
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
Bill is sent to a bakery to buy exactly eight donuts. The shop now offers five types of donuts, and Bill must get at least two of the first type and at least one of each of the other types. How many different ways can Bill fulfill this order?

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