Find the following: i. 4 101 mod 7 ii. 3 35 mod 7 iii. 256 129 mod 19 iv. 17 200000 mod 19 v. 2 50 +3 100 +4 150 mod 11 b) Solve the congruence x 107 2 mod 7. c) Show that the inverse of 7 mod 89 is 7 87 ; then simplify 7 87 mod 89 using repeated squaring method. d) Find all integers x such that x 140 34 mod 47.