
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
In a newly established school math lab, Emma, Noah, Olivia, and Liam are tutors. Their work schedules are set as follows: Emma works every fifth school day, Noah works every eighth school day, Olivia works every ninth school day, and Liam works every tenth school day. Today, they all coincidentally worked together. The lab is only open on weekdays (Monday through Friday). After how many school days will all four tutors next work together on a day when the lab is open?

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