{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, 2, 4],\n [0, 4, -3, -4, 3],\n [-2, -3, 5, 1, 4],\n [2, -4, 1, -4, 2],\n [4, 3, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8431", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -3, 2, -3],\n [0, 1, -2, 1, 0],\n [-3, -2, 5, -2, -2],\n [2, 1, -2, 4, -2],\n [-3, 0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2015", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 4, 1, 1],\n [0, -4, -1, 2, 2],\n [4, -1, -3, 4, 4],\n [1, 2, 4, 1, -2],\n [1, 2, 4, -2, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1432", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -1, 0, 2, 0],\n [-1, -5, 2, 0, 4],\n [0, 2, 4, 0, 0],\n [2, 0, 0, 3, -4],\n [0, 4, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) of the matrix A^4 where A is:\n[[-4, 4, 4, 4, 5],\n [0, 1, 2, -5, 2],\n [0, 0, 0, 2, 1],\n [0, 0, 0, 3, -3],\n [0, 0, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 0, 2, 2],\n [4, -5, 0, 0, 0],\n [0, 0, 4, -4, 1],\n [2, 0, -4, -4, 4],\n [2, 0, 1, 4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 5, 3, -3, -5],\n [0, 1, 4, 0, 0],\n [0, 0, -2, 4, 4],\n [0, 0, 0, 4, -5],\n [0, 0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 4, -5, 1],\n [3, -2, -2, -2, -1],\n [0, 1, 3, 1, 5],\n [-4, 2, 3, 4, -3],\n [-3, -2, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-365", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, 4, 2, -5, 3],\n [0, 0, 0, 1, -5],\n [-2, -2, 0, 4, -3],\n [5, 5, 5, 2, 5],\n [-1, -3, 4, 3, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-500", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) of the matrix A^2 where A is:\n[[0, -2, 1, -4, -5],\n [3, -2, 2, -4, -4],\n [2, 4, -5, -2, 5],\n [-1, 0, -2, -5, -4],\n [1, 5, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, -4, 4, 5],\n [0, -1, 1, 4, 5],\n [5, 1, 4, 5, 4],\n [-3, -2, -1, 4, -1],\n [5, -3, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23847", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -5, -2, 5, -5],\n [0, -4, 4, -1, -3],\n [0, 0, 3, 1, 2],\n [0, 0, 0, 3, -4],\n [0, 0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "638", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, 1, -2, -2],\n [-4, -2, 4, 4, 0],\n [1, 4, -1, 2, 1],\n [-2, 4, 2, -2, -3],\n [-2, 0, 1, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16325", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, -3, -5, 0],\n [3, 2, 0, -2, 5],\n [3, -1, -4, 5, -1],\n [2, 2, -2, -3, 4],\n [-2, -5, -5, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21728", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, 4, 3, 1],\n [-4, -2, -1, -3, -2],\n [4, -1, 0, -2, 0],\n [3, -3, -2, -2, 3],\n [1, -2, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 4, 4, 1],\n [0, -3, -5, 3, -3],\n [0, 0, 4, 1, 0],\n [0, 0, 0, 1, -2],\n [0, 0, 0, 0, 2]], determine the value at position (5, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -5, -2, -3, 4],\n [0, -5, -3, -1, 1],\n [3, -2, -1, -5, -2],\n [3, 4, -2, 5, -3],\n [-1, -2, 4, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, -2, 3, 3],\n [0, 4, -4, 0, 4],\n [-2, -4, 2, -1, 2],\n [3, 0, -1, 3, -2],\n [3, 4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, -3, -4, 3],\n [-3, 4, 5, 4, -4],\n [-4, 5, 2, -1, 5],\n [3, 3, -3, 5, -4],\n [-1, -5, 2, 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": "45336", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, 0, 2, 1],\n [0, 4, 0, 3, 2],\n [0, 0, -1, 2, -4],\n [0, 0, 0, 0, 5],\n [0, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, 0, 1, 2, -4],\n [1, 3, -3, 1, 3],\n [5, -1, 2, 5, -2],\n [4, -4, 1, 5, -5],\n [-4, 1, -5, 5, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1691", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 4, -4, -3],\n [0, 3, 5, 4, 2],\n [0, 0, 3, 3, -4],\n [0, 0, 0, -4, -4],\n [0, 0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2662", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 5, 3, 2],\n [0, 2, -1, -4, 0],\n [0, 0, 4, 2, -2],\n [0, 0, 0, -3, -1],\n [0, 0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "589", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 4, -1, 3, 1],\n [-1, 0, 3, -4, -2],\n [2, -5, -3, -4, 4],\n [0, 3, -2, 0, 1],\n [0, -1, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1272", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the 3th power of the matrix:\n[[-2, 5, -5, -5, 0],\n [-1, 4, -4, 1, 1],\n [2, 4, 4, -2, 2],\n [0, -5, -3, 2, 5],\n [1, 2, -1, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, 0, 0, 1, 3],\n [0, -3, 1, 0, -3],\n [0, 1, 5, 0, 0],\n [1, 0, 0, 5, 0],\n [3, -3, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, -1, 4, -1],\n [1, -2, -3, 3, 5],\n [4, 4, -5, 2, -3],\n [0, -1, 1, -5, -2],\n [5, 5, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2156", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 4, 4, -3],\n [-3, -3, -3, -3, 0],\n [2, 4, -3, 3, -5],\n [-1, 5, -2, -1, -2],\n [2, 4, 1, 2, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, 0, 0, -3, -1],\n [0, 0, -2, -1, -2],\n [0, -2, 5, 0, 0],\n [-3, -1, 0, 0, 0],\n [-1, -2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, 2, 2, 0],\n [-1, 5, 2, -2, 1],\n [2, 2, 3, -1, 0],\n [2, -2, -1, 4, -1],\n [0, 1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, -5, 4, 0, -1],\n [0, 3, 5, 5, 0],\n [0, 0, -1, -5, 5],\n [0, 0, 0, 2, 3],\n [0, 0, 0, 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": "270", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 4, -4, 4, 3],\n [0, 2, -1, 0, -4],\n [0, 0, 0, -5, 0],\n [0, 0, 0, 4, -5],\n [0, 0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3233", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 1, -2, -5],\n [-4, 5, -1, 0, -3],\n [1, -1, -3, 2, 2],\n [-2, 0, 2, -4, -2],\n [-5, -3, 2, -2, -2]], determine the value at position (5, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4530", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-5, 2, -1, 0, 2],\n [2, -5, 0, 0, 2],\n [-1, 0, 4, 4, -3],\n [0, 0, 4, 5, -2],\n [2, 2, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) of the matrix A^4 where A is:\n[[2, 5, -3, 2, 5],\n [-5, -4, -2, -4, 5],\n [2, -1, 2, 2, 0],\n [-4, 0, 3, 4, 5],\n [5, 2, 4, -5, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-624", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 4, -2, 4],\n [0, -4, -1, -5, -5],\n [0, 0, -3, -5, -3],\n [0, 0, 0, -5, -1],\n [0, 0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-614", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 2, 3, 0],\n [-4, 3, 0, -4, -2],\n [-1, 3, -4, -2, 0],\n [4, -2, 0, 3, -5],\n [-1, 1, -4, 3, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the 4th power of the matrix:\n[[2, 5, -2, 1, 4],\n [-1, 3, -1, -4, -5],\n [4, 2, -3, -1, 0],\n [2, 5, -1, -4, -2],\n [-4, -3, -1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, 1, 0, 1, 1],\n [1, 1, 2, -4, -2],\n [0, 2, 3, 2, 2],\n [1, -4, 2, -3, 2],\n [1, -2, 2, 2, 1]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 4) of the result:\nA =\n[[-5, -5, 3, 3, 2],\n [3, 0, -1, -2, -4],\n [-4, -1, -2, 3, -2],\n [5, 1, 1, 3, 0],\n [5, 2, 0, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-2, 2, 2, 4, 4],\n [0, -3, 2, 4, 4],\n [0, 0, 4, 5, 1],\n [0, 0, 0, -3, -2],\n [0, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[5, -2, 5, -4, 2],\n [-2, 5, -1, -4, -4],\n [5, -1, -2, 0, 0],\n [-4, -4, 0, 2, -2],\n [2, -4, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61432", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, -1, 0, 0],\n [0, -1, 1, -4, 3],\n [-1, 1, 3, 0, 0],\n [0, -4, 0, -4, 4],\n [0, 3, 0, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 5, -3, 4],\n [-2, -3, 1, 0, 0],\n [3, 2, 4, -2, 1],\n [4, 4, -4, 4, 2],\n [5, -1, -5, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "432", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-5, 5, 4, -2, -1],\n [1, 2, -5, 4, -5],\n [-3, -5, 4, 4, 2],\n [-4, -1, -5, 1, 3],\n [-3, -2, -2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-793", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 5, 0, -2, 4],\n [5, 0, -2, -4, -2],\n [0, -2, -2, 1, -1],\n [-2, -4, 1, -5, 0],\n [4, -2, -1, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3132", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 4, 4, -2, 1],\n [4, 3, 0, 4, 2],\n [4, 0, 2, -4, -2],\n [-2, 4, -4, -4, -2],\n [1, 2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[3, -2, 0, -2, 2],\n [-2, -2, -1, 4, 0],\n [0, -1, 5, -2, -2],\n [-2, 4, -2, -1, 3],\n [2, 0, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, 5, 4, 4, 1],\n [-3, 3, 3, 1, -5],\n [5, 2, 4, -5, -4],\n [1, -4, 4, -5, 3],\n [-5, 0, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[5, -3, 1, 4, -5],\n [0, -1, 5, -5, -5],\n [0, 0, -4, 4, -1],\n [0, 0, 0, -1, 1],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, 3, 0, -4],\n [2, -1, -1, -3, 3],\n [2, 3, -1, 3, 2],\n [-1, 2, -5, 2, 5],\n [-1, -4, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-337", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, -3, 2],\n [2, 4, 2, 2, -4],\n [0, 2, 1, 0, -4],\n [-3, 2, 0, -1, 0],\n [2, -4, -4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23434", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, -2, 0, 2, -5],\n [-2, 2, -1, -1, -2],\n [0, -1, 4, -2, 2],\n [2, -1, -2, -5, -2],\n [-5, -2, 2, -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": "3322", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 0, -4, 2],\n [0, -5, 1, 4, 3],\n [0, 1, 2, 0, 0],\n [-4, 4, 0, -3, 2],\n [2, 3, 0, 2, -5]], determine the value at position (5, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, -4, 4, 3],\n [-2, -5, -2, 3, 2],\n [3, -2, -2, -4, -4],\n [3, -5, -4, 4, -1],\n [-3, -3, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2494", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-5, 0, -2, 0, -4],\n [0, 3, -4, -3, 2],\n [-2, -4, -5, 0, -2],\n [0, -3, 0, -5, 2],\n [-4, 2, -2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "366", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, 4, 2, -1, 5],\n [0, -1, -4, 2, 1],\n [3, -4, -1, 3, -4],\n [4, 4, -5, 2, -2],\n [2, 5, -4, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, 2, 0, 3],\n [0, 3, 0, -4, 2],\n [0, 0, 2, 2, -5],\n [0, 0, 0, -3, 5],\n [0, 0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 5, 4, 3, 2],\n [5, -5, -2, 3, 3],\n [4, -2, -4, 0, 0],\n [3, 3, 0, -2, -2],\n [2, 3, 0, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -5, 0, 4],\n [0, 5, 5, 5, 2],\n [0, 0, -4, -4, -3],\n [0, 0, 0, -5, -4],\n [0, 0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9498", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -2, -4, 2],\n [2, 5, 1, -2, -3],\n [-2, 1, -5, -2, -2],\n [-4, -2, -2, -1, 3],\n [2, -3, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4050", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (5, 2) of the result:\nA =\n[[3, -1, 0, 1, 2],\n [-1, -1, -1, -2, -4],\n [0, -1, -5, 0, -2],\n [1, -2, 0, -5, 0],\n [2, -4, -2, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-264", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) of the matrix A^3 where A is:\n[[1, -2, 3, -2, -4],\n [-2, -2, -4, -1, -4],\n [3, -4, 2, 3, 2],\n [-2, -1, 3, -4, 2],\n [-4, -4, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-290", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -1, -1, -3],\n [-2, 0, -2, -2, -2],\n [-1, -2, -3, 2, -2],\n [-1, -2, 2, -2, -2],\n [-3, -2, -2, -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": "8673", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 3, -5, 4],\n [0, 2, -4, 3, 3],\n [0, 0, 4, 5, -5],\n [0, 0, 0, 0, -2],\n [0, 0, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6714", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, -2, -4, -1, -1],\n [-2, 2, 0, 2, 0],\n [-4, 0, -5, -4, 2],\n [-1, 2, -4, 1, -4],\n [-1, 0, 2, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-4, 1, 0, -5, 2],\n [0, 4, -5, 0, -3],\n [0, 0, 5, -1, -1],\n [0, 0, 0, 0, -2],\n [0, 0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-5, 2, 5, 1, -4],\n [0, 3, 3, 3, 0],\n [0, 0, -2, -5, 4],\n [0, 0, 0, -5, 2],\n [0, 0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 3, 4, -5, 2],\n [-3, 4, -1, -5, -1],\n [3, 5, -1, -1, 4],\n [2, -3, -1, 2, -2],\n [-1, 1, 4, 5, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3881", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-5, 4, 5, 2, 0],\n [4, -4, 4, 2, 0],\n [5, 4, 3, 2, 2],\n [2, 2, 2, -4, 4],\n [0, 0, 2, 4, -1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 5, -3, -5, -3],\n [0, 5, 5, -4, 5],\n [0, 2, 2, -5, 2],\n [-3, 5, 0, 2, 4],\n [1, -5, 5, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25601", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 3, -5, 4, 5],\n [4, -2, -1, 4, 5],\n [-2, -5, -2, -3, 2],\n [4, 4, -3, 1, 5],\n [-3, 5, -1, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51097", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 5, 4, -5, 4],\n [0, 0, 2, 0, 4],\n [0, 0, 1, 1, -5],\n [0, 0, 0, -2, -1],\n [0, 0, 0, 0, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "532", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 5, 1, 3, -2],\n [5, 4, 2, 2, 3],\n [1, 2, 4, -3, -2],\n [3, 2, -3, 5, 0],\n [-2, 3, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "450", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 4, -2, 0],\n [2, -3, 2, -1, 4],\n [3, -1, -5, 3, 3],\n [-4, -2, 3, 3, -3],\n [2, 0, 3, -4, -3]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, 1, 2, -2],\n [-2, -4, 2, 2, 4],\n [1, 2, 3, 0, 4],\n [2, 2, 0, -5, 1],\n [-2, 4, 4, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "472", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[3, -5, 2, -4, 2],\n [0, 4, -1, -5, -3],\n [0, 0, -4, 2, 1],\n [0, 0, 0, 1, 0],\n [0, 0, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[4, -1, -3, -4, 0],\n [-1, 5, 0, -5, 1],\n [-3, 0, 5, -2, 0],\n [-4, -5, -2, 3, -1],\n [0, 1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, -4, 2, 1],\n [0, -4, 0, 2, -2],\n [-4, 0, -3, -2, 2],\n [2, 2, -2, -1, 0],\n [1, -2, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[5, -4, 0, -2, 2],\n [1, -2, -3, 3, 4],\n [-5, 2, 3, -2, -4],\n [0, 5, 0, -5, 1],\n [5, 1, -5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-2, 0, -3, -4, -1],\n [0, 2, -3, -1, 1],\n [0, 0, -4, 5, -2],\n [0, 0, 0, 1, 0],\n [0, 0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, 3, 0, -5],\n [0, 0, 5, 1, 1],\n [0, 0, 3, 5, 4],\n [0, 0, 0, 3, -5],\n [0, 0, 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": "237", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-2, 2, -4, 2, 2],\n [-5, 3, 4, 3, 0],\n [3, -3, -4, 3, -4],\n [4, 1, 0, 0, 5],\n [-4, 0, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -5, 5, 3],\n [0, 2, 2, -3, 1],\n [0, 0, -4, 2, 2],\n [0, 0, 0, 1, -5],\n [0, 0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "758", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[5, 2, 0, -4, -1],\n [2, 2, 0, 0, 0],\n [0, 0, 4, 2, -2],\n [-4, 0, 2, -3, 5],\n [-1, 0, -2, 5, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, -5, -2, -4, -5],\n [0, -3, -4, -1, -3],\n [0, 0, 2, -2, 3],\n [0, 0, 0, 5, 2],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -1, 3, 5],\n [-5, -5, -2, -5, 5],\n [-3, 1, -5, -1, 5],\n [0, 0, 2, 0, 3],\n [-5, -4, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4355", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -3, 1, -4],\n [5, -4, -3, 5, -3],\n [4, 4, -3, -2, -4],\n [0, 4, 3, -3, 5],\n [4, -5, -1, -5, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, -2, -4, 1],\n [-2, 0, 0, 0, 2],\n [3, 2, 3, 3, 4],\n [-1, 5, 1, -3, 0],\n [-4, -5, 4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "963", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 2th power of the matrix:\n[[-2, 3, 2, 4, 0],\n [3, -4, 1, -1, 2],\n [2, 1, 2, 2, 0],\n [4, -1, 2, 3, -2],\n [0, 2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 4, -2, 5],\n [0, -1, 3, 2, -2],\n [0, 0, 2, 0, 2],\n [0, 0, 0, 4, -1],\n [0, 0, 0, 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": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -5, -3, 3, 5],\n [0, 0, -5, -4, 3],\n [0, 0, -3, 0, 4],\n [0, 0, 0, -3, -4],\n [0, 0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "751", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, 4, -4, 2, 2],\n [4, -2, 0, 2, 2],\n [-4, 0, -3, -4, 0],\n [2, 2, -4, 5, 2],\n [2, 2, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the 4th power of the matrix:\n[[4, -1, 4, 2, 2],\n [-1, -1, -4, -2, -3],\n [4, -4, -5, -2, 1],\n [2, -2, -2, 5, 2],\n [2, -3, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2152", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, -2, 1, 2],\n [0, 5, 3, -4, -4],\n [0, 0, 0, -3, 3],\n [0, 0, 0, 2, 1],\n [0, 0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, 2, 3, -3, 3],\n [0, 0, -2, -5, -4],\n [0, 0, 1, -1, -2],\n [0, 0, 0, -5, 3],\n [0, 0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[5, -1, 1, 2, -2],\n [-1, 4, 3, 0, 2],\n [1, 3, 2, 3, 1],\n [2, 0, 3, 4, -2],\n [-2, 2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "351", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2, -2, 2],\n [0, 3, 1, 3, -4],\n [-2, 1, 5, -2, 3],\n [-2, 3, -2, 4, -1],\n [2, -4, 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": "5317", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, 0, 1, -4],\n [-1, 2, -2, 3, -3],\n [-2, 5, -3, 1, 0],\n [5, -3, 5, 3, 1],\n [-2, -3, 4, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12493", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 5, 1, 3],\n [-2, 3, 0, 0, 1],\n [0, 0, -2, 3, -3],\n [2, 2, -2, 0, -4],\n [4, 5, -3, 5, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -5, 2, -1, 2],\n [2, 1, 4, 3, -2],\n [-3, 5, -2, 5, -5],\n [1, 0, -5, 5, 4],\n [1, 2, 5, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -2, 1, 0],\n [0, 0, -2, 4, 2],\n [-2, -2, -1, 2, -2],\n [1, 4, 2, -1, 4],\n [0, 2, -2, 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": "17811", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, -1, 2, 3],\n [0, -1, 0, -4, 2],\n [0, 0, -4, -4, 2],\n [0, 0, 0, 1, 3],\n [0, 0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-368", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 2, -2, -4],\n [4, 1, -2, -3, 3],\n [2, 4, -5, 2, -5],\n [-1, -2, -1, 1, 4],\n [-4, 5, -5, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3994", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 1, 5, 5],\n [-4, -2, 5, 0, 0],\n [-1, -1, 5, -1, -2],\n [-4, -1, 3, -1, 3],\n [4, -2, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17826", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -1, 0, 5, 1],\n [-1, -2, -3, -1, 2],\n [0, -3, -5, -1, 0],\n [5, -1, -1, 4, -2],\n [1, 2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -5, 2, 4, 0],\n [-3, -1, 4, 1, -3],\n [1, -2, -3, 4, 3],\n [1, 5, 0, -1, 1],\n [-3, -1, 0, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2699", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 3, 0, 2, 0],\n [0, 3, 1, 3, 1],\n [0, 0, 2, 2, 1],\n [0, 0, 0, 2, 4],\n [0, 0, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3224", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-4, 0, 3, -3, -2],\n [4, 0, 1, -5, 2],\n [5, 1, -4, -3, -2],\n [-2, -3, -2, 2, 2],\n [5, -5, 5, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 2, 0, -2, 0],\n [2, 3, 4, 2, -3],\n [0, 4, -2, -1, 1],\n [-2, 2, -1, -1, 1],\n [0, -3, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, -4, -2, 2],\n [-1, 4, -4, -1, -4],\n [-4, -4, 4, 2, 2],\n [-2, -1, 2, 3, -2],\n [2, -4, 2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 3, -1, -2, -1],\n [-3, -3, 4, 0, 2],\n [-2, 1, 5, 0, -3],\n [0, 1, -2, -2, -1],\n [-1, -2, 0, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4794", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 2th power of the matrix:\n[[0, 1, 2, -2, 0],\n [1, 0, -2, 2, 0],\n [2, -2, -2, 1, 3],\n [-2, 2, 1, 4, 1],\n [0, 0, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 2, 5, -1, -4],\n [-4, 3, -3, 1, 4],\n [3, 4, 4, -3, 1],\n [1, 5, 2, 4, 5],\n [-2, -5, 1, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[3, 2, -5, -4, 4],\n [0, 3, 1, -4, -2],\n [5, 0, 1, 5, 5],\n [-3, 2, -4, 3, -2],\n [-5, -4, -1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (5, 3) of the result:\nA =\n[[-5, -3, -4, -2, 3],\n [4, 5, 1, -2, -1],\n [-3, -3, -2, 1, 4],\n [-4, -3, -4, 5, -2],\n [4, 1, 5, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7863", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-5, 4, 2, -3, 0],\n [-5, -2, 5, 5, 5],\n [-2, -3, -3, -1, -4],\n [0, -2, 1, 4, 3],\n [3, -4, 2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, -1, 1, -3],\n [-4, 5, 2, -3, -5],\n [5, -1, 2, 3, 4],\n [-2, -2, -2, 2, 3],\n [3, -1, -1, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13031", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[5, -4, 2, 2, -1],\n [5, 0, -2, -4, -3],\n [0, 4, 1, 1, -2],\n [-1, 5, 0, 2, -4],\n [5, -4, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[5, 4, -5, 2, -1],\n [0, 1, 0, -2, -5],\n [0, 0, 1, -5, 0],\n [0, 0, 0, 1, -1],\n [0, 0, 0, 0, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[2, 2, 0, 1, -2],\n [2, -3, -4, 4, -4],\n [0, -4, -3, 2, 2],\n [1, 4, 2, -5, -2],\n [-2, -4, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) of the matrix A^4 where A is:\n[[1, 2, 0, 0, 0],\n [2, 0, 0, -2, 2],\n [0, 0, 2, 4, 0],\n [0, -2, 4, 2, -2],\n [0, 2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (5, 1) of the result:\nA =\n[[-4, 5, -2, 2, -2],\n [5, -5, 1, -1, 0],\n [-2, 1, 0, -1, 2],\n [2, -1, -1, 0, 0],\n [-2, 0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -4, -2, 3],\n [0, 2, 5, -5, 4],\n [0, 0, -5, -4, -2],\n [0, 0, 0, -2, -2],\n [0, 