Case 1: 6 x 9 equals 42 in base 13.

Case 2: 11 x 11 equals 121 in bases 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, and 36.

Case 3: 1 x Y equals Y in bases 35 and 36.

Case 4: 1 x Y never equals Z.

Case 5: 1 x 1 equals 1 in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, and 36.

Case 6: 121 x 121 equals 14641 in bases 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, and 36.

Case 7: 22B x 154 equals 2E35E in base 15.

Case 8: 22B x 154 never equals 2E3E5.

Case 9: 40 x 40 equals 1600 in base 10.

Case 10: 40 x 40 never equals 4000.

Case 11: JVL x OM6 equals DLAM3I in base 36.