{"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":"ff242ec2-8746-5a9e-875a-799c98c48815","task_key":"intermediate~5falgebra--test--ff242ec2-8746-5a9e-875a-799c98c48815","task_revision_id":"1","upstream_id":"","short_description":"For any sequence of real numbers $A=(a_1,a_2,a_3,\\ldots)$, define $\\Delta A$ to…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"For any sequence of real numbers $A=(a_1,a_2,a_3,\\\\ldots)$, define $\\\\Delta A$ to be the sequence $(a_2-a_1,a_3-a_2,a_4-a_3,\\\\ldots)$, whose $n^{\\\\text{th}}$ term is $a_{n+1}-a_n$. Suppose that all of the terms of the sequence $\\\\Delta(\\\\Delta A)$ are $1$, and that $a_{19}=a_{92}=0$. Find $a_1$.\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}