Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
38601	Find the Asymptotes	f(x)=-4/(2x+8)-2	$f (x) = - \frac{4}{2 x + 8} - 2$
38602	Divide	(mn^3)/(n^2)	$\frac{m n^{3}}{n^{2}}$
38603	Write in Standard Form	2(4k^2-2k)-3(-6k^2+4)+2k(k-1)	$2 (4 k^{2} - 2 k) - 3 (- 6 k^{2} + 4) + 2 k (k - 1)$
38604	Solve by Graphing	x-3y=3 y=x+3	$x - 3 y = 3$ $y = x + 3$
38605	Identify the Sequence	12 , 36 , 108 , 324 ; dotsdots	$12$ , $36$ , $108$ , $324$ ; dotsdots
38606	Graph	x^3+1=4x^2	$x^{3} + 1 = 4 x^{2}$
38607	Find Amplitude, Period, and Phase Shift	y=1/4sin(x-(2pi)/3)	$y = \frac{1}{4} \sin (x - \frac{2 π}{3})$
38608	Add	(3y^2-19y)/(y^2-25)+(y^2-y)/(y^2-25)	$\frac{3 y^{2} - 19 y}{y^{2} - 25} + \frac{y^{2} - y}{y^{2} - 25}$
38609	Simplify	(6- square root of 14)/(2+ square root of 14)	$\frac{6 - \sqrt{14}}{2 + \sqrt{14}}$
38610	Find the Asymptotes	f(x)=x^3sec(x)	$f (x) = x^{3} \sec (x)$
38611	Simplify	(7x^3+x^2+x)/(x^2+1)	$\frac{7 x^{3} + x^{2} + x}{x^{2} + 1}$
38612	Find the Antiderivative	e^x(1+e^(-x))	$e^{x} (1 + e^{- x})$
38613	Find the Domain	cube root of x^2-9	$\sqrt[3]{x^{2} - 9}$
38614	Expand the Logarithmic Expression	log of (2xy)/(3z^3)	$\log (\frac{2 x y}{3 z^{3}})$
38615	Evaluate the Limit	limit as x approaches 0 from the right of x log of x	$lim_{x \to 0^{+}} x \log (x)$
38616	Factor by Grouping	2x^3-200x	$2 x^{3} - 200 x$
38617	Simplify	2/4+2	$\frac{2}{4} + 2$
38618	Evaluate	2(5+3x)=4(x+4)	$2 (5 + 3 x) = 4 (x + 4)$
38619	Simplify	7x-3y+4z-12x+5y+2z-8y-3z	$7 x - 3 y + 4 z - 12 x + 5 y + 2 z - 8 y - 3 z$
38620	Simplify	square root of 8( square root of 6- square root of 12)	$\sqrt{8} (\sqrt{6} - \sqrt{12})$
38621	Find the Derivative - d/dx	(2 square root of x)/x	$\frac{2 \sqrt{x}}{x}$
38622	Solve the Inequality for x	2x+3<x+x-1	$2 x + 3 < x + x - 1$
38623	Solve the Absolute Value Inequality for z	3\|z+7\|=12	$3 \| z + 7 \| = 12$
38624	Find the Derivative - d/dx	y=tanh((3x+2)^2)^2	$y = \tanh^{2} ({(3 x + 2)}^{2})$
38625	Solve for x	27/24=(3x-21)/(x+13)	$\frac{27}{24} = \frac{3 x - 21}{x + 13}$
38626	Solve for x	3/2 cube root of 5x+9=6	$\frac{3}{2} \sqrt[3]{5 x + 9} = 6$
38627	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+6x^3-21x^2-15x-9 is divided by x-3	Use synthetic division to find the result when $x^{4} + 6 x^{3} - 21 x^{2} - 15 x - 9$ is divided by $x - 3$
38628	Evaluate	tan(x)^2-sin(x)^2	$\tan^{2} (x) - \sin^{2} (x)$
38629	Find the Domain	f(x) = square root of 9- square root of -x	$f (x) = \sqrt{9 - \sqrt{- x}}$
38630	Divide Using Long Polynomial Division	(18a^3+30a^2)/(3a)	$\frac{18 a^{3} + 30 a^{2}}{3 a}$
38631	Find the Inverse	f(x)=((x^5-8)^(1/7))/7	$f (x) = \frac{{(x^{5} - 8)}^{\frac{1}{7}}}{7}$
38632	Solve for a	a^(-1/2)=3	$a^{- \frac{1}{2}} = 3$
