{"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":"555a0399-52f3-5f52-9291-c64df4fcaa07","task_key":"precalculus--test--555a0399-52f3-5f52-9291-c64df4fcaa07","task_revision_id":"1","upstream_id":"","short_description":"Simplify","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Simplify\\n\\\\[4 \\\\sin x \\\\sin (60^\\\\circ - x) \\\\sin (60^\\\\circ + x).\\\\]The answer will be a trigonometric function of some simple function of $x,$ like \\\"$\\\\cos (2x)$\\\" or \\\"$\\\\sin (x^3)$\\\".\",\"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":[]}