{"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":"5cceca62-70a7-55dc-b4a4-32d3b5a62677","task_key":"test--5cceca62-70a7-55dc-b4a4-32d3b5a62677","task_revision_id":"1","upstream_id":"","short_description":"For each integer $n\\geqslant2$, determine the largest real constant $C_n$ such…","config":"","split":"test","body":"{\"problem\":\"For each integer $n\\\\geqslant2$, determine the largest real constant $C_n$ such that for all positive real numbers $a_1, \\\\ldots, a_n$ we have\\n\\\\[\\\\frac{a_1^2+\\\\ldots+a_n^2}{n}\\\\geqslant\\\\left(\\\\frac{a_1+\\\\ldots+a_n}{n}\\\\right)^2+C_n\\\\cdot(a_1-a_n)^2\\\\mbox{.}\\\\]\"}","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":[]}