
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 \(x^2 + 16x + 63\) can be written as  \((x + p)(x + q),\) and the expression \(x^2 - 15x + 56\) can be 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