Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
97301	Simplify	(3x^2-8x-3)/(9x^3+3x^2+3x+1)	$\frac{3 x^{2} - 8 x - 3}{9 x^{3} + 3 x^{2} + 3 x + 1}$
97302	Find the Equation Using Two Points	(0,1) , (1,0)	$(0, 1) (1, 0)$
97303	Simplify	(3 square root of 7-5)/( square root of 7+2)	$\frac{3 \sqrt{7} - 5}{\sqrt{7} + 2}$
97304	Simplify	(3 square root of 7-5)/( square root of 7-2)	$\frac{3 \sqrt{7} - 5}{\sqrt{7} - 2}$
97305	Find the Equation Using Two Points	(1/6,-1/3) , (5/6,1)	$(\frac{1}{6}, - \frac{1}{3})$ , $(\frac{5}{6}, 1)$
97306	Find the Equation Using Two Points	(1/4,-1/2) , (3/4,4)	$(\frac{1}{4}, - \frac{1}{2})$ , $(\frac{3}{4}, 4)$
97307	Simplify	(1+7/x)/(1-49/(x^2))	$\frac{1 + \frac{7}{x}}{1 - \frac{49}{x^{2}}}$
97308	Find the Equation Using Two Points	(0,5) , (2,1)	$(0, 5) (2, 1)$
97309	Simplify	1/(x^-4+y^-3)	$\frac{1}{x^{- 4} + y^{- 3}}$
97310	Find the Equation Using Two Points	(0,5) , (2,3)	$(0, 5) (2, 3)$
97311	Find the Equation Using Two Points	(0,5) , (3,320)	$(0, 5) (3, 320)$
97312	Find the Equation Using Two Points	(0,4) , (-3,0)	$(0, 4) (- 3, 0)$
97313	Simplify	(y^2-5y-14)/(y^2+y-2)	$\frac{y^{2} - 5 y - 14}{y^{2} + y - 2}$
97314	Simplify	(y^2-3y-18)/(y^2-5y-24)	$\frac{y^{2} - 3 y - 18}{y^{2} - 5 y - 24}$
97315	Simplify	(y^3-64)/(y-4)	$\frac{y^{3} - 64}{y - 4}$
97316	Find the Equation Using Two Points	(0,4) , (1,5)	$(0, 4) (1, 5)$
97317	Simplify	(z^(5/2)z^(-1/2))/(z^(1/3))	$\frac{z^{\frac{5}{2}} z^{- \frac{1}{2}}}{z^{\frac{1}{3}}}$
97318	Simplify	(1-x^2)/(x^3-1)	$\frac{1 - x^{2}}{x^{3} - 1}$
97319	Simplify	10/( square root of 5)	$\frac{10}{\sqrt{5}}$
97320	Simplify	(10x^2+5x)/(5x)	$\frac{10 x^{2} + 5 x}{5 x}$
97321	Find the Equation Using Two Points	(0,-3) , (5,7)	$(0, - 3) (5, 7)$
97322	Simplify	10/( square root of 10)	$\frac{10}{\sqrt{10}}$
97323	Find the Equation Using Two Points	(0,2) , (5,-2)	$(0, 2) (5, - 2)$
97324	Simplify	121/( square root of 11y)	$\frac{121}{\sqrt{11 y}}$
97325	Simplify	169/( square root of 13y)	$\frac{169}{\sqrt{13 y}}$
97326	Simplify	(6x-18)/(x^2-3x)	$\frac{6 x - 18}{x^{2} - 3 x}$
97327	Simplify	7/(x-3)	$\frac{7}{x - 3}$
97328	Simplify	(8 cube root of 54m^7)/( cube root of 2m)	$\frac{8 \sqrt[3]{54 m^{7}}}{\sqrt[3]{2 m}}$
97329	Simplify	6/( square root of 6)	$\frac{6}{\sqrt{6}}$
97330	Find the Equation Using Two Points	(0,6) , (1,3)	$(0, 6) (1, 3)$
97331	Find the Equation Using Two Points	(0,6) , (2,0)	$(0, 6) (2, 0)$
97332	Simplify	8/( square root of 6- square root of 3)	$\frac{8}{\sqrt{6} - \sqrt{3}}$
97333	Find the Equation Using Two Points	(0,6) , (3,0)	$(0, 6) (3, 0)$
97334	Find the Equation Using Two Points	(0,7) , (5,5)	$(0, 7) (5, 5)$
97335	Simplify	8/( square root of 3x)	$\frac{8}{\sqrt{3 x}}$
