{"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":"13c3f6e0-e205-502b-a1ca-cc7cc76b86f1","task_key":"test--13c3f6e0-e205-502b-a1ca-cc7cc76b86f1","task_revision_id":"1","upstream_id":"","short_description":"A circle $\\omega_{1}$ of radius 15 intersects a circle $\\omega_{2}$ of radius 13…","config":"","split":"test","body":"{\"problem\":\"A circle $\\\\omega_{1}$ of radius 15 intersects a circle $\\\\omega_{2}$ of radius 13 at points $P$ and $Q$. Point $A$ is on line $P Q$ such that $P$ is between $A$ and $Q$. $R$ and $S$ are the points of tangency from $A$ to $\\\\omega_{1}$ and $\\\\omega_{2}$, respectively, such that the line $A S$ does not intersect $\\\\omega_{1}$ and the line $A R$ does not intersect $\\\\omega_{2}$. If $P Q=24$ and $\\\\angle R A S$ has a measure of $90^{\\\\circ}$, compute the length of $A R$.\"}","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":[]}