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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
53 KiB
JSON
100 lines
53 KiB
JSON
{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 5♂(13♀4).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 5, "b": 13, "c": 4, "correct_answer": {"numerator": 57, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 10♂(14♀4).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 10, "b": 14, "c": 4, "correct_answer": {"numerator": 49, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (21♀19)♂22.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 21, "b": 19, "c": 22, "correct_answer": {"numerator": 102, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀8)♂15 = 16, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 8, "B": 15, "result": 16, "correct_answer": {"numerator": -15, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 6♂(7♀3).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 6, "b": 7, "c": 3, "correct_answer": {"numerator": 29, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(20♀22) = 24, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 20, "B": 22, "result": 24, "correct_answer": {"numerator": 3, "denominator": 4}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(5♀7) = 0, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 5, "B": 7, "result": 0, "correct_answer": {"numerator": -3, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (4♀15)♂16.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 4, "b": 15, "c": 16, "correct_answer": {"numerator": 54, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (4♀3)♂7.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 4, "b": 3, "c": 7, "correct_answer": {"numerator": 21, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (1♀3)♂17.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 1, "b": 3, "c": 17, "correct_answer": {"numerator": 25, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 12♂(15♀2).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 12, "b": 15, "c": 2, "correct_answer": {"numerator": 113, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 3♂(5♀17).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 3, "b": 5, "c": 17, "correct_answer": {"numerator": 23, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (29♀14)♂28.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 29, "b": 14, "c": 28, "correct_answer": {"numerator": 114, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(8♀20) = 16, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 8, "B": 20, "result": 16, "correct_answer": {"numerator": 1, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(8♀1) = 18, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 8, "B": 1, "result": 18, "correct_answer": {"numerator": 27, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 17♂(17♀15).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 17, "b": 17, "c": 15, "correct_answer": {"numerator": 84, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀8)♂3 = 10, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 8, "B": 3, "result": 10, "correct_answer": {"numerator": -9, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (18♀9)♂17.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 18, "b": 9, "c": 17, "correct_answer": {"numerator": 71, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 0♂(7♀3).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 0, "b": 7, "c": 3, "correct_answer": {"numerator": 5, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 6♂(7♀2).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 6, "b": 7, "c": 2, "correct_answer": {"numerator": 57, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (12♀3)♂3.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 12, "b": 3, "c": 3, "correct_answer": {"numerator": 33, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀14)♂12 = 2, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 14, "B": 12, "result": 2, "correct_answer": {"numerator": -19, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (4♀14)♂9.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 4, "b": 14, "c": 9, "correct_answer": {"numerator": 45, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (9♀19)♂19.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 9, "b": 19, "c": 19, "correct_answer": {"numerator": 75, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(4♀5) = 7, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 4, "B": 5, "result": 7, "correct_answer": {"numerator": 5, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (18♀1)♂12.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 18, "b": 1, "c": 12, "correct_answer": {"numerator": 50, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀17)♂22 = 5, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 17, "B": 22, "result": 5, "correct_answer": {"numerator": -51, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 12♂(3♀4).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 12, "b": 3, "c": 4, "correct_answer": {"numerator": 103, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀20)♂8 = 11, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 20, "B": 8, "result": 11, "correct_answer": {"numerator": -37, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(13♀11) = 43, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 13, "B": 11, "result": 43, "correct_answer": {"numerator": 31, "denominator": 4}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (8♀7)♂2.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 8, "b": 7, "c": 2, "correct_answer": {"numerator": 32, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(8♀11) = 45, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 8, "B": 11, "result": 45, "correct_answer": {"numerator": 71, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀15)♂24 = 7, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 15, "B": 24, "result": 7, "correct_answer": {"numerator": -47, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 20♂(26♀6).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 20, "b": 26, "c": 6, "correct_answer": {"numerator": 96, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (2♀2)♂9.