
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
A certain number of boys and girls are waiting for the bus. In the first bus that arrives at the stop, only fifteen girls board, and there are two boys left for each girl at the bus stop. In the second bus that arrives, only 45 boys board, and five girls are left for each boy at the bus stop. Determine the number of boys and girls that were at the bus stop before the first bus arrived.

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