{"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":"6e6c36a2-3940-582a-b1d7-95b4a9a463a2","task_key":"intermediate~5falgebra--test--6e6c36a2-3940-582a-b1d7-95b4a9a463a2","task_revision_id":"1","upstream_id":"","short_description":"A rectangular piece of paper measures 4 units by 5 units. Several lines are…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"A rectangular piece of paper measures 4 units by 5 units. Several lines are drawn parallel to the edges of the paper, going from one edge to the other. A rectangle determined by the intersections of some of these lines is called basic if\\n\\n(i) all four sides of the rectangle are segments of drawn line segments, and\\n(ii) no segments of drawn lines lie inside the rectangle.\\n\\nGiven that the total length of all lines drawn is exactly 2007 units, let $N$ be the maximum possible number of basic rectangles determined.  Find $N$.\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}