (2, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19119320", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-4, -2, -2, 12, 9, -3, 1, -4],\n [7, 8, -3, 9, -4, -8, -5, -2],\n [-12, 8, -3, -12, 9, -6, 1, -8],\n [4, 9, 8, -7, 3, -2, -3, 2],\n [-6, 10, -11, -1, 6, -1, 3, -7],\n [-10, -11, 7, -8, -2, 12, -10, -10],\n [9, -8, 9, 10, -2, -10, 0, 8],\n [-5, 7, -3, -11, -9, 5, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65310477", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[7, -4, 3, -7, 12, -9, -4, 0],\n [-4, -7, 8, 6, 1, 8, 2, -10],\n [-8, 8, 5, 1, 3, 1, -4, 2],\n [-6, 1, -7, 8, 2, 7, -5, -11],\n [-5, -12, 4, 6, -8, 9, 7, 3],\n [-6, -6, 5, 5, -11, 2, 1, 5],\n [-4, 1, -8, -2, -5, -8, -2, -8],\n [4, 9, -9, 2, 6, 9, -11, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30170108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, 2, 8, 0, 2, 4, 0, 2],\n [2, 5, 2, 4, 8, -4, 2, -4],\n [8, 2, -6, 0, -3, -2, -4, 2],\n [0, 4, 0, -1, -10, 0, -5, -2],\n [2, 8, -3, -10, 7, 0, 4, 2],\n [4, -4, -2, 0, 0, 11, 0, -4],\n [0, 2, -4, -5, 4, 0, 11, 4],\n [2, -4, 2, -2, 2, -4, 4, -6]], determine the value at position (5, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185722778", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[12, 6, 11, 2, -4, -3, 10, 7],\n [7, -9, -7, -9, -8, -4, -1, 10],\n [-5, 8, -8, -2, 10, -2, 0, 1],\n [-5, 12, 5, 6, -1, -1, 5, -3],\n [-6, 5, -1, 1, 2, 3, -11, 5],\n [-1, 3, 0, 7, 4, 5, -10, 10],\n [-3, -12, -7, -10, 6, -9, 7, 10],\n [-10, -5, -5, -6, -11, 8, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "626236761", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-3, 0, -5, 2, -2, 3, -3, -6],\n [0, 5, 0, -4, -3, -8, 2, 3],\n [-5, 0, -2, -5, 6, 8, 8, -6],\n [2, -4, -5, -3, 2, -1, 0, -8],\n [-2, -3, 6, 2, -8, 8, -10, -3],\n [3, -8, 8, -1, 8, 10, 8, 8],\n [-3, 2, 8, 0, -10, 8, 1, 3],\n [-6, 3, -6, -8, -3, 8, 3, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "582051115", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[11, -7, 7, 12, 1, -1, -6, 5],\n [-7, -4, 4, -2, 1, 4, -3, -8],\n [7, 4, 2, -6, -2, -2, -2, 7],\n [12, -2, -6, 6, 2, -2, 4, 3],\n [1, 1, -2, 2, 12, -2, 6, -1],\n [-1, 4, -2, -2, -2, 8, 10, -1],\n [-6, -3, -2, 4, 6, 10, -9, -2],\n [5, -8, 7, 3, -1, -1, -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": "2294467710", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, -12, -7, -6, 6, -1, -12, -6],\n [6, 0, -1, -1, 9, 0, 1, 9],\n [-1, 7, -1, -7, -3, 7, 11, -4],\n [-11, -6, -4, 12, -1, -8, -12, 9],\n [2, -5, -12, 5, 0, -12, -8, 5],\n [3, -3, -9, -12, 10, -5, -8, -11],\n [11, 4, -6, 4, -7, 9, 2, -8],\n [2, 5, 5, 12, 8, 8, 10, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1267070868", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, 2, 4, -4, 2, 4, -5, 0],\n [2, 2, 3, 0, 0, 4, -4, -6],\n [4, 3, -10, 4, -2, 2, 2, 3],\n [-4, 0, 4, -9, 6, -8, -2, 0],\n [2, 0, -2, 6, 0, -2, -6, -4],\n [4, 4, 2, -8, -2, 6, 6, -2],\n [-5, -4, 2, -2, -6, 6, 3, 4],\n [0, -6, 3, 0, -4, -2, 4, -10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52674593", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-2, -10, -3, 5, -12, 3, 3, -3],\n [-12, -9, -10, -8, -1, 12, -1, 0],\n [11, -1, 12, 3, 0, -8, 11, -9],\n [8, 2, -1, 6, 8, 6, 8, -2],\n [8, -7, -4, -12, -1, 1, -7, -12],\n [9, -11, 11, -2, -10, -3, -7, -7],\n [7, 8, -11, 11, -3, 10, -7, 10],\n [4, 1, -8, 10, 4, -11, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2043810", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (6, 3) of the result:\nA =\n[[6, 4, -2, -1, 4, 7, 7, -3],\n [4, 2, 5, 4, 4, 6, -5, -6],\n [-2, 5, 0, -5, 6, 0, 6, 9],\n [-1, 4, -5, -10, 2, -3, -2, 2],\n [4, 4, 6, 2, 3, 0, -1, -2],\n [7, 6, 0, -3, 0, 1, 0, -4],\n [7, -5, 6, -2, -1, 0, 1, 8],\n [-3, -6, 9, 2, -2, -4, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109505", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[6, -4, 0, 0, 11, 3, 2, 6],\n [-4, -8, -6, -12, -2, 5, -7, 4],\n [0, -6, 5, 10, 6, 8, -2, -2],\n [0, -12, 10, 5, 4, -4, -2, 8],\n [11, -2, 6, 4, -1, 6, 5, -9],\n [3, 5, 8, -4, 6, 4, 6, 9],\n [2, -7, -2, -2, 5, 6, -7, -2],\n [6, 4, -2, 8, -9, 9, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25591391762", "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, -7, 0, -4, -8, 6, 6, -3],\n [-7, 9, 2, -3, -6, -8, -4, -2],\n [0, 2, -7, -2, 8, 6, 0, -2],\n [-4, -3, -2, 2, -8, 7, 2, 5],\n [-8, -6, 8, -8, 12, 6, -6, -7],\n [6, -8, 6, 7, 6, 10, 6, -3],\n [6, -4, 0, 2, -6, 6, 3, 2],\n [-3, -2, -2, 5, -7, -3, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100875144392", "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, -2, 5, -7, -8, 6, -2],\n [8, 6, 3, -2, -6, -2, 3, 0],\n [-2, 3, 2, 1, 6, -2, 3, 6],\n [5, -2, 1, 8, -4, -3, 7, -2],\n [-7, -6, 6, -4, -4, 2, -8, -7],\n [-8, -2, -2, -3, 2, 5, 4, -2],\n [6, 3, 3, 7, -8, 4, 8, 3],\n [-2, 0, 6, -2, -7, -2, 3, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59551046175", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-10, 4, 7, 2, 8, 4, -5, -11],\n [4, 5, -8, -4, -4, -11, -11, 6],\n [10, -10, 4, 1, 1, 1, -7, -10],\n [-12, 3, -9, -12, 4, 5, -5, -11],\n [5, 3, -3, -5, -1, 9, 3, -1],\n [-2, 7, 6, -12, -10, -1, -4, 8],\n [9, -8, -12, -3, 4, -9, 2, 6],\n [-5, 10, 2, -6, 2, -5, 10, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1813973627", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[5, -9, 2, -2, 9, -10, 2, -10],\n [2, -7, -12, 1, 3, -12, 8, 4],\n [-5, 5, 3, -7, -3, -3, -8, -1],\n [7, 4, 1, 1, -10, -1, 7, 5],\n [-1, -11, -11, 4, -3, 5, 9, 6],\n [8, -12, 11, -9, 12, -9, -11, 6],\n [8, -1, -3, 0, 9, 10, 7, 10],\n [2, -10, 10, 7, 0, -5, 12, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58686151", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (4, 7) of the result:\nA =\n[[11, -5, 5, -4, -7, -9, 2, -8],\n [-8, -6, -4, -6, -4, 7, -3, -9],\n [-7, 11, 1, -4, -12, 4, 0, 11],\n [-6, -4, -2, -10, -1, 8, -10, 2],\n [8, -3, -12, 1, 7, -7, -11, 10],\n [-5, -12, -9, -9, -8, 7, -4, 10],\n [0, 5, 4, 12, -12, 9, 2, -11],\n [3, 7, 9, -8, 9, 6, -8, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6122590", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-6, 1, 0, 5, 8, -4, 4, -2],\n [1, 11, -9, -4, 6, -2, 10, -8],\n [0, -9, 7, -2, 6, -1, 4, 2],\n [5, -4, -2, -12, 4, -8, 8, -2],\n [8, 6, 6, 4, 10, -4, -2, 0],\n [-4, -2, -1, -8, -4, 2, -4, -2],\n [4, 10, 4, 8, -2, -4, 0, 8],\n [-2, -8, 2, -2, 0, -2, 8, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "768718", "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, 0, 6, -2, 4, -2, 1, 6],\n [0, 5, -2, 5, -7, -5, -6, 1],\n [6, -2, 5, 2, 2, 9, -1, -4],\n [-2, 5, 2, -9, -2, 8, 0, 3],\n [4, -7, 2, -2, 10, 2, 7, -12],\n [-2, -5, 9, 8, 2, 1, -10, 0],\n [1, -6, -1, 0, 7, -10, 10, -2],\n [6, 1, -4, 3, -12, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2003618444", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 2) of the 5th power of the matrix:\n[[11, 11, 2, 3, 4, 4, -1, -3],\n [7, -7, -5, 0, -11, 6, 9, -3],\n [-9, -1, 5, -6, 7, 11, 11, 10],\n [12, -9, -6, -3, 2, -1, -12, 7],\n [5, 12, 3, -8, 6, -9, -7, 4],\n [-6, 11, 10, -6, -4, 0, 7, 1],\n [3, 10, -4, 2, -8, 5, 8, 7],\n [-5, 2, 8, 12, -4, 6, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-432637", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-9, -2, -3, -10, -12, -1, 10, 2],\n [2, 8, 1, -6, 4, 11, 6, -6],\n [-10, -10, 12, 5, 7, 9, 1, -10],\n [-6, -6, -8, -10, 5, 2, 7, 1],\n [-9, 11, -5, 8, 0, 9, -5, 2],\n [4, -8, 7, -9, -2, 5, -3, 4],\n [2, -7, 10, 8, 3, 2, -5, -4],\n [-2, -11, 0, -9, -4, -8, 6, 9]], determine the value at position (4, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3181484", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, 8, 1, -1, 0, -8, 5, -10],\n [8, 11, -8, -2, 8, 5, -2, 0],\n [1, -8, 11, -8, 6, 2, 4, 8],\n [-1, -2, -8, 3, 0, -4, -4, 4],\n [0, 8, 6, 0, -7, -8, 0, 4],\n [-8, 5, 2, -4, -8, 9, -6, 8],\n [5, -2, 4, -4, 0, -6, -6, -1],\n [-10, 0, 8, 4, 4, 8, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163795943", "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, 6, -9, -2, -2, 8, 2, -6],\n [6, -4, 4, 0, 4, -8, 6, 0],\n [-9, 4, -9, 2, 6, -2, -7, 6],\n [-2, 0, 2, -12, 11, 0, -2, 6],\n [-2, 4, 6, 11, 4, -2, -6, -4],\n [8, -8, -2, 0, -2, 8, 12, 2],\n [2, 6, -7, -2, -6, 12, -8, -2],\n [-6, 0, 6, 6, -4, 2, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67324989091", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[7, 10, -2, 8, -1, -10, 4, -6],\n [9, -3, 10, 2, -11, 0, -9, 5],\n [11, 10, -12, -11, -11, -9, -10, 4],\n [1, -11, 3, -2, 12, 0, -12, 12],\n [10, -11, -11, 8, -8, -9, -1, -10],\n [7, -3, 7, 5, 8, 8, 8, -3],\n [-12, -7, -2, -11, -6, 7, 8, 8],\n [8, 5, 8, 6, -9, 0, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3579764", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[12, 11, 0, 6, 4, -12, -7, 6],\n [7, -12, -5, 4, 8, 9, 2, 5],\n [-6, 3, -6, 4, -9, -1, 0, -9],\n [8, -12, -12, -6, -4, -12, 3, 5],\n [9, 2, -7, -11, -4, -9, 0, 10],\n [9, -2, 0, -2, 6, -5, -6, 12],\n [3, -10, 4, 5, 2, 4, -2, -8],\n [3, 2, -3, 1, -11, 3, 6, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030940556", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[2, 4, 2, 6, 1, 2, 0, 1],\n [4, 0, -2, 4, 4, 4, 1, 0],\n [2, -2, -12, -1, 0, 0, 2, -2],\n [6, 4, -1, 1, 2, 2, -8, -1],\n [1, 4, 0, 2, -11, -9, 7, -4],\n [2, 4, 0, 2, -9, -7, 0, 6],\n [0, 1, 2, -8, 7, 0, 1, -3],\n [1, 0, -2, -1, -4, 6, -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": "10571629963", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[8, 5, -2, -2, 2, 0, -2, -1],\n [5, 10, 6, 4, 2, -3, -4, -2],\n [-2, 6, -6, 3, -3, 6, -1, 1],\n [-2, 4, 3, -6, 3, 3, 2, -6],\n [2, 2, -3, 3, -5, -1, -4, 8],\n [0, -3, 6, 3, -1, -5, 4, 1],\n [-2, -4, -1, 2, -4, 4, 2, 0],\n [-1, -2, 1, -6, 8, 1, 0, -2]], determine the value at position (2, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-247692", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (8, 5) of the result:\nA =\n[[-7, 11, 12, -12, 12, -11, 0, -12],\n [11, 11, -9, 11, 10, -11, 8, 7],\n [3, -10, 4, -8, -5, -1, 12, 10],\n [-1, -12, -12, 2, 4, -11, 4, 7],\n [-4, -1, -9, 0, -9, -6, 1, -4],\n [10, -12, -12, 7, -9, -12, 9, -3],\n [-11, 8, 11, 2, -10, 12, 10, -4],\n [4, 8, 0, -10, -9, -9, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14217274", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 6th power of the matrix:\n[[-2, 11, -2, -3, -8, 0, -1, -3],\n [-6, 6, 6, 6, -1, 7, 9, 2],\n [-8, 11, 1, -1, 8, -2, -8, 3],\n [5, -1, -8, 3, -1, 10, -11, -7],\n [10, 8, 12, -9, 0, -3, 4, 1],\n [11, 2, -5, 10, 11, 5, -10, 12],\n [4, 11, 11, -6, 0, 3, -8, -9],\n [-3, 0, -3, 1, 9, -1, -12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70417", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[7, 1, -8, 2, 2, -2, 0, 4],\n [1, 8, 8, -3, 7, 1, 4, -2],\n [-8, 8, -11, -6, -5, 6, -4, 4],\n [2, -3, -6, -8, -4, 8, -12, -7],\n [2, 7, -5, -4, 3, 0, -2, 8],\n [-2, 1, 6, 8, 0, 12, -6, 0],\n [0, 4, -4, -12, -2, -6, -8, 8],\n [4, -2, 4, -7, 8, 0, 8, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29516426", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[10, -8, -8, 0, 4, -3, -10, -6],\n [-8, -2, -2, -8, -2, 4, 0, -6],\n [-8, -2, 11, -8, 4, -2, 4, 7],\n [0, -8, -8, -8, -8, 6, 0, -1],\n [4, -2, 4, -8, -11, 4, -5, 7],\n [-3, 4, -2, 6, 4, 5, 2, -2],\n [-10, 0, 4, 0, -5, 2, -11, 0],\n [-6, -6, 7, -1, 7, -2, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "629554451", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-10, 6, -6, -2, 6, -10, 2, -12],\n [6, -12, -6, 0, -9, -6, -4, -6],\n [-6, -6, 10, -5, 3, -7, 0, -5],\n [-2, 0, -5, -10, -1, 2, -8, 5],\n [6, -9, 3, -1, 8, -1, 2, 6],\n [-10, -6, -7, 2, -1, 1, 10, 2],\n [2, -4, 0, -8, 2, 10, -8, -2],\n [-12, -6, -5, 5, 6, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61036660382", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (4, 6) of the result:\nA =\n[[-1, -10, 5, 11, -7, -6, -12, -7],\n [5, 0, 9, 6, -6, 6, -4, -10],\n [10, -1, 7, 11, 5, -5, -4, 0],\n [-5, 9, -3, 4, -6, 4, 10, 5],\n [11, -11, -10, 6, -12, 8, 8, -3],\n [8, 1, 0, -4, -7, -7, 6, 8],\n [-3, 10, -10, 5, 8, 6, -8, 12],\n [-2, -3, 4, -9, 8, 5, 5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9849764", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[1, 0, -8, 0, 5, -6, -9, -8],\n [0, 8, -4, -8, -2, 0, 7, -4],\n [-8, -4, 9, 6, 6, 3, -3, 0],\n [0, -8, 6, 1, 0, 8, -6, -9],\n [5, -2, 6, 0, 11, 8, -8, -2],\n [-6, 0, 3, 8, 8, 11, -12, 2],\n [-9, 7, -3, -6, -8, -12, -7, -5],\n [-8, -4, 0, -9, -2, 2, -5, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29237295315", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-3, -1, 5, 8, 8, -12, -10, -8],\n [12, 4, -5, 4, -4, -7, 4, -5],\n [8, -6, -6, 2, -6, 9, -5, -4],\n [2, -11, -6, 2, 5, 9, 5, -3],\n [9, 5, -12, -6, -10, 1, -1, 1],\n [-9, 0, 3, 3, 9, -8, 7, 12],\n [-7, -7, 5, -7, -6, 11, 11, 3],\n [-4, 0, -1, 6, 10, 10, -12, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173681614", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-9, 7, 0, 2, 2, 1, -3, -4],\n [7, -12, 2, -10, -1, 4, 1, -1],\n [0, 2, 12, -6, 2, 2, 5, 6],\n [2, -10, -6, -8, -8, -6, 4, -6],\n [2, -1, 2, -8, 8, 0, 0, 6],\n [1, 4, 2, -6, 0, 7, 0, 3],\n [-3, 1, 5, 4, 0, 0, 1, -1],\n [-4, -1, 6, -6, 6, 3, -1, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52519816828", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, 8, 0, -4, 3, -8, 6, 2],\n [8, 12, 4, -3, 12, 6, -4, 9],\n [0, 4, -2, -9, -2, -2, -10, 2],\n [-4, -3, -9, -3, -8, 2, 3, 6],\n [3, 12, -2, -8, 11, -8, -2, -4],\n [-8, 6, -2, 2, -8, -12, -2, -1],\n [6, -4, -10, 3, -2, -2, 1, 0],\n [2, 9, 2, 6, -4, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139667700", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (8, 6) of the result:\nA =\n[[-3, -6, 3, 0, -2, -5, -7, -4],\n [-6, 5, 5, 0, 3, -4, 3, 7],\n [3, 5, 7, -3, -8, 2, 4, -3],\n [0, 0, -3, -2, 1, 11, 0, 6],\n [-2, 3, -8, 1, 7, 9, -4, -1],\n [-5, -4, 2, 11, 9, 1, -10, 8],\n [-7, 3, 4, 0, -4, -10, 11, -3],\n [-4, 7, -3, 6, -1, 8, -3, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5389855", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[3, -4, 2, -8, 4, -2, -2, 1],\n [-4, -8, 0, 2, 2, 4, -6, 4],\n [2, 0, 3, 2, 1, -11, 8, 4],\n [-8, 2, 2, 5, 4, 1, -2, 0],\n [4, 2, 1, 4, -9, 4, 10, -2],\n [-2, 4, -11, 1, 4, 5, 2, 4],\n [-2, -6, 8, -2, 10, 2, -11, 0],\n [1, 4, 4, 0, -2, 4, 0, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2871396", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-12, 5, 0, -8, -10, -6, 3, -8],\n [5, 10, -4, -7, 8, 0, 1, -3],\n [0, -4, 7, -8, -3, 0, -5, 4],\n [-8, -7, -8, 7, 2, -6, -8, 2],\n [-10, 8, -3, 2, -4, 2, 2, 0],\n [-6, 0, 0, -6, 2, 3, 3, 0],\n [3, 1, -5, -8, 2, 3, 2, 2],\n [-8, -3, 4, 2, 0, 0, 2, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9081909881", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[4, -3, -6, -2, 6, 5, 0, -4],\n [-3, -2, 3, 1, 2, -1, 1, 3],\n [-6, 3, -5, 7, -6, 4, -4, 2],\n [-2, 1, 7, -12, -2, 4, -6, -3],\n [6, 2, -6, -2, 6, -2, -8, 2],\n [5, -1, 4, 4, -2, -9, 1, 8],\n [0, 1, -4, -6, -8, 1, -12, -2],\n [-4, 3, 2, -3, 2, 8, -2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33174136377", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-3, -2, -4, 1, -3, 9, 9, -7],\n [-2, 8, 4, -2, -8, 0, -4, 1],\n [-4, 4, 2, -1, -2, -7, -4, 1],\n [1, -2, -1, -9, 4, 1, 3, -4],\n [-3, -8, -2, 4, -8, 2, 8, 7],\n [9, 0, -7, 1, 2, 9, 0, 0],\n [9, -4, -4, 3, 8, 0, -10, -2],\n [-7, 1, 1, -4, 7, 0, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1530039", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-12, 6, -6, -9, -1, 7, 10, 12],\n [5, -4, 6, 9, -9, -12, -4, 2],\n [9, -5, 2, 2, 5, -6, 9, 5],\n [3, -11, -9, 7, 3, -10, 11, 10],\n [-11, -10, 12, -8, -11, 6, 11, 7],\n [-11, -11, 9, 11, 10, 7, 5, 12],\n [7, 12, 8, 1, 2, -1, -2, -2],\n [-6, -1, 3, -8, -11, 9, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1503569265", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[2, -2, -7, 0, 6, -3, 11, 6],\n [-8, 12, 8, -6, -2, 1, 10, 8],\n [3, 5, 8, 10, 10, -9, -12, 9],\n [2, 1, 6, -8, -9, 0, 5, -1],\n [10, 8, 2, 10, -4, -9, -8, -4],\n [0, -3, 3, 0, -9, 8, 0, 8],\n [-5, 0, 2, 7, 7, 0, 10, -8],\n [9, 9, -7, -8, 0, -8, 12, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10683779", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 5th power of the matrix:\n[[11, 7, 10, -5, -4, 8, 6, 7],\n [2, 9, -3, -2, -8, -4, -2, 6],\n [-11, -7, 10, 8, -12, -10, -10, 1],\n [7, 9, -8, 4, 2, -7, 1, 1],\n [12, 4, -5, -5, 6, -4, -2, 0],\n [0, 11, 6, 8, 6, -8, 3, -4],\n [7, 9, -10, 6, -8, -5, 1, 11],\n [-10, 11, 0, -2, -5, 6, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1633356", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 6) of the matrix A^6 where A is:\n[[5, 12, -8, 5, 1, 6, 7, -1],\n [12, -12, 4, 4, 1, -6, -10, -8],\n [-8, 4, -4, 2, 2, 8, -2, -8],\n [5, 4, 2, 7, 1, -7, 4, -6],\n [1, 1, 2, 1, -5, 4, -10, 0],\n [6, -6, 8, -7, 4, 9, 2, 6],\n [7, -10, -2, 4, -10, 2, -4, 2],\n [-1, -8, -8, -6, 0, 6, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25039201", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-2, 0, 7, -9, -2, -1, -8, -3],\n [12, 11, -6, 8, -4, -4, -3, -3],\n [-11, -9, -5, 1, 4, 0, 8, 11],\n [5, 5, 0, -5, -1, 12, 10, 11],\n [8, -12, 7, 5, -10, -1, 6, 12],\n [0, -3, 2, 7, -11, 6, -10, 1],\n [-6, -5, -2, 9, 7, -7, -2, 4],\n [-3, 11, 4, 8, -11, -7, 12, -8]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95692672", "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, 0, -4, -9, 8, 3, -2],\n [-2, 8, -3, -6, -3, 7, -8, 2],\n [0, -3, 2, 5, -6, 6, 4, -2],\n [-4, -6, 5, 9, 0, -4, 8, -4],\n [-9, -3, -6, 0, 0, 2, -8, 4],\n [8, 7, 6, -4, 2, -5, -8, -3],\n [3, -8, 4, 8, -8, -8, 1, 1],\n [-2, 2, -2, -4, 4, -3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65940357590", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[6, 4, -1, 2, -1, 12, -4, -8],\n [-9, -1, 3, -4, 12, -10, 8, -10],\n [5, 4, -3, -11, 11, -2, 11, -10],\n [10, 10, -11, -4, 6, -11, 6, -11],\n [2, 11, 8, -10, -8, -2, 11, -6],\n [-7, 1, -12, 4, 4, 1, -3, -5],\n [-5, 1, -6, -7, -9, -12, 2, 12],\n [2, -12, 7, -10, 10, -8, -8, -9]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71470899", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[4, 0, 3, 2, 2, -4, -2, -6],\n [0, 6, 0, -9, 2, 8, 8, 5],\n [3, 0, -12, 2, -2, -2, 2, -6],\n [2, -9, 2, -7, 10, 4, 3, 6],\n [2, 2, -2, 10, 10, 0, 8, 9],\n [-4, 8, -2, 4, 0, 8, 6, -10],\n [-2, 8, 2, 3, 8, 6, -11, -6],\n [-6, 5, -6, 6, 9, -10, -6, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3369784", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[0, -2, 10, -8, -4, -2, -5, -1],\n [-2, 12, -2, -2, 7, 4, 2, 1],\n [10, -2, 10, 8, -8, 10, -4, 4],\n [-8, -2, 8, 10, -4, 4, -4, -5],\n [-4, 7, -8, -4, 2, 6, 6, 0],\n [-2, 4, 10, 4, 6, 1, 6, 4],\n [-5, 2, -4, -4, 6, 6, 7, -4],\n [-1, 1, 4, -5, 0, 4, -4, -1]], determine the value at position (2, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3080860", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[7, -10, -10, 1, 5, 6, -3, 4],\n [2, 6, -4, -9, 2, 6, 3, -5],\n [4, 8, -12, -6, 8, 5, -1, 3],\n [-12, 2, -6, 4, -10, -2, -7, -7],\n [2, -6, -2, 4, 10, 5, 9, 11],\n [8, 6, -5, 11, 7, -5, 8, -2],\n [8, -10, 10, 1, -4, 12, -12, -12],\n [-1, -2, 8, -12, 7, -1, 4, 2]], determine the value at position (4, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1995650", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 5, 3, -9, -5, -11, 1, 12],\n [2, -4, -11, 4, -3, -4, -11, 11],\n [6, 4, -2, 4, -3, 5, 10, -7],\n [3, 5, 7, 5, -12, -10, 2, 7],\n [-3, 8, -8, 2, 10, 1, 2, -3],\n [11, -4, -1, -6, -8, 12, 11, -3],\n [12, -5, 9, 7, 12, 3, -1, -4],\n [-3, 3, -3, -4, -10, 6, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35309812", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-7, -4, 2, 4, 10, -4, 0, 1],\n [-4, 10, 3, 9, 2, 1, 1, 4],\n [2, 3, 11, -2, 6, 4, 2, 8],\n [4, 9, -2, 9, 6, 2, -6, -2],\n [10, 2, 6, 6, 12, -9, 4, 0],\n [-4, 1, 4, 2, -9, 0, 0, 2],\n [0, 1, 2, -6, 4, 0, -1, 6],\n [1, 4, 8, -2, 0, 2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33618727838", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 8) of the 5th power of the matrix:\n[[-4, 2, 3, 8, -5, 3, -8, 5],\n [7, 1, -11, 10, 10, -10, 1, -6],\n [2, 4, -12, -4, 9, 1, 3, 8],\n [0, -7, 9, -12, 8, 12, -9, -10],\n [4, -11, 6, 7, 10, 9, -5, 12],\n [2, -7, 10, 7, -11, 12, 12, 2],\n [7, -1, -10, -3, 1, 9, 1, -10],\n [-12, 7, -12, -11, 6, 11, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7394706", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-9, 4, -4, -3, 3, 3, 0, 6],\n [4, -3, 7, 4, 6, -2, -7, 4],\n [-4, 7, -5, 2, 4, 6, 0, -8],\n [-3, 4, 2, -4, 2, 0, 2, -1],\n [3, 6, 4, 2, -3, 7, 3, -8],\n [3, -2, 6, 0, 7, -1, -4, -4],\n [0, -7, 0, 2, 3, -4, -7, -7],\n [6, 4, -8, -1, -8, -4, -7, 7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "872615795", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (1, 6) of the result:\nA =\n[[5, -8, -6, 4, 0, 4, 0, -8],\n [-8, -8, 0, -6, 1, 2, 8, -6],\n [-6, 0, 8, -2, -10, 4, 7, 6],\n [4, -6, -2, -6, 1, 2, -6, 2],\n [0, 1, -10, 1, -4, 8, 4, 0],\n [4, 2, 4, 2, 8, 4, 0, 9],\n [0, 8, 7, -6, 4, 0, -11, 0],\n [-8, -6, 6, 2, 0, 9, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26300040", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 5) of the matrix A^5 where A is:\n[[3, 1, -7, 5, -2, -10, 2, 0],\n [1, 1, 4, -6, -8, 0, 1, 0],\n [-7, 4, -5, 5, 0, -10, -2, -8],\n [5, -6, 5, 9, 7, 2, 2, -3],\n [-2, -8, 0, 7, -6, 6, -4, -3],\n [-10, 0, -10, 2, 6, -12, 0, -7],\n [2, 1, -2, 2, -4, 0, -5, 6],\n [0, 0, -8, -3, -3, -7, 6, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-462386", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, 4, -6, 7, 5, 2, 5, 11],\n [10, -1, 10, 8, -5, -11, -11, -8],\n [-12, 9, -9, -7, 10, 0, 6, -2],\n [0, -5, -6, 0, -12, -7, -6, 3],\n [2, 7, -11, 12, 10, 3, 4, 11],\n [2, -10, -9, -1, -8, 4, -7, -3],\n [9, 5, -3, -7, 11, -7, 7, 2],\n [-9, 12, 3, 9, 11, -5, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187485243", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (7, 3) of the result:\nA =\n[[4, 9, -4, -2, -1, -2, 2, 4],\n [9, -2, -5, 8, 8, 4, 9, 10],\n [-4, -5, 6, 3, -5, -8, 0, 2],\n [-2, 8, 3, 4, -6, 1, -10, 8],\n [-1, 8, -5, -6, 1, 0, 2, -4],\n [-2, 4, -8, 1, 0, -7, -11, 0],\n [2, 9, 0, -10, 2, -11, -10, -7],\n [4, 10, 2, 8, -4, 0, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1689177", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-6, 6, 6, 6, -3, 4, -5, -4],\n [6, 12, -8, 0, 7, 2, -4, -1],\n [6, -8, 7, 2, 6, 2, -7, 0],\n [6, 0, 2, -5, -8, 2, -3, 0],\n [-3, 7, 6, -8, -9, 2, -8, -4],\n [4, 2, 2, 2, 2, 8, 0, 2],\n [-5, -4, -7, -3, -8, 0, 4, 2],\n [-4, -1, 0, 0, -4, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18841432437", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 7) of the matrix A^7 where A is:\n[[4, -11, -5, -8, -6, 9, 3, 3],\n [4, 9, -6, 7, -5, -5, 10, -2],\n [2, 5, -7, 9, -1, 2, 10, -7],\n [5, 11, 7, -4, -5, 1, 6, 6],\n [-5, -11, 12, -9, -7, -10, -10, 6],\n [-2, -3, -1, 1, 5, 11, -4, 2],\n [11, -10, 10, -2, -3, 5, -9, 0],\n [-7, 8, 0, 12, 7, -8, 7, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "734216825", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[0, 1, -5, 3, 0, 11, 2, 6],\n [-12, 9, -11, 5, 6, -5, -10, 10],\n [1, -4, -5, 4, 10, 10, 11, 3],\n [-3, 8, -3, 12, 12, 11, -7, 9],\n [4, 3, 2, 9, 1, -9, -9, -11],\n [-2, -9, 8, 8, 3, 8, -9, -12],\n [11, 6, -11, -4, 10, 12, 0, 5],\n [3, 3, 12, -3, -4, -2, 12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1904168150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-3, -10, -7, -10, -4, -10, 5, -5],\n [9, -5, 2, 0, -6, 6, -5, -3],\n [4, -12, 0, 0, 11, 3, -4, -3],\n [-7, -8, -11, -2, -4, -7, -5, -4],\n [-4, -5, -1, -5, -10, 0, 6, -11],\n [4, 3, -9, 5, 1, -11, 0, 8],\n [7, 4, 2, 12, 7, -8, -6, 5],\n [11, -2, 5, -8, 0, 5, -11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1265628624", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-9, 0, 11, 3, -7, -5, 3, 0],\n [10, -9, -11, -4, 5, 4, -5, 2],\n [-4, 4, 10, -11, -7, -8, 4, -11],\n [5, -3, -3, -7, -1, 4, 0, 7],\n [3, -3, 8, -11, -11, 10, -6, -7],\n [-12, -1, 0, -1, 6, -4, -3, 4],\n [5, -5, -6, -4, -3, -1, 2, 2],\n [-9, -9, 10, -12, -1, 12, -11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1731399", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the 5th power of the matrix:\n[[4, -8, 2, -1, 2, 0, -2, 3],\n [-8, -8, -2, -10, -2, -2, -4, -7],\n [2, -2, -8, -8, 4, 4, -2, -4],\n [-1, -10, -8, -9, 3, 2, 1, 6],\n [2, -2, 4, 3, 12, 2, 9, -6],\n [0, -2, 4, 2, 2, 8, 2, -2],\n [-2, -4, -2, 1, 9, 2, 0, 0],\n [3, -7, -4, 6, -6, -2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205468", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[8, 0, 0, -3, 1, 3, 6, -2],\n [0, -2, -2, -4, -3, -3, -8, 8],\n [0, -2, 7, -5, -3, 4, 6, -2],\n [-3, -4, -5, 1, 6, -2, 2, -2],\n [1, -3, -3, 6, -9, 4, -11, 1],\n [3, -3, 4, -2, 4, 11, -11, -1],\n [6, -8, 6, 2, -11, -11, 1, -1],\n [-2, 8, -2, -2, 1, -1, -1, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3516751", "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[[-1, 1, 6, 9, 6, -4, -6, 1],\n [-8, 5, -4, 8, -6, -4, -9, 12],\n [4, -1, -7, 5, -5, 8, 2, -10],\n [-11, 11, 10, -4, -5, -9, -11, 1],\n [-11, -11, 9, -6, -1, -7, 5, -9],\n [6, 0, 7, 8, 10, 12, -11, -5],\n [6, -4, -9, 3, 6, -3, -7, 3],\n [-3, 0, -4, -6, -9, 6, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35620200245", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 8) of the matrix A^6 where A is:\n[[6, -4, -3, 0, -2, 0, 4, 4],\n [-4, -8, 4, 8, 0, 2, 2, 4],\n [-3, 4, 12, -4, -2, 6, -2, 8],\n [0, 8, -4, 7, -10, 0, 11, -9],\n [-2, 0, -2, -10, 11, 1, 6, 4],\n [0, 2, 6, 0, 1, -8, 0, 6],\n [4, 2, -2, 11, 6, 0, 9, 1],\n [4, 4, 8, -9, 4, 6, 1, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-199454503", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[7, -4, 0, 0, 3, -3, 4, 5],\n [-4, 3, 8, 2, -4, -7, -2, 0],\n [0, 8, 11, -4, 6, -2, 0, -4],\n [0, 2, -4, -12, 0, -1, -8, -1],\n [3, -4, 6, 0, -1, -8, -3, 5],\n [-3, -7, -2, -1, -8, -2, -8, 0],\n [4, -2, 0, -8, -3, -8, 12, -8],\n [5, 0, -4, -1, 5, 0, -8, -11]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58017", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 8) of the matrix A^6 where A is:\n[[-10, -4, 3, 11, 0, 6, 5, 8],\n [-1, -1, -12, 7, -5, 4, 8, 7],\n [9, -6, -4, 4, -3, -9, 9, -6],\n [-6, -5, 11, 11, -5, 3, -1, 2],\n [-5, 9, -4, -10, 9, 8, 3, 2],\n [11, -9, 7, 3, -3, -2, -8, -2],\n [0, 2, -7, 3, 2, -2, 7, -11],\n [-11, -1, 3, 6, -11, 4, 1, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15878150", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the 7th power of the matrix:\n[[3, -8, -2, 7, -2, 2, 1, 11],\n [-8, 11, -3, 3, -6, -2, -1, 6],\n [-2, -3, 1, -6, -1, -4, 2, -4],\n [7, 3, -6, -5, 6, 4, -3, -6],\n [-2, -6, -1, 6, 5, -6, 0, 2],\n [2, -2, -4, 4, -6, -2, 4, 0],\n [1, -1, 2, -3, 0, 4, 10, 0],\n [11, 6, -4, -6, 2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111340", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[2, 1, 1, -3, -11, -7, 4, -8],\n [-8, 2, 2, 7, -2, -8, -12, -2],\n [-2, -7, 10, -5, -11, 2, 10, 9],\n [-4, 2, -5, 3, 1, 2, 7, 0],\n [-4, -12, -7, -5, 7, 5, 5, 4],\n [8, 3, 0, 9, -9, -9, 8, 1],\n [-8, 3, 1, 1, 1, 12, 11, 12],\n [1, 6, -10, 4, 1, -3, 0, 9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166295263", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, 4, 4, -4, 0, -8, -4, -10],\n [4, -8, 0, -3, 0, -8, -4, -1],\n [4, 0, 0, 2, 0, 4, -10, 0],\n [-4, -3, 2, -12, -4, 8, -2, -2],\n [0, 0, 0, -4, 2, 0, 2, 4],\n [-8, -8, 4, 8, 0, -3, -4, -10],\n [-4, -4, -10, -2, 2, -4, 0, 1],\n [-10, -1, 0, -2, 4, -10, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14120966823", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[0, -3, -1, 8, 8, 4, -4, -6],\n [-3, -7, -4, 8, 6, -3, 2, -2],\n [-1, -4, -12, 0, 6, 0, -6, -4],\n [8, 8, 0, -1, 6, -2, 6, -10],\n [8, 6, 6, 6, 5, 0, 8, -5],\n [4, -3, 0, -2, 0, 12, 3, 6],\n [-4, 2, -6, 6, 8, 3, -2, 0],\n [-6, -2, -4, -10, -5, 6, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10933277", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, 0, -4, 0, 6, 2, 4, 0],\n [0, -4, -10, 2, 10, -2, 8, 0],\n [-4, -10, 9, 7, 2, -3, 11, 2],\n [0, 2, 7, -12, -6, 2, 2, 11],\n [6, 10, 2, -6, -1, -9, -2, 0],\n [2, -2, -3, 2, -9, -5, 0, -4],\n [4, 8, 11, 2, -2, 0, 10, 2],\n [0, 0, 2, 11, 0, -4, 2, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6593394031", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-5, -10, -11, -9, 6, -2, -8, 11],\n [-3, 11, 10, -5, 0, -8, -1, 0],\n [9, -5, 2, 0, -12, 9, -7, -2],\n [0, 8, 7, -12, -2, -2, -5, 9],\n [-10, 6, -1, -7, 10, -5, -8, -3],\n [9, 3, -1, 4, -7, -4, -3, 7],\n [1, 1, 4, 12, 3, -9, -11, 3],\n [-12, -10, 10, -2, 3, 5, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49124673", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-1, 5, -8, 11, -5, -10, -11, 12],\n [6, -5, -11, 6, -12, 9, 0, 10],\n [7, 4, -10, -4, -8, -7, -9, 4],\n [8, 8, 8, 3, 3, 9, -2, -11],\n [4, 2, 5, -3, -7, 8, 3, -8],\n [-1, -7, 1, 10, 3, 12, -6, -11],\n [-7, -4, -6, -11, 6, -5, -2, 12],\n [-9, 3, 12, 5, 0, -8, -11, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141899851", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, 2, 0, 8, -2, -4, 0, -2],\n [2, -6, 1, 0, 5, -5, 1, -8],\n [0, 1, -12, 4, 2, 0, 1, 7],\n [8, 0, 4, 10, -7, -4, 2, 12],\n [-2, 5, 2, -7, -3, -10, 6, 7],\n [-4, -5, 0, -4, -10, 9, -4, -3],\n [0, 1, 1, 2, 6, -4, -12, -4],\n [-2, -8, 7, 12, 7, -3, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120484828", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[10, 0, 1, 2, 2, 1, -4, -3],\n [0, 0, -10, 8, 2, 4, 6, -8],\n [1, -10, -9, -9, 2, 4, -1, -6],\n [2, 8, -9, 5, 11, -8, -7, 4],\n [2, 2, 2, 11, -1, -8, 0, 7],\n [1, 4, 4, -8, -8, -4, 4, -2],\n [-4, 6, -1, -7, 0, 4, -11, -1],\n [-3, -8, -6, 4, 7, -2, -1, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5664603", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the 7th power of the matrix:\n[[1, 4, -10, -12, -3, -10, -8, 12],\n [6, -3, 12, 3, -12, -7, -4, -8],\n [1, -3, -11, -8, -12, 12, -3, 12],\n [9, -4, -10, 2, -9, 0, -7, 7],\n [4, 10, -8, 2, -5, 12, -8, 11],\n [0, -12, -12, -6, 9, -8, 1, 2],\n [8, 12, 4, 11, 5, -6, 9, 5],\n [6, 7, -6, -5, 0, 5, 11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-793957720", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-4, 10, -12, 9, -5, 8, -1, -11],\n [2, 8, 11, 5, 4, 2, 7, 7],\n [-4, -10, 7, 6, 5, 7, -5, -12],\n [11, 11, 2, 6, -3, -1, -7, 0],\n [-9, 0, 4, -12, -8, 11, 4, 5],\n [-6, 3, -5, -1, 1, 6, -2, -1],\n [0, -5, -12, -4, -11, 1, 0, 3],\n [-11, -9, -1, 3, -3, -10, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757667032", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (1, 2) of the result:\nA =\n[[10, 0, 7, -11, 4, -1, 5, 5],\n [0, -2, 7, -6, 1, 0, -6, 8],\n [7, 7, 0, 6, -4, 4, -9, -10],\n [-11, -6, 6, -10, -7, 3, 1, -10],\n [4, 1, -4, -7, 12, 6, 6, -8],\n [-1, 0, 4, 3, 6, 4, 2, -4],\n [5, -6, -9, 1, 6, 2, 3, -1],\n [5, 8, -10, -10, -8, -4, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31719621", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-8, -1, -3, -9, 4, 9, -2, 6],\n [-1, 11, 3, 4, 5, 4, -2, 6],\n [-3, 3, -9, 2, 0, -1, 6, 9],\n [-9, 4, 2, 4, 6, 7, 0, -2],\n [4, 5, 0, 6, -11, 8, -3, 4],\n [9, 4, -1, 7, 8, -8, 4, 2],\n [-2, -2, 6, 0, -3, 4, -1, 7],\n [6, 6, 9, -2, 4, 2, 7, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43597698", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[7, -9, -2, -5, -7, 12, -3, -6],\n [-6, -9, -10, 11, -6, -9, 0, 7],\n [4, -6, 4, -9, -2, -10, -2, -10],\n [-1, -12, -9, 1, -12, 1, 0, 0],\n [11, 2, 4, -1, 9, 10, 1, -1],\n [5, -9, 1, 6, 0, 12, 10, 5],\n [-2, -7, -4, -1, 6, 1, 2, -2],\n [-7, 1, -10, 6, 7, 12, -2, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238157458", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[4, 4, 10, -10, 1, -6, 12, 6],\n [-10, -11, 4, -4, 9, -7, 11, 8],\n [-4, -8, -11, 9, 2, -4, 6, -3],\n [-9, -3, -5, 9, 0, -6, -6, -9],\n [2, -1, 3, -7, -4, -10, -5, -6],\n [-9, 0, 6, -6, -3, 12, -1, -10],\n [12, 11, -1, 6, 2, -5, -1, 7],\n [-7, -3, -11, 11, 0, 12, -6, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1153214", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[10, 0, -2, -6, -4, 4, 4, -1],\n [0, -6, -3, 8, 0, 6, 2, -4],\n [-2, -3, -12, -8, 4, 2, 6, -4],\n [-6, 8, -8, 4, 1, 2, -3, -1],\n [-4, 0, 4, 1, -11, -6, 6, 4],\n [4, 6, 2, 2, -6, -10, 8, 8],\n [4, 2, 6, -3, 6, 8, 3, 2],\n [-1, -4, -4, -1, 4, 8, 2, 9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1332067", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^7 where A is:\n[[12, 9, 5, 3, -11, 2, 0, 0],\n [3, -5, -2, -5, 9, -3, 10, -12],\n [-1, -4, -8, -4, 3, 5, -5, 10],\n [-2, 7, 6, -9, 7, -3, 11, 0],\n [7, 1, 8, -11, -9, -6, 6, 4],\n [3, 0, 11, 11, 9, 10, 5, 8],\n [-1, 10, 12, -12, 2, -10, -7, 1],\n [10, -7, -12, 7, -7, -5, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-660841634", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[3, 9, 6, -1, 7, 10, -7, -6],\n [9, -3, 4, 8, -2, -4, 6, -1],\n [6, 4, 5, -9, -1, 10, -5, -1],\n [-1, 8, -9, -10, -5, 6, -4, -2],\n [7, -2, -1, -5, 4, -4, -8, -5],\n [10, -4, 10, 6, -4, 8, 5, -2],\n [-7, 6, -5, -4, -8, 5, -11, 6],\n [-6, -1, -1, -2, -5, -2, 6, 10]], determine the value at position (6, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4806235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 6) of the result:\nA =\n[[-5, -6, -8, 2, -3, 11, 3, -4],\n [-6, -2, -4, 4, -4, -10, 9, -5],\n [6, 7, 3, -6, -6, 7, 12, 0],\n [-10, -1, 11, -5, 0, 7, 3, -6],\n [-9, -1, 4, -12, 4, -11, -7, -1],\n [-2, 8, -2, 5, -5, 12, -6, 1],\n [3, -1, -4, 7, 10, 8, 3, 8],\n [6, 3, -4, 0, -8, 9, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97926201", "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, -4, 12, 1, 2, 0, -3, 1],\n [8, 10, -1, 6, -7, -1, 11, 0],\n [-5, 3, -11, 9, -6, -1, -6, 6],\n [1, -4, 5, -2, 3, 6, -2, 5],\n [-2, 12, -9, 5, 6, 0, -9, -3],\n [9, -8, -10, 3, -5, 11, -6, 6],\n [1, 2, 4, 8, -12, -7, 10, 2],\n [-1, 8, 7, -11, -8, -4, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "952028787", "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, 8, 4, -6, -8, -5, 6, -2],\n [8, -8, 8, 4, -2, -5, 5, -4],\n [4, 8, -10, 0, 0, 2, -4, 0],\n [-6, 4, 0, 2, 0, -5, 0, 5],\n [-8, -2, 0, 0, 10, 1, -6, -6],\n [-5, -5, 2, -5, 1, 1, -10, -1],\n [6, 5, -4, 0, -6, -10, 6, 0],\n [-2, -4, 0, 5, -6, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2159907039", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, 0, 6, -2, -2, -7, 5, 4],\n [0, -12, -5, -8, 2, 7, 1, -7],\n [6, -5, 4, 2, 1, -2, 6, 2],\n [-2, -8, 2, -12, 4, 0, 1, -4],\n [-2, 2, 1, 4, -8, 2, 4, -2],\n [-7, 7, -2, 0, 2, -10, -3, -1],\n [5, 1, 6, 1, 4, -3, 4, 0],\n [4, -7, 2, -4, -2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55293748", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 3) of the result:\nA =\n[[-8, -4, 0, -8, 2, -6, 1, 3],\n [-7, -11, 3, 6, -8, -9, 1, -7],\n [-5, 11, -10, -9, -12, -11, 0, -4],\n [-1, -3, -3, 5, -1, 