
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
Monica tosses a fair 8-sided die. If the roll is a prime number, she wins that amount in dollars. If the roll is a perfect square, she loses that amount in dollars. For any other outcome, she wins nothing. What is the expected value of her winnings on one die toss? Express your answer as a dollar value to the nearest cent.

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