{"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":"9daec11c-21de-50b4-a4b2-6abb79ede9dc","task_key":"algebra--test--9daec11c-21de-50b4-a4b2-6abb79ede9dc","task_revision_id":"1","upstream_id":"","short_description":"Rationalize the denominator: $\\frac{1}{1 + \\sqrt{2} - \\sqrt{3}}$. The simplified…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Rationalize the denominator: $\\\\frac{1}{1 + \\\\sqrt{2} - \\\\sqrt{3}}$. The simplified result can be written in the form $\\\\frac{\\\\sqrt{2} + a + \\\\sqrt{b}}{c}$, where $a$, $b$, and $c$, are positive integers. What is $a + b + c$?\",\"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":[]}