{"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":"a4c0eaf0-ab9b-5fce-838d-6fd89fbc56cb","task_key":"test--a4c0eaf0-ab9b-5fce-838d-6fd89fbc56cb","task_revision_id":"1","upstream_id":"","short_description":"A natural number $n$ is given. Determine all $(n - 1)$-tuples of nonnegative…","config":"","split":"test","body":"{\"problem\":\"A natural number $n$ is given. Determine all $(n - 1)$-tuples of nonnegative integers $a_1, a_2, ..., a_{n - 1}$ such that\\n$$\\\\lfloor \\\\frac{m}{2^n - 1}\\\\rfloor + \\\\lfloor \\\\frac{2m + a_1}{2^n - 1}\\\\rfloor + \\\\lfloor \\\\frac{2^2m + a_2}{2^n - 1}\\\\rfloor + \\\\lfloor \\\\frac{2^3m + a_3}{2^n - 1}\\\\rfloor + ... + \\\\lfloor \\\\frac{2^{n - 1}m + a_{n - 1}}{2^n - 1}\\\\rfloor = m$$\\nholds for all $m \\\\in \\\\mathbb{Z}$.\"}","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":[]}