{"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":"6ecd16e0-1b33-514d-a9f9-5e028d48183c","task_key":"geometry--test--6ecd16e0-1b33-514d-a9f9-5e028d48183c","task_revision_id":"1","upstream_id":"","short_description":"In circle $J$, $HO$ and $HN$ are tangent to the circle at $O$ and $N$. Find the…","config":"geometry","split":"test","body":"{\"level\":\"Level 1\",\"problem\":\"In circle $J$, $HO$ and $HN$ are tangent to the circle at $O$ and $N$. Find the number of degrees in the sum of $m\\\\angle J$ and $m\\\\angle H$. [asy]\\nsize(150);\\nimport graph;\\npair J = (0,0), H = (6,0), O, N;\\npath circ = Circle(J,3);\\npair M = midpoint(J--H);\\npath secCirc = Circle(M,3);\\npair[] tangentPoints = intersectionpoints(circ,secCirc);\\nO = tangentPoints[0]; N = tangentPoints[1];\\ndraw(J--N--H--O--cycle);\\ndraw(circ);\\nlabel(\\\"$H$\\\",H,E);\\nlabel(\\\"$J$\\\",J,W);\\nlabel(\\\"$N$\\\",N,S);\\nlabel(\\\"$O$\\\",O,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":[]}