\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch1}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull1}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty1}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull1}{\hidepaste}
\tab{5}\spadcommand{RFZ := Fraction UnivariatePolynomial('x, Integer)\bound{RFZ0 }}
\indentrel{3}\begin{verbatim}
   (1)  Fraction UnivariatePolynomial(x,Integer)
                                           Type: Domain
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty1}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty1}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch1}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty1}{\showpaste}
\tab{5}\spadcommand{RFZ := Fraction UnivariatePolynomial('x, Integer)\bound{RFZ0 }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch2}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull2}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty2}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull2}{\hidepaste}
\tab{5}\spadcommand{x : RFZ := 'x\free{RFZ0 }\bound{RFZ }}
\indentrel{3}\begin{verbatim}
   (2)  x
         Type: Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty2}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty2}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch2}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty2}{\showpaste}
\tab{5}\spadcommand{x : RFZ := 'x\free{RFZ0 }\bound{RFZ }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch3}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull3}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty3}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull3}{\hidepaste}
\tab{5}\spadcommand{Dx : LODO1 RFZ := D()\bound{Dx }\free{RFZ }}
\indentrel{3}\begin{verbatim}
   (3)  D
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty3}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty3}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch3}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty3}{\showpaste}
\tab{5}\spadcommand{Dx : LODO1 RFZ := D()\bound{Dx }\free{RFZ }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch4}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull4}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty4}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull4}{\hidepaste}
\tab{5}\spadcommand{b : LODO1 RFZ := 3*x**2*Dx**2 + 2*Dx + 1/x\free{Dx }\bound{b }}
\indentrel{3}\begin{verbatim}
          2 2        1
   (4)  3x D  + 2D + Ä
                     x
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty4}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty4}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch4}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty4}{\showpaste}
\tab{5}\spadcommand{b : LODO1 RFZ := 3*x**2*Dx**2 + 2*Dx + 1/x\free{Dx }\bound{b }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch5}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull5}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty5}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull5}{\hidepaste}
\tab{5}\spadcommand{a : LODO1 RFZ := b*(5*x*Dx + 7)\free{b Dx }\bound{a }}
\indentrel{3}\begin{verbatim}
           3 3       2        2         7
   (5)  15x D  + (51x  + 10x)D  + 29D + Ä
                                        x
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty5}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty5}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch5}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty5}{\showpaste}
\tab{5}\spadcommand{a : LODO1 RFZ := b*(5*x*Dx + 7)\free{b Dx }\bound{a }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch6}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull6}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty6}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull6}{\hidepaste}
\tab{5}\spadcommand{p := x**2 + 1/x**2\bound{p }\free{RFZ }}
\indentrel{3}\begin{verbatim}
         4
        x  + 1
   (6)  ÄÄÄÄÄÄ
           2
          x
         Type: Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty6}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty6}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch6}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty6}{\showpaste}
\tab{5}\spadcommand{p := x**2 + 1/x**2\bound{p }\free{RFZ }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch7}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull7}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty7}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull7}{\hidepaste}
\tab{5}\spadcommand{(a*b - b*a) p\free{a b p }}
\indentrel{3}\begin{verbatim}
             4
        - 75x  + 540x - 75
   (7)  ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ
                 4
                x
         Type: Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty7}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty7}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch7}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty7}{\showpaste}
\tab{5}\spadcommand{(a*b - b*a) p\free{a b p }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch8}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull8}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty8}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull8}{\hidepaste}
\tab{5}\spadcommand{ld := leftDivide(a,b)\bound{ld }\free{a b }}
\indentrel{3}\begin{verbatim}
   (8)  [quotient= 5x D + 7,remainder= 0]
Type: Record(quotient: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer),remainder: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer))
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty8}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty8}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch8}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty8}{\showpaste}
\tab{5}\spadcommand{ld := leftDivide(a,b)\bound{ld }\free{a b }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch9}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull9}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty9}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull9}{\hidepaste}
\tab{5}\spadcommand{a = b * ld.quotient + ld.remainder\free{a b ld }}
\indentrel{3}\begin{verbatim}
   (9)
      3 3       2        2         7
   15x D  + (51x  + 10x)D  + 29D + Ä =
                                   x
        3 3       2        2         7
     15x D  + (51x  + 10x)D  + 29D + Ä
                                     x
Type: Equation LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty9}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty9}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch9}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty9}{\showpaste}
\tab{5}\spadcommand{a = b * ld.quotient + ld.remainder\free{a b ld }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch10}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull10}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty10}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull10}{\hidepaste}
\tab{5}\spadcommand{rd := rightDivide(a,b)\bound{rd }\free{a b }}
\indentrel{3}\begin{verbatim}
                                              5
   (10)  [quotient= 5x D + 7,remainder= 10D + Ä]
                                              x
Type: Record(quotient: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer),remainder: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer))
