A system of cosmological equations has been obtained that allows one to mathematically derive the values of the parameters of the observable Universe with unprecedented accuracy. The system of equations was formed by combining separate cosmological equations derived at different times by renowned scientists. The parameters of the observable Universe are the roots of the system of algebraic equations, which eliminates the ambiguity of their values. The solution to the inverse problem gives the entire package of parameters of the observable Universe with an accuracy close to the accuracy of the gravitational constant G. Mass of the observable Universe: Mu = 1.15348 u202210^53 kg; radius: Ru = 0.856594u202210^26 m; time: Tu = 2.85729 u202210^17 s; cosmological constant: Ʌ = 1.36285u202210^-52 m^-2; acceleration constant (new parameter of the Universe): Ao = 10.4922u202210^-10 m/s^2. All values of the derived parameters of the Universe are verified with high accuracy using fundamental constants well known in physics.