{"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":"1d18a521-2d7e-5a5c-881d-a4f725f1f0cf","task_key":"prealgebra--test--1d18a521-2d7e-5a5c-881d-a4f725f1f0cf","task_revision_id":"1","upstream_id":"","short_description":"In quadrilateral $ABCD$, angle $BAD$ and angle $CDA$ are trisected as shown.…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"In quadrilateral $ABCD$, angle $BAD$ and angle $CDA$ are trisected as shown. What is the degree measure of angle $AFD$?\\n\\n[asy]\\nsize(150);\\npair A , B, C, D; A = (0,0); B = (2, 4); C = (7,4); D = (7, -2);\\ndraw( (0,0)--(2,4) -- (7,4) -- (7, -2)-- cycle);\\nlabel(\\\"$A$\\\", A, SW);\\nlabel(\\\"$B$\\\", B, NW);\\nlabel(\\\"$C$\\\", C, NE);\\nlabel(\\\"$D$\\\", D, SE);\\npair E, F;\\nE = (4.5-.2,1-.2); F = (5, 3);\\ndraw(A--E--D); draw(A--F--D);\\nlabel(\\\"$E$\\\", E, N); label(\\\"$F$\\\", F, NW);\\ndot(A);dot(B);dot(C);dot(D);dot(E);dot(F);\\nlabel(\\\"$x$\\\", (1, 1.5), S); label(\\\"$x$\\\", (2, 1), S+W); label(\\\"$x$\\\", (2, -1), N+N+N+W);\\nlabel(\\\"$y$\\\", (5.5+.3, .5-.3), S); label(\\\"$y$\\\", (6.5+.3, 0)); label(\\\"$y$\\\", (5+.5, -1.5+.3));\\nlabel(\\\"$110^{\\\\circ}$\\\",(2.5,3.5)); label(\\\"$100^{\\\\circ}$\\\",(6.5-.2,3.5));\\n[/asy]\",\"type\":\"Prealgebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}