
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 $q = \sum\limits_{k=1}^{5} (k^2 \cdot \ln k)$. Determine the value of $e^q$. What is the largest power of $3$ that is a factor of $e^q$?
A) $3^4$
B) $3^5$
C) $3^6$
D) $3^7$
E) $3^8$

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