
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
Determine how many positive integer divisors of $150^{12}$ are either perfect squares or perfect cubes (or both).
A) 713
B) 715
C) 717
D) 719
E) 721

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