Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185601	Solve for x	5x+1/3(3x+6)>14	$5 x + \frac{1}{3} (3 x + 6) > 14$
185602	Solve for x	x^(1/2)-3x^(1/3)=3x^(1/6)-9	$x^{\frac{1}{2}} - 3 x^{\frac{1}{3}} = 3 x^{\frac{1}{6}} - 9$
185603	Factor	P(x)=x^3-7x+6	$P (x) = x^{3} - 7 x + 6$
185604	Evaluate	3/8+1/8-1/3+1/4	$\frac{3}{8} + \frac{1}{8} - \frac{1}{3} + \frac{1}{4}$
185605	Find the Roots (Zeros)	(x+7)^3(x-2i)(x+2i)=0	${(x + 7)}^{3} (x - 2 i) (x + 2 i) = 0$
185606	Write in Slope-Intercept Form	(-1,3) and (-3,1)	$(- 1, 3)$ and $(- 3, 1)$
185607	Solve for X	16/X=X/4	$\frac{16}{X} = \frac{X}{4}$
185608	Simplify	y+x+y+x	$y + x + y + x$
185609	Find f(g(x))	f(x)=x-3 and g(x)=5x^2-2	$f (x) = x - 3$ and $g (x) = 5 x^{2} - 2$
185610	Solve for m	4m^2-6m=-360	$4 m^{2} - 6 m = - 360$
185611	Solve the Inequality for x	x^2-81>0	$x^{2} - 81 > 0$
185612	Graph	(x^2+1)/(x^3+2)	$\frac{x^{2} + 1}{x^{3} + 2}$
185613	Solve for x	log of 9-x = log of 2x-6	$\log (9 - x) = \log (2 x - 6)$
185614	Find the x and y Intercepts	f(x)=(x^2+9x+8)/(5x^2+33x+18)	$f (x) = \frac{x^{2} + 9 x + 8}{5 x^{2} + 33 x + 18}$
185615	Solve for x	9x^2=-30x-25	$9 x^{2} = - 30 x - 25$
185616	Graph	y<3/4x	$y < \frac{3}{4} x$
185617	Simplify	(5xy^2-3x^2y-2x+3xy)+(3xy^2+4x-5xy+2x^2y)	$(5 x y^{2} - 3 x^{2} y - 2 x + 3 x y) + (3 x y^{2} + 4 x - 5 x y + 2 x^{2} y)$
185618	Simplify	(-xy)^2*(2x^9y^5)^4	${(- x y)}^{2} \cdot {(2 x^{9} y^{5})}^{4}$
185619	Graph	(1, square root of 3)	$(1, \sqrt{3})$
185620	Factor	60ab+48a^2b^3+72a^3b^2	$60 a b + 48 a^{2} b^{3} + 72 a^{3} b^{2}$
185621	Find the Domain and Range	y=1/2x	$y = \frac{1}{2} x$
185622	Solve for x	12(1/2x-1/3)>8-2x	$12 (\frac{1}{2} x - \frac{1}{3}) > 8 - 2 x$
185623	Simplify	(x-5)-(x^2-1)	$(x - 5) - (x^{2} - 1)$
185624	Simplify	6i-(14-i)+(5-3i)	$6 i - (14 - i) + (5 - 3 i)$
185625	Graph	y<=x y>=4-x	$y \leq x$ $y \geq 4 - x$
185626	Multiply	6/2(1+2)	$\frac{6}{2} (1 + 2)$
185627	Solve for x	10/(2x+4)=4/(x+5)	$\frac{10}{2 x + 4} = \frac{4}{x + 5}$
185628	Divide	1/22/3	$\frac{1}{2} \cdot \frac{2}{3}$
185629	Solve for x	3x^2-6=10-x^2	$3 x^{2} - 6 = 10 - x^{2}$
185630	Simplify	1/2y^2(6x+2y+12x-2y)	$\frac{1}{2} y^{2} (6 x + 2 y + 12 x - 2 y)$
185631	Multiply	(3x-5)(x+2)(x+1)	$(3 x - 5) (x + 2) (x + 1)$
185632	Simplify	(8x^-4y^-8)/(-2xy^5)	$\frac{8 x^{- 4} y^{- 8}}{- 2 x y^{5}}$
185633	Graph	y=x^2+4,x>=2; -x+4,x>2	$y = {\begin{cases} x^{2} + 4, x \geq 2 \\ - x + 4, x > 2 \end{cases}$
