#1: a = (((b^2)*(x^2))+(4*(b^2)*x)+(b^2)+(2*(b^3)*x)+(2*(b^3))+(b^4)+(2*b*(x^2))+(2*b*x)+(x^2))/(((b^3)*(x^2))+(2*(b^4)*x)+(b^5))
#2: a = ((x^(2*n))-(z^(2*n)))/((x^n)-(z^n))
#3: y = (((b+1)^0.5)*((b^2.5)+c))+((((b^2)+b)^0.5)*a)
#4: a = (b^(1-n))/(1+(b^(m-n)))
#5: a = (((b^2)+(b*(c^(1-n)))+(b^0.5))/(b^n)/(1+(b^(m-n))))^0.5
#6: z = ((x^2) + (3*x) + 2)/((x + 1)^(2*(n + 1)))+((x + 1)^(2*(n + 1)))/((x^2) + (3*x) + 2)
simp all
