{"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":"80ab9122-4c2f-50d4-9c9d-bdb9d0e927a8","task_key":"precalculus--test--80ab9122-4c2f-50d4-9c9d-bdb9d0e927a8","task_revision_id":"1","upstream_id":"","short_description":"All solutions of the equation $\\cos 4x = -\\frac{1}{2}$ can be expressed in the…","config":"precalculus","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"All solutions of the equation $\\\\cos 4x = -\\\\frac{1}{2}$ can be expressed in the form $\\\\frac{(kn \\\\pm 1) \\\\pi}{6},$ where $n$ is an integer.  Find the positive value of $k.$\",\"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":[]}