
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 \( M = 36 \cdot 36 \cdot 65 \cdot 280 \). What is the ratio of the sum of the odd divisors of \( M \) to the sum of the even divisors of \( M \)?
A) 1 : 256
B) 1 : 254
C) 1 : 252
D) 1 : 250
E) 1 : 248

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