
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 $\left(\sqrt[4]{81} - \sqrt{8\frac{1}{4}}\right)^2$.
**A)** $\frac{69 - 12\sqrt{33}}{4}$
**B)** $\frac{3}{4}$
**C)** $3$
**D)** $\frac{12\sqrt{33} - 69}{4}$
**E)** $\frac{6 + \sqrt{33}}{4}$

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