0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2327", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, 0, -5, 0],\n [4, -4, 4, -2, -3],\n [0, 4, -5, -2, -2],\n [-5, -2, -2, -5, 3],\n [0, -3, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "543", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 5, -2, -4, -5],\n [3, 1, 5, -2, 3],\n [0, 4, 1, 2, -3],\n [4, -4, -5, 2, 2],\n [4, -1, -2, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (5, 1) of the result:\nA =\n[[0, 0, 1, -4, -3],\n [0, -1, 2, 2, 0],\n [0, 0, -5, -5, -5],\n [0, 0, 0, -3, 0],\n [0, 0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -4, 3, -2],\n [-2, 3, -2, 4, 5],\n [-4, -4, -3, 4, -3],\n [5, 2, 4, -3, -1],\n [-1, -3, 4, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71978", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 1, 2, -2, 0],\n [1, 2, 0, -2, 0],\n [2, 0, 1, 0, -2],\n [-2, -2, 0, 4, -2],\n [0, 0, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -3, -2, 0, 3],\n [-3, 5, 5, 1, 2],\n [-2, 5, -1, 2, -4],\n [0, 1, 2, -1, -2],\n [3, 2, -4, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7024", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, 2, 3, 0, -1],\n [2, 4, 1, 5, 2],\n [3, 1, -4, -2, 0],\n [0, 5, -2, -1, 2],\n [-1, 2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1173", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[3, -1, 5, 5, -5],\n [-5, 5, -5, 5, 0],\n [5, 5, -5, -4, 5],\n [3, 5, -3, 5, 0],\n [0, 2, 3, 5, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-5, -4, 2, -2, -2],\n [-4, 4, 1, 0, 0],\n [2, 1, 1, -4, 3],\n [-2, 0, -4, 0, 4],\n [-2, 0, 3, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, 1, 1, 4, -5],\n [1, 2, 0, -1, -4],\n [-1, 4, 5, -4, 3],\n [-4, 4, 4, 1, -1],\n [3, -1, -3, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -3, -1, 3],\n [-5, -5, -1, 5, 4],\n [3, 4, -5, 1, 2],\n [-5, 2, 1, 5, 5],\n [1, 4, -3, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "613", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (5, 3) of the result:\nA =\n[[2, 4, -3, 0, 1],\n [0, 2, 0, 3, -5],\n [0, 0, -5, 3, 0],\n [0, 0, 0, -1, 5],\n [0, 0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -1, -2, -4],\n [2, 3, 2, -2, -4],\n [-1, 2, -1, 0, -2],\n [-2, -2, 0, 0, -3],\n [-4, -4, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2033", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, 0, 3, 5, 1],\n [4, 4, -1, -2, 2],\n [-2, -4, 1, 2, -3],\n [-2, 5, -4, 1, 2],\n [-2, -4, 1, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9290", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) of the matrix A^2 where A is:\n[[-4, -5, -2, 3, -3],\n [0, 3, 0, -2, 4],\n [0, 0, -1, -4, 5],\n [0, 0, 0, -5, 1],\n [0, 0, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, 2, 4],\n [4, -2, 2, -3, 4],\n [-1, 2, 5, 1, 2],\n [2, -3, 1, 1, 2],\n [4, 4, 2, 2, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, -5, -5, -4, 0],\n [0, -3, -5, 5, -3],\n [0, 0, 0, 4, 1],\n [0, 0, 0, 2, -4],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 2, 5, 5],\n [5, -2, 3, -1, 4],\n [-4, -4, 1, -4, 2],\n [4, -1, 5, -2, -3],\n [4, 5, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "746", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, -2, 5, 4],\n [0, 1, 0, -4, -5],\n [0, 0, 1, -2, -1],\n [0, 0, 0, -5, 5],\n [0, 0, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 5, -3, 4],\n [0, -3, -3, 3, 0],\n [5, -3, 1, -2, 0],\n [-3, 3, -2, 1, 3],\n [4, 0, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 5) of the result:\nA =\n[[-1, 2, -2, -2, 4],\n [2, -4, 0, 0, 0],\n [-2, 0, 5, -3, -2],\n [-2, 0, -3, -5, 3],\n [4, 0, -2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, -4, 0, -4],\n [2, 2, -2, -4, -1],\n [4, 5, 5, 2, -5],\n [1, 2, 0, -3, 5],\n [-1, 4, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1435", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, -2, -1, -5],\n [0, -3, -5, 0, 2],\n [0, 0, 3, 0, 3],\n [0, 0, 0, 3, 1],\n [0, 0, 0, 0, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "487", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, 1, 0, -4, -2],\n [1, 0, 0, -2, 4],\n [0, 0, -5, 2, 0],\n [-4, -2, 2, 5, 4],\n [-2, 4, 0, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, -4, 2, -1, -2],\n [-4, -3, 0, 1, 2],\n [2, 0, 5, 0, -3],\n [-1, 1, 0, -5, 2],\n [-2, 2, -3, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[5, -1, 4, -2, 0],\n [0, 3, 5, -4, 0],\n [0, 0, -2, 4, 1],\n [0, 0, 0, 2, -1],\n [0, 0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-5, 2, -2, -1, 0],\n [2, -5, -2, 2, 2],\n [-2, -2, 2, 2, 2],\n [-1, 2, 2, -4, -4],\n [0, 2, 2, -4, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[5, 3, -5, -3, 4],\n [0, 1, -1, 2, -4],\n [0, 0, 5, -3, 4],\n [0, 0, 0, -5, 3],\n [0, 0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9566", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (5, 3) of the result:\nA =\n[[-2, 5, 3, 0, -4],\n [5, -5, 5, -1, -2],\n [-3, 0, 2, 5, 5],\n [1, -5, 5, -5, 5],\n [5, 1, 0, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2528", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 5, -2, -3, -2],\n [1, -2, -4, 5, -3],\n [-4, -4, 5, 5, 5],\n [-2, -5, -2, -3, -3],\n [-2, -5, -4, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4662", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -4, -2, 1, -3],\n [-4, 3, 2, -4, -2],\n [-2, 2, -2, 2, 0],\n [1, -4, 2, 4, 1],\n [-3, -2, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 4, -2, -1, 2],\n [5, 4, -3, -4, -2],\n [-2, 0, -3, -4, -1],\n [1, 5, 5, -3, 2],\n [-3, -2, -3, 5, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[5, -4, 3, -1, 5],\n [-4, 5, -5, 2, -1],\n [-5, -1, 5, 5, -2],\n [0, -3, 1, -3, 4],\n [0, -2, -2, -5, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4640", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[5, 3, -2, 4, 1],\n [4, -1, 2, -1, 1],\n [-2, -3, -1, -3, 5],\n [-1, 4, 1, -5, 1],\n [-2, 1, -1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, -3, 3, 0],\n [1, 0, 4, -3, 1],\n [-3, 4, 2, 0, 0],\n [3, -3, 0, -1, -5],\n [0, 1, 0, -5, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, 2, 2, 2],\n [-3, -2, 1, 0, -1],\n [2, 1, -1, 1, 4],\n [2, 0, 1, 3, 2],\n [2, -1, 4, 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": "13848", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, -1, -5, -2, 5],\n [-3, -5, 0, 3, 0],\n [-5, -4, 3, 4, -3],\n [4, -5, 2, 5, 0],\n [1, -4, 0, -1, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 2, -2, 2],\n [2, 2, -3, 2, 2],\n [2, -3, 1, 0, 2],\n [-2, 2, 0, 5, -2],\n [2, 2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1278", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 2th power of the matrix:\n[[-4, -4, 0, 5, 4],\n [0, 1, -5, 0, -3],\n [0, 0, -1, -4, -3],\n [0, 0, 0, -3, -4],\n [0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-2, 3, -4, 5, 0],\n [0, 5, 5, 5, -4],\n [0, 0, 3, 2, 1],\n [0, 0, 0, 0, -5],\n [0, 0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 2, 4, -3],\n [2, 5, 0, -1, 2],\n [2, 0, -5, -2, -1],\n [4, -1, -2, 5, 1],\n [-3, 2, -1, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (5, 3) of the result:\nA =\n[[-1, 2, 4, -4, -4],\n [2, -4, 0, 0, -1],\n [4, 0, -2, 2, 0],\n [-4, 0, 2, -1, 3],\n [-4, -1, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -4, -2, 4, -2],\n [0, 1, 0, -1, 1],\n [1, -5, 3, 2, -3],\n [4, -2, 0, 2, -5],\n [-5, -5, 3, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, -3, -1, 5],\n [0, -1, 4, -2, 4],\n [0, 0, -2, -1, 3],\n [0, 0, 0, -1, 4],\n [0, 0, 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": "155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 1, -1, -1],\n [0, -2, -5, -5, -3],\n [0, 0, -5, 4, 3],\n [0, 0, 0, 0, 4],\n [0, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 3, -2, -5],\n [0, 1, 4, 1, -1],\n [0, 0, -2, -2, -4],\n [0, 0, 0, -3, -1],\n [0, 0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 0, 2, -3],\n [3, 0, 0, -2, -2],\n [0, 0, 4, -3, 1],\n [2, -2, -3, -5, 0],\n [-3, -2, 1, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 0, 1, -3, -3],\n [4, 4, 0, -2, -2],\n [-2, -2, -5, 2, -5],\n [0, 4, 2, 0, -3],\n [5, -4, 1, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "362", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -5, 2, -4, -2],\n [0, -1, 5, 2, 2],\n [0, 0, -4, -2, -1],\n [0, 0, 0, 0, 0],\n [0, 0, 0, 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": "620", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the 2th power of the matrix:\n[[-1, -3, 1, 4, -2],\n [3, -1, -3, -2, -5],\n [2, -1, -5, 4, 5],\n [1, 0, -1, 1, 0],\n [-3, 4, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 4, 0, -1],\n [1, 4, 3, 2, -3],\n [-3, -4, 2, 3, 4],\n [-2, -2, 0, -2, -1],\n [-4, 0, 2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[5, 3, 2, -2, -1],\n [2, 2, 3, -2, -1],\n [4, 5, 4, -5, -3],\n [2, -4, -2, -2, -5],\n [-2, 1, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3503", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 3, 2, -4, 2],\n [1, 1, -5, 0, 4],\n [3, -4, -1, 5, -5],\n [-2, 0, 4, 5, 5],\n [3, 5, 3, 2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 5, -2, 0],\n [0, 4, -3, 3, 3],\n [0, 0, 2, -5, 3],\n [0, 0, 0, 2, 0],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 2th power of the matrix:\n[[-5, 2, -1, -2, 2],\n [2, 5, 0, 2, -4],\n [-1, 0, 1, -2, -1],\n [-2, 2, -2, -4, -1],\n [2, -4, -1, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[4, 0, 4, 4, 4],\n [0, -5, 1, 5, -1],\n [0, 0, 5, -1, 4],\n [0, 0, 0, -3, 0],\n [0, 0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2, -3, -2],\n [0, 1, 2, 4, -2],\n [2, 2, 0, 2, 0],\n [-3, 4, 2, 2, 0],\n [-2, -2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 0, 2, -3],\n [0, -3, -4, -3, -5],\n [0, 0, -5, -4, 0],\n [0, 0, 0, -2, 2],\n [0, 0, 0, 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": "8685", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 5, 2, -1],\n [0, 0, -5, 0, 3],\n [0, 0, -4, 5, 4],\n [0, 0, 0, -1, -2],\n [0, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[0, 0, 3, 1, -1],\n [0, -3, 4, 0, 0],\n [3, 4, -1, -2, 5],\n [1, 0, -2, -3, -1],\n [-1, 0, 5, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -1, -3, 2],\n [1, -2, 5, 3, -3],\n [2, 4, 3, -2, -3],\n [2, 4, 5, -4, 4],\n [-2, -4, 0, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3436", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -5, 4, 0],\n [1, 3, 3, 5, 2],\n [5, -4, -4, 1, 4],\n [-4, -5, -2, -5, -1],\n [-2, 5, 5, 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": "2108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 5, 2, 5, 0],\n [0, -2, 2, -2, -5],\n [0, 0, -4, -2, 0],\n [0, 0, 0, 4, 2],\n [0, 0, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1545", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[4, -2, 0, -2, 1],\n [-2, 3, 0, 5, -4],\n [0, 0, 1, 0, 5],\n [-2, 5, 0, 1, 0],\n [1, -4, 5, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 2, 0, 0],\n [2, 0, 0, 1, 1],\n [2, 0, -3, 0, 0],\n [0, 1, 0, 5, -1],\n [0, 1, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3485", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, -1, 3, -1],\n [5, -2, -5, 5, -4],\n [3, 5, -4, -2, -1],\n [1, 1, 2, 0, -5],\n [5, -1, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "613", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, 1, 0, 0],\n [-1, -2, 2, 0, 2],\n [1, 2, -5, 0, 0],\n [0, 0, 0, 0, -3],\n [0, 2, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-5, 0, -2, -2, -2],\n [0, -3, 2, 1, -4],\n [-2, 2, 1, -2, -1],\n [-2, 1, -2, -2, 0],\n [-2, -4, -1, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, -4, -4, 0, -1],\n [4, -5, -2, 2, -1],\n [1, -2, 1, -1, -5],\n [-1, 4, -1, 4, 1],\n [4, -4, -4, -4, 5]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, -2, -1, -2],\n [0, -2, -2, 0, 2],\n [0, 0, -2, -1, 2],\n [0, 0, 0, 4, -3],\n [0, 0, 0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 4, 4, 4, -4],\n [4, 2, 0, 0, -2],\n [4, 0, 2, 1, -3],\n [4, 0, 1, 5, 2],\n [-4, -2, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-2, -2, 0, -3, -5],\n [-2, -2, -1, 0, 2],\n [0, -1, 3, 0, 0],\n [-3, 0, 0, 2, 1],\n [-5, 2, 0, 1, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-5, 3, -4, 4, -2],\n [0, -5, -4, 3, -3],\n [0, 0, -3, -2, 2],\n [0, 0, 0, -1, -1],\n [0, 0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 4, -5, 4],\n [0, 1, 0, -5, 3],\n [0, 0, -3, 2, 2],\n [0, 0, 0, 1, 3],\n [0, 0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-5, -1, 2, -3, 3],\n [-5, 1, 3, 3, 0],\n [3, 0, 1, -2, -1],\n [-5, 2, -1, -2, 2],\n [2, 0, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 2, 5, -4],\n [0, 4, 2, 3, -1],\n [2, 2, 3, 4, -2],\n [5, 3, 4, 3, -2],\n [-4, -1, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116151", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -3, -3, 4],\n [-2, -5, 0, -1, 0],\n [-3, 0, -4, -2, 0],\n [-3, -1, -2, -2, 1],\n [4, 0, 0, 1, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[3, -4, 4, 2, -3],\n [-1, 4, -5, 2, 4],\n [-4, 0, -2, -1, -4],\n [1, -4, 1, 0, -1],\n [4, 2, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -4, 0, 5, 4],\n [-4, 5, 2, -2, -4],\n [0, 2, 3, -2, 0],\n [5, -2, -2, 5, 0],\n [4, -4, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "776", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 4, 4, -2, 3],\n [0, 4, -3, 1, 3],\n [0, 0, -3, 4, 1],\n [0, 0, 0, 5, 3],\n [0, 0, 0, 0, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, 5, -1, 1],\n [4, 0, -5, -2, 5],\n [2, -4, -5, 0, -1],\n [-1, 3, 4, -3, -2],\n [2, 3, -2, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34509", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 5, 5, -1, 4],\n [0, -1, 1, 5, 0],\n [0, 0, -3, -2, -4],\n [0, 0, 0, -1, 0],\n [0, 0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "886", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -2, -3, 4],\n [-3, 0, 4, 2, 2],\n [1, 5, 5, -1, 1],\n [-4, -4, 0, 0, 3],\n [1, -4, -5, -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": "1812", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-5, 5, 3, -5, 4],\n [0, -2, -2, 5, 0],\n [0, 0, -5, 2, -2],\n [0, 0, 0, -4, 4],\n [0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 5, 0, 2],\n [0, -3, 3, -4, 5],\n [0, 0, 0, -2, -2],\n [0, 0, 0, 4, -4],\n [0, 0, 0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, 2, -2, -2],\n [-4, -5, 0, -2, 4],\n [2, 0, 3, 2, -5],\n [-2, -2, 2, 1, 1],\n [-2, 4, -5, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 1, 3, -4],\n [0, -1, 5, 4, 0],\n [0, 0, -4, 1, 4],\n [0, 0, 0, 5, 3],\n [0, 0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1125", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, 2, 4, 2, 4],\n [0, 4, 1, -4, 5],\n [0, 0, -1, -3, 2],\n [0, 0, 0, 3, 0],\n [0, 0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, 4, 5, 5],\n [-1, 3, -5, -1, -1],\n [-4, -3, 0, 4, -2],\n [2, 4, -2, -5, -5],\n [0, -4, -3, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "872", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, 5, 4, -5, 0],\n [5, -1, -1, 4, 5],\n [3, 1, 5, 2, 5],\n [-5, -1, -2, 3, 3],\n [-2, 3, -1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 1, 3, 5],\n [0, 0, -2, 0, -5],\n [0, 0, 5, -3, 0],\n [0, 0, 0, 3, -2],\n [0, 0, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 4, 0, 2, 3],\n [0, -3, 5, 3, -2],\n [0, 0, -3, 0, -2],\n [0, 0, 0, -3, 0],\n [0, 0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[5, 4, -5, 4, -5],\n [3, -5, 1, 4, -2],\n [-4, -4, 1, 2, 5],\n [-5, 4, -1, 5, -1],\n [-2, -1, -4, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "438", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -3, -5, 0],\n [0, 0, -2, 0, 1],\n [0, 0, -4, 2, 5],\n [0, 0, 0, -2, 5],\n [0, 0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "550", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 3, 0, -4],\n [0, -1, 0, 5, -2],\n [3, 0, 5, 0, 0],\n [0, 5, 0, 2, -2],\n [-4, -2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-594", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, 5, 2, -2, -4],\n [5, -3, 2, -1, 0],\n [2, 2, -4, -3, 0],\n [-2, -1, -3, 4, 2],\n [-4, 0, 0, 2, -5]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 1, 3, -4],\n [2, 0, -5, -3, -3],\n [0, 1, 0, -4, 1],\n [4, 2, -2, -4, -1],\n [4, 1, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 5, 2, -4, -3],\n [-3, 3, -1, -3, 3],\n [0, -2, 0, 5, 2],\n [3, 1, 2, 0, -1],\n [-5, -4, 4, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -1, 0, -4],\n [0, 5, -2, 1, -4],\n [0, 0, -5, 1, 2],\n [0, 0, 0, 5, 1],\n [0, 0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 3, 0, 5],\n [0, -4, -1, -5, -2],\n [0, 0, -2, -3, 2],\n [0, 0, 0, -3, 1],\n [0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 4, -2, 5, 0],\n [4, -4, 0, 0, -2],\n [-2, 0, 0, 2, -1],\n [5, 0, 2, -5, 0],\n [0, -2, -1, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) of the matrix A^2 where A is:\n[[0, 0, -3, 1, -4],\n [0, 3, 4, 0, -1],\n [-3, 4, 4, -1, -4],\n [1, 0, -1, -3, 2],\n [-4, -1, -4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, -2, 5, 4, 2],\n [4, -1, 5, 1, 2],\n [5, 5, 5, 3, 5],\n [3, -1, 2, -1, -5],\n [2, 2, 4, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "682", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[1, 1, -4, -3, 0],\n [5, -4, -4, 4, 3],\n [4, 3, 3, 4, -1],\n [3, -5, -3, 4, -4],\n [-4, -2, -5, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1059", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 5, -5, -5, -3],\n [5, -5, -4, -1, 0],\n [0, -5, -4, -5, -3],\n [1, 4, -3, 0, 2],\n [4, -5, 5, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, -2, 2, -4],\n [1, 4, -4, -2, -2],\n [-2, -4, -1, -2, 0],\n [2, -2, -2, -2, -3],\n [-4, -2, 0, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[4, -5, 4, 0, -3],\n [1, 4, 0, 1, -4],\n [-1, 5, -3, -2, 3],\n [5, 1, -3, -3, 4],\n [0, -1, -5, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 3, -3, 3, -1],\n [-2, -2, 5, -5, 1],\n [3, 2, 4, 1, -2],\n [5, -4, -3, 2, 4],\n [-4, -2, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2845", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, 1, -2, -2, 0],\n [1, 3, 2, 0, -2],\n [-2, 2, -5, 3, -2],\n [-2, 0, 3, -1, -2],\n [0, -2, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^2 where A is:\n[[-1, -3, -3, 2, -5],\n [-2, -2, 0, -3, 4],\n [-2, 5, 1, 3, -5],\n [-3, -2, -1, -4, 2],\n [-4, 3, 5, 5, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-5, 4, 3, 2, 1],\n [4, -1, 0, -2, 4],\n [3, 0, 2, -4, 4],\n [2, -2, -4, -5, 2],\n [1, 4, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "765", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -3, 2, 5, 2],\n [0, 4, -2, -4, -3],\n [0, 0, 4, 0, -5],\n [0, 0, 0, 5, 5],\n [0, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1451", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -4, 3, 3, 4],\n [5, -1, 1, -4, 1],\n [-5, -2, -1, -1, -5],\n [-2, 5, 0, -4, 1],\n [2, 5, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 0, -2, -4, 2],\n [0, 0, 4, 0, -2],\n [-2, 4, 3, 3, 1],\n [-4, 0, 3, 1, -4],\n [2, -2, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, -3, -5, -3],\n [0, -2, 5, 2, 5],\n [0, 0, -4, -2, 0],\n [0, 0, 0, 2, 2],\n [0, 0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, 2, 2, 5],\n [0, -3, 4, -5, 5],\n [0, 0, 0, 3, -4],\n [0, 0, 0, -5, -1],\n [0, 0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, -2, -2, 2, 0],\n [-2, 4, -4, -4, -4],\n [-2, -4, 5, -2, 4],\n [2, -4, -2, 1, 1],\n [0, -4, 4, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-4, 2, 4, -4, 5],\n [-5, -2, 0, -3, -5],\n [-4, 2, 3, 3, 0],\n [2, -1, 1, 0, -5],\n [0, 2, -2, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-5, 5, -3, -1, -3],\n [2, 4, -3, -2, 3],\n [-5, -4, -2, 5, -4],\n [-3, -2, 1, 0, 2],\n [1, 4, 4, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "529", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 4, -4, -4, -2],\n [4, 3, 0, 3, 1],\n [-4, 0, -3, -2, -2],\n [-4, 3, -2, -2, -4],\n [-2, 1, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57941", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 4) of the result:\nA =\n[[2, -1, -3, 5, 2],\n [0, 1, -5, 3, -2],\n [0, 0, 0, -3, 5],\n [0, 0, 0, -5, 1],\n [0, 0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[4, 4, -2, -3, 3],\n [0, 2, -2, 0, -4],\n [0, 0, 1, -1, -2],\n [0, 0, 0, -2, -5],\n [0, 0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, -4, 5, 2],\n [0, -2, -4, -1, -5],\n [0, 0, -2, 0, -4],\n [0, 0, 0, -2, 5],\n [0, 0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1530", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 1, -2, 1],\n [-2, -1, 1, -3, 2],\n [-3, 1, 2, 4, -3],\n [-4, 0, 1, -4, -4],\n [1, 2, -5, -3, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the 2th power of the matrix:\n[[-5, -5, 3, -5, -5],\n [0, 0, -4, 4, -1],\n [0, 0, -5, 5, -4],\n [0, 0, 0, 4, 1],\n [0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, 0, 3, 1],\n [0, -5, -3, 1, 0],\n [0, 0, -3, 0, -5],\n [0, 0, 0, -4, 2],\n [0, 0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5899", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -1, 0, -1],\n [2, 3, 2, 4, -1],\n [-1, 2, 1, -2, -2],\n [0, 4, -2, -4, 0],\n [-1, -1, -2, 0, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8058", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, -4, 2, 2],\n [-4, 4, -2, 4, -3],\n [-4, -2, 4, -2, -2],\n [2, 4, -2, 5, -1],\n [2, -3, -2, -1, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3038", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[2, 1, -4, -4, 0],\n [1, 0, 0, 0, -3],\n [-4, 0, -1, 1, 2],\n [-4, 0, 1, 0, -2],\n [0, -3, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -5, -2, -5],\n [0, -4, -5, -2, -2],\n [0, 0, -1, -5, 4],\n [0, 0, 0, -3, -5],\n [0, 0, 0, 0, 1]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, -1, -4, 