1.

1.Qc6  bxQ, Nc4#
or  ....   Ne5, b5#

2.

Key move is exf3 (Crafty and Fritz didn't find this either so don't be too upset if you didn't! They found mate in 5 but not mate in 3.)

1.exf3 Rg5 2.Qf4 a1Q 3.Qd2#
[1...Rg6 2.Rxe1 a1Q 3.Bxd3#]
[1...Rg7 2.Qc7 a1Q 3.Rxc3#]
 

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