{"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":"7abb6070-e0c4-50cf-8fae-7eccc85d41ee","task_key":"geometry--test--7abb6070-e0c4-50cf-8fae-7eccc85d41ee","task_revision_id":"1","upstream_id":"","short_description":"In the diagram, if $\\triangle ABC$ and $\\triangle PQR$ are equilateral, then…","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"In the diagram, if $\\\\triangle ABC$ and $\\\\triangle PQR$ are equilateral, then what is the measure of $\\\\angle CXY$ in degrees? [asy]\\nimport cse5;\\nsize(8cm);\\ndraw((-0.8, 0)--(1.5, 0));\\npair b = (0, 0); pair p = (0.75, 0);\\npair a = dir(180 - 65); pair c = dir(55);\\npair q = shift(p) * (1.7 * dir(75)); pair r = shift(p) * (1.7 * dir(60 + 75));\\ndraw(a--b--c--cycle); draw(p--q--r--cycle);\\n\\nlabel(\\\"$B$\\\", b, S); label(\\\"$P$\\\", p, S); label(\\\"$R$\\\", r, NW); label(\\\"$Q$\\\", q, NE);\\nlabel(\\\"$A$\\\", a, W); label(\\\"$C$\\\", c, E); label(\\\"$X$\\\", IP(r--p, a--c), NE); label(\\\"$Y$\\\", IP(r--p, c--b), 2 * E);\\n\\nlabel(\\\"$65^\\\\circ$\\\", b, W + NW+ NW); label(\\\"$75^\\\\circ$\\\", p, 0.5 * E + NE + NE);\\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":[]}