
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
For a sports parade, the coach decided to line the children up in rows of 8, but 5 children were left over. Then, he lined them up in rows of 10, with 3 spaces left empty. It is known that there were no fewer than 100 and no more than 150 children. How many children were there?

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