Let p,q,r,s be four integers such that s is not divisible by 5. If there is an integer a such that pa 3 + qa 2 + ra + s is divisible by 5, prove that there is an integer b such that sb 3 + rb 2 + qb + p is also divisible by 5.
"Logic is the systematic way of reaching the wrong conclusion with confidence" lol.....