Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
47601	Simplify	(x-6)/x-7/(2x)	$\frac{x - 6}{x} - \frac{7}{2 x}$
47602	Solve the System of Equations	(x+3)^2+(y-5)^2=65 -2x+y=-4	${(x + 3)}^{2} + {(y - 5)}^{2} = 65$ $- 2 x + y = - 4$
47603	Add	(x-4)+(-2x+1)	$(x - 4) + (- 2 x + 1)$
47604	Simplify the Radical Expression	( square root of a^9)/( square root of b^5)	$\frac{\sqrt{a^{9}}}{\sqrt{b^{5}}}$
47605	Find g(f(x))	f(x)=-2x+4 g(x)=x^2+x-1	$f (x) = - 2 x + 4$ $g (x) = x^{2} + x - 1$
47606	Simplify	4/( square root of 12z^2)	$\frac{4}{\sqrt{12 z^{2}}}$
47607	Find All Complex Solutions	1/2\|5x-15\|=10	$\frac{1}{2} \| 5 x - 15 \| = 10$
47608	Simplify	2x-8xy+15y-6xy+4x^2	$2 x - 8 x y + 15 y - 6 x y + 4 x^{2}$
47609	Evaluate the Limit	limit as x approaches 8 of (2/x-1/(x-4))/(x-8)	$lim_{x \to 8} \frac{\frac{2}{x} - \frac{1}{x - 4}}{x - 8}$
47610	Find the Antiderivative	(e^x+1)^2	${(e^{x} + 1)}^{2}$
47611	Solve the System of Equations	x-y=2 x=-2	$x - y = 2$ $x = - 2$
47612	Find the Reference Angle	cos((7pi)/3)	$\cos (\frac{7 π}{3})$
47613	Find the Roots (Zeros)	9m^5=27m^3	$9 m^{5} = 27 m^{3}$
47614	Simplify	3v square root of 4q^7r^12y^5	$3 v \sqrt{4 q^{7} r^{12} y^{5}}$
47615	Determine if a Polynomial	-5st^5 square root of 6+8t^5-7s^4 square root of t	$- 5 s t^{5} \sqrt{6} + 8 t^{5} - 7 s^{4} \sqrt{t}$
47616	Simplify the Radical Expression	sixth root of 125x^9y^6	$\sqrt[6]{125 x^{9} y^{6}}$
47617	Write in Exponential Form	( fifth root of x)^(5/6)* square root of x	${(\sqrt[5]{x})}^{\frac{5}{6}} \cdot \sqrt{x}$
47618	Solve for x	h(x)=-5x^2+180	$h (x) = - 5 x^{2} + 180$
47619	Solve for y	6(5y-3)=-31(9-y)	$6 (5 y - 3) = - 31 (9 - y)$
47620	Simplify	square root of 4x^3* square root of 9x	$\sqrt{4 x^{3}} \cdot \sqrt{9 x}$
47621	Find the Slope	Find the slope of the line passing through the points (-4,7) and (2,-8)	Find the slope of the line passing through the points $(- 4, 7)$ and $(2, - 8)$
47622	Find the Maximum/Minimum Value	f(x)=x^5-4x^3+4x-1	$f (x) = x^{5} - 4 x^{3} + 4 x - 1$
47623	Solve the Inequality for x	6^x>80	$6^{x} > 80$
47624	Solve for m	6=m-7/8	$6 = m - \frac{7}{8}$
47625	Simplify the Radical Expression	(32x^-30y^-35)^(-1/5)	${(32 x^{- 30} y^{- 35})}^{- \frac{1}{5}}$
47626	Factor	Factor 4b^5+4b^3+16b^2	Factor $4 b^{5} + 4 b^{3} + 16 b^{2}$
47627	Simplify the Radical Expression	(u^-3*u^-8)^(3/44)	${(u^{- 3} \cdot u^{- 8})}^{\frac{3}{44}}$
47628	Determine if True	(cot(theta))/(csc(theta))=cos(theta)	$\frac{\cot (θ)}{\csc (θ)} = \cos (θ)$
47629	Solve for c	1/3c^2-10=17	$\frac{1}{3} c^{2} - 10 = 17$
47630	Solve for x	log base b of x=2/3 log base b of 8+1/2 log base b of 9- log base b of 6	$\log_{b} (x) = \frac{2}{3} \log_{b} (8) + \frac{1}{2} \log_{b} (9) - \log_{b} (6)$
47631	Solve the Rational Equation for x	1/(x-3)=10	$\frac{1}{x - 3} = 10$
