
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]


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In the United States, coins have the following revised thicknesses: penny, 1.65 mm; nickel, 1.85 mm; dime, 1.25 mm; quarter, 1.80 mm. If a stack of these coins has a total height of 15 mm and a total monetary value of 85 cents, how many of each type of coin are in the stack?

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