
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
The expression $x^2 + 19x + 88$ can be written as $(x + p)(x + q)$, and the expression $x^2 - 23x + 132$ written as $(x - q)(x - r)$, where $p$, $q$, and $r$ are integers. What is the value of $p + q + r$?

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