
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 $x^2 + 18x + 77$ can be written as $(x + d)(x + e)$, and the expression $x^2 - 19x + 88$ can be written as $(x - e)(x - f)$, where $d$, $e$, and $f$ are integers. What is the value of $d + e + f$?

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