{"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":"3de1a107-56e8-5ed6-8d97-1d99feddd698","task_key":"precalculus--test--3de1a107-56e8-5ed6-8d97-1d99feddd698","task_revision_id":"1","upstream_id":"","short_description":"Find the degree measure of the least positive angle $\\theta$ for which","config":"precalculus","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Find the degree measure of the least positive angle $\\\\theta$ for which\\n\\\\[\\\\tan \\\\theta = \\\\frac{\\\\cos 5^\\\\circ \\\\cos 20^\\\\circ + \\\\cos 35^\\\\circ \\\\cos 50^\\\\circ - \\\\sin 5^\\\\circ \\\\sin 20^\\\\circ - \\\\sin 35^\\\\circ \\\\sin 50^\\\\circ}{\\\\sin 5^\\\\circ \\\\cos 20^\\\\circ - \\\\sin 35^\\\\circ \\\\cos 50^\\\\circ + \\\\cos 5^\\\\circ \\\\sin 20^\\\\circ - \\\\cos 35^\\\\circ \\\\sin 50^\\\\circ}.\\\\]\",\"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":[]}