Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18801	Factor	p(x)=x^5-9x^3	$p (x) = x^{5} - 9 x^{3}$
18802	Factor	P(x)=x^6-1	$P (x) = x^{6} - 1$
18803	Factor	P(x)=12x^3+16x^2-x-5	$P (x) = 12 x^{3} + 16 x^{2} - x - 5$
18804	Factor	P(x)=2x^3+27x^2+84x-49	$P (x) = 2 x^{3} + 27 x^{2} + 84 x - 49$
18805	Expand Using Pascal's Triangle	(x^2y-1)^4	${(x^{2} y - 1)}^{4}$
18806	Expand Using Pascal's Triangle	(2x-y)^5	${(2 x - y)}^{5}$
18807	Expand Using Pascal's Triangle	(x-1)^6	${(x - 1)}^{6}$
18808	Expand Using Pascal's Triangle	(x+4)^3	${(x + 4)}^{3}$
18809	Expand Using Pascal's Triangle	(y-z)^5	${(y - z)}^{5}$
18810	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(2,1) , (5,1)	$(2, 1)$ , $(5, 1)$
18811	Determine the Nature of the Roots Using the Discriminant	2x^2-4x+3=0	$2 x^{2} - 4 x + 3 = 0$
18812	Determine the Nature of the Roots Using the Discriminant	4x^2+12x+9=0	$4 x^{2} + 12 x + 9 = 0$
18813	Add	1/(x^2)+1/(x^2+x)	$\frac{1}{x^{2}} + \frac{1}{x^{2} + x}$
18814	Add	-5/(x-2)+(1-2x)/x	$- \frac{5}{x - 2} + \frac{1 - 2 x}{x}$
18815	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-19,-9) , (-5,6)	$(- 19, - 9) (- 5, 6)$
18816	Determine the Nature of the Roots Using the Discriminant	x^2-3x-7	$x^{2} - 3 x - 7$
18817	Determine the Nature of the Roots Using the Discriminant	x^2-6x+1=0	$x^{2} - 6 x + 1 = 0$
18818	Determine the Nature of the Roots Using the Discriminant	12x^2+x-6=0	$12 x^{2} + x - 6 = 0$
18819	Determine the Nature of the Roots Using the Discriminant	2x^2-5x+3=0	$2 x^{2} - 5 x + 3 = 0$
18820	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-3,5) , (2,1)	$(- 3, 5)$ , $(2, 1)$
18821	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-5,5) by, (-5,5)	$(- 5, 5)$ by, $(- 5, 5)$
18822	Determine the Nature of the Roots Using the Discriminant	y=2x^2-3x+4	$y = 2 x^{2} - 3 x + 4$
18823	Determine the Nature of the Roots Using the Discriminant	4x^2+13x+6=0	$4 x^{2} + 13 x + 6 = 0$
18824	Determine the Nature of the Roots Using the Discriminant	64x^2-16x+1=0	$64 x^{2} - 16 x + 1 = 0$
18825	Add	3/x+7/(x-6)	$\frac{3}{x} + \frac{7}{x - 6}$
18826	Add	x/(2x-4)+1/6	$\frac{x}{2 x - 4} + \frac{1}{6}$
18827	Add	cos((13pi)/15)cos(pi/30)+sin((13pi)/15)sin(pi/30)	$\cos (\frac{13 π}{15}) \cos (\frac{π}{30}) + \sin (\frac{13 π}{15}) \sin (\frac{π}{30})$
18828	Add	sin(2x)+sin(6x)	$\sin (2 x) + \sin (6 x)$
18829	Subtract	-3-3/2-3/4-3/8-3/16	$- 3 - \frac{3}{2} - \frac{3}{4} - \frac{3}{8} - \frac{3}{16}$
18830	Subtract	cos((11pi)/12)cos(-pi/4)-sin((11pi)/12)sin(-pi/4)	$\cos (\frac{11 π}{12}) \cos (- \frac{π}{4}) - \sin (\frac{11 π}{12}) \sin (- \frac{π}{4})$
18831	Subtract	csc(x)-sin(x)	$\csc (x) - \sin (x)$
