Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18601	Evaluate Using the Given Value	x=2 , -3	$x = 2$ $x = 2$ , $- 3$ $- 3$
18602	Evaluate Using the Given Value	x=2 , ax^2+ax+3=0 , x^2+x+b=0 , findab	$x = 2$ $x = 2$ , $a x^{2} + a x + 3 = 0$ $a x^{2} + a x + 3 = 0$ , $x^{2} + x + b = 0$ $x^{2} + x + b = 0$ , findab
18603	Evaluate Using the Given Value	x-y+2z=-0.2 , -4x+6y-z-2w=4.4 , 2x+7z-2w=2.4 , 4x-3y+5z+6w-4.5	$x - y + 2 z = - 0.2$ $x - y + 2 z = - 0.2$ , $- 4 x + 6 y - z - 2 w = 4.4$ $- 4 x + 6 y - z - 2 w = 4.4$ , $2 x + 7 z - 2 w = 2.4$ $2 x + 7 z - 2 w = 2.4$ , $4 x - 3 y + 5 z + 6 w - 4.5$ $4 x - 3 y + 5 z + 6 w - 4.5$
18604	Evaluate Using the Given Value	y=(1/4)^x , (1/4)^1.7	$y = {(\frac{1}{4})}^{x}$ $y = {(\frac{1}{4})}^{x}$ , ${(\frac{1}{4})}^{1.7}$ ${(\frac{1}{4})}^{1.7}$
18605	Evaluate Using the Given Value	y=32x+50 , 0	$y = 32 x + 50$ $y = 32 x + 50$ , $0$ $0$
18606	Evaluate Using the Given Value	y=x+1 , 2x+y=7	$y = x + 1$ $y = x + 1$ , $2 x + y = 7$ $2 x + y = 7$
18607	Evaluate Using the Given Value	x=-5 , 2x^2-3x-7	$x = - 5$ $x = - 5$ , $2 x^{2} - 3 x - 7$ $2 x^{2} - 3 x - 7$
18608	Evaluate Using the Given Value	x-2y=2 , 2x-4y-4	$x - 2 y = 2$ $x - 2 y = 2$ , $2 x - 4 y - 4$ $2 x - 4 y - 4$
18609	Evaluate Using the Given Value	x-2y=6 , y+2x-21	$x - 2 y = 6$ $x - 2 y = 6$ , $y + 2 x - 21$ $y + 2 x - 21$
18610	Find the x and y Intercepts	y=10x-2	$y = 10 x - 2$ $y = 10 x - 2$
18611	Find the Roots (Zeros)	y=-x^2-5x-6	$y = - x^{2} - 5 x - 6$ $y = - x^{2} - 5 x - 6$
18612	Find the Roots (Zeros)	h(x)=2x^2+7x-3	$h (x) = 2 x^{2} + 7 x - 3$ $h (x) = 2 x^{2} + 7 x - 3$
18613	Find the Roots (Zeros)	f(x)=5-2x	$f (x) = 5 - 2 x$ $f (x) = 5 - 2 x$
18614	Find the GCF	(1+i)^n+(1-i)^n	${(1 + i)}^{n} + {(1 - i)}^{n}$ ${(1 + i)}^{n} + {(1 - i)}^{n}$
18615	Find the GCF	(p+q)^2+8(p+q)+16	${(p + q)}^{2} + 8 (p + q) + 16$ ${(p + q)}^{2} + 8 (p + q) + 16$
18616	Find the GCF	-6x^2-6y^2+9	$- 6 x^{2} - 6 y^{2} + 9$ $- 6 x^{2} - 6 y^{2} + 9$
18617	Find the GCF	(8x)/(6x)-32/24	$\frac{8 x}{6 x} - \frac{32}{24}$ $\frac{8 x}{6 x} - \frac{32}{24}$
