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InternBootcamp/examples/data/Intenbootcamp_eval/korOperationUnicodeffe1.jsonl
Yongkang Chen a8249acc18
update to tech report version (#10) 
* 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
2025-08-28 12:39:47 +08:00

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{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {2, 4, 19}\nB = {1, 3, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 4, 19], "B": [1, 3, 16], "solution": [1, 2, 3, 4, 16, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x is an element of empty set}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a real number", "B": "x is an element of empty set", "solution": "{x | x ∈ ℝ}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {m, v}\nB = {f, n, r, v, z}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["m", "v"], "B": ["f", "n", "r", "v", "z"], "solution": ["f", "m", "n", "r", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {d, g, i, v, z}\nB = {a, f}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["d", "g", "i", "v", "z"], "B": ["a", "f"], "solution": ["a", "d", "f", "g", "i", "v", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {2, 6, 8}\nB = {10, 11, 14, 18}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 6, 8], "B": [10, 11, 14, 18], "solution": [2, 6, 8, 10, 11, 14, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {1, 3, 11, 12, 14}\nB = {10, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 3, 11, 12, 14], "B": [10, 20], "solution": [1, 3, 10, 11, 12, 14, 20]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {p, r, s, x}\nB = {n, p, x}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["p", "r", "s", "x"], "B": ["n", "p", "x"], "solution": ["n", "r", "s"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {1, 8, 13, 19}\nB = {6, 15, 17}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 8, 13, 19], "B": [6, 15, 17], "solution": [1, 6, 8, 13, 15, 17, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {c, e, f, m, q, r}\nB = {f, j, q, r, v, x}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["c", "e", "f", "m", "q", "r"], "B": ["f", "j", "q", "r", "v", "x"], "solution": ["c", "e", "j", "m", "v", "x"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {c, l, r, t, u, x}\nB = {c, h, i, j, q, u}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["c", "l", "r", "t", "u", "x"], "B": ["c", "h", "i", "j", "q", "u"], "solution": ["h", "i", "j", "l", "q", "r", "t", "x"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {14, 15}\nB = {2, 3, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [14, 15], "B": [2, 3, 16], "solution": [2, 3, 14, 15, 16]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {2, 10, 11, 15}\nB = {2, 4, 13}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 10, 11, 15], "B": [2, 4, 13], "solution": [4, 10, 11, 13, 15]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {13, 15}\nB = {1, 16, 18}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [13, 15], "B": [1, 16, 18], "solution": [1, 13, 15, 16, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {9, 10, 20}\nB = {18, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [9, 10, 20], "B": [18, 20], "solution": [9, 10, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {a, j, l, t, w}\nB = {u, x}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["a", "j", "l", "t", "w"], "B": ["u", "x"], "solution": ["a", "j", "l", "t", "u", "w", "x"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {3, 13, 14}\nB = {14, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [3, 13, 14], "B": [14, 19], "solution": [3, 13, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {4, 15}\nB = {8, 12, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [4, 15], "B": [8, 12, 19], "solution": [4, 8, 12, 15, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {f, m}\nB = {r, v, x, y, z}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["f", "m"], "B": ["r", "v", "x", "y", "z"], "solution": ["f", "m", "r", "v", "x", "y", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {f, g, h, y}\nB = {p, u}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["f", "g", "h", "y"], "B": ["p", "u"], "solution": ["f", "g", "h", "p", "u", "y"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {3, 19}\nB = {6, 7, 12}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [3, 19], "B": [6, 7, 12], "solution": [3, 6, 7, 12, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x is an element of empty set}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a real number", "B": "x is an element of empty set", "solution": "{x | x ∈ ℝ}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {g, h, u}\nB = {a, i}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["g", "h", "u"], "B": ["a", "i"], "solution": ["a", "g", "h", "i", "u"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {1, 5, 12, 13}\nB = {5, 6, 9}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 5, 12, 13], "B": [5, 6, 9], "solution": [1, 6, 9, 12, 13]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {9, 13}\nB = {7, 15, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [9, 13], "B": [7, 15, 20], "solution": [7, 9, 13, 15, 20]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {11, 