{"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":"2b950598-96c7-59e1-a5d6-6a19b31ca350","task_key":"intermediate~5falgebra--test--2b950598-96c7-59e1-a5d6-6a19b31ca350","task_revision_id":"1","upstream_id":"","short_description":"The graph of the rational function $\\frac{p(x)}{q(x)}$ is shown below, with a…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The graph of the rational function $\\\\frac{p(x)}{q(x)}$ is shown below, with a horizontal asymptote at $y = 0$. If $q(x)$ is quadratic, $p(2)=2$, and $q(-1) = 18$, find $p(x) + q(x).$\\n[asy]\\nsize(8cm);\\nimport graph;\\n\\nLabel f; \\nf.p=fontsize(6); \\n\\nreal f(real x) {return 2*(x-1)/(3*(x-2)*(x-1));}\\n\\nint gridsize = 5;\\ndraw((-gridsize,0)--(gridsize,0), black+1bp, Arrows(8));\\ndraw((0,-gridsize)--(0, gridsize), black+1bp, Arrows(8));\\nlabel(\\\"$x$\\\", (gridsize, 0), E);\\nlabel(\\\"$y$\\\", (0, gridsize), N);\\nlabel(\\\"$0$\\\", (0,0),SE, p=fontsize(8pt));\\nfor (int i=-gridsize+1; i<0; ++i){\\n    label(\\\"$\\\"+string(i)+\\\"$\\\",(i,0),S, p=fontsize(8pt));\\n    label(\\\"$\\\"+string(i)+\\\"$\\\",(0,i),E, p=fontsize(8pt));}\\nfor (int i=1; i<=gridsize-1; ++i){\\n    label(\\\"$\\\"+string(i)+\\\"$\\\",(i,0),S, p=fontsize(8pt));\\n    label(\\\"$\\\"+string(i)+\\\"$\\\",(0,i),E, p=fontsize(8pt));}\\n\\n\\n\\ndraw(graph(f,-5,.85));\\ndraw(graph(f,1.15,1.85));\\ndraw(graph(f,2.15,5));\\ndraw((2,-5)--(2,5), dashed);\\ndraw(circle((1,-2/3),.15));\\n\\n[/asy]\",\"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":[]}