18618	Find the GCF	a^2*(4ab)+4b^2	$a^{2} \cdot (4 a b) + 4 b^{2}$ $a^{2} \cdot (4 a b) + 4 b^{2}$
18619	Find the GCF	a^6b^4-a^4b^6+a^6b^6	$a^{6} b^{4} - a^{4} b^{6} + a^{6} b^{6}$ $a^{6} b^{4} - a^{4} b^{6} + a^{6} b^{6}$
18620	Find the GCF	(sin(2x))/(x^2sin(x))-2/(x^2)	$\frac{\sin (2 x)}{x^{2} \sin (x)} - \frac{2}{x^{2}}$ $\frac{\sin (2 x)}{x^{2} \sin (x)} - \frac{2}{x^{2}}$
18621	Find the GCF	square root of x+1- square root of x	$\sqrt{x + 1} - \sqrt{x}$ $\sqrt{x + 1} - \sqrt{x}$
18622	Find the GCF	x^2+2x+1	$x^{2} + 2 x + 1$ $x^{2} + 2 x + 1$
18623	Find the GCF	x^2-4x	$x^{2} - 4 x$ $x^{2} - 4 x$
18624	Find the GCF	x^2-6x	$x^{2} - 6 x$ $x^{2} - 6 x$
18625	Find the GCF	x^3+27	$x^{3} + 27$ $x^{3} + 27$
18626	Find the GCF	y^2-4xy^3+4x^2y^4	$y^{2} - 4 x y^{3} + 4 x^{2} y^{4}$ $y^{2} - 4 x y^{3} + 4 x^{2} y^{4}$
18627	Find the GCF	1+5+25+125+625	$1 + 5 + 25 + 125 + 625$ $1 + 5 + 25 + 125 + 625$
18628	Find the GCF	10x^2+6x^2+14x	$10 x^{2} + 6 x^{2} + 14 x$ $10 x^{2} + 6 x^{2} + 14 x$
18629	Find the GCF	12w^2+20m^4	$12 w^{2} + 20 m^{4}$ $12 w^{2} + 20 m^{4}$
18630	Find the GCF	12w^2*(42w^4)+30w^5	$12 w^{2} \cdot (42 w^{4}) + 30 w^{5}$ $12 w^{2} \cdot (42 w^{4}) + 30 w^{5}$
18631	Find the GCF	12x^5(x+5)+8x^4(x+5)+12x^2(x+5)	$12 x^{5} (x + 5) + 8 x^{4} (x + 5) + 12 x^{2} (x + 5)$ $12 x^{5} (x + 5) + 8 x^{4} (x + 5) + 12 x^{2} (x + 5)$
18632	Find the GCF	12st+8t-9s-6	$12 s t + 8 t - 9 s - 6$ $12 s t + 8 t - 9 s - 6$
18633	Find the GCF	12t-18	$12 t - 18$ $12 t - 18$
18634	Find the GCF	14x^2+6x	$14 x^{2} + 6 x$ $14 x^{2} + 6 x$
18635	Find the GCF	-14x^3y^2+21x^2y+14xy	$- 14 x^{3} y^{2} + 21 x^{2} y + 14 x y$ $- 14 x^{3} y^{2} + 21 x^{2} y + 14 x y$
18636	Find the GCF	16b^2-72b+81	$16 b^{2} - 72 b + 81$ $16 b^{2} - 72 b + 81$
18637	Find the GCF	-16t^2+192t	$- 16 t^{2} + 192 t$ $- 16 t^{2} + 192 t$
18638	Find the GCF	-16t^2+58t+192	$- 16 t^{2} + 58 t + 192$ $- 16 t^{2} + 58 t + 192$
18639	Find the GCF	16x^(1/6)+4x^(7/6)	$16 x^{\frac{1}{6}} + 4 x^{\frac{7}{6}}$ $16 x^{\frac{1}{6}} + 4 x^{\frac{7}{6}}$
18640	Find the GCF	18w^7y^4+24w^2y^4u^6	$18 w^{7} y^{4} + 24 w^{2} y^{4} u^{6}$ $18 w^{7} y^{4} + 24 w^{2} y^{4} u^{6}$
