Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186601	Simplify	((x^2-16)/(x+6))÷(x+4)	$\frac{x^{2} - 16}{x + 6} \div (x + 4)$
186602	Solve the Inequality for x	\|x+1\|>=3	$\| x + 1 \| \geq 3$
186603	Subtract	Subtract 9x^2-10x+1 from -2x^2+4x-10	Subtract $9 x^{2} - 10 x + 1$ from $- 2 x^{2} + 4 x - 10$
186604	Solve for x	(x+2)/(x^2-4)=1/2	$\frac{x + 2}{x^{2} - 4} = \frac{1}{2}$
186605	Graph	y<x-2 y>=-2x-8	$y < x - 2$ $y \geq - 2 x - 8$
186606	Solve the System of Equations	-6x-2y-z=-17 5x+y-6z=19 -4x-6y-6z=-20	$- 6 x - 2 y - z = - 17$ $5 x + y - 6 z = 19$ $- 4 x - 6 y - 6 z = - 20$
186607	Graph	x+y>3 x+y<5	$x + y > 3$ $x + y < 5$
186608	Find the Domain of the Composition f(g(x))	f(x)=1/(-10x-7) , g(x)=1/(-6x+5)	$f (x) = \frac{1}{- 10 x - 7}$ , $g (x) = \frac{1}{- 6 x + 5}$
186609	Find the Roots (Zeros)	f(x)=-3 square root of -2x-3	$f (x) = - 3 \sqrt{- 2 x - 3}$
186610	Convert to Interval Notation	x<2 or x>4	$x < 2$ or $x > 4$
186611	Evaluate Using the Given Value	6+4/a+b/3 when a=4 and b=3	$6 + \frac{4}{a} + \frac{b}{3}$ when $a = 4$ and $b = 3$
186612	Evaluate the Function	f(x)=-x^3-5x^2+2 at x=-1	$f (x) = - x^{3} - 5 x^{2} + 2$ at $x = - 1$
186613	Solve for x	1-3/8x=0	$1 - \frac{3}{8} x = 0$
186614	Solve for x	x^2(x+2)(x+6)=0	$x^{2} (x + 2) (x + 6) = 0$
186615	Simplify	(4+2i)÷(1+i)	$(4 + 2 i) \div (1 + i)$
186616	Graph	cos(theta)<0 , csc(theta)<0	$\cos (θ) < 0$ , $\csc (θ) < 0$
186617	Simplify	5/( square root of 14-2)	$\frac{5}{\sqrt{14} - 2}$
186618	Simplify	(2/(x^2)-1/2)/((x^2)/2+x)	$\frac{\frac{2}{x^{2}} - \frac{1}{2}}{\frac{x^{2}}{2} + x}$
186619	Solve for x	3x+1+5x=7+15+7x	$3 x + 1 + 5 x = 7 + 15 + 7 x$
186620	Graph	y>=1/3x+3 and 3x-y>2	$y \geq \frac{1}{3} x + 3$ and $3 x - y > 2$
186621	Graph	x^2-x>=6	$x^{2} - x \geq 6$
186622	Simplify	(xy-z)(xy+z)	$(x y - z) (x y + z)$
186623	Solve the System of Equations	y=7x-3 y=-2x^2+1	$y = 7 x - 3$ $y = - 2 x^{2} + 1$
186624	Find the Domain and Range	f(x) = square root of x-7+9	$f (x) = \sqrt{x - 7 + 9}$
186625	Solve for x	log base b of x=2/3 log base b of 27+2 log base b of 2- log base b of 3	$\log_{b} (x) = \frac{2}{3} \log_{b} (27) + 2 \log_{b} (2) - \log_{b} (3)$
186626	Write the Fraction in Simplest Form	2/3+5/6	$\frac{2}{3} + \frac{5}{6}$
186627	Solve for y	y=(1+1/10)^10	$y = {(1 + \frac{1}{10})}^{10}$
186628	Solve for x	7/(x+4)+x/(x-3)=3/(x-3)	$\frac{7}{x + 4} + \frac{x}{x - 3} = \frac{3}{x - 3}$
186629	Solve the System of Equations	y=1/2x+3 2x+y=-2	$y = \frac{1}{2} x + 3$ $2 x + y = - 2$
186630	Find the x and y Intercepts	f(x)=5x^5-17x^4+6x^3	$f (x) = 5 x^{5} - 17 x^{4} + 6 x^{3}$
186631	Find the Domain and Range	y=(x^2)/(x^2+1)	$y = \frac{x^{2}}{x^{2} + 1}$
186632	Solve for r	-7r=-8r+5	$- 7 r = - 8 r + 5$
