
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 the unique strictly increasing sequence of non-negative integers \(b_1 < b_2 < \ldots < b_m\) such that
\[
\frac{2^{153}+1}{2^{9}+1} = 2^{b_1} + 2^{b_2} + \ldots + 2^{b_m}.
\]
What is \(m\)?
A) 145
B) 153
C) 154
D) 162
E) 170

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