Given f(x) = x3 + 4x + k, and the remainder when f(x) is divided
by x + 4 is -65, then what is the value of k?

answer:  

\boxed {\frac{1}{5}}  

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solution-

60 *   \frac{1}{5}   = 12

90 * \frac{1}{5} = 18

75 * \frac{1}{5} = 15

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hence, the answer would be \boxed {\frac{1}{5}}