Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41601	Simplify the Radical Expression	6 square root of 5+3 square root of 5-3 square root of 6	$6 \sqrt{5} + 3 \sqrt{5} - 3 \sqrt{6}$
41602	Simplify	log base w of ((x^2-6)^4)/( cube root of x^2+8)	$\log_{w} (\frac{{(x^{2} - 6)}^{4}}{\sqrt[3]{x^{2} + 8}})$
41603	Evaluate	((2+3)^2-5)*4	$({(2 + 3)}^{2} - 5) \cdot 4$
41604	Solve for y	2xy^2+x^3+y=20	$2 x y^{2} + x^{3} + y = 20$
41605	Find the Value Using the Unit Circle	cot(-(5pi)/4)	$\cot (- \frac{5 π}{4})$
41606	Simplify	(15y(y+1))/(45y^2(y+1))	$\frac{15 y (y + 1)}{45 y^{2} (y + 1)}$
41607	Simplify	((xy^-3z^-2)/(x^4y^4z^-3))^-3	${(\frac{x y^{- 3} z^{- 2}}{x^{4} y^{4} z^{- 3}})}^{- 3}$
41608	Find the Derivative - d/dx	y=(e^( natural log of x))^2	$y = {(e^{\ln (x)})}^{2}$
41609	Evaluate	( square root of 2/2)^2	${(\sqrt{\frac{2}{2}})}^{2}$
41610	Find Amplitude, Period, and Phase Shift	y=1/2sin(1/2x+pi/2)	$y = \frac{1}{2} \sin (\frac{1}{2} x + \frac{π}{2})$
41611	Graph	f(x)=1/(x(x+3)(x-3))	$f (x) = \frac{1}{x (x + 3) (x - 3)}$
41612	Evaluate the Summation	sum from k=0 to 6 of -k^2-9	$\sum_{k = 0}^{6} - k^{2} - 9$
41613	Find the Inverse	f(x)=12*11^(3x)+13	$f (x) = 12 \cdot 11^{3 x} + 13$
41614	Evaluate the Integral	integral from -7 to 0 of (y/7+ square root of y+8) with respect to y	$\int_{- 7}^{0} (\frac{y}{7} + \sqrt{y + 8}) d y$
41615	Solve the System of Equations	9x+5y=41 and x+y=9	$9 x + 5 y = 41$ and $x + y = 9$
41616	Find the Exact Value	-7 2/3+(-5 1/2)+8 3/4	$- 7 \frac{2}{3} + (- 5 \frac{1}{2}) + 8 \frac{3}{4}$
41617	Solve the Inequality for x	4^x>2^x	$4^{x} > 2^{x}$
41618	Solve for Y	Y=\|-1\|+5	$Y = \| - 1 \| + 5$
41619	Find the Distance Between Two Points	(m,0) and (n,0)	$(m, 0)$ and $(n, 0)$
41620	Solve for y	Solve: 2y-4=14	Solve: $2 y - 4 = 14$
41621	Find the Other Trig Values in Quadrant I	sin(60 degrees )=( square root of 3)/2	$\sin (60 °) = \frac{\sqrt{3}}{2}$
41622	Solve Using the Quadratic Formula	y=x^2-2x	$y = x^{2} - 2 x$
41623	Simplify the Radical Expression	fourth root of v fifth root of v^8	$\sqrt[4]{v} \sqrt[5]{v^{8}}$
41624	Simplify	a^3b^2(b^-1)^3	$a^{3} b^{2} {(b^{- 1})}^{3}$
41625	Find the Product	(x^2+6x+8)/(x^2+4x+3)*(x+3)/(x+2)	$\frac{x^{2} + 6 x + 8}{x^{2} + 4 x + 3} \cdot \frac{x + 3}{x + 2}$
41626	Solve the System of Inequalities	v+2<=6 or v-4>=12	$v + 2 \leq 6$ or $v - 4 \geq 12$
41627	Solve for t	5t^3+60t^2=-180t	$5 t^{3} + 60 t^{2} = - 180 t$
41628	Simplify	(x^2)/(x^2-49)-(9x-14)/(x^2-49)	$\frac{x^{2}}{x^{2} - 49} - \frac{9 x - 14}{x^{2} - 49}$
41629	Convert to Radical Form	(m^16no)^(1/2)	${(m^{16} n o)}^{\frac{1}{2}}$
41630	Find the Derivative - d/dx	d/(dx)x^5y^10-x^3sin(z)+y^2e^z	$\frac{d}{d x} x^{5} y^{10} - x^{3} \sin (z) + y^{2} e^{z}$
