If a, b, and c are positive numbers such that `sqrt((a)/(b))=8c and ac=b`, what is the value of c?

If a, b, c and d are four positive numbers such that a+b+c+d=4 , then what is the maximum value of (a+1)(b+1)(c+1)(d+1) ?

If a, b, and c are positive integers such that (a-b+c)(b-c+a)(c-a+b)=15 , then what is the product of a, b and c?

If a, b, c are positive real numbers such that (a+b-c)/c = (a-b+c)/b = (-a+b+c)/a ,find the value of ((a+b)(b+c)(c+a))/(abc)

Let a, b and c be real numbers such that a - 7b + 8c = 4 and 8a + 4b - c = 7. What is the value of a^(2) - b^(2) + c^(2) .

If a, b, c are positive real numbers such that a+b+c=1 , then the greatest value of (1-a)(1-b)(1-c), is

If a, b, c are positive real numbers such that a+b+c=1 , then the greatest value of (1-a)(1-b)(1-c), is

If a,b, and c are positive integers such that a+b+c le8 , the number of possible values of the ordered triplet (a,b,c) is

If a,b, and c are positive integers such that a+b+c le8 , the number of possible values of the ordered triplet (a,b,c) is