
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
Real numbers \(x\) and \(y\) satisfy \(x + y = 5\) and \(xy = 4\). Find the value of 
\[x + \frac{x^3}{y^2} + \frac{y^3}{x^2} + y.\]
A) 72  
B) 73  
C) 74.0625  
D) 75

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