Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
43601	Subtract	(v^2-4v)/(5v^2+9v-2)-(2v+16)/(5v^2+9v-2)	$\frac{v^{2} - 4 v}{5 v^{2} + 9 v - 2} - \frac{2 v + 16}{5 v^{2} + 9 v - 2}$
43602	Find the Derivative - d/dx	1/(x^2+x)	$\frac{1}{x^{2} + x}$
43603	Write as a Single Logarithm	5 natural log of x-2- natural log of x+2-3 natural log of x	$5 \ln (x - 2) - \ln (x + 2) - 3 \ln (x)$
43604	Find the Antiderivative	-13sin(x)+5/(cos(x)^2)	$- 13 \sin (x) + \frac{5}{\cos^{2} (x)}$
43605	Solve for x	-(2x)/((x^2+1)^2)=0	$- \frac{2 x}{{(x^{2} + 1)}^{2}} = 0$
43606	Solve for x	(x-1)=3(x+2)	$(x - 1) = 3 (x + 2)$
43607	Evaluate the Function	f(x)=(x^2-36)/(x+6) at x=-6	$f (x) = \frac{x^{2} - 36}{x + 6}$ at $x = - 6$
43608	Solve for x	7(x+7)=9(9+10)	$7 (x + 7) = 9 (9 + 10)$
43609	Evaluate	1/(-4/3)	$\frac{1}{- \frac{4}{3}}$
43610	Find the Domain and Range	y=3cot(pix)	$y = 3 \cot (π x)$
43611	Find the Derivative - d/dx	y=7x^3-arcsec(x)	$y = 7 x^{3} - arcsec (x)$
43612	Find the Reference Angle	cos((3pi)/2)	$\cos (\frac{3 π}{2})$
43613	Solve the System of Equations	y=3x^2-3x-20 11=3x-y	$y = 3 x^{2} - 3 x - 20$ $11 = 3 x - y$
43614	Simplify	((-4)^2m^4n^-7)/((-2)^-2q^5r^-3)	$\frac{{(- 4)}^{2} m^{4} n^{- 7}}{{(- 2)}^{- 2} q^{5} r^{- 3}}$
43615	Simplify	g^2+1/4(44g^2-12g+8)-8g	$g^{2} + \frac{1}{4} (44 g^{2} - 12 g + 8) - 8 g$
43616	Solve for b	-108=-b-8(1+3b)	$- 108 = - b - 8 (1 + 3 b)$
43617	Evaluate	123+33.0+(4.810^-2)-(6.60010^3)	$123 + 33 + (4.8 \times 10^{- 2}) - (6.6 \times 10^{3})$
43618	Simplify	(x^2)/(5+ square root of x^2+25)	$\frac{x^{2}}{5 + \sqrt{x^{2} + 25}}$
43619	Find the Derivative - d/dx	-(x^2)/2+x-1/2	$- \frac{x^{2}}{2} + x - \frac{1}{2}$
43620	Simplify the Radical Expression	cube root of 2^5	$\sqrt[3]{2^{5}}$
43621	Simplify	((b+3)/(20b+70))÷(7/(20b+70))	$\frac{b + 3}{20 b + 70} \div \frac{7}{20 b + 70}$
43622	Solve the System of Equations	x+2y-z=0 x+y+z=7 -x-8y+3z=-8	$x + 2 y - z = 0$ $x + y + z = 7$ $- x - 8 y + 3 z = - 8$
43623	Solve for x	sin(x)^2+cos(x)^2=2	$\sin^{2} (x) + \cos^{2} (x) = 2$
43624	Simplify	2ab+4ac-5c-6c+7ab	$2 a b + 4 a c - 5 c - 6 c + 7 a b$
43625	Solve for z	(-3z-1)/2>4	$\frac{- 3 z - 1}{2} > 4$
43626	Simplify the Radical Expression	4 square root of 2+2 square root of 2-5 square root of 2	$4 \sqrt{2} + 2 \sqrt{2} - 5 \sqrt{2}$
43627	Simplify the Radical Expression	square root of 75/3	$\sqrt{\frac{75}{3}}$
43628	Solve the Inequality for x	(5x-10)/(8-x)>=0	$\frac{5 x - 10}{8 - x} \geq 0$
43629	Simplify	(2^3)^2+(2*3^2)^2	${(2^{3})}^{2} + {(2 \cdot 3^{2})}^{2}$
43630	Find the GCF	36 and 48	$36$ and $48$
43631	Expand Using Sum/Difference Formulas	(3x+7)(3x-7)	$(3 x + 7) (3 x - 7)$
43632	Find the Slope	(5,-10) and (-3,-10)	$(5, - 10)$ and $(- 3, - 10)$
43633	Simplify	(5^6)/5*(5^3)/(5^2)	$\frac{5^{6}}{5} \cdot \frac{5^{3}}{5^{2}}$
