
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
Xanthia buys hot dogs in packages of 10, hot dog buns in packages of 15, and cheese slices in packages of 6. What is the smallest number of hot dog packages she can buy to ensure that each hot dog has a bun and a cheese slice, considering they must be in equal quantity?

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