{"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":"b3efdec6-6171-5bd2-928d-e3e1936fdc4d","task_key":"geometry--test--b3efdec6-6171-5bd2-928d-e3e1936fdc4d","task_revision_id":"1","upstream_id":"","short_description":"In $\\triangle{RST}$, shown, $\\sin{R}=\\frac{2}{5}$. What is $\\sin{T}$?","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"In $\\\\triangle{RST}$, shown, $\\\\sin{R}=\\\\frac{2}{5}$.  What is $\\\\sin{T}$?\\n\\n[asy]\\npair R,S,T;\\nT = (0,0);\\nS = (2,0);\\nR = (2,sqrt(21));\\ndraw(R--S--T--R);\\ndraw(rightanglemark(R,S,T,10));\\nlabel(\\\"$T$\\\",T,SW);\\nlabel(\\\"$S$\\\",S,SE);\\nlabel(\\\"$R$\\\",R,NE);\\nlabel(\\\"$5$\\\",(R+T)/2,NW);\\n[/asy]\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}