{"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":"e21b0fcc-f8e5-58dc-86a0-3dbea70b4443","task_key":"geometry--test--e21b0fcc-f8e5-58dc-86a0-3dbea70b4443","task_revision_id":"1","upstream_id":"","short_description":"The set of all solutions of the system \\[ \\begin{cases}& 2x+y \\le 4 \\\\& x+y \\ge…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"The set of all solutions of the system  \\\\[ \\\\begin{cases}& 2x+y \\\\le 4 \\\\\\\\& x+y \\\\ge 1 \\\\\\\\& x \\\\ge 0 \\\\\\\\& y \\\\ge 0 \\\\end{cases} \\\\] is a quadrilateral region. If the number of units in the length of the longest side is $a\\\\sqrt{b}$ (expressed in simplest radical form), find $a+b$.\",\"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":[]}