Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14001	Simplify	(x^2-4x-32)/(x^2-16)	$\frac{x^{2} - 4 x - 32}{x^{2} - 16}$
14002	Simplify	(4x-16)/(x^2-8x+16)	$\frac{4 x - 16}{x^{2} - 8 x + 16}$
14003	Simplify	4/(4/x)	$\frac{4}{\frac{4}{x}}$
14004	Simplify	(4x^3-2x^2-3)/(2x^2-1)	$\frac{4 x^{3} - 2 x^{2} - 3}{2 x^{2} - 1}$
14005	Simplify	(3x^(1/3)-x^(-2/3))/(3x^(-2/3))	$\frac{3 x^{\frac{1}{3}} - x^{- \frac{2}{3}}}{3 x^{- \frac{2}{3}}}$
14006	Simplify	3/(-4k^2-5 square root of k^4)	$\frac{3}{- 4 k^{2} - 5 \sqrt{k^{4}}}$
14007	Simplify	(3x^3-8ix^2+2x+(1-3i))/(x-2i)	$\frac{3 x^{3} - 8 i x^{2} + 2 x + (1 - 3 i)}{x - 2 i}$
14008	Simplify	3/( square root of x-5)	$\frac{3}{\sqrt{x} - 5}$
14009	Simplify	(2pi)/11	$\frac{2 π}{11}$
14010	Simplify	(3x^2-3x-1)/(x^2-x-2)	$\frac{3 x^{2} - 3 x - 1}{x^{2} - x - 2}$
14011	Simplify	(32-8y^2)/(y-2)	$\frac{32 - 8 y^{2}}{y - 2}$
14012	Simplify	-(3-x)/(2-x)	$- \frac{3 - x}{2 - x}$
14013	Simplify	(3x-18)/(x^2-12x+36)	$\frac{3 x - 18}{x^{2} - 12 x + 36}$
14014	Simplify	(3x^2-2x-5)/(4x^2-x-5)	$\frac{3 x^{2} - 2 x - 5}{4 x^{2} - x - 5}$
14015	Simplify	(6a^-2+9a^2)/(3a^-2)	$\frac{6 a^{- 2} + 9 a^{2}}{3 a^{- 2}}$
14016	Simplify	(6a^2-45ab-81b^2)/(6ab^2+9b^3)	$\frac{6 a^{2} - 45 a b - 81 b^{2}}{6 a b^{2} + 9 b^{3}}$
14017	Simplify	(6 cube root of 4v^7)/( cube root of 14v)	$\frac{6 \sqrt[3]{4 v^{7}}}{\sqrt[3]{14 v}}$
14018	Simplify	(6(x-y))/( square root of x- square root of y)	$\frac{6 (x - y)}{\sqrt{x} - \sqrt{y}}$
14019	Simplify	(6x-18)/3	$\frac{6 x - 18}{3}$
14020	Simplify	7/(7/(x-9)-9)	$\frac{7}{\frac{7}{x - 9} - 9}$
14021	Simplify	(7x-14)/(x^2-2x)	$\frac{7 x - 14}{x^{2} - 2 x}$
14022	Simplify	(5i)/(2-i)	$\frac{5 i}{2 - i}$
14023	Simplify	(5d+de)/(9d)	$\frac{5 d + d e}{9 d}$
14024	Simplify	(5+ square root of 3)/(4+ square root of 3)	$\frac{5 + \sqrt{3}}{4 + \sqrt{3}}$
14025	Simplify	5/((1/x)+4)	$\frac{5}{(\frac{1}{x}) + 4}$
14026	Simplify	5/(3x-1)=2/(x+4)	$\frac{5}{3 x - 1} = \frac{2}{x + 4}$
14027	Simplify	5/(5/(x-7)-7)	$\frac{5}{\frac{5}{x - 7} - 7}$
14028	Simplify	(5 square root of 2+ square root of 6)/(10 square root of 2- square root of 6)	$\frac{5 \sqrt{2} + \sqrt{6}}{10 \sqrt{2} - \sqrt{6}}$
14029	Simplify	(5(-x)+7)/(9(-x)-7)	$\frac{5 (- x) + 7}{9 (- x) - 7}$
14030	Simplify	(5x^2-5)/(x^2-4x-5)	$\frac{5 x^{2} - 5}{x^{2} - 4 x - 5}$
14031	Simplify	13/(1-i)	$\frac{13}{1 - i}$
14032	Simplify	(1+4/(c-1))/(1-4/(c-1))	$\frac{1 + \frac{4}{c - 1}}{1 - \frac{4}{c - 1}}$
14033	Simplify	(10i)/(1-2i)	$\frac{10 i}{1 - 2 i}$
14034	Simplify	(11pi)/15	$\frac{11 π}{15}$