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 2, "b": 2, "c": 9, "correct_answer": {"numerator": 17, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀7)♂16 = 22, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 7, "B": 16, "result": 22, "correct_answer": {"numerator": -4, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 0♂(5♀10).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 0, "b": 5, "c": 10, "correct_answer": {"numerator": 15, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀11)♂14 = 28, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 11, "B": 14, "result": 28, "correct_answer": {"numerator": -4, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀12)♂1 = 29, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 12, "B": 1, "result": 29, "correct_answer": {"numerator": 2, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (15♀14)♂10.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 15, "b": 14, "c": 10, "correct_answer": {"numerator": 68, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀7)♂15 = 30, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 7, "B": 15, "result": 30, "correct_answer": {"numerator": 1, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 5♂(11♀11).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 5, "b": 11, "c": 11, "correct_answer": {"numerator": 31, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (10♀27)♂12.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 10, "b": 27, "c": 12, "correct_answer": {"numerator": 86, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 8♂(9♀26).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 8, "b": 9, "c": 26, "correct_answer": {"numerator": 99, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (14♀15)♂14.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 14, "b": 15, "c": 14, "correct_answer": {"numerator": 72, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀1)♂13 = 5, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 1, "B": 13, "result": 5, "correct_answer": {"numerator": -5, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (5♀2)♂4.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 5, "b": 2, "c": 4, "correct_answer": {"numerator": 18, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (26♀14)♂27.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 26, "b": 14, "c": 27, "correct_answer": {"numerator": 107, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (20♀13)♂2.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 20, "b": 13, "c": 2, "correct_answer": {"numerator": 68, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (19♀15)♂19.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 19, "b": 15, "c": 19, "correct_answer": {"numerator": 87, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(14♀13) = 11, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 14, "B": 13, "result": 11, "correct_answer": {"numerator": -5, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(2♀4) = 11, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 2, "B": 4, "result": 11, "correct_answer": {"numerator": 2, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(4♀6) = 9, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 4, "B": 6, "result": 9, "correct_answer": {"numerator": 1, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 9♂(20♀19).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 9, "b": 20, "c": 19, "correct_answer": {"numerator": 111, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀11)♂5 = 19, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 11, "B": 5, "result": 19, "correct_answer": {"numerator": -4, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(21♀3) = 9, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 21, "B": 3, "result": 9, "correct_answer": {"numerator": -3, "denominator": 4}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀24)♂25 = 22, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 24, "B": 25, "result": 22, "correct_answer": {"numerator": -51, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 3♂(8♀9).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 3, "b": 8, "c": 9, "correct_answer": {"numerator": 41, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (5♀6)♂3.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 5, "b": 6, "c": 3, "correct_answer": {"numerator": 25, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀1)♂19 = 20, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 1, "B": 19, "result": 20, "correct_answer": {"numerator": -1, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 3♂(9♀13).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 3, "b": 9, "c": 13, "correct_answer": {"numerator": 23, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (11♀14)♂8.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 11, "b": 14, "c": 8, "correct_answer": {"numerator": 58, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀1)♂5 = 3, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 1, "B": 5, "result": 3, "correct_answer": {"numerator": -2, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 10♂(2♀4).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 10, "b": 2, "c": 4, "correct_answer": {"numerator": 43, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 8♂(10♀3).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 8, "b": 10, "c": 3, "correct_answer": {"numerator": 77, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(3♀3) = 26, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 3, "B": 3, "result": 26, "correct_answer": {"numerator": 23, "denominator": 4}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(5♀14) = 37, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 5, "B": 14, "result": 37, "correct_answer": {"numerator": 55, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(3♀8) = 6, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 3, "B": 8, "result": 6, "correct_answer": {"numerator": 1, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀19)♂15 = 26, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 19, "B": 15, "result": 26, "correct_answer": {"numerator": -27, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀18)♂13 = 4, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 18, "B": 13, "result": 4, "correct_answer": {"numerator": -45, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀5)♂9 = 32, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 5, "B": 9, "result": 32, "correct_answer": {"numerator": 13, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (5♀10)♂14.