
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 group of monkeys is divided into three subgroups, with each subgroup having an equal number of monkeys. They go to the orchard to pick peaches. After finishing the picking, they combine all the peaches and distribute them equally among all the monkeys. If each monkey receives 5 peaches, there are 27 peaches left over; if each monkey receives 7 peaches, then at least one monkey receives fewer than 7 peaches. What is the total number of peaches this group of monkeys has picked?

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