185634	Solve for θ	2cos(theta)=1	$2 \cos (θ) = 1$
185635	Divide	(6/9)÷(2/5)	$\frac{6}{9} \div \frac{2}{5}$
185636	Solve the System of Inequalities	9+2b<7 or 7-5b<-8	$9 + 2 b < 7$ or $7 - 5 b < - 8$
185637	Write in Standard Form	y=(x+10)^2-7	$y = {(x + 10)}^{2} - 7$
185638	Find the Domain and Range	f^-1(x) = square root of x+1	$f^{- 1} (x) = \sqrt{x + 1}$
185639	Solve for x	g+cx=yx	$g + c x = y x$
185640	Solve for x	(x^2+1)=0	$(x^{2} + 1) = 0$
185641	Simplify	(-i)+(6i)	$(- i) + (6 i)$
185642	Find the Exact Value	2/3-1	$\frac{2}{3} - 1$
185643	Solve for x	x-4(x+1)=-3(x+1)+1	$x - 4 (x + 1) = - 3 (x + 1) + 1$
185644	Find the Domain and Range	y=4x-1/5	$y = 4 x - \frac{1}{5}$
185645	Solve the Inequality for x	5x-(13-x)>=9x-7	$5 x - (13 - x) \geq 9 x - 7$
185646	Solve the Inequality for m	-3(m-4)<6	$- 3 (m - 4) < 6$
185647	Evaluate	8x-4+3x=7x+x+14	$8 x - 4 + 3 x = 7 x + x + 14$
185648	Find the x and y Intercepts	f(x)=(x+6)(5x^2+2)(x-3)	$f (x) = (x + 6) (5 x^{2} + 2) (x - 3)$
185649	Evaluate	(20^2)÷(3(5-9)^2+2)	$20^{2} \div (3 {(5 - 9)}^{2} + 2)$
185650	Solve for z	\|z\|=0	$\| z \| = 0$
185651	Solve the System of Equations	3x-4y=12 1/3x-4/9y=4/3	$3 x - 4 y = 12$ $\frac{1}{3} x - \frac{4}{9} y = \frac{4}{3}$
185652	Solve for z	8(z+6)=4(2z+12)	$8 (z + 6) = 4 (2 z + 12)$
185653	Find the Holes in the Graph	(-3x^2-18x-15)/(2x^2+9x-5)	$\frac{- 3 x^{2} - 18 x - 15}{2 x^{2} + 9 x - 5}$
185654	Solve for x	-(x-9)-(8-x)=x	$- (x - 9) - (8 - x) = x$
185655	Simplify	(2/(x-3)-3/x)/(3/(x-3))	$\frac{\frac{2}{x - 3} - \frac{3}{x}}{\frac{3}{x - 3}}$
185656	Solve for s	-7(s+2)-12=37	$- 7 (s + 2) - 12 = 37$
185657	Evaluate	(f*g)(-1)	$(f \cdot g) (- 1)$
185658	Solve the System of Inequalities	n+1<=-3 or -4n<-8	$n + 1 \leq - 3$ or $- 4 n < - 8$
185659	Solve the Inequality for x	(2x+5)(2x-3)>=3x-12	$(2 x + 5) (2 x - 3) \geq 3 x - 12$
185660	Find the Product	(4+x)^2	${(4 + x)}^{2}$
185661	Find All Complex Solutions	x^2=28	$x^{2} = 28$
185662	Simplify	((x-4)/3+1/x)/(1-x/3)	$\frac{\frac{x - 4}{3} + \frac{1}{x}}{1 - \frac{x}{3}}$
185663	Evaluate	40% of 50	$40 %$ of $50$
185664	Graph	A(x)=-x(x-80)	$A (x) = - x (x - 80)$
185665	Evaluate	35% of 60	$35 %$ of $60$
185666	Solve the Absolute Value Inequality for x	\|x\|>11	$\| x \| > 11$
185667	Solve for c	a=a/b+c	$a = \frac{a}{b} + c$
185668	Solve the System of Equations	y=5x-4 y=5x-5	$y = 5 x - 4$ $y = 5 x - 5$
