We perform a detailed analysis of seven aftershock sequences with intermediate- or deep-focus mainshocks occurring in the Aleutian Islands, Japan, the Pamir-Hindu Kush (PHK), Tonga, and Bolivia. For each sequence we determine the modified Omori law (MOL) p value and goodness of fit. For all sequences, we are able to find a time interval where the sequence conforms to MOL decay with either c≡0 or c variable. The two sequences with deep-focus mainshocks have slightly larger p values than the intermediate depth sequences. Despite the rarity of well defined intermediate or deep aftershock sequences, neither the observed p values nor the overall sequence decay behavior significantly differ from that observed for shallow sequences. ¿ 2000 American Geophysical Union