Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22001	Factor	f(x)=3x^3+2/3x^2-x+3 cube root of x	$f (x) = 3 x^{3} + \frac{2}{3} x^{2} - x + 3 \sqrt[3]{x}$
22002	Factor	f(x)=3 square root of 50(6 square root of 72)(4 square root of 98)*(5 square root of 20)	$f (x) = 3 \sqrt{50} \cdot (6 \sqrt{72}) \cdot (4 \sqrt{98}) \cdot (5 \sqrt{20})$
22003	Factor	f(x)=3-x	$f (x) = 3 - x$
22004	Factor	f(x)=-4(x+1)^2-5	$f (x) = - 4 {(x + 1)}^{2} - 5$
22005	Factor	f(x)=4x^2-64x^4+x^2-11	$f (x) = 4 x^{2} - 64 x^{4} + x^{2} - 11$
22006	Factor	f(x)=-4x^3-8x^2+3x+9	$f (x) = - 4 x^{3} - 8 x^{2} + 3 x + 9$
22007	Factor	f(x)=x^6-64	$f (x) = x^{6} - 64$
22008	Factor	f(x)=7((x+4)/7)	$f (x) = 7 (\frac{x + 4}{7})$
22009	Factor	f(x)=-7x^2+9x+8	$f (x) = - 7 x^{2} + 9 x + 8$
22010	Factor	f(x)=8x^3+1	$f (x) = 8 x^{3} + 1$
22011	Factor	f(x)=-9x^2+5x+7	$f (x) = - 9 x^{2} + 5 x + 7$
22012	Factor	f(x)=x square root of 4-x	$f (x) = x \sqrt{4 - x}$
22013	Factor	f(x)=xsin(x^2)	$f (x) = x \sin (x^{2})$
22014	Factor	g(x)=1/(x^3+2x^2-3x-12)	$g (x) = \frac{1}{x^{3} + 2 x^{2} - 3 x - 12}$
22015	Factor	g(x) = square root of 6-x	$g (x) = \sqrt{6 - x}$
22016	Factor	g(x)=x/(x^2-16)	$g (x) = \frac{x}{x^{2} - 16}$
22017	Factor	g(x)=x^3+2x^2-3x+1	$g (x) = x^{3} + 2 x^{2} - 3 x + 1$
22018	Factor	g(x)=10.383+(3.15)( natural log of 3)	$g (x) = 10.383 + (3.15) (\ln (3))$
22019	Factor	g(x)=10.383+(3.15) natural log of 3	$g (x) = 10.383 + (3.15) \ln (3)$
22020	Factor	g(x)=-8-12x-3x^2	$g (x) = - 8 - 12 x - 3 x^{2}$
22021	Factor	g(x) = log of 2x	$g (x) = \log (2) x$
22022	Factor	h(t)=-16^2+vt+h^0	$h (t) = - 16^{2} + v t + h^{0}$
22023	Factor	h(t)=-16t^2+96t	$h (t) = - 16 t^{2} + 96 t$
22024	Factor	h(x)=(3x-3)^7	$h (x) = {(3 x - 3)}^{7}$
22025	Factor	h(x)=-e^(x^2)+3	$h (x) = - e^{x^{2}} + 3$
22026	Factor	h(z)=-zx+4	$h (z) = - z x + 4$
22027	Factor	m(x)=2/(x^3-4x^2-12x)	$m (x) = \frac{2}{x^{3} - 4 x^{2} - 12 x}$
22028	Factor	p(x)=2x^2-5x-8	$p (x) = 2 x^{2} - 5 x - 8$
22029	Factor	p(x)=2x^3-3x^2-2x	$p (x) = 2 x^{3} - 3 x^{2} - 2 x$
22030	Factor	p(x)=220e^(-0.000375*100)	$p (x) = 220 e^{- 0.000375 \cdot 100}$
22031	Factor	P(x)=37(5)^(-18/6)	$P (x) = 37 {(5)}^{\frac{- 18}{6}}$
22032	Factor	r(x)=(8x^2+x)/(x^2+7)	$r (x) = \frac{8 x^{2} + x}{x^{2} + 7}$
22033	Factor	t(t)=77+(400-77)e^(-0.046t)	$t (t) = 77 + (400 - 77) e^{- 0.046 t}$
22034	Factor	v(x) = square root of x+4	$v (x) = \sqrt{x + 4}$
22035	Factor	y(x)=800e^( natural log of 4/3*4)	$y (x) = 800 e^{\ln (\frac{4}{3}) \cdot 4}$
22036	Find the Number of Possibilities	5 choose 52	${}_{5}C_{52}$
22037	Find the Determinant of the Resulting Matrix	[[4,5,-6],[5,-8,3]]+[[6,0,-2],[1,4,4]]-[[1,9,3],[-12,5,4]]	$[\begin{array}{c} 4 & 5 & - 6 \\ 5 & - 8 & 3 \end{array}] + [\begin{array}{c} 6 & 0 & - 2 \\ 1 & 4 & 4 \end{array}] - [\begin{array}{c} 1 & 9 & 3 \\ - 12 & 5 & 4 \end{array}]$
