Dipeptidyl peptidase IV (DPP-IV)-inhibiting compounds are provided that have formula I: wherein n is 1 to 3; X is CH 2 ; S; O; CF 2 or C(CH 3 ) 2 ; Z is H; halogen; hydroxyl; (C 1-6 )alkoxy; (C 1-12 )alkyl; (C 3-12 )cycloalkyl; phenyl; or heteroaryl; where the phenyl and heteroaryl groups are optionally mono- or independently plurisubstituted with R 7 ; optionally, X together with an adjacent ring carbon and Z form a fused cyclopropyl; and optionally, one of the bonds in the ring containing X is a double bond; and CR i R ii , R 1 , R 2 , R 3 , R 4 and R 5 are as described herein.