{"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":"8ef1e14f-6fa2-58b9-beb8-ff54526b812d","task_key":"geometry--test--8ef1e14f-6fa2-58b9-beb8-ff54526b812d","task_revision_id":"1","upstream_id":"","short_description":"Point $P$ is inside equilateral triangle $ABC$ such that the altitudes from $P$…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Point $P$ is inside equilateral triangle $ABC$ such that the altitudes from $P$ to $\\\\overline{AB}$, $\\\\overline{BC}$, and $\\\\overline{CA}$ have lengths 5, 6, and 7 respectively.  What is the area of triangle $ABC$?\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}