{"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":"bd508264-bfee-5a90-8a49-93b8211b7699","task_key":"algebra--test--bd508264-bfee-5a90-8a49-93b8211b7699","task_revision_id":"1","upstream_id":"","short_description":"If $f(x)$, whose graph is shown below, is defined on $1 \\le x \\le 6$, what is…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"If $f(x)$, whose graph is shown below, is defined on $1 \\\\le x \\\\le 6$, what is the maximum value of $f^{-1}(x)$? [asy]\\n\\nimport graph; size(7.94cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-0.96,xmax=8.96,ymin=-2.66,ymax=4.38;\\n\\nLabel laxis; laxis.p=fontsize(10);\\n\\nxaxis(\\\"$x$\\\",-0.96,8.96,Ticks(laxis,Step=1.0,Size=2,OmitTick(0)),Arrows(6),above=true); yaxis(\\\"$y$\\\",-2.66,4.38,Ticks(laxis,Step=1.0,Size=2,OmitTick(0)),Arrows(6),above=true); draw((1,2)--(3,0),linewidth(1.2)); draw((3,3)--(5,2),linewidth(1.2)); draw((5,-2)--(6,0),linewidth(1.2)); filldraw(circle((5,-2),0.08),white); label(\\\"$ f(x) $\\\",(0.5,4.3),SE*lsf);\\n\\ndot((3,0),UnFill(0)); dot((1,2)); dot((3,3)); dot((5,2),ds); dot((6,0));\\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":[]}