
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

Baba Yaga and Koschei the Immortal tried to equally divide a magical powder that turns everything into gold. Baba Yaga took out scales and weighed the entire powder. The scales showed 6 zolotniks. Then she started removing the powder until the scales showed 3 zolotniks. However, Koschei suspected that the scales were inaccurate and weighed the removed portion separately on the same scales (as there were no others). The scales showed 2 zolotniks. Determine the exact weight of the two portions into which Baba Yaga divided the powder. Assume that if the scales are inaccurate, they always err by the same amount. 

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