31. If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?
32. If x2 + 8y2 + 12y - 4xy + 9 = 0, then the value of (7x + 8y) is:
33. If (x + y)3 + 8(x - y)3 = (3x + Ay)(3x2 + Bxy + Cy2), then the value of A + B + C is:
34. If a + b = 10 and $$\sqrt {\frac{a}{b}} - 13 = - \sqrt {\frac{b}{a}} - 11$$ then what is the value of 3ab + 4a2 + 5b2?
35. If 16x2 + 9y2 + 4z2 = 24(x - y + z) - 61, then the value of (xy + 2z) is:
36. If $$x = \frac{a}{b} + \frac{b}{a},\,y = \frac{b}{c} + \frac{c}{b}$$ and $$z = \frac{c}{a} + \frac{a}{c},$$ then what is the value of xyz - x2 - y2 - z2?
37. If $${x^2} + \frac{1}{{25{x^2}}} = \frac{8}{5}$$ and x > 0, then what is the value of $${x^3} + \frac{1}{{125{x^3}}} = ?$$
38. The graphs of the equations 3x - 20y - 2 = 0 and 11x - 5y + 61 = 0 intersect at P(a, b). What is the value of (a2 + b2 - ab)(a2 - b2 + ab)?
39. If a + b + c = $$\frac{7}{{12}},$$ 3a - 4b + 5c = $$\frac{3}{4}$$ and 7a - 11b - 13c = $$ - \frac{7}{{12}},$$ then what is the value of a + c?
40. If (2x + 3)3 + (x - 8)3 + (x + 13)3 = (2x + 3)(3x - 24)(x + 13), what is the value of x?
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