18641	Find the GCF	2m^3+10-(cm^3)-5c	$2 m^{3} + 10 - {cm}^{3} - 5 c$ $2 m^{3} + 10 - {cm}^{3} - 5 c$
18642	Find the GCF	2mn-2m+3-3n	$2 m n - 2 m + 3 - 3 n$ $2 m n - 2 m + 3 - 3 n$
18643	Factor by Grouping	((afr)/(cg84.1^p))/((5x)/((cfg)/(y178- square root of 8.12)))+7	$\frac{\frac{a f r}{cg \cdot {84.1}^{p}}}{\frac{5 x}{\frac{c f g}{y \cdot 178 - \sqrt{8.12}}}} + 7$ $\frac{\frac{a f r}{cg \cdot {84.1}^{p}}}{\frac{5 x}{\frac{c f g}{y \cdot 178 - \sqrt{8.12}}}} + 7$
18644	Factor by Grouping	(b^2)/(b-7)-(19b-84)/(b-7)	$\frac{b^{2}}{b - 7} - \frac{19 b - 84}{b - 7}$ $\frac{b^{2}}{b - 7} - \frac{19 b - 84}{b - 7}$
18645	Factor by Grouping	(0.08*1500)/0.0005	$\frac{0.08 \cdot 1500}{0.0005}$ $\frac{0.08 \cdot 1500}{0.0005}$
18646	Factor by Grouping	1/8x^5-9+1/4x^5-2x-29	$\frac{1}{8} x^{5} - 9 + \frac{1}{4} x^{5} - 2 x - 29$ $\frac{1}{8} x^{5} - 9 + \frac{1}{4} x^{5} - 2 x - 29$
18647	Factor by Grouping	2^(2n+2)*3^(2n+3)	$2^{2 n + 2} \cdot 3^{2 n + 3}$ $2^{2 n + 2} \cdot 3^{2 n + 3}$
18648	Factor by Grouping	314/995+152/995-71/995	$\frac{314}{995} + \frac{152}{995} - \frac{71}{995}$ $\frac{314}{995} + \frac{152}{995} - \frac{71}{995}$
18649	Factor by Grouping	8^(n+1)*5^(n-1)	$8^{n + 1} \cdot 5^{n - 1}$ $8^{n + 1} \cdot 5^{n - 1}$
18650	Factor by Grouping	a^2+16a+63	$a^{2} + 16 a + 63$ $a^{2} + 16 a + 63$
18651	Factor by Grouping	p^3-2p^2+4p-8	$p^{3} - 2 p^{2} + 4 p - 8$ $p^{3} - 2 p^{2} + 4 p - 8$
18652	Factor by Grouping	r^2-6tw+2wr-3tr	$r^{2} - 6 t w + 2 w r - 3 t r$ $r^{2} - 6 t w + 2 w r - 3 t r$
18653	Factor by Grouping	s^2-9s+18	$s^{2} - 9 s + 18$ $s^{2} - 9 s + 18$
18654	Factor by Grouping	(sin(2x))/(x^2sin(x))-2/(x^2)	$\frac{\sin (2 x)}{x^{2} \sin (x)} - \frac{2}{x^{2}}$ $\frac{\sin (2 x)}{x^{2} \sin (x)} - \frac{2}{x^{2}}$
18655	Factor by Grouping	square root of (3/4)÷((1-2/5)^2)-4/71/2+1/45	$\sqrt{\frac{3}{4} \div {(1 - \frac{2}{5})}^{2}} - \frac{4}{7} \cdot \frac{1}{2} + \frac{1}{4} \cdot 5$ $\sqrt{\frac{3}{4} \div {(1 - \frac{2}{5})}^{2}} - \frac{4}{7} \cdot \frac{1}{2} + \frac{1}{4} \cdot 5$
