{"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":"76a706a8-d357-596a-88aa-9bf5f0428724","task_key":"test--76a706a8-d357-596a-88aa-9bf5f0428724","task_revision_id":"1","upstream_id":"","short_description":"Let $P$ be a point selected uniformly at random in the cube $[0,1]^{3}$. The…","config":"","split":"test","body":"{\"problem\":\"Let $P$ be a point selected uniformly at random in the cube $[0,1]^{3}$. The plane parallel to $x+y+z=0$ passing through $P$ intersects the cube in a two-dimensional region $\\\\mathcal{R}$. Let $t$ be the expected value of the perimeter of $\\\\mathcal{R}$. If $t^{2}$ can be written as $\\\\frac{a}{b}$, where $a$ and $b$ are relatively prime positive integers, compute $100 a+b$.\"}","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":[]}