Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208701	Solve for x	natural log of x+1=0	$\ln (x) + 1 = 0$
208702	Solve for x	2/(x+n)=n/(x+3)	$\frac{2}{x + n} = \frac{n}{x + 3}$
208703	Simplify the Radical Expression	(b^2)^(1/9)	${(b^{2})}^{\frac{1}{9}}$
208704	Write in Slope-Intercept Form	2x-y<1	$2 x - y < 1$
208705	Simplify	5(43-6)	$5 (43 - 6)$
208706	Solve the Inequality for b	-3b<=0.75	$- 3 b \leq 0.75$
208707	Evaluate	- log of 2*10^-2	$- \log (2) \cdot 10^{- 2}$
208708	Evaluate	3((2pi)/3)	$3 (\frac{2 π}{3})$
208709	Graph	f(x)=4x-9-x^3	$f (x) = 4 x - 9 - x^{3}$
208710	Solve for x	1/(3x^2)=(x+3)/(2x^2)-1/(6x^2)	$\frac{1}{3 x^{2}} = \frac{x + 3}{2 x^{2}} - \frac{1}{6 x^{2}}$
208711	Simplify the Radical Expression	(3/(2p^2))^(2/3)	${(\frac{3}{2 p^{2}})}^{\frac{2}{3}}$
208712	Simplify the Radical Expression	y square root of 28x^2y+2 square root of 18xy^3-4 square root of 27x^2y^2	$y \sqrt{28 x^{2} y} + 2 \sqrt{18 x y^{3}} - 4 \sqrt{27 x^{2} y^{2}}$
208713	Simplify the Radical Expression	square root of (56x^5y^5)/(7xy)	$\sqrt{\frac{56 x^{5} y^{5}}{7 x y}}$
208714	Simplify	square root of (2- square root of 5)^2+ square root of (2+ square root of 5)^2	$\sqrt{{(2 - \sqrt{5})}^{2}} + \sqrt{{(2 + \sqrt{5})}^{2}}$
208715	Evaluate	26/5226/5125/50	$\frac{26}{52} \cdot \frac{26}{51} \cdot \frac{25}{50}$
208716	Solve for x	3/(5x+10)=x/(x+2)	$\frac{3}{5 x + 10} = \frac{x}{x + 2}$
208717	Simplify	(2x+10)/(x^2+x-2)+2/(x+2)+x/(x-1)	$\frac{2 x + 10}{x^{2} + x - 2} + \frac{2}{x + 2} + \frac{x}{x - 1}$
208718	Evaluate	( fifth root of 96a^7)/( fifth root of 3a^2)	$\frac{\sqrt[5]{96 a^{7}}}{\sqrt[5]{3 a^{2}}}$
208719	Solve for x	1/2(2x-6)=x-3	$\frac{1}{2} (2 x - 6) = x - 3$
208720	Divide Using Long Polynomial Division	(-15x^5+10x^4+15x^2-37x+18)÷(3x-2)	$(- 15 x^{5} + 10 x^{4} + 15 x^{2} - 37 x + 18) \div (3 x - 2)$
208721	Divide Using Long Polynomial Division	(6x^3+x-1)÷(x+2)	$(6 x^{3} + x - 1) \div (x + 2)$
208722	Find the x and y Intercepts	y=8x-1/x-7	$y = 8 x - \frac{1}{x} - 7$
208723	Simplify the Radical Expression	square root of (121a^2b^2)/(9h^4)	$\sqrt{\frac{121 a^{2} b^{2}}{9 h^{4}}}$
208724	Simplify	((x^3y^-2)/(z^-5))^-4	${(\frac{x^{3} y^{- 2}}{z^{- 5}})}^{- 4}$
208725	Graph	f(x)=sin(x)-cos(x)	$f (x) = \sin (x) - \cos (x)$
208726	Find the Inverse	V(r)=4/3pir^3	$V (r) = \frac{4}{3} π r^{3}$
208727	Solve for x	square root of 4x+3 = square root of 9x+13	$\sqrt{4 x} + 3 = \sqrt{9 x + 13}$
208728	Solve for x	3x(2x-4)=0	$3 x (2 x - 4) = 0$
208729	Solve for x	(2x^2)/(x-2)=(-7x+6)/(2-x)	$\frac{2 x^{2}}{x - 2} = \frac{- 7 x + 6}{2 - x}$
208730	Solve by Substitution	b=3/4a a+b=21	$b = \frac{3}{4} a$ $a + b = 21$
208731	Solve for b	square root of b-6+ square root of b=3	$\sqrt{b - 6} + \sqrt{b} = 3$
208732	Convert to a Percentage	0.4 as a percentage	$0.4$ as a percentage
