
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
Evaluate \( M = 36 \cdot 36 \cdot 95 \cdot 400 \). What is the ratio of the sum of the odd divisors of \( M \) to the sum of the even divisors of \( M \)?
A) \(1 : 511\)
B) \(1 : 256\)
C) \(1 : 510\)
D) \(1 : 128\)
E) \(1 : 64\)

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