{"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":"0fa9dbff-0692-50dc-9e91-fbab6ee2810b","task_key":"test--0fa9dbff-0692-50dc-9e91-fbab6ee2810b","task_revision_id":"1","upstream_id":"","short_description":"Let $c>0$ be a given positive real and $\\mathbb{R}_{>0}$ be the set of all…","config":"","split":"test","body":"{\"problem\":\"Let $c>0$ be a given positive real and $\\\\mathbb{R}_{>0}$ be the set of all positive reals. Find all functions $f \\\\colon \\\\mathbb{R}_{>0} \\\\to \\\\mathbb{R}_{>0}$ such that \\\\[f((c+1)x+f(y))=f(x+2y)+2cx \\\\quad \\\\textrm{for all } x,y \\\\in \\\\mathbb{R}_{>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":[]}