{"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":"819cbd6b-ebe4-55f1-a7fa-0ff2f0ffb5af","task_key":"geometry--test--819cbd6b-ebe4-55f1-a7fa-0ff2f0ffb5af","task_revision_id":"1","upstream_id":"","short_description":"We have triangle $\\triangle ABC$ where $AB = AC$ and $AD$ is an altitude.…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"We have triangle $\\\\triangle ABC$ where $AB = AC$ and $AD$ is an altitude. Meanwhile, $E$ is a point on $AC$ such that $AB \\\\parallel DE.$ If $BC = 12$  and the area of $\\\\triangle ABC$ is $180,$ what is the area of $ABDE$?\",\"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":[]}