
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:
\[\left(\left((3+2)^{-1}+2\right)^{-1}+2\right)^{-1}+2\]
A) $\frac{64}{27}$ 
B) $\frac{63}{27}$
C) $\frac{65}{27}$
D) $\frac{66}{27}$
E) $\frac{70}{27}$

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