
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 (each sub-question is worth 4 points, total 16 points):

(1) $-4x^2y(xy-5y^2-1)$;

(2) $(-3a)^2-(2a+1)(a-2)$;

(3) $(-2x-3y)(3y-2x)-(2x-3y)^2$;

(4) $2010^2-2011\times2009$ (calculate using a simplified method).

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