186633	Find All Complex Solutions	(tan(theta)+1)(cos(theta)-1)=0	$(\tan (θ) + 1) (\cos (θ) - 1) = 0$
186634	Subtract	(-5x^2-2x)-(7x+2)	$(- 5 x^{2} - 2 x) - (7 x + 2)$
186635	Simplify	( cube root of 54x^5)/( cube root of 2x^2)	$\frac{\sqrt[3]{54 x^{5}}}{\sqrt[3]{2 x^{2}}}$
186636	Solve for x	1/4x+2=-5/8x-5	$\frac{1}{4} x + 2 = - \frac{5}{8} x - 5$
186637	Solve for x	k(x)=6x+100	$k (x) = 6 x + 100$
186638	Simplify	5/(2n^2-2n)+(3n)/3	$\frac{5}{2 n^{2} - 2 n} + \frac{3 n}{3}$
186639	Solve the Rational Equation for x	1/(3x)+(4x)/6=1	$\frac{1}{3 x} + \frac{4 x}{6} = 1$
186640	Simplify	((z^2+8z+15)/(z^2+10z+25))÷((z^2+3z)/(z^2+3z-10))	$\frac{z^{2} + 8 z + 15}{z^{2} + 10 z + 25} \div \frac{z^{2} + 3 z}{z^{2} + 3 z - 10}$
186641	Simplify	(-8y^2-9y)-(-8y^3+9y^2-5y)	$(- 8 y^{2} - 9 y) - (- 8 y^{3} + 9 y^{2} - 5 y)$
186642	Graph Using a Table of Values	f(x)=6x	$f (x) = 6 x$
186643	Simplify	(6+3x)/(2/(x^2)+1/x)	$\frac{6 + 3 x}{\frac{2}{x^{2}} + \frac{1}{x}}$
186644	Solve for n	2n-4<3n-6	$2 n - 4 < 3 n - 6$
186645	Graph	F(x)=-x^4-4	$F (x) = - x^{4} - 4$
186646	Multiply	(6y^2+2x^2-5xy)(3x^2-4y^2+2xy)	$(6 y^{2} + 2 x^{2} - 5 x y) (3 x^{2} - 4 y^{2} + 2 x y)$
186647	Find the x and y Intercepts	f(x)=(2x^2-7x+6)/(x^2-8x)	$f (x) = \frac{2 x^{2} - 7 x + 6}{x^{2} - 8 x}$
186648	Simplify	(1- square root of 2)/(1+ square root of 2)	$\frac{1 - \sqrt{2}}{1 + \sqrt{2}}$
186649	Solve the System of Equations	x+y+z=9 x-y-z=-1 x-y+z=21	$x + y + z = 9$ $x - y - z = - 1$ $x - y + z = 21$
186650	Evaluate	(4(5-3)-2(4-8))÷16	$(4 (5 - 3) - 2 (4 - 8)) \div 16$
186651	Rationalize the Denominator	2/( square root of 2- square root of 3)	$\frac{2}{\sqrt{2} - \sqrt{3}}$
186652	Simplify	(27x^12y^-6z^3)^(2/3)*(64x^4y^6z^-2)^(-1/2)	${(27 x^{12} y^{- 6} z^{3})}^{\frac{2}{3}} \cdot {(64 x^{4} y^{6} z^{- 2})}^{- \frac{1}{2}}$
186653	Find the Inverse	\|x-2\|	$\| x - 2 \|$
186654	Simplify	(x^2+xy-2y^2)/(x^3+x^2y)*x/(x^2+3xy+2y^2)	$\frac{x^{2} + x y - 2 y^{2}}{x^{3} + x^{2} y} \cdot \frac{x}{x^{2} + 3 x y + 2 y^{2}}$
186655	Graph	square root of 48y=x	$\sqrt{48 y} = x$
186656	Simplify	y/6-(3x)/4+(3y)/2	$\frac{y}{6} - \frac{3 x}{4} + \frac{3 y}{2}$
186657	Solve for x	(4-5x)(4x-5)=(10x-3)(7-2x)	$(4 - 5 x) (4 x - 5) = (10 x - 3) (7 - 2 x)$
186658	Evaluate	-2(2h+10)+4h	$- 2 (2 h + 10) + 4 h$
186659	Evaluate the Function	h(x)=9-5x of x=3m	$h (x) = 9 - 5 x$ of $x = 3 m$
186660	Evaluate	(2x)/(x+1)+5/(2x)=2	$\frac{2 x}{x + 1} + \frac{5}{2 x} = 2$
186661	Solve for j	9j-6+6j>=3(5j-2)	$9 j - 6 + 6 j \geq 3 (5 j - 2)$
186662	Solve for x	-3/2(1/3x+3)-x=-10-5x	$- \frac{3}{2} (\frac{1}{3} x + 3) - x = - 10 - 5 x$
186663	Factor	-7x^3+6x+x^5	$- 7 x^{3} + 6 x + x^{5}$
186664	Find the Product	(x+y+z)(x+y-z)	$(x + y + z) (x + y - z)$