185669	Evaluate	cos(pi/6)^2-sin(pi/6)^2	$\cos^{2} (\frac{π}{6}) - \sin^{2} (\frac{π}{6})$
185670	Simplify the Radical Expression	fifth root of 4* square root of 2	$\sqrt[5]{4} \cdot \sqrt{2}$
185671	Evaluate the Function	q(p)=\|p+3\|+3 when p=-4	$q (p) = \| p + 3 \| + 3$ when $p = - 4$
185672	Write in Slope-Intercept Form	x+2y>6	$x + 2 y > 6$
185673	Evaluate	(4 fourth root of y^5)^(1/2)	${(4 \sqrt[4]{y^{5}})}^{\frac{1}{2}}$
185674	Simplify	(2y+1)^2-4y^2+2	${(2 y + 1)}^{2} - 4 y^{2} + 2$
185675	Solve for z	(2z-3)^(2/5)=(3z)^(1/5)	${(2 z - 3)}^{\frac{2}{5}} = {(3 z)}^{\frac{1}{5}}$
185676	Graph	2x-y>0	$2 x - y > 0$
185677	Solve the Absolute Value Inequality for b	\|b-8\|+10>22	$\| b - 8 \| + 10 > 22$
185678	Solve for θ	2cos(3theta)=1	$2 \cos (3 θ) = 1$
185679	Solve for x	5-3x+9=4(x-8)-3	$5 - 3 x + 9 = 4 (x - 8) - 3$
185680	Find the Exact Value	(3^2)^2	${(3^{2})}^{2}$
185681	Find the Holes in the Graph	(x^3-9x)/(3x^2-6x-9)	$\frac{x^{3} - 9 x}{3 x^{2} - 6 x - 9}$
185682	Graph	y = square root of 1/2x+5	$y = \sqrt{\frac{1}{2} x} + 5$
185683	Graph	x+y<=3 and x>=1	$x + y \leq 3$ and $x \geq 1$
185684	Solve the Inequality for x	4(x+1)<2x+3	$4 (x + 1) < 2 x + 3$
185685	Factor	(x+3)^2-8(x+3)+16	${(x + 3)}^{2} - 8 (x + 3) + 16$
185686	Solve for x	-160=6x-8(5x+3)	$- 160 = 6 x - 8 (5 x + 3)$
185687	Solve for B	A=4/7(B+C)	$A = \frac{4}{7} (B + C)$
185688	Solve for x	7^-2=x	$7^{- 2} = x$
185689	Solve for t	2^t = square root of 10	$2^{t} = \sqrt{10}$
185690	Divide	(32a^7b^5+48a^6b^4-a^4b^3)/(8ab^3)	$\frac{32 a^{7} b^{5} + 48 a^{6} b^{4} - a^{4} b^{3}}{8 a b^{3}}$
185691	Write in Standard Form	(t+1)^2+(t-8)^2=45	${(t + 1)}^{2} + {(t - 8)}^{2} = 45$
185692	Simplify	(5/a+1)/(a/5-5/a)	$\frac{\frac{5}{a} + 1}{\frac{a}{5} - \frac{5}{a}}$
185693	Solve the Inequality for x	7x-(3x-4)>=2(x-6)	$7 x - (3 x - 4) \geq 2 (x - 6)$
185694	Find All Complex Solutions	y/(y-4)-4/(y+4)=32/(y^2-16)	$\frac{y}{y - 4} - \frac{4}{y + 4} = \frac{32}{y^{2} - 16}$
185695	Solve for x	3^(2x)=g^(3x-4)	$3^{2 x} = g^{3 x - 4}$
185696	Simplify	(x/4-1/x)/(x/2+1)	$\frac{\frac{x}{4} - \frac{1}{x}}{\frac{x}{2} + 1}$
185697	Graph	2x-y<=8 x+y<=5 x>=0 y>=0	$2 x - y \leq 8$ $x + y \leq 5$ $x \geq 0$ $y \geq 0$
185698	Evaluate the Function	f(x)=1/4x for x=-5	$f (x) = \frac{1}{4} x$ for $x = - 5$
185699	Find the Holes in the Graph	f(x)=(x^2+4x)/(x^2+3x-4)	$f (x) = \frac{x^{2} + 4 x}{x^{2} + 3 x - 4}$
185700	Solve for w	9=lw	$9 = l w$