Actually, precision isn't needed ... Rf7+ (obviously) Qxf7 and either Nxe4+ (as given by Yancey) or Rh6+ wins; Qg6 Nh7+ Kg7 Qxg6+ Kh8 Nany# or Kg7 Nxf7+ Kf8 Rh8+ Kxf7 Rh7+ Ke8 Qg8+ Bf8 Qf7+ Kd8 Qxd7#

I think I got it without resorting to putting it on a board:

First divert the queen:

1.Rf7+ Qxf7
2.Nxe4+ fe4
3.Rh6+ Qg6 (Kf5 4.Qf4#)
4.Qxg6+ Ke5
5.Rh5+ and mate follows in two moves max.