Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36601	Simplify	-2 cube root of 6y(-5 cube root of 9y^2)	$- 2 \sqrt[3]{6 y} (- 5 \sqrt[3]{9 y^{2}})$
36602	Find the Product	(-3x^5y)(-4x^9y^2)	$(- 3 x^{5} y) (- 4 x^{9} y^{2})$
36603	Simplify	cube root of 1000x^6y^5	$\sqrt[3]{1000 x^{6}} y^{5}$
36604	Simplify	(5xy)(6yz)(7xz)	$(5 x y) (6 y z) (7 x z)$
36605	Factor	Factor x^2+9x+20	Factor $x^{2} + 9 x + 20$
36606	Simplify	(x^(2/3)y^(-1/4))/(x^(1/2)y^(-1/2))	$\frac{x^{\frac{2}{3}} y^{- \frac{1}{4}}}{x^{\frac{1}{2}} y^{- \frac{1}{2}}}$
36607	Solve for m	6x+3=m(2x+1)	$6 x + 3 = m (2 x + 1)$
36608	Solve for t	r=r_0+1/10at^2	$r = r_{0} + \frac{1}{10} a t^{2}$
36609	Simplify	(11- square root of -72)(2+ square root of -18)	$(11 - \sqrt{- 72}) (2 + \sqrt{- 18})$
36610	Solve for a	3/a-4/(a+2)=0	$\frac{3}{a} - \frac{4}{a + 2} = 0$
36611	Determine if Linear	y=(4x-2)/12	$y = \frac{4 x - 2}{12}$
36612	Evaluate	70% of 50	$70 %$ of $50$
36613	Find the Exact Value	cos(25 degrees )cos(15 degrees )-sin(25 degrees )sin(15 degrees )	$\cos (25 °) \cos (15 °) - \sin (25 °) \sin (15 °)$
36614	Evaluate the Integral	integral of (4/(3t^2)+7/(2t)) with respect to x	$\int (\frac{4}{3 t^{2}} + \frac{7}{2 t}) d x$
36615	Convert to Set Notation	2(x-4)<=2+3(x-6)	$2 (x - 4) \leq 2 + 3 (x - 6)$
36616	Solve for x	log base square root of 5 of 5=x	$\log_{\sqrt{5}} (5) = x$
36617	Find the Antiderivative	3 square root of x+x^2018	$3 \sqrt{x} + x^{2018}$
36618	Solve the Inequality for x	1/4(8-x)>-3	$\frac{1}{4} (8 - x) > - 3$
36619	Solve for x	x=- square root of 2x+15	$x = - \sqrt{2 x + 15}$
36620	Solve for c	x^2-c=0	$x^{2} - c = 0$
36621	Subtract	(9x^4+x^2)-(6x^4-3x^2-8)	$(9 x^{4} + x^{2}) - (6 x^{4} - 3 x^{2} - 8)$
36622	Evaluate	(5(1023/1024))/(1/2)	$\frac{5 (\frac{1023}{1024})}{\frac{1}{2}}$
36623	Divide Using Long Polynomial Division	(-30x^3y+12x^2y^2-18x^2y)÷(-6x^2y)	$(- 30 x^{3} y + 12 x^{2} y^{2} - 18 x^{2} y) \div (- 6 x^{2} y)$
36624	Solve Using the Quadratic Formula	3/(x-1)-(2x+10)/(x^2+2x-3)=1/3	$\frac{3}{x - 1} - \frac{2 x + 10}{x^{2} + 2 x - 3} = \frac{1}{3}$
36625	Write in Standard Form	f(x)=(x+2)(2x-8)	$f (x) = (x + 2) (2 x - 8)$
36626	Graph	x^6-15=5x^4-x^2	$x^{6} - 15 = 5 x^{4} - x^{2}$
36627	Solve for x	(x+3)/(x+4)-2/(x+4)=3/(x-4)	$\frac{x + 3}{x + 4} - \frac{2}{x + 4} = \frac{3}{x - 4}$
36628	Find the Derivative - d/dx	y=9sec(1/3x)	$y = 9 \sec (\frac{1}{3} x)$
36629	Evaluate the Limit	limit as x approaches 1 of (x^3+2x^2+3x)/x	$lim_{x \to 1} \frac{x^{3} + 2 x^{2} + 3 x}{x}$
36630	Simplify	(25/4)/(1/5-4/25)	$\frac{\frac{25}{4}}{\frac{1}{5} - \frac{4}{25}}$
36631	Solve for g	96g-22g+82=3(26g-61)+9	$96 g - 22 g + 82 = 3 (26 g - 61) + 9$
36632	Factor	Factor: 32a^2+50q^2	Factor: $32 a^{2} + 50 q^{2}$
36633	Evaluate	60/360(2pi*18)	$\frac{60}{360} (2 π \cdot 18)$
