{"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":"d5186a43-90de-59a8-bbed-a92baf8a9743","task_key":"algebra--test--d5186a43-90de-59a8-bbed-a92baf8a9743","task_revision_id":"1","upstream_id":"","short_description":"The smallest distance between the origin and a point on the graph of…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The smallest distance between the origin and a point on the graph of $y=\\\\frac{1}{\\\\sqrt{2}}\\\\left(x^2-3\\\\right)$ can be expressed as $\\\\sqrt{a}/b$, where $a$ and $b$ are positive integers such that $a$ is not divisible by the square of any integer greater than one.  Find $a+b$.\",\"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":[]}