
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
How many favorites?

The Queen of Hearts once hosted a reception for thirty people. She needed to distribute one hundred pretzels among the guests. Instead of cutting the pretzels into pieces, the Queen preferred to give four pretzels to each of her favorites, and three pretzels to the rest of the guests.

How many favorites did the Queen of Hearts have?

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