{"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":"92b2de92-ecf7-53c7-95a7-6efb3e19d3ef","task_key":"test--92b2de92-ecf7-53c7-95a7-6efb3e19d3ef","task_revision_id":"1","upstream_id":"","short_description":"For any positive integers $a$ and $b$ with $b>1$, let $s_{b}(a)$ be the sum of…","config":"","split":"test","body":"{\"problem\":\"For any positive integers $a$ and $b$ with $b>1$, let $s_{b}(a)$ be the sum of the digits of $a$ when it is written in base $b$. Suppose $n$ is a positive integer such that $$\\\\sum_{i=1}^{\\\\left\\\\lfloor\\\\log _{23} n\\\\right\\\\rfloor} s_{20}\\\\left(\\\\left\\\\lfloor\\\\frac{n}{23^{i}}\\\\right\\\\rfloor\\\\right)=103 \\\\quad \\\\text { and } \\\\sum_{i=1}^{\\\\left\\\\lfloor\\\\log _{20} n\\\\right\\\\rfloor} s_{23}\\\\left(\\\\left\\\\lfloor\\\\frac{n}{20^{i}}\\\\right\\\\rfloor\\\\right)=115$$ Compute $s_{20}(n)-s_{23}(n)$.\"}","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":[]}