
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 $\left(\sqrt[4]{81} - \sqrt{8\frac{1}{2}}\right)^2$.
A) $\frac{70 - 12\sqrt{34}}{4}$
B) $\frac{70 + 12\sqrt{34}}{4}$
C) $\frac{36 - 12\sqrt{34}}{4}$
D) $\frac{70}{4}$
E) $\frac{34}{4}$

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