
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/>$(1)\frac{2mn}{3m^2}⋅\frac{6mn}{5n}$;<br/>$(2)\frac{5x-5y}{3x^2y}⋅\frac{9xy^2}{x^2-y^2}$;<br/>$(3)(\frac{x^3y^2}{z})^2⋅(\frac{yz}{x^2})^3$;<br/>$(4)\frac{4{x}^{2}{y}^{2}}{2x+y}\cdot \frac{4{x}^{2}+4xy+{y}^{2}}{2x+y}\div \frac{2xy(2x-y)}{4{x}^{2}-{y}^{2}}$.

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