{"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":"2859d269-8c27-5d89-90d2-72b20c8ca5aa","task_key":"geometry--test--2859d269-8c27-5d89-90d2-72b20c8ca5aa","task_revision_id":"1","upstream_id":"","short_description":"Circles with centers $A$ and $B$ have radii 3 and 8, respectively. A common…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Circles with centers $A$ and $B$ have radii  3 and 8, respectively. A common internal tangent touches the circles at $C$ and $D$, as shown. Lines $AB$ and $CD$ intersect at $E$, and $AE = 5$. What is $CD$?\\n\\n[asy]\\nunitsize(0.2cm);\\npair A,B,C,D,E;\\nA=(0,0);\\nB=(18.3,0);\\nE=(5,0);\\nC=(1.8,-2.4);\\nD=(13.5,6.4);\\ndraw(Circle(A,3),linewidth(0.7));\\ndraw(Circle(B,8),linewidth(0.7));\\ndraw(A--B,linewidth(0.7));\\ndraw(C--D,linewidth(0.7));\\nlabel(\\\"$A$\\\",A,W);\\nlabel(\\\"$B$\\\",B,S);\\nlabel(\\\"$C$\\\",C,S);\\nlabel(\\\"$D$\\\",D,NW);\\nlabel(\\\"$E$\\\",E,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":[]}