{"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":"28f39790-06c8-5c8a-9497-40eb1ad13bcc","task_key":"algebra--test--28f39790-06c8-5c8a-9497-40eb1ad13bcc","task_revision_id":"1","upstream_id":"","short_description":"Suppose that $a$ and $b$ are positive real numbers, and let \\[f(x) =","config":"algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Suppose that $a$ and $b$ are positive real numbers, and let \\\\[f(x) =\\n\\\\begin{cases}\\n\\\\frac{a}{b}x & \\\\text{ if }x\\\\le-4, \\\\\\\\\\nabx^2 & \\\\text{ if }x>-4.\\n\\\\end{cases}\\n\\\\]If $f(-4)=-\\\\frac{60}{13}$ and $f(4)=3120$, what is $a+b$?\",\"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":[]}