
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
If \( m \) and \( n \) are positive integers and \( a = \log_{2} \left[ \left( \frac{m^4 n^{-4}}{m^{-1} n} \right)^{-3} \div \left( \frac{m^{-2} n^2}{m n^{-1}} \right)^{5} \right] \), determine the value of \( a \).

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