mirror of
https://github.com/InternLM/InternBootcamp.git
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a8249acc18
* feat(run_eval): add checkpoint resume functionality and update example documentation; - update new bootcamp benchmark dataset * refactor(data_pipeline): optimize data generation pipeline; add multiple preset configurations for data generation * docs: update bootcamp list and add new scripts - Update Fulllist_InternBootcamp.md with new bootcamps and categories - Add new scripts to .gitignore: - examples/pipelines/filter_autogen_configs.py - examples/pipelines/quickgen_data_configs_from_eval_meta.py - Update dependencies in setup.py: - Add scipy and scikit-learn * refactor(internbootcamp): update bootcamp modules and improve error handling - Update import statements in __init__.py files - Add timestamp to target directory name in verl_data_preprocess.py - Improve error handling and scoring logic in bootcamp_judger.py - Remove unnecessary comments and update puzzle descriptions in multiple files
100 lines
40 KiB
JSON
100 lines
40 KiB
JSON
{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 102￠102.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [102, 102], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠3944312 = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 3944312], "target": "10/3", "solution": 158}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 8741816￠X = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [8741816, "X"], "target": "10/3", "solution": 206}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 6￠6￠36.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [6, 6, 36], "target": "5/2", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 154￠154.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [154, 154], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 36￠36.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [36, 36], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠119 = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 119], "target": "2/1", "solution": 119}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠2560000 = 17/4, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 2560000], "target": "17/4", "solution": 40}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 6250000￠X = 17/4, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [6250000, "X"], "target": "17/4", "solution": 50}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠9409 = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 9409], "target": "5/2", "solution": 97}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠10556001 = 17/4, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 10556001], "target": "17/4", "solution": 57}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 6￠6.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [6, 6], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 230￠X = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [230, "X"], "target": "2/1", "solution": 230}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠2304 = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 2304], "target": "5/2", "solution": 48}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 179￠87.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [179, 87], "log_expr": "\\log_{87}{179} + \\log_{179}{87}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠47458321 = 17/4, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 47458321], "target": "17/4", "solution": 83}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 3600￠X = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [3600, "X"], "target": "5/2", "solution": 60}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 226￠226.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [226, 226], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 112￠162.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [112, 162], "log_expr": "\\log_{162}{112} + \\log_{112}{162}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 57￠X = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [57, "X"], "target": "2/1", "solution": 57}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 81￠3.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [81, 3], "target": "17/4", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 196￠196.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [196, 196], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠46 = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 46], "target": "2/1", "solution": 46}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 183￠183￠33489.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [183, 183, 33489], "target": "5/2", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 321￠318.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [321, 318], "log_expr": "\\log_{318}{321} + \\log_{321}{318}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 167￠167.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [167, 167], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 271￠271￠19902511.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [271, 271, 19902511], "target": "10/3", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 56￠167.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [56, 167], "log_expr": "\\log_{167}{56} + \\log_{56}{167}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 55￠55.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [55, 55], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠12769 = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 12769], "target": "5/2", "solution": 113}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 341￠33.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [341, 33], "log_expr": "\\log_{33}{341} + \\log_{341}{33}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 62742241￠X = 17/4, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [62742241, "X"], "target": "17/4", "solution": 89}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 9￠3.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [9, 3], "target": "5/2", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠208 = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 208], "target": "2/1", "solution": 208}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠970299 = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 970299], "target": "10/3", "solution": 99}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 224￠224￠224.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [224, 224, 224], "target": "2", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 130￠130￠2197000.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [130, 130, 2197000], "target": "10/3", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 126￠126.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [126, 126], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 50￠X = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [50, "X"], "target": "2/1", "solution": 50}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 163￠186.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [163, 186], "log_expr": "\\log_{186}{163} + \\log_{163}{186}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 205￠205.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [205, 205], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 86￠86￠7396.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [86, 86, 7396], "target": "5/2", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 2025￠X = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [2025, "X"], "target": "5/2", "solution": 45}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 29241￠X = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [29241, "X"], "target": "5/2", "solution": 171}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 36￠6.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [36, 6], "target": "5/2", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 39204￠X = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [39204, "X"], "target": "5/2", "solution": 198}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠16129 = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 16129], "target": "5/2", "solution": 127}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 384￠51.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [384, 51], "log_expr": "\\log_{51}{384} + \\log_{384}{51}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠117649 = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 117649], "target": "10/3", "solution": 49}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 237￠237￠3154956561.