
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:
\[
\left(\frac{x^2+2x+2}{x}\right)\left(\frac{y^2+2y+2}{y}\right)+\left(\frac{x^2-3x+2}{y}\right)\left(\frac{y^2-3y+2}{x}\right)
\]

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