Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
96101	Find the Function Rule	table[[x,y],[0,89],[1,55],[2,34]]	$\begin{array}{c} x & y \\ 0 & 89 \\ 1 & 55 \\ 2 & 34 \end{array}$
96102	Simplify	(t^2)/(t-4)+16/(4-t)	$\frac{t^{2}}{t - 4} + \frac{16}{4 - t}$
96103	Find the Function Rule	table[[x,y],[0,-1],[1,1],[2,3],[3,5],[4,7],[5,9]]	$\begin{array}{c} x & y \\ 0 & - 1 \\ 1 & 1 \\ 2 & 3 \\ 3 & 5 \\ 4 & 7 \\ 5 & 9 \end{array}$
96104	Simplify	(x^10)/(x^4)	$\frac{x^{10}}{x^{4}}$
96105	Find the Function Rule	table[[x,y],[6,6],[3,8],[9,12]]	$\begin{array}{c} x & y \\ 6 & 6 \\ 3 & 8 \\ 9 & 12 \end{array}$
96106	Simplify	(x^10)/(x^8)	$\frac{x^{10}}{x^{8}}$
96107	Simplify	(x^-1)/x	$\frac{x^{- 1}}{x}$
96108	Find the Function Rule	table[[x,y],[1,4],[3,12],[5,20]]	$\begin{array}{c} x & y \\ 1 & 4 \\ 3 & 12 \\ 5 & 20 \end{array}$
96109	Solve for y	square root of 2y-5+4=8	$\sqrt{2 y - 5} + 4 = 8$
96110	Simplify	(x^2-y^2)/((xy)/(1/y-1/x))	$\frac{x^{2} - y^{2}}{\frac{x y}{\frac{1}{y} - \frac{1}{x}}}$
96111	Find the Function Rule	table[[x,y],[0,0],[1,4.5],[2,20]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 4.5 \\ 2 & 20 \end{array}$
96112	Simplify	(w^2-5w-24)/(w+1)*(w^2-6w-7)/(w+3)	$\frac{w^{2} - 5 w - 24}{w + 1} \cdot \frac{w^{2} - 6 w - 7}{w + 3}$
96113	Find the Function Rule	table[[x,y],[-8,0],[0,-8],[8,-16]]	$\begin{array}{c} x & y \\ - 8 & 0 \\ 0 & - 8 \\ 8 & - 16 \end{array}$
96114	Find the Function Rule	table[[x,f(x)],[0,0],[3,6],[4,8]]	$\begin{array}{c} x & f (x) \\ 0 & 0 \\ 3 & 6 \\ 4 & 8 \end{array}$
96115	Simplify	(x^2+9)/(x-3)-(6x)/(x-3)	$\frac{x^{2} + 9}{x - 3} - \frac{6 x}{x - 3}$
96116	Find the Function Rule	table[[x,y],[4,5],[6,6],[8,7]]	$\begin{array}{c} x & y \\ 4 & 5 \\ 6 & 6 \\ 8 & 7 \end{array}$
96117	Find the Function Rule	table[[x,y],[2,4],[6,12],[8,24]]	$\begin{array}{c} x & y \\ 2 & 4 \\ 6 & 12 \\ 8 & 24 \end{array}$
96118	Simplify	(x^2-2)/12+x/6	$\frac{x^{2} - 2}{12} + \frac{x}{6}$
96119	Find the Function Rule	table[[x,y],[12.5,5],[14.5,10],[16.5,15]]	$\begin{array}{c} x & y \\ 12.5 & 5 \\ 14.5 & 10 \\ 16.5 & 15 \end{array}$
96120	Simplify	(x^2-2x)/(x^2+2x+1)*(x^2+4x+3)/(x^2+3x)	$\frac{x^{2} - 2 x}{x^{2} + 2 x + 1} \cdot \frac{x^{2} + 4 x + 3}{x^{2} + 3 x}$
96121	Find the Function Rule	table[[x,y],[3,1],[7,2],[11,3],[18,5]]	$\begin{array}{c} x & y \\ 3 & 1 \\ 7 & 2 \\ 11 & 3 \\ 18 & 5 \end{array}$
