
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
Find the value of $x$ that satisfies the equation 
\[ 25^{-3} = \frac{5^{64/x}}{5^{40/x} \cdot 25^{20/x}}. \]
**A)** $2$
**B)** $3$
**C)** $4$
**D)** $\frac{8}{3}$
**E)** $6$

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