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty10}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty10}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch10}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty10}{\showpaste}
\tab{5}\spadcommand{rd := rightDivide(a,b)\bound{rd }\free{a b }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch11}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull11}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty11}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull11}{\hidepaste}
\tab{5}\spadcommand{a = rd.quotient * b + rd.remainder\free{a b rd }}
\indentrel{3}\begin{verbatim}
   (11)
      3 3       2        2         7
   15x D  + (51x  + 10x)D  + 29D + Ä =
                                   x
        3 3       2        2         7
     15x D  + (51x  + 10x)D  + 29D + Ä
                                     x
Type: Equation LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty11}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty11}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch11}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty11}{\showpaste}
\tab{5}\spadcommand{a = rd.quotient * b + rd.remainder\free{a b rd }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch12}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull12}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty12}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull12}{\hidepaste}
\tab{5}\spadcommand{rightQuotient(a,b)\free{a b }}
\indentrel{3}\begin{verbatim}
   (12)  5x D + 7
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty12}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty12}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch12}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty12}{\showpaste}
\tab{5}\spadcommand{rightQuotient(a,b)\free{a b }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch13}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull13}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty13}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull13}{\hidepaste}
\tab{5}\spadcommand{rightRemainder(a,b)\free{a b }}
\indentrel{3}\begin{verbatim}
               5
   (13)  10D + Ä
               x
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty13}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty13}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch13}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty13}{\showpaste}
\tab{5}\spadcommand{rightRemainder(a,b)\free{a b }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch14}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull14}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty14}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull14}{\hidepaste}
\tab{5}\spadcommand{leftExactQuotient(a,b)\free{a b }}
\indentrel{3}\begin{verbatim}
   (14)  5x D + 7
Type: Union(LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer),...)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty14}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty14}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch14}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty14}{\showpaste}
\tab{5}\spadcommand{leftExactQuotient(a,b)\free{a b }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch15}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull15}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty15}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull15}{\hidepaste}
\tab{5}\spadcommand{e := leftGcd(a,b)\bound{e }\free{a b }}
\indentrel{3}\begin{verbatim}
           2 2        1
   (15)  3x D  + 2D + Ä
                      x
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty15}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty15}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch15}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty15}{\showpaste}
\tab{5}\spadcommand{e := leftGcd(a,b)\bound{e }\free{a b }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch16}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull16}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty16}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull16}{\hidepaste}
\tab{5}\spadcommand{leftRemainder(a, e)\free{a e }}
\indentrel{3}\begin{verbatim}
   (16)  0
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty16}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty16}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch16}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty16}{\showpaste}
\tab{5}\spadcommand{leftRemainder(a, e)\free{a e }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch17}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull17}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty17}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull17}{\hidepaste}
\tab{5}\spadcommand{rightRemainder(a, e)\free{a e }}
\indentrel{3}\begin{verbatim}
               5
   (17)  10D + Ä
               x
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty17}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty17}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch17}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty17}{\showpaste}
\tab{5}\spadcommand{rightRemainder(a, e)\free{a e }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch18}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull18}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty18}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull18}{\hidepaste}
\tab{5}\spadcommand{f := rightLcm(a,b)\bound{f }\free{a b }}
\indentrel{3}\begin{verbatim}
            3 3       2        2         7
   (18)  15x D  + (51x  + 10x)D  + 29D + Ä
                                         x
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty18}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty18}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch18}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty18}{\showpaste}
\tab{5}\spadcommand{f := rightLcm(a,b)\bound{f }\free{a b }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch19}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull19}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty19}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull19}{\hidepaste}
\tab{5}\spadcommand{rightRemainder(f, b)\free{f b }}
\indentrel{3}\begin{verbatim}
               5
   (19)  10D + Ä
               x
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty19}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty19}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch19}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty19}{\showpaste}
\tab{5}\spadcommand{rightRemainder(f, b)\free{f b }}
\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch20}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull20}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty20}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageFull20}{\hidepaste}
\tab{5}\spadcommand{leftRemainder(f, b)\free{f b }}
\indentrel{3}\begin{verbatim}
   (20)  0
Type: LinearOrdinaryDifferentialOperator1 Fraction UnivariatePolynomial(x,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}

\begin{patch}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty20}
\begin{paste}{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty20}{ugxLinearOrdinaryDifferentialOperatorOneRatPagePatch20}
\pastebutton{ugxLinearOrdinaryDifferentialOperatorOneRatPageEmpty20}{\showpaste}
\tab{5}\spadcommand{leftRemainder(f, b)\free{f b }}
\end{paste}\end{patch}