
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
Determine the area of the region enclosed by the graph of the equation \[ x^2 + y^2 = 5|x+y| + 1 \].
A) \(\frac{25\pi}{8}\)
B) \(\frac{27\pi}{8}\)
C) \(\frac{29\pi}{8}\)
D) \(\frac{31\pi}{8}\)

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