Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
29501	Simplify	((3^3)^2+(3^2)^3+3^2*3^4)/9	$\frac{{(3^{3})}^{2} + {(3^{2})}^{3} + 3^{2} \times 3^{4}}{9}$
29502	Find the Holes in the Graph	f(x)=(x^3+4x^2-21x)/(x^2+4x-21)	$f (x) = \frac{x^{3} + 4 x^{2} - 21 x}{x^{2} + 4 x - 21}$
29503	Multiply	x(7x^2+3x)	$x (7 x^{2} + 3 x)$
29504	Add	-5+2i , -5i	$- 5 + 2 i$ , $- 5 i$
29505	Solve the System of Inequalities	x-4y>=6 3x+2y>5	$x - 4 y \geq 6$ $3 x + 2 y > 5$
29506	Simplify	(c^(2/3)d^-5)/(c^(1/6)d^-1)	$\frac{c^{\frac{2}{3}} d^{- 5}}{c^{\frac{1}{6}} d^{- 1}}$
29507	Find the Derivative - d/dx	\|x\|+2\|1-x\|	$\| x \| + 2 \| 1 - x \|$
29508	Find the Domain and Range	f^-1(x) = square root of x	$f^{- 1} (x) = \sqrt{x}$
29509	Find the Center and Radius	x^2+y^2+25=0	$x^{2} + y^{2} + 25 = 0$
29510	Solve for x	7(x+2)^(1/3)=0	$7 {(x + 2)}^{\frac{1}{3}} = 0$
29511	Simplify	(2xy^9)(-4x^2y^4z^3)	$(2 x y^{9}) (- 4 x^{2} y^{4} z^{3})$
29512	Solve for x	x/(x^2-9)+4/(x+3)=3/(x^2-9)	$\frac{x}{x^{2} - 9} + \frac{4}{x + 3} = \frac{3}{x^{2} - 9}$
29513	Simplify the Radical Expression	(2 square root of 10)/(3 square root of 11)	$\frac{2 \sqrt{10}}{3 \sqrt{11}}$
29514	Simplify	(4x^0)^-2	${(4 x^{0})}^{- 2}$
29515	Expand the Logarithmic Expression	log base 3 of ( square root of 5)/(q^2p)	$\log_{3} (\frac{\sqrt{5}}{q^{2} p})$
29516	Find the Slope	(1,1) and (1,9)	$(1, 1)$ and $(1, 9)$
29517	Evaluate	(9*10)÷(4+1)+12	$(9 \cdot 10) \div (4 + 1) + 12$
29518	Find dy/dx	y=3sin(2x)	$y = 3 \sin (2 x)$
29519	Find dy/dx	cos(x^2+y)=x	$\cos (x^{2} + y) = x$
29520	Simplify the Radical Expression	(24 square root of 225x^22)/(4 square root of 5x^4)	$\frac{24 \sqrt{225 x^{22}}}{4 \sqrt{5 x^{4}}}$
29521	Simplify	b^(n-2)*b^(n-3)	$b^{n - 2} \cdot b^{n - 3}$
29522	Find the Roots (Zeros)	y=(4x^2+12x)/(x+7)	$y = \frac{4 x^{2} + 12 x}{x + 7}$
29523	Evaluate	(3^4*b^5)^2	${(3^{4} \cdot b^{5})}^{2}$
29524	Evaluate the Integral	integral of (5 square root of x)/2 with respect to x	$\int \frac{5 \sqrt{x}}{2} d x$
29525	Evaluate	square root of 648 = square root of 2^a*3^b	$\sqrt{648} = \sqrt{2^{a} \cdot 3^{b}}$
29526	Find the Antiderivative	y/x	$\frac{y}{x}$
29527	Solve the System of Equations	0=-2y+10-6x 14-22y=18x	$0 = - 2 y + 10 - 6 x$ $14 - 22 y = 18 x$
29528	Simplify the Radical Expression	( square root of -56)/( square root of -7)	$\frac{\sqrt{- 56}}{\sqrt{- 7}}$
29529	Solve for n	n=3 , a=8	$n = 3$ , $a = 8$
29530	Find the Slope and y-intercept	-2(x+3y)=12	$- 2 (x + 3 y) = 12$
29531	Evaluate	(x^3y^-2)/((3y^2x-x^2y^-1)^2)	$\frac{x^{3} y^{- 2}}{{(3 y^{2} x - x^{2} y^{- 1})}^{2}}$
29532	Find All Complex Solutions	b^2-10b=39	$b^{2} - 10 b = 39$
