{"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":"bbffef23-27b5-55ac-b14e-58508347cd0d","task_key":"geometry--test--bbffef23-27b5-55ac-b14e-58508347cd0d","task_revision_id":"1","upstream_id":"","short_description":"In circle $O$, $\\overline{PN}$ and $\\overline{GA}$ are diameters and m$\\angle…","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"In circle $O$, $\\\\overline{PN}$ and $\\\\overline{GA}$ are diameters and m$\\\\angle GOP=78^\\\\circ$. How many degrees are in the measure of $\\\\angle NGA$? [asy]\\ndraw((0,1)..(1,0)..(0,-1)..(-1,0)..cycle);\\ndraw((.777,.629)--(-.777,-.629));\\ndraw((-.777,.629)--(.777,-.629));\\ndraw((.777,.629)--(-.777,.629));\\nlabel(\\\"$O$\\\",(0,0),S);\\nlabel(\\\"$N$\\\",(.777,.629),NE);\\nlabel(\\\"$A$\\\",(.777,-.629),SE);\\nlabel(\\\"$P$\\\",(-.777,-.629),SW);\\nlabel(\\\"$G$\\\",(-.777,.629),NW);\\nlabel(\\\"$78^\\\\circ$\\\",(0,0),2W);\\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":[]}