
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 $\sqrt{4 + \left(\frac{y^6-4}{3y^3}\right)^2}$. What is its simplified form?
**A)** $\frac{y^6 + 4}{3y^3}$  
**B)** $\frac{y^6+4}{3y^3}$  
**C)** $\frac{\sqrt{y^{12} + 28y^6 + 16}}{3y^3}$  
**D)** $\frac{y^6}{3}$  
**E)** $\frac{4}{3y^3}$

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