How do I define a variable that's a boolean value of a condition?

It may help to break it down by keywords.

Define variables for is_fizz and is_buzz. This means that we need to make new variables with these names.

is_fizz = 
is_buzz = 

Stores a boolean value of the condition. Remember, a boolean value is a True or False statement. You can use a double equals sign to figure out if two values match for instance, 1 == 1 would return True, and 1 == 2 is False! So we know we need the double equals somewhere in our code. We don't know what we are comparing yet, so lets just leave the values on the left and right side of the double equals blank

is_fizz =  ==
is_buzz =  ==

The modulo operator % can be used to check if there is a remainder. The % operator will divide two numbers and return the remainder. If a remainder is zero, it means that the first number is divisible by the second. So, we would put the operation on the left side of the double equals, and zero on the right, because we are comparing the operation to what we want as the answer.

is_fizz = number % 3 == 0
is_buzz = number % 5 == 0

If you open the REPL and set number = 3, you could type in our variables we just created and it should return:

is_fizz
True

is_buzz
False

Hope this helps!

To piggy back off of Jamison Habermann, you can wrap this into a function like so:

name = input("Please enter your name: ")
number = int(input("Please enter a number: "))

def fizz_buzz(number=number):

    is_fizz = number % 3 == 0   # e.g. 9, 3, 12 are all True
    is_buzz = number % 5 == 0   # e.g. 5, 15 are all True

    if is_fizz and is_buzz:
        # both are True then...
        # e.g. 15, 30
        print('is a FizzBuzz number.')

    elif is_fizz:
        print("is a Fizz number.")

    elif is_buzz:
        is_buzz = True
        print("is a Buzz number")

    else:
        # e.g. 8 % 3 is 2 and 8 % 5 is 3
        print("is neither a fizzy or a buzzy number")