Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199601	Simplify	(2x+3y)/(9x)+(6x-11y)/(9x)-(19y-x)/(9x)	$\frac{2 x + 3 y}{9 x} + \frac{6 x - 11 y}{9 x} - \frac{19 y - x}{9 x}$
199602	Simplify	sin(theta)cos(theta)csc(theta)	$\sin (θ) \cdot \cos (θ) \cdot \csc (θ)$
199603	Simplify	((x^2y^6)/(x^-1y^3))^(1/3)	${(\frac{x^{2} y^{6}}{x^{- 1} y^{3}})}^{\frac{1}{3}}$
199604	Solve for g	1/9g=-7/3	$\frac{1}{9} g = - \frac{7}{3}$
199605	Solve the Inequality for x	(5x-1)/5+(x+1)/2<=x	$\frac{5 x - 1}{5} + \frac{x + 1}{2} \leq x$
199606	Solve for m	m-(7x^2+3.2xy-4.3y^2)=2x^2+0.5y^2	$m - (7 x^{2} + 3.2 x y - 4.3 y^{2}) = 2 x^{2} + 0.5 y^{2}$
199607	Solve for x	2(4^(2x+1))=128	$2 (4^{2 x + 1}) = 128$
199608	Solve for y	square root of 25y^2-10y+1=7	$\sqrt{25 y^{2} - 10 y + 1} = 7$
199609	Solve for x	6- square root of x-2=x+4	$6 - \sqrt{x - 2} = x + 4$
199610	Factor by Grouping	x^3y^2-x^2y^3-xy^2+y^3	$x^{3} y^{2} - x^{2} y^{3} - x y^{2} + y^{3}$
199611	Simplify	3(2t^2-4t-15)+6t(5t+2)	$3 (2 t^{2} - 4 t - 15) + 6 t (5 t + 2)$
199612	Factor	4x^(a+2)+20x^a	$4 x^{a + 2} + 20 x^{a}$
199613	Factor	x-y-xy+x^2	$x - y - x y + x^{2}$
199614	Graph	y> square root of x-4-2	$y > \sqrt{x - 4} - 2$
199615	Simplify the Radical Expression	square root of 5^2	$\sqrt{5^{2}}$
199616	Simplify	x(3x+y)	$x (3 x + y)$
199617	Simplify	square root of 5x^5* square root of 10a^2	$\sqrt{5 x^{5}} \cdot \sqrt{10 a^{2}}$
199618	Simplify	4x^3y^3*(3x^3-7xy^2+2xy-y)	$4 x^{3} y^{3} \cdot (3 x^{3} - 7 x y^{2} + 2 x y - y)$
199619	Simplify	(2 4/9-5 2/3)/2 1/3	$\frac{2 \frac{4}{9} - 5 \frac{2}{3}}{2 \frac{1}{3}}$
199620	Simplify	cube root of 216/512	$\sqrt[3]{\frac{216}{512}}$
199621	Simplify	(1/(4m))^-3	${(\frac{1}{4 m})}^{- 3}$
199622	Solve for y	48/y=6/(1/8)	$\frac{48}{y} = \frac{6}{\frac{1}{8}}$
199623	Simplify	5 fifth root of 2x^3y^4*3 fifth root of 16x^2y	$5 \sqrt[5]{2 x^{3} y^{4}} \cdot 3 \sqrt[5]{16 x^{2} y}$
199624	Solve the System of Equations	-y-10=6x 5x+y=-10	$- y - 10 = 6 x$ $5 x + y = - 10$
199625	Solve for x	4(3^(-2x-4))=36	$4 (3^{- 2 x - 4}) = 36$
199626	Evaluate	((2x^-2y^3)/(3xy^-4))^4	${(\frac{2 x^{- 2} y^{3}}{3 x y^{- 4}})}^{4}$
199627	Solve for D	n=5(m^2+D)	$n = 5 (m^{2} + D)$
199628	Evaluate	(3.5*2/7-2/3)÷16	$(3.5 \cdot \frac{2}{7} - \frac{2}{3}) \div 16$
199629	Evaluate	((-t)/3)^2	${(\frac{- t}{3})}^{2}$
199630	Find the Product	(x^2-3x+9)(x+3)	$(x^{2} - 3 x + 9) (x + 3)$
199631	Simplify	square root of (5m)/(7n^2)	$\sqrt{\frac{5 m}{7 n^{2}}}$
199632	Simplify	(1/2c^3d)^5	${(\frac{1}{2} c^{3} d)}^{5}$
199633	Solve for x	-2 cube root of x+4<12	$- 2 \sqrt[3]{x + 4} < 12$
199634	Simplify	(-16ab^4)/(4b^3)	$\frac{- 16 a b^{4}}{4 b^{3}}$
199635	Divide	(8x^3+5x^2+3x-1)÷2x	$(8 x^{3} + 5 x^{2} + 3 x - 1) \div 2 x$
