
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
If $a, b$ and $3a + \frac{b}{3}$ are not zero, then evaluate
\[
\left( 3a + \frac{b}{3} \right)^{-1} \left[(3a)^{-1} + \left( \frac{b}{3} \right)^{-1} \right]
\]
A) $1$
B) $ab$
C) $a^{-1}b$
D) $(ab)^{-1}$
E) None of these

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