
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
Derek buys hamburgers that come in packages of 10, and he buys hamburger buns that come in packages of 15. What is the smallest number of hamburger packages he can buy in order to have an equal number of hamburgers and hamburger buns?

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