Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
159901	Solve the System of Equations	y=x^2+3x-5 y=x+3	$y = x^{2} + 3 x - 5$ $y = x + 3$
159902	Solve for z	10^((2z)/3)=15	$10^{\frac{2 z}{3}} = 15$
159903	Solve for g	E=5gh	$E = 5 g h$
159904	Solve for t	-5*e^(10t)=-30	$- 5 \cdot e^{10 t} = - 30$
159905	Graph Using a Table of Values	y = log base 2 of x	$y = \log_{2} (x)$
159906	Evaluate	(x-4)^3	${(x - 4)}^{3}$
159907	Graph	f(x)=-2/3(x+1)(x-5)	$f (x) = - \frac{2}{3} (x + 1) (x - 5)$
159908	Simplify	( square root of 4)/( square root of 5)	$\frac{\sqrt{4}}{\sqrt{5}}$
159909	Solve for v	12=12+(v-8)/2	$12 = 12 + \frac{v - 8}{2}$
159910	Simplify	( square root of 25x^2y^2)/( square root of xy)	$\frac{\sqrt{25 x^{2} y^{2}}}{\sqrt{x y}}$
159911	Solve for b	n^3b-tb=5g	$n^{3} b - t b = 5 g$
159912	Solve for x	(x^3+10x^2+25x)/(x+5)=0	$\frac{x^{3} + 10 x^{2} + 25 x}{x + 5} = 0$
159913	Solve for B	V=Bh	$V = B h$
159914	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-25=0	$x^{2} - 25 = 0$
159915	Convert to Polar	y=x	$y = x$
159916	Solve the Inequality for x	x^2<=9	$x^{2} \leq 9$
159917	Simplify	(9x^3+6x^2)/(3x+2)	$\frac{9 x^{3} + 6 x^{2}}{3 x + 2}$
159918	Solve for r	p=4piIr^2	$p = 4 π I r^{2}$
159919	Simplify	(1+i)/(3+4i)	$\frac{1 + i}{3 + 4 i}$
159920	Solve for a	b^2=a/m-H	$b^{2} = \frac{a}{m} - H$
159921	Solve the Inequality for d	-2d-2<3d+8	$- 2 d - 2 < 3 d + 8$
159922	Simplify	(8y^2)/(2 fourth root of y)	$\frac{8 y^{2}}{2 \sqrt[4]{y}}$
159923	Solve for x	7^(x-1)+7=8	$7^{x - 1} + 7 = 8$
159924	Simplify	(10 cube root of z)/(2z^2)	$\frac{10 \sqrt[3]{z}}{2 z^{2}}$
159925	Solve for z	square root of 2z+3=-z	$\sqrt{2 z + 3} = - z$
159926	Simplify	(cos(-x))/(tan(-x))+sin(-x)	$\frac{\cos (- x)}{\tan (- x)} + \sin (- x)$
159927	Evaluate	e^( natural log of square root of 4)	$e^{\ln (\sqrt{4})}$
159928	Solve for B	F=-m+B/(q^3)	$F = - m + \frac{B}{q^{3}}$
159929	Write in Standard Form	3i(-5+i)	$3 i (- 5 + i)$
159930	Simplify	(x^2-9)/(x^2+5x+6)-(3x-14)/(4x+8)	$\frac{x^{2} - 9}{x^{2} + 5 x + 6} - \frac{3 x - 14}{4 x + 8}$
159931	Simplify	4x cube root of 4x^2(2 cube root of 32x^2-x cube root of 2x)	$4 x \sqrt[3]{4 x^{2}} (2 \sqrt[3]{32 x^{2}} - x \sqrt[3]{2 x})$
159932	Solve for x	(625/256)^(5x-4)=1	${(\frac{625}{256})}^{5 x - 4} = 1$
159933	Convert to a Decimal	4rad	$4$ radians
159934	Solve for x	4/3=(x+10)/15	$\frac{4}{3} = \frac{x + 10}{15}$
159935	Find the Function	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
159936	Find the Product	(x+3)(x^2-3x+9)	$(x + 3) (x^{2} - 3 x + 9)$
159937	Solve for b	6b+rb=D^3	$6 b + r b = D^{3}$
159938	Solve for h	50h=190-45h	$50 h = 190 - 45 h$
159939	Solve for n	-2m-5n=7m-3n	$- 2 m - 5 n = 7 m - 3 n$
159940	Solve for x	-qx+p=r	$- q x + p = r$
159941	Solve for x	(x^2+20)/(x(x-2))=(14-x)/(x-2)	$\frac{x^{2} + 20}{x (x - 2)} = \frac{14 - x}{x - 2}$
159942	Solve for x	1+1/(x+1)=-x/(x+1)	$1 + \frac{1}{x + 1} = - \frac{x}{x + 1}$
159943	Solve for a	d=a/6+g	$d = \frac{a}{6} + g$
159944	Solve for a	(5q^2)/R=B/a	$\frac{5 q^{2}}{R} = \frac{B}{a}$
159945	Multiply	(2x^2+3xy-y^2)(x+3)	$(2 x^{2} + 3 x y - y^{2}) (x + 3)$
159946	Solve the Inequality for t	-6>t-(-13)	$- 6 > t - (- 13)$
159947	Solve for x	2(2x-3)=6+x	$2 (2 x - 3) = 6 + x$
159948	Graph	g(x)=f(4x)	$g (x) = f (4 x)$
159949	Solve for x	15x-10=6x-(x+2)+(-x+3)	$15 x - 10 = 6 x - (x + 2) + (- x + 3)$
