{"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":"541a5f23-26a9-5c49-85ce-20f0e9b7c78a","task_key":"geometry--test--541a5f23-26a9-5c49-85ce-20f0e9b7c78a","task_revision_id":"1","upstream_id":"","short_description":"The following diagonal is drawn in a regular heptagon, creating a pentagon and a…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"The following diagonal is drawn in a regular heptagon, creating a pentagon and a quadrilateral.  What is the measure of $x$, in degrees?  Express your answer as a common fraction.\\n\\n[asy]\\nimport markers;\\nfor(int i=0; i <=7; ++i) {\\ndraw(dir(360*i/7+90)--dir(360*(i+1)/7+90));\\n}\\npair A = dir(360*0/7+90);\\npair F = dir(360*4/7+90);\\npair G = dir(360*5/7+90);\\npair H = dir(360*6/7+90);\\n\\ndraw(A--F);\\n\\nmarkangle(Label(\\\"$x$\\\",Relative(0.5)),n=1,radius=18,G,F,A);\\n\\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":[]}