Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18701	Factor	y(x^4+4)+7(x^4+8)	$y (x^{4} + 4) + 7 (x^{4} + 8)$ $y (x^{4} + 4) + 7 (x^{4} + 8)$
18702	Factor	y(x-8)+2(8-x)	$y (x - 8) + 2 (8 - x)$ $y (x - 8) + 2 (8 - x)$
18703	Factor	y=-8(3x+2)^3(4x+3)^-3+9(3x+2)^2(4x+3)^-2	$y = - 8 {(3 x + 2)}^{3} {(4 x + 3)}^{- 3} + 9 {(3 x + 2)}^{2} {(4 x + 3)}^{- 2}$ $y = - 8 {(3 x + 2)}^{3} {(4 x + 3)}^{- 3} + 9 {(3 x + 2)}^{2} {(4 x + 3)}^{- 2}$
18704	Factor	z-12z	$z - 12 z$ $z - 12 z$
18705	Find the Roots (Zeros)	4x^2-17x-15	$4 x^{2} - 17 x - 15$ $4 x^{2} - 17 x - 15$
18706	Factor	9x^6y^4+36x^4y^3+72xy	$9 x^{6} y^{4} + 36 x^{4} y^{3} + 72 x y$ $9 x^{6} y^{4} + 36 x^{4} y^{3} + 72 x y$
18707	Factor	-9x-12x	$- 9 x - 12 x$ $- 9 x - 12 x$
18708	Factor	y^2-25x+25	$y^{2} - 25 x + 25$ $y^{2} - 25 x + 25$
18709	Factor	y^4+2y^3-35y^2	$y^{4} + 2 y^{3} - 35 y^{2}$ $y^{4} + 2 y^{3} - 35 y^{2}$
18710	Factor	z^2+(3+2i)z+6i	$z^{2} + (3 + 2 i) z + 6 i$ $z^{2} + (3 + 2 i) z + 6 i$
18711	Factor	z^2-18	$z^{2} - 18$ $z^{2} - 18$
18712	Factor	0.03x+0.05y+0.10z	$0.03 x + 0.05 y + 0.1 z$ $0.03 x + 0.05 y + 0.1 z$
18713	Factor	0.04-x^3	$0.04 - x^{3}$ $0.04 - x^{3}$
18714	Factor	0.09a^6-0.6a^3+1	$0.09 a^{6} - 0.6 a^{3} + 1$ $0.09 a^{6} - 0.6 a^{3} + 1$
18715	Factor	1.22*10	$1.22 \cdot 10$ $1.22 \cdot 10$
18716	Factor	1+R(1/3)	$1 + R (\frac{1}{3})$ $1 + R (\frac{1}{3})$
18717	Factor	10a^2+66a-28	$10 a^{2} + 66 a - 28$ $10 a^{2} + 66 a - 28$
18718	Factor	10a^2+8a^3	$10 a^{2} + 8 a^{3}$ $10 a^{2} + 8 a^{3}$
18719	Solve for y	6x+4y<=-4	$6 x + 4 y \leq - 4$ $6 x + 4 y \leq - 4$
18720	Solve for x	4x+5y<=20	$4 x + 5 y \leq 20$ $4 x + 5 y \leq 20$
18721	Solve for x	6x+y<=7	$6 x + y \leq 7$ $6 x + y \leq 7$
18722	Solve for c	10000c+a+c=100000	$10000 c + a + c = 100000$ $10000 c + a + c = 100000$
18723	Solve for x	x/9+1/3=5/18	$\frac{x}{9} + \frac{1}{3} = \frac{5}{18}$ $\frac{x}{9} + \frac{1}{3} = \frac{5}{18}$
18724	Solve for x	3.4 = log of x	$3.4 = \log (x)$ $3.4 = \log (x)$
18725	Simplify	square root of 1.1	$\sqrt{1.1}$ $\sqrt{1.1}$
18726	Simplify	2x-y^4x^2+2xy+2y	$2 x - y^{4} x^{2} + 2 x y + 2 y$ $2 x - y^{4} x^{2} + 2 x y + 2 y$
18727	Simplify	(1+0.07/4)^4-1	${(1 + \frac{0.07}{4})}^{4} - 1$ ${(1 + \frac{0.07}{4})}^{4} - 1$
