query: Solution to simultaneous polynomial equations.
positive_passages.docid: 143541
positive_passages.text: Decomposition of an algebraic number into a sum or product of algebraic numbers with smaller degree
negative_passages.docid: 158933
negative_passages.text: Rational solutions of $y^2 = x^3 - x$
negative_passages.docid: 84893
negative_passages.text: Solutions of the equations of the degree 5 and more
negative_passages.docid: 112334
negative_passages.text: Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
negative_passages.docid: 158719
negative_passages.text: Aligning polynomial terms
negative_passages.docid: 138631
negative_passages.text: Overlapping Polynomials
negative_passages.docid: 2408
negative_passages.text: Show that a polynomial has at least one positive solution/root.
negative_passages.docid: 18903
negative_passages.text: Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
negative_passages.docid: 151148
negative_passages.text: How to solve simultaneous inequalities?
negative_passages.docid: 21743
negative_passages.text: Why are the solutions of polynomial equations so unconstrained over the quaternions?
negative_passages.docid: 22192
negative_passages.text: System of linear equations having a real solution has also a rational solution.
negative_passages.docid: 133101
negative_passages.text: Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial
negative_passages.docid: 77820
negative_passages.text: Roots in a polynomial ring
negative_passages.docid: 3036
negative_passages.text: Is a polynomial equation of degree $\ge 5$ not solvable by any way?
negative_passages.docid: 158063
negative_passages.text: A formula for the roots of a solvable polynomial
negative_passages.docid: 137209
negative_passages.text: Finding the Matrix of a Linear Operator Satisfying a Polynomial
negative_passages.docid: 132410
negative_passages.text: Difficult Polynomial Question