query: How to solve $z^3 + \overline z = 0$
positive_passages.docid: 20305
positive_passages.text: Complex roots of $z^3 + \bar{z} = 0$
negative_passages.docid: 72023
negative_passages.text: Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
negative_passages.docid: 117970
negative_passages.text: Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
negative_passages.docid: 19285
negative_passages.text: simplifying $ (h^2_2-h^2_3)\over ({1\over h_3})-({1\over h_2})$
negative_passages.docid: 21679
negative_passages.text: Solving $x^3-y^3=xy+61$ in integers
negative_passages.docid: 51417
negative_passages.text: Solve: $\overline{z}=z^n$
negative_passages.docid: 108244
negative_passages.text: Proof without solving equation that if $(1+z)^n = (1-z)^n$ then Re(z) = 0. Did I do it right?
negative_passages.docid: 72872
negative_passages.text: Number of zeroes of solution to $y''(x)+e^{x^2}y(x)=0$ in $[0,3π]$
negative_passages.docid: 128576
negative_passages.text: How to find $x^4+y^4+z^4$ from equation?
negative_passages.docid: 111443
negative_passages.text: Optimization of $2x+3y+z$ under the constraint $x^2+ y^2+ z^2= 1$
negative_passages.docid: 56796
negative_passages.text: Maximum of $x^3+y^3+z^3$ with $x+y+z=3$
negative_passages.docid: 14759
negative_passages.text: Prove that $ f(z) = 0 $ for all $ z \in \overline{D}(0,1) $.
negative_passages.docid: 103276
negative_passages.text: Solving an equation over the reals: $ x^3 + 1 = 2\sqrt[3]{{2x - 1}}$
negative_passages.docid: 80058
negative_passages.text: Three variable, third degree Diophantine equation
negative_passages.docid: 43537
negative_passages.text: How can $x^2y''-3xy'+3y=0$ be solved?
negative_passages.docid: 28502
negative_passages.text: How to solve $x^3=-1$?
negative_passages.docid: 58675
negative_passages.text: The real or purely imaginary solutions of the equation, $z^3+iz-1=0$ are?