
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 digits are there in the number \(N\) if \(N=2^{12} \times 5^{8}\) ?

If \(\left(2^{48}-1\right)\) is divisible by two whole numbers between 60 and 70, find them.

Given \(2^{\frac{1}{2}} \times 9^{\frac{1}{9}}\) and \(3^{\frac{1}{3}} \times 8^{\frac{1}{8}}\), what is the greatest number?

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