
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 full of water weighs $M$ kg. When the bucket is three-quarters full, it weighs $N$ kg, and when one-third full, it weighs $P$ kg. Determine the weight of the empty bucket.
A) $4M - 3N$
B) $3M - 4N$
C) $4N - 3M$
D) $N - M$
E) $M + N$

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