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(a) 1.Ra8+ KXa8 2.Qa1+ Kb7 or Kb8 3.Qa7+ Kc8 4.b7+ Kd7 5.b8=Q+
(b) 1.Ra8+ Kb7 2.Qa1 KXb6 3.Qa5+ Kb7 4.Qa7#
(c) 1.Ra8+ Kb7 2.Qa1 RXb6 3.Qa7+ Kc6 4.Rc8+ Kd5 ( If Black plays 4. …Kb5, then 5.Qa5#. ) 5.QXb6
(d) 1.Ra8+ Kb7 2.Qa1 Rd6 3.Qa7+ Kc6 4.Qc7+ Kd5
5.Qc5+ Ke6 6.Re8+ Kf6 7.RXe4
Very well!