47632	Solve for x	3/(x+2)-x/(x+4)=0	$\frac{3}{x + 2} - \frac{x}{x + 4} = 0$
47633	Determine if (-5,2) is a Solution	(-5,2) , y=-x-3 y=3x+10	$(- 5, 2)$ , $y = - x - 3$ $y = 3 x + 10$
47634	Find the Roots (Zeros)	x^5-3x^4+3x^3-x^2	$x^{5} - 3 x^{4} + 3 x^{3} - x^{2}$
47635	Solve for a	5(a+4)-6a+1=12	$5 (a + 4) - 6 a + 1 = 12$
47636	Simplify	8y+9n-n-12	$8 y + 9 n - n - 12$
47637	Solve the Inequality for p	12p>=-72	$12 p \geq - 72$
47638	Solve for r	a=h/2 square root of 1-r	$a = \frac{h}{2} \sqrt{1 - r}$
47639	Evaluate	x(3x+2)	$x (3 x + 2)$
47640	Find dy/dx	y=arcsin(x/4)	$y = \arcsin (\frac{x}{4})$
47641	Solve for x	square root of x+3+3=x	$\sqrt{x + 3 + 3} = x$
47642	Solve the Rational Equation for x	(5-x)^(1/2)=x+1	${(5 - x)}^{\frac{1}{2}} = x + 1$
47643	Factor	9x+6y+3mx+2my+3px+2py	$9 x + 6 y + 3 m x + 2 m y + 3 p x + 2 p y$
47644	Evaluate Using Summation Formulas	sum from i=1 to 9 of -28(-1/2)^(i-1)	$\sum_{i = 1}^{9} - 28 {(- \frac{1}{2})}^{i - 1}$
47645	Verify the Identity	sin(pi/6+x)=1/2(cos(x)+ square root of 3sin(x))	$\sin (\frac{π}{6} + x) = \frac{1}{2} (\cos (x) + \sqrt{3} \sin (x))$
47646	Find the Roots (Zeros)	x^3+40=25	$x^{3} + 40 = 25$
47647	Evaluate the Limit	limit as x approaches 0 of (x+e^x)^(1/x)	$lim_{x \to 0} {(x + e^{x})}^{\frac{1}{x}}$
47648	Multiply	(x-(-1+i))(x-(-1-i))	$(x - (- 1 + i)) (x - (- 1 - i))$
47649	Find the Asymptotes	(x^2-16)/(2x^2+8x)	$\frac{x^{2} - 16}{2 x^{2} + 8 x}$
47650	Solve the Rational Equation for x	2 square root of 3x+9-4=20	$2 \sqrt{3 x + 9} - 4 = 20$
47651	Write in Standard Form	(x^2-5x-36)+(x+4)	$(x^{2} - 5 x - 36) + (x + 4)$
47652	Simplify the Radical Expression	( square root of 5x^4)/( square root of 2x^2y^3)	$\frac{\sqrt{5 x^{4}}}{\sqrt{2 x^{2} y^{3}}}$
47653	Solve for x	3(x+4)=0.6(15x+5)-6	$3 (x + 4) = 0.6 (15 x + 5) - 6$
47654	Simplify	(b-c)/b+b/(b+c)	$\frac{b - c}{b} + \frac{b}{b + c}$
47655	Solve for x	1/(2ab)=x/(24a^3b^2)	$\frac{1}{2 a b} = \frac{x}{24 a^{3} b^{2}}$
47656	Evaluate the Limit	limit as t approaches -2 of t^3(6-4t^2)	$lim_{t \to - 2} t^{3} (6 - 4 t^{2})$
47657	Divide	(125xy^3)/(x^4y^8)	$\frac{125 x y^{3}}{x^{4} y^{8}}$
47658	Simplify the Radical Expression	2 square root of 45+2 square root of 90+3 square root of 45	$2 \sqrt{45} + 2 \sqrt{90} + 3 \sqrt{45}$
47659	Graph	y=2x^2+3/4	$y = 2 x^{2} + \frac{3}{4}$
47660	Find the Product	(6v^2+2v-9)(4-5v)	$(6 v^{2} + 2 v - 9) (4 - 5 v)$
47661	Find the Roots (Zeros)	0=9x^2-49	$0 = 9 x^{2} - 49$
47662	Simplify	( cube root of 256y^8)( cube root of 625y^5)	$(\sqrt[3]{256 y^{8}}) (\sqrt[3]{625 y^{5}})$
47663	Find the Critical Points	Let f(x)=2x^3-9x^2+12x	Let $f (x) = 2 x^{3} - 9 x^{2} + 12 x$
47664	Solve by Graphing	y=-2x-2 7y-49=-49x	$y = - 2 x - 2$ $7 y - 49 = - 49 x$
47665	Find the Midpoint	What is the midpoint of the points (3,5) and (5,9) ?	What is the midpoint of the points $(3, 5)$ and $(5, 9)$ ?
