{"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":"6f365cba-795d-595f-92cf-ae0a8045a293","task_key":"test--6f365cba-795d-595f-92cf-ae0a8045a293","task_revision_id":"1","upstream_id":"","short_description":"Let $ T$ denote the set of all ordered triples $ (p,q,r)$ of nonnegative…","config":"","split":"test","body":"{\"problem\":\"Let $ T$ denote the set of all ordered triples $ (p,q,r)$ of nonnegative integers. Find all functions $ f: T \\\\rightarrow \\\\mathbb{R}$ satisfying\\n\\\\[ f(p,q,r) = \\\\begin{cases} 0 & \\\\text{if} \\\\; pqr = 0, \\\\\\\\\\n1 + \\\\frac{1}{6}(f(p + 1,q - 1,r) + f(p - 1,q + 1,r) & \\\\\\\\\\n+ f(p - 1,q,r + 1) + f(p + 1,q,r - 1) & \\\\\\\\\\n + f(p,q + 1,r - 1) + f(p,q - 1,r + 1)) & \\\\text{otherwise} \\\\end{cases}\\n\\\\]\\nfor all nonnegative integers $ p$, $ q$, $ r$.\"}","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":[]}