if `(2x - 1)/3 = (x-2)/3 + 1` , `then` `x = ?`

If (x^(2) + 1)/(x)= 3(1)/(3) and x gt 1 , find x^(3)- (1)/(x^(3))

If 1-1/x=2-2/x , then 3-3/x=

Given f(x) = 1/( (x^2 + 2x+1)^(1/3) + (x^2 -1)^(1/3) + (x^2 - 2x + 1)^(1/3)) and E = f(1) + f(3) + f(5) + ............ + f(999), then

Solve for x : (x-1)/(x-2)+(x-3)/(x-4)=3 1/3;\ \ x!=2,\ 4

2[(1)/(2x + 1) + (1)/(3(2x + 1)^(3)) + (1)/(5(2x + 1)^(5)) + (1)/(5(2x + 1)^(5)) + …] is equal to ,

If y=tan^(-1)(1/(1+x+x^2))+tan^(-1)(1/(x^2+3x+3))+tan^(-1)(1/(x^2+5x+7))++ upto n terms, then find the value of y^(prime)(0)dot

If y=tan^(-1)1/(1+x+x^2)+tan^(-1)1/(x^2+3x+3)+tan^(-1)1/(x^2+5x+7)++ upto n terms, then find the value of y^(prime)(0)dot

Solve for x : 1/ ((x -1)(x -2))+1/( (x-2)(x-3))=2/ 3', x is not equal to 1,2,3 .

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) is