{"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":"9b5be5ea-3da8-5d8c-93d9-bfdcb5664899","task_key":"intermediate~5falgebra--test--9b5be5ea-3da8-5d8c-93d9-bfdcb5664899","task_revision_id":"1","upstream_id":"","short_description":"In the five-sided star shown, the letters $A$, $B$, $C$, $D$, and $E$ are…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"In the five-sided star shown, the letters $A$, $B$, $C$, $D$, and $E$ are replaced by the numbers $3$, $5$, $6$, $7$, and $9$, although not necessarily in this order. The sums of the numbers at the ends of the line segments $AB$, $BC$, $CD$, $DE$, and $EA$ form an arithmetic sequence, although not necessarily in this order. What is the middle term of the sequence?\\n\\n[asy]\\nunitsize(2 cm);\\n\\npair A, B, C, D, E;\\n\\nA = dir(90);\\nB = dir(90 + 3*360/5);\\nC = dir(90 + 6*360/5);\\nD = dir(90 + 9*360/5);\\nE = dir(90 + 12*360/5);\\n\\ndraw(A--B--C--D--E--cycle);\\nfilldraw(Circle(A,0.15),white);\\nfilldraw(Circle(B,0.15),white);\\nfilldraw(Circle(C,0.15),white);\\nfilldraw(Circle(D,0.15),white);\\nfilldraw(Circle(E,0.15),white);\\n\\nlabel(\\\"$A$\\\", A);\\nlabel(\\\"$B$\\\", B);\\nlabel(\\\"$C$\\\", C);\\nlabel(\\\"$D$\\\", D);\\nlabel(\\\"$E$\\\", E);\\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":[]}