Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
32001	Divide	(x^2+5x+10)/(x^2-x-16)	$\frac{x^{2} + 5 x + 10}{x^{2} - x - 16}$
32002	Divide	( cube root of 16a^10b^2)/( cube root of 2a^5b^-4)	$\frac{\sqrt[3]{16 a^{10} b^{2}}}{\sqrt[3]{2 a^{5} b^{- 4}}}$
32003	Divide	( cube root of 192)/( cube root of 3)	$\frac{\sqrt[3]{192}}{\sqrt[3]{3}}$
32004	Divide	( cube root of 2 square root of 10)/( square root of 10 cube root of 2)	$\frac{\sqrt[3]{2 \sqrt{10}}}{\sqrt{10 \sqrt[3]{2}}}$
32005	Divide	( cube root of 27x^7y^5)/(64xy^8)	$\frac{\sqrt[3]{27 x^{7} y^{5}}}{64 x y^{8}}$
32006	Divide	( cube root of 36)/( cube root of 25)	$\frac{\sqrt[3]{36}}{\sqrt[3]{25}}$
32007	Divide	( cube root of 40)/( cube root of 5)	$\frac{\sqrt[3]{40}}{\sqrt[3]{5}}$
32008	Divide	( cube root of 432x^9y*6)/( cube root of 2y^4)	$\frac{\sqrt[3]{432 x^{9} y \cdot 6}}{\sqrt[3]{2 y^{4}}}$
32009	Divide	( cube root of 52x^5)/(125y^6)	$\frac{\sqrt[3]{52 x^{5}}}{125 y^{6}}$
32010	Divide	( cube root of 54)/( cube root of 2)	$\frac{\sqrt[3]{54}}{\sqrt[3]{2}}$
32011	Divide	( cube root of 56)/( cube root of 7)	$\frac{\sqrt[3]{56}}{\sqrt[3]{7}}$
32012	Divide	( cube root of 81x^9y*4)/( cube root of 3y^2)	$\frac{\sqrt[3]{81 x^{9} y \cdot 4}}{\sqrt[3]{3 y^{2}}}$
32013	Divide	( cube root of 8820)/7	$\frac{\sqrt[3]{8820}}{7}$
32014	Divide	( cube root of x)/( cube root of 9y)	$\frac{\sqrt[3]{x}}{\sqrt[3]{9 y}}$
32015	Divide	( fourth root of a^5b^5)/(ab)	$\frac{\sqrt[4]{a^{5} b^{5}}}{a b}$
32016	Divide	( fourth root of 112x^21y^25)/(7xy^-2)	$\frac{\sqrt[4]{112 x^{21} y^{25}}}{7 x y^{- 2}}$
32017	Divide	( fourth root of 4)/( fourth root of 64)	$\frac{\sqrt[4]{4}}{\sqrt[4]{64}}$
32018	Divide	( fourth root of 8)/(x^8)	$\frac{\sqrt[4]{8}}{x^{8}}$
32019	Divide	( seventh root of x^4)/( eighth root of x)	$\frac{\sqrt[7]{x^{4}}}{\sqrt[8]{x}}$
32020	Divide	((w^2+7w+12)/(w+3))÷((w^2+7w+12)/(w^2-1w))	$\frac{w^{2} + 7 w + 12}{w + 3} \div \frac{w^{2} + 7 w + 12}{w^{2} - 1 w}$
32021	Divide	(w^2+8)/(w^2-5w-14)	$\frac{w^{2} + 8}{w^{2} - 5 w - 14}$
32022	Divide	(x/50)/(100/2)	$\frac{\frac{x}{50}}{\frac{100}{2}}$
32023	Divide	(x^(n+2)+Ax^n)/(x^n)	$\frac{x^{n + 2} + A x^{n}}{x^{n}}$
32024	Divide	(-x^(2/3))/x	$\frac{- x^{\frac{2}{3}}}{x}$
32025	Divide	(t^2-6)/t	$\frac{t^{2} - 6}{t}$
32026	Divide	(t^3+2t-3)/(t-1)	$\frac{t^{3} + 2 t - 3}{t - 1}$
32027	Divide	(t^4+t^3+2t^2-t-3)/(t+1)	$\frac{t^{4} + t^{3} + 2 t^{2} - t - 3}{t + 1}$
32028	Divide	(t^5)/(t^-8)	$\frac{t^{5}}{t^{- 8}}$
32029	Divide	((u^2-v^2)/(u+v))÷(u/(u^2+vu))	$\frac{u^{2} - v^{2}}{u + v} \div \frac{u}{u^{2} + v u}$
32030	Divide	( square root of (a+b)^5r^2y^3)/( square root of 0.25(a+b)r^-6y^5)	$\frac{\sqrt{{(a + b)}^{5} r^{2} y^{3}}}{\sqrt{0.25 (a + b) r^{- 6} y^{5}}}$
32031	Divide	( square root of x^5y^7)/( square root of xy)	$\frac{\sqrt{x^{5} y^{7}}}{\sqrt{x y}}$
32032	Divide	( square root of x^6)/( square root of x^5)	$\frac{\sqrt{x^{6}}}{\sqrt{x^{5}}}$
32033	Divide	( square root of z^9)/( square root of z^5)	$\frac{\sqrt{z^{9}}}{\sqrt{z^{5}}}$
32034	Divide	( square root of 10- square root of 7)/( square root of 6- square root of 2)	$\frac{\sqrt{10} - \sqrt{7}}{\sqrt{6} - \sqrt{2}}$
