{"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 algebra / test selection.","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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"68b434f6-1493-5ce7-98ea-c909ae1a4f74","task_key":"algebra--test--68b434f6-1493-5ce7-98ea-c909ae1a4f74","task_revision_id":"2","upstream_id":"","short_description":"An infinite geometric series has sum 2000. A new series, obtained by squaring…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"An infinite geometric series has sum 2000.  A new series, obtained by squaring each term of the original series, has sum 16 times the sum of the original series.  The common ratio of the original series is $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}