
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 $p$ is a prime and both roots of $x^2 - px - 156p = 0$ are integers, then what is the range of possible values for $p$?
A) $1 < p \le 11$
B) $11 < p \le 21$
C) $21 < p \le 31$
D) $31 < p \le 41$
E) $41 < p \le 51$

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