18728	Simplify	(13/6)÷(1/3)-6/3	$\frac{13}{6} \div \frac{1}{3} - \frac{6}{3}$ $\frac{13}{6} \div \frac{1}{3} - \frac{6}{3}$
18729	Solve for z	3-z=2/z	$3 - z = \frac{2}{z}$ $3 - z = \frac{2}{z}$
18730	Simplify	(3i-6)(2i+5)	$(3 i - 6) (2 i + 5)$ $(3 i - 6) (2 i + 5)$
18731	Solve for k	c=9/4*(k-78)	$c = \frac{9}{4} \cdot (k - 78)$ $c = \frac{9}{4} \cdot (k - 78)$
18732	Solve for y	5x-y=9	$5 x - y = 9$ $5 x - y = 9$
18733	Evaluate	(20!)/(17!)	$\frac{20!}{17!}$ $\frac{20!}{17!}$
18734	Evaluate	(5!)/(2!(5-2)!)	$\frac{5!}{2! (5 - 2)!}$ $\frac{5!}{2! (5 - 2)!}$
18735	Evaluate	(7!)/(5!(7-5)!)	$\frac{7!}{5! (7 - 5)!}$ $\frac{7!}{5! (7 - 5)!}$
18736	Write in Standard Form	10x+5y=10	$10 x + 5 y = 10$ $10 x + 5 y = 10$
18737	Find Any Equation Parallel to the Line	y=1/2x+3	$y = \frac{1}{2} x + 3$ $y = \frac{1}{2} x + 3$
18738	Find the Inverse of the Resulting Matrix	[[1/5,1/2],[1/3,0]][[200],[60]]	$[\begin{array}{c} \frac{1}{5} & \frac{1}{2} \\ \frac{1}{3} & 0 \end{array}] [\begin{array}{c} 200 \\ 60 \end{array}]$ $[\begin{array}{c} \frac{1}{5} & \frac{1}{2} \\ \frac{1}{3} & 0 \end{array}] [\begin{array}{c} 200 \\ 60 \end{array}]$
18739	Find the Interquartile Range (H-Spread)	30 , 26 , 28 , 32 , 28 , 30	$30$ $30$ , $26$ $26$ , $28$ $28$ , $32$ $32$ , $28$ $28$ , $30$ $30$
18740	Factor over the Complex Numbers	(z^(3/4)*x^3)^(1/2)	${(z^{\frac{3}{4}} \cdot x^{3})}^{\frac{1}{2}}$ ${(z^{\frac{3}{4}} \cdot x^{3})}^{\frac{1}{2}}$
18741	Subtract	1250-1100	$1250 - 1100$ $1250 - 1100$
18742	Determine if Linear	f(x)=8-4x	$f (x) = 8 - 4 x$ $f (x) = 8 - 4 x$
18743	Divide	(6x^3+7x^2-26x-15)/(2x+5)	$\frac{6 x^{3} + 7 x^{2} - 26 x - 15}{2 x + 5}$ $\frac{6 x^{3} + 7 x^{2} - 26 x - 15}{2 x + 5}$
18744	Solve Using a Matrix by Row Operations	4x-8y=4 , -8x+16y=-8	$4 x - 8 y = 4$ $4 x - 8 y = 4$ , $- 8 x + 16 y = - 8$ $- 8 x + 16 y = - 8$
18745	Solve Using a Matrix by Row Operations	5x-4y=-7 , -10x+8y=14	$5 x - 4 y = - 7$ $5 x - 4 y = - 7$ , $- 10 x + 8 y = 14$ $- 10 x + 8 y = 14$
18746	Solve Using a Matrix by Row Operations	x1-2x2+x3=-3 , 2x1+x2-2x3=2 , x1+3x2-3x*3=5	$x \cdot 1 - 2 x \cdot 2 + x \cdot 3 = - 3$ $x \cdot 1 - 2 x \cdot 2 + x \cdot 3 = - 3$ , $2 x \cdot 1 + x \cdot 2 - 2 x \cdot 3 = 2$ $2 x \cdot 1 + x \cdot 2 - 2 x \cdot 3 = 2$ , $x \cdot 1 + 3 x \cdot 2 - 3 x \cdot 3 = 5$ $x \cdot 1 + 3 x \cdot 2 - 3 x \cdot 3 = 5$
