
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
The numbers \( x \) and \( y \) are such that \( x + y = xy = 17 \). Find the value of the expression:

\[ 
\left(x^{2} - 17x\right) \left(y + \frac{17}{y}\right)
\]

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