query: Finding the roots of $x^2+x-6=0$ in $\mathbb{Z}_{14}$
positive_passages.docid: 29989
positive_passages.text: Solve $x^2+5x+6 \equiv 0 \pmod{\!11\cdot 17}$
negative_passages.docid: 72023
negative_passages.text: Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
negative_passages.docid: 72410
negative_passages.text: If $\alpha_1,\alpha_2,\ldots,\alpha_n$ be the roots of the equation $x^n+1$
negative_passages.docid: 150822
negative_passages.text: Finding $\sum_{k=0}^{n-1}\frac{\alpha_k}{2-\alpha_k}$, where $\alpha_k$ are the $n$-th roots of unity
negative_passages.docid: 124240
negative_passages.text: Inductive proof of $\,9 \mathrel| 4^n+6n-1\,$ for all $\,n\in\Bbb N$
negative_passages.docid: 30412
negative_passages.text: How many solutions does the equation $x_1 + x_2 + x_3 = 14$ have, where $x_1$ , $x_2$ , $x_3$ are non-negative integers.
negative_passages.docid: 42916
negative_passages.text: Find the number of real roots of $1+x/1!+x^2/2!+x^3/3! + \ldots + x^6/6! =0$.
negative_passages.docid: 61148
negative_passages.text: Finding real roots of $ P(x)=x^8 - x^7 +x^2 -x +15$
negative_passages.docid: 77820
negative_passages.text: Roots in a polynomial ring
negative_passages.docid: 68915
negative_passages.text: What are the units in $\mathbb{Z}[\root 3 \of 2]$?
negative_passages.docid: 3563
negative_passages.text: Find all roots of $\,x^2\!\equiv x\pmod{\!900}$, i.e all idempotents in $\Bbb Z_{900}$
negative_passages.docid: 131893
negative_passages.text: How to find the roots of $ x^4 + x + 1$ in the extension of $\Bbb F_2$?
negative_passages.docid: 33992
negative_passages.text: Let $\theta$ be a root of $p(x)=x^3+9x+6$, find the inverse of $1+\theta$ in $\mathbb{Q(\theta)}$
negative_passages.docid: 82571
negative_passages.text: Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
negative_passages.docid: 40107
negative_passages.text: primitive n-th roots of unity
negative_passages.docid: 148101
negative_passages.text: Basis for $\mathbb{Z}^2$
negative_passages.docid: 148983
negative_passages.text: If $a$, $b$, $c$ are the roots of $x^3-6x^2+3x+1=0$, find all possible values of $a^2b+b^2c+c^2a$