Was mathematics invented? Or discovered?

Was mathematics invented, or discovered? This is a question that strikes my interest. To me, it is mainly about how the terms invented and discovered are defined. According to Google definitions, the terminology 'invented' is defined as: "come up with (an idea, plan, explanation, theory, or principle)", and discovered is defined as: To expose something previously covered. With the help of these definitions, I came to conclusions with myself that Mathematics was indeed, invented. As one had to collect a set of numbers (not necessarily all numbers), to create all sorts of formulas and patterns that resolute the relationship between each of those elements. Therefore, I believe that Mathematics, as a formula had to be invented. However, I am open to different opinions, and in the future I plan to analyze this matter more precisely than this.