Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18601	Simplify	(2w^4+3w^3-10w^2-3w+6)÷(w^2-2)	$(2 w^{4} + 3 w^{3} - 10 w^{2} - 3 w + 6) \div (w^{2} - 2)$
18602	Simplify	(2+3x)(5-8x)	$(2 + 3 x) (5 - 8 x)$
18603	Simplify	(-2t^-3)(3t^(2/3))	$(- 2 t^{- 3}) (3 t^{\frac{2}{3}})$
18604	Simplify	2x^4-2x^2+2x+(9x^2-3-3x^4+x^2)	$2 x^{4} - 2 x^{2} + 2 x + (9 x^{2} - 3 - 3 x^{4} + x^{2})$
18605	Simplify	2x-x^2	$2 x - x^{2}$
18606	Simplify	(3e^(4x)+cos(5x)^2)^6	${(3 e^{4 x} + \cos^{2} (5 x))}^{6}$
18607	Simplify	-3x^4y+2y^3z^2-x^5y-4y^2x^4+(-5x+7x^4y^2+8x-3y^3z^2)-9x^4y-6x-5x^4+7x^5y	$- 3 x^{4} y + 2 y^{3} z^{2} - x^{5} y - 4 y^{2} x^{4} + (- 5 x + 7 x^{4} y^{2} + 8 x - 3 y^{3} z^{2}) - 9 x^{4} y - 6 x - 5 x^{4} + 7 x^{5} y$
18608	Simplify	-3x^4+13x^2-12+(-3x^5+12x^3-3x^2)	$- 3 x^{4} + 13 x^{2} - 12 + (- 3 x^{5} + 12 x^{3} - 3 x^{2})$
18609	Simplify	(x^3+1)(1/2x^(-1/2))-x^(1/2)(3x^2)	$(x^{3} + 1) (\frac{1}{2} x^{- \frac{1}{2}}) - x^{\frac{1}{2}} (3 x^{2})$
18610	Simplify	(3+4i)(4-3i)	$(3 + 4 i) (4 - 3 i)$
18611	Simplify	(3+5i)(8+7i)	$(3 + 5 i) (8 + 7 i)$
18612	Simplify	(-3sin(x))(sin(x))	$(- 3 \sin (x)) (\sin (x))$
18613	Simplify	(e^(-2x))^2	${(e^{- 2 x})}^{2}$
18614	Simplify	(1/4x^2)^2	${(\frac{1}{4} x^{2})}^{2}$
18615	Simplify	((x^(2n-2)y^(2n))/(x^(5n+1)y^(-n)))^(1/3)	${(\frac{x^{2 n - 2} y^{2 n}}{x^{5 n + 1} y^{- n}})}^{\frac{1}{3}}$
18616	Simplify	(e^t-e^(-t))^2	${(e^{t} - e^{- t})}^{2}$
18617	Simplify	(e^(4x))^2	${(e^{4 x})}^{2}$
18618	Simplify	(e^x)^3	${(e^{x})}^{3}$
18619	Simplify	(t^3)^2	${(t^{3})}^{2}$
18620	Simplify	((x^3)/(-27y^-6))^(-2/3)	${(\frac{x^{3}}{- 27 y^{- 6}})}^{- \frac{2}{3}}$
18621	Simplify	(1/2*(e^x-e^(-x)))^2	${(\frac{1}{2} \cdot (e^{x} - e^{- x}))}^{2}$
18622	Simplify	(1/4+1/x)/(4+x)	$\frac{\frac{1}{4} + \frac{1}{x}}{4 + x}$
18623	Simplify	(1/2x)^2	${(\frac{1}{2} x)}^{2}$
18624	Simplify	((16x^2y^2)/(3x^-2y^4))^(1/2)	${(\frac{16 x^{2} y^{2}}{3 x^{- 2} y^{4}})}^{\frac{1}{2}}$
18625	Simplify	((3ab^-2)/(5b))^3	${(\frac{3 a b^{- 2}}{5 b})}^{3}$
18626	Simplify	(xy^(-b/2))^(b/2)	${(x y^{- \frac{b}{2}})}^{\frac{b}{2}}$
18627	Simplify	(x^30y^15)^(1/5)	${(x^{30} y^{15})}^{\frac{1}{5}}$
18628	Simplify	(x^3-1)^2	${(x^{3} - 1)}^{2}$
18629	Simplify	(x^7)/(y^7)	$\frac{x^{7}}{y^{7}}$
18630	Simplify	(y^(1/3))^2	${(y^{\frac{1}{3}})}^{2}$
18631	Simplify	(1+e^x)^2	${(1 + e^{x})}^{2}$
18632	Simplify	(z^0.5)^2	${(z^{0.5})}^{2}$