22038	Find the Determinant of the Resulting Matrix	[[a,a],[-a,-a]][[a,a],[b,b]]	$[\begin{array}{c} a & a \\ - a & - a \end{array}] [\begin{array}{c} a & a \\ b & b \end{array}]$
22039	Evaluate	(9!)/((9-3)!*3!)	$\frac{9!}{(9 - 3)! \cdot 3!}$
22040	Evaluate	(7!)/(4!*3!)	$\frac{7!}{4! \cdot 3!}$
22041	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(2,a) , (5,-3)	$(2, a) (5, - 3)$
22042	Find the Cofactor Matrix	[[1,2,5],[0,4,7],[1,0,6]]	$[\begin{array}{c} 1 & 2 & 5 \\ 0 & 4 & 7 \\ 1 & 0 & 6 \end{array}]$
22043	Find the Number of Possibilities	26 choose 1	${}_{26}C_{1}$
22044	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(0,2) , (1,4)	$(0, 2)$ , $(1, 4)$
22045	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-1,2) , (2,5)	$(- 1, 2) (2, 5)$
22046	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(1,4) , (-7,-4)	$(1, 4)$ , $(- 7, - 4)$
22047	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(1,5) , (2,-1)	$(1, 5) (2, - 1)$
22048	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(2,0) , (4,6)	$(2, 0)$ , $(4, 6)$
22049	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-2,5) , (-6,13)	$(- 2, 5)$ , $(- 6, 13)$
22050	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-2,-7) , (-9,-8)	$(- 2, - 7) (- 9, - 8)$
22051	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(3,2) , (4,-5)	$(3, 2) (4, - 5)$
22052	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-3,3) , (3,2)	$(- 3, 3) (3, 2)$
22053	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(4,0) , (0,-4)	$(4, 0) (0, - 4)$
22054	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(4,1) , (12,6)	$(4, 1)$ , $(12, 6)$
22055	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(4,1) , (-4,-5)	$(4, 1) (- 4, - 5)$
22056	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(4,3) , (2,0)	$(4, 3)$ , $(2, 0)$
22057	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-4,-3.5) , (-2,1.5)	$(- 4, - 3.5) (- 2, 1.5)$
22058	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-4,4) , (7,4)	$(- 4, 4) (7, 4)$
22059	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-4,6) , (2,6)	$(- 4, 6) (2, 6)$
22060	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-48,0) , (0,-8)	$(- 48, 0) (0, - 8)$
22061	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(5,3) , (2,5)	$(5, 3)$ , $(2, 5)$
22062	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-5,9) , (3,0)	$(- 5, 9)$ , $(3, 0)$
22063	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(6,3) , (-8,8)	$(6, 3) (- 8, 8)$
22064	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(6,4) , (4,6)	$(6, 4)$ , $(4, 6)$
22065	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-6,8) , (-9,9)	$(- 6, 8) (- 9, 9)$
22066	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(7,2) , (10,9)	$(7, 2)$ , $(10, 9)$
