Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
20901	Divide Using Long Polynomial Division	(6x^2-6+8x^3)/(4x-3)	$\frac{6 x^{2} - 6 + 8 x^{3}}{4 x - 3}$
20902	Divide Using Long Polynomial Division	(6x^3+2x^2+26x)/(2x^2+5)	$\frac{6 x^{3} + 2 x^{2} + 26 x}{2 x^{2} + 5}$
20903	Divide Using Long Polynomial Division	(6x^3+4x^2-x)/(x^2-4)	$\frac{6 x^{3} + 4 x^{2} - x}{x^{2} - 4}$
20904	Divide Using Long Polynomial Division	(6x+2)/x	$\frac{6 x + 2}{x}$
20905	Divide Using Synthetic Division	(x^3+2x^2-13-11)/(x-2)	$\frac{x^{3} + 2 x^{2} - 13 - 11}{x - 2}$
20906	Divide Using Synthetic Division	(x^3+2x^3-10)/(x+2)	$\frac{x^{3} + 2 x^{3} - 10}{x + 2}$
20907	Divide Using Synthetic Division	(x^3-3x^2-7x+12)/(x-4)	$\frac{x^{3} - 3 x^{2} - 7 x + 12}{x - 4}$
20908	Divide Using Synthetic Division	(x^3-7x^2+19x-13)/(3+2i)	$\frac{x^{3} - 7 x^{2} + 19 x - 13}{3 + 2 i}$
20909	Divide Using Synthetic Division	(x^4-3x^2-5x+2)/(x-2)	$\frac{x^{4} - 3 x^{2} - 5 x + 2}{x - 2}$
20910	Divide Using Synthetic Division	(x^5+5x^3-10)/(x+1)	$\frac{x^{5} + 5 x^{3} - 10}{x + 1}$
20911	Divide Using Synthetic Division	(100c)/(4700+c)	$\frac{100 c}{4700 + c}$
20912	Divide Using Synthetic Division	(12x^3-20x^2+x+3)/(2x-3)	$\frac{12 x^{3} - 20 x^{2} + x + 3}{2 x - 3}$
20913	Divide Using Synthetic Division	(15a^4-5a^3+10)/(5a)	$\frac{15 a^{4} - 5 a^{3} + 10}{5 a}$
20914	Divide Using Synthetic Division	(-15x^9+25x^6)/(-5x^3)	$\frac{- 15 x^{9} + 25 x^{6}}{- 5 x^{3}}$
20915	Divide Using Synthetic Division	(18x^4+12x^3+19x^2)/(2x^2+3)	$\frac{18 x^{4} + 12 x^{3} + 19 x^{2}}{2 x^{2} + 3}$
20916	Divide Using Synthetic Division	(2x^2+x+1)/(2x-1)	$\frac{2 x^{2} + x + 1}{2 x - 1}$
20917	Divide Using Synthetic Division	(2x^3+6x^2-11x-12)/(x+4)	$\frac{2 x^{3} + 6 x^{2} - 11 x - 12}{x + 4}$
20918	Divide Using Synthetic Division	(3x^2-12x+12)/(x-2)	$\frac{3 x^{2} - 12 x + 12}{x - 2}$
20919	Divide Using Synthetic Division	(3x^3y^2-x^2y^2+x^2y)/(x^2y)	$\frac{3 x^{3} y^{2} - x^{2} y^{2} + x^{2} y}{x^{2} y}$
20920	Divide Using Synthetic Division	(3x^4+2x^3-5x^2-4)/(x+2)	$\frac{3 x^{4} + 2 x^{3} - 5 x^{2} - 4}{x + 2}$
20921	Divide Using Synthetic Division	3/(x+5)	$\frac{3}{x + 5}$
20922	Divide Using Synthetic Division	(339+25x-0.09x^2+0.0004x^3)/x	$\frac{339 + 25 x - 0.09 x^{2} + 0.0004 x^{3}}{x}$
