Can depression lead to other problems? Does it often?

Yes it can, and yes, depression almost always leads to other problems. Depression is a dark force that takes over your life. It invades everything.

I think it can. Anxiety and suicidal thoughts are a couple of other problems that could occur. I would say that depression leads to other problems more than half the time.

Yes, untreated depression can lead to suicidal tendencies. It will if left untreated; seek prompt professional help.

Yes,Depression can lead to other problems such as sleeping or eating disorders.It can even interfere with our daily works if not taken care of.

If it goes untreated depression can definitely lead to other problems. It could lead you into financial problems or your relationship. Anything you need motivation to keep on doing will suffer during depression.

personally i have seen that depression can lead to lack of motivation in work. therefore it can lead to worsened grades, a worse further education and a worse life

Besides the risk and problems depression alone plays on you, it's definitely not uncommon for other mental illnesses to be triggered by the depression. It has been commonly linked to most forms of Anxiety(General, social, separation, panic, phobia, etc) OCD, Body Dysmorphic Disorder, Eating Disorders, Dissociation/Depersonalization, etc. That does not mean you are determined or "supposed" to have any other illnesses, simply that it's been associated with these other disorders before.

Depression can lead to other problems such as a lack of socialization, problems in your household and a lack of well being

Yes, depression can lead to insomnia, OCD, anxiety, bulimia nervosa and more other mental ilnesses.