38633	Evaluate	15*18+12÷3+9	$15 \cdot 18 + 12 \div 3 + 9$
38634	Simplify	(2x square root of x^2+1)^2	${(2 x \sqrt{x^{2} + 1})}^{2}$
38635	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+13x^2+20x+9 is divided by 2x+9	Use the long division method to find the result when $2 x^{3} + 13 x^{2} + 20 x + 9$ is divided by $2 x + 9$
38636	Graph	2x+y>=8 y-5<3x	$2 x + y \geq 8$ $y - 5 < 3 x$
38637	Solve the Inequality for x	\|x\|>=0	$\| x \| \geq 0$
38638	Solve for x	-x/5-2/5x=2	$- \frac{x}{5} - \frac{2}{5} x = 2$
38639	Solve the Inequality for x	-1<-(-9x-1)-5/2x	$- 1 < - (- 9 x - 1) - \frac{5}{2} x$
38640	Solve the System of Equations	x^2+(y+2)^2=80 x-y=-2	$x^{2} + {(y + 2)}^{2} = 80$ $x - y = - 2$
38641	Evaluate	(1.78)(0.0435*1017)^-3	$(1.78) {(0.0435 \cdot 1017)}^{- 3}$
38642	Solve for n	\|n\|+1=2	$\| n \| + 1 = 2$
38643	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (x^2-1+ natural log of x)/(e^x-e)	$lim_{x \to 1} \frac{x^{2} - 1 + \ln (x)}{e^{x} - e}$
38644	Convert to Radical Form	3xy^(-2/3)	$3 x y^{- \frac{2}{3}}$
38645	Add	(-7x^3+4x^2+3x)+(4x^3+6x^2-13)	$(- 7 x^{3} + 4 x^{2} + 3 x) + (4 x^{3} + 6 x^{2} - 13)$
38646	Solve for x	2 cube root of -2-5x=4	$2 \sqrt[3]{- 2 - 5 x} = 4$
38647	Find the Degree, Leading Term, and Leading Coefficient	-10b^2+8a^2c^2+10a^3b^5	$- 10 b^{2} + 8 a^{2} c^{2} + 10 a^{3} b^{5}$
38648	Find the Derivative - d/dx	cot(e^(2x))	$\cot (e^{2 x})$
38649	Add	2/(x-4)+5/(x^2-16)	$\frac{2}{x - 4} + \frac{5}{x^{2} - 16}$
38650	Solve for x	2/(x+3)=(5-x)/(x+3)	$\frac{2}{x + 3} = \frac{5 - x}{x + 3}$
38651	Solve for x	(2x)/(x-2)-(4x-1)/(3x+2)=(17x+4)/(3x^2-4x-4)	$\frac{2 x}{x - 2} - \frac{4 x - 1}{3 x + 2} = \frac{17 x + 4}{3 x^{2} - 4 x - 4}$
38652	Find the Roots (Zeros)	(2x-5)(x+1)	$(2 x - 5) (x + 1)$
38653	Solve for m	2/3(m+7)=6	$\frac{2}{3} (m + 7) = 6$
38654	Solve the Rational Equation for x	3/x-1/3=1/6	$\frac{3}{x} - \frac{1}{3} = \frac{1}{6}$
38655	Divide	(10/21)÷(-15/7)	$\frac{10}{21} \div (- \frac{15}{7})$
38656	Graph	y=(e^x+e^(-x))/2	$y = \frac{e^{x} + e^{- x}}{2}$
38657	Simplify	x/(3-x)+(4x+7)/(x^2-9)	$\frac{x}{3 - x} + \frac{4 x + 7}{x^{2} - 9}$
38658	Verify the Identity	(csc(-x))/(sec(-x))=-cot(x)	$\frac{\csc (- x)}{\sec (- x)} = - \cot (x)$
38659	Solve for x in Degrees	3tan(x)sin(x)+2sin(x)=0	$3 \tan (x) \sin (x) + 2 \sin (x) = 0$
38660	Find the Integral	x/(x+2)	$\frac{x}{x + 2}$
38661	Solve for a	cube root of 432=a cube root of b	$\sqrt[3]{432} = a \sqrt[3]{b}$
38662	Simplify	(3x^2-4)(x^2-8x+4)	$(3 x^{2} - 4) (x^{2} - 8 x + 4)$
38663	Solve for x	(6x+2)^2+4=28	${(6 x + 2)}^{2} + 4 = 28$
38664	Find the Vertex	2y^2=x-4	$2 y^{2} = x - 4$
38665	Solve for y	3/2y=12x	$\frac{3}{2} y = 12 x$