20923	Divide Using Synthetic Division	(4x^4-15x^3-5x^2+52x-30)/(x-3)	$\frac{4 x^{4} - 15 x^{3} - 5 x^{2} + 52 x - 30}{x - 3}$
20924	Divide Using Synthetic Division	(48x^11-12x^10+30x^8+12x^6+5x^5)/(6x^8)	$\frac{48 x^{11} - 12 x^{10} + 30 x^{8} + 12 x^{6} + 5 x^{5}}{6 x^{8}}$
20925	Divide Using Synthetic Division	(5a^4-2a^2+4)/(2a^2)	$\frac{5 a^{4} - 2 a^{2} + 4}{2 a^{2}}$
20926	Divide Using Synthetic Division	(6(7x+1))/(5(x-8))	$\frac{6 (7 x + 1)}{5 (x - 8)}$
20927	Divide Using Synthetic Division	(7x^3-9x-27)/(x-9/7)	$\frac{7 x^{3} - 9 x - 27}{x - \frac{9}{7}}$
20928	Divide Using Synthetic Division	(7x-14)/(2-x)	$\frac{7 x - 14}{2 - x}$
20929	Divide Using Synthetic Division	(8x^2y^2+6xy^2-8y^2)/(2x^2y)	$\frac{8 x^{2} y^{2} + 6 x y^{2} - 8 y^{2}}{2 x^{2} y}$
20930	Divide Using Synthetic Division	(9x^3-10x+21)/(3x-4)	$\frac{9 x^{3} - 10 x + 21}{3 x - 4}$
20931	Divide Using Synthetic Division	(x^2+2x)/(x+2)	$\frac{x^{2} + 2 x}{x + 2}$
20932	Divide Using Synthetic Division	(x-4)/(4-x)	$\frac{x - 4}{4 - x}$
20933	Divide Using Synthetic Division	(z+4)/(z-4)	$\frac{z + 4}{z - 4}$
20934	Divide Using Long Polynomial Division	(n^2+10n+18)÷(n+5)	$(n^{2} + 10 n + 18) \div (n + 5)$
20935	Divide Using Long Polynomial Division	(p^3-10p^2+20p+26)÷(p-5)	$(p^{3} - 10 p^{2} + 20 p + 26) \div (p - 5)$
20936	Divide Using Long Polynomial Division	(v^3-2v^2-14v-5)÷(v+3)	$(v^{3} - 2 v^{2} - 14 v - 5) \div (v + 3)$
20937	Divide Using Long Polynomial Division	(b^3+8b^2-20b)/(b-2)	$\frac{b^{3} + 8 b^{2} - 20 b}{b - 2}$
20938	Divide Using Long Polynomial Division	(k^3-4k^2-30k-18)/(3+k)	$\frac{k^{3} - 4 k^{2} - 30 k - 18}{3 + k}$
20939	Divide Using Long Polynomial Division	(n^2-n-29)/(n-6)	$\frac{n^{2} - n - 29}{n - 6}$
20940	Divide Using Long Polynomial Division	(-9x^5+3x^4-12)/(3x^3)	$\frac{- 9 x^{5} + 3 x^{4} - 12}{3 x^{3}}$
20941	Find the Domain	(a^2+2b)(a^2-2b)	$(a^{2} + 2 b) (a^{2} - 2 b)$
20942	Find the Domain	(x^2y^3)x(2xy)^2	$(x^{2} y^{3}) x {(2 x y)}^{2}$
20943	Find the Domain	(x^2-1)(x^2-9)	$(x^{2} - 1) (x^{2} - 9)$
20944	Find the Domain	(1+2j)(-2+3j)+(-5-j)	$(1 + 2 j) (- 2 + 3 j) + (- 5 - j)$
20945	Find the Domain	(10x^5y)(7xy^4)	$(10 x^{5} y) (7 x y^{4})$
