61. If $$2x + \frac{2}{x} = 3{\text{,}}$$ then the value of $${x^3} + \frac{1}{{{x^3}}} + 2$$ is?
62. If a + b + c = 15 and a2 + b2 + c2 = 83 then the value of a3 + b3 + c3 - 3abc = ?
63. If $$x + \frac{1}{{x + 1}} = 1,$$ then $${\left( {x + 1} \right)^5}$$ + $$\frac{1}{{{{\left( {x + 1} \right)}^5}}}$$ equals?
64. If a + b + c = 0, then a3 + b3 + c3 is equal to?
65. If x = y = 333 and z = 334, then the value of x3 + y3 + z3 - 3xyz is?
66. If $$a = \frac{{{b^2}}}{{b - a}}{\text{,}}$$ then the value of a3 + b3 is?
67. If x = -1, then the value of $$\frac{1}{{{x^{99}}}}$$ + $$\frac{1}{{{x^{98}}}}$$ + $$\frac{1}{{{x^{97}}}}$$ + $$\frac{1}{{{x^{96}}}}$$ + $$\frac{1}{{{x^{95}}}}$$ + $$\frac{1}{{{x^{94}}}}$$ + $$\frac{1}{x}$$ - 1 is?
68. If $$\frac{1}{{\root 3 \of 4 + \root 3 \of 2 + 1}}$$ = $$a\root 3 \of 4 $$ + $$b\root 3 \of 2 $$ + c and a, b, c are rational numbers then a + b + c is equal to?
69. If $$x = \root 3 \of {2 + \sqrt 3 } {\text{,}}$$ then the value of $${x^3}{\text{ + }}\frac{1}{{{x^3}}}$$ is?
70. The simplest form of the expression $$\frac{{{p^2} - p}}{{2{p^3} + {p^2}}}$$ + $$\frac{{{p^2} - 1}}{{{p^2} + 3p}}$$ + $$\frac{{{p^2}}}{{p + 1}}$$ = ?
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