32035	Divide	( square root of 11- square root of 2)/( square root of 11+ square root of 2)	$\frac{\sqrt{11} - \sqrt{2}}{\sqrt{11} + \sqrt{2}}$
32036	Divide	( square root of 12xy^3)/( square root of 6x)	$\frac{\sqrt{12 x y^{3}}}{\sqrt{6 x}}$
32037	Divide	( square root of -12)/( square root of 3)	$\frac{\sqrt{- 12}}{\sqrt{3}}$
32038	Divide	( square root of 12)/( square root of 7)	$\frac{\sqrt{12}}{\sqrt{7}}$
32039	Divide	( square root of -125)/( square root of 5)	$\frac{\sqrt{- 125}}{\sqrt{5}}$
32040	Divide	( square root of 125+ square root of 80)/( square root of 180- square root of 45)	$\frac{\sqrt{125 + \sqrt{80}}}{\sqrt{180 - \sqrt{45}}}$
32041	Divide	( square root of 126)/( square root of 35)	$\frac{\sqrt{126}}{\sqrt{35}}$
32042	Divide	( square root of 128d)/(2 square root of 2)	$\frac{\sqrt{128 d}}{2 \sqrt{2}}$
32043	Divide	( square root of 15)/( square root of 16)	$\frac{\sqrt{15}}{\sqrt{16}}$
32044	Divide	( square root of 150)/( square root of 14)	$\frac{\sqrt{150}}{\sqrt{14}}$
32045	Divide	( square root of 17)/( seventh root of 17)	$\frac{\sqrt{17}}{\sqrt[7]{17}}$
32046	Divide	( square root of 18y^3)/( square root of 2y)	$\frac{\sqrt{18 y^{3}}}{\sqrt{2 y}}$
32047	Divide	( square root of -18)/( square root of 2)	$\frac{\sqrt{- 18}}{\sqrt{2}}$
32048	Divide	( square root of 18)/( square root of 3)	$\frac{\sqrt{18}}{\sqrt{3}}$
32049	Divide	( square root of 2+ square root of 3)/( square root of 3)	$\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3}}$
32050	Divide	( square root of 225)/( square root of 3)	$\frac{\sqrt{225}}{\sqrt{3}}$
32051	Divide	( square root of 25)/( square root of 5)	$\frac{\sqrt{25}}{\sqrt{5}}$
32052	Divide	( square root of 250x^16)/( square root of 2x)	$\frac{\sqrt{250 x^{16}}}{\sqrt{2 x}}$
32053	Divide	( square root of 3)/( square root of 48)	$\frac{\sqrt{3}}{\sqrt{48}}$
32054	Divide	( square root of 3)/( square root of 75)	$\frac{\sqrt{3}}{\sqrt{75}}$
32055	Divide	( square root of 35)/( square root of 7)	$\frac{\sqrt{35}}{\sqrt{7}}$
32056	Divide	( square root of 39 square root of 39)/( square root of 13 square root of 98)	$\frac{\sqrt{39} \sqrt{39}}{\sqrt{13} \sqrt{98}}$
32057	Divide	( square root of 4a^2-4b^2)/( square root of 8a-8b)	$\frac{\sqrt{4 a^{2} - 4 b^{2}}}{\sqrt{8 a - 8 b}}$
32058	Divide	( square root of 40x^5)/( square root of 5x^-7)	$\frac{\sqrt{40 x^{5}}}{\sqrt{5 x^{- 7}}}$
32059	Divide	( square root of -40)/( square root of -5)	$\frac{\sqrt{- 40}}{\sqrt{- 5}}$
32060	Divide	( square root of 42xy)/(3x^(2 square root of 2))	$\frac{\sqrt{42 x y}}{3 x^{2 \sqrt{2}}}$
32061	Divide	( square root of 45m^5)/( square root of 5)	$\frac{\sqrt{45 m^{5}}}{\sqrt{5}}$
32062	Divide	( square root of 48x^3y)/(3xy)	$\frac{\sqrt{48 x^{3} y}}{3 x y}$
32063	Divide	( square root of 48)/( square root of 3)	$\frac{\sqrt{48}}{\sqrt{3}}$
32064	Divide	( square root of 49xy^3)/( square root of 7x)	$\frac{\sqrt{49 x y^{3}}}{\sqrt{7 x}}$
32065	Divide	( square root of 4ac)/( cube root of a^2c)	$\frac{\sqrt{4 a c}}{\sqrt[3]{a^{2} c}}$
32066	Divide	( square root of 4x)/(y^4)	$\frac{\sqrt{4 x}}{y^{4}}$
