
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 the value of $\left (\frac{1}{9} \right )^0 + \left (\frac{1}{9}b \right )^{-1} - \left (81^{-\frac{1}{2}} \right ) - \left (-27 \right )^{-\frac{1}{3}}$.
A) $1 + \frac{9}{b} + \frac{1}{9}$
B) $1 + \frac{9}{b} + \frac{2}{9}$
C) $1 + \frac{1}{b} + \frac{2}{9}$
D) $2 + \frac{9}{b} + \frac{2}{9}$

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