Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
86001	Simplify	square root of (x^6)/25	$\sqrt{\frac{x^{6}}{25}}$
86002	Find the Vertices	((x-8)^2)/81-((y-5)^2)/9=1	$\frac{{(x - 8)}^{2}}{81} - \frac{{(y - 5)}^{2}}{9} = 1$
86003	Simplify	square root of (x^8)/(y^6)	$\sqrt{\frac{x^{8}}{y^{6}}}$
86004	Find the Vertices	((x+8)^2)/16-(y+4)^2=1	$\frac{{(x + 8)}^{2}}{16} - {(y + 4)}^{2} = 1$
86005	Simplify	square root of 5/12	$\sqrt{\frac{5}{12}}$
86006	Simplify	square root of 5/32	$\sqrt{\frac{5}{32}}$
86007	Find the Vertices	((x+5)^2)/49+((y-2)^2)/121=1	$\frac{{(x + 5)}^{2}}{49} + \frac{{(y - 2)}^{2}}{121} = 1$
86008	Simplify	square root of (3x)/28	$\sqrt{\frac{3 x}{28}}$
86009	Simplify	square root of (3x^3)/(16x)	$\sqrt{\frac{3 x^{3}}{16 x}}$
86010	Find the Vertices	((x+2)^2)/16+((y-1)^2)/9=1	$\frac{{(x + 2)}^{2}}{16} + \frac{{(y - 1)}^{2}}{9} = 1$
86011	Simplify	square root of 3/49	$\sqrt{\frac{3}{49}}$
86012	Simplify	square root of 3/(15x)	$\sqrt{\frac{3}{15 x}}$
86013	Find the Quadrant	(-3/5,y)	$(- \frac{3}{5}, y)$
86014	Simplify	square root of 25/144	$\sqrt{\frac{25}{144}}$
86015	Simplify	square root of 27/(m^5)	$\sqrt{\frac{27}{m^{5}}}$
86016	Find the Quadrant	(-5,12)	$(- 5, 12)$
86017	Simplify	square root of 8/(x^2)	$\sqrt{\frac{8}{x^{2}}}$
86018	Find the Quadrant	(-4,-7)	$(- 4, - 7)$
86019	Simplify	square root of 81/121	$\sqrt{\frac{81}{121}}$
86020	Simplify	square root of 81/(x^2)	$\sqrt{\frac{81}{x^{2}}}$
86021	Simplify	square root of a^7	$\sqrt{a^{7}}$
86022	Simplify	square root of b^7	$\sqrt{b^{7}}$
86023	Find the Quadrant	(3,10)	$(3, 10)$
86024	Simplify	square root of m^3n^2	$\sqrt{m^{3} n^{2}}$
86025	Find the Quadrant	(-3,9)	$(- 3, 9)$
86026	Simplify	square root of m^9	$\sqrt{m^{9}}$
86027	Simplify	square root of n^2	$\sqrt{n^{2}}$
86028	Find the Quadrant	(8,-5)	$(8, - 5)$
86029	Simplify	square root of a^3b^5c^3	$\sqrt{a^{3} b^{5} c^{3}}$
86030	Find the Kernel	S([[a],[b],[c]])=[[a-2b-c],[3a-b+2c],[a+b+2c]]	$S ([\begin{array}{c} a \\ b \\ c \end{array}]) = [\begin{array}{c} a - 2 b - c \\ 3 a - b + 2 c \\ a + b + 2 c \end{array}]$
86031	Simplify	square root of (9ab)/(4ab^4)	$\sqrt{\frac{9 a b}{4 a b^{4}}}$
86032	Simplify	square root of x^64	$\sqrt{x^{64}}$
86033	Find the Parabola with Vertex (0,0) and Focus (-4,0)	(0,0) , (-4,0)	$(0, 0)$ , $(- 4, 0)$
86034	Simplify	square root of x^5y^4	$\sqrt{x^{5} y^{4}}$
86035	Find the Parabola with Vertex (0,0) and Focus (-1,0)	(0,0) , (-1,0)	$(0, 0) (- 1, 0)$
86036	Simplify	square root of x^3y^8z^11	$\sqrt{x^{3} y^{8} z^{11}}$
86037	Simplify	square root of x^2y^4	$\sqrt{x^{2} y^{4}}$
