
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
Consider $x^2 + px + q = 0$, where $p$ and $q$ are real numbers. If the sum of the roots is 2 and the product of the roots is a positive integer $k$, find $p$.
A) -2  
B) 0  
C) 2  
D) -4

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