Chess notation cheat-sheet (for new readers)
Pieces: K king · Q queen · R rook · B bishop · N knight · (a pawn move has no letter)
Actions: x takes · + check · # mate · O-O short castles · O-O-O long castles · e8=Q pawn promotes to queen
Annotations: ! good move · !! brilliant · ? mistake · ?? blunder
The pause before you take back
The whole motif lives in one half-second of doubt. Your opponent captures, your hand drifts toward the recapture, and the puzzle is asking you to stop there and check for a forcing move you can insert first. That inserted move, the intermezzo (you will also see it called a zwischenzug or in-between move), is what wins the tempo. The recapture almost always still works a move later.
So the solving question is not what an intermezzo is, it is where to spend the pause. After any capture in these positions, scan in this order: a check you can give, a capture that wins more than you are about to lose, a hit on the queen or a loose piece. If one of those exists, the move you owe can wait. If none does, take back and move on. Training that order, capture lands then forcing-move sweep, is most of what separates solvers who find the in-between move from solvers who recapture on reflex and never see it.
Three shapes the in-between move takes
Across this set the trick keeps reappearing in three recognizable shapes, and learning to name them at the board speeds up the search.
Insert a check. Instead of retaking, you give check. The opponent has to answer, and only then do you collect the piece, now a move richer. Watch for exposed kings and open lines toward them the instant a trade starts; that is your first read every time.
Insert a bigger threat. A non-check move that attacks the queen, a rook, or an undefended piece does the same job, because the opponent must deal with it before saving whatever you were going to take. Hunt for loose pieces on the board before you commit to the recapture.
Flip the trade as the defender. Sometimes you are the side expected to recapture, and an in-between move turns the exchange around, rescuing your own piece or grabbing the opponent's instead. Plenty of positions here put you in that chair, so read every capture from both sides.
Making the pause stick under pressure
Spotting the idea in a calm puzzle is one thing; keeping the habit when a trade lands in your own game is the harder part, and the drill is built for that. Counting is what makes the pause trustworthy. An in-between move only holds up when its threat outweighs the move you still owe, so the practice rep is to compare the two threats before you trust the insert, not after.
Use the rating slider to set the difficulty where you miss roughly one position in four; that is the band where the in-between checks start surfacing before you consciously look for them. When you stall, the first hint names the motif and the second points at the piece, the third gives the move, so you can train the recognition without being handed the move. Every position is drawn from real games, free to solve from about 400 up to 2400 with no account, which means you can run intermezzo reps until the pause before the recapture becomes the default rather than the exception.