
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 $q = \sum\limits_{k=1}^{8} k^2 \ln k$, calculate the largest power of $3$ that is a factor of $e^q$.
A) $3^{36}$
B) $3^{40}$
C) $3^{43}$
D) $3^{45}$
E) $3^{50}$

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