Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
44501	Evaluate	square root of x-2=4	$\sqrt{x - 2} = 4$
44502	Find dy/dx	y=(1+3x)/(2-x^2)	$y = \frac{1 + 3 x}{2 - x^{2}}$
44503	Solve for y	y=-4/3(-3)	$y = - \frac{4}{3} (- 3)$
44504	Simplify	(2^-2)^(3/2)	${(2^{- 2})}^{\frac{3}{2}}$
44505	Solve for x	145=10x-8x	$145 = 10 x - 8 x$
44506	Multiply	(6rs^2)(s^3t^2)(1/2r^4t^3)	$(6 r s^{2}) (s^{3} t^{2}) (\frac{1}{2} r^{4} t^{3})$
44507	Convert to Interval Notation	x<3 and x>-5	$x < 3$ and $x > - 5$
44508	Factor	(3x+y)^2-9	${(3 x + y)}^{2} - 9$
44509	Simplify	square root of 2x^2* square root of 15x^2	$\sqrt{2 x^{2}} \cdot \sqrt{15 x^{2}}$
44510	Simplify	square root of 2 square root of 8	$\sqrt{2 \sqrt{8}}$
44511	Solve for x	8ix=-5	$8 i x = - 5$
44512	Solve Using the Quadratic Formula	x^3-3x^2-4x+12	$x^{3} - 3 x^{2} - 4 x + 12$
44513	Evaluate	pi(3125/5-6250/3+3125)	$π (\frac{3125}{5} - \frac{6250}{3} + 3125)$
44514	Evaluate	f(x)=2 square root of -9	$f (x) = 2 \sqrt{- 9}$
44515	Simplify the Radical Expression	square root of 36+ square root of 64	$\sqrt{36} + \sqrt{64}$
44516	Simplify	(2t)/(3t-12)-8/(3t-12)	$\frac{2 t}{3 t - 12} - \frac{8}{3 t - 12}$
44517	Simplify the Radical Expression	square root of 8/25	$\sqrt{\frac{8}{25}}$
44518	Verify the Identity	3x+7=3(x+2)+1	$3 x + 7 = 3 (x + 2) + 1$
44519	Solve Using the Quadratic Formula	1/2x^2-x/4-1=0	$\frac{1}{2} x^{2} - \frac{x}{4} - 1 = 0$
44520	Divide	( square root of 6)÷( square root of 2)	$\sqrt{6} \div \sqrt{2}$
44521	Solve the Inequality for c	2c+6<2c+9	$2 c + 6 < 2 c + 9$
44522	Simplify	yy3	$y \cdot y \cdot 3$
44523	Simplify	1/(i^-25)	$\frac{1}{i^{- 25}}$
44524	Find the Exact Value	cos(-495 degrees )	$\cos (- 495 °)$
44525	Solve the System of Equations	-2x+3y+4z=5 6x+7y+z=9 3x+7y+z=-9	$- 2 x + 3 y + 4 z = 5$ $6 x + 7 y + z = 9$ $3 x + 7 y + z = - 9$
44526	Simplify	3(4x^2+x)-(3x^2+3x-1)	$3 (4 x^{2} + x) - (3 x^{2} + 3 x - 1)$
44527	Solve for x	z=3(x-h)	$z = 3 (x - h)$
44528	Divide	(-6/5)÷(-12/25)	$- \frac{6}{5} \div (- \frac{12}{25})$
44529	Simplify	(8x^0y^2z^3)^-2	${(8 x^{0} y^{2} z^{3})}^{- 2}$
44530	Find the Antiderivative	x^2+1/(x^2)	$x^{2} + \frac{1}{x^{2}}$
44531	Solve for x	x^(-2/3)+x^(-1/3)-30=0	$x^{- \frac{2}{3}} + x^{- \frac{1}{3}} - 30 = 0$
44532	Simplify	(-2(4-1)-(2-5))+1	$(- 2 (4 - 1) - (2 - 5)) + 1$
44533	Solve for x	log of 6x+5- log of 3 = log of 2- log of x	$\log (6 x + 5) - \log (3) = \log (2) - \log (x)$
44534	Simplify the Radical Expression	( square root of 8m^2)/( square root of 6m)	$\frac{\sqrt{8 m^{2}}}{\sqrt{6 m}}$
44535	Find Amplitude, Period, and Phase Shift	y=2cos(2x+pi)-1	$y = 2 \cos (2 x + π) - 1$