86038	Find the Parabola with Vertex (0,-81) and Focus (6,27)	(6,27) , (0,-81)	$(6, 27)$ , $(0, - 81)$
86039	Simplify	square root of u^13	$\sqrt{u^{13}}$
86040	Find the Parabola with Vertex (-2,3) and Focus (-2,2)	(-2,3) , (-2,2)	$(- 2, 3)$ , $(- 2, 2)$
86041	Simplify	square root of t^2+1	$\sqrt{t^{2} + 1}$
86042	Find the Parabola with Vertex (-2,2) and Focus (-2,3)	(-2,3) , (-2,2)	$(- 2, 3)$ , $(- 2, 2)$
86043	Simplify	square root of x^16y^35	$\sqrt{x^{16} y^{35}}$
86044	Find the Parabola with Vertex (6,27) and Focus (0,-81)	(6,27) , (0,-81)	$(6, 27)$ , $(0, - 81)$
86045	Simplify	square root of x^12y^8	$\sqrt{x^{12} y^{8}}$
86046	Find the Parabola with Focus (5,6) and Directrix y=2	(5,6) y=2	$(5, 6)$ $y = 2$
86047	Simplify	square root of seventh root of y	$\sqrt{\sqrt[7]{y}}$
86048	Find the Parabola with Focus (7,0) and Directrix x=-7	(7,0) x=-7	$(7, 0)$ $x = - 7$
86049	Simplify	square root of fifth root of m	$\sqrt{\sqrt[5]{m}}$
86050	Find the Parabola with Focus (-4,17/8) and Directrix y=15/8	(-4,17/8) y=15/8	$(- 4, \frac{17}{8})$ $y = \frac{15}{8}$
86051	Simplify	square root of sixth root of b	$\sqrt{\sqrt[6]{b}}$
86052	Find the Parabola with Focus F(0,8) and Directrix y=-8	(0,8) ; y=-8	$F (0, 8)$ ; $y = - 8$
86053	Simplify	square root of fourth root of x^3	$\sqrt{\sqrt[4]{x^{3}}}$
86054	Find the Parabola with Focus (-7,-7) and Directrix x=-9	(-7,-7) , x=-9	$(- 7, - 7)$ , $x = - 9$
86055	Find the Parabola with Focus (-8,-1) and Directrix y=-4	(-8,-1) y=-4	$(- 8, - 1)$ $y = - 4$
86056	Divide Using Long Polynomial Division	(3x^2+7x-20)/(x+5)	$\frac{3 x^{2} + 7 x - 20}{x + 5}$
86057	Find the Parabola with Focus (2,0) and Directrix x=-2	(2,0) x=-2	$(2, 0)$ $x = - 2$
86058	Divide Using Synthetic Division	(x^3-64)/(x-4)	$\frac{x^{3} - 64}{x - 4}$
86059	Find the Parabola with Focus (-1,-3) and Directrix y=1	(-1,-3) y=1	$(- 1, - 3)$ $y = 1$
86060	Find the Parabola with Focus (1,2) and Directrix y=6	(1,2),y=6	$(1, 2) y = 6$
86061	Divide Using Synthetic Division	(x^5+1)/(x+1)	$\frac{x^{5} + 1}{x + 1}$
86062	Divide Using Synthetic Division	(x^3+7x^2+13x+6)/(x+2)	$\frac{x^{3} + 7 x^{2} + 13 x + 6}{x + 2}$
86063	Find the Parabola with Focus (3,-1) and Directrix y=1	(3,-1) y=1	$(3, - 1)$ $y = 1$
86064	Divide Using Synthetic Division	(5x^2-12x-8)/(x+3)	$\frac{5 x^{2} - 12 x - 8}{x + 3}$
86065	Divide Using Synthetic Division	(3x^2-8x+4)/(x-2)	$\frac{3 x^{2} - 8 x + 4}{x - 2}$
86066	Divide Using Synthetic Division	(x^4-2)÷(x+1)	$(x^{4} - 2) \div (x + 1)$
86067	Divide Using Synthetic Division	(x^5-1)÷(x-1)	$(x^{5} - 1) \div (x - 1)$
86068	Determine if Parallel	-2x=-11-y , 2y=4x+3	$- 2 x = - 11 - y$ , $2 y = 4 x + 3$