18747	Solve Using an Augmented Matrix	-0.2x+0.3y=5 , 0.4x+1.6y=32	$- 0.2 x + 0.3 y = 5$ $- 0.2 x + 0.3 y = 5$ , $0.4 x + 1.6 y = 32$ $0.4 x + 1.6 y = 32$
18748	Solve Using an Augmented Matrix	2x+4y+6z=22 , 3x+8y+5z=27 , -x+y+2z=2	$2 x + 4 y + 6 z = 22$ $2 x + 4 y + 6 z = 22$ , $3 x + 8 y + 5 z = 27$ $3 x + 8 y + 5 z = 27$ , $- x + y + 2 z = 2$ $- x + y + 2 z = 2$
18749	Minimize the Equation given the Constraints	z=6x+15y , 4x+5y>=27 , 8x+4y>=32 , x>=0 , x>=0	$z = 6 x + 15 y$ $z = 6 x + 15 y$ , $4 x + 5 y \geq 27$ $4 x + 5 y \geq 27$ , $8 x + 4 y \geq 32$ $8 x + 4 y \geq 32$ , $x \geq 0$ $x \geq 0$ , $x \geq 0$ $x \geq 0$
18750	Find the LCD	1/(x^2+18x+81)+(9x^2+1)/(x^2)	$\frac{1}{x^{2} + 18 x + 81} + \frac{9 x^{2} + 1}{x^{2}}$ $\frac{1}{x^{2} + 18 x + 81} + \frac{9 x^{2} + 1}{x^{2}}$
18751	Find the LCD	1/(2x)+1/(2x)	$\frac{1}{2 x} + \frac{1}{2 x}$ $\frac{1}{2 x} + \frac{1}{2 x}$
18752	Find the LCD	1/(2x)+7/(2+4x)	$\frac{1}{2 x} + \frac{7}{2 + 4 x}$ $\frac{1}{2 x} + \frac{7}{2 + 4 x}$
18753	Find the LCD	1/(k-5)+(2k-19)/(k^2-k-20)	$\frac{1}{k - 5} + \frac{2 k - 19}{k^{2} - k - 20}$ $\frac{1}{k - 5} + \frac{2 k - 19}{k^{2} - k - 20}$
18754	Find the LCD	1/(m-n)-1/(n-m)	$\frac{1}{m - n} - \frac{1}{n - m}$ $\frac{1}{m - n} - \frac{1}{n - m}$
18755	Find the LCD	1/x+1/(x+3)	$\frac{1}{x} + \frac{1}{x + 3}$ $\frac{1}{x} + \frac{1}{x + 3}$
18756	Find the LCD	1/y+1/(2y)-1/(y+2)	$\frac{1}{y} + \frac{1}{2 y} - \frac{1}{y + 2}$ $\frac{1}{y} + \frac{1}{2 y} - \frac{1}{y + 2}$
18757	Find the LCD	1/z-1/t+1/s	$\frac{1}{z} - \frac{1}{t} + \frac{1}{s}$ $\frac{1}{z} - \frac{1}{t} + \frac{1}{s}$
18758	Find the LCD	(10x)/(x^2-6+9)*(x^2-9)/(20x^2)	$\frac{10 x}{x^{2} - 6 + 9} \cdot \frac{x^{2} - 9}{20 x^{2}}$ $\frac{10 x}{x^{2} - 6 + 9} \cdot \frac{x^{2} - 9}{20 x^{2}}$
18759	Find the LCD	(15y-3)/6*3/(10y-2)	$\frac{15 y - 3}{6} \cdot \frac{3}{10 y - 2}$ $\frac{15 y - 3}{6} \cdot \frac{3}{10 y - 2}$
18760	Find the LCD	2.50/25*3.75/x	$\frac{2.5}{25} \cdot \frac{3.75}{x}$ $\frac{2.5}{25} \cdot \frac{3.75}{x}$
18761	Find the LCD	(2x^2y)/(3xy)*(3xy^2)/2	$\frac{2 x^{2} y}{3 x y} \cdot \frac{3 x y^{2}}{2}$ $\frac{2 x^{2} y}{3 x y} \cdot \frac{3 x y^{2}}{2}$
18762	Find the LCD	2/(y+3)-y/(y-1)+(y^2+2)/(y^2+2y-3)	$\frac{2}{y + 3} - \frac{y}{y - 1} + \frac{y^{2} + 2}{y^{2} + 2 y - 3}$ $\frac{2}{y + 3} - \frac{y}{y - 1} + \frac{y^{2} + 2}{y^{2} + 2 y - 3}$
