{"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":"24a735d9-5a21-56cf-a9f3-2f15a7fb03ae","task_key":"test--24a735d9-5a21-56cf-a9f3-2f15a7fb03ae","task_revision_id":"2","upstream_id":"","short_description":"For each positive integer $ n$, let $ c(n)$ be the largest real number such that","config":"","split":"test","body":"{\"problem\":\"For each positive integer $ n$, let $ c(n)$ be the largest real number such that\\r\\n\\\\[ c(n) \\\\le \\\\left| \\\\frac {f(a) \\\\minus{} f(b)}{a \\\\minus{} b}\\\\right|\\\\]\\r\\nfor all triples $ (f, a, b)$ such that\\r\\n\\r\\n--$ f$ is a polynomial of degree $ n$ taking integers to integers, and\\r\\n--$ a, b$ are integers with $ f(a) \\\\neq f(b)$.\\r\\n\\r\\nFind $ c(n)$.\\r\\n\\r\\n[i]Shaunak Kishore.[/i]\"}","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":[]}