Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
67301	Find the Directrix	y^2-6y+4x+9=0	$y^{2} - 6 y + 4 x + 9 = 0$
67302	Simplify	(3x)/(y^2)*(7y)/(4x)	$\frac{3 x}{y^{2}} \cdot \frac{7 y}{4 x}$
67303	Simplify	(4x-8)/(x^2-2x)	$\frac{4 x - 8}{x^{2} - 2 x}$
67304	Simplify	(4z)/(z-4)+(z+4)/(z+1)	$\frac{4 z}{z - 4} + \frac{z + 4}{z + 1}$
67305	Find the Directrix	y=-1/12(x-2)^2-4	$y = - \frac{1}{12} {(x - 2)}^{2} - 4$
67306	Simplify	(4x+36)/(5x-5)*(9x-9)/(6x+54)	$\frac{4 x + 36}{5 x - 5} \cdot \frac{9 x - 9}{6 x + 54}$
67307	Find the Directrix	y=1/4(x+5)^2+2	$y = \frac{1}{4} {(x + 5)}^{2} + 2$
67308	Simplify	(4x)/20	$\frac{4 x}{20}$
67309	Simplify	(5n+5)/(5n^2+35n-40)+(7n)/(3n)	$\frac{5 n + 5}{5 n^{2} + 35 n - 40} + \frac{7 n}{3 n}$
67310	Simplify	(6a^2-30a)/(a-2)*(a^2+2a-8)/(2a^3-10a^2)	$\frac{6 a^{2} - 30 a}{a - 2} \cdot \frac{a^{2} + 2 a - 8}{2 a^{3} - 10 a^{2}}$
67311	Simplify	5^(-2x)	$5^{- 2 x}$
67312	Find the Directrix	y=7x^2	$y = 7 x^{2}$
67313	Simplify	(59n)/99*80/(33n)	$\frac{59 n}{99} \cdot \frac{80}{33 n}$
67314	Simplify	a^6*b^5	$a^{6} \cdot b^{5}$
67315	Find the Points of Intersection	2x+3y=30 2x+y=26	$2 x + 3 y = 30$ $2 x + y = 26$
67316	Simplify	a^(-n)	$a^{- n}$
67317	Simplify	a^(14/3)*a^(5/6)	$a^{\frac{14}{3}} \cdot a^{\frac{5}{6}}$
67318	Simplify	a^(1/3)*a^(1/6)	$a^{\frac{1}{3}} \cdot a^{\frac{1}{6}}$
67319	Find the Points of Intersection	5x^2+y^2=30 y^2=x^2+16	$5 x^{2} + y^{2} = 30$ $y^{2} = x^{2} + 16$
67320	Simplify	a^2b^0(a^-3)	$a^{2} b^{0} (a^{- 3})$
67321	Simplify	8/(3x^2)-5/(4x)	$\frac{8}{3 x^{2}} - \frac{5}{4 x}$
67322	Simplify	(8x^2-10x+3)/(6x^2+3x-3)	$\frac{8 x^{2} - 10 x + 3}{6 x^{2} + 3 x - 3}$
67323	Find the Points of Intersection	x^2+y^2=25 , x^2+y^2=9	$x^{2} + y^{2} = 25$ , $x^{2} + y^{2} = 9$
67324	Simplify	(8x)/2*(x^5)/(4x^2)	$\frac{8 x}{2} \cdot \frac{x^{5}}{4 x^{2}}$
67325	Simplify	(6x-18)/(x^2-4)*(x^2+5x+6)/(x^2-9)	$\frac{6 x - 18}{x^{2} - 4} \cdot \frac{x^{2} + 5 x + 6}{x^{2} - 9}$
67326	Simplify	64^(1/3)	$64^{\frac{1}{3}}$
67327	Simplify	7/27+1/6	$\frac{7}{27} + \frac{1}{6}$
67328	Simplify	(7a)/(3b)*(4b)/(14a^2)	$\frac{7 a}{3 b} \cdot \frac{4 b}{14 a^{2}}$
67329	Simplify	square root of 2xy^2* square root of 8xy	$\sqrt{2 x y^{2}} \cdot \sqrt{8 x y}$
67330	Find the Points of Intersection	x=2 , y=2x+1	$x = 2$ , $y = 2 x + 1$
