{"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":"0d4539d3-aec2-5996-9c9c-10b38f3a3552","task_key":"precalculus--test--0d4539d3-aec2-5996-9c9c-10b38f3a3552","task_revision_id":"1","upstream_id":"","short_description":"Suppose $\\sin D = 0.7$ in the diagram below. What is $DE$? [asy]","config":"precalculus","split":"test","body":"{\"level\":\"Level 1\",\"problem\":\"Suppose $\\\\sin D = 0.7$ in the diagram below. What is $DE$? [asy]\\npair D,E,F;\\nF = (0,0);\\nD = (sqrt(51),7);\\nE = (0,7);\\ndraw(D--E--F--D);\\ndraw(rightanglemark(D,E,F,15));\\nlabel(\\\"$D$\\\",D,NE);\\nlabel(\\\"$E$\\\",E,NW);\\nlabel(\\\"$F$\\\",F,SW);\\nlabel(\\\"$7$\\\",(E+F)/2,W);\\n[/asy]\",\"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":[]}