query: Solve $z^3 + 1 = 0$ where $z$ is a complex number
positive_passages.docid: 28502
positive_passages.text: How to solve $x^3=-1$?
negative_passages.docid: 82083
negative_passages.text: Solving $(z+1)^5 = z^5$
negative_passages.docid: 90933
negative_passages.text: Finding the roots of complex numbers
negative_passages.docid: 58675
negative_passages.text: The real or purely imaginary solutions of the equation, $z^3+iz-1=0$ are?
negative_passages.docid: 87029
negative_passages.text: Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
negative_passages.docid: 51314
negative_passages.text: How to prove that a complex number is not a root of unity?
negative_passages.docid: 107704
negative_passages.text: Applications of complex numbers to solve non-complex problems
negative_passages.docid: 48337
negative_passages.text: Complex numbers equation: $z^4 = -16$
negative_passages.docid: 20305
negative_passages.text: Complex roots of $z^3 + \bar{z} = 0$
negative_passages.docid: 24822
negative_passages.text: How to solve the equation $(z+1)^7 = z^7$ for all $z$?
negative_passages.docid: 122181
negative_passages.text: Application of Complex Numbers
negative_passages.docid: 37108
negative_passages.text: Solve $\cos(z)=\frac 34+\frac i4$
negative_passages.docid: 158605
negative_passages.text: Finding The Laurent Series for $\sin(\frac{z}{1+z})$ at $z = -1.$
negative_passages.docid: 56341
negative_passages.text: Solving complex numbers equation $z^3 = \overline{z} $
negative_passages.docid: 42713
negative_passages.text: Solutions to the equation $ze^{a-z}=1$
negative_passages.docid: 115229
negative_passages.text: Find the zeros of $h(z)=z^6-5z^4+3z^2-1$ within the unit disc - Verification
negative_passages.docid: 42165
negative_passages.text: Complex numbers and Roots of unity