{"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":"8104edcb-ff87-5e84-8ffe-f34ee9693a54","task_key":"precalculus--test--8104edcb-ff87-5e84-8ffe-f34ee9693a54","task_revision_id":"1","upstream_id":"","short_description":"In a three-dimensional coordinate system with origin $O,$ points $A,$ $B,$ and…","config":"precalculus","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"In a three-dimensional coordinate system with origin $O,$ points $A,$ $B,$ and $C$ are on the $x$-, $y$-, and $z$-axes, respectively.   If the areas of triangles $OAB,$ $OAC,$ and $OBC$ are 4, 6, and 12, respectively, compute the area of triangle $ABC.$\",\"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":[]}