
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
Suppose $x = n^4$ where $n$ is a positive integer. If $n = p_1 p_2^2 p_3^5$, where $p_1$, $p_2$, and $p_3$ are different prime numbers, determine the number of positive divisors that $x$ could have, and choose the correct answer from the provided options.
A) 920
B) 925
C) 930
D) 945
E) 955

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