
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
Bucket A, Bucket B, and Bucket C each contain some oil. First, $\frac{1}{3}$ of the oil in Bucket A is poured into Bucket B. Then, $\frac{1}{5}$ of the oil in Bucket B is poured into Bucket C. At this point, the amount of oil in each of the three buckets is the same. If Bucket C originally had 48 kilograms of oil, determine the initial amount of oil in Bucket A and Bucket B.

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