{"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":"6297dde9-2eee-563e-905e-f237cdae5dd3","task_key":"precalculus--test--6297dde9-2eee-563e-905e-f237cdae5dd3","task_revision_id":"1","upstream_id":"","short_description":"Equilateral triangle $OAB$ has side length 1. The point $P$ satisfies","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Equilateral triangle $OAB$ has side length 1.  The point $P$ satisfies\\n\\\\[\\\\overrightarrow{OP} = (2 - t) \\\\overrightarrow{OA} + t \\\\overrightarrow{OB},\\\\]where $t$ is a real number.  Find the minimum value of $|\\\\overrightarrow{AP}|.$\",\"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":[]}