{"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":"9d7b64a1-d081-5c7b-a473-93970f5a8bff","task_key":"geometry--test--9d7b64a1-d081-5c7b-a473-93970f5a8bff","task_revision_id":"1","upstream_id":"","short_description":"The intersection of the graphic solutions of all three inequalities listed below…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The intersection of the graphic solutions of all three inequalities listed below form an enclosed region in the coordinate plane.  What is the area of this region?  Express your answer in terms of $\\\\pi$. \\\\[\\n\\\\left\\\\{\\n\\\\begin{array}{l}\\n(x-4)^2+y^2\\\\leq 16 \\\\\\\\\\ny \\\\geq x-4 \\\\\\\\\\ny\\\\geq -\\\\frac{1}{3}x\\n\\\\end{array}\\n\\\\right.\\n\\\\]\",\"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":[]}