{"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":"7d618729-f89f-5ff7-b548-4c72f27a1b77","task_key":"geometry--test--7d618729-f89f-5ff7-b548-4c72f27a1b77","task_revision_id":"1","upstream_id":"","short_description":"A hexagon is inscribed in a circle: [asy]","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"A hexagon is inscribed in a circle: [asy]\\npair pA, pB, pC, pD, pE, pF, pO;\\npO = (0, 0);\\npA = pO + dir(-10);\\npB = pO + dir(60);\\npC = pO + dir(130);\\npD = pO + dir(170);\\npE = pO + dir(-160);\\npF = pO + dir(-80);\\ndraw(pA--pB--pC--pD--pE--pF--pA);\\nlabel(\\\"$105^\\\\circ$\\\", pF, N * 2);\\nlabel(\\\"$110^\\\\circ$\\\", pB, SW * 1.5);\\nlabel(\\\"$\\\\alpha$\\\", pD, E);\\ndraw(circle(pO, 1));\\n[/asy] What is the measure of $\\\\alpha$, in degrees?\",\"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":[]}