find the remainder when $\displaystyle 1992^{1998} - 1955^{1998} - 1938^{1998} + 1901^{1998}$ is divided by $\displaystyle 1998$

i tried using eulers theorem and got only this much

$\displaystyle 1992^{1980}\equiv 1mod 1998$

similarly for oders...but cudnt get after that

so i need a kind help.

thanku