\begin{description}
\item[Basic arithmetic:] \ \
  \begin{description}
  \item[{\tt C <- RPSUM(r,A,B) 
}]\index{RPSUM}  Rational polynomial sum.
  \item[{\tt C <- RPDIF(r,A,B) 
}]\index{RPDIF}  Rational polynomial difference.
  \item[{\tt B <- RPNEG(r,A) 
}]\index{RPNEG}  Rational polynomial negative.
  \item[{\tt C <- RPPROD(r,A,B) 
}]\index{RPPROD}  Rational polynomial product.
  \item[{\tt C <- RPRNP(r,a,B) 
}]\index{RPRNP}  Rational polynomial rational number product.
  \item[{\tt  RPQR(r,A,B; Q,R) 
}]\index{RPQR}  Rational polynomial quotient and remainder.
  \end{description}

\item[Differentiation and Integration:] \ \
  \begin{description}
  \item[{\tt B <- RPDMV(r,A) 
}]\index{RPDMV}  Rational polynomial derivative, main variable.
  \item[{\tt B <- RPIMV(r,A) 
}]\index{RPIMV}  Rational polynomial integration, main variable.
  \end{description}

\item[Evaluation:] \ \
  \begin{description}
  \item[{\tt C <- RPEMV(r,A,b) 
}]\index{RPEMV}  Rational polynomial evaluation, main variable.
  \end{description}

\item[Conversion:] \ \
  \begin{description}
  \item[{\tt B <- RPFIP(r,A) 
}]\index{RPFIP}  Rational polynomial from integral polynomial.
  \item[{\tt B <- RPMAIP(r,A) 
}]\index{RPMAIP}  Rational polynomial monic associate of integral polynomial.
  \end{description}

\item[Input/Output:] \ \
  \begin{description}
  \item[{\tt  RPREAD(; r,A) 
}]\index{RPREAD}  Rational polynomial read.
  \item[{\tt  RPEXPREAD(r,V; A,t) 
}]\index{RPEXPREAD}  Rational polynomial expression read.
  \item[{\tt  RPWRITE(r,A,V) 
}]\index{RPWRITE}  Rational polynomial write.
  \item[{\tt  RPDWRITE(r,A,V) 
}]\index{RPDWRITE}  Rational Polynomial Distributive Write.
  \end{description}

\item[Normalization:] \ \
  \begin{description}
  \item[{\tt  RPBLGS(r,A; a,b,s) 
}]\index{RPBLGS}  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \end{description}

\end{description}

