
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 three integers \( a, b, c \) (\( a \neq 0 \)) make the equation \( a x^{2} + b x + c = 0 \) such that its two roots are \( a \) and \( b \), then \( a + b + c = \)

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