{"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":"dc89cf8c-1078-56e2-b18a-3c0a861acf6e","task_key":"algebra--test--dc89cf8c-1078-56e2-b18a-3c0a861acf6e","task_revision_id":"1","upstream_id":"","short_description":"The equation $y = \\frac{x + A}{Bx + C}$, where $A,B,$ and $C$ are integers, is…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The equation $y = \\\\frac{x + A}{Bx + C}$, where $A,B,$ and $C$ are integers, is shown below. What is $A + B + C$?\\n\\n[asy]\\nimport graph; size(8.14cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-2.52,xmax=5.62,ymin=-4.28,ymax=3.32;\\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(\\\"$x$\\\",xmin,xmax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true); yaxis(\\\"$y$\\\",ymin,ymax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true); real f1(real x){return (-x+4)/(x-2);} draw(graph(f1,-2.51,1.99),linewidth(1.2),Arrows(4)); draw(graph(f1,2.01,5.61),linewidth(1.2),Arrows(4));\\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":[]}