{"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":"e06afe86-7745-575e-8034-7517b57ee93c","task_key":"number~5ftheory--test--e06afe86-7745-575e-8034-7517b57ee93c","task_revision_id":"1","upstream_id":"","short_description":"Suppose that $$\\begin{array}{@{}c@{\\;}c@{}c@{}c} && &P_b \\\\ & \\times & & P_b \\\\…","config":"number_theory","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Suppose that $$\\\\begin{array}{@{}c@{\\\\;}c@{}c@{}c} && &P_b \\\\\\\\ & \\\\times & & P_b \\\\\\\\ \\\\cline{2-4} & & Q & P_b, \\\\\\\\ \\\\end{array} $$where $P$, $Q$, and $b$ represent three distinct digits 1-9. If $Q=\\\\frac{P}{2}$, and $P$ is two less than $b$, what is the value of the digit $P$?\",\"type\":\"Number Theory\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}