{"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":"26df3672-7f4b-5fd4-a985-bd69c2dc89b3","task_key":"algebra--test--26df3672-7f4b-5fd4-a985-bd69c2dc89b3","task_revision_id":"1","upstream_id":"","short_description":"If $x^2 + bx + b + 3 = 0$ has roots of the form $\\frac{-b \\pm \\sqrt{5}}{2}$,…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"If $x^2 + bx + b + 3 = 0$ has roots of the form $\\\\frac{-b \\\\pm \\\\sqrt{5}}{2}$, where $b > 0 $, then $b = m+\\\\sqrt{n}$ for positive integers $m,n$. Find $m + n$.\",\"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":[]}