67331	Simplify	square root of 2* square root of 7x	$\sqrt{2} \cdot \sqrt{7 x}$
67332	Simplify	square root of 2x- square root of 8x+ square root of 18x	$\sqrt{2 x} - \sqrt{8 x} + \sqrt{18 x}$
67333	Find the Points of Intersection	x-y=2 , 3x-3y=6	$x - y = 2$ , $3 x - 3 y = 6$
67334	Graph	y=2x^2-7x+7	$y = 2 x^{2} - 7 x + 7$
67335	Simplify	square root of 28x+ square root of 63x	$\sqrt{28 x} + \sqrt{63 x}$
67336	Simplify	(2x^2y^44x^2y^43x)/(3x^-3y^2)	$\frac{2 x^{2} y^{4} \cdot 4 x^{2} y^{4} \cdot 3 x}{3 x^{- 3} y^{2}}$
67337	Find the Points of Intersection	y=2x+1 , y=-1/2x+21	$y = 2 x + 1$ , $y = - \frac{1}{2} x + 21$
67338	Simplify	(a-b)(a^2+ab+b^2)	$(a - b) (a^{2} + a b + b^{2})$
67339	Find the Points of Intersection	y=3x+5 , y=-x+3	$y = 3 x + 5$ , $y = - x + 3$
67340	Simplify	(x^6)/(x^4)	$\frac{x^{6}}{x^{4}}$
67341	Simplify	(7x^5y^6)/(28x^15y^-2)	$\frac{7 x^{5} y^{6}}{28 x^{15} y^{- 2}}$
67342	Find the Points of Intersection	y=4-x , 2y=8-2x	$y = 4 - x$ , $2 y = 8 - 2 x$
67343	Simplify	square root of 3x^2* square root of 4x	$\sqrt{3 x^{2}} \cdot \sqrt{4 x}$
67344	Simplify	square root of 54x- square root of 24x	$\sqrt{54 x} - \sqrt{24 x}$
67345	Find the Points of Intersection	y=x^2+5x-2 , y=x+1	$y = x^{2} + 5 x - 2$ , $y = x + 1$
67346	Simplify	square root of 9a^2+ square root of 49b-a+ square root of b	$\sqrt{9 a^{2}} + \sqrt{49 b} - a + \sqrt{b}$
67347	Simplify	square root of 8+ square root of 18	$\sqrt{8} + \sqrt{18}$
67348	Simplify	v((-6)^2)	$v ({(- 6)}^{2})$
67349	Find the Points of Intersection	y=x+7 , 3x+2y=96	$y = x + 7$ , $3 x + 2 y = 96$
67350	Simplify	(2y)^4	${(2 y)}^{4}$
67351	Determine if Linear	(11x+y)/3+5y=6	$\frac{11 x + y}{3} + 5 y = 6$
67352	Determine if Linear	(11x+y)/4+2y=7	$\frac{11 x + y}{4} + 2 y = 7$
67353	Determine if Linear	(2x-y)/5+12y=10	$\frac{2 x - y}{5} + 12 y = 10$
67354	Simplify	e^6	$e^{6}$
67355	Determine if Linear	(5x-y)/2+6y=3	$\frac{5 x - y}{2} + 6 y = 3$
67356	Simplify	d^(3/5)*d^(6/5)	$d^{\frac{3}{5}} \cdot d^{\frac{6}{5}}$
67357	Determine if Linear	(-9+y)^2-y^2=-11x+8	${(- 9 + y)}^{2} - y^{2} = - 11 x + 8$
67358	Simplify	c^(1/3)*c^(7/3)	$c^{\frac{1}{3}} \cdot c^{\frac{7}{3}}$
67359	Simplify	i^1000	$i^{1000}$
67360	Determine if Linear	10x(y+4)=11-10y(9-x)	$10 x (y + 4) = 11 - 10 y (9 - x)$
