| 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. |
