Hello, virebbala90!
There is an omission . . .
Find all integers that satisfy the following system of congruences:
. .
First, find the prime factorization for each: Then, consider mod 4 and mod 5 (this will allow you to easily calculate mod 4 and mod 5). Then consider mod 11 and mod 19 to calculate mod 11 and mod 19. Finally, consider mod 3 and mod 7 to calculate mod 3 and mod 7. Once you know mod 4, 5, 11, 19, 3, and 7, use the Chinese Remainder Theorem to find mod .