
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
Simplify the expression: 
\[
\frac{m^{4/3} - 27 m^{1/3} \cdot n}{m^{2/3} + 3 \sqrt[3]{mn} + 9 n^{2/3}} \div \left(1 - 3 \sqrt[3]{\frac{n}{m}}\right) - \sqrt[3]{m^2}.
\]

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