{"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":"2dcd5042-7ad2-59f4-8f44-3046a4c0d805","task_key":"test--2dcd5042-7ad2-59f4-8f44-3046a4c0d805","task_revision_id":"1","upstream_id":"","short_description":"$A B C$ is an acute triangle with incircle $\\omega$. $\\omega$ is tangent to…","config":"","split":"test","body":"{\"problem\":\"$A B C$ is an acute triangle with incircle $\\\\omega$. $\\\\omega$ is tangent to sides $\\\\overline{B C}, \\\\overline{C A}$, and $\\\\overline{A B}$ at $D, E$, and $F$ respectively. $P$ is a point on the altitude from $A$ such that $\\\\Gamma$, the circle with diameter $\\\\overline{A P}$, is tangent to $\\\\omega$. $\\\\Gamma$ intersects $\\\\overline{A C}$ and $\\\\overline{A B}$ at $X$ and $Y$ respectively. Given $X Y=8, A E=15$, and that the radius of $\\\\Gamma$ is 5, compute $B D \\\\cdot D C$.\"}","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":[]}