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InternBootcamp/examples/data/InternBootcamp_eval/korOperationUnicodeffe1.jsonl
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2025-05-23 15:27:15 +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:\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:\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 = {g, m, n, o, p}\nB = {i, r, t, w, z}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["g", "m", "n", "o", "p"], "B": ["i", "r", "t", "w", "z"], "solution": ["g", "i", "m", "n", "o", "p", "r", "t", "w", "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, q, y}\nB = {d, l, m, w}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["d", "g", "q", "y"], "B": ["d", "l", "m", "w"], "solution": ["g", "l", "m", "q", "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 two finite sets:\nA = {11, 12, 18}\nB = {5, 8}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [11, 12, 18], "B": [5, 8], "solution": [5, 8, 11, 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 two finite sets:\nA = {d, o, v}\nB = {b, i, l, m}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["d", "o", "v"], "B": ["b", "i", "l", "m"], "solution": ["b", "d", "i", "l", "m", "o", "v"]}}
{"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, 12}\nB = {4, 6, 12, 17}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 12], "B": [4, 6, 12, 17], "solution": [2, 4, 6, 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 = {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 = {2, 3, 14, 16}\nB = {6, 10, 11, 16, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 3, 14, 16], "B": [6, 10, 11, 16, 19], "solution": [2, 3, 6, 10, 11, 14, 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 = {1, 7, 10}\nB = {2, 15, 18}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 7, 10], "B": [2, 15, 18], "solution": [1, 2, 7, 10, 15, 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, 18}\nB = {1, 17, 18}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [9, 18], "B": [1, 17, 18], "solution": [1, 9, 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 = {1, 9, 18}\nB = {5, 13}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 9, 18], "B": [5, 13], "solution": [1, 5, 9, 13, 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, 13}\nB = {1, 6, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 6, 13], "B": [1, 6, 20], "solution": [1, 2, 13, 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 < 5}\nB = {x > 0}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x < 5", "B": "x > 0", "solution": "{x | x ≤ 0 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 = {j, o}\nB = {g, h, o, s, t, w}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["j", "o"], "B": ["g", "h", "o", "s", "t", "w"], "solution": ["g", "h", "j", "s", "t", "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 = {3, 16, 17, 20}\nB = {5, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [3, 16, 17, 20], "B": [5, 16], "solution": [3, 5, 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 two finite sets:\nA = {2, 7, 8, 17, 20}\nB = {2, 4, 12, 17}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 7, 8, 17, 20], "B": [2, 4, 12, 17], "solution": [4, 7, 8, 12, 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 = {c, r, u, v}\nB = {u, w}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["c", "r", "u", "v"], "B": ["u", "w"], "solution": ["c", "r", "v", "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 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 = {5, 10, 12}\nB = {11, 13, 15, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [5, 10, 12], "B": [11, 13, 15, 20], "solution": [5, 10, 11, 12, 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:\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 > -3}\nB = {x < 1}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x > -3", "B": "x < 1", "solution": "{x | x ≤ -3 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 = {b, c, d, i, k, q}\nB = {c, f, i, s}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["b", "c", "d", "i", "k", "q"], "B": ["c", "f", "i", "s"], "solution": ["b", "d", "f", "k", "q", "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 = {2, 6, 17}\nB = {3, 13, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [2, 6, 17], "B": [3, 13, 20], "solution": [2, 3, 6, 13, 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 two finite sets:\nA = {13, 18}\nB = {3, 4, 8, 17}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [13, 18], "B": [3, 4, 8, 17], "solution": [3, 4, 8, 13, 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:\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 = {1, 6}\nB = {3, 6, 15, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 6], "B": [3, 6, 15, 16], "solution": [1, 3, 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 = {k, l, q, t}\nB = {n, s, w}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["k", "l", "q", "t"], "B": ["n", "s", "w"], "solution": ["k", "l", "n", "q", "s", "t", "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 = {10, 11}\nB = {10, 13, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [10, 11], "B": [10, 13, 16], "solution": [11, 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 two finite sets:\nA = {13, 19}\nB = {9, 15, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [13, 19], "B": [9, 15, 19], "solution": [9, 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 = {8, 15, 17}\nB = {11, 12}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [8, 15, 17], "B": [11, 12], "solution": [8, 11, 12, 15, 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 = {v, x}\nB = {e, k, o, q}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["v", "x"], "B": ["e", "k", "o", "q"], "solution": ["e", "k", "o", "q", "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 = {4, 5}\nB = {11, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [4, 5], "B": [11, 16], "solution": [4, 