{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"mmlu-pro","formal_name":"MMLU-Pro","introduction":"MMLU-Pro rebuilds MMLU with ten answer options instead of four and removes items that no longer separate models. Questions span fourteen academic and professional subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","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":"fa4f33a0-1d67-5963-b35b-c7e02af47cb4","task_key":"default--test--4143","task_revision_id":"1","upstream_id":"4143","short_description":"The number average and weight average molecular-weights are defined as M_n=…","config":"default","split":"test","body":"{\"category\":\"chemistry\",\"options\":\"['X_n= [(\\\\\\\\sumN_i X_i) / (\\\\\\\\sumN_i)], X_w= [(\\\\\\\\sumN_i X^2_i) / (\\\\\\\\sumN_i X_i)]', 'X_n= [(\\\\\\\\sumW_i X_i) / (\\\\\\\\sumW_i)], X_w= [(\\\\\\\\sumN_i X_i^3) / (\\\\\\\\sumW_i X_i)]', 'X_n= [(\\\\\\\\sumN_i X_i) / (\\\\\\\\sumN_i X_i^0.5)], X_w= [(\\\\\\\\sumN_i X_i^1.5) / (\\\\\\\\sumN_i)]', 'X_n= [(\\\\\\\\sumw_i X_i) / (\\\\\\\\sumw_i)], X_w= [(\\\\\\\\sumN_i X_i^0.5) / (\\\\\\\\sumN_i)]', 'X_n= [(\\\\\\\\sumN_i X_i) / (\\\\\\\\sumN_i X_i^2)], X_w= [(\\\\\\\\sumN_i X^2_i) / (\\\\\\\\sumN_i X_i^2)]', 'X_n= [(\\\\\\\\sumN_i X_i^2) / (\\\\\\\\sumN_i^2 X_i)], X_w= [(\\\\\\\\sumN_i X_i) / (\\\\\\\\sumN_i^2)]', 'X_n= [(\\\\\\\\sumN_i X_i^3) / (\\\\\\\\sumN_i X_i)], X_w= [(\\\\\\\\sumN_i X_i) / (\\\\\\\\sumN_i X_i^3)]', 'X_n= [(\\\\\\\\sumN_i X^2_i) / (\\\\\\\\sumN_i X_i)], X_w= [(\\\\\\\\sumN_i X_i) / (\\\\\\\\sumN_i)]', 'X_n= [(\\\\\\\\sumN_i X_i^2) / (\\\\\\\\sumN_i X_i)], X_w= [(\\\\\\\\sumN_i X_i) / (\\\\\\\\sumN_i)]', 'X_n= [(\\\\\\\\sumW_i X_i^2) / (\\\\\\\\sumN_i X_i)], X_w= [(\\\\\\\\sumW_i X_i) / (\\\\\\\\sumW_i X_i^2)]']\",\"question\":\"The number average and weight average molecular-weights are defined as M_n= [(\\\\sumN_i M_i) / (\\\\sumN_i)] = [1 / {\\\\sum(w_i/ M_i)}] and M_w = [(\\\\sumW_iM_i) / (\\\\sumW_i)] = [(\\\\sumN_i M^2_i) / (\\\\sumN_i M_i)] = \\\\sumw_iM_i respectively, where M_i = molecular weight of theithspecies N_i = moles of molecules with molecular weight M_i W_i= weight of material with molecular weight M_i w_i= weight fraction of molecules of theithspecies. Derive equations analogous to the ones above for the number average,X_n, and weight average,X_w, degree of polymerization.\",\"src\":\"stemez-PhysicalChemistry\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}