199636	Simplify	(2 1/3x^(2m-1/2))^2*(3/7x^(1/2))^2	${(2 \frac{1}{3} x^{2 m - \frac{1}{2}})}^{2} \cdot {(\frac{3}{7} x^{\frac{1}{2}})}^{2}$
199637	Simplify	square root of 5a square root of 3b	$\sqrt{5 a} \sqrt{3 b}$
199638	Simplify	( square root of 10)/( square root of 180- square root of 20)	$\frac{\sqrt{10}}{\sqrt{180} - \sqrt{20}}$
199639	Simplify	(2t(t+1))/(t-1)-(3+t)/(t-1)	$\frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
199640	Simplify	(2x^3+4x^2+2x)/(6x^3-6x)	$\frac{2 x^{3} + 4 x^{2} + 2 x}{6 x^{3} - 6 x}$
199641	Solve for d	1/4d=2 1/8	$\frac{1}{4} d = 2 \frac{1}{8}$
199642	Simplify	9p^7q^9+10p^4q^8*(-2p^3q)	$9 p^{7} q^{9} + 10 p^{4} q^{8} \cdot (- 2 p^{3} q)$
199643	Simplify	(6a^5b^7)/(-2a^3b^7)	$\frac{6 a^{5} b^{7}}{- 2 a^{3} b^{7}}$
199644	Graph	y>=-3 square root of x-1+2	$y \geq - 3 \sqrt{x - 1} + 2$
199645	Solve for M	M-(4ab-3b^2)=a^2-7ab+8b^2	$M - (4 a b - 3 b^{2}) = a^{2} - 7 a b + 8 b^{2}$
199646	Evaluate	9(3^-2)-(3^4)/(3^2)- square root of 2^6	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}}$
199647	Solve the Inequality for y	2.25y^2-3y+1<0	$2.25 y^{2} - 3 y + 1 < 0$
199648	Factor	5ac-5bc-a+b	$5 a c - 5 b c - a + b$
199649	Solve for x	4(3-5x)=15-(8x-25)	$4 (3 - 5 x) = 15 - (8 x - 25)$
199650	Solve for y	27y^3-27y^2+9y-1=0	$27 y^{3} - 27 y^{2} + 9 y - 1 = 0$
199651	Multiply	(2a)(3x^2+2xy-4y^3)	$(2 a) (3 x^{2} + 2 x y - 4 y^{3})$
199652	Rationalize the Denominator	4/(3 square root of 2x)	$\frac{4}{3 \sqrt{2 x}}$
199653	Solve for y	y^2-1/16=0	$y^{2} - \frac{1}{16} = 0$
199654	Solve for x	3x^3-x^2=x^2	$3 x^{3} - x^{2} = x^{2}$
199655	Simplify	(27-x^3)/((3-x)^2)	$\frac{27 - x^{3}}{{(3 - x)}^{2}}$
199656	Simplify	( square root of 72)/( square root of 36x^8y^2)	$\frac{\sqrt{72}}{\sqrt{36 x^{8} y^{2}}}$
199657	Simplify	(3+i square root of 3)/((i- square root of 3)^2)	$\frac{3 + i \sqrt{3}}{{(i - \sqrt{3})}^{2}}$
199658	Solve for x	8x^3+12x^2+6x+1=0	$8 x^{3} + 12 x^{2} + 6 x + 1 = 0$
199659	Simplify	square root of 49(x^3+4)^6	$\sqrt{49 {(x^{3} + 4)}^{6}}$
199660	Evaluate	14-(-11)-(-7-(-17))	$14 - (- 11) - (- 7 - (- 17))$
199661	Simplify	(4 square root of 3a^3)^2	${(4 \sqrt{3 a^{3}})}^{2}$
199662	Simplify	-2yz^2*(-5y^2z-4z)	$- 2 y z^{2} \cdot (- 5 y^{2} z - 4 z)$
199663	Solve for s	8-7s+7=9s-1	$8 - 7 s + 7 = 9 s - 1$
199664	Find the Exact Value	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
199665	Solve for x	8 square root of x+6-7=-79	$8 \sqrt{x + 6} - 7 = - 79$
199666	Solve the Inequality for y	(4-y)/5-5y>=0	$\frac{4 - y}{5} - 5 y \geq 0$
199667	Solve for r	f/(r^2)+a=n+k	$\frac{f}{r^{2}} + a = n + k$
199668	Simplify	2x+4y-6+x+2-2y+5	$2 x + 4 y - 6 + x + 2 - 2 y + 5$
199669	Simplify	-7m-m^2+4m^2-3m	$- 7 m - m^{2} + 4 m^{2} - 3 m$
199670	Simplify	(3b-2)(5-2b)+6b^2	$(3 b - 2) (5 - 2 b) + 6 b^{2}$
