Request: a best CAS mode menu (History view)

[compsystems]

Hello, the CAS mode menu, should be improved

1: Changing [STO▶] to [:=], ▶ is a HOME mode instruction
2: complement the menu

[STO▶] [Simplify] [■] [■] [■] [■]

that is, the reverse 'simplify' commands must appear, not only in mathematics it is required to simplify.

As first menu

[:=] [Simplify] [Factor] [Expand] [Normal] [Next]

simplify( (x-1)*(x+1)=0 ) returns x^2-1=0
factor( x^2-1=0, x ) returns (x-1)*(x+1)=0 Savings when pressing the keys. 1 versus 3 [Tools][algebra][Factor]

expand((3*x*z+2*z^2+5*z+6)/z) returns 3*x+2*z+5+6/z // [Tools][algebra][expand]

as second menu

[Subst] [Solve] [PartFrac] [] [] [Next]

subst(y = 2*x + 3,y = x^2) returns x^2=(2*x+3)
simplify(2*x-3+x^2=(2*x+3-2*x-3)) returns x^2-2*x-3=0
solve(x^2-2*x-3=0,x,'=') returns [x=-1,x=3]
subst(x^2-2*x-3=0, x=3) returns 0=0 evalb(0=0) returns true
subst(x^2-2*x-3=0, x=-1) returns 0=0 evalb(0=0) returns true
factor(x^2-2*x-3=0) returns (x-3)*(x+1)=0

solve([ y = x^2, y = 2*x + 3 ],[x,y], '=' ) returns [[x=3,y=9],[x=-1,y=1]]

Good idea?