36634	Simplify the Radical Expression	(5-4 square root of 2)/(4-3 square root of 2)	$\frac{5 - 4 \sqrt{2}}{4 - 3 \sqrt{2}}$
36635	Solve for z	(4z)/-12=-8	$\frac{4 z}{- 12} = - 8$
36636	Solve for x	cos(x/2+pi/3)^2-1=0	$\cos^{2} (\frac{x}{2} + \frac{π}{3}) - 1 = 0$
36637	Simplify	( square root of 2- square root of 6)/( square root of 6- square root of 8)	$\frac{\sqrt{2} - \sqrt{6}}{\sqrt{6} - \sqrt{8}}$
36638	Solve for x	1/6(-4x-5)=6(2x+5)	$\frac{1}{6} (- 4 x - 5) = 6 (2 x + 5)$
36639	Divide	(25x^7y^3)/(xy^2)	$\frac{25 x^{7} y^{3}}{x y^{2}}$
36640	Solve for x	log of 2x+1+ log of x-4 = log of 2x^2-4	$\log (2 x + 1) + \log (x - 4) = \log (2 x^{2} - 4)$
36641	Evaluate	x^0+3^-1-3^2	$x^{0} + 3^{- 1} - 3^{2}$
36642	Write in Standard Form	15(y-1/3)=x	$15 (y - \frac{1}{3}) = x$
36643	Evaluate the Limit	limit as x approaches infinity of (5x^2-3x+6)/(1+4x-7x^2)	$lim_{x \to \infty} \frac{5 x^{2} - 3 x + 6}{1 + 4 x - 7 x^{2}}$
36644	Find the LCD	(8x)/(x+3) and 2/(3x)	$\frac{8 x}{x + 3}$ and $\frac{2}{3 x}$
36645	Subtract	8/(5-c)-8/(5+c)	$\frac{8}{5 - c} - \frac{8}{5 + c}$
36646	Write in Standard Form	y(y+4)-y(y-3)-9y	$y (y + 4) - y (y - 3) - 9 y$
36647	Find the Exact Value	2(2)^2	$2 {(2)}^{2}$
36648	Solve Using the Quadratic Formula	x^2+x-48=3x	$x^{2} + x - 48 = 3 x$
36649	Solve for r	-1/3=r-3/4	$- \frac{1}{3} = r - \frac{3}{4}$
36650	Find the Reference Angle	cos(-(7pi)/6)	$\cos (- \frac{7 π}{6})$
36651	Find the Exact Value	(1+0.06/4)^(4/12)-1	${(1 + \frac{0.06}{4})}^{\frac{4}{12}} - 1$
36652	Find y Using the Constant of Variation	If z varies jointly with x and y ; when x=3 , y=8 , z=6 Find z ; when x=6 and y=4	If $z$ varies jointly with $x$ and $y$ ; when $x = 3$ , $y = 8$ , $z = 6$ Find $z$ ; when $x = 6$ and $y = 4$
36653	Evaluate	(-1/2)/1	$\frac{- \frac{1}{2}}{1}$
36654	Write the Fraction in Simplest Form	(-4(k^-3v^4)^-1)/(20k^-2v^8)	$\frac{- 4 {(k^{- 3} v^{4})}^{- 1}}{20 k^{- 2} v^{8}}$
36655	Factor	18e^2f^3-12e^3f	$18 e^{2} f^{3} - 12 e^{3} f$
36656	Find the Domain	y=1/( square root of 9-x^2)	$y = \frac{1}{\sqrt{9 - x^{2}}}$
36657	Evaluate	(3^-2k^0w^0)/(w^-6)	$\frac{3^{- 2} \cdot k^{0} \cdot w^{0}}{w^{- 6}}$
36658	Simplify	((e^x-e^(-x))/2)^2	${(\frac{e^{x} - e^{- x}}{2})}^{2}$
36659	Convert to Interval Notation	x<4 and x>-4	$x < 4$ and $x > - 4$
36660	Graph	x<=-1 and y<=-2x+2	$x \leq - 1$ and $y \leq - 2 x + 2$
36661	Evaluate	(a^2b^-2c^-1)/(e^7)	$\frac{a^{2} b^{- 2} c^{- 1}}{e^{7}}$
36662	Find the Antiderivative	7*e^x	$7 \cdot e^{x}$
36663	Solve for r	2/(x-2)+3/(x+5)=(rx+t)/((x-2)(x+5))	$\frac{2}{x - 2} + \frac{3}{x + 5} = \frac{r x + t}{(x - 2) (x + 5)}$
36664	Evaluate	2(2)^-2	$2 {(2)}^{- 2}$
36665	Find Where Increasing/Decreasing	(x-2)/((x+3)^2)	$\frac{(x - 2)}{{(x + 3)}^{2}}$
36666	Simplify the Radical Expression	(2x^3y^4)^(-2/3)	${(2 x^{3} y^{4})}^{- \frac{2}{3}}$
