{"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":"01506210-337d-5ff1-a7b2-c4b0d03a3264","task_key":"test--01506210-337d-5ff1-a7b2-c4b0d03a3264","task_revision_id":"1","upstream_id":"","short_description":"Evaluate the sum \\begin{gather*} \\sum_{k=0}^\\infty \\left( 3 \\cdot…","config":"","split":"test","body":"{\"problem\":\"Evaluate the sum \\\\begin{gather*} \\\\sum_{k=0}^\\\\infty \\\\left( 3 \\\\cdot \\\\frac{\\\\ln(4k+2)}{4k+2} - \\\\frac{\\\\ln(4k+3)}{4k+3} - \\\\frac{\\\\ln(4k+4)}{4k+4} - \\\\frac{\\\\ln(4k+5)}{4k+5} \\\\right) \\\\\\\\ = 3 \\\\cdot \\\\frac{\\\\ln 2}{2} - \\\\frac{\\\\ln 3}{3} - \\\\frac{\\\\ln 4}{4} - \\\\frac{\\\\ln 5}{5} + 3 \\\\cdot \\\\frac{\\\\ln 6}{6} - \\\\frac{\\\\ln 7}{7} \\\\\\\\ - \\\\frac{\\\\ln 8}{8} - \\\\frac{\\\\ln 9}{9} + 3 \\\\cdot \\\\frac{\\\\ln 10}{10} - \\\\cdots . \\\\end{gather*} (As usual, $\\\\ln x$ denotes the natural logarithm of $x$.)\"}","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":[]}