
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
Points \( M \) and \( N \) are both on the line segment \( CD \) and on the same side of its midpoint. \( M \) divides \( CD \) in the ratio \( 3:5 \), and \( N \) divides \( CD \) in the ratio \( 4:5 \). If the length of \( MN \) is \( 4 \), find the length of \( CD \).
A) 48
B) 55
C) 57.6
D) 60
E) 64

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