199671	Simplify	((x-y)^2)/(2xy+6y)*(4x+12)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{2 x y + 6 y} \cdot \frac{4 x + 12}{x^{2} - y^{2}}$
199672	Simplify	x-5+2x-7+8x+2	$x - 5 + 2 x - 7 + 8 x + 2$
199673	Simplify	(16a^3b^2c^5-24a^5bc^4+44a^7b^6c^6)/(4a^2bc^3)	$\frac{16 a^{3} b^{2} c^{5} - 24 a^{5} b c^{4} + 44 a^{7} b^{6} c^{6}}{4 a^{2} b c^{3}}$
199674	Solve for x	7/(x+1)=(2x-1)/36	$\frac{7}{x + 1} = \frac{2 x - 1}{36}$
199675	Simplify	((x^2-9)/(y^2-25))÷((2x^2-6x)/(3y^2-15y))+(3-1.5y)/(y+5)	$\frac{x^{2} - 9}{y^{2} - 25} \div \frac{2 x^{2} - 6 x}{3 y^{2} - 15 y} + \frac{3 - 1.5 y}{y + 5}$
199676	Simplify	7p+16-2d+6+5p-7+3d	$7 p + 16 - 2 d + 6 + 5 p - 7 + 3 d$
199677	Solve for x	4^x-14*2^x-32=0	$4^{x} - 14 \cdot 2^{x} - 32 = 0$
199678	Solve for x	12e^(2x)-5=17e^x	$12 e^{2 x} - 5 = 17 e^{x}$
199679	Simplify	(4x^2y+3xy-x^2)(-x^3y^2)	$(4 x^{2} y + 3 x y - x^{2}) (- x^{3} y^{2})$
199680	Solve for x	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3} + 15 = 10$
199681	Solve for x	square root of 2x-1-x+2=0	$\sqrt{2 x - 1} - x + 2 = 0$
199682	Multiply	square root of 24x* square root of 18y* square root of 15y	$\sqrt{24 x} \cdot \sqrt{18 y} \cdot \sqrt{15 y}$
199683	Convert to Rectangular	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
199684	Find the Roots (Zeros)	-3x^2e^(-2x)+3xe^(-2x)	$- 3 x^{2} e^{- 2 x} + 3 x e^{- 2 x}$
199685	Solve for x	square root of x- square root of x-5=-1	$\sqrt{x} - \sqrt{x - 5} = - 1$
199686	Evaluate	3 square root of 12+1/2 square root of 96- square root of 54	$3 \sqrt{12} + \frac{1}{2} \sqrt{96} - \sqrt{54}$
199687	Graph	y<=2 square root of x-2-3	$y \leq 2 \sqrt{x - 2} - 3$
199688	Simplify the Radical Expression	fourth root of 8* fourth root of 8	$\sqrt[4]{8} \cdot \sqrt[4]{8}$
199689	Find the Product	2(3a^2)^3	$2 {(3 a^{2})}^{3}$
199690	Simplify	square root of (28x^3y^2z)/(7xy^2)	$\sqrt{\frac{28 x^{3} y^{2} z}{7 x y^{2}}}$
199691	Simplify	(11y+13)/(3y-3)+(15y+17)/(4-4y)	$\frac{11 y + 13}{3 y - 3} + \frac{15 y + 17}{4 - 4 y}$
199692	Simplify	a fourth root of 6ab^4	$a \sqrt[4]{6 a b^{4}}$
199693	Solve for t	10^(2t)=9	$10^{2 t} = 9$
199694	Simplify	-9k+8k+4+2k+3	$- 9 k + 8 k + 4 + 2 k + 3$
199695	Simplify	( cube root of 135)/( cube root of 40)	$\frac{\sqrt[3]{135}}{\sqrt[3]{40}}$
199696	Solve for D	-15y^4=(D)(3y^2)	$- 15 y^{4} = (D) (3 y^{2})$
199697	Rationalize the Denominator	(4 square root of 2)/( square root of 20p)	$\frac{4 \sqrt{2}}{\sqrt{20 p}}$
199698	Solve for x	2x+7-5x+8=3(5+6x)-12x	$2 x + 7 - 5 x + 8 = 3 (5 + 6 x) - 12 x$
199699	Rationalize the Denominator	(3 square root of 3)/( square root of 6m)	$\frac{3 \sqrt{3}}{\sqrt{6 m}}$
199700	Simplify	cot(x)(1/(sec(x))+1/(csc(x)))	$\cot (x) (\frac{1}{\sec (x)} + \frac{1}{\csc (x)})$