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

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