97336	Find the Equation Using Two Points	(0,7) , (5,50)	$(0, 7) (5, 50)$
97337	Simplify	(8+5d)/(2d^2+9d-5)	$\frac{8 + 5 d}{2 d^{2} + 9 d - 5}$
97338	Simplify	9/( cube root of 2)	$\frac{9}{\sqrt[3]{2}}$
97339	Simplify	9/( cube root of y)	$\frac{9}{\sqrt[3]{y}}$
97340	Find the Equation Using Two Points	(1,-1) , (2,-2)	$(1, - 1) (2, - 2)$
97341	Simplify	(9z^2+24z+16)/(6z^2+5z-4)	$\frac{9 z^{2} + 24 z + 16}{6 z^{2} + 5 z - 4}$
97342	Simplify	(c+8/(c^2))/(1+2/c)	$\frac{c + \frac{8}{c^{2}}}{1 + \frac{2}{c}}$
97343	Simplify	5/( square root of 27a)	$\frac{5}{\sqrt{27 a}}$
97344	Simplify	5/( square root of 5x)	$\frac{5}{\sqrt{5 x}}$
97345	Find the Equation Using Two Points	(-10,-20) , (1,-9)	$(- 10, - 20) (1, - 9)$
97346	Simplify	(5x^2y+15x^2y^2-xy^2)/(5xy)	$\frac{5 x^{2} y + 15 x^{2} y^{2} - x y^{2}}{5 x y}$
97347	Simplify	(5t-25)/(t^2-25)	$\frac{5 t - 25}{t^{2} - 25}$
97348	Simplify	(4t-4)/(t^2-1)	$\frac{4 t - 4}{t^{2} - 1}$
97349	Simplify	(5 square root of 3-3 square root of 2)/(3 square root of 2-2 square root of 3)	$\frac{5 \sqrt{3} - 3 \sqrt{2}}{3 \sqrt{2} - 2 \sqrt{3}}$
97350	Find the Equation Using Two Points	(-1,5) , (3,-7)	$(- 1, 5) (3, - 7)$
97351	Simplify	(4x^6y^4 square root of 5xy)/(4x^4y^2 square root of 5)	$\frac{4 x^{6} y^{4} \sqrt{5 x y}}{4 x^{4} y^{2} \sqrt{5}}$
97352	Simplify	(3a)/( fifth root of 8a^8b^12)	$\frac{3 a}{\sqrt[5]{8 a^{8} b^{12}}}$
97353	Simplify	(36x^2-12x)/(4x)	$\frac{36 x^{2} - 12 x}{4 x}$
97354	Find the Equation Using Two Points	(1,4) , (3,8)	$(1, 4) (3, 8)$
97355	Simplify	(3n+5)/7	$\frac{3 n + 5}{7}$
97356	Simplify	((x^2-y^2)/(x-y))/(x/(x^2-yx))	$\frac{\frac{x^{2} - y^{2}}{x - y}}{\frac{x}{x^{2} - y x}}$
97357	Simplify	(1/5+1/x)/(1/25-1/(x^2))	$\frac{\frac{1}{5} + \frac{1}{x}}{\frac{1}{25} - \frac{1}{x^{2}}}$
97358	Find the Equation Using Two Points	(-1,4) , (2,5)	$(- 1, 4)$ , $(2, 5)$
97359	Simplify	(9 square root of x)^2	${(9 \sqrt{x})}^{2}$
97360	Find the Equation Using Two Points	(1,2) , (2,3)	$(1, 2) (2, 3)$
97361	Simplify	((x^3)^(1/2))/(x^(7/2))	$\frac{{(x^{3})}^{\frac{1}{2}}}{x^{\frac{7}{2}}}$
97362	Find the Equation Using Two Points	(-1,-2) , (-2,-4)	$(- 1, - 2) (- 2, - 4)$
97363	Find the Equation Using Two Points	(-1,2) , (5,2)	$(- 1, 2) (5, 2)$
97364	Simplify	((8x-56)/(x^2-49))/((x-6)/(x^2+11x+28))	$\frac{\frac{8 x - 56}{x^{2} - 49}}{\frac{x - 6}{x^{2} + 11 x + 28}}$
97365	Find the Equation Using Two Points	(-1,2) , (6,3)	$(- 1, 2) (6, 3)$
97366	Simplify	(a^3-b^3)/(a^2-b^2)	$\frac{a^{3} - b^{3}}{a^{2} - b^{2}}$
97367	Simplify	(d^3-a^3)/(d^2-a^2)	$\frac{d^{3} - a^{3}}{d^{2} - a^{2}}$
97368	Find the Equation Using Two Points	(1,-3) , (-2,4)	$(1, - 3) (- 2, 4)$
97369	Simplify	(2/x+5)/(4/(x^2)-25)	$\frac{\frac{2}{x} + 5}{\frac{4}{x^{2}} - 25}$
