
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 \( M = 18 \cdot 18 \cdot 125 \cdot 210 \). What is the ratio of the sum of the odd divisors of \( M \) to the sum of the even divisors of \( M \)?
A) 1 : 16
B) 1 : 15
C) 1 : 14
D) 1 : 8
E) 1 : 3

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