{"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":"43d7e0e2-63ae-5b17-875d-b3fa93a72556","task_key":"intermediate~5falgebra--test--43d7e0e2-63ae-5b17-875d-b3fa93a72556","task_revision_id":"1","upstream_id":"","short_description":"Below is the graph of an ellipse. (Assume that tick marks are placed every $1$…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"Below is the graph of an ellipse. (Assume that tick marks are placed every $1$ unit along the axes.)\\n[asy]\\nsize(8cm);\\n\\nint x, y;\\nfor (y = -10; y <= 2; ++y) {\\n  draw((-0.6,y/3)--(2.4,y/3),gray(0.7));\\n}\\nfor (x = -1; x <= 7; ++x) {\\n  draw((x/3,-3.5)--(x/3,1),gray(0.7));\\n}\\n\\ndraw(shift((1,-2))*xscale(2/3)*Circle((0,0),1));\\ndraw((0,-3.5)--(0,1),EndArrow);\\ndraw((-.6,0)--(2.4,0),EndArrow);\\n//for (real i=-1/3; i<=2; i += 1/3)\\n\\t//draw((i,0.1)--(i,-0.1));\\n//for (real i=-3-1/3; i<.9; i += 1/3)\\n\\t//draw((-0.1,i)--(0.1,i));\\n[/asy]\\nSuppose an equation for the ellipse is \\\\[\\\\frac{(x-h)^2}{a^2} + \\\\frac{(y-k)^2}{b^2} = 1,\\\\]where $a, b, h, k$ are constants and $a, b > 0.$ Compute $a+k.$\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}