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- {"messages": [{"content": "Let A be the following matrix:\n[ 1 1 -1 0]\n[ 1 1 -1 -1]\n[ 0 0 -1 1]\n[ 1 0 0 0]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 7. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[2, 3, 0, -2, -10, -17, -33]", "dataset": "MATH"}
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- {"messages": [{"content": "Let A be the following matrix:\n[ 1 -1 0 1]\n[-1 -1 0 1]\n[ 0 0 0 1]\n[ 0 -1 -1 -1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 8. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[-2, -4, 18, -18, -2, 66, -102, 58]", "dataset": "MATH"}
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- {"messages": [{"content": "Let A be the following matrix:\n[ 0 -1 0 1]\n[ 1 -1 1 -1]\n[ 0 0 -1 -1]\n[-1 1 1 1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 9. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[0, -2, 4, -6, 2, 4, 6, -14, -24]", "dataset": "MATH"}
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- {"messages": [{"content": "Let A be the following matrix:\n[-1 1 0 0]\n[-1 0 -1 -1]\n[ 0 -1 1 0]\n[ 0 1 1 0]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 8. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[-1, -5, 10, 5, -17, 20, 35, -41]", "dataset": "MATH"}
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- {"messages": [{"content": "Let A be the following matrix:\n[-1 0 0 1]\n[-1 0 0 1]\n[-1 -1 0 -1]\n[-1 0 -1 0]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 7. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[-5, 1, 11, -26, 29, 4, -82]", "dataset": "MATH"}
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- {"messages": [{"content": "Let A be the following matrix:\n[ 1 1 1 -1]\n[ 1 -1 -1 1]\n[ 1 -1 1 -1]\n[-1 1 0 1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 8. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[3, 4, 3, 12, 11, 68, 83, 444]", "dataset": "MATH"}
7
- {"messages": [{"content": "Let A be the following matrix:\n[-1 0 -1 1]\n[ 1 -1 1 -1]\n[-1 -1 1 1]\n[ 0 1 1 -1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 7. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[0, 1, 4, 0, 7, 16, -24]", "dataset": "MATH"}
8
- {"messages": [{"content": "Let A be the following matrix:\n[-1 1 -1 0]\n[ 0 0 -1 0]\n[-1 1 0 1]\n[ 1 1 0 1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 8. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[2, 2, -6, -10, -14, -2, 18, 46]", "dataset": "MATH"}
9
- {"messages": [{"content": "Let A be the following matrix:\n[-1 0 0 1]\n[ 0 1 -1 -1]\n[ 0 1 0 -1]\n[ 1 -1 0 -1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 9. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[-2, 1, -4, 6, -14, 33, -69, 157, -347]", "dataset": "MATH"}
 
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+ {"messages": [{"content": "Let A be the following matrix:\n[ 1 1 -1 0]\n[ 1 1 -1 -1]\n[ 0 0 -1 1]\n[ 1 0 0 0]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 7. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[2, 3, 0, -2, -10, -17, -33]", "dataset": "FINEGRAINED"}
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+ {"messages": [{"content": "Let A be the following matrix:\n[ 1 -1 0 1]\n[-1 -1 0 1]\n[ 0 0 0 1]\n[ 0 -1 -1 -1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 8. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[-2, -4, 18, -18, -2, 66, -102, 58]", "dataset": "FINEGRAINED"}
3
+ {"messages": [{"content": "Let A be the following matrix:\n[ 0 -1 0 1]\n[ 1 -1 1 -1]\n[ 0 0 -1 -1]\n[-1 1 1 1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 9. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[0, -2, 4, -6, 2, 4, 6, -14, -24]", "dataset": "FINEGRAINED"}
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+ {"messages": [{"content": "Let A be the following matrix:\n[-1 1 0 0]\n[-1 0 -1 -1]\n[ 0 -1 1 0]\n[ 0 1 1 0]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 8. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[-1, -5, 10, 5, -17, 20, 35, -41]", "dataset": "FINEGRAINED"}
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+ {"messages": [{"content": "Let A be the following matrix:\n[-1 0 0 1]\n[-1 0 0 1]\n[-1 -1 0 -1]\n[-1 0 -1 0]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 7. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[-5, 1, 11, -26, 29, 4, -82]", "dataset": "FINEGRAINED"}
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+ {"messages": [{"content": "Let A be the following matrix:\n[ 1 1 1 -1]\n[ 1 -1 -1 1]\n[ 1 -1 1 -1]\n[-1 1 0 1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 8. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[3, 4, 3, 12, 11, 68, 83, 444]", "dataset": "FINEGRAINED"}
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+ {"messages": [{"content": "Let A be the following matrix:\n[-1 0 -1 1]\n[ 1 -1 1 -1]\n[-1 -1 1 1]\n[ 0 1 1 -1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 7. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[0, 1, 4, 0, 7, 16, -24]", "dataset": "FINEGRAINED"}
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+ {"messages": [{"content": "Let A be the following matrix:\n[-1 1 -1 0]\n[ 0 0 -1 0]\n[-1 1 0 1]\n[ 1 1 0 1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 8. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[2, 2, -6, -10, -14, -2, 18, 46]", "dataset": "FINEGRAINED"}
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+ {"messages": [{"content": "Let A be the following matrix:\n[-1 0 0 1]\n[ 0 1 -1 -1]\n[ 0 1 0 -1]\n[ 1 -1 0 -1]\n\nCalculate the sum of all entries for the matrix powers A^k for k = 1 to 9. Return the results as a list of integers in the Python format.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "[-2, 1, -4, 6, -14, 33, -69, 157, -347]", "dataset": "FINEGRAINED"}