{"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":"ea0742c9-ec78-53fe-bcc0-f6f1b220ad3c","task_key":"prealgebra--test--ea0742c9-ec78-53fe-bcc0-f6f1b220ad3c","task_revision_id":"1","upstream_id":"","short_description":"Central angles $a$,$b$, and $c$ separate the circle into regions which are…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 1\",\"problem\":\"Central angles $a$,$b$, and $c$ separate the circle into regions which are $\\\\frac{1}{3}$, $\\\\frac{1}{4}$, and $\\\\frac{1}{6}$ of the area of the circle respectively. How many degrees are there in central angle $d$?\\n\\n[asy]\\ndraw(circle((0,0),1));\\ndraw((0,0)--(1,0));\\ndraw((0,0)--(0,1));\\ndraw((0,0)--(1/2,-sqrt(3)/2));\\ndraw((0,0)--(-sqrt(3)/2,-1/2));\\nlabel(\\\"$b$\\\",(0,0),NE);\\nlabel(\\\"$c$\\\",(0,0),dir(-30));\\nlabel(\\\"$d$\\\",(0,0),dir(-100));\\nlabel(\\\"$a$\\\",(0,0),NW);\\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":[]}