
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
Given that the school club collects 60 dollars to decorate their booth, and roses cost 4 dollars each and carnations cost 1 dollar each, with the requirement that at least 5 roses and 10 carnations are used, find the number of different decoration schemes that can be created.

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