
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 \( P = 45 \cdot 45 \cdot 98 \cdot 480 \). What is the ratio of the sum of the odd divisors of \( P \) to the sum of the even divisors of \( P \)?
A) 1 : 124
B) 1 : 125
C) 1 : 126
D) 1 : 127
E) 1 : 128

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