18633	Simplify	(x^2-5)^2	${(x^{2} - 5)}^{2}$
18634	Simplify	(x^2-4)^4	${(x^{2} - 4)}^{4}$
18635	Simplify	(x^2-9)^2	${(x^{2} - 9)}^{2}$
18636	Simplify	(x^2+9)^(1/2)	${(x^{2} + 9)}^{\frac{1}{2}}$
18637	Simplify	(x^2+3x+4)^2	${(x^{2} + 3 x + 4)}^{2}$
18638	Simplify	(x^(-1/3))^2	${(x^{- \frac{1}{3}})}^{2}$
18639	Simplify	(t^2)^2	${(t^{2})}^{2}$
18640	Simplify	(x^2)^(3/2)	${(x^{2})}^{\frac{3}{2}}$
18641	Simplify	(x^(-b/a))^(-a/b)	${(x^{- \frac{b}{a}})}^{- \frac{a}{b}}$
18642	Simplify	(x+12)(36/x+12)	$(x + 12) (\frac{36}{x} + 12)$
18643	Simplify	(x+12)(25/x+12)	$(x + 12) (\frac{25}{x} + 12)$
18644	Simplify	(x)(16-2x)(16-2x)	$(x) (16 - 2 x) (16 - 2 x)$
18645	Simplify	(x)(17-2x)(17-2x)	$(x) (17 - 2 x) (17 - 2 x)$
18646	Simplify	(40000+10000/3x)(18-x)+(40000+10000/3x)(4.50)	$(40000 + \frac{10000}{3} x) (18 - x) + (40000 + \frac{10000}{3} x) (4.5)$
18647	Simplify	(x)(23-2x)(23-2x)	$(x) (23 - 2 x) (23 - 2 x)$
18648	Simplify	(x)(8-2x)(8-2x)	$(x) (8 - 2 x) (8 - 2 x)$
18649	Simplify	(-cos(pi/2+(2pi)/3))-(cos(-pi/4)-pi/2)	$(- \cos (\frac{π}{2} + \frac{2 π}{3})) - (\cos (- \frac{π}{4}) - \frac{π}{2})$
18650	Simplify	(9x^2-58x+24)(-x+1)	$(9 x^{2} - 58 x + 24) (- x + 1)$
18651	Simplify	(5e^(4x+2))*(-3e^(2x-7))	$(5 e^{4 x + 2}) \cdot (- 3 e^{2 x - 7})$
18652	Simplify	(5 square root of 10+4)(2 square root of 2-1)	$(5 \sqrt{10} + 4) (2 \sqrt{2} - 1)$
18653	Simplify	(x+6)(36/x+6)	$(x + 6) (\frac{36}{x} + 6)$
18654	Simplify	(x+4)(50/x+8)	$(x + 4) (\frac{50}{x} + 8)$
18655	Simplify	(x+2)(32/x+4)	$(x + 2) (\frac{32}{x} + 4)$
18656	Simplify	(x-1)(2x-3)	$(x - 1) (2 x - 3)$
18657	Find dy/dx	y = square root of x^2+2	$y = \sqrt{x^{2} + 2}$
18658	Simplify	(x-4)-4	$(x - 4) - 4$
18659	Simplify	(x-5)(1-2x)	$(x - 5) (1 - 2 x)$
18660	Simplify	(z-1)(z+1)	$(z - 1) (z + 1)$
18661	Simplify	(y-3)(2y+1)	$(y - 3) (2 y + 1)$
18662	Simplify	0.08+0.12(1-e^(-0.02*20))	$0.08 + 0.12 (1 - e^{- 0.02 \cdot 20})$
18663	Simplify	0.3x^2+50x-0.4x^2+2000	$0.3 x^{2} + 50 x - 0.4 x^{2} + 2000$
18664	Simplify	x^2+2hx+h^2+(2x+2h)	$x^{2} + 2 h x + h^{2} + (2 x + 2 h)$
18665	Simplify	(2u^3)/3+(3u^2)/2	$\frac{2 u^{3}}{3} + \frac{3 u^{2}}{2}$
18666	Simplify	(14e^5)-(14e)	$(14 e^{5}) - (14 e)$
18667	Simplify	((1/(1-x^2))^2-1)^(1/2)	${({(\frac{1}{1 - x^{2}})}^{2} - 1)}^{\frac{1}{2}}$
18668	Simplify	1/110*(-3972.615675e^(-0.01059t))	$\frac{1}{110} \cdot (- 3972.615675 e^{- 0.01059 t})$
