Jack won 65 lollipops playing basketball at the county fair. At school he gave four to every student in his math class. He only has 1 remaining. How many students are in his class?

Let's solve this step by step:

1. Jack won 65 lollipops playing basketball at the county fair.
2. He gave out four lollipops to each student in his math class.
3. He has 1 lollipop remaining.

To find out how many students are in his class, we'll subtract the remaining lollipop from the total number of lollipops Jack won:

65 lollipops - 1 remaining lollipop = 64 lollipops given out

Since he gave out four lollipops to each student, we can divide the total number of lollipops given out by four to find the number of students in his class:

64 lollipops given out ÷ 4 lollipops per student = 16 students

Therefore, there are 16 students in Jack's math class.

Jack gave away 65 - 1 = <<65-1=64>>64 lollipops

64 ÷ 4 = <<64/4=16>>16 students.
There are 16 students in his class at school. Answer: \boxed{16}.

To find the number of students in Jack's math class, we need to divide the total number of lollipops he had after giving each student 4 by the number of lollipops he gave to each student.

First, let's calculate how many lollipops Jack had after giving four to each student:
65 (total lollipops) - 1 (remaining lollipop) = 64 lollipops Jack gave to his classmates

Now, let's divide the remaining lollipops by the number of lollipops Jack gave to each student:
64 (remaining lollipops) ÷ 4 (lollipops given to each student) = 16

Therefore, there are 16 students in Jack's math class.