
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 \(x \cdot y = -5\). What is the value of 
\[
x + \frac{x^3}{y^2} + \frac{y^3}{x^2} + y?
\]
A) 280
B) 285
C) 290
D) 295
E) 300

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