{"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":"5c00f36f-569f-5dcc-89d3-5ad820855469","task_key":"precalculus--test--5c00f36f-569f-5dcc-89d3-5ad820855469","task_revision_id":"1","upstream_id":"","short_description":"Let $\\alpha,$ $\\beta,$ and $\\gamma$ be three angles such that $\\alpha + \\beta +…","config":"precalculus","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $\\\\alpha,$ $\\\\beta,$ and $\\\\gamma$ be three angles such that $\\\\alpha + \\\\beta + \\\\gamma = \\\\pi.$  If we are given that $\\\\tan \\\\alpha \\\\tan \\\\beta = \\\\csc \\\\frac{\\\\pi}{3},$ then determine $\\\\frac{\\\\cos \\\\alpha \\\\cos \\\\beta}{\\\\cos \\\\gamma}.$\",\"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":[]}