86069	Divide Using Synthetic Division	(x^3-3x^2-5x-25)/(x-5)	$\frac{x^{3} - 3 x^{2} - 5 x - 25}{x - 5}$
86070	Divide Using Synthetic Division	(x^3-7x^2-7x+20)/(x+4)	$\frac{x^{3} - 7 x^{2} - 7 x + 20}{x + 4}$
86071	Determine if Parallel	-2x+y=5 , 5y=7x+4	$- 2 x + y = 5$ , $5 y = 7 x + 4$
86072	Divide Using Synthetic Division	(2x^4-3x^3-20x-21)÷(x-3)	$(2 x^{4} - 3 x^{3} - 20 x - 21) \div (x - 3)$
86073	Divide Using Synthetic Division	(4x^3-3x^2+3x-1)÷(x-1)	$(4 x^{3} - 3 x^{2} + 3 x - 1) \div (x - 1)$
86074	Find the Domain	3/x	$\frac{3}{x}$
86075	Determine if Parallel	2x+3y=21 , -6y=4x+1	$2 x + 3 y = 21$ , $- 6 y = 4 x + 1$
86076	Determine if Parallel	-3x+5y=22 , 20y=12x+88	$- 3 x + 5 y = 22$ , $20 y = 12 x + 88$
86077	Find the Domain	(m^2+2m-15)/(3m^2-m)	$\frac{m^{2} + 2 m - 15}{3 m^{2} - m}$
86078	Determine if Parallel	4x+6y=3 6x+9y=7	$4 x + 6 y = 3$ $6 x + 9 y = 7$
86079	Find the Domain	square root of 3x-9	$\sqrt{3 x - 9}$
86080	Find the Domain	square root of 9x^2	$\sqrt{9 x^{2}}$
86081	Determine if Parallel	5x+6y=1 y=-5x+6	$5 x + 6 y = 1$ $y = - 5 x + 6$
86082	Find the Domain	square root of x^16	$\sqrt{x^{16}}$
86083	Determine if Parallel	y=3/4x+1 , y=4/3x+1	$y = \frac{3}{4} x + 1$ , $y = \frac{4}{3} x + 1$
86084	Find the Domain	square root of 2x-1	$\sqrt{2 x - 1}$
86085	Determine if Parallel	y=4x-4 24x-4y=96	$y = 4 x - 4$ $24 x - 4 y = 96$
86086	Find the Domain	x^2-5x+6	$x^{2} - 5 x + 6$
86087	Determine if Parallel	y=2x y=2x-1	$y = 2 x$ $y = 2 x - 1$
86088	Find the Domain	x^2-2x-15	$x^{2} - 2 x - 15$
86089	Determine if Parallel	y=2x+7 Y=2x-7	$y = 2 x + 7$ $Y = 2 x - 7$
86090	Determine if Parallel	y=6x+9 27x-3y=-81	$y = 6 x + 9$ $27 x - 3 y = - 81$
86091	Find the Domain	x/(x-1)	$\frac{x}{x - 1}$
86092	Simplify	12 root of x^11y^13 square root of xy	$\sqrt[12]{x^{11} y^{13}} \sqrt{x y}$
86093	Simplify	- square root of a( square root of a-9 square root of b)	$- \sqrt{a} (\sqrt{a} - 9 \sqrt{b})$
86094	Simplify	square root of x( square root of x- square root of 2)	$\sqrt{x} (\sqrt{x} - \sqrt{2})$
86095	Find the Dimensions	[[6,12],[18,7]]	$[\begin{array}{c} 6 & 12 \\ 18 & 7 \end{array}]$
86096	Find the Dimensions	[[6,12,16],[18,7,10],[9,14,8]]	$[\begin{array}{c} 6 & 12 & 16 \\ 18 & 7 & 10 \\ 9 & 14 & 8 \end{array}]$
86097	Simplify	- square root of r( square root of r-9 square root of s)	$- \sqrt{r} (\sqrt{r} - 9 \sqrt{s})$
86098	Find the Dimensions	[[5,-1,0],[6,2,9],[10,5,1]]	$[\begin{array}{c} 5 & - 1 & 0 \\ 6 & 2 & 9 \\ 10 & 5 & 1 \end{array}]$
86099	Simplify	square root of 88m^3p^2r^5	$\sqrt{88 m^{3} p^{2} r^{5}}$
86100	Determine if Odd, Even, or Neither	1/(9x^3)	$\frac{1}{9 x^{3}}$