67361	Simplify	i^123	$i^{123}$
67362	Determine if Linear	11x(y+3)=2-11y(9-x)	$11 x (y + 3) = 2 - 11 y (9 - x)$
67363	Simplify	i^-20	$i^{- 20}$
67364	Determine if Linear	11x(y+8)=5-11y(3-x)	$11 x (y + 8) = 5 - 11 y (3 - x)$
67365	Simplify	i^153	$i^{153}$
67366	Determine if Linear	11x+(y+x)=5	$11 x + (y + x) = 5$
67367	Simplify	m^(2/3)	$m^{\frac{2}{3}}$
67368	Determine if Linear	-11x+3(y+x)=9	$- 11 x + 3 (y + x) = 9$
67369	Simplify	(32x^10)^(-1/5)	${(32 x^{10})}^{- \frac{1}{5}}$
67370	Determine if Linear	-11x+6(y+x)=11	$- 11 x + 6 (y + x) = 11$
67371	Simplify	(32x^25)^(-1/5)	${(32 x^{25})}^{- \frac{1}{5}}$
67372	Simplify	(3m)^(2/5)	${(3 m)}^{\frac{2}{5}}$
67373	Determine if Linear	11x+6xy=8y	$11 x + 6 x y = 8 y$
67374	Simplify	(3x+4y)^2	${(3 x + 4 y)}^{2}$
67375	Determine if Linear	12x+5xy=10y	$12 x + 5 x y = 10 y$
67376	Simplify	(3x-2)^3	${(3 x - 2)}^{3}$
67377	Determine if Linear	2x(y+6)=1-2y(9-x)	$2 x (y + 6) = 1 - 2 y (9 - x)$
67378	Simplify	(4a^2b^3)^2	${(4 a^{2} b^{3})}^{2}$
67379	Determine if Linear	2x+11(y+x)=9	$2 x + 11 (y + x) = 9$
67380	Simplify	(3xy)^3	${(3 x y)}^{3}$
67381	Determine if Linear	2x+12xy=5y	$2 x + 12 x y = 5 y$
67382	Simplify	(4y^2)^3(3y^2)	${(4 y^{2})}^{3} (3 y^{2})$
67383	Determine if Linear	2x+3y=-17	$2 x + 3 y = - 17$
67384	Simplify	(4x^2y)^2	${(4 x^{2} y)}^{2}$
67385	Determine if Linear	2y=-6	$2 y = - 6$
67386	Simplify	(4x^2y^-3)^-2	${(4 x^{2} y^{- 3})}^{- 2}$
67387	Determine if Linear	3x+11xy=8y	$3 x + 11 x y = 8 y$
67388	Simplify	(2y-7)^2	${(2 y - 7)}^{2}$
67389	Determine if Linear	3x+9xy=2y	$3 x + 9 x y = 2 y$
67390	Determine if Linear	4x(y+11)=5-4y(2-x)	$4 x (y + 11) = 5 - 4 y (2 - x)$
67391	Simplify	(2-9i)^2	${(2 - 9 i)}^{2}$
67392	Simplify	(2- square root of 7)(1+2 square root of 7)	$(2 - \sqrt{7}) (1 + 2 \sqrt{7})$
67393	Simplify	(25a^10b^16)^(1/2)	${(25 a^{10} b^{16})}^{\frac{1}{2}}$
67394	Determine if Linear	5x(y+11)=2-5y(6-x)	$5 x (y + 11) = 2 - 5 y (6 - x)$
67395	Simplify	(-3x^2y)^3	${(- 3 x^{2} y)}^{3}$
67396	Determine if Linear	7x+10xy=9y	$7 x + 10 x y = 9 y$
67397	Simplify	(3x^2)^-1	${(3 x^{2})}^{- 1}$
67398	Determine if Linear	8x(y+9)=5-8y(4-x)	$8 x (y + 9) = 5 - 8 y (4 - x)$
67399	Simplify	(3x^2y^2)^3	${(3 x^{2} y^{2})}^{3}$
67400	Determine if Linear	9x(y+2)=1-9y(4-x)	$9 x (y + 2) = 1 - 9 y (4 - x)$