
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
Compute the value of 
\[
(a+b+c+d)^{-1}(a^{-1}+b^{-1}+c^{-1}+d^{-1})(ab+bc+cd+da+ac+bd)^{-1}[(ab)^{-1}+(bc)^{-1}+(cd)^{-1}+(da)^{-1}+(ac)^{-1}+(bd)^{-1}]
\]

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