
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
Bob is comparing three cell phone plans. Plan A charges no flat fee, but costs $12$ cents per minute on the phone. Plan B has a flat fee of $\$25$ and charges $6$ cents per minute. Plan C has no flat fee and charges $9$ cents per minute. What is the minimum whole number of minutes Bob has to use the phone for Plan B to be cheaper than both Plan A and Plan C?

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