{"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":"80c70a3c-30c9-5f5e-9455-7aa9e06ad1af","task_key":"intermediate~5falgebra--test--80c70a3c-30c9-5f5e-9455-7aa9e06ad1af","task_revision_id":"1","upstream_id":"","short_description":"As shown below, convex pentagon $ABCDE$ has sides $AB=3$, $BC=4$, $CD=6$,…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"As shown below, convex pentagon $ABCDE$ has sides $AB=3$, $BC=4$, $CD=6$, $DE=3$, and $EA=7$. The pentagon is originally positioned in the plane with vertex $A$ at the origin and vertex $B$ on the positive $x$-axis. The pentagon is then rolled clockwise to the right along the $x$-axis. Which side will touch the point $x=2009$ on the $x$-axis?\\n\\nEnter \\\"AB\\\", \\\"BC\\\", \\\"CD\\\", \\\"DE\\\", or \\\"EA\\\".\\n\\n[asy] unitsize(3mm); defaultpen(linewidth(.8pt)); dotfactor=4;  pair A=(0,0), Ep=7*dir(105), B=3*dir(0); pair D=Ep+B; pair C=intersectionpoints(Circle(D,6),Circle(B,4))[1]; pair[] ds={A,B,C,D,Ep};  dot(ds); draw(B--C--D--Ep--A); draw((6,6)..(8,4)..(8,3),EndArrow(6)); xaxis(\\\"$x$\\\",-8,14,EndArrow(3));  label(\\\"$E$\\\",Ep,NW); label(\\\"$D$\\\",D,NE); label(\\\"$C$\\\",C,E); label(\\\"$B$\\\",B,SE); label(\\\"$(0,0)=A$\\\",A,SW);  label(\\\"$3$\\\",midpoint(A--B),N); label(\\\"$4$\\\",midpoint(B--C),NW); label(\\\"$6$\\\",midpoint(C--D),NE); label(\\\"$3$\\\",midpoint(D--Ep),S); label(\\\"$7$\\\",midpoint(Ep--A),W); [/asy]\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}