{"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":"aa049ce1-c4c2-555a-80e4-2f320eb56ffd","task_key":"prealgebra--test--aa049ce1-c4c2-555a-80e4-2f320eb56ffd","task_revision_id":"1","upstream_id":"","short_description":"Triangle $ABC$ is an isosceles right triangle with a right angle at $A$.…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Triangle $ABC$ is an isosceles right triangle with a right angle at $A$. Segments $BD$ and $BE$ trisect angle $ABC$. What is the degree measure of angle $BDE$?\\n\\n[asy]draw((0,0)--(-1,0)--(-1,1)--(0,0)--cycle,linewidth(2));\\ndraw((0,0)--dir(165)*1/cos(pi/12),linewidth(2));\\ndraw((0,0)--dir(150)*1/cos(pi/6),linewidth(2));\\ndraw((-1,.07)--(-.93,.07)--(-.93,0),linewidth(1));\\n\\nlabel(\\\"A\\\",(-1,0),SW);\\nlabel(\\\"B\\\",(0,0),SE);\\nlabel(\\\"C\\\",(-1,1),NW);\\nlabel(\\\"D\\\",dir(150)*1/cos(pi/6),W);\\nlabel(\\\"E\\\",dir(165)*1/cos(pi/12),W);\\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":[]}