97370	Find the Equation Using Two Points	(1,3) , (4,10)	$(1, 3) (4, 10)$
97371	Simplify	(1/(x-2))/(1-1/(x-2))	$\frac{\frac{1}{x - 2}}{1 - \frac{1}{x - 2}}$
97372	Find the Equation Using Two Points	(1,32) , (2,64)	$(1, 32) (2, 64)$
97373	Simplify	( cube root of 14)/( cube root of 7x^2y)	$\frac{\sqrt[3]{14}}{\sqrt[3]{7 x^{2} y}}$
97374	Find the Equation Using Two Points	(-1,4) , (2,-2)	$(- 1, 4) (2, - 2)$
97375	Simplify	( cube root of 2a)/( cube root of 3c)	$\frac{\sqrt[3]{2 a}}{\sqrt[3]{3 c}}$
97376	Simplify	( cube root of 2a)/( cube root of 5c)	$\frac{\sqrt[3]{2 a}}{\sqrt[3]{5 c}}$
97377	Simplify	( cube root of 3)/( cube root of 2x)	$\frac{\sqrt[3]{3}}{\sqrt[3]{2 x}}$
97378	Simplify	( cube root of x^3y^2z^7)/( cube root of xy^4)	$\frac{\sqrt[3]{x^{3} y^{2} z^{7}}}{\sqrt[3]{x y^{4}}}$
97379	Simplify	( cube root of 2x+1)^3	${(\sqrt[3]{2 x + 1})}^{3}$
97380	Find the Equation Using Two Points	(1,10) , (3,40)	$(1, 10)$ , $(3, 40)$
97381	Simplify	( square root of 8x^3)/( square root of 2x)	$\frac{\sqrt{8 x^{3}}}{\sqrt{2 x}}$
97382	Find the Equation Using Two Points	(1,1) , (4,1)	$(1, 1) (4, 1)$
97383	Find the Equation Using Two Points	(1,1) , (8,-3/4)	$(1, 1) (8, - \frac{3}{4})$
97384	Find the Equation Using Two Points	(-5,5) , (-5,5)	$(- 5, 5)$ , $(- 5, 5)$
97385	Simplify	( square root of r)/( square root of r+ square root of s)	$\frac{\sqrt{r}}{\sqrt{r} + \sqrt{s}}$
97386	Simplify	( square root of 32x^2)/( square root of 2x)	$\frac{\sqrt{32 x^{2}}}{\sqrt{2 x}}$
97387	Simplify	( square root of -48)/( square root of 3)	$\frac{\sqrt{- 48}}{\sqrt{3}}$
97388	Find the Equation Using Two Points	(4,5) , (12,8)	$(4, 5) (12, 8)$
97389	Simplify	( square root of 4x)/7	$\frac{\sqrt{4 x}}{7}$
97390	Simplify	( square root of 40xy^3)/( square root of 8x)	$\frac{\sqrt{40 x y^{3}}}{\sqrt{8 x}}$
97391	Find the Equation Using Two Points	(-4,4) , (6,-4)	$(- 4, 4) (6, - 4)$
97392	Simplify	( square root of -40)/( square root of -8)	$\frac{\sqrt{- 40}}{\sqrt{- 8}}$
97393	Simplify	( square root of 3k)/( square root of 8)	$\frac{\sqrt{3 k}}{\sqrt{8}}$
97394	Find the Equation Using Two Points	(-4,-4) , (-8,-5)	$(- 4, - 4) (- 8, - 5)$
97395	Simplify	( square root of 2)/( square root of 10x)	$\frac{\sqrt{2}}{\sqrt{10 x}}$
97396	Simplify	( square root of 28x^5)/( square root of 63x)	$\frac{\sqrt{28 x^{5}}}{\sqrt{63 x}}$
97397	Find the Equation Using Two Points	(-4,-4) , (-8,-3)	$(- 4, - 4)$ , $(- 8, - 3)$
97398	Simplify	( square root of 250x^16)/( square root of 2x)	$\frac{\sqrt{250 x^{16}}}{\sqrt{2 x}}$
97399	Simplify	( square root of 250y^3)/( square root of 10y)	$\frac{\sqrt{250 y^{3}}}{\sqrt{10 y}}$
97400	Simplify	( square root of 25x)/2	$\frac{\sqrt{25 x}}{2}$