{"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":"97d6fe19-4f63-569f-bcfc-b02c1133ab7d","task_key":"test--97d6fe19-4f63-569f-bcfc-b02c1133ab7d","task_revision_id":"1","upstream_id":"","short_description":"In triangle $A B C, \\angle B A C=60^{\\circ}$. Let \\omega be a circle tangent to…","config":"","split":"test","body":"{\"problem\":\"In triangle $A B C, \\\\angle B A C=60^{\\\\circ}$. Let \\\\omega be a circle tangent to segment $A B$ at point $D$ and segment $A C$ at point $E$. Suppose \\\\omega intersects segment $B C$ at points $F$ and $G$ such that $F$ lies in between $B$ and $G$. Given that $A D=F G=4$ and $B F=\\\\frac{1}{2}$, find the length of $C G$.\"}","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":[]}