Cutting insert, cutting tool, and method of manufacturing machined product

A cutting insert, comprising:

• a first surface comprising a first side part, a second side part, and a third side part located between the first side part and the second side part;
• a second surface located opposite of the first surface;
• a third surface located between the first surface and the second surface;
• and
• a cutting edge located at an intersection of the first surface and the third surface, wherein
• the cutting edge comprises:
• a first cutting edge located at the third side part and having a straight line shape in a plan view of the first surface,
• a second cutting edge located at the second side part and having a straight line shape in the plan view, and
• a third cutting edge located between the first cutting edge and the second cutting edge and having a convex curvilinear shape in the plan view, and
• the first cutting edge is located asymmetrically relative to a bisector of an angle formed by the first side part and the second side part in the plan view, and
• the first surface comprises a first inclined surface located along the first cutting edge and inclined toward the second surface at a first inclination angle as going away from the first cutting edge.