{"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":"53772f06-b606-5c85-89cc-fd3adef1a35d","task_key":"precalculus--test--53772f06-b606-5c85-89cc-fd3adef1a35d","task_revision_id":"1","upstream_id":"","short_description":"In triangle $ABC,$ let $D,$ $E,$ $F$ be the midpoints of $\\overline{BC},$…","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In triangle $ABC,$ let $D,$ $E,$ $F$ be the midpoints of $\\\\overline{BC},$ $\\\\overline{AC},$ $\\\\overline{AB},$ respectively.  Let $P,$ $Q,$ $R$ be the midpoints of $\\\\overline{AD},$ $\\\\overline{BE},$ $\\\\overline{CF},$ respectively.  Compute\\n\\\\[\\\\frac{AQ^2 + AR^ 2+ BP^2 + BR^2 + CP^2 + CQ^2}{AB^2 + AC^2 + BC^2}.\\\\]\",\"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":[]}