{"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":"6b561a06-f59a-5699-8c61-9019f4ee9b68","task_key":"precalculus--test--6b561a06-f59a-5699-8c61-9019f4ee9b68","task_revision_id":"1","upstream_id":"","short_description":"A parametric curve is defined by","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A parametric curve is defined by\\n\\\\[(x,y) = (\\\\sin^2 t, 2 \\\\cos t),\\\\]where $t$ ranges over all real numbers.\\n\\nThe same parametric curve can be defined by\\n\\\\[(x,y) = (-s^2 - 2s, 2s + 2),\\\\]where $s$ ranges over some interval $I.$  Find the interval $I.$\",\"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":[]}