{"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":"602328cb-a6ac-5e3b-bab1-9cf050aa9e98","task_key":"precalculus--test--602328cb-a6ac-5e3b-bab1-9cf050aa9e98","task_revision_id":"1","upstream_id":"","short_description":"A particle moves so that it is at $\\left( 3 \\sin \\frac{t}{4}, 3 \\cos \\frac{t}{4}…","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A particle moves so that it is at $\\\\left( 3 \\\\sin \\\\frac{t}{4}, 3 \\\\cos \\\\frac{t}{4} \\\\right)$ at time $t.$  Find the speed of the particle, measured in unit of distance per unit of time.\",\"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":[]}