9, 3, 10],\n [-7, 11, 12, 11, 8, 11, -3, 2],\n [-4, 11, -11, 5, -1, -10, -6, -4],\n [-5, 12, -7, -12, 1, 3, 3, -9],\n [-7, 2, 9, -5, -12, 0, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85880896", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[0, 0, 6, -6, -6, 4, 2, 6],\n [0, 4, -2, 2, -6, 11, -3, 2],\n [6, -2, -2, -2, -8, -5, 4, -1],\n [-6, 2, -2, 7, 6, 9, -12, 3],\n [-6, -6, -8, 6, 12, -2, -2, 4],\n [4, 11, -5, 9, -2, 11, 5, -8],\n [2, -3, 4, -12, -2, 5, 7, 0],\n [6, 2, -1, 3, 4, -8, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96369360864", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[6, -4, -2, -2, -4, 2, -2, 10],\n [-4, -4, -4, 3, 10, 7, -4, 4],\n [-2, -4, 0, 2, 2, 4, 1, -3],\n [-2, 3, 2, 8, -2, 1, 3, -2],\n [-4, 10, 2, -2, -8, 2, -1, -4],\n [2, 7, 4, 1, 2, 10, 3, -3],\n [-2, -4, 1, 3, -1, 3, -1, 4],\n [10, 4, -3, -2, -4, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13185815448", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 1) of the matrix A^5 where A is:\n[[10, -7, -3, -3, 3, -12, 3, -9],\n [-7, 6, -11, 5, -3, -9, -12, 2],\n [-3, 5, 3, 0, 2, -11, 7, -9],\n [-12, -6, 10, -2, -3, -12, -2, 11],\n [-3, 1, 1, -6, 10, -2, 9, -9],\n [11, -11, -6, 6, 1, 6, -6, -1],\n [-10, 2, -8, -5, 1, -9, -6, -6],\n [5, 1, -5, -1, -3, 1, -4, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267277", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-8, -12, -12, 12, 7, 4, -2, -1],\n [-10, -7, -2, 0, -2, -5, -3, -11],\n [11, 1, 3, 4, -2, -11, 11, 10],\n [-8, 3, 3, -11, 3, 12, -8, -5],\n [7, 1, 12, -3, 10, -11, -10, 5],\n [8, -11, 8, -4, -11, 12, -6, -6],\n [1, -8, -5, 10, 9, 5, -7, 1],\n [5, 4, -4, 0, 3, 8, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4064100", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 8) of the matrix A^6 where A is:\n[[-9, -3, -2, 2, 1, 8, 9, 4],\n [-3, -5, -2, 0, 0, -1, -2, -6],\n [-2, -2, -7, 8, 6, -8, 11, 3],\n [2, 0, 8, 9, 4, 5, -10, -1],\n [1, 0, 6, 4, 3, -2, -4, -6],\n [8, -1, -8, 5, -2, -3, 0, -2],\n [9, -2, 11, -10, -4, 0, -9, 6],\n [4, -6, 3, -1, -6, -2, 6, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2592931", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-10, -11, -12, -1, 9, 0, -3, 4],\n [-2, -8, 12, -4, 0, 7, 10, -2],\n [10, -9, 8, -2, -4, -6, 3, 10],\n [10, 12, -8, -7, 6, -12, 3, 5],\n [11, 0, -12, -3, -6, -8, 0, 9],\n [3, 11, 7, 9, 1, -2, 6, 10],\n [-11, -5, 0, -6, -1, -5, 3, 5],\n [6, -9, 12, -1, 3, 8, 9, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339792678", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (6, 5) of the result:\nA =\n[[-9, 6, 6, 6, -2, 4, 1, -2],\n [6, 4, -2, -4, 8, 11, 2, -10],\n [6, -2, -2, -4, -6, 4, -9, 3],\n [6, -4, -4, 7, -2, 4, -2, -1],\n [-2, 8, -6, -2, -8, -1, -3, 2],\n [4, 11, 4, 4, -1, -4, -2, 6],\n [1, 2, -9, -2, -3, -2, -6, 2],\n [-2, -10, 3, -1, 2, 6, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1324624", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[5, 0, -3, 7, 8, 2, -8, -3],\n [0, 10, 0, 8, 5, 12, 0, -7],\n [-3, 0, 7, 10, -4, -1, 6, -1],\n [7, 8, 10, 8, -5, -10, 4, -2],\n [8, 5, -4, -5, -10, 6, -6, -5],\n [2, 12, -1, -10, 6, 3, -1, -7],\n [-8, 0, 6, 4, -6, -1, 9, -3],\n [-3, -7, -1, -2, -5, -7, -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": "3731601459", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-9, -6, 6, 9, 1, 4, 5, -9],\n [-6, 5, 8, -10, 2, -4, -2, 6],\n [6, 8, 12, -3, 4, 10, 8, 2],\n [9, -10, -3, -5, 6, 0, -3, 6],\n [1, 2, 4, 6, -2, 0, 2, 5],\n [4, -4, 10, 0, 0, 5, 8, -1],\n [5, -2, 8, -3, 2, 8, 10, -5],\n [-9, 6, 2, 6, 5, -1, -5, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2229189944", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-8, 1, -6, 3, -4, -2, 12, -10],\n [1, 8, 4, -6, 0, -2, 5, 4],\n [-6, 4, 1, 0, -2, 0, 10, 0],\n [3, -6, 0, -8, 0, -4, 10, -7],\n [-4, 0, -2, 0, 7, -6, 1, 0],\n [-2, -2, 0, -4, -6, -8, 4, -8],\n [12, 5, 10, 10, 1, 4, -2, 1],\n [-10, 4, 0, -7, 0, -8, 1, -6]], determine the value at position (5, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6620228", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) of the matrix A^6 where A is:\n[[-5, -12, 12, -12, -10, -5, -2, -12],\n [1, -12, -7, 8, -7, -10, -3, -1],\n [-3, 9, -11, 11, 9, 0, 3, 0],\n [-9, -9, -2, 10, 1, -10, 6, 9],\n [12, -12, -8, 4, -12, 6, 6, -9],\n [6, -7, 2, -9, 11, -12, 11, 4],\n [-2, 4, 10, -12, -4, 1, 2, 11],\n [-12, -11, 5, 5, -7, 7, -5, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70659314", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[2, -3, -9, -3, -2, -8, -4, -8],\n [-2, -10, -9, -3, -6, -12, -7, -5],\n [4, 11, -6, -12, -4, -2, 6, -11],\n [10, -2, -10, 4, -3, -10, 9, -10],\n [8, 12, -6, -11, -12, -6, 7, -2],\n [10, -7, 10, -9, 6, 8, 6, 1],\n [-10, -9, -5, 5, -9, -2, 3, -10],\n [-6, -11, -12, -12, -7, 6, -6, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163463747", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-8, 6, 4, 11, 6, -10, -6, -5],\n [6, -12, -6, 0, -1, 0, 0, 4],\n [4, -6, 10, 0, 2, 0, 0, -4],\n [11, 0, 0, -4, 0, -1, 10, -6],\n [6, -1, 2, 0, 5, -7, 7, -4],\n [-10, 0, 0, -1, -7, 5, 6, 11],\n [-6, 0, 0, 10, 7, 6, -1, -9],\n [-5, 4, -4, -6, -4, 11, -9, 10]], determine the value at position (7, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23139864", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, -8, -1, 5, -10, -4, -6, -6],\n [-8, 9, -1, 0, -6, -3, 0, -11],\n [-1, -1, -8, -5, -6, 4, 2, 4],\n [5, 0, -5, -2, -8, 1, 6, 4],\n [-10, -6, -6, -8, -6, -12, -2, 7],\n [-4, -3, 4, 1, -12, -5, 2, -1],\n [-6, 0, 2, 6, -2, 2, 1, 5],\n [-6, -11, 4, 4, 7, -1, 5, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1492872849", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-5, 2, 3, -4, 0, -7, 8, 2],\n [2, -4, 2, -4, 5, 6, 1, -2],\n [3, 2, -12, 2, -6, 11, 6, 8],\n [-4, -4, 2, 3, -2, -4, -2, -8],\n [0, 5, -6, -2, -9, -2, 4, 6],\n [-7, 6, 11, -4, -2, 11, 2, -5],\n [8, 1, 6, -2, 4, 2, -9, 8],\n [2, -2, 8, -8, 6, -5, 8, -11]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4413274", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 7th power of the matrix:\n[[3, 2, 8, -8, 0, -4, 2, 0],\n [2, 2, 10, 6, 1, 7, 1, 0],\n [8, 10, -5, 2, -5, 8, -5, 0],\n [-8, 6, 2, -4, 4, 2, 0, -2],\n [0, 1, -5, 4, 7, -6, 8, 9],\n [-4, 7, 8, 2, -6, -3, 3, -6],\n [2, 1, -5, 0, 8, 3, 7, 4],\n [0, 0, 0, -2, 9, -6, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "364186002", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[8, 4, 6, -6, 5, -2, -4, -2],\n [4, -4, -9, 4, -4, -10, 0, 6],\n [6, -9, -7, 0, -2, -4, 4, -2],\n [-6, 4, 0, 3, 6, 0, 4, 8],\n [5, -4, -2, 6, 10, 2, -10, 3],\n [-2, -10, -4, 0, 2, -4, -6, -2],\n [-4, 0, 4, 4, -10, -6, 3, 2],\n [-2, 6, -2, 8, 3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9491855", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[7, -10, 9, 2, -2, 9, -11, 12],\n [11, -7, 4, 5, -9, 10, -4, -3],\n [8, -11, -2, -2, -2, -12, 1, -12],\n [8, 10, 12, -4, 11, -12, 8, 9],\n [9, -9, -12, 6, -3, 2, 7, -9],\n [7, 1, -8, 2, 2, 12, 3, 3],\n [-9, 12, -4, -12, -8, -4, 7, -8],\n [-9, 3, -11, 3, 5, -11, 3, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54365142068", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[3, -10, -2, 1, -7, -4, -5, 2],\n [-10, 6, 8, -10, 6, 2, 4, 10],\n [-2, 8, -9, -4, 4, -6, 0, 8],\n [1, -10, -4, -7, 10, -6, -6, 4],\n [-7, 6, 4, 10, -12, 6, -7, -6],\n [-4, 2, -6, -6, 6, 12, 10, -2],\n [-5, 4, 0, -6, -7, 10, -9, -4],\n [2, 10, 8, 4, -6, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6976917191", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[6, 3, 0, -4, -5, 1, -10, 4],\n [3, -3, 4, 12, -7, -6, -8, -2],\n [0, 4, -3, 0, -4, 2, 8, 0],\n [-4, 12, 0, -5, -4, 2, -2, 0],\n [-5, -7, -4, -4, 6, 2, 0, -4],\n [1, -6, 2, 2, 2, 2, -4, 4],\n [-10, -8, 8, -2, 0, -4, -9, -6],\n [4, -2, 0, 0, -4, 4, -6, -7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1382748957", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[4, -1, 9, -5, 3, -8, 8, -12],\n [4, 11, 8, -5, -3, 5, 2, 7],\n [0, -3, -4, 0, -10, 9, 10, -10],\n [-12, -11, -2, 1, -3, -6, 10, -12],\n [-6, 2, -2, -7, 9, -6, -6, -12],\n [-3, 8, 2, -5, 11, 6, -10, 10],\n [2, -9, -7, 12, -3, 5, 3, 5],\n [-7, 6, 4, 5, 0, -6, 7, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "414587687", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (5, 4) of the result:\nA =\n[[-11, 0, 4, 7, -8, -6, -4, 0],\n [0, 4, 0, 1, 0, 8, -4, -6],\n [4, 0, -5, 2, 2, -4, 0, 9],\n [7, 1, 2, 7, 2, 6, 2, -3],\n [-8, 0, 2, 2, -4, -7, 7, -11],\n [-6, 8, -4, 6, -7, -5, 0, 2],\n [-4, -4, 0, 2, 7, 0, -5, 11],\n [0, -6, 9, -3, -11, 2, 11, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18729026", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[10, 12, 2, 0, 3, 10, 5, -12],\n [4, 3, 10, -8, 7, 8, -3, -7],\n [-1, -3, 9, 4, -11, 6, 7, -7],\n [0, -4, -1, 5, -5, 12, 5, 12],\n [10, 12, 9, -11, -5, -3, -4, 11],\n [5, -5, 6, -10, -4, 0, -4, 12],\n [7, -1, 10, 0, -5, 2, 0, 8],\n [0, 4, 2, 12, 9, 6, -10, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "576475535", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 0, -4, 4, 4, 3, 3, -5],\n [0, 9, 5, 1, 8, 8, 10, -2],\n [-4, 5, -2, 4, -3, 2, -6, 2],\n [4, 1, 4, -2, -7, -6, -4, 0],\n [4, 8, -3, -7, 4, -4, -2, 7],\n [3, 8, 2, -6, -4, -6, 4, 0],\n [3, 10, -6, -4, -2, 4, 3, -4],\n [-5, -2, 2, 0, 7, 0, -4, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5695307096", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[1, 5, 6, 0, -1, -11, -6, -4],\n [5, -11, 2, 2, -6, 11, -5, -3],\n [6, 2, -12, -4, -6, 4, -6, 0],\n [0, 2, -4, -1, 6, -4, -4, -5],\n [-1, -6, -6, 6, 9, -3, -7, -2],\n [-11, 11, 4, -4, -3, 10, 6, -4],\n [-6, -5, -6, -4, -7, 6, -12, -2],\n [-4, -3, 0, -5, -2, -4, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61134687248", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-12, -10, -2, 0, 2, 6, 2, -8],\n [-10, 8, -11, 8, -10, 4, 2, 8],\n [-2, -11, -10, 2, 9, 6, 5, 0],\n [0, 8, 2, -2, -2, 4, 0, -6],\n [2, -10, 9, -2, 6, 4, 8, -5],\n [6, 4, 6, 4, 4, 5, 2, 2],\n [2, 2, 5, 0, 8, 2, -7, -5],\n [-8, 8, 0, -6, -5, 2, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131742274385", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-3, 6, 12, -9, -3, 5, -10, 8],\n [-10, -8, 3, 7, 0, -2, 0, 6],\n [-7, 11, 0, -9, 12, 9, -8, 6],\n [-8, 8, 1, -9, -1, -7, 6, -3],\n [-12, 10, 10, 3, -9, -4, 5, 4],\n [2, 6, -6, 12, 5, -7, 6, 8],\n [-1, 12, -10, -12, -8, -12, -5, -6],\n [2, -2, 5, 1, -4, -8, 10, -9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6031099", "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[[-1, -12, 11, 0, -12, -10, 9, -5],\n [11, 5, 12, 3, 7, 7, 3, -11],\n [4, -3, -6, -3, 6, 7, -4, 9],\n [4, -4, -4, -8, 11, -6, -2, -5],\n [12, 1, -11, -3, 8, 11, 3, 3],\n [6, -2, -7, -7, -6, 3, 0, -10],\n [11, 11, -4, 11, -10, -7, 12, 4],\n [-10, -11, -1, 11, -7, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11853585499", "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, 8, 8, 0, 10, 0, -4, 2],\n [8, -11, 0, -2, -1, 4, 0, -10],\n [8, 0, -7, 1, 8, 2, 0, -4],\n [0, -2, 1, 2, 6, 4, -1, 0],\n [10, -1, 8, 6, -11, 10, 4, -1],\n [0, 4, 2, 4, 10, 12, -4, -4],\n [-4, 0, 0, -1, 4, -4, 2, 6],\n [2, -10, -4, 0, -1, -4, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54615110485", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, 2, 5, -2, 2, 5, 7, -10],\n [2, 1, -4, -9, -4, 2, -2, 4],\n [5, -4, 7, -6, -4, 8, -1, 10],\n [-2, -9, -6, 12, 4, -6, 4, 6],\n [2, -4, -4, 4, -9, 4, 2, 2],\n [5, 2, 8, -6, 4, 4, 1, -2],\n [7, -2, -1, 4, 2, 1, 1, 2],\n [-10, 4, 10, 6, 2, -2, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212397231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 0, -4, -7, 4, -6, 9, -4],\n [0, 5, 0, -4, -4, -2, 2, 6],\n [-4, 0, -6, 12, -2, -10, 2, 7],\n [-7, -4, 12, 7, 10, 0, 2, -12],\n [4, -4, -2, 10, 4, -2, 0, 9],\n [-6, -2, -10, 0, -2, -1, 2, 8],\n [9, 2, 2, 2, 0, 2, 2, 6],\n [-4, 6, 7, -12, 9, 8, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1103548910", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-12, -3, 6, 3, 1, 12, -11, 11],\n [-7, 9, 10, -8, -1, -9, 9, 11],\n [-9, -8, -6, -7, 0, -9, 0, -9],\n [-3, 7, -12, 8, -5, -6, -8, -10],\n [2, 4, 10, 0, 2, 6, 7, 1],\n [8, 0, -1, 11, 10, -4, -10, -2],\n [-3, -12, 4, 0, 1, -12, -11, -11],\n [-6, -4, 11, -9, -11, 6, -8, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5717624", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 8) of the 6th power of the matrix:\n[[11, 0, -1, 6, -4, -3, 6, -3],\n [-1, 1, -5, 3, 4, 7, -9, -7],\n [-1, 5, -6, -8, -3, -7, 1, -7],\n [1, -1, 9, -1, -5, -3, 3, 7],\n [-5, -4, 0, 7, 4, 6, 4, -6],\n [-12, 7, 1, 4, 0, -11, 1, -12],\n [-8, -6, 6, 1, 11, 1, 2, -8],\n [-8, 8, 11, -11, 5, 11, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17107181", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[5, -9, -5, 5, 7, 4, 3, 5],\n [-6, -12, -12, 5, -9, 10, 7, 8],\n [7, -9, 12, -7, -10, -7, 0, 10],\n [-6, 11, -9, -12, -7, 11, -8, 0],\n [6, -9, 11, -7, 0, -8, 0, 12],\n [-3, -10, 10, 12, 0, -1, -9, -3],\n [-10, 4, -4, -12, 5, -4, 8, 7],\n [12, -4, -11, 6, 3, -10, 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": "97485666", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[0, -8, 0, 2, 1, -9, -4, 6],\n [-8, -7, 4, -6, -5, 6, -4, 4],\n [0, 4, 8, -10, 10, 0, 8, 1],\n [2, -6, -10, 5, 6, -6, 0, -1],\n [1, -5, 10, 6, -8, 1, 1, -4],\n [-9, 6, 0, -6, 1, 7, -1, -7],\n [-4, -4, 8, 0, 1, -1, -7, -2],\n [6, 4, 1, -1, -4, -7, -2, -8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37784279060", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[10, 4, 4, 0, 9, -6, 9, 8],\n [-7, 1, 3, -10, -4, 2, 8, 5],\n [-3, -3, 10, -10, -12, -10, 12, -8],\n [-6, -10, -9, 4, -10, 10, -9, -11],\n [1, -8, 8, -11, 2, -2, 9, -3],\n [7, -12, 6, 1, 12, 10, 9, 1],\n [-12, 12, -4, 4, 1, 0, 0, -7],\n [-6, -11, -5, 11, -7, 12, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68856638", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the 6th power of the matrix:\n[[5, 10, 0, -7, -5, 0, -4, -2],\n [10, 9, -4, 4, 8, -8, -1, 5],\n [0, -4, 4, -8, -2, -2, -9, 4],\n [-7, 4, -8, -11, 0, -2, -10, -6],\n [-5, 8, -2, 0, 2, 0, 2, 1],\n [0, -8, -2, -2, 0, 12, 6, 1],\n [-4, -1, -9, -10, 2, 6, 12, -3],\n [-2, 5, 4, -6, 1, 1, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28590762", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 6th power of the matrix:\n[[-4, 12, -11, -10, -11, -7, 10, -1],\n [9, 6, 2, 6, -1, 5, 3, -11],\n [-2, -1, -8, 11, -7, 12, -2, 8],\n [-3, -9, -4, -1, -3, 1, -8, -12],\n [-8, 3, -8, -8, 5, -7, 8, 5],\n [-3, 2, 11, 9, -2, 6, 12, 0],\n [7, -10, 3, -6, -1, 2, -5, 10],\n [4, -12, 8, -5, 1, -3, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59099470", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[6, -9, 4, 0, 0, -6, 2, 4],\n [-9, 12, 5, 1, -2, 2, -4, 11],\n [4, 5, 12, 6, 2, -8, 6, 4],\n [0, 1, 6, -4, 8, -8, 4, -1],\n [0, -2, 2, 8, 4, 11, -5, -5],\n [-6, 2, -8, -8, 11, -12, 2, -7],\n [2, -4, 6, 4, -5, 2, -5, -1],\n [4, 11, 4, -1, -5, -7, -1, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20509229", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) of the matrix A^6 where A is:\n[[9, 5, -8, 5, -1, -9, 2, -2],\n [6, -8, -7, 0, 10, -3, 11, 12],\n [1, -9, 7, 10, -1, 2, -3, -2],\n [-4, -2, -11, 0, 9, -5, 8, 8],\n [-5, -12, -7, 0, -4, -7, 2, 10],\n [3, -9, 4, -4, -1, 9, 6, 7],\n [-1, 9, -7, -1, -4, 7, -8, 8],\n [-10, -11, -5, -3, 2, -4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4153929", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^7 where A is:\n[[-4, 1, -8, -4, -9, -11, 6, -12],\n [8, -12, -1, -2, -12, 1, -2, -6],\n [-11, 2, -5, 9, 7, 12, 2, -5],\n [-3, 6, -10, 7, 1, -4, -4, 8],\n [12, -7, -5, -2, -5, -1, -3, 10],\n [-9, 3, 7, -7, -4, 10, -8, 8],\n [11, -7, 4, 4, 12, 11, 9, 0],\n [4, 1, -11, 6, -10, -11, -11, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182580036", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 7th power of the matrix:\n[[-6, -9, 4, -7, -6, 7, -7, -4],\n [7, -9, -8, 6, -3, 5, 2, 12],\n [-12, -8, -8, -5, 9, 9, 9, 7],\n [2, 4, 6, 0, 9, 8, -3, 4],\n [-8, 5, 4, -9, 9, -6, 12, -8],\n [-5, -5, -2, -4, 6, 6, -4, 10],\n [7, 4, 3, -6, 9, -10, 8, 6],\n [-5, -8, -7, -11, 11, 12, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67576487", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-7, -3, -10, 4, -8, 0, -4, 2],\n [-3, 0, -6, -4, -1, -6, 9, 10],\n [-10, -6, -11, -4, -4, 2, 0, -10],\n [4, -4, -4, -4, -2, 0, -6, 7],\n [-8, -1, -4, -2, -9, -4, -11, 4],\n [0, -6, 2, 0, -4, 6, 8, 0],\n [-4, 9, 0, -6, -11, 8, 9, 4],\n [2, 10, -10, 7, 4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39287097814", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[3, 8, 11, 8, 6, 12, 5, 6],\n [-9, -12, -9, -9, -4, -5, -11, 10],\n [-7, 10, -2, -9, 1, 8, 9, -4],\n [-11, 12, -12, -9, -1, -8, -4, 9],\n [-9, 3, -11, 3, 3, 8, 11, 11],\n [9, -2, -12, 2, 11, -9, 5, 4],\n [-6, 5, 0, 7, 7, -3, -12, -11],\n [4, 9, -10, 4, -1, 11, -1, 7]], determine the value at position (5, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-419356", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-3, -6, -3, 5, 9, -7, -6, 4],\n [-1, 4, 5, 1, -2, -11, 8, -12],\n [-2, -11, 3, 9, -10, 7, -12, 8],\n [7, -5, 6, -12, -8, -12, -2, 8],\n [-4, -8, -11, 0, 5, 12, -1, 1],\n [-8, 11, -3, 7, -11, -9, -1, -2],\n [-9, -2, -4, -3, -7, 2, -3, 9],\n [8, -7, -12, 8, 9, 11, 7, 8]], determine the value at position (5, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26459851", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-9, 10, 9, 1, 7, 9, 7, -5],\n [-2, 2, 6, -5, 0, 5, 9, 11],\n [4, -7, 12, 2, 0, 5, -2, 0],\n [-12, 5, -8, -7, -12, -6, -9, -4],\n [2, -7, 12, 4, 7, 5, 9, -9],\n [-4, 1, -10, -12, -2, -12, -1, 12],\n [-4, -8, 2, 5, -4, 0, 0, 11],\n [0, -3, -3, 9, -6, 9, -8, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15309008516", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-6, 4, -7, 0, 2, 2, 2, 5],\n [4, -7, 8, -6, -2, -5, -6, -11],\n [-7, 8, 2, -1, -6, -2, -4, 0],\n [0, -6, -1, 11, -6, 3, -2, 8],\n [2, -2, -6, -6, -1, 2, 2, 2],\n [2, -5, -2, 3, 2, 6, -2, 2],\n [2, -6, -4, -2, 2, -2, 6, -8],\n [5, -11, 0, 8, 2, 2, -8, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1234883", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[6, -3, -3, 1, 8, 1, -3, -1],\n [-3, -9, 5, 4, 6, -2, 0, -6],\n [-3, 5, 12, -1, 2, -6, 5, 4],\n [1, 4, -1, 3, 2, 2, -8, 8],\n [8, 6, 2, 2, -9, 0, 0, -7],\n [1, -2, -6, 2, 0, -1, -10, 4],\n [-3, 0, 5, -8, 0, -10, 2, 6],\n [-1, -6, 4, 8, -7, 4, 6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "994205801", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[8, 0, -3, -5, 2, 6, 6, 2],\n [0, 3, 2, 6, 0, 6, -6, 2],\n [-3, 2, -10, 2, -3, -2, -1, -4],\n [-5, 6, 2, 5, 9, 4, -6, -2],\n [2, 0, -3, 9, 11, 2, 0, 3],\n [6, 6, -2, 4, 2, 3, -2, 0],\n [6, -6, -1, -6, 0, -2, 6, -6],\n [2, 2, -4, -2, 3, 0, -6, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6581546501", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-2, -2, -5, -4, -2, -5, 2, 0],\n [-2, -5, 5, -4, 2, -5, -3, -4],\n [-5, 5, -3, -8, -5, -8, 10, -2],\n [-4, -4, -8, -4, -4, 4, -2, 8],\n [-2, 2, -5, -4, 8, 2, 4, -2],\n [-5, -5, -8, 4, 2, -7, -3, -2],\n [2, -3, 10, -2, 4, -3, -9, 10],\n [0, -4, -2, 8, -2, -2, 10, 10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23845174582", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 6) of the 6th power of the matrix:\n[[-7, 9, -10, -10, 3, -3, 12, 4],\n [-6, 0, -2, -3, -6, 11, -7, 11],\n [-12, 4, 12, -1, -9, -10, -7, 3],\n [0, -4, -2, 7, 12, 8, 0, 10],\n [6, -10, -1, 6, -5, 1, 9, -4],\n [12, 11, 4, -7, -9, -9, 6, -1],\n [12, -11, 4, 2, -3, -10, 7, -9],\n [9, -12, -12, 5, -9, 10, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7272387", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[12, 10, 9, 2, -2, 0, 1, 11],\n [10, -1, 4, -2, -4, -10, 4, -2],\n [9, 4, 0, 4, 6, -11, 0, -7],\n [2, -2, 4, -9, 2, -4, -4, -10],\n [-2, -4, 6, 2, 1, 10, 1, 7],\n [0, -10, -11, -4, 10, 2, 6, -6],\n [1, 4, 0, -4, 1, 6, -1, -1],\n [11, -2, -7, -10, 7, -6, -1, -6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214425235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-12, -9, -2, 7, -6, 5, -9, 4],\n [-2, -2, 7, -2, 2, 1, 4, -11],\n [5, 3, -1, -3, 3, -10, -5, 9],\n [9, 12, 11, -11, 9, -12, 1, 12],\n [-9, -9, -4, -10, -8, -12, 9, 6],\n [-12, -3, 9, -1, -3, -11, 3, -5],\n [1, 2, 3, -2, -1, -11, -9, -10],\n [-4, 5, 6, -6, -9, -7, 6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23437229", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 4) of the 6th power of the matrix:\n[[3, -4, 4, -6, 2, 8, -8, 4],\n [-4, 12, -1, 0, 4, 0, 0, 4],\n [4, -1, 10, 3, -8, 2, -1, -2],\n [-6, 0, 3, 5, 4, -6, 8, -5],\n [2, 4, -8, 4, 9, 5, 5, -6],\n [8, 0, 2, -6, 5, -4, 2, 2],\n [-8, 0, -1, 8, 5, 2, 10, 1],\n [4, 4, -2, -5, -6, 2, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82989211", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the 7th power of the matrix:\n[[-4, 6, -10, -4, 9, -2, -9, -1],\n [6, -6, 2, 0, 3, -1, 4, -3],\n [-10, 2, 5, -2, -10, -2, -2, -8],\n [-4, 0, -2, -6, 7, 4, -6, 10],\n [9, 3, -10, 7, -2, -4, 8, 4],\n [-2, -1, -2, 4, -4, -7, 0, 2],\n [-9, 4, -2, -6, 8, 0, 11, 3],\n [-1, -3, -8, 10, 4, 2, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "469992797", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, -1, -2, 4, -3, -3, -4, -6],\n [-1, 3, -10, 0, 7, -5, 2, -2],\n [-2, -10, -8, 1, -2, 0, -2, 1],\n [4, 0, 1, -1, 0, -1, -2, -1],\n [-3, 7, -2, 0, -11, 1, -2, -1],\n [-3, -5, 0, -1, 1, 2, -6, 5],\n [-4, 2, -2, -2, -2, -6, -10, 4],\n [-6, -2, 1, -1, -1, 5, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3019803329", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-8, -4, 2, 4, -4, 9, 1, 3],\n [-4, -5, 4, -4, -10, -3, 1, 0],\n [2, 4, 12, -4, 8, -2, -8, 7],\n [4, -4, -4, -3, 2, 2, 1, -4],\n [-4, -10, 8, 2, 4, 2, 8, -6],\n [9, -3, -2, 2, 2, 3, 3, -2],\n [1, 1, -8, 1, 8, 3, 12, 0],\n [3, 0, 7, -4, -6, -2, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117159172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-2, 0, -2, 6, 2, -6, 6, 2],\n [0, -8, 0, 0, 0, 0, 1, -2],\n [-2, 0, -5, -2, -1, 8, 10, -2],\n [6, 0, -2, -2, 1, -1, -2, 4],\n [2, 0, -1, 1, -10, 4, 7, -4],\n [-6, 0, 8, -1, 4, 5, -4, -2],\n [6, 1, 10, -2, 7, -4, -3, 4],\n [2, -2, -2, 4, -4, -2, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20195737835", "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, 7, 11, -10, -7, -11, -10, 4],\n [-4, -9, 9, 10, -11, 11, -4, 1],\n [-2, -11, 8, -11, -8, -6, 9, -9],\n [1, -11, 10, -1, -3, 12, -12, 6],\n [10, 3, 2, 1, -4, 8, 10, 2],\n [-6, -9, 8, 5, -5, -1, 2, 2],\n [4, -11, -1, -10, -6, -7, 1, 10],\n [-8, -9, 2, -6, -10, 0, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24178503817", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, -1, 11, 9, -1, 6, 6, 8],\n [-10, -7, -11, 11, 0, -4, 0, 10],\n [1, 6, -2, 1, 3, -3, 7, 3],\n [-11, 12, 3, 1, 8, 5, -7, -6],\n [0, -11, 2, 4, 0, -6, -12, -10],\n [7, 5, -6, 8, 4, -1, 3, 11],\n [-3, 10, 3, 7, 5, 2, 10, -2],\n [5, -7, -12, 10, -6, -1, 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": "1427834448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-3, 4, -7, -6, 3, 4, 0, 4],\n [4, -10, 7, -2, -9, -6, -1, -2],\n [-7, 7, 3, 1, -7, -7, 10, 2],\n [-6, -2, 1, 4, 2, -8, 8, 1],\n [3, -9, -7, 2, 8, -5, -2, -3],\n [4, -6, -7, -8, -5, 12, -4, 4],\n [0, -1, 10, 8, -2, -4, -7, 4],\n [4, -2, 2, 1, -3, 4, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40673687", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[6, 0, -12, -6, 4, -2, -7, 6],\n [0, 5, -8, 0, 6, -8, 7, 8],\n [-12, -8, 0, 12, -1, 4, -7, 9],\n [-6, 0, 12, -1, 6, -6, 0, 6],\n [4, 6, -1, 6, 7, 4, -4, -1],\n [-2, -8, 4, -6, 4, -1, -6, 0],\n [-7, 7, -7, 0, -4, -6, -3, 0],\n [6, 8, 9, 6, -1, 0, 0, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79386266", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[0, 8, -6, 0, 2, 1, 0, -1],\n [8, 5, 0, 2, 1, 6, 2, 2],\n [-6, 0, 4, 1, 4, 4, -7, 0],\n [0, 2, 1, 3, 6, 2, 5, -10],\n [2, 1, 4, 6, 11, -6, 8, 2],\n [1, 6, 4, 2, -6, -10, 2, -1],\n [0, 2, -7, 5, 8, 2, -11, -1],\n [-1, 2, 0, -10, 2, -1, -1, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141531775", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) of the matrix A^7 where A is:\n[[-6, 12, 3, 2, -8, -12, 7, 9],\n [9, -4, 8, -8, 9, -7, -10, -7],\n [-5, -7, 3, 3, 8, -10, 4, 8],\n [-7, -7, 9, 6, 7, 2, 6, -11],\n [-5, -6, -5, 0, 9, 2, -1, 2],\n [1, -6, 4, -8, 7, -3, 6, 5],\n [12, 11, -3, -11, -7, -10, 6, -8],\n [-6, -6, -3, -12, -2, 10, -6, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106040063", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (8, 5) of the result:\nA =\n[[-7, 0, 3, 0, -11, 6, 6, 6],\n [5, 12, -7, -11, 6, -7, 7, 10],\n [9, 2, -7, -10, -2, -5, 12, 9],\n [5, 4, 6, 6, 11, 8, 4, -9],\n [-6, -8, 3, -7, 1, 7, -11, 12],\n [5, 5, 0, 5, 4, 0, -1, -10],\n [9, -6, -12, -8, 8, -12, -9, -12],\n [0, 1, 2, 4, -1, -6, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7610630", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[10, -10, 5, -9, -10, -1, 10, -1],\n [4, -7, 2, -11, -5, 1, -8, -10],\n [-3, -6, -2, 2, -11, -8, -2, -5],\n [0, -2, 4, 2, -12, 6, 3, 6],\n [0, 10, 9, 10, -9, -2, 5, 5],\n [-3, 4, 0, 12, 1, -6, -3, -10],\n [-11, 6, -6, -8, -10, 12, -11, 10],\n [9, -7, 1, -6, 9, -11, -2, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63904303", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-10, -6, -6, -6, 4, -10, 2, -6],\n [-6, -3, 1, 6, 6, 6, -2, 0],\n [-6, 1, 9, 4, 2, 8, -2, 0],\n [-6, 6, 4, -12, -2, -6, -6, 3],\n [4, 6, 2, -2, 12, 4, -4, 0],\n [-10, 6, 8, -6, 4, 7, 1, 8],\n [2, -2, -2, -6, -4, 1, -11, -4],\n [-6, 0, 0, 3, 0, 8, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72270786033", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (7, 1) of the result:\nA =\n[[-8, 7, 10, -3, 4, 0, 4, 5],\n [0, 4, 2, -1, -3, 0, -2, -10],\n [9, -3, -2, -7, -12, -7, -8, -6],\n [9, -1, -1, -6, -11, -12, 10, 12],\n [5, -1, -6, 6, 9, -10, -3, -2],\n [-8, -11, -5, 1, -5, 10, -7, -12],\n [11, -12, -5, -2, 5, 11, -3, -1],\n [7, 10, 3, -8, 3, 11, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1377826607", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-8, -12, 6, -3, 12, 1, 12, 8],\n [-10, -7, -8, 4, 5, -1, -8, -4],\n [-1, 7, -4, -10, -12, 9, 2, -3],\n [1, -6, -9, -8, 7, 3, -10, 4],\n [0, -7, -8, 3, -2, 4, -8, -7],\n [-3, 8, -12, 8, -3, 4, -10, -11],\n [4, -9, -11, -8, -3, -12, -12, -9],\n [-6, 1, 1, 5, -11, -12, 8, 9]], determine the value at position (6, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-653763", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) of the matrix A^7 where A is:\n[[3, 9, 5, 3, 10, 9, 11, -7],\n [12, -3, -11, -6, 8, 4, -10, 7],\n [-1, -11, -6, 4, 6, -1, -4, 1],\n [-11, 8, -9, 6, 8, 3, 9, 4],\n [-11, 4, 6, -5, 11, 7, -7, -1],\n [12, 10, 5, -11, 6, 11, -3, 12],\n [-10, 12, -1, 3, -1, -5, -8, -2],\n [-3, -10, 10, -4, -1, -7, 6, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-383089411", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, 10, 11, 1, -9, 5, -3, 5],\n [-1, 6, -5, -12, 1, 10, -7, 1],\n [-11, -4, -1, -8, -11, 6, -6, -6],\n [-3, 4, 1, -2, 7, -7, -5, 6],\n [6, 11, 11, 11, 4, 11, 11, 5],\n [-1, -4, 10, 11, 3, 5, 3, 3],\n [-9, 10, 9, -6, -12, 11, 10, 7],\n [-12, -5, 10, -5, -3, -12, 8, 12]], determine the value at position (5, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38464668", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[8, 4, 2, 0, 7, 7, -4, -6],\n [4, 3, 6, -2, -2, 2, 0, 0],\n [2, 6, 1, 0, 0, 10, 0, 3],\n [0, -2, 0, 12, -1, -8, 0, -4],\n [7, -2, 0, -1, 9, 4, -11, -8],\n [7, 2, 10, -8, 4, -12, -4, 0],\n [-4, 0, 0, 0, -11, -4, 12, -7],\n [-6, 0, 3, -4, -8, 0, -7, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471331677", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[2, -2, -5, 8, 8, 0, -6, -4],\n [-2, 5, 0, 12, -7, -4, 2, 4],\n [-5, 0, -1, -1, 0, -2, -4, 2],\n [8, 12, -1, -8, -4, 6, 3, 4],\n [8, -7, 0, -4, -10, 6, 0, 4],\n [0, -4, -2, 6, 6, -11, 1, 2],\n [-6, 2, -4, 3, 0, 1, 5, 10],\n [-4, 4, 2, 4, 4, 2, 10, 12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10918825494", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 8) of the matrix A^7 where A is:\n[[-5, 1, 4, -4, 2, 8, -4, -4],\n [1, 3, 2, 4, 8, 0, 4, -1],\n [4, 2, -8, -2, -12, 2, -2, -8],\n [-4, 4, -2, -11, -2, -3, 10, 6],\n [2, 8, -12, -2, 11, 0, 4, 9],\n [8, 0, 2, -3, 0, 1, 4, -2],\n [-4, 4, -2, 10, 4, 4, -10, 3],\n [-4, -1, -8, 6, 9, -2, 3, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-389288625", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-12, 7, 6, -10, -3, -1, 5, 1],\n [-3, -3, 5, 11, -12, 2, -5, -10],\n [5, -4, 3, 8, 2, -8, 0, 9],\n [7, -6, 3, -6, 12, 9, 3, 0],\n [4, -4, -1, 0, -4, -8, -6, -12],\n [-9, -9, 3, -8, 9, -9, -7, 10],\n [-10, 12, -5, 4, 5, 5, 12, -1],\n [12, 12, -12, 10, -1, -2, 0, -10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1802958592", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the 7th power of the matrix:\n[[12, -5, -10, 4, 12, 0, -3, 4],\n [-10, 0, 9, -7, 1, -3, 7, 3],\n [5, 0, -3, -7, -3, -8, -7, -6],\n [-2, 3, 12, -1, -1, 10, 7, -8],\n [3, -7, -4, -8, 8, 10, 3, 5],\n [6, -1, -11, -3, -1, 1, 5, 6],\n [-7, -8, 3, 1, 0, 8, -11, -11],\n [-1, -12, 6, 3, -6, 8, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68043885", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 4) of the result:\nA =\n[[12, -7, 5, -12, -12, 12, 1, -7],\n [-7, -9, -1, 5, -3, -10, -10, -5],\n [9, 10, 12, -12, 5, 2, 12, 8],\n [7, 4, 12, -2, 0, 12, 7, 12],\n [-3, 0, 4, 8, -12, 7, 3, 3],\n [8, -10, -11, -7, -2, -10, -12, -2],\n [0, -8, 5, 2, 5, 2, 7, 7],\n [7, -6, 4, -5, 0, 3, 12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-432418037", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[1, 2, 8, 9, 0, -9, 6, 8],\n [2, -5, -3, 8, -9, 0, -7, -2],\n [8, -3, -10, -2, -4, 10, 0, -6],\n [9, 8, -2, -6, -4, 4, -11, -4],\n [0, -9, -4, -4, -8, 8, -2, -2],\n [-9, 0, 10, 4, 8, -6, -4, -5],\n [6, -7, 0, -11, -2, -4, -1, -6],\n [8, -2, -6, -4, -2, -5, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9517856936", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[9, 0, -6, 0, 0, 6, 0, -8],\n [0, 5, -3, 1, -1, 2, -6, 3],\n [-6, -3, 4, -6, 0, -5, -4, -3],\n [0, 1, -6, -6, 6, 2, 2, 2],\n [0, -1, 0, 6, -9, -4, 0, 4],\n [6, 2, -5, 2, -4, 11, 7, 0],\n [0, -6, -4, 2, 0, 7, -8, 3],\n [-8, 3, -3, 2, 4, 0, 3, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2593598441", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 7th power of the matrix:\n[[-7, 8, -8, -1, -9, 1, 4, -6],\n [8, -10, 4, 8, -1, 3, 1, 0],\n [-8, 4, -2, -1, -6, -4, 1, 2],\n [-1, 8, -1, 9, 2, 1, 2, 6],\n [-9, -1, -6, 2, -11, 0, 2, -6],\n [1, 3, -4, 1, 0, -11, -8, 5],\n [4, 1, 1, 2, 2, -8, -3, 0],\n [-6, 0, 2, 6, -6, 5, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2565764868", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[0, -3, -4, 0, -6, 8, -8, 8],\n [-3, 0, -6, -2, -8, 2, 0, -3],\n [-4, -6, 6, 6, -3, 2, 2, 0],\n [0, -2, 6, -5, 10, 0, -2, 2],\n [-6, -8, -3, 10, 12, 7, 5, 3],\n [8, 2, 2, 0, 7, 1, -6, 6],\n [-8, 0, 2, -2, 5, -6, -9, 2],\n [8, -3, 0, 2, 3, 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": "29422507556", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-6, 4, -4, 4, 2, -4, 0, 6],\n [4, 1, 4, 0, 2, -3, 6, 4],\n [-4, 4, 6, 2, 0, -8, 0, -8],\n [4, 0, 2, -6, -7, -8, 5, 1],\n [2, 2, 0, -7, -3, -2, 2, -10],\n [-4, -3, -8, -8, -2, 11, 10, 3],\n [0, 6, 0, 5, 2, 10, -4, 0],\n [6, 4, -8, 1, -10, 3, 0, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56818197", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the 7th power of the matrix:\n[[-11, 4, 8, 1, -4, 1, 6, -2],\n [4, -2, 8, -2, 6, -5, 10, 0],\n [8, 8, -12, 1, 3, 6, 0, 3],\n [1, -2, 1, 8, 0, 10, 4, -2],\n [-4, 6, 3, 0, -2, 8, 6, -2],\n [1, -5, 6, 10, 8, -10, -3, 1],\n [6, 10, 0, 4, 6, -3, -3, -8],\n [-2, 0, 3, -2, -2, 1, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121726414", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) of the matrix A^6 where A is:\n[[12, 11, 2, 7, 11, -8, -10, 4],\n [-3, -8, -2, -7, -9, -6, 6, -6],\n [1, 4, 10, 4, 0, -12, -11, 5],\n [-9, 0, -12, -9, -11, -9, 3, -9],\n [12, -4, 4, 8, 10, 7, 8, -11],\n [-10, 10, 2, -6, -9, -1, -12, 4],\n [-9, -9, 9, 10, 12, -4, 8, -3],\n [6, 6, 2, 9, 4, -6, -10, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2929118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, 2, 3, 4, -4, -6, 1, 4],\n [2, 5, 9, 4, -3, 6, 8, -4],\n [3, 9, -7, 7, 2, -10, -6, -6],\n [4, 4, 7, 12, -2, -6, -4, 4],\n [-4, -3, 2, -2, 10, 10, 4, -4],\n [-6, 6, -10, -6, 10, -5, 4, 4],\n [1, 8, -6, -4, 4, 4, -8, 0],\n [4, -4, -6, 4, -4, 4, 0, 8]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2320280666", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[3, 2, 7, -8, -6, 5, 3, 10],\n [2, -1, 9, 3, -10, -1, 0, -4],\n [7, 9, -6, 2, 10, -6, 4, 4],\n [-8, 3, 2, -11, 6, -2, 8, 2],\n [-6, -10, 10, 6, 11, -2, 10, -4],\n [5, -1, -6, -2, -2, -9, 0, -2],\n [3, 0, 4, 8, 10, 0, 11, -1],\n [10, -4, 4, 2, -4, -2, -1, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3382794237", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) of the matrix A^5 where A is:\n[[-3, 2, -7, -6, -4, -2, -2, -7],\n [2, -1, -2, 4, 0, -1, 3, -6],\n [-7, -2, 9, -2, 6, 1, -1, 2],\n [-6, 4, -2, -11, -2, -11, 4, -10],\n [-4, 0, 6, -2, 5, -2, 0, -8],\n [-2, -1, 1, -11, -2, 7, 6, 8],\n [-2, 3, -1, 4, 0, 6, -1, -4],\n [-7, -6, 2, -10, -8, 8, -4, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59688", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[12, 6, -4, -5, 6, 5, 2, -9],\n [2, 0, 5, 7, -8, 5, -5, -12],\n [6, 10, 4, -11, 6, 3, 5, -11],\n [-7, -6, -7, -7, -4, -5, 11, 9],\n [8, -4, -1, 5, 10, -7, 10, -9],\n [12, -6, 5, 7, -8, 5, -3, -5],\n [-12, 2, -10, 2, 1, -12, 8, -5],\n [-6, -4, 5, -1, -5, -5, -7, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115254823", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-11, 1, -5, -7, -9, -8, 8, 0],\n [-4, 0, -4, 11, 11, 3, -1, -11],\n [6, 3, 11, 0, -8, 10, 11, -7],\n [8, 11, 4, 4, 4, -10, 0, -1],\n [-7, 9, 8, 0, 1, -6, -8, 1],\n [5, -9, -12, -6, 7, 0, -9, 0],\n [-9, -10, -5, 7, -5, 12, 4, 2],\n [-9, -7, 11, 9, -7, -3, -9, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1052945731", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[3, -2, 0, -3, -10, -2, 6, 4],\n [-2, -12, -2, 7, -3, 2, -4, 1],\n [0, -2, -8, -1, -11, 0, -7, -4],\n [-3, 7, -1, 0, 0, -6, 3, 8],\n [-10, -3, -11, 0, -8, 2, 8, -5],\n [-2, 2, 0, -6, 2, 4, 2, 4],\n [6, -4, -7, 3, 8, 2, -4, 0],\n [4, 1, -4, 8, -5, 4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24637242", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[4, 6, 11, -6, 1, 0, 5, -4],\n [6, -6, 0, 3, -2, -2, 2, -8],\n [11, 0, -9, -8, -2, -4, -2, 0],\n [-6, 3, -8, 0, 2, -6, -10, 2],\n [1, -2, -2, 2, 10, -6, -4, -4],\n [0, -2, -4, -6, -6, 10, -4, 8],\n [5, 2, -2, -10, -4, -4, 11, 0],\n [-4, -8, 0, 2, -4, 8, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3037346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (4, 