159950	Solve the Inequality for x	3/x+2/x>1-4/x	$\frac{3}{x} + \frac{2}{x} > 1 - \frac{4}{x}$
159951	Solve the System of Inequalities	-6x+14<-28 OR 9x+15<=-12	$- 6 x + 14 < - 28$ OR $9 x + 15 \leq - 12$
159952	Solve for n	(z^2)^n=z^10	${(z^{2})}^{n} = z^{10}$
159953	Solve for A	5gA+mA=B^3	$5 g A + m A = B^{3}$
159954	Solve for z	0=8z+8	$0 = 8 z + 8$
159955	Solve for x	-2/(x(x+2))=(x+3)/(x+2)	$- \frac{2}{x (x + 2)} = \frac{x + 3}{x + 2}$
159956	Divide	(2x)/2	$\frac{2 x}{2}$
159957	Simplify	1/x+(2x)/5	$\frac{1}{x} + \frac{2 x}{5}$
159958	Simplify	(c/(4c))^2	${(\frac{c}{4 c})}^{2}$
159959	Solve for d	Hd+4Md=g^3	$H d + 4 M d = g^{3}$
159960	Find the Holes in the Graph	f(x)=(x^2-2x-8)/(x-4)	$f (x) = \frac{x^{2} - 2 x - 8}{x - 4}$
159961	Solve for a	t^3=d(2+a)	$t^{3} = d (2 + a)$
159962	Simplify	1/2-1	$\frac{1}{2} - 1$
159963	Multiply	1/x*1/x	$\frac{1}{x} \cdot \frac{1}{x}$
159964	Simplify	4( fifth root of x^2y)+3( fifth root of x^2y)	$4 (\sqrt[5]{x^{2} y}) + 3 (\sqrt[5]{x^{2} y})$
159965	Find the x and y Intercepts	f(x)=((x-5)(x-12))/((x+3)(x-2)(x-5))	$f (x) = \frac{(x - 5) (x - 12)}{(x + 3) (x - 2) (x - 5)}$
159966	Solve the Inequality for x	x^2-x-6>=0	$x^{2} - x - 6 \geq 0$
159967	Solve for F	Q/R=g/F	$\frac{Q}{R} = \frac{g}{F}$
159968	Solve for x	kx+3x=4	$k x + 3 x = 4$
159969	Find the Exact Value	cos((3pi)/4)^2	$\cos^{2} (\frac{3 π}{4})$
159970	Find the Sum and Product of the Roots of the Quadratic Equation	3x^2-10x-8=0	$3 x^{2} - 10 x - 8 = 0$
159971	Expand the Logarithmic Expression	natural log of (4m^5)/p	$\ln (\frac{4 m^{5}}{p})$
159972	Solve for x	(x-3)/(x+1)=(4x-6)/((x+1)(x+2))	$\frac{x - 3}{x + 1} = \frac{4 x - 6}{(x + 1) (x + 2)}$
159973	Solve for A	mA+q^3A=g	$m A + q^{3} A = g$
159974	Simplify	1/( square root of x- square root of x-1)	$\frac{1}{\sqrt{x} - \sqrt{x - 1}}$
159975	Evaluate	1/5(6+3+1)^2	$\frac{1}{5} {(6 + 3 + 1)}^{2}$
159976	Evaluate	(4/3)^-8*(4/3)^2	${(\frac{4}{3})}^{- 8} \cdot {(\frac{4}{3})}^{2}$
159977	Solve for a	n/R=b/a	$\frac{n}{R} = \frac{b}{a}$
159978	Solve for k	5-k+12=16	$5 - k + 12 = 16$
159979	Solve for x	y=mx+b for x	$y = m x + b$ for $x$
159980	Solve for a	d=4/5a+h	$d = \frac{4}{5} a + h$
159981	Solve for x	1/4(x-2)+4=12	$\frac{1}{4} (x - 2) + 4 = 12$
159982	Solve for x	(-x+3)/(x-3)=(x+3)/2	$\frac{- x + 3}{x - 3} = \frac{x + 3}{2}$
159983	Solve for a	n=5(a-3h^2)	$n = 5 (a - 3 h^{2})$
159984	Solve the Inequality for b	-67b+6<=9b+43	$- 67 b + 6 \leq 9 b + 43$
159985	Solve for x	8x+9-12x=4x-13-5x	$8 x + 9 - 12 x = 4 x - 13 - 5 x$
159986	Solve for g	E=16gh	$E = 16 g h$
159987	Solve for x	(x^2+6x+9)/(x+3)=0	$\frac{x^{2} + 6 x + 9}{x + 3} = 0$
159988	Solve the Inequality for v	-9<=7-8v	$- 9 \leq 7 - 8 v$
159989	Solve the Inequality for x	-16x>-80	$- 16 x > - 80$
159990	Solve the Inequality for n	-20<=10n	$- 20 \leq 10 n$
159991	Solve for x	\|3x-8\|=x	$\| 3 x - 8 \| = x$
159992	Solve for x	x/(x-1)=-2/(x-3)	$\frac{x}{x - 1} = - \frac{2}{x - 3}$
159993	Solve for D	f=4GD-m^3D	$f = 4 G D - m^{3} D$
159994	Solve for q	7q+17q-14q-8q=14	$7 q + 17 q - 14 q - 8 q = 14$
159995	Graph	11q+5<=49	$11 q + 5 \leq 49$
159996	Solve the Rational Equation for x	8/(x+1)=4/3	$\frac{8}{x + 1} = \frac{4}{3}$
159997	Factor	(x+2)^2-25y^4	${(x + 2)}^{2} - 25 y^{4}$
159998	Solve for B	g=mB-2qB	$g = m B - 2 q B$
159999	Solve for w	g=1/6(w+40)	$g = \frac{1}{6} (w + 40)$
160000	Solve for z	2z+1=z	$2 z + 1 = z$