
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
Rebecca purchases hot dogs that come in packages of seven, and hot dog buns that come in packages of nine. What is the smallest number of hot dog packages she must buy to have an equal number of hot dogs and hot dog buns?

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