Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46001	Solve by Factoring	x^2=5	$x^{2} = 5$
46002	Solve for x	(3cos(x)-6sin(x))^2-27sin(x)^2=9	${(3 \cos (x) - 6 \sin (x))}^{2} - 27 \sin^{2} (x) = 9$
46003	Rationalize the Denominator	(a^2b^2)/( square root of c)	$\frac{a^{2} b^{2}}{\sqrt{c}}$
46004	Graph	f(x)=(x^2-25)/(2x^2+13x+15)	$f (x) = \frac{x^{2} - 25}{2 x^{2} + 13 x + 15}$
46005	Find the Derivative - d/dx	e^x(1+x)	$e^{x} (1 + x)$
46006	Simplify	(-2xy^-3)^-2	${(- 2 x y^{- 3})}^{- 2}$
46007	Graph	tan(theta)>0 , cos(theta)<0	$\tan (θ) > 0$ , $\cos (θ) < 0$
46008	Simplify	((9x^3+81x^2+126x)/(x^2-4)*4/(6x^2+12x))÷((x^2+9x+14)/(x^2-4))	$\frac{9 x^{3} + 81 x^{2} + 126 x}{x^{2} - 4} \cdot \frac{4}{6 x^{2} + 12 x} \div \frac{x^{2} + 9 x + 14}{x^{2} - 4}$
46009	Multiply	(-3x^2+1)(2x^2+3x-4)	$(- 3 x^{2} + 1) (2 x^{2} + 3 x - 4)$
46010	Evaluate	(9443+45-9.9)8.110^6	$(9443 + 45 - 9.9) \times 8.1 \times 10^{6}$
46011	Solve for a	f(x)=(a+1)x+b-2	$f (x) = (a + 1) x + b - 2$
46012	Simplify	5/(4n)*10/(2n)	$\frac{5}{4 n} \cdot \frac{10}{2 n}$
46013	Simplify the Radical Expression	square root of cube root of 5	$\sqrt{\sqrt[3]{5}}$
46014	Evaluate	8+2(x-6)=-2+2x-2	$8 + 2 (x - 6) = - 2 + 2 x - 2$
46015	Factor	a^3-b^3-3ab(a-b)	$a^{3} - b^{3} - 3 a b (a - b)$
46016	Simplify	a+b-(a^2+b^2)/(a+b)	$a + b - \frac{(a^{2} + b^{2})}{a + b}$
46017	Solve for m	-2m-5m-8=3+(-7)+m	$- 2 m - 5 m - 8 = 3 + (- 7) + m$
46018	Factor by Grouping	24x^2y^2+18xy^4-2xy^3	$24 x^{2} y^{2} + 18 x y^{4} - 2 x y^{3}$
46019	Convert to Radical Form	23-2/3	$23 - \frac{2}{3}$
46020	Find the Third Derivative	y=-1/2+1/3x^3+3/20x^6+1/24x^-4	$y = - \frac{1}{2} + \frac{1}{3} x^{3} + \frac{3}{20} x^{6} + \frac{1}{24} x^{- 4}$
46021	Solve the Inequality for X	3(2x-1)>4+5(X-1)	$3 (2 x - 1) > 4 + 5 (X - 1)$
46022	Simplify	2(7 square root of 50+2 square root of 8)	$2 (7 \sqrt{50} + 2 \sqrt{8})$
46023	Use Logarithmic Differentiation to Find the Derivative	y=(x^3+1)^(xe^x)	$y = {(x^{3} + 1)}^{x e^{x}}$
46024	Simplify	-1/4m(8m^2+m-7)	$- \frac{1}{4} m (8 m^{2} + m - 7)$
46025	Evaluate	cos(x)cot(x)+sin(x)	$\cos (x) \cot (x) + \sin (x)$
46026	Solve for x	(30-2x)(20-2x)(x)=1008	$(30 - 2 x) (20 - 2 x) (x) = 1008$
46027	Simplify	(6-5yi)(5-i)+(6-5yi)(2+i)	$(6 - 5 y i) (5 - i) + (6 - 5 y i) (2 + i)$
46028	Simplify	(9-x^2)/(x^2+6x+9)*(3x+9)/(3x-9)	$\frac{9 - x^{2}}{x^{2} + 6 x + 9} \cdot \frac{3 x + 9}{3 x - 9}$
46029	Find the LCD	3/(7x) and 1/(3x+7)	$\frac{3}{7 x}$ and $\frac{1}{3 x + 7}$
46030	Find the Equation Using Point-Slope Formula	(-5,-6) and slope m=3/8	$(- 5, - 6)$ and slope $m = \frac{3}{8}$
46031	Evaluate the Limit	limit as x approaches infinity of (9x^2-2)/(6-29x)	$lim_{x \to \infty} \frac{9 x^{2} - 2}{6 - 29 x}$
46032	Find the Antiderivative	(x^2)/(2x+2)	$\frac{x^{2}}{2 x + 2}$
