
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
Evaluate the following expression:
\[
\left(\frac{(x+2)^3 (x^2-x+2)^3}{(x^3+2)^3}\right)^3 \cdot \left(\frac{(x-2)^3 (x^2+x+2)^3}{(x^3-2)^3}\right)^3
\]
A) \( (x^3+2)^3 \)
B) \( ((x^3+2)(x^3-2))^3 \)
C) \( 1 \)
D) \( (x^3-2)^6 \)
E) \( (x+2)^6 \)

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