{"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 algebra / test selection.","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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"f4ef6031-5a60-5848-a4b6-c1a660c1a7f8","task_key":"algebra--test--f4ef6031-5a60-5848-a4b6-c1a660c1a7f8","task_revision_id":"2","upstream_id":"","short_description":"Below are the graphs of two functions, $f(x)$ and $g(x)$, defined on the domain…","config":"algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Below are the graphs of two functions, $f(x)$ and $g(x)$, defined on the domain $0\\\\le x\\\\le 18$:\\n\\n[asy]\\nimport graph; size(8cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-1.5,xmax=18.5,ymin=-1.5,ymax=12.5;\\n\\npen cqcqcq=rgb(0.75,0.75,0.75);\\n\\n/*grid*/ pen gs=linewidth(0.7)+cqcqcq+linetype(\\\"2 2\\\"); real gx=1,gy=1;\\nfor(real i=ceil(xmin/gx)*gx;i<=floor(xmax/gx)*gx;i+=gx) draw((i,ymin)--(i,ymax),gs); for(real i=ceil(ymin/gy)*gy;i<=floor(ymax/gy)*gy;i+=gy) draw((xmin,i)--(xmax,i),gs);\\n\\nLabel laxis; laxis.p=fontsize(10);\\n\\nxaxis(\\\"\\\",xmin,xmax,Ticks(laxis,Step=2.0,Size=2,NoZero),Arrows(6),above=true); yaxis(\\\"\\\",ymin,ymax,Ticks(laxis,Step=2.0,Size=2,NoZero),Arrows(6),above=true);\\ndraw((0,10)--(2,10)--(8,4)--(10,4)--(18,12),darkgreen+1.5);\\ndraw((0,2)--(6,8)--(10,8)--(12,10)--(18,10),orange+dashed+1.5);\\n[/asy]\\n\\nIf the graph of $f(x)$ is the dashed orange line, and the graph of $g(x)$ is the solid green line, what is the largest value of $f(x)-g(x)$?\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}