
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
For how many integer values of $x$ is the value of $16000 \cdot \left(\frac{2}{5}\right)^x$ an integer?
$\textbf{A)}\ 8 \qquad \textbf{B)}\ 9 \qquad \textbf{C)}\ 10 \qquad \textbf{D)}\ 11 \qquad \textbf{E)}\ 12$

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