18763	Find the LCD	25/375*375/n	$\frac{25}{375} \cdot \frac{375}{n}$ $\frac{25}{375} \cdot \frac{375}{n}$
18764	Find the LCD	(2x)/(x+1)+(x+1)/(x-1)	$\frac{2 x}{x + 1} + \frac{x + 1}{x - 1}$ $\frac{2 x}{x + 1} + \frac{x + 1}{x - 1}$
18765	Find the LCD	(2x-1)/(x-3)-(x^2-3x-4)/(x^2+x-12)-(x+16)/(x+4)	$\frac{2 x - 1}{x - 3} - \frac{x^{2} - 3 x - 4}{x^{2} + x - 12} - \frac{x + 16}{x + 4}$ $\frac{2 x - 1}{x - 3} - \frac{x^{2} - 3 x - 4}{x^{2} + x - 12} - \frac{x + 16}{x + 4}$
18766	Find the LCD	3/(8x^3y^3)-1/(4xy)	$\frac{3}{8 x^{3} y^{3}} - \frac{1}{4 x y}$ $\frac{3}{8 x^{3} y^{3}} - \frac{1}{4 x y}$
18767	Find the LCD	3/x+1/6	$\frac{3}{x} + \frac{1}{6}$ $\frac{3}{x} + \frac{1}{6}$
18768	Find the LCD	(3pi)/(2(pi+5))(x(pi-5))/(pi-5)+2/((pi+5)(pi-5))(x*2)/2	$\frac{3 π}{2 (π + 5)} \cdot \frac{x (π - 5)}{π - 5} + \frac{2}{(π + 5) (π - 5)} \cdot \frac{x \cdot 2}{2}$ $\frac{3 π}{2 (π + 5)} \cdot \frac{x (π - 5)}{π - 5} + \frac{2}{(π + 5) (π - 5)} \cdot \frac{x \cdot 2}{2}$
18769	Find the LCD	(3x+1)/(y-4)-(y+9)/(y-4)	$\frac{3 x + 1}{y - 4} - \frac{y + 9}{y - 4}$ $\frac{3 x + 1}{y - 4} - \frac{y + 9}{y - 4}$
18770	Find the LCD	(4x^2-3)/(x+yz)*(5xy+z)/(2y-2z)	$\frac{4 x^{2} - 3}{x + y z} \cdot \frac{5 x y + z}{2 y - 2 z}$ $\frac{4 x^{2} - 3}{x + y z} \cdot \frac{5 x y + z}{2 y - 2 z}$
18771	Find the LCD	40/x*(x(5.5))/5	$\frac{40}{x} \cdot \frac{x (5.5)}{5}$ $\frac{40}{x} \cdot \frac{x (5.5)}{5}$
18772	Find the LCD	(4x-8)/(4x^2-4x+1)*(2x-1)/(x-2)	$\frac{4 x - 8}{4 x^{2} - 4 x + 1} \cdot \frac{2 x - 1}{x - 2}$ $\frac{4 x - 8}{4 x^{2} - 4 x + 1} \cdot \frac{2 x - 1}{x - 2}$
18773	Find the LCD	(5x^2+4x)/(x-1)+(6x+3)/(x-1)	$\frac{5 x^{2} + 4 x}{x - 1} + \frac{6 x + 3}{x - 1}$ $\frac{5 x^{2} + 4 x}{x - 1} + \frac{6 x + 3}{x - 1}$
18774	Find the LCD	5/(3b)-7/12	$\frac{5}{3 b} - \frac{7}{12}$ $\frac{5}{3 b} - \frac{7}{12}$
18775	Find the LCD	5/(7x)-1/(5x)	$\frac{5}{7 x} - \frac{1}{5 x}$ $\frac{5}{7 x} - \frac{1}{5 x}$
18776	Find the LCD	(6x)/(x^2+7x-18)-(5x+1)/(x^2+8x-9)	$\frac{6 x}{x^{2} + 7 x - 18} - \frac{5 x + 1}{x^{2} + 8 x - 9}$ $\frac{6 x}{x^{2} + 7 x - 18} - \frac{5 x + 1}{x^{2} + 8 x - 9}$
