Synthetic division for: $\frac{60 x^{3}+43x^{2}-34x-24}{3x+2}$
129946
Synthetic division of polynomials by factor of the form $(ax+b)$
48053
Show that 13 divides $2^{70}+3^{70}$
74143
Simplifying and evaluating $\cot 70^\circ+4\cos 70^\circ$
2300
Determine the remainder when $f(x) = 3x^5 - 5x^2 + 4x + 1$ is divided by $(x-1)(x+2)$
156376
Find the values of $n$ that make the fraction $\frac{2n^{7}+1}{3n^{3}+2}$ reducible.
113458
How to factor $a^n - b^n$?
144953
Value of $\frac{x^n -a^n}{ x-a}$?
74081
Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$
44418
Division algorithm for multivariate polynomials?
26287
Find $\frac{a^2}{2a^2+bc}+\frac{b^2}{2b^2+ac}+\frac{c^2}{2c^2+ab}$ if $a+b+c=0$
142769
Let $f(x) =7x^{32}+5x^{22}+3x^{12}+x^2$. Then find its remainder in the following cases.
148671
Trying to factor $x^4-3$ over $\Bbb{F}_p$ with $p\equiv 3\mod{4}$
81058
Evaluate $6^{433} \pmod {21}$ and a proving question
54055
Proof $\prod_{i = 1}^n \frac{n + i}{2i-3} = 2^n(1-2n)$ using inducction
130825
How to factor intricate polynomial $ ab^3 - a^3b + a^3c -ac^3 +bc^3 - b^3c $
105117
$1 + \frac{1}{3}\frac{1}{4} + \frac{1}{5}\frac{1}{4^2} + \frac{1}{7}\frac{1}{4^3} + ..........$
38871
How to obtain the complete factorization of $P_n(X)=\frac{(X+i)^{2n+1} - (X-i)^{2n+1}}{2i} = 0$