{"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":"8944a0ce-645f-58eb-a5f6-468efb932296","task_key":"test--8944a0ce-645f-58eb-a5f6-468efb932296","task_revision_id":"1","upstream_id":"","short_description":"A sequence $\\left\\{a_{n}\\right\\}_{n \\geq 1}$ of positive reals is defined by the…","config":"","split":"test","body":"{\"problem\":\"A sequence $\\\\left\\\\{a_{n}\\\\right\\\\}_{n \\\\geq 1}$ of positive reals is defined by the rule $a_{n+1} a_{n-1}^{5}=a_{n}^{4} a_{n-2}^{2}$ for integers $n>2$ together with the initial values $a_{1}=8$ and $a_{2}=64$ and $a_{3}=1024$. Compute $$\\\\sqrt{a_{1}+\\\\sqrt{a_{2}+\\\\sqrt{a_{3}+\\\\cdots}}}$$\"}","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":[]}