186665	Solve for r	x=2/3pir^3 for r	$x = \frac{2}{3} π r^{3}$ for $r$
186666	Graph	\|x\|+1>7/2	$\| x \| + 1 > \frac{7}{2}$
186667	Find the x and y Intercepts	f(x)=(3x)/(x^2-x-2)	$f (x) = \frac{3 x}{x^{2} - x - 2}$
186668	Solve for x	(x^2)/4-(5x)/2+6=0	$\frac{x^{2}}{4} - \frac{5 x}{2} + 6 = 0$
186669	Determine if Parallel	y=5x and y=5x-1	$y = 5 x$ and $y = 5 x - 1$
186670	Solve for n	n-2=(10n+4)/2	$n - 2 = \frac{10 n + 4}{2}$
186671	Find the Roots (Zeros)	3x^2=7x+2	$3 x^{2} = 7 x + 2$
186672	Evaluate	-5/12-(-9/3)	$- \frac{5}{12} - (- \frac{9}{3})$
186673	Solve for x	log base x+4 of 3x^2-6x=2	$\log_{x + 4} (3 x^{2} - 6 x) = 2$
186674	Solve for x	(4x-1)(5x+4)-20x^2=18	$(4 x - 1) (5 x + 4) - 20 x^{2} = 18$
186675	Simplify	(3x^2+2x-21)/(-2x^2-2x+12)*(2x^2+25x+63)/(6x^2+7x-49)	$\frac{3 x^{2} + 2 x - 21}{- 2 x^{2} - 2 x + 12} \cdot \frac{2 x^{2} + 25 x + 63}{6 x^{2} + 7 x - 49}$
186676	Factor	a^4z^2-c^6z^4	$a^{4} z^{2} - c^{6} z^{4}$
186677	Graph	(3,-(2pi)/3)	$(3, - \frac{2 π}{3})$
186678	Find the Domain and Range	f^-1(x) = cube root of x+10	$f^{- 1} (x) = \sqrt[3]{x + 10}$
186679	Factor	x^2y-2xy-24y	$x^{2} y - 2 x y - 24 y$
186680	Find the LCM	10 and 8	$10$ and $8$
186681	Simplify	32/( eighth root of 16)	$\frac{32}{\sqrt[8]{16}}$
186682	Find the Exact Value	sec(510 degrees )	$\sec (510 °)$
186683	Graph	f(x)=x+3 if -2<=x<1; 8 if x=1; -x+2 if x>1	$f (x) = {\begin{cases} x + 3 & - 2 \leq x < 1 \\ 8 & x = 1 \\ - x + 2 & x > 1 \end{cases}$
186684	Convert to a Decimal	sin(30)deg	$\sin (30)$ degrees
186685	Rationalize the Denominator	2/(2 square root of 3)	$\frac{2}{2 \sqrt{3}}$
186686	Evaluate	2^x=8^3	$2^{x} = 8^{3}$
186687	Solve for x	(x+1)/x=3y+1	$\frac{x + 1}{x} = 3 y + 1$
186688	Find the Roots (Zeros)	15x^2-3x=5x^2-1	$15 x^{2} - 3 x = 5 x^{2} - 1$
186689	Solve for r	S(1-r)=a-b*r	$S (1 - r) = a - b \cdot r$
186690	Find the Third Term	a_n=((-1)^n)/(n^2)	$a_{n} = \frac{{(- 1)}^{n}}{n^{2}}$
186691	Simplify	q(2+3q)-q(5q-7)	$q (2 + 3 q) - q (5 q - 7)$
186692	Evaluate	-1^2+-1	$- 1^{2} + - 1$
186693	Evaluate	(2pi)/3+(2pi)/3	$\frac{2 π}{3} + \frac{2 π}{3}$
186694	Expand the Logarithmic Expression	log of (x^4)/( cube root of y^2z^2)	$\log (\frac{x^{4}}{\sqrt[3]{y^{2}} z^{2}})$
186695	Solve for x	4^x-2=0	$4^{x} - 2 = 0$
186696	Solve the Inequality for x	(x+6)(x-7)(x^2+4)>=0	$(x + 6) (x - 7) (x^{2} + 4) \geq 0$
186697	Simplify	(x-1/x)/(5/x+5/(x^2))	$\frac{x - \frac{1}{x}}{\frac{5}{x} + \frac{5}{x^{2}}}$
186698	Complete the Square	f(x)=x^2+x-30	$f (x) = x^{2} + x - 30$
186699	Graph	f(x)=e^x and g(x) = natural log of x	$f (x) = e^{x}$ and $g (x) = \ln (x)$
186700	Find the Holes in the Graph	(-2x+8)/(x^2-4x)	$\frac{- 2 x + 8}{x^{2} - 4 x}$