43634	Find the Antiderivative	square root of 4+x^2	$\sqrt{4 + x^{2}}$
43635	Simplify	3/4+5/10	$\frac{3}{4} + \frac{5}{10}$
43636	Simplify	7^4 square root of 567+5^4 square root of 7	$7^{4} \sqrt{567} + 5^{4} \sqrt{7}$
43637	Find the Derivative - d/dt	y = natural log of t*5^t	$y = \ln (t \cdot 5^{t})$
43638	Solve the Inequality for x	5\|x-1\|+6<=76	$5 \| x - 1 \| + 6 \leq 76$
43639	Solve for x in Radians	sin(2x)-cos(x)=0	$\sin (2 x) - \cos (x) = 0$
43640	Simplify	(a/c*b/a)/((ac)/(4a))	$\frac{\frac{a}{c} \cdot \frac{b}{a}}{\frac{a c}{4 a}}$
43641	Solve by Graphing	y=5x-7 -3x-2y=-12	$y = 5 x - 7$ $- 3 x - 2 y = - 12$
43642	Simplify the Radical Expression	sixth root of 1/(2s)	$\sqrt[6]{\frac{1}{2 s}}$
43643	Solve the System of Equations	y=-1/2x-2 x+2y=-4	$y = - \frac{1}{2} x - 2$ $x + 2 y = - 4$
43644	Graph	y<=3x-2 and y>=1/2x+3	$y \leq 3 x - 2$ and $y \geq \frac{1}{2} x + 3$
43645	Evaluate	((1320000)(25000))/((0.000002)(0.0011))	$\frac{(1320000) (25000)}{(0.000002) (0.0011)}$
43646	Solve the System of Equations	2x-y-z=4 -x+2y+z=1 3x+y+z=16	$2 x - y - z = 4$ $- x + 2 y + z = 1$ $3 x + y + z = 16$
43647	Simplify the Radical Expression	cube root of 3(5 cube root of 9-4)	$\sqrt[3]{3} (5 \sqrt[3]{9} - 4)$
43648	Simplify the Matrix	[[6],[-3]]*[[-5,4]]	$[\begin{array}{c} 6 \\ - 3 \end{array}] \cdot [\begin{array}{c} - 5 & 4 \end{array}]$
43649	Find the Roots (Zeros)	x^2(x-1)	$x^{2} (x - 1)$
43650	Solve for x	square root of 2x^2+4x=4	$\sqrt{2 x^{2} + 4 x} = 4$
43651	Evaluate	(x^8x^-4)/(y^5y^6)	$\frac{x^{8} x^{- 4}}{y^{5} y^{6}}$
43652	Solve by Isolating the Absolute Value for X	A=(CD)/X	$A = \frac{C D}{X}$
43653	Evaluate	((1 1/8+1 1/2)÷3)÷(5 1/2-(9/20)÷1 4/5)	$(1 \frac{1}{8} + 1 \frac{1}{2}) \div 3 \div (5 \frac{1}{2} - \frac{9}{20} \div 1 \frac{4}{5})$
43654	Find the Second Derivative	f(x)=1/4x^4+1/4+1/3x^3	$f (x) = \frac{1}{4} x^{4} + \frac{1}{4} + \frac{1}{3} x^{3}$
43655	Simplify	a1/2*a1/3	$a \frac{1}{2} \cdot a \frac{1}{3}$
43656	Find the Domain	F(s)=sin(s/(s+6))	$F (s) = \sin (\frac{s}{s + 6})$
43657	Graph	cos(1x)^(-)	${\cos (1 x)}^{-}$
43658	Solve for x	-\|6+3x\|-8<-11	$- \| 6 + 3 x \| - 8 < - 11$
43659	Solve for x	tan(pi/12)=cot(x-pi/36)	$\tan (\frac{π}{12}) = \cot (x - \frac{π}{36})$
43660	Solve the Inequality for v	-2(5v-12)>6-v	$- 2 (5 v - 12) > 6 - v$
43661	Factor	25a^2-16(a-b)^2	$25 a^{2} - 16 {(a - b)}^{2}$
43662	Simplify	plus or minus square root of (1-cos(7A))/2	$\pm \sqrt{\frac{1 - \cos (7 A)}{2}}$
43663	Find the Tangent of the Angle	pi/3	$\frac{π}{3}$
43664	Solve the System of Equations	x-y+3z=3 -2x+2y-6z=6 y-5z=-3	$x - y + 3 z = 3$ $- 2 x + 2 y - 6 z = 6$ $y - 5 z = - 3$
43665	Simplify	square root of 36	square root of $36$
43666	Find the Roots (Zeros)	y=5sin(x)	$y = 5 \sin (x)$
43667	Simplify	fourth root of (30x^2)^3	$\sqrt[4]{{(30 x^{2})}^{3}}$
