{"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":"83dcad54-d605-5b60-ab77-684cf46e682a","task_key":"algebra--test--83dcad54-d605-5b60-ab77-684cf46e682a","task_revision_id":"1","upstream_id":"","short_description":"Suppose that $a$, $b$, and $c$ are real numbers such that $\\frac{a}{b} =…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Suppose that $a$, $b$, and $c$ are real numbers such that $\\\\frac{a}{b} = \\\\frac{\\\\sqrt{10}}{\\\\sqrt{21}}$ and $\\\\frac{b}{c} = \\\\frac{\\\\sqrt{135}}{\\\\sqrt{8}}$. Find $\\\\frac{a}{c}$. Completely simplify and rationalize the denominator.\",\"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":[]}