{"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":"a81e786c-baf6-509d-af85-9dc2b3175389","task_key":"test--a81e786c-baf6-509d-af85-9dc2b3175389","task_revision_id":"1","upstream_id":"","short_description":"Let $\\mathcal{A}$ denote the set of all polynomials in three variables $x, y, z$…","config":"","split":"test","body":"{\"problem\":\"Let $\\\\mathcal{A}$ denote the set of all polynomials in three variables $x, y, z$ with integer coefficients. Let $\\\\mathcal{B}$ denote the subset of $\\\\mathcal{A}$ formed by all polynomials which can be expressed as\\n\\\\begin{align*}\\n(x + y + z)P(x, y, z) + (xy + yz + zx)Q(x, y, z) + xyzR(x, y, z)\\n\\\\end{align*}\\nwith $P, Q, R \\\\in \\\\mathcal{A}$.  Find the smallest non-negative integer $n$ such that $x^i y^j z^k \\\\in \\\\mathcal{B}$ for all non-negative integers $i, j, k$ satisfying $i + j + k \\\\geq n$.\"}","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":[]}