{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"omni-math","formal_name":"Omni-MATH","introduction":"Omni-MATH evaluates mathematical reasoning on Olympiad-level problems. Its official dataset contains 4,428 problems accompanied by domain and difficulty information.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"44f221b9-efe5-5e66-826f-529c979ee1a7","task_key":"test--44f221b9-efe5-5e66-826f-529c979ee1a7","task_revision_id":"1","upstream_id":"","short_description":"Let $S$ be the set of all positive factors of 6000. What is the probability of a…","config":"","split":"test","body":"{\"problem\":\"Let $S$ be the set of all positive factors of 6000. What is the probability of a random quadruple $(a, b, c, d) \\\\in S^{4}$ satisfies $$\\\\operatorname{lcm}(\\\\operatorname{gcd}(a, b), \\\\operatorname{gcd}(c, d))=\\\\operatorname{gcd}(\\\\operatorname{lcm}(a, b), \\\\operatorname{lcm}(c, d)) ?$$\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}