Simplify the expression \$ ((2x^3y^2)(-3xy^4)^2 )/ (6x^4y^3)^2\$.

A) \$ - y^4 / (2x^3)\$

B) \$ y^3 / (2x^2)\$

C) \$ (1/2) times y^4 / (x^3)\$

D) \$ - y^3 / (2x^2)\$

In the system of equations above, g and h are constants. If the system has infinitely many solutions, what is the value of g : h:
2y = - x + 25 and gx = - hy + 100

A) 4 : 8

B) 1 : 2

C) 8 : 4

D) 2 : 1

Simplify the expression \$\sqrt(5 + 2\sqrt6) + \sqrt(5 - 2\sqrt6)\$.

A) \$ 10\sqrt5 \$

B) \$ 3sqrt6 \$

C) \$ 2\sqrt5\$

D) \$ -2\sqrt5 \$

Find the value of q and r :
5q = - 3r + 2 and 12r = - 20q + 8

A) Infinite solutions

B) No solutions

C) Finite solutions

D) None of these

Solve the nonlinear equation \$11x^3 +12 x^2 + x = 0\$.

A) \$ x = 1/11 and x = - 1\$

B) \$ x = - 1/11 and x = - 1\$

C) \$ x = - 2/11 and x = 11\$

D) x = 1 and x = - 3