{"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":"5567d67c-6ea4-5cec-9a77-fd496ab07edd","task_key":"geometry--test--5567d67c-6ea4-5cec-9a77-fd496ab07edd","task_revision_id":"1","upstream_id":"","short_description":"Square $ABCD$ has side length 2. A semicircle with diameter $\\overline{AB}$ is…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Square $ABCD$ has side length 2. A semicircle with diameter $\\\\overline{AB}$ is constructed inside the square, and the tangent to the semicircle from $C$ intersects side $\\\\overline{AD}$ at $E$. What is the length of $\\\\overline{CE}$?\\n\\n[asy]\\npair A,B,C,D,I;\\nI=(0,2.5);\\nA=(0,0);\\nB=(10,0);\\nC=(10,10);\\nD=(0,10);\\ndraw((5,5)..A--B..cycle,linewidth(0.7));\\ndraw(C--I,linewidth(0.7));\\ndraw(A--B--C--D--cycle,linewidth(0.7));\\nlabel(\\\"$A$\\\",A,SW);\\nlabel(\\\"$B$\\\",B,SE);\\nlabel(\\\"$C$\\\",C,NE);\\nlabel(\\\"$D$\\\",D,NW);\\nlabel(\\\"$E$\\\",I,W);\\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":[]}