47666	Evaluate the Integral	integral from 1 to 2 of (9x^2-4x+1) natural log of x with respect to x	$\int_{1}^{2} (9 x^{2} - 4 x + 1) \ln (x) d x$
47667	Write in Exponential Form	fourth root of (3x)^4	$\sqrt[4]{{(3 x)}^{4}}$
47668	Find the Slope	-3x+4	$- 3 x + 4$
47669	Solve for x	(2x+1)/2+x/7=13/14	$\frac{2 x + 1}{2} + \frac{x}{7} = \frac{13}{14}$
47670	Solve the Function Operation	f(3) if f(x)=2x+4	$f (3)$ if $f (x) = 2 x + 4$
47671	Find the Second Term	a_n=3(3)^n	$a_{n} = 3 {(3)}^{n}$
47672	Solve for x	4x(x-3)=24	$4 x (x - 3) = 24$
47673	Integrate Using u-Substitution	integral of e^(-2x) with respect to x	$\int e^{- 2 x} d x$
47674	Find the Roots (Zeros)	y=2^x	$y = 2^{x}$
47675	Evaluate Using L'Hospital's Rule	limit as x approaches 3 of (sin(2x-6))/( natural log of 4-x)	$lim_{x \to 3} \frac{\sin (2 x - 6)}{\ln (4 - x)}$
47676	Solve for x	log of x-15-2=- log of x	$\log (x - 15) - 2 = - \log (x)$
47677	Evaluate	cube root of 10^5* fourth root of 10^5	$\sqrt[3]{10^{5}} \cdot \sqrt[4]{10^{5}}$
47678	Simplify	((x^4z)^(1/8))/(x^(-1/2)z^(1/4))	$\frac{{(x^{4} z)}^{\frac{1}{8}}}{x^{- \frac{1}{2}} z^{\frac{1}{4}}}$
47679	Graph	m=undefined	$m = u n d e f i n e d$
47680	Find the Product	(7+k)^3	${(7 + k)}^{3}$
47681	Find the Excluded Values	(2x^2-8)/(x^2-2x-8)	$\frac{2 x^{2} - 8}{x^{2} - 2 x - 8}$
47682	Solve for x	5(3x-14)+2(x+27)=360	$5 (3 x - 14) + 2 (x + 27) = 360$
47683	Evaluate	sec(theta)cot(theta)sin(theta)	$\sec (θ) \cot (θ) \sin (θ)$
47684	Solve for x	x+59+x+51+84=180	$x + 59 + x + 51 + 84 = 180$
47685	Find the Midpoint	P_1=(0.4,0.9) ; , P_2=(1.5,2.1)	$P_{1} = (0.4, 0.9)$ ; , $P_{2} = (1.5, 2.1)$
47686	Evaluate	2*(3+1)+2	$2 \times (3 + 1) + 2$
47687	Find the LCD	(6x)/(x+5) and 1/(5x)	$\frac{6 x}{x + 5}$ and $\frac{1}{5 x}$
47688	Graph	y=1/3x-2 y=1/3x+3	$y = \frac{1}{3} x - 2$ $y = \frac{1}{3} x + 3$
47689	Graph Using a Table of Values	y = cube root of x-2	$y = \sqrt[3]{x - 2}$
47690	Integrate By Parts	integral from 0 to 1 of (r^3)/( square root of 16+r^2) with respect to r	$\int_{0}^{1} \frac{r^{3}}{\sqrt{16 + r^{2}}} d r$
47691	Simplify	7n^2-n^2+54+31	$7 n^{2} - n^{2} + 54 + 31$
47692	Simplify	1/(2a^7)+(4-2a^3)/(a^10)	$\frac{1}{2 a^{7}} + \frac{4 - 2 a^{3}}{a^{10}}$
47693	Simplify	square root of 0-4	$\sqrt{0 - 4}$
47694	Simplify	cot(30 degrees )	$\cot (30 °)$
47695	Simplify	( square root of 5xy^2)/( square root of 36x^3y^6)	$\frac{\sqrt{5 x y^{2}}}{\sqrt{36 x^{3} y^{6}}}$
47696	Evaluate	(0.6)^(x-3)>(0.36)^(-x-1)	${(0.6)}^{x - 3} > {(0.36)}^{- x - 1}$
47697	Evaluate the Integral	integral from 0 to 1 of x^7e^(-x^8) with respect to x	$\int_{0}^{1} x^{7} e^{- x^{8}} d x$
47698	Integrate By Parts	integral from 0 to 2pi of t^2sin(2t) with respect to t	$\int_{0}^{2 π} t^{2} \sin (2 t) d t$
47699	Factor	x^2+2+1/(x^2)	$x^{2} + 2 + \frac{1}{x^{2}}$
47700	Solve for x	cube root of 4x+4+2=0	$\sqrt[3]{4 x + 4} + 2 = 0$