{"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":"4f63f447-f0d8-51a7-bdb6-25409d5f8d8e","task_key":"test--4f63f447-f0d8-51a7-bdb6-25409d5f8d8e","task_revision_id":"3","upstream_id":"","short_description":"Choose positive integers $b_1, b_2, \\dotsc$ satisfying","config":"","split":"test","body":"{\"problem\":\"Choose positive integers $b_1, b_2, \\\\dotsc$ satisfying\\n\\\\[1=\\\\frac{b_1}{1^2} > \\\\frac{b_2}{2^2} > \\\\frac{b_3}{3^2} > \\\\frac{b_4}{4^2} > \\\\dotsb\\\\]\\nand let $r$ denote the largest real number satisfying $\\\\tfrac{b_n}{n^2} \\\\geq r$ for all positive integers $n$. What are the possible values of $r$ across all possible choices of the sequence $(b_n)$?\\n\\n[i]Carl Schildkraut and Milan Haiman[/i]\"}","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":[]}