MathDB
Analyzing improper fraction

Source:

April 4, 2006
floor function

Problem Statement

For how many integers NN between 11 and 19901990 is the improper fraction N2+7N+4\frac{N^2+7}{N+4} not in lowest terms? (A) 0(B) 86(C) 90(D) 104(E) 105\text{(A)} \ 0 \qquad \text{(B)} \ 86 \qquad \text{(C)} \ 90 \qquad \text{(D)} \ 104 \qquad \text{(E)} \ 105
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