Is mathematics discovered or invented?

I think that it depends on how broad you see the topic mathematics. I see every single calculation as mathematics. And the answer in my eyes are also mathematics. Therfore i could say that most discoveries in physics are also discoveries in mathematics. For example when you take the physics and mathematical topic mechanics. This topic allows us to calculate the speed of a certain object. Consequently it allowed us to calcute the speed of jupiter and the earth. We discovered through these calculation that jupiter is moving faster than the earth. The same method works to compare the speed of a car and a train. Therefore we can conclude that we discovered a formula to calculate the speed of different objects. Because there has always been an correlation between speed, time and distance. However we invented the units we use in this formula. We invented the units metres and seconds.