{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"omni-math","formal_name":"Omni-MATH","introduction":"Omni-MATH evaluates mathematical reasoning on Olympiad-level problems. Its official dataset contains 4,428 problems accompanied by domain and difficulty information.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/KbsdJames/Omni-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":"7f8e5185-7aa1-5933-90b6-cacb13d57b3b","task_key":"test--7f8e5185-7aa1-5933-90b6-cacb13d57b3b","task_revision_id":"1","upstream_id":"","short_description":"For every $ n\\in\\mathbb{N}$ let $ d(n)$ denote the number of (positive) divisors…","config":"","split":"test","body":"{\"problem\":\"For every $ n\\\\in\\\\mathbb{N}$ let $ d(n)$ denote the number of (positive) divisors of $ n$. Find all functions $ f: \\\\mathbb{N}\\\\to\\\\mathbb{N}$ with the following properties: [list][*] $ d\\\\left(f(x)\\\\right) \\\\equal{} x$ for all $ x\\\\in\\\\mathbb{N}$.\\n[*] $ f(xy)$ divides $ (x \\\\minus{} 1)y^{xy \\\\minus{} 1}f(x)$ for all $ x$, $ y\\\\in\\\\mathbb{N}$.[/list]\\n\\n[i]\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}