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [237, 237, 3154956561], "target": "17/4", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 139￠X = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [139, "X"], "target": "2/1", "solution": 139}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 237￠X = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [237, "X"], "target": "2/1", "solution": 237}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 20￠20￠400.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [20, 20, 400], "target": "5/2", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 34￠86.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [34, 86], "log_expr": "\\log_{86}{34} + \\log_{34}{86}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 66￠66.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [66, 66], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠141 = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 141], "target": "2/1", "solution": 141}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 140￠X = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [140, "X"], "target": "2/1", "solution": 140}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 7921￠X = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [7921, "X"], "target": "5/2", "solution": 89}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 343￠7.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [343, 7], "target": "10/3", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 49￠49.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [49, 49], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 6400￠X = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [6400, "X"], "target": "5/2", "solution": 80}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 169￠110.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [169, 110], "log_expr": "\\log_{110}{169} + \\log_{169}{110}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 2299968￠X = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [2299968, "X"], "target": "10/3", "solution": 132}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 19￠19.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [19, 19], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 103￠X = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [103, "X"], "target": "2/1", "solution": 103}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 166￠76.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [166, 76], "log_expr": "\\log_{76}{166} + \\log_{166}{76}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 741200625￠X = 17/4, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [741200625, "X"], "target": "17/4", "solution": 165}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 12321￠X = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [12321, "X"], "target": "5/2", "solution": 111}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 10793861￠X = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [10793861, "X"], "target": "10/3", "solution": 221}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 209￠209.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [209, 209], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 37￠37.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [37, 37], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 91￠218.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [91, 218], "log_expr": "\\log_{218}{91} + \\log_{91}{218}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 255￠255.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [255, 255], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 116￠142.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [116, 142], "log_expr": "\\log_{142}{116} + \\log_{116}{142}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠65025 = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 65025], "target": "5/2", "solution": 255}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠4 = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 4], "target": "5/2", "solution": 2}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 117￠101.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [117, 101], "log_expr": "\\log_{101}{117} + \\log_{117}{101}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠194 = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 194], "target": "2/1", "solution": 194}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 1146228736￠X = 17/4, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [1146228736, "X"], "target": "17/4", "solution": 184}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 6751269￠X = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [6751269, "X"], "target": "10/3", "solution": 189}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 44￠X = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [44, "X"], "target": "2/1", "solution": 44}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 13824000￠X = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [13824000, "X"], "target": "10/3", "solution": 240}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠70 = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 70], "target": "2/1", "solution": 70}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 2702336256￠X = 17/4, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [2702336256, "X"], "target": "17/4", "solution": 228}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 443￠291.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [443, 291], "log_expr": "\\log_{291}{443} + \\log_{443}{291}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 12167000￠X = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [12167000, "X"], "target": "10/3", "solution": 230}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 14￠181.\nIf the answer cannot be reduced to an integer or fraction then retain the form \\log_{b}{a}+\\log_{a}{b}.\nPlease provide your answer in LaTeX format. Please wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [14, 181], "log_expr": "\\log_{181}{14} + \\log_{14}{181}", "is_expressible": false}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠1874161 = 17/4, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 1874161], "target": "17/4", "solution": 37}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 467￠467.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [467, 467], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 359￠359.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [359, 359], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠119 = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 119], "target": "2/1", "solution": 119}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf X￠3481 = 5/2, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": ["X", 3481], "target": "5/2", "solution": 59}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 83￠X = 2/1, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [83, "X"], "target": "2/1", "solution": 83}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 238￠238￠13481272.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [238, 238, 13481272], "target": "10/3", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 85￠85.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [85, 85], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 142￠142.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [142, 142], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nIf 343000￠X = 10/3, find X.\nThe answer should only be given as a number.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "solve", "equation": [343000, "X"], "target": "10/3", "solution": 70}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 277￠277￠277.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [277, 277, 277], "target": "2", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 251￠251.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [251, 251], "target": "2/1", "is_expressible": true}}
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{"data_source": "KorOperationUnicodeffe0", "prompt": "a￠b=\\log_{b}{a}+\\log_{a}{b}.\na and b are positive integers.\nCompute 119￠119.\nIf the answer is a fraction, write it in 'a/b' text format. Decimals are not allowed.\nPlease wrap the answer in double square brackets, like this: [[your answer]].", "ground_truth": {"type": "compute", "expression": [119, 119], "target": "2/1", "is_expressible": true}}
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