{"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":"9ef23899-a650-5c3d-9e15-12447243b2b1","task_key":"precalculus--test--9ef23899-a650-5c3d-9e15-12447243b2b1","task_revision_id":"1","upstream_id":"","short_description":"If $a$ and $b$ are positive integers such that","config":"precalculus","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"If $a$ and $b$ are positive integers such that\\n\\\\[\\n  \\\\sqrt{8 + \\\\sqrt{32 + \\\\sqrt{768}}} = a \\\\cos \\\\frac{\\\\pi}{b} \\\\, ,\\n\\\\]compute the ordered pair $(a, b)$.\",\"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":[]}