
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 container holds only green, yellow, or orange balls. The number of orange balls is at least one-third the number of green balls and at most one-fourth the number of yellow balls. The combined count of green and orange balls is at least 75. Determine the minimum number of yellow balls required.
A) 73
B) 74
C) 75
D) 76
E) 77

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