
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Fill in the numbers 1, 2, 3, ..., 15, 16 into the 16 squares in the table below, and satisfy the following conditions.

\[
\begin{array}{|c|c|c|c|}
\hline
A & B & C & D \\
\hline
E & F & G & H \\
\hline
J & K & L & M \\
\hline
N & P & Q & R \\
\hline
\end{array}
\]

1. \( A + C + F = 10 \)
2. \( B + H = R \)
3. \( D - C = 13 \)
4. \( E \times M = 126 \)
5. \( F + G = 21 \)
6. \( G \div J = 2 \)
7. \( H \times M = 36 \)
8. \( J \times P = 80 \)
9. \( K - N = Q \)

What is \( L \)?

Present the answer in LaTex format: \boxed{Your answer}
user