Given $(x+y+z)^{15}$ find the coefficient of $x^2y^{10}z^{3}$
13833
What is the coefficient of the term $a^i b^j c^k$ in the expansion of $(a+b+c)^n$?
124223
Find all pairs (x, y) of real numbers such that $16^{x^2+y} + 16^{x+y^2}=1$
87029
Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
110955
Find the coefficient of $x^9$ in $(1+x)(1+x^2)(1+x^3)\cdots(1+x^{100})$
34942
solving $x^3-2y^3=1$ using cubic number field
48154
Find the minimum value of $f(x,y,z)=\frac{x^2}{(x+y)(x+z)}+\frac{y^2}{(y+z)(y+x)}+\frac{z^2}{(z+x)(z+y)}$.
29151
Equation with Vieta Jumping: $(x+y+z)^2=nxyz$.
56796
Maximum of $x^3+y^3+z^3$ with $x+y+z=3$
22528
maximum value of $xy+yz+zx.$ given $x+2y+z=4$
13120
Find all integer solutions to $x^2+y^2+z^2=2xyz$
83557
$\frac{x^2}{y+z}+\frac{y^2}{x+z}+\frac{z^2}{x+y} \ge \frac{1}{2}(x+y+z)$
143194
How would you solve the diophantine $x^4+y^4=2z^2$
58311
How to find the solution of a quadratic equation with complex coefficients?
50433
Prove $4(x + y + z)^3 > 27(x^2y + y^2z + z^2x)$
73607
Find the residue at $z=-2$ for $g(z) = \frac{\psi(-z)}{(z+1)(z+2)^3}$
111467
find all natural solution that satisfy $x^2+y^2 = 3z^2$
119691
$5^{x}+2^{y}=2^{x}+5^{y} =\frac{7}{10}$ Work out the values of $\frac{1}{x+y}$