
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
Calculate $p = \sum_{k=1}^{8} k \ln k$ and find the largest power of $2$ that is a factor of $e^p$.
A) $2^{30}$  
B) $2^{34}$  
C) $2^{38}$  
D) $2^{40}$  
E) $2^{42}$

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