{"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":"6f17aed9-4ab9-56c7-95ed-2313cb644512","task_key":"algebra--test--6f17aed9-4ab9-56c7-95ed-2313cb644512","task_revision_id":"1","upstream_id":"","short_description":"Find the largest $x$-value at which the graphs of $f(x)=e^{3x^2-|\\lfloor x…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Find the largest $x$-value at which the graphs of $f(x)=e^{3x^2-|\\\\lfloor x \\\\rfloor|!}+\\\\binom{22+735235|\\\\lfloor x \\\\rfloor |}{2356}+\\\\phi(|\\\\lfloor x \\\\rfloor|+1)+72x^4+3x^3-6x^2+2x+1$ and $g(x)=e^{3x^2-|\\\\lfloor x \\\\rfloor|!}+\\\\binom{22+735235|\\\\lfloor x \\\\rfloor |}{2356}+\\\\phi(|\\\\lfloor x \\\\rfloor|+1)+72x^4+4x^3-11x^2-6x+13$ intersect, where $\\\\lfloor x \\\\rfloor$ denotes the floor function of $x$, and $\\\\phi(n)$ denotes the sum of the positive integers $\\\\le$ and relatively prime to $n$.\",\"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":[]}