
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
\[
\frac{\left(1 + \dfrac{15}{1}\right)\left(1 + \dfrac{15}{2}\right) \dotsm \left(1 + \dfrac{15}{21}\right)}{\left(1 + \dfrac{21}{1}\right)\left(1 + \dfrac{21}{2}\right) \dotsm \left(1 + \dfrac{21}{15}\right)}.
\]

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