Black plays and wins in 4 moves https://lichess.org/zwrknhwE/black
1... d2 2. Qxd2+ Kxd2 3. Ka3 Kc2 4. Ka2 Qb2#
The analysis board does checkmate in 5 moves
1... Kc2 2. Qf2+ d2 3. Qxd2+ Kxd2 4. Ka1 Kc2 5. Ka2 Qb2#
Source:
https://www.amazon.com/Chess-Puzzles-Advanced-Expert-Level/dp/B0917YQZP1