{"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":"6a922710-27d4-5fbe-ac85-67e6c12b6501","task_key":"geometry--test--6a922710-27d4-5fbe-ac85-67e6c12b6501","task_revision_id":"1","upstream_id":"","short_description":"In the diagram below, triangle $ABC$ is inscribed in the circle and $AC = AB$.…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In the diagram below, triangle $ABC$ is inscribed in the circle and $AC = AB$. The measure of angle $BAC$ is 42 degrees and segment $ED$ is tangent to the circle at point $C$. What is the measure of angle $ACD$? [asy]\\nimport olympiad; import geometry; size(150); defaultpen(linewidth(0.8));\\n\\ndraw(Circle((0,0),1));\\ndraw((dir(-30).x -1,dir(-30).y-2)--(dir(-30).x+1,dir(-30).y+2));\\npair C = dir(-30), B = dir(-114), A = dir(-114-138), D = (dir(-30).x+1,dir(-30).y+2), E = (dir(-30).x -1,dir(-30).y-2);\\ndraw(A--B--C--cycle);\\nlabel(\\\"$A$\\\",A,N); label(\\\"$B$\\\",B,SW); label(\\\"$C$\\\",C,dir(0)); label(\\\"$D$\\\",D,dir(0)); label(\\\"$E$\\\",E,dir(-90));\\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":[]}