{"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":"aecad327-7d68-5c56-ad7e-12dfd98b1264","task_key":"intermediate~5falgebra--test--aecad327-7d68-5c56-ad7e-12dfd98b1264","task_revision_id":"1","upstream_id":"","short_description":"The number $$\\sqrt{104\\sqrt6+468\\sqrt{10}+144\\sqrt{15}+2006}$$can be written as…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"The number $$\\\\sqrt{104\\\\sqrt6+468\\\\sqrt{10}+144\\\\sqrt{15}+2006}$$can be written as $a\\\\sqrt2+b\\\\sqrt3+c\\\\sqrt5$, where $a$, $b$, and $c$ are positive integers.  Find $a\\\\cdot b\\\\cdot c.$\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}