19}\nB = {7, 15}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [11, 19], "B": [7, 15], "solution": [7, 11, 15, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {n, o, p}\nB = {b, v, z}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["n", "o", "p"], "B": ["b", "v", "z"], "solution": ["b", "n", "o", "p", "v", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a natural number (including 0)}\nB = {x is a positive integer}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a natural number (including 0)", "B": "x is a positive integer", "solution": "{0}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {a, i, t}\nB = {a, b, g, h}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["a", "i", "t"], "B": ["a", "b", "g", "h"], "solution": ["b", "g", "h", "i", "t"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {19, 20}\nB = {1, 4, 11, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [19, 20], "B": [1, 4, 11, 16], "solution": [1, 4, 11, 16, 19, 20]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {d, k, u}\nB = {j, q}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["d", "k", "u"], "B": ["j", "q"], "solution": ["d", "j", "k", "q", "u"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {c, f, o, s, z}\nB = {e, f, p, r}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["c", "f", "o", "s", "z"], "B": ["e", "f", "p", "r"], "solution": ["c", "e", "o", "p", "r", "s", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x > -5}\nB = {x < -3}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x > -5", "B": "x < -3", "solution": "{x | x ≤ -5 or x ≥ -3}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {2, 10, 12, 13}\nB = {5, 6, 8, 13, 14}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 10, 12, 13], "B": [5, 6, 8, 13, 14], "solution": [2, 5, 6, 8, 10, 12, 14]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {2, 3, 13, 16}\nB = {1, 18}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 3, 13, 16], "B": [1, 18], "solution": [1, 2, 3, 13, 16, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x is an element of empty set}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a real number", "B": "x is an element of empty set", "solution": "{x | x ∈ ℝ}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {b, d, n}\nB = {l, n, q, t}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["b", "d", "n"], "B": ["l", "n", "q", "t"], "solution": ["b", "d", "l", "q", "t"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {7, 19}\nB = {4, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [7, 19], "B": [4, 20], "solution": [4, 7, 19, 20]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {18, 19}\nB = {3, 4, 10, 11, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [18, 19], "B": [3, 4, 10, 11, 19], "solution": [3, 4, 10, 11, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {n, t, w}\nB = {c, g, j, t, y}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["n", "t", "w"], "B": ["c", "g", "j", "t", "y"], "solution": ["c", "g", "j", "n", "w", "y"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x > 2}\nB = {x < 5}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x > 2", "B": "x < 5", "solution": "{x | x ≤ 2 or x ≥ 5}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {6, 18}\nB = {4, 12}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [6, 18], "B": [4, 12], "solution": [4, 6, 12, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x² < 1}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x is a real number", "B": "x² < 1", "solution": "{x | x ≤ -1 or x ≥ 1}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {13, 17}\nB = {1, 9}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [13, 17], "B": [1, 9], "solution": [1, 9, 13, 17]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {12, 18, 20}\nB = {12, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [12, 18, 20], "B": [12, 16], "solution": [16, 18, 20]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {4, 6}\nB = {11, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [4, 6], "B": [11, 19], "solution": [4, 6, 11, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {5, 9, 14}\nB = {2, 10}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [5, 9, 14], "B": [2, 10], "solution": [2, 5, 9, 10, 14]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {a, d, g, t, z}\nB = {d, e, f, l}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["a", "d", "g", "t", "z"], "B": ["d", "e", "f", "l"], "solution": ["a", "e", "f", "g", "l", "t", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {1, 9}\nB = {8, 10}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 9], "B": [8, 10], "solution": [1, 8, 9, 10]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {10, 13, 19}\nB = {5, 12}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [10, 13, 19], "B": [5, 12], "solution": [5, 10, 12, 13, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {4, 12, 18}\nB = {9, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [4, 12, 18], "B": [9, 20], "solution": [4, 9, 12, 18, 20]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {9, 15, 16, 18}\nB = {1, 6}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [9, 15, 16, 18], "B": [1, 6], "solution": [1, 