Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21101	Reduce	(2x)/(x^2-1)	$\frac{2 x}{x^{2} - 1}$
21102	Reduce	(3i)/(2i)	$\frac{3 i}{2 i}$
21103	Reduce	(4.102x(10^-7))/(1.0968x*10^7)	$\frac{4.102 x (10^{- 7})}{1.0968 x \cdot 10^{7}}$
21104	Reduce	(f(x)*1)/(2x)	$\frac{f (x) \cdot 1}{2 x}$
21105	Reduce	(m(0-1600))/(100-0)	$\frac{m (0 - 1600)}{100 - 0}$
21106	Cancel the Common Factors	(-2x-4xyz)/(2xy-4x^2)	$\frac{- 2 x - 4 x y z}{2 x y - 4 x^{2}}$
21107	Cancel the Common Factors	((2a)/(a+b)-b/(b-a)-(b^2)/(a^2-b^2))/(1/(a+b)+a/(a^2-b^2))	$\frac{\frac{2 a}{a + b} - \frac{b}{b - a} - \frac{b^{2}}{a^{2} - b^{2}}}{\frac{1}{a + b} + \frac{a}{a^{2} - b^{2}}}$
21108	Cancel the Common Factors	(-9+ square root of 21)/-6	$\frac{- 9 + \sqrt{21}}{- 6}$
21109	Cancel the Common Factors	((- square root of 3+2 square root of 2)^2-(-1- square root of 3)+4 square root of 6)/(1- square root of 3)	$\frac{{(- \sqrt{3} + 2 \sqrt{2})}^{2} - (- 1 - \sqrt{3}) + 4 \sqrt{6}}{1 - \sqrt{3}}$
21110	Cancel the Common Factors	(((7*v)/(3v^2+21v))/(v-8))/(3v)	$\frac{\frac{\frac{7 \cdot v}{3 v^{2} + 21 v}}{v - 8}}{3 v}$
21111	Cancel the Common Factors	((1-x)/(1+x))/((9x)/(x^2-1))	$\frac{\frac{1 - x}{1 + x}}{\frac{9 x}{x^{2} - 1}}$
21112	Cancel the Common Factors	(6^(3*w))/(6^2)	$\frac{6^{3 \cdot w}}{6^{2}}$
21113	Cancel the Common Factors	( square root of 2+ square root of 3)/4	$\frac{\sqrt{2} + \sqrt{3}}{4}$
21114	Cancel the Common Factors	( square root of x-2)/(x^(3-64))	$\frac{\sqrt{x - 2}}{x^{3 - 64}}$
21115	Cancel the Common Factors	(x^2+4x-8)/(x+3)	$\frac{x^{2} + 4 x - 8}{x + 3}$
21116	Find the Domain	x=1^0.1	$x = 1^{0.1}$
21117	Find the Domain	x=-2(x+2)(x-1)(x-4)	$x = - 2 (x + 2) (x - 1) (x - 4)$
21118	Find the Domain	x=900	$x = 900$
21119	Find the Domain	x=ac-ab	$x = a c - a b$
21120	Find the Domain	xy+4y-4x-16	$x y + 4 y - 4 x - 16$
21121	Find the Domain	xy=4	$x y = 4$
21122	Find the Domain	xy-yz	$x y - y z$
21123	Find the Domain	y+5/6y-1/6y	$y + \frac{5}{6} y - \frac{1}{6} y$
21124	Find the Domain	y=1/(-8x+1)	$y = \frac{1}{- 8 x + 1}$
21125	Find the Domain	y=(x+1)/(x^2+7x-12)	$y = \frac{x + 1}{x^{2} + 7 x - 12}$
21126	Find the Domain	y=(x-5)^2+1	$y = {(x - 5)}^{2} + 1$
21127	Find the Domain	y=( fourth root of 5-10x)/((x-3)(x+4))	$y = \frac{\sqrt[4]{5 - 10 x}}{(x - 3) (x + 4)}$
21128	Find the Domain	y=1/(3x-1)	$y = \frac{1}{3 x - 1}$
21129	Find the Domain	y=-2/(x+3)-1	$y = - \frac{2}{x + 3} - 1$
21130	Find the Domain	y=600/(x+20)	$y = \frac{600}{x + 20}$
21131	Find the Domain	y=8/(x-8)	$y = \frac{8}{x - 8}$