4) of the result:\nA =\n[[-3, -5, -11, 8, 2, -7, -8, 9],\n [9, -10, -2, -2, 3, -10, -4, -10],\n [6, -2, 1, -11, -6, -3, -3, 7],\n [-12, -7, 8, 1, -11, -7, -12, -10],\n [-9, 0, -10, 2, 0, 9, -2, -9],\n [4, -8, 8, 12, 11, -5, 8, 11],\n [-3, -6, 4, -6, 11, 6, -4, 11],\n [-11, 9, 7, 6, -7, -3, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1849253", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, -3, -3, -8, 9, -9, 10, -11],\n [-6, 5, 4, -2, 8, 5, -5, -1],\n [11, -12, 7, 12, 8, -1, -7, -10],\n [-8, 1, -1, 0, 0, 4, 11, 2],\n [-7, -1, -11, -9, 7, 12, 12, 8],\n [-1, -10, 4, -7, 11, 4, 4, -2],\n [10, -6, -11, 6, -11, 9, 0, 11],\n [11, 3, 4, -2, -4, 11, -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": "1231663082", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[0, 12, -2, -1, 9, -10, -12, -5],\n [6, 0, -6, 0, -7, -10, -7, -10],\n [0, 0, 12, 0, -12, -5, -8, 7],\n [4, -4, 0, 12, 0, -8, 1, -2],\n [12, 1, 12, -6, 11, 4, -9, -3],\n [-3, 2, 7, -1, -4, -10, 2, -1],\n [2, -12, 2, -2, -8, -6, -1, 7],\n [12, -7, 9, -10, -3, 8, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2393152619", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 8) of the 6th power of the matrix:\n[[0, 6, -8, 10, 9, 5, -12, 8],\n [8, 3, 3, 3, 9, 6, 3, -12],\n [7, 7, -3, -11, 1, -5, -7, -10],\n [3, 4, -1, 6, 11, 7, -10, 0],\n [3, -2, 7, 3, 7, -11, -9, 12],\n [-9, 4, -12, -12, -8, 9, -1, -7],\n [-7, 12, 4, 9, 0, -5, 11, -1],\n [2, 6, 8, 7, 4, -4, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89780157", "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, -4, 11, -2, -2, -1, 6, 4],\n [-4, 3, 0, -1, 2, 10, -3, -5],\n [11, 0, -1, 6, -6, 1, 2, -4],\n [-2, -1, 6, 0, 0, 3, -8, -6],\n [-2, 2, -6, 0, 10, 2, 0, 10],\n [-1, 10, 1, 3, 2, -2, 6, -7],\n [6, -3, 2, -8, 0, 6, 3, 2],\n [4, -5, -4, -6, 10, -7, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "622999196", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 7th power of the matrix:\n[[5, -2, 0, -7, -4, 3, -9, -11],\n [-6, 2, 12, -7, -2, 7, 4, -9],\n [6, -6, -2, 0, 8, -10, 1, -11],\n [5, -8, 0, 0, 11, 11, 1, -1],\n [8, 0, 5, 0, -9, 10, 9, -3],\n [10, -8, 5, -5, 1, -11, -5, 3],\n [-6, -10, -9, -6, -9, -4, 10, 4],\n [4, 7, 1, 1, 12, 0, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174393075", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[8, 0, -5, 2, 0, 0, 9, 1],\n [0, 9, 1, 8, -2, 4, -2, -12],\n [-5, 1, 9, -4, -2, -1, 8, 2],\n [2, 8, -4, 8, -3, -2, 10, -1],\n [0, -2, -2, -3, 9, -6, -5, -8],\n [0, 4, -1, -2, -6, 6, -4, -6],\n [9, -2, 8, 10, -5, -4, 11, -4],\n [1, -12, 2, -1, -8, -6, -4, 9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31607471", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (5, 1) of the result:\nA =\n[[-5, -4, 7, 2, -10, 6, 4, -3],\n [-4, 9, -6, -2, -6, 3, -4, 0],\n [7, -6, 11, 4, -2, 2, 2, 6],\n [2, -2, 4, 7, -8, 6, -5, 4],\n [-10, -6, -2, -8, -6, 3, 4, 1],\n [6, 3, 2, 6, 3, 12, -6, 0],\n [4, -4, 2, -5, 4, -6, -2, -3],\n [-3, 0, 6, 4, 1, 0, -3, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2361808", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) of the matrix A^7 where A is:\n[[7, -3, 0, 4, -5, 1, 0, -4],\n [-3, 2, 8, -6, 2, 0, -1, -5],\n [0, 8, -1, 3, -3, 2, 6, 6],\n [4, -6, 3, 1, 0, 1, -4, -2],\n [-5, 2, -3, 0, -6, 0, 6, 8],\n [1, 0, 2, 1, 0, 2, -6, 8],\n [0, -1, 6, -4, 6, -6, 9, -6],\n [-4, -5, 6, -2, 8, 8, -6, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220620388", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, 4, -7, 4, -8, 2, 0, -1],\n [4, -7, 2, -1, 6, 4, -2, -4],\n [-7, 2, 1, 0, -4, 1, -4, 0],\n [4, -1, 0, -9, -10, -5, 6, -1],\n [-8, 6, -4, -10, 9, 0, -10, -6],\n [2, 4, 1, -5, 0, 0, 4, 5],\n [0, -2, -4, 6, -10, 4, 12, -6],\n [-1, -4, 0, -1, -6, 5, -6, 5]], determine the value at position (8, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20501304", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[6, -3, 4, 1, -2, -6, 0, 0],\n [-3, 6, 4, 1, 0, -1, 2, 4],\n [4, 4, -12, 6, 6, 0, 5, -4],\n [1, 1, 6, -9, -2, -6, -1, 0],\n [-2, 0, 6, -2, 0, 2, -4, 0],\n [-6, -1, 0, -6, 2, -11, 1, -12],\n [0, 2, 5, -1, -4, 1, -6, 10],\n [0, 4, -4, 0, 0, -12, 10, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2875652", "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, 6, -8, 10, 8, 1, -3],\n [8, -6, -5, -5, -6, 0, 1, 6],\n [-2, -11, 4, -7, -4, 6, -8, -4],\n [12, -6, -9, 5, 5, 7, 4, -9],\n [9, 3, 9, 10, -8, -4, -11, -11],\n [-9, 7, 7, 4, 7, 8, 12, 6],\n [-10, -8, -3, -7, -10, 4, -3, 11],\n [-1, -12, 5, 6, 9, 7, -9, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25532353692", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the 5th power of the matrix:\n[[-4, -7, -1, 5, 10, 2, 6, -4],\n [9, 11, 0, 3, 0, -12, 5, 9],\n [-10, 4, 9, -8, 12, -7, 8, 4],\n [4, -12, -6, 9, 3, -8, 3, -9],\n [-2, 1, 0, 11, -5, 8, 7, 2],\n [5, -6, 8, 6, 12, -4, -2, -3],\n [1, 3, -5, -12, -1, -10, -11, 3],\n [-9, -11, -1, 11, 4, 7, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "625262", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) of the matrix A^7 where A is:\n[[7, -5, 5, 12, 5, 5, -11, -1],\n [-3, -5, 6, -3, -2, 1, 2, 11],\n [10, -3, -9, -6, -2, 11, 9, 9],\n [-10, -8, -11, -1, 8, -8, -6, -9],\n [-2, 9, -4, -9, 9, -4, -1, 3],\n [-12, -5, -12, 7, 6, -9, 1, 10],\n [1, -4, -4, 4, 2, -3, 4, -4],\n [-9, 1, -10, 12, 8, -1, 9, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79174851", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 6th power of the matrix:\n[[-12, 0, 1, 3, -6, -3, 2, -5],\n [-2, 11, 1, 0, 10, 0, -4, 4],\n [5, 6, 0, -1, 8, 7, 7, -5],\n [11, -2, -6, -12, -3, 2, -9, -12],\n [-2, -8, 6, 6, -9, -11, -6, 0],\n [7, 8, -1, -11, 9, -4, 3, -5],\n [11, 5, -9, 11, -2, 4, -5, 6],\n [-5, -7, 10, -11, 2, -12, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7230750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-9, 2, 4, -2, -7, -10, -4, -1],\n [2, -7, 0, 4, -4, 2, 11, 0],\n [4, 0, -3, 4, 10, 6, -2, -7],\n [-2, 4, 4, 9, 6, -1, 7, 1],\n [-7, -4, 10, 6, -12, 0, -4, -12],\n [-10, 2, 6, -1, 0, 6, -2, 6],\n [-4, 11, -2, 7, -4, -2, 2, -2],\n [-1, 0, -7, 1, -12, 6, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "851439483", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-7, -1, 4, 8, 2, -6, 2, -4],\n [-1, 6, 5, -6, 4, 0, 6, -6],\n [4, 5, -6, -3, 1, -3, -8, -2],\n [8, -6, -3, -8, 4, 9, 4, 0],\n [2, 4, 1, 4, 4, 0, 3, 1],\n [-6, 0, -3, 9, 0, -11, -8, 6],\n [2, 6, -8, 4, 3, -8, 6, -8],\n [-4, -6, -2, 0, 1, 6, -8, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170482679", "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[[-7, -2, 0, 0, 0, -1, 3, -5],\n [-2, -6, 3, 3, -4, -2, 1, 0],\n [0, 3, 8, -4, 2, 6, -4, 1],\n [0, 3, -4, 7, 4, 2, 0, -6],\n [0, -4, 2, 4, 2, 8, -10, 3],\n [-1, -2, 6, 2, 8, -7, 0, 4],\n [3, 1, -4, 0, -10, 0, 0, 2],\n [-5, 0, 1, -6, 3, 4, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196810804", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[5, -2, 3, -6, -7, 4, -10, 9],\n [-2, -1, -6, -1, -7, 4, 1, 0],\n [3, -6, -11, -5, 5, 1, -6, 4],\n [-6, -1, -5, -6, -2, 3, 2, -2],\n [-7, -7, 5, -2, -8, -3, -1, 6],\n [4, 4, 1, 3, -3, 3, 7, -6],\n [-10, 1, -6, 2, -1, 7, -9, 5],\n [9, 0, 4, -2, 6, -6, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107528670855", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-7, -5, 0, 10, 7, -9, -8, -3],\n [-8, -1, -12, 11, -3, -8, 6, 6],\n [7, -1, 10, 3, -8, 4, 1, -1],\n [0, 8, 1, -8, 9, 10, -8, 5],\n [1, 5, 7, -12, -6, 4, -10, -3],\n [-6, -1, 9, 2, 10, 8, 3, -5],\n [-7, -9, -2, 4, -11, -7, -9, -10],\n [-6, -6, 3, -11, -5, 2, 3, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1378172747", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-3, -2, -2, -6, 3, 2, -1, -1],\n [-2, 1, 6, 5, 0, 6, 0, 0],\n [-2, 6, 1, -2, 0, -4, 4, -6],\n [-6, 5, -2, 12, -4, 6, 4, -3],\n [3, 0, 0, -4, -1, 2, -4, 2],\n [2, 6, -4, 6, 2, 3, 6, 2],\n [-1, 0, 4, 4, -4, 6, 1, -6],\n [-1, 0, -6, -3, 2, 2, -6, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37626256", "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, 5, 8, -3, -7, 11, 9],\n [-9, 6, 1, 1, 5, 4, 5, 5],\n [-8, -4, -12, -9, -6, -2, 1, -3],\n [6, -5, -10, -5, 5, -8, 7, -2],\n [-4, 6, -1, -8, 3, 12, 0, -7],\n [3, 5, 4, -1, -12, -6, 1, 5],\n [10, -12, 7, -3, 2, -2, -9, 2],\n [8, 3, 2, 4, 10, -2, 5, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9647309263", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[2, -2, 0, 5, -5, -4, 9, -2],\n [4, -12, -2, -6, -5, 6, 12, -9],\n [-9, 6, 11, -4, 4, 5, -12, 1],\n [-9, -3, 10, 1, -6, -1, 9, 3],\n [-8, -2, -9, 0, -5, -6, -2, -2],\n [4, 9, 1, -11, 7, 8, -5, 9],\n [-11, 8, 2, -8, -7, 4, -5, 6],\n [-8, 10, 6, 1, -3, 0, 9, -8]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187274", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, -3, -2, -10, 0, -11, -9, -10],\n [2, -9, 10, 8, -9, 2, -7, 10],\n [-8, -1, -6, -10, -6, -1, 2, 6],\n [-7, -5, -7, -10, -8, -4, 11, 3],\n [9, 3, -4, 5, 0, -2, 12, -3],\n [-3, -7, 3, 12, -1, -9, -8, -11],\n [6, -12, -9, -1, -11, -1, 3, -11],\n [4, -11, -9, -7, 10, -6, 10, 2]], determine the value at position (6, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18725578", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 8) of the matrix A^5 where A is:\n[[7, -1, -8, 1, 3, -2, -1, 6],\n [4, 11, -6, -4, 1, 7, -1, 2],\n [-1, 8, 8, 10, 0, -4, 11, -6],\n [-12, -3, -7, 2, 2, -4, 0, 10],\n [-12, -4, -10, -4, 7, 12, 2, 11],\n [-6, -9, 12, 7, 4, 9, -9, 6],\n [-8, 3, -10, -2, 12, 9, 2, 6],\n [8, 11, 1, 3, 11, -7, -8, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, 3, -11, -2, -9, -7, -6, 4],\n [-5, -12, 12, 2, 7, -1, 2, 10],\n [9, 2, -4, 3, -11, 2, 2, -6],\n [8, 0, 10, 4, -2, -3, 12, -12],\n [1, -8, -5, -12, -6, -11, -6, -6],\n [-4, 9, -9, 10, -6, 7, 5, 0],\n [-2, -4, 1, -5, 8, 1, 8, 4],\n [12, 1, 11, -8, -3, -7, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-416811499", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^7 where A is:\n[[11, -7, -3, 1, 7, -10, -6, -11],\n [-6, 4, 0, 8, -4, 0, 2, 0],\n [4, -5, -4, -4, -5, 3, 7, -6],\n [4, -6, -7, -8, 4, -5, -12, 3],\n [4, -10, 0, -5, 3, 11, -6, 8],\n [2, 11, -11, 11, -11, -3, -8, -9],\n [2, 0, 4, 8, 10, -12, 5, 2],\n [1, -4, -1, -8, 10, -11, 10, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93236437", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (4, 8) of the result:\nA =\n[[-6, 10, 1, 6, 0, -7, 4, -6],\n [10, -1, -1, 2, -4, -1, -7, 2],\n [1, -1, -5, 0, -2, 5, 4, -4],\n [6, 2, 0, -7, 8, 6, -2, 7],\n [0, -4, -2, 8, -12, 2, 3, -8],\n [-7, -1, 5, 6, 2, -9, -1, -4],\n [4, -7, 4, -2, 3, -1, 11, 2],\n [-6, 2, -4, 7, -8, -4, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5515925", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, -1, -4, -2, 6, -6, 3, -6],\n [-1, -3, -10, 8, -4, -4, 0, 6],\n [-4, -10, -11, -4, 0, 3, -5, 0],\n [-2, 8, -4, -1, 6, -10, -6, 10],\n [6, -4, 0, 6, -4, 8, 10, -6],\n [-6, -4, 3, -10, 8, -4, -3, -2],\n [3, 0, -5, -6, 10, -3, -12, -8],\n [-6, 6, 0, 10, -6, -2, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134714502", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 8) of the matrix A^6 where A is:\n[[1, -10, 5, 2, -9, 8, 4, -6],\n [-10, -4, 2, 2, -4, -11, -4, -4],\n [5, 2, -12, 1, 8, -6, -2, 0],\n [2, 2, 1, -6, 5, -6, -4, 10],\n [-9, -4, 8, 5, 6, -4, 0, 0],\n [8, -11, -6, -6, -4, -4, -5, -9],\n [4, -4, -2, -4, 0, -5, 2, 0],\n [-6, -4, 0, 10, 0, -9, 0, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36840570", "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[[7, -8, 0, -5, 3, 5, 12, 3],\n [-12, -5, 8, -11, 11, -8, 2, 1],\n [-10, -6, -9, -2, -1, 2, -7, 11],\n [-12, 5, 1, 11, -6, -3, -4, -11],\n [-5, 9, -12, 7, -11, -6, 12, 3],\n [9, -9, 8, 4, -9, -10, -4, 9],\n [2, 7, -10, -1, 2, 7, -5, -1],\n [8, 0, 2, -2, 4, 8, 11, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1209236865", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[7, 5, 3, -10, -4, -6, 6, -8],\n [6, -3, 7, -1, -5, -10, 6, -2],\n [-5, 0, 10, 10, -3, 5, -1, -6],\n [-2, -3, -10, -6, -9, -5, -5, -7],\n [0, -1, -10, -7, 9, 6, -2, -9],\n [2, -11, 2, 4, -11, -6, 3, -8],\n [3, 12, 6, -11, 2, -9, -11, 10],\n [-3, 9, 11, -8, 5, -9, -12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6071856019", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (2, 1) of the result:\nA =\n[[7, -4, 10, 0, 4, -6, 2, -6],\n [-4, -3, 3, 6, 4, -2, -6, -4],\n [10, 3, 10, 2, -5, 2, 7, 4],\n [0, 6, 2, 1, 10, 1, -4, -8],\n [4, 4, -5, 10, -4, -1, 2, 6],\n [-6, -2, 2, 1, -1, -2, -1, 2],\n [2, -6, 7, -4, 2, -1, 0, 3],\n [-6, -4, 4, -8, 6, 2, 3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15028604", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-7, 0, 11, -1, 2, -10, -2, -6],\n [0, -3, 2, 8, 2, -6, 8, -2],\n [11, 2, -2, -8, 7, -1, 4, -5],\n [-1, 8, -8, -7, -3, 2, -4, 0],\n [2, 2, 7, -3, -11, -10, 9, 7],\n [-10, -6, -1, 2, -10, -11, 8, 6],\n [-2, 8, 4, -4, 9, 8, 7, -2],\n [-6, -2, -5, 0, 7, 6, -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": "234287221", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-6, -1, 9, 9, 10, 11, -10, 6],\n [-3, -5, 3, 3, -1, 10, -8, 7],\n [-7, 12, -7, -5, 4, -1, 9, 1],\n [-11, 6, -7, 5, -9, 9, -8, -7],\n [2, -7, -5, -4, 8, 9, -7, 9],\n [-11, 3, 7, -12, 3, -12, -12, -6],\n [3, 4, 3, 3, -7, 5, 9, 9],\n [-10, -5, -9, 10, -9, 4, 9, -8]], determine the value at position (7, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1084035", "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, 3, -4, 6, 3, 4, 10, 2],\n [3, 1, 8, -1, 4, 0, 0, -5],\n [-4, 8, 12, 5, -3, 9, 4, 6],\n [6, -1, 5, -2, 4, -1, -6, 6],\n [3, 4, -3, 4, 10, -2, 4, -8],\n [4, 0, 9, -1, -2, -10, 5, 6],\n [10, 0, 4, -6, 4, 5, 11, 4],\n [2, -5, 6, 6, -8, 6, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2099754808", "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, -10, -8, 10, 4, -12, 8, -4],\n [10, 4, 0, 2, 8, -5, -5, -11],\n [10, -3, -8, 3, 12, 6, -12, 0],\n [-9, -6, -12, -11, 3, 1, -8, 12],\n [1, 4, -1, 7, -1, -10, 8, 8],\n [-11, 8, 12, 8, 2, -2, -3, 5],\n [10, 9, 10, 11, 8, -11, -6, -6],\n [11, -6, 10, 1, 12, 11, -11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15788576293", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[10, 2, -2, -3, -10, 4, -4, 2],\n [1, 6, 4, 9, 7, 4, 3, 7],\n [-5, -6, -1, -12, -1, 12, -7, 3],\n [5, 6, 10, -10, -10, -8, -10, 6],\n [-8, 1, 8, 3, 12, -12, 4, -2],\n [-4, 8, -9, -11, -4, 9, 12, -8],\n [-9, 10, -8, 11, 11, 5, 0, -8],\n [11, 6, 10, -10, 9, 5, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44661663119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[11, -8, -12, -5, 12, -12, 8, -7],\n [7, 1, -2, -11, 8, -9, 0, -6],\n [-7, -10, -4, 1, 7, -2, -8, 1],\n [6, -5, -6, -6, 11, 10, -10, -10],\n [5, 0, -12, -8, -9, 3, 2, 5],\n [4, 1, 1, 6, -7, 0, 5, 2],\n [10, -6, 6, 4, -4, -2, -8, -11],\n [2, 11, -1, -3, -3, 7, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-257310", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 7) of the 7th power of the matrix:\n[[-6, -6, -3, -2, 2, 1, 2, 8],\n [-6, -8, 0, 9, -3, 4, -6, 0],\n [-3, 0, 12, -4, -8, 0, 2, 7],\n [-2, 9, -4, -9, -2, -2, 3, 1],\n [2, -3, -8, -2, 5, 4, 2, 4],\n [1, 4, 0, -2, 4, 5, 2, 0],\n [2, -6, 2, 3, 2, 2, -8, 4],\n [8, 0, 7, 1, 4, 0, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456600843", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-10, 9, -12, -10, -2, 5, -6, -4],\n [-9, 10, 11, -3, 5, 10, 3, -1],\n [6, 11, 9, -10, -5, 6, -4, 6],\n [4, 0, -11, -9, -2, -11, -9, -9],\n [7, -12, 12, -2, 10, -11, 6, -5],\n [10, 7, -9, 12, 3, 2, -8, -8],\n [2, 10, 4, -10, 5, -2, -7, -1],\n [9, 4, 1, -7, -3, 3, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1688385742", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-7, 9, -10, 2, 2, -2, 4, -2],\n [9, 7, 2, -10, -4, -8, 6, -5],\n [-10, 2, -6, 5, -4, -9, -7, -2],\n [2, -10, 5, -1, 10, -4, 2, -1],\n [2, -4, -4, 10, -7, 1, 2, -2],\n [-2, -8, -9, -4, 1, -8, 0, -9],\n [4, 6, -7, 2, 2, 0, 8, 2],\n [-2, -5, -2, -1, -2, -9, 2, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1979055", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-4, -1, 2, 7, -11, -4, 1, -9],\n [-9, -7, 11, -8, 11, 4, 0, 7],\n [4, 6, 10, -12, 8, 4, 9, 12],\n [-10, 1, -1, 2, -7, 7, 9, -11],\n [-9, 0, 0, 10, 9, 12, 10, 4],\n [-7, -2, 6, 3, -5, -12, -3, -11],\n [6, 1, -10, 10, 11, -4, 10, -5],\n [-2, 2, -7, -11, -12, -10, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2392954", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[5, 1, 4, -11, 6, 9, -4, -5],\n [-3, -4, -5, -6, 9, 11, -7, -11],\n [-4, -4, 6, -4, -11, 6, 3, 9],\n [1, 7, 11, -12, 0, 9, -11, 9],\n [1, -12, 2, 5, -4, 9, -5, -6],\n [-4, -4, -2, -9, -6, 8, -6, -9],\n [-1, 4, 7, -10, -4, -8, 7, 3],\n [-5, 8, 3, 6, 3, 5, 2, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-598868524", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[5, 1, 11, 3, -8, -5, 3, 8],\n [-12, -2, -2, -11, 9, 6, 11, -8],\n [-10, 10, -5, -9, 0, 12, 9, 1],\n [-12, -8, 8, -6, 10, -7, 2, 2],\n [-5, -11, 1, 3, 10, -3, 2, 10],\n [-9, -1, -3, -11, -9, 7, -7, 1],\n [10, -10, 2, -12, 6, 12, -12, 0],\n [-5, 5, 9, -10, 10, 5, 7, -4]], determine the value at position (1, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-7, 7, -11, 12, -9, 12, 5, -6],\n [-2, -8, -5, -2, 11, 7, 7, 2],\n [11, -10, -6, 11, -5, -2, -3, 7],\n [-4, 2, 7, 11, 9, -8, 2, -9],\n [-8, 2, 4, 10, -5, 12, 6, -4],\n [-3, -8, -3, 9, -12, 12, 12, 9],\n [11, -9, 8, -8, 10, -6, 10, -8],\n [7, -5, 4, -12, 9, 5, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1439959001", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[7, 1, 3, 5, -3, 10, 2, -3],\n [-12, 6, -11, 0, 12, 3, -5, -10],\n [8, 6, 1, -2, -1, -2, -2, 9],\n [8, 5, -3, 3, -5, -7, 6, 0],\n [2, 0, -12, 8, -11, 0, -11, 12],\n [-2, 0, -3, 10, 9, 2, -12, 1],\n [-3, 5, -2, -6, 2, -10, -11, 9],\n [-5, -5, -2, 3, -11, 9, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20644514255", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) of the matrix A^7 where A is:\n[[7, 6, -10, -4, 4, -2, 5, -4],\n [6, 8, 6, -1, 0, 1, 7, -4],\n [-10, 6, -6, -4, 12, 6, 1, -12],\n [-4, -1, -4, 6, -2, -6, 0, 2],\n [4, 0, 12, -2, 2, 0, 0, 2],\n [-2, 1, 6, -6, 0, 6, 0, -4],\n [5, 7, 1, 0, 0, 0, 8, -5],\n [-4, -4, -12, 2, 2, -4, -5, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-505323144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 7) of the matrix A^7 where A is:\n[[-1, 11, -1, 4, 9, 9, 6, -4],\n [-1, 8, 4, 10, -3, 6, -2, 7],\n [9, 11, 0, -9, 2, -1, 12, 11],\n [-3, 9, -6, 11, -11, 8, -6, -5],\n [8, 6, -7, 8, -5, 12, 12, 9],\n [7, -9, 12, 7, 11, -4, -8, -7],\n [6, -1, -8, -8, 5, -7, -4, -2],\n [10, 1, 11, -11, 1, 12, 6, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317745798", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-8, 0, -10, -9, 10, 6, 2, -4],\n [0, 3, 2, 10, 4, -1, 2, 2],\n [-10, 2, 3, -2, -5, 6, 6, 5],\n [-9, 10, -2, 8, 6, 9, 2, 3],\n [10, 4, -5, 6, -11, 4, 5, 8],\n [6, -1, 6, 9, 4, -1, -4, 2],\n [2, 2, 6, 2, 5, -4, 8, 4],\n [-4, 2, 5, 3, 8, 2, 4, 2]], determine the value at position (3, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1311698", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[10, -10, 6, 2, 3, 9, 9, 4],\n [-12, -2, -7, 10, -4, 7, 3, -7],\n [-1, 6, 0, 0, -9, -4, 1, 1],\n [4, -8, 10, 6, -11, 0, -2, -11],\n [-12, 8, -10, -1, -6, -12, -4, 5],\n [11, 7, -7, -4, 10, -5, 10, 5],\n [12, 2, -12, 1, 5, 6, 6, -3],\n [7, 8, -7, 4, 1, 0, -5, 9]], determine the value at position (7, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11770894", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-3, -6, 0, 10, -9, -8, -6, 4],\n [-6, 9, -4, -8, -9, 0, -2, -1],\n [0, -4, -6, -4, -2, -1, -4, -8],\n [10, -8, -4, -12, 6, 1, 7, 6],\n [-9, -9, -2, 6, -7, 0, -2, 3],\n [-8, 0, -1, 1, 0, -3, 1, 6],\n [-6, -2, -4, 7, -2, 1, -10, 4],\n [4, -1, -8, 6, 3, 6, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132326075", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[2, -1, 3, 7, 6, -8, -1, -8],\n [-3, 4, 2, -5, -5, -5, -3, 7],\n [0, 3, -4, 3, -3, -10, 10, 9],\n [12, 1, 0, -9, -9, -7, 11, 6],\n [-2, -5, 1, -5, 1, 10, -6, 8],\n [5, -1, 1, 2, 5, -1, -3, -1],\n [-5, -7, 11, 6, -12, 0, 9, 3],\n [5, -1, 12, -8, 8, 0, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20273782738", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (3, 8) of the result:\nA =\n[[-10, 12, 7, -9, -1, 0, -11, 6],\n [-9, 10, 0, 6, -5, -5, 3, -2],\n [5, -9, 11, -12, -12, 1, -9, -2],\n [5, 3, 4, 11, -11, -9, -10, 2],\n [-11, 11, 6, -4, -3, 8, 12, 6],\n [-8, 1, -3, 3, -7, 12, -5, -11],\n [5, 8, 8, 8, 7, -5, -8, 4],\n [3, -8, 4, -9, -12, 9, -7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6097947", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 7) of the 6th power of the matrix:\n[[11, -8, -4, 4, 1, -2, 2, 0],\n [-8, -3, 0, 0, -4, -4, -1, -6],\n [-4, 0, -9, 6, 0, 3, 2, -2],\n [4, 0, 6, 9, 4, -7, 6, 2],\n [1, -4, 0, 4, -6, -2, 4, -4],\n [-2, -4, 3, -7, -2, -1, -4, -6],\n [2, -1, 2, 6, 4, -4, 10, 2],\n [0, -6, -2, 2, -4, -6, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3926280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 12, -11, 8, 5, 0, -2],\n [0, 1, -2, 10, -7, -2, 3, 8],\n [12, -2, -9, -1, 0, 9, 3, 0],\n [-11, 10, -1, -2, 0, 2, -6, 2],\n [8, -7, 0, 0, 8, 2, 3, -2],\n [5, -2, 9, 2, 2, 6, 2, -2],\n [0, 3, 3, -6, 3, 2, 5, 3],\n [-2, 8, 0, 2, -2, -2, 3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127767777", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[1, 2, -8, 0, 2, 10, 2, 0],\n [2, 6, 1, 0, -6, 0, -2, 0],\n [-8, 1, -12, 4, -2, 0, 8, 4],\n [0, 0, 4, 9, -4, -2, 9, -4],\n [2, -6, -2, -4, 2, 4, 8, 0],\n [10, 0, 0, -2, 4, -8, -4, 2],\n [2, -2, 8, 9, 8, -4, 12, -2],\n [0, 0, 4, -4, 0, 2, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283349654", "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, 11, 4, 4, 8, 3, -4, -11],\n [-2, 2, -10, 11, 3, 8, 6, 9],\n [-7, 1, -8, -8, -7, 5, 9, 5],\n [6, -11, 4, -12, -4, 0, -9, -8],\n [10, 5, -3, 12, -9, 0, 0, 4],\n [-5, -9, 10, -10, -2, -1, -4, 2],\n [0, -8, -8, 6, -2, -4, -10, 5],\n [0, 12, -1, -4, -3, 0, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "764832179", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 8) of the 5th power of the matrix:\n[[0, 9, -4, 11, -3, 6, -7, -6],\n [2, 9, 6, 1, 3, 1, 12, 7],\n [-11, -4, -10, -7, -8, 1, 2, 5],\n [4, -4, 6, 10, 12, -4, 3, -7],\n [-5, 12, -10, 9, -8, -6, 10, 12],\n [-12, 9, 8, -9, 3, 1, -12, -9],\n [-3, -2, -6, -9, -12, -12, 4, -3],\n [-8, -6, 12, -5, -11, -4, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2075986", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-2, -2, -5, 10, 1, -4, 2, -8],\n [-2, -9, -6, -8, 10, 2, -6, -4],\n [-5, -6, -4, 6, -4, -5, 1, -4],\n [10, -8, 6, -6, -6, -1, -8, -1],\n [1, 10, -4, -6, 3, 5, 4, -6],\n [-4, 2, -5, -1, 5, 9, -6, -7],\n [2, -6, 1, -8, 4, -6, 10, -8],\n [-8, -4, -4, -1, -6, -7, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1332335199", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[9, 9, 9, -11, -2, -3, 10, 0],\n [-6, -3, -9, 9, 7, 3, 7, -7],\n [-4, 0, -6, 5, 1, 9, -8, 9],\n [0, 11, -5, 2, 6, -4, -7, 10],\n [12, 1, 10, -3, -4, 4, 0, 4],\n [6, 0, -4, -12, -12, -8, -5, 5],\n [-9, 9, -12, 2, 7, -9, 12, -4],\n [9, 11, 7, -3, 11, 2, -10, -11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2987082498", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 7) of the 7th power of the matrix:\n[[9, -8, 11, -12, -2, -1, -10, 10],\n [3, 1, -1, 7, 3, 8, -5, 4],\n [4, -6, 2, -4, -9, -5, -3, 2],\n [10, 5, 1, -8, -4, 0, 12, 6],\n [-2, -1, -10, -11, 10, 9, 2, -8],\n [-6, -9, -8, 12, 3, 2, 3, 12],\n [-9, -7, 5, -10, 12, 9, 11, -8],\n [-11, 10, 3, -7, 2, 5, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58643866", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[11, -6, -2, 7, 0, 0, -2, -4],\n [-6, -7, -4, 0, 3, 1, -5, -2],\n [-2, -4, 9, -10, -6, -2, 0, -2],\n [7, 0, -10, 3, 2, 3, -2, -4],\n [0, 3, -6, 2, 9, 1, 0, 4],\n [0, 1, -2, 3, 1, 6, 2, 4],\n [-2, -5, 0, -2, 0, 2, 8, 8],\n [-4, -2, -2, -4, 4, 4, 8, 12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1392875159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[7, -2, -2, 6, -1, -4, 2, -6],\n [-2, -12, -4, -2, 2, -8, 9, 2],\n [-2, -4, 5, -6, -7, 6, 0, -4],\n [6, -2, -6, 5, 0, 4, 8, -2],\n [-1, 2, -7, 0, -9, -3, -2, 8],\n [-4, -8, 6, 4, -3, 5, 0, -3],\n [2, 9, 0, 8, -2, 0, -8, 4],\n [-6, 2, -4, -2, 8, -3, 4, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1080489830", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-12, 4, 6, 10, -5, -4, 9, 0],\n [4, 9, -1, -3, -8, -1, -4, 0],\n [6, -1, -1, 2, 0, 4, -4, 0],\n [10, -3, 2, -4, 4, 8, 2, -8],\n [-5, -8, 0, 4, -2, -6, 8, -4],\n [-4, -1, 4, 8, -6, 4, 0, -4],\n [9, -4, -4, 2, 8, 0, -1, -10],\n [0, 0, 0, -8, -4, -4, -10, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67877906", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[7, 0, 8, -6, 8, -6, -5, -2],\n [0, -11, 1, 9, -2, -2, -4, 3],\n [8, 1, 10, 0, 2, -2, -5, 8],\n [-6, 9, 0, -7, 1, 0, 12, -10],\n [8, -2, 2, 1, 1, -4, -7, -5],\n [-6, -2, -2, 0, -4, 11, 7, -6],\n [-5, -4, -5, 12, -7, 7, -1, -6],\n [-2, 3, 8, -10, -5, -6, -6, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259959960", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (4, 3) of the result:\nA =\n[[1, 4, -6, 3, 9, -1, 3, 4],\n [4, 6, -4, 0, -7, 4, 0, 6],\n [-6, -4, 6, -4, -1, -10, -5, -8],\n [3, 0, -4, 2, -6, -4, -8, 8],\n [9, -7, -1, -6, 4, -2, 2, -2],\n [-1, 4, -10, -4, -2, 3, -8, 1],\n [3, 0, -5, -8, 2, -8, -6, -2],\n [4, 6, -8, 8, -2, 1, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2547859", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 5) of the 7th power of the matrix:\n[[-8, 10, 0, -1, -6, -4, 2, 2],\n [10, -4, -6, 6, 0, -1, -8, -11],\n [0, -6, -7, -8, 4, -8, -2, -2],\n [-1, 6, -8, 10, 1, 2, 1, 2],\n [-6, 0, 4, 1, -8, 7, 6, -2],\n [-4, -1, -8, 2, 7, 2, -8, 5],\n [2, -8, -2, 1, 6, -8, -4, -5],\n [2, -11, -2, 2, -2, 5, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2509292624", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[11, -8, 11, -6, -6, 10, 12, 9],\n [9, -4, 2, -7, 3, -6, 2, 10],\n [-11, -5, -1, -2, -7, 7, 0, 10],\n [3, -5, 4, 0, -9, 7, -3, 12],\n [9, 7, 3, 4, -5, -2, 12, -8],\n [8, 3, 11, -5, 8, 3, -9, -7],\n [8, -5, -4, 0, 4, -4, 0, -4],\n [-7, -3, -8, -6, -2, 11, -4, 12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88087700", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-3, -2, -10, -5, 4, -6, -1, 3],\n [2, 8, 0, 5, 5, 11, -8, 1],\n [-2, -10, 4, 10, -1, -10, 10, -11],\n [-9, 5, 7, 8, 1, -5, -11, 6],\n [-3, -8, -2, -4, 3, -8, 2, 1],\n [-4, 7, -8, 2, -4, -9, 8, 8],\n [-9, 7, 8, 9, -6, 2, 9, 4],\n [5, -6, 6, -3, 0, -11, 9, 7]], determine the value at position (6, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1532429", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-2, -8, -4, -10, -9, -6, -7, 10],\n [-8, -6, -2, 2, 6, -5, 0, 10],\n [-4, -2, 6, 0, 2, -2, -4, -2],\n [-10, 2, 0, -5, -4, -4, 4, 0],\n [-9, 6, 2, -4, 7, -2, 4, 2],\n [-6, -5, -2, -4, -2, 11, 3, 1],\n [-7, 0, -4, 4, 4, 3, 8, 4],\n [10, 10, -2, 0, 2, 1, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888239873", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (8, 3) of the result:\nA =\n[[-11, -11, 5, 4, -4, -5, -11, -11],\n [-8, -1, 3, 1, 7, -11, 11, -5],\n [-9, 7, -4, 7, 12, 6, -11, 3],\n [-2, -5, -1, -10, 0, -11, 0, -5],\n [2, 11, 8, -4, -2, 9, 8, -10],\n [-6, 1, 2, -4, 7, -2, -6, -1],\n [6, 5, 0, -2, -12, -7, 8, -11],\n [0, 0, 6, -4, 6, 10, -12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1271066", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[12, -5, 10, 1, 11, 3, -9, 5],\n [1, -4, 2, -10, -9, 10, 5, 1],\n [2, -5, -3, 11, -1, 8, -4, -5],\n [4, -4, 0, 1, -8, -4, 12, 3],\n [6, 11, 10, -6, -1, -11, 5, 5],\n [3, -2, -11, 1, -9, -6, -11, 8],\n [1, -6, -4, -5, -4, -6, 6, 4],\n [10, 0, -2, 9, 5, 4, 3, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2163942", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, -9, 9, -2, 8, 12, -5, -4],\n [3, -3, 10, -4, -10, 12, -11, -4],\n [0, -7, -9, 1, -2, -11, -10, -8],\n [12, -6, -2, -1, -2, 6, 0, -9],\n [1, -1, -11, -5, 9, 6, 0, 8],\n [8, -12, -8, 9, -2, -2, 0, -11],\n [6, 3, -8, 1, 6, -8, 8, 11],\n [-4, 11, -1, 3, 6, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-801144016", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-10, 4, 0, -4, 0, 3, 6, 1],\n [-5, 9, 6, 12, 11, -10, 10, 8],\n [5, 3, 1, 3, 11, 4, 7, -2],\n [0, -2, -9, 1, -8, -9, -12, 1],\n [-6, -3, -11, -3, -10, 8, -5, -3],\n [-5, 1, 5, -4, 9, -4, -9, -10],\n [1, 1, 8, 3, -8, 7, 10, 11],\n [2, 8, -4, -6, 0, 10, -5, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1063017", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (8, 8) of the result:\nA =\n[[-9, -2, -8, -6, -8, -5, -6, -2],\n [-2, 2, 6, -4, 8, -10, 4, -4],\n [-8, 6, -12, -9, 2, 8, -2, -4],\n [-6, -4, -9, -1, -8, 5, 10, -6],\n [-8, 8, 2, -8, -6, -6, 4, 10],\n [-5, -10, 8, 5, -6, 7, 4, 6],\n [-6, 4, -2, 10, 4, 4, -4, -4],\n [-2, -4, -4, -6, 10, 6, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (7, 1) of the result:\nA =\n[[-8, 9, -4, -12, 2, 11, -9, -6],\n [-7, 2, -7, -6, 7, 9, -10, 8],\n [0, -11, -10, 0, -4, 9, 6, 5],\n [-8, -3, 1, 8, 4, -10, -6, -4],\n [-8, -9, -10, 0, -4, 10, -6, -5],\n [-3, -12, 7, 8, 8, -12, 6, -11],\n [-1, 10, 0, 1, -8, -10, 11, 4],\n [-12, 1, -7, 4, -9, -7, -12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73669825", "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, -7, -1, 6, 6, 0, 5, -1],\n [-7, -7, 4, -2, 0, 6, -4, 7],\n [-1, 4, -9, -2, 0, -3, 6, -2],\n [6, -2, -2, -1, -10, 2, 4, -3],\n [6, 0, 0, -10, -8, 5, 2, 5],\n [0, 6, -3, 2, 5, 12, 4, -3],\n [5, -4, 6, 4, 2, 4, 8, -6],\n [-1, 7, -2, -3, 5, -3, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17380896468", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[10, 0, -2, 8, 5, -4, -5, -6],\n [0, -2, 5, 2, 4, -3, -2, -4],\n [-2, 5, 0, -2, 2, 0, -10, 4],\n [8, 2, -2, 3, 6, -4, 0, 10],\n [5, 4, 2, 6, -8, 0, 2, 11],\n [-4, -3, 0, -4, 0, -10, 4, 4],\n [-5, -2, -10, 0, 2, 4, 8, 6],\n [-6, -4, 4, 10, 11, 4, 6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5998473", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[11, -12, -9, -4, -11, -10, -7, 0],\n [2, -2, -3, -10, 7, -4, 12, -3],\n [8, 10, 12, 11, 10, -1, -5, 8],\n [8, 8, 4, 9, -8, 11, -5, 5],\n [-2, 9, -3, 2, -7, 6, 4, 10],\n [-3, -8, 3, -1, 8, 11, -8, 8],\n [-12, -11, -8, 10, 6, 2, -12, -2],\n [5, -10, -4, 11, -9, 11, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10341720", "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, 8, 8, -4, -6, 8, 10, -4],\n [8, 3, 0, 6, 4, -4, -2, -8],\n [8, 0, -8, 2, -3, 4, 0, 3],\n [-4, 6, 2, -10, 2, 1, -8, 4],\n [-6, 4, -3, 2, 0, 0, 10, -3],\n [8, -4, 4, 1, 0, 8, -3, 4],\n [10, -2, 0, -8, 10, -3, 12, -3],\n [-4, -8, 3, 4, -3, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1810522431", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[2, 3, -8, 4, -2, -4, 4, 4],\n [3, -3, 6, 0, -3, 8, -9, 7],\n [-8, 6, 1, 4, 0, -8, -4, -8],\n [4, 0, 4, -6, 12, 2, -2, 0],\n [-2, -3, 0, 12, 10, 7, -5, 4],\n [-4, 8, -8, 2, 7, 0, -2, -9],\n [4, -9, -4, -2, -5, -2, -5, -7],\n [4, 7, -8, 0, 4, -9, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1881292592", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (2, 1) of the result:\nA =\n[[12, 12, 12, -10, 2, -3, -3, 11],\n [-10, -7, -8, 11, 6, 1, 4, -1],\n [-4, 12, -10, 5, -9, 1, 11, -7],\n [2, 4, 11, -8, -7, 8, -8, 6],\n [1, -9, -8, -2, -11, 9, -11, 7],\n [-1, 3, 4, -9, 1, -6, 2, 3],\n [-5, -11, 6, -12, 10, -9, 11, 8],\n [12, 9, -2, -3, 5, -12, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4396600", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-1, 3, -4, 8, -4, 4, 1, -4],\n [3, 7, -6, -12, -2, -3, 0, 0],\n [-4, -6, 11, -6, -2, 4, -4, -2],\n [8, -12, -6, 12, 0, -4, -2, -4],\n [-4, -2, -2, 0, 7, 5, 0, 4],\n [4, -3, 4, -4, 5, -10, 1, -8],\n [1, 0, -4, -2, 0, 1, -9, 10],\n [-4, 0, -2, -4, 4, -8, 10, -10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1564056996", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-1, 5, 2, 12, 1, -4, -8, 2],\n [-5, 10, -10, -1, -8, -4, 7, -10],\n [10, -5, 8, 0, -5, -8, 12, -6],\n [-8, -4, -8, -5, -1, -9, -4, 9],\n [9, 1, 6, 0, -10, -9, -12, 9],\n [-12, -2, 3, -9, -6, -1, -7, 11],\n [7, -4, -5, 1, 2, 8, 9, -8],\n [2, -7, -12, 7, -4, -9, -11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2862085399", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-11, -10, -6, 7, 4, -4, 9, -4],\n [6, -8, 12, -7, 5, -12, 12, 4],\n [1, 2, -8, 4, 8, 8, 10, 10],\n [-2, -3, 4, 12, -12, -8, 3, -6],\n [-1, -5, 5, -12, 7, -1, -9, -1],\n [9, -12, -12, -10, 8, -1, 9, 8],\n [0, 0, 8, -4, 5, -12, -7, 12],\n [10, 11, -8, -9, -7, -10, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1264512556", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-9, 12, 7, -12, -9, 10, -10, -3],\n [9, -12, -9, 6, -12, 3, 6, 7],\n [8, 9, 5, -11, -7, 8, -12, 6],\n [-8, -11, -12, 3, 12, 8, -11, -9],\n [-10, 10, 4, 2, -3, -1, -1, 7],\n [-6, -3, -8, 7, 7, -2, -11, 11],\n [3, -1, 3, -9, -11, 12, -3, 0],\n [10, 6, 2, 10, -12, 4, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3073033347", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (8, 5) of the result:\nA =\n[[7, -4, -7, -10, 9, -11, 5, 10],\n [6, -6, -10, 5, 7, 7, 6, -4],\n [3, -7, 8, -1, -7, 0, 11, -8],\n [0, 7, -6, -1, 8, -9, -8, 3],\n [-9, -5, 3, -5, 4, 1, -1, -10],\n [7, -11, 0, 8, -2, 11, -1, 5],\n [-4, -6, -7, 11, 1, 5, 1, -8],\n [7, 11, 0, -12, -1, 6, -3, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10099753", "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, 7, -7, -1, 8, -10, 1, 8],\n [-9, 4, 4, 1, 2, -6, -9, 4],\n [-7, -2, -1, 2, -1, -2, 4, -5],\n [-1, -4, -2, -10, -6, 8, -10, 8],\n [3, -3, 10, -6, 12, 11, 7, 2],\n [8, 8, -3, -1, 5, 10, 10, -4],\n [-4, -9, -8, -6, -6, -2, -3, -2],\n [11, 11, 5, -1, 12, 3, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9393921410", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[4, 8, 10, -8, 0, -10, 10, 4],\n [-2, -12, 5, 4, -4, 7, -6, -8],\n [3, -6, 0, 0, 2, 10, 4, 4],\n [6, -3, -11, 1, 10, -10, -6, 12],\n [-2, 4, 2, 6, -2, 2, 2, -7],\n [2, -4, -8, 6, 11, -8, 9, 0],\n [5, 7, 4, 2, 1, 3, -9, 4],\n [7, 1, 5, -7, 9, -5, -4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4742481", "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, 0, -10, -7, 4, -5, -7, 3],\n [-12, -3, 5, 9, 1, 11, -8, 4],\n [1, 5, -9, 7, 10, -11, -6, -6],\n [-6, 0, 6, 9, -7, 7, 4, 12],\n [5, 12, 11, -12, 10, 0, 6, 3],\n [-3, 0, -3, 1, -4, 8, -2, -10],\n [-5, -1, -10, -6, 1, -6, -6, 1],\n [-1, -12, -8, -2, -12, 10, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50128274462", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 7) of the matrix A^5 where A is:\n[[10, 6, -2, -6, -2, -2, 10, -4],\n [6, -1, 0, 2, 0, -2, -2, -6],\n [-2, 0, 12, 0, -2, -2, 9, -2],\n [-6, 2, 0, -6, -4, 4, 2, 2],\n [-2, 0, -2, -4, 12, 3, 4, 5],\n [-2, -2, -2, 4, 3, 4, 6, -1],\n [10, -2, 9, 2, 4, 6, -6, -11],\n [-4, -6, -2, 2, 5, -1, -11, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1146996", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-1, -10, 