
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
Let's consider a different scenario with more tutors and altered schedules. Anthony, Beth, Carlos, and Diana are tutors in their university math center. Anthony works every fifth university day, Beth works every sixth day, Carlos works every eighth day, and Diana works every tenth day. Today, they are all working together. How many university days from today will they next be together tutoring in the math center?

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