query: Find algebraic equation for epicycloid $\theta \mapsto 4 e^{i\theta} - e^{4i\theta}$
positive_passages.docid: 21261
positive_passages.text: Proof that Epicycloids are Algebraic Curves?
negative_passages.docid: 24128
negative_passages.text: How do i show that $w=z^2$ maps $|z-1|\leq 1$ onto $R=2(1+\cos \theta)$?
negative_passages.docid: 64448
negative_passages.text: Find a quadratic equation with root $x_1^2$ and $x_2^2$
negative_passages.docid: 63679
negative_passages.text: Picture/intuitive proof of $\cos(3 \theta) = 4 \cos^3(\theta)-3\cos(\theta)$?
negative_passages.docid: 56170
negative_passages.text: Solve a complex equation symbolically?
negative_passages.docid: 66161
negative_passages.text: How to solve the equation $n^2 \equiv 0 \pmod{584}$?
negative_passages.docid: 9223
negative_passages.text: Finding $\iiint_K (x^2 -z^2)\, dx\, dy \,dz$
negative_passages.docid: 76716
negative_passages.text: Solve an equation in $\mathbb{R}^+$
negative_passages.docid: 90830
negative_passages.text: Solve the integeral equation (C.S.I.R)
negative_passages.docid: 84893
negative_passages.text: Solutions of the equations of the degree 5 and more
negative_passages.docid: 101299
negative_passages.text: Solving the complex polynomial
negative_passages.docid: 153170
negative_passages.text: Find the number of solutions of the equation $e^{4x}+e^{3x}-4e^{2x}+e^x+1=0$
negative_passages.docid: 83363
negative_passages.text: Finding the real root of a cubic algebraically
negative_passages.docid: 117970
negative_passages.text: Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
negative_passages.docid: 38751
negative_passages.text: What is the antiderivative of $e^{-x^2}$
negative_passages.docid: 102496
negative_passages.text: Derivation of the formula for the vertex of a parabola
negative_passages.docid: 103020
negative_passages.text: Find all integral solutions of $ x^4 + y^4 + z^4 -w^4 = 1995 $