Reverse of chinese remainder thoerm

#1

in chinese remainder theorm we can solve equation of the type
x%2=1,x%7=5,x%3=2 for x
but how to solve the equation of the type
5%x=3
24%x=7
76%x=6
for x?

#2

a%b = c;
a = xb + c; (for some psoitive x >=0)
xb = a - c;
find all divisors of a - c . and check divisor which satisfy all the the eqns

#3

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