
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
The pasture is full of grass that grows at a constant rate every day. This pasture can feed 10 cows for 20 days, or it can feed 15 cows for 10 days. How many cows can the grass that grows new every day feed? And how many days can this pasture feed 30 cows?

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