
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 $\left(\frac{(x^2-2x+2)^2(x^3-x^2+1)^2}{(x^5+1)^2}\right)^2 \cdot \left(\frac{(x^2+2x+2)^2(x^3+x^2+1)^2}{(x^5-1)^2}\right)^2$.
A) 0
B) 1
C) x^5 + 1
D) (x^5 - 1)^2
E) (x^10 - 1)^2

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