
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
Simplify the expression $\sqrt{1+ \left(\frac{x^6 - x^3 - 2}{3x^3}\right)^2}$.
A) $\frac{x^4}{3}$
B) $\frac{x^4 - 1}{3x^3}$
C) $\frac{\sqrt{x^{12} - 2x^9 + 6x^6 - 2x^3 + 4}}{3x^3}$
D) $\frac{x^6}{3}$
E) $\frac{x^3 + 1}{3x^3}$

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