
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 number \( \frac{16!}{2^k} \) is an odd integer. Note that \( n! = 1 \times 2 \times 3 \times \cdots \times (n-1) \times n \). What is the value of \( k \)?

A) 9  
B) 11  
C) 13  
D) 15  
E) 17

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