{"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":"6122f4fa-dd5a-5ff5-8a48-6e2d4520046a","task_key":"test--6122f4fa-dd5a-5ff5-8a48-6e2d4520046a","task_revision_id":"1","upstream_id":"","short_description":"Let $A, B, C$ be points in that order along a line, such that $A B=20$ and $B…","config":"","split":"test","body":"{\"problem\":\"Let $A, B, C$ be points in that order along a line, such that $A B=20$ and $B C=18$. Let $\\\\omega$ be a circle of nonzero radius centered at $B$, and let $\\\\ell_{1}$ and $\\\\ell_{2}$ be tangents to $\\\\omega$ through $A$ and $C$, respectively. Let $K$ be the intersection of $\\\\ell_{1}$ and $\\\\ell_{2}$. Let $X$ lie on segment $\\\\overline{K A}$ and $Y$ lie on segment $\\\\overline{K C}$ such that $X Y \\\\| B C$ and $X Y$ is tangent to $\\\\omega$. What is the largest possible integer length for $X Y$?\"}","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":[]}