I've been stuck on this problem for a while, after starting C1 AS level maths a few weeks ago. Here is the question:

Curve C => y = ax³ - x² + x - 5, a is some constant.

Point P => (-1/2, y)

Tangent to C at P is parallel to y = (7x - 1)/2

Find a.

Any help will be appreciated, thanks.