{"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":"b1521fd5-294c-5ea9-b176-0475ab0294ec","task_key":"algebra--test--b1521fd5-294c-5ea9-b176-0475ab0294ec","task_revision_id":"1","upstream_id":"","short_description":"Rationalize the denominator of $\\frac{\\sqrt{5}+\\sqrt{2}}{\\sqrt{5}-\\sqrt{2}}$.…","config":"algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Rationalize the denominator of $\\\\frac{\\\\sqrt{5}+\\\\sqrt{2}}{\\\\sqrt{5}-\\\\sqrt{2}}$. The answer can be written as $\\\\frac{A+B\\\\sqrt{C}}{D}$, where $A$, $B$, $C$, and $D$ are integers, $D$ is positive, and $C$ is not divisible by the square of any prime. If the greatest common divisor of $A$, $B$, and $D$ is 1, find $A+B+C+D$.\",\"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":[]}