
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
In two weeks three cows eat all the grass on two hectares of land, together with all the grass that regrows there during the two weeks. In four weeks, two cows eat all the grass on two hectares of land, together with all the grass that regrows there during the four weeks.
 How many cows will eat all the grass on six hectares of land in six weeks, together  with all the grass that regrows there over the six weeks?

 (Assume:  $\bullet$  the quantity of grass on each hectare is the same when the cows begin to  graze, $\bullet$  the rate of growth of the grass is uniform during the time of grazing, $\bullet$  the cows eat the same amount of grass each week.)

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