
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
Carley made treat bags. Each bag contained exactly 1 chocolate, 1 mint, and 1 caramel. The chocolates came in boxes of 50, the mints in boxes of 40, and the caramels in boxes of 25. Given that Carley made complete treat bags with no unused chocolates, mints, or caramels, calculate the minimum total number of boxes that Carley could have bought.

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