
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 like swimming, and of those who like swimming, $25\%$ say they dislike it, and of those who dislike swimming, $15\%$ say they like it, determine the fraction of students who say they dislike swimming but actually like it.

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