
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 measuring tape has a length of \( l \) meters and a thickness of \( \frac{d^{\mathrm{m}}}{\mathrm{m}} \). If it is wound in the usual manner, how many coils will it have if the circumference of the first coil is \( k \) cm? How long is the last coil?

Example: \( l = 1.5 \), \( d = 1 \), \( k = 1 \).

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