
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
If \(y + 9 = (x - 3)^3\) and \(x + 9 = (y - 3)^3\), with \(x \neq y\), what is the value of \(x^2 + y^2\)?
A) 9
B) 12
C) 15
D) 18
E) 21

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