
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
Given an even integer \( n \), let \( x = n^2 \). What is the expression for the next perfect square after \( x \)?
**A)** \( x + 2n + 1 \) \
**B)** \( x + n + 1 \) \
**C)** \( x + 2n \) \
**D)** \( x + n \) \
**E)** \( x + 2 \sqrt{x} + 1 \)

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