
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
Let $a$, $b$, and $c$ denote the number of sunflower, lavender, and marigold seed packets, respectively. The club has collected 60 dollars and spends all of it on sunflower seeds that cost 4 dollars per packet, lavender seeds that cost 1 dollar per packet, and marigold seeds that cost 3 dollars per packet. Find the number of possible combinations of these seed packets.

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