
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
Given that $70\%$ of students at Nova Middle School enjoy playing soccer, and $75\%$ of those who enjoy playing soccer correctly state that they enjoy it, while $85\%$ of those who do not enjoy playing soccer correctly state that they do not enjoy it, determine the fraction of students who say they do not enjoy playing soccer but actually enjoy it.

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