{"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":"e385a077-7cf3-507a-86a9-552dc218dee8","task_key":"precalculus--test--e385a077-7cf3-507a-86a9-552dc218dee8","task_revision_id":"1","upstream_id":"","short_description":"Suppose $\\cos V = \\frac{2}{3}$ in the diagram below. What is $TV$?","config":"precalculus","split":"test","body":"{\"level\":\"Level 1\",\"problem\":\"Suppose $\\\\cos V = \\\\frac{2}{3}$ in the diagram below.  What is $TV$?\\n\\n\\n\\n[asy]\\npair T,U,V;\\nV = (0,0);\\nT = (0,16);\\nU = (17.89,16);\\ndraw(V--T--U--V);\\ndraw(rightanglemark(V,T,U,23));\\nlabel(\\\"$V$\\\",V,SW);\\nlabel(\\\"$U$\\\",U,NE);\\nlabel(\\\"$T$\\\",T,NW);\\nlabel(\\\"$24$\\\",(U-V)/2,SE);\\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":[]}