{"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 algebra / test selection.","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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"97ee7ef6-6a41-546a-984e-926c7e89b848","task_key":"algebra--test--97ee7ef6-6a41-546a-984e-926c7e89b848","task_revision_id":"2","upstream_id":"","short_description":"Two positive numbers $p$ and $q$ have the property that their sum is equal to…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Two positive numbers $p$ and $q$ have the property that their sum is equal to their product. If their difference is $7$, what is $\\\\frac{1}{\\\\frac{1}{p^2}+\\\\frac{1}{q^2}}$? Your answer will be of the form $\\\\frac{a+b\\\\sqrt{c}}{d}$, where $a$ and $b$ don't both share the same common factor with $d$ and $c$ has no square as a factor. Find $a+b+c+d$.\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}