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 5, "b": 10, "c": 14, "correct_answer": {"numerator": 44, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀18)♂4 = 11, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 18, "B": 4, "result": 11, "correct_answer": {"numerator": -29, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (9♀4)♂1.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 9, "b": 4, "c": 1, "correct_answer": {"numerator": 27, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀18)♂23 = 29, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 18, "B": 23, "result": 29, "correct_answer": {"numerator": -15, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(17♀10) = 18, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 17, "B": 10, "result": 18, "correct_answer": {"numerator": 9, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 4♂(5♀9).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 4, "b": 5, "c": 9, "correct_answer": {"numerator": 23, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (1♀4)♂2.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 1, "b": 4, "c": 2, "correct_answer": {"numerator": 12, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 21♂(19♀8).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 21, "b": 19, "c": 8, "correct_answer": {"numerator": 195, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(10♀4) = 6, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 10, "B": 4, "result": 6, "correct_answer": {"numerator": -1, "denominator": 4}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (6♀11)♂13.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 6, "b": 11, "c": 13, "correct_answer": {"numerator": 47, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(5♀16) = 28, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 5, "B": 16, "result": 28, "correct_answer": {"numerator": 35, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀11)♂2 = 30, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 11, "B": 2, "result": 30, "correct_answer": {"numerator": 3, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀6)♂1 = 29, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 6, "B": 1, "result": 29, "correct_answer": {"numerator": 8, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(11♀12) = 5, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 11, "B": 12, "result": 5, "correct_answer": {"numerator": -13, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀10)♂5 = 45, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 10, "B": 5, "result": 45, "correct_answer": {"numerator": 10, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(9♀9) = 57, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 9, "B": 9, "result": 57, "correct_answer": {"numerator": 12, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (2♀17)♂19.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 2, "b": 17, "c": 19, "correct_answer": {"numerator": 57, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 23♂(12♀27).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 23, "b": 12, "c": 27, "correct_answer": {"numerator": 223, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀1)♂5 = 38, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 1, "B": 5, "result": 38, "correct_answer": {"numerator": 31, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 10♂(15♀10).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 10, "b": 15, "c": 10, "correct_answer": {"numerator": 105, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (9♀4)♂6.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 9, "b": 4, "c": 6, "correct_answer": {"numerator": 32, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (8♀19)♂17.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 8, "b": 19, "c": 17, "correct_answer": {"numerator": 71, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 3♂(3♀14).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 3, "b": 3, "c": 14, "correct_answer": {"numerator": 41, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 1♂(0♀7).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 1, "b": 0, "c": 7, "correct_answer": {"numerator": 15, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute 3♂(6♀10).\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct2", "a": 3, "b": 6, "c": 10, "correct_answer": {"numerator": 20, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(6♀9) = 10, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 6, "B": 9, "result": 10, "correct_answer": {"numerator": 5, "denominator": 8}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nCompute (7♀6)♂0.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "compute", "structure": "struct1", "a": 7, "b": 6, "c": 0, "correct_answer": {"numerator": 26, "denominator": 1}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf (X♀17)♂10 = 37, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct1", "A": 17, "B": 10, "result": 37, "correct_answer": {"numerator": -7, "denominator": 2}}}
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{"data_source": "KorOperationUnicode0032", "prompt": "You are given two custom operators: ♀ and ♂. The operator a♀b is defined as (a + b)/2, which calculates the average of a and b. The operator a♂b is defined as 4*a + b, which multiplies a by 4 and then adds b.\nIf X♂(15♀10) = 20, find X.\nPlease wrap the answer in double square brackets like [[answer]]. Use a/b format for fractions.", "ground_truth": {"type": "equation", "structure": "struct2", "A": 15, "B": 10, "result": 20, "correct_answer": {"numerator": 15, "denominator": 8}}}
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