
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 \(M = 26 \cdot 26 \cdot 45 \cdot 252\). What is the ratio of the sum of the odd divisors of \(M\) to the sum of the even divisors of \(M\)?

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