
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
A belt drive system consists of the wheels \(K\), \(L\) and \(M\), which rotate without any slippage. The wheel \(L\) makes 4 full turns when \(K\) makes 5 full turns; also \(L\) makes 6 full turns when \(M\) makes 7 full turns. The perimeter of wheel \(M\) is 30 cm. What is the perimeter of wheel \(K\)?

A) 27 cm
B) 28 cm
C) 29 cm
D) 30 cm
E) 31 cm

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