
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 crafting an invisibility elixir. He needs one of four magical herbs and one of six enchanted gems to complete his potion. However, three of these combinations involve herbs and gems that cancel each other's magic. How many successful combinations can he make?

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