Google "Chinese Remainder Theorem" (CRT) , in particular its proof from which you can understand what to do. This is a very difficult calculating problem (unless
I'm missing some trick to ease it out), and without some kind of programm to evaluate numbers modulo something (and which you can probably find in the
web under ''online calculators modulo" or something like that) , I can't see how to do it without working several hours...good luck!
Here! I found this nice site Chinese Remainder Theorem Calculator where it appears one solution is .
As you can see, this is nasty, cruel and mean...unless there's a trick I can't see now.