14035	Simplify	1/(x^2-9)	$\frac{1}{x^{2} - 9}$
14036	Simplify	1/( cube root of a- cube root of b)	$\frac{1}{\sqrt[3]{a} - \sqrt[3]{b}}$
14037	Simplify	1/( fourth root of x^2-5x)	$\frac{1}{\sqrt[4]{x^{2} - 5 x}}$
14038	Simplify	1/(6(-1/6x))	$\frac{1}{6 (- \frac{1}{6} x)}$
14039	Simplify	1/(tan(- square root of 3))	$\frac{1}{\tan (- \sqrt{3})}$
14040	Simplify	1/( square root of 1/(x-1))	$\frac{1}{\sqrt{\frac{1}{x - 1}}}$
14041	Simplify	1/(1/3+2/x)	$\frac{1}{\frac{1}{3} + \frac{2}{x}}$
14042	Simplify	1/(k^2+1)	$\frac{1}{k^{2} + 1}$
14043	Simplify	1/(1-1/x)	$\frac{1}{1 - \frac{1}{x}}$
14044	Simplify	(3x^2(2x+5)^(1/2)-x^31/2(2x+5)^(-1/2)*2)/(((2x+5)^(1/2))^2)	$\frac{3 x^{2} {(2 x + 5)}^{\frac{1}{2}} - x^{3} \frac{1}{2} {(2 x + 5)}^{- \frac{1}{2}} \cdot 2}{{({(2 x + 5)}^{\frac{1}{2}})}^{2}}$
14045	Simplify	(24x^2)/(12x^2-6x)	$\frac{24 x^{2}}{12 x^{2} - 6 x}$
14046	Simplify	(2pi)/(1/3)	$\frac{2 π}{\frac{1}{3}}$
14047	Simplify	-(2pi)/15	$- \frac{2 π}{15}$
14048	Simplify	(2t-6)/(t^2-9)	$\frac{2 t - 6}{t^{2} - 9}$
14049	Simplify	(2x)/(x^2-4)	$\frac{2 x}{x^{2} - 4}$
14050	Simplify	(2-x+2x^2-x^3)/(x^2-4)	$\frac{2 - x + 2 x^{2} - x^{3}}{x^{2} - 4}$
14051	Simplify	(12-3x^2)/(x^2+5x-14)	$\frac{12 - 3 x^{2}}{x^{2} + 5 x - 14}$
14052	Simplify	(2x^2-4x-70)/(4x-28)	$\frac{2 x^{2} - 4 x - 70}{4 x - 28}$
14053	Simplify	(2x^2-18)/(3x^2+3x-18)	$\frac{2 x^{2} - 18}{3 x^{2} + 3 x - 18}$
14054	Simplify	(2a^2-3a+1)/(2a^2+a-1)	$\frac{2 a^{2} - 3 a + 1}{2 a^{2} + a - 1}$
14055	Simplify	(2(-x)^2+3)/x	$\frac{2 {(- x)}^{2} + 3}{x}$
14056	Simplify	(2z^3+6z^2+18z)/(z^3-27)	$\frac{2 z^{3} + 6 z^{2} + 18 z}{z^{3} - 27}$
14057	Simplify	2/( square root of 1-cos(x)^2)	$\frac{2}{\sqrt{1 - \cos^{2} (x)}}$
14058	Simplify	2/((x^2)/(10/(x^5)))	$\frac{2}{\frac{x^{2}}{\frac{10}{x^{5}}}}$
14059	Simplify	2/( cube root of 3)	$\frac{2}{\sqrt[3]{3}}$
14060	Simplify	2/(2-15i)	$\frac{2}{2 - 15 i}$
14061	Simplify	(2+ square root of -25)/4	$\frac{2 + \sqrt{- 25}}{4}$
14062	Simplify	( square root of 5-2i)^5	${(\sqrt{5} - 2 i)}^{5}$
14063	Simplify	( square root of -75)^2	${(\sqrt{- 75})}^{2}$
14064	Simplify	( square root of a+ square root of b)^4	${(\sqrt{a} + \sqrt{b})}^{4}$
14065	Simplify	( square root of -2+2i)(6+5i)	$(\sqrt{- 2} + 2 i) (6 + 5 i)$
14066	Simplify	cube root of x^3y^12	$\sqrt[3]{x^{3} y^{12}}$
14067	Simplify	(x^2+6x-16)/(x^3-8)	$\frac{x^{2} + 6 x - 16}{x^{3} - 8}$
14068	Simplify	(-1+ square root of 3i)^12	${(- 1 + \sqrt{3} i)}^{12}$
14069	Simplify	(-1+ square root of 3i)^3	${(- 1 + \sqrt{3 i})}^{3}$
14070	Simplify	(1+ square root of 3i)^6	${(1 + \sqrt{3 i})}^{6}$
