{"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":"26aff533-03bd-500f-bb99-aabc0e0f93a2","task_key":"algebra--test--26aff533-03bd-500f-bb99-aabc0e0f93a2","task_revision_id":"1","upstream_id":"","short_description":"Let \\[f(x) =","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let \\\\[f(x) =\\n\\\\begin{cases}\\n5x^2+2&\\\\text{if } x\\\\le a, \\\\\\\\\\n11x &\\\\text{if } x>a.\\n\\\\end{cases}\\n\\\\]Find the smallest possible value for $a$ if the graph of $y=f(x)$ is continuous (which means the graph can be drawn without lifting your pencil from the paper).\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}