
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 a student travels from her university to her hometown, a distance of 150 miles, in a sedan that averages 25 miles per gallon, and for the return trip she uses a hybrid car averaging 50 miles per gallon due to a different route of 180 miles, calculate the average gas mileage for the entire trip.

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