
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 = $49^6 + 6\cdot49^5 + 15\cdot49^4 + 20\cdot49^3 + 15\cdot49^2 + 6\cdot49 + 1$. Determine the number of positive divisors of M.
A) 30
B) 91
C) 126
D) 210
E) 343

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