What is the maximum value of the sine function f(x) = sin x, and at what value of x does it occur?
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What is the smallest positive integer value of n in Fermat's Last Theorem, where the equation x^n + y^n = z^n has no solutions?
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What is the average score of a class consisting of 25 students, given that the mean score of 12 students is 75 and the mean score of the remaining 13 students is 85?