2],\n [0, 2, -1, -3, -2],\n [0, 0, 3, -4, -1],\n [0, 0, 0, -3, 5],\n [0, 0, 0, 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": "159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, -3, 0, 2, 3],\n [0, 5, -4, 5, 2],\n [0, 0, 2, 0, 4],\n [0, 0, 0, -5, -5],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, -2, -1, -1, -2],\n [-2, -1, -2, 4, -4],\n [-1, -2, 3, -3, 2],\n [-1, 4, -3, -5, -2],\n [-2, -4, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, -2, -2, 0, 4],\n [-2, -1, -2, -2, 4],\n [-2, -2, -5, -1, -2],\n [0, -2, -1, 3, 2],\n [4, 4, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-2, -5, -5, -2, 2],\n [0, 0, 2, -5, 2],\n [0, 0, 2, 4, -4],\n [0, 0, 0, -2, 1],\n [0, 0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 2, 1, 1],\n [0, 5, -2, 2, 2],\n [2, -2, -5, 2, 0],\n [1, 2, 2, 1, 0],\n [1, 2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 1, 2, 3, -4],\n [2, 5, -5, -4, 4],\n [0, -2, 0, 0, -1],\n [3, 1, 2, 5, -5],\n [4, -2, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3731", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 5, -4, -4, 5],\n [0, -5, -4, -5, 0],\n [0, 0, 3, -5, -2],\n [0, 0, 0, 0, 3],\n [0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^2 where A is:\n[[5, -1, -3, 4, 5],\n [-5, -5, 2, -5, 1],\n [4, -2, -5, -5, 3],\n [-4, -2, -2, -2, -3],\n [-1, 0, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 0, -3, 0, -1],\n [0, -4, -3, -2, 2],\n [-3, -3, 0, 4, 2],\n [0, -2, 4, 0, 0],\n [-1, 2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "239", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, -5, -1, -4],\n [3, -1, 1, 0, -3],\n [-4, -1, -1, 0, -5],\n [2, -2, 1, 4, 2],\n [-2, -3, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 2, 2, 4],\n [-2, -3, 2, 0, 4],\n [2, 2, -5, 0, 0],\n [2, 0, 0, 5, 0],\n [4, 4, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "432", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, 4, -3, 2, -5],\n [0, 2, -1, -2, -5],\n [0, 0, -1, -4, 0],\n [0, 0, 0, 3, 4],\n [0, 0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-5, -4, -3, 3, 2],\n [-4, 5, 0, 2, 0],\n [0, 0, -5, 5, 1],\n [0, 0, 1, 5, 2],\n [2, -4, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2961", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 5, -2, -4, 2],\n [5, -3, -4, 1, -2],\n [-2, -4, 3, -2, -4],\n [-4, 1, -2, 2, 4],\n [2, -2, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 5, 2, 5, -1],\n [0, -3, 0, -2, 5],\n [0, 0, 5, 3, -4],\n [0, 0, 0, 3, 2],\n [0, 0, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3999", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 1, -2, -1],\n [2, -2, 1, 1, 0],\n [1, 1, 1, 3, -2],\n [-2, 1, 3, -2, 0],\n [-1, 0, -2, 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": "8539", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 2, -2, 0],\n [-2, 4, 5, 0, 0],\n [2, 5, 5, -2, 0],\n [-2, 0, -2, 2, 2],\n [0, 0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29326", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-4, 4, 2, 0, 0],\n [4, 2, 0, -2, 2],\n [2, 0, -1, -4, 1],\n [0, -2, -4, -1, 2],\n [0, 2, 1, 2, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "381", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 4, 4, -1, 3],\n [0, 3, -5, 0, -1],\n [0, 0, -2, -2, 1],\n [0, 0, 0, 0, -2],\n [0, 0, 0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -3, 5, 3],\n [1, -2, 1, -4, 2],\n [-5, -3, 3, 3, -2],\n [4, 3, -4, 5, 3],\n [-4, 5, -5, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3027", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 3, 0, 1, 0],\n [0, 2, -5, 0, 0],\n [0, 0, -1, 1, 4],\n [0, 0, 0, -4, 3],\n [0, 0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-4, -4, 0, 0, -2],\n [-4, 0, -1, -4, -4],\n [0, -1, 1, -1, 5],\n [0, -4, -1, 5, 0],\n [-2, -4, 5, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -4, -4, -5, 3],\n [5, 2, 4, -2, 4],\n [-4, -4, -2, -5, 0],\n [-5, 4, 2, 3, -5],\n [-3, 1, 3, 0, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 1, 5, 0, 0],\n [-4, -2, 4, -3, 2],\n [1, 5, 4, 2, 2],\n [-2, -3, 1, 0, -5],\n [3, 3, 1, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[4, 2, -3, 5, 0],\n [2, -3, 2, 2, 1],\n [-3, 2, -1, -2, 0],\n [5, 2, -2, 4, 1],\n [0, 1, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 3, 2, 5],\n [0, -5, 3, -1, 4],\n [0, 0, 0, -4, 1],\n [0, 0, 0, -5, -5],\n [0, 0, 0, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5478", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-5, 0, -5, 1, -1],\n [0, 1, -3, -5, -4],\n [0, 0, -3, -2, -2],\n [0, 0, 0, 4, 5],\n [0, 0, 0, 0, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 1, 0, 0],\n [-5, 4, -2, 1, 1],\n [-2, -3, 5, 4, 4],\n [2, -1, -5, -2, 0],\n [5, -1, -1, 5, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3001", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^2 where A is:\n[[-5, 2, 0, 2, -3],\n [0, -3, -2, 4, -3],\n [3, -2, 3, 1, -3],\n [-5, 1, -4, -1, -3],\n [-1, 0, 1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 2, 1, 1, 5],\n [-4, 4, -1, 5, -4],\n [4, 3, -4, -5, -1],\n [-5, -2, -5, 3, -5],\n [-3, 3, 5, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-388", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 3, -5, 2],\n [0, 0, 5, 3, 0],\n [1, -3, -2, -2, 1],\n [-4, -2, 2, 2, 4],\n [-4, -2, -1, 5, -4]], determine the value at position (3, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 0, -1],\n [0, 1, 0, -1, 2],\n [0, 0, 2, 0, -4],\n [0, -1, 0, -5, 2],\n [-1, 2, -4, 2, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[5, -2, -4, -4, 5],\n [0, -1, 2, -4, 5],\n [0, 0, -2, -5, 3],\n [0, 0, 0, 2, 2],\n [0, 0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 3, 2, 2],\n [0, -2, -2, -1, 4],\n [0, 0, -2, -4, 3],\n [0, 0, 0, 4, -1],\n [0, 0, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "880", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-5, -2, -1, 5, 3],\n [0, -2, -5, -3, -5],\n [0, 0, 2, 2, -5],\n [0, 0, 0, -2, 3],\n [0, 0, 0, 0, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 5) of the result:\nA =\n[[-3, 1, 5, -2, 4],\n [-1, -5, -2, -3, -4],\n [1, 0, -1, -5, -4],\n [4, 4, 2, -5, -5],\n [3, 3, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-4, -5, 0, 0, 1],\n [0, -4, 5, -1, 5],\n [1, -2, -1, 5, 2],\n [2, 4, 5, -4, 3],\n [4, 1, -1, 5, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "555", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 1, 0, 0, 0],\n [1, -5, -2, 0, 0],\n [0, -2, 0, -1, 4],\n [0, 0, -1, -5, 0],\n [0, 0, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1332", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-5, 5, 1, -4, -1],\n [0, 1, 4, 1, -5],\n [0, 0, 2, -2, -4],\n [0, 0, 0, -5, 3],\n [0, 0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7601", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the 4th power of the matrix:\n[[-4, -4, 2, 0, 0],\n [-4, -3, 0, -2, 2],\n [2, 0, 1, -2, -2],\n [0, -2, -2, -5, 4],\n [0, 2, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1060", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 2th power of the matrix:\n[[0, 5, -3, 5, 1],\n [0, 1, -4, -1, -4],\n [0, 0, 5, 2, -2],\n [0, 0, 0, 3, 4],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -1, 0, 1, 0],\n [-1, 0, 2, -2, 0],\n [0, 2, 3, -2, 2],\n [1, -2, -2, 0, -4],\n [0, 0, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-304", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -4, 0, 2, -5],\n [-5, -2, 2, -1, -4],\n [-4, 3, -2, -3, -3],\n [0, 0, -1, -2, 2],\n [-1, -4, -4, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1232", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) of the matrix A^3 where A is:\n[[-2, -2, -2, 0, 0],\n [-2, 0, -2, -4, 2],\n [-2, -2, 5, 2, 0],\n [0, -4, 2, -3, -4],\n [0, 2, 0, -4, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 2, -4, 4, -2],\n [-3, 4, -3, 1, -1],\n [-4, 4, -2, -5, -1],\n [3, -3, 3, -4, -1],\n [-1, -3, -3, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-5, -5, -3, -2, -2],\n [3, 3, 1, -3, 1],\n [2, -3, 5, -5, -3],\n [-4, 0, 3, 1, 1],\n [3, -2, 4, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-4, 1, -3, -4, -2],\n [4, 5, 4, -5, 4],\n [-3, -3, 1, -2, 4],\n [3, -1, -3, -3, -5],\n [0, 3, 5, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the 4th power of the matrix:\n[[-5, -1, 1, 1, -2],\n [-1, -2, 0, 2, -2],\n [1, 0, -2, 0, 4],\n [1, 2, 0, 4, 0],\n [-2, -2, 4, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1582", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -3, 5, 3, -3],\n [0, -4, 2, -4, 4],\n [0, 0, -2, 5, -5],\n [0, 0, 0, -1, 4],\n [0, 0, 0, 0, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -5, 4, 2, 5],\n [-1, 2, 4, 4, -1],\n [-2, -4, 0, -4, -5],\n [-3, -2, -3, 5, 2],\n [0, 5, -1, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7784", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-4, -2, 0, -4, -1],\n [-2, 1, 0, 3, -3],\n [0, 0, -5, -3, 1],\n [-4, 3, -3, 5, 2],\n [-1, -3, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "397", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, -1, 3, -3],\n [-1, 5, 4, 1, -2],\n [-2, -1, -5, 0, 1],\n [2, 5, -4, 5, 4],\n [3, 1, -4, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1510", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, 0, 0, 5],\n [-4, -3, -2, -5, 1],\n [-1, 5, 4, -5, 0],\n [-4, -1, -4, 1, 0],\n [1, -1, -2, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19146", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -1, 5, 5, -3],\n [0, -4, -3, 1, -4],\n [0, 0, 4, -1, 1],\n [0, 0, 0, 5, -5],\n [0, 0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, 0, -2, 2],\n [2, -3, 0, 0, -2],\n [0, 0, -5, -2, 1],\n [-2, 0, -2, 3, -1],\n [2, -2, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[2, 0, 0, -4, 2],\n [0, -1, 4, -1, 0],\n [0, 4, -5, 1, -2],\n [-4, -1, 1, 5, 1],\n [2, 0, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "440", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-5, 5, 1, -2, 1],\n [-5, 1, 3, 1, -5],\n [4, 5, -4, 1, -1],\n [1, -1, -3, 3, 4],\n [-2, 0, 3, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1550", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, 1, -3, 0, 2],\n [1, 5, 0, -2, -2],\n [-3, 0, 5, -3, 4],\n [0, -2, -3, -1, 2],\n [2, -2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "587", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, -2, 4],\n [4, 4, 2, 3, 0],\n [-1, 2, 5, 4, 0],\n [-2, 3, 4, 4, 0],\n [4, 0, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42130", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -1, -1, 0],\n [0, 4, 5, -5, -5],\n [0, 0, -4, 1, 4],\n [0, 0, 0, -2, -3],\n [0, 0, 0, 0, -2]], determine the value at position (5, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, 3, -5, 3, 5],\n [3, -2, 4, 2, -1],\n [2, 2, -3, -3, 0],\n [-4, 4, -3, -3, 2],\n [2, 0, 2, 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": "4783", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) of the matrix A^2 where A is:\n[[-2, 1, 5, -5, 4],\n [0, 2, -1, 3, 0],\n [0, 0, -1, -3, 1],\n [0, 0, 0, 0, -2],\n [0, 0, 0, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -5, -1, -1],\n [-4, -4, -4, 2, 5],\n [-3, 2, 2, 5, -4],\n [2, 2, 0, -4, -3],\n [-1, 2, 1, 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": "2211", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 3, -5, 4],\n [-3, 4, 5, -4, -4],\n [5, -3, 1, -5, -4],\n [3, 0, -2, -4, 0],\n [4, -2, 0, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3070", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 2) of the result:\nA =\n[[0, 2, 1, 5, 2],\n [4, 3, -4, -5, 4],\n [-2, 3, -2, 2, -4],\n [3, 5, 4, -3, 1],\n [-1, 0, 2, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[4, 1, -2, 1, -2],\n [1, -5, -2, 0, 1],\n [-2, -2, 5, -1, -4],\n [1, 0, -1, -3, 2],\n [-2, 1, -4, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 5, -3, 4, -2],\n [2, -2, 4, 0, 4],\n [2, 1, -2, 1, -4],\n [-1, 2, -3, 2, -2],\n [-3, -5, 2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "784", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -4, 2, -2],\n [2, -1, -2, -3, 2],\n [-4, -2, 0, 0, 4],\n [2, -3, 0, -3, -2],\n [-2, 2, 4, -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": "24373", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 4, -2, 0, -2],\n [4, 2, 0, -3, -4],\n [-2, 0, -4, -2, 4],\n [0, -3, -2, 2, 3],\n [-2, -4, 4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 3, 0, 4],\n [-3, -3, 0, 0, -2],\n [3, 0, -4, 2, 1],\n [0, 0, 2, -3, -2],\n [4, -2, 1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4465", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -2, 2, 3],\n [3, -3, 4, -1, 0],\n [1, -1, 1, -5, 2],\n [2, -5, -4, 0, 2],\n [-2, -1, -4, -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": "384", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[4, -2, 2, 2, 2],\n [-2, 0, -4, 0, 2],\n [2, -4, 5, 2, 1],\n [2, 0, 2, 0, 1],\n [2, 2, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[5, 0, 0, -2, 0],\n [0, 3, 2, 0, 0],\n [0, 2, -1, 1, 2],\n [-2, 0, 1, 3, 0],\n [0, 0, 2, 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": "5634", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (5, 3) of the result:\nA =\n[[0, -3, -4, 4, -1],\n [-3, 1, 0, 0, -1],\n [-4, 0, 5, 5, 3],\n [4, 0, 5, 3, 2],\n [-1, -1, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2349", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 2, 3, -1],\n [0, 0, -2, -1, -4],\n [0, 0, -1, 5, 3],\n [0, 0, 0, -4, 1],\n [0, 0, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, -5, -1, 0, -2],\n [3, 5, 5, 4, -2],\n [1, 5, 2, 4, -3],\n [-3, 0, 2, -4, 2],\n [-5, 2, -2, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "480", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -2, -4, -4],\n [0, 2, 4, -5, 5],\n [0, 0, 1, 1, 3],\n [0, 0, 0, 3, -3],\n [0, 0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -2, 0, 4, -1],\n [-5, 4, -4, -2, -4],\n [3, 0, 4, -3, -5],\n [-5, -3, -1, 4, -1],\n [4, 2, -5, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18655", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[5, 1, 0, -2, -2],\n [1, -3, -2, 0, -1],\n [0, -2, -2, 2, 0],\n [-2, 0, 2, -4, 4],\n [-2, -1, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 2, -2, 0, 2],\n [2, 4, -5, 4, 0],\n [-2, -5, 2, 0, -4],\n [0, 4, 0, -4, -2],\n [2, 0, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4286", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, -5, 0, 0, 3],\n [0, -2, 2, 3, 3],\n [0, 0, -3, 5, -4],\n [0, 0, 0, -4, 1],\n [0, 0, 0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 3, -1, -1, -3],\n [0, 2, 2, -5, 2],\n [2, 5, -1, 3, 2],\n [-5, -4, -3, -1, -1],\n [3, 5, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -3, 2],\n [0, 5, -1, 1, 4],\n [0, 0, -2, 0, 4],\n [0, 0, 0, 3, 5],\n [0, 0, 0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 4, 2],\n [0, -1, 0, -2, 0],\n [-2, 0, -3, -4, 2],\n [4, -2, -4, -4, -2],\n [2, 0, 2, -2, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1064", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, -1, 3, 1, -4],\n [0, -3, 1, 5, -5],\n [0, 0, 3, -3, 0],\n [0, 0, 0, -5, -4],\n [0, 0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-5, 4, -3, 1, 2],\n [3, -4, 3, 2, -4],\n [1, 1, 2, 1, 3],\n [-5, -4, 5, -5, 2],\n [2, 4, 3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -3, 5, -3],\n [0, -5, 0, -1, 3],\n [0, 0, -1, -1, 3],\n [0, 0, 0, -1, 4],\n [0, 0, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "428", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, -3, 5, 3],\n [0, -1, -4, -3, 4],\n [0, 0, 1, 1, 4],\n [0, 0, 0, 0, 3],\n [0, 0, 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": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (5, 4) of the result:\nA =\n[[-5, 2, 4, 4, -2],\n [0, 0, 4, 0, 4],\n [0, 0, 0, -2, -3],\n [0, 0, 0, -5, 4],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -1, 0, 4],\n [-4, 4, -4, -3, 2],\n [-2, -4, -5, 2, 0],\n [3, 1, -5, -4, 5],\n [-5, 4, 1, 5, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9272", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -4, 0, -2],\n [0, -1, 2, -3, -4],\n [0, 0, -3, 5, 2],\n [0, 0, 0, -2, 5],\n [0, 0, 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": "1078", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 2th power of the matrix:\n[[3, -3, -5, 5, -1],\n [0, 1, -4, -4, -4],\n [0, 0, 3, -5, 1],\n [0, 0, 0, 3, -5],\n [0, 0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, -4, -5, 4],\n [-4, 2, 2, -5, -5],\n [-3, -3, 5, -1, 5],\n [-1, 0, 1, 1, 1],\n [4, -2, 3, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -4, -4, 1],\n [0, 4, -3, 5, 5],\n [0, 0, 4, 1, -1],\n [0, 0, 0, 3, 5],\n [0, 0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1005", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the 4th power of the matrix:\n[[3, 3, -1, 3, 1],\n [0, 2, -1, -1, 3],\n [0, 0, -5, 5, -3],\n [0, 0, 0, 4, 2],\n [0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, 0, 0, 1, 4],\n [0, 4, 2, 1, 0],\n [0, 2, 1, 3, -1],\n [1, 1, 3, 1, 0],\n [4, 0, -1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4445", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 0, 4, 2],\n [3, -1, 0, 3, -2],\n [0, 0, 4, 0, -2],\n [4, 3, 0, 1, -2],\n [2, -2, -2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "539", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -5, 4, 3, -2],\n [-3, 3, 0, 1, -4],\n [0, -1, 3, -5, -3],\n [0, -4, 0, -3, 2],\n [-5, -3, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7723", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, 2, 1, 4],\n [-2, 3, -2, -4, -2],\n [2, -2, 2, -2, 1],\n [1, -4, -2, -3, -2],\n [4, -2, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -5, -1, 2, -5],\n [3, -3, -4, 2, 1],\n [2, 5, -3, -3, -1],\n [1, -5, -1, 3, -5],\n [-3, -4, -3, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "496", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -5, -5, -1, -2],\n [0, -2, 5, 0, 3],\n [0, 0, 5, 4, 0],\n [0, 0, 0, 5, 2],\n [0, 0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -4, 0],\n [2, 4, 0, 0, -1],\n [2, 0, 1, -5, 2],\n [-4, 0, -5, -3, 0],\n [0, -1, 2, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (5, 3) of the result:\nA =\n[[-3, 1, 3, 0, -2],\n [0, -4, 2, -2, -2],\n [0, 0, -3, -1, 2],\n [0, 0, 0, 1, -1],\n [0, 0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 2, 2, 2],\n [-2, 1, 2, 0, 0],\n [2, 2, -3, 0, -1],\n [2, 0, 0, -4, -3],\n [2, 0, -1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1752", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 1, -3, 5, 1],\n [0, 5, 2, -2, -1],\n [2, -3, 0, -2, 3],\n [4, 3, 4, -3, -4],\n [2, 4, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 0, 0, -4],\n [2, 0, -2, 2, -1],\n [0, -2, -4, 2, 3],\n [0, 2, 2, -5, 1],\n [-4, -1, 3, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[4, -4, 1, 4, 1],\n [2, 4, -1, 4, -5],\n [-2, -3, 4, 2, -5],\n [0, 0, 3, 2, 5],\n [4, 0, -1, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[5, 2, 2, 0, 2],\n [2, 4, -3, -2, 3],\n [2, -3, -3, 4, 2],\n [0, -2, 4, -4, 2],\n [2, 3, 2, 2, -2]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "898", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -3, 3, -3],\n [0, -1, -2, 0, 0],\n [-3, -2, 2, -1, 2],\n [3, 0, -1, 0, 0],\n [-3, 0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8773", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -1, 2, -5, -2],\n [0, 4, 0, -4, 4],\n [-3, -1, 3, -1, -3],\n [-5, 2, 1, 2, 2],\n [-4, 3, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 4, 0, -4],\n [0, -2, 4, -1, 2],\n [0, 0, 4, 2, 4],\n [0, 0, 0, -4, -4],\n [0, 0, 0, 0, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5079", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-4, 2, -4, -4, -4],\n [0, -5, -2, 3, 2],\n [0, 0, 5, -1, -4],\n [0, 0, 0, 4, 0],\n [0, 0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, -5, 5, 1],\n [0, 0, -4, 3, 1],\n [0, 0, 0, 2, 3],\n [0, 0, 0, 5, 4],\n [0, 0, 0, 0, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, -5, -1, -5],\n [-1, 2, 5, 1, 4],\n [2, -3, 2, -3, 2],\n [-1, 1, 4, 4, -4],\n [-3, -4, 5, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2567", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, -3, -3, -4],\n [1, 5, 1, -4, -1],\n [5, -2, 4, -2, 4],\n [1, 1, 5, 5, -4],\n [-5, -4, 0, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, 4, 1, 5],\n [0, -4, 5, 5, -3],\n [0, 0, 4, 5, 5],\n [0, 0, 0, 0, 4],\n [0, 0, 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": "9181", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1, 4, -3],\n [0, 5, -1, -4, 4],\n [0, 0, -2, 1, 5],\n [0, 0, 0, 5, 5],\n [0, 0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1088", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[5, -1, 0, -4, -2],\n [-1, -1, 0, 2, 0],\n [0, 0, 4, -4, 1],\n [-4, 2, -4, -1, -2],\n [-2, 0, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2471", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-5, 5, 0, 1, -5],\n [0, 2, -2, 1, -3],\n [0, 0, 4, 5, -4],\n [0, 0, 0, 2, 1],\n [0, 0, 0, 0, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 2, 0, -2, -2],\n [2, 2, -4, 1, 4],\n [0, -4, 0, -2, 0],\n [-2, 1, -2, 4, 0],\n [-2, 4, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 5, 0, 4],\n [4, -3, -1, -3, 3],\n [4, -3, 0, -4, -3],\n [-2, -4, -3, 1, 2],\n [1, -1, 5, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[2, 0, -2, -1, 0],\n [0, 4, 1, 2, -3],\n [-2, 1, 2, -2, 2],\n [-1, 2, -2, 1, 2],\n [0, -3, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, -1, 0, 0, 4],\n [-1, -4, -2, -1, 0],\n [0, -2, -5, -1, -3],\n [0, -1, -1, -3, -3],\n [4, 0, -3, -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": "3751", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -2, 0, -2],\n [0, -5, 2, -2, -4],\n [-2, 2, 4, -2, 0],\n [0, -2, -2, 0, 0],\n [-2, -4, 0, 0, -3]], determine the value at position (3, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, -5, -5, -3],\n [0, -5, 1, 1, 1],\n [0, 0, 4, -4, -2],\n [0, 0, 0, -2, 2],\n [0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3047", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, -3, -3, -5],\n [4, -2, 5, 5, -3],\n [3, 0, 5, 5, 2],\n [0, -1, 2, -2, 0],\n [0, 3, -5, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "884", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 0, 0, 2],\n [4, 1, 2, 2, 1],\n [0, 2, -1, 4, -2],\n [0, 2, 4, -5, 1],\n [2, 1, -2, 1, -2]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "295", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 1, 1, 1, 4],\n [-3, -3, -2, 2, -5],\n [0, 2, 1, -3, -2],\n [1, 3, -5, -3, 5],\n [-1, -2, -3, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1312", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-3, 2, 4, 1, -3],\n [3, 4, 1, -2, -1],\n [-2, -5, 1, -1, 1],\n [2, -2, -4, 2, 3],\n [3, 1, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, -2, -4],\n [0, -1, 0, 0, 0],\n [0, 0, 2, 0, -3],\n [-2, 0, 0, 2, 1],\n [-4, 0, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6293", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, -2, 2, -2, 0],\n [-2, -2, 2, -1, 2],\n [2, 2, -5, -3, 2],\n [-2, -1, -3, -2, -2],\n [0, 2, 2, -2, 5]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, 2, 0, 0],\n [0, 5, -4, -2, 2],\n [2, -4, 4, -3, 4],\n [0, -2, -3, -5, 1],\n [0, 2, 4, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -4, -3, 1, 1],\n [-4, -1, 0, 1, 0],\n [-3, 0, 0, 2, 2],\n [1, 1, 2, 2, 0],\n [1, 0, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 2th power of the matrix:\n[[-4, -4, 2, -3, 5],\n [-4, -5, -4, 0, 0],\n [2, -4, 1, 1, -4],\n [-3, 0, 1, -3, -1],\n [5, 0, -4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, -3, 4, -2],\n [1, 0, 2, -4, -1],\n [-4, -1, 1, 4, -4],\n [-2, 5, 4, -4, 2],\n [-5, 5, -3, -5, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "474", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, -4, -3, 2],\n [0, 2, -5, -2, 0],\n [0, 0, 3, -3, -5],\n [0, 0, 0, -5, 2],\n [0, 0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -1, 2, 4, -1],\n [3, -5, 3, 3, -3],\n [4, 0, -4, -4, 3],\n [4, -3, -2, -3, -3],\n [-5, 2, 5, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42230", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 5, -2, -5, -2],\n [-3, 4, -5, -5, 1],\n [-3, 0, 0, -3, -5],\n [-4, 2, -3, -3, 2],\n [3, 4, -5, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -3, -2, 3, 3],\n [0, 1, -5, -5, 0],\n [0, 0, -2, -2, 4],\n [0, 0, 0, -2, -3],\n [0, 0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 4, 5, 4, 5],\n [-3, 3, 5, 3, -5],\n [-3, -5, -1, 3, -1],\n [-5, -1, -5, 4, -3],\n [0, 1, 5, 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": "730", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, -4, 5, 0],\n [-2, 3, 0, -5, -5],\n [0, -1, 4, 4, 5],\n [-5, -4, -3, -5, 0],\n [-5, 1, -3, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3233", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, -5, 3, -3, -5],\n [0, 3, -2, -5, -1],\n [0, 0, 4, 4, 4],\n [0, 0, 0, -1, 0],\n [0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, 4, 0, 2],\n [-2, 4, -4, 4, -2],\n [4, -4, -4, -2, 4],\n [0, 4, -2, 3, 2],\n [2, -2, 4, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66758", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -3, -4, 2, 1],\n [0, 2, -4, 5, 0],\n [0, 0, -3, 0, -3],\n [0, 0, 0, -5, -2],\n [0, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, 0, 0, -5, 2],\n [-4, 4, 1, -5, 1],\n [-1, 3, 4, 5, -3],\n [1, 5, 4, 5, 1],\n [1, 3, -5, -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": "652", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -4, 2, 4, -4],\n [-4, -2, 0, -4, 3],\n [2, 0, 2, 0, 4],\n [4, -4, 0, 3, 3],\n [-4, 3, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 5, -1, -4, 2],\n [-2, 4, -4, -5, -2],\n [-2, 0, -2, -5, -1],\n [-3, 2, -3, 0, -4],\n [4, 2, -1, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11014", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[4, 4, 4, -5, -4],\n [-5, 1, -3, 5, -3],\n [-3, 4, -4, -4, -4],\n [1, -1, 4, -2, -1],\n [0, 1, 4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 2, 2, 0, 2],\n [2, 4, -4, 0, 0],\n [2, -4, -4, 2, 1],\n [0, 0, 2, 1, 5],\n [2, 0, 1, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 1, -1, -1, -2],\n [3, 2, 3, -4, -2],\n [0, 3, -3, 4, 1],\n [2, -2, 0, -5, 5],\n [3, -4, 5, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4858", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[5, 4, -3, 2, -2],\n [4, 4, 2, 2, -2],\n [-3, 2, 3, 0, -4],\n [2, 2, 0, -3, -2],\n [-2, -2, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 4, 0, 0],\n [-1, 1, 2, 2, 0],\n [4, 2, 4, -1, -4],\n [0, 2, -1, 0, 1],\n [0, 0, -4, 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": "3000", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -4, 0, 4, 2],\n [-4, 2, -4, 0, 2],\n [0, -4, 4, 3, -1],\n [4, 0, 3, -2, -2],\n [2, 2, -1, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 2, -1, 2, 2],\n [2, 4, -2, -3, 0],\n [-1, -2, -5, 2, 2],\n [2, -3, 2, -3, -4],\n [2, 0, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3759", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -4, 2, 0],\n [-2, -5, 2, 1, 0],\n [-4, 2, 4, -2, 0],\n [2, 1, -2, -1, -1],\n [0, 0, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) of the matrix A^2 where A is:\n[[5, 2, 2, 1, 3],\n [2, 3, -3, 0, 1],\n [2, -3, -4, 2, 4],\n [1, 0, 2, 5, -3],\n [3, 1, 4, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, -2, 0, 0],\n [-2, -1, 2, -2, 1],\n [-2, 2, 0, -4, -2],\n [0, -2, -4, 2, -3],\n [0, 1, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1702", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 2, 5, -5],\n [-2, -5, 5, 0, 1],\n [-5, 2, -2, 3, 4],\n [-4, 5, 0, 1, -1],\n [0, 2, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-515", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, 0, 0, 5],\n [3, 3, -4, 5, 2],\n [5, 2, -1, 5, 1],\n [4, 5, 5, 5, 5],\n [-2, -2, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16814", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, -4, -5, 5, -2],\n [-5, -2, 4, 4, -2],\n [2, 3, 0, 5, -1],\n [5, 5, 0, 3, -4],\n [-2, -5, 0, 3, 2]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[3, -4, 0, -5, 0],\n [-2, 4, 5, 5, 3],\n [5, 1, 3, -4, 1],\n [-1, -4, 4, -4, 4],\n [1, 5, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -4, -2, 1],\n [-1, 4, -2, 3, 4],\n [4, -4, 1, -1, -4],\n [5, 3, 0, -4, -1],\n [-1, 2, -5, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-5, -5, -4, 0, 5],\n [3, 5, -3, -1, 0],\n [-3, -2, 1, 5, 3],\n [-1, 5, 0, 1, 2],\n [1, 2, -5, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1, -2, 0],\n [0, 5, -2, 3, -4],\n [1, -2, 0, 0, 0],\n [-2, 3, 0, 4, -1],\n [0, -4, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -5, 3, -2, 0],\n [0, 3, 1, 2, -5],\n [5, -2, -1, 4, -1],\n [-4, 0, 3, 4, -2],\n [2, 0, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3005", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 0, -1, 1, -4],\n [0, -2, 0, -1, -2],\n [-1, 0, 2, 2, -4],\n [1, -1, 2, 4, 2],\n [-4, -2, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[5, 3, 1, 2, 2],\n [3, -4, -2, -2, 4],\n [1, -2, -4, 0, 1],\n [2, -2, 0, 1, 2],\n [2, 4, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 3, 1, -2, -2],\n [-5, -2, -3, -1, -3],\n [3, 0, 4, 0, 5],\n [1, -5, 0, 3, -3],\n [0, -2, 5, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16372", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -1, 4, 3],\n [-3, 1, 0, 3, 4],\n [-4, 4, -4, -5, 3],\n [1, 1, -3, 2, 0],\n [4, 2, -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": "411", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[0, -2, -1, 0, 2],\n [-2, 4, -2, 4, -2],\n [-1, -2, -5, 4, -2],\n [0, 4, 4, 4, 2],\n [2, -2, -2, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1596", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 5, -5, 4, 4],\n [5, -1, -2, 5, 0],\n [-1, -5, -1, -5, -1],\n [-3, 1, 2, -5, 0],\n [5, 5, 1, -1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 3, -5, -4],\n [2, 3, 5, -1, -4],\n [-5, 1, 2, 5, 4],\n [5, 0, -4, 2, -3],\n [4, -5, 4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "632", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -5, 4, 2, 5],\n [-5, 1, -3, -4, 0],\n [3, 1, -5, -2, -3],\n [4, 2, -1, 5, -5],\n [0, -5, -2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-313", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, 3, -1, -2, 5],\n [4, 4, 1, -1, 1],\n [-2, -2, -3, -4, 4],\n [3, -3, 2, -3, 1],\n [-2, 0, 0, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[3, 0, -1, -3, -2],\n [0, 1, -1, -1, 1],\n [-1, -1, 4, 1, -2],\n [-3, -1, 1, -5, 0],\n [-2, 1, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the 3th power of the matrix:\n[[-2, 0, -1, 0, 0],\n [0, 4, 0, -4, -4],\n [-1, 0, 2, 0, 2],\n [0, -4, 0, -3, -4],\n [0, -4, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -4, 4, -3, -3],\n [0, -3, 0, 4, -2],\n [2, -3, 2, 5, 4],\n [2, 4, 5, -4, 0],\n [4, 3, 0, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5056", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 3, 4, -1],\n [0, -1, 5, -4, 5],\n [2, -5, 2, 0, -5],\n [-3, -4, 0, 5, 5],\n [-2, -4, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3558", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (5, 2) of the result:\nA =\n[[-5, 4, 0, -3, 0],\n [4, -2, -2, 2, -2],\n [0, -2, 1, 2, -3],\n [-3, 2, 2, 2, 2],\n [0, -2, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "742", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -4, -2, -4, -5],\n [2, -5, -4, 1, 0],\n [5, 2, 3, -1, -4],\n [-5, -4, -4, -2, 5],\n [-5, -1, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2633", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, 4, 0, 0],\n [-1, 4, -2, -4, 1],\n [4, -2, -5, -4, 1],\n [0, -4, -4, 4, 2],\n [0, 1, 1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34061", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -1, 1, 2],\n [1, 3, -3, 4, 4],\n [3, -5, -2, 3, 1],\n [0, -1, 5, -1, 4],\n [-4, -1, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2003", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-4, 0, 5, -1, 0],\n [1, 3, -1, -5, -1],\n [-1, 3, 4, -5, -5],\n [-2, 2, 1, 5, -1],\n [-5, -4, 5, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, 3, 1, -2],\n [5, -2, 4, -2, -4],\n [-5, 3, 4, -3, 0],\n [1, 4, 5, -4, 0],\n [-1, -5, 4, -3, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1295", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-4, 3, -2, 4, 0],\n [-1, 1, -4, 2, -1],\n [5, 5, 4, -5, -4],\n [-4, 2, -1, 2, -5],\n [-3, 2, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[4, 0, -1, 5, -3],\n [-3, -4, -4, -2, -3],\n [2, 0, 3, 3, 3],\n [-3, 0, 4, 4, 2],\n [-2, -3, -3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -3, -4, -2, -1],\n [-3, 3, -2, 0, -2],\n [-4, -2, -4, -2, -3],\n [-2, 0, -2, -2, 4],\n [-1, -2, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34769", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 1, 2, 0],\n [0, 4, -2, -2, -2],\n [1, -2, -2, 0, 0],\n [2, -2, 0, -1, -1],\n [0, -2, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, 0, 0, -1],\n [2, 4, -2, 0, -3],\n [0, -2, 0, 0, 0],\n [0, 0, 0, -2, -1],\n [-1, -3, 0, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-5, -5, -5, -4, 2],\n [-3, -1, -5, 4, -5],\n [3, -1, 2, 2, 2],\n [1, 2, -1, -4, -2],\n [1, -4, -1, 5, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, 5, 0, 0],\n [-3, 4, -5, -1, -5],\n [2, -3, -1, 2, 0],\n [-5, 2, 1, 2, 5],\n [2, 3, 4, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5247", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, -2, 0, 0],\n [1, -4, -4, -4, 0],\n [-2, -4, 2, 0, 2],\n [0, -4, 0, -5, 0],\n [0, 0, 2, 0, 5]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, -4, 0, 0, 0],\n [-4, -3, -2, 2, -4],\n [0, -2, 2, 4, -2],\n [0, 2, 4, -3, 0],\n [0, -4, -2, 0, 5]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1096", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0, 2],\n [0, -4, 0, -2, -2],\n [0, 0, -3, 2, -2],\n [0, -2, 2, 4, -3],\n [2, -2, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6954", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 0, 2, 5],\n [4, 1, 0, -3, -2],\n [-2, 1, 3, 2, 5],\n [5, -4, 4, 0, 4],\n [2, 3, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2169", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the 4th power of the matrix:\n[[0, 3, 2, 5, -4],\n [2, 2, -1, -4, 2],\n [1, -2, 1, 0, -4],\n [1, 0, 4, 0, -1],\n [-4, -4, 3, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 3, -2, -5, -4],\n [3, 2, 3, -4, 0],\n [2, 2, 0, -1, 0],\n [3, 4, 2, -3, -2],\n [4, 0, 3, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1979", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 1, 0, 0],\n [-3, 4, 0, 0, 0],\n [1, 0, -5, 0, 0],\n [0, 0, 0, 1, 0],\n [0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 1) of the result:\nA =\n[[-3, -2, 0, -1, -2],\n [4, 3, 3, 1, 0],\n [1, 5, 5, 3, -5],\n [-4, -5, 2, -1, -1],\n [-3, 5, 2, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -1, -2, 5],\n [4, -2, 4, 1, -1],\n [-3, 2, -5, -3, 5],\n [3, 4, 0, 2, 1],\n [0, 0, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12768", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[5, 1, 3, 3, 1],\n [0, -1, 3, 4, -5],\n [1, 4, -4, 0, 3],\n [-4, -2, 5, -1, -3],\n [1, 4, -5, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-970", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -5, 3, -3, -5],\n [-2, 3, 4, 2, -1],\n [2, 3, 1, -1, -2],\n [3, -3, 0, -3, 2],\n [4, -4, -4, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1095", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 2, 1, 0],\n [0, -3, -4, -2, 0],\n [2, -4, 0, 2, -2],\n [1, -2, 2, 3, -1],\n [0, 0, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[5, 1, 5, -4, -4],\n [-4, -2, 5, -5, 2],\n [2, 1, 4, 3, -1],\n [3, 2, 1, 0, -4],\n [-4, 0, -3, 5, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 2, 2, 4, 0],\n [2, 1, 0, 0, 4],\n [2, 0, 2, 0, 1],\n [4, 0, 0, 1, 2],\n [0, 4, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 0, -4, 4],\n [-3, 0, -3, -2, -3],\n [-1, -4, 2, 1, -4],\n [2, 0, -2, 2, -3],\n [5, -1, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "689", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -3, 3, 5],\n [0, 0, 1, 1, -3],\n [-1, -2, 5, 4, -4],\n [-5, 3, -1, 1, 3],\n [3, -4, 1, 0, 2]], determine the value at position (3, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[3, 0, 2, 4, 4],\n [0, -3, 0, 0, 0],\n [2, 0, 1, 1, -2],\n [4, 0, 1, 1, 0],\n [4, 0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "263", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-5, 2, 2, -2, -3],\n [2, 3, 1, 2, -2],\n [2, 1, -4, 0, 0],\n [-2, 2, 0, -4, -2],\n [-3, -2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1126", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, -1, -1],\n [-2, 0, 0, 3, 2],\n [0, 0, 5, 4, 2],\n [-1, 3, 4, -2, -1],\n [-1, 2, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1333", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -5, 0, 1, -2],\n [-5, -2, 4, -2, 3],\n [-1, 1, -5, 0, 1],\n [3, -4, 1, 0, 0],\n [3, 5, -5, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, -2, -5, 2],\n [2, 4, 0, 1, 2],\n [-2, 0, -4, 0, 4],\n [-5, 1, 0, -3, 0],\n [2, 2, 4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^2 where A is:\n[[-5, -1, -3, 0, -3],\n [-5, 2, 2, 4, 1],\n [0, 2, -5, -4, -2],\n [-3, -5, 5, 5, -3],\n [-1, 1, 3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-3, 2, 3, 2, -4],\n [2, -2, 4, 2, -1],\n [3, 4, 0, 1, 5],\n [2, 2, 1, -4, 2],\n [-4, -1, 5, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[4, 0, 4, -1, 1],\n [0, -3, 0, 1, 0],\n [4, 0, 4, 2, -2],\n [-1, 1, 2, 0, -4],\n [1, 0, -2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 5) of the result:\nA =\n[[-2, -3, 2, 1, 0],\n [-3, -1, 3, -2, 1],\n [2, 3, -2, 1, 1],\n [1, -2, 1, 4, -2],\n [0, 1, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, 0, -3, -2],\n [-4, 2, 1, 0, -2],\n [0, 1, 1, 0, 2],\n [-3, 0, 0, -2, 0],\n [-2, -2, 2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1259", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, 4, -5, 4, 2],\n [1, -2, 0, 4, 1],\n [-5, 2, 4, -5, -4],\n [0, 0, 5, -1, 0],\n [-3, -3, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -1, 0, -2, 2],\n [-1, 5, 0, -4, -4],\n [0, 0, -5, 2, 0],\n [-2, -4, 2, -5, 2],\n [2, -4, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2351", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, 4, -1],\n [4, -1, 3, -3, 3],\n [3, 5, 2, -3, -2],\n [4, -1, 0, -5, -1],\n [0, 0, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 3, -2, -4],\n [1, 5, -2, -4, 5],\n [-1, 3, 1, 3, 2],\n [2, -2, 0, 3, -4],\n [-5, 1, 5, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3472", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 1, 5, 0],\n [4, -4, -4, -2, 5],\n [2, -1, 0, -2, 2],\n [3, 1, 5, -4, -3],\n [-2, -3, 2, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-4, 2, 2, -3, -2],\n [2, 5, 0, 0, 0],\n [2, 0, -5, 0, 0],\n [-3, 0, 0, 0, -5],\n [-2, 0, 0, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1233", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, -5, -4],\n [2, 5, -1, -1, 3],\n [1, 5, -3, 3, -5],\n [4, 3, 4, -4, 2],\n [-3, -3, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 0, -2, 0, -2],\n [0, -1, -5, 2, -1],\n [-2, -5, 2, 3, -2],\n [0, 2, 3, -5, 2],\n [-2, -1, -2, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5842", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -4, -1, 2, -2],\n [-4, -2, -4, -2, -2],\n [-1, -4, -3, -2, -2],\n [2, -2, -2, 1, -2],\n [-2, -2, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "383", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, 3, -5, -4, -1],\n [0, 5, 1, -1, 4],\n [-5, 2, 1, 3, -5],\n [0, 3, -2, -3, 2],\n [4, 3, -1, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1079", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 5, -5, 1],\n [5, -1, 2, 0, 0],\n [2, -3, 3, -5, 4],\n [-2, 1, -4, 2, -4],\n [-5, 4, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 0, 0, 2, -4],\n [4, 2, 2, 2, 0],\n [2, 3, -4, 4, 3],\n [5, 3, -2, 3, -2],\n [3, 3, 5, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 3, 0, 2],\n [2, 3, 2, -1, 1],\n [3, 2, -2, 3, 0],\n [0, -1, 3, -5, -3],\n [2, 1, 0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2472", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, -2, 0, 5, 2],\n [-2, -1, -2, 2, -5],\n [0, -2, 5, -1, 0],\n [5, 2, -1, 1, -4],\n [2, -5, 0, -4, -5]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, 0, -2, -2, 3],\n [0, -1, -3, 2, -4],\n [-2, -3, 1, 2, 4],\n [-2, 2, 2, -1, -2],\n [3, -4, 4, -2, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "851", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-4, 0, 1, -4, 0],\n [0, 0, 0, -3, 0],\n [1, 0, -2, 5, 0],\n [-4, -3, 5, -5, 0],\n [0, 0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, 0, 0, 2, 2],\n [0, -5, 0, 0, -2],\n [0, 0, 3, -2, -4],\n [2, 0, -2, 3, -4],\n [2, -2, -4, -4, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, -2, -3, -2],\n [-2, -4, 4, 2, 2],\n [-2, 4, -5, 4, -2],\n [-3, 2, 4, 2, -2],\n [-2, 2, -2, -2, 0]], determine the value at position (5, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[5, 0, -1, 0, 1],\n [0, -2, -1, -1, -3],\n [-1, -1, 1, 4, -2],\n [0, -1, 4, -2, 3],\n [1, -3, -2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) of the matrix A^2 where A is:\n[[1, -1, -2, -4, 4],\n [-1, -2, 0, 0, -4],\n [-2, 0, 1, 0, 2],\n [-4, 0, 0, 1, 2],\n [4, -4, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the 4th power of the matrix:\n[[5, -2, 2, -3, 2],\n [-2, 4, 0, 1, -2],\n [2, 0, 3, 0, 2],\n [-3, 1, 0, 0, 0],\n [2, -2, 2, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3410", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, 0, -1, 2],\n [-3, 1, -5, 5, 5],\n [-4, -4, -1, 3, -1],\n [2, 1, -5, 3, 3],\n [5, 2, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 1, -4, 0, 0],\n [1, -3, -2, -3, -3],\n [-4, -2, -1, 0, -2],\n [0, -3, 0, 2, -2],\n [0, -3, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, 1, 0, 2, -4],\n [1, 5, -2, 2, 2],\n [0, -2, -3, 2, 3],\n [2, 2, 2, 5, -4],\n [-4, 2, 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": "491", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, -2, 5, 1],\n [0, 0, -4, -2, 5],\n [1, 4, -4, 0, 4],\n [-2, -2, 5, 3, -3],\n [-4, -3, -3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28943", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-4, 2, -2, -2, -2],\n [2, 5, 2, 1, -1],\n [-2, 2, 5, -2, -2],\n [-2, 1, -2, 5, 3],\n [-2, -1, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -5, -2, -4, 2],\n [-5, -2, 0, 0, -1],\n [-2, 0, 2, 0, 0],\n [-4, 0, 0, -5, 4],\n [2, -1, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, -2, -1, -2],\n [-2, -5, -2, -2, -3],\n [-2, -2, 3, -1, -1],\n [-1, -2, -1, 3, 2],\n [-2, -3, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1336", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1, 2, 0],\n [1, -4, 0, -2, -2],\n [-1, 0, -1, 2, -1],\n [2, -2, 2, -1, 1],\n [0, -2, -1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, -2, -1, 5],\n [5, -3, -3, 4, 1],\n [5, -1, 4, -3, 2],\n [-3, -5, -3, -3, -1],\n [0, 0, -1, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10124", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the 3th power of the matrix:\n[[-4, 1, 2, 2, -3],\n [1, 3, -3, 1, 2],\n [2, -3, -1, 3, -1],\n [2, 1, 3, 2, -2],\n [-3, 2, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 3, 2, -2],\n [-2, -5, 4, -1, 0],\n [3, 4, -3, -2, -1],\n [2, -1, -2, 4, -1],\n [-2, 0, -1, -1, 4]], determine the value at position (5, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-514", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, 3, -2],\n [0, -4, -3, -1, -3],\n [-2, -3, -2, 2, -3],\n [3, -1, 2, 1, -4],\n [-2, -3, -3, -4, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4612", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -5, -5, 5, -2],\n [0, -1, -3, -1, -1],\n [-1, 5, -2, -2, 4],\n [-2, 3, -1, 1, -2],\n [2, 0, -5, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, -2, -2, 5],\n [-3, 0, -3, -4, 4],\n [1, -5, -1, 5, 1],\n [2, 1, 5, -3, 3],\n [-4, 1, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4573", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 4, -1, 2, 1],\n [4, 2, 5, -2, 3],\n [-5, -2, 5, 3, -1],\n [-2, 5, 5, 2, -4],\n [-5, 2, 2, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[5, 1, -2, -3, 0],\n [1, -4, 2, 3, 1],\n [-2, 2, 3, 2, -3],\n [-3, 3, 2, 1, -1],\n [0, 1, -3, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[5, 5, -3, 0, -2],\n [2, -3, 5, 3, 5],\n [4, -4, -1, -5, 4],\n [3, 1, -4, -1, 4],\n [-3, 1, -5, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 4, 2, -1],\n [2, 5, 2, 2, 0],\n [4, 2, 4, 0, -1],\n [2, 2, 0, 1, 4],\n [-1, 0, -1, 4, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[1, -5, -5, -1, 5],\n [2, 4, 5, 3, 4],\n [-2, -2, -1, -5, -5],\n [-5, -5, 1, -1, -5],\n [-1, 5, 5, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, -5, -5],\n [0, 0, -2, 2, -5],\n [-1, 1, -1, 4, -2],\n [1, 3, -3, -4, -4],\n [2, -3, 0, -5, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-5, 0, 0, 0, 2],\n [0, 4, 0, 0, 2],\n [0, 0, 2, -2, -4],\n [0, 0, -2, -3, -3],\n [2, 2, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 5, 2, -3, 4],\n [1, 0, 5, 3, 2],\n [-2, 4, -4, 3, -3],\n [5, -1, -4, 3, -3],\n [-1, 2, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21007", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[5, 4, 1, -1, -5],\n [-1, -2, -2, 2, 0],\n [1, 5, -3, 1, -4],\n [1, 4, 2, 5, -2],\n [-2, -4, 5, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "917", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-5, 2, 3, 4, -2],\n [5, -1, 4, -4, 3],\n [-4, 2, -4, -5, 2],\n [3, 1, -1, -5, 0],\n [-1, 2, 3, 5, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, -2, 1, -4],\n [-3, -3, 1, 5, 4],\n [-5, 1, 1, 4, -1],\n [0, -4, 3, 0, -2],\n [1, 1, 2, -4, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, -2, 0, -1],\n [-2, -3, 2, 0, 0],\n [-2, 2, 2, 4, 0],\n [0, 0, 4, 0, 0],\n [-1, 0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4882", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -4, -1, -4],\n [0, -3, -4, 3, 1],\n [-4, -4, 0, 0, -4],\n [-1, 3, 0, -2, 2],\n [-4, 1, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1675", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 4, -4, -1, -4],\n [4, 0, 1, 3, -1],\n [3, 2, -2, 1, 4],\n [-4, 0, -3, 1, -4],\n [-4, 2, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 3, -3, 5],\n [0, -1, 3, 2, -1],\n [-2, -3, -1, 5, 4],\n [3, -4, 5, -1, -4],\n [-1, -4, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1662", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, -4, 0, 4, 0],\n [-4, 4, 4, 4, 1],\n [0, 4, 5, 3, 0],\n [4, 4, 3, 4, 4],\n [0, 1, 0, 4, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, 1, -4, -1],\n [3, 1, 2, -1, 0],\n [1, 2, 3, 4, 1],\n [-4, -1, 4, 1, -2],\n [-1, 0, 1, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -2, -1, 3],\n [-3, -5, 3, 0, 1],\n [-1, -2, -5, 2, -3],\n [2, 0, 5, 2, -2],\n [3, 2, 5, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "497", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -1, -4, 0],\n [-4, 2, 0, 2, -1],\n [-1, 0, 0, 0, 0],\n [-4, 2, 0, 3, -4],\n [0, -1, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3705", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -1, 5, -4],\n [2, 2, 2, -5, 5],\n [-5, -5, -4, -5, -4],\n [2, 5, 2, -1, 1],\n [-4, -4, -2, -3, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, -4, 1, 0],\n [-1, -2, -2, -2, 1],\n [-4, -2, -1, -1, 0],\n [1, -2, -1, -4, 1],\n [0, 1, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 2, 4, 5],\n [5, -1, 4, 2, -1],\n [3, 1, -3, 1, 3],\n [-2, 0, -1, 5, 5],\n [-2, -4, 1, 5, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15163", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 3, -4, -5, 2],\n [-4, -2, -1, -2, 1],\n [-3, 4, -1, -3, 4],\n [-3, -5, 5, 5, -4],\n [-5, 2, -4, -5, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 5, -4, 5, -2],\n [5, 3, -3, -4, -4],\n [-5, 4, 0, -5, -4],\n [4, -5, 3, -3, 3],\n [1, 4, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, -3, -1, -2],\n [0, -5, 0, 4, -2],\n [-3, 0, 0, 1, 2],\n [-1, 4, 1, -3, 0],\n [-2, -2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1009", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[5, 0, 4, 0, 0],\n [-5, 4, 1, 3, 0],\n [-1, 2, -5, -2, -4],\n [0, -1, -5, -3, 5],\n [1, -4, 4, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3332", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -4, -3, 0, 0],\n [-4, -1, -2, -4, 3],\n [-3, -2, -3, -2, -2],\n [0, -4, -2, -1, -2],\n [0, 3, -2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 5, 0, 2],\n [-3, -3, -1, 2, 1],\n [1, 0, -5, 5, -5],\n [5, -3, -3, 1, -1],\n [-1, -5, -1, -5, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -3, -4],\n [0, 0, 0, -2, 1],\n [-2, 0, -3, -2, 4],\n [-3, -2, -2, -2, 4],\n [-4, 1, 4, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-349", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0, -2, 3],\n [-2, -4, 0, 0, 1],\n [0, 0, 3, -5, 2],\n [-2, 0, -5, -1, 2],\n [3, 1, 2, 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": "2477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 0, 0, -3],\n [-4, -4, 1, -4, -4],\n [0, 1, -1, 2, 0],\n [0, -4, 2, -5, 2],\n [-3, -4, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58347", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[5, -5, 1, 1, -3],\n [-2, 2, 3, -4, 5],\n [-1, -5, -5, 4, -2],\n [-4, -5, 0, 3, 3],\n [-5, 4, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-179", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, -1, 5, -1],\n [-4, -5, 5, 0, -5],\n [3, -3, -2, 0, 0],\n [-1, -1, 5, -4, -3],\n [1, -2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, 4, -2, -4, 2],\n [-5, 3, -5, -4, 2],\n [5, -3, -3, 1, 0],\n [-2, 3, 0, 0, 3],\n [-1, -3, -2, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -2, 0, -4],\n [2, 5, 2, 0, -1],\n [-2, 2, 2, 2, 4],\n [0, 0, 2, -1, 2],\n [-4, -1, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "326", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, -2, 4, 0],\n [0, -3, -2, 0, -1],\n [-2, -2, 5, 2, -2],\n [4, 0, 2, -1, 1],\n [0, -1, -2, 1, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "263", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 2, 1, 2],\n [-1, 4, 0, 0, -2],\n [2, 0, 0, 3, 4],\n [1, 0, 3, -1, 0],\n [2, -2, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2011", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 5, 3, 2, -1],\n [1, 4, 3, 0, -1],\n [5, -3, 3, 0, -3],\n [4, -5, -3, -1, -1],\n [-1, -3, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 2th power of the matrix:\n[[5, -2, 4, 0, -4],\n [-2, 1, -3, 3, 0],\n [4, -3, 3, 0, 1],\n [0, 3, 0, 3, 5],\n [-4, 0, 1, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -2, 0, -1, 0],\n [-2, 1, 0, 0, 2],\n [0, 0, -2, 1, 1],\n [-1, 0, 1, 5, 2],\n [0, 2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-5, 0, 0, -4, -3],\n [0, 4, 0, 1, -1],\n [0, 0, 5, 0, 2],\n [-4, 1, 0, 0, 0],\n [-3, -1, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -2, -4, -2, 1],\n [-2, -3, -2, 2, 0],\n [-4, -2, -4, 2, 2],\n [-2, 2, 2, -4, -2],\n [1, 0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "482", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, -2, 5, 4],\n [5, -5, -3, -4, 0],\n [4, 5, 0, 1, 1],\n [3, 4, 3, -4, -2],\n [2, 5, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1020", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[5, 4, 2, 2, 0],\n [4, -1, 0, -2, 2],\n [2, 0, 2, -2, -2],\n [2, -2, -2, 2, -1],\n [0, 2, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 3, -4, 4, 0],\n [-4, -3, -3, 1, -4],\n [-4, 4, 3, 2, -3],\n [3, 2, -5, -3, 5],\n [-4, -1, -5, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "750", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 1, -1, 5],\n [1, -4, -3, -1, 1],\n [3, -5, 0, -3, 0],\n [5, 0, 5, 5, -5],\n [-2, 0, 3, 5, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 4) of the result:\nA =\n[[-4, -3, -5, -5, -2],\n [5, 5, 3, 2, -2],\n [5, -1, 3, 1, -5],\n [1, -4, -3, 4, -3],\n [4, -5, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, 4, -5, -3, 5],\n [3, -1, 0, -5, -4],\n [2, -5, 3, -4, -4],\n [-5, 3, 4, -2, 4],\n [-5, 1, -2, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -3, 3, 5, 3],\n [-5, -5, -1, 1, -1],\n [4, -5, -1, -3, -4],\n [1, 4, -3, 2, -2],\n [-4, -3, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -3, -2, 3, -5],\n [1, 5, -1, -2, -3],\n [-5, 3, 0, 2, -2],\n [2, -4, -5, 0, 2],\n [-4, 3, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-810", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 2, -1, 2],\n [0, -3, -2, 0, -4],\n [2, -2, -5, 0, 2],\n [-1, 0, 0, 3, 1],\n [2, -4, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3724", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 2, -3, 0],\n [1, 1, 2, 3, -4],\n [2, 2, 1, 0, 2],\n [-3, 3, 0, 1, 0],\n [0, -4, 2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1313", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -1, -4, -3, 0],\n [-2, 3, 0, 1, 4],\n [-3, -3, -5, 3, 2],\n [0, 4, -2, 0, -5],\n [-3, -3, 1, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -5, 0, 5, 2],\n [-3, 0, 4, 3, 0],\n [3, 2, -5, 1, 5],\n [-1, -2, 4, -4, 2],\n [1, 4, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3648", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 0, -2, 0],\n [3, -5, 0, -1, 0],\n [0, 0, 0, -3, -1],\n [-2, -1, -3, 1, 4],\n [0, 0, -1, 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": "1612", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, 4, 0],\n [3, -4, 0, 0, -4],\n [-2, 0, -1, -4, -4],\n [4, 0, -4, -3, 2],\n [0, -4, -4, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7043", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 5, -4, 3, 1],\n [1, 4, -4, -1, -5],\n [2, -5, -4, -5, -2],\n [1, 5, -4, -5, -4],\n [-4, 2, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, 1, 2, 2],\n [4, 0, 4, 0, 0],\n [1, 4, 4, 2, 0],\n [2, 0, 2, -5, 0],\n [2, 0, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21394", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[4, -5, -5, 2, 5],\n [-1, 4, 4, 0, 0],\n [-1, 4, 2, 4, 1],\n [-4, 5, -5, 0, -5],\n [0, 3, -2, -2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, -1, -5, -2],\n [4, -1, -1, 3, 4],\n [1, 1, -4, 5, -1],\n [-1, -4, -1, 4, 3],\n [-4, -5, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, -1, -4, 2, 0],\n [-5, 0, -3, -1, 1],\n [-4, -2, 4, 3, 5],\n [-1, -3, 5, -4, 1],\n [3, -4, -5, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 4, -1, -2],\n [4, 1, -1, -2, -4],\n [4, -1, -5, 0, 0],\n [-1, -2, 0, -3, 4],\n [-2, -4, 0, 4, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3522", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[5, 5, -1, 5, 4],\n [-5, 2, -2, 4, 3],\n [5, 0, 5, 4, -5],\n [4, -3, -5, -3, 4],\n [0, -4, -3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5280", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, -1, 4],\n [0, 3, 1, 0, -2],\n [0, 1, 0, 0, 0],\n [-1, 0, 0, 5, 0],\n [4, -2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 2, 0],\n [2, -4, -2, 4, 3],\n [-2, -2, -1, 2, 0],\n [2, 4, 2, 3, 4],\n [0, 3, 0, 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": "2648", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 5) of the result:\nA =\n[[0, 3, -1, -5, 4],\n [-2, -1, -3, -4, 0],\n [0, 4, 3, 2, 3],\n [3, 4, -2, 1, -1],\n [0, 0, 5, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-5, 5, -3, 3, -5],\n [-5, -3, 4, -3, 4],\n [1, -5, 4, -5, 4],\n [3, -4, -3, 4, 5],\n [-2, -4, -1, -2, -5]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, -2, -4, 0, -4],\n [-3, 3, 0, -5, -4],\n [3, -2, -2, -4, 5],\n [-3, -4, -2, -4, -5],\n [1, -2, -2, 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": "489", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[2, 2, -5, 1, -1],\n [-3, -4, -3, 3, 3],\n [-4, -3, -4, -5, -5],\n [1, 0, -4, 3, -2],\n [-4, 4, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -4, 2, -1, -2],\n [-4, 3, 0, 0, 0],\n [2, 0, 0, -3, 0],\n [-1, 0, -3, -1, 4],\n [-2, 0, 0, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[3, 5, -3, -1, 0],\n [4, -3, -5, -5, 4],\n [2, 5, -1, 3, 4],\n [-5, 4, -3, -4, -5],\n [-1, 4, 0, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, 4, -3, -1],\n [3, 5, 2, 2, -2],\n [4, 2, -5, -2, -4],\n [-3, 2, -2, -1, 2],\n [-1, -2, -4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4607", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, -2, -4, 0],\n [2, -4, -1, -2, -2],\n [-2, -1, 1, -2, -1],\n [-4, -2, -2, -3, 2],\n [0, -2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8111", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, 5, -2, -3],\n [3, -1, -2, -2, -5],\n [4, 3, -1, -1, -2],\n [-1, 4, -1, 3, -2],\n [-3, -2, 3, 4, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, 1, 1, 3],\n [-2, -1, 4, -5, 2],\n [1, 4, -4, 0, 1],\n [1, -5, 0, 5, 3],\n [3, 2, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -5, -1, -2, 3],\n [-5, -5, -5, -2, 1],\n [3, -1, -2, -1, 5],\n [-3, -3, 3, 0, 0],\n [-3, 2, 3, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1398", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 1, 2, 2],\n [0, 1, -1, -2, 3],\n [1, -1, 1, 0, -2],\n [2, -2, 0, -5, -3],\n [2, 3, -2, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 5, -5, 1],\n [-5, 3, -2, 1, 4],\n [2, 0, 0, -4, 0],\n [2, 0, 4, 1, 3],\n [-2, 3, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12025", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, -3, 3, -5],\n [-4, 1, -4, 1, 1],\n [-5, 0, -1, 5, 3],\n [-5, -1, -3, -5, 3],\n [2, -1, -3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1470", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[2, 0, -2, 2, 2],\n [0, -1, -1, 3, 0],\n [-2, -1, -1, -1, 0],\n [2, 3, -1, -2, -2],\n [2, 0, 0, -2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-264", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -4, -1, -5, -5],\n [5, -3, 1, 3, 0],\n [0, -3, 2, -4, 1],\n [2, 5, -2, -2, -5],\n [-3, -4, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26263", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 2, -2, 1],\n [0, 1, 4, 0, -4],\n [2, 4, -4, 0, 2],\n [-2, 0, 0, 0, 0],\n [1, -4, 2, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1723", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 2th power of the matrix:\n[[-2, -4, -2, -2, 2],\n [-4, -5, 0, -1, 0],\n [-2, 0, 0, -2, -2],\n [-2, -1, -2, 3, 2],\n [2, 0, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1, 0, -4],\n [0, 0, -4, -4, 0],\n [-1, -4, 2, 0, 4],\n [0, -4, 0, -2, 2],\n [-4, 0, 4, 2, -5]], determine the value at position (5, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-1, 4, 0, 0, 0],\n [4, -1, 3, 1, 3],\n [0, 3, -4, 0, -2],\n [0, 1, 0, 1, 0],\n [0, 3, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, -4, -4, 5, -3],\n [5, -1, 1, -5, 0],\n [3, -3, 5, -2, 4],\n [3, -2, 5, 4, 0],\n [-4, -4, 4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-3, -2, -5, -4, 1],\n [-5, 2, 0, 3, 5],\n [1, -3, -3, -4, -3],\n [1, 5, 0, 4, -2],\n [4, 3, 5, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1400", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -2, -3, 3],\n [1, 2, 0, -4, -2],\n [1, -5, 1, -1, -1],\n [-3, -1, -2, 2, 1],\n [3, 4, 3, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 3, 2, -1],\n [-3, 0, 0, -1, 2],\n [3, 0, -1, -2, 0],\n [2, -1, -2, -1, -2],\n [-1, 2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1898", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 0, 2, -1, 0],\n [0, -2, -4, -4, -2],\n [2, -4, -4, -2, 2],\n [-1, -4, -2, 4, -3],\n [0, -2, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[3, 2, -2, 1, 2],\n [2, -3, -3, -4, 2],\n [-2, -3, 4, 1, -3],\n [1, -4, 1, 1, -4],\n [2, 2, -3, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, -2, 0, 0, 2],\n [-2, -3, -2, 4, -4],\n [0, -2, 1, 4, -2],\n [0, 4, 4, 1, 2],\n [2, -4, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11944", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-4, 4, -2, -1, -3],\n [0, -2, 2, -3, 0],\n [-4, -5, -2, 4, -3],\n [3, -5, 3, 3, 1],\n [-2, 3, -3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) of the matrix A^3 where A is:\n[[5, 2, 0, -2, 0],\n [2, -5, 0, 4, -2],\n [0, 0, 1, 0, 2],\n [-2, 4, 0, 4, -2],\n [0, -2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, -2, 0, -3],\n [0, 0, 0, 1, 0],\n [-2, 0, -4, -5, 0],\n [0, 1, -5, 5, 2],\n [-3, 0, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[3, -1, 3, -4, 1],\n [4, 2, -2, -5, -4],\n [1, 3, 4, 5, 1],\n [-4, 3, -5, -4, 4],\n [-1, 1, 4, -3, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[2, -3, -5, -4, 0],\n [0, 1, -5, 2, -3],\n [-2, 4, 1, -1, -1],\n [3, 2, 3, -4, -2],\n [-3, 1, -4, 4, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, -3, -4, -1],\n [4, 3, 4, -4, -3],\n [-4, 1, -4, 3, -4],\n [-5, 0, -5, 0, 2],\n [-3, -1, 0, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4626", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 3, 1, 2],\n [4, 2, -5, 1, -1],\n [-4, 1, -2, -3, -2],\n [2, 2, 0, 5, 3],\n [-4, -5, -5, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, -1, 5, 5, -4],\n [1, -4, -3, -2, 4],\n [-3, 3, 2, -1, 2],\n [4, 2, 5, -4, -2],\n [-5, -3, -5, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-1, -4, -4, 0, 5],\n [-3, 2, -5, 1, 5],\n [-4, 2, -5, 4, -3],\n [-2, 4, 5, 2, -3],\n [2, 0, -2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "486", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-4, 2, 1, -1, 3],\n [2, 0, -2, -2, 0],\n [1, -2, -3, 1, 0],\n [-1, -2, 1, -5, 0],\n [3, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, -5, 3, -4],\n [2, 3, 1, -1, 1],\n [-4, -5, -2, -5, -5],\n [0, 3, -3, 1, 2],\n [-2, 5, 4, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, 2, 4, 0, 0],\n [2, 2, 2, 4, 3],\n [4, 2, -4, -1, 0],\n [0, 4, -1, 2, 2],\n [0, 3, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 2, -5, 4],\n [-1, 0, -1, -4, -1],\n [3, 5, 3, -5, 5],\n [1, -1, 4, 4, 2],\n [0, -3, 0, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -1, -1, 4, -5],\n [-5, 0, -5, 2, 1],\n [2, -2, 5, -5, 4],\n [2, 5, -2, -4, -4],\n [2, 3, 3, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23015", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[5, 4, 0, -3, -2],\n [4, 1, 2, 3, 0],\n [0, 2, 0, -1, 0],\n [-3, 3, -1, 5, 3],\n [-2, 0, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "995", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 2th power of the matrix:\n[[-4, 4, 2, -1, 4],\n [4, 2, 2, -2, -4],\n [2, 2, 1, 0, 0],\n [-1, -2, 0, 5, 3],\n [4, -4, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-5, -1, -1, -5, -2],\n [-1, -5, 4, -2, -1],\n [-1, 4, 3, -2, 3],\n [-5, -2, -2, 0, 0],\n [-2, -1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2096", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, 1, 2, 4],\n [-2, 4, 4, 0, 0],\n [1, 4, 1, -1, -3],\n [2, 0, -1, -1, 2],\n [4, 0, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2512", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, -3, 0, -3],\n [0, -4, 1, 4, 3],\n [-5, -3, 3, 3, -5],\n [5, -1, 5, 2, -5],\n [1, 0, 4, -5, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, 0, -2, 0, 1],\n [0, -1, 4, 4, -3],\n [-2, 4, 5, 0, -2],\n [0, 4, 0, 2, 0],\n [1, -3, -2, 0, 5]], determine the value at position (5, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, -5, -5, -2],\n [0, 4, -2, -3, -3],\n [4, 3, 2, 1, 3],\n [-2, 4, 1, -3, 4],\n [0, 1, -5, 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": "414", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 5, 5],\n [5, -1, 1, 4, -1],\n [4, -4, -5, -4, 3],\n [2, -1, 3, 4, 4],\n [5, -5, -3, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-938", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, -5, 4, -1, -4],\n [3, 4, -1, -2, 3],\n [-3, 3, 5, 0, -5],\n [-4, 1, 2, -4, 5],\n [-2, 4, 1, 5, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[5, -2, 1, 2, 1],\n [0, 4, 1, 1, -1],\n [-2, -3, -3, -4, 1],\n [-4, -1, -1, -1, -4],\n [-4, -3, 5, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, 2, 0, 2],\n [2, -2, 1, 3, 0],\n [2, 1, 4, -2, 4],\n [0, 3, -2, -1, -2],\n [2, 0, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15706", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 4) of the result:\nA =\n[[4, 0, 0, -3, 0],\n [0, 4, 3, 0, -3],\n [0, 3, -1, -2, 1],\n [-3, 0, -2, -5, -2],\n [0, -3, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2, -2, 5],\n [-1, 1, -1, 0, -2],\n [5, 1, -2, 5, 1],\n [-2, -4, 5, -5, -4],\n [-1, -1, 1, -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": "4179", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, 4, 0, -2, -3],\n [4, 4, 1, 4, 0],\n [0, 1, 2, -2, 2],\n [-2, 4, -2, -3, 4],\n [-3, 0, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-5, -2, -3, 2, -2],\n [-2, 4, 1, 4, 0],\n [-3, 1, -2, 2, 2],\n [2, 4, 2, -4, 0],\n [-2, 0, 2, 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": "3556", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the 2th power of the matrix:\n[[5, 2, 0, -5, -3],\n [0, 2, 1, 2, 4],\n [-3, 4, 5, 4, -2],\n [0, 4, 5, 1, -2],\n [2, -3, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, 