96122	Simplify	(x^2+2x+1)/(x^2-1)*(x^2+3x+2)/(x^2+4x+4)	$\frac{x^{2} + 2 x + 1}{x^{2} - 1} \cdot \frac{x^{2} + 3 x + 2}{x^{2} + 4 x + 4}$
96123	Find the Function Rule	table[[x,y],[2,5],[4,10],[6,15]]	$\begin{array}{c} x & y \\ 2 & 5 \\ 4 & 10 \\ 6 & 15 \end{array}$
96124	Find the Function Rule	table[[x,y],[0,0],[3,6],[4,8]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 3 & 6 \\ 4 & 8 \end{array}$
96125	Simplify	\|6-2i\|	$\| 6 - 2 i \|$
96126	Find the Function Rule	table[[x,y],[0.5,1],[2.1,4.2],[3.5,7]]	$\begin{array}{c} x & y \\ 0.5 & 1 \\ 2.1 & 4.2 \\ 3.5 & 7 \end{array}$
96127	Simplify	\|8-6i\|	$\| 8 - 6 i \|$
96128	Simplify	(1-25/(x^2))/(1+5/x)	$\frac{1 - \frac{25}{x^{2}}}{1 + \frac{5}{x}}$
96129	Find the Function Rule	table[[x,y],[-7,-11],[-1,1],[3,9]]	$\begin{array}{c} x & y \\ - 7 & - 11 \\ - 1 & 1 \\ 3 & 9 \end{array}$
96130	Simplify	(1-3/(x+6))/(9/(x+6)+x)	$\frac{1 - \frac{3}{x + 6}}{\frac{9}{x + 6} + x}$
96131	Find the Function Rule	table[[x,y],[1,2],[3,4],[5,6]]	$\begin{array}{c} x & y \\ 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{array}$
96132	Find the Function Rule	table[[x,y],[1,2],[2,8],[3,32]]	$\begin{array}{c} x & y \\ 1 & 2 \\ 2 & 8 \\ 3 & 32 \end{array}$
96133	Simplify	(y^(1/3))/(y^(1/2)y^(-3/2))	$\frac{y^{\frac{1}{3}}}{y^{\frac{1}{2}} y^{- \frac{3}{2}}}$
96134	Simplify	(y^(1/9))/(y^(1/18))	$\frac{y^{\frac{1}{9}}}{y^{\frac{1}{18}}}$
96135	Find the Function Rule	table[[x,y],[2,-1],[8,-1],[10,-1]]	$\begin{array}{c} x & y \\ 2 & - 1 \\ 8 & - 1 \\ 10 & - 1 \end{array}$
96136	Simplify	(y^(1/5))/(y^(1/10))	$\frac{y^{\frac{1}{5}}}{y^{\frac{1}{10}}}$
96137	Simplify	(y^(9/8))/(y^(5/8))	$\frac{y^{\frac{9}{8}}}{y^{\frac{5}{8}}}$
96138	Find the Function Rule	table[[x,y],[0,5],[1,45],[2,405]]	$\begin{array}{c} x & y \\ 0 & 5 \\ 1 & 45 \\ 2 & 405 \end{array}$
96139	Simplify	(z^(-1/4)z^(3/2))/(z^(1/3))	$\frac{z^{- \frac{1}{4}} z^{\frac{3}{2}}}{z^{\frac{1}{3}}}$
96140	Simplify	(y^2-81)/(y^2)*(y^2-9y)/(y^2+y-90)	$\frac{y^{2} - 81}{y^{2}} \cdot \frac{y^{2} - 9 y}{y^{2} + y - 90}$
96141	Find the Function Rule	table[[x,y],[0,0],[1,41],[2,164],[3,369],[4,656],[5,1025]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 41 \\ 2 & 164 \\ 3 & 369 \\ 4 & 656 \\ 5 & 1025 \end{array}$
96142	Simplify	((x+5)/x-8/(x-1))/((x+1)/x+(x+1)/(x-1))	$\frac{\frac{x + 5}{x} - \frac{8}{x - 1}}{\frac{x + 1}{x} + \frac{x + 1}{x - 1}}$
96143	Simplify	((x-3)/x--8/(x-1))/((x+1)/x+(x+1)/(x-1))	$\frac{\frac{x - 3}{x} - \frac{- 8}{x - 1}}{\frac{x + 1}{x} + \frac{x + 1}{x - 1}}$
