Final answer:
The rope will not move to the left or right
Step-by-step explanation:
When multiple forces act on an object, you can find the net force by summing the forces that act in the same direction and subtracting the forces that act in the opposite direction.
In this scenario, the three students pulling to the left each exert a force of 50 N, resulting in a net force of 150 N to the left. The two students pulling to the right each exert a force of 75 N, resulting in a net force of 150 N to the right.
Since the net forces on the rope pulling to the left and right are equal and opposite, the rope will not move in either direction (not at all).