
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 wizard is preparing a magical elixir. He has four magical herbs and five enchanted gems to choose from. Unfortunately, one of the gems does not work well with three of the herbs. Assuming all other combinations are viable, how many different ways can the wizard prepare his elixir?

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