46033	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2(x-1)(x+1)^2(x-3)^3	$f (x) = 2 (x - 1) {(x + 1)}^{2} {(x - 3)}^{3}$
46034	Find the Second Derivative	2x^(1/5)+3	$2 x^{\frac{1}{5}} + 3$
46035	Simplify	4*(a+5)+14	$4 \cdot (a + 5) + 14$
46036	Multiply	3x3x3x	$3 x \cdot 3 x \cdot 3 x$
46037	Solve for v	4 = square root of (3v)/(pi*8)	$4 = \sqrt{\frac{3 v}{π \cdot 8}}$
46038	Evaluate the Function	1/(1,0,0)	$\frac{1}{1, 0, 0}$
46039	Rationalize the Numerator	( square root of x^2+9-5)/(x+4)	$\frac{\sqrt{x^{2} + 9} - 5}{x + 4}$
46040	Solve for x	-(4+x)/3=-2	$- \frac{4 + x}{3} = - 2$
46041	Simplify	(5x-3)(x+4)-(2x+5)(3x-4)	$(5 x - 3) (x + 4) - (2 x + 5) (3 x - 4)$
46042	Solve the Inequality for x	\|2-3x\|>=7	$\| 2 - 3 x \| \geq 7$
46043	Multiply	(3x^2-2x+1)(x^2+x-4)	$(3 x^{2} - 2 x + 1) (x^{2} + x - 4)$
46044	Divide	12x^3+7x^2+9x+2÷4x+1	$12 x^{3} + 7 x^{2} + 9 x + 2 \div 4 x + 1$
46045	Find the Inverse	y=6-x^3	$y = 6 - x^{3}$
46046	Simplify	((x+4)/2)/((x^2-16)/3)	$\frac{\frac{x + 4}{2}}{\frac{x^{2} - 16}{3}}$
46047	Solve by Factoring	2x^2+3=4x	$2 x^{2} + 3 = 4 x$
46048	Solve for x	4x^3=16	$4 x^{3} = 16$
46049	Solve for x	g=y+c/x	$g = y + \frac{c}{x}$
46050	Solve for x	(x^2+2x+6)^(3/2)+1=0	${(x^{2} + 2 x + 6)}^{\frac{3}{2}} + 1 = 0$
46051	Evaluate	-( square root of 2)/2*( square root of 2)/2	$- \frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
46052	Find the Cosecant Given the Point	(2 square root of 5,4)	$(2 \sqrt{5}, 4)$
46053	Find the Product	7(6x^2+9xy+10y^2)	$7 (6 x^{2} + 9 x y + 10 y^{2})$
46054	Find the Third Derivative	y=5/8x+2/9-1/6x^-3	$y = \frac{5}{8} x + \frac{2}{9} - \frac{1}{6} x^{- 3}$
46055	Solve by Substitution	y=4x and x+y=5	$y = 4 x$ and $x + y = 5$
46056	Solve for x in Radians	cos(x)^2+sin(x)=1	$\cos^{2} (x) + \sin (x) = 1$
46057	Simplify	1+(x^2+x-6)/((x+4)(x-2))	$1 + \frac{x^{2} + x - 6}{(x + 4) (x - 2)}$
46058	Simplify	(csc(x)^2-1)/(cos(x)^2)	$\frac{\csc^{2} (x) - 1}{\cos^{2} (x)}$
46059	Solve the Function Operation	If A=([1,0],[2,-3]) ; we have 2x+3A=0 ; then find x matrix	If $A = ([1, 0], [2, - 3])$ ; we have $2 x + 3 A = 0$ ; then find $x$ matrix
46060	Evaluate	sin(-t)=3/8	$\sin (- t) = \frac{3}{8}$
46061	Evaluate	4.5+pi	$4.5 + π$
46062	Find the Sum of the Infinite Geometric Series	1/3+1/9+1/27	$\frac{1}{3} + \frac{1}{9} + \frac{1}{27}$
46063	Write in Standard Form	(2x)/3-y/15=1/3	$\frac{2 x}{3} - \frac{y}{15} = \frac{1}{3}$
46064	Write in Standard Form	(2x^3+4x^2-5)-(4x^3-x^2+3x+12)	$(2 x^{3} + 4 x^{2} - 5) - (4 x^{3} - x^{2} + 3 x + 12)$
46065	Graph	p^1v^1=p^2v^2	$p^{1} v^{1} = p^{2} v^{2}$
46066	Simplify	((9x)/(x-8)*(x+4)/(x^2+12x+32))÷((3x)/(9x^3-576x))	$\frac{9 x}{x - 8} \cdot \frac{x + 4}{x^{2} + 12 x + 32} \div \frac{3 x}{9 x^{3} - 576 x}$
46067	Evaluate the Limit	limit as x approaches 1 of (x^(1/26)-x^(1/2))/(x^(1/23)-x^(1/2))	$lim_{x \to 1} \frac{x^{\frac{1}{2} \cdot 6} - x^{\frac{1}{2}}}{x^{\frac{1}{2} \cdot 3} - x^{\frac{1}{2}}}$