18669	Simplify	1/2v^2+v^3	$\frac{1}{2} v^{2} + v^{3}$
18670	Simplify	((z-1)/(z+1))^(-1/2)	${(\frac{z - 1}{z + 1})}^{- \frac{1}{2}}$
18671	Simplify	((e^x)/(e^(x-2)))^(-1/2)	${(\frac{e^{x}}{e^{x - 2}})}^{- \frac{1}{2}}$
18672	Simplify	(-e^(-t)cos(2t)-2e^(-t)sin(2t))/(-2e^(-2t)sin(2t)+2e^(-2t)cos(2t))	$\frac{- e^{- t} \cos (2 t) - 2 e^{- t} \sin (2 t)}{- 2 e^{- 2 t} \sin (2 t) + 2 e^{- 2 t} \cos (2 t)}$
18673	Simplify	(e^4)/(e^2)	$\frac{e^{4}}{e^{2}}$
18674	Simplify	(e-e^-1)/(e+e^-1)	$\frac{e - e^{- 1}}{e + e^{- 1}}$
18675	Simplify	(e^(-2*2))/-2	$\frac{e^{- 2 \cdot 2}}{- 2}$
18676	Simplify	(1/3)/e	$\frac{\frac{1}{3}}{e}$
18677	Simplify	(1/x)/2	$\frac{\frac{1}{x}}{2}$
18678	Simplify	(-1/(1^2))/(-81pi^2cos(9pi))	$\frac{- \frac{1}{1^{2}}}{- 81 π^{2} \cos (9 π)}$
18679	Simplify	(\|x-a\|)/(x-a)	$\frac{\| x - a \|}{x - a}$
18680	Simplify	(3/(3x-1))/(3/(3x-1)+3)-3	$\frac{\frac{3}{3 x - 1}}{\frac{3}{3 x - 1} + 3} - 3$
18681	Simplify	(e^x)/(1+e^x)*(dx)	$\frac{e^{x}}{1 + e^{x}} \cdot (d x)$
18682	Simplify	(sec(x)^2sin(x))/(tan(x)^2)	$\frac{\sec^{2} (x) \sin (x)}{\tan^{2} (x)}$
18683	Simplify	(pi/2-0)/4	$\frac{\frac{π}{2} - 0}{4}$
18684	Simplify	arctan(1)+arccot(1)	$\arctan (1) + arccot (1)$
18685	Simplify	(u^4u^-7)/((x^8)/(u^2))	$\frac{u^{4} u^{- 7}}{\frac{x^{8}}{u^{2}}}$
18686	Simplify	(x^2-36)/(x-6)	$\frac{x^{2} - 36}{x - 6}$
18687	Simplify	(x^(1/2))/x	$\frac{x^{\frac{1}{2}}}{x}$
18688	Simplify	(x^2)/(x^(2-4))-1/(x-2)	$\frac{x^{2}}{x^{2 - 4}} - \frac{1}{x - 2}$
18689	Simplify	1/0.059*(e^1.06-1)	$\frac{1}{0.059} \cdot (e^{1.06} - 1)$
18690	Simplify	1/2x-2	$\frac{1}{2} x - 2$
18691	Simplify	1/2sin(x)1/4*cos(2x)	$\frac{1}{2} \cdot \sin (x) \cdot \frac{1}{4} \cdot \cos (2 x)$
18692	Simplify	-1/14*1/( square root of 1-(x/14)^2)	$- \frac{1}{14} \cdot \frac{1}{\sqrt{1 - {(\frac{x}{14})}^{2}}}$
18693	Simplify	1/2x^(-1/2)*x^2	$\frac{1}{2} x^{- \frac{1}{2}} \cdot x^{2}$
18694	Simplify	-1/256x^8+1/16x^6-3/8x^4+x^2	$- \frac{1}{256} x^{8} + \frac{1}{16} x^{6} - \frac{3}{8} x^{4} + x^{2}$
18695	Simplify	1/(x^2)-1	$\frac{1}{x^{2}} - 1$
18696	Simplify	1/2x^(1/2)	$\frac{1}{2} x^{\frac{1}{2}}$
18697	Simplify	1/(2x)*x	$\frac{1}{2 x} \cdot x$
18698	Simplify	1/3x^3	$\frac{1}{3} x^{3}$
18699	Simplify	(x^3-5x^2)/(x-5)	$\frac{x^{3} - 5 x^{2}}{x - 5}$
18700	Simplify	(1.26pi)/(81pi)	$\frac{1.26 π}{81 π}$