Question

the teacher made me (repeat) the exercise fill gerand

Answer 1

the teacher made me repeating the exercise

if we write as: the teacher made me to repeat the exercise

thn it will be an infinitive

so,

answer is repeating.....

Answer 2

The teacher made me repeating the exercise. -This is the answer.

About nonfinite verbs and gerund:

• Verbs denote action/ a state of being.
• Action verbs can be classified into finite and nonfinite.
• Finite verbs are those that change their form in the third person singular. An 's' is added at the end of the verb. (Eg): 'He eats', 'she writes', 'it bites', etc.,
• In nonfinite form the verb gets altered with an 'ing' or a 'to' or takes the participle form. That is they are of three kinds:

1.Gerund- (eg) writing, typing, etc.,

2.Infinitive- (eg) to write, to type, etc.,

3.Past participle- (eg) written, typed, etc.,

• Gerunds are words that are in '-ing' form. They act as nouns. (Eg): Swimming is a good exercise. Here 'swimming' is the gerund.
• Similarly we have to use the verb 'repeat' as a gerund. So we have to convert it into 'ing' form and use it as a noun.
• Thus it becomes 'repeating'.
• The answer is: The teacher made me repeating the exercise.