
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 it is three-quarters full weighs $p$ kilograms, and when it is one-third full, it weighs $q$ kilograms. Determine the weight of the bucket when it is completely full.
A) $\frac{5}{2}p - \frac{3}{2}q$
B) $2p - q$
C) $q + \frac{8}{5}(p - q)$
D) $p + 1.6q$
E) $\frac{9}{5}p - \frac{4}{5}q$

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