44536	Simplify	(cos(x)^2)/(cos(x)^2)	$\frac{\cos^{2} (x)}{\cos^{2} (x)}$
44537	Write in Standard Form	(-2x^2+3x-1)(2x^2+3x+5)	$(- 2 x^{2} + 3 x - 1) (2 x^{2} + 3 x + 5)$
44538	Describe the Transformation	g(x)=-1/2f(x)	$g (x) = - \frac{1}{2} f (x)$
44539	Simplify	(x^2-25y^2)÷(x^2+10xy+25y^2)	$(x^{2} - 25 y^{2}) \div (x^{2} + 10 x y + 25 y^{2})$
44540	Evaluate	(x^3*x^-2)/(x^5)	$\frac{x^{3} \cdot x^{- 2}}{x^{5}}$
44541	Solve for x	2x+3+5x+17+90=180	$2 x + 3 + 5 x + 17 + 90 = 180$
44542	Find the Antiderivative	y=x^2-3x+1/x	$y = x^{2} - 3 x + \frac{1}{x}$
44543	Simplify the Matrix	(1,4-0,2) , 2	$(1, 4 - 0, 2)$ , $2$
44544	Solve the Inequality for x	square root of 3x+4-5<=4	$\sqrt{3 x + 4} - 5 \leq 4$
44545	Solve the System of Inequalities	y>x+3 y<=-1	$y > x + 3$ $y \leq - 1$
44546	Solve for c	4c-20=-20+4c	$4 c - 20 = - 20 + 4 c$
44547	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+11x^3-9x^2-8x+30 is divided by x+3	Use synthetic division to find the result when $4 x^{4} + 11 x^{3} - 9 x^{2} - 8 x + 30$ is divided by $x + 3$
44548	Convert to a Percentage	33 is what percent of 60	$33$ is what percent of $60$
44549	Evaluate	(-pi/2)^2	${(- \frac{π}{2})}^{2}$
44550	Simplify	cube root of 4a^2b^4* cube root of 16a^3b^2	$\sqrt[3]{4 a^{2} b^{4}} \cdot \sqrt[3]{16 a^{3} b^{2}}$
44551	Simplify the Radical Expression	( fourth root of z^5)/( fifth root of z)	$\frac{\sqrt[4]{z^{5}}}{\sqrt[5]{z}}$
44552	Write in Standard Form	(x-3)^2-2x=9	${(x - 3)}^{2} - 2 x = 9$
44553	Write in Standard Form	(x^2+x+2)(2x^2-3x-1)	$(x^{2} + x + 2) (2 x^{2} - 3 x - 1)$
44554	Evaluate the Function	g(-1)=-1/( square root of 1-(-1)^2)	$g (- 1) = \frac{- 1}{\sqrt{1 - {(- 1)}^{2}}}$
44555	Simplify	(2x-x^3-2x^2)+(-x^3-2x)	$(2 x - x^{3} - 2 x^{2}) + (- x^{3} - 2 x)$
44556	Graph	y=2^(-x^2)	$y = 2^{- x^{2}}$
44557	Evaluate the Integral	integral of 4tan(x)^2 with respect to x	$\int 4 \tan^{2} (x) d x$
44558	Evaluate the Integral	integral of 5/(2 square root of x^3) with respect to x	$\int \frac{5}{2 \sqrt{x^{3}}} d x$
44559	Find the Parallel Line	y=2x-11 , P=(3,12)	$y = 2 x - 11$ , $P = (3, 12)$
44560	Solve for b	ab-d=c	$a b - d = c$
44561	Solve for x	x=5+ square root of 16	$x = 5 + \sqrt{16}$
44562	Evaluate	(1/2)(1/2)3/4	$(\frac{1}{2}) (\frac{1}{2}) \frac{3}{4}$
44563	Simplify	log base 2 of 2^x	$\log_{2} (2^{x})$
44564	Find the Domain	square root of cube root of 4-x	$\sqrt{\sqrt[3]{4 - x}}$
44565	Simplify the Radical Expression	3^(1/4)*27^(1/4)	$3^{\frac{1}{4}} \cdot 27^{\frac{1}{4}}$
44566	Solve for y	(3y^(3/2))^2=72x	${(3 y^{\frac{3}{2}})}^{2} = 72 x$
44567	Graph	12+y<=-3x	$12 + y \leq - 3 x$
