(a)[3]
Solve the equation $30 + 2x = 3(3 - 4x)$.
(b)[2]
Factorise the expression $12ab^3 + 18a^3b^2$.
(c(i))[2]
Simplify the product $5a^3c^2 \times 2a^2c^7$.
(c(ii))[2]
Simplify the expression $\left(\frac{16a^8}{c^{12}}\right)^{\frac{3}{4}}$.
(d)[3]
Find the value of $y$ when $x = 8$.
(e)[3]
Write $\frac{5}{x-2} - \frac{x-5}{2}$ as a single fraction in its simplest form.