Question 1144398
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(corrected response, after reading the problem correctly)<br>
The number of band members is 1 {{{cross(more)}}} less than a multiple of 5 and 1 {{{cross(more)}}} less than a multiple of 7.  Since 5 and 7 are relatively prime (have no common factor), the number of band members is 1 {{{cross(more)}}} less than a multiple of 5*7=35.<br>
Then, since the number of band members is odd (1 {{{cross(more)}}} less than a multiple of 2), the smallest possible number of band members is the smallest odd number that is 1 {{{cross(more)}}} less than a multiple of 35.<br>
ANSWER: {{{cross(2(35)+1)}}} 2(35)-1 = 69