
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 $23!$ has a significant number of positive integer divisors. If one divisor is chosen at random, what is the probability that it is a perfect square?
**A)** $\frac{1}{512}$  
**B)** $\frac{1}{640}$  
**C)** $\frac{1}{768}$  
**D)** $\frac{1}{800}$  
**E)** $\frac{1}{1024}$

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