46068	Solve for x	-2\|x\|=14	$- 2 \| x \| = 14$
46069	Solve the System of Equations	x+y=-5 y=5x+1	$x + y = - 5$ $y = 5 x + 1$
46070	Solve the System of Equations	-24-8x=12y 1+5/9y=-7/18x	$- 24 - 8 x = 12 y$ $1 + \frac{5}{9} y = - \frac{7}{18} x$
46071	Convert to a Decimal	810deg	$810$ degrees
46072	Simplify	[3(2a)^(3/2)]	$[3 {(2 a)}^{\frac{3}{2}}]$
46073	Simplify	( cube root of 16)^3	${(\sqrt[3]{16})}^{3}$
46074	Find the Maximum/Minimum Value	y=1/(x^2)	$y = \frac{1}{x^{2}}$
46075	Evaluate the Function	f(-x)=(3(-x)^2-1)/((-x)^2)	$f (- x) = \frac{3 {(- x)}^{2} - 1}{{(- x)}^{2}}$
46076	Find the Derivative - d/dx	y=(2x+3)^3 square root of 4x^3-1	$y = {(2 x + 3)}^{3} \sqrt{4 x^{3} - 1}$
46077	Solve for x	square root of x-2+3=-2	$\sqrt{x - 2 + 3} = - 2$
46078	Solve for x	4(1/2x+3)=3x+12-x	$4 (\frac{1}{2} x + 3) = 3 x + 12 - x$
46079	Solve for θ	tan(theta/2) = square root of 3	$\tan (\frac{θ}{2}) = \sqrt{3}$
46080	Solve the System of Equations	(x-5)^(1/2)+5=2 (x-5)^(1/2)=-3 ((x-5)^(1/2))^2=(-3)^2	${(x - 5)}^{\frac{1}{2}} + 5 = 2$ ${(x - 5)}^{\frac{1}{2}} = - 3$ ${({(x - 5)}^{\frac{1}{2}})}^{2} = {(- 3)}^{2}$
46081	Solve for A	A/(3x)*(3x+3)/(x^2-2x-3)=1	$\frac{A}{3 x} \cdot \frac{3 x + 3}{x^{2} - 2 x - 3} = 1$
46082	Find the Tangent Line at (1,-2)	f(x)=-2x^3 at (1,-2)	$f (x) = - 2 x^{3}$ at $(1, - 2)$
46083	Simplify	cos(theta)csc(theta)(sec(theta)^2-1)	$\cos (θ) \cdot \csc (θ) \cdot (\sec^{2} (θ) - 1)$
46084	Simplify	3^-4(3x)^3	$3^{- 4} {(3 x)}^{3}$
46085	Simplify	2xy(3xy)^4	$2 x y {(3 x y)}^{4}$
46086	Simplify	((6p^2+p-12)/(8p^2+18p+9))÷((6p^2-11p+4)/(2p^2+13p-7))	$\frac{6 p^{2} + p - 12}{8 p^{2} + 18 p + 9} \div \frac{6 p^{2} - 11 p + 4}{2 p^{2} + 13 p - 7}$
46087	Find All Complex Solutions	3tan(x)^3=tan(x)	$3 \tan^{3} (x) = \tan (x)$
46088	Solve for θ in Degrees	3sin(theta)^2-4=-4sin(theta)	$3 \sin^{2} (θ) - 4 = - 4 \sin (θ)$
46089	Find the Antiderivative	1/x-x^2	$\frac{1}{x} - x^{2}$
46090	Find the Cotangent Given the Point	(2 square root of 5,4)	$(2 \sqrt{5}, 4)$
46091	Find dx/dy	(1-x)y^1=y^2	$(1 - x) y^{1} = y^{2}$
46092	Solve the System of Equations	5x-3y=-7/2 8x+3y=10	$5 x - 3 y = - \frac{7}{2}$ $8 x + 3 y = 10$
46093	Solve for θ in Degrees	4csc(theta)+6=-2	$4 \csc (θ) + 6 = - 2$
46094	Solve for x	3/4(8x)-x=-2(x-7)	$\frac{3}{4} (8 x) - x = - 2 (x - 7)$
46095	Simplify	(2a^(1/3)+a^(-1/3))/(a^(1/3))	$\frac{2 a^{\frac{1}{3}} + a^{- \frac{1}{3}}}{a^{\frac{1}{3}}}$
46096	Solve for x	10=18-4(29-7x)^(1/3)	$10 = 18 - 4 {(29 - 7 x)}^{\frac{1}{3}}$
46097	Solve the Inequality for x	105^(x+2)>1000	$105^{x + 2} > 1000$
46098	Simplify	- square root of (64xy)/(16xy)	$- \sqrt{\frac{64 x y}{16 x y}}$
46099	Simplify	(5-x)/(1/x)	$\frac{5 - x}{\frac{1}{x}}$
46100	Find the Concavity	f(x)=x^(4/3)+4x^(1/3)	$f (x) = x^{\frac{4}{3}} + 4 x^{\frac{1}{3}}$