{"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":"9a4b3a5f-0bb6-5836-a400-8ef75023e5b6","task_key":"test--9a4b3a5f-0bb6-5836-a400-8ef75023e5b6","task_revision_id":"1","upstream_id":"","short_description":"Let $\\{fn\\}$ be the Fibonacci sequence $\\{1, 1, 2, 3, 5, \\dots.\\}. $","config":"","split":"test","body":"{\"problem\":\"Let $\\\\{fn\\\\}$ be the Fibonacci sequence $\\\\{1, 1, 2, 3, 5, \\\\dots.\\\\}. $\\n\\n(a) Find all pairs $(a, b)$ of real numbers such that for each $n$, $af_n +bf_{n+1}$ is a member of the sequence.\\n\\n(b) Find all pairs $(u, v)$ of positive real numbers such that for each $n$, $uf_n^2 +vf_{n+1}^2$ is a member of the sequence.\"}","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":[]}