Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
87001	Determine if True	42=6(7)	$42 = 6 (7)$
87002	Solve by Factoring	k/(k+1)+k/(k-2)=2	$\frac{k}{k + 1} + \frac{k}{k - 2} = 2$
87003	Determine if True	45>45	$45 > 45$
87004	Solve by Factoring	k^2=-4k-4	$k^{2} = - 4 k - 4$
87005	Solve by Factoring	a^4-12a^2+35=0	$a^{4} - 12 a^{2} + 35 = 0$
87006	Determine if True	5(1/5)=1	$5 (\frac{1}{5}) = 1$
87007	Solve by Factoring	a^4-625=0	$a^{4} - 625 = 0$
87008	Determine if True	5(2/4+7/2)+4(2)=28	$5 (\frac{2}{4} + \frac{7}{2}) + 4 (2) = 28$
87009	Solve by Factoring	b^2+b=2	$b^{2} + b = 2$
87010	Solve by Factoring	(b+6)/(4b^2)+3/(2b^2)=(b+4)/(2b^2)	$\frac{b + 6}{4 b^{2}} + \frac{3}{2 b^{2}} = \frac{b + 4}{2 b^{2}}$
87011	Solve by Factoring	m/(m-7)-8=7/(m-7)	$\frac{m}{m - 7} - 8 = \frac{7}{m - 7}$
87012	Solve by Factoring	n^2+2n-15=0	$n^{2} + 2 n - 15 = 0$
87013	Solve by Factoring	(z^2)/6-(3z)/2-27=0	$\frac{z^{2}}{6} - \frac{3 z}{2} - 27 = 0$
87014	Solve by Factoring	( square root of 3x)/( square root of x-2)=2	$\frac{\sqrt{3 x}}{\sqrt{x - 2}} = 2$
87015	Solve by Factoring	1/2+4/(2x)=(x+4)/10	$\frac{1}{2} + \frac{4}{2 x} = \frac{x + 4}{10}$
87016	Determine if True	-5(-4)=20	$- 5 (- 4) = 20$
87017	Solve by Factoring	1/2+4/x=5/6	$\frac{1}{2} + \frac{4}{x} = \frac{5}{6}$
87018	Solve by Factoring	1/2+9/x=5/4	$\frac{1}{2} + \frac{9}{x} = \frac{5}{4}$
87019	Determine if True	5(-5)+3(7)=-4	$5 (- 5) + 3 (7) = - 4$
87020	Solve by Factoring	1/9+1/x=4/9	$\frac{1}{9} + \frac{1}{x} = \frac{4}{9}$
87021	Solve by Factoring	1/(5x)-1/(4x)+1/(3x)=-17/60	$\frac{1}{5 x} - \frac{1}{4 x} + \frac{1}{3 x} = - \frac{17}{60}$
87022	Solve by Factoring	1/(x-5)+1/(x+5)=10/(x^2-25)	$\frac{1}{x - 5} + \frac{1}{x + 5} = \frac{10}{x^{2} - 25}$
87023	Solve by Factoring	1/(x+6)+1/x=1/5	$\frac{1}{x + 6} + \frac{1}{x} = \frac{1}{5}$
87024	Solve by Factoring	1/(x+5)=2/(7x)	$\frac{1}{x + 5} = \frac{2}{7 x}$
87025	Solve by Factoring	1/(x+5)+3/(x+4)=-1/(x^2+9x+20)	$\frac{1}{x + 5} + \frac{3}{x + 4} = \frac{- 1}{x^{2} + 9 x + 20}$
87026	Solve by Factoring	1/(x+3)-2/(3-x)=4/(x^2-9)	$\frac{1}{x + 3} - \frac{2}{3 - x} = \frac{4}{x^{2} - 9}$
87027	Solve by Factoring	1/(x+2)+1/(x-2)=4/(x^2-4)	$\frac{1}{x + 2} + \frac{1}{x - 2} = \frac{4}{x^{2} - 4}$
87028	Solve by Factoring	1/(x+2)-1/(x-2)=0	$\frac{1}{x + 2} - \frac{1}{x - 2} = 0$
87029	Solve by Factoring	1/x=x/9	$\frac{1}{x} = \frac{x}{9}$
87030	Solve by Factoring	1/x=16/(9x)+7	$\frac{1}{x} = \frac{16}{9 x} + 7$
87031	Determine if True	-5+7>42	$- 5 + 7 > 42$
87032	Solve by Factoring	1/pi=pi/16	$\frac{1}{π} = \frac{π}{16}$