14071	Simplify	((x-3)/(3x-6))/((x^2-x-6)/(x^2-x-2))	$\frac{\frac{x - 3}{3 x - 6}}{\frac{x^{2} - x - 6}{x^{2} - x - 2}}$
14072	Simplify	a/( sixth root of b^2)	$\frac{a}{\sqrt[6]{b^{2}}}$
14073	Simplify	(x^3+4x^2-3x-12)/(x-3)	$\frac{x^{3} + 4 x^{2} - 3 x - 12}{x - 3}$
14074	Simplify	(7/( square root of 113)+3/( square root of 73))/(1+(7/( square root of 113))(3/( square root of 73)))	$\frac{\frac{7}{\sqrt{113}} + \frac{3}{\sqrt{73}}}{1 + (\frac{7}{\sqrt{113}}) (\frac{3}{\sqrt{73}})}$
14075	Simplify	((4-x^2)^(1/2)+x^2(4-x^2)^(-1/2))/(4-x^2)	$\frac{{(4 - x^{2})}^{\frac{1}{2}} + x^{2} {(4 - x^{2})}^{- \frac{1}{2}}}{4 - x^{2}}$
14076	Simplify	(( square root of 3)/2+1/2*i)^3	${(\frac{\sqrt{3}}{2} + \frac{1}{2} \cdot i)}^{3}$
14077	Simplify	(x- square root of 3)(x+ square root of 3)	$(x - \sqrt{3}) (x + \sqrt{3})$
14078	Simplify	((x-3)*1)/2	$\frac{(x - 3) \cdot 1}{2}$
14079	Simplify	(4x^2+x^4)( square root of x^2+4)	$(4 x^{2} + x^{4}) (\sqrt{x^{2} + 4})$
14080	Simplify	(1/3+( square root of 13)/6*i)^2	${(\frac{1}{3} + \frac{\sqrt{13}}{6} \cdot i)}^{2}$
14081	Simplify	( square root of 3-i)^5	${(\sqrt{3} - i)}^{5}$
14082	Simplify	( square root of 3-i)^8	${(\sqrt{3} - i)}^{8}$
14083	Simplify	( square root of 3(cos((7pi)/6)+isin((7pi)/6)))^4	${(\sqrt{3} (\cos (\frac{7 π}{6}) + i \sin (\frac{7 π}{6})))}^{4}$
14084	Simplify	(1/( square root of x))^2	${(\frac{1}{\sqrt{x}})}^{2}$
14085	Simplify	(8/y-y/8)/(y+8)	$\frac{\frac{8}{y} - \frac{y}{8}}{y + 8}$
14086	Simplify	(t^2-t-12)/(2t^2-18)	$\frac{t^{2} - t - 12}{2 t^{2} - 18}$
14087	Simplify	(1/6+( square root of 13)/6*i)^2	${(\frac{1}{6} + \frac{\sqrt{13}}{6} \cdot i)}^{2}$
14088	Simplify	(1/8+( square root of 17)/8*i)^2	${(\frac{1}{8} + \frac{\sqrt{17}}{8} \cdot i)}^{2}$
14089	Simplify	(6x^3+10x^2+x+8)/(2x^2+1)	$\frac{6 x^{3} + 10 x^{2} + x + 8}{2 x^{2} + 1}$
14090	Simplify	(-32a^10)^(3/5)	${(- 32 a^{10})}^{\frac{3}{5}}$
14091	Simplify	(4x^2-7x)/(x^2-2x-35)	$\frac{4 x^{2} - 7 x}{x^{2} - 2 x - 35}$
14092	Simplify	(-4+4i square root of 3)^2	${(- 4 + 4 i \sqrt{3})}^{2}$
14093	Simplify	((4x-3)+4)/3	$\frac{(4 x - 3) + 4}{3}$
14094	Simplify	(3t-2)/(3t)	$\frac{3 t - 2}{3 t}$
14095	Simplify	(1-i square root of 3)^10	${(1 - i \sqrt{3})}^{10}$
14096	Simplify	(1+x^-1)/(1-x^-2)	$\frac{1 + x^{- 1}}{1 - x^{- 2}}$
14097	Simplify	(20x)/(35x+65)	$\frac{20 x}{35 x + 65}$
14098	Simplify	(2x-1)/(3x^2+11x-4)	$\frac{2 x - 1}{3 x^{2} + 11 x - 4}$
14099	Simplify	(3t^3+7t^2-10t-4)/(3t+1)	$\frac{3 t^{3} + 7 t^{2} - 10 t - 4}{3 t + 1}$
14100	Simplify	(2p)/(1/4)	$\frac{2 p}{\frac{1}{4}}$