{"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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"9024b830-79af-5040-8752-2176eb4be677","task_key":"test--9024b830-79af-5040-8752-2176eb4be677","task_revision_id":"4","upstream_id":"","short_description":"Find all functions $f: \\mathbb{R}^2 \\rightarrow \\mathbb{R}$, such that","config":"","split":"test","body":"{\"problem\":\"Find all functions $f: \\\\mathbb{R}^2 \\\\rightarrow \\\\mathbb{R}$, such that\\n1) $f(0,x)$ is non-decreasing ;\\n2) for any $x,y \\\\in \\\\mathbb{R}$, $f(x,y)=f(y,x)$ ;\\n3) for any $x,y,z \\\\in \\\\mathbb{R}$, $(f(x,y)-f(y,z))(f(y,z)-f(z,x))(f(z,x)-f(x,y))=0$ ;\\n4) for any $x,y,a \\\\in \\\\mathbb{R}$, $f(x+a,y+a)=f(x,y)+a$ .\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}