You have established a fairly high order of filling TI-Basic. user3932000 is correct; There is no built-in function to create the input form of the type you are requesting.
However, there is nothing to stop you from using this interactive interface. Creating this kind of interface from scratch will be a time-consuming process for you, and a memory-consuming press for your calculator, so it does not cost most of the time. There is no template code in which you insert the variables to get the desired results, but you may be able to model it after this quadratic solver that I wrote.
ClrHome a+bi Output(1,1," QUADRATIC Output(2,1," AX²+BX+C Output(3,1,"ZEROS: Output(6,1,"A= Output(7,1,"B= Output(8,1,"C= DelVar YDelVar D " →Str1 While Y≠105 getKey→Y If Ans Then Output(X,4,Str1 Output(3,7,Str1+Str1+Str1+" End X+(Ans=34)-(Ans=25 If Ans<6:8 If Ans>8:6 Ans→X Output(Ans,16,"◄ D(Y≠45→D If Y=25 or Y=34 sum({A,B,C}(X={6,7,8→D If Y=104:⁻D→D 10not(Y)+Y(102≠Y)-13int(Y/13(2>abs(5-abs(5-abs(Y-83 If Ans≤9 D10+Ans-2Ans(D<0→D If X=6:D→A If X=7:D→B If X=8:D→C If A Then 2ˉ¹Aˉ¹(⁻B+{1,⁻1}√(B²-4AC Else If B Then ⁻C/B Else If C Then "No Zeros Else "All Numbers End End End Output(3,7,Ans Output(6,3,A Output(7,3,B Output(8,3,C End ClrHome Ans
Here's a GIF of what he does for you.

With a bit more work. This code can be used on the Graph screen instead of the main screen, providing more options in terms of layout and design.