41631	Write in Exponential Form	square root of 3^4	$\sqrt{3^{4}}$
41632	Find dy/dx	y=(6 cube root of x)/5	$y = \frac{6 \sqrt[3]{x}}{5}$
41633	Simplify	((2m^-3n)^2)/((4m^-4n)^2)	$\frac{{(2 m^{- 3} n)}^{2}}{{(4 m^{- 4} n)}^{2}}$
41634	Solve the System of Inequalities	y<x/3+2 y<-2x+1	$y < \frac{x}{3} + 2$ $y < - 2 x + 1$
41635	Solve for x	square root of 4x+1- square root of 2x=1	$\sqrt{4 x + 1} - \sqrt{2 x} = 1$
41636	Find the Roots (Zeros)	x^6-x^4-x^2+1=0	$x^{6} - x^{4} - x^{2} + 1 = 0$
41637	Solve Using the Quadratic Formula	x^2- square root of 2x-12	$x^{2} - \sqrt{2} x - 12$
41638	Graph	y=x^2-\|6x+5\|	$y = x^{2} - \| 6 x + 5 \|$
41639	Simplify	((m^-1n^4)^-1)/((m^2n)^-3)	$\frac{{(m^{- 1} n^{4})}^{- 1}}{{(m^{2} n)}^{- 3}}$
41640	Solve the Inequality for x	y<=2x+1	$y \leq 2 x + 1$
41641	Evaluate	180/1*pi/180	$\frac{180}{1} \cdot \frac{π}{180}$
41642	Solve for x	1/3x=x+8	$\frac{1}{3} x = x + 8$
41643	Find the Tangent Line at (2,16)	f(x)=2x^3 at (2,16)	$f (x) = 2 x^{3}$ at $(2, 16)$
41644	Evaluate	8(60÷(4^2-2^2)-2)	$8 (60 \div (4^{2} - 2^{2}) - 2)$
41645	Simplify	square root of x(5- square root of x)	$\sqrt{x} (5 - \sqrt{x})$
41646	Evaluate the Limit	limit as x approaches infinity of ( square root of 6x+5x^2)/(6x-1)	$lim_{x \to \infty} \frac{\sqrt{6 x + 5 x^{2}}}{6 x - 1}$
41647	Multiply	square root of 6(5+ square root of 3)	$\sqrt{6} (5 + \sqrt{3})$
41648	Evaluate the Integral	integral of (sec(x)tan(x))/(sec(x)-1) with respect to x	$\int \frac{\sec (x) \tan (x)}{\sec (x) - 1} d x$
41649	Verify the Identity	((1+cos(A))(1-cos(A)))/(sin(A))=sin(A)	$\frac{(1 + \cos (A)) (1 - \cos (A))}{\sin (A)} = \sin (A)$
41650	Simplify	(x^(1/3)x^(2/3))/(x^-1)	$\frac{x^{\frac{1}{3}} x^{\frac{2}{3}}}{x^{- 1}}$
41651	Solve the Function Operation	Find (f-g)(2) if f(x)=4x+10 and g(x)=3x-7	Find $(f - g) (2)$ if $f (x) = 4 x + 10$ and $g (x) = 3 x - 7$
41652	Divide	((p^2-p-2)/(2p^2+3p+1))÷((p^2-3p+2)/(p^2+7p-8))	$\frac{p^{2} - p - 2}{2 p^{2} + 3 p + 1} \div \frac{p^{2} - 3 p + 2}{p^{2} + 7 p - 8}$
41653	Evaluate	1/a-1/b=1/(a-b)	$\frac{1}{a} - \frac{1}{b} = \frac{1}{a - b}$
41654	Find the Derivative - d/dx	2x-27x^-2	$2 x - 27 x^{- 2}$
41655	Simplify	2+7/8-5/6	$2 + \frac{7}{8} - \frac{5}{6}$
41656	Solve the Function Operation	e(x)=376 (e(x+h)-ex)/h	$e (x) = 376$ $\frac{e (x + h) - e x}{h}$
41657	Simplify	square root of 3x^2* square root of 18x	$\sqrt{3 x^{2}} \cdot \sqrt{18 x}$
41658	Solve the System of Equations	1/2x+y=-1 y=1/4x-4	$\frac{1}{2} x + y = - 1$ $y = \frac{1}{4} x - 4$
41659	Evaluate	( log base 2 of x)^2	${\log_{2}}^{2} (x)$
41660	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-5) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(- 6, - 5)$ and has a slope of $\frac{3}{2}$ ?
