{"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":"20498a4d-7012-5899-a868-75ca55e831f9","task_key":"geometry--test--20498a4d-7012-5899-a868-75ca55e831f9","task_revision_id":"1","upstream_id":"","short_description":"Points $A,$ $B,$ and $C$ are placed on a circle centered at $O$ as in the…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Points $A,$ $B,$ and $C$ are placed on a circle centered at $O$ as in the following diagram: [asy]\\npair pA, pB, pC, pO;\\npO = (0, 0);\\npA = pO + dir(-40);\\npB = pO + dir(32);\\npC = pO + dir(176);\\ndraw(pA--pO--pB--pC--pA);\\nlabel(\\\"$O$\\\", pO, 2 * E);\\nlabel(\\\"$A$\\\", pA, SE);\\nlabel(\\\"$B$\\\", pB, NE);\\nlabel(\\\"$C$\\\", pC, W);\\ndraw(circle(pO, 1));\\n[/asy] If $AC = BC$ and $\\\\angle OAC = 18^\\\\circ,$ then how many degrees are in $\\\\angle AOB$?\",\"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":[]}