
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
Let $M = 99^5 + 5 \cdot 99^4 + 10 \cdot 99^3 + 10 \cdot 99^2 + 5 \cdot 99 + 1$. How many positive integers are factors of $M$?
A) 120  
B) 121  
C) 122  
D) 123  
E) 124

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