38666	Write with Rational (Fractional) Exponents	square root of 7^3* square root of 7	$\sqrt{7^{3}} \cdot \sqrt{7}$
38667	Multiply	(x+8)/(x^2+13x+40)*(x^2-25)/(9x^2)	$\frac{x + 8}{x^{2} + 13 x + 40} \cdot \frac{x^{2} - 25}{9 x^{2}}$
38668	Simplify	(x^3-10)(x^6+10x^3+100)	$(x^{3} - 10) (x^{6} + 10 x^{3} + 100)$
38669	Simplify the Radical Expression	y^2 cube root of 16x^11y^10	$y^{2} \sqrt[3]{16 x^{11} y^{10}}$
38670	Find a,b,c	x^2+4y^2+16x-80y+320=0	$x^{2} + 4 y^{2} + 16 x - 80 y + 320 = 0$
38671	Simplify the Radical Expression	eighth root of x^8y^4z^4	$\sqrt[8]{x^{8} y^{4} z^{4}}$
38672	Write the Fraction in Simplest Form	fifth root of (160m^6)/(n^7)	$\sqrt[5]{\frac{160 m^{6}}{n^{7}}}$
38673	Find the Slope	(-3,-16) and (6,29)	$(- 3, - 16)$ and $(6, 29)$
38674	Solve for m	(1/5)/(2/3)=(1/4)/m	$\frac{\frac{1}{5}}{\frac{2}{3}} = \frac{\frac{1}{4}}{m}$
38675	Solve for v	square root of v=-10	$\sqrt{v} = - 10$
38676	Convert to Interval Notation	x>-1/3	$x > - \frac{1}{3}$
38677	Simplify	6(4-v-2v^2)	$6 (4 - v - 2 v^{2})$
38678	Graph	f(x)=-0.5x+5 if x<1; -0.5(x+5) if x>=1	$f (x) = {\begin{cases} - 0.5 x + 5 & x < 1 \\ - 0.5 (x + 5) & x \geq 1 \end{cases}$
38679	Divide	(4+2/x)/(3-2/x)	$\frac{(4 + \frac{2}{x})}{(3 - \frac{2}{x})}$
38680	Convert to Interval Notation	x<2 and x>-4	$x < 2$ and $x > - 4$
38681	Simplify	(-13 square root of 5)*(-4 square root of 7)	$(- 13 \sqrt{5}) \cdot (- 4 \sqrt{7})$
38682	Simplify	2(48/3)^(1/4)	$2 {(\frac{48}{3})}^{\frac{1}{4}}$
38683	Add	3/10+-4/7	$\frac{3}{10} + - \frac{4}{7}$
38684	Solve Using the Quadratic Formula	(2y+1)^2-4y^2=5	${(2 y + 1)}^{2} - 4 y^{2} = 5$
38685	Simplify	x^y*x^y	$x^{y} \cdot x^{y}$
38686	Simplify	x(1-x)^2	$x {(1 - x)}^{2}$
38687	Simplify	(-4x^3y^-1)^3*y^4	${(- 4 x^{3} y^{- 1})}^{3} \cdot y^{4}$
38688	Simplify	(x^2+8x)/(3x^2+3x)-(x^2+2x-6)/(3x^2+3x)	$\frac{x^{2} + 8 x}{3 x^{2} + 3 x} - \frac{x^{2} + 2 x - 6}{3 x^{2} + 3 x}$
38689	Solve for m	5m^2-3=127	$5 m^{2} - 3 = 127$
38690	Find the Exact Value	cos(2pi)^2	$\cos^{2} (2 π)$
38691	Evaluate	tan(22.5 degrees )	$\tan (22.5 °)$
38692	Solve for x	3^(6x)>8^(x-4)	$3^{6 x} > 8^{x - 4}$
38693	Simplify the Radical Expression	3 square root of 10(5 square root of 2-6 square root of 8)	$3 \sqrt{10} (5 \sqrt{2} - 6 \sqrt{8})$
38694	Divide Using Long Polynomial Division	(x^3+3x^2-4)/(x-1)	$\frac{x^{3} + 3 x^{2} - 4}{x - 1}$
38695	Evaluate	(2pi)/(\|4\|)	$\frac{2 π}{\| 4 \|}$
38696	Find All Complex Solutions	square root of x+2+6=5	$\sqrt{x + 2} + 6 = 5$
38697	Find the Asymptotes	2/(x^3-x)	$\frac{2}{x^{3} - x}$
38698	Find the Antiderivative	f(x)=2+sin(x)	$f (x) = 2 + \sin (x)$
38699	Find the Derivative - d/dx	(6x)/pi-4sin(x)^2	$\frac{6 x}{π} - 4 \sin^{2} (x)$
38700	Divide Using Long Polynomial Division	(6x^2-4x-3)/x	$\frac{6 x^{2} - 4 x - 3}{x}$