
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
Let $n$ be the largest integer that is the product of exactly 3 distinct prime numbers $d$, $e$, and $e^2 + 10d$, where $d$ and $e$ are primes less than 20. What is the sum of $n$'s digits?
A) 14
B) 15
C) 16
D) 17
E) 18

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