{"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":"3d38a65c-0bbb-5b84-9188-9042c1e7a25f","task_key":"algebra--test--3d38a65c-0bbb-5b84-9188-9042c1e7a25f","task_revision_id":"1","upstream_id":"","short_description":"The equation of the circle shown in the following diagram can be written as $x^2…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The equation of the circle shown in the following diagram can be written as $x^2 + Ay^2 + Bx + Cy + D = 0$. Find $A+B+C+D$. [asy]\\nimport graph; size(8.55cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(8); defaultpen(dps); pen ds=black; real xmin=-3.99,xmax=4.56,ymin=-1.7,ymax=3.78;\\n\\nLabel laxis; laxis.p=fontsize(8);\\n\\nxaxis(\\\"$x$\\\",xmin,xmax,defaultpen+black,Ticks(laxis,Step=1.0,Size=2,OmitTick(0)),Arrows(6),above=true); yaxis(\\\"$y$\\\",ymin,ymax,defaultpen+black,Ticks(laxis,Step=1.0,Size=2,OmitTick(0)),Arrows(6),above=true); draw(circle((-1,1),2.24));\\n\\ndot((-1,1),ds); label(\\\"$(-1, 1)$\\\",(-0.93,1.12),NE*lsf); dot((1,2),ds); label(\\\"$(1, 2)$\\\",(1.07,2.11),NE*lsf);\\n\\nclip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle);\\n\\n[/asy]\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}