
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
Alice is comparing two internet subscription plans. Plan X charges no upfront fee but costs $15$ cents per megabyte of data used. Plan Y has a one-time fee of $\$25$ and costs $7$ cents per megabyte thereafter. Determine the minimum whole number of megabytes Alice must use for Plan Y to be more cost-effective than Plan X.

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