
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 good horse travels 240 miles a day, a slow horse travels 150 miles a day. If the slow horse starts 12 days earlier, find the number of days it will take for the fast horse to catch up with the slow horse.

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