6, 9, 15, 16, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {14, 15}\nB = {7, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [14, 15], "B": [7, 16], "solution": [7, 14, 15, 16]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {4, 16, 18}\nB = {3, 10, 13}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [4, 16, 18], "B": [3, 10, 13], "solution": [3, 4, 10, 13, 16, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {3, 6, 12, 13, 19}\nB = {1, 11}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [3, 6, 12, 13, 19], "B": [1, 11], "solution": [1, 3, 6, 11, 12, 13, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x is an element of empty set}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a real number", "B": "x is an element of empty set", "solution": "{x | x ∈ ℝ}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x is an element of empty set}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a real number", "B": "x is an element of empty set", "solution": "{x | x ∈ ℝ}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {10, 19}\nB = {7, 11, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [10, 19], "B": [7, 11, 19], "solution": [7, 10, 11]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {c, d, u, w}\nB = {a, e, i, j, w, x}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["c", "d", "u", "w"], "B": ["a", "e", "i", "j", "w", "x"], "solution": ["a", "c", "d", "e", "i", "j", "u", "x"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {4, 5, 16, 18}\nB = {1, 8, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [4, 5, 16, 18], "B": [1, 8, 16], "solution": [1, 4, 5, 8, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {c, d, u}\nB = {n, o, w}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["c", "d", "u"], "B": ["n", "o", "w"], "solution": ["c", "d", "n", "o", "u", "w"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {h, m, o, p, w}\nB = {k, p}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["h", "m", "o", "p", "w"], "B": ["k", "p"], "solution": ["h", "k", "m", "o", "w"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x is an element of empty set}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a real number", "B": "x is an element of empty set", "solution": "{x | x ∈ ℝ}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {7, 17, 19}\nB = {11, 18}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [7, 17, 19], "B": [11, 18], "solution": [7, 11, 17, 18, 19]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {9, 10, 15}\nB = {1, 3}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [9, 10, 15], "B": [1, 3], "solution": [1, 3, 9, 10, 15]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x² < 9}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x is a real number", "B": "x² < 9", "solution": "{x | x ≤ -3 or x ≥ 3}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {a, b, c, m, q, z}\nB = {a, f, h, i, p}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["a", "b", "c", "m", "q", "z"], "B": ["a", "f", "h", "i", "p"], "solution": ["b", "c", "f", "h", "i", "m", "p", "q", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {5, 7, 10, 15}\nB = {11, 15}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [5, 7, 10, 15], "B": [11, 15], "solution": [5, 7, 10, 11]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x < 4}\nB = {x > -1}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x < 4", "B": "x > -1", "solution": "{x | x ≤ -1 or x ≥ 4}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {4, 15}\nB = {4, 5, 11}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [4, 15], "B": [4, 5, 11], "solution": [5, 11, 15]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {p, r, y}\nB = {f, o, q, v}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["p", "r", "y"], "B": ["f", "o", "q", "v"], "solution": ["f", "o", "p", "q", "r", "v", "y"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {h, m, p, q, x}\nB = {a, e, q}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["h", "m", "p", "q", "x"], "B": ["a", "e", "q"], "solution": ["a", "e", "h", "m", "p", "x"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {9, 13, 16}\nB = {3, 8}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [9, 13, 16], "B": [3, 8], "solution": [3, 8, 9, 13, 16]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x is an element of empty set}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a real number", "B": "x is an element of empty set", "solution": "{x | x ∈ ℝ}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a natural number (including 0)}\nB = {x is a positive integer}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a natural number (including 0)", "B": "x is a positive integer", "solution": "{0}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a natural number (including 0)}\nB = {x is a positive integer}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a natural number (including 0)", "B": "x is a positive integer", "solution": "{0}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a natural number (including 0)}\nB = {x is a positive integer}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a natural number (including 0)", "B": "x is a positive