I was bored so I made up these two:
helpmate in 3:
Helpmate in 4:
black to move?
This is from Wikipedia:
A helpmate is a type of chess problem in which both sides cooperate in order to achieve the goal of checkmating Black. In a helpmate in n moves, Black moves first, then White, each side moving n times, to culminate in White's nth move checkmating Black.
h#3 sol < 1. Kh8-g8 Kf4-g4 2. Kg8-g7 Bg3-d6 3. Kg7-h6 Bd6-f8 >
h#4 sol <1. Kb4-c5 Kc7-c8 2. Kc5-d6 Nf2-e4 3. Kd6-e7 Nf4-g6 4. Ke7-e8 Ne4-d6>