Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
29001	Find the Vertex	-1/2x^2+9x-7	$- \frac{1}{2} x^{2} + 9 x - 7$
29002	Solve for x	x-y>2	$x - y > 2$
29003	Find the Vertex	6x-x^2-8	$6 x - x^{2} - 8$
29004	Solve for x	5+\|1-x/2\|=8	$5 + \| 1 - \frac{x}{2} \| = 8$
29005	Solve for x	-3x-2=7	$- 3 x - 2 = 7$
29006	Find the Vertex	x^2-12x-6	$x^{2} - 12 x - 6$
29007	Solve for x	2x<10	$2 x < 10$
29008	Solve for x	\|2x-3\|=5	$\| 2 x - 3 \| = 5$
29009	Solve for x	\|2x+3\|=19	$\| 2 x + 3 \| = 19$
29010	Find the Vertex	x^2+4x+11	$x^{2} + 4 x + 11$
29011	Solve for x	\|x-1\|<5	$\| x - 1 \| < 5$
29012	Solve for x	10/(x-2)=2	$\frac{10}{x - 2} = 2$
29013	Solve for x	8/(x-2)=2	$\frac{8}{x - 2} = 2$
29014	Find the Vertex	3x^2-18x+20	$3 x^{2} - 18 x + 20$
29015	Solve for x	15(x^2-1)>16x	$15 (x^{2} - 1) > 16 x$
29016	Find the Vertex	x^2-7x+10	$x^{2} - 7 x + 10$
29017	Solve for x	x^2-9x+18>0	$x^{2} - 9 x + 18 > 0$
29018	Solve for x	x^2-2x-15>0	$x^{2} - 2 x - 15 > 0$
29019	Solve for x	x^2-2x-15<0	$x^{2} - 2 x - 15 < 0$
29020	Find the Vertex	-7(x-5)^2	$- 7 {(x - 5)}^{2}$
29021	Simplify	3(x-1)	$3 (x - 1)$
29022	Simplify	3x*(3x)	$3 x \cdot (3 x)$
29023	Find the Vertex	2x^2+28x-5	$2 x^{2} + 28 x - 5$
29024	Find the Vertex	-8x^2-40x+3	$- 8 x^{2} - 40 x + 3$
29025	Simplify	3 fourth root of 4x^3* fourth root of 8xy^5	$3 \sqrt[4]{4 x^{3}} \cdot \sqrt[4]{8 x y^{5}}$
29026	Simplify	-3y^0	$- 3 y^{0}$
29027	Simplify	2+5i	$2 + 5 i$
29028	Simplify	2m^2(4m^(3/2))(4m^-2)	$2 m^{2} \cdot (4 m^{\frac{3}{2}}) \cdot (4 m^{- 2})$
29029	Find the Vertex	8x-x^2-7	$8 x - x^{2} - 7$
29030	Simplify	-2a^2(5a^2-2a+5)	$- 2 a^{2} (5 a^{2} - 2 a + 5)$
29031	Find the Vertex	3x^2-24x+50	$3 x^{2} - 24 x + 50$
29032	Simplify	2 fourth root of 5a-6 fourth root of 5a	$2 \sqrt[4]{5 a} - 6 \sqrt[4]{5 a}$
29033	Simplify	5y^2	$5 y^{2}$
29034	Find the Vertex	2x^2+8x-7	$2 x^{2} + 8 x - 7$
29035	Simplify	square root of 6/5	$\sqrt{\frac{6}{5}}$
29036	Simplify	-6(x+4)	$- 6 (x + 4)$
29037	Find the Vertex	3(x+2)^2-4	$3 {(x + 2)}^{2} - 4$
29038	Simplify	4-5i	$4 - 5 i$
29039	Find the Vertex	-8x^2-24x+9	$- 8 x^{2} - 24 x + 9$
29040	Simplify	4x^2-1	$4 x^{2} - 1$
29041	Simplify	4x*x	$4 x \cdot x$
29042	Find the Vertex	(x-12)^2-30.25	${(x - 12)}^{2} - 30.25$
29043	Find the Vertex	-1/2x^2+5x-9	$- \frac{1}{2} x^{2} + 5 x - 9$
29044	Simplify	3x+1	$3 x + 1$
29045	Find the Vertex	-3x^2+12x-11	$- 3 x^{2} + 12 x - 11$
29046	Simplify	-4(-8x-8)	$- 4 (- 8 x - 8)$
29047	Simplify	x(x-5)	$x (x - 5)$
29048	Simplify	sin(0)	$\sin (0)$
29049	Find the Vertex	2x^2-16x+10	$2 x^{2} - 16 x + 10$
29050	Find the Vertex	3(x-1)^2-12	$3 {(x - 1)}^{2} - 12$
29051	Simplify	9x(5x^2)	$9 x (5 x^{2})$
29052	Simplify	7x(9x^2)	$7 x (9 x^{2})$
29053	Find the Vertex	2(x+3)^2-2	$2 {(x + 3)}^{2} - 2$
29054	Simplify	8u(2z)^3	$8 u {(2 z)}^{3}$
29055	Simplify	-8y^3(7y^2-4y-1)	$- 8 y^{3} (7 y^{2} - 4 y - 1)$