integer", "solution": "{0}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {k, l, n, o, s, x}\nB = {d, k, o, p, t}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["k", "l", "n", "o", "s", "x"], "B": ["d", "k", "o", "p", "t"], "solution": ["d", "l", "n", "p", "s", "t", "x"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {12, 19}\nB = {5, 8, 16, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [12, 19], "B": [5, 8, 16, 19], "solution": [5, 8, 12, 16]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {4, 10}\nB = {17, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [4, 10], "B": [17, 20], "solution": [4, 10, 17, 20]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x > 2}\nB = {x < 5}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x > 2", "B": "x < 5", "solution": "{x | x ≤ 2 or x ≥ 5}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {4, 9, 11, 14}\nB = {5, 8, 14}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [4, 9, 11, 14], "B": [5, 8, 14], "solution": [4, 5, 8, 9, 11]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {1, 9}\nB = {5, 15, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 9], "B": [5, 15, 20], "solution": [1, 5, 9, 15, 20]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x > -2}\nB = {x < 2}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x > -2", "B": "x < 2", "solution": "{x | x ≤ -2 or x ≥ 2}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {2, 3, 12, 17}\nB = {6, 7, 8}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 3, 12, 17], "B": [6, 7, 8], "solution": [2, 3, 6, 7, 8, 12, 17]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x is an element of empty set}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a real number", "B": "x is an element of empty set", "solution": "{x | x ∈ ℝ}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {f, i, v, x, y, z}\nB = {c, i, k}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["f", "i", "v", "x", "y", "z"], "B": ["c", "i", "k"], "solution": ["c", "f", "k", "v", "x", "y", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {s, u}\nB = {c, g, i, l, r, w}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["s", "u"], "B": ["c", "g", "i", "l", "r", "w"], "solution": ["c", "g", "i", "l", "r", "s", "u", "w"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x² < 1}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x is a real number", "B": "x² < 1", "solution": "{x | x ≤ -1 or x ≥ 1}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a natural number (including 0)}\nB = {x is a positive integer}\n\nCompute A£B considering mathematical definitions.\nFormat: [[set_notation]]", "ground_truth": {"type": "special", "A": "x is a natural number (including 0)", "B": "x is a positive integer", "solution": "{0}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {17, 18}\nB = {2, 10}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [17, 18], "B": [2, 10], "solution": [2, 10, 17, 18]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {2, 6, 7}\nB = {3, 13, 14}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 6, 7], "B": [3, 13, 14], "solution": [2, 3, 6, 7, 13, 14]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x < 5}\nB = {x > 2}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x < 5", "B": "x > 2", "solution": "{x | x ≤ 2 or x ≥ 5}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {f, k, u}\nB = {j, m, w}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["f", "k", "u"], "B": ["j", "m", "w"], "solution": ["f", "j", "k", "m", "u", "w"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven:\nA = {x is a real number}\nB = {x² < 1}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x is a real number", "B": "x² < 1", "solution": "{x | x ≤ -1 or x ≥ 1}"}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {k, m, v, y}\nB = {b, z}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["k", "m", "v", "y"], "B": ["b", "z"], "solution": ["b", "k", "m", "v", "y", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {10, 13}\nB = {2, 5}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [10, 13], "B": [2, 5], "solution": [2, 5, 10, 13]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {o, p, r, z}\nB = {i, l, q, t, u}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["o", "p", "r", "z"], "B": ["i", "l", "q", "t", "u"], "solution": ["i", "l", "o", "p", "q", "r", "t", "u", "z"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {1, 4, 13}\nB = {12, 14, 15}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 4, 13], "B": [12, 14, 15], "solution": [1, 4, 12, 13, 14, 15]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {f, i, k, n}\nB = {e, g, m, o, s}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["f", "i", "k", "n"], "B": ["e", "g", "m", "o", "s"], "solution": ["e", "f", "g", "i", "k", "m", "n", "o", "s"]}}
{"data_source": "KorOperationUnicodeffe1", "prompt": "Rules:\n1. A£B = (A∪B) - (A∩B)\n2. Use comma-separated sorted elements for finite sets\n3. Use '≤'/'≥' for inequalities\n4. Answer MUST be within double square brackets\n\nGiven two finite sets:\nA = {10, 11}\nB = {4, 18, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [10, 11], "B": [4, 18, 19], "solution": [4, 10, 11, 18, 19]}}
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