8, -10, 6, 3, -6, -4],\n [-10, 0, 1, 0, 4, 2, -2, 6],\n [8, 1, -1, -7, -6, 3, 0, -6],\n [-10, 0, -7, -4, -7, 8, 9, 1],\n [6, 4, -6, -7, 0, -9, 2, 2],\n [3, 2, 3, 8, -9, 5, 4, 0],\n [-6, -2, 0, 9, 2, 4, 1, 1],\n [-4, 6, -6, 1, 2, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1000645654", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[2, 6, -8, -8, 4, 5, 10, -7],\n [6, -3, -4, 4, 8, -7, 4, 6],\n [-8, -4, 8, 0, -3, 6, 0, 1],\n [-8, 4, 0, -7, 4, -6, -3, 0],\n [4, 8, -3, 4, 7, 0, 4, -1],\n [5, -7, 6, -6, 0, 12, -2, -10],\n [10, 4, 0, -3, 4, -2, -8, 2],\n [-7, 6, 1, 0, -1, -10, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4474129", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-11, 9, -1, 4, -7, 4, -11, -5],\n [1, -7, -4, -12, -8, -6, -4, 1],\n [-4, -9, 7, 2, -9, -10, 11, 8],\n [10, 9, 1, -4, 6, -7, -10, 5],\n [3, -10, -11, -11, 10, -3, 2, -10],\n [-5, 5, -2, -6, 6, 12, -6, 12],\n [-11, -7, -8, 1, 5, -9, -9, 11],\n [0, 10, 8, 12, -12, 7, -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": "140032885", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-10, -2, 3, 3, -4, 4, -5, 6],\n [-2, -6, -4, 6, 4, -2, -3, 2],\n [3, -4, -8, 0, 9, -1, 0, -5],\n [3, 6, 0, -12, -6, -4, -2, -8],\n [-4, 4, 9, -6, -12, 9, 0, 10],\n [4, -2, -1, -4, 9, -6, 7, 8],\n [-5, -3, 0, -2, 0, 7, 0, -6],\n [6, 2, -5, -8, 10, 8, -6, 10]], determine the value at position (5, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4004631", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 7) of the 6th power of the matrix:\n[[3, -1, 4, 12, 2, 12, -10, -8],\n [0, 11, -7, -4, 6, -6, 0, 9],\n [-8, 3, -9, -8, 7, 6, 10, -7],\n [-9, 12, -12, 4, -4, 3, 10, -11],\n [-2, -8, 0, 7, 4, 12, 2, 9],\n [-1, -7, 7, 0, 5, 11, 2, 2],\n [-5, 6, 10, 1, -6, 1, -8, 2],\n [8, 2, 11, -9, -12, 4, 12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77921244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (5, 4) of the result:\nA =\n[[-12, 0, 0, 8, 0, 3, 2, 0],\n [0, 1, 6, -4, 0, 10, 0, 0],\n [0, 6, -10, -10, 4, -2, 12, -6],\n [8, -4, -10, 10, 0, -4, 5, 0],\n [0, 0, 4, 0, -7, 4, -2, -2],\n [3, 10, -2, -4, 4, 11, 3, 0],\n [2, 0, 12, 5, -2, 3, 0, 12],\n [0, 0, -6, 0, -2, 0, 12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457516", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-4, -10, -7, -10, -12, 9, 8, -10],\n [1, 7, -11, -1, -3, 0, 7, -9],\n [6, 9, -12, 12, -2, 3, 6, 6],\n [-1, -10, 10, 11, 5, 4, -8, 3],\n [11, 1, 6, -7, -10, -7, -1, 7],\n [-2, -6, -12, 3, 3, 4, 2, 8],\n [-4, -8, 7, -5, 8, -12, -6, -2],\n [7, 8, 0, 9, 0, -6, -2, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62443373", "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, -10, -12, -9, -7, -8, -2],\n [7, 10, 0, -2, -7, 6, 12, 2],\n [8, 0, -3, -12, 0, -7, 8, 11],\n [7, -1, 4, 5, 11, -5, 1, -8],\n [9, -11, 12, 9, 12, -2, -10, 9],\n [3, 8, 3, -4, 0, -3, 4, 12],\n [8, 4, -3, -5, -6, 1, 9, 5],\n [8, 6, 5, 1, -3, -12, -4, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124407228620", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[0, 7, 9, 0, 10, -4, 8, -6],\n [7, -4, 0, 8, -10, -8, -1, 2],\n [9, 0, 1, 2, 11, -2, -2, -4],\n [0, 8, 2, 2, 8, 2, 9, -2],\n [10, -10, 11, 8, -3, -2, -9, -10],\n [-4, -8, -2, 2, -2, 9, 6, -6],\n [8, -1, -2, 9, -9, 6, -12, 0],\n [-6, 2, -4, -2, -10, -6, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5068042", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-5, -1, -2, 7, -2, 0, 0, -8],\n [-1, 7, 2, 0, 10, -8, 0, 2],\n [-2, 2, -7, -8, 0, 1, -3, -2],\n [7, 0, -8, 6, -2, 2, -4, 2],\n [-2, 10, 0, -2, 0, 1, -6, 11],\n [0, -8, 1, 2, 1, -4, 2, 0],\n [0, 0, -3, -4, -6, 2, 7, 0],\n [-8, 2, -2, 2, 11, 0, 0, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "867299204", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-10, 11, -7, -6, -4, -8, 3, -11],\n [-10, -10, 7, 10, -3, 9, -10, 2],\n [1, 10, -9, -3, -2, -2, -5, 10],\n [10, -4, -5, -1, 4, 10, 2, 6],\n [7, -7, -8, -5, 5, 8, 8, 2],\n [-10, 1, 2, 0, 8, 7, 8, -4],\n [10, 4, 6, 12, -9, 7, -3, 9],\n [-10, 6, -4, -8, 1, -6, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15636887", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (7, 2) of the result:\nA =\n[[11, 1, -6, 6, 4, 3, -2, 0],\n [1, 9, 2, -1, 10, 2, -2, -4],\n [-6, 2, -8, -4, -4, 2, -8, 4],\n [6, -1, -4, 10, -1, 6, -4, -4],\n [4, 10, -4, -1, -4, -2, 6, 6],\n [3, 2, 2, 6, -2, 3, -4, 8],\n [-2, -2, -8, -4, 6, -4, 5, 4],\n [0, -4, 4, -4, 6, 8, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1380592", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-12, -8, 7, 1, 5, 0, 10, -1],\n [2, 11, -9, -4, -10, 9, -2, 2],\n [3, -6, -6, 9, -4, 4, 0, -4],\n [-4, 7, -1, 8, 6, 10, 2, 5],\n [-5, 12, -7, 12, -7, -10, -10, -11],\n [-8, 7, -1, -7, 3, -8, -7, -9],\n [1, -10, 4, -8, 9, 8, 8, -7],\n [7, -9, 0, -5, -2, 11, 6, 10]], determine the value at position (2, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15674754", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-8, -8, -10, -11, -10, 2, -6, -10],\n [2, -2, 3, 0, -11, 7, -1, 8],\n [-6, -12, 1, 11, -3, -10, -2, 9],\n [7, 8, 2, -7, 5, 0, 2, -10],\n [2, 11, 11, -12, -3, 11, 5, -5],\n [-1, -8, -12, -5, -8, 4, 2, -9],\n [0, 4, 0, 12, -11, 11, -9, 12],\n [-11, -1, 6, 5, -3, -8, -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": "2715040250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-10, 4, 2, 1, 11, 2, 3, -9],\n [6, 11, 12, -5, -7, 3, -10, -5],\n [-8, -8, -1, 12, -12, -6, 11, -2],\n [-3, -10, -5, -12, -5, 10, 7, -2],\n [-6, 3, -6, 0, -3, 4, -10, -6],\n [-2, 0, -8, 12, 10, 6, 2, -12],\n [-8, 0, -3, -8, 10, -12, -3, 5],\n [9, -5, 7, -10, 6, 6, -11, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53394370", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, 8, -3, 8, 3, -8, 7, -10],\n [-10, -11, 8, -9, 9, 5, -11, 11],\n [-7, -10, 8, -10, -11, -10, 4, 1],\n [-6, 9, 8, -7, -5, 6, 6, -1],\n [-8, -8, 1, 4, 3, -9, 12, -5],\n [-10, 8, -8, 10, 11, 12, -6, 5],\n [11, -5, -2, 1, 5, 0, -7, 0],\n [-12, -2, -6, -3, -11, 3, -8, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94550169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[10, -2, 7, -5, -4, 3, -1, -8],\n [-2, -5, 6, 7, -2, -2, 10, -4],\n [7, 6, 3, 6, 4, 5, 6, 2],\n [-5, 7, 6, 4, 6, 1, -10, 2],\n [-4, -2, 4, 6, 9, -4, 0, 4],\n [3, -2, 5, 1, -4, -8, -6, 6],\n [-1, 10, 6, -10, 0, -6, 9, 10],\n [-8, -4, 2, 2, 4, 6, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333067725", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[0, 0, 11, 4, -7, -11, 4, -1],\n [10, -7, -8, -8, 12, -4, 9, -10],\n [10, 7, -8, -6, -1, -6, -3, -5],\n [4, -8, 2, -4, 10, -2, 0, 5],\n [4, 11, -4, -3, -8, -2, 9, 2],\n [-11, 8, 7, 11, 11, 1, -8, 11],\n [-7, 9, 2, -9, -3, 6, -4, 8],\n [-3, -9, 9, -9, -7, -5, 3, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460313921", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[3, -4, 0, -3, 4, 2, 4, 4],\n [-4, -1, -4, -6, 2, -6, 0, -2],\n [0, -4, 7, 4, -3, 2, -4, 4],\n [-3, -6, 4, -5, 2, -8, 7, -6],\n [4, 2, -3, 2, -6, 3, 12, 1],\n [2, -6, 2, -8, 3, 4, 5, 8],\n [4, 0, -4, 7, 12, 5, -12, 0],\n [4, -2, 4, -6, 1, 8, 0, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416956912", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-9, 2, -4, 0, 6, -4, -2, 2],\n [2, 8, 2, 9, 0, 8, 0, -7],\n [-4, 2, -4, 6, 0, 3, 2, -1],\n [0, 9, 6, 9, -1, 4, 4, 2],\n [6, 0, 0, -1, 2, 6, 2, 2],\n [-4, 8, 3, 4, 6, -8, -1, 4],\n [-2, 0, 2, 4, 2, -1, 10, -3],\n [2, -7, -1, 2, 2, 4, -3, -1]], determine the value at position (8, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475363", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 10, 11, 1, 9, -10, 8, 4],\n [0, -5, -1, -1, -1, -11, -3, 10],\n [-4, -12, -9, 10, 1, 3, 12, 5],\n [-11, -7, -10, 7, 6, 0, 4, 1],\n [9, -2, 3, -2, 5, -11, 10, 8],\n [-5, 1, -11, 0, -3, -5, -6, 0],\n [11, 6, 11, 2, 9, -11, 9, -8],\n [6, -12, -6, 5, -12, -12, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135352410", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[12, 0, 0, -4, 4, -2, -6, 5],\n [0, -11, 0, 5, -5, 2, 0, 10],\n [0, 0, -4, 4, 1, 0, -4, -7],\n [-4, 5, 4, 10, -1, -6, 1, 8],\n [4, -5, 1, -1, 12, -4, 3, 10],\n [-2, 2, 0, -6, -4, 5, -6, 2],\n [-6, 0, -4, 1, 3, -6, 11, 0],\n [5, 10, -7, 8, 10, 2, 0, -4]], determine the value at position (7, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21547828", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) of the matrix A^6 where A is:\n[[-5, 4, -3, 10, -1, 2, 2, -2],\n [4, -4, 0, -5, -3, 2, 2, -5],\n [-3, 0, -7, 0, 7, 2, 2, 2],\n [10, -5, 0, 1, -3, -6, -4, 0],\n [-1, -3, 7, -3, -11, 0, 1, 4],\n [2, 2, 2, -6, 0, 8, 0, 5],\n [2, 2, 2, -4, 1, 0, -9, -9],\n [-2, -5, 2, 0, 4, 5, -9, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14905897", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[1, -10, -2, -3, 4, 0, 12, -11],\n [0, 6, -8, 3, -3, -1, 7, 0],\n [8, 3, 9, 8, -12, 9, -4, 3],\n [6, 2, 5, 9, -1, 1, -10, -9],\n [-7, 3, 0, -1, 9, -1, -11, 0],\n [-10, 0, 12, -11, 6, -4, 7, -12],\n [0, -11, 2, 6, 12, 12, 3, -2],\n [2, -7, 1, -7, 6, -8, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1349737866", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-4, 2, 6, 2, -3, 4, -4, -4],\n [2, 5, 4, -2, -1, 2, 0, 0],\n [6, 4, -9, 2, 0, -2, 6, -2],\n [2, -2, 2, 12, -1, 2, 0, 0],\n [-3, -1, 0, -1, 9, 4, -2, -2],\n [4, 2, -2, 2, 4, 11, 0, -1],\n [-4, 0, 6, 0, -2, 0, -5, 0],\n [-4, 0, -2, 0, -2, -1, 0, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198573262", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[6, -3, -1, 1, -7, 8, 11, -4],\n [-6, -7, 9, -12, 8, 1, 11, -7],\n [-1, 4, -8, -2, -8, -1, -10, 11],\n [-4, -7, 9, -11, -11, 9, -1, -5],\n [-11, -4, 3, 12, 2, 1, 7, -9],\n [-9, -2, 8, 11, 5, -8, -11, 2],\n [-2, 11, 4, 3, 2, 10, -10, 7],\n [2, 11, 6, 0, 3, 10, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2090572325", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[3, -4, -8, 0, 0, 0, 6, 9],\n [-4, -1, 4, 6, 0, 3, -3, -6],\n [-8, 4, 5, -1, 0, 0, -8, -4],\n [0, 6, -1, 11, 6, 0, 4, -4],\n [0, 0, 0, 6, 2, 11, 5, -4],\n [0, 3, 0, 0, 11, -8, 7, -3],\n [6, -3, -8, 4, 5, 7, 1, 6],\n [9, -6, -4, -4, -4, -3, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "331752815", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 8) of the 7th power of the matrix:\n[[11, 9, 10, 8, 9, 9, 3, 12],\n [-3, 7, -1, -8, 7, 4, -3, -7],\n [8, 7, -7, -1, 8, 6, -11, 0],\n [9, 7, -2, 2, 0, -10, 1, -5],\n [-4, 2, 10, 5, -5, -2, -8, 2],\n [2, -6, 8, 5, -1, -1, -9, -2],\n [8, -7, 8, -3, 2, -12, 4, -10],\n [12, -2, 5, -3, 8, -4, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "708498764", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-5, -3, -2, -1, -1, 8, 3, 0],\n [-3, 12, -6, 4, -2, -8, -2, 2],\n [-2, -6, 8, 6, 2, 10, 5, 6],\n [-1, 4, 6, 4, -2, 6, 0, 6],\n [-1, -2, 2, -2, -1, 2, -2, 10],\n [8, -8, 10, 6, 2, 5, 0, 6],\n [3, -2, 5, 0, -2, 0, -4, -2],\n [0, 2, 6, 6, 10, 6, -2, -8]], determine the value at position (2, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26227191", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[11, 2, -1, 12, -12, 1, 5, 5],\n [-7, -12, 4, 5, 2, -1, 0, 7],\n [-11, -9, -10, 6, 12, -5, -1, -1],\n [-3, 12, -12, -8, 7, -2, -4, 1],\n [-10, -8, 11, 8, -4, 5, -7, 8],\n [12, -6, 3, -5, 10, -3, -8, -2],\n [8, 0, 7, -11, 1, -4, -3, -3],\n [-3, 6, -2, -2, -10, 6, 11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34183559972", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-12, 1, -5, 2, -6, 8, 1, 3],\n [1, -7, -4, 3, 5, -3, -2, 4],\n [-5, -4, 12, 4, 0, -2, 3, -2],\n [2, 3, 4, 3, 6, 2, -4, -2],\n [-6, 5, 0, 6, 7, 1, 0, -2],\n [8, -3, -2, 2, 1, -5, 8, -10],\n [1, -2, 3, -4, 0, 8, -3, 1],\n [3, 4, -2, -2, -2, -10, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385442156", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[0, -2, 8, 0, -4, -12, 1, -4],\n [-2, 4, 1, -2, -6, -10, -9, 0],\n [8, 1, -5, -6, -8, -6, -6, 0],\n [0, -2, -6, -5, 2, -3, -2, 2],\n [-4, -6, -8, 2, -1, 10, 8, 1],\n [-12, -10, -6, -3, 10, -1, -8, -2],\n [1, -9, -6, -2, 8, -8, -9, 8],\n [-4, 0, 0, 2, 1, -2, 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": "136218995", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 1) of the matrix A^7 where A is:\n[[11, 1, -4, 0, 2, 8, -12, 4],\n [1, -7, 6, -6, 2, -10, 3, -6],\n [-4, 6, -7, 5, -4, -6, -4, -7],\n [0, -6, 5, 12, 1, -6, 6, -11],\n [2, 2, -4, 1, 10, 10, 5, 0],\n [8, -10, -6, -6, 10, 1, -10, 8],\n [-12, 3, -4, 6, 5, -10, -4, 5],\n [4, -6, -7, -11, 0, 8, 5, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6213436651", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[9, 7, -7, -10, -3, -1, -12, 9],\n [3, 4, -3, -1, 6, -5, 10, -5],\n [-3, -3, 5, -3, -6, -9, -12, -2],\n [6, -8, -5, -11, -11, 11, 1, -4],\n [-3, 0, -12, 1, -11, -9, 6, -12],\n [-9, -2, 0, 5, -3, -8, -12, 1],\n [3, 11, 5, -10, -10, -9, -6, 0],\n [-4, -10, 4, 2, -3, 2, -12, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73290514", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 7) of the matrix A^7 where A is:\n[[8, -3, -6, -6, -10, -6, -4, -5],\n [-10, -8, 0, 0, -5, 5, -6, -3],\n [-3, 10, -2, -1, 0, -5, 4, 11],\n [1, 4, 6, 3, -4, 7, -3, -4],\n [-12, 11, -10, -2, -6, 5, 0, 10],\n [10, 12, 5, 3, 11, 3, 8, -3],\n [-4, -5, 6, -10, 11, -4, -11, 6],\n [-5, 5, -5, -8, -7, -3, 2, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95192255", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-10, 8, -2, 3, 6, -4, 1, 0],\n [8, 8, 3, 1, -4, -4, 4, 2],\n [-2, 3, 10, 0, -6, -4, 0, -2],\n [3, 1, 0, -12, 2, 4, 1, 3],\n [6, -4, -6, 2, 3, 4, -4, -7],\n [-4, -4, -4, 4, 4, -1, 5, 0],\n [1, 4, 0, 1, -4, 5, 7, 7],\n [0, 2, -2, 3, -7, 0, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5136380", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 8) of the matrix A^5 where A is:\n[[10, -8, 4, 9, 0, 4, -7, 2],\n [-8, 1, -12, 4, 0, 2, -9, 3],\n [4, -12, -8, 2, -6, 8, -5, 2],\n [9, 4, 2, 5, -5, 4, 1, 7],\n [0, 0, -6, -5, -9, 4, 2, 0],\n [4, 2, 8, 4, 4, 2, -2, 2],\n [-7, -9, -5, 1, 2, -2, 10, 0],\n [2, 3, 2, 7, 0, 2, 0, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800019", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (3, 6) of the result:\nA =\n[[9, -8, 6, 0, 2, -10, -9, 1],\n [-8, -11, -6, 1, 2, 1, -1, -3],\n [6, -6, 6, 4, -2, 10, 2, -2],\n [0, 1, 4, -3, -4, -2, 10, 0],\n [2, 2, -2, -4, -11, 8, 2, 7],\n [-10, 1, 10, -2, 8, -1, -3, -2],\n [-9, -1, 2, 10, 2, -3, -5, 0],\n [1, -3, -2, 0, 7, -2, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24517174", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[7, -4, 0, -1, -5, 2, -10, -3],\n [-4, 2, -7, -6, 6, -2, -2, 8],\n [0, -7, -9, -4, 6, -3, 8, 1],\n [-1, -6, -4, -4, -6, -2, 0, 4],\n [-5, 6, 6, -6, -10, -3, 1, 10],\n [2, -2, -3, -2, -3, 10, 0, 0],\n [-10, -2, 8, 0, 1, 0, -6, 1],\n [-3, 8, 1, 4, 10, 0, 1, -12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58877461", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) of the matrix A^5 where A is:\n[[-10, -1, -4, -11, 1, -8, -10, -1],\n [-1, 8, -6, -12, -10, -2, 0, 9],\n [10, -3, 6, -9, 9, -8, -2, -4],\n [0, 4, 2, 0, 8, -2, -12, -5],\n [10, -8, 9, 3, -9, 12, 6, 5],\n [10, -11, 0, 3, 9, -5, 6, -10],\n [6, 4, -4, 8, 12, 8, 10, 4],\n [12, -12, -9, 10, 2, -1, 12, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-1, 2, -4, 4, 4, 2, -1, 5],\n [2, -8, -6, -5, -6, 4, -2, 7],\n [-4, -6, 8, 5, -2, -5, 0, -6],\n [4, -5, 5, 0, -5, -5, -3, 4],\n [4, -6, -2, -5, -8, -4, 3, -1],\n [2, 4, -5, -5, -4, -5, -6, -10],\n [-1, -2, 0, -3, 3, -6, -12, 7],\n [5, 7, -6, 4, -1, -10, 7, -8]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242834814", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[4, 7, 3, -2, 2, -8, 0, 2],\n [7, 4, -4, 0, 8, 6, -3, 0],\n [3, -4, 10, 4, 2, 2, 0, -7],\n [-2, 0, 4, -1, 1, 6, 0, -9],\n [2, 8, 2, 1, -9, 2, -3, 2],\n [-8, 6, 2, 6, 2, 1, 4, 10],\n [0, -3, 0, 0, -3, 4, -7, -4],\n [2, 0, -7, -9, 2, 10, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95885041", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-8, 10, 6, 0, -8, -7, -6, 3],\n [10, -2, 0, -4, -2, -8, -4, -1],\n [6, 0, -11, 10, 6, -6, 4, 2],\n [0, -4, 10, -7, 2, -4, -9, 8],\n [-8, -2, 6, 2, 12, 8, -1, 0],\n [-7, -8, -6, -4, 8, 6, 0, 2],\n [-6, -4, 4, -9, -1, 0, 6, 5],\n [3, -1, 2, 8, 0, 2, 5, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259266807", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[8, -10, -9, -6, -10, -4, -5, 5],\n [8, 1, 7, -8, -10, -3, -2, 4],\n [-5, -4, -5, 7, -11, -9, 3, -4],\n [-4, 8, -8, -10, 1, 2, -7, 3],\n [10, -3, 1, -1, -4, 10, 6, -1],\n [0, 10, 0, 4, -11, 7, 10, -4],\n [8, -5, -6, -8, 6, -10, 0, -7],\n [-2, -9, -10, -9, -10, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2058106509", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[2, 2, 4, 0, 0, -6, 7, 10],\n [2, 6, -2, 6, -4, 0, -6, -8],\n [4, -2, -6, 0, 8, -4, 6, -5],\n [0, 6, 0, -6, -3, 8, 5, 0],\n [0, -4, 8, -3, 5, -4, 2, -6],\n [-6, 0, -4, 8, -4, 6, -12, 5],\n [7, -6, 6, 5, 2, -12, -1, -10],\n [10, -8, -5, 0, -6, 5, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2324475539", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-9, -1, -5, 10, 10, -3, 10, -12],\n [0, -6, 7, -10, 3, -1, -8, 5],\n [-5, -1, 12, 8, -10, 3, -3, 10],\n [4, -3, -10, 12, -11, 1, -4, 4],\n [-9, 9, 2, 0, 10, 6, -4, -9],\n [8, -5, 2, 1, -10, 11, 4, -5],\n [1, 0, 2, -2, 2, -1, 11, 9],\n [8, -4, 9, 2, -12, -1, -7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "954430306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[9, 0, 7, -3, -4, -2, -2, 0],\n [0, 2, 6, -11, 8, -2, -5, -2],\n [7, 6, -6, 0, 2, -4, -2, 0],\n [-3, -11, 0, 1, 0, 4, -1, 0],\n [-4, 8, 2, 0, 3, -11, -4, -4],\n [-2, -2, -4, 4, -11, -5, -2, 4],\n [-2, -5, -2, -1, -4, -2, 5, 2],\n [0, -2, 0, 0, -4, 4, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24607003015", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[9, -12, 12, 9, 9, -4, -8, -2],\n [9, 9, 10, 12, 8, 8, -9, 7],\n [3, 11, 5, -5, -11, 4, -3, 0],\n [2, -4, -5, -7, -9, 5, 11, -10],\n [-9, 8, 0, 7, -2, -5, 12, 1],\n [1, 3, 1, -12, -11, 7, -12, -2],\n [-7, 2, -1, -8, 10, -1, 9, 1],\n [1, 6, -8, -10, 12, 5, -7, -4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34908029", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-6, 4, -4, 0, -2, -5, -3, -8],\n [4, -5, 6, -8, -10, 10, 2, -1],\n [-4, 6, -12, -5, -4, 4, -2, -6],\n [0, -8, -5, 12, 4, 6, 0, -8],\n [-2, -10, -4, 4, -5, 6, 6, -1],\n [-5, 10, 4, 6, 6, -5, 0, -6],\n [-3, 2, -2, 0, 6, 0, -9, -5],\n [-8, -1, -6, -8, -1, -6, -5, -4]], determine the value at position (4, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1389564", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^5 where A is:\n[[-11, -9, -3, 8, 8, -8, 0, 6],\n [-9, -12, 6, 4, -4, 2, -6, -4],\n [-3, 6, 3, 4, 4, -4, 6, -2],\n [8, 4, 4, -11, 0, 1, 1, -8],\n [8, -4, 4, 0, 12, 1, 2, -8],\n [-8, 2, -4, 1, 1, -3, -1, -6],\n [0, -6, 6, 1, 2, -1, -8, -3],\n [6, -4, -2, -8, -8, -6, -3, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5916668", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-11, 12, -5, -1, 9, -4, -2, 6],\n [7, 10, 4, 0, -12, -12, -5, 0],\n [-7, -10, 3, -3, -6, 9, 8, -10],\n [1, 3, -9, 0, -12, 12, -8, 5],\n [-1, -2, -4, -6, 1, 11, -10, 3],\n [-6, -12, -7, -7, -3, -1, 9, 6],\n [-7, 1, -10, -3, -4, 10, 7, 6],\n [9, 2, -4, 6, -5, 9, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-693662157", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[6, 6, 5, 1, 6, 0, -6, 4],\n [6, -8, -4, -4, 5, -4, 2, -10],\n [5, -4, 3, 10, 1, 4, 0, -3],\n [1, -4, 10, 2, 5, -2, 2, -4],\n [6, 5, 1, 5, -7, 4, -4, -3],\n [0, -4, 4, -2, 4, 12, 0, 5],\n [-6, 2, 0, 2, -4, 0, 8, -2],\n [4, -10, -3, -4, -3, 5, -2, -9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339774783", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-12, -3, 12, -8, -8, -4, 1, 8],\n [0, 0, 11, -12, 4, 7, -5, -10],\n [4, -1, 12, 12, 12, 12, 5, 1],\n [-2, 3, -9, 5, -6, -2, 3, 3],\n [-10, 12, 10, 11, -4, -5, -6, 12],\n [4, -2, -9, -9, -8, -5, -3, 4],\n [-7, -4, -3, -5, 2, 5, 10, -8],\n [5, -12, -11, -3, -7, 11, 6, 8]], determine the value at position (8, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15827539", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-2, 2, 8, -4, -10, 0, -2, 2],\n [2, 9, -6, -6, 6, 4, 2, -2],\n [8, -6, 8, -2, 11, -5, 6, 4],\n [-4, -6, -2, 5, 8, 0, 4, 2],\n [-10, 6, 11, 8, -7, 2, 4, 0],\n [0, 4, -5, 0, 2, 3, 4, 2],\n [-2, 2, 6, 4, 4, 4, -4, 2],\n [2, -2, 4, 2, 0, 2, 2, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1308974089", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (3, 5) of the result:\nA =\n[[-1, 1, -3, -4, 6, 4, -8, -10],\n [1, 3, -2, -6, 5, 6, 2, -4],\n [-3, -2, -1, -6, -11, 4, 0, 0],\n [-4, -6, -6, -11, 2, 4, -8, -2],\n [6, 5, -11, 2, -6, 1, 10, -2],\n [4, 6, 4, 4, 1, 4, 0, 10],\n [-8, 2, 0, -8, 10, 0, -11, 2],\n [-10, -4, 0, -2, -2, 10, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4729857", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[1, 11, -8, 3, -8, 9, 0, 3],\n [2, -8, 8, 10, -7, 0, 3, -3],\n [-11, 0, 4, -12, -9, 5, -7, -1],\n [12, 11, 7, 0, -11, 4, 10, -3],\n [6, 9, -8, 8, -1, 5, -4, -2],\n [-9, -3, -12, -11, -4, 10, 5, 3],\n [10, 1, -9, -11, -1, 7, -8, -9],\n [2, -10, 9, 4, -5, -1, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209447251", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[7, 8, -2, 7, -8, -6, 8, 0],\n [8, 5, -4, 2, -6, -1, 0, 6],\n [-2, -4, 1, 4, 10, 5, 2, -3],\n [7, 2, 4, -5, -2, 2, -2, 4],\n [-8, -6, 10, -2, -6, -6, 0, 4],\n [-6, -1, 5, 2, -6, 0, 1, 2],\n [8, 0, 2, -2, 0, 1, -8, -8],\n [0, 6, -3, 4, 4, 2, -8, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3105992", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, 0, -9, 10, 5, 5, 9, -4],\n [-10, -6, 2, -4, -4, -9, 5, 4],\n [9, 8, -7, -6, 12, -3, -3, -7],\n [-7, 6, -5, -4, -12, 3, -7, 10],\n [-5, 2, -1, -3, 3, 2, -2, 11],\n [-6, -5, -2, -4, -6, 2, 2, 3],\n [-10, 3, 2, 12, -12, 1, 11, 9],\n [-2, -10, -4, -7, 10, 3, -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": "7658843017", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[4, 4, -10, 6, 11, 10, 2, -3],\n [-5, 4, -9, -5, -11, 10, -5, 12],\n [-6, -4, 5, 4, -12, -1, -9, 4],\n [-6, 11, -10, -12, 6, -11, -7, -2],\n [10, 12, 8, -9, -12, -2, 3, -7],\n [-2, -5, 7, -12, 1, 8, 8, -11],\n [-7, -4, 1, 9, -5, -10, -3, 5],\n [7, -4, -4, 6, 0, -12, 4, -9]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11567363559", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-9, 3, 3, 2, -7, -8, 9, -3],\n [-6, -6, -3, -3, 12, 2, -7, 11],\n [-11, -5, 12, 7, 2, 8, 8, 5],\n [-8, 12, -9, -3, 6, 1, 10, 11],\n [0, -3, 9, -7, 0, 8, -2, 9],\n [12, 2, -11, 2, 6, 4, 7, 5],\n [-7, 2, 4, 11, 9, -4, -1, 9],\n [10, -8, 1, 11, -5, 12, 9, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28636905", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-4, 0, 6, -8, 4, 1, 3, -4],\n [0, 10, 0, 8, 2, -2, 2, 0],\n [6, 0, -3, -5, -3, 8, 0, 6],\n [-8, 8, -5, 0, -11, -8, -5, 7],\n [4, 2, -3, -11, 12, -2, 0, -10],\n [1, -2, 8, -8, -2, -9, 8, -2],\n [3, 2, 0, -5, 0, 8, -6, -4],\n [-4, 0, 6, 7, -10, -2, -4, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2628289", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[12, 0, 8, -3, -3, 8, -6, 5],\n [0, 5, 2, 2, 2, 2, 8, 3],\n [8, 2, -9, -6, 4, -2, 2, 6],\n [-3, 2, -6, -1, 6, 2, -4, 8],\n [-3, 2, 4, 6, -3, 6, 2, -2],\n [8, 2, -2, 2, 6, -8, 2, -2],\n [-6, 8, 2, -4, 2, 2, 6, 8],\n [5, 3, 6, 8, -2, -2, 8, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10374436196", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[5, 2, 2, -1, -4, 6, -1, 10],\n [-8, 8, 7, -3, 9, -6, 10, -2],\n [-5, 8, -6, 3, 3, 1, 2, 7],\n [-4, 3, 3, -8, -10, 8, 12, 0],\n [-5, 4, -8, -7, -11, 9, 1, 12],\n [-9, -10, -4, 5, -1, -4, 5, 0],\n [1, -3, -10, -6, 5, 3, 4, 12],\n [-7, 12, -1, 6, -10, -10, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51217923", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-7, 8, -5, 0, -2, 1, 8, 2],\n [8, -10, 3, 2, 6, -2, 2, 2],\n [-5, 3, -8, -2, -4, 0, 2, 5],\n [0, 2, -2, -7, 11, -2, 4, 6],\n [-2, 6, -4, 11, 4, 2, 6, -8],\n [1, -2, 0, -2, 2, 9, -6, 1],\n [8, 2, 2, 4, 6, -6, 0, 0],\n [2, 2, 5, 6, -8, 1, 0, -5]], determine the value at position (8, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24167184", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, 2, 7, -4, -2, -4, 0, 10],\n [2, -4, -2, -6, 7, 2, -6, 4],\n [7, -2, 12, 4, -4, -8, 6, 12],\n [-4, -6, 4, 8, 0, 0, -8, -11],\n [-2, 7, -4, 0, -11, -6, -8, 12],\n [-4, 2, -8, 0, -6, -6, -2, -3],\n [0, -6, 6, -8, -8, -2, 2, 4],\n [10, 4, 12, -11, 12, -3, 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": "326261600625", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^5 where A is:\n[[0, 10, 9, 4, 8, 3, 4, -12],\n [3, -7, -5, -12, -11, 2, -8, 11],\n [7, 2, 8, -3, -8, -10, -7, 8],\n [2, 5, 1, -3, -9, -2, 7, -6],\n [2, 10, -4, 2, -1, 5, -7, 5],\n [12, 5, 9, 11, -7, 2, 6, -8],\n [-9, 4, 8, -3, -1, -8, -6, -1],\n [10, -11, 7, 4, 0, -8, -8, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-919302", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-1, -1, -6, -7, -3, 6, 3, -11],\n [-9, -4, -8, -12, -2, 6, 12, 10],\n [-10, -12, -9, -4, 3, -6, -8, 0],\n [-2, 1, 9, 4, 10, -1, 8, 10],\n [8, 8, 6, -8, 11, -5, -11, 4],\n [-11, 10, -10, 11, 7, 11, 5, 2],\n [-8, 9, 4, 1, -12, 1, -4, -8],\n [-9, -12, -10, 7, -2, 3, -2, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46630686", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (8, 2) of the result:\nA =\n[[-3, -1, -8, -3, 11, 0, 6, -6],\n [3, -7, -3, -3, -2, 9, -3, 12],\n [1, 2, -6, 0, -2, -6, -2, 1],\n [4, 3, -12, -4, -4, -3, 6, 2],\n [3, -2, 11, 12, 4, 6, 0, -7],\n [2, 3, -9, -5, 12, -6, 4, 3],\n [-11, 4, 12, -9, 1, -5, -8, -8],\n [-8, -8, -10, -7, -12, -5, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2589806", "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, 3, 0, -8, -2, -1, 2],\n [1, -12, 4, 2, 2, 2, -6, -4],\n [3, 4, -8, -4, -3, -10, 1, 6],\n [0, 2, -4, -9, 6, 12, 2, 2],\n [-8, 2, -3, 6, 6, -8, -1, -3],\n [-2, 2, -10, 12, -8, 6, -4, 9],\n [-1, -6, 1, 2, -1, -4, 2, 4],\n [2, -4, 6, 2, -3, 9, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30224664407", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-7, 8, -2, -6, 1, -2, -6, 3],\n [8, -2, 5, 10, -4, 8, 0, 3],\n [-2, 5, -6, 1, 0, 2, 3, -2],\n [-6, 10, 1, 5, -4, 4, 4, 2],\n [1, -4, 0, -4, -3, 0, 4, -10],\n [-2, 8, 2, 4, 0, -1, 10, 2],\n [-6, 0, 3, 4, 4, 10, 11, 2],\n [3, 3, -2, 2, -10, 2, 2, 6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21179740542", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (4, 5) of the result:\nA =\n[[10, -8, 11, -7, 9, -6, 10, -9],\n [3, -3, 2, 0, -5, 9, 0, 11],\n [-6, 4, -9, -6, 3, 12, -11, 8],\n [12, 12, 9, 10, 12, 1, 1, -5],\n [-7, 9, -6, -6, -11, 12, -9, 0],\n [-3, -4, 2, -1, -3, 6, 8, -8],\n [-6, 7, -2, 3, 0, -9, 3, 0],\n [-12, 9, -9, 2, 8, 12, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23724926", "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, -6, 10, 0, -4, 4, 6, -9],\n [-6, -3, -4, 4, 0, -8, 0, 4],\n [10, -4, 10, 4, 3, 3, 6, 8],\n [0, 4, 4, 7, 8, 2, 10, 1],\n [-4, 0, 3, 8, -7, -4, 1, -4],\n [4, -8, 3, 2, -4, 6, 1, 5],\n [6, 0, 6, 10, 1, 1, -8, 1],\n [-9, 4, 8, 1, -4, 5, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1866653418", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-1, -2, 1, 1, -8, -2, -2, -1],\n [-2, -3, -6, 10, -2, 4, 5, -6],\n [1, -6, 4, 4, 8, 3, 0, 1],\n [1, 10, 4, 1, -8, -6, -8, 6],\n [-8, -2, 8, -8, -3, -6, 0, 1],\n [-2, 4, 3, -6, -6, 6, -4, 8],\n [-2, 5, 0, -8, 0, -4, 10, -6],\n [-1, -6, 1, 6, 1, 8, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3178391", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the 7th power of the matrix:\n[[-6, -2, -5, 8, 4, -10, -7, 0],\n [-2, -6, 8, 10, 0, 6, -4, 6],\n [-5, 8, 10, -4, -2, -6, 6, 4],\n [8, 10, -4, -11, 4, 10, 8, -1],\n [4, 0, -2, 4, 0, 2, 8, -6],\n [-10, 6, -6, 10, 2, 6, -2, -6],\n [-7, -4, 6, 8, 8, -2, 7, -9],\n [0, 6, 4, -1, -6, -6, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92329090", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-10, 2, 4, 5, -5, 10, 0, -3],\n [-10, 7, 1, 0, -10, 0, 7, 11],\n [12, 10, -4, 12, 3, 10, 10, -5],\n [-1, -1, 6, 11, 4, 2, 9, 5],\n [-6, 0, 6, 3, -2, -8, -11, -12],\n [3, -8, 12, 12, -6, -4, -9, 6],\n [7, 2, -6, 11, 5, -8, 8, 12],\n [0, -10, -7, -1, 8, 5, 5, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20022377", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) of the matrix A^7 where A is:\n[[7, 8, -2, -5, 0, -6, 8, 0],\n [8, -8, -5, -4, -2, 0, -2, -2],\n [-2, -5, 10, 0, 11, -2, 1, 4],\n [-5, -4, 0, 11, 0, 7, -8, -2],\n [0, -2, 11, 0, 12, 8, -2, -4],\n [-6, 0, -2, 7, 8, -12, -10, 4],\n [8, -2, 1, -8, -2, -10, -2, -8],\n [0, -2, 4, -2, -4, 4, -8, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1252155206", "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[[0, 0, -4, 6, -1, -1, -9, 0],\n [0, 5, 2, -6, 3, -2, 4, 5],\n [-4, 2, 9, 10, -4, -2, 1, -2],\n [6, -6, 10, -7, -8, -7, -6, -1],\n [-1, 3, -4, -8, -4, 0, -4, 1],\n [-1, -2, -2, -7, 0, 10, -3, -2],\n [-9, 4, 1, -6, -4, -3, -3, 8],\n [0, 5, -2, -1, 1, -2, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11924694361", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-6, 5, -3, -11, 0, -7, 10, -4],\n [7, -5, -3, 3, 2, 0, 5, -7],\n [7, 11, -4, 5, -6, 10, 11, -8],\n [-2, 0, -10, -12, -9, 6, 5, -7],\n [10, -3, -6, -1, -5, 0, 5, 1],\n [-2, -3, -7, 0, 9, -3, -1, -12],\n [5, 0, 12, 11, -9, -7, 5, -8],\n [5, -8, -6, 10, -4, -10, -1, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290804336", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[12, 1, -5, -1, -6, 11, -4, -1],\n [-9, -8, -4, -6, 1, 7, 9, 4],\n [-12, 12, 2, 11, 2, -12, 2, -11],\n [-9, 4, 3, 5, 8, 3, -5, -7],\n [9, 7, -11, 6, 0, 9, 9, 8],\n [-7, -7, 0, -12, 9, 8, 11, -4],\n [9, -1, -1, -9, 6, 3, -1, -12],\n [10, 8, -9, -4, -6, -3, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1111554376", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[7, -3, -3, -5, 7, 2, -12, 2],\n [11, 4, 0, -1, -10, 10, 6, 11],\n [-8, -10, 8, -8, 11, -4, -7, 3],\n [-3, 3, -10, 5, -2, 6, 12, 10],\n [2, -2, 12, 9, 11, -3, -4, -10],\n [10, -4, 5, -1, 10, 8, 11, 3],\n [-9, -12, 0, -5, -7, -5, 6, 11],\n [11, -1, -12, -9, 10, 0, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37363522904", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[6, 4, 2, -1, 1, -4, -2, 6],\n [4, 2, 0, -2, 2, 1, -4, -4],\n [2, 0, -10, 2, -2, 10, -5, 0],\n [-1, -2, 2, -1, 10, 2, 2, -2],\n [1, 2, -2, 10, 3, 0, -8, -2],\n [-4, 1, 10, 2, 0, 11, -7, 3],\n [-2, -4, -5, 2, -8, -7, 11, 0],\n [6, -4, 0, -2, -2, 3, 0, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149870263", "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, -8, 8, 6, 2, -2, 0, -2],\n [-8, 9, -5, 0, -1, 1, -5, -8],\n [8, -5, -10, 0, -4, 4, 8, -2],\n [6, 0, 0, 7, 1, 0, 2, -1],\n [2, -1, -4, 1, 9, 0, 2, 2],\n [-2, 1, 4, 0, 0, 5, -12, -10],\n [0, -5, 8, 2, 2, -12, 4, 0],\n [-2, -8, -2, -1, 2, -10, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1524186392", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[9, -7, 11, -5, 12, 4, -3, 11],\n [-8, 6, -2, -3, -10, 9, 11, -3],\n [-11, -4, -8, 8, 4, -7, -2, -8],\n [-6, -6, -9, 8, -3, 11, 5, -12],\n [1, -7, -2, 1, 7, -10, 3, 3],\n [-6, -5, -9, -1, -1, -3, -1, -2],\n [-2, 2, -7, -2, -11, 11, 9, -4],\n [-2, 3, 0, 0, 9, 9, 5, 8]], determine the value at position (5, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9488607", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[12, -4, 6, 4, 8, 8, 0, -8],\n [-4, 2, -11, -1, 2, 0, 7, 0],\n [6, -11, 3, 4, 2, 1, 10, 0],\n [4, -1, 4, 7, -12, 8, 4, 6],\n [8, 2, 2, -12, -10, 4, 2, 0],\n [8, 0, 1, 8, 4, -2, 3, 4],\n [0, 7, 10, 4, 2, 3, 7, 2],\n [-8, 0, 0, 6, 0, 4, 2, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52341430", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-8, -2, 8, 2, -6, -6, -2, 2],\n [-2, 1, -6, 10, -4, 6, -6, -4],\n [8, -6, -12, -2, 9, 0, 0, 0],\n [2, 10, -2, -12, -2, 2, 0, -3],\n [-6, -4, 9, -2, -10, 1, -10, 1],\n [-6, 6, 0, 2, 1, -10, -4, 3],\n [-2, -6, 0, 0, -10, -4, 5, -5],\n [2, -4, 0, -3, 1, 3, -5, -7]], determine the value at position (7, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511495", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-6, -11, 11, 0, -3, 3, -4, -5],\n [12, 2, 9, -6, 9, 10, 6, -9],\n [-4, 6, -11, -6, 9, 6, -7, 2],\n [-6, -7, -12, 1, -12, 12, -7, 5],\n [4, -11, -5, 8, 10, 10, -11, 3],\n [-9, -11, 10, -8, 4, -11, 9, 1],\n [7, -6, 2, 5, 0, -1, -11, -1],\n [-7, 11, -12, 8, -12, 2, 3, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1377719611", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 8) of the matrix A^6 where A is:\n[[-6, 4, 2, 0, -2, 5, 0, 6],\n [4, 8, 0, -8, 0, -6, 0, 5],\n [2, 0, -5, 8, 5, 3, -6, -2],\n [0, -8, 8, -1, 0, 4, 0, 0],\n [-2, 0, 5, 0, 8, 4, -2, 0],\n [5, -6, 3, 4, 4, -8, -4, 10],\n [0, 0, -6, 0, -2, -4, -12, -6],\n [6, 5, -2, 0, 0, 10, -6, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9450240", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-1, -3, -5, 7, 6, -6, 1, -9],\n [-12, -5, -8, -5, -5, 8, 11, -6],\n [6, -9, 10, 7, -7, -1, 5, -1],\n [5, -10, -3, -6, -10, 6, 0, -9],\n [-3, -7, -12, -7, -5, 2, -5, 9],\n [-7, 6, 1, -11, -6, -5, -3, 0],\n [9, 8, 7, -12, -4, -3, 7, -11],\n [7, -2, -8, 5, -6, -10, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2156858", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-5, 7, -8, -10, -8, -4, 3, 1],\n [5, -6, 2, -5, -10, -2, 7, 5],\n [2, -3, 12, -10, 2, 12, 10, -7],\n [-2, -2, 6, 10, -10, 0, 9, -5],\n [8, -2, -2, 0, -10, -7, 11, -3],\n [6, -1, 1, -2, 8, 12, -3, -10],\n [0, 5, 0, 11, 1, 1, -6, -1],\n [12, -9, 3, 6, -3, 3, -8, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1841690", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-12, -8, 4, -5, -10, 2, 4, -7],\n [-8, 2, -6, -4, 5, -4, -8, 0],\n [4, -6, -9, 8, 8, 2, 0, 2],\n [-5, -4, 8, 8, 10, -2, 3, 4],\n [-10, 5, 8, 10, 8, -8, 2, 10],\n [2, -4, 2, -2, -8, 1, -7, 3],\n [4, -8, 0, 3, 2, -7, -4, 2],\n [-7, 0, 2, 4, 10, 3, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142675533", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-5, 1, -10, 3, 5, 11, 4, 5],\n [-3, 4, 3, 8, 11, -11, 7, -9],\n [-2, -6, 4, 12, 6, -7, -3, 8],\n [-9, 12, 12, -12, -6, 12, 8, 3],\n [4, 11, -8, 9, 10, -3, -6, 0],\n [-6, 2, 4, 10, -10, -8, -3, -8],\n [11, -6, -6, 9, 10, 1, 10, 2],\n [-8, -8, -9, 7, 8, -4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155141367477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (6, 5) of the result:\nA =\n[[9, 2, -8, -4, 6, 2, 4, -2],\n [2, -10, -6, -8, 1, -10, -4, 2],\n [-8, -6, -10, 6, 3, -2, -6, -1],\n [-4, -8, 6, -11, 4, 6, -3, -2],\n [6, 1, 3, 4, 7, 8, 4, 4],\n [2, -10, -2, 6, 8, -3, 8, -1],\n [4, -4, -6, -3, 4, 8, -11, -5],\n [-2, 2, -1, -2, 4, -1, -5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1302249", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[5, 12, -3, -5, 10, -5, -2, -1],\n [12, 1, -4, 2, -5, 4, -1, -6],\n [-3, -4, -1, -6, 