Calculate the modular exponentiation for the following:
11^15 mod 47, 21^5 mod 77, 5^32 mod 67, 7^11 mod 77.
Solve for x for the following relationships:
(21x + 5) mod 67 = 10, (41x - 12) mod 67 = 19.
Given the following set of congruences, find 5 possible values of x that satisfy the equations:
21x mod 17 = 10, 41x mod 23 = 19, 5x mod 29 = 6.