Solution

35677

First name
Tyler Cross
School
Saint Aidan's CE Tech College
Country
Age
12

I needed to use a negative number to get 0. I also needed a pair of values that add to 15. To get both odd and even answers to need odd and even numbers, since

odd + odd = even
odd + even = odd

Once I had -1, 10 and 15, I used trial and improvement to find the other two numbers

Solution: -1, 1 , 3, 5 and 10