29533	Solve by Substitution	y=9x y=2x	$y = 9 x$ $y = 2 x$
29534	Solve for x	6x-4/7(21x-35)=2	$6 x - \frac{4}{7} (21 x - 35) = 2$
29535	Evaluate	3(x-8)+4x=8x+4	$3 (x - 8) + 4 x = 8 x + 4$
29536	Simplify	(-x^2+x+2)^2	${(- x^{2} + x + 2)}^{2}$
29537	Simplify	(7- square root of -1)- square root of -81	$(7 - \sqrt{- 1}) - \sqrt{- 81}$
29538	Solve for x	3/2(4x-1)+8x=-(4x+1/2)+4x	$\frac{3}{2} (4 x - 1) + 8 x = - (4 x + \frac{1}{2}) + 4 x$
29539	Solve the Inequality for x	y>x-5	$y > x - 5$
29540	Solve the System of Equations	x-2y=-19 -5x-2y=-1 6x+0=-18	$x - 2 y = - 19$ $- 5 x - 2 y = - 1$ $6 x + 0 = - 18$
29541	Solve for x	2/(3x^(1/3))=1	$\frac{2}{3 x^{\frac{1}{3}}} = 1$
29542	Simplify	x^3(x-1)^2(2+x)(2-x)	$x^{3} {(x - 1)}^{2} (2 + x) (2 - x)$
29543	Find the Coterminal Angle	11/4pi	$\frac{11}{4} π$
29544	Solve for θ in Degrees	16sec(theta)^2-25=0	$16 \sec^{2} (θ) - 25 = 0$
29545	Evaluate	x2/3	$x \frac{2}{3}$
29546	Expand the Logarithmic Expression	log base 13 of (3x^4)/( cube root of 7x-3)	$\log_{13} (\frac{3 x^{4}}{\sqrt[3]{7 x - 3}})$
29547	Write in Exponential Form	(3^3)^2*3^2	${(3^{3})}^{2} \cdot 3^{2}$
29548	Solve for x	(1/4)^x=8^(1-x)	${(\frac{1}{4})}^{x} = 8^{1 - x}$
29549	Solve for k	square root of 5k-9 = square root of 3k+15	$\sqrt{5 k - 9} = \sqrt{3 k + 15}$
29550	Convert to a Decimal	585deg	$585$ degrees
29551	Solve for x	x+x/2=1+2x	$x + \frac{x}{2} = 1 + 2 x$
29552	Rationalize the Denominator	(a-b)/( fourth root of a^3- fourth root of a^2b)	$\frac{a - b}{\sqrt[4]{a^{3}} - \sqrt[4]{a^{2} b}}$
29553	Simplify	((a^-2)^3b^4)/(b^-2)	$\frac{{(a^{- 2})}^{3} b^{4}}{b^{- 2}}$
29554	Solve for x	y=x+p-q	$y = x + p - q$
29555	Solve the Inequality for x	cos(x)<1	$\cos (x) < 1$
29556	Find the Product	-5x^3(2x^3-4x^2+2)	$- 5 x^{3} (2 x^{3} - 4 x^{2} + 2)$
29557	Solve for x	-3/4x-11/4x=-7/2	$- \frac{3}{4} x - \frac{11}{4} x = - \frac{7}{2}$
29558	Find the Derivative of the Integral	F(x) = integral from x^3 to x^2 of cos(t) with respect to t	$F (x) = \int_{x^{3}}^{x^{2}} \cos (t) d t$
29559	Solve for y	y^0+y^1=1/(x^-2)	$y^{0} + y^{1} = \frac{1}{x^{- 2}}$
29560	Graph	x+y>-3 x+y>1	$x + y > - 3$ $x + y > 1$
29561	Graph	square root of 3x-12+7<=16	$\sqrt{3 x - 12} + 7 \leq 16$
29562	Find the LCD	7/(6x) and 8/(3x+12)	$\frac{7}{6 x}$ and $\frac{8}{3 x + 12}$
29563	Solve for x	square root of (1-x)^2+8=17	$\sqrt{{(1 - x)}^{2}} + 8 = 17$
29564	Add	(2x+3y)+(4x+9y)	$(2 x + 3 y) + (4 x + 9 y)$
29565	Solve for a	\|2a+5\|<=3	$\| 2 a + 5 \| \leq 3$
29566	Convert to a Decimal	sin(285)deg	$\sin (285)$ degrees
29567	Evaluate the Integral	integral from 1 to 2 of x square root of x^2-1 with respect to x	$\int_{1}^{2} x \sqrt{x^{2} - 1} d x$
