{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/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":"3e70fee7-649c-50ee-9c3e-ab02584ba451","task_key":"precalculus--test--3e70fee7-649c-50ee-9c3e-ab02584ba451","task_revision_id":"1","upstream_id":"","short_description":"Let $S$ be the set of points with polar coordinates $(r, \\theta),$ where $1 \\le…","config":"precalculus","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"Let $S$ be the set of points with polar coordinates $(r, \\\\theta),$ where $1 \\\\le r \\\\le 2$ and $0 \\\\le \\\\theta \\\\le \\\\frac{\\\\pi}{2}.$  Compute the area of $S.$\",\"type\":\"Precalculus\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}