22067	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(7,-5) , (2,5)	$(7, - 5) (2, 5)$
22068	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-7,9) , (3,9)	$(- 7, 9) (3, 9)$
22069	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-9,-4) , (2,5)	$(- 9, - 4) (2, 5)$
22070	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(3,0) , (0,4)	$p (3, 0)$ , $q (0, 4)$
22071	Determine the Nature of the Roots Using the Discriminant	x^2-5	$x^{2} - 5$
22072	Determine the Nature of the Roots Using the Discriminant	x^2+20x	$x^{2} + 20 x$
22073	Determine the Nature of the Roots Using the Discriminant	-x^2+2x+35	$- x^{2} + 2 x + 35$
22074	Determine the Nature of the Roots Using the Discriminant	x^2+3x+2=0	$x^{2} + 3 x + 2 = 0$
22075	Determine the Nature of the Roots Using the Discriminant	x^2+5x+7=0	$x^{2} + 5 x + 7 = 0$
22076	Determine the Nature of the Roots Using the Discriminant	x^2-18=0	$x^{2} - 18 = 0$
22077	Determine the Nature of the Roots Using the Discriminant	x^2-4	$x^{2} - 4$
22078	Determine the Nature of the Roots Using the Discriminant	x^2-5x+7	$x^{2} - 5 x + 7$
22079	Determine the Nature of the Roots Using the Discriminant	16x^2+25=40x	$16 x^{2} + 25 = 40 x$
22080	Determine the Nature of the Roots Using the Discriminant	-2x^2+3x+4=0	$- 2 x^{2} + 3 x + 4 = 0$
22081	Determine the Nature of the Roots Using the Discriminant	2x^2+4x-3=0	$2 x^{2} + 4 x - 3 = 0$
22082	Determine the Nature of the Roots Using the Discriminant	-2x^2+7x+1=0	$- 2 x^{2} + 7 x + 1 = 0$
22083	Determine the Nature of the Roots Using the Discriminant	2x^2+7x+7	$2 x^{2} + 7 x + 7$
22084	Determine the Nature of the Roots Using the Discriminant	2x^2+x+5=0	$2 x^{2} + x + 5 = 0$
22085	Determine the Nature of the Roots Using the Discriminant	3x^2+6x+2=0	$3 x^{2} + 6 x + 2 = 0$
22086	Determine the Nature of the Roots Using the Discriminant	-5x^2+10x-16	$- 5 x^{2} + 10 x - 16$
22087	Determine the Nature of the Roots Using the Discriminant	-7x^2+8x-4=0	$- 7 x^{2} + 8 x - 4 = 0$
22088	Determine the Nature of the Roots Using the Discriminant	-8x^2+5x-2=0	$- 8 x^{2} + 5 x - 2 = 0$
22089	Determine the Nature of the Roots Using the Discriminant	x(x+3)-2=3x+23	$x (x + 3) - 2 = 3 x + 23$
22090	Add	7/27+5/27	$\frac{7}{27} + \frac{5}{27}$
22091	Add	(1)(0.39)+(-1)(0.61)	$(1) (0.39) + (- 1) (0.61)$
22092	Add	(-1)+4	$(- 1) + 4$
22093	Add	(10)(1/13)+(-4)(12/13)	$(10) (\frac{1}{13}) + (- 4) (\frac{12}{13})$
22094	Add	(12)*2+4	$(12) \cdot 2 + 4$
22095	Add	(-3)(0.3)+(3)(0.5)+(4)(0.2)	$(- 3) (0.3) + (3) (0.5) + (4) (0.2)$
22096	Add	(40)(0.3)+(-4)(0.7)	$(40) (0.3) + (- 4) (0.7)$
22097	Add	(-7)+7(-7)	$(- 7) + 7 (- 7)$
22098	Add	(80)(0.2)+(-7)(0.8)	$(80) (0.2) + (- 7) (0.8)$
22099	Add	0.066666+0.04+0.013333	$0.066666 + 0.04 + 0.013333$
22100	Add	-0.13+0.09	$- 0.13 + 0.09$