36667	Simplify the Radical Expression	- square root of 81+ square root of -28+ square root of 1- square root of -175	$- \sqrt{81} + \sqrt{- 28} + \sqrt{1} - \sqrt{- 175}$
36668	Simplify	-10yi^3+2xi^4	$- 10 y i^{3} + 2 x i^{4}$
36669	Evaluate	(e^0.001-1)/0.001	$\frac{e^{0.001} - 1}{0.001}$
36670	Graph	y=2+3/2 square root of 5-x	$y = 2 + \frac{3}{2} \sqrt{5 - x}$
36671	Convert to a Decimal	29deg	$29$ degrees
36672	Find the GCF	a^2b^2+a	$a^{2} b^{2} + a$
36673	Simplify	square root of 3^2+1^2	$\sqrt{3^{2} + 1^{2}}$
36674	Solve by Substitution	x+y=11 4x^2-3y^2=8	$x + y = 11$ $4 x^{2} - 3 y^{2} = 8$
36675	Convert from Degrees to Radians	45 degrees *pi/180 degrees	$45 ° \cdot \frac{π}{180 °}$
36676	Solve for x	x^2 = square root of 16	$x^{2} = \sqrt{16}$
36677	Solve for x	cube root of 8x^3-1+1=2x	$\sqrt[3]{8 x^{3} - 1} + 1 = 2 x$
36678	Solve the System of Equations	(x-1)^2+y^2=25 x-y^2=-4	${(x - 1)}^{2} + y^{2} = 25$ $x - y^{2} = - 4$
36679	Evaluate the Limit	limit as x approaches 0 of (x+sin(x))^(1/x)	$lim_{x \to 0} {(x + \sin (x))}^{\frac{1}{x}}$
36680	Multiply	2pi*3	$2 π \cdot 3$
36681	Simplify	2/(5x^3)+1/4	$\frac{2}{5 x^{3}} + \frac{1}{4}$
36682	Simplify	(10x^3)/(8y^3)(16x)/(15y^2)(9y^4)/(x^3)	$\frac{10 x^{3}}{8 y^{3}} \cdot \frac{16 x}{15 y^{2}} \cdot \frac{9 y^{4}}{x^{3}}$
36683	Find the Derivative - d/dx	natural log of x^2y	$\ln (x^{2} y)$
36684	Solve for y	y+2=1/6(x-0)	$y + 2 = \frac{1}{6} (x - 0)$
36685	Solve for y	e^y=x	$e^{y} = x$
36686	Solve the Inequality for x	x+1+4<=9	$x + 1 + 4 \leq 9$
36687	Simplify	(3x^-2)^4(x^2y^4)^3	${(3 x^{- 2})}^{4} {(x^{2} y^{4})}^{3}$
36688	Simplify	2i^3(5-3i^6)	$2 i^{3} (5 - 3 i^{6})$
36689	Evaluate the Integral	integral from 1 to 4 of (4/(x^2)+2x-3x^2) with respect to x	$\int_{1}^{4} (\frac{4}{x^{2}} + 2 x - 3 x^{2}) d x$
36690	Simplify	-13x+(-7x)+5x	$- 13 x + (- 7 x) + 5 x$
36691	Graph	f(x)=(x^2-1)(x+2)(x+3)	$f (x) = (x^{2} - 1) (x + 2) (x + 3)$
36692	Write in Slope-Intercept Form	2y+3=-1/3(x-2)	$2 y + 3 = - \frac{1}{3} (x - 2)$
36693	Simplify	(m-3n)/(m^3-n^3)-(2n)/(n^3-m^3)	$\frac{m - 3 n}{m^{3} - n^{3}} - \frac{2 n}{n^{3} - m^{3}}$
36694	Find the Antiderivative	natural log of x^2-x	$\ln (x^{2} - x)$
36695	Solve the Function Operation	p(-4) if p(x)=3x^2-4x+7	$p (- 4)$ if $p (x) = 3 x^{2} - 4 x + 7$
36696	Evaluate	(tan(pi/3))/2+1/(csc(pi/3))	$\frac{\tan (\frac{π}{3})}{2} + \frac{1}{\csc (\frac{π}{3})}$
36697	Solve the Inequality for b	2.50+5b<=21	$2.5 + 5 b \leq 21$
36698	Simplify	(3x^5+3x^4-6x^3-4x^2)+(-9x^4+2x^3-5x^2)	$(3 x^{5} + 3 x^{4} - 6 x^{3} - 4 x^{2}) + (- 9 x^{4} + 2 x^{3} - 5 x^{2})$
36699	Find the Antiderivative	8(4^x)	$8 (4^{x})$
36700	Find the Derivative - d/dx	(-4x^6+4x^5-3x^3)/(3x^2)	$\frac{- 4 x^{6} + 4 x^{5} - 3 x^{3}}{3 x^{2}}$