
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
The fine horse travels 103 miles on the first day and increases its distance by 13 miles each day, while the inferior horse travels 97 miles on the first day and decreases its distance by half a mile each day from a point 1125 miles away. Determine the day on which the two horses meet.

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