Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
31601	Solve by Factoring	2x^5+24x=14x^3	$2 x^{5} + 24 x = 14 x^{3}$
31602	Find dy/dx	y=2 fifth root of x^2	$y = 2 \sqrt[5]{x^{2}}$
31603	Find Trig Functions Using Identities	csc(theta)=4 , cot(theta)<0	$\csc (θ) = 4$ , $\cot (θ) < 0$
31604	Solve for x	3x+15>=0	$3 x + 15 \geq 0$
31605	Write in Exponential Form	( fourth root of x^3)	$(\sqrt[4]{x^{3}})$
31606	Solve for x	y=5+x	$y = 5 + x$
31607	Simplify	((2x^2)(6x))/((3x)(4x^2))	$\frac{(2 x^{2}) (6 x)}{(3 x) (4 x^{2})}$
31608	Find the Exact Value	(-30(-7))-(210(-3))	$(- 30 (- 7)) - (210 (- 3))$
31609	Solve for x	12-3x+4x=9+10x+8	$12 - 3 x + 4 x = 9 + 10 x + 8$
31610	Evaluate	(2x+2)/(3x-3)>0	$\frac{2 x + 2}{3 x - 3} > 0$
31611	Evaluate	1/2+3*2^2-1	$\frac{1}{2} + 3 \cdot 2^{2} - 1$
31612	Simplify	(4x^2-20x+25)/(x^2-4x)*(3x-12)/(2x-5)	$\frac{4 x^{2} - 20 x + 25}{x^{2} - 4 x} \cdot \frac{3 x - 12}{2 x - 5}$
31613	Find the Antiderivative	e^(x+y)	$e^{x + y}$
31614	Solve for x	-17+4x<=-49	$- 17 + 4 x \leq - 49$
31615	Solve for x	165=5x^3	$165 = 5 x^{3}$
31616	Solve for x	x-4=5/x	$x - 4 = \frac{5}{x}$
31617	Write in Standard Form	(-1- square root of -6)^2	${(- 1 - \sqrt{- 6})}^{2}$
31618	Add	(4a-5b^2+3)+(6-2a+3b^2)	$(4 a - 5 b^{2} + 3) + (6 - 2 a + 3 b^{2})$
31619	Simplify	square root of 3* square root of -4	$\sqrt{3} \cdot \sqrt{- 4}$
31620	Simplify the Radical Expression	square root of 121+ square root of -28- square root of 49- square root of -112	$\sqrt{121} + \sqrt{- 28} - \sqrt{49} - \sqrt{- 112}$
31621	Solve the System of Inequalities	x<2 y-x<=2	$x < 2$ $y - x \leq 2$
31622	Factor	Factor: x^2+2x-3	Factor: $x^{2} + 2 x - 3$
31623	Find the Inverse	g(x) = log base 3 of 3-2x	$g (x) = \log_{3} (3 - 2 x)$
31624	Simplify the Radical Expression	( fifth root of h^11)/( sixth root of h^5)	$\frac{\sqrt[5]{h^{11}}}{\sqrt[6]{h^{5}}}$
31625	Multiply	(x+5)/(x^3-25x)*(2x^3-11x^2+5x)	$\frac{(x + 5)}{(x^{3} - 25 x)} \cdot (2 x^{3} - 11 x^{2} + 5 x)$
31626	Simplify	((2x^-2y^7)/(6xy^-1))^-2	${(\frac{2 x^{- 2} y^{7}}{6 x y^{- 1}})}^{- 2}$
31627	Factor	42ab-25b-35a+30b^2	$42 a b - 25 b - 35 a + 30 b^{2}$
31628	Simplify	(x-(-2))	$(x - (- 2))$
31629	Simplify	2(-3)^3+6	$2 {(- 3)}^{3} + 6$
31630	Simplify	4x^3y^6+(xy^2)^3	$4 x^{3} y^{6} + {(x y^{2})}^{3}$
31631	Find dy/dx	0=-x^3+y^3-x^2	$0 = - x^{3} + y^{3} - x^{2}$
31632	Simplify	(i-2)^3	${(i - 2)}^{3}$
31633	Simplify the Radical Expression	sixth root of 27e^3	$\sqrt[6]{27 e^{3}}$
31634	Find the Slope	(-3,-4) and (2,-1)	$(- 3, - 4)$ and $(2, - 1)$
31635	Solve for r	16-2r=3r+6r+1	$16 - 2 r = 3 r + 6 r + 1$
31636	Solve for θ	cos(theta)^2-sin(theta)^2=1	$\cos^{2} (θ) - \sin^{2} (θ) = 1$
