
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
Suppose I have 7 shirts, 5 ties, 4 pairs of pants, and two types of shoes: formal and casual. An outfit consists of a shirt, pants, optionally a tie (which can be one of the five tie options or no tie at all), and shoes that must match the choice of wearing a tie or not (formal shoes must be worn if a tie is worn; casual shoes are worn without a tie). How many different outfits can I make?

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