{"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":"d47248cb-8fdf-5016-a49b-9a0635798f00","task_key":"geometry--test--d47248cb-8fdf-5016-a49b-9a0635798f00","task_revision_id":"1","upstream_id":"","short_description":"In the diagram, $PRT$ and $QRS$ are straight lines. What is the value of $x$?…","config":"geometry","split":"test","body":"{\"level\":\"Level 1\",\"problem\":\"In the diagram, $PRT$ and $QRS$ are straight lines. What is the value of $x$? [asy]\\nimport olympiad;\\nimport math;\\n\\nsize(6cm); // ADJUST\\n\\npair r = (0, 0);\\npair t = dir(-55);\\npair s = dir(-55 - 70);\\npair p = dir(-55 + 180);\\nreal qr = Sin(70) / Sin(40);\\n\\npair q = qr * dir(-55 - 70 + 180);\\n\\ndraw(r--p--q--s--t--r);\\n\\nlabel(\\\"$R$\\\", r, 2 * E);\\nlabel(\\\"$T$\\\", t, SE);\\nlabel(\\\"$S$\\\", s, SW);\\nlabel(\\\"$P$\\\", p, W);\\nlabel(\\\"$Q$\\\", q, E);\\n\\nlabel(\\\"$x^\\\\circ$\\\", t, W + NW + NW);\\nlabel(\\\"$40^\\\\circ$\\\", q, 4 * SW);\\n\\nadd(pathticks(p--q, spacing=1, s=4));\\nadd(pathticks(q--r, spacing=1, s=4));\\nadd(pathticks(r--s, 2, spacing=1, s=4));\\nadd(pathticks(r--t, 2, spacing=1, s=4));\\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":[]}