
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 barrel of honey, together with the barrel, weighs 56 kilograms. After pouring out half of the honey, the remaining weight of the barrel and honey is 34 kilograms. How many kilograms of honey were originally in the barrel? How much does the barrel weigh?

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