
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 expression 
\[
(x+y+z+w)^{-1}(x^{-1}+y^{-1}+z^{-1}+w^{-1})(xy+yz+zw+wx)^{-1}[(xy)^{-1}+(yz)^{-1}+(zw)^{-1}+(wx)^{-1}]
\].

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