Each of the diagrams is a "helpmate in 1"; that is, Black has a unique move that allows White to mate in one, and the mating move is unique too. (Indeed in these positions any other Black move at least draws, and at least one move wins though in diagram 2 the win after Qxb3+ is nontrivial.)
The solutions are:
As further corroboration, Black's arrival squares are in columns a,b,c,d,e and White's are in rows 1,2,3,4,5.
Plotting White's mating moves on the letter board yields only a fish of the wrong color: R-E, D-H, E-R, R-I, N-G (but may still help for back-solving if only one solution is missing or wrong). Plotting Black's moves instead yields B-E, T-E, L-G, E-N, U-S. i.e. "betel genus". This is a definition of the answer PIPER.
The puzzle title both suggests the nature of the chess challenge (Black "blows" each position) and corroborates the solution (a piper literally blows it, at least if it's the familiar English word and not the Latin cognate of "pepper").