44568	Integrate Using u-Substitution	integral from 0 to 4 of x/( square root of 1+2x) with respect to x	$\int_{0}^{4} \frac{x}{\sqrt{1 + 2 x}} d x$
44569	Simplify	1/(x^2y^2)+1/(x^2y^3)	$\frac{1}{x^{2} y^{2}} + \frac{1}{x^{2} y^{3}}$
44570	Solve for x	9=x+2 square root of x-1	$9 = x + 2 \sqrt{x - 1}$
44571	Evaluate	81^7-27^9-9^13 by 45	$81^{7} - 27^{9} - 9^{13}$ by $45$
44572	Simplify	(3x+3)^2+(x+5)(x-4)	${(3 x + 3)}^{2} + (x + 5) (x - 4)$
44573	Evaluate the Summation	4 sum from i=1 to 5 of i^2-4	$4 \sum_{i = 1}^{5} i^{2} - 4$
44574	Find the Derivative - d/dx	cos(x)^4-sin(x)^4	$\cos^{4} (x) - \sin^{4} (x)$
44575	Solve using Gaussian Elimination	2x+5y-z=2 3x+8y+z=4	$2 x + 5 y - z = 2$ $3 x + 8 y + z = 4$
44576	Graph	y-x>0	$y - x > 0$
44577	Simplify	1+(sin(x)^2)/(cos(x)^2)	$1 + \frac{\sin^{2} (x)}{\cos^{2} (x)}$
44578	Evaluate the Integral	integral of (4x-1)(3x+1) with respect to x	$\int (4 x - 1) (3 x + 1) d x$
44579	Evaluate	cot(-300 degrees )	$\cot (- 300 °)$
44580	Solve the System of Equations	10x+y=-20 y=2x^2-4x-16	$10 x + y = - 20$ $y = 2 x^{2} - 4 x - 16$
44581	Solve for W	cube root of W=3	$\sqrt[3]{W} = 3$
44582	Evaluate	fourth root of 3^5* cube root of 3^4	$\sqrt[4]{3^{5}} \cdot \sqrt[3]{3^{4}}$
44583	Evaluate the Integral	integral of 1/(x(1+( natural log of x)^2)) with respect to x	$\int \frac{1}{x (1 + \ln^{2} (x))} d x$
44584	Find the Complex Conjugate	3/(4+4 square root of 5)	$\frac{3}{4 + 4 \sqrt{5}}$
44585	Solve for x in Radians	2sin(x)cos(x) = square root of 2cos(x)	$2 \sin (x) \cos (x) = \sqrt{2} \cos (x)$
44586	Solve the Inequality for a	2+2a<=10	$2 + 2 a \leq 10$
44587	Evaluate	4900E-3	$4900 E - 3$
44588	Graph	x^3+2x^2+x	$x^{3} + 2 x^{2} + x$
44589	Solve for x	2/3x+4/5=1/6x+3/10	$\frac{2}{3} x + \frac{4}{5} = \frac{1}{6} x + \frac{3}{10}$
44590	Simplify	(2a)/(2a+3)+5/(3-2a)-(4a^2+9)/(4a^2-9)	$\frac{2 a}{2 a + 3} + \frac{5}{3 - 2 a} - \frac{4 a^{2} + 9}{4 a^{2} - 9}$
44591	Solve for x	-sin(x)=-2/pi	$- \sin (x) = - \frac{2}{π}$
44592	Simplify	(7-3i^2)(i^4-6)	$(7 - 3 i^{2}) (i^{4} - 6)$
44593	Simplify	(2x^2-2y^2)/(x+y)	$\frac{2 x^{2} - 2 y^{2}}{x + y}$
44594	Solve for n	(n+3)^(5/4)-32=0	${(n + 3)}^{\frac{5}{4}} - 32 = 0$
44595	Simplify the Radical Expression	square root of 7xy^18	$\sqrt{7 x y^{18}}$
44596	Solve by Substitution	y=1/2x+1 y=-1/2x+9	$y = \frac{1}{2} x + 1$ $y = - \frac{1}{2} x + 9$
44597	Simplify	-2/(x^2-2x-3)+3/(x^2-9)	$\frac{- 2}{x^{2} - 2 x - 3} + \frac{3}{x^{2} - 9}$
44598	Find the Length of c	tri{4}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
44599	Evaluate the Integral	integral of (x-1)/x with respect to x	$\int \frac{x - 1}{x} d x$
44600	Find the Antiderivative	1/(4 fourth root of x^3)	$\frac{1}{4 \sqrt[4]{x^{3}}}$