{"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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"de085714-b2f2-52fe-bd1d-cbf985360073","task_key":"test--de085714-b2f2-52fe-bd1d-cbf985360073","task_revision_id":"4","upstream_id":"","short_description":"Let $x_n=\\binom{2n}{n}$ for all $n\\in\\mathbb{Z}^+$. Prove there exist infinitely…","config":"","split":"test","body":"{\"problem\":\"Let $x_n=\\\\binom{2n}{n}$ for all $n\\\\in\\\\mathbb{Z}^+$. Prove there exist infinitely many finite sets $A,B$ of positive integers, satisfying $A \\\\cap B = \\\\emptyset $, and \\\\[\\\\frac{{\\\\prod\\\\limits_{i \\\\in A} {{x_i}} }}{{\\\\prod\\\\limits_{j\\\\in B}{{x_j}} }}=2012.\\\\]\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}