21132	Find the Domain	y=9/(x^2+7x+12)	$y = \frac{9}{x^{2} + 7 x + 12}$
21133	Find the Domain	y = log base 2 of x-9	$y = \log_{2} (x - 9)$
21134	Find the Domain	y = square root of t^2-2t-3	$y = \sqrt{t^{2} - 2 t} - 3$
21135	Find the Domain	y=- square root of 49-x^2	$y = - \sqrt{49 - x^{2}}$
21136	Reduce	(2 square root of 2+2 square root of 5)/( square root of 5+ square root of 2)	$\frac{2 \sqrt{2} + 2 \sqrt{5}}{\sqrt{5} + \sqrt{2}}$
21137	Reduce	(2 square root of 7)/( square root of 5)	$\frac{2 \sqrt{7}}{\sqrt{5}}$
21138	Reduce	(2x^2-7x-2)/((x-3)(x+2))	$\frac{2 x^{2} - 7 x - 2}{(x - 3) (x + 2)}$
21139	Reduce	(2y^5)/(4y^2)	$\frac{2 y^{5}}{4 y^{2}}$
21140	Reduce	2/( square root of 12)	$\frac{2}{\sqrt{12}}$
21141	Reduce	2/( cube root of 16)	$\frac{2}{\sqrt[3]{16}}$
21142	Reduce	2/(5- square root of 2)	$\frac{2}{5 - \sqrt{2}}$
21143	Reduce	(21x^4)/(2x-6)	$\frac{21 x^{4}}{2 x - 6}$
21144	Reduce	21/( square root of 32)	$\frac{21}{\sqrt{32}}$
21145	Reduce	(22a^2b^5c^7)/(-11abc^2)	$\frac{22 a^{2} b^{5} c^{7}}{- 11 a b c^{2}}$
21146	Reduce	(26x^3yz^5)/(2xy^3z^2)	$\frac{26 x^{3} y z^{5}}{2 x y^{3} z^{2}}$
21147	Reduce	26/((2x+4)^2)	$\frac{26}{{(2 x + 4)}^{2}}$
21148	Reduce	(27a^3b^-2c^-2)/(3a^2b^-4c^-2)	$\frac{27 a^{3} b^{- 2} c^{- 2}}{3 a^{2} b^{- 4} c^{- 2}}$
21149	Reduce	(-27x^5y^3z^2)/(9w^2x^3y^4)	$\frac{- 27 x^{5} y^{3} z^{2}}{9 w^{2} x^{3} y^{4}}$
21150	Reduce	(-28x^3+24x^4)/(8x^4)	$\frac{- 28 x^{3} + 24 x^{4}}{8 x^{4}}$
21151	Reduce	(28z^2+15z)/(4z)	$\frac{28 z^{2} + 15 z}{4 z}$
21152	Reduce	(2m)/(m-3)	$\frac{2 m}{m - 3}$
21153	Reduce	(2m+9n)/(30m)	$\frac{2 m + 9 n}{30 m}$
21154	Reduce	(2n)/(2n)	$\frac{2 n}{2 n}$
21155	Reduce	(3( square root of 7- square root of 5))/(( square root of 7+ square root of 5)( square root of 7- square root of 5))	$\frac{3 (\sqrt{7} - \sqrt{5})}{(\sqrt{7} + \sqrt{5}) (\sqrt{7} - \sqrt{5})}$
21156	Reduce	(3m^-4)/(m^3)	$\frac{3 m^{- 4}}{m^{3}}$
21157	Reduce	(3x^3-5x^2+35)/-2	$\frac{3 x^{3} - 5 x^{2} + 35}{- 2}$
21158	Reduce	3/( fourth root of 144)	$\frac{3}{\sqrt[4]{144}}$
21159	Reduce	3/(2- square root of 3)	$\frac{3}{2 - \sqrt{3}}$
21160	Reduce	3/(2x-1)	$\frac{3}{2 x - 1}$
21161	Reduce	-3/4*(x^2-4x+4)	$- \frac{3}{4} \cdot (x^{2} - 4 x + 4)$
21162	Reduce	3/(a+1/(7/b))	$\frac{3}{a + \frac{1}{\frac{7}{b}}}$
21163	Reduce	(34000+0.03x)/(34000+x)	$\frac{34000 + 0.03 x}{34000 + x}$
21164	Reduce	(36x^7y^-3)/(4x^2y^-3)	$\frac{36 x^{7} y^{- 3}}{4 x^{2} y^{- 3}}$
21165	Reduce	(3c+12cd-96d^2)/(3c^2-15cd+2d^2)	$\frac{3 c + 12 c d - 96 d^{2}}{3 c^{2} - 15 c d + 2 d^{2}}$
21166	Reduce	(3x+5y-2)/(4y+1)	$\frac{3 x + 5 y - 2}{4 y + 1}$
