{"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":"e4f9e893-d05d-5f77-b4ca-d69249215c02","task_key":"intermediate~5falgebra--test--e4f9e893-d05d-5f77-b4ca-d69249215c02","task_revision_id":"1","upstream_id":"","short_description":"Determine $w^2+x^2+y^2+z^2$ if","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Determine $w^2+x^2+y^2+z^2$ if\\n\\\\[\\\\begin{aligned} \\\\frac{x^2}{2^2-1}+\\\\frac{y^2}{2^2-3^2}+\\\\frac{z^2}{2^2-5^2}+\\\\frac{w^2}{2^2-7^2}&= 1 \\\\\\\\\\n\\\\frac{x^2}{4^2-1}+\\\\frac{y^2}{4^2-3^2}+\\\\frac{z^2}{4^2-5^2}+\\\\frac{w^2}{4^2-7^2} &= 1 \\\\\\\\\\n\\\\frac{x^2}{6^2-1}+\\\\frac{y^2}{6^2-3^2}+\\\\frac{z^2}{6^2-5^2}+\\\\frac{w^2}{6^2-7^2} &= 1 \\\\\\\\\\n\\\\frac{x^2}{8^2-1}+\\\\frac{y^2}{8^2-3^2}+\\\\frac{z^2}{8^2-5^2}+\\\\frac{w^2}{8^2-7^2} &= 1. \\\\end{aligned}\\\\]\",\"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":[]}