Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
110401	Simplify	7/( square root of 27x)	$\frac{7}{\sqrt{27 x}}$
110402	Simplify	-7/(3 square root of 2-1)	$\frac{- 7}{3 \sqrt{2} - 1}$
110403	Simplify	(18x^4-9x^2+12x)/(3x^2)	$\frac{18 x^{4} - 9 x^{2} + 12 x}{3 x^{2}}$
110404	Simplify	(2(-x)^2-1)/((-x)^2)	$\frac{2 {(- x)}^{2} - 1}{{(- x)}^{2}}$
110405	Simplify	(1-x)/(x^3-x^2-x+1)	$\frac{1 - x}{x^{3} - x^{2} - x + 1}$
110406	Convert to a Decimal	7 1/4	$7 \frac{1}{4}$
110407	Simplify	(16x^4-8x^2+12x)/(4x^2)	$\frac{16 x^{4} - 8 x^{2} + 12 x}{4 x^{2}}$
110408	Convert to a Decimal	35/17	$\frac{35}{17}$
110409	Simplify	(16x^2-y^2)/((xy)/(4/y-1/x))	$\frac{16 x^{2} - y^{2}}{\frac{x y}{\frac{4}{y} - \frac{1}{x}}}$
110410	Simplify	121/( square root of 11x^2y)	$\frac{121}{\sqrt{11 x^{2} y}}$
110411	Simplify	(-12x^2+6x+90)/(6x^2-54)	$\frac{- 12 x^{2} + 6 x + 90}{6 x^{2} - 54}$
110412	Simplify	(12x^4-8x^3+7)/(-12x^4)	$\frac{12 x^{4} - 8 x^{3} + 7}{- 12 x^{4}}$
110413	Simplify	(12z^2-7z-12)/(3z^2+2z-8)	$\frac{12 z^{2} - 7 z - 12}{3 z^{2} + 2 z - 8}$
110414	Write as a Single Logarithm	3 natural log of 7	$3 \ln (7)$
110415	Simplify	12/( square root of 6)	$\frac{12}{\sqrt{6}}$
110416	Write as a Single Logarithm	natural log of x/(x-6)+ natural log of (x+6)/x- natural log of x^2-36	$\ln (\frac{x}{x - 6}) + \ln (\frac{x + 6}{x}) - \ln (x^{2} - 36)$
110417	Simplify	(11y)/( square root of 3)	$\frac{11 y}{\sqrt{3}}$
110418	Simplify	(12m^4-24m^3+6m^2+9m-9)/(6m^2)	$\frac{12 m^{4} - 24 m^{3} + 6 m^{2} + 9 m - 9}{6 m^{2}}$
110419	Simplify	(z^(-1/4)z^(5/4))/(z^(1/3))	$\frac{z^{- \frac{1}{4}} z^{\frac{5}{4}}}{z^{\frac{1}{3}}}$
110420	Simplify	(z^(1/3))/(z^(-3/2)z^(1/2))	$\frac{z^{\frac{1}{3}}}{z^{- \frac{3}{2}} z^{\frac{1}{2}}}$
110421	Simplify	(z^(-1/2)z^(5/2))/(z^(1/3))	$\frac{z^{- \frac{1}{2}} z^{\frac{5}{2}}}{z^{\frac{1}{3}}}$
110422	Simplify	(y^2-16)/(y+4)	$\frac{y^{2} - 16}{y + 4}$
110423	Find the Asymptotes	t(x)=(x^3)/(x^4-16)	$t (x) = \frac{x^{3}}{x^{4} - 16}$
110424	Simplify	(y^2+3y)/(y^2+6y+9)	$\frac{y^{2} + 3 y}{y^{2} + 6 y + 9}$
110425	Simplify	1/( square root of 6x)	$\frac{1}{\sqrt{6 x}}$
110426	Find the Domain	f(x) = square root of 5-5x	$f (x) = \sqrt{5 - 5 x}$
110427	Find the Domain	f(x) = square root of 24-3x	$f (x) = \sqrt{24 - 3 x}$
110428	Find the Domain	f(x) = square root of 3x-18	$f (x) = \sqrt{3 x - 18}$
110429	Find the Domain	f(x) = square root of 12-2x	$f (x) = \sqrt{12 - 2 x}$