1, 0, 0, 4],\n [1, 2, 1, 5, -1],\n [0, 1, -5, -4, 2],\n [0, 5, -4, -3, 2],\n [4, -1, 2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "526", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 3, -4, -2, -1],\n [3, 0, 0, 2, 1],\n [-4, 0, 2, -1, -2],\n [-2, 2, -1, 0, -2],\n [-1, 1, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8866", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, -1, -4, 0],\n [0, 3, 2, 2, -4],\n [-1, 2, 4, 2, 0],\n [-4, 2, 2, 5, 0],\n [0, -4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -4, 2, -2, 1],\n [-4, 1, -4, -2, 3],\n [2, -4, -3, 2, -2],\n [-2, -2, 2, 4, -2],\n [1, 3, -2, -2, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -5, -2, 1],\n [4, -1, 2, 3, -3],\n [-2, -2, 4, 0, 1],\n [4, -4, -3, 0, -5],\n [-3, 3, -5, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, 0, -5, 1, -1],\n [1, -2, 5, 3, -4],\n [-2, -3, 2, 2, -2],\n [4, -4, 3, 3, 1],\n [4, -4, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-4, -4, 4, -5, -5],\n [-2, 0, 2, -2, -5],\n [5, -3, -3, 4, 2],\n [-5, -2, 4, 4, -2],\n [-5, 4, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 5) of the result:\nA =\n[[-2, -1, -1, -4, -1],\n [-4, -3, 3, 5, 2],\n [1, 4, 1, -1, -3],\n [-3, 5, -2, 1, -2],\n [-1, -2, -5, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-721", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, 0, -2, 4],\n [-1, -2, 4, -1, 0],\n [0, 4, -3, 4, -2],\n [-2, -1, 4, 5, -3],\n [4, 0, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "535", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 2, -1, -5],\n [2, -5, 2, 2, 0],\n [2, 2, -5, 4, -3],\n [-1, 2, 4, -1, 1],\n [-5, 0, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32544", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -4, -2, 3, 0],\n [-4, 3, 2, 4, -4],\n [-2, 2, -4, 4, 3],\n [3, 4, 4, -4, 4],\n [0, -4, 3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79168", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 3, -3, 2, 1],\n [-2, -5, 1, 3, -4],\n [2, 0, 4, 5, 1],\n [-1, 1, -2, 3, 2],\n [0, -5, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-4, 0, -1, -2, -3],\n [1, 3, 3, -2, -1],\n [5, 5, 1, -3, -1],\n [1, 4, -5, 5, 2],\n [-5, 5, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[2, -5, -2, 3, 2],\n [5, 0, 1, 4, -2],\n [-1, 0, 2, -3, 1],\n [-4, -3, -4, -4, -4],\n [2, -1, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-5, 0, -1, -2, -4],\n [0, 2, -2, -2, 0],\n [-1, -2, -5, -5, 2],\n [-2, -2, -5, -2, 0],\n [-4, 0, 2, 0, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -1, 2, -2, -3],\n [-1, 3, -2, -1, 4],\n [2, -2, -2, -2, 0],\n [-2, -1, -2, 1, 2],\n [-3, 4, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -1, 3, 3, -1],\n [5, 0, -5, 4, 4],\n [-4, -3, 3, -2, 0],\n [3, 1, 2, 4, -2],\n [3, -2, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9740", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, 2, 0, 4, -2],\n [2, 3, -4, 3, 2],\n [0, -4, 3, -2, 0],\n [4, 3, -2, -4, -1],\n [-2, 2, 0, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3331", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -4, 2, 5],\n [2, 5, -2, -3, 2],\n [3, 2, 0, 4, -4],\n [-2, 1, -1, 4, 3],\n [1, -3, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[5, -4, -4, 3, 1],\n [-2, -1, -3, -4, 2],\n [-4, -1, -3, -3, -1],\n [1, -2, -2, 1, -2],\n [-2, 4, -2, 1, 1]], determine the value at position (5, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 4, 4, 2, -5],\n [5, 1, -2, -3, 4],\n [-5, 2, -4, 3, -4],\n [0, 5, -2, -3, 5],\n [-4, 2, 2, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -1, -2, 3],\n [0, -4, -1, 0, 4],\n [-1, -1, 5, 3, -2],\n [-2, 0, 3, 5, 0],\n [3, 4, -2, 0, 2]], determine the value at position (3, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-221", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, 0, 5, 4],\n [3, 0, 3, -1, -4],\n [2, 5, -2, 1, 3],\n [-1, 0, -5, -5, 0],\n [2, 2, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, -3, -1, 0, 1],\n [0, -1, -3, 5, -3],\n [2, 2, 2, -1, -3],\n [-4, -3, -2, -3, 5],\n [-4, 0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -2, 5, -5, -5],\n [0, 1, -3, -3, -2],\n [3, 2, 0, -3, -2],\n [2, 5, 3, 4, 4],\n [-3, 1, -3, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, 2, 2, 2],\n [-1, -5, -2, -2, -2],\n [2, -2, 1, 4, 3],\n [2, -2, 4, 3, -3],\n [2, -2, 3, -3, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, -3, 5, -3],\n [1, -1, -3, 4, 5],\n [1, -2, 0, -1, -3],\n [-3, 1, 5, 0, 5],\n [-3, 2, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-423", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -1, -4, -1],\n [-1, -1, -1, 1, 4],\n [-5, -4, 3, -4, 4],\n [-2, -1, 3, -3, -3],\n [-3, -5, -3, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2469", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, -5, -1, -4],\n [1, -1, 5, 0, 0],\n [-2, -4, 4, -1, 2],\n [5, -4, 2, 5, -4],\n [-1, -4, -4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-5, 2, 0, -1, -1],\n [2, -4, 0, -2, 4],\n [0, 0, 5, -2, 0],\n [-1, -2, -2, 5, 1],\n [-1, 4, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 0, -2, -2],\n [0, 4, -2, 2, -2],\n [0, -2, 3, 1, 2],\n [-2, 2, 1, 4, -4],\n [-2, -2, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[4, -1, 0, -1, 2],\n [5, 4, 3, 1, 4],\n [-1, 1, 3, -4, 4],\n [-2, 5, -2, 3, 3],\n [-2, 3, 2, -5, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "534", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, -3, -2, -2],\n [-5, -2, 0, 4, 3],\n [2, 1, -4, 3, 1],\n [4, 0, -3, 4, 2],\n [2, -3, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1904", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^4 where A is:\n[[-3, -1, 5, 1, 4],\n [-4, -2, 5, -5, 5],\n [-2, -5, 3, -2, -3],\n [-1, 2, 1, 5, -3],\n [0, -2, 5, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-757", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 2, 2, -3, -4],\n [-4, -1, 2, -2, 2],\n [2, -3, -2, -2, -5],\n [-1, -5, 1, -2, 0],\n [-1, -2, 0, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-5, 5, 2, -4, 4],\n [5, 4, -4, -5, 4],\n [-2, 4, 2, -3, 3],\n [5, 0, -2, 3, -4],\n [1, 3, -5, 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": "2462", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 5, 1, -5, 2],\n [1, -4, -5, -1, 2],\n [-1, 1, 3, 0, 5],\n [4, -4, 5, -3, 4],\n [-1, 4, 4, 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": "36502", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, -5, 5, 0],\n [0, 5, 1, 4, 5],\n [0, -5, 0, -2, -3],\n [5, -5, -3, -1, -3],\n [-4, 3, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -4, 2, 1, 0],\n [-4, -4, 0, 0, -2],\n [2, 0, -5, -4, 0],\n [1, 0, -4, 3, -2],\n [0, -2, 0, -2, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, 1, -1, 3],\n [3, 4, 1, 4, 1],\n [3, -4, 5, -4, 1],\n [-4, 3, 2, 3, -3],\n [2, 3, 5, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23142", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 0, 3, 5],\n [1, 5, 2, 0, -5],\n [-2, 1, -4, -1, 3],\n [2, -1, 4, -4, -3],\n [-3, 5, -2, 2, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -2, 0, 4, 4],\n [-2, 3, -2, -2, 0],\n [0, -2, 4, -2, -1],\n [4, -2, -2, -1, -2],\n [4, 0, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "445", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) of the matrix A^2 where A is:\n[[5, 2, 0, 0, 0],\n [2, -5, 2, -2, 4],\n [0, 2, 3, -2, -2],\n [0, -2, -2, 5, -4],\n [0, 4, -2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^2 where A is:\n[[0, 2, 2, 0, 2],\n [2, 4, 0, -2, 0],\n [2, 0, -5, -2, 4],\n [0, -2, -2, -3, -2],\n [2, 0, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 3, 5, 4],\n [-2, -3, -3, -2, -5],\n [-5, -3, -5, 5, -5],\n [-1, -3, -4, -1, 5],\n [4, -4, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-5, -2, 5, 2, 4],\n [4, -2, -3, -1, -1],\n [-5, 3, -4, -2, -5],\n [2, 1, 1, 1, 0],\n [-5, 0, 5, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-766", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 5) of the result:\nA =\n[[-5, 4, 0, 0, 4],\n [4, -1, 0, 4, 0],\n [0, 0, 2, 0, -4],\n [0, 4, 0, 5, 3],\n [4, 0, -4, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-5, 2, -2, -2, -3],\n [2, -4, 0, 2, 1],\n [0, 5, 5, 4, 4],\n [-3, 2, 0, 2, -2],\n [0, 3, 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": "451", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, -4, 3],\n [0, -5, 4, 2, -2],\n [0, 4, 0, -4, -4],\n [-4, 2, -4, 3, 4],\n [3, -2, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5366", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -3, 2, -2, 2],\n [1, -5, 1, -2, -4],\n [3, 3, 3, 1, 2],\n [-5, -3, 1, -2, -3],\n [-4, 2, 0, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4095", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -1, -3, 2, 4],\n [5, 0, -2, -2, 5],\n [0, 1, 4, -2, -2],\n [0, -3, 1, -3, -1],\n [5, 2, -5, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-662", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-5, -3, 1, 3, 1],\n [-3, -3, 1, 0, -4],\n [1, 1, -4, -2, -2],\n [3, 0, -2, -1, 2],\n [1, -4, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-680", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -4, 5, -2, -5],\n [-4, -3, 2, 1, -3],\n [-2, -3, -3, -4, 4],\n [-5, 4, -4, 5, 4],\n [-3, -2, 1, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -5, 3, -2, -2],\n [-3, -4, -3, -2, -3],\n [5, 3, -5, 0, 3],\n [-5, 5, 4, -2, -2],\n [-5, -3, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 5, -2, -2],\n [-1, -3, -2, -2, 1],\n [0, 1, -2, 3, 1],\n [3, -5, 2, 1, 3],\n [-4, -5, 3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -4, -1, 2],\n [0, 1, 4, 0, 0],\n [-4, 4, 5, -1, -2],\n [-1, 0, -1, -2, 0],\n [2, 0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2738", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 1, -3, -5],\n [-4, 5, 1, 5, 3],\n [3, 4, 4, 3, 2],\n [-2, -4, 1, -5, -4],\n [-4, -5, 0, 3, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-4, 1, 5, 5, -2],\n [1, -2, -2, 0, 2],\n [5, -2, 2, 4, 0],\n [5, 0, 4, 4, 2],\n [-2, 2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -4, -2, -4],\n [-1, -1, 0, 4, 0],\n [-4, 0, 4, 1, 2],\n [-2, 4, 1, 3, 3],\n [-4, 0, 2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37319", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-5, 0, 5, -3, -5],\n [1, -4, -3, -4, 3],\n [-5, 4, 4, 1, 3],\n [1, -3, 2, -5, -4],\n [4, -3, -5, -3, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 0, -3, 0],\n [-4, -1, 0, 0, 0],\n [0, 0, 5, 0, 0],\n [-3, 0, 0, 3, 4],\n [0, 0, 0, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10099", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-4, 5, 2, 2, -2],\n [5, 3, -2, 0, 2],\n [2, -2, -4, 0, -3],\n [2, 0, 0, -4, 2],\n [-2, 2, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, 0, -2, -1, 2],\n [0, -1, 3, -3, 0],\n [4, -3, -3, -5, -2],\n [5, -5, 1, 5, -3],\n [4, 1, 4, -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": "3294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-5, 2, 4, 2, 3],\n [2, -4, -2, 4, -1],\n [4, -2, 1, 0, -2],\n [2, 4, 0, -1, 3],\n [3, -1, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4294", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, -3, 5, -1],\n [2, -2, -2, 0, 0],\n [-3, -2, 1, 4, -3],\n [5, 0, 4, -2, 0],\n [-1, 0, -3, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24253", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, 5, 1, -1, 0],\n [0, -1, -5, 1, -1],\n [-5, 1, 5, 4, -3],\n [0, 0, -2, -2, 3],\n [1, 3, 1, 1, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2279", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, -1, 2, -2],\n [-2, 2, 4, -2, 0],\n [-1, 4, -5, -2, -2],\n [2, -2, -2, 0, -2],\n [-2, 0, -2, -2, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -2, 0, 4],\n [2, 1, 2, 2, -1],\n [-2, 2, -2, 1, 0],\n [0, 2, 1, -2, 2],\n [4, -1, 0, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3970", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -1, 2, 2, -4],\n [-1, 3, 0, -2, -2],\n [2, 0, 3, 0, -4],\n [2, -2, 0, 2, -2],\n [-4, -2, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, 2, 1, -3],\n [0, 5, 0, -1, -1],\n [2, 0, 5, 2, -1],\n [1, -1, 2, 2, 2],\n [-3, -1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, -1, -3],\n [0, 0, -5, 1, 0],\n [-2, -5, -3, -3, 0],\n [-1, 1, -3, -3, 3],\n [-3, 0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12341", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[4, 1, -4, -1, 5],\n [4, 3, 0, -4, 2],\n [4, -3, 4, -4, 4],\n [1, -4, -1, 0, 5],\n [2, 5, -4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -1, -3, -2],\n [2, -4, -2, 0, -2],\n [-1, -2, -2, -4, 0],\n [-3, 0, -4, -4, -5],\n [-2, -2, 0, -5, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "585", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 4) of the result:\nA =\n[[-4, -2, -5, 3, 1],\n [-5, 5, -4, -2, 2],\n [-4, -4, -3, 2, -4],\n [2, -2, 4, -5, 2],\n [5, 2, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -4, -3, -5, -2],\n [2, -5, -4, -4, 2],\n [-5, 2, 5, 0, 2],\n [4, 1, 3, 3, 5],\n [-4, 0, 1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "902", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) of the matrix A^2 where A is:\n[[1, 0, 5, 3, -2],\n [-3, 0, -1, -3, -3],\n [2, 2, -4, 2, 4],\n [-5, 5, -3, 2, 1],\n [4, 0, 4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, -3, 0],\n [0, -3, 0, 4, -4],\n [2, 0, 1, 3, 4],\n [-3, 4, 3, -2, -4],\n [0, -4, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, 0, 2, -2],\n [2, -2, -2, -2, -2],\n [0, -2, 1, -2, 2],\n [2, -2, -2, 4, -1],\n [-2, -2, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-4, -3, -4, -4, -2],\n [-3, -2, -4, 2, 0],\n [-4, -4, -1, -4, 2],\n [-4, 2, -4, 3, 1],\n [-2, 0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, -1, -2],\n [2, -3, 3, 0, 1],\n [0, 3, -5, -1, 0],\n [-1, 0, -1, -3, 2],\n [-2, 1, 0, 2, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-347", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-5, 0, 3, -4, 2],\n [3, 0, 2, 1, 1],\n [-4, -1, -5, -3, 1],\n [-2, 2, 5, -4, -3],\n [5, 0, 0, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -1, 0, 0, -3],\n [-1, 4, 3, 4, 4],\n [0, 3, -3, -4, 2],\n [0, 4, -4, 4, 1],\n [-3, 4, 2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "257", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-3, 5, 2, 2, -2],\n [-5, 1, -4, 1, 0],\n [2, -4, 3, -2, 4],\n [4, 4, -4, 4, -5],\n [4, 3, 1, 5, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-504", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 0, -4, 0, 0],\n [0, 0, 0, 3, 4],\n [-4, 0, 4, 0, -1],\n [0, 3, 0, 1, -4],\n [0, 4, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[5, -3, -2, 1, -2],\n [-3, 2, 0, 0, 2],\n [-2, 0, 2, 0, 3],\n [1, 0, 0, -5, -2],\n [-2, 2, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2792", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 1, 0, -4],\n [3, 0, 0, 1, 3],\n [1, 0, 2, 2, -3],\n [0, 1, 2, -1, 3],\n [-4, 3, -3, 3, -4]], determine the value at position (5, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-5, -5, 5, 1, -3],\n [-5, -2, -1, 4, 5],\n [-1, 4, -4, -1, 1],\n [-3, -4, -5, 5, -3],\n [5, -3, 0, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1429", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 4, -4, 0, -3],\n [-4, -5, -2, -1, 5],\n [5, -2, 1, -1, -5],\n [-5, 0, -5, -3, 4],\n [5, 0, 4, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30126", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 0, 1, 0],\n [-4, -3, 4, 5, -4],\n [0, 4, -3, 4, -3],\n [1, 5, 4, -1, 2],\n [0, -4, -3, 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": "5937", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-5, -4, 0, 0, -2],\n [-4, 4, 0, -3, 1],\n [0, 0, 5, 2, -2],\n [0, -3, 2, -1, -4],\n [-2, 1, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-5, 5, 0, -1, 4],\n [5, 3, -1, -3, 2],\n [0, -1, 1, 3, 0],\n [-1, -3, 3, 3, -1],\n [4, 2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "615", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2, 5, -1],\n [-4, 3, 4, -4, -1],\n [-4, -5, 5, 1, 3],\n [-3, -3, -5, 5, 0],\n [2, 5, -2, 1, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, 0, -1, 0],\n [-4, -1, -1, -1, 3],\n [-5, 5, 0, 1, -5],\n [-3, -1, -2, 0, 5],\n [1, -4, 4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2659", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, -1, 2],\n [0, 3, 1, -1, -4],\n [2, 1, 0, -2, -1],\n [-1, -1, -2, -1, -1],\n [2, -4, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1554", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -2, -2, 4, -2],\n [-2, -1, -4, 2, 2],\n [-2, -4, -1, 0, 0],\n [4, 2, 0, -4, 2],\n [-2, 2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6111", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 3, 0, -2, -5],\n [2, 2, 2, 2, 2],\n [5, 2, -3, 0, 4],\n [-1, -4, -3, 1, 3],\n [3, -2, 1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 4, 2, 1],\n [2, 0, 4, 3, -2],\n [1, 5, -4, 0, -5],\n [5, -2, -3, -1, 1],\n [1, 5, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-660", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 1, 0, -2],\n [2, -4, -2, -1, 0],\n [1, -2, 0, 0, 1],\n [0, -1, 0, 4, -1],\n [-2, 0, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5258", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 2, 0],\n [0, 3, 0, 4, 0],\n [0, 0, 5, -2, -4],\n [2, 4, -2, -4, -2],\n [0, 0, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 1, 4, -4],\n [0, 4, -4, 0, -3],\n [1, -4, 5, 0, 4],\n [4, 0, 0, -4, 0],\n [-4, -3, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6576", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -5, 1, -3, 0],\n [1, 2, -4, -3, 1],\n [-5, 2, 0, 1, 0],\n [-2, -5, -5, -5, -5],\n [4, 4, -5, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3320", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, 3, -2],\n [-3, 1, 4, -5, 3],\n [0, 2, -5, -4, 3],\n [1, 4, 2, 0, 3],\n [3, 3, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -4, 0, -1, -2],\n [-1, -3, -3, -5, -2],\n [5, 1, 1, -3, -5],\n [3, -2, 1, -4, -1],\n [-1, 4, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20867", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 1, 4, -4],\n [1, 5, -3, 5, -3],\n [-5, 3, -4, 1, -4],\n [-4, 4, -2, 0, 2],\n [0, -4, -1, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "424", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 4, 0, 1],\n [0, 4, 0, 2, 0],\n [4, 0, 1, 0, 2],\n [0, 2, 0, -3, 0],\n [1, 0, 2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[2, 0, 0, -3, -1],\n [0, -3, -2, -2, 0],\n [0, -2, 4, 2, 4],\n [-3, -2, 2, -5, -4],\n [-1, 0, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 2, -5, 0, 5],\n [3, 5, 0, 4, -5],\n [-2, 0, 4, -2, 3],\n [-3, -2, 0, -5, -2],\n [0, -3, 0, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, -1, 0, 1],\n [5, 3, 1, -1, -4],\n [4, 4, 1, 3, -2],\n [0, 2, 1, -2, -1],\n [2, 5, -4, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6380", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 2, 0, -3],\n [0, 2, -5, -5, 2],\n [-3, 5, -5, -3, -3],\n [-3, -1, -2, 5, 2],\n [-3, 2, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 2, 0, -2],\n [2, -2, -2, 0, -2],\n [2, -2, 5, 2, -2],\n [0, 0, 2, 1, 0],\n [-2, -2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1517", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[5, 1, -1, -4, 2],\n [2, 4, -2, 3, 1],\n [-2, -3, -4, 4, 0],\n [3, -4, 2, -2, 1],\n [-5, 5, 2, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2414", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 2, 5, -3],\n [-2, 4, 0, -2, -1],\n [-3, -3, 0, -2, 3],\n [-2, 3, 0, 3, 3],\n [-4, 3, 0, 0, 4]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 2, -2],\n [2, -1, 4, 0, 3],\n [-2, 4, 2, -1, 2],\n [2, 0, -1, 1, 0],\n [-2, 3, 2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1978", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-5, -5, 0, 2, 2],\n [-5, 0, 3, -1, 5],\n [3, -1, -5, -3, -1],\n [0, -2, 1, 5, -1],\n [-2, -5, -4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 1, -2, 0],\n [2, 5, 4, -2, 3],\n [1, 4, 2, -2, 0],\n [-2, -2, -2, 1, 0],\n [0, 3, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29948", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-5, 4, 1, -4, -1],\n [0, 3, 4, -4, -3],\n [3, 0, -2, -1, 4],\n [4, 0, -5, 5, -1],\n [-3, 5, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, 2, -4, 0],\n [0, 5, 2, -4, 2],\n [2, 2, -1, 0, 2],\n [-4, -4, 0, -4, 2],\n [0, 2, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -1, -1, 3, 4],\n [-4, 2, 1, 4, 5],\n [4, -4, 4, -3, 4],\n [-5, 3, -2, 4, -2],\n [1, 5, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 4, 1, -4],\n [-3, -3, -1, -5, -5],\n [-1, 2, 3, 1, -5],\n [-5, 0, -3, 4, 3],\n [5, 5, -2, -2, -2]], determine the value at position (5, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 2, 0, -4],\n [-3, -2, -4, -2, 1],\n [1, 4, -5, 5, 5],\n [3, -4, -4, 1, -5],\n [-2, -1, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16469", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 4, -2],\n [2, 3, -2, -4, 0],\n [0, -2, 2, -2, 2],\n [4, -4, -2, 0, -2],\n [-2, 0, 2, -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": "25094", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, -2, 0, 2],\n [-1, 4, -1, 0, 0],\n [-2, -1, 3, 0, 0],\n [0, 0, 0, -2, -1],\n [2, 0, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[5, 2, -4, -3, 3],\n [-3, 5, -1, 0, -1],\n [1, 4, -4, 4, 1],\n [-2, 4, -1, -4, 1],\n [-4, -4, 4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2034", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 2, -2, 0],\n [-2, -4, 4, 1, 0],\n [2, 4, -5, -2, 2],\n [-2, 1, -2, -2, 2],\n [0, 0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -1, 2, 1],\n [-4, -2, 1, 2, 0],\n [-1, 1, -1, 