{"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":"5c92ecb2-104b-5354-bd1f-8f6561951eaf","task_key":"number~5ftheory--test--5c92ecb2-104b-5354-bd1f-8f6561951eaf","task_revision_id":"1","upstream_id":"","short_description":"Lizzy, Megan, Oscar, and Patrick each have $x$ pieces of candy, where $x$ is a…","config":"number_theory","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Lizzy, Megan, Oscar, and Patrick each have $x$ pieces of candy, where $x$ is a positive integer. Unfortunately, Patrick is the only one of the four who likes candy. So Lizzy gives all her candy to Megan. Then Megan gives all the candy she now has (which includes the candy Lizzy gave her) to Oscar. Then Oscar gives all the candy he now has to Patrick.\\n\\nLet $P$ be the number of pieces of candy Patrick has in the end. How many of the following statements are true? (Assume that we do not know exactly what $x$ is.)\\n\\n(a) $2$ can be a divisor of $P$.\\n(b) $2$ must be a divisor of $P$.\\n(c) $3$ can be a divisor of $P$.\\n(d) $3$ must be a divisor of $P$.\\n(e) $4$ can be a divisor of $P$.\\n(f) $4$ must be a divisor of $P$.\",\"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":[]}