
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
At the bus stop near his house, Quinzinho can take buses from two lines to go to school. Buses from one line pass every 15 minutes and buses from the other every 25 minutes, and at 7:30 AM both buses pass together.

(a) At what time will they pass together again?

(b) Between 7:30 AM and midnight, what are the times when the buses pass together at this point near Quinzinho's house?

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