
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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A school has 120 male students and 80 female students participating in a math competition, and 120 female students and 80 male students participating in an English competition. It is known that a total of 260 students from the school participated in the competitions, and 75 male students participated in both. The question is: how many female students participated in the math competition but not in the English competition?

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