
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
One school library has 24,850 books, and another has 55,300 books. When these books were arranged evenly on shelves, 154 books were left in the first library, and 175 books were left in the second library. How many books were placed on each shelf?

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