
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 set of marbles can be divided in equal shares among $3$, $4$, $5$, $6$, $7$, or $8$ children with no marbles left over. What is the least number of marbles that the set could have if after finding this number, 10 marbles are lost?

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