
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 magical bazaar, wizards were exchanging magical hats, wands, and cloaks. 4 wands are worth 6 cloaks, and 5 wands are worth 5 hats. How many cloaks are equivalent to 5 wands and 1 hat?

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