
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
Derek has a collection of stamps that he intends to arrange evenly into $Z$ groups, each containing the same number of stamps, $W$. There must be more than one stamp in each group, and no group can contain all the stamps. Calculate the smallest possible number of stamps Derek could have if there are 7 possible values for $W$.

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