{"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":"95a389df-6199-53f6-a260-498dfb8cefe2","task_key":"geometry--test--95a389df-6199-53f6-a260-498dfb8cefe2","task_revision_id":"1","upstream_id":"","short_description":"Each of the small circles in the figure has radius one. The innermost circle is…","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"Each of the small circles in the figure has radius one. The innermost circle is tangent to the six circles that surround it, and each of those circles is tangent to the large circle and to its small-circle neighbors. Find the area of the shaded region.\\n\\n[asy]\\nfill(Circle((0,0),3),gray(0.7));\\nfill(Circle((0,0),1),white);\\nfill(Circle((1.73,1),1),white);\\nfill(Circle((-1.73,1),1),white);\\nfill(Circle((-1.73,-1),1),white);\\nfill(Circle((1.73,-1),1),white);\\nfill(Circle((0,2),1),white);\\nfill(Circle((0,-2),1),white);\\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":[]}