
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
I have 5 shirts, 3 pairs of pants, and 5 hats. The pants come in red, green, and blue. The shirts and hats come in those colors, plus orange and purple. I refuse to wear an outfit where the shirt and the hat are the same color. How many choices for outfits, consisting of one shirt, one hat, and one pair of pants, do I have?

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