20946	Find the Domain	(12a^5-6a-10a^3)-(10a-2a^5-14a^4)	$(12 a^{5} - 6 a - 10 a^{3}) - (10 a - 2 a^{5} - 14 a^{4})$
20947	Find the Domain	(1-2i)x+(1+2i)y=1+i	$(1 - 2 i) x + (1 + 2 i) y = 1 + i$
20948	Find the Domain	(2x^2-5x-3)+3	$(2 x^{2} - 5 x - 3) + 3$
20949	Find the Domain	(2+3i)(2-3i)	$(2 + 3 i) (2 - 3 i)$
20950	Find the Domain	(2-3i)(3-5i)	$(2 - 3 i) (3 - 5 i)$
20951	Find the Domain	-x^2+8x-17	$- x^{2} + 8 x - 17$
20952	Find the Domain	x^3-6x^2	$x^{3} - 6 x^{2}$
20953	Find the Domain	x^5=(y^2)/33	$x^{5} = \frac{y^{2}}{33}$
20954	Divide Using Synthetic Division	((12r+24)/(36r-36))/((6r+12)/(8r-8))	$\frac{\frac{12 r + 24}{36 r - 36}}{\frac{6 r + 12}{8 r - 8}}$
20955	Divide Using Synthetic Division	((2m-1)/(m^2-3m-10))/((4m^2-1)/(4m+8))	$\frac{\frac{2 m - 1}{m^{2} - 3 m - 10}}{\frac{4 m^{2} - 1}{4 m + 8}}$
20956	Divide Using Synthetic Division	(3x^2-7x+4)/(x+2)	$\frac{3 x^{2} - 7 x + 4}{x + 2}$
20957	Divide Using Synthetic Division	(9^(2n)-3^(2n))/(27^n+9^n)	$\frac{9^{2 n} - 3^{2 n}}{27^{n} + 9^{n}}$
20958	Divide Using Synthetic Division	(x^2+x-5)/(x-2)	$\frac{x^{2} + x - 5}{x - 2}$
20959	Divide Using Synthetic Division	(x^2-4)/(x+1)	$\frac{x^{2} - 4}{x + 1}$
20960	Divide Using Synthetic Division	(x^2-5*x+15)/(x-3)	$\frac{x^{2} - 5 \cdot x + 15}{x - 3}$
20961	Simplify	fifth root of (-5)^5	$\sqrt[5]{{(- 5)}^{5}}$
20962	Simplify	fifth root of -b^14c^30	$\sqrt[5]{- b^{14} c^{30}}$
20963	Simplify	fifth root of x^5y^12z^20	$\sqrt[5]{x^{5} y^{12} z^{20}}$
20964	Simplify	square root of 6-5x	$\sqrt{6 - 5 x}$
20965	Simplify	square root of 6x+7	$\sqrt{6 x + 7}$
20966	Divide Using Synthetic Division	((c^2+3c+2)/(c^2-4c+3))/((c+2)/(c-3))	$\frac{\frac{c^{2} + 3 c + 2}{c^{2} - 4 c + 3}}{\frac{c + 2}{c - 3}}$
20967	Divide Using Synthetic Division	((c^2-3c+2)/(2c(c-1)))/((c-2)/(8c))	$\frac{\frac{c^{2} - 3 c + 2}{2 c (c - 1)}}{\frac{c - 2}{8 c}}$
20968	Divide Using Synthetic Division	((7x-28)(5))/((3)(3x-12))	$\frac{(7 x - 28) \cdot (5)}{(3) \cdot (3 x - 12)}$
20969	Divide Using Synthetic Division	(8m^4n^6-12m^12n^-4)/(2m^12n^6)	$\frac{8 m^{4} n^{6} - 12 m^{12} n^{- 4}}{2 m^{12} n^{6}}$
20970	Divide Using Synthetic Division	(8x^3-14x^2-19x-3)/(4x+3)	$\frac{8 x^{3} - 14 x^{2} - 19 x - 3}{4 x + 3}$
20971	Divide Using Synthetic Division	((a+3b)^2)/((a+3b)^-3)	$\frac{{(a + 3 b)}^{2}}{{(a + 3 b)}^{- 3}}$