32067	Divide	( square root of 5 square root of 7)/( square root of 7 square root of 7)	$\frac{\sqrt{5 \sqrt{7}}}{\sqrt{7 \sqrt{7}}}$
32068	Divide	( square root of 5)/( square root of 3+2)	$\frac{\sqrt{5}}{\sqrt{3} + 2}$
32069	Divide	( square root of 5)/(9- square root of 5)	$\frac{\sqrt{5}}{9 - \sqrt{5}}$
32070	Divide	( square root of 5+2 square root of 6)/(5-2 square root of 6)	$\frac{\sqrt{5 + 2 \sqrt{6}}}{5 - 2 \sqrt{6}}$
32071	Divide	( square root of 50)/( square root of 18)	$\frac{\sqrt{50}}{\sqrt{18}}$
32072	Divide	( square root of 50)/5	$\frac{\sqrt{50}}{5}$
32073	Divide	( square root of 56x^(3y^2))/( square root of 112x^2y^3)	$\frac{\sqrt{56 x^{3 y^{2}}}}{\sqrt{112 x^{2} y^{3}}}$
32074	Divide	( square root of 56)/( square root of 2)	$\frac{\sqrt{56}}{\sqrt{2}}$
32075	Divide	( square root of -56)/( square root of 7)	$\frac{\sqrt{- 56}}{\sqrt{7}}$
32076	Divide	( square root of -6 square root of -3)/( square root of 2)	$\frac{\sqrt{- 6} \sqrt{- 3}}{\sqrt{2}}$
32077	Divide	( square root of 6)/(3 square root of 6+2)	$\frac{\sqrt{6}}{3 \sqrt{6} + 2}$
32078	Divide	( square root of 66)/( square root of 6)	$\frac{\sqrt{66}}{\sqrt{6}}$
32079	Divide	( square root of 7x^5z)/6	$\frac{\sqrt{7 x^{5} z}}{6}$
32080	Divide	( square root of 7+ square root of 3)/( square root of 7- square root of 3)	$\frac{\sqrt{7} + \sqrt{3}}{\sqrt{7} - \sqrt{3}}$
32081	Divide	( square root of 72+2)/16	$\frac{\sqrt{72 + 2}}{16}$
32082	Divide	( square root of 75x^4)/( square root of square root of 3)	$\frac{\sqrt{75 x^{4}}}{\sqrt{\sqrt{3}}}$
32083	Divide	( square root of 75)/( square root of 300)	$\frac{\sqrt{75}}{\sqrt{300}}$
32084	Divide	( square root of 81)/4	$\frac{\sqrt{81}}{4}$
32085	Divide	( square root of 85)/( square root of 17)	$\frac{\sqrt{85}}{\sqrt{17}}$
32086	Divide	( square root of 9x^13)/( square root of 12x^5)	$\frac{\sqrt{9 x^{13}}}{\sqrt{12 x^{5}}}$
32087	Divide	( square root of -9)/( square root of -4 square root of -36)	$\frac{\sqrt{- 9}}{\sqrt{- 4} \sqrt{- 36}}$
32088	Divide	( square root of 96x^3)/(8x)	$\frac{\sqrt{96 x^{3}}}{8 x}$
32089	Divide	( square root of 99)/( square root of 22)	$\frac{\sqrt{99}}{\sqrt{22}}$
32090	Divide	( square root of x+4)/( square root of x-3)	$\frac{\sqrt{x + 4}}{\sqrt{x - 3}}$
32091	Divide	(v^2-4v-32)/(v^2+7v+10)	$\frac{v^{2} - 4 v - 32}{v^{2} + 7 v + 10}$
32092	Divide	(v^2-5v-14)/(v^2+4v+4)	$\frac{v^{2} - 5 v - 14}{v^{2} + 4 v + 4}$
32093	Divide	(v^2-8v-48)/(v+2)	$\frac{v^{2} - 8 v - 48}{v + 2}$
32094	Divide	((c+1)/(c-5))/((c-2)/(c^2-7c+10))	$\frac{\frac{c + 1}{c - 5}}{\frac{c - 2}{c^{2} - 7 c + 10}}$
32095	Divide	((d^2-1)/(d^2-d))÷((d+1)/(d-1))	$\frac{d^{2} - 1}{d^{2} - d} \div \frac{d + 1}{d - 1}$
32096	Divide	((f^2-9)/(-f^3+6f^2))÷((-9f-27)/(f^2-12f+36))	$\frac{f^{2} - 9}{- f^{3} + 6 f^{2}} \div \frac{- 9 f - 27}{f^{2} - 12 f + 36}$
32097	Divide	(k^3+k)/(k^2+k-42)	$\frac{k^{3} + k}{k^{2} + k - 42}$
32098	Divide	(k^4+7k^3*(8k^2)+14k+12)/(k^2+2)	$\frac{k^{4} + 7 k^{3} \cdot (8 k^{2}) + 14 k + 12}{k^{2} + 2}$
32099	Divide	(m^-1)/(m^-6)	$\frac{m^{- 1}}{m^{- 6}}$
32100	Divide	(m^2n^2-mn^4)/(mn)	$\frac{m^{2} n^{2} - m n^{4}}{m n}$