6, -6, 7, 6],\n [-5, 2, -6, -10, 2, 5, -8, 0],\n [10, -5, 6, 2, -2, 5, 2, -3],\n [-5, 4, -6, 5, 5, -9, -5, 1],\n [-2, -1, 7, -8, 2, -5, -5, 8],\n [-1, -6, 6, 0, -3, 1, 8, -6]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1598816185", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (4, 7) of the result:\nA =\n[[12, -5, 1, -10, -6, 8, -2, -8],\n [-5, -6, 6, -7, -1, -2, 5, -11],\n [1, 6, 2, -1, -4, -4, 6, 6],\n [-10, -7, -1, -8, 1, 6, 0, -6],\n [-6, -1, -4, 1, 11, -10, 0, 1],\n [8, -2, -4, 6, -10, 8, 6, 2],\n [-2, 5, 6, 0, 0, 6, -7, -8],\n [-8, -11, 6, -6, 1, 2, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1795293042", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-4, -10, 5, 3, 8, -12, 8, 7],\n [3, -1, -7, 8, -4, 8, 0, 11],\n [-1, 0, 5, 6, 6, 6, -7, 3],\n [-6, -6, 10, 6, 3, 4, 9, 6],\n [3, 3, 6, 2, -10, 2, 12, 3],\n [7, -8, 6, -3, 0, 2, -1, 4],\n [2, -9, 2, 4, -2, 10, 10, 2],\n [7, 8, -6, 0, 9, 0, 7, 7]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21787019", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (4, 8) of the result:\nA =\n[[-11, -3, 5, 7, -8, 7, 6, -11],\n [-9, 3, 8, 3, 4, 2, 0, -12],\n [9, -8, 7, -12, -1, 10, 2, -9],\n [6, 3, 10, 5, 4, -2, 7, 0],\n [11, 9, -4, 4, 4, -8, 9, -5],\n [-10, -7, -10, -5, -1, -9, -11, 12],\n [-3, 2, 0, 11, 2, 9, 6, 5],\n [0, 7, 7, -12, 12, 3, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1464712", "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, -10, 7, 3, -11, 10, -11, 2],\n [-3, -12, 9, 7, 2, 11, -12, 12],\n [9, 3, 5, 11, -8, 8, -8, 10],\n [10, -3, 10, -1, -3, -11, 11, -12],\n [3, 5, -6, -9, -3, -3, 12, -2],\n [12, -10, 1, 0, 6, 12, -3, 2],\n [-5, 4, -7, -6, 1, -5, -1, 5],\n [1, -12, -9, 4, 5, 6, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41130625637", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-5, 12, -3, 2, -12, -1, -1, -2],\n [12, -7, -2, -4, -4, -2, 2, -5],\n [-3, -2, -6, -2, 6, 8, 2, 10],\n [2, -4, -2, -10, -2, -6, 0, -1],\n [-12, -4, 6, -2, 4, -3, -6, -10],\n [-1, -2, 8, -6, -3, 8, -3, -3],\n [-1, 2, 2, 0, -6, -3, -12, 2],\n [-2, -5, 10, -1, -10, -3, 2, -8]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20229482677", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -4, -8, -5, 5, -10, -7],\n [-2, 10, 1, 11, 6, -6, 11, -3],\n [2, -7, 7, -7, 3, -4, 6, 5],\n [-8, 3, -6, 6, -8, 7, -2, 10],\n [5, -6, 5, -10, -8, 10, 0, 3],\n [9, -1, -6, 9, 0, -12, 2, 8],\n [-1, 4, 10, 7, -8, 4, 11, 2],\n [7, 6, -12, -9, -10, -5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89759236", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-8, -4, -12, 10, -2, -6, 9, 7],\n [12, 1, -10, -2, 4, 5, 6, 5],\n [-7, 2, -6, -8, -8, -6, 9, -1],\n [-5, 12, 5, 5, 4, 10, -2, 2],\n [7, 12, -7, -1, 10, -6, -5, -9],\n [-10, -10, -3, 11, 2, 0, 6, -5],\n [5, -8, 8, -6, -8, 12, 6, 12],\n [4, 6, -9, 9, 11, -6, 11, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131321964", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-7, -4, 6, 2, 6, -6, 0, 0],\n [-4, 7, 4, 8, -2, 0, 0, -4],\n [6, 4, -1, -4, -4, -2, 7, 1],\n [2, 8, -4, -11, 4, -8, -1, 2],\n [6, -2, -4, 4, 2, -1, 6, 4],\n [-6, 0, -2, -8, -1, 5, -11, 2],\n [0, 0, 7, -1, 6, -11, -6, 6],\n [0, -4, 1, 2, 4, 2, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40086023", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-3, -1, -5, 10, 1, -11, 4, -7],\n [-5, -12, -10, 2, 4, 12, -6, 1],\n [11, 12, -10, 5, 9, -8, 7, 9],\n [2, -7, -10, 5, 12, 11, 7, 9],\n [-10, -5, 6, 5, 2, 10, 1, 3],\n [-10, 12, 2, 6, -5, -11, 12, 4],\n [-1, 6, -2, 5, 0, 1, -1, 2],\n [10, 8, -5, -11, -5, 10, -8, -11]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1467222", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-3, 6, 2, -2, -6, -4, -6, 2],\n [6, 5, 6, 0, -8, 10, 1, 10],\n [2, 6, 6, -11, 5, 0, -7, 0],\n [-2, 0, -11, -9, 0, -6, 4, 2],\n [-6, -8, 5, 0, 12, -6, 4, 8],\n [-4, 10, 0, -6, -6, -7, 7, -6],\n [-6, 1, -7, 4, 4, 7, -8, 2],\n [2, 10, 0, 2, 8, -6, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5252844465", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (8, 4) of the result:\nA =\n[[-3, -3, 6, -6, 4, -2, -2, 2],\n [-3, -1, 6, 4, 0, 6, 0, -4],\n [6, 6, -1, -2, 9, -8, 2, 10],\n [-6, 4, -2, 8, 0, -2, 5, -1],\n [4, 0, 9, 0, 5, 12, 4, -4],\n [-2, 6, -8, -2, 12, -12, 0, 10],\n [-2, 0, 2, 5, 4, 0, 7, 2],\n [2, -4, 10, -1, -4, 10, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1254531136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-9, 11, 12, -6, 7, 10, 9, -10],\n [-3, -10, -12, 1, 0, -8, -5, -1],\n [-7, 11, 10, -11, 11, -9, -8, -2],\n [0, -5, 8, -8, -7, 2, 10, 12],\n [3, -2, -6, -7, -1, -9, 1, -2],\n [-1, -11, -2, 0, -2, -4, 8, 3],\n [-8, -1, -10, 3, 6, 4, -2, 8],\n [6, 5, -4, 0, -7, -10, 10, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15650728", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-4, 0, 4, -9, 0, 6, -2, 4],\n [0, 1, 9, 4, 6, 0, -8, 4],\n [4, 9, 3, 0, 0, 0, 1, 8],\n [-9, 4, 0, 0, 2, -2, -4, 1],\n [0, 6, 0, 2, -11, -1, 1, 4],\n [6, 0, 0, -2, -1, -6, 4, 4],\n [-2, -8, 1, -4, 1, 4, 1, -8],\n [4, 4, 8, 1, 4, 4, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "808745643", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^6 where A is:\n[[-12, 6, 2, 8, -5, -4, 0, -1],\n [-4, 7, 11, -2, -8, 6, 8, 5],\n [-2, -2, -7, -12, 9, 8, -4, -6],\n [-7, 10, -3, -8, -12, 2, 12, -8],\n [7, -7, -8, 4, 5, -9, 11, 8],\n [10, -11, -5, -8, -9, 12, 9, 1],\n [-9, -5, -10, 1, 5, 10, -1, 2],\n [7, 7, -4, -11, -12, 2, 10, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25998138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-5, -10, -11, -9, 5, -1, 5, 8],\n [-3, 8, -5, 12, 5, 4, 6, -7],\n [1, -8, -5, -5, 5, -4, 1, 1],\n [7, 1, 4, -11, 1, 9, 8, -1],\n [10, 12, 3, 9, -7, 5, -6, -11],\n [0, 10, -5, -1, -12, -4, -5, -4],\n [-8, 0, 1, -9, 4, -4, 7, 2],\n [7, -9, -11, 0, -9, 5, 11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11883282686", "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, -11, 1, -11, 5, -12, 0],\n [-7, 9, 4, 4, 9, -2, -7, 7],\n [-10, 1, 12, -7, 4, -10, 4, 6],\n [5, -8, 2, -10, 10, -5, -6, 5],\n [-3, 10, -3, 6, 10, -12, -11, -12],\n [-4, 2, 5, 5, 9, -6, 1, 5],\n [7, 6, -8, -4, 5, 0, -8, 11],\n [9, 7, 2, 11, 6, 7, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34357475277", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[8, 9, 3, -2, -11, 12, -5, 10],\n [12, 8, -8, -2, -2, -4, -2, -8],\n [-4, -12, -3, -5, 6, 3, 0, 11],\n [-8, 5, -4, -9, 1, -6, -1, 11],\n [-6, -2, 9, 2, -6, 7, 4, -8],\n [-5, -3, -7, 8, -11, -8, -3, -10],\n [0, 3, 2, -11, -10, 7, 5, 7],\n [7, 2, 9, -8, 10, -2, 10, -10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61350734", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -6, 10, -11, 2, -1, 3, 3],\n [3, 6, -10, 9, 7, -9, -12, 9],\n [-5, 11, 2, 11, 8, 9, -8, 7],\n [-1, 7, 7, -9, 9, 2, -7, -8],\n [-2, 1, -2, -4, 11, -3, -7, -2],\n [-4, -8, -3, 7, 1, -7, -9, 11],\n [10, 8, -3, 9, -2, 3, -6, 5],\n [12, -6, 11, 8, 2, 6, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32173896", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[5, -10, -12, -12, -6, -3, -1, -5],\n [9, 10, 4, 1, 4, 12, 8, 10],\n [-7, 7, 4, 7, -5, 0, 3, -1],\n [4, 5, -5, 5, -2, 0, -1, 2],\n [12, -10, -10, -7, -10, -4, -2, -5],\n [-9, 9, 11, 7, 2, -8, -6, -5],\n [-6, -5, -9, -12, 9, -8, -2, -9],\n [-11, 4, 12, -1, -11, -4, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1253332803", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[5, 6, -10, 6, -4, 4, 4, -2],\n [6, -4, 5, -3, -2, -4, -6, -4],\n [-10, 5, -3, 9, 3, 0, 4, 2],\n [6, -3, 9, 7, 7, -7, 1, 2],\n [-4, -2, 3, 7, 4, 10, -6, 4],\n [4, -4, 0, -7, 10, -7, -6, 0],\n [4, -6, 4, 1, -6, -6, -4, -10],\n [-2, -4, 2, 2, 4, 0, -10, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84355661934", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[2, -10, 7, 6, 2, 6, -5, 10],\n [0, 10, -3, -11, -2, 12, 9, 6],\n [-4, -4, -7, -3, 9, 11, -5, 2],\n [-7, -6, 7, 4, -9, -5, 0, 11],\n [1, 5, 10, 4, 5, 1, 11, -2],\n [-3, 0, 7, 3, 1, -10, 5, -7],\n [7, -10, 6, -10, -1, -5, 12, 12],\n [-8, 4, -3, 8, 4, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15554884", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-5, -6, -11, -11, -9, -4, 12, 1],\n [11, -2, 8, -6, 12, 6, -9, -11],\n [12, 10, 9, 8, 10, 6, 8, 5],\n [8, -6, -2, -3, -2, 10, -4, -10],\n [11, -8, 10, -12, -12, 7, -8, 6],\n [-7, -10, 8, 0, 4, -10, 10, -10],\n [8, 10, 0, -11, -10, 7, 3, 8],\n [-1, 12, -4, 3, -9, 12, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108993463", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-12, -6, 7, -1, -5, -5, 11, 9],\n [-4, 1, 7, -8, 7, 8, -11, 8],\n [-3, 11, -4, -6, 10, 9, 5, -1],\n [-2, -3, 0, -4, 3, 8, 9, 4],\n [-8, -7, -3, -2, -11, -6, 1, -9],\n [-8, 6, 8, 7, -3, -7, -11, -10],\n [2, -3, 4, -6, 12, -11, -6, 2],\n [-10, -8, 9, -5, -9, 5, 6, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91897227", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 2) of the 6th power of the matrix:\n[[10, 2, -6, -6, -4, 2, -5, -6],\n [2, -1, 3, -7, 5, -2, -4, -6],\n [-6, 3, -5, -4, 2, 0, 8, -5],\n [-6, -7, -4, 0, 2, 0, 2, -6],\n [-4, 5, 2, 2, -5, -2, 6, 2],\n [2, -2, 0, 0, -2, -8, 7, -1],\n [-5, -4, 8, 2, 6, 7, -9, 2],\n [-6, -6, -5, -6, 2, -1, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7893021", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 2, 5, 5, -1, 8, 4, -4],\n [2, 1, 10, -4, 0, -10, -2, 0],\n [5, 10, 0, -1, 0, 6, 2, -9],\n [5, -4, -1, 4, -2, -6, 8, 5],\n [-1, 0, 0, -2, -5, -2, -1, 0],\n [8, -10, 6, -6, -2, -11, -3, -4],\n [4, -2, 2, 8, -1, -3, -1, -2],\n [-4, 0, -9, 5, 0, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75067172", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (6, 7) of the result:\nA =\n[[6, -10, 6, -2, -9, 4, 4, -6],\n [-8, 6, 12, 8, 6, -4, 4, -4],\n [1, -8, 9, -11, 11, 2, 3, 6],\n [-12, 10, -1, 6, 7, 2, -8, -12],\n [-2, -4, -6, -11, 4, 3, 3, 1],\n [-11, 6, -10, -5, 8, 12, 6, 3],\n [9, -9, -5, -12, -9, -6, 12, -12],\n [11, 5, -9, 7, 1, -5, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1406156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-10, 8, 9, 0, -5, 4, -7, -6],\n [8, 12, -6, 3, 10, 3, 6, 0],\n [9, -6, -3, 2, 2, 8, -2, 2],\n [0, 3, 2, -4, 7, -2, 6, 9],\n [-5, 10, 2, 7, -11, 8, 4, 4],\n [4, 3, 8, -2, 8, 4, 0, 0],\n [-7, 6, -2, 6, 4, 0, 7, -4],\n [-6, 0, 2, 9, 4, 0, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59273419818", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[11, -11, 12, 5, 0, 8, 3, -7],\n [3, -9, 11, -3, 6, -2, -8, 5],\n [-10, -5, -2, 8, 6, 8, 12, -10],\n [-1, 2, 10, 11, 3, -8, 6, -7],\n [-1, 6, -4, 5, -10, 10, 1, 11],\n [8, -8, -8, -9, 12, 9, 3, 0],\n [-5, 11, 8, 3, 12, -11, -5, -10],\n [10, -4, -2, 8, 11, 7, -12, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10946039", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the 6th power of the matrix:\n[[9, -5, 3, -3, -11, 3, -9, 6],\n [-4, -10, -2, -5, -6, -12, -5, 12],\n [11, 4, -2, -6, -4, 1, -8, 5],\n [11, 12, 10, 0, -8, -5, 2, 9],\n [-9, -12, -7, 11, 6, -1, -6, 0],\n [-6, -4, -12, 8, 11, 0, 6, 8],\n [-12, 12, 7, 8, 6, 5, 10, -8],\n [-10, -11, 9, -3, -7, 6, 12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15633133", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 5th power of the matrix:\n[[6, 0, 4, 10, 5, -2, 7, 7],\n [0, 11, -2, 7, 6, -3, -10, 8],\n [-7, -6, 8, 10, 7, -8, 9, -4],\n [9, -3, 1, -2, 4, -2, -6, -2],\n [0, 6, -7, -11, 1, 3, -6, -12],\n [-11, -4, 12, 10, 5, 8, 7, 5],\n [5, -3, -5, 8, -5, -11, 5, -2],\n [-2, 6, -2, -3, -5, 2, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1060511", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^6 where A is:\n[[-12, 6, 6, -2, 10, 6, 0, 5],\n [6, 4, -2, 0, 4, 7, -6, 11],\n [6, -2, -7, 5, -5, 0, 0, -4],\n [-2, 0, 5, 0, -8, -3, 2, 2],\n [10, 4, -5, -8, -7, -8, 10, 0],\n [6, 7, 0, -3, -8, -11, -6, 8],\n [0, -6, 0, 2, 10, -6, -6, 2],\n [5, 11, -4, 2, 0, 8, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95800578", "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, 6, 4, 12, 1, 0, 1, 3],\n [8, 2, 12, 6, 9, -2, -1, -2],\n [10, -8, -5, -7, 3, -1, -7, 0],\n [-6, -5, -1, -11, 10, -4, 0, 4],\n [0, 3, -12, -6, 0, 1, 8, 4],\n [3, 2, 4, -11, 12, -1, -10, -4],\n [-7, -7, -6, -5, -10, 11, 2, 9],\n [-7, -2, -10, 3, -7, -2, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7581718738", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-3, -3, 10, -10, 1, 6, 8, 8],\n [-4, 0, -4, 8, -1, 1, -8, -7],\n [0, 0, 11, -7, 1, -2, 0, -1],\n [3, -7, -4, 4, 7, 3, -1, 5],\n [-4, -10, -3, -2, -11, -5, 7, -2],\n [5, 7, -6, 1, -6, -12, -1, -12],\n [-10, -11, -10, -9, 1, 10, 5, 10],\n [-8, 2, 3, -5, 11, 8, -5, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228913916", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, -7, -6, 10, 6, 9, 9, 12],\n [-12, 0, -6, -12, -3, 0, -9, -6],\n [-7, -7, 8, -2, 10, -4, 9, -6],\n [-4, 10, -7, 6, 1, -12, 3, -4],\n [10, 2, 6, -3, 3, 12, -10, 6],\n [0, 1, -6, -11, 1, 10, 10, 4],\n [0, -11, -8, -9, -10, 1, -2, -5],\n [10, -4, 3, -10, -3, -12, -4, 3]], determine the value at position (2, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2236311", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-4, -6, -2, -2, -8, 2, 2, -4],\n [-6, -7, -3, -3, 9, 2, 4, 3],\n [-2, -3, 1, -4, 0, -2, -1, 8],\n [-2, -3, -4, 2, -2, 4, -1, 0],\n [-8, 9, 0, -2, 12, 6, -4, 0],\n [2, 2, -2, 4, 6, 1, 0, -11],\n [2, 4, -1, -1, -4, 0, 4, -2],\n [-4, 3, 8, 0, 0, -11, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25298701", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, -9, 0, 2, -2, -2, 2, -11],\n [-9, 8, 8, -5, -2, 2, -2, 2],\n [0, 8, 3, 0, 6, -2, -4, -4],\n [2, -5, 0, 1, -4, 2, 2, 4],\n [-2, -2, 6, -4, 3, -9, 7, 5],\n [-2, 2, -2, 2, -9, 11, 6, 5],\n [2, -2, -4, 2, 7, 6, 3, 3],\n [-11, 2, -4, 4, 5, 5, 3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51788804", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (1, 1) of the result:\nA =\n[[7, 4, 10, 6, -11, 1, -5, 12],\n [10, 9, -7, -4, -8, -8, 5, 9],\n [1, -1, -1, 9, -7, -9, 2, 10],\n [2, 12, 4, -10, -3, 12, 8, 9],\n [-5, -4, 11, -10, -12, -2, 0, -1],\n [8, -6, -11, -12, 7, -10, -9, 4],\n [5, 4, 6, -9, 4, 9, -11, -3],\n [-1, 0, -2, 8, -5, 7, -8, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "478804", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-11, -1, -11, -7, 9, 6, -1, 12],\n [0, 4, -1, -10, 11, -5, 3, -9],\n [11, 0, -5, -12, -10, -12, 2, 5],\n [7, -10, 2, 9, -8, 8, -3, -6],\n [10, 12, -5, -10, 5, 4, 3, 9],\n [0, -9, -10, -2, -11, 5, -9, 4],\n [-7, -3, -2, -8, 12, 5, 12, 12],\n [-3, -4, 3, -3, -3, -9, 8, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259103865", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, -4, 7, -2, -8, -8],\n [0, -11, 5, -8, -1, -2, 1, -3],\n [0, 5, -5, 0, 2, 6, -4, -6],\n [-4, -8, 0, 8, 0, 3, -4, 0],\n [7, -1, 2, 0, -7, 4, 4, -2],\n [-2, -2, 6, 3, 4, -11, 0, -3],\n [-8, 1, -4, -4, 4, 0, -5, 4],\n [-8, -3, -6, 0, -2, -3, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4279332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[7, 2, 1, 2, -4, 6, -1, 3],\n [2, -8, -2, 4, 6, -2, 3, 10],\n [1, -2, -3, 0, 4, 3, 2, -11],\n [2, 4, 0, -12, 0, -2, 2, -2],\n [-4, 6, 4, 0, 10, 4, -8, 6],\n [6, -2, 3, -2, 4, 12, 8, -12],\n [-1, 3, 2, 2, -8, 8, 10, 2],\n [3, 10, -11, -2, 6, -12, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118301135", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[12, 6, 0, -1, -2, -6, -4, 1],\n [6, 0, 2, 0, 8, 1, 2, -4],\n [0, 2, -11, -2, 1, 0, 8, 0],\n [-1, 0, -2, -7, -8, -1, 4, 8],\n [-2, 8, 1, -8, 6, -10, -7, -6],\n [-6, 1, 0, -1, -10, -12, 4, 6],\n [-4, 2, 8, 4, -7, 4, 5, 6],\n [1, -4, 0, 8, -6, 6, 6, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90047190501", "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, 11, 8, -11, 8, -1, -3, 12],\n [4, 5, 3, -3, -5, 8, 12, 9],\n [0, 3, -5, -1, 4, 3, -4, 12],\n [6, 4, 11, -5, -1, -4, -7, 12],\n [-3, -4, -9, -2, 8, 9, -7, 5],\n [-9, -1, -4, 2, 10, -4, -7, -2],\n [-6, 12, 1, 3, 2, 7, -4, 6],\n [-1, -2, -5, -10, 6, -10, 12, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4855397557", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-7, -2, 7, 1, -11, -1, 3, -10],\n [8, 3, -3, 7, -8, 0, -1, -12],\n [7, -2, 6, 2, 5, 3, -6, -3],\n [12, 3, 4, -6, -2, 4, -8, -12],\n [-10, 3, 11, 2, -9, -1, -12, 4],\n [11, 2, 11, 7, 7, -3, -2, 5],\n [-11, -7, 3, 11, -6, 10, 6, -1],\n [5, -3, -6, -9, 4, 4, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6154887", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-8, -10, 0, 10, 6, 4, 0, 2],\n [-10, 12, 6, -2, 6, 1, -4, 8],\n [0, 6, 12, 4, 8, -5, -1, -10],\n [10, -2, 4, -3, -4, -2, 2, 7],\n [6, 6, 8, -4, 0, 2, -8, 10],\n [4, 1, -5, -2, 2, 11, 0, -4],\n [0, -4, -1, 2, -8, 0, 5, -2],\n [2, 8, -10, 7, 10, -4, -2, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103355509", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, -8, 8, -8, -4, -6, -2, 4],\n [-8, 2, 1, 4, -8, 2, 4, 4],\n [8, 1, -12, 0, 6, -4, 1, -5],\n [-8, 4, 0, 0, -7, -4, 4, -4],\n [-4, -8, 6, -7, -7, 6, 8, -5],\n [-6, 2, -4, -4, 6, 1, -2, 6],\n [-2, 4, 1, 4, 8, -2, -8, 0],\n [4, 4, -5, -4, -5, 6, 0, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79307306", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, -10, -10, -10, 5, -7, 1, -10],\n [-12, -3, 0, -4, 9, 9, 12, -11],\n [-3, 12, -1, 6, -10, 6, -12, 2],\n [10, 0, -6, -11, 9, 7, -2, 10],\n [3, 1, 10, 2, 7, 6, -6, -4],\n [-9, -7, 10, -3, -10, 8, -12, -7],\n [-8, 10, 2, 12, -2, 7, 12, 0],\n [-7, -8, -11, 4, 11, -1, -1, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76742013", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 8) of the matrix A^7 where A is:\n[[1, -1, 1, -6, 0, -5, 6, -2],\n [-1, 4, 6, 8, -2, 2, -1, 1],\n [1, 6, -7, -10, -2, -9, 6, 6],\n [-6, 8, -10, -8, 0, -2, 3, -8],\n [0, -2, -2, 0, -11, 1, 5, 9],\n [-5, 2, -9, -2, 1, -3, -2, -9],\n [6, -1, 6, 3, 5, -2, 3, 4],\n [-2, 1, 6, -8, 9, -9, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2372268097", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (4, 3) of the result:\nA =\n[[5, -3, -8, -5, -2, 2, 12, -10],\n [-3, 6, -4, -3, -9, -4, -2, -9],\n [-8, -4, -12, -3, 0, 8, 4, 0],\n [-5, -3, -3, -7, 1, -2, 5, 0],\n [-2, -9, 0, 1, 7, 0, -4, 2],\n [2, -4, 8, -2, 0, -4, 5, 4],\n [12, -2, 4, 5, -4, 5, -4, -1],\n [-10, -9, 0, 0, 2, 4, -1, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2073298", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-8, -6, 8, -1, 2, -10, 2, 0],\n [-6, 11, -9, -3, -6, -2, -10, -4],\n [8, -9, 8, -9, 2, -6, 4, 1],\n [-1, -3, -9, -5, -1, 8, -4, -4],\n [2, -6, 2, -1, 1, 0, -4, -2],\n [-10, -2, -6, 8, 0, 7, -1, 2],\n [2, -10, 4, -4, -4, -1, 0, 4],\n [0, -4, 1, -4, -2, 2, 4, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2850209", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, -5, -7, 1, 7, -6, -10, -11],\n [9, 5, 9, -10, 1, 5, 0, -5],\n [-9, 2, -1, 1, 7, -6, 11, -1],\n [-4, -3, -5, 7, -11, 3, 8, 10],\n [5, 7, 9, 11, -3, -7, -7, 9],\n [7, 0, 6, 4, -11, 5, -6, 1],\n [9, 2, -5, -4, 8, -2, -10, 7],\n [1, -5, -10, 5, 10, 1, 7, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46562090", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[4, -2, 0, 4, -4, 8, -6, 1],\n [-2, -4, -6, -4, 9, -1, -6, -3],\n [0, -6, 5, -5, -4, 0, -8, 4],\n [4, -4, -5, -6, 4, -8, -6, -2],\n [-4, 9, -4, 4, 1, 0, 7, 6],\n [8, -1, 0, -8, 0, 10, -10, 2],\n [-6, -6, -8, -6, 7, -10, -3, -2],\n [1, -3, 4, -2, 6, 2, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35083173", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[10, -2, 4, 4, -4, 2, 6, -2],\n [-2, 4, 3, -2, -1, 2, 4, 1],\n [4, 3, 2, -7, -6, -2, 8, 6],\n [4, -2, -7, -5, 8, 0, -8, -6],\n [-4, -1, -6, 8, -6, 4, -4, 8],\n [2, 2, -2, 0, 4, 8, -10, 3],\n [6, 4, 8, -8, -4, -10, 0, 0],\n [-2, 1, 6, -6, 8, 3, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90836704", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[4, -10, 6, -2, -4, 11, 8, -4],\n [-10, 8, 4, -2, 4, -5, -8, -3],\n [6, 4, 3, -1, -8, 8, 3, -4],\n [-2, -2, -1, 12, 7, -2, 8, 4],\n [-4, 4, -8, 7, -4, 6, -2, -3],\n [11, -5, 8, -2, 6, -10, 0, -9],\n [8, -8, 3, 8, -2, 0, -7, 2],\n [-4, -3, -4, 4, -3, -9, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7115618", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[7, 4, 0, 1, 2, -6, 6, -2],\n [4, -12, 9, 4, 8, -6, -3, 10],\n [0, 9, 6, 2, -4, -6, 6, -5],\n [1, 4, 2, -9, 8, -4, 8, -6],\n [2, 8, -4, 8, -9, -3, 0, 2],\n [-6, -6, -6, -4, -3, -11, -4, -5],\n [6, -3, 6, 8, 0, -4, 9, -6],\n [-2, 10, -5, -6, 2, -5, -6, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63677916389", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-12, -8, 11, 6, 0, -2, 9, -2],\n [-11, -4, -11, 8, 6, -1, -4, -4],\n [10, -3, -8, -4, 10, 5, -3, 4],\n [-3, 1, -9, -3, 11, 9, 5, -8],\n [-4, -7, 3, 9, 10, 3, -2, 8],\n [2, 6, -10, 3, 8, 7, -8, -4],\n [-8, -9, 0, 7, 4, 7, -1, 7],\n [12, 7, -6, -12, 3, -6, -11, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "585604571", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 7) of the 5th power of the matrix:\n[[-2, -6, -12, -4, -8, 3, -2, 0],\n [-6, -5, 7, -3, 2, 0, 1, 0],\n [-12, 7, 10, -2, 1, 1, -2, -5],\n [-4, -3, -2, 5, 4, -6, -2, -1],\n [-8, 2, 1, 4, 12, 0, 0, 4],\n [3, 0, 1, -6, 0, 4, 2, -6],\n [-2, 1, -2, -2, 0, 2, 10, -1],\n [0, 0, -5, -1, 4, -6, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44014", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, 8, 4, -2, 11, -11, 12, -4],\n [6, -7, 12, -6, -9, -10, -11, -3],\n [-3, 4, 3, -12, -1, 7, 7, 12],\n [-3, -12, 3, -2, -9, -10, 12, 0],\n [8, 2, 12, -3, -7, -2, 12, -12],\n [7, -9, -3, 9, 2, -12, 8, 2],\n [-10, -12, -7, 6, -9, -1, 12, -11],\n [4, -7, -1, 2, 4, -12, 1, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2755931452", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-11, -1, 8, -2, 4, -3, 8, 2],\n [-1, -12, -2, -6, -3, 4, 0, -4],\n [8, -2, -3, 8, 5, -9, 8, -4],\n [-2, -6, 8, 5, 3, 1, -4, -10],\n [4, -3, 5, 3, 12, -2, 0, 0],\n [-3, 4, -9, 1, -2, -3, 3, -9],\n [8, 0, 8, -4, 0, 3, -3, -2],\n [2, -4, -4, -10, 0, -9, -2, -9]], determine the value at position (6, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-523365123", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[6, -3, 0, -5, -6, 6, -1, -4],\n [-3, 2, 6, -1, 4, -3, 2, -2],\n [0, 6, -11, 0, -9, -1, -2, 4],\n [-5, -1, 0, -1, 2, -3, -6, 8],\n [-6, 4, -9, 2, 7, 4, 2, 0],\n [6, -3, -1, -3, 4, -4, 5, -5],\n [-1, 2, -2, -6, 2, 5, 7, 8],\n [-4, -2, 4, 8, 0, -5, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1626879", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[2, -3, 10, -9, -7, -5, 11, -6],\n [-1, 5, 5, 6, -9, -12, -8, -6],\n [-2, 8, 10, 8, -2, -3, 11, -6],\n [3, -12, -12, -1, 3, -8, 1, 5],\n [-4, -11, -1, 12, -3, -11, 2, -9],\n [6, 9, -9, 12, -4, 0, -3, 1],\n [12, -10, -10, 7, 3, -4, 1, 9],\n [3, -4, 11, 10, -8, 0, 2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8784008154", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-9, 1, 7, 11, 7, -6, -9, 4],\n [-4, -9, -10, 6, -4, -5, -6, -6],\n [-9, 6, -1, 7, -7, -1, 7, -9],\n [-11, 2, 10, -7, 5, 8, 9, -8],\n [-9, -2, -2, -4, -10, -2, -11, -4],\n [11, 12, -3, -2, -10, 4, -2, 4],\n [6, -9, -11, 11, 1, 2, -10, 7],\n [9, 0, 9, 0, 5, 9, 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": "69882791", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-6, 0, 7, 0, 10, -6, -2, 1],\n [0, -12, -2, 1, -8, 4, 7, 6],\n [7, -2, 0, 10, -4, 0, 10, -1],\n [0, 1, 10, 10, -6, -8, 8, 7],\n [10, -8, -4, -6, 3, -3, 2, -4],\n [-6, 4, 0, -8, -3, 10, 1, 1],\n [-2, 7, 10, 8, 2, 1, 10, 2],\n [1, 6, -1, 7, -4, 1, 2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1870379191", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[10, 6, -3, -2, -5, -7, -2, 3],\n [-9, -11, 0, -6, 4, 10, 0, -3],\n [0, -3, -6, -3, 3, -10, -9, -9],\n [-9, 3, -4, -7, -3, 12, -9, 10],\n [-1, -3, -1, 12, 6, 6, 9, 11],\n [-12, -9, 0, -5, 9, 1, 3, -11],\n [-5, 0, -12, -1, 4, -6, 3, 1],\n [-3, -10, -1, -5, 3, 12, 11, -12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1353678267", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[4, -4, -6, 4, -5, -2, 0, 1],\n [-4, 9, -9, -7, 8, 0, 10, -10],\n [-6, -9, 3, 4, -4, 1, 2, -8],\n [4, -7, 4, -8, 4, -3, 0, 4],\n [-5, 8, -4, 4, -8, 10, 4, 4],\n [-2, 0, 1, -3, 10, -10, -8, 3],\n [0, 10, 2, 0, 4, -8, -10, 2],\n [1, -10, -8, 4, 4, 3, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6353777", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^7 where A is:\n[[2, 8, -2, -6, -2, 6, 4, 2],\n [8, -4, -2, 1, 2, 2, 6, -12],\n [-2, -2, -12, 4, 8, 2, -8, -9],\n [-6, 1, 4, -1, 1, 0, 0, -6],\n [-2, 2, 8, 1, -8, -1, 3, 2],\n [6, 2, 2, 0, -1, -11, -4, 2],\n [4, 6, -8, 0, 3, -4, 1, -4],\n [2, -12, -9, -6, 2, 2, -4, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13652462", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[1, -9, 8, -1, 7, 1, 3, -8],\n [3, -9, -10, -12, -9, -4, -12, 3],\n [10, -10, 11, -7, 0, 4, 2, 8],\n [-1, -5, 3, -10, -9, -6, 2, -2],\n [3, 9, 1, 10, 0, -4, 12, 5],\n [-10, 7, 9, -8, 9, 11, -11, 9],\n [12, 8, 4, 3, 11, 7, 11, 0],\n [7, -2, -5, 12, 8, -8, -11, 12]], determine the value at position (4, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "366397", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-9, -10, -11, -10, 3, 7, -4, -7],\n [2, -8, -4, 11, -7, -10, 10, 0],\n [9, 2, -2, 3, 2, 11, -7, 1],\n [-2, 7, -3, 3, -1, -6, -6, 11],\n [5, 2, -7, 6, -5, 7, 2, -9],\n [5, 0, 9, 9, -12, -5, 6, 4],\n [-3, -12, -12, 8, -8, -12, 8, 10],\n [8, 12, 7, 0, -4, 3, -5, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8210728557", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[4, -9, -6, 4, 11, 3, 1, 3],\n [-11, 11, 2, -2, 0, -9, 11, -12],\n [2, -1, 8, -4, -6, -10, 3, -9],\n [10, 1, 9, 0, 7, 6, -11, -3],\n [12, 6, 2, -6, 2, 4, 11, 3],\n [4, 3, 5, 4, -9, -11, 4, 4],\n [-11, 9, -11, 2, 3, -2, -11, -5],\n [8, 11, -1, 1, 1, 11, -1, -11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47695034", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 10, 12, -1, 11, -4, -5, 7],\n [3, -3, -6, 2, 12, -4, -9, 10],\n [-7, -1, 2, 6, 9, 11, -11, 6],\n [11, 7, 7, -11, 2, -1, -12, 10],\n [1, -9, 9, 11, -2, -6, 0, 1],\n [-6, 9, -2, 7, 7, 12, -2, 8],\n [-4, 12, -9, -11, -11, 12, -4, 6],\n [2, 8, 8, 5, 3, -11, -1, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69421118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-11, 1, -6, 4, 2, 4, -4, 0],\n [-11, 2, 7, -2, 6, 1, -9, -2],\n [3, 10, -11, -11, -4, 9, 10, 8],\n [8, -9, -5, 10, 5, 2, -11, 9],\n [-2, 4, -6, -5, -3, 11, -10, 0],\n [10, 4, 0, 6, 9, -4, 8, 3],\n [-8, -4, -4, -7, 8, -3, 5, -2],\n [11, 11, 2, -6, 1, -5, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5155002", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[6, 5, 4, -10, -10, -6, -3, 12],\n [4, 2, -5, 4, -10, -9, -5, 0],\n [-12, 5, -2, 8, -7, 3, 8, 6],\n [10, 4, 5, -2, 1, -1, 12, 7],\n [11, 12, -6, 4, -8, 9, 1, 11],\n [0, 11, -1, 1, 12, -4, -9, 9],\n [6, -12, 0, -7, -12, 12, 9, 4],\n [-10, 4, -11, 9, -6, -12, 8, 9]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26727128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 5) of the result:\nA =\n[[2, -10, 0, -2, -2, 0, 1, 4],\n [-10, -11, -6, 3, -2, -4, 8, 4],\n [0, -6, 7, -3, 2, -2, -6, 4],\n [-2, 3, -3, -1, 3, -5, -2, 0],\n [-2, -2, 2, 3, 7, 4, 2, 1],\n [0, -4, -2, -5, 4, 8, -2, -2],\n [1, 8, -6, -2, 2, -2, 7, 0],\n [4, 4, 4, 0, 1, -2, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168501290", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-12, 11, 8, 3, -3, -4, 5, -12],\n [-3, -6, -3, -1, -2, -4, -8, -9],\n [7, 0, -5, 3, -12, 4, 2, 11],\n [2, 5, -7, -11, -8, 6, -6, -4],\n [-11, -6, 11, 1, 11, 10, 2, -1],\n [7, -9, 0, -4, -1, -3, -4, 8],\n [10, -6, 12, -1, 3, 2, -6, -5],\n [-6, -2, -9, 5, 6, -6, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-618813", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -6, 7, 3, 10, -8, -6, -7],\n [-11, -6, 8, -4, 0, 4, 4, 2],\n [5, 11, 2, -2, 12, -1, 10, 4],\n [-1, -6, 11, -6, 8, 10, -3, 3],\n [-2, 3, -11, 12, -11, 5, -8, 1],\n [-5, -7, -4, -7, 8, 4, -5, -10],\n [-1, 0, 5, 10, -2, -11, 1, -12],\n [2, 5, 9, 5, 4, -12, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49045712", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[11, 9, 3, -9, 9, -7, 12, 3],\n [7, -7, 2, -12, -6, 10, -2, -12],\n [-5, 1, -8, 0, 2, -4, -5, 6],\n [4, 6, 5, 5, -9, -11, 11, -8],\n [4, 9, -6, 3, -12, -1, 6, -4],\n [3, -6, 2, -1, -9, -7, -7, 2],\n [-10, -11, -8, -5, 6, 8, 3, 6],\n [10, 3, -7, 9, -12, 5, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39464449", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-8, 4, 4, -8, 12, 0, 0, 1],\n [4, -1, 4, -4, -6, -3, 10, 4],\n [4, 4, -3, 8, -8, 0, -8, -2],\n [-8, -4, 8, 10, 11, -5, 4, 6],\n [12, -6, -8, 11, 9, -5, -10, 8],\n [0, -3, 0, -5, -5, 4, 5, -3],\n [0, 10, -8, 4, -10, 5, 4, -1],\n [1, 4, -2, 6, 8, -3, -1, -12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156195889286", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 3) of the matrix A^6 where A is:\n[[12, 11, -3, 5, -3, -12, 0, -9],\n [12, -1, 11, 3, 6, -1, -7, 3],\n [-1, 12, 11, -3, -8, 12, 12, 6],\n [-1, -5, -9, -6, 11, 10, -8, -2],\n [4, 11, 8, -10, -11, 6, 12, -11],\n [1, -12, 3, 2, 5, -11, -2, 8],\n [4, 0, -1, 11, -11, 9, 8, 5],\n [-3, -1, 4, 9, 1, 9, 6, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-646969", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[11, 12, -10, 12, -5, -8, 9, -1],\n [-12, 8, 3, -1, 10, 4, -4, 0],\n [10, -9, -9, 2, -3, 10, -7, -10],\n [12, 2, -7, -2, -11, -11, -12, -2],\n [-8, -7, -10, 7, -8, 7, -4, 6],\n [-8, 10, -1, -1, 3, -6, 1, 9],\n [-4, 2, 10, -2, -9, -2, -4, -7],\n [4, -4, 10, -7, -7, -9, 7, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48648387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-10, 5, 4, -4, 8, -2, 2, 6],\n [5, 1, -5, 2, -5, 0, -2, -5],\n [4, -5, 6, 0, 5, 4, 2, 0],\n [-4, 2, 0, -8, 2, -5, -6, 6],\n [8, -5, 5, 2, -3, 0, 0, 2],\n [-2, 0, 4, -5, 0, 11, -4, 4],\n [2, -2, 2, -6, 0, -4, 10, -3],\n [6, -5, 0, 6, 2, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3106524", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, -5, 10, 6, 9, 4, -1, -3],\n [-5, -10, 1, -6, -5, 1, 10, -8],\n [10, 1, 5, 3, 4, 6, -4, -2],\n [6, -6, 3, -1, 10, 0, -8, -4],\n [9, -5, 4, 10, -2, 2, 10, -2],\n [4, 1, 6, 0, 2, 5, -8, 5],\n [-1, 10, -4, -8, 10, -8, 4, -3],\n [-3, -8, -2, -4, -2, 5, -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": "4319923334", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-10, 7, 5, -5, -11, -7, -6, -6],\n [0, -12, -5, 12, 10, 0, 11, 7],\n [11, 6, 4, 0, 3, 11, 2, -2],\n [-1, 9, 12, -10, 11, 12, -4, 1],\n [-6, -2, -3, -10, 6, -11, 4, -11],\n [8, 3, 4, -3, -9, -2, 4, 11],\n [-1, 8, -3, 3, -9, -10, -4, -7],\n [-1, -12, 1, 11, -3, 5, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80607794", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[10, 6, -9, -10, -7, -4, -3, -4],\n [4, -3, -7, 3, 4, -2, 7, -6],\n [-9, 12, -3, 8, 1, 12, 4, 1],\n [7, 10, 0, -11, -4, -10, -9, -1],\n [2, 7, -5, 5, -8, -11, 9, -4],\n [12, 1, -12, 7, -9, 4, -3, -11],\n [-7, 6, -4, 6, 6, -4, -10, -7],\n [-7, 4, 0, 0, -6, -4, 12, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50887166", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[5, -12, 9, 9, 7, 0, -5, 8],\n [10, -4, -12, -4, 7, 10, -2, 7],\n [-9, 3, 1, 7, 9, 8, 5, 12],\n [9, 9, -4, -12, 10, -10, 7, -12],\n [-10, 1, 1, 10, 9, 0, -12, 2],\n [12, 7, -6, 3, 7, 10, 8, -12],\n [2, 7, 2, 6, -7, -7, -12, 3],\n [5, 0, -1, 5, -3, 1, 7, 12]], determine the value at position (6, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17871337", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 7) of the matrix A^7 where A is:\n[[-2, -4, 5, -4, 6, 10, -6, 0],\n [-4, -12, 2, 4, 8, -10, 0, -6],\n [5, 2, -5, 6, 12, -2, 0, -4],\n [-4, 4, 6, 10, 9, 9, 2, 6],\n [6, 8, 12, 9, 5, -4, 1, -4],\n [10, -10, -2, 9, -4, 6, 6, 0],\n [-6, 0, 0, 2, 1, 6, -9, -3],\n [0, -6, -4, 6, -4, 0, -3, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "561367967", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[1, 2, -2, -3, -3, 11, -7, 3],\n [8, -9, -4, -3, -8, -3, 3, -2],\n [-7, -6, -1, 0, 4, -4, -5, 3],\n [8, -10, -8, 8, 12, 10, 0, 5],\n [8, 3, 12, 1, -2, 5, -5, -1],\n [6, 7, -11, -4, 9, -4, 1, 2],\n [-2, 0, 11, 12, -8, -7, 10, -8],\n [-12, 12, 5, 10, 11, -5, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26460615", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[12, -2, -2, -10, -5, -5, 12, 11],\n [8, 8, -10, 9, -3, 6, 1, 5],\n [10, -10, 7, 1, -2, -3, 11, 1],\n [-12, 3, 12, -7, 5, 3, 6, 3],\n [-8, -1, -7, 12, -11, 3, 8, 10],\n [-2, -1, -2, 10, 7, 6, -5, 5],\n [-8, -1, -3, 2, -8, 4, 10, -9],\n [-1, 5, -5, 7, 4, -5, 0, 10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163825729", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-10, -10, -6, 8, 4, -2, 2, 0],\n [-10, -6, -4, -3, 0, 2, 2, 9],\n [-6, -4, 8, -1, -7, 4, -6, -2],\n [8, -3, -1, -1, 0, 2, -2, -6],\n [4, 0, -7, 0, 3, 0, 10, -3],\n [-2, 2, 4, 2, 0, -11, 0, 3],\n [2, 2, -6, -2, 10, 0, -12, 2],\n [0, 9, -2, -6, -3, 3, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1971046644", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (4, 5) of the result:\nA =\n[[-9, 5, -8, -2, 0, -10, 6, 7],\n [-2, -2, 8, -11, 9, 2, 9, -5],\n [-11, -5, 11, 7, 10, 2, 3, 0],\n [10, 4, 1, 1, -12, 11, -12, -10],\n [9, 11, 2, -8, -8, -9, 1, 7],\n [-6, 9, 11, 2, -2, 1, -7, -3],\n [-6, -3, 1, -8, 9, -12, 6, -5],\n [6, 4, 6, 3, -9, -5, 12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1497488", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, -6, -12, -4, -9, 1, -4, -10],\n [2, -8, -12, -2, 6, -8, 9, 11],\n [4, 6, 4, -8, 11, 7, -4, 9],\n [-7, 8, 0, 8, -2, 10, 11, 10],\n [-12, 4, -7, -10, 3, 0, -1, 12],\n [-2, 10, -11, 6, -5, 0, 1, 2],\n [4, 2, 8, -3, -12, -1, -4, 10],\n [-8, 9, 2, -10, 6, -6, -6, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11316839558", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-11, -11, -1, -8, -9, -6, 3, -10],\n [8, -11, 4, -4, 7, -5, -1, -6],\n [1, 3, -12, -3, -2, -6, 5, 6],\n [1, 4, 10, 6, 9, 0, 10, -10],\n [-11, 12, -4, -6, 1, -8, 7, 2],\n [7, -12, 7, -6, -8, 12, -9, -2],\n [6, -7, 7, 5, -8, 7, 2, 8],\n [12, 7, -7, -9, 4, 2, 5, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3296840", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[11, 7, 4, -1, -2, -3, 0, 3],\n [7, -12, -2, 10, 0, -1, -1, 5],\n [4, -2, -2, 6, -8, 3, -4, -8],\n [-1, 10, 6, 12, 7, 3, 0, -5],\n [-2, 0, -8, 7, -2, 2, 0, 6],\n [-3, -1, 3, 3, 2, -8, -4, 2],\n [0, -1, -4, 0, 0, -4, 11, 6],\n [3, 5, -8, -5, 6, 2, 6, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1192100170", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[3, 0, -8, 2, -6, 5, 7, 10],\n [-11, -5, -3, -3, -2, 8, 8, -5],\n [3, 3, 4, -7, 5, 4, -1, 2],\n [-6, 1, -9, 4, -2, -7, -3, 2],\n [-7, 3, -1, 6, 3, 1, -7, -4],\n [9, -12, 9, -5, -6, 1, -5, -2],\n [11, -4, 6, -6, -7, 5, -8, 6],\n [-2, -8, 12, 11, 12, -4, 11, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-881624058", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 