{"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":"8fd89143-6146-5231-ae8a-ae4d0c958f19","task_key":"test--8fd89143-6146-5231-ae8a-ae4d0c958f19","task_revision_id":"1","upstream_id":"","short_description":"Find all real-coefficient polynomials $f(x)$ which satisfy the following…","config":"","split":"test","body":"{\"problem\":\"Find all real-coefficient polynomials $f(x)$ which satisfy the following conditions:\\n\\n[b]i.[/b] $f(x) = a_0 x^{2n} + a_2 x^{2n - 2} + \\\\cdots + a_{2n - 2}\\nx^2 + a_{2n}, a_0 > 0$;\\n[b]ii.[/b] $\\\\sum_{j=0}^n a_{2j} a_{2n - 2j} \\\\leq \\\\left(\\n\\\\begin{array}{c}\\n2n\\\\\\\\\\nn\\\\end{array} \\\\right) a_0 a_{2n}$;\\n[b]iii.[/b] All the roots of $f(x)$ are imaginary numbers with no real part.\"}","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":[]}