
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
A farmer found out that his cow and goat can eat the grass in a meadow in 45 days, cow and goose in 60 days, and goat and goose in 90 days. If the cow, goat, and goose are all released into the meadow simultaneously, how many days will it take them to eat all the grass?

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