18656	Factor by Grouping	square root of x+1- square root of x	$\sqrt{x + 1} - \sqrt{x}$ $\sqrt{x + 1} - \sqrt{x}$
18657	Factor by Grouping	w^3-5w^2+6w-30	$w^{3} - 5 w^{2} + 6 w - 30$ $w^{3} - 5 w^{2} + 6 w - 30$
18658	Factor by Grouping	x^2-y^2-4x+4y	$x^{2} - y^{2} - 4 x + 4 y$ $x^{2} - y^{2} - 4 x + 4 y$
18659	Factor by Grouping	-x^2+10x-23	$- x^{2} + 10 x - 23$ $- x^{2} + 10 x - 23$
18660	Factor by Grouping	x^2+2x-35	$x^{2} + 2 x - 35$ $x^{2} + 2 x - 35$
18661	Factor by Grouping	x^2+cx-bx-cb	$x^{2} + c x - b x - c b$ $x^{2} + c x - b x - c b$
18662	Factor by Grouping	x^2+x+2	$x^{2} + x + 2$ $x^{2} + x + 2$
18663	Factor by Grouping	x^2*(11x)+28	$x^{2} \cdot (11 x) + 28$ $x^{2} \cdot (11 x) + 28$
18664	Factor by Grouping	x^2-7x-8	$x^{2} - 7 x - 8$ $x^{2} - 7 x - 8$
18665	Factor by Grouping	x^4-3x^3+5x^2-15x	$x^{4} - 3 x^{3} + 5 x^{2} - 15 x$ $x^{4} - 3 x^{3} + 5 x^{2} - 15 x$
18666	Factor by Grouping	x^6+2x^3y^3+y^6	$x^{6} + 2 x^{3} y^{3} + y^{6}$ $x^{6} + 2 x^{3} y^{3} + y^{6}$
18667	Factor by Grouping	100(1)+100(9)+(M-999.5)(22)	$100 (1) + 100 (9) + (M - 999.5) (22)$ $100 (1) + 100 (9) + (M - 999.5) (22)$
18668	Factor by Grouping	-12.5x+0.1x^2+250	$- 12.5 x + 0.1 x^{2} + 250$ $- 12.5 x + 0.1 x^{2} + 250$
18669	Factor by Grouping	12w^3-39w^2+9w	$12 w^{3} - 39 w^{2} + 9 w$ $12 w^{3} - 39 w^{2} + 9 w$
18670	Factor by Grouping	120x^4y^6-62x^2	$120 x^{4} y^{6} - 62 x^{2}$ $120 x^{4} y^{6} - 62 x^{2}$
18671	Factor by Grouping	12bc-4bd-15xc+5xd	$12 b c - 4 b d - 15 x c + 5 x d$ $12 b c - 4 b d - 15 x c + 5 x d$
18672	Factor by Grouping	147r^2-75	$147 r^{2} - 75$ $147 r^{2} - 75$
18673	Factor by Grouping	15z^2-7z^3-2z^4	$15 z^{2} - 7 z^{3} - 2 z^{4}$ $15 z^{2} - 7 z^{3} - 2 z^{4}$
18674	Factor by Grouping	192x^2y+72x^3-24rxy-9rx^2	$192 x^{2} y + 72 x^{3} - 24 r x y - 9 r x^{2}$ $192 x^{2} y + 72 x^{3} - 24 r x y - 9 r x^{2}$
18675	Factor by Grouping	2(n-7)^2	$2 {(n - 7)}^{2}$ $2 {(n - 7)}^{2}$
18676	Factor by Grouping	2n^2+5n+2	$2 n^{2} + 5 n + 2$ $2 n^{2} + 5 n + 2$
18677	Factor by Grouping	2x^2+5xy+3y^2+6x+7y+4	$2 x^{2} + 5 x y + 3 y^{2} + 6 x + 7 y + 4$ $2 x^{2} + 5 x y + 3 y^{2} + 6 x + 7 y + 4$
