
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
Consider the expression $\left(\frac{(x+2)^2 (x^2 - 2x + 2)^2}{(x^3 + 2)^2}\right)^2 \cdot \left(\frac{(x-2)^2 (x^2 + 2x + 2)^2}{(x^3 - 2)^2}\right)^2$. Simplify this expression.
A) $\frac{1}{16}$
B) $16$
C) $1$
D) $4$
E) $-1$

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