21167	Reduce	(4.34x10^-7)/(1.0968x10^7)	$\frac{4.34 x \cdot 10^{- 7}}{1.0968 x \cdot 10^{7}}$
21168	Reduce	(4(3x-4)^(1/7)-(x-4)(3x-4)^(-6/7))/((3x-4)^(6/7))	$\frac{4 {(3 x - 4)}^{\frac{1}{7}} - (x - 4) {(3 x - 4)}^{\frac{- 6}{7}}}{{(3 x - 4)}^{\frac{6}{7}}}$
21169	Reduce	(-4x^2+15)/(6x-5)	$\frac{- 4 x^{2} + 15}{6 x - 5}$
21170	Reduce	(4x^3-33x^2+76x-17)/4	$\frac{4 x^{3} - 33 x^{2} + 76 x - 17}{4}$
21171	Reduce	(4x^5y^2)/(-2x^3y^2)	$\frac{4 x^{5} y^{2}}{- 2 x^{3} y^{2}}$
21172	Reduce	(4x^6y^4)/(2x^3y^-1)	$\frac{4 x^{6} y^{4}}{2 x^{3} y^{- 1}}$
21173	Reduce	4/( square root of 10)	$\frac{4}{\sqrt{10}}$
21174	Reduce	4/(2 square root of 2)	$\frac{4}{2 \sqrt{2}}$
21175	Reduce	(-4+ square root of 16-41-91)/2	$\frac{- 4 + \sqrt{16 - 4 \cdot 1 \cdot - 91}}{2}$
21176	Reduce	400/(1+e^-1)	$\frac{400}{1 + e^{- 1}}$
21177	Reduce	(49b^4c^3)/(((11b)/(7bc^4))/(c^2))	$\frac{49 b^{4} c^{3}}{\frac{\frac{11 b}{7 b c^{4}}}{c^{2}}}$
21178	Reduce	(4x-3)/(x^2-9)	$\frac{4 x - 3}{x^{2} - 9}$
21179	Reduce	(5p^3q)/(30pq^2)	$\frac{5 p^{3} q}{30 p q^{2}}$
21180	Reduce	(5 square root of 3-3 square root of 2)/(3 square root of 2-2 square root of 3)	$\frac{5 \sqrt{3} - 3 \sqrt{2}}{3 \sqrt{2} - 2 \sqrt{3}}$
21181	Reduce	(-5w^2z^3)/(-16w^6z^6)	$\frac{- 5 w^{2} z^{3}}{- 16 w^{6} z^{6}}$
21182	Reduce	(5x^4(x+3)^2-2x^5(x+3))/((x+3)^4)	$\frac{5 x^{4} {(x + 3)}^{2} - 2 x^{5} (x + 3)}{{(x + 3)}^{4}}$
21183	Reduce	(5x^6)/(6x^5)	$\frac{5 x^{6}}{6 x^{5}}$
21184	Reduce	55/(x^2)	$\frac{55}{x^{2}}$
21185	Reduce	(5D)/(5+2D)	$\frac{5 D}{5 + 2 D}$
21186	Reduce	(5x+5(2x^2)+x-3)/(7x-7x^2(4x^2)-9)	$\frac{5 x + 5 \cdot (2 x^{2}) + x - 3}{7 x - 7 x^{2} \cdot (4 x^{2}) - 9}$
21187	Reduce	(6x^2)/(y^3)	$\frac{6 x^{2}}{y^{3}}$
21188	Reduce	(6x^2a+12x^2b-6x^2c)/(36x^2)	$\frac{6 x^{2} a + 12 x^{2} b - 6 x^{2} c}{36 x^{2}}$
21189	Reduce	6/( square root of 12)	$\frac{6}{\sqrt{12}}$
21190	Reduce	6/( square root of 14- square root of 11)	$\frac{6}{\sqrt{14} - \sqrt{11}}$
21191	Reduce	(6000a^0.006)/(0.009a^400)	$\frac{6000 a^{0.006}}{0.009 a^{400}}$
21192	Reduce	(6x-2)/(2x-3)	$\frac{6 x - 2}{2 x - 3}$
21193	Reduce	-7/( square root of 3-3)	$\frac{- 7}{\sqrt{3} - 3}$
21194	Reduce	7/(x^9)	$\frac{7}{x^{9}}$
21195	Reduce	7/(2-2 square root of 3)	$\frac{7}{2 - 2 \sqrt{3}}$
21196	Reduce	7/(4- square root of 2)	$\frac{7}{4 - \sqrt{2}}$
21197	Reduce	(725-700)/(85/( square root of 54))	$\frac{725 - 700}{\frac{85}{\sqrt{54}}}$
21198	Reduce	(7k)/(9k+14)	$\frac{7 k}{9 k + 14}$
21199	Reduce	(-7pi)/4	$\frac{- 7 π}{4}$
21200	Reduce	(7s)/(5t^-3)	$\frac{7 s}{5 t^{- 3}}$