{"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":"33b13415-3251-5dd4-8bfe-c2c832cb8a8a","task_key":"prealgebra--test--33b13415-3251-5dd4-8bfe-c2c832cb8a8a","task_revision_id":"1","upstream_id":"","short_description":"A square and a regular heptagon are coplanar and share a common side…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"A square and a regular heptagon  are coplanar and share a common side $\\\\overline{AD}$, as shown. What is the degree measure of angle $BAC$?  Express your answer as a common fraction.\\n\\n[asy]\\nfor(int i=0; i <=7; ++i) {\\ndraw(dir(360*i/7+90)--dir(360*(i+1)/7+90));\\n}\\npair A = dir(360*3/7+90);\\npair F = dir(360*4/7+90);\\npair C = A+dir(90)*(F-A);\\npair D = C+F-A;\\npair B = dir(360*2/7+90);\\n\\ndraw(A--C--D--F);\\n\\nlabel(\\\"$A$\\\",A,S);\\nlabel(\\\"$B$\\\",B,W);\\nlabel(\\\"$C$\\\",C,SE);\\nlabel(\\\"$D$\\\",F,S);\\n\\n[/asy]\",\"type\":\"Prealgebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}