{"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":"fefecc19-b7c2-5002-a9d3-dcfec6745796","task_key":"test--fefecc19-b7c2-5002-a9d3-dcfec6745796","task_revision_id":"1","upstream_id":"","short_description":"Let $u$ be a positive rational number and $m$ be a positive integer. Define a…","config":"","split":"test","body":"{\"problem\":\"Let $u$ be a positive rational number and $m$ be a positive integer. Define a sequence $q_1,q_2,q_3,\\\\dotsc$ such that $q_1=u$ and for $n\\\\geqslant 2$:\\n$$\\\\text{if }q_{n-1}=\\\\frac{a}{b}\\\\text{ for some relatively prime positive integers }a\\\\text{ and }b, \\\\text{ then }q_n=\\\\frac{a+mb}{b+1}.$$ \\nDetermine all positive integers $m$ such that the sequence $q_1,q_2,q_3,\\\\dotsc$ is eventually periodic for any positive rational number $u$.\"}","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":[]}