{"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":"8bb8b3c0-ed6b-5a1e-a883-4c53b1de97e9","task_key":"geometry--test--8bb8b3c0-ed6b-5a1e-a883-4c53b1de97e9","task_revision_id":"1","upstream_id":"","short_description":"In right triangle $ABC$, shown below, $\\cos{B}=\\frac{6}{10}$. What is $\\tan{C}$?","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"In right triangle $ABC$, shown below, $\\\\cos{B}=\\\\frac{6}{10}$.  What is $\\\\tan{C}$?\\n\\n[asy]\\ndraw((0,0)--(10,0)--(3.6,4.8)--cycle,black+linewidth(1));\\ndraw(rightanglemark((0,0),(3.6,4.8),(10,0),20),black+linewidth(1));\\nlabel(\\\"$C$\\\",(10,0),E);\\nlabel(\\\"$A$\\\",(3.6,4.8),N);\\nlabel(\\\"$B$\\\",(0,0),W);\\nlabel(\\\"10\\\",(0,0)--(10,0),S);\\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":[]}