{"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":"503040a7-766f-5920-a96c-c741d14106d2","task_key":"test--503040a7-766f-5920-a96c-c741d14106d2","task_revision_id":"1","upstream_id":"","short_description":"Let $A B C$ be a triangle with $A B=A C=5$ and $B C=6$. Denote by $\\omega$ the…","config":"","split":"test","body":"{\"problem\":\"Let $A B C$ be a triangle with $A B=A C=5$ and $B C=6$. Denote by $\\\\omega$ the circumcircle of $A B C$. We draw a circle $\\\\Omega$ which is externally tangent to $\\\\omega$ as well as to the lines $A B$ and $A C$ (such a circle is called an $A$-mixtilinear excircle). Find the radius of $\\\\Omega$.\"}","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":[]}