4, -2, 4, -8, 0, 5, 7],\n [4, -4, -2, -2, 4, 4, 2, -6],\n [-2, -2, -2, 2, 12, 6, -6, -6],\n [4, -2, 2, -8, 8, 8, 9, -7],\n [-8, 4, 12, 8, 2, 7, -2, -2],\n [0, 4, 6, 8, 7, 4, 2, 4],\n [5, 2, -6, 9, -2, 2, 1, -9],\n [7, -6, -6, -7, -2, 4, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92848616", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-12, -3, -2, 7, -11, 10, -11, 10],\n [11, -2, -5, -10, -4, 3, 3, -3],\n [-7, 7, 11, 7, 7, -2, -5, 7],\n [-12, -7, -5, 1, -10, -11, 9, -12],\n [-2, 8, -7, -5, -6, -7, 5, -1],\n [-5, 11, 8, 6, 11, -8, 6, -4],\n [12, -1, 2, 10, 0, 11, 0, 8],\n [8, -8, -11, 6, -5, 1, -7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358308", "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, 1, -7, 3, -9, -6, 3, -9],\n [-6, 8, -11, 10, -5, -3, -11, -7],\n [-9, 8, -12, -7, -1, 1, 2, 11],\n [5, 4, -4, 2, 5, 11, 8, 5],\n [-8, 3, -4, 9, -10, -1, 11, 1],\n [-12, -4, -4, 7, 0, -5, -2, 1],\n [3, -2, 6, 9, -3, -5, -2, 12],\n [-5, 12, 7, -3, 4, 10, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45347106896", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-3, 1, 4, -2, 0, -10, -2, 10],\n [1, 8, 10, -2, -2, -6, 1, 0],\n [4, 10, -2, 4, 6, -5, 3, -2],\n [-2, -2, 4, 6, 4, -2, 0, -8],\n [0, -2, 6, 4, 10, -6, -2, 5],\n [-10, -6, -5, -2, -6, 8, 2, -5],\n [-2, 1, 3, 0, -2, 2, 7, 0],\n [10, 0, -2, -8, 5, -5, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15714295984", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-2, 1, 3, -4, 0, -6, 3, 10],\n [1, 4, -9, 2, 4, -8, -7, -7],\n [3, -9, -10, -3, 7, 4, 0, 8],\n [-4, 2, -3, -9, -4, 6, 6, -4],\n [0, 4, 7, -4, 9, 6, -2, -10],\n [-6, -8, 4, 6, 6, -9, -10, -4],\n [3, -7, 0, 6, -2, -10, -5, 8],\n [10, -7, 8, -4, -10, -4, 8, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5426703710", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[9, -11, -12, 12, 0, 10, -5, 9],\n [-4, 11, 7, 8, -11, 4, -7, -10],\n [7, 4, -7, -5, 1, -3, 7, -3],\n [2, -5, -2, 3, -10, 2, 0, -2],\n [1, -6, 6, 2, -7, 7, 9, -6],\n [11, 1, 9, -9, -4, -6, 12, 2],\n [-10, -8, 4, 11, -12, -12, 3, 10],\n [1, -2, 1, -5, 6, -11, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-625839", "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, 2, -12, -11, 6, 9, 4, 2],\n [11, 5, 8, -5, 8, 1, -5, 9],\n [10, -5, 6, 0, -8, -3, -6, -4],\n [1, -7, -3, -12, -2, -5, -7, 4],\n [-9, -7, 2, -3, 4, -3, -8, 6],\n [-6, 11, 6, -3, 6, -2, -10, -2],\n [-7, -7, 2, -10, 9, 12, -2, -5],\n [10, 10, -5, 10, 3, -10, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25384764121", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 2) of the matrix A^7 where A is:\n[[0, -10, 1, -6, 0, -2, 6, -3],\n [-10, 1, 0, 0, 2, 8, -3, -10],\n [1, 0, -6, 3, 6, -6, 6, -2],\n [-6, 0, 3, 4, -6, 1, 4, 1],\n [0, 2, 6, -6, -12, -8, -6, 4],\n [-2, 8, -6, 1, -8, 4, -1, -3],\n [6, -3, 6, 4, -6, -1, 6, 4],\n [-3, -10, -2, 1, 4, -3, 4, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4957286", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-8, 1, -5, 8, -10, 8, 8, 4],\n [1, 10, -8, -4, -4, 7, -6, 0],\n [-5, -8, -7, -6, -2, 0, -4, 0],\n [8, -4, -6, -4, 3, -2, -2, 0],\n [-10, -4, -2, 3, -12, 1, -4, -7],\n [8, 7, 0, -2, 1, 9, 4, 2],\n [8, -6, -4, -2, -4, 4, -2, -2],\n [4, 0, 0, 0, -7, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "786303879", "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, -2, -8, -6, 0, 8, 6],\n [-8, 0, 6, -1, 2, -3, -4, 3],\n [-2, 6, 3, 0, 10, 7, 0, 6],\n [-8, -1, 0, 2, -9, -4, -8, -10],\n [-6, 2, 10, -9, 3, -2, 11, 4],\n [0, -3, 7, -4, -2, 1, 3, -6],\n [8, -4, 0, -8, 11, 3, 8, 2],\n [6, 3, 6, -10, 4, -6, 2, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152873413693", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the 7th power of the matrix:\n[[-12, -5, 8, -3, 2, -11, 6, -1],\n [-3, -1, 8, 7, 12, -4, -5, -11],\n [8, 11, 11, -6, -9, 6, -5, 11],\n [0, 8, -10, -8, 7, -5, -11, 11],\n [-3, 9, 3, -9, 1, -10, -3, 0],\n [-8, 9, 4, 4, -2, 6, 5, 4],\n [-2, 2, -5, -1, 4, 11, -8, -9],\n [11, 11, -2, -5, 3, 3, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "593798934", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the 6th power of the matrix:\n[[11, 4, 0, -6, 4, 2, -2, -8],\n [4, 12, -6, 1, -1, -1, 6, 4],\n [0, -6, 8, -1, 2, 8, -6, -3],\n [-6, 1, -1, -6, -3, 0, 0, 2],\n [4, -1, 2, -3, 3, 2, 8, -8],\n [2, -1, 8, 0, 2, 1, 6, -3],\n [-2, 6, -6, 0, 8, 6, 12, 0],\n [-8, 4, -3, 2, -8, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7436618", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 1) of the 7th power of the matrix:\n[[-8, 1, -11, 9, 6, -5, 0, 6],\n [-8, 2, -9, -9, 5, 11, 6, 7],\n [9, -4, 2, -1, -9, -10, -8, 12],\n [4, -8, -9, 8, -6, -6, -6, 4],\n [12, 2, -6, 2, 7, -9, -11, 9],\n [0, -1, -3, 6, 2, 4, 8, -7],\n [-8, 8, 0, 1, 11, 1, 2, 3],\n [-3, -12, 11, -2, -6, 4, 12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64792114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-6, 0, 9, 6, -4, 0, 8, 2],\n [0, -12, -8, -3, 8, 0, 2, 2],\n [9, -8, 8, -6, 7, -1, -4, -8],\n [6, -3, -6, 10, -9, -2, 6, 1],\n [-4, 8, 7, -9, -2, 8, 0, 4],\n [0, 0, -1, -2, 8, -6, 1, 3],\n [8, 2, -4, 6, 0, 1, 5, -6],\n [2, 2, -8, 1, 4, 3, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3999630090", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, -2, -2, 0, 1, 8, -2],\n [-4, -5, -4, 0, 0, -2, 2, 4],\n [-2, -4, 4, 6, 4, 4, 8, 0],\n [-2, 0, 6, -3, -8, 4, 10, -8],\n [0, 0, 4, -8, 6, 1, 3, -1],\n [1, -2, 4, 4, 1, 2, -1, -5],\n [8, 2, 8, 10, 3, -1, -11, 2],\n [-2, 4, 0, -8, -1, -5, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54691042", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-9, 4, -7, 1, -4, -9, -2, 7],\n [8, 3, 3, 3, -7, 2, -10, -4],\n [-12, -2, 9, -7, 11, -8, 12, 12],\n [5, 8, -1, -6, -11, -6, -4, 11],\n [12, 7, -5, -4, -3, -1, -11, -3],\n [-10, -12, 4, 9, -12, -8, 1, -7],\n [-4, 9, 1, -9, -12, -7, -6, 8],\n [-7, 11, -12, -5, -1, -2, -11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1650341019", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 8) of the result:\nA =\n[[11, -11, -5, 8, 12, 12, 11, 12],\n [-6, 3, 11, 9, -4, 3, -11, -10],\n [-11, 9, 6, 4, 7, 8, -1, -2],\n [7, 9, 6, -7, -3, 1, -12, 2],\n [-7, 0, 11, 1, 0, 11, 3, -12],\n [1, 0, 10, -3, -3, -9, 1, -1],\n [9, -7, 2, -8, -3, -4, -3, 11],\n [-1, 9, -9, -9, 0, 12, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-760049781", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[0, 2, -6, 6, 7, -9, 9, 6],\n [2, -3, -4, 2, -2, 1, 4, 3],\n [-6, -4, 4, -2, 4, 6, 7, 6],\n [6, 2, -2, -11, 4, -3, -6, 0],\n [7, -2, 4, 4, 5, 2, -6, 2],\n [-9, 1, 6, -3, 2, -2, 4, 8],\n [9, 4, 7, -6, -6, 4, 5, -2],\n [6, 3, 6, 0, 2, 8, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5004384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-7, -6, -1, -1, 2, -2, -4, 4],\n [-6, -9, -1, 4, 2, 3, 10, -7],\n [-1, -1, -1, 4, -10, 1, 0, 2],\n [-1, 4, 4, -2, -4, 6, -6, 1],\n [2, 2, -10, -4, 8, -7, 1, -4],\n [-2, 3, 1, 6, -7, -4, -4, -4],\n [-4, 10, 0, -6, 1, -4, -1, 7],\n [4, -7, 2, 1, -4, -4, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14710506", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[12, -10, -11, -8, -5, 6, 9, -4],\n [-11, 2, -5, -3, -6, 6, -12, 9],\n [-11, -10, 1, 2, 8, 1, -5, 5],\n [9, 4, -6, 7, -12, -4, -4, -2],\n [6, -7, -6, 2, 7, -7, -4, 2],\n [9, 10, -7, -6, 4, -7, -4, -10],\n [1, -7, -9, 3, 10, 3, 10, -4],\n [-9, -5, 11, -5, 11, -7, -5, -7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3717369005", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[1, 1, 5, 0, 2, -10, -7, 10],\n [7, 4, 7, 3, -7, -5, 0, 0],\n [7, 4, 8, 10, 9, -10, 0, -6],\n [7, -8, -2, 10, 5, -9, 7, 9],\n [-6, -9, -3, -12, 4, -8, 4, -10],\n [-4, -10, -10, -4, -8, 11, -3, 2],\n [12, -1, -7, -6, -6, 10, -9, 0],\n [2, 5, 5, -6, -3, 3, 10, 10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3139061638", "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, 0, -1, -7, 8, 6, 2],\n [6, 1, 0, -9, -8, 9, 0, -8],\n [0, 0, -11, 0, -3, 0, -1, 2],\n [-1, -9, 0, -5, -2, 2, 4, -1],\n [-7, -8, -3, -2, -5, 9, 0, -3],\n [8, 9, 0, 2, 9, -7, 6, 6],\n [6, 0, -1, 4, 0, 6, 3, -2],\n [2, -8, 2, -1, -3, 6, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85638903862", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, 6, 0, -11, 0, 7, -10, 7],\n [6, 4, -2, -5, 2, 2, -3, -1],\n [0, -2, -1, -2, -4, -6, -10, 0],\n [-11, -5, -2, 11, -8, -8, -3, 10],\n [0, 2, -4, -8, -1, 4, -10, 5],\n [7, 2, -6, -8, 4, 11, -2, 0],\n [-10, -3, -10, -3, -10, -2, -7, 0],\n [7, -1, 0, 10, 5, 0, 0, -10]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1257299114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -10, 10, -12, 10, 9, -3],\n [-11, 4, -4, 5, 7, -4, 12, -2],\n [4, 1, 5, 5, -1, 5, -5, -5],\n [-5, 7, 2, -5, 1, 0, 10, -5],\n [4, 6, -7, 4, -9, 12, -6, 4],\n [9, 9, 5, -7, -3, 5, 11, -6],\n [1, 9, 1, -3, 9, 12, -4, -3],\n [-11, -10, 3, -3, 10, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41329407", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[1, -3, -4, -6, 1, -12, 2, -4],\n [-3, 4, -3, 1, -2, 0, 6, 2],\n [-4, -3, -10, -6, -4, 6, 2, -4],\n [-6, 1, -6, -1, 0, 1, -2, -7],\n [1, -2, -4, 0, 12, -2, -6, 6],\n [-12, 0, 6, 1, -2, -4, 0, -8],\n [2, 6, 2, -2, -6, 0, 4, 4],\n [-4, 2, -4, -7, 6, -8, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405304669", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-9, 4, -2, 5, 2, 2, 1, -6],\n [4, -2, 1, 4, 4, -4, 0, 4],\n [-2, 1, 3, 0, -9, 10, -6, -8],\n [5, 4, 0, -3, -9, 8, 4, -2],\n [2, 4, -9, -9, 4, 0, -1, -2],\n [2, -4, 10, 8, 0, 9, -4, 0],\n [1, 0, -6, 4, -1, -4, 2, 4],\n [-6, 4, -8, -2, -2, 0, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61670810", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-6, 6, -8, 10, 0, -11, 11, 5],\n [-9, -9, -5, -2, -12, -4, -7, -9],\n [-7, 0, 9, -4, 1, -1, -9, -5],\n [4, 9, -8, -10, -9, -5, 3, -2],\n [-11, -5, -6, -12, -11, 10, 0, -2],\n [-10, -11, 3, -12, -6, -10, 9, 3],\n [11, -7, 1, 10, -2, 9, 10, 8],\n [12, 6, 9, 12, -12, 8, 0, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5017388464", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-4, 1, -6, 4, -2, -12, -3, 6],\n [1, -8, -4, 4, 2, 3, -4, -2],\n [-6, -4, -9, 6, -2, 8, 4, -5],\n [4, 4, 6, -4, -6, -6, 2, -5],\n [-2, 2, -2, -6, -8, -1, 2, 2],\n [-12, 3, 8, -6, -1, 0, -8, 2],\n [-3, -4, 4, 2, 2, -8, -6, 1],\n [6, -2, -5, -5, 2, 2, 1, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1901884374", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-3, -2, -4, 0, -10, 4, 5, -8],\n [3, 10, 3, -2, 9, -9, -4, 2],\n [-1, 3, -9, -10, 8, -9, -11, 6],\n [-6, -11, -12, 5, -5, -5, -3, 5],\n [9, -2, 10, -12, -6, -5, 12, 1],\n [11, 6, -5, 6, 9, -9, 10, 11],\n [-3, 9, -3, -9, -5, -6, 2, -5],\n [-3, -6, 6, -10, -4, 3, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22475304919", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-1, -12, 3, -10, -12, -7, -11, -6],\n [-5, 0, 3, 9, 8, -3, -9, 12],\n [11, 8, 0, 4, -5, -5, 10, -6],\n [11, -12, 2, 2, 6, -9, -7, -3],\n [-1, 12, -9, -7, 12, 1, 0, 12],\n [9, 8, -10, 8, 2, -10, -8, 0],\n [2, 4, -7, 10, 5, -10, -4, -5],\n [7, -2, 11, -2, -5, 9, -12, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80121573", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) of the matrix A^6 where A is:\n[[7, -9, -11, 12, -11, 0, 9, 8],\n [7, -7, -9, 12, 2, 10, -10, -9],\n [4, -7, -11, 7, 0, 2, -8, 11],\n [6, -7, 4, 12, -12, -11, -12, -5],\n [-9, 5, 10, 11, -4, 2, 3, 8],\n [-10, -12, 11, 0, 1, -7, -8, 10],\n [-8, -9, 8, -1, 1, 10, 1, -2],\n [9, -3, -3, -4, -11, 1, -6, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9854957", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[11, 7, -5, 11, 7, -9, -8, 0],\n [-6, -7, 4, -7, 6, 12, -10, -4],\n [8, 2, -5, 12, 12, 10, 2, -12],\n [-5, 10, -9, 9, -3, 3, 5, -9],\n [-5, -9, -3, 7, -9, 3, -1, -3],\n [12, -2, -11, 3, 10, 6, -1, -9],\n [4, -1, 3, -10, -11, -6, -7, -12],\n [2, -1, 0, -5, -4, -12, -8, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23104306", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[5, 4, 1, 9, -4, 3, -4, 0],\n [4, 9, 8, 0, -2, -1, -4, 5],\n [1, 8, 3, 0, -2, 8, 9, 2],\n [9, 0, 0, 1, 5, 10, 2, 4],\n [-4, -2, -2, 5, 0, 2, 4, 4],\n [3, -1, 8, 10, 2, -3, 6, 6],\n [-4, -4, 9, 2, 4, 6, 12, -8],\n [0, 5, 2, 4, 4, 6, -8, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42979760", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[9, 12, 6, 4, 5, -5, -9, 10],\n [5, -2, 1, 0, 11, 3, -1, -4],\n [-6, -3, 4, 5, 12, -6, -10, 2],\n [3, 8, 4, 0, -10, 7, 7, 10],\n [-8, -4, 10, 5, -2, -2, 3, -5],\n [-11, 10, 8, -3, -7, -9, 8, -8],\n [10, -2, -1, 3, 7, 8, 1, 1],\n [7, 7, 2, -5, -8, -4, 8, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19724138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[11, -1, -2, -2, 0, -1, 2, -6],\n [-1, -11, -4, 10, -2, -7, -3, 5],\n [-2, -4, -2, 2, 2, -6, -4, 2],\n [-2, 10, 2, -2, 2, -4, 7, 2],\n [0, -2, 2, 2, -3, -2, -3, 2],\n [-1, -7, -6, -4, -2, 1, 10, -5],\n [2, -3, -4, 7, -3, 10, 1, 6],\n [-6, 5, 2, 2, 2, -5, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3863994", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[12, 0, -11, 9, -6, -12, -7, 3],\n [-5, 0, 10, 5, 1, 5, -9, 2],\n [-8, 8, 1, 3, 2, -2, -11, 10],\n [11, 5, -9, 2, -1, -10, -9, 8],\n [3, -7, -11, 9, -4, -1, -1, 11],\n [1, 4, -4, -1, -3, -2, -11, 3],\n [-12, 9, -12, 9, -11, -1, 10, 10],\n [7, 5, -1, 10, -12, -2, -11, -1]], determine the value at position (5, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92059", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, 4, 12, -7, 3, 6, -7, -6],\n [6, 7, 4, -7, 2, 9, -4, -11],\n [-8, 8, 10, -8, -1, -3, -9, -1],\n [2, -3, 5, 11, -8, 0, -9, -4],\n [5, -10, 11, -2, -9, -4, -1, -3],\n [-3, -4, -3, -4, -12, 9, 3, 1],\n [0, -7, 1, -5, 10, 10, 5, 7],\n [-12, -1, -2, 0, 10, -9, 12, -7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "984200160", "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, 2, 2, 0, 5, -6, 0, 10],\n [2, 8, 0, 3, 0, 5, -11, 6],\n [2, 0, -11, -1, 0, 0, 2, -1],\n [0, 3, -1, 3, 3, 2, -4, 0],\n [5, 0, 0, 3, 4, -2, -5, 2],\n [-6, 5, 0, 2, -2, 6, 5, 8],\n [0, -11, 2, -4, -5, 5, 3, 2],\n [10, 6, -1, 0, 2, 8, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36608309565", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-8, -2, -4, -2, -6, -3, 0, -6],\n [-2, 3, -10, 7, -6, -4, 2, -1],\n [-4, -10, 9, 6, 8, 0, -1, -2],\n [-2, 7, 6, 5, -9, -2, -3, 1],\n [-6, -6, 8, -9, 9, 3, 11, -9],\n [-3, -4, 0, -2, 3, 2, 0, 4],\n [0, 2, -1, -3, 11, 0, 11, -9],\n [-6, -1, -2, 1, -9, 4, -9, 12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249623031", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, -5, -4, -11, -5, 0],\n [0, 11, 10, 0, 1, 2, 2, -3],\n [0, 10, -4, 4, -2, -5, 2, 4],\n [-5, 0, 4, 8, -5, -6, 8, -5],\n [-4, 1, -2, -5, -3, -1, -3, -5],\n [-11, 2, -5, -6, -1, -7, -2, -8],\n [-5, 2, 2, 8, -3, -2, -2, -2],\n [0, -3, 4, -5, -5, -8, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44377183", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[1, 4, -6, -6, -9, 6, -5, -9],\n [4, 2, 10, -5, 1, -12, -4, 10],\n [-6, 10, -2, 5, 4, 2, 9, -10],\n [-6, -5, 5, 10, 10, -2, 1, 2],\n [-9, 1, 4, 10, 2, 7, 10, -5],\n [6, -12, 2, -2, 7, -4, -1, 2],\n [-5, -4, 9, 1, 10, -1, -3, 6],\n [-9, 10, -10, 2, -5, 2, 6, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12743335967", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (1, 3) of the result:\nA =\n[[-5, -11, 6, 8, 9, -6, -1, 7],\n [-10, 12, -9, 12, 12, -2, -1, 6],\n [6, -2, 0, 11, -12, -7, 9, 12],\n [3, -11, 1, 11, 10, 5, 4, 7],\n [5, 6, 2, -11, 12, -9, -12, -5],\n [7, 1, -2, 11, 11, 12, 1, 3],\n [-3, -6, 3, -9, -1, -1, -11, -7],\n [7, 2, 2, 9, 3, 11, -10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26762526", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[8, -1, 2, 6, -7, 6, 4, -4],\n [8, 0, 2, 3, 0, -11, -11, -2],\n [12, 3, 4, -10, 10, -12, 5, 1],\n [9, -4, -4, -1, 11, -10, -11, -12],\n [-4, 0, 8, 3, 6, -3, -8, 1],\n [2, -10, -4, -12, -12, 6, -7, -2],\n [5, 1, 3, -12, 11, -3, 12, -3],\n [0, -12, -10, 1, 8, 3, 10, 7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61655693654", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-7, -12, 7, 11, -8, -5, -1, -12],\n [0, -4, 7, 12, 11, -5, 0, -11],\n [2, 1, 6, -4, 6, 1, -5, -8],\n [-6, -9, -5, -9, 8, -12, -5, -6],\n [-2, 8, 3, 9, 4, 11, 12, -8],\n [-6, -3, 0, 7, 2, -7, -11, -9],\n [8, 1, 12, 12, 11, 2, 1, -9],\n [-7, -6, 0, 4, 4, -9, 6, 7]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13375100872", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[0, 4, -6, 0, 8, 6, 8, 6],\n [4, 4, -1, 5, -2, 4, 5, 4],\n [-6, -1, 6, 10, -2, 1, 0, 5],\n [0, 5, 10, 7, -9, -1, 2, -6],\n [8, -2, -2, -9, -9, 0, -2, 2],\n [6, 4, 1, -1, 0, 4, 2, 4],\n [8, 5, 0, 2, -2, 2, -1, -2],\n [6, 4, 5, -6, 2, 4, -2, 7]], determine the value at position (8, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-603994317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 7, 9, 4, 7, -10, -6, 0],\n [7, 7, 3, 2, -4, 4, 2, 0],\n [9, 3, -10, -4, 0, -2, -2, -6],\n [4, 2, -4, -4, -1, -6, -2, -6],\n [7, -4, 0, -1, 6, 2, 0, 2],\n [-10, 4, -2, -6, 2, 0, 0, 2],\n [-6, 2, -2, -2, 0, 0, -7, 4],\n [0, 0, -6, -6, 2, 2, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31055139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, 9, 8, -4, 6, 12, 8, 11],\n [-2, -10, 10, -9, -8, -9, 0, -4],\n [10, 1, 3, 9, -7, -3, 10, 8],\n [0, -10, -2, -10, -6, -3, -12, -9],\n [-5, 7, 4, -8, 4, -4, -5, -6],\n [-8, -9, 10, -10, -5, -8, -8, 4],\n [2, -5, -6, 4, -1, -9, 7, 12],\n [5, -9, -3, -10, -8, -1, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216193188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-8, -9, 12, -7, -3, -7, 9, 9],\n [-12, 3, -2, -7, 7, 5, -7, 4],\n [-1, 4, 8, 9, 5, -3, 11, 7],\n [-1, -9, -3, -8, -9, 3, -8, 6],\n [11, -7, 11, 8, -6, -3, -6, 9],\n [1, -3, 7, 9, 12, -2, 1, -1],\n [-9, 0, 9, 9, -10, 0, 7, 6],\n [2, 6, 7, -9, -7, 2, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3143877", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, -9, 5, 2, -1, -5, -1, -4],\n [-6, 9, -5, 7, -3, -2, -11, -9],\n [8, 12, 8, 12, -4, -5, -8, 1],\n [-11, 8, 4, -5, -11, 10, 2, -11],\n [-2, 1, 8, -3, -6, 9, 1, 0],\n [8, 9, -11, -3, -12, -12, 11, -10],\n [-2, 6, -4, 0, 9, -9, 7, 10],\n [-7, -11, -4, 5, 11, -9, -12, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103863244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[12, 7, 4, 6, -10, 10, 9, 11],\n [10, 4, -10, 12, -9, 0, 2, -1],\n [-10, 8, -5, -12, 5, 0, -6, 0],\n [4, 0, 0, -2, 1, 8, -3, -5],\n [-7, 6, 10, 6, -1, 8, -6, 5],\n [7, 5, 10, -10, -4, -7, -12, -3],\n [-5, 10, 4, -10, -10, -10, -6, 9],\n [-2, 5, -8, 9, -11, 1, -12, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-604584162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[1, 4, 7, 0, 4, 1, 1, 0],\n [4, 11, -11, 10, -8, 8, 0, 2],\n [7, -11, 10, 0, 1, 1, -1, 5],\n [0, 10, 0, -3, -1, -6, 6, -8],\n [4, -8, 1, -1, 4, -2, 2, -10],\n [1, 8, 1, -6, -2, 10, 0, 9],\n [1, 0, -1, 6, 2, 0, -4, 6],\n [0, 2, 5, -8, -10, 9, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4312690899", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[8, -3, -6, -6, -2, 6, -5, 11],\n [-3, 1, -2, -7, 7, -2, -2, 5],\n [-6, -2, 12, -10, 2, -5, 8, -4],\n [-6, -7, -10, 9, 4, -5, 7, 2],\n [-2, 7, 2, 4, -5, 6, 8, 0],\n [6, -2, -5, -5, 6, 1, 8, -6],\n [-5, -2, 8, 7, 8, 8, 10, -7],\n [11, 5, -4, 2, 0, -6, -7, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131332063155", "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, -4, 2, 8, 0, 1, 2, -2],\n [-4, -4, -1, -1, 10, 2, -6, 0],\n [2, -1, 0, 1, -6, -10, 0, -6],\n [8, -1, 1, -8, -6, 6, -9, -7],\n [0, 10, -6, -6, -11, -8, -4, -2],\n [1, 2, -10, 6, -8, -7, -8, -8],\n [2, -6, 0, -9, -4, -8, -8, -4],\n [-2, 0, -6, -7, -2, -8, -4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161815403163", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-7, -6, 4, 0, 8, -2, -8, -5],\n [-6, -9, -2, 10, 1, -6, 0, 2],\n [4, -2, -7, 2, 9, 4, -8, -12],\n [0, 10, 2, 10, 0, 0, -4, -4],\n [8, 1, 9, 0, -5, 4, -3, -4],\n [-2, -6, 4, 0, 4, 11, 4, -2],\n [-8, 0, -8, -4, -3, 4, 3, 6],\n [-5, 2, -12, -4, -4, -2, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101492384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 2) of the result:\nA =\n[[1, -2, 4, -8, 10, 1, 4, 7],\n [8, -11, -6, -9, -5, -12, -3, -12],\n [-12, -9, 4, -8, 1, -7, -6, -5],\n [11, 5, -9, 10, 12, 12, -10, 10],\n [-9, 12, 10, 3, 0, 9, 12, 10],\n [-2, 11, -2, -8, 7, -12, 1, 11],\n [9, 7, 6, -8, 7, 10, -7, 6],\n [-1, 1, 4, -6, 8, -12, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250690125", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-9, 2, -7, 1, 1, -2, -5, 0],\n [2, -8, 1, 2, 0, 0, -4, -4],\n [-7, 1, -7, 0, 4, -6, 0, 0],\n [1, 2, 0, -9, 6, -8, -1, -4],\n [1, 0, 4, 6, 6, 8, 4, 3],\n [-2, 0, -6, -8, 8, -5, 2, 12],\n [-5, -4, 0, -1, 4, 2, -3, 2],\n [0, -4, 0, -4, 3, 12, 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": "31866684438", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (8, 8) of the result:\nA =\n[[4, -10, -10, 4, 2, 0, -2, -2],\n [-10, -4, 10, -8, -8, 7, -10, 5],\n [-10, 10, 3, 3, -6, -4, -1, 5],\n [4, -8, 3, -5, 0, 2, 2, -2],\n [2, -8, -6, 0, -7, 0, 6, 0],\n [0, 7, -4, 2, 0, 4, 4, -3],\n [-2, -10, -1, 2, 6, 4, -3, 3],\n [-2, 5, 5, -2, 0, -3, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42202400", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, 9, -6, 2, 4, 1, 1, -4],\n [3, -11, 1, -9, -10, -10, -2, -8],\n [3, 10, 10, 10, 6, -4, 9, -2],\n [-1, -5, 1, 4, 7, 2, 2, 10],\n [-1, -4, -1, 6, -1, -2, -7, -5],\n [-2, -10, 3, -7, -4, -4, -7, -8],\n [-12, -10, -10, -1, -9, 8, 3, -2],\n [-5, -4, 1, 10, 9, 2, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "634960431", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[4, 2, -2, 4, 3, 0, -2, 4],\n [2, 12, -4, 0, 10, 3, 6, 2],\n [-2, -4, 7, -1, 1, -4, -3, -4],\n [4, 0, -1, 12, 8, -6, 1, -8],\n [3, 10, 1, 8, 2, 5, -1, 8],\n [0, 3, -4, -6, 5, 6, -6, -3],\n [-2, 6, -3, 1, -1, -6, 3, 0],\n [4, 2, -4, -8, 8, -3, 0, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60021582", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 5) of the matrix A^5 where A is:\n[[-11, 5, 1, 11, -8, -1, 1, -7],\n [-5, -6, -6, -1, -6, -1, 3, -6],\n [-5, -12, 0, 6, -12, 11, 5, -6],\n [9, 4, 2, 9, 12, 6, 10, -9],\n [4, -6, 3, 4, 7, 2, -4, 8],\n [10, 0, -6, 6, -2, -5, 4, -9],\n [-9, 5, 9, 4, -10, -4, -7, -11],\n [-1, 2, -4, -11, -1, 3, -6, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214410", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[8, -6, -10, 7, -8, -10, 2, -7],\n [2, -10, 11, 10, -12, -11, -9, 8],\n [1, 1, -3, -2, -9, 2, 7, 12],\n [-9, 7, 7, 3, -11, 0, -5, 0],\n [7, 8, -5, -9, -8, 8, -7, 10],\n [6, -3, -10, 0, -4, 4, -3, -1],\n [0, 11, -3, 6, 8, 6, 4, -8],\n [-5, -8, 2, -9, 12, 0, 4, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "803461787", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 6th power of the matrix:\n[[-12, 8, -4, -4, 3, -2, -1, -1],\n [8, 11, 0, 5, 8, 4, 5, -4],\n [-4, 0, -9, -4, 1, 0, 3, -4],\n [-4, 5, -4, -4, 2, -6, -2, 4],\n [3, 8, 1, 2, 11, 6, 8, 4],\n [-2, 4, 0, -6, 6, -8, 2, -9],\n [-1, 5, 3, -2, 8, 2, 11, 0],\n [-1, -4, -4, 4, 4, -9, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6185542", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, 4, -4, 8, 6, -2, 4, -2],\n [4, 7, 2, -6, 1, -4, -8, 10],\n [-4, 2, 10, 10, 11, -6, 1, 2],\n [8, -6, 10, -12, 5, -6, 4, -12],\n [6, 1, 11, 5, 6, 4, 4, -2],\n [-2, -4, -6, -6, 4, -3, 2, -2],\n [4, -8, 1, 4, 4, 2, 4, 0],\n [-2, 10, 2, -12, -2, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69885954150", "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, 0, -2, -6, -4, -6, 8, -2],\n [0, 8, -1, -6, 2, -1, 2, -10],\n [-2, -1, 0, 2, 2, 2, 10, 2],\n [-6, -6, 2, -3, 2, -5, 8, 1],\n [-4, 2, 2, 2, -2, -2, -1, -1],\n [-6, -1, 2, -5, -2, -12, 5, -2],\n [8, 2, 10, 8, -1, 5, -9, 9],\n [-2, -10, 2, 1, -1, -2, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112815987330", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[2, 11, 3, -4, -6, -3, -6, 0],\n [-11, -1, 0, -10, -2, -5, -2, 5],\n [-6, -1, -7, -3, 7, 2, 7, 2],\n [6, -7, 6, 2, 12, 7, 7, 5],\n [-11, -6, -8, -10, -7, -7, -12, 6],\n [-1, -8, -6, 7, -5, 6, -7, 2],\n [-7, -4, -9, 3, 10, -3, -12, -2],\n [4, 5, 7, 9, 7, 2, -7, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55099140", "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, -6, 10, 6, 2, 0, -4],\n [6, 8, 8, 0, 4, 7, 4, -3],\n [-6, 8, 5, 0, 6, 3, -7, -4],\n [10, 0, 0, 5, 1, 0, -6, -6],\n [6, 4, 6, 1, 4, -2, 5, -4],\n [2, 7, 3, 0, -2, 6, -5, 0],\n [0, 4, -7, -6, 5, -5, 8, -2],\n [-4, -3, -4, -6, -4, 0, -2, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24877651842", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[11, 9, 1, 7, 10, -7, 12, -7],\n [5, 6, -4, 2, -6, -7, -8, 6],\n [7, -12, 8, -6, 5, -5, -1, -3],\n [-7, 3, 6, 5, 11, 0, 7, -6],\n [-6, 3, 12, -3, 2, 1, 11, -1],\n [2, -5, -6, 8, -4, 1, -6, -1],\n [1, -2, 6, -7, -10, -7, 11, -4],\n [-11, -7, 1, 6, 10, -9, 1, 8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47532621", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 7th power of the matrix:\n[[-3, -7, -2, 0, 11, 5, 7, 1],\n [7, 9, 7, -2, 8, -8, -5, -9],\n [-1, -7, 10, 11, 12, -5, -9, 7],\n [-3, -2, 2, -8, -10, 2, -11, -11],\n [12, -5, 9, 1, -4, -8, -1, -3],\n [-12, 11, 6, 12, -2, 4, -10, -12],\n [4, -7, 0, 7, -9, -8, 2, 1],\n [6, 2, -1, 5, 1, -3, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253865763", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-9, 5, 12, -5, -9, -2, -8, -3],\n [-7, -9, 5, 8, 4, -6, -4, -10],\n [9, -4, -9, 9, 6, -4, 10, 10],\n [7, -7, -2, 11, 2, 9, -7, 7],\n [11, -3, 11, 12, 9, 5, 3, -9],\n [7, 0, 11, -8, 7, 11, 6, 5],\n [7, 4, 3, -12, 8, -12, 7, 11],\n [1, 11, -11, 2, -10, 0, 6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498300", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, 2, -2, 5, -2, 0, -6, 0],\n [2, -4, 4, 7, -1, 2, -7, 6],\n [-2, 4, -9, -2, 4, 0, -4, -6],\n [5, 7, -2, -8, -2, -2, 4, -1],\n [-2, -1, 4, -2, -11, -2, -9, -2],\n [0, 2, 0, -2, -2, -11, 7, 0],\n [-6, -7, -4, 4, -9, 7, -3, 4],\n [0, 6, -6, -1, -2, 0, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60592604", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[8, -6, -4, -6, -3, 2, -6, 3],\n [-6, 2, -2, 0, 4, -2, 2, 6],\n [-4, -2, -11, 6, -4, -6, -2, -4],\n [-6, 0, 6, 1, -2, 6, 8, 8],\n [-3, 4, -4, -2, -9, -4, 1, -4],\n [2, -2, -6, 6, -4, 11, 5, 8],\n [-6, 2, -2, 8, 1, 5, 6, 2],\n [3, 6, -4, 8, -4, 8, 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": "2893762861", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[7, 8, 0, -7, -3, 10, -4, -7],\n [-12, 11, 5, 12, 10, -6, -3, -1],\n [8, 11, 2, 4, -10, 12, 2, -12],\n [-2, 11, -7, 3, 8, -1, 9, 8],\n [2, 12, 5, -3, 9, -1, 7, 6],\n [-8, 5, 6, 10, -1, -12, -11, -10],\n [-1, 1, -6, -9, -1, 11, -5, -12],\n [-8, -12, 2, 0, 10, 0, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13478179326", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-1, -2, -3, -6, 10, 10, -6, 4],\n [-2, -6, -4, 10, 4, 2, -3, -2],\n [-3, -4, 5, -1, 0, 2, 4, 2],\n [-6, 10, -1, 3, -6, 9, 0, 6],\n [10, 4, 0, -6, 7, 4, 11, -3],\n [10, 2, 2, 9, 4, -9, -4, -11],\n [-6, -3, 4, 0, 11, -4, 8, 6],\n [4, -2, 2, 6, -3, -11, 6, -12]], determine the value at position (8, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43690579", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[3, -6, -4, -3, 0, -2, -2, -7],\n [-6, 0, -6, 4, 0, -5, -1, -6],\n [-4, -6, -10, 7, -10, -2, -4, 2],\n [-3, 4, 7, -2, -3, -1, -11, 0],\n [0, 0, -10, -3, 12, -2, 2, -4],\n [-2, -5, -2, -1, -2, -12, 8, 2],\n [-2, -1, -4, -11, 2, 8, 7, -4],\n [-7, -6, 2, 0, -4, 2, -4, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319313530", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, 8, 7, -12, 3, 10, -9, 11],\n [-4, -5, -12, -5, -8, -12, 12, 12],\n [-6, 2, -6, -12, -4, -12, -1, -6],\n [12, -4, -8, -1, 9, -11, 5, -4],\n [-12, -3, 1, 8, 1, -6, -1, 9],\n [9, -7, 0, -5, 10, 8, -11, -3],\n [-7, 3, -3, 2, 8, 7, -3, -2],\n [8, 12, -11, 9, 12, -3, 8, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352632196", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 5th power of the matrix:\n[[-2, 9, 2, -9, -8, 11, -12, -12],\n [-3, -9, 0, 1, 6, -8, -2, -5],\n [-12, -8, 8, 5, 0, -8, 11, -6],\n [-1, -11, 0, 1, -7, 3, -3, -2],\n [-12, 2, 3, -3, -3, -10, -2, -2],\n [3, -7, -4, -12, -7, 5, 12, 0],\n [-11, 6, -11, -9, -9, -3, 4, 11],\n [3, 8, -5, -7, -11, 10, 2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1513509", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (7, 1) of the result:\nA =\n[[10, -2, 8, 3, -9, -2, 1, -5],\n [-7, 8, 10, 6, 12, -9, -9, 11],\n [-7, -2, -12, -11, -4, 3, -7, 10],\n [-4, 6, -8, 8, -3, -6, -11, 7],\n [-9, -5, -10, -11, -4, -2, -9, -4],\n [-7, -12, -10, -6, -4, -5, 8, 0],\n [11, 5, 6, 11, -4, 11, 7, -7],\n [8, -1, -9, -4, -3, -10, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19456607", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 5th power of the matrix:\n[[-5, 0, 5, -7, 5, 6, -1, 7],\n [0, -11, -8, 6, -6, -7, -6, 3],\n [5, -8, -9, -4, -7, 2, 0, -6],\n [-7, 6, -4, -10, 4, -4, -6, -10],\n [5, -6, -7, 4, 10, -2, 2, -6],\n [6, -7, 2, -4, -2, 10, 4, -8],\n [-1, -6, 0, -6, 2, 4, 8, 3],\n [7, 3, -6, -10, -6, -8, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2740168", "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, 0, 2, -1, -2, -6, 0],\n [-3, -8, -6, -1, -11, 0, 9, -8],\n [0, -6, -12, 8, -4, -2, 2, 8],\n [2, -1, 8, -7, -8, -5, 0, -4],\n [-1, -11, -4, -8, -3, -10, 3, 10],\n [-2, 0, -2, -5, -10, -11, -6, -10],\n [-6, 9, 2, 0, 3, -6, 11, 2],\n [0, -8, 8, -4, 10, -10, 2, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89143871216", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[6, 0, -3, -1, 9, -4, 0, 2],\n [0, 10, 0, 2, 6, 3, -8, 2],\n [-3, 0, -10, 2, -4, 0, -7, 0],\n [-1, 2, 2, -11, 5, 4, 5, 2],\n [9, 6, -4, 5, -6, -1, 0, -4],\n [-4, 3, 0, 4, -1, -2, -6, -3],\n [0, -8, -7, 5, 0, -6, 7, -8],\n [2, 2, 0, 2, -4, -3, -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": "1026931529", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[4, 4, -6, -2, 3, 2, 0, -8],\n [4, -4, -4, 2, -1, 6, 0, -2],\n [-6, -4, -8, -8, -6, 6, 8, -1],\n [-2, 2, -8, 7, 2, -12, 1, 8],\n [3, -1, -6, 2, -7, 2, 2, 11],\n [2, 6, 6, -12, 2, 1, 7, 2],\n [0, 0, 8, 1, 2, 7, -9, 0],\n [-8, -2, -1, 8, 11, 2, 0, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55508536", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, -4, -2, 4, -2, -1, 8, 2],\n [-4, -12, -4, 0, 2, 9, -10, 1],\n [-2, -4, 3, 6, -6, 8, -4, 10],\n [4, 0, 6, 10, -2, 4, 2, -6],\n [-2, 2, -6, -2, -3, 4, -6, -7],\n [-1, 9, 8, 4, 4, -2, -6, -8],\n [8, -10, -4, 2, -6, -6, 12, 4],\n [2, 1, 10, -6, -7, -8, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1834158318", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (5, 5) of the result:\nA =\n[[4, 3, -1, 6, 6, -5, 0, 4],\n [3, 4, 0, -2, 4, -2, 1, -1],\n [-1, 0, -11, -2, 0, 0, -1, -2],\n [6, -2, -2, -4, 1, 6, 0, 10],\n [6, 4, 0, 1, -3, 4, 4, 2],\n [-5, -2, 0, 6, 4, 9, 5, 0],\n [0, 1, -1, 0, 4, 5, 1, -2],\n [4, -1, -2, 10, 2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18232529", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[5, -4, 4, -4, 0, 0, -2, 7],\n [-4, -4, 3, 5, 0, -3, 4, 0],\n [4, 3, -7, -2, 0, -4, 0, 5],\n [-4, 5, -2, -6, 4, 0, 2, 7],\n [0, 0, 0, 4, 1, 2, -2, 2],\n [0, -3, -4, 0, 2, 6, -6, 4],\n [-2, 4, 0, 2, -2, -6, 12, 0],\n [7, 0, 5, 7, 2, 4, 0, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21996950", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[4, 0, -4, 0, 0, -6, -9, 1],\n [0, -7, -2, -2, -2, -4, -5, 6],\n [-4, -2, -8, 2, -6, 3, -4, -2],\n [0, -2, 2, -10, -5, -5, 0, -1],\n [0, -2, -6, -5, -8, -2, 4, -2],\n [-6, -4, 3, -5, -2, 12, 2, 2],\n [-9, -5, -4, 0, 4, 2, 5, 4],\n [1, 6, -2, -1, -2, 2, 4, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "472468890", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[4, -12, 5, 4, 12, 5, 6, 12],\n [-8, 0, 11, 10, -7, 0, 5, -9],\n [-4, 10, -10, 9, 11, 11, -5, 0],\n [11, 9, -2, -3, -2, -10, 12, 1],\n [1, 6, -9, -12, -11, -7, 0, 1],\n [-12, 12, -5, 5, 1, -11, 11, -1],\n [11, -12, 8, 2, -2, 5, 4, -10],\n [2, 0, -10, 0, -4, -3, -12, -11]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[12, 0, 0, 6, 2, -3, -1, -3],\n [0, -4, -2, 6, 2, 2, -1, -8],\n [0, -2, -12, 1, -2, -6, 0, -9],\n [6, 6, 1, 6, 0, 0, 5, -4],\n [2, 2, -2, 0, -5, 0, -10, -4],\n [-3, 2, -6, 0, 0, 3, -4, -6],\n [-1, -1, 0, 5, -10, -4, 6, -3],\n [-3, -8, -9, -4, -4, -6, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8735435235", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-10, 6, 5, -6, -8, -4, -4, 3],\n [6, 5, -2, -4, 2, -4, -4, -3],\n [5, -2, -2, 0, 0, 5, -4, -4],\n [-6, -4, 0, -1, 9, -6, 4, -4],\n [-8, 2, 0, 9, -3, 0, 2, -3],\n [-4, -4, 5, -6, 0, 9, -4, -6],\n [-4, -4, -4, 4, 2, -4, -9, -2],\n [3, -3, -4, -4, -3, -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": "387459900", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^6 where A is:\n[[-3, 4, 6, 4, 2, 4, 5, 11],\n [4, 5, 1, -2, -10, 1, -6, -8],\n [6, 1, -2, -2, 5, -2, -1, -7],\n [4, -2, -2, 8, -8, 1, -6, 0],\n [2, -10, 5, -8, -2, 6, 8, -1],\n [4, 1, -2, 1, 6, -3, 8, 4],\n [5, -6, -1, -6, 8, 8, 11, 10],\n [11, -8, -7, 0, -1, 4, 10, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53959620", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 6) of the matrix A^7 where A is:\n[[-11, 10, 6, 2, 0, -11, -10, 1],\n [7, 0, 10, 3, -1, -12, -7, 0],\n [9, 11, -11, 5, 4, 6, 10, 2],\n [-5, 10, -4, -5, -5, -2, 5, 4],\n [9, 10, -7, 10, 11, -11, -12, -3],\n [-5, 3, 11, 1, 11, 3, 1, -6],\n [5, 7, -4, 11, -9, 11, 3, 9],\n [-2, -4, 4, 9, -2, 7, -10, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111286436", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (3, 5) of the result:\nA =\n[[-2, -5, -3, -7, 4, -7, -6, 0],\n [-7, -10, 12, 0, -3, -9, -8, 8],\n [6, 5, 11, -6, 8, -12, 4, 11],\n [7, 7, 12, 5, -8, 9, -7, -3],\n [6, -3, -7, -3, -3, 8, -1, 11],\n [-9, 0, -3, 3, 6, -7, -4, 1],\n [11, -3, -5, -10, 4, 6, -10, 1],\n [-7, 6, 5, -1, 2, 12, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82707286", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^5 where A is:\n[[-1, 3, -5, 0, 0, -4, 0, -12],\n [3, 2, 10, -10, -4, -10, 4, 0],\n [-5, 10, 10, 4, -8, 1, 6, -1],\n [0, -10, 4, 3, -3, 8, -9, 3],\n [0, -4, -8, -3, -6, -2, 2, 0],\n [-4, -10, 1, 8, -2, 5, -8, 0],\n [0, 4, 6, -9, 2, -8, -10, 0],\n [-12, 0, -1, 3, 0, 0, 0, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-953247", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, -8, -11, 6, 11, -10, 2, -6],\n [-8, 10, -3, -4, 10, 1, 9, 0],\n [-12, 3, 7, -5, 4, -7, -11, 0],\n [12, -5, 12, -4, 0, 5, 5, -4],\n [-11, -9, 5, 4, -1, 3, 0, -2],\n [1, -3, 10, 8, 6, 11, 8, 4],\n [-4, 1, -8, -10, 9, -5, 5, -10],\n [10, -11, -2, -8, 12, -6, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34237246", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-11, -5, 