{"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":"b147d141-b4a9-5ecb-af17-705b1eb70518","task_key":"intermediate~5falgebra--test--b147d141-b4a9-5ecb-af17-705b1eb70518","task_revision_id":"1","upstream_id":"","short_description":"For any two real numbers $x$ and $y,$ define","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"For any two real numbers $x$ and $y,$ define\\n\\\\[x \\\\star y = ax + by + cxy,\\\\]where $a,$ $b,$ and $c$ are constants.  It is known that $1 \\\\star 2 = 3,$ $2 \\\\star 3 = 4,$ and there is a non-zero real number $d$ such that $x \\\\star d = x$ for any real number $x.$  What is the value of $d$?\",\"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":[]}