{"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":"5918aae1-63eb-5cd1-aa12-12e9361e9662","task_key":"precalculus--test--5918aae1-63eb-5cd1-aa12-12e9361e9662","task_revision_id":"1","upstream_id":"","short_description":"The points $(0,0,0),$ $(a,1,1),$ $(1,b,1),$ and $(1,1,c)$ are coplanar, where $a…","config":"precalculus","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"The points $(0,0,0),$ $(a,1,1),$ $(1,b,1),$ and $(1,1,c)$ are coplanar, where $a \\\\neq 1,$ $b \\\\neq 1,$ and $c \\\\neq 1.$  Compute\\n\\\\[\\\\frac{1}{1 - a} + \\\\frac{1}{1 - b} + \\\\frac{1}{1 - c}.\\\\]\",\"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":[]}