18678	Factor by Grouping	2x^3-5x^2-37x+60	$2 x^{3} - 5 x^{2} - 37 x + 60$ $2 x^{3} - 5 x^{2} - 37 x + 60$
18679	Factor by Grouping	20u^2+16u+25u+20	$20 u^{2} + 16 u + 25 u + 20$ $20 u^{2} + 16 u + 25 u + 20$
18680	Factor by Grouping	25x^3+5x^2+30x+6	$25 x^{3} + 5 x^{2} + 30 x + 6$ $25 x^{3} + 5 x^{2} + 30 x + 6$
18681	Factor by Grouping	2rs+3rst-8r-12rt	$2 r s + 3 r s t - 8 r - 12 r t$ $2 r s + 3 r s t - 8 r - 12 r t$
18682	Factor by Grouping	3(-(2y)/3+1/3)^2	$3 {(- \frac{2 y}{3} + \frac{1}{3})}^{2}$ $3 {(- \frac{2 y}{3} + \frac{1}{3})}^{2}$
18683	Factor by Grouping	3(x+8)^2+19(x+8)+30	$3 {(x + 8)}^{2} + 19 (x + 8) + 30$ $3 {(x + 8)}^{2} + 19 (x + 8) + 30$
18684	Factor by Grouping	3u^3v^5(2w^5u)(7w^-6v^8)	$3 u^{3} v^{5} \cdot (2 w^{5} u) \cdot (7 w^{- 6} v^{8})$ $3 u^{3} v^{5} \cdot (2 w^{5} u) \cdot (7 w^{- 6} v^{8})$
18685	Factor by Grouping	3x^3-9x^2-9x+27	$3 x^{3} - 9 x^{2} - 9 x + 27$ $3 x^{3} - 9 x^{2} - 9 x + 27$
18686	Factor	g(-1x)	$g (- 1 x)$ $g (- 1 x)$
18687	Factor	h(-9)-2*-9-9	$h (- 9) - 2 \cdot - 9 - 9$ $h (- 9) - 2 \cdot - 9 - 9$
18688	Factor	h-16^(t^2)+1024	$h - 16^{t^{2}} + 1024$ $h - 16^{t^{2}} + 1024$
18689	Factor	normalcdf (-1000,2700,3173,1120)	normalcdf $(- 1000, 2700, 3173, 1120)$ $(- 1000, 2700, 3173, 1120)$
18690	Factor	p(4m-n)-2p(m+2n)	$p (4 m - n) - 2 p (m + 2 n)$ $p (4 m - n) - 2 p (m + 2 n)$
18691	Factor	s-1290	$s - 1290$ $s - 1290$
18692	Factor	sin(5x)	$\sin (5 x)$ $\sin (5 x)$
18693	Factor	tan(45)	$\tan (45)$ $\tan (45)$
18694	Factor	x(x+12)-14(x+12)	$x (x + 12) - 14 (x + 12)$ $x (x + 12) - 14 (x + 12)$
18695	Factor	x+y/10+z/100	$x + \frac{y}{10} + \frac{z}{100}$ $x + \frac{y}{10} + \frac{z}{100}$
18696	Factor	x+h-3(x^2+2xh+h^2)	$x + h - 3 (x^{2} + 2 x h + h^{2})$ $x + h - 3 (x^{2} + 2 x h + h^{2})$
18697	Factor	x+x+18=4x	$x + x + 18 = 4 x$ $x + x + 18 = 4 x$
18698	Factor	x^2+23x+132	$x^{2} + 23 x + 132$ $x^{2} + 23 x + 132$
18699	Factor	x-3y=-1	$x - 3 y = - 1$ $x - 3 y = - 1$
18700	Factor	xy+8x+5y-40	$x y + 8 x + 5 y - 40$ $x y + 8 x + 5 y - 40$