Question 24
How many positive two-digit integers $b$ make all of the following fractions lowest terms? $$\frac{5b+1}{2},\frac{5b+2}{3},\frac{5b+3}{4},\ldots,\frac{5b+440}{441}.$$
Answer format: enter the integer answer without units. Leading zeros are optional; the original paper uses four-digit boxes.
Answer format: enter the integer answer without units. Leading zeros are optional; the original paper uses four-digit boxes.