110430	Simplify	3/(2- square root of 5)	$\frac{3}{2 - \sqrt{5}}$
110431	Simplify	3/(9- square root of 5)	$\frac{3}{9 - \sqrt{5}}$
110432	Find the Domain	f(x) = square root of 8-4x	$f (x) = \sqrt{8 - 4 x}$
110433	Simplify	3/(4+ square root of 2)	$\frac{3}{4 + \sqrt{2}}$
110434	Simplify	3/( square root of 11)	$\frac{3}{\sqrt{11}}$
110435	Simplify	3/( square root of 12)	$\frac{3}{\sqrt{12}}$
110436	Simplify	(3 square root of 6-5)/( square root of 6-2)	$\frac{3 \sqrt{6} - 5}{\sqrt{6} - 2}$
110437	Simplify	(3x^2-8x-3)/(6x^3+2x^2+3x+1)	$\frac{3 x^{2} - 8 x - 3}{6 x^{3} + 2 x^{2} + 3 x + 1}$
110438	Find the Roots (Zeros)	y=2x^2+9x-11	$y = 2 x^{2} + 9 x - 11$
110439	Simplify	(3x^2-27)/(18-6x)	$\frac{3 x^{2} - 27}{18 - 6 x}$
110440	Simplify	(3x^2-3x-6)/(x^2-4)	$\frac{3 x^{2} - 3 x - 6}{x^{2} - 4}$
110441	Simplify	(3x^2-19x-14)/(x^2-10x+21)	$\frac{3 x^{2} - 19 x - 14}{x^{2} - 10 x + 21}$
110442	Find the Inverse	h(x)=5/2x+4	$h (x) = \frac{5}{2} x + 4$
110443	Simplify	(27a^3-1)/(9a^2-6a+1)	$\frac{27 a^{3} - 1}{9 a^{2} - 6 a + 1}$
110444	Simplify	(2t-8)/(t^2-16)	$\frac{2 t - 8}{t^{2} - 16}$
110445	Simplify	(2x-2y-bx+by)/(2x-2y+bx-by)	$\frac{2 x - 2 y - b x + b y}{2 x - 2 y + b x - b y}$
110446	Convert to an Improper Fraction	1 5/6	$1 \frac{5}{6}$
110447	Simplify	(3r^2-39r+90)/(r^2-3r-70)	$\frac{3 r^{2} - 39 r + 90}{r^{2} - 3 r - 70}$
110448	Simplify	(3- square root of 2)/(6-3 square root of 2)	$\frac{3 - \sqrt{2}}{6 - 3 \sqrt{2}}$
110449	Find the Domain and Range	y=8^x-1	$y = 8^{x} - 1$
110450	Simplify	2/(3i)	$\frac{2}{3 i}$
110451	Simplify	2/(3- square root of 3x^2)	$\frac{2}{3 - \sqrt{3 x^{2}}}$
110452	Simplify	2/( square root of 63x)	$\frac{2}{\sqrt{63 x}}$
110453	Simplify	(25x^2+20x+4)/(4-25x^2)	$\frac{25 x^{2} + 20 x + 4}{4 - 25 x^{2}}$
110454	Find the Vertex	y=-x^2+8x+20	$y = - x^{2} + 8 x + 20$
110455	Simplify	25/( square root of 5y)	$\frac{25}{\sqrt{5 y}}$
110456	Simplify	(2x^2-5x-3)/(2x^2+9x+4)	$\frac{2 x^{2} - 5 x - 3}{2 x^{2} + 9 x + 4}$
110457	Simplify	(2 square root of 2)/2	$\frac{2 \sqrt{2}}{2}$
110458	Find the x and y Intercepts	10x+3=-10y+3	$10 x + 3 = - 10 y + 3$
110459	Find the x and y Intercepts	14x+15=-14y+15	$14 x + 15 = - 14 y + 15$
110460	Simplify	square root of 36z^2	$\sqrt{36 z^{2}}$
110461	Find the x and y Intercepts	(x^2)/100+(y^2)/25=1	$\frac{x^{2}}{100} + \frac{y^{2}}{25} = 1$
