
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 box of hawthorns contains more than 100 hawthorns. When counted in groups of 3, there is 1 hawthorn left over; when counted in groups of 4, there are 2 hawthorns left over; when counted in groups of 5, there are 3 hawthorns left over; and when counted in groups of 6, there are 4 hawthorns left over. What is the maximum number of hawthorns in the box?

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