Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
110401	Find the x and y Intercepts	y=-4x^2+8x+3	$y = - 4 x^{2} + 8 x + 3$
110402	Simplify	8/( square root of 20)	$\frac{8}{\sqrt{20}}$
110403	Simplify	8/( cube root of 2x^2)	$\frac{8}{\sqrt[3]{2 x^{2}}}$
110404	Simplify	(8xy^2-14y^2)/(2y)	$\frac{8 x y^{2} - 14 y^{2}}{2 y}$
110405	Simplify	(6p-36)/18	$\frac{6 p - 36}{18}$
110406	Simplify	(6t-18)/(t^2-9)	$\frac{6 t - 18}{t^{2} - 9}$
110407	Convert to a Mixed Number	15.16	$15.16$
110408	Expand the Logarithmic Expression	natural log of 6/(7x^7y)	$\ln (\frac{6}{7 x^{7} y})$
110409	Simplify	(6x^2-9x^3+3)/3	$\frac{6 x^{2} - 9 x^{3} + 3}{3}$
110410	Simplify	(7-y)/(y-7)	$\frac{7 - y}{y - 7}$
110411	Simplify	7/( square root of 45x)	$\frac{7}{\sqrt{45 x}}$
110412	Simplify	7/( square root of 8x)	$\frac{7}{\sqrt{8 x}}$
110413	Simplify	7/( square root of 12)	$\frac{7}{\sqrt{12}}$
110414	Find the x and y Intercepts	f(x)=-3x^2+5x+4	$f (x) = - 3 x^{2} + 5 x + 4$
110415	Simplify	7/( square root of 27x)	$\frac{7}{\sqrt{27 x}}$
110416	Simplify	-7/(3 square root of 2-1)	$\frac{- 7}{3 \sqrt{2} - 1}$
110417	Simplify	(18x^4-9x^2+12x)/(3x^2)	$\frac{18 x^{4} - 9 x^{2} + 12 x}{3 x^{2}}$
110418	Simplify	(2(-x)^2-1)/((-x)^2)	$\frac{2 {(- x)}^{2} - 1}{{(- x)}^{2}}$
110419	Simplify	(1-x)/(x^3-x^2-x+1)	$\frac{1 - x}{x^{3} - x^{2} - x + 1}$
110420	Convert to a Decimal	7 1/4	$7 \frac{1}{4}$
110421	Simplify	(16x^4-8x^2+12x)/(4x^2)	$\frac{16 x^{4} - 8 x^{2} + 12 x}{4 x^{2}}$
110422	Convert to a Decimal	35/17	$\frac{35}{17}$
110423	Simplify	(16x^2-y^2)/((xy)/(4/y-1/x))	$\frac{16 x^{2} - y^{2}}{\frac{x y}{\frac{4}{y} - \frac{1}{x}}}$
110424	Simplify	121/( square root of 11x^2y)	$\frac{121}{\sqrt{11 x^{2} y}}$
110425	Simplify	(-12x^2+6x+90)/(6x^2-54)	$\frac{- 12 x^{2} + 6 x + 90}{6 x^{2} - 54}$
110426	Simplify	(12x^4-8x^3+7)/(-12x^4)	$\frac{12 x^{4} - 8 x^{3} + 7}{- 12 x^{4}}$
110427	Simplify	(12z^2-7z-12)/(3z^2+2z-8)	$\frac{12 z^{2} - 7 z - 12}{3 z^{2} + 2 z - 8}$
110428	Write as a Single Logarithm	3 natural log of 7	$3 \ln (7)$
110429	Simplify	12/( square root of 6)	$\frac{12}{\sqrt{6}}$
110430	Write as a Single Logarithm	natural log of x/(x-6)+ natural log of (x+6)/x- natural log of x^2-36	$\ln (\frac{x}{x - 6}) + \ln (\frac{x + 6}{x}) - \ln (x^{2} - 36)$
110431	Simplify	(11y)/( square root of 3)	$\frac{11 y}{\sqrt{3}}$
110432	Simplify	(12m^4-24m^3+6m^2+9m-9)/(6m^2)	$\frac{12 m^{4} - 24 m^{3} + 6 m^{2} + 9 m - 9}{6 m^{2}}$