31637	Divide Using Long Polynomial Division	((2x+3)/(8x^3+6x^2+x+15))	$(\frac{2 x + 3}{8 x^{3} + 6 x^{2} + x + 15})$
31638	Evaluate the Integral	integral of 3x(4x+3)^2 with respect to x	$\int 3 x {(4 x + 3)}^{2} d x$
31639	Simplify	(9x+3y)/(3x+y)	$\frac{9 x + 3 y}{3 x + y}$
31640	Solve for m	m+4 = square root of m+10	$m + 4 = \sqrt{m + 10}$
31641	Simplify	-a+(-3a)+15+5a-(-2)	$- a + (- 3 a) + 15 + 5 a - (- 2)$
31642	Solve the System of Inequalities	-x-12>-2 and 5(x-3)+6x>-14	$- x - 12 > - 2$ and $5 (x - 3) + 6 x > - 14$
31643	Find dy/dx	-xy+2x=4	$- x y + 2 x = 4$
31644	Solve the System of Equations	y-z=5 -4x-4y+z=3 -3x+y+2z=-4	$y - z = 5$ $- 4 x - 4 y + z = 3$ $- 3 x + y + 2 z = - 4$
31645	Simplify	square root of 15+8 square root of 15-12 square root of 15	$\sqrt{15} + 8 \sqrt{15} - 12 \sqrt{15}$
31646	Solve for x	4/x=12/-9	$\frac{4}{x} = \frac{12}{- 9}$
31647	Evaluate the Limit	limit as x approaches -1 of (x^3-7x^2+14x-8)/(2x^2-3x-4)	$lim_{x \to - 1} \frac{x^{3} - 7 x^{2} + 14 x - 8}{2 x^{2} - 3 x - 4}$
31648	Solve for x	15/(8x-3)=1/(2+2x)	$\frac{15}{8 x - 3} = \frac{1}{2 + 2 x}$
31649	Write in Standard Form	3x-30=y	$3 x - 30 = y$
31650	Find the LCD	3/(10x) and (2x)/(x+10)	$\frac{3}{10 x}$ and $\frac{2 x}{x + 10}$
31651	Solve for d	e^(2d)=5	$e^{2 d} = 5$
31652	Simplify	Simplify 2a^(-5/2)	Simplify $2 a^{- \frac{5}{2}}$
31653	Solve for y	y/(y-1)+1/(y-4)=(y^2)/(y^2-5y+4)	$\frac{y}{y - 1} + \frac{1}{y - 4} = \frac{y^{2}}{y^{2} - 5 y + 4}$
31654	Find the Domain and Range	f(x)=-6cos(pix-pi/2)+2	$f (x) = - 6 \cos (π x - \frac{π}{2}) + 2$
31655	Evaluate the Function	f(x)=(x^2-6x+9)/(x-3) , a=3	$f (x) = \frac{x^{2} - 6 x + 9}{x - 3}$ , $a = 3$
31656	Find Trig Functions Using Identities	tan(theta)=24/7 , sin(theta)<0	$\tan (θ) = \frac{24}{7}$ , $\sin (θ) < 0$
31657	Find the Domain	square root of cube root of 2-x	$\sqrt{\sqrt[3]{2 - x}}$
31658	Convert from Radians to Degrees	20rad	$20$ rad
31659	Simplify	2+5i-4-2i-i-3	$2 + 5 i - 4 - 2 i - i - 3$
31660	Solve for x	fourth root of 3x+3 = fourth root of 2x-7	$\sqrt[4]{3 x + 3} = \sqrt[4]{2 x - 7}$
31661	Graph	3*(1/2)^x	$3 \cdot {(\frac{1}{2})}^{x}$
31662	Solve for x	(x^3+3x^2)/(x^2-2x-15)=(4x+5)/(x-5)	$\frac{x^{3} + 3 x^{2}}{x^{2} - 2 x - 15} = \frac{4 x + 5}{x - 5}$
31663	Find the Roots (Zeros)	x^5+7x^4=18x^3	$x^{5} + 7 x^{4} = 18 x^{3}$
31664	Divide Using Synthetic Division	(2x^3+x^2+x-4)/(x-1)	$\frac{2 x^{3} + x^{2} + x - 4}{x - 1}$
31665	Simplify	(x^3+x^2y+xy^2+y^3)/(x^2+2xy+y^2)+(2xy)/(x+y)	$\frac{(x^{3} + x^{2} y + x y^{2} + y^{3})}{x^{2} + 2 x y + y^{2}} + \frac{2 x y}{x + y}$
31666	Solve the Rational Equation for x	6- square root of x-2=x+4	$6 - \sqrt{x - 2} = x + 4$
31667	Find the Other Trig Values in Quadrant III	tan(theta)=0	$\tan (θ) = 0$