41661	Solve for y	-9y=20+y	$- 9 y = 20 + y$
41662	Evaluate the Integral	integral from 0 to infinity of e^(-st) with respect to t	$\int_{0}^{\infty} e^{- s t} d t$
41663	Evaluate Using the Given Value	6m-5n if m=-11 and n=3	$6 m - 5 n$ if $m = - 11$ and $n = 3$
41664	Solve the Inequality for x	19+x>15+3(x-2)	$19 + x > 15 + 3 (x - 2)$
41665	Simplify	6+6(x+4)+15y+x	$6 + 6 (x + 4) + 15 y + x$
41666	Solve the System of Inequalities	5x-8>27 or 3x+4<5	$5 x - 8 > 27$ or $3 x + 4 < 5$
41667	Solve for x	2/(2x+5)+3/(2x-5)=(5x+5)/(4x^2-25)	$\frac{2}{2 x + 5} + \frac{3}{2 x - 5} = \frac{5 x + 5}{4 x^{2} - 25}$
41668	Find the Possible Factors	factors of 63	factors of $63$
41669	Simplify	x^3y^-4x^2	$x^{3} y^{- 4} x^{2}$
41670	Rationalize the Denominator	-1/(2- square root of 15)	$\frac{- 1}{2 - \sqrt{15}}$
41671	Solve the Inequality for x	5>2+x/3	$5 > 2 + \frac{x}{3}$
41672	Simplify	(3x^2+7x+1)-(8+5x+x^2)	$(3 x^{2} + 7 x + 1) - (8 + 5 x + x^{2})$
41673	Write the Fraction in Simplest Form	(2^2)/(2^-8)*2^8	$\frac{2^{2}}{2^{- 8}} \cdot 2^{8}$
41674	Factor	4x^4+7x^2-2=0	$4 x^{4} + 7 x^{2} - 2 = 0$
41675	Find the Antiderivative	(1/2x-1)^7	${(\frac{1}{2} x - 1)}^{7}$
41676	Rationalize the Denominator	(10 square root of 12-4 square root of 12)/(20 square root of 3+30 square root of 3)	$\frac{10 \sqrt{12} - 4 \sqrt{12}}{20 \sqrt{3} + 30 \sqrt{3}}$
41677	Solve for n	12(-4+6n)=13n+23(n+9)	$12 (- 4 + 6 n) = 13 n + 23 (n + 9)$
41678	Factor	16x^2(x^2+2)-9(x^2+2)	$16 x^{2} (x^{2} + 2) - 9 (x^{2} + 2)$
41679	Solve the Inequality for x	1/(x+1)+1/(x-3)<=0	$\frac{1}{x + 1} + \frac{1}{x - 3} \leq 0$
41680	Solve for A	A=1/2r^2theta	$A = \frac{1}{2} r^{2} θ$
41681	Solve for x	32/(x^2+3x+2)-3=(x-3)/(x+1)	$\frac{32}{x^{2} + 3 x + 2} - 3 = \frac{x - 3}{x + 1}$
41682	Write in Standard Form	(-2a^2+a+6)-(-3a^2+2a-5)	$(- 2 a^{2} + a + 6) - (- 3 a^{2} + 2 a - 5)$
41683	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,-4) and has a slope of 1/2 ?	What is the equation of the line that passes through the point $(8, - 4)$ and has a slope of $\frac{1}{2}$ ?
41684	Convert to a Decimal	27deg	$27$ degrees
41685	Divide Using Long Polynomial Division	(x^4+7x^3+17x^2+20x)/(x^2+4)	$\frac{(x^{4} + 7 x^{3} + 17 x^{2} + 20 x)}{(x^{2} + 4)}$
41686	Simplify	2 square root of 81+4 square root of -64+ cube root of -64+ square root of -100	$2 \sqrt{81} + 4 \sqrt{- 64} + \sqrt[3]{- 64} + \sqrt{- 100}$
41687	Evaluate	(2y+5)/5=(3y+11)/4	$\frac{2 y + 5}{5} = \frac{3 y + 11}{4}$
41688	Factor	2x^2+4x+2xy	$2 x^{2} + 4 x + 2 x y$
41689	Evaluate the Limit	limit as x approaches 0 of (8e^x-8)/x	$lim_{x \to 0} \frac{8 e^{x} - 8}{x}$
41690	Graph	5x+10y-15>=0	$5 x + 10 y - 15 \geq 0$
41691	Solve the System of Equations	x^2+(y+2)^2=25 x+2y=-9	$x^{2} + {(y + 2)}^{2} = 25$ $x + 2 y = - 9$
41692	Find the Inverse	f(x)=((x^7-2)/3)^(1/5)	$f (x) = {(\frac{x^{7} - 2}{3})}^{\frac{1}{5}}$
41693	Simplify	7(a-2b+2)+7b	$7 (a - 2 b + 2) + 7 b$
41694	Simplify	(x^2y^2)/(3x^2y)*(3x^4y)^4-7x^16y^5	$\frac{x^{2} y^{2}}{3 x^{2} y} \cdot {(3 x^{4} y)}^{4} - 7 x^{16} y^{5}$
41695	Solve the System of Equations	y=4x 5x-y=5	$y = 4 x$ $5 x - y = 5$
41696	Simplify	square root of 4-2	$\sqrt{4 - 2}$
41697	Solve for r	bz=rw	$b z = r w$
41698	Find the Average Rate of Change	h(t)=sin(4t) , [0,pi/8]	$h (t) = \sin (4 t)$ , $[0, \frac{π}{8}]$
41699	Solve for u	-9=-6/u	$- 9 = - \frac{6}{u}$
41700	Solve for r	r^2=1	$r^{2} = 1$