1. Evaluate these quantities (recall in the textbook, [al,, is denoted by a mod m): (a) [45]4 (b) [144]7 (c) [20]5 (d) [~101]s 2. True or False (justify your answer): (a) 37 =3 (mod?7) (b) 73 =3 (mod7) () 24 =1 (mod5) (d) 35 = 5(mod8) 3. Evaluate each of the following: (Recall @,, and ,, are operations on elements of Zy. Therefore your answer should be an element of Z;.) (a) 476 (b) (47 6) @75 (c) 47 (675) (d) 40,6 (e) (4G76)O75 (f) 407 (675)