96144	Simplify	(x^-5)/x	$\frac{x^{- 5}}{x}$
96145	Find the Function Rule	table[[x,y],[14,-5],[21,-3],[28,-1]]	$\begin{array}{c} x & y \\ 14 & - 5 \\ 21 & - 3 \\ 28 & - 1 \end{array}$
96146	Simplify	(x^8)/(2y)*(5y^2)/(x^3)	$\frac{x^{8}}{2 y} \cdot \frac{5 y^{2}}{x^{3}}$
96147	Find the Function Rule	table[[x,y],[2,11],[4,23],[5,30]]	$\begin{array}{c} x & y \\ 2 & 11 \\ 4 & 23 \\ 5 & 30 \end{array}$
96148	Simplify	(x^3-27)/(x^2-9)	$\frac{x^{3} - 27}{x^{2} - 9}$
96149	Find the Function Rule	table[[x,y],[1,-6],[2,-4],[3,-2]]	$\begin{array}{c} x & y \\ 1 & - 6 \\ 2 & - 4 \\ 3 & - 2 \end{array}$
96150	Simplify	(x^30)/(x^-10)	$\frac{x^{30}}{x^{- 10}}$
96151	Find the Function Rule	table[[x,y],[2,-6.6],[3,-9.9],[4,-13.2]]	$\begin{array}{c} x & y \\ 2 & - 6.6 \\ 3 & - 9.9 \\ 4 & - 13.2 \end{array}$
96152	Solve for x	(x-4)^(2/3)=9	${(x - 4)}^{\frac{2}{3}} = 9$
96153	Simplify	(x^2-9x+14)/(x^2-5x-14)	$\frac{x^{2} - 9 x + 14}{x^{2} - 5 x - 14}$
96154	Find the Function Rule	table[[x,y],[0,0],[1,4],[2,16],[3,36],[4,64]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 4 \\ 2 & 16 \\ 3 & 36 \\ 4 & 64 \end{array}$
96155	Simplify	(x^2-3x-4)/(x^2-3x-18)*(x-6)/(x+1)	$\frac{x^{2} - 3 x - 4}{x^{2} - 3 x - 18} \cdot \frac{x - 6}{x + 1}$
96156	Find the Function Rule	table[[x,y],[3,15],[8,40],[10,50]]	$\begin{array}{c} x & y \\ 3 & 15 \\ 8 & 40 \\ 10 & 50 \end{array}$
96157	Find the Function Rule	table[[x,y],[0,0],[1,1.5],[2,6]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 1.5 \\ 2 & 6 \end{array}$
96158	Simplify	12/20	$\frac{12}{20}$
96159	Find the Function Rule	table[[x,y],[1,5],[2,2],[3,-1],[4,-4],[5,-7]]	$\begin{array}{c} x & y \\ 1 & 5 \\ 2 & 2 \\ 3 & - 1 \\ 4 & - 4 \\ 5 & - 7 \end{array}$
96160	Simplify	(15x^6)/(20y^5)*(6y^2)/(5x^4)	$\frac{15 x^{6}}{20 y^{5}} \cdot \frac{6 y^{2}}{5 x^{4}}$
96161	Find the End Behavior	f(x)=x^3+5x^2-8x-48	$f (x) = x^{3} + 5 x^{2} - 8 x - 48$
96162	Simplify	16^(-5/4)	$16^{- \frac{5}{4}}$
96163	Find the End Behavior	f(x)=-2x^3+4x^2-5	$f (x) = - 2 x^{3} + 4 x^{2} - 5$
96164	Simplify	1/3+1/4	$\frac{1}{3} + \frac{1}{4}$
96165	Find the End Behavior	-x^2(x-1)(x+3)	$- x^{2} (x - 1) (x + 3)$
96166	Simplify	1/3*(21m+27)	$\frac{1}{3} \cdot (21 m + 27)$
96167	Simplify	1/(3x)+3/(4x)	$\frac{1}{3 x} + \frac{3}{4 x}$
96168	Find the End Behavior	x(x^2-4)	$x (x^{2} - 4)$
96169	Simplify	1/(x^-4)	$\frac{1}{x^{- 4}}$
