Capture the Queen

It's not apparent, but taking the Black Queen and Black Rook gives White control of the back rank that finds checkmate much sooner than taking the Black Queen earler but leaving the Black Rook controlling the back rank. I've edited the puzzle instructions with extra detail.

Capture the Black Queen in 4 moves to control the back rank.

Capture the Black Queen in 6 moves.

Capture the Black Queen in 5 moves.

Capture the Black Queen in 3 moves.

Capture the White Queen in 8 moves.

Capture the White Queen in 8 moves.

Capture the White Queen in 3 moves.

Capture the Black Queen in 4 moves.

This is a very complex position with Black pieces well defended. White will have to sac some pieces to break through Black's defence to capture the Black Queen in 9 moves.

Capture the Black Queen in 5 moves.

Capture the Black Queen in 4 moves. Before capturing the Queen play an "in-between move" twice to push the Black King to the back rank to threaten mate.

Capture the White Queen in 8 moves.

Capture the White Queen in 8 moves.

M

Capture the White Queen in 4 moves.

Capture the White Queen in 4 moves.

Capture the White Queen in 7 moves.

Capture the Black Queen in 3 moves.

mick I can teach you opening theory if you want