18832	Subtract	x^2-2x^2	$x^{2} - 2 x^{2}$
18833	Subtract	y/x-x/y	$\frac{y}{x} - \frac{x}{y}$
18834	Subtract	1- square root of 3i	$1 - \sqrt{3} i$
18835	Subtract	7i-(13-6i)	$7 i - (13 - 6 i)$
18836	Subtract	5/(2xy)-2/(7y)	$\frac{5}{2 x y} - \frac{2}{7 y}$
18837	Subtract	(2 square root of 2t)/1-(t^2)/(2 square root of 2t)	$\frac{2 \sqrt{2 t}}{1} - \frac{t^{2}}{2 \sqrt{2 t}}$
18838	Subtract	(-3b+7y)/(8b)-(6b-5y)/(8b)	$\frac{- 3 b + 7 y}{8 b} - \frac{6 b - 5 y}{8 b}$
18839	Solve by Graphing	\|3x-2\|=2 square root of x+8	$\| 3 x - 2 \| = 2 \sqrt{x + 8}$
18840	Determine if Continuous	f(x)=x^3	$f (x) = x^{3}$
18841	Determine if Continuous	square root of 22-x- square root of 3x-3	$\sqrt{22 - x} - \sqrt{3 x - 3}$
18842	Solve by Graphing	tan(x)=4/3	$\tan (x) = \frac{4}{3}$
18843	Determine if Continuous	f(x)=((x-1)(x+3)(x-4))/((x+5)^2(x+8))	$f (x) = \frac{(x - 1) (x + 3) (x - 4)}{{(x + 5)}^{2} (x + 8)}$
18844	Solve by Graphing	x^3-4x+2=0	$x^{3} - 4 x + 2 = 0$
18845	Determine if Continuous	f(x)=(x-1)/(9x^2-4)	$f (x) = \frac{x - 1}{9 x^{2} - 4}$
18846	Determine if Continuous	f(x)=(x^2-x-2)/(x^3-2x^2-5x+6)	$f (x) = \frac{x^{2} - x - 2}{x^{3} - 2 x^{2} - 5 x + 6}$
18847	Determine if Continuous	f(x)=(x^3-1)/(x-1)	$f (x) = \frac{x^{3} - 1}{x - 1}$
18848	Determine if Continuous	P(x)=x/(1-x^2)	$P (x) = \frac{x}{1 - x^{2}}$
18849	Determine if Continuous	f(x)=8x^(1/4)	$f (x) = 8 x^{\frac{1}{4}}$
18850	Determine if Linear	f(x)=x^3-x^2+5	$f (x) = x^{3} - x^{2} + 5$
18851	Determine if Linear	natural log of A natural log of B = natural log of A+ natural log of B	$\ln (A) \ln (B) = \ln (A) + \ln (B)$
18852	Determine if Linear	y=1/4*(x^3(x^2-9))	$y = \frac{1}{4} \cdot (x^{3} (x^{2} - 9))$
18853	Determine if True	cos(45)cos(30)=1/2*(cos(pi/12)+cos((5pi)/12))	$\cos (45) \cos (30) = \frac{1}{2} \cdot (\cos (\frac{π}{12}) + \cos (\frac{5 π}{12}))$
18854	Determine if True	log of e=1/( natural log of 10)	$\log (e) = \frac{1}{\ln (10)}$
18855	Determine if True	sin((5/13)/2)=( square root of 1-cos((5/13)/2))/2	$\sin (\frac{\frac{5}{13}}{2}) = \frac{\sqrt{1 - \cos (\frac{\frac{5}{13}}{2})}}{2}$
18856	Determine if True	sin(9.22)^2+cos(9.22)^2=1	$\sin^{2} (9.22) + \cos^{2} (9.22) = 1$
18857	Solve for ?	cos(theta)=1/2	$\cos (θ) = \frac{1}{2}$
18858	Solve by Graphing	(4/5)^x=9^(1-x)	${(\frac{4}{5})}^{x} = 9^{1 - x}$
18859	Determine if True	sin(0)+cos(360)=tan(3/4)	$\sin (0) + \cos (360) = \tan (\frac{3}{4})$
18860	Determine if True	sin(60) = square root of 3cos(60)	$\sin (60) = \sqrt{3} \cos (60)$
18861	Solve by Graphing	(x+1)^(1/2)=x-5	${(x + 1)}^{\frac{1}{2}} = x - 5$
18862	Solve by Graphing	\|2x-3\|=x^2	$\| 2 x - 3 \| = x^{2}$
