
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
Calculate $20 \cdot \left(\frac{1}{3} + \frac{1}{4} + \frac{1}{6}\right)^{-2}$.
**A)** $\frac{100}{9}$
**B)** $\frac{225}{12}$
**C)** $\frac{320}{9}$
**D)** $35$
**E)** $\frac{400}{27}$

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