{"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":"a0743bd6-12a5-5642-bbb7-0ea11bb41ef6","task_key":"test--a0743bd6-12a5-5642-bbb7-0ea11bb41ef6","task_revision_id":"1","upstream_id":"","short_description":"Two circles $\\Gamma_{1}$ and $\\Gamma_{2}$ of radius 1 and 2, respectively, are…","config":"","split":"test","body":"{\"problem\":\"Two circles $\\\\Gamma_{1}$ and $\\\\Gamma_{2}$ of radius 1 and 2, respectively, are centered at the origin. A particle is placed at $(2,0)$ and is shot towards $\\\\Gamma_{1}$. When it reaches $\\\\Gamma_{1}$, it bounces off the circumference and heads back towards $\\\\Gamma_{2}$. The particle continues bouncing off the two circles in this fashion. If the particle is shot at an acute angle $\\\\theta$ above the $x$-axis, it will bounce 11 times before returning to $(2,0)$ for the first time. If $\\\\cot \\\\theta=a-\\\\sqrt{b}$ for positive integers $a$ and $b$, compute $100 a+b$.\"}","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":[]}