
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
Let $p, q, r, s$ be distinct prime numbers and $n = p^2 q^2 r^3 s$. Which of the following is the smallest positive perfect cube that has $n$ as a divisor?
- No choices provided yet.
A) $(pqrs)^3$
B) $(p^2q^2r^3s)^3$
C) $(pqr^3s)^3$
D) $(p^2q^3r^3s^2)^3$

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