4, 8, 0, 4, 6, 4],\n [-5, 5, 2, -4, 0, 6, 2, 11],\n [4, 2, -12, -12, 4, 9, -2, -2],\n [8, -4, -12, -3, -6, 8, 4, 6],\n [0, 0, 4, -6, -11, -4, 4, 0],\n [4, 6, 9, 8, -4, 9, -6, 0],\n [6, 2, -2, 4, 4, -6, -1, 6],\n [4, 11, -2, 6, 0, 0, 6, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1934345230", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-4, -2, -5, -6, 1, 2, 1, -6],\n [-2, -4, 10, -2, -4, 0, 12, 0],\n [-5, 10, 7, 0, -4, 3, -1, -3],\n [-6, -2, 0, -3, -2, -10, -4, 12],\n [1, -4, -4, -2, -2, 6, 0, -8],\n [2, 0, 3, -10, 6, -5, -6, -6],\n [1, 12, -1, -4, 0, -6, 11, 4],\n [-6, 0, -3, 12, -8, -6, 4, -7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26103639555", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-3, 7, 7, 8, 0, 10, 1, -1],\n [10, 0, -3, -6, -8, -1, 12, -11],\n [-5, -5, 6, -8, -5, -3, 0, -4],\n [-6, 7, 7, 6, -2, -5, 9, 3],\n [-3, -7, -3, -3, 12, 6, -9, 6],\n [-10, 4, 1, -3, -7, 3, -4, 8],\n [-1, -1, 1, -11, -3, -9, -7, 10],\n [0, 10, 1, -9, -3, -3, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36664973", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 7) of the matrix A^5 where A is:\n[[-1, 0, 4, 0, -4, 2, -2, -2],\n [0, -5, 4, 6, 0, 5, 6, 2],\n [4, 4, -3, -1, 2, 3, -6, 7],\n [0, 6, -1, -10, -3, -4, 3, -4],\n [-4, 0, 2, -3, -1, -6, 4, 3],\n [2, 5, 3, -4, -6, -12, 4, 4],\n [-2, 6, -6, 3, 4, 4, 12, -8],\n [-2, 2, 7, -4, 3, 4, -8, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355566", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[10, 12, -2, 2, -10, -5, 11, -2],\n [12, -6, 2, -2, -4, 6, -2, -4],\n [-2, 2, -12, -4, -5, -4, 3, 10],\n [2, -2, -4, 5, 7, -4, 0, -2],\n [-10, -4, -5, 7, 10, 0, -5, -6],\n [-5, 6, -4, -4, 0, 10, -10, -8],\n [11, -2, 3, 0, -5, -10, 0, -2],\n [-2, -4, 10, -2, -6, -8, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8298212", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-11, 8, -12, 0, 10, -11, -9, -4],\n [-5, 5, 3, -9, -9, 5, -11, 8],\n [-2, 7, 11, -9, 11, 1, 8, 4],\n [12, -5, -12, 6, 6, 8, -6, -12],\n [-12, -3, 0, 9, -8, -1, -10, 6],\n [-9, 2, 0, -2, -11, -4, -1, -9],\n [6, -3, -2, -6, 0, -4, -1, -11],\n [9, 8, -12, -6, -12, 12, 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": "2602993610", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-5, 4, 8, 6, -9, -9, -5, -3],\n [3, 6, -12, -8, -11, 3, 0, -7],\n [-9, 12, -6, -11, 10, -3, 1, -5],\n [-10, -10, -11, 4, 6, -3, -1, 10],\n [-2, -4, 12, 0, -7, 1, 9, -2],\n [-8, -11, -6, 4, -7, 1, -9, -10],\n [-2, -12, 1, -7, 10, 4, 4, 10],\n [-2, 9, -6, 0, -5, -5, -4, 12]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16859598", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-6, 1, 10, 4, 0, -6, 4, 4],\n [1, 5, -4, -8, 2, -5, -8, 8],\n [10, -4, 3, 5, -7, -2, 4, 2],\n [4, -8, 5, 9, -4, 0, 1, 6],\n [0, 2, -7, -4, 10, -3, 8, -4],\n [-6, -5, -2, 0, -3, -6, -4, 1],\n [4, -8, 4, 1, 8, -4, 1, 0],\n [4, 8, 2, 6, -4, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5070059918", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-9, -1, 5, -5, -1, -9, -5, -11],\n [-9, -1, 12, 8, 9, -3, 2, -4],\n [-4, -6, -11, -6, -4, 5, 10, -1],\n [-6, 6, 9, 11, 3, -5, 6, -7],\n [-11, -11, -5, -3, 8, 8, -2, 7],\n [7, 11, -10, 3, -10, -5, 6, -1],\n [5, 0, -2, 0, 8, -10, -7, 10],\n [-10, 12, -12, 1, 10, 7, -6, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83048000", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (3, 8) of the result:\nA =\n[[-4, -12, -3, 0, -1, -9, -6, -3],\n [9, 12, -6, 2, 6, -6, 1, 8],\n [1, 5, -3, -10, -7, 9, 10, 9],\n [-4, 1, 8, 8, 11, -5, -12, -10],\n [9, -7, -12, 5, -3, 10, 4, 8],\n [-12, 9, 10, -5, -1, 6, 1, 6],\n [4, 3, 6, -8, 9, 6, -9, -8],\n [-8, 12, 11, -12, 5, 2, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6030290", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[10, 1, -7, 5, -5, -8, 9, -5],\n [-7, -3, -10, 0, -6, -9, 0, -7],\n [3, 9, 8, -12, 11, 0, -11, 7],\n [6, -7, -2, 4, -4, -8, -8, 3],\n [-9, 7, 0, 4, -4, 12, 0, 3],\n [7, -3, -3, 7, 3, 10, 7, -12],\n [-2, 0, 12, 5, -8, -9, 11, -7],\n [2, 10, -11, -9, 1, -9, 5, 7]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35457757439", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[3, -2, -3, 0, 4, -2, 4, -8],\n [-2, -2, -6, -6, -4, 5, -11, 5],\n [-3, -6, 12, -4, 12, 0, 2, 8],\n [0, -6, -4, 10, -4, 7, 7, 1],\n [4, -4, 12, -4, 9, -1, 8, -4],\n [-2, 5, 0, 7, -1, 8, 10, -4],\n [4, -11, 2, 7, 8, 10, -11, 8],\n [-8, 5, 8, 1, -4, -4, 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": "3943848546", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (4, 6) of the result:\nA =\n[[-4, -10, 9, 1, -10, -7, 10, 8],\n [6, 11, 0, -8, -12, -1, 2, 12],\n [6, -11, -10, -6, -2, -3, -5, -11],\n [1, 0, -6, 8, -4, -6, -12, -12],\n [-7, 12, -12, 3, -10, 0, 8, -9],\n [4, -3, -9, 7, -1, 0, -9, 3],\n [6, -6, -12, 3, -11, -12, 1, 7],\n [-8, 2, -3, 8, -11, -2, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1022222", "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, 10, 4, -4, -2, 4],\n [-2, -11, 4, -3, 2, -4, 6, 1],\n [1, 4, -1, 3, 2, -1, 6, -2],\n [10, -3, 3, 6, 0, 5, 2, -3],\n [4, 2, 2, 0, -2, 0, 7, 10],\n [-4, -4, -1, 5, 0, -2, -2, -6],\n [-2, 6, 6, 2, 7, -2, -3, 10],\n [4, 1, -2, -3, 10, -6, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1750636669", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^7 where A is:\n[[12, -3, -6, 5, 7, 1, -1, -5],\n [12, -6, -8, -12, 2, -4, -1, 9],\n [5, -2, -3, -3, 5, -12, 7, -2],\n [-11, -2, 12, -11, -4, -12, 10, -7],\n [9, -11, 2, -12, 11, 11, 5, -9],\n [0, -9, 2, -11, -4, -1, 1, 7],\n [-9, 2, -9, -8, -3, -1, -1, -5],\n [-9, -10, -12, 5, 7, 12, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124621101", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-7, -1, 2, 6, -4, 6, -1, -6],\n [-1, 2, 6, -2, 6, 2, 10, 8],\n [2, 6, -3, 4, 0, 2, -1, -4],\n [6, -2, 4, -12, 7, -8, 8, -1],\n [-4, 6, 0, 7, -4, -2, -3, 4],\n [6, 2, 2, -8, -2, -1, -2, -10],\n [-1, 10, -1, 8, -3, -2, 3, -4],\n [-6, 8, -4, -1, 4, -10, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-791024", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[0, 8, -7, -2, -7, -8, 6, 2],\n [8, -9, 1, 4, 2, -3, -6, 6],\n [-7, 1, 6, -4, -4, -2, -2, 4],\n [-2, 4, -4, -9, 5, 3, 2, -2],\n [-7, 2, -4, 5, 8, -10, 10, -4],\n [-8, -3, -2, 3, -10, 4, 12, -7],\n [6, -6, -2, 2, 10, 12, -10, -11],\n [2, 6, 4, -2, -4, -7, -11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2518025", "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, -6, -10, -5, -2, 8, -8],\n [-2, 8, -1, 8, 2, 0, 4, 0],\n [-6, -1, -9, -2, 4, 3, -4, 6],\n [-10, 8, -2, -4, 2, -1, -2, 10],\n [-5, 2, 4, 2, -10, -2, 1, 4],\n [-2, 0, 3, -1, -2, -2, 2, -12],\n [8, 4, -4, -2, 1, 2, -3, -10],\n [-8, 0, 6, 10, 4, -12, -10, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3093727240", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-1, 3, 0, 4, -12, 2, -2, 9],\n [3, 8, 9, -6, -4, -2, 10, 0],\n [0, 9, -9, 7, 1, -5, 6, 4],\n [4, -6, 7, 12, -2, 10, -2, -4],\n [-12, -4, 1, -2, 8, -6, -2, -2],\n [2, -2, -5, 10, -6, -1, -4, 1],\n [-2, 10, 6, -2, -2, -4, -3, 6],\n [9, 0, 4, -4, -2, 1, 6, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5720559510", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, 4, -5, 9, 2, -1, -4, -5],\n [4, -5, 4, -8, 8, -1, 2, -3],\n [-5, 4, 3, 0, -5, 0, 3, -4],\n [9, -8, 0, 5, -4, -6, 8, 0],\n [2, 8, -5, -4, 5, 8, 4, -5],\n [-1, -1, 0, -6, 8, -5, 0, 0],\n [-4, 2, 3, 8, 4, 0, 1, 4],\n [-5, -3, -4, 0, -5, 0, 4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48004307", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[6, 0, -3, 3, 6, 0, -2, 2],\n [0, -5, -4, -5, -2, 2, 0, 0],\n [-3, -4, 6, 4, -1, -11, 0, -10],\n [3, -5, 4, -12, -6, -2, -2, -1],\n [6, -2, -1, -6, -8, -2, -5, 2],\n [0, 2, -11, -2, -2, 11, 2, -4],\n [-2, 0, 0, -2, -5, 2, -6, -7],\n [2, 0, -10, -1, 2, -4, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13341948", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (1, 3) of the result:\nA =\n[[-10, -11, -3, -7, 10, -6, 3, -7],\n [3, 11, -1, 9, 2, 9, -10, 3],\n [5, 2, 10, -7, 4, -11, -11, 4],\n [6, -8, -9, 5, -5, -4, 11, 10],\n [5, 9, -2, 3, 3, -9, 8, -4],\n [0, 12, 7, -5, -2, 8, -4, 5],\n [7, -10, 10, 5, 6, -4, 11, 5],\n [9, 3, 1, 6, 9, 2, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356599", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 7) of the matrix A^7 where A is:\n[[-1, 0, 4, -7, 3, -6, -1, 0],\n [0, 2, 1, -2, 8, 3, -2, -8],\n [4, 1, -8, 0, -1, 8, 9, 0],\n [-7, -2, 0, 11, -2, 4, -4, 5],\n [3, 8, -1, -2, -8, -2, 10, 2],\n [-6, 3, 8, 4, -2, 8, 0, 4],\n [-1, -2, 9, -4, 10, 0, -9, -9],\n [0, -8, 0, 5, 2, 4, -9, 8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-853959226", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[5, 9, -3, -7, -11, 7, -2, 5],\n [1, 7, 0, -6, 8, 7, -3, 6],\n [0, 9, -11, 7, -1, -5, 5, 12],\n [-11, 3, -5, 3, -5, 10, 0, -7],\n [-12, -11, -6, 0, -9, -4, 6, 7],\n [-10, 10, -11, 3, -3, -1, 5, -11],\n [1, -1, 7, 11, 11, 11, -5, 10],\n [9, -6, 0, 2, 1, -8, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10419788022", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-8, 10, -4, -3, 4, 12, -10, -12],\n [-6, 2, 6, -5, -2, -11, 7, -11],\n [-2, 7, 4, -3, -8, -10, -4, 7],\n [9, 12, -11, 10, 6, 4, 12, 12],\n [-1, 7, -4, 10, -9, 5, 3, 8],\n [11, -3, 9, -1, -2, -8, 7, -2],\n [3, 2, -7, 0, 3, -10, 5, -12],\n [12, 4, 7, -7, -4, -9, -6, 10]], determine the value at position (2, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241414", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the 5th power of the matrix:\n[[9, 6, -7, 2, -2, 6, -5, -8],\n [6, -6, 2, 6, 7, -4, 2, -2],\n [-7, 2, -10, 7, 4, 1, 0, 2],\n [2, 6, 7, 5, 0, 8, -4, 6],\n [-2, 7, 4, 0, -2, 0, 0, -2],\n [6, -4, 1, 8, 0, -2, 4, -7],\n [-5, 2, 0, -4, 0, 4, 7, 2],\n [-8, -2, 2, 6, -2, -7, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175630", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-4, -8, 1, -6, -1, 8, 5, -2],\n [11, -4, -2, 5, -11, 7, 0, 2],\n [-5, -8, -8, -6, -1, 7, -1, -4],\n [-9, -5, 6, 9, -12, 10, -2, 10],\n [0, 5, 8, 7, -3, 0, 12, -1],\n [0, -11, -10, 4, 8, 6, -1, 3],\n [7, 7, 9, -3, 10, 10, 2, -5],\n [6, -8, -1, -3, 9, 1, 9, -1]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-460427258", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[11, 0, 8, 8, 4, -12, 9, -3],\n [-8, -2, -3, -7, 2, -4, -5, 10],\n [10, -7, -7, 4, -1, -6, -8, 3],\n [10, -7, -5, -10, -5, -6, 4, 6],\n [7, 1, 12, -7, -6, -8, 6, 8],\n [-6, -4, -1, 12, 2, 2, 11, 8],\n [3, 10, 7, 2, -8, -1, -9, -10],\n [-12, 0, -8, -1, -11, -7, -8, 5]], determine the value at position (5, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321873807", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (2, 5) of the result:\nA =\n[[11, -8, 5, 3, 4, -11, 4, -3],\n [-10, 1, 6, -1, -12, -6, -6, 0],\n [-4, -8, -9, -8, 11, 11, 7, -1],\n [-5, 0, -9, 7, -2, 2, 11, 1],\n [5, 7, -12, -12, -2, 11, 7, -7],\n [-8, 0, -3, -7, -9, -9, -6, 3],\n [-12, -4, 6, 7, 2, -4, 8, 7],\n [9, -12, -12, 3, -8, 8, -4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24014456", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[6, 3, -10, -9, -1, -6, 2, 10],\n [2, -8, 12, 10, -11, -1, 6, 10],\n [-8, 10, 12, 12, -10, 11, -7, 0],\n [7, 2, -9, 7, -6, 9, 5, 8],\n [8, 9, -6, -1, -2, 11, -1, 2],\n [-5, -2, 8, 5, -3, -5, -7, -10],\n [7, -1, 4, -10, 7, 5, -1, 9],\n [11, 3, 9, -3, 6, -4, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200452350", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[1, 7, 0, -2, 8, -2, 6, -2],\n [7, -5, -6, 4, -4, -2, 1, -8],\n [0, -6, 10, -4, -6, 10, 4, 3],\n [-2, 4, -4, 0, -5, 6, -2, 8],\n [8, -4, -6, -5, -7, -2, 6, 0],\n [-2, -2, 10, 6, -2, -11, 2, -2],\n [6, 1, 4, -2, 6, 2, -7, -4],\n [-2, -8, 3, 8, 0, -2, -4, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-660007287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[2, 2, -1, -2, 3, 2, -2, -3],\n [2, -2, 2, -2, -8, -2, -7, -4],\n [-1, 2, 5, 0, -2, 3, -2, 7],\n [-2, -2, 0, 12, 3, 8, 6, -4],\n [3, -8, -2, 3, -3, 2, -8, -2],\n [2, -2, 3, 8, 2, 7, 2, 8],\n [-2, -7, -2, 6, -8, 2, 3, 0],\n [-3, -4, 7, -4, -2, 8, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403609160", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 6) of the 5th power of the matrix:\n[[-5, -4, 2, -2, -4, 10, 9, 2],\n [-4, 4, 7, 6, 3, -2, -4, 5],\n [2, 7, -6, 0, 10, 3, -2, 4],\n [-2, 6, 0, -12, -10, -4, -10, 2],\n [-4, 3, 10, -10, 9, 1, -10, 4],\n [10, -2, 3, -4, 1, -9, 2, -2],\n [9, -4, -2, -10, -10, 2, -8, -2],\n [2, 5, 4, 2, 4, -2, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-606008", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[4, -1, -1, -8, 7, -6, -11, 0],\n [11, -4, 2, 2, -12, 8, 7, 8],\n [12, -10, -12, 6, 7, 0, 2, 0],\n [5, 4, -12, 2, 11, -9, -11, 6],\n [-5, 9, 3, -5, -3, 3, -8, 6],\n [-7, -3, 11, -8, 8, 6, 6, 0],\n [2, -5, -2, -12, -9, 12, 9, 9],\n [0, -6, -6, -7, 12, -5, -1, 11]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-989952", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^5 where A is:\n[[5, 10, 2, 3, -12, -3, 2, 11],\n [0, 6, 0, -4, 8, 3, 10, 1],\n [10, -4, 5, -9, -1, 11, -8, -2],\n [-8, 6, 8, -6, -9, -5, -7, -7],\n [9, -9, 1, -10, -3, 9, -7, 5],\n [-3, -4, 3, 7, -9, -2, -1, 11],\n [6, -3, -6, -6, 5, -10, -1, 1],\n [7, -11, -4, -3, -7, 4, 2, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1067080", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[11, 9, 0, -3, -1, 10, 9, 3],\n [-11, -10, -5, 7, 2, 11, 6, 5],\n [10, -12, 6, -11, -8, 5, 3, -3],\n [8, -10, 12, -3, 12, 11, 0, 8],\n [-3, -2, -6, -11, 6, 5, -2, 4],\n [-10, 7, -1, 12, -11, 12, -12, -4],\n [9, 11, 6, -5, -4, -6, -9, 9],\n [3, -7, 5, -11, -2, -8, 4, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1973648659", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-10, 3, -3, 2, 0, -6, -12, 0],\n [3, -3, -1, -4, 2, 5, 4, 2],\n [-3, -1, -10, 0, -8, -6, -3, 2],\n [2, -4, 0, -5, 9, 4, -6, -4],\n [0, 2, -8, 9, -7, 8, -3, -8],\n [-6, 5, -6, 4, 8, 9, 0, 4],\n [-12, 4, -3, -6, -3, 0, 1, 6],\n [0, 2, 2, -4, -8, 4, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13465690", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-1, 8, 9, -9, 10, -6, -1, 10],\n [-2, -6, -3, -4, -11, -8, -3, 12],\n [1, 3, -11, 6, 10, -4, 1, 2],\n [6, -5, 2, -5, -9, -7, -2, -1],\n [11, -4, 5, 4, 8, -10, 0, -7],\n [1, -12, -9, 9, 5, -2, -2, -5],\n [-9, -11, -12, 11, -3, 4, -6, -6],\n [0, 9, 11, -12, -12, 0, -12, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1202953749", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 12, -4, 8, -6, 12, -6, 6],\n [12, -11, -10, 4, -2, 2, 8, -1],\n [-4, -10, -11, 2, 3, -6, -2, -4],\n [8, 4, 2, 11, 6, -10, 4, 8],\n [-6, -2, 3, 6, -1, 4, -9, -8],\n [12, 2, -6, -10, 4, -6, 2, 4],\n [-6, 8, -2, 4, -9, 2, -4, 6],\n [6, -1, -4, 8, -8, 4, 6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27662718852", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-7, 0, 2, -3, 9, -3, -9, 1],\n [-5, -7, -1, -5, -7, 2, 12, 6],\n [1, -10, 5, -3, 1, 1, 9, -6],\n [-6, 8, 9, 10, -2, 5, -3, 2],\n [-1, 10, 4, 9, 11, 4, -12, -7],\n [8, 2, 6, 1, -3, -3, 10, -6],\n [-6, 1, 2, 9, 7, -4, 2, -4],\n [10, -6, 11, -2, -8, -4, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5923390", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[10, 3, -1, 6, -3, 2, 2, -1],\n [3, -7, 0, -2, 10, -2, 8, 5],\n [-1, 0, -2, 6, 0, -4, -4, 8],\n [6, -2, 6, -11, 0, -4, 8, 0],\n [-3, 10, 0, 0, -6, 4, 0, 5],\n [2, -2, -4, -4, 4, 9, -2, 0],\n [2, 8, -4, 8, 0, -2, 4, -7],\n [-1, 5, 8, 0, 5, 0, -7, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "899873481", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-5, -7, 6, 8, 10, -4, 7, 3],\n [5, 6, -6, -5, 8, 6, -12, 0],\n [-12, -2, -11, 8, -10, 0, -6, -11],\n [-11, -10, 0, -1, -12, 5, -8, 6],\n [-3, -7, 5, 2, 1, 11, 3, -9],\n [6, 8, -5, 12, -12, 7, 9, 9],\n [0, -4, -12, 2, 2, 1, -8, 4],\n [-7, -4, 7, 12, 6, 10, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1469407827", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-6, -5, 2, -7, -12, -4, -6, 9],\n [7, 6, -9, -12, -4, -11, 3, -11],\n [-10, 1, 0, 4, -3, -10, -9, 12],\n [-8, -2, -7, -12, 6, -6, 10, -3],\n [-1, -1, -12, -4, 4, 10, -1, -11],\n [-4, -1, 12, 12, -9, 9, -1, 5],\n [-10, 9, -12, 10, 5, 11, 8, 10],\n [-5, 6, 9, 12, -9, 10, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879373340", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 7) of the 6th power of the matrix:\n[[10, 4, 1, 6, -2, -4, 4, -12],\n [4, 4, 2, 2, 10, 7, 0, 2],\n [1, 2, 9, 10, 2, 0, -4, -3],\n [6, 2, 10, -5, 6, -2, 8, 3],\n [-2, 10, 2, 6, 5, -1, 4, 0],\n [-4, 7, 0, -2, -1, 3, 8, 0],\n [4, 0, -4, 8, 4, 8, -6, -10],\n [-12, 2, -3, 3, 0, 0, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2705390", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (1, 3) of the result:\nA =\n[[-6, 10, -5, 12, -4, 1, 10, -4],\n [2, 8, -9, -10, 9, -3, 12, -9],\n [5, -2, 6, 6, 5, 0, 12, -9],\n [-10, 3, 1, -3, -7, -5, 11, 3],\n [-3, 9, 8, -6, 6, 5, 0, -5],\n [1, -4, -1, -7, 7, 9, 10, -1],\n [11, 6, -1, 9, 9, -6, 2, 3],\n [-9, -7, 3, 2, -11, 11, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-792282", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[12, -4, 0, 0, -8, 0, -2, 3],\n [-4, 4, 8, 10, 7, -8, 8, 3],\n [0, 8, 9, -6, 4, 2, 0, -8],\n [0, 10, -6, 11, 6, 0, -2, -1],\n [-8, 7, 4, 6, 5, -8, -8, -4],\n [0, -8, 2, 0, -8, -2, -3, 2],\n [-2, 8, 0, -2, -8, -3, -5, 0],\n [3, 3, -8, -1, -4, 2, 0, 8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119515115261", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-3, 1, 12, -7, 3, 12, -1, -9],\n [-12, -9, 12, 0, -6, 2, -7, 1],\n [5, -9, -12, -10, 0, 5, -9, -9],\n [-2, 1, 12, -6, -10, -6, -5, -1],\n [-6, 11, 3, 12, 4, 9, -9, 4],\n [5, -9, 4, 2, 9, 4, 0, 12],\n [-10, -1, 4, 9, 9, -6, -6, -2],\n [3, -9, 3, -8, 6, 9, 1, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30824427039", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-4, 12, 0, 3, 8, -9, -6, -10],\n [7, 2, 12, 8, 1, -6, 5, 12],\n [-8, 8, 7, -5, 7, 5, 8, 6],\n [7, -10, 10, -7, 5, 2, 1, 11],\n [8, 9, -5, -2, -2, -1, 3, -6],\n [-10, -11, -10, -5, 7, -5, -9, 10],\n [0, 9, 4, 11, 9, 5, -8, -1],\n [-11, -3, -6, 2, 9, -6, 2, 3]], determine the value at position (3, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103331956", "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, -12, 2, -10, -3, 3, -11, 4],\n [-12, -9, -2, 4, -11, -12, -7, -2],\n [-9, 11, -2, -8, -3, -8, 11, 9],\n [9, -10, -7, 0, 3, -6, 5, -10],\n [-7, -3, 3, 12, 0, 12, 11, 11],\n [-4, 3, -2, -4, -3, -2, 12, 8],\n [9, 2, 8, 0, 4, -9, -2, -12],\n [-12, -10, 10, 2, -12, 10, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1312123920", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the 6th power of the matrix:\n[[-4, -8, -7, 2, -4, -10, 6, 8],\n [0, 0, 10, -10, 7, 1, -11, 12],\n [-3, -4, 0, -2, -11, 3, -8, -12],\n [-5, 9, 3, 1, -11, 5, 8, -6],\n [12, 12, -1, 2, 9, -11, 9, 4],\n [-2, -11, 6, -8, 4, 3, 0, 0],\n [0, -8, -8, 7, 6, -6, -2, 10],\n [-12, -6, -10, 0, -10, -7, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4697614", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 7) of the 7th power of the matrix:\n[[-9, -6, -9, 6, 10, 0, 4, 1],\n [-6, 9, 3, -2, 1, -2, 0, 5],\n [-9, 3, -9, 3, -4, -11, -10, 7],\n [6, -2, 3, 0, -4, -1, -3, -4],\n [10, 1, -4, -4, -3, -2, 2, -2],\n [0, -2, -11, -1, -2, 9, -2, 4],\n [4, 0, -10, -3, 2, -2, -2, 0],\n [1, 5, 7, -4, -2, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-270791740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (7, 3) of the result:\nA =\n[[2, 2, 8, 2, -7, -6, -2, 7],\n [2, -2, 2, 4, -12, -1, 9, 1],\n [8, 2, -11, -6, 0, 1, -6, 0],\n [2, 4, -6, -1, 1, 4, -3, 6],\n [-7, -12, 0, 1, -3, 1, 2, -8],\n [-6, -1, 1, 4, 1, 4, -4, -8],\n [-2, 9, -6, -3, 2, -4, -8, -6],\n [7, 1, 0, 6, -8, -8, -6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64838306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[0, 4, -4, -9, -4, -6, 10, -11],\n [5, 8, 2, -3, 4, -6, -2, -6],\n [-2, 11, 10, 11, 2, 6, 6, 11],\n [12, -3, 3, 7, -5, -12, -11, -3],\n [-3, -3, -4, 5, -11, 11, -8, 8],\n [-2, -7, -5, -5, 12, -3, -2, 6],\n [12, 1, -2, -10, -12, 8, 10, -10],\n [-4, -12, 9, -1, -1, -7, -5, -10]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2837788627", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[8, -2, -4, -2, 2, -6, 3, 2],\n [-2, -5, 0, 6, -2, -10, -6, 0],\n [-4, 0, 8, -6, -8, 4, 6, 1],\n [-2, 6, -6, -5, 4, -3, 2, -8],\n [2, -2, -8, 4, 8, -4, -6, 7],\n [-6, -10, 4, -3, -4, 5, -4, 0],\n [3, -6, 6, 2, -6, -4, -11, 1],\n [2, 0, 1, -8, 7, 0, 1, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4872106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-8, -11, 6, 3, 0, -8, 4, 8],\n [-11, -4, 3, 0, -9, 8, 2, -8],\n [6, 3, -10, 8, -4, 8, 2, 2],\n [3, 0, 8, -10, 1, 0, 2, -8],\n [0, -9, -4, 1, 11, 6, 0, 0],\n [-8, 8, 8, 0, 6, -3, 0, -6],\n [4, 2, 2, 2, 0, 0, 10, 2],\n [8, -8, 2, -8, 0, -6, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73172085", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-11, -2, 3, 5, -11, -3, 0, -5],\n [-6, 3, 4, -4, -5, 12, 7, -8],\n [-8, 12, 11, 0, 3, 9, -2, 2],\n [4, 2, 10, 12, -1, -9, -9, 8],\n [3, 2, -5, 8, 7, -5, -2, 8],\n [11, 4, -10, -6, -1, -12, -2, -8],\n [-7, 1, 4, 10, 12, 12, -10, -9],\n [-12, -9, 1, 8, -6, 8, 11, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-345232847", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-12, -8, 0, -11, 6, 5, -6, -4],\n [-8, -3, 5, 0, 6, 1, -2, 6],\n [0, 5, -5, 1, 2, -6, 1, 2],\n [-11, 0, 1, 4, -4, -4, 0, 10],\n [6, 6, 2, -4, -4, -8, 0, 8],\n [5, 1, -6, -4, -8, 11, 0, -2],\n [-6, -2, 1, 0, 0, 0, -11, -5],\n [-4, 6, 2, 10, 8, -2, -5, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15717432", "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, 0, -2, -7, 7, 0, -8, 0],\n [0, -11, 4, 4, -10, 2, 4, -2],\n [-2, 4, -3, 0, -6, 6, -10, 0],\n [-7, 4, 0, -1, 2, 11, 8, 4],\n [7, -10, -6, 2, 10, 0, 0, 5],\n [0, 2, 6, 11, 0, -1, -2, -5],\n [-8, 4, -10, 8, 0, -2, 5, -4],\n [0, -2, 0, 4, 5, -5, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17709118726", "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, -6, 6, 0, 0, 2, 0, -8],\n [-6, -10, 8, 0, 3, 2, 4, -2],\n [6, 8, 10, 4, 3, -3, -10, -8],\n [0, 0, 4, -11, -2, -3, 2, -6],\n [0, 3, 3, -2, -10, -3, -1, 2],\n [2, 2, -3, -3, -3, 0, -10, 2],\n [0, 4, -10, 2, -1, -10, -12, 8],\n [-8, -2, -8, -6, 2, 2, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4015294583", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[6, 0, 0, -4, -7, -10, -2, -8],\n [0, 10, -1, -6, 6, -2, 0, 2],\n [0, -1, 10, -8, 2, -8, 1, 8],\n [-4, -6, -8, -12, -2, 4, 2, -4],\n [-7, 6, 2, -2, -2, -12, -2, -4],\n [-10, -2, -8, 4, -12, -5, 6, 10],\n [-2, 0, 1, 2, -2, 6, 10, -2],\n [-8, 2, 8, -4, -4, 10, -2, -7]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344801900", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^5 where A is:\n[[4, 3, -7, 0, -3, 8, 2, 4],\n [3, 0, 1, 4, -9, -7, -8, 3],\n [-7, 1, -5, 4, 0, 2, 0, 0],\n [0, 4, 4, 3, 4, 5, -1, -4],\n [-3, -9, 0, 4, 8, -6, -1, -1],\n [8, -7, 2, 5, -6, -10, 2, 1],\n [2, -8, 0, -1, -1, 2, 0, -5],\n [4, 3, 0, -4, -1, 1, -5, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1119864", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 6) of the matrix A^7 where A is:\n[[-7, -1, 10, 1, 5, 12, 10, 6],\n [-3, -3, -6, -3, 1, -8, 12, 9],\n [-2, -6, 7, 5, -2, 7, 12, -10],\n [-6, -9, 6, 8, 5, -2, 1, -3],\n [1, -9, 10, -1, -1, -11, -7, -8],\n [6, 8, 2, -3, -6, 6, -5, 2],\n [10, -9, 0, -8, -2, 3, 7, 5],\n [2, 12, -12, -5, -9, -4, 6, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1157353027", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[2, -10, -1, 10, -11, 6, 11, -6],\n [-2, 6, -5, 0, -4, -11, 5, 2],\n [10, -2, 11, 2, 8, 5, 1, 8],\n [6, 0, 12, 3, -11, 12, -11, 4],\n [9, 9, 7, 5, -3, -1, -10, -7],\n [7, -8, 12, 8, -5, 5, 3, 1],\n [-7, -2, -7, -8, 2, -7, 8, 3],\n [5, 8, -12, -10, 10, 7, 11, -10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183606108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (6, 8) of the result:\nA =\n[[-6, -5, -2, 3, -2, 2, 8, 2],\n [-5, -6, 4, 0, -9, 2, 0, 4],\n [-2, 4, 4, 2, 2, 4, -2, 1],\n [3, 0, 2, -9, -6, -6, -1, 0],\n [-2, -9, 2, -6, 3, -11, 6, 6],\n [2, 2, 4, -6, -11, 9, 3, 5],\n [8, 0, -2, -1, 6, 3, 1, -2],\n [2, 4, 1, 0, 6, 5, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717039356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[0, -7, 8, 0, 10, 9, 3, 7],\n [-3, -4, -6, 4, 11, 7, -6, -11],\n [6, -12, -11, -8, 5, -7, -7, 9],\n [3, 3, -10, -10, 10, -9, -7, 11],\n [-10, 12, -4, -10, -7, 8, 7, 11],\n [-4, 2, -4, -8, 8, 3, -10, -4],\n [4, -10, -6, -6, 8, -7, 7, -5],\n [-9, 2, -7, 3, -8, -1, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55070034274", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (5, 6) of the result:\nA =\n[[-10, 8, 0, -8, 6, -6, -4, 4],\n [8, -9, -4, -9, 0, 0, -6, 8],\n [0, -4, -11, -6, -4, 6, -2, 9],\n [-8, -9, -6, -8, 8, -1, 0, 3],\n [6, 0, -4, 8, -7, -3, 10, 11],\n [-6, 0, 6, -1, -3, -10, 4, 5],\n [-4, -6, -2, 0, 10, 4, 2, -6],\n [4, 8, 9, 3, 11, 5, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23527939", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-11, -2, 12, -2, 9, -12, 12, -5],\n [4, -5, 0, 10, -8, -7, 7, 12],\n [12, 1, 4, 3, -4, 6, -11, -9],\n [7, -4, -9, -8, -7, 7, -12, 0],\n [5, -10, 7, -8, 0, -3, -10, -2],\n [-12, 2, 11, 11, -9, 2, -6, 2],\n [-9, -10, 10, 1, -7, -12, -4, -1],\n [5, -10, 8, 6, -10, 11, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112214294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, 1, -10, 8, -6, -6, -3, 8],\n [1, -10, 4, -4, 0, 8, -10, 9],\n [-10, 4, -5, 6, 2, -9, -10, 2],\n [8, -4, 6, 11, 6, -2, 2, 4],\n [-6, 0, 2, 6, -4, 4, -5, -8],\n [-6, 8, -9, -2, 4, -12, -10, 8],\n [-3, -10, -10, 2, -5, -10, -9, -11],\n [8, 9, 2, 4, -8, 8, -11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238280887", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-7, 4, -8, 10, 0, -1, -12, 12],\n [-1, 12, 9, -11, 5, -4, 3, 7],\n [2, 9, -3, -11, -9, 5, 6, 5],\n [1, -5, -8, -8, -5, -2, 11, 10],\n [8, -6, 0, 4, 6, -10, -11, -7],\n [6, 2, -9, 6, -6, 7, 8, 1],\n [-6, 7, 1, 9, 12, 9, -8, 2],\n [-1, 4, 11, 8, -8, 6, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127089947", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-11, 6, 12, -7, -2, -2, 6, -5],\n [6, -2, 2, 2, 4, 10, 0, -8],\n [12, 2, 0, -2, 4, 1, -2, -2],\n [-7, 2, -2, -3, -7, 5, 1, 0],\n [-2, 4, 4, -7, 9, -4, 2, -4],\n [-2, 10, 1, 5, -4, -10, 0, -3],\n [6, 0, -2, 1, 2, 0, -6, 10],\n [-5, -8, -2, 0, -4, -3, 10, -9]], determine the value at position (6, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1502844", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-8, -11, 3, -5, 2, -2, -3, -10],\n [10, -2, 4, -3, 4, 1, 10, -12],\n [12, -4, 11, 11, 2, -9, 7, 8],\n [12, -10, 7, 8, -6, 8, 12, 9],\n [-10, 9, 9, 2, -3, 3, 4, 10],\n [6, -12, -12, 8, 1, -11, -11, 7],\n [-3, 2, 2, -6, -5, -2, 3, 10],\n [12, -6, 7, -4, 12, 6, 11, -12]], determine the value at position (2, 8).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213568820", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[5, -5, -5, 9, -5, 1, 11, -11],\n [-10, -6, -10, 2, -2, -11, 9, 5],\n [1, 5, -11, -9, 1, -6, 2, -7],\n [-8, 7, 5, -2, -5, -1, 5, 2],\n [-5, -9, 8, 2, -2, -12, -11, -5],\n [3, -12, -10, 5, 3, 8, 7, 7],\n [0, 7, -9, -9, 9, -11, 0, 0],\n [7, -6, -6, 4, -3, -1, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164796090", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, 3, -4, 4, -2, 0, 2, 2],\n [3, -8, 6, 11, 6, 6, 0, -2],\n [-4, 6, 2, 1, -5, 4, 11, 0],\n [4, 11, 1, 9, 5, -1, 4, 10],\n [-2, 6, -5, 5, 8, -8, -1, 1],\n [0, 6, 4, -1, -8, 11, 2, 8],\n [2, 0, 11, 4, -1, 2, 2, 2],\n [2, -2, 0, 10, 1, 8, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44931769170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[11, 10, -8, 0, -6, 4, -5, -8],\n [10, -6, -5, -6, 9, -1, -7, 8],\n [8, -9, 10, -10, -8, 6, -5, -8],\n [0, -3, -7, -12, -2, 7, -4, 3],\n [2, -8, 2, -12, 2, -9, 3, 9],\n [-6, 10, -5, 8, 9, -11, -1, -11],\n [1, 6, 7, -7, 9, 6, 4, -10],\n [7, 12, -3, 11, 0, 7, 10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2593325797", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[5, -2, -4, 2, -3, -8, 4, -6],\n [-2, -11, 2, 8, 6, -2, 0, -4],\n [-4, 2, -4, -2, 1, 8, 0, 0],\n [2, 8, -2, -1, -12, 2, -8, -1],\n [-3, 6, 1, -12, 6, -2, -2, 0],\n [-8, -2, 8, 2, -2, -8, 10, 6],\n [4, 0, 0, -8, -2, 10, 5, 4],\n [-6, -4, 0, -1, 0, 6, 4, -8]], determine the value at position (6, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1119772258", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[10, 8, 0, -1, -9, -7, 6, -7],\n [-7, -2, 9, 1, -10, -5, -9, 3],\n [5, -6, -2, -5, 7, -7, 11, 3],\n [-8, 12, -7, -7, -11, -6, -4, 2],\n [8, 1, 8, 0, -8, 4, -8, 11],\n [-10, -4, -4, 9, -9, 7, -2, 4],\n [1, -3, -8, 8, 8, 4, 3, -12],\n [-3, -1, 5, -12, 11, -1, 7, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "566601324", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-5, -4, -5, 10, -1, 1, 2, 0],\n [-4, -9, 6, -4, 3, -8, 1, 6],\n [-5, 6, 11, 0, -2, 1, -8, 8],\n [10, -4, 0, -4, -2, 2, -1, 4],\n [-1, 3, -2, -2, 7, 10, 1, 0],\n [1, -8, 1, 2, 10, -5, 0, -8],\n [2, 1, -8, -1, 1, 0, 4, 4],\n [0, 6, 8, 4, 0, -8, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132290334", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the 7th power of the matrix:\n[[-2, 9, -4, -6, -7, 2, 0, -2],\n [9, 5, 6, -1, 5, -2, -10, -2],\n [-4, 6, 5, -1, 2, 6, 8, 0],\n [-6, -1, -1, -1, -3, -4, 6, 4],\n [-7, 5, 2, -3, 6, 4, 4, 0],\n [2, -2, 6, -4, 4, -12, -2, -4],\n [0, -10, 8, 6, 4, -2, -1, -3],\n [-2, -2, 0, 4, 0, -4, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "655551514", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the 5th power of the matrix:\n[[2, -6, 1, -4, -8, -12, 3, -8],\n [11, -5, 6, 7, -1, -5, -5, 10],\n [-7, 7, -4, -11, 5, -12, -2, 2],\n [-1, -10, 6, 7, 6, -3, 3, -7],\n [-4, -5, 9, 3, -5, 11, 9, 5],\n [-8, 7, -1, -7, -11, -9, 3, 11],\n [1, 4, 6, -9, 5, -1, -11, -7],\n [-7, -10, -5, -1, -10, -11, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36375", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 2) of the matrix A^7 where A is:\n[[-12, 5, 5, -5, 9, 1, 0, 2],\n [2, 0, -9, -9, -8, -10, -1, 7],\n [-1, 7, -6, -6, -12, -1, -10, 2],\n [-4, 9, 9, 7, -4, 1, -10, -5],\n [-7, -1, -11, -10, 1, 4, -10, -9],\n [2, 9, -6, 6, 1, 3, 0, 10],\n [7, 4, 4, 11, -3, -6, 7, 4],\n [9, -1, -2, -3, 10, 9, 9, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48581868", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[2, 4, 6, 5, 2, -2, 4, -6],\n [4, 6, 2, 2, 6, 8, 9, -5],\n [6, 2, -9, 6, 0, 2, 5, 2],\n [5, 2, 6, -6, 2, -2, -5, 10],\n [2, 6, 0, 2, -4, 6, 0, -8],\n [-2, 8, 2, -2, 6, 9, 0, -10],\n [4, 9, 5, -5, 0, 0, 9, -9],\n [-6, -5, 2, 10, -8, -10, -9, -3]], determine the value at position (7, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3650799796", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-4, -8, -10, -2, -3, 3, 7, 6],\n [-12, -2, 2, -6, -5, 3, 5, 11],\n [12, 10, -2, -12, 3, -9, 10, -7],\n [-2, 11, -7, -3, -7, -3, 9, 10],\n [-8, -4, -6, 4, -1, 12, -2, -7],\n [11, 12, -2, -2, 1, 3, -11, -11],\n [-8, 1, 8, -3, -3, 5, 7, -4],\n [-9, 4, 8, -11, 1, 9, -12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1291730552", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-6, -6, -2, -10, -2, 2, 0, -6],\n [-6, -9, 2, 3, 5, 2, -5, -9],\n [-2, 2, -10, 6, -10, 0, -3, -2],\n [-10, 3, 6, -8, 6, -6, -4, -4],\n [-2, 5, -10, 6, 7, 4, 5, 0],\n [2, 2, 0, -6, 4, 8, -4, 8],\n [0, -5, -3, -4, 5, -4, -8, 8],\n [-6, -9, -2, -4, 0, 8, 8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29265644", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-9, 2, 2, -7, -7, -12, -6, -8],\n [9, 4, -6, -9, -10, -1, 2, 7],\n [-4, 8, -1, -8, -5, 2, -6, 6],\n [0, -12, -2, 0, -11, 6, -2, -12],\n [-12, -5, 0, -5, -11, -5, 1, -11],\n [0, -8, -12, -4, 7, -3, -2, 5],\n [4, -7, -2, 11, -9, -12, -12, 9],\n [5, -8, 3, -11, -4, -11, -8, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2924149794", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[4, 6, 8, 1, -6, 2, -2, -1],\n [6, -4, -2, -4, 4, 3, -4, 0],\n [8, -2, -12, 2, 8, 6, -4, 2],\n [1, -4, 2, -9, 2, 2, 0, 0],\n [-6, 4, 8, 2, -3, -1, -4, 0],\n [2, 3, 6, 2, -1, 4, -6, -7],\n [-2, -4, -4, 0, -4, -6, -3, 0],\n [-1, 0, 2, 0, 0, -7, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1261232", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 6, -12, -11, -2, 2, 10, -12],\n [-4, -5, -12, -3, 4, 5, 3, -11],\n [9, 4, -9, -6, -4, -10, 7, 8],\n [-8, 5, 8, 4, -6, 1, 2, 8],\n [9, 1, -4, 3, 6, -12, -5, 5],\n [-11, -9, 8, -12, 6, -2, 11, -7],\n [6, 1, 10, 9, 8, 11, 11, 6],\n [11, 12, 0, -1, -3, 6, -2, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1404873884", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 7) of the 5th power of the matrix:\n[[11, 0, -5, -6, 2, -4, -5, -6],\n [0, 10, -1, -7, -4, -2, -10, 0],\n [-5, -1, -11, 0, 5, 10, 3, -6],\n [-6, -7, 0, -8, -4, 0, 2, 0],\n [2, -4, 5, -4, 2, 7, 0, -2],\n [-4, -2, 10, 0, 7, 11, -7, 9],\n [-5, -10, 3, 2, 0, -7, 1, 5],\n [-6, 0, -6, 0, -2, 9, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "632895", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, 8, 0, -6, 3, 7, 5, -10],\n [8, -11, -2, 1, 8, -6, -7, 6],\n [0, -2, -10, 3, -10, -6, 5, 8],\n [-6, 1, 3, 0, -7, 2, 9, 5],\n [3, 8, -10, -7, -11, 8, 5, -2],\n [7, -6, -6, 2, 8, -11, 2, -6],\n [5, -7, 5, 9, 5, 2, 10, -4],\n [-10, 6, 8, 5, -2, -6, -4, 10]], determine the value at position (1, 7).