
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 contains water. If the amount of water is increased to 4 times the original amount, the total weight of the bucket and water is 16 kilograms. If the amount of water is increased to 6 times the original amount, the total weight of the bucket and water is 22 kilograms. Find the original amount of water in the bucket (in kilograms) and the weight of the bucket (in kilograms).

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