Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
32601	Find the Second Term	A_n=n(n-1)(n-2)	$A_{n} = n (n - 1) (n - 2)$
32602	Find dy/dx	square root of x+4y^2=y	$\sqrt{x + 4 y^{2}} = y$
32603	Evaluate	fifth root of 5^3* fifth root of 5	$\sqrt[5]{5^{3}} \cdot \sqrt[5]{5}$
32604	Factor	2/3(9x-15)-(-6x+2)	$\frac{2}{3} (9 x - 15) - (- 6 x + 2)$
32605	Simplify	2/5*15/(4(y-3))	$\frac{2}{5} \cdot \frac{15}{4 (y - 3)}$
32606	Solve for y	3y-3y=0	$3 y - 3 y = 0$
32607	Solve for x	3b(2x-a^2)=5d-7gx	$3 b (2 x - a^{2}) = 5 d - 7 g x$
32608	Graph	y=(x^3)/(x^2-1)	$y = \frac{x^{3}}{x^{2} - 1}$
32609	Find the LCM	14 and 6	$14$ and $6$
32610	Simplify	4x^2-(8x-4x^2)+5+(4x-10)	$4 x^{2} - (8 x - 4 x^{2}) + 5 + (4 x - 10)$
32611	Find Amplitude, Period, and Phase Shift	y=1/4sin(8pix-(5pi)/4)	$y = \frac{1}{4} \sin (8 π x - \frac{5 π}{4})$
32612	Simplify	(6+9i)/2	$\frac{6 + 9 i}{2}$
32613	Write the Absolute Value as Piecewise	f(x)=7\|x\|	$f (x) = 7 \| x \|$
32614	Simplify	( cube root of 9-2)( cube root of 81+2 cube root of 9+4)	$(\sqrt[3]{9} - 2) (\sqrt[3]{81} + 2 \sqrt[3]{9} + 4)$
32615	Evaluate Using the Given Value	3 , 125=5^-10+3x	$3$ , $125 = 5^{- 10} + 3 x$
32616	Find the Inverse	f^-1(x)=x^2+2	$f^{- 1} (x) = x^{2} + 2$
32617	Solve the Inequality for g	g/-3.2>4	$\frac{g}{- 3.2} > 4$
32618	Solve the Inequality for x	9>x-2 1/4	$9 > x - 2 \frac{1}{4}$
32619	Simplify	(1/y)^0	${(\frac{1}{y})}^{0}$
32620	Simplify	(2x^(1/3)y^(3/5))^2	${(2 x^{\frac{1}{3}} y^{\frac{3}{5}})}^{2}$
32621	Find dy/dx	y=(2-3x)/(3+x^2)	$y = \frac{2 - 3 x}{3 + x^{2}}$
32622	Solve the Inequality for c	1/2<=c-3/4	$\frac{1}{2} \leq c - \frac{3}{4}$
32623	Simplify	(1/4)^(-3x)*8^(2-2x)	${(\frac{1}{4})}^{- 3 x} \cdot 8^{2 - 2 x}$
32624	Solve by Factoring	(x^4+5x^2-36)(2x^2+9x-5)=0	$(x^{4} + 5 x^{2} - 36) (2 x^{2} + 9 x - 5) = 0$
32625	Find f(g(x))	f(x)=-5x-4 and g(x)=6x-7	$f (x) = - 5 x - 4$ and $g (x) = 6 x - 7$
32626	Solve the System of Equations	3x=3+y -3x+y=-3	$3 x = 3 + y$ $- 3 x + y = - 3$
32627	Divide Using Long Polynomial Division	(x^2+2x)/x	$\frac{x^{2} + 2 x}{x}$
32628	Graph	x-y=9 7x^2+3y^2-24y=139	$x - y = 9$ $7 x^{2} + 3 y^{2} - 24 y = 139$
32629	Simplify	8i^56-9i^72	$8 i^{56} - 9 i^{72}$
32630	Solve the System of Equations	x+y+z=3 13x+2z=2 -x-5z=-5	$x + y + z = 3$ $13 x + 2 z = 2$ $- x - 5 z = - 5$
32631	Graph	x+y<=5 and y<=-5	$x + y \leq 5$ and $y \leq - 5$
32632	Graph	2x+y=-4 y=5/2x+5	$2 x + y = - 4$ $y = \frac{5}{2} x + 5$
32633	Simplify	-(5bc)-(bc)	$- (5 b c) - (b c)$
32634	Solve for x	-2+2x=-x+2+x	$- 2 + 2 x = - x + 2 + x$
32635	Write in Slope-Intercept Form	(5,-12) and (-3,-4)	$(5, - 12)$ and $(- 3, - 4)$
32636	Integrate Using u-Substitution	integral of sin(5x) with respect to x	$\int \sin (5 x) d x$
32637	Find the Exact Value	9/8-7/2	$\frac{9}{8} - \frac{7}{2}$
32638	Evaluate Using the Given Value	x^3-2x+3 if x=-3	$x^{3} - 2 x + 3$ if $x = - 3$
32639	Solve the Function Operation	For what value of x is the expression (2x-6)/(x-3) undefined?	For what value of $x$ is the expression $\frac{2 x - 6}{x - 3}$ undefined?