110433	Simplify	(z^(-1/4)z^(5/4))/(z^(1/3))	$\frac{z^{- \frac{1}{4}} z^{\frac{5}{4}}}{z^{\frac{1}{3}}}$
110434	Simplify	(z^(1/3))/(z^(-3/2)z^(1/2))	$\frac{z^{\frac{1}{3}}}{z^{- \frac{3}{2}} z^{\frac{1}{2}}}$
110435	Simplify	(z^(-1/2)z^(5/2))/(z^(1/3))	$\frac{z^{- \frac{1}{2}} z^{\frac{5}{2}}}{z^{\frac{1}{3}}}$
110436	Simplify	(y^2-16)/(y+4)	$\frac{y^{2} - 16}{y + 4}$
110437	Find the Asymptotes	t(x)=(x^3)/(x^4-16)	$t (x) = \frac{x^{3}}{x^{4} - 16}$
110438	Simplify	(y^2+3y)/(y^2+6y+9)	$\frac{y^{2} + 3 y}{y^{2} + 6 y + 9}$
110439	Simplify	1/( square root of 6x)	$\frac{1}{\sqrt{6 x}}$
110440	Find the Domain	f(x) = square root of 5-5x	$f (x) = \sqrt{5 - 5 x}$
110441	Find the Domain	f(x) = square root of 24-3x	$f (x) = \sqrt{24 - 3 x}$
110442	Find the Domain	f(x) = square root of 3x-18	$f (x) = \sqrt{3 x - 18}$
110443	Find the Domain	f(x) = square root of 12-2x	$f (x) = \sqrt{12 - 2 x}$
110444	Simplify	3/(2- square root of 5)	$\frac{3}{2 - \sqrt{5}}$
110445	Simplify	3/(9- square root of 5)	$\frac{3}{9 - \sqrt{5}}$
110446	Find the Domain	f(x) = square root of 8-4x	$f (x) = \sqrt{8 - 4 x}$
110447	Simplify	3/(4+ square root of 2)	$\frac{3}{4 + \sqrt{2}}$
110448	Simplify	3/( square root of 11)	$\frac{3}{\sqrt{11}}$
110449	Simplify	3/( square root of 12)	$\frac{3}{\sqrt{12}}$
110450	Simplify	(3 square root of 6-5)/( square root of 6-2)	$\frac{3 \sqrt{6} - 5}{\sqrt{6} - 2}$
110451	Simplify	(3x^2-8x-3)/(6x^3+2x^2+3x+1)	$\frac{3 x^{2} - 8 x - 3}{6 x^{3} + 2 x^{2} + 3 x + 1}$
110452	Find the Roots (Zeros)	y=2x^2+9x-11	$y = 2 x^{2} + 9 x - 11$
110453	Simplify	(3x^2-27)/(18-6x)	$\frac{3 x^{2} - 27}{18 - 6 x}$
110454	Simplify	(3x^2-3x-6)/(x^2-4)	$\frac{3 x^{2} - 3 x - 6}{x^{2} - 4}$
110455	Simplify	(3x^2-19x-14)/(x^2-10x+21)	$\frac{3 x^{2} - 19 x - 14}{x^{2} - 10 x + 21}$
110456	Find the Inverse	h(x)=5/2x+4	$h (x) = \frac{5}{2} x + 4$
110457	Simplify	(27a^3-1)/(9a^2-6a+1)	$\frac{27 a^{3} - 1}{9 a^{2} - 6 a + 1}$
110458	Simplify	(2t-8)/(t^2-16)	$\frac{2 t - 8}{t^{2} - 16}$
110459	Simplify	(2x-2y-bx+by)/(2x-2y+bx-by)	$\frac{2 x - 2 y - b x + b y}{2 x - 2 y + b x - b y}$
110460	Convert to an Improper Fraction	1 5/6	$1 \frac{5}{6}$
110461	Simplify	(3r^2-39r+90)/(r^2-3r-70)	$\frac{3 r^{2} - 39 r + 90}{r^{2} - 3 r - 70}$
110462	Simplify	(3- square root of 2)/(6-3 square root of 2)	$\frac{3 - \sqrt{2}}{6 - 3 \sqrt{2}}$
110463	Find the Domain and Range	y=8^x-1	$y = 8^{x} - 1$
