{"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":"4702c44f-6826-5f69-a510-8f183fc70e97","task_key":"precalculus--test--4702c44f-6826-5f69-a510-8f183fc70e97","task_revision_id":"1","upstream_id":"","short_description":"For $135^\\circ < x < 180^\\circ$, points $P=(\\cos x, \\cos^2 x), Q=(\\cot x, \\cot^2…","config":"precalculus","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"For $135^\\\\circ < x < 180^\\\\circ$, points $P=(\\\\cos x, \\\\cos^2 x), Q=(\\\\cot x, \\\\cot^2 x), R=(\\\\sin x, \\\\sin^2 x)$ and $S =(\\\\tan x, \\\\tan^2 x)$ are the vertices of a trapezoid. What is $\\\\sin 2x$?\",\"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":[]}