32640	Divide Using Synthetic Division	2x^4-3x^3-24x^2+76x-60 by 2x-3	$2 x^{4} - 3 x^{3} - 24 x^{2} + 76 x - 60$ by $2 x - 3$
32641	Simplify	( square root of 32c^5d^3)/( square root of 2ab)	$\frac{\sqrt{32 c^{5} d^{3}}}{\sqrt{2 a b}}$
32642	Find the Derivative - d/dx	e^(x^2)-1	$e^{x^{2}} - 1$
32643	Simplify	(10v-5v^2)/(v^2-11v+18)*(v^2-8v-9)/(15v)	$\frac{10 v - 5 v^{2}}{v^{2} - 11 v + 18} \cdot \frac{v^{2} - 8 v - 9}{15 v}$
32644	Evaluate	(17x^0y^-8)/(4^-2z^-6)	$\frac{17 x^{0} y^{- 8}}{4^{- 2} z^{- 6}}$
32645	Find the Asymptotes	(3(2x+7)(x+8))/(x+1)	$\frac{3 (2 x + 7) (x + 8)}{x + 1}$
32646	Solve for x	b/ax=d/c	$\frac{b}{a} x = \frac{d}{c}$
32647	Simplify	(2 square root of 6)/(4 square root of 2)	$\frac{2 \sqrt{6}}{4 \sqrt{2}}$
32648	Solve for x	0=x^2-20	$0 = x^{2} - 20$
32649	Evaluate	-14x>-3	$- 14 x > - 3$
32650	Solve for x	10^((2x)/3)=15	$10^{\frac{2 x}{3}} = 15$
32651	Solve for x	4-x^2=8/3	$4 - x^{2} = \frac{8}{3}$
32652	Solve for x	(x+3)/(x-3)+(x-3)/(x+3)=3 1/3	$\frac{x + 3}{x - 3} + \frac{x - 3}{x + 3} = 3 \frac{1}{3}$
32653	Simplify	x^2+x(x-5)^2	$x^{2} + x {(x - 5)}^{2}$
32654	Integrate Using u-Substitution	integral of square root of 4-x^2 with respect to x	$\int \sqrt{4 - x^{2}} d x$
32655	Find dy/dx	y=(9x^2-2x+2)^(-3/4)	$y = {(9 x^{2} - 2 x + 2)}^{- \frac{3}{4}}$
32656	Evaluate	(2(x+9))/3=(3(x+8))/5+88	$\frac{2 (x + 9)}{3} = \frac{3 (x + 8)}{5} + 88$
32657	Solve for a	10+ square root of a+7=11	$10 + \sqrt{a + 7} = 11$
32658	Solve for x	7x^5=-84	$7 x^{5} = - 84$
32659	Find All Complex Solutions	square root of 3x+14=2	$\sqrt{3 x} + 14 = 2$
32660	Simplify	4^x+4^x+4^x+4^x	$4^{x} + 4^{x} + 4^{x} + 4^{x}$
32661	Graph	-f(x)=x/(x^2+1)	$- f (x) = \frac{x}{x^{2} + 1}$
32662	Evaluate the Integral	integral of (-4/(x^3)-8/(x^5)) with respect to x	$\int (- \frac{4}{x^{3}} - \frac{8}{x^{5}}) d x$
32663	Find the Value Using the Unit Circle	tan(-(7pi)/4)	$\tan (- \frac{7 π}{4})$
32664	Evaluate the Limit	limit as z approaches 2 of (z-2)/( square root of 3-z-1)	$lim_{z \to 2} \frac{z - 2}{\sqrt{3 - z} - 1}$
32665	Find the Domain and Range	(x^2)/(x^2-4)	$\frac{x^{2}}{x^{2} - 4}$
32666	Add	3/4+-1/4	$\frac{3}{4} + - \frac{1}{4}$
32667	Find the Integral	(7x^4+5)/(x^2+1)	$\frac{7 x^{4} + 5}{x^{2} + 1}$
32668	Solve the System of Inequalities	p+4<=1 or p-1>=1	$p + 4 \leq 1$ or $p - 1 \geq 1$
32669	Simplify	(5/(9x^2))÷(10/(3x))	$\frac{5}{9 x^{2}} \div \frac{10}{3 x}$
32670	Solve for w	3 = square root of 35-2w	$3 = \sqrt{35 - 2 w}$
