
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
Given that Mrs. Wanda Wake drives to work at 7:00 AM, if she drives at an average speed of 30 miles per hour, she will be late by 2 minutes, and if she drives at an average speed of 50 miles per hour, she will be early by 2 minutes. Find the required average speed for Mrs. Wake to get to work exactly on time.

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