
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
In a variation of the game of Mindmaster, codes are formed by placing pegs of any of seven different colors into five slots. Colors may be repeated, and no slot may remain empty. Calculate how many different codes can be created.

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