{"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":"82d5a0f2-ed78-56af-aa3c-39e7dba1c20a","task_key":"geometry--test--82d5a0f2-ed78-56af-aa3c-39e7dba1c20a","task_revision_id":"1","upstream_id":"","short_description":"The vertices of a triangle are the points of intersection of the line $y =…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The vertices of a triangle are the points of intersection of the line $y = -x-1$, the line $x=2$, and $y = \\\\frac{1}{5}x+\\\\frac{13}{5}$. Find an equation of the circle passing through all three vertices.\\n\\n[asy]\\ndraw( (-5,0) -- (5,0), Arrows); draw( (0,-3) -- (0,4), Arrows);\\ndraw( (-5,0) -- (5,0), linewidth(.8)); draw( (0,-3) -- (0,4), linewidth(.8));\\ndraw( (-4, 3) -- (3, -4)); draw( (-4 , 9/5) -- (3, 16/5)); draw( (2, -5) -- (2, 4));\\n\\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":[]}