{"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":"0ef07fb0-631c-5d5b-b9de-2ef2c7b7a8de","task_key":"test--0ef07fb0-631c-5d5b-b9de-2ef2c7b7a8de","task_revision_id":"1","upstream_id":"","short_description":"Let $p$ be a real number between 0 and 1. Jocelin has a coin that lands heads…","config":"","split":"test","body":"{\"problem\":\"Let $p$ be a real number between 0 and 1. Jocelin has a coin that lands heads with probability $p$ and tails with probability $1-p$; she also has a number written on a blackboard. Each minute, she flips the coin, and if it lands heads, she replaces the number $x$ on the blackboard with $3 x+1$; if it lands tails she replaces it with $x / 2$. Given that there are constants $a, b$ such that the expected value of the value written on the blackboard after $t$ minutes can be written as $a t+b$ for all positive integers $t$, compute $p$.\"}","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":[]}