
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 bucket when three-quarters full of water weighs $p$ kilograms. When the bucket is one-third full, the total weight is $q$ kilograms. What is the weight of the bucket when it is one quarter full, in terms of $p$ and $q$?
A) $\frac{4p - 3q}{5}$
B) $\frac{5q - p}{5}$
C) $\frac{3p - 4q}{5}$
D) $\frac{5p - q}{5}$

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