{"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":"005eb71b-9faa-53f4-ac9a-97ecc6d24abf","task_key":"geometry--test--005eb71b-9faa-53f4-ac9a-97ecc6d24abf","task_revision_id":"1","upstream_id":"","short_description":"In the diagram below, we have $\\sin \\angle RPQ = \\frac{7}{25}$. What is $\\cos…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"In the diagram below, we have $\\\\sin \\\\angle RPQ = \\\\frac{7}{25}$.  What is $\\\\cos \\\\angle RPS$?\\n\\n[asy]\\n\\npair R,P,Q,SS;\\n\\nSS = (-2,0);\\n\\nP = (0,0);\\n\\nQ = (2,0);\\n\\nR = rotate(aSin(7/25))*(1.5,0);\\n\\ndot(\\\"$S$\\\",SS,S);\\n\\ndot(\\\"$Q$\\\",Q,S);\\n\\ndot(\\\"$R$\\\",R,N);\\n\\ndot(\\\"$P$\\\",P,S);\\n\\ndraw(Q--SS);\\n\\ndraw(P--R);\\n\\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":[]}