87033	Determine if True	5<=10	$5 \leq 10$
87034	Solve by Factoring	1/x-6/(x^2)=-12	$\frac{1}{x} - \frac{6}{x^{2}} = - 12$
87035	Solve by Factoring	15/(x-5)+7=25/(x-5)	$\frac{15}{x - 5} + 7 = \frac{25}{x - 5}$
87036	Solve by Factoring	14/z=9-z	$\frac{14}{z} = 9 - z$
87037	Solve by Factoring	14/(y-7)-2/y=(19y+7)/(y^2-49)	$\frac{14}{y - 7} - \frac{2}{y} = \frac{19 y + 7}{y^{2} - 49}$
87038	Determine if True	5<3	$5 < 3$
87039	Solve by Factoring	10/x+3=(x+9)/(x-4)	$\frac{10}{x} + 3 = \frac{x + 9}{x - 4}$
87040	Solve by Factoring	2/(x+8)=4/x	$\frac{2}{x + 8} = \frac{4}{x}$
87041	Solve by Factoring	2/(x-5)-1/(x+1)=1	$\frac{2}{x - 5} - \frac{1}{x + 1} = 1$
87042	Solve by Factoring	2/x+1/2=5/x	$\frac{2}{x} + \frac{1}{2} = \frac{5}{x}$
87043	Solve by Factoring	2/(3x)+1/4=67/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{67}{6 x} - \frac{1}{3}$
87044	Determine if True	5>=4	$5 \geq 4$
87045	Solve by Factoring	2/5+3/(5x)=(x+5)/10	$\frac{2}{5} + \frac{3}{5 x} = \frac{x + 5}{10}$
87046	Solve by Factoring	2/8=(n+4)/(n-4)	$\frac{2}{8} = \frac{n + 4}{n - 4}$
87047	Determine if True	50=45+0.05	$50 = 45 + 0.05$
87048	Solve by Factoring	2/3*(4^(3x))-5=-2	$\frac{2}{3} \cdot (4^{3 x}) - 5 = - 2$
87049	Solve by Factoring	2/3*(6x+3)=4x+2	$\frac{2}{3} \cdot (6 x + 3) = 4 x + 2$
87050	Solve by Factoring	2/((x-4)(x-2))=1/(x-4)+2/(x-2)	$\frac{2}{(x - 4) (x - 2)} = \frac{1}{x - 4} + \frac{2}{x - 2}$
87051	Determine if True	6(2)+5(0)<=2	$6 (2) + 5 (0) \leq 2$
87052	Solve by Factoring	24/(2x-4)+1/(x-2)=13/2	$\frac{24}{2 x - 4} + \frac{1}{x - 2} = \frac{13}{2}$
87053	Solve by Factoring	28/(x^2-9)+(2x)/(x-3)+6/(x+3)=0	$\frac{28}{x^{2} - 9} + \frac{2 x}{x - 3} + \frac{6}{x + 3} = 0$
87054	Solve by Factoring	36/(x^2-9)-3=(2x)/(x-3)	$\frac{36}{x^{2} - 9} - 3 = \frac{2 x}{x - 3}$
87055	Solve by Factoring	36/(3x-6)+1/(x-2)=13/3	$\frac{36}{3 x - 6} + \frac{1}{x - 2} = \frac{13}{3}$
87056	Solve by Factoring	(-3d)/(d^2-2d-8)+3/(d-4)=-2/(d+2)	$\frac{- 3 d}{d^{2} - 2 d - 8} + \frac{3}{d - 4} = \frac{- 2}{d + 2}$
87057	Solve by Factoring	3/(x^2)-47/x=16	$\frac{3}{x^{2}} - \frac{47}{x} = 16$
87058	Solve by Factoring	3/(2g+8)=3/4	$\frac{3}{2 g + 8} = \frac{3}{4}$
87059	Solve by Factoring	3/(3b+4)=2/(b-4)	$\frac{3}{3 b + 4} = \frac{2}{b - 4}$
87060	Solve by Factoring	3/(x+2)-1/x=1/(5x)	$\frac{3}{x + 2} - \frac{1}{x} = \frac{1}{5 x}$
87061	Solve by Factoring	x^3-4x+4=0	$x^{3} - 4 x + 4 = 0$
87062	Determine if True	-6-3*4>7	$- 6 - 3 \cdot 4 > 7$
87063	Solve by Factoring	x^3-343=0	$x^{3} - 343 = 0$
