
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
Calculate:<br/>$(1)(3^{3})^{2}$ (express the result in the form of a power);<br/>$(2)(-4xy^{3})(-2x^{2})$;<br/>$(3)2x(3y-x^{2})+2x\cdot x^{2}$;<br/>$(4)(20x^{3}y^{5}-10x^{4}y^{4}-20x^{3}y^{2})\div (-5x^{3}y^{2})$.

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