{"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":"76463e6c-e9a2-58b2-81b5-1497326cc135","task_key":"geometry--test--76463e6c-e9a2-58b2-81b5-1497326cc135","task_revision_id":"1","upstream_id":"","short_description":"In triangle $ABC$, point $D$ is on segment $BC$, the measure of angle $BAC$ is…","config":"geometry","split":"test","body":"{\"level\":\"Level 1\",\"problem\":\"In triangle $ABC$, point $D$ is on segment $BC$, the measure of angle $BAC$ is 40 degrees, and triangle $ABD$ is a reflection of triangle $ACD$ over segment $AD$. What is the measure of angle $B$?\\n\\n[asy]\\nsize(101);\\npair B = (0,0); pair C = (2,0); pair D = (1,0); pair A = (1, tan(70*pi/180));\\ndraw(A--B--C--cycle,linewidth(1));\\nlabel(\\\"$A$\\\",A,N); label(\\\"$B$\\\",B,W); label(\\\"$C$\\\",C,E);\\n\\ndraw(A--D,linetype(\\\"2 4\\\")+linewidth(1));\\nlabel(\\\"$D$\\\",D,S);[/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":[]}