29568	Multiply	square root of 3* cube root of 18	$\sqrt{3} \cdot \sqrt[3]{18}$
29569	Add	(5xy+3x)+(2xy-2x+3xy)	$(5 x y + 3 x) + (2 x y - 2 x + 3 x y)$
29570	Write in Standard Form	(-x^2-1)-(-2x^2-4)	$(- x^{2} - 1) - (- 2 x^{2} - 4)$
29571	Simplify the Radical Expression	cube root of 9xy^2*3 cube root of 3x^4y^6	$\sqrt[3]{9 x y^{2}} \cdot 3 \sqrt[3]{3 x^{4} y^{6}}$
29572	Multiply	(x- square root of 8)(x+ square root of 8)	$(x - \sqrt{8}) (x + \sqrt{8})$
29573	Graph	g(x)=f(-x+2)	$g (x) = f (- x + 2)$
29574	Simplify	3 square root of 6x^2-2 square root of 20x^3+2x square root of 45x	$3 \sqrt{6 x^{2}} - 2 \sqrt{20 x^{3}} + 2 x \sqrt{45 x}$
29575	Write Using Positive Exponents	4^4(4^-7)(4)	$4^{4} (4^{- 7}) (4)$
29576	Simplify	- fourth root of y+2 square root of y-7 fourth root of y- square root of y	$- \sqrt[4]{y} + 2 \sqrt{y} - 7 \sqrt[4]{y} - \sqrt{y}$
29577	Simplify	((2a)/(3b))÷((3a)/(2b))	$\frac{2 a}{3 b} \div \frac{3 a}{2 b}$
29578	Rewrite the Cartesian Equation as a Polar Equation	x=-1	$x = - 1$
29579	Factor	(w^2-5w-24)/(w+1)*(w^2-6w-7)/(w+3)	$\frac{w^{2} - 5 w - 24}{w + 1} \cdot \frac{w^{2} - 6 w - 7}{w + 3}$
29580	Solve the Inequality for x	y>-3x+4	$y > - 3 x + 4$
29581	Evaluate	g(x)=14*2^x	$g (x) = 14 \cdot 2^{x}$
29582	Solve the Inequality for x	8x^2+50x-5<10x-5	$8 x^{2} + 50 x - 5 < 10 x - 5$
29583	Find the Antiderivative	e^pi	$e^{π}$
29584	Solve for m	2(-3m-5)>=-28	$2 (- 3 m - 5) \geq - 28$
29585	Solve for x	1/2x-1=(1/3)^(2x-1)	$\frac{1}{2} x - 1 = {(\frac{1}{3})}^{2 x - 1}$
29586	Find the LCD	(2x)/(x+1) and -3/(5x+5)	$\frac{2 x}{x + 1}$ and $\frac{- 3}{5 x + 5}$
29587	Simplify	(4n)/( square root of 10n^5)	$\frac{4 n}{\sqrt{10 n^{5}}}$
29588	Find the Cosecant Given the Point	(-5/9,(2 square root of 14)/9)	$(- \frac{5}{9}, \frac{2 \sqrt{14}}{9})$
29589	Simplify	8/6+(-9/5)	$\frac{8}{6} + (- \frac{9}{5})$
29590	Find dy/dx	y=e^(-x)+2xe^(-x)+x^2e^(-x)	$y = e^{- x} + 2 x e^{- x} + x^{2} e^{- x}$
29591	Find Where Increasing/Decreasing	y=1200*(1+0.3)^t	$y = 1200 \cdot {(1 + 0.3)}^{t}$
29592	Find the Product	(3f-2g)(f^2+2(fg)-g^2)	$(3 f - 2 g) (f^{2} + 2 f g - g^{2})$
29593	Find the Antiderivative	f(x)=3/( square root of x)+x^2	$f (x) = \frac{3}{\sqrt{x}} + x^{2}$
29594	Evaluate	(x^-2y^2)/(x^0y^3)	$\frac{x^{- 2} y^{2}}{x^{0} y^{3}}$
29595	Solve for y	2xy=1	$2 x y = 1$
29596	Evaluate Using L'Hospital's Rule	limit as x approaches 2 of (2cos(4-2x)-x)/(x^2-4)	$lim_{x \to 2} \frac{2 \cos (4 - 2 x) - x}{x^{2} - 4}$
29597	Solve the Inequality for x	2\|x-3\|+6>10	$2 \| x - 3 \| + 6 > 10$
29598	Subtract	70%-45	$70 % - 45$
29599	Solve for x	5/6-(x+5)/42=1	$\frac{5}{6} - \frac{x + 5}{42} = 1$
29600	Solve for r	r = square root of 10r	$r = \sqrt{10 r}$