18777	Find the LCD	7/10-11/18x-1/5-1/15x	$\frac{7}{10} - \frac{11}{18} x - \frac{1}{5} - \frac{1}{15} x$ $\frac{7}{10} - \frac{11}{18} x - \frac{1}{5} - \frac{1}{15} x$
18778	Find the LCD	8/(7ab)-3/(14a^2b)+5/(21ab^2)	$\frac{8}{7 a b} - \frac{3}{14 a^{2} b} + \frac{5}{21 a b^{2}}$ $\frac{8}{7 a b} - \frac{3}{14 a^{2} b} + \frac{5}{21 a b^{2}}$
18779	Find the LCD	a/(a-b)-b/(a+b)	$\frac{a}{a - b} - \frac{b}{a + b}$ $\frac{a}{a - b} - \frac{b}{a + b}$
18780	Factor by Grouping	(a^2+3b^2)-(-5a^(2-3b^2))	$(a^{2} + 3 b^{2}) - (- 5 a^{2 - 3 b^{2}})$ $(a^{2} + 3 b^{2}) - (- 5 a^{2 - 3 b^{2}})$
18781	Factor by Grouping	(x^2)-x-(11/4)	$(x^{2}) - x - (\frac{11}{4})$ $(x^{2}) - x - (\frac{11}{4})$
18782	Factor by Grouping	x^2+10x+30	$x^{2} + 10 x + 30$ $x^{2} + 10 x + 30$
18783	Factor by Grouping	(x^2+x-6)*(x^2-16)	$(x^{2} + x - 6) \cdot (x^{2} - 16)$ $(x^{2} + x - 6) \cdot (x^{2} - 16)$
18784	Factor by Grouping	(16-x)(12-x)	$(16 - x) (12 - x)$ $(16 - x) (12 - x)$
18785	Factor by Grouping	2x-5+(7x-3x^2-3)	$2 x - 5 + (7 x - 3 x^{2} - 3)$ $2 x - 5 + (7 x - 3 x^{2} - 3)$
18786	Factor by Grouping	(4-5i)(3-7i)	$(4 - 5 i) (3 - 7 i)$ $(4 - 5 i) (3 - 7 i)$
18787	Factor by Grouping	(8m+1)(8m-1)	$(8 m + 1) (8 m - 1)$ $(8 m + 1) (8 m - 1)$
18788	Factor	f(x)-3x+2	$f (x) - 3 x + 2$ $f (x) - 3 x + 2$
18789	Factor	f(x+h)	$f (x + h)$ $f (x + h)$
18790	Factor	f(-4x+1)^3dx	$f {(- 4 x + 1)}^{3} d x$ $f {(- 4 x + 1)}^{3} d x$
18791	Factor	x^3-8x^2+21x-20	$x^{3} - 8 x^{2} + 21 x - 20$ $x^{3} - 8 x^{2} + 21 x - 20$
18792	Factor	x^4+12x^2-13	$x^{4} + 12 x^{2} - 13$ $x^{4} + 12 x^{2} - 13$
18793	Find the LCM	15 , 625	$15$ $15$ , $625$ $625$
18794	Find the LCM	15x , 5	$15 x$ $15 x$ , $5$ $5$
18795	Find the LCM	16.6x+56 , 0	$16.6 x + 56$ $16.6 x + 56$ , $0$ $0$
18796	Find the LCM	168.84((1-(1.01)^-9)/0.01)	$168.84 (\frac{1 - {(1.01)}^{- 9}}{0.01})$ $168.84 (\frac{1 - {(1.01)}^{- 9}}{0.01})$
18797	Find the LCM	1696*(8)+52 , 562	$1696 \cdot (8) + 52$ $1696 \cdot (8) + 52$ , $562$ $562$
18798	Find the LCM	19 , (599(0.0055))/((1+0.0055)^-36)	$19$ $19$ , $\frac{599 (0.0055)}{{(1 + 0.0055)}^{- 36}}$ $\frac{599 (0.0055)}{{(1 + 0.0055)}^{- 36}}$
18799	Find the LCM	2 , 4 , 5 , 7 , 9 , 10 , 12	$2$ $2$ , $4$ $4$ , $5$ $5$ , $7$ $7$ , $9$ $9$ , $10$ $10$ , $12$ $12$
18800	Find the LCM	-2 , -4 , -8 , -16	$- 2$ $- 2$ , $- 4$ $- 4$ , $- 8$ $- 8$ , $- 16$ $- 16$