Answer:
Did you go with Jamaal and him to see the new program?
Step-by-step explanation:
We would use he if the pronoun is the subject of the sentence and we would use him if the pronoun is the object of the sentence. In this case, him is correct because the pronoun is the object of the sentence.
This always confused me too, but an easy trick to get these right is to delete some of the information from the sentence and see if it sounds right. See below for an example.
Did you go with he to see the new program?
Did you go with him to see the new program?
By taking out "with Jamaal," it is easier to see which one sounds correct. It sounds wierd to use "he" in this sentence, while using "him" sounds right. We would use the same word even if "with Jamaal" is in the sentence.