1. Find the greatest common divisor of 234 and 124.
2: Find r and s such that 8,092r + 1,111s = 1.
3: Find a counterexample to the claim that if the greatest common divisor of a and b is not 1, there exists a unique r and a unique s such that ra + sb = 1.
4. Solve for x: 324x mod 121 = 1.
5: Solve for x: 99,997x mod 8,888 = 1,234.