'=' means 'congruent to'

(Uses Chinese Remainder Theorem)

x=0(mod4) --> 3600*Y1=1(mod4)

x=1(mod9) --> 1600*Y2=1(mod9)

x=2(mod16) --> 900*Y3=1(mod16)

x=3(mod25) --> 576*Y4=1(mod25)

Knowing that M1=3600, M2=1600, M3=900, and M4=576

Is it possible to 'simplify' the congruences to the right? I know I couldn't... or is there a different approach to solving the system of congruences to the left?

Any pointers will do.

Thanks!