96170	Find the End Behavior	-3x^2-x^3	$- 3 x^{2} - x^{3}$
96171	Simplify	1/(1+x/y)	$\frac{1}{1 + \frac{x}{y}}$
96172	Find the End Behavior	f(x)=-4x^3+2x^2-1	$f (x) = - 4 x^{3} + 2 x^{2} - 1$
96173	Simplify	1/(1-x)+x/(x^2-1)	$\frac{1}{1 - x} + \frac{x}{x^{2} - 1}$
96174	Simplify	1/4x^2	$\frac{1}{4} x^{2}$
96175	Simplify	(4/x+5/(x^2))/(16/(x^2)-25/x)	$\frac{\frac{4}{x} + \frac{5}{x^{2}}}{\frac{16}{x^{2}} - \frac{25}{x}}$
96176	Find the End Behavior	2x^4+2x^3+7x^2+7	$2 x^{4} + 2 x^{3} + 7 x^{2} + 7$
96177	Simplify	(3/(x+2)+2/3)/((2x)/(x+2)-1/x)	$\frac{\frac{3}{x + 2} + \frac{2}{3}}{\frac{2 x}{x + 2} - \frac{1}{x}}$
96178	Simplify	(h^0)/3	$\frac{h^{0}}{3}$
96179	Simplify	(pi/2)/2	$\frac{\frac{π}{2}}{2}$
96180	Simplify	(mn^-4)/(p^0q^-2)	$\frac{m n^{- 4}}{p^{0} q^{- 2}}$
96181	Simplify	(b^(1/3)b^(1/3))/(-b^(-1/3))	$\frac{b^{\frac{1}{3}} b^{\frac{1}{3}}}{- b^{- \frac{1}{3}}}$
96182	Simplify	(d^14)/(d^17)	$\frac{d^{14}}{d^{17}}$
96183	Simplify	(a^2+2a+1)/(5a+5)	$\frac{a^{2} + 2 a + 1}{5 a + 5}$
96184	Find the End Behavior	f(x)=2x^5-3x^4-5x^2-2	$f (x) = 2 x^{5} - 3 x^{4} - 5 x^{2} - 2$
96185	Simplify	(a^2-a-6)/(a^2-7a+12)*(a^2-2a-8)/(a^2-3a-10)	$\frac{a^{2} - a - 6}{a^{2} - 7 a + 12} \cdot \frac{a^{2} - 2 a - 8}{a^{2} - 3 a - 10}$
96186	Simplify	((6a^-1b)^2)/((b^2)^4)	$\frac{{(6 a^{- 1} b)}^{2}}{{(b^{2})}^{4}}$
96187	Simplify	((2x)^4)/((2x)^2)	$\frac{{(2 x)}^{4}}{{(2 x)}^{2}}$
96188	Simplify	((3a^2b)^3)/((-6ab^3)^2)	$\frac{{(3 a^{2} b)}^{3}}{{(- 6 a b^{3})}^{2}}$
96189	Find the End Behavior	f(x)=x^5-6x^4+9x^3	$f (x) = x^{5} - 6 x^{4} + 9 x^{3}$
96190	Simplify	((4xy^-2)^-2)/(2xy^3)	$\frac{{(4 x y^{- 2})}^{- 2}}{2 x y^{3}}$
96191	Find the End Behavior	f(x)=(x-2)(x+1)^2(x-5)	$f (x) = (x - 2) {(x + 1)}^{2} (x - 5)$
96192	Simplify	((2y^(1/5))^4)/(y^(1/20))	$\frac{{(2 y^{\frac{1}{5}})}^{4}}{y^{\frac{1}{20}}}$
96193	Find the End Behavior	f(x)=x^2(x+6)	$f (x) = x^{2} (x + 6)$
96194	Simplify	((2x^(1/5))^4)/(x^(1/20))	$\frac{{(2 x^{\frac{1}{5}})}^{4}}{x^{\frac{1}{20}}}$
96195	Simplify	((2a^5b)^2)/(24b^6)	$\frac{{(2 a^{5} b)}^{2}}{24 b^{6}}$
96196	Simplify	((x^3)^(1/2))/(x^(11/2))	$\frac{{(x^{3})}^{\frac{1}{2}}}{x^{\frac{11}{2}}}$
96197	Find the End Behavior	x^6-5x^3+4x-1	$x^{6} - 5 x^{3} + 4 x - 1$
96198	Simplify	(xy)^4	${(x y)}^{4}$
96199	Find the End Behavior	f(x)=3x^5-3x^3+2x-2	$f (x) = 3 x^{5} - 3 x^{3} + 2 x - 2$
96200	Find the End Behavior	f(x)=-2x^4-6x^3	$f (x) = - 2 x^{4} - 6 x^{3}$