110462	Find the x and y Intercepts	x^2+y^2-4x-2y-20=0	$x^{2} + y^{2} - 4 x - 2 y - 20 = 0$
110463	Simplify	square root of 384x^2	$\sqrt{384 x^{2}}$
110464	Simplify	square root of 3x square root of 12y	$\sqrt{3 x} \sqrt{12 y}$
110465	Simplify	square root of 4a^2-4a+1	$\sqrt{4 a^{2} - 4 a + 1}$
110466	Simplify	square root of 32a^13	$\sqrt{32 a^{13}}$
110467	Simplify	square root of 32x^4y^8	$\sqrt{32 x^{4} y^{8}}$
110468	Simplify	square root of 3x^2 square root of 12x	$\sqrt{3 x^{2}} \sqrt{12 x}$
110469	Simplify	square root of 252x^2	$\sqrt{252 x^{2}}$
110470	Simplify	- square root of 256	$- \sqrt{256}$
110471	Simplify	square root of 27y^14	$\sqrt{27 y^{14}}$
110472	Find the x and y Intercepts	f(x)=3x^2+5x-12	$f (x) = 3 x^{2} + 5 x - 12$
110473	Simplify	square root of 28x^2y^3	$\sqrt{28 x^{2} y^{3}}$
110474	Simplify	square root of 288y	$\sqrt{288 y}$
110475	Simplify	square root of 294x^2	$\sqrt{294 x^{2}}$
110476	Simplify	square root of 2x-4	$\sqrt{2 x - 4}$
110477	Simplify	square root of 2x+8	$\sqrt{2 x + 8}$
110478	Convert to a Decimal	45/13	$\frac{45}{13}$
110479	Simplify	square root of 2a+4	$\sqrt{2 a + 4}$
110480	Simplify	square root of 20x^15y^7	$\sqrt{20 x^{15} y^{7}}$
110481	Simplify	square root of 20x^12	$\sqrt{20 x^{12}}$
110482	Factor by Grouping	ab+4a+5b+20	$a b + 4 a + 5 b + 20$
110483	Simplify	square root of 20w^8	$\sqrt{20 w^{8}}$
110484	Solve for x	10-x = square root of 3x+24	$10 - x = \sqrt{3 x + 24}$
110485	Simplify	square root of 20x^3y^2	$\sqrt{20 x^{3} y^{2}}$
110486	Simplify	square root of 2 square root of 14	$\sqrt{2} \sqrt{14}$
110487	Simplify	square root of 20h^6k^4	$\sqrt{20 h^{6} k^{4}}$
110488	Convert to a Percentage	24/35	$\frac{24}{35}$
110489	Simplify	square root of 25y^10	$\sqrt{25 y^{10}}$
110490	Convert to a Percentage	3/80	$\frac{3}{80}$
110491	Simplify	square root of 25x^4y^3	$\sqrt{25 x^{4} y^{3}}$
110492	Simplify	square root of 25x^2y^4	$\sqrt{25 x^{2} y^{4}}$
110493	Simplify	square root of 200x^2y	$\sqrt{200 x^{2} y}$
110494	Convert to an Improper Fraction	1 1/6	$1 \frac{1}{6}$
110495	Solve for x	square root of 35-2x=x	$\sqrt{35 - 2 x} = x$
110496	Simplify	square root of 21x	$\sqrt{21 x}$
110497	Simplify	square root of 193	$\sqrt{193}$
110498	Find the Domain	f(x) = square root of 4-4x	$f (x) = \sqrt{4 - 4 x}$
110499	Simplify	square root of 18x^5y^6	$\sqrt{18 x^{5} y^{6}}$
110500	Find the Domain	g(x)=( square root of x-5)/(x-8)	$g (x) = \frac{\sqrt{x - 5}}{x - 8}$