5, 11, 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 = {7, 20}\nB = {2, 5, 10, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [7, 20], "B": [2, 5, 10, 16], "solution": [2, 5, 7, 10, 16, 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 < 5}\nB = {x > -1}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x < 5", "B": "x > -1", "solution": "{x | x ≤ -1 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 = {8, 13, 20}\nB = {1, 2, 14}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [8, 13, 20], "B": [1, 2, 14], "solution": [1, 2, 8, 13, 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 = {3, 8, 13}\nB = {3, 17, 18}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [3, 8, 13], "B": [3, 17, 18], "solution": [8, 13, 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 = {13, 16, 20}\nB = {4, 14, 15, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [13, 16, 20], "B": [4, 14, 15, 19], "solution": [4, 13, 14, 15, 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 = {1, 11, 12}\nB = {1, 3, 18, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 11, 12], "B": [1, 3, 18, 19], "solution": [3, 11, 12, 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 = {b, d, i, l, r}\nB = {c, n, p, s}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["b", "d", "i", "l", "r"], "B": ["c", "n", "p", "s"], "solution": ["b", "c", "d", "i", "l", "n", "p", "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 = {b, i, r, u}\nB = {b, d, n, z}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["b", "i", "r", "u"], "B": ["b", "d", "n", "z"], "solution": ["d", "i", "n", "r", "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 = {8, 15}\nB = {3, 11}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [8, 15], "B": [3, 11], "solution": [3, 8, 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 = {19, 20}\nB = {18, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [19, 20], "B": [18, 19], "solution": [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 = {8, 16, 17, 18}\nB = {14, 18, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [8, 16, 17, 18], "B": [14, 18, 20], "solution": [8, 14, 16, 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 two finite sets:\nA = {i, j, o, s}\nB = {b, u, v}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["i", "j", "o", "s"], "B": ["b", "u", "v"], "solution": ["b", "i", "j", "o", "s", "u", "v"]}}
{"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:\nA = {x is a real number}\nB = {x² < 4}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x is a real number", "B": "x² < 4", "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 = {16, 17}\nB = {11, 16, 18}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [16, 17], "B": [11, 16, 18], "solution": [11, 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:\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 = {d, f, g, h, j}\nB = {j, o, u}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["d", "f", "g", "h", "j"], "B": ["j", "o", "u"], "solution": ["d", "f", "g", "h", "o", "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 = {b, g, q, t, u, z}\nB = {e, o}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["b", "g", "q", "t", "u", "z"], "B": ["e", "o"], "solution": ["b", "e", "g", "o", "q", "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 = {f, i, y}\nB = {e, o, p, s, x}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["f", "i", "y"], "B": ["e", "o", "p", "s", "x"], "solution": ["e", "f", "i", "o", "p", "s", "x", "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 is a real number}\nB = {x² < 4}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x is a real number", "B": "x² < 4", "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 = {5, 17, 20}\nB = {10, 20}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [5, 17, 20], "B": [10, 20], "solution": [5, 10, 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 = {e, f, i, k, m}\nB = {e, i, n, u}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["e", "f", "i", "k", "m"], "B": ["e", "i", "n", "u"], "solution": ["f", "k", "m", "n", "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 = {f, g, o, v, w}\nB = {h, n, q, x}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["f", "g", "o", "v", "w"], "B": ["h", "n", "q", "x"], "solution": ["f", "g", "h", "n", "o", "q", "v", "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:\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 = {5, 17}\nB = {5, 19}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [5, 17], "B": [5, 19], "solution": [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 = {1, 11}\nB = {3, 18}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 11], "B": [3, 18], "solution": [1, 3, 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:\nA = {x > 3}\nB = {x < 5}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x > 3", "B": "x < 5", "solution": "{x | x ≤ 3 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:\nA = {x is a real number}\nB = {x² < 4}\n\nCompute A£B using inequalities with ≤/≥.\nFormat: [[{{x | condition}}]]", "ground_truth": {"type": "interval", "A": "x is a real number", "B": "x² < 4", "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 = {f, i, k, l, o, v}\nB = {d, h, k, p, z}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["f", "i", "k", "l", "o", "v"], "B": ["d", "h", "k", "p", "z"], "solution": ["d", "f", "h", "i", "l", "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 two finite sets:\nA = {1, 9}\nB = {1, 16}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": [1, 9], "B": [1, 16], "solution": [9, 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 = {e, m, t}\nB = {c, g}\n\nCompute the symmetric difference A£B.\nFormat: [[sorted, comma-separated elements]]", "ground_truth": {"type": "finite", "A": ["e", "m", "t"], "B": ["c", "g"], "solution": ["c", "e", "g", "m", "t"]}}
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