
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
The volume of the tetrahedron \( A B C D \) is \( V \). Points \( K \), \( L \), and \( M \) are taken on the edges \( C D \), \( D B \), and \( A B \) respectively, such that \( 2 C K = C D \), \( 3 D L = D B \), \( 5 B M = 2 A B \). Find the volume of the tetrahedron \( K L M D \).

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