
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 fan rotates 100 times in 1 minute on the "slow" setting. If the rate of rotation doubles on the "medium" setting and doubles again on the "high" setting, determine how many times the fan will rotate in 15 minutes on the "high" setting.

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