query: Solving $2x^4+x^3-11x^2+x+2 = 0$
positive_passages.docid: 54539
positive_passages.text: Quadratic substitution question: applying substitution $p=x+\frac1x$ to $2x^4+x^3-6x^2+x+2=0$
negative_passages.docid: 124073
negative_passages.text: solving for one solution to a system of polynomials
negative_passages.docid: 72023
negative_passages.text: Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
negative_passages.docid: 156266
negative_passages.text: Solving $|x-2| + |x-5|=3$
negative_passages.docid: 94965
negative_passages.text: Solve $x\equiv 1\pmod2$, $x\equiv 2\pmod3$, $x\equiv 3\pmod4$, $x\equiv 4\pmod5$, $x\equiv 5\pmod6$ and $x\equiv 0\pmod7$
negative_passages.docid: 23112
negative_passages.text: Solving an equation with rational expressions (step by step)
negative_passages.docid: 153111
negative_passages.text: factoring a quadratic equation
negative_passages.docid: 105226
negative_passages.text: How to solve this equation manually: $(x^2+100)^2=(x^3-100)^3$?
negative_passages.docid: 26287
negative_passages.text: Find $\frac{a^2}{2a^2+bc}+\frac{b^2}{2b^2+ac}+\frac{c^2}{2c^2+ab}$ if $a+b+c=0$
negative_passages.docid: 7651
negative_passages.text: Solve $e^{4z} +e^{3z} + e^{2z} + e^z + 1 = 0$.
negative_passages.docid: 133164
negative_passages.text: Rational solutions for $x^2+y^2=3$
negative_passages.docid: 66317
negative_passages.text: How to solve $z^3+z+1=0$?
negative_passages.docid: 71482
negative_passages.text: Solve $p_4(x) = x^4 −(2m + 4)x^2 + (m−2)^2 $such that $p_4$ is a product of two non-constant integer-coeficient polynomials
negative_passages.docid: 44296
negative_passages.text: Solving a cubic polynomial equation.
negative_passages.docid: 117353
negative_passages.text: Polynomial equation $f(x)f(2x^2)=f(2x^3+x)$
negative_passages.docid: 23638
negative_passages.text: $a^2b^2+a^2c^2+b^2c^2\leq 3$
negative_passages.docid: 103276
negative_passages.text: Solving an equation over the reals: $ x^3 + 1 = 2\sqrt[3]{{2x - 1}}$