5, 0],\n [2, 2, 5, 4, 0],\n [1, 0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[4, -2, 2, -2, 2],\n [-2, 4, 0, -2, 0],\n [2, 0, 0, -1, 1],\n [-2, -2, -1, -1, 2],\n [2, 0, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-1, 4, -1, -4, 1],\n [4, 0, 2, -2, -2],\n [-2, 5, -5, 3, -5],\n [5, -2, -1, 1, -4],\n [-4, -3, -4, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, 5, 1, 1],\n [0, 4, 4, -2, 1],\n [4, 0, 1, -4, -3],\n [-2, 4, 4, -3, 0],\n [-2, -2, 1, 3, 1]], determine the value at position (5, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-3, 0, 0, -2, 0],\n [0, -1, 2, 0, -1],\n [0, 2, -3, -3, -4],\n [-2, 0, -3, 5, 0],\n [0, -1, -4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -4, 0, -5, 3],\n [5, 1, -4, 4, 1],\n [-5, 0, -1, 0, -3],\n [-4, -2, -2, 3, 0],\n [0, 3, 2, 4, 5]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 5, 4, 2, -5],\n [2, 2, 5, 3, -1],\n [-1, -4, -2, -4, -1],\n [1, 2, 0, -3, -3],\n [5, -5, 1, -5, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2022", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-5, -1, 2, 0, -2],\n [-1, 3, 1, 0, 4],\n [2, 1, 1, 4, 0],\n [0, 0, 4, 2, 2],\n [-2, 4, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -5, -3, -2, 2],\n [-1, 1, -5, 3, -4],\n [2, -1, -5, 5, 0],\n [5, 2, 2, -2, -2],\n [1, 2, 2, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-469", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -1, -4, -2],\n [2, -3, 4, -2, 3],\n [2, 4, -3, 2, 5],\n [4, 3, 1, 3, -5],\n [-1, 0, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 5, 2, -1, 1],\n [-4, 2, 3, -2, -1],\n [-2, -2, 0, 4, -2],\n [1, 1, 5, -3, -3],\n [-1, -1, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1260", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 5, 5, 5, 3],\n [-1, 5, 3, 0, 3],\n [0, -2, -3, 3, -1],\n [3, 2, 5, -2, 2],\n [-4, 4, -1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13812", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the 4th power of the matrix:\n[[2, 3, 0, 0, 1],\n [3, 0, 1, -2, 4],\n [0, 1, -1, -2, 0],\n [0, -2, -2, -5, 2],\n [1, 4, 0, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3422", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -2, 0, 3, 4],\n [-2, -5, 2, 3, 0],\n [0, 2, 5, -1, 1],\n [3, 3, -1, 2, 2],\n [4, 0, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "359", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, 4, -2, 4],\n [-1, 5, 0, -2, 0],\n [4, 0, 1, -2, 0],\n [-2, -2, -2, 0, -2],\n [4, 0, 0, -2, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, 3, -1, 2, 1],\n [0, 5, 2, -5, 3],\n [-5, 2, -5, -3, -5],\n [3, -1, 3, 3, -5],\n [2, 4, 4, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0, -1, -3],\n [-1, 4, -5, -2, 2],\n [0, -5, 0, -4, -4],\n [-1, -2, -4, -5, -2],\n [-3, 2, -4, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42657", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 0, -4, -4],\n [0, 0, 3, 2, -5],\n [4, -3, -5, -1, -3],\n [-3, 3, 1, -3, -3],\n [0, 3, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-361", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 2, -4, 5],\n [-3, 4, -2, 5, 2],\n [5, 3, -3, -5, 5],\n [1, 2, 4, -1, -1],\n [4, -5, 4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -4, 0, -2, -3],\n [-4, 0, -3, 2, 4],\n [0, -3, 5, 2, -2],\n [-2, 2, 2, -4, -2],\n [-3, 4, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "510", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-5, 0, -4, 2, -2],\n [0, -5, -1, 0, 2],\n [-4, -1, -3, 5, 4],\n [2, 0, 5, -5, 2],\n [-2, 2, 4, 2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5416", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the 3th power of the matrix:\n[[5, 1, -5, 3, 3],\n [5, 0, -5, 5, 0],\n [0, 1, 1, 4, 0],\n [2, 1, -3, -3, 1],\n [-4, -1, 1, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-5, 3, -2, -2, 0],\n [3, -1, 2, -2, 1],\n [-2, 2, -5, 0, 0],\n [-2, -2, 0, -4, -4],\n [0, 1, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[5, 2, 0, -2, -3],\n [2, 0, 0, 2, 0],\n [0, 0, 0, 0, -2],\n [-2, 2, 0, 5, -2],\n [-3, 0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2877", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-2, 2, 1, 2, 2],\n [2, 5, -4, 2, 0],\n [1, -4, 0, 0, -1],\n [2, 2, 0, -4, 1],\n [2, 0, -1, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[5, 0, -1, -2, 2],\n [0, 4, 4, 5, 2],\n [-4, -3, 5, 4, 1],\n [5, -3, -3, -4, -4],\n [4, -3, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1369", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 4, 1, -4],\n [4, -3, -4, 5, 5],\n [5, 4, 4, -5, 5],\n [-4, 3, 1, -5, 0],\n [-2, 4, 3, 4, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 2, -2, 0],\n [-2, 3, -4, -1, 4],\n [2, -4, 2, 0, 1],\n [-2, -1, 0, -5, 2],\n [0, 4, 1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3059", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 4, -3, 0, 3],\n [4, 3, -2, -2, 1],\n [-3, -2, -2, -2, -4],\n [0, -2, -2, 0, -1],\n [3, 1, -4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -3, -3, 5],\n [-4, 3, -5, -5, 0],\n [2, -3, 5, -3, 5],\n [2, 4, 3, 0, -2],\n [1, -3, -3, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, -5, 4, -1],\n [3, 4, 0, 0, 4],\n [3, 1, 3, 2, 3],\n [2, 3, 0, 3, -1],\n [-3, -4, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1468", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-5, 0, 5, 3, 5],\n [-3, -1, 1, 4, 4],\n [0, -4, -4, 2, 4],\n [-2, 4, 4, 2, -4],\n [-1, 0, -3, 0, 3]], determine the value at position (5, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 2, -2, -3, 0],\n [2, 4, -4, 0, 3],\n [-2, -4, -1, 2, 4],\n [-3, 0, 2, -2, 2],\n [0, 3, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -5, -2, -2],\n [-2, -2, 4, -1, 5],\n [-4, 1, -4, 3, -3],\n [-4, 1, 2, 1, -2],\n [-5, -4, -4, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22407", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[5, 4, -1, 2, 0],\n [4, -2, -4, 0, -2],\n [-1, -4, -4, 2, -2],\n [2, 0, 2, 5, -2],\n [0, -2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 0, 0, -1],\n [-4, 4, -4, 3, 1],\n [0, 5, 5, -1, -3],\n [5, -1, -1, 2, -5],\n [2, -1, 5, 3, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[5, 1, 0, 3, 0],\n [1, -3, -2, -2, -4],\n [0, -2, -3, -2, 1],\n [3, -2, -2, 0, -1],\n [0, -4, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "257", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 4) of the result:\nA =\n[[5, -1, 4, 2, -1],\n [1, -3, -1, -5, -4],\n [-3, -1, 2, 2, 3],\n [-5, 2, 2, -3, 2],\n [5, 2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the 3th power of the matrix:\n[[2, 3, -4, 3, -2],\n [4, -3, 1, -2, -5],\n [-4, 1, 0, -3, -4],\n [-1, 0, 3, 0, 3],\n [4, 4, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, -4, 0, 2],\n [0, 1, 0, 0, -2],\n [-4, 0, 4, -1, 4],\n [0, 0, -1, 5, 2],\n [2, -2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1896", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, 0, 2, -1],\n [-2, 2, 0, 3, -2],\n [0, 0, 0, -2, 1],\n [2, 3, -2, 0, 0],\n [-1, -2, 1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[5, 3, 2, 4, -2],\n [3, -2, 3, 0, 0],\n [2, 3, 5, 1, 2],\n [4, 0, 1, -4, -1],\n [-2, 0, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2753", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -4, 1, 0, 2],\n [3, 4, 2, 5, -5],\n [3, -5, 5, -5, -3],\n [2, -2, -3, 4, -4],\n [-2, 1, 3, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "635", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -5, -2, -1, -2],\n [-5, 4, -5, 1, 5],\n [0, 5, -4, -2, 0],\n [0, -1, -2, -5, -4],\n [3, 1, 5, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2581", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -4, 4, 0],\n [2, 3, -2, 0, -1],\n [-4, -2, -1, 0, 0],\n [4, 0, 0, 5, -2],\n [0, -1, 0, -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": "19975", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 0, 4, 0],\n [-5, 4, -5, -3, -4],\n [4, 3, 1, -3, 2],\n [5, -5, -4, -3, 0],\n [2, -4, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27270", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the 4th power of the matrix:\n[[1, 2, -1, 0, -2],\n [2, -2, 1, 1, 2],\n [-1, 1, -4, 2, 2],\n [0, 1, 2, -4, 4],\n [-2, 2, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "904", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -3, -1, 3, -1],\n [-1, 4, 0, 5, -1],\n [5, -3, -4, 1, 3],\n [2, 2, -5, -5, 4],\n [2, -5, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, 0, -1, 3, 1],\n [-1, -5, 3, 5, -3],\n [5, -1, 1, 0, 3],\n [-4, -2, -5, 2, 0],\n [4, -1, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2336", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, 2, 4, 3, 2],\n [2, 0, 0, -2, -1],\n [4, 0, 2, -2, 4],\n [3, -2, -2, -5, 2],\n [2, -1, 4, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, 0, 1, 0, 0],\n [0, -4, 1, -4, -4],\n [1, 1, 5, 0, -2],\n [0, -4, 0, -2, 2],\n [0, -4, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[4, 1, 0, -1, 1],\n [1, -3, 0, 5, -2],\n [0, 0, 0, 1, 3],\n [-1, 5, 1, 5, 2],\n [1, -2, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-5, -4, 1, 1, 2],\n [-4, 2, -2, 4, 3],\n [1, -2, -3, -2, 0],\n [1, 4, -2, 4, 0],\n [2, 3, 0, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15031", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, -1, -2, 0, 0],\n [-1, -1, 0, 0, -5],\n [-2, 0, -2, 0, 1],\n [0, 0, 0, -3, 0],\n [0, -5, 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": "1747", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the 2th power of the matrix:\n[[-2, -1, 0, 1, 3],\n [-1, -4, 2, 0, 1],\n [0, 2, -5, -2, 0],\n [1, 0, -2, 4, 4],\n [3, 1, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, -4, 3, 4],\n [2, -1, -2, 0, -4],\n [-5, 4, 3, 0, 4],\n [3, 2, 3, 0, 4],\n [2, 3, 4, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1487", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0, 1, 0],\n [0, -1, 0, -3, -2],\n [0, 0, 2, -1, -2],\n [1, -3, -1, -1, 1],\n [0, -2, -2, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -4, 0, 0, -2],\n [-4, 3, 0, -2, -1],\n [0, 0, -5, -2, 3],\n [0, -2, -2, 4, -1],\n [-2, -1, 3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^2 where A is:\n[[3, -2, 1, 2, -2],\n [-2, 5, 0, 3, -4],\n [1, 0, -2, -3, 4],\n [2, 3, -3, -2, 0],\n [-2, -4, 4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 5, -5, -2, 4],\n [-4, 4, 5, 2, -2],\n [0, -2, 4, 2, 3],\n [-1, 4, -3, 1, -2],\n [-2, -5, 2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3207", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 4, -3, 1],\n [-3, 3, 4, -1, -1],\n [3, -3, 1, 1, 0],\n [2, 1, -1, -5, -1],\n [2, 0, -5, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1775", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[5, 2, 0, 1, -2],\n [2, 4, -2, 2, -3],\n [0, -2, -1, 0, 0],\n [1, 2, 0, 0, -2],\n [-2, -3, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3073", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 4, 0, 0],\n [0, 4, -1, 4, 4],\n [4, -1, 3, 4, -4],\n [0, 4, 4, -5, -1],\n [0, 4, -4, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 0, -2, 3, -2],\n [4, 5, -3, 1, 3],\n [-1, -1, 4, 5, -3],\n [3, 2, -5, 2, -3],\n [2, 1, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[5, -2, -3, -5, -4],\n [-3, -3, 4, -1, -4],\n [4, -5, -5, 5, -4],\n [2, -1, -2, 2, 4],\n [4, -5, 5, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "635", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, -1, -1, 0],\n [0, 0, 0, -3, 2],\n [-1, 0, 4, -1, -2],\n [-1, -3, -1, 5, -1],\n [0, 2, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, -3, 0, 3],\n [0, -4, 2, 2, 2],\n [-3, 2, -3, 0, 0],\n [0, 2, 0, -2, -2],\n [3, 2, 0, -2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2226", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 4) of the result:\nA =\n[[1, 0, -2, 4, 3],\n [0, -4, -2, -1, -2],\n [-2, -2, 3, 0, 2],\n [4, -1, 0, -2, -3],\n [3, -2, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[2, 0, -5, 3, -5],\n [2, 5, -4, 2, 0],\n [5, 2, -2, -2, -1],\n [0, 0, -5, 2, -5],\n [-3, 5, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-1, 0, -3, -5, 0],\n [-3, -2, -5, 3, -2],\n [4, 4, -4, -5, -1],\n [4, 4, -1, -2, 2],\n [0, 4, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 4, -2, 3],\n [2, -2, 4, 3, 4],\n [4, 4, -1, 0, 0],\n [-2, 3, 0, -1, -4],\n [3, 4, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43472", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 5, -4, 1, 3],\n [3, 2, 5, -2, 3],\n [-3, 1, 3, 3, 3],\n [4, 5, 2, -2, 0],\n [-2, 1, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19991", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 2, 2, 0],\n [2, 2, 2, 3, 0],\n [2, 2, 2, -2, 0],\n [2, 3, -2, -2, 0],\n [0, 0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -5, 2, 0],\n [1, 2, 2, 0, 2],\n [-5, 2, -3, 4, 0],\n [2, 0, 4, 3, -1],\n [0, 2, 0, -1, 5]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, 1, 3, -1],\n [-4, -3, -5, -1, -4],\n [-2, 0, 2, 0, 3],\n [-4, 1, 3, -2, 0],\n [-2, -5, -1, -4, 1]], determine the value at position (5, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, -3, -1, 0],\n [-4, -1, -2, 2, 4],\n [-3, -2, -5, -1, 0],\n [-1, 2, -1, -5, -1],\n [0, 4, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[2, 0, 2, -1, -5],\n [-3, -3, 1, 0, 4],\n [-3, 5, 5, 0, -4],\n [-2, -1, -1, -5, 2],\n [0, 0, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 1, 1, 5],\n [-1, -5, -5, 5, -1],\n [1, 5, -1, 3, 4],\n [4, 5, 2, -5, 5],\n [4, -5, -5, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "640", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[5, 0, 0, -1, 3],\n [0, -2, 1, 0, 0],\n [0, 1, -4, -1, 4],\n [-1, 0, -1, 0, 0],\n [3, 0, 4, 0, 4]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -5, 0, -3],\n [-1, 1, 1, 4, -5],\n [3, -5, 5, 0, -5],\n [5, 1, -1, 1, 2],\n [4, -1, -2, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[5, -4, 2, 0, -2],\n [-4, -1, 0, -2, 2],\n [2, 0, 2, -2, 1],\n [0, -2, -2, 3, 0],\n [-2, 2, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) of the matrix A^3 where A is:\n[[5, -2, 2, -2, -2],\n [-2, 1, 1, -4, 0],\n [2, 1, -5, -3, 0],\n [-2, -4, -3, -5, 2],\n [-2, 0, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -5, -5, -4, -4],\n [0, -2, 2, -5, -5],\n [5, 0, -1, 5, 3],\n [-2, 2, -5, -4, 1],\n [-4, -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": "526", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 1, -4, 2],\n [0, 5, 2, 1, 4],\n [1, 2, 4, 0, 0],\n [-4, 1, 0, 0, 4],\n [2, 4, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[5, -2, 4, 3, -2],\n [1, 3, 4, 5, 2],\n [3, 2, 0, 4, 3],\n [-5, -4, 4, 2, 3],\n [5, 5, 3, 5, -4]], determine the value at position (5, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 2, 2, 2],\n [1, -2, -2, 0, 2],\n [2, -2, 5, 3, 2],\n [2, 0, 3, 4, -2],\n [2, 2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, -1, 4, 2],\n [2, -4, -1, 3, 0],\n [-1, -1, 5, -4, 0],\n [4, 3, -4, 5, 0],\n [2, 0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 0, 2, 1, 2],\n [0, -1, 2, 4, -2],\n [2, 2, 4, 1, 2],\n [1, 4, 1, 3, -4],\n [2, -2, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-5, 0, 1, -4, -5],\n [1, -3, 0, 5, -1],\n [-1, -3, -4, -5, 0],\n [1, -5, -1, -5, 0],\n [-5, 3, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19810", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, -4, 0, -1],\n [0, 3, -5, 2, 0],\n [4, -2, -4, -1, 1],\n [3, -1, 4, -2, 0],\n [0, -1, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 2, 4, 0],\n [-1, 5, -3, -3, 0],\n [2, -3, 5, 4, 2],\n [4, -3, 4, -1, -3],\n [0, 0, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81842", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) of the matrix A^4 where A is:\n[[3, 4, 0, 2, 0],\n [4, 1, -3, 4, -2],\n [0, -3, 0, -3, 0],\n [2, 4, -3, -3, 2],\n [0, -2, 0, 2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-5, 4, -2, -4, 1],\n [3, -4, -2, 4, 1],\n [1, 4, -3, 2, 4],\n [0, -5, -3, -4, 1],\n [5, -4, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3254", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -5, -1, -5, 5],\n [4, -2, 1, 2, -3],\n [1, 1, 0, 3, -2],\n [-3, 3, 5, -5, -3],\n [4, -2, -1, -5, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1118", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, 3, 0, 4],\n [1, -2, 0, -2, -1],\n [3, 0, 5, 4, -2],\n [0, -2, 4, -4, 1],\n [4, -1, -2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2111", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 2th power of the matrix:\n[[0, 0, 0, -2, 2],\n [0, 0, 1, -3, 1],\n [0, 1, 0, -1, 1],\n [-2, -3, -1, 3, 0],\n [2, 1, 1, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[5, -5, 2, -5, 0],\n [2, -5, 5, 3, 1],\n [3, 4, -4, 5, -1],\n [4, -3, -2, -3, -5],\n [-1, -2, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-1, 0, -2, 0, -1],\n [0, 0, 4, 2, 4],\n [-2, 4, -4, 4, -1],\n [0, 2, 4, 5, 0],\n [-1, 4, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 5) of the result:\nA =\n[[-1, 5, 5, 3, 2],\n [1, -2, -4, 0, 4],\n [0, -1, -1, 3, 2],\n [-3, 1, 2, -2, 3],\n [-5, 5, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 4, -5, -4],\n [5, 3, -2, -2, -4],\n [-2, 0, 4, 0, 2],\n [5, 3, 4, -1, -2],\n [-3, 5, 5, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 2, 0, 5, 1],\n [2, 5, 4, 1, 1],\n [0, 4, 5, 0, 0],\n [5, 1, 0, -5, 0],\n [1, 1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 2, -4, -4],\n [0, 0, 2, -4, 0],\n [2, 2, 0, -1, 0],\n [-4, -4, -1, 4, -4],\n [-4, 0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15923", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-5, -1, 0, 4, 4],\n [-2, -1, 0, 1, 2],\n [5, -3, -5, 3, -2],\n [4, 2, -3, 2, 0],\n [2, 0, -5, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -1, 4, 4],\n [0, 4, 1, 2, -2],\n [-1, 1, -4, -2, 0],\n [4, 2, -2, -2, 0],\n [4, -2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "472", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) of the matrix A^3 where A is:\n[[2, 2, 2, 2, -4],\n [2, 1, 3, -2, 1],\n [2, 3, -1, 1, 4],\n [2, -2, 1, -2, -1],\n [-4, 1, 4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, 5, 0, 2],\n [-1, -2, -3, -2, 0],\n [-1, -3, -4, 3, -4],\n [0, 1, 5, -2, 1],\n [-5, 5, 5, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1938", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, -1, 4, -1],\n [-5, -1, 3, 2, 2],\n [-5, 5, -4, -4, 3],\n [-1, -1, -4, 5, 4],\n [-1, -2, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 5, -2, 0, -3],\n [2, 2, 1, -4, 1],\n [-2, 3, 0, -2, 5],\n [-3, -5, -4, -2, -3],\n [2, -4, -1, 3, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^4 where A is:\n[[1, -2, -2, 0, -2],\n [-2, 2, -2, 0, 0],\n [-2, -2, 4, -2, 2],\n [0, 0, -2, 0, 2],\n [-2, 0, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 3, -5, 1],\n [4, -5, -4, -3, 0],\n [-3, -5, 4, 5, -2],\n [3, -2, 3, -4, -5],\n [-5, 1, -5, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32437", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, 1, 0, -5],\n [2, -4, 4, -5, 3],\n [1, 4, 4, -4, -2],\n [0, -5, -4, 3, -2],\n [-5, 3, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "674", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, -4, 5, 3],\n [3, -5, 4, -4, -2],\n [-2, -4, 1, -1, 1],\n [1, -2, 4, 0, -4],\n [-1, -5, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -1, -5, -5, 2],\n [-1, -4, -1, 0, -3],\n [0, -2, 2, 1, 0],\n [-3, 0, -5, 1, -4],\n [-4, 3, -4, 2, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[5, -2, -2, 0, -2],\n [-2, 0, -2, 4, -4],\n [-2, -2, 3, 5, 0],\n [0, 4, 5, 0, -2],\n [-2, -4, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 3, 5, 5],\n [1, -3, -2, -3, 0],\n [0, 3, -4, 5, -1],\n [5, -1, 1, -3, 3],\n [-5, -1, -1, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43695", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 3, -2, -2, -1],\n [3, 4, 0, 1, 2],\n [-2, 0, -4, 3, 4],\n [-2, 1, 3, -1, -1],\n [-1, 2, 4, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -3, 0, -2],\n [-4, 0, -3, 5, -4],\n [0, -1, 5, -3, -4],\n [3, -3, -2, -5, -1],\n [2, 5, -5, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "592", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[5, 0, 4, -4, 0],\n [0, 2, 0, -2, 2],\n [4, 0, 3, -2, 2],\n [-4, -2, -2, -3, 0],\n [0, 2, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39803", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-5, -4, -2, -1, 2],\n [-4, -1, 2, 2, -4],\n [-2, 2, 1, -2, 2],\n [-1, 2, -2, -5, 0],\n [2, -4, 2, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 3, -3, 2],\n [0, -5, 5, -4, 4],\n [3, -2, 4, 2, 3],\n [3, 5, 0, 5, 5],\n [0, 4, 3, 5, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3957", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 3, 3, -4, 4],\n [4, -3, -5, 1, -4],\n [1, 0, 2, -4, 1],\n [0, 5, 4, 1, 0],\n [4, 3, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2, -3],\n [0, 1, -2, -4, 2],\n [0, -2, -4, 0, 0],\n [2, -4, 0, -2, -1],\n [-3, 2, 0, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[5, 2, 1, 3, -1],\n [2, 2, 2, 0, -2],\n [1, 2, 0, -2, -2],\n [3, 0, -2, 3, -4],\n [-1, -2, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, -2, 2, 2],\n [-1, 1, 1, -2, 0],\n [-2, 1, -1, -2, 2],\n [2, -2, -2, -2, -2],\n [2, 0, 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": "5468", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -1, 2, 3, -3],\n [-3, -1, 1, -5, 3],\n [-4, 2, -4, -4, -1],\n [-3, -3, -5, 1, 1],\n [0, 0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1845", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 3, 2, -5, -5],\n [-3, 1, 0, 0, 2],\n [5, 3, 3, 4, -5],\n [-3, 1, 2, -3, 3],\n [5, 4, 3, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "489", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 1, 2, -2],\n [-5, -5, -5, 2, 1],\n [1, 4, -2, 1, -4],\n [1, 4, -1, -2, 2],\n [0, -4, -2, 0, -5]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 5) of the result:\nA =\n[[-2, -4, 1, 2, 4],\n [-4, 5, 1, -4, 3],\n [1, 1, 0, -2, -2],\n [2, -4, -2, 1, -4],\n [4, 3, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2424", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0, 2, 0],\n [3, -1, -2, 0, 4],\n [0, -2, 1, 0, 2],\n [2, 0, 0, 5, -2],\n [0, 4, 2, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2601", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, 2, -5, 2],\n [-4, -4, -3, -2, 0],\n [2, 3, -2, -1, -4],\n [-4, 5, 5, 4, -4],\n [-4, 4, -5, 5, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "593", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-2, 4, 3, 4, 4],\n [1, -1, -5, -1, -2],\n [4, 1, 1, -4, 5],\n [-2, -5, -2, 0, -2],\n [2, -4, -3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -1, 0, -4],\n [0, 1, 3, 2, -2],\n [-1, 3, 4, 2, 3],\n [0, 2, 2, 1, 0],\n [-4, -2, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 5, -4, -5],\n [4, 0, -1, 3, -3],\n [-2, 0, -3, 2, 1],\n [-4, 1, 1, 4, 0],\n [4, -2, 1, 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": "1853", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[5, 2, 2, -2, 2],\n [2, 4, -2, -3, 0],\n [2, -2, 2, 2, 0],\n [-2, -3, 2, 5, 2],\n [2, 0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4053", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, 4, 5, 4],\n [-2, 0, 3, 0, -3],\n [1, 0, -4, 1, -5],\n [1, 2, 2, 5, -5],\n [-4, -3, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1444", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -4, 2, -4, 0],\n [1, -5, -4, -2, -1],\n [-5, 5, -1, -2, -1],\n [-3, 3, 3, -4, 5],\n [-1, 1, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -4, 2, 2, -2],\n [0, 0, 3, 5, 4],\n [2, -5, 4, 3, -1],\n [-2, 4, 4, 3, 0],\n [3, 2, 5, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "482", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 4, 0, -3, -1],\n [-3, 1, -3, 1, -4],\n [-1, 0, 3, 4, 0],\n [4, 3, 5, 3, -2],\n [-1, 2, 5, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 1, 0],\n [0, 4, -1, 0, -2],\n [0, -1, -5, 2, 2],\n [1, 0, 2, 2, 0],\n [0, -2, 2, 0, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 2, -1, 4],\n [0, 3, 2, -4, 3],\n [2, 2, -4, 0, 2],\n [-1, -4, 0, -1, -2],\n [4, 3, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16280", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 2, -4, -3],\n [-4, -4, -2, -1, -1],\n [2, -2, 4, 0, 1],\n [-4, -1, 0, -3, -1],\n [-3, -1, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3383", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) of the matrix A^4 where A is:\n[[-1, -4, 5, -3, 2],\n [-2, 5, 4, 5, 3],\n [-5, 0, 5, 0, 3],\n [-3, -1, -5, 3, 2],\n [5, 0, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "537", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 3, 0, 0],\n [0, 1, -2, 0, -2],\n [3, -2, 3, 1, -3],\n [0, 0, 1, 5, -2],\n [0, -2, -3, -2, -4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[5, 5, 3, 3, -4],\n [1, -1, -5, -1, -2],\n [-3, -3, 4, -3, -4],\n [-4, 3, 0, -4, -2],\n [-2, -5, -1, 5, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -5, -1, -2, -5],\n [4, -4, -5, -3, -1],\n [4, -3, -3, 5, 2],\n [-3, -1, 3, 5, 0],\n [4, -4, 3, 4, -5]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 0, 0, 4],\n [2, 3, 5, -1, 3],\n [4, 3, -3, 4, 0],\n [-3, -4, -4, -1, 1],\n [-4, 5, 2, -1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 2, -2, 4],\n [1, -5, 1, 0, 3],\n [2, 1, -4, 4, 0],\n [-2, 0, 4, 4, 3],\n [4, 3, 0, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14254", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, -4, 0, 2, 0],\n [-4, 5, 0, 2, -2],\n [0, 0, 4, -3, 2],\n [2, 2, -3, 5, 0],\n [0, -2, 2, 0, 1]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the 2th power of the matrix:\n[[2, 3, -1, 1, -4],\n [3, 3, 3, 2, 5],\n [-3, 2, -4, 0, -3],\n [2, -4, -2, 2, -3],\n [-2, -1, -5, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 4, -1, 1],\n [-4, -1, 3, -4, 0],\n [4, 3, 4, 0, 1],\n [-1, -4, 0, 3, 0],\n [1, 0, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-575", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -4, -2, 2],\n [5, 0, -5, 1, -3],\n [0, 1, -5, 2, -1],\n [-1, 0, -1, -1, -1],\n [-5, 0, 0, -4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1116", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, 2, 1, 2, -2],\n [2, 4, -2, 4, 0],\n [1, -2, -1, 4, 4],\n [2, 4, 4, 3, 2],\n [-2, 0, 4, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "390", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 4) of the result:\nA =\n[[5, -4, -4, 0, -2],\n [4, 0, -1, -1, 0],\n [-5, 1, 4, 3, 3],\n [4, 5, 1, 5, 4],\n [-4, 0, -3, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, 1, -2, 5, -2],\n [1, 0, 2, 0, 4],\n [-2, 2, -4, -1, 1],\n [5, 0, -1, 1, 0],\n [-2, 4, 1, 0, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -5, 5, -1, -3],\n [3, -1, 4, 4, 0],\n [-5, -1, -3, 3, 4],\n [2, 3, -4, -3, 4],\n [-2, 5, -2, -4, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39660", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, -1, 5, 2],\n [3, -3, 5, 5, 2],\n [-2, 3, -3, -4, 5],\n [-4, 3, -1, 1, 1],\n [-1, 2, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4010", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-5, 4, 3, -5, -2],\n [-2, 1, -1, 3, -2],\n [5, 3, -1, 3, -1],\n [-4, -2, 1, 3, 3],\n [2, -5, -3, -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": "3938", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, 5, -5, 1],\n [4, 2, 3, -2, -5],\n [-4, 0, -3, 4, 2],\n [-2, 2, 5, 1, 4],\n [-4, -1, -4, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6874", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 4, 2, -1, 2],\n [4, 1, 0, -3, -1],\n [2, 0, 4, 0, 1],\n [-1, -3, 0, -3, -2],\n [2, -1, 1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 4) of the result:\nA =\n[[1, 1, 2, 3, -3],\n [1, 1, -2, 2, -2],\n [2, -2, -4, 1, 0],\n [3, 2, 1, 2, -2],\n [-3, -2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 1, 0],\n [0, 1, 0, 2, 3],\n [0, 0, -2, -2, -3],\n [1, 2, -2, -1, 2],\n [0, 3, -3, 2, -5]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 4, -1, -4, 5],\n [-5, -4, 5, 2, 2],\n [0, 4, 2, 1, 3],\n [5, 1, 2, 4, 1],\n [-2, -2, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "398", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, 1, -4, -2, -1],\n [1, 4, 2, 2, -1],\n [-4, 2, -1, -2, -1],\n [-2, 2, -2, 5, 0],\n [-1, -1, -1, 0, 1]], determine the value at position (5, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, 0, 0, 2, 3],\n [0, -5, -2, -2, 3],\n [0, -2, 1, -4, -3],\n [2, -2, -4, 2, -3],\n [3, 3, -3, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8344", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, -2, -1, -4],\n [2, 4, 0, -2, 0],\n [-2, 0, 0, -1, -1],\n [-1, -2, -1, 0, 2],\n [-4, 0, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 2, 3, 2, -3],\n [2, 1, -2, -3, -2],\n [3, -2, 0, 4, 5],\n [2, -3, 4, 5, 4],\n [-3, -2, 5, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "853", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 1, -4, 4],\n [1, -2, -1, -2, -5],\n [1, 3, 2, -5, 3],\n [-4, 4, -1, 2, 1],\n [-1, 5, -2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11157", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[4, 2, 1, 4, 0],\n [2, -5, -2, 1, -4],\n [1, -2, -5, 2, -1],\n [4, 1, 2, 1, 0],\n [0, -4, -1, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[5, 5, 1, -4, 1],\n [-1, -5, -5, 1, 1],\n [-4, 1, -4, 1, -2],\n [-5, 2, -1, 1, 3],\n [1, 4, -3, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "975", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-2, 2, -1, 0, 2],\n [2, 2, 0, 0, 2],\n [-1, 0, 5, -2, 0],\n [0, 0, -2, -5, 4],\n [2, 2, 0, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, -2, 5],\n [-2, -2, -2, -1, 4],\n [0, -2, -4, 0, -2],\n [-2, -1, 0, -4, 0],\n [5, 4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15039", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, -3, 3, 2],\n [1, -1, 1, -2, -2],\n [-3, 1, -4, 0, -2],\n [3, -2, 0, 0, 0],\n [2, -2, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -5, -1, 0, 4],\n [4, -5, 0, 1, 1],\n [3, -3, -2, 2, 3],\n [-2, 2, 0, -3, 3],\n [-2, 5, 5, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 1, 1, 2, 2],\n [5, 5, -5, -4, 0],\n [-5, 5, -5, 3, 3],\n [-3, 2, 4, 5, 4],\n [2, 5, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 5, -5, 4, 4],\n [5, -3, -4, 1, -1],\n [0, 1, 3, 0, 5],\n [-3, -4, 2, -2, -5],\n [-2, -4, 0, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -2, 2, 4],\n [-2, 1, -1, 1, 2],\n [-2, -1, 1, -1, 0],\n [2, 1, -1, -1, 4],\n [4, 2, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "307", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, 0, -2, -5],\n [-2, -2, -2, 3, 3],\n [0, -3, -2, 0, -4],\n [1, 2, 2, 5, -2],\n [2, 5, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1955", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, 4, 4, -2],\n [2, -2, 4, 4, 4],\n [3, -4, -4, -3, -2],\n [5, 1, -3, 3, -2],\n [-2, 4, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11606", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, 2, 0, -4, 3],\n [2, 1, 2, 2, 0],\n [0, 2, 5, -4, 4],\n [-4, 2, -4, 1, -1],\n [3, 0, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the 4th power of the matrix:\n[[-3, -2, 0, -4, -1],\n [-2, 4, 4, 1, -2],\n [0, 4, 0, 0, 2],\n [-4, 1, 0, 4, -4],\n [-1, -2, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1818", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -4, 5, 1, 0],\n [-1, 4, 1, 2, -3],\n [5, -4, -5, -4, -4],\n [4, 2, -5, -3, 2],\n [-5, 4, -1, 1, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6850", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 1, 0],\n [0, -1, -2, -2, -2],\n [0, -2, -3, 3, 0],\n [1, -2, 3, -3, -2],\n [0, -2, 0, -2, -5]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-316", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[5, 2, 0, 0, 2],\n [2, 4, -2, 0, 0],\n [0, -2, -3, -1, 4],\n [0, 0, -1, 4, -4],\n [2, 0, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 0, 0, -3],\n [-2, 1, -3, 0, 0],\n [0, -3, -3, 4, 0],\n [0, 0, 4, -1, 3],\n [-3, 0, 0, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14304", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 0, -1, 0],\n [0, -4, 4, 5, 0],\n [0, 4, 4, 0, 0],\n [-1, 5, 0, 3, 0],\n [0, 0, 0, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12768", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[5, 4, 0, 1, 4],\n [4, 5, 2, 0, 0],\n [0, 2, 2, 1, -2],\n [1, 0, 1, 3, 5],\n [4, 0, -2, 5, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63413", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -5, -4, -1, -5],\n [-5, 1, 0, 1, 5],\n [-1, -1, -1, -1, 4],\n [-3, -1, -4, 3, 0],\n [4, -3, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1230", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 2th power of the matrix:\n[[-5, -3, -3, 4, -4],\n [1, -4, 2, 5, 5],\n [5, -3, 1, 3, -5],\n [4, -1, 4, -3, -4],\n [-2, 4, 5, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -5, 5, -5, 0],\n [-1, 3, 3, 1, -3],\n [-2, 5, -5, -3, 3],\n [-4, 1, -4, 1, -4],\n [3, 5, -5, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-595", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -4, 0, 4, 2],\n [-4, 3, 2, 0, -4],\n [0, 2, 4, 2, 4],\n [4, 0, 2, 2, 1],\n [2, -4, 4, 1, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "651", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -5, 2, 2, 1],\n [-5, -2, 0, -1, -4],\n [-2, 5, -3, 5, 0],\n [0, 2, 5, 1, 3],\n [-2, 0, 4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5877", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -3, -2, -5, -5],\n [3, 4, 2, 1, 3],\n [-5, 3, 0, 5, 0],\n [-1, -4, 1, -4, -3],\n [-1, 2, -5, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "421", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, 4, 3, 4, -2],\n [-2, 0, 1, 4, -4],\n [-4, 3, 1, 4, 5],\n [0, -2, 5, 1, 5],\n [-4, -5, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 1, -2, 2],\n [-2, 0, 0, 2, 0],\n [1, 0, -2, 2, 0],\n [-2, 2, 2, -4, 4],\n [2, 0, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -2, 0, -3, -1],\n [-2, 3, 0, -3, -2],\n [0, 0, 4, -4, 2],\n [-3, -3, -4, -1, -4],\n [-1, -2, 2, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18274", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, 3, 0, -4, -4],\n [-2, -5, 3, 3, 2],\n [1, 3, 0, 2, 2],\n [-3, 3, 1, -3, 4],\n [-1, 0, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "878", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 4, 0, 0],\n [2, -5, -2, 2, 0],\n [4, -2, -3, -2, 3],\n [0, 2, -2, -5, -4],\n [0, 0, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 2, -1, 0],\n [-4, 4, -4, -2, 1],\n [2, -4, 2, -2, -2],\n [-1, -2, -2, -4, -2],\n [0, 1, -2, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "439", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-2, 0, 2, -3, -3],\n [-1, 4, 0, 1, 3],\n [-3, -1, -3, -2, 4],\n [4, -5, -2, -3, 3],\n [-1, -5, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, 5, 1, 0],\n [-3, -5, 1, -2, 3],\n [-1, 4, 1, -4, 2],\n [3, -5, -5, 4, 2],\n [-1, -2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-632", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 1, 5, -2],\n [-5, 0, -1, 2, 5],\n [-4, -5, -5, -3, -4],\n [0, 1, 1, 2, 5],\n [-3, 5, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1050", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -5, 4, -3, -1],\n [-3, 3, -3, -5, 0],\n [-3, 1, -3, -1, -1],\n [3, 4, -5, 1, 5],\n [4, -1, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, 3, 3, -2],\n [-5, -2, -4, 4, 1],\n [3, -1, -1, -2, -5],\n [-1, -1, 0, 3, 2],\n [1, 5, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "313", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 1, 3, 0],\n [-2, -3, 4, 0, -2],\n [1, 4, 1, 2, 2],\n [3, 0, 2, -2, -1],\n [0, -2, 2, -1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6210", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -1, 2, 1],\n [-1, 4, 0, 2, 2],\n [-1, 0, -2, 1, 0],\n [2, 2, 1, -5, -1],\n [1, 2, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "251", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 4, -5, 1],\n [4, -1, -4, -2, -1],\n [-1, 3, 4, -1, 0],\n [3, 4, -5, -4, 2],\n [3, -1, -4, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "628", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-5, 4, -3, -3, 1],\n [0, 0, -5, -1, -3],\n [2, 2, 2, 3, 4],\n [3, 1, 1, -1, 4],\n [-5, 2, -1, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, -3, 5, 5],\n [1, -1, 5, 3, -2],\n [3, 0, -2, 4, 0],\n [0, 3, -3, -3, -5],\n [2, -4, 3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3079", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 2, -4, -1],\n [-2, 5, 0, -3, 4],\n [2, 0, 3, -2, -4],\n [-4, -3, -2, -1, 0],\n [-1, 4, -4, 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": "23850", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, 1, -2, 0],\n [5, -2, -5, -4, 2],\n [3, -1, 5, -2, -4],\n [3, 0, 5, 3, 3],\n [-1, -4, 2, 1, -5]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, -3, 0, -5],\n [2, -2, 0, 3, 4],\n [-1, 0, 4, 0, -3],\n [3, -5, 4, 5, -1],\n [5, -2, 3, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1327", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -5, -4, 5, 4],\n [1, 1, -4, -1, -1],\n [2, 5, 3, -1, 4],\n [5, -1, -5, 2, 5],\n [4, 1, 5, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23058", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-4, 1, 2, -3, 5],\n [-3, 3, -1, -5, -2],\n [-1, -1, 2, -5, 3],\n [-5, -5, -1, -2, -3],\n [2, 3, -5, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -2, 2, 0, -2],\n [-2, -4, 2, -2, 0],\n [2, 2, -1, 0, 0],\n [0, -2, 0, -2, -2],\n [-2, 0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4433", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-5, 2, -2, 1, -2],\n [2, 0, -2, 0, 0],\n [-2, -2, -5, 0, 2],\n [1, 0, 0, 2, 0],\n [-2, 0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[0, 3, 0, -2, 3],\n [3, -3, 1, 2, 3],\n [0, 1, 0, -2, -2],\n [-2, 2, -2, 3, 2],\n [3, 3, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-402", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 1, -2, 1],\n [-2, 4, 4, -2, 0],\n [1, 4, 3, 2, 0],\n [-2, -2, 2, 2, -3],\n [1, 0, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, 1, 1, 0, -2],\n [1, 5, -4, 0, 0],\n [1, -4, -5, 0, 2],\n [0, 0, 0, 0, 2],\n [-2, 0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[1, 4, 2, 0, 2],\n [4, -4, 4, -4, 0],\n [2, 4, -5, 2, 2],\n [0, -4, 2, 2, -4],\n [2, 0, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-424", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[4, -2, 3, -3, -2],\n [-2, 1, 0, -2, -2],\n [3, 0, 1, -5, -2],\n [-3, -2, -5, 5, 0],\n [-2, -2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 2, 1, -2, -5],\n [-5, 2, -1, -4, -3],\n [3, 5, -4, 4, 1],\n [-4, -3, -5, 1, 4],\n [-1, -5, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -5, 2, -3],\n [-3, 4, -4, -2, -5],\n [3, 0, 0, 5, 0],\n [-5, -3, 0, 3, 1],\n [3, 4, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "442", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 4, 4, 4, -1],\n [4, 2, 0, 2, -2],\n [4, 0, -2, 1, -1],\n [4, 2, 1, 1, 4],\n [-1, -2, -1, 4, -1]], determine the value at position (3, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 5, 0, 2, -5],\n [-4, 5, 3, 3, 3],\n [2, 0, 5, -4, -4],\n [-1, -2, 0, -2, -3],\n [4, 0, -4, -1, -3]], determine the value at position (5, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 3, -4, 0, -4],\n [-2, -1, -5, -5, -3],\n [-3, 2, 4, 2, -1],\n [-4, 0, 1, 3, -3],\n [4, 4, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9672", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (5, 4) of the result:\nA =\n[[-1, 2, -2, 2, -3],\n [2, 3, -5, 1, 2],\n [-2, -5, 3, 0, -1],\n [2, 1, 0, -5, 0],\n [-3, 2, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-4, 0, 1, 5, 0],\n [-1, -2, 3, 4, -3],\n [1, -2, -1, 4, 3],\n [0, 3, 2, -2, -2],\n [0, -2, 2, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 2, 5, 5],\n [4, -1, 2, 4, -3],\n [5, 2, 0, 1, 0],\n [4, -4, -5, 3, 5],\n [4, 1, 3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32671", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[5, -1, 2, 4, 1],\n [5, 4, 0, 1, 5],\n [-5, 2, 4, -5, 0],\n [3, 5, 5, -3, 0],\n [1, 5, -4, -5, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4726", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[5, 3, 3, 1, 0],\n [-1, 4, 4, 2, 3],\n [2, 2, 1, 5, 5],\n [0, 0, -4, 5, 1],\n [2, 2, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17788", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 2, -4, -1, 2],\n [2, -3, 4, 1, -2],\n [-4, 4, -1, 2, 0],\n [-1, 1, 2, -3, 1],\n [2, -2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -4, 0, -4, -3],\n [-4, 4, -2, 2, 0],\n [0, -2, 2, -2, -1],\n [-4, 2, -2, -2, 0],\n [-3, 0, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 0, 1, 2],\n [5, -5, -3, 0, -4],\n [4, -1, -1, 2, -4],\n [4, 2, 4, 3, -5],\n [-1, 4, 2, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3066", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, -1, 0, 1],\n [-2, 1, -4, 0, -2],\n [-1, -4, -3, 0, -2],\n [0, 0, 0, 0, 4],\n [1, -2, -2, 4, -1]], determine the value at position (5, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -3, 0, 0, -1],\n [1, 1, 4, 2, 0],\n [-5, -4, -2, -2, -2],\n [-4, -2, 5, -1, 4],\n [1, 0, 5, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14325", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 4, 3, 5, 4],\n [2, 1, -5, -3, 4],\n [2, 4, 3, 5, 0],\n [-1, 0, -4, 2, 3],\n [0, 2, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 1, 1, -1],\n [-1, 0, -5, 0, -3],\n [0, 2, 4, 1, -5],\n [0, -4, 5, -3, 2],\n [-5, -3, -5, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-4, 5, 4, -4, -2],\n [-3, 2, 3, 5, -3],\n [2, 1, 0, -2, 1],\n [-5, 3, -4, -5, 0],\n [1, -3, 3, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2356", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 2, -2, 0],\n [0, 1, 5, 1, 5],\n [-5, -4, 2, -5, 4],\n [0, -3, 1, -5, -5],\n [-2, -5, -3, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1187", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2, 2, 4],\n [0, -5, -2, 2, 0],\n [-2, -2, 4, -3, -2],\n [2, 2, -3, 1, -1],\n [4, 0, -2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, 4, 4, 4, -2],\n [4, 5, 2, -2, 0],\n [4, 2, 1, 0, -2],\n [4, -2, 0, 4, 0],\n [-2, 0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10448", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) of the matrix A^3 where A is:\n[[2, -3, 1, -2, 0],\n [-3, 5, 1, 0, 1],\n [1, 1, 0, 4, -1],\n [-2, 0, 4, -1, 0],\n [0, 1, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 2) of the result:\nA =\n[[-4, -2, 0, -1, 4],\n [-5, 1, 4, 0, -2],\n [4, -4, -4, -2, 0],\n [-5, 1, 4, 0, -4],\n [-3, -4, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 1, 0, 2],\n [-4, -5, 0, -1, -1],\n [1, 0, -2, -2, 1],\n [0, -1, -2, 0, -3],\n [2, -1, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1477", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-5, 4, 3, -5, 0],\n [3, 0, 2, 0, 1],\n [3, -2, 1, -1, 2],\n [1, 5, -2, -1, -5],\n [5, 0, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2660", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, -1, 3, -5],\n [0, 5, 4, -4, 0],\n [-2, 5, -1, -2, 0],\n [0, 0, -4, 2, -1],\n [-4, 4, 0, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6089", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, -4, 3, -4],\n [2, 0, 2, -4, 4],\n [3, -2, 5, 3, 0],\n [-2, -2, 5, 3, -1],\n [-4, 5, 4, -4, 4]], determine the value at position (3, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}