{"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":"d08dbe35-de92-5a0c-9894-ca066231ad74","task_key":"precalculus--test--d08dbe35-de92-5a0c-9894-ca066231ad74","task_revision_id":"1","upstream_id":"","short_description":"Let $ABC$ be a triangle with $\\angle A = 45^\\circ$. Let $P$ be a point on side…","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Let $ABC$ be a triangle with $\\\\angle A = 45^\\\\circ$. Let $P$ be a point on side $\\\\overline{BC}$ with $PB = 3$ and $PC = 5$. Let $O$ be the circumcenter of triangle $ABC$. Determine the length $OP$.\",\"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":[]}