
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
The number \(2^{48} - 1\) is divisible by two numbers between 60 and 70. What are these numbers?
(a) 61 and 63
(b) 61 and 65
(c) 63 and 65
(d) 63 and 67
(e) 67 and 69

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