
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 $M = 33 \cdot 38 \cdot 58 \cdot 462$. What is the ratio of the sum of the odd divisors of $M$ to the sum of the even divisors of $M$?
- **A)** $1 : 56$
- **B)** $1 : 16$
- **C)** $1 : 14$
- **D)** $1 : 8$
- **E)** $1 : 4$

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