Question: 4. Use a computer algebra system to do the following problems: (a) Find integers r and y with 65537r 3511y 31. (b) Find the last

4. Use a computer algebra system to do the following problems: (a) Find integers r and y with 65537r 3511y 31. (b) Find the last five digits of 3 1234567 Note: Do not attempt to compute this power! Think of an appropriate modulus, and use the "modular exponentiation" feature in the system of your choice (in Maple it's & You may also wish to first use Euler's Theorem. (c) Solve 314r e 271 (mod 11111). (d) Find all solutions to 216ar a 66 (mod 606)

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