32671	Find the Derivative - d/dx	y=(2-7x)^2	$y = {(2 - 7 x)}^{2}$
32672	Describe the Transformation	y = cube root of x+4	$y = \sqrt[3]{x + 4}$
32673	Multiply	(a-b)(x+y)	$(a - b) (x + y)$
32674	Graph	G(x)=1/(x-5)+2	$G (x) = \frac{1}{x - 5} + 2$
32675	Solve the Inequality for m	1/3m<-21	$\frac{1}{3} m < - 21$
32676	Find the Derivative - d/dx	3x+x^2	$3 x + x^{2}$
32677	Solve the Function Operation	f(x)=(x^(1/3))/6+7 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{3}}}{6} + 7$ ; find $f^{- 1} (x)$
32678	Solve the Inequality for y	-y/3<=1.4	$- \frac{y}{3} \leq 1.4$
32679	Find Amplitude, Period, and Phase Shift	y=2cos((8x)/3-2pi)	$y = 2 \cos (\frac{8 x}{3} - 2 π)$
32680	Evaluate	i^18i^28i^9*i^29	$i^{18} \cdot i^{28} \cdot i^{9} \cdot i^{29}$
32681	Solve for x	(x-3)/x=-8/(x+3)	$\frac{x - 3}{x} = \frac{- 8}{x + 3}$
32682	Solve the Inequality for x	3(x-4)+4x<7x+2	$3 (x - 4) + 4 x < 7 x + 2$
32683	Find dy/dx	y=3^(2x)	$y = 3^{2 x}$
32684	Evaluate the Integral	2 integral from 0 to 1 of x^2 with respect to x	$2 \int_{0}^{1} x^{2} d x$
32685	Simplify	-2^3*0.3^0	$- 2^{3} \cdot {0.3}^{0}$
32686	Find the Length of b	tri{}{45}{5}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 5 \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
32687	Solve for r	4r^2-13r+6=0	$4 r^{2} - 13 r + 6 = 0$
32688	Solve for x	log base 9 of 10/(2x) = log base 9 of 2x-3	$\log_{9} (\frac{10}{2 x}) = \log_{9} (2 x - 3)$
32689	Solve for h	-15+3h=30h-6	$- 15 + 3 h = 30 h - 6$
32690	Find the Excluded Values	1-3/(x-1)=-6/(x^2-1)	$1 - \frac{3}{x - 1} = - \frac{6}{x^{2} - 1}$
32691	Find the Derivative - d/dx	arctan(x^2+1)	$\arctan (x^{2} + 1)$
32692	Find the Roots (Zeros)	y=2sin(x-pi/2)	$y = 2 \sin (x - \frac{π}{2})$
32693	Solve for x	4^2=8^2+10^2-2810*x	$4^{2} = 8^{2} + 10^{2} - 2 \cdot 8 \cdot 10 \cdot x$
32694	Divide	(2i)/(3-9i)	$\frac{2 i}{3 - 9 i}$
32695	Evaluate the Limit	limit as x approaches 0 of (3x+4x^2-x^3)^4	$lim_{x \to 0} {(3 x + 4 x^{2} - x^{3})}^{4}$
32696	Simplify	cube root of 6* fourth root of 9	$\sqrt[3]{6} \cdot \sqrt[4]{9}$
32697	Evaluate the Integral	integral from -5 to 5 of square root of 5^2-x^2 with respect to x	$\int_{- 5}^{5} \sqrt{5^{2} - x^{2}} d x$
32698	Solve the Rational Equation for x	3/x=10/(4x)-2	$\frac{3}{x} = \frac{10}{4 x} - 2$
32699	Simplify	(12-8)^3-2*7+ square root of 36	${(12 - 8)}^{3} - 2 \times 7 + \sqrt{36}$
32700	Simplify	i(-6i)^2	$i {(- 6 i)}^{2}$