43668	Multiply	2/7(-1/4)	$\frac{2}{7} (- \frac{1}{4})$
43669	Simplify	(y^2x)/(yx^-3)	$\frac{y^{2} x}{y x^{- 3}}$
43670	Evaluate the Limit	limit as x approaches -3 of (9-x^2)/(x^3+3x^2)	$lim_{x \to - 3} \frac{9 - x^{2}}{x^{3} + 3 x^{2}}$
43671	Write in Exponential Form	x root of y root of 6	$\sqrt[x]{\sqrt[y]{6}}$
43672	Evaluate	(3v^2-7v-10)(v-4)^-1	$(3 v^{2} - 7 v - 10) {(v - 4)}^{- 1}$
43673	Solve for t	r=r_0+1/5at^2	$r = r_{0} + \frac{1}{5} a t^{2}$
43674	Simplify the Radical Expression	i^30	$i^{30}$
43675	Solve the System of Equations	2x-4y-z=10 4x-8y-2z=16 3x+y+z=12	$2 x - 4 y - z = 10$ $4 x - 8 y - 2 z = 16$ $3 x + y + z = 12$
43676	Find dy/dx	cos(xy)=x^2	$\cos (x y) = x^{2}$
43677	Simplify	square root of 1/8	$\sqrt[2]{\frac{1}{8}}$
43678	Find the Exact Value	cot((3pi)/2)-cos((3pi)/2)	$\cot (\frac{3 π}{2}) - \cos (\frac{3 π}{2})$
43679	Solve for x	-x-2y=-4z+12 3x-6y+z=15 2x+5y+1=0	$- x - 2 y = - 4 z + 12$ $3 x - 6 y + z = 15$ $2 x + 5 y + 1 = 0$
43680	Evaluate	3^2=x+5	$3^{2} = x + 5$
43681	Factor	x^4-6x^3+11x^2-6x	$x^{4} - 6 x^{3} + 11 x^{2} - 6 x$
43682	Factor	x^4+3x^3-4x^2-16x^2-48x+64	$x^{4} + 3 x^{3} - 4 x^{2} - 16 x^{2} - 48 x + 64$
43683	Evaluate	( log base square root of 2 of square root of 5)/( log base square root of 2 of square root of 10)	$\frac{\log_{\sqrt{2}} (\sqrt{5})}{\log_{\sqrt{2}} (\sqrt{10})}$
43684	Find the Sine of the Angle	pi/3	$\frac{π}{3}$
43685	Simplify	3y^2 fourth root of x^4z-x fourth root of 16y^8z	$3 y^{2} \sqrt[4]{x^{4} z} - x \sqrt[4]{16 y^{8} z}$
43686	Solve the Inequality for c	-1/2c+5<=7	$- \frac{1}{2} c + 5 \leq 7$
43687	Evaluate	(2^3x)^2	${(2^{3} x)}^{2}$
43688	Simplify	(2x-8-(x-3))/(x^2-7x+10)	$\frac{2 x - 8 - (x - 3)}{x^{2} - 7 x + 10}$
43689	Solve the Function Operation	If f(x)=4x^5-x-3 ; then what is the remainder when f(x) is divided by x-3 ?	If $f (x) = 4 x^{5} - x - 3$ ; then what is the remainder when $f (x)$ is divided by $x - 3$ ?
43690	Factor	16x^2(4x+3)-25(4x+3)	$16 x^{2} (4 x + 3) - 25 (4 x + 3)$
43691	Solve the Inequality for d	-6d<=-6	$- 6 d \leq - 6$
43692	Multiply	(6m^2-8mn+4n^2)(8m+8n)	$(6 m^{2} - 8 m n + 4 n^{2}) (8 m + 8 n)$
43693	Solve the System of Equations	0.7x-y=5.16 2-0.8x=0.4y	$0.7 x - y = 5.16$ $2 - 0.8 x = 0.4 y$
43694	Convert to Radical Form	(10^4*4^10)/(4^5)	$\frac{10^{4} \cdot 4^{10}}{4^{5}}$
43695	Simplify	6+3 square root of 5-9 square root of 5-4	$6 + 3 \sqrt{5} - 9 \sqrt{5} - 4$
43696	Find the Derivative - d/dx	e^(2x)-3e^(-x)	$e^{2 x} - 3 e^{- x}$
43697	Find the Derivative - d/dx	y=(x^2+x+1)(x-1)	$y = (x^{2} + x + 1) (x - 1)$
43698	Find the Roots (Zeros)	f(x)=-1/2(x^3-2.7x-3.1pi)	$f (x) = - \frac{1}{2} (x^{3} - 2.7 x - 3.1 π)$
43699	Simplify	(2m^2)/( square root of 36m^11)	$\frac{2 m^{2}}{\sqrt{36 m^{11}}}$
43700	Simplify	((a^2b^3)/c)^3	${(\frac{a^{2} b^{3}}{c})}^{3}$