
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
Compute
\[
\frac{(1 + 16) \left( 1 + \frac{16}{2} \right) \left( 1 + \frac{16}{3} \right) \dotsm \left( 1 + \frac{16}{18} \right)}{(1 + 18) \left( 1 + \frac{18}{2} \right) \left( 1 + \frac{18}{3} \right) \dotsm \left( 1 + \frac{18}{16} \right)}.
\]

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