
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 $M = 57^6 + 6\cdot57^5 + 15\cdot57^4 + 20\cdot57^3 + 15\cdot57^2 + 6\cdot57 + 1$. How many positive integers are factors of $M$?
**A)** 7  
**B)** 28  
**C)** 35  
**D)** 49  
**E)** 58

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