
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
Nils has a goose farm. Nils calculated that if he sells 75 geese, the feed will last 20 days longer than if he does not sell the geese. If he buys an additional 100 geese, the feed will last 15 days less than if he does not make the purchase. How many geese does Nils have?

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