
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 father drives Xiao Hong to a point 1000 meters away from the school and lets her walk the rest of the way. On this day, it took Xiao Hong 22.5 minutes to get from home to school. If Xiao Hong rides her bike from home to school, it takes her 40 minutes. She usually walks 80 meters per minute, and riding her bike is 800 meters per minute slower than her father's driving. Determine the distance from Xiao Hong's home to her school.

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