
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
How many distinct divisors do the following numbers have:
1) \(2^{7}\);
2) \(5^{4}\);
3) \(2^{7} \cdot 5^{4}\);
4) \(2^{m} \cdot 5^{n} \cdot 3^{k}\);
5) 3600;
6) \(42^{5}\)?

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