
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 \(a\), \(b\), and \(c\) are real numbers such that
\[
(a-5)^2 + (b-6)^2 + (c-7)^2 = 0,
\]
then \(a + b + c =\)
A) 15  
B) 16  
C) 18  
D) 20  
E) 22

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