
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/>$(1)3x^{2}\cdot \left(-3xy\right)^{2}-x^{2}(x^{2}y^{2}-2x)$;<br/>$(2)-2(-a^{2}bc)^{2}\cdot \frac{1}{2}a({bc)}^{3}-(-abc)^{3}\cdot \left(-abc\right)^{2}$.

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