Find all rational points where $x^2 - y^2 = 1$ (need help simplifying quadratic formula)
60355
Find a formula for all the points on the hyperbola $x^2 - y^2 = 1$? whose coordinates are rational numbers.
109102
Determine all real polynomials with $P(0)=0$ and $P(x^2+1)=(P(x))^2+1$
52960
Show that the curve $x^2+y^2-3=0$ has no rational points
130565
Find all solutions to $x^3+(x+1)^3+ \dots + (x+15)^3=y^3$
137015
Solutions for $a^2+b^2+c^2=d^2$
53157
Factoring Quadratics
155363
Find all integers $(x, y)$ such that $1 + 2^x + 2^{2x + 1} = y^2$
88333
Find all integral solutions of $y^2=x^3+7$
69734
how to find all functions such that $f\left( x^{2} - y^{2} \right) = ( x - y )( f(x) + f(y) )$
29811
Find all polynomials $P$ such that $P(x^2+1)=P(x)^2+1$
66256
Find all solutions of the equality $y^2=x^3+23$ for integers $x,y$
33105
Find the value of $a^2-b^2+c^2$
109706
Fast way to come up with solutions to $x(x-1)(x-2)(x-3)=1$?
69682
Roots of $y=x^3+x^2-6x-7$
50760
Solutions to $y^2 = x^3 + k$?
13120
Find all integer solutions to $x^2+y^2+z^2=2xyz$
77403
Finding the minimal polynomial of $\sqrt 2 + \sqrt[3] 2$ over $\mathbb Q$.