How to prove that the curve $x^2+y^2-3=0$ has no rational points?
52960
Show that the curve $x^2+y^2-3=0$ has no rational points
141273
When is $\sin(x)$ rational?
40502
The Degree of Zero Polynomial.
72872
Number of zeroes of solution to $y''(x)+e^{x^2}y(x)=0$ in $[0,3π]$
94682
Polynomial: prove there is no double root
106374
Show that $2x^6+12x^5+30x^4+60x^3+80x^2+30x+45=0$ has no real roots
69902
$3$ never divides $n^2+1$
39346
Let $R= \mathbb{Q}[x^2 ,x^3 ]$, the set of all polynomials over $\mathbb{Q}$ with no $x$ term. Show that the $\gcd$ of $x^5$ and $x^6$ does not exist
35504
The Diophantine equation $x^2 + 2 = y^3$
82631
How to find all rational points on the elliptic curves like $y^2=x^3-2$
56877
Show that $\sqrt{4 + 2\sqrt{3}} - \sqrt{3}$ is rational.
151439
$\sqrt{1-x^2}$ is not a rational function
125604
Proof that $\mathbb{Z}$ has no zero divisors
147299
Prove that $g(x,y) = \frac{x^3y}{x^2+y^2}$ with $g(0,0)=0$ is continuous
100862
Polynomials with rational zeros
101704
sum of the residue at all poles of the rational function p/q is 0.
3396
Find the case when $t^3$ never equals to any of the given