
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
Evaluate the following expression for non-zero positive values $a$, $b$, and $c$:
\[
\left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right) \left(ab + bc + ca \right)^{-2} \left( a + b + c \right) \left( \frac{1}{ab} + \frac{1}{bc} + \frac{1}{ca} \right)^{-1}
\]
A) $\frac{1}{a^2b^2c^2}$  
B) $\frac{1}{ab+bc+ca}$  
C) $\frac{1}{(ab+bc+ca)^2}$  
D) $\frac{1}{(a+b+c)^2}$  
E) $(ab+bc+ca)^2$

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