110464	Simplify	2/(3i)	$\frac{2}{3 i}$
110465	Simplify	2/(3- square root of 3x^2)	$\frac{2}{3 - \sqrt{3 x^{2}}}$
110466	Simplify	2/( square root of 63x)	$\frac{2}{\sqrt{63 x}}$
110467	Simplify	(25x^2+20x+4)/(4-25x^2)	$\frac{25 x^{2} + 20 x + 4}{4 - 25 x^{2}}$
110468	Find the Vertex	y=-x^2+8x+20	$y = - x^{2} + 8 x + 20$
110469	Simplify	25/( square root of 5y)	$\frac{25}{\sqrt{5 y}}$
110470	Simplify	(2x^2-5x-3)/(2x^2+9x+4)	$\frac{2 x^{2} - 5 x - 3}{2 x^{2} + 9 x + 4}$
110471	Simplify	(2 square root of 2)/2	$\frac{2 \sqrt{2}}{2}$
110472	Find the x and y Intercepts	10x+3=-10y+3	$10 x + 3 = - 10 y + 3$
110473	Find the x and y Intercepts	14x+15=-14y+15	$14 x + 15 = - 14 y + 15$
110474	Simplify	square root of 36z^2	$\sqrt{36 z^{2}}$
110475	Find the x and y Intercepts	(x^2)/100+(y^2)/25=1	$\frac{x^{2}}{100} + \frac{y^{2}}{25} = 1$
110476	Find the x and y Intercepts	x^2+y^2-4x-2y-20=0	$x^{2} + y^{2} - 4 x - 2 y - 20 = 0$
110477	Simplify	square root of 384x^2	$\sqrt{384 x^{2}}$
110478	Simplify	square root of 3x square root of 12y	$\sqrt{3 x} \sqrt{12 y}$
110479	Simplify	square root of 4a^2-4a+1	$\sqrt{4 a^{2} - 4 a + 1}$
110480	Simplify	square root of 32a^13	$\sqrt{32 a^{13}}$
110481	Simplify	square root of 32x^4y^8	$\sqrt{32 x^{4} y^{8}}$
110482	Simplify	square root of 3x^2 square root of 12x	$\sqrt{3 x^{2}} \sqrt{12 x}$
110483	Simplify	square root of 252x^2	$\sqrt{252 x^{2}}$
110484	Simplify	- square root of 256	$- \sqrt{256}$
110485	Simplify	square root of 27y^14	$\sqrt{27 y^{14}}$
110486	Find the x and y Intercepts	f(x)=3x^2+5x-12	$f (x) = 3 x^{2} + 5 x - 12$
110487	Simplify	square root of 28x^2y^3	$\sqrt{28 x^{2} y^{3}}$
110488	Simplify	square root of 288y	$\sqrt{288 y}$
110489	Simplify	square root of 294x^2	$\sqrt{294 x^{2}}$
110490	Simplify	square root of 2x-4	$\sqrt{2 x - 4}$
110491	Simplify	square root of 2x+8	$\sqrt{2 x + 8}$
110492	Convert to a Decimal	45/13	$\frac{45}{13}$
110493	Simplify	square root of 2a+4	$\sqrt{2 a + 4}$
110494	Simplify	square root of 20x^15y^7	$\sqrt{20 x^{15} y^{7}}$
110495	Simplify	square root of 20x^12	$\sqrt{20 x^{12}}$
110496	Factor by Grouping	ab+4a+5b+20	$a b + 4 a + 5 b + 20$
110497	Simplify	square root of 20w^8	$\sqrt{20 w^{8}}$
110498	Solve for x	10-x = square root of 3x+24	$10 - x = \sqrt{3 x + 24}$
110499	Simplify	square root of 20x^3y^2	$\sqrt{20 x^{3} y^{2}}$
110500	Simplify	square root of 2 square root of 14	$\sqrt{2} \sqrt{14}$