{"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":"72007acc-f514-5d40-bc91-6b2b12d2285f","task_key":"precalculus--test--72007acc-f514-5d40-bc91-6b2b12d2285f","task_revision_id":"1","upstream_id":"","short_description":"A cube has a side length of $s,$ and its vertices are $A = (0,0,0),$ $B =…","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A cube has a side length of $s,$ and its vertices are $A = (0,0,0),$ $B = (s,0,0),$ $C = (s,s,0),$ $D = (0,s,0),$ $E = (0,0,s),$ $F = (s,0,s),$ $G = (s,s,s),$ and $H = (0,s,s).$  A point $P$ inside the cube satisfies $PA = \\\\sqrt{70},$ $PB = \\\\sqrt{97},$ $PC = \\\\sqrt{88},$ and $PE = \\\\sqrt{43}.$  Find the side length $s.$\",\"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":[]}