
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 \(a, b, c\) are real numbers such that \(a^2 + 3b = 9\), \(b^2 + 5c = -8\), and \(c^2 + 7a = -18\), find \(a^2 + b^2 + c^2\).
A) 14.75
B) 19.75
C) 20.75
D) 21.75
E) 22.75

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