20972	Solve by Completing the Square	2x^2+4x-3=0	$2 x^{2} + 4 x - 3 = 0$
20973	Solve by Completing the Square	2x^2+7x-15=0	$2 x^{2} + 7 x - 15 = 0$
20974	Solve by Completing the Square	2x^2-3x-8=0	$2 x^{2} - 3 x - 8 = 0$
20975	Solve by Completing the Square	2x^2-3x-9=0	$2 x^{2} - 3 x - 9 = 0$
20976	Solve by Completing the Square	2=2+2x-15+x^2	$2 = 2 + 2 x - 15 + x^{2}$
20977	Solve by Completing the Square	3x^2+12x=33	$3 x^{2} + 12 x = 33$
20978	Solve by Completing the Square	3x^2-1=0	$3 x^{2} - 1 = 0$
20979	Solve by Completing the Square	3x^2-9x-50=0	$3 x^{2} - 9 x - 50 = 0$
20980	Solve by Completing the Square	4x^2-16x+11=0	$4 x^{2} - 16 x + 11 = 0$
20981	Solve by Completing the Square	5x^2+4x=1	$5 x^{2} + 4 x = 1$
20982	Solve by Completing the Square	5x^2+8x-4=0	$5 x^{2} + 8 x - 4 = 0$
20983	Solve by Completing the Square	5x^2-2x+13=18x+1	$5 x^{2} - 2 x + 13 = 18 x + 1$
20984	Solve by Completing the Square	x(x+2)+5=3(2-x)+x-4	$x (x + 2) + 5 = 3 (2 - x) + x - 4$
20985	Solve by Completing the Square	x=-2(x^2-10x)	$x = - 2 (x^{2} - 10 x)$
20986	Solve by Completing the Square	x^2-12x+36=90	$x^{2} - 12 x + 36 = 90$
20987	Find the Roots (Zeros)	square root of (x-1)^2+2x=0	$\sqrt{{(x - 1)}^{2}} + 2 x = 0$
20988	Find the Roots (Zeros)	fourth root of -16	$\sqrt[4]{- 16}$
20989	Find the Roots (Zeros)	-x^2-20x+3=0	$- x^{2} - 20 x + 3 = 0$
20990	Find the Roots (Zeros)	x^2-x-462=0	$x^{2} - x - 462 = 0$
20991	Find the Roots (Zeros)	x^4+7x^2+18x+10	$x^{4} + 7 x^{2} + 18 x + 10$
20992	Find the Roots (Zeros)	x^8-9x^6=0	$x^{8} - 9 x^{6} = 0$
20993	Find the Roots (Zeros)	f(x)=-x^2+2x-5	$f (x) = - x^{2} + 2 x - 5$
20994	Find the Roots (Zeros)	2x-1-sin(x)=0	$2 x - 1 - \sin (x) = 0$
20995	Find the Roots (Zeros)	-4x^2+7x-1=0	$- 4 x^{2} + 7 x - 1 = 0$
20996	Find the Roots (Zeros)	a(t)=900e^(0.02925(25))	$a (t) = 900 e^{0.02925 (25)}$
20997	Find the Roots (Zeros)	f(n) = log of n , n=10^9	$f (n) = \log (n)$ , $n = 10^{9}$
20998	Find the Roots (Zeros)	f(r) = square root of 95+5-6	$f (r) = \sqrt{95 + 5 - 6}$
20999	Find the Roots (Zeros)	f(x)=21x^3-32x^2+42x-10	$f (x) = 21 x^{3} - 32 x^{2} + 42 x - 10$
21000	Find the Roots (Zeros)	f(x)=(x^2-3x-4)/(x+3)	$f (x) = \frac{x^{2} - 3 x - 4}{x + 3}$