87064	Solve by Factoring	x^3-2x^2-24x=0	$x^{3} - 2 x^{2} - 24 x = 0$
87065	Solve by Factoring	x^3-14x^2+48x=0	$x^{3} - 14 x^{2} + 48 x = 0$
87066	Solve by Factoring	x^4+12x^2-64=0	$x^{4} + 12 x^{2} - 64 = 0$
87067	Solve by Factoring	x^4+15x^2-16=0	$x^{4} + 15 x^{2} - 16 = 0$
87068	Solve by Factoring	x^4+3x^2-18=0	$x^{4} + 3 x^{2} - 18 = 0$
87069	Solve by Factoring	x^4+18=11x^2	$x^{4} + 18 = 11 x^{2}$
87070	Solve by Factoring	x^3-7x^2-x+7=0	$x^{3} - 7 x^{2} - x + 7 = 0$
87071	Determine if True	7(-4)+2(0)<-26	$7 (- 4) + 2 (0) < - 26$
87072	Solve by Factoring	x^5+8x^2=0	$x^{5} + 8 x^{2} = 0$
87073	Solve by Factoring	x^5-5x^3+4x=0	$x^{5} - 5 x^{3} + 4 x = 0$
87074	Solve by Factoring	x^4-36=0	$x^{4} - 36 = 0$
87075	Solve by Factoring	x^4-65x^2=-64	$x^{4} - 65 x^{2} = - 64$
87076	Solve by Factoring	x^4-19x^2+90=0	$x^{4} - 19 x^{2} + 90 = 0$
87077	Solve by Factoring	x^4-18x^2+81=0	$x^{4} - 18 x^{2} + 81 = 0$
87078	Solve by Factoring	x^4-144=0	$x^{4} - 144 = 0$
87079	Solve by Factoring	x^4-14x^2-32=0	$x^{4} - 14 x^{2} - 32 = 0$
87080	Solve by Factoring	x^4-12x^2=-36	$x^{4} - 12 x^{2} = - 36$
87081	Determine if True	-7+9=-9+7	$- 7 + 9 = - 9 + 7$
87082	Solve by Factoring	x^4-3x^2=-2x^2	$x^{4} - 3 x^{2} = - 2 x^{2}$
87083	Solve by Factoring	x^4-29x^2=-100	$x^{4} - 29 x^{2} = - 100$
87084	Solve by Factoring	x^4+6x^2-27=0	$x^{4} + 6 x^{2} - 27 = 0$
87085	Determine if True	-7<-3	$- 7 < - 3$
87086	Solve by Factoring	(x+4)/(x+3)=1/(x+3)	$\frac{x + 4}{x + 3} = \frac{1}{x + 3}$
87087	Solve by Factoring	(x+3)/(x-3)+x/(x-5)=(x+5)/(x-5)	$\frac{x + 3}{x - 3} + \frac{x}{x - 5} = \frac{x + 5}{x - 5}$
87088	Solve by Factoring	(x+2)/(x+5)=(x^2-31x)/(x^2+2x-15)-(x-5)/(x-3)	$\frac{x + 2}{x + 5} = \frac{x^{2} - 31 x}{x^{2} + 2 x - 15} - \frac{x - 5}{x - 3}$
87089	Solve by Factoring	(x+14)/(4x+6)=3/4	$\frac{x + 14}{4 x + 6} = \frac{3}{4}$
87090	Solve by Factoring	(x+2)/(x^2-9)+(x-3)/(x^2-2x-3)=(2x-3)/(x^2+4x+3)	$\frac{x + 2}{x^{2} - 9} + \frac{x - 3}{x^{2} - 2 x - 3} = \frac{2 x - 3}{x^{2} + 4 x + 3}$
87091	Determine if True	7>=9	$7 \geq 9$
87092	Solve by Factoring	x^6=64	$x^{6} = 64$
87093	Solve by Factoring	z^2+14=9z	$z^{2} + 14 = 9 z$
87094	Solve by Factoring	z/(z-2)+1/(z+2)=8/(z^2-4)	$\frac{z}{z - 2} + \frac{1}{z + 2} = \frac{8}{z^{2} - 4}$
87095	Determine if True	73-17=46	$73 - 17 = 46$
87096	Solve by Factoring	y^3=16y	$y^{3} = 16 y$
87097	Solve by Factoring	y^2+7y=18	$y^{2} + 7 y = 18$
87098	Determine if True	8(1)+3(5)<=-3	$8 (1) + 3 (5) \leq - 3$
87099	Solve by Factoring	25x^2-4=0	$25 x^{2} - 4 = 0$
87100	Determine if True	8(1)+3(5)>=-3	$8 (1) + 3 (5) \geq - 3$