29056	Find the Vertex	4x^2+40x+5	$4 x^{2} + 40 x + 5$
29057	Solve for k	18=5k+4k	$18 = 5 k + 4 k$
29058	Solve for k	28-k=7(k-4)	$28 - k = 7 (k - 4)$
29059	Solve for p	-3(p+1)=-18	$- 3 (p + 1) = - 18$
29060	Find the Vertex	8x^2+16x-7	$8 x^{2} + 16 x - 7$
29061	Find the Vertex	-3x^2-24x-49	$- 3 x^{2} - 24 x - 49$
29062	Find the Vertex	-2x^2+12x-22	$- 2 x^{2} + 12 x - 22$
29063	Find the Vertex	-3x^2+12x-14	$- 3 x^{2} + 12 x - 14$
29064	Simplify	(2ab^-1)/(3e^-3d)	$\frac{2 a b^{- 1}}{3 e^{- 3} d}$
29065	Find the Vertex	x^2-5x-24	$x^{2} - 5 x - 24$
29066	Subtract	-2-4	$- 2 - 4$
29067	Find the Vertex	-4x^2-12x+7	$- 4 x^{2} - 12 x + 7$
29068	Multiply	(x+6)(x+7)	$(x + 6) (x + 7)$
29069	Find the Vertex	2x^2+32x+120	$2 x^{2} + 32 x + 120$
29070	Multiply	(4^16)^(1/2)	${(4^{16})}^{\frac{1}{2}}$
29071	Multiply	(3x-8)^2	${(3 x - 8)}^{2}$
29072	Find the Vertex	2x^2+16x+21	$2 x^{2} + 16 x + 21$
29073	Multiply	(6x+5)^2	${(6 x + 5)}^{2}$
29074	Multiply	(4x-1)(4x+1)	$(4 x - 1) (4 x + 1)$
29075	Multiply	(6+ square root of 7)(5+ square root of 7)	$(6 + \sqrt{7}) (5 + \sqrt{7})$
29076	Solve by Graphing	x^3+4x^2+10x+15=0	$x^{3} + 4 x^{2} + 10 x + 15 = 0$
29077	Multiply	(2x-5)(2x+5)	$(2 x - 5) (2 x + 5)$
29078	Solve by Graphing	x^2-6=-x	$x^{2} - 6 = - x$
29079	Solve for x	-10<-2+8x<22	$- 10 < - 2 + 8 x < 22$
29080	Solve by Graphing	x<x^2-x-6	$y < x^{2} - x - 6$
29081	Simplify	(3 square root of x)^2	${(3 \sqrt{x})}^{2}$
29082	Solve by Graphing	-x^2+1=0	$- x^{2} + 1 = 0$
29083	Simplify	( square root of 7x)^3	${(\sqrt{7 x})}^{3}$
29084	Solve by Graphing	1=11x^2+10x	$1 = 11 x^{2} + 10 x$
29085	Simplify	( square root of 5- square root of 3)^2	${(\sqrt{5} - \sqrt{3})}^{2}$
29086	Multiply	6v(2v+3)	$6 v (2 v + 3)$
29087	Simplify	(x^2-7x+12)/(x^2-4x+3)	$\frac{x^{2} - 7 x + 12}{x^{2} - 4 x + 3}$
29088	Solve by Graphing	log base 2 of x = log base 5 of 3+1	$\log_{2} (x) = \log_{5} (3) + 1$
29089	Simplify	square root of 6xy^10	$\sqrt{6 x y^{10}}$
29090	Solve by Graphing	x=g(x+2)	$y = g (x + 2)$
29091	Simplify	( square root of 5x^4y)/( square root of 2x^2y^3)	$\frac{\sqrt{5 x^{4} y}}{\sqrt{2 x^{2} y^{3}}}$
29092	Simplify	( square root of 63xy^3)/( square root of 7y)	$\frac{\sqrt{63 x y^{3}}}{\sqrt{7 y}}$
29093	Simplify	( square root of 144xy)/(2 square root of 2)	$\frac{\sqrt{144 x y}}{2 \sqrt{2}}$
29094	Solve by Graphing	(x-3)^4=0	${(x - 3)}^{4} = 0$
29095	Simplify	( square root of 200x^3y)/( square root of 2xy^5)	$\frac{\sqrt{200 x^{3} y}}{\sqrt{2 x y^{5}}}$
29096	Solve by Graphing	x=x(x+4)	$y = f (x + 4)$
29097	Simplify	( square root of 2)/2	$\frac{\sqrt{2}}{2}$
29098	Solve by Graphing	0.05x^3=2x+150	$0.05 x^{3} = 2 x + 150$
29099	Simplify	(5/x+6)/(25/(x^2)-36)	$\frac{\frac{5}{x} + 6}{\frac{25}{x^{2}} - 36}$
29100	Simplify	4/(1- square root of 3)	$\frac{4}{1 - \sqrt{3}}$