{"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":"66861970-8dfe-5289-87f0-ee81ac5f38e5","task_key":"test--66861970-8dfe-5289-87f0-ee81ac5f38e5","task_revision_id":"1","upstream_id":"","short_description":"The polynomial \\( f(x)=x^{2007}+17 x^{2006}+1 \\) has distinct zeroes \\( r_{1},…","config":"","split":"test","body":"{\"problem\":\"The polynomial \\\\( f(x)=x^{2007}+17 x^{2006}+1 \\\\) has distinct zeroes \\\\( r_{1}, \\\\ldots, r_{2007} \\\\). A polynomial \\\\( P \\\\) of degree 2007 has the property that \\\\( P\\\\left(r_{j}+\\\\frac{1}{r_{j}}\\\\right)=0 \\\\) for \\\\( j=1, \\\\ldots, 2007 \\\\). Determine the value of \\\\( P(1) / P(-1) \\\\).\"}","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":[]}