
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
If a student volunteer group distributes 4 boxes of milk to each child and has 28 boxes of milk leftover, and if they give each child 5 boxes of milk, the last child gets at least 2 boxes, calculate the minimum number of children at the welfare institute.

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