
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
A bag contains chips that are either purple, green, or orange. The number of green chips is at least one third the number of purple chips, and at most one quarter the number of orange chips. The total number of chips that are purple or green is at least $75$. Determine the minimum number of orange chips.
A) 65
B) 70
C) 75
D) 76
E) 80

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