
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
Originally, there were three equally sized grassy fields, and the grass grew at a fixed rate. To eat the grass from all three fields, 50 sheep take exactly 18 days. To eat the grass from two fields, 40 sheep take exactly 12 days. Eating the grass from one field, 70 sheep take $\qquad$ days exactly. How many days will it take?

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