{"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":"5c915f2f-cbae-502e-9d1e-f0f28d2bcab5","task_key":"geometry--test--5c915f2f-cbae-502e-9d1e-f0f28d2bcab5","task_revision_id":"1","upstream_id":"","short_description":"A cube of edge length $s > 0$ has the property that its surface area is equal to…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A cube of edge length $s > 0$ has the property that its surface area is equal to the sum of its volume and five times its edge length. Compute the sum of all possible values of $s$.\\n\\n[asy]\\n\\nsize(5cm,5cm);\\n\\npair A,B,C,D,E,F,G,H;\\n\\nA=(0,0);\\nB=(1,0);\\nC=(1,1);\\nD=(0,1);\\nE=(0.3,1.5);\\nF=C+(E-D);\\nG=B+(E-D);\\nH=A+(E-D);\\n\\ndraw(A--B--C--D--A--H--E);\\ndraw(D--C--F);\\ndraw(H--G);\\ndraw(D--E--F--G--B);\\n\\ndot(A);\\ndot(B);\\ndot(C);\\ndot(D);\\ndot(E);\\ndot(F);\\ndot(G);\\ndot(H);\\n\\n[/asy]\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}