31668	Simplify the Radical Expression	(x^(1/2)y^-3)^(1/2)	${(x^{\frac{1}{2}} y^{- 3})}^{\frac{1}{2}}$
31669	Write in Standard Form	-1/2x=y+3	$- \frac{1}{2} x = y + 3$
31670	Simplify	(-2^6)/(4^3)	$\frac{- 2^{6}}{4^{3}}$
31671	Multiply	(2x^3+3x^2+10x)(8x^4)	$(2 x^{3} + 3 x^{2} + 10 x) (8 x^{4})$
31672	Find the Inflection Points	f(x) = cube root of x-1	$f (x) = \sqrt[3]{x - 1}$
31673	Evaluate the Integral	integral of (x^5+2x^4-x^2)/(x^4) with respect to x	$\int \frac{x^{5} + 2 x^{4} - x^{2}}{x^{4}} d x$
31674	Solve for x	1=cot(x)^2+csc(x)	$1 = \cot^{2} (x) + \csc (x)$
31675	Find the Exact Value	3(cos(45 degrees )^2-sin(90 degrees )^2)	$3 (\cos^{2} (45 °) - \sin^{2} (90 °))$
31676	Find the Equation Given the Roots	( plus or minus 4)i	$(\pm 4) i$
31677	Solve by Graphing	x+2y=-2 y=-1/3x	$x + 2 y = - 2$ $y = - \frac{1}{3} x$
31678	Graph	f(x)=1/8(1/4)^(x-2)	$f (x) = \frac{1}{8} {(\frac{1}{4})}^{x - 2}$
31679	Find the Product	-3y^2z^2*(-2yz^2-3z)	$- 3 y^{2} z^{2} \cdot (- 2 y z^{2} - 3 z)$
31680	Simplify	((x^2-8x+15)/(x^2+4x))÷(x^2-x-20)	$\frac{x^{2} - 8 x + 15}{x^{2} + 4 x} \div (x^{2} - x - 20)$
31681	Solve the Inequality for x	\|(x-1)/(3x-6)\|=(1-x)/(3x-6)	$\| \frac{x - 1}{3 x - 6} \| = \frac{1 - x}{3 x - 6}$
31682	Find the Derivative - d/dx	y=(a+b/(x^2))^3	$y = {(a + \frac{b}{x^{2}})}^{3}$
31683	Solve the System of Inequalities	0<x<=3	$0 < x \leq 3$
31684	Simplify	square root of 3(- square root of 10+5)	$\sqrt{3} (- \sqrt{10} + 5)$
31685	Solve for n	1/2(-3/2n+1)=3/4-n	$\frac{1}{2} (- \frac{3}{2} n + 1) = \frac{3}{4} - n$
31686	Find the Excluded Values	((x+3)/(x^2+8x+15))÷((x^2-25)/(x-5))	$\frac{x + 3}{x^{2} + 8 x + 15} \div \frac{x^{2} - 25}{x - 5}$
31687	Solve for u	-2 2/5+u=1 1/3	$- 2 \frac{2}{5} + u = 1 \frac{1}{3}$
31688	Simplify	square root of -5 square root of -5	$\sqrt{- 5 \sqrt{- 5}}$
31689	Simplify	2y-y+7-1+3+7x^2-4y	$2 y - y + 7 - 1 + 3 + 7 x^{2} - 4 y$
31690	Solve for u	9+24u^-2=58u^-1	$9 + 24 u^{- 2} = 58 u^{- 1}$
31691	Find the Domain	f(x)=\|x\|*x	$f (x) = \| x \| \cdot x$
31692	Simplify	(-xy)^2(2x^9y^5)^4	${(- x y)}^{2} {(2 x^{9} y^{5})}^{4}$
31693	Simplify	(2^-3)/(2^-2)*2^6	$\frac{2^{- 3}}{2^{- 2}} \cdot 2^{6}$
31694	Split Using Partial Fraction Decomposition	-(5x-4)/((x+1)(x-2))	$- \frac{5 x - 4}{(x + 1) (x - 2)}$
31695	Determine if a Polynomial	(x^3+1)/x	$\frac{x^{3} + 1}{x}$
31696	Simplify	(x+9)-(2x-3)^2	$(x + 9) - {(2 x - 3)}^{2}$
31697	Simplify	3x+6(2x-y)-(32-x)	$3 x + 6 (2 x - y) - (32 - x)$
31698	Solve for y	square root of y+2 = square root of 2y+5	$\sqrt{y + 2} = \sqrt{2 y + 5}$
31699	Find dy/dx	(3x^2+y)^4=y	${(3 x^{2} + y)}^{4} = y$
31700	Solve for y	5y=7/3y+8	$5 y = \frac{7}{3} y + 8$