
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
Stepan and Pavel prepared feed for horses from oats, corn, and hay. It is known that Stepan prepared feed containing $40\%$ hay, while Pavel's feed contained $26\%$ oats. The percentage of corn in both sets is the same. By mixing 150 kg of Stepan's feed with 250 kg of Pavel's feed, a new mixture was obtained, containing $30\%$ corn. Determine how many kilograms of hay are in the resulting mixture.

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