Show that any positive rational number can be expressed as $\frac{a^3+b^3}{c^3+d^3}$.
5287
Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$
141525
Cyclic Inequality $\frac{a^3}{(a+b)(a+c)}$
89265
Proving that $x - \frac{x^3}{3!} 0$
2357
Showing $\frac{x^3y}{x^4+y^2}$ is continuous at all points
21972
How to show that $\sqrt{2}+\sqrt{3}$ is algebraic?
65645
Express $w$ and $\frac1w$ for $w=\frac {\sqrt2+\sqrt3}{\sqrt5-\sqrt3}$ in the simplest form with a rational denominator
99311
Prove $2^{1/3} + 2^{2/3}$ is irrational
112676
Inequality $(a+b+c)(ab+bc+ca)(a^3+b^3+c^3)\le (a^2+b^2+c^2)^3$
111267
Prove that: $2^a+3^b<3a+4b$
157884
For any prime $p>3$ show that 3 divides $2p^2+1$
63804
Proof that every repeating decimal is rational
148310
Showing rational numbers are algebraic
39021
Proving that $\sqrt{2}+\sqrt{3}$ is irrational
99692
Prove that $a^3+b^3+c^3 \geq a^2b+b^2c+c^2a$
55582
How can I show that $\sqrt{1+\sqrt{2+\sqrt{3+\sqrt\ldots}}}$ exists?
86378
Prove that $3(a^3+b^3+c^3) > (a+b+c)(a^2+b^2+c^2)$
55100
The positive integer solutions for $2^a+3^b=5^c$