query: What are the roots of the equation $8x^3-6x+1=0$?
positive_passages.docid: 25518
positive_passages.text: How can I solve the equation $x^3-x-1 = 0$?
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: 85383
negative_passages.text: No. Of real roots of an equation
negative_passages.docid: 66317
negative_passages.text: How to solve $z^3+z+1=0$?
negative_passages.docid: 33010
negative_passages.text: Roots of $ x^{13} - e^{-x} + x - sin(x) = 0$
negative_passages.docid: 17082
negative_passages.text: Number of real roots of $2 \cos\left(\frac{x^2+x}{6}\right)=2^x+2^{-x}$
negative_passages.docid: 107089
negative_passages.text: finding rational roots of polynomials
negative_passages.docid: 67015
negative_passages.text: Solve $x^2 + 8 = 3^n$, where $x\in\mathbb N$.
negative_passages.docid: 79638
negative_passages.text: Number of solns of $x^6+x=a$ in $\mathbb{F}_{2^m}$, where $m\geq 3$ is odd is same as number of solns of $x^2+ax+1=0$
negative_passages.docid: 38662
negative_passages.text: If $a,b$ are the roots of the equation $2 x^2 -3 x +1 = 0$, find an equation whose roots are $a/(2b +3)$, $b/(2a +3)$
negative_passages.docid: 38160
negative_passages.text: Number of roots of $z^4+z^3+4z^2+2z+3=0$ in each quadrants
negative_passages.docid: 59160
negative_passages.text: Roots of a given equation
negative_passages.docid: 64826
negative_passages.text: Find Number Of Roots of Equation $11^x + 13^x + 17^x =19^x $
negative_passages.docid: 109304
negative_passages.text: The roots of the equation $z^n=(1+z)^n$...
negative_passages.docid: 149254
negative_passages.text: Solving $y^3=x^3+8x^2-6x+8$
negative_passages.docid: 130565
negative_passages.text: Find all solutions to $x^3+(x+1)^3+ \dots + (x+15)^3=y^3$
negative_passages.docid: 153170
negative_passages.text: Find the number of solutions of the equation $e^{4x}+e^{3x}-4e^{2x}+e^x+1=0$