user33864: Link to puzzle:
https://lichess.org/training/274165037
I got the correct solution first try, but I don't understand what it accomplishes. Seems the king can escape via f2 and rook h1 should deal with the pawn push
[Title "Lichess puzzle"]
[fen "2kr3r/ppq2pp1/3b4/2p1n1P1/2P1N2p/P2P3K/1PQ1N3/R1B2R2 b - - 0 1"]

1...Qd7+ 2. Kg2 Qg4+ 

What am I missing?

user33803: This is a simple puzzle that wants you to correctly steer into the most forcing line, seizing an attack. It is not a study that wants you to find a nice, unique solution down every line.
What it does say:
Your opponent has not realized they had to play d4 in order to open the diagonal for their queen to gain access to f5.
Do you realize you have a winning position at hand?
Do you realize you have to start with Qd7+ immediately?
What it doesn't say:
Can you force a way to always at least win white's queen for a knight? (Hint: white has to take black's knight with their queen to avoid checkmate!)

user4418: Rh1 in response to h3 by black just loses the rook after Qg2+. White has to move a knight to g3 to try and stop the pawn queening but then black starts a king hunt with Qf3+ which leads to mate.
[Title "Lichess puzzle"]
[fen "2kr3r/ppq2pp1/3b4/2p1n1P1/2P1N2p/P2P3K/1PQ1N3/R1B2R2 b - - 0 1"]

1...Qd7+ 2. Kg2 Qg4+ 3. Kf2 h3 4. Rh1 (4. N2g3 Qf3+ 5. Ke1 Nxd3+ 6. Kd2 Bf4+ 7. Kc3 Nf2+ 8. Be3 Qxe3 9. Qd3 Qxd3#) Qg2+ 


33864: <p>Link to puzzle:
<a href="https://lichess.org/training/274165037" rel="noreferrer">https://lichess.org/training/274165037</a></p>
<p>I got the correct solution first try, but I don't understand what it accomplishes. Seems the king can escape via f2 and rook h1 should deal with the pawn push</p>
<pre><code>[Title &quot;Lichess puzzle&quot;]
[fen &quot;2kr3r/ppq2pp1/3b4/2p1n1P1/2P1N2p/P2P3K/1PQ1N3/R1B2R2 b - - 0 1&quot;]

1...Qd7+ 2. Kg2 Qg4+ 
</code></pre>
<p>What am I missing?</p>
 33803: <p>This is a simple puzzle that wants you to correctly steer into the most forcing line, seizing an attack. It is not a study that wants you to find a nice, unique solution down every line.</p>
<p><strong>What it does say</strong>:</p>
<p>Your opponent has not realized they had to play d4 in order to open the diagonal for their queen to gain access to f5.</p>
<p>Do you realize you have a winning position at hand?</p>
<p>Do you realize you have to start with Qd7+ immediately?</p>
<p><strong>What it doesn't say</strong>:</p>
<p>Can you force a way to always at least win white's queen for a knight? (Hint: white has to take black's knight with their queen to avoid checkmate!)</p>
 4418: <p>Rh1 in response to h3 by black just loses the rook after Qg2+. White has to move a knight to g3 to try and stop the pawn queening but then black starts a king hunt with Qf3+ which leads to mate.</p>
<pre><code>[Title &quot;Lichess puzzle&quot;]
[fen &quot;2kr3r/ppq2pp1/3b4/2p1n1P1/2P1N2p/P2P3K/1PQ1N3/R1B2R2 b - - 0 1&quot;]

1...Qd7+ 2. Kg2 Qg4+ 3. Kf2 h3 4. Rh1 (4. N2g3 Qf3+ 5. Ke1 Nxd3+ 6. Kd2 Bf4+ 7. Kc3 Nf2+ 8. Be3 Qxe3 9. Qd3 Qxd3#) Qg2+ 
</code></pre>
