
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 box contains chips, each of which is either red, white, or blue. There are blue chips, which are at least a quarter of the white chips and at most a sixth of the red chips. The combined count of white and blue chips is at least $75$. Find the minimum number of red chips.
A) 60
B) 75
C) 90
D) 100
E) 105

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