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3345492110", "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, 8, -3, -1, -8, -5, 2, 10],\n [8, -10, 0, 6, 6, -9, -2, 4],\n [-3, 0, 11, 3, 10, 6, 5, -6],\n [-1, 6, 3, -3, -11, -4, 3, 0],\n [-8, 6, 10, -11, 1, -4, -2, 2],\n [-5, -9, 6, -4, -4, -4, 8, 1],\n [2, -2, 5, 3, -2, 8, -3, -6],\n [10, 4, -6, 0, 2, 1, -6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103848672422", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-11, -4, -9, 6, 4, -12, 11, -11],\n [4, -11, -10, -9, 0, 12, 10, -1],\n [8, -8, 1, -7, -12, 3, -7, 0],\n [0, -2, 3, 9, 1, -2, -8, 12],\n [-3, 8, 12, 2, -6, -10, -2, -4],\n [-3, 10, -9, 12, 9, 12, 7, 5],\n [1, -4, 7, 3, -11, 10, -6, -8],\n [8, 11, 9, 4, -2, -9, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9438355672", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the 5th power of the matrix:\n[[-8, 0, 2, 8, -2, -6, 4, -6],\n [0, -5, -9, -3, -2, 4, 0, -4],\n [2, -9, -9, 1, -5, 4, -4, 0],\n [8, -3, 1, 7, -8, 9, -4, 2],\n [-2, -2, -5, -8, 1, 6, 6, -1],\n [-6, 4, 4, 9, 6, 10, -2, 4],\n [4, 0, -4, -4, 6, -2, 4, 10],\n [-6, -4, 0, 2, -1, 4, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1850234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[12, -2, 2, 0, 0, 0, 3, 7],\n [-2, 9, -3, 10, -3, -2, 0, -5],\n [2, -3, 11, 4, 2, 4, -2, -7],\n [0, 10, 4, 9, 2, 2, -2, 2],\n [0, -3, 2, 2, 12, -11, 0, 0],\n [0, -2, 4, 2, -11, -9, 0, 9],\n [3, 0, -2, -2, 0, 0, 9, 1],\n [7, -5, -7, 2, 0, 9, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113923284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (2, 7) of the result:\nA =\n[[-5, -1, 7, 6, 6, -7, -5, -3],\n [8, 4, -12, 6, -1, 9, -11, 4],\n [-6, 1, 1, -1, 3, 5, -5, -11],\n [-2, -12, -3, 5, 3, -11, 10, 4],\n [3, 6, -8, 10, -7, 11, 4, 3],\n [3, -6, 3, -4, 10, -7, 3, -4],\n [-9, 9, -7, 1, -10, 10, 4, -2],\n [11, -5, -5, 12, -9, 2, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1011784", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the 6th power of the matrix:\n[[-2, -8, 4, -4, 3, -6, 0, 8],\n [-8, -7, 5, 0, 3, 2, -10, -4],\n [4, 5, 1, 8, 6, 3, 1, -3],\n [-4, 0, 8, 8, 4, 6, 0, -2],\n [3, 3, 6, 4, 9, -1, 2, 0],\n [-6, 2, 3, 6, -1, -3, 6, -7],\n [0, -10, 1, 0, 2, 6, 10, -7],\n [8, -4, -3, -2, 0, -7, -7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21823340", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[5, 4, 0, 6, -2, 0, 0, -4],\n [4, 8, 0, -2, -2, 3, 2, 0],\n [0, 0, 7, 2, -9, -4, -2, -4],\n [6, -2, 2, 0, -1, -2, 8, -2],\n [-2, -2, -9, -1, -11, 0, 1, 2],\n [0, 3, -4, -2, 0, 8, 2, -2],\n [0, 2, -2, 8, 1, 2, -9, -2],\n [-4, 0, -4, -2, 2, -2, -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": "10557263", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[1, -6, -3, -1, 10, -5, 10, -2],\n [7, 0, -1, -6, 8, -1, -3, -6],\n [6, -6, 10, 5, 11, 10, 12, -1],\n [-9, 12, -12, -8, -3, -6, 7, -6],\n [12, 0, 1, -8, 8, -11, 1, 8],\n [-5, 7, -11, -5, 7, -8, -1, -6],\n [8, 0, 2, -3, -9, 3, -6, 0],\n [-9, -1, 7, -11, -8, -5, -9, -11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10177291", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 8) of the matrix A^7 where A is:\n[[12, -7, -10, 1, -3, -2, -8, 9],\n [3, -4, 8, 3, -4, 4, -1, 2],\n [-3, -9, 4, 5, 5, -3, -2, 8],\n [-12, -3, -10, -7, 4, -1, -2, 4],\n [-10, -4, 5, -7, -10, -7, -2, -2],\n [-6, 0, 0, -6, 1, -11, -10, -9],\n [-5, 8, -12, -4, 4, 5, -6, -10],\n [9, 3, -5, -8, 4, 6, 5, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127951645", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-8, -6, 5, 0, 9, -2, -8, 9],\n [2, 8, -6, -8, -6, 4, -4, -7],\n [-4, 4, -11, 10, 7, 0, 4, 8],\n [7, -7, 10, 6, -7, -11, 0, 7],\n [-3, -4, 0, -6, 5, 9, 1, -9],\n [-5, -1, -5, 3, -12, 11, -3, -6],\n [1, 4, 6, -8, 6, -10, -12, -5],\n [-4, -8, -12, 4, 12, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10541859764", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-10, -10, 0, 7, -8, -7, 1, -7],\n [12, 4, -4, -9, 10, 2, 9, 12],\n [5, 2, 5, -6, 2, 12, -8, 10],\n [-2, 11, 1, -5, -9, -3, -6, -12],\n [7, -1, 0, 3, 1, 0, -8, 1],\n [0, 1, -1, 10, 9, 7, 2, 6],\n [-2, 9, 2, 8, -1, 6, 3, -9],\n [5, -4, 3, -6, 6, 11, 11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-437455656", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 2) of the matrix A^7 where A is:\n[[4, 3, -6, 5, 6, -6, -5, -8],\n [3, 5, 2, 4, -6, 4, -8, -6],\n [-6, 2, -3, 5, -4, 0, -6, -8],\n [5, 4, 5, 11, 1, -3, 2, 4],\n [6, -6, -4, 1, -2, 1, 1, -4],\n [-6, 4, 0, -3, 1, -11, -2, -3],\n [-5, -8, -6, 2, 1, -2, 0, 10],\n [-8, -6, -8, 4, -4, -3, 10, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1388856113", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 6) of the matrix A^5 where A is:\n[[3, 7, 10, -3, -3, 4, 9, 10],\n [4, -11, -4, 12, 9, -9, -6, -8],\n [6, -9, 5, 9, -10, 10, -9, 1],\n [11, 1, 4, -4, 6, -10, 2, 8],\n [-12, 6, -9, 1, 5, -1, -7, -3],\n [-9, 3, -12, -10, -6, -10, 9, 2],\n [-7, 3, 4, -11, -3, -2, -7, 5],\n [2, 3, 0, 3, -11, 7, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273576", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (8, 1) of the result:\nA =\n[[-5, -2, 6, 7, 7, 2, -2, -6],\n [-2, 10, -8, 8, 4, 0, -6, 4],\n [6, -8, 9, 6, -1, 8, -2, -8],\n [7, 8, 6, -5, 4, -8, -8, 2],\n [7, 4, -1, 4, -12, -4, 0, -1],\n [2, 0, 8, -8, -4, -8, 1, 3],\n [-2, -6, -2, -8, 0, 1, 11, -8],\n [-6, 4, -8, 2, -1, 3, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1456048", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, 0, 2, 8, -4, 2, -8, 2],\n [0, -1, -2, -6, -4, 12, 8, 0],\n [2, -2, 11, 6, -2, 0, 8, -2],\n [8, -6, 6, 6, -4, -7, 8, -2],\n [-4, -4, -2, -4, -1, 4, 8, 6],\n [2, 12, 0, -7, 4, -5, 0, -2],\n [-8, 8, 8, 8, 8, 0, -6, -5],\n [2, 0, -2, -2, 6, -2, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152722379", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[5, -9, 12, -6, -1, 10, -1, 10],\n [8, -12, 8, 11, -1, 10, -6, 2],\n [-11, -12, -9, -5, 4, 5, 10, -8],\n [-7, -1, 11, 3, -4, 2, -5, -1],\n [1, 4, 1, 7, -8, 0, 12, -7],\n [1, -7, -10, 3, -1, 1, -11, 5],\n [-6, -8, -1, 4, -1, 8, -2, -12],\n [-4, -5, 1, -9, -2, 4, -5, 8]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30493356760", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, 5, -8, 12, -5, -5, -4, 5],\n [-6, -3, 8, 3, -10, -3, -5, 5],\n [-9, -1, 8, -8, -9, 6, 6, -8],\n [2, -1, 0, -7, 4, 7, -3, 1],\n [2, -3, -7, 3, -11, -3, -8, -4],\n [6, 6, -4, 3, 6, 7, 12, -9],\n [-8, 5, -5, 0, -4, -3, -9, 6],\n [-9, 0, 10, 4, -2, -11, -8, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "585489269", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[0, 9, -10, 6, 10, 6, 3, 3],\n [-10, 10, 12, -4, 6, 11, -12, 1],\n [11, -2, 5, 7, -6, -7, -1, 12],\n [11, -11, 0, 7, -12, 10, 2, 7],\n [-5, 5, 2, -5, -11, -2, -5, 0],\n [-12, 5, -8, -12, -1, -8, 8, 3],\n [10, 5, -11, 2, 9, -2, -3, -10],\n [0, 0, 11, -10, -3, -9, 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": "16862271382", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[4, -9, 2, -1, 1, 4, -7, 0],\n [-9, 9, 2, 6, 0, -6, -2, 9],\n [2, 2, -5, 9, -8, 4, 5, -10],\n [-1, 6, 9, 9, -6, -2, 3, -4],\n [1, 0, -8, -6, 2, -4, 3, 7],\n [4, -6, 4, -2, -4, 9, 2, -4],\n [-7, -2, 5, 3, 3, 2, 4, 6],\n [0, 9, -10, -4, 7, -4, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136670742", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-5, -6, 0, 3, -2, 4, 10, 3],\n [-6, -4, 2, 2, 2, -2, 8, 4],\n [0, 2, -2, 1, -2, -6, -6, 9],\n [3, 2, 1, 2, -5, 1, -2, -4],\n [-2, 2, -2, -5, 7, 8, -4, 1],\n [4, -2, -6, 1, 8, -1, -3, -7],\n [10, 8, -6, -2, -4, -3, 4, -4],\n [3, 4, 9, -4, 1, -7, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183776835", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 7th power of the matrix:\n[[-1, 11, -4, -11, 3, 3, 9, 10],\n [-12, 8, -2, 8, -10, -11, 1, -12],\n [-7, -6, -11, -11, 2, 8, -8, 0],\n [6, 6, 2, -12, -10, 12, 5, 4],\n [12, 8, -5, -2, 7, -5, 8, -7],\n [-7, -7, -11, -3, -3, -4, 10, -10],\n [-11, -9, -5, -4, -11, 3, -7, -5],\n [-10, -2, 12, 7, -8, -1, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357319432", "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, 7, 7, 8, -10, -4, 5, -1],\n [10, -9, 11, -6, 11, 7, -2, -11],\n [10, -1, -4, -7, -6, -7, 5, 0],\n [-4, 8, 6, -9, -9, 0, 12, -2],\n [8, -11, -7, -1, 10, -5, -8, 11],\n [11, 7, 10, -4, -9, -4, -1, -9],\n [4, 7, -11, 9, 0, 2, -5, -7],\n [-4, 9, -2, 10, -1, 8, 11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13381021822", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 2) of the 7th power of the matrix:\n[[-11, -2, -5, -7, 5, 9, -2, 11],\n [-7, -4, 9, 1, 6, 12, 8, -7],\n [7, 6, -3, 1, -8, -1, 6, -11],\n [2, -7, -5, 1, -10, -7, -2, -4],\n [4, 6, -11, -5, 12, -3, 9, -10],\n [-3, 11, 10, -11, -6, -12, 11, -1],\n [-8, -4, -1, -2, -1, -10, -1, 10],\n [11, -12, -7, -2, -11, -5, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-295692517", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (6, 1) of the result:\nA =\n[[-1, 6, 7, 10, -4, -2, 5, -4],\n [2, 9, 5, -5, -9, 0, 2, -5],\n [3, -2, 10, 10, 0, -6, 5, -5],\n [-11, -10, -3, -6, 10, -6, -9, 8],\n [10, -5, 6, 9, -1, 12, -3, 1],\n [-1, 8, 7, 12, -9, 6, -6, 8],\n [-12, -5, -2, -12, 12, -12, -9, -9],\n [-2, 12, -12, -3, 12, -9, 10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18424474", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-6, -11, 9, 0, 9, 6, -9, -7],\n [9, 4, 11, -4, -11, 7, -7, 5],\n [10, 9, 11, 2, 10, 3, -12, -3],\n [-3, 8, -7, 10, -9, 1, 12, 4],\n [-10, -11, 5, 4, 0, 6, -3, 8],\n [9, 11, -9, 4, 3, 12, 6, 11],\n [1, 7, 2, 6, -10, 7, 7, 3],\n [-6, 5, -5, 1, 5, -12, 11, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10645304", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-7, 0, -12, 6, -6, 10, 11, 3],\n [1, -11, -6, 7, 9, 7, 2, 12],\n [1, -12, 4, 3, -8, 8, 11, 10],\n [-10, 11, 7, 6, -11, 12, 1, 10],\n [8, 12, 6, 0, 0, -7, 11, -4],\n [7, -12, 11, -3, -10, -7, 3, 7],\n [-7, -1, -10, 10, 5, 8, -10, -8],\n [6, 12, 11, 5, -5, 11, -3, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488896845", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-3, 6, -8, -6, 0, -2, -9, -4],\n [6, 11, 0, -1, 9, 0, 0, 4],\n [-8, 0, 2, 0, 0, 5, -4, 0],\n [-6, -1, 0, -12, -11, 1, -4, -5],\n [0, 9, 0, -11, -12, -4, 0, -2],\n [-2, 0, 5, 1, -4, 9, 12, -8],\n [-9, 0, -4, -4, 0, 12, -6, 10],\n [-4, 4, 0, -5, -2, -8, 10, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3214297672", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[9, 8, -4, 0, -5, -10, -4, 8],\n [8, 12, 0, -4, -11, -2, 4, 4],\n [-4, 0, 12, 4, -1, 2, 1, 2],\n [0, -4, 4, 6, 1, 2, 3, 10],\n [-5, -11, -1, 1, 4, 4, 0, 8],\n [-10, -2, 2, 2, 4, 0, -4, 10],\n [-4, 4, 1, 3, 0, -4, 2, -6],\n [8, 4, 2, 10, 8, 10, -6, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "390028153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-4, -10, -1, -9, 12, 2, 0, 5],\n [1, 0, -4, -8, 6, -5, 0, -4],\n [4, -8, -4, -2, -11, 0, -12, -5],\n [2, 9, -11, -10, 8, 4, 5, 4],\n [1, -2, 10, 10, 1, -8, -7, 6],\n [-2, -11, -3, 0, 12, -11, 1, 4],\n [-4, -5, -5, -6, 12, 3, 6, 11],\n [4, -12, 0, 3, -7, 2, -1, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1123869501", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-5, -12, -2, 2, -12, 12, 3, 12],\n [-6, -12, -11, -5, 11, -2, 0, -8],\n [5, 6, 8, -10, -12, 9, -8, 6],\n [-4, 11, -6, -1, 1, 3, 0, 5],\n [-3, 8, 8, -7, 9, -10, -9, -12],\n [-2, 4, -8, -1, 7, 10, -6, -9],\n [3, 2, 1, -11, -3, 7, 11, -11],\n [-8, 0, 10, -3, 9, 0, 1, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2639957409", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) of the matrix A^6 where A is:\n[[5, 7, 10, -5, -8, 8, 7, 12],\n [-1, 3, 7, 6, 12, -6, 12, -9],\n [6, -3, -5, 3, -9, -3, 6, 3],\n [-1, 7, -11, -2, 7, 10, 0, -10],\n [4, -3, -5, -7, 1, 6, 11, 9],\n [-12, 12, -2, 12, 12, 1, 0, -1],\n [9, -7, -9, 11, -4, -6, -6, 0],\n [-11, -11, 2, 3, -11, 7, 12, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28612653", "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, 0, 0, 1, 2, 0, 2, -2],\n [0, -9, 0, -2, -1, -6, -1, 6],\n [0, 0, -12, -2, 5, -4, -4, 0],\n [1, -2, -2, -5, 6, -6, 0, 0],\n [2, -1, 5, 6, -7, 0, -10, -2],\n [0, -6, -4, -6, 0, -10, 2, 0],\n [2, -1, -4, 0, -10, 2, -3, 2],\n [-2, 6, 0, 0, -2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "728032366", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[6, 12, -4, -2, 4, 6, 2, 0],\n [12, -10, -8, -4, -3, -4, -8, 0],\n [-4, -8, -12, 0, 3, -3, -6, -10],\n [-2, -4, 0, 9, 0, 2, 4, -4],\n [4, -3, 3, 0, -9, 10, -8, 0],\n [6, -4, -3, 2, 10, -2, -8, 6],\n [2, -8, -6, 4, -8, -8, 6, 8],\n [0, 0, -10, -4, 0, 6, 8, 8]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, -5, 6, -8, -2, -10, 2, -3],\n [-5, 5, 0, 0, 7, 4, -2, -6],\n [6, 0, 4, -4, 4, 5, 9, -2],\n [-8, 0, -4, -2, -5, 2, 6, -2],\n [-2, 7, 4, -5, -1, -2, -2, 4],\n [-10, 4, 5, 2, -2, 4, -12, 2],\n [2, -2, 9, 6, -2, -12, 12, 10],\n [-3, -6, -2, -2, 4, 2, 10, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2450894649", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (3, 2) of the result:\nA =\n[[-5, 6, 4, -6, 0, 5, 0, -4],\n [6, -5, 10, 4, -5, 8, 0, -2],\n [4, 10, 9, -2, 0, 10, 5, 9],\n [-6, 4, -2, 3, -6, 6, 0, -6],\n [0, -5, 0, -6, -11, 4, 6, -1],\n [5, 8, 10, 6, 4, -11, 0, -2],\n [0, 0, 5, 0, 6, 0, -6, 1],\n [-4, -2, 9, -6, -1, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2039688", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 2) of the matrix A^7 where A is:\n[[-11, -9, -3, 11, -6, -1, -5, 10],\n [10, 10, 3, -11, -10, 4, 2, 5],\n [-3, 9, -11, 4, 3, 11, 12, -6],\n [6, 3, -12, -9, 0, -3, -2, 6],\n [2, -2, -10, -11, -2, -3, -10, -8],\n [2, -9, 4, -12, -12, -1, -3, -4],\n [-4, 12, 7, 7, 1, 10, 6, -3],\n [-10, 7, 9, 4, -10, -1, 2, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "737462852", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[2, 7, 11, 3, -4, -5, -2, -4],\n [3, 1, 2, 1, 11, -3, 0, -12],\n [10, -4, 4, 4, -3, 0, 5, 0],\n [8, 11, 0, 11, -3, 7, -6, -6],\n [-4, 3, 2, 12, -10, 0, -2, -5],\n [8, 8, 11, -7, -3, 4, 7, -4],\n [8, 1, 7, 0, -12, 12, 11, 6],\n [-4, 4, 2, 7, -8, -9, -9, 12]], determine the value at position (6, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181773262", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[2, -8, 4, -6, -7, 2, 12, 7],\n [1, -3, -7, -3, 10, 7, -4, 0],\n [1, -12, -12, 6, -4, -8, 4, 3],\n [-1, -8, -7, 7, 10, -2, 6, 8],\n [-7, 10, -3, 2, 5, 8, -6, 10],\n [-10, 11, 3, 0, 4, -9, 6, -9],\n [12, -1, 11, -9, 11, 4, 11, 5],\n [9, -7, 6, -8, -11, -2, 11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8889701", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[0, -8, 6, 0, -2, -2, 6, 4],\n [-8, 10, 5, -2, -1, 5, -2, -6],\n [6, 5, -5, 8, -6, 5, 4, -10],\n [0, -2, 8, 0, 8, 0, 8, 0],\n [-2, -1, -6, 8, -4, 0, -6, 5],\n [-2, 5, 5, 0, 0, -10, 2, -1],\n [6, -2, 4, 8, -6, 2, -12, -4],\n [4, -6, -10, 0, 5, -1, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1523313", "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, -6, -11, -12, 11, -12, -5, 12],\n [4, 10, -8, 1, -5, 7, 5, 10],\n [-6, 11, 1, 12, 1, -7, -10, 8],\n [1, 1, -10, -3, -4, 8, -6, -6],\n [-6, -1, -9, 7, 0, -10, 7, -4],\n [8, 9, 7, 0, -12, 10, 10, -7],\n [7, 11, -5, 4, 12, 11, 5, 12],\n [-9, -1, 9, 3, 5, -3, -9, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24733951976", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[12, 1, 0, 1, 0, 6, -10, 0],\n [1, 11, -6, -9, 4, 4, -2, -2],\n [0, -6, -2, -12, -6, 6, 4, -1],\n [1, -9, -12, 2, 8, 2, -10, -12],\n [0, 4, -6, 8, -8, -3, -10, 1],\n [6, 4, 6, 2, -3, 4, 0, 8],\n [-10, -2, 4, -10, -10, 0, -3, 4],\n [0, -2, -1, -12, 1, 8, 4, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-360717128", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 6) of the matrix A^5 where A is:\n[[-3, -2, -1, 9, -10, -7, -5, 10],\n [0, 11, 6, -5, 8, 10, 0, -9],\n [-10, 9, 12, 7, 12, -10, 9, -1],\n [-8, 12, -7, 5, 7, 1, -8, -2],\n [-4, 4, -1, 12, -12, -12, -9, 9],\n [5, 4, -1, 7, 11, 9, -1, -8],\n [-12, 6, -6, 2, 1, -10, -8, -7],\n [12, -2, 6, 9, -11, 12, -1, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058094", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^7 where A is:\n[[10, 1, -4, 7, 3, 4, 4, -11],\n [-3, -2, -10, -11, -9, -5, 6, 7],\n [5, -12, 11, 10, -11, -5, -3, 6],\n [-6, 4, -10, 12, 2, -9, 4, -2],\n [-7, 4, -3, -12, 5, 1, 6, 5],\n [11, 9, -12, 9, -12, -4, 1, -10],\n [-1, 4, 4, -11, -7, -12, 10, -1],\n [-9, 10, 3, 7, -2, 7, 7, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-199307689", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-5, -11, -5, -12, 10, -6, 9, 1],\n [-9, 8, 4, -11, 10, -11, -5, -6],\n [-5, 7, 4, 10, 4, -6, 12, -8],\n [2, -11, -2, 4, 11, 0, -9, 11],\n [5, 1, 6, -10, -9, 12, -4, 8],\n [10, 1, 12, 4, -11, 1, 9, 3],\n [6, 3, -2, 1, -6, -8, -5, 4],\n [12, 1, -3, 9, -1, -8, -5, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58748814", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^6 where A is:\n[[-9, -4, 1, 2, -2, 6, 10, 2],\n [-4, -7, -4, 2, -2, 0, -5, 2],\n [1, -4, -5, 2, 2, 10, -4, 9],\n [2, 2, 2, -8, 6, 10, -8, -4],\n [-2, -2, 2, 6, 8, 2, 2, 10],\n [6, 0, 10, 10, 2, -3, 0, -10],\n [10, -5, -4, -8, 2, 0, 2, 2],\n [2, 2, 9, -4, 10, -10, 2, -7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44042778", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[5, 2, 0, -5, 5, 8, 3, -7],\n [2, -7, -8, 0, -10, -9, 6, -6],\n [0, -8, 3, -4, 2, 0, 3, -6],\n [-5, 0, -4, -11, 1, 4, 4, 5],\n [5, -10, 2, 1, 6, 0, 0, 0],\n [8, -9, 0, 4, 0, 5, -3, 2],\n [3, 6, 3, 4, 0, -3, 2, -1],\n [-7, -6, -6, 5, 0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252642782", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^5 where A =\n[[-12, -12, 11, 0, 0, 2, 1, -2],\n [-12, -2, 1, -3, -8, 6, -5, 2],\n [11, 1, -8, 0, -4, 4, -6, 8],\n [0, -3, 0, -8, 6, 10, -2, -1],\n [0, -8, -4, 6, 10, -8, 5, -2],\n [2, 6, 4, 10, -8, 10, 1, 5],\n [1, -5, -6, -2, 5, 1, -4, 4],\n [-2, 2, 8, -1, -2, 5, 4, 11]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3062991", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[9, 10, 4, 2, -4, -12, 4, 0],\n [10, 8, 6, 2, 0, -1, 4, 2],\n [4, 6, -5, 8, 3, 2, 1, 4],\n [2, 2, 8, 11, 2, -7, -2, 0],\n [-4, 0, 3, 2, 5, 7, 2, 0],\n [-12, -1, 2, -7, 7, -11, 0, -10],\n [4, 4, 1, -2, 2, 0, -9, 7],\n [0, 2, 4, 0, 0, -10, 7, 10]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1728783572", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[5, 9, -12, -2, 0, 2, -9, -4],\n [9, -6, 6, 1, 4, 12, 2, 9],\n [-12, 6, -1, -4, 4, -8, 0, 2],\n [-2, 1, -4, -2, -1, 9, 10, -4],\n [0, 4, 4, -1, 11, 11, -3, 0],\n [2, 12, -8, 9, 11, 3, -2, -6],\n [-9, 2, 0, 10, -3, -2, -11, -8],\n [-4, 9, 2, -4, 0, -6, -8, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5542246078", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (2, 3) of the result:\nA =\n[[7, 10, 1, 2, 1, -8, 0, 4],\n [10, -3, 7, 2, -2, 0, -4, 2],\n [1, 7, 12, -5, 8, 7, -3, 0],\n [2, 2, -5, 0, 2, 0, -2, 8],\n [1, -2, 8, 2, 1, 7, -7, 2],\n [-8, 0, 7, 0, 7, 7, 7, -6],\n [0, -4, -3, -2, -7, 7, 10, 4],\n [4, 2, 0, 8, 2, -6, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18879997", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (4, 5) of the result:\nA =\n[[-5, 2, 0, 4, -2, 1, -6, 2],\n [2, -7, 2, -4, 0, 6, -5, 3],\n [0, 2, 12, -8, -2, -5, -9, -2],\n [4, -4, -8, 0, 2, 6, -2, -2],\n [-2, 0, -2, 2, 8, 8, -8, 2],\n [1, 6, -5, 6, 8, -2, -4, 6],\n [-6, -5, -9, -2, -8, -4, -12, -4],\n [2, 3, -2, -2, 2, 6, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "541004", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 7) of the 5th power of the matrix:\n[[7, -3, -3, 4, 8, 1, -8, -10],\n [-2, 6, 7, 6, 1, 2, -10, -10],\n [10, -4, -2, 2, 4, 11, -1, 4],\n [-4, 0, -5, 9, -7, 10, 11, -6],\n [-12, -3, 2, 1, -9, -9, -4, 2],\n [-1, -4, -10, 2, 12, 8, -2, -7],\n [2, -6, 6, 1, -9, 8, -12, 11],\n [10, 0, -2, 5, 10, -4, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-893103", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-7, 3, -8, -12, 9, 1, 10, 8],\n [6, -7, -1, -6, -3, -3, 12, 0],\n [-6, 6, -12, 2, 1, 0, -6, -1],\n [-5, 2, 4, 8, -1, 0, -5, -3],\n [-6, -11, 3, -9, -7, -6, 10, 6],\n [11, 10, -9, -3, -9, 7, -8, 1],\n [-2, -11, -4, 9, -1, 11, -12, 9],\n [2, -7, 11, 4, 8, 2, 1, 6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16414770584", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, -4, -10, 12, 12, 2, 4, -11],\n [-9, 1, -2, -1, 10, 3, -1, -11],\n [-6, 8, 10, 12, 12, -10, -10, 0],\n [-6, -8, 8, -8, 12, 7, 9, -7],\n [0, -6, -11, 9, -4, 6, -11, 0],\n [-5, 3, -12, -2, -5, 8, 12, 12],\n [7, -12, 8, -6, 12, 12, -4, 9],\n [-11, 8, 6, -7, -8, 0, -3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1485508847", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -1, -4, -6, 2, 4, 8, -2],\n [-1, 4, 8, 4, 2, -8, -2, -4],\n [-4, 8, -4, 0, 8, -10, -2, 4],\n [-6, 4, 0, 1, 2, -5, -10, 5],\n [2, 2, 8, 2, -6, -2, 0, 0],\n [4, -8, -10, -5, -2, 12, 1, 9],\n [8, -2, -2, -10, 0, 1, 5, 10],\n [-2, -4, 4, 5, 0, 9, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213035990", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 6th power of the matrix:\n[[-5, 1, 6, 5, -10, -9, 4, 2],\n [1, 10, 6, -7, -1, 7, -2, 0],\n [6, 6, 12, -8, -3, -2, 2, -1],\n [5, -7, -8, 3, -8, -6, 3, 0],\n [-10, -1, -3, -8, -9, -5, 4, -6],\n [-9, 7, -2, -6, -5, 5, 2, -6],\n [4, -2, 2, 3, 4, 2, 2, 2],\n [2, 0, -1, 0, -6, -6, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47335421", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-3, 7, -2, 12, -4, 9, 4, -4],\n [12, 10, -4, 11, 12, -4, 10, 9],\n [-11, 0, 10, -12, -7, -7, 3, -1],\n [2, -6, -11, -1, 7, -11, -9, -10],\n [-11, 5, -10, -3, -1, -9, 10, 7],\n [-6, 7, 6, -5, -10, 2, -5, 5],\n [1, 6, -9, -10, 9, -4, -3, -5],\n [7, -11, -12, -9, 3, -8, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144768093", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (8, 6) of the result:\nA =\n[[0, 3, 2, 6, -9, 6, 11, 0],\n [-2, 5, 12, -2, 9, -12, 2, 11],\n [-3, 9, -9, -7, -11, 4, -1, 9],\n [11, -8, 11, 6, -7, 4, 6, 7],\n [8, -10, -5, -8, 10, -8, 11, 4],\n [6, 6, -3, -10, 9, 12, 0, 3],\n [-1, 9, 8, 4, -11, 3, -2, -12],\n [-1, -7, 6, -8, 9, 8, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "781520127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[5, -1, 5, -3, -9, 7, 6, 11],\n [-9, 11, -2, -10, 2, 3, -1, 5],\n [11, -7, 2, -11, 10, -1, -3, 10],\n [-9, -5, 2, 6, 3, 0, 12, 2],\n [1, 2, -1, -2, 8, -10, 12, 1],\n [-11, 5, -10, -4, -2, -10, -8, -4],\n [-3, -7, -7, -2, 4, -11, -4, 11],\n [5, -8, 8, -7, -9, -4, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95296442", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-4, -2, -4, -2, -4, 4, 0, -7],\n [-2, -1, -6, -4, -8, -8, -4, -6],\n [-4, -6, -9, 8, -2, -8, -6, 8],\n [-2, -4, 8, 0, 2, 2, -2, -7],\n [-4, -8, -2, 2, 5, 3, 2, 4],\n [4, -8, -8, 2, 3, 5, 2, -1],\n [0, -4, -6, -2, 2, 2, 8, -8],\n [-7, -6, 8, -7, 4, -1, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282861613", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-5, -2, 4, 1, -11, -6, 10, 5],\n [-12, 2, -12, 4, 9, -6, 3, -11],\n [2, 9, 7, 12, -2, 11, 11, -11],\n [-2, 8, 3, -11, 6, 3, -5, 8],\n [7, -8, -5, 1, 1, 10, 9, 5],\n [-8, -3, 2, 0, -4, 12, -4, 6],\n [12, -4, -8, -7, 10, -3, -3, -7],\n [8, -12, 7, 0, -5, 11, 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": "32574275763", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[6, -2, 6, -1, 1, 4, 2, 5],\n [-2, -7, -4, 4, -6, 10, -5, 2],\n [6, -4, 12, -6, -5, 6, -4, -2],\n [-1, 4, -6, -9, 7, 6, 2, -7],\n [1, -6, -5, 7, -4, 3, 0, 2],\n [4, 10, 6, 6, 3, 3, 9, -1],\n [2, -5, -4, 2, 0, 9, 8, 0],\n [5, 2, -2, -7, 2, -1, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291856874", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the 5th power of the matrix:\n[[0, 4, -9, 2, -3, 0, 0, 0],\n [4, 4, 5, 4, 2, 0, -2, -10],\n [-9, 5, 4, -7, 0, -2, -8, -2],\n [2, 4, -7, -3, 0, 3, -4, -10],\n [-3, 2, 0, 0, -8, -7, 0, 10],\n [0, 0, -2, 3, -7, 12, -7, 2],\n [0, -2, -8, -4, 0, -7, 6, 4],\n [0, -10, -2, -10, 10, 2, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-636195", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, 0, -2, 4, 6, -6, -11, 8],\n [0, 2, 8, -8, 4, 2, -4, -1],\n [-2, 8, -2, -7, -3, -3, -8, 4],\n [4, -8, -7, -9, 1, 6, -2, -7],\n [6, 4, -3, 1, 10, 6, 4, 4],\n [-6, 2, -3, 6, 6, -8, 0, 4],\n [-11, -4, -8, -2, 4, 0, -6, 8],\n [8, -1, 4, -7, 4, 4, 8, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60642906786", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-4, 12, -9, 2, 8, -3, -6, -7],\n [2, 12, -11, 11, 2, 5, 1, 5],\n [-10, 7, 9, 1, -7, 1, -11, 9],\n [3, 11, 3, 8, 4, 3, 3, -5],\n [-7, 5, 10, 1, 3, -5, 5, 1],\n [4, 9, 9, -5, 3, 10, 11, -3],\n [-3, 8, 5, 8, 5, -4, 8, -12],\n [12, 3, -3, 2, -8, 4, -4, 12]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61251469644", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[12, -7, -11, 0, 10, 5, 7, -9],\n [-3, 10, 9, -2, 0, 10, 9, 4],\n [-2, -9, 1, -10, 10, 10, -1, -9],\n [3, -6, 7, 12, 6, 5, 8, -4],\n [-2, 6, 4, 12, 8, 5, -7, -10],\n [1, -4, -10, -11, 6, -7, -10, 12],\n [12, -4, 5, -6, -11, -12, -8, 11],\n [-10, -6, -7, -12, 10, 6, 7, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151722906309", "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, -4, -6, -1, 6, -8, 5, 6],\n [-4, -3, -8, 4, 8, 3, -4, 2],\n [-6, -8, -7, -4, -4, 2, 10, 0],\n [-1, 4, -4, 9, -1, -2, 7, -1],\n [6, 8, -4, -1, -12, -8, 6, -8],\n [-8, 3, 2, -2, -8, 1, -5, 0],\n [5, -4, 10, 7, 6, -5, 0, 0],\n [6, 2, 0, -1, -8, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2001303438", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, -2, -1, -1, 0, 9, 10, -5],\n [-9, 8, 7, -12, -7, 10, -11, 9],\n [1, 5, -3, 8, -12, -10, 7, -9],\n [5, -5, 9, -4, 9, 6, -11, -4],\n [-10, 9, -11, -6, 4, 12, 4, -4],\n [-12, -12, -5, 4, -5, 6, -9, 5],\n [0, 9, -6, -10, 1, -4, -10, -6],\n [2, -9, -8, -4, -10, 3, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4472752", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the 7th power of the matrix:\n[[12, -4, 7, -12, 4, -1, -4, 9],\n [-8, 2, 0, 6, -10, -11, 0, -6],\n [-4, 9, -3, -12, 9, 3, -2, 11],\n [-5, 0, 3, -10, 0, 4, 8, -7],\n [-3, -4, 5, 4, -6, -11, -2, 5],\n [-10, 1, 7, 0, 10, 4, 9, -2],\n [-6, -10, -10, -11, 8, 3, 10, -2],\n [1, -10, -6, -5, 0, 6, -2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9673980", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[6, 0, 9, 4, -4, 6, 6, 10],\n [10, -7, -6, -8, -5, 1, 5, 8],\n [12, 7, 11, -10, 9, -5, 1, 12],\n [1, -6, -7, -7, -1, 9, 2, 12],\n [6, -9, -10, 0, 12, 3, 0, 8],\n [-3, 0, -5, -1, -5, -4, -3, -6],\n [-10, -8, -10, 5, 6, -3, -4, 12],\n [11, -6, -12, 12, -3, -11, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62817316", "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[[-7, 11, -5, 5, -6, 5, -12, 11],\n [12, 1, 10, 7, -6, 7, -6, -9],\n [12, -8, 10, 11, 8, -12, 7, -10],\n [0, -6, -7, -7, -11, 3, -7, -5],\n [8, 12, -2, 5, 10, -7, 1, 2],\n [-2, 2, 0, -7, -9, 1, 0, -3],\n [12, 9, -1, 11, -5, 7, -8, -11],\n [7, -1, -7, 2, 5, 5, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "866314887", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-3, -6, 4, -2, -8, 2, 0, 0],\n [-6, -8, -2, -8, -2, 2, -2, -3],\n [4, -2, -9, 1, 6, 4, -8, -8],\n [-2, -8, 1, 9, -2, 4, -8, -1],\n [-8, -2, 6, -2, 11, 3, 7, -4],\n [2, 2, 4, 4, 3, -6, 0, -4],\n [0, -2, -8, -8, 7, 0, -1, -5],\n [0, -3, -8, -1, -4, -4, -5, -6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23705848954", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-4, -12, -8, 2, -9, -3, -11, 10],\n [-6, 11, 6, -7, 2, 7, -1, -2],\n [-10, 7, 4, -6, 10, 10, 5, 4],\n [3, 12, -11, -8, 8, 0, -2, 11],\n [-12, 10, -10, 5, 8, -9, -4, -2],\n [4, -2, -10, 6, 7, 10, 8, -2],\n [1, -7, 6, 8, 2, -2, 5, -9],\n [6, -10, -1, -9, 11, -1, 11, -12]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3913309301", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 5th power of the matrix:\n[[3, 8, -11, 9, -10, 3, -3, -4],\n [1, 12, -5, -11, -2, -11, 2, 5],\n [-8, 12, -6, 10, 6, 6, 3, 6],\n [4, 0, -5, -2, 5, -2, 10, -4],\n [1, -11, 4, 8, 3, -8, -12, -4],\n [-10, 1, 5, -1, 10, 1, 3, -8],\n [7, 7, 2, -4, 12, 4, -1, 0],\n [-3, -6, 11, 8, -6, -5, 11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5464386", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the value at position (1, 3) of the result:\nA =\n[[12, 8, 5, 9, -12, -3, 9, 6],\n [-10, -6, -9, -8, -7, -3, -1, 1],\n [9, -11, -10, -12, -10, 11, 2, 3],\n [7, -11, 7, 3, 2, -6, 12, -8],\n [-8, 8, -4, 10, 1, 6, 5, -4],\n [-10, -2, 11, 2, -9, 8, 11, -8],\n [5, 9, 10, -1, -12, 12, 9, 7],\n [-11, -4, 9, 12, 5, -8, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3225471", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^6 where A =\n[[-2, 8, 9, -10, -4, -11, 1, -11],\n [8, -3, 6, -11, 3, -7, -1, 9],\n [-6, -9, -5, 6, -3, -12, -8, -7],\n [6, 5, 6, 6, 10, -12, 7, -2],\n [-10, -3, -6, 4, 11, 3, -6, 0],\n [-1, -1, -5, -5, 0, -2, 12, -12],\n [12, 4, 6, 0, 10, 2, 11, -1],\n [8, 4, -10, -6, -11, -11, 12, -7]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1225858736", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the 7th power of the matrix:\n[[-9, 3, 2, -3, 1, -4, 2, -6],\n [-6, -5, 6, 5, 4, 5, 6, 8],\n [-5, 0, -2, 6, -6, -8, -8, -5],\n [-3, -8, 2, 10, 3, -3, 11, -5],\n [6, -9, 1, -5, 8, 1, -1, -12],\n [10, 6, 5, -1, -3, 8, -12, 1],\n [-4, 2, 8, 9, 10, 1, -4, -2],\n [-8, -1, 3, 7, -10, -8, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50579424", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[11, 7, -2, 2, -2, -7, -7, 6],\n [7, -12, -2, 0, 4, 0, -4, -2],\n [-2, -2, 8, 2, 4, -6, 2, 6],\n [2, 0, 2, -8, 2, 2, 10, 3],\n [-2, 4, 4, 2, 12, 6, 2, 4],\n [-7, 0, -6, 2, 6, 2, 6, 4],\n [-7, -4, 2, 10, 2, 6, -6, -6],\n [6, -2, 6, 3, 4, 4, -6, 10]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23931987221", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[6, -7, -1, 2, 2, -10, -9, -8],\n [-7, -7, 4, -5, 6, 7, 11, 8],\n [9, 0, 2, 4, 11, 8, 4, 10],\n [-11, 9, -10, 9, -4, -7, -12, 9],\n [6, -9, 0, 7, 12, -5, 10, -8],\n [-3, 7, 6, -1, -12, -4, 11, 3],\n [4, 5, 1, 4, -12, 12, 8, 2],\n [6, -11, 11, 11, 1, 9, -11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64287915", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^7 where A is:\n[[-12, 9, -12, -1, 9, 2, 5, 2],\n [-6, -1, -3, -11, -11, -7, 7, -7],\n [11, -3, -10, 3, -8, -8, -3, 12],\n [10, 0, 12, 11, -10, 5, 6, -7],\n [7, -12, -3, -3, 12, 9, -12, 6],\n [-2, 0, 4, 12, 7, 5, -9, 2],\n [-11, -7, 9, 10, -4, -2, 12, 7],\n [3, 12, -5, 4, 10, 10, -9, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3837777519", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-2, 4, -6, 6, 7, -5, -8, 2],\n [4, -8, 3, -2, 2, 11, -8, 6],\n [-6, 3, 2, 8, -4, 0, 4, -8],\n [6, -2, 8, -12, -1, 3, 0, 6],\n [7, 2, -4, -1, 6, -4, 4, 6],\n [-5, 11, 0, 3, -4, 5, -6, 7],\n [-8, -8, 4, 0, 4, -6, 10, -8],\n [2, 6, -8, 6, 6, 7, -8, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1712744499", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-4, 0, -4, -3, 6, -6, -4, 8],\n [0, -6, 4, 2, 5, -6, 2, 8],\n [-4, 4, 8, 1, -7, 4, 1, 0],\n [-3, 2, 1, 1, -6, 4, 2, -4],\n [6, 5, -7, -6, 6, 2, 0, 12],\n [-6, -6, 4, 4, 2, -2, 1, -2],\n [-4, 2, 1, 2, 0, 1, -6, 8],\n [8, 8, 0, -4, 12, -2, 8, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42239529", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (7, 3) of the result:\nA =\n[[5, -5, 5, -8, -7, -11, 12, 9],\n [11, -9, 6, -9, 3, -12, 3, -12],\n [11, 4, -8, 3, 12, -10, -3, 5],\n [8, 5, 4, -2, -4, -2, -4, 4],\n [7, -8, -1, 5, 12, 12, 3, -4],\n [-5, -7, 4, 1, 8, 11, 1, -9],\n [-5, 9, 4, -12, -10, 4, 7, -10],\n [-6, -2, 12, 2, -6, -8, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50279062", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the value at position (1, 2) of the result:\nA =\n[[-12, 9, 11, -6, 4, -5, -1, 12],\n [-11, 4, 9, 7, 1, 10, -10, 6],\n [1, -5, -6, -8, -10, -12, 6, 2],\n [12, -12, -8, 7, -2, 1, 9, 5],\n [7, -4, 2, -2, -8, 2, 11, -11],\n [-1, 12, 10, -6, -11, -5, -4, -8],\n [2, 6, 6, 0, 0, -7, -12, -3],\n [12, -7, 12, -10, 0, 6, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44628111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-6, -5, 2, 0, 0, -4, -11, -4],\n [-5, 3, 8, -7, 8, -6, 7, -2],\n [2, 8, 12, 6, -6, -2, 0, 0],\n [0, -7, 6, -7, 0, 4, 0, 4],\n [0, 8, -6, 0, -7, -4, 7, 3],\n [-4, -6, -2, 4, -4, -8, 6, 10],\n [-11, 7, 0, 0, 7, 6, -7, 1],\n [-4, -2, 0, 4, 3, 10, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404648235", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[2, 0, 2, 8, 0, 1, -1, -5],\n [0, -7, -3, 0, 4, 0, 6, 9],\n [2, -3, -9, 4, -5, 5, -2, 4],\n [8, 0, 4, 6, 2, 6, 5, -1],\n [0, 4, -5, 2, -4, -2, -2, 10],\n [1, 0, 5, 6, -2, 6, -4, -3],\n [-1, 6, -2, 5, -2, -4, 10, -2],\n [-5, 9, 4, -1, 10, -3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10221331070", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, 12, 1, 4, -11, -4, 0, -8],\n [-9, 10, 8, -12, -4, 11, 3, 6],\n [-10, -10, -6, 5, 12, 7, -6, 11],\n [3, 8, 11, -9, 0, -3, -11, 6],\n [1, -7, 0, 9, -1, -1, 10, -1],\n [-2, 1, -9, 0, -5, 11, 10, -10],\n [1, 6, 5, -2, 0, 10, -7, 10],\n [5, 7, -12, -11, -6, -8, 6, -11]], determine the value at position (7, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277589515", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 7) of the 6th power of the matrix:\n[[-10, -2, 4, 1, 8, 2, 0, -10],\n [-2, 3, -2, 10, -6, -6, -8, 4],\n [4, -2, -5, -7, -2, 0, -2, -6],\n [1, 10, -7, -4, -6, 0, 2, 4],\n [8, -6, -2, -6, -10, 2, -4, 5],\n [2, -6, 0, 0, 2, 4, -10, -4],\n [0, -8, -2, 2, -4, -10, -11, 2],\n [-10, 4, -6, 4, 5, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60483428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[6, -2, 0, 2, -5, 8, -1, 2],\n [-2, -5, -2, -1, -4, -12, -4, 0],\n [0, -2, 0, 3, -1, 0, 3, 8],\n [2, -1, 3, 1, 1, 5, 1, -2],\n [-5, -4, -1, 1, 0, -8, 0, -2],\n [8, -12, 0, 5, -8, -9, -2, -2],\n [-1, -4, 3, 1, 0, -2, 10, -6],\n [2, 0, 8, -2, -2, -2, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "526181455", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 5) of the 7th power of the matrix:\n[[-2, -2, 0, 0, -2, 0, 4, 6],\n [-2, -3, 4, -2, -3, 6, 5, -2],\n [0, 4, -9, 9, 8, 4, 2, -8],\n [0, -2, 9, -8, -6, -2, 1, 0],\n [-2, -3, 8, -6, 10, -10, -6, 0],\n [0, 6, 4, -2, -10, -11, 6, -10],\n [4, 5, 2, 1, -6, 6, 1, 4],\n [6, -2, -8, 0, 0, -10, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-493650270", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^7 and find the value at position (1, 2) of the result:\nA =\n[[4, -7, 7, 12, -7, 2, 4, 9],\n [-10, 6, 10, -11, -4, -4, -6, 12],\n [3, -7, -4, 0, -11, 1, -8, -2],\n [2, -7, -7, 3, 7, -9, -8, -7],\n [0, 1, 11, 0, -3, 4, 11, 5],\n [-6, -9, 11, 9, 8, 3, -3, 8],\n [7, 6, -10, 6, 10, 11, 0, -5],\n [5, 6, 5, 9, 6, 9, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-713746641", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-1, 4, 2, -3, 9, -3, 6, -4],\n [4, 12, -5, 2, -6, 0, 6, -2],\n [2, -5, -3, 6, -4, 2, -2, 6],\n [-3, 2, 6, -9, -6, -8, 4, 0],\n [9, -6, -4, -6, -9, -7, 8, -3],\n [-3, 0, 2, -8, -7, -5, 7, -1],\n [6, 6, -2, 4, 8, 7, -2, 7],\n [-4, -2, 6, 0, -3, -1, 7, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28069585827", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 6th power of the matrix:\n[[3, -8, -2, 4, 4, -8, -1, -2],\n [-8, -10, 1, 4, 0, 0, -9, 1],\n [-2, 1, -6, -1, 1, -6, 4, 4],\n [4, 4, -1, 10, 6, 2, 6, 2],\n [4, 0, 1, 6, -9, 8, 4, 6],\n [-8, 0, -6, 2, 8, -9, 8, 0],\n [-1, -9, 4, 6, 4, 8, 10, -10],\n [-2, 1, 4, 2, 6, 0, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "428481015", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-6, 3, 8, -6, -4, 1, 4, 0],\n [3, -4, 2, -1, 1, 6, 2, -4],\n [8, 2, 11, 2, 12, -7, -8, -1],\n [-6, -1, 2, -2, -4, -2, -6, -4],\n [-4, 1, 12, -4, 12, -4, -6, -2],\n [1, 6, -7, -2, -4, -3, -6, 1],\n [4, 2, -8, -6, -6, -6, -1, -6],\n [0, -4, -1, -4, -2, 1, -6, 12]], determine the value at position (5, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5756780425", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^7 where A =\n[[-2, -2, 3, -5, -10, 2, 10, 8],\n [-2, 5, 4, 0, -2, -5, -2, 6],\n [3, 4, 10, 1, 3, 7, -10, -5],\n [-5, 0, 1, -10, -4, -2, -5, 0],\n [-10, -2, 3, -4, -12, 6, -3, -4],\n [2, -5, 7, -2, 6, 12, 1, 0],\n [10, -2, -10, -5, -3, 1, -8, 2],\n [8, 6, -5, 0, -4, 0, 2, 11]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43173411524", "dataset": "MATH"}