18863	Solve by Graphing	-2/3x^4-2x^3+5/2x=-2/3x^2+1/2	$- \frac{2}{3} x^{4} - 2 x^{3} + \frac{5}{2} x = - \frac{2}{3} x^{2} + \frac{1}{2}$
18864	Solve by Graphing	16^(-x)=1.682	$16^{- x} = 1.682$
18865	Solve by Graphing	6^(2x)+6^(x+1)-27=0	$6^{2 x} + 6^{x + 1} - 27 = 0$
18866	Solve for y	1/3* log of 27+1/2* log of 64 = log of y	$\frac{1}{3} \cdot \log (27) + \frac{1}{2} \cdot \log (64) = \log (y)$
18867	Solve by Graphing	x^-3=9	$x^{- 3} = 9$
18868	Solve by Graphing	2x^3-x^2-2x+1=0	$2 x^{3} - x^{2} - 2 x + 1 = 0$
18869	Solve by Graphing	\|x^2+x-1\|=1	$\| x^{2} + x - 1 \| = 1$
18870	Solve by Graphing	16s^2*(8s)+1=0	$16 s^{2} \cdot (8 s) + 1 = 0$
18871	Solve by Graphing	5sin(2x)=x^2+1	$5 \sin (2 x) = x^{2} + 1$
18872	Solve by Graphing	log of x/(10^-2)=5.4	$\log (\frac{x}{10^{- 2}}) = 5.4$
18873	Solve by Graphing	12sec(x)^2-16=0	$12 \sec^{2} (x) - 16 = 0$
18874	Solve by Graphing	m=11/7	$m = \frac{11}{7}$
18875	Solve for x	log base 5 of x+8=2	$\log_{5} (x + 8) = 2$
18876	Factor	f(x)=x^3-2x^2-13x-10	$f (x) = x^{3} - 2 x^{2} - 13 x - 10$
18877	Factor	f(x)=x^3+7x^2-49x-55	$f (x) = x^{3} + 7 x^{2} - 49 x - 55$
18878	Factor	f(x)=x^3-1	$f (x) = x^{3} - 1$
18879	Factor	f(x)=x^3-27	$f (x) = x^{3} - 27$
18880	Factor	f(x)=x^3-3x^2-10x	$f (x) = x^{3} - 3 x^{2} - 10 x$
18881	Factor	f(x)=x^2-x-6	$f (x) = x^{2} - x - 6$
18882	Factor	f(x)=x^3+5x^2-73x-77	$f (x) = x^{3} + 5 x^{2} - 73 x - 77$
18883	Factor	f(x)=x^3+5x^2-9x-45	$f (x) = x^{3} + 5 x^{2} - 9 x - 45$
18884	Factor	f(x)=x^3+512	$f (x) = x^{3} + 512$
18885	Factor	f(x)=x^3+3x^2-13x-15	$f (x) = x^{3} + 3 x^{2} - 13 x - 15$
18886	Simplify	(5+2i)-(-3+4i)	$(5 + 2 i) - (- 3 + 4 i)$
18887	Factor	f(x)=x^2-2x-8	$f (x) = x^{2} - 2 x - 8$
18888	Factor	f(x)=x^2-3x+2	$f (x) = x^{2} - 3 x + 2$
18889	Factor	f(x)=2x^3-4x^2-26x+52	$f (x) = 2 x^{3} - 4 x^{2} - 26 x + 52$
18890	Factor	f(x) = square root of 4-3	$f (x) = \sqrt{4 - 3}$
18891	Simplify	((15a^2b^4)/(5a^10b^-3))^3	${(\frac{15 a^{2} b^{4}}{5 a^{10} b^{- 3}})}^{3}$
18892	Factor	f(x)=x^5+x^3-6x	$f (x) = x^{5} + x^{3} - 6 x$
18893	Factor	f(x)=x^6-2x^5-4x^4+8x^3	$f (x) = x^{6} - 2 x^{5} - 4 x^{4} + 8 x^{3}$
18894	Factor	f(x)=x^4-4x^3-7x^2+22x+24	$f (x) = x^{4} - 4 x^{3} - 7 x^{2} + 22 x + 24$
18895	Factor	f(x)=x^4-4x^3+x^2+16x-20	$f (x) = x^{4} - 4 x^{3} + x^{2} + 16 x - 20$
18896	Simplify	(cot(x)*sec(x))/(csc(x))	$\frac{\cot (x) \cdot \sec (x)}{\csc (x)}$
18897	Factor	f(x)=x^3-9x^2+31x-39	$f (x) = x^{3} - 9 x^{2} + 31 x - 39$
18898	Factor	f(x)=x^3-64	$f (x) = x^{3} - 64$
18899	Factor	f(x)=x^3-7x^2+17x-15	$f (x) = x^{3} - 7 x^{2} + 17 x - 15$
18900	Factor	f(x)=x^3-7x^2+25x-39	$f (x) = x^{3} - 7 x^{2} + 25 x - 39$