{"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":"1df8d3ac-8f04-5446-baef-066655f4245d","task_key":"test--1df8d3ac-8f04-5446-baef-066655f4245d","task_revision_id":"1","upstream_id":"","short_description":"For a real number $r$, set $\\|r\\|=\\min \\{|r-n|: n \\in \\mathbb{Z}\\}$, where…","config":"","split":"test","body":"{\"problem\":\"For a real number $r$, set $\\\\|r\\\\|=\\\\min \\\\{|r-n|: n \\\\in \\\\mathbb{Z}\\\\}$, where $|\\\\cdot|$ means the absolute value of a real number. 1. Is there a nonzero real number $s$, such that $\\\\lim _{n \\\\rightarrow \\\\infty}\\\\left\\\\|(\\\\sqrt{2}+1)^{n} s\\\\right\\\\|=0$ ? 2. Is there a nonzero real number $s$, such that $\\\\lim _{n \\\\rightarrow \\\\infty}\\\\left\\\\|(\\\\sqrt{2}+3)^{n} s\\\\right\\\\|=0$ ?\"}","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":[]}