208733	Write in Slope-Intercept Form	(7,2) and (2,12)	$(7, 2)$ and $(2, 12)$
208734	Evaluate	1/( cube root of x^4)	$\frac{1}{\sqrt[3]{x^{4}}}$
208735	Solve for b	(b^2)=b^8	$(b^{2}) = b^{8}$
208736	Solve for a	29=a^2	$29 = a^{2}$
208737	Solve for x	x/(x-2)+x/(x^2-4)=0	$\frac{x}{x - 2} + \frac{x}{x^{2} - 4} = 0$
208738	Evaluate	(3^-2a^0)/(b^-2)	$\frac{3^{- 2} a^{0}}{b^{- 2}}$
208739	Simplify	7(3x-4(2-x))	$7 (3 x - 4 (2 - x))$
208740	Subtract	(3m-4n-7)-(8m+n-6)	$(3 m - 4 n - 7) - (8 m + n - 6)$
208741	Solve for m	square root of 18-2m = square root of 2m-10	$\sqrt{18 - 2 m} = \sqrt{2 m - 10}$
208742	Solve for x	log base 3 of 2x^2+4- log base 3 of 3x+6=0	$\log_{3} (2 x^{2} + 4) - \log_{3} (3 x + 6) = 0$
208743	Solve by Addition/Elimination	6w-8z=16 3w-4z=8	$6 w - 8 z = 16$ $3 w - 4 z = 8$
208744	Simplify	( fourth root of 2^-2)/( sixth root of 2^-9)	$\frac{\sqrt[4]{2^{- 2}}}{\sqrt[6]{2^{- 9}}}$
208745	Simplify	-x^2z(2z^2+4xz^3)+xz^2(xz+5x^3z)+x^2z^3(3x^2z+4xz)	$- x^{2} z (2 z^{2} + 4 x z^{3}) + x z^{2} (x z + 5 x^{3} z) + x^{2} z^{3} (3 x^{2} z + 4 x z)$
208746	Solve for x	-3/(x+3)+1/2=x/6-1/2	$\frac{- 3}{x + 3} + \frac{1}{2} = \frac{x}{6} - \frac{1}{2}$
208747	Divide	(12 square root of 48)/(4 square root of 3)	$\frac{12 \sqrt{48}}{4 \sqrt{3}}$
208748	Solve for x	2(3x+5)=2(2x-3)+2x	$2 (3 x + 5) = 2 (2 x - 3) + 2 x$
208749	Simplify	(x^4y^5)/(x^2y^5)	$\frac{x^{4} y^{5}}{x^{2} y^{5}}$
208750	Simplify	x^0y^-2	$x^{0} y^{- 2}$
208751	Solve for y	y=200+150+50-30	$y = 200 + 150 + 50 - 30$
208752	Solve for m	25=-5+2/3m	$25 = - 5 + \frac{2}{3} m$
208753	Convert to Rectangular	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
208754	Solve for x	(x+3)/3=(10+4)/4	$\frac{x + 3}{3} = \frac{10 + 4}{4}$
208755	Solve for x	9/2=(7x-8)/(x+1)	$\frac{9}{2} = \frac{7 x - 8}{x + 1}$
208756	Simplify	( fifth root of -21)^6	${(\sqrt[5]{- 21})}^{6}$
208757	Solve for x	2^x>=32	$2^{x} \geq 32$
208758	Solve the Inequality for x	-7(x-2)+1<x	$- 7 (x - 2) + 1 < x$
208759	Find the x and y Intercepts	(x^2-5x)/(2x^2)	$\frac{x^{2} - 5 x}{2 x^{2}}$
208760	Find the Product	(2x+5y)(3x^2-4xy+2y^2)	$(2 x + 5 y) (3 x^{2} - 4 x y + 2 y^{2})$
208761	Simplify	( square root of 108-6 square root of 3)^2	${(\sqrt{108} - 6 \sqrt{3})}^{2}$
208762	Graph	y=-2-4sin(pi/2(x-1/3))	$y = - 2 - 4 \sin (\frac{π}{2} (x - \frac{1}{3}))$
208763	Write in Standard Form	(8x^2+8x)-(-9x^2+8x)	$(8 x^{2} + 8 x) - (- 9 x^{2} + 8 x)$
208764	Simplify	(2x^3+x^2-4x)-(9x^3-3x^2)	$(2 x^{3} + x^{2} - 4 x) - (9 x^{3} - 3 x^{2})$
208765	Find the Roots (Zeros)	f(x)=(x^2-1)(9x^2+16x+21)	$f (x) = (x^{2} - 1) (9 x^{2} + 16 x + 21)$
208766	Solve for v	v^3=216	$v^{3} = 216$
208767	Solve for x	(x-6)^2-x(x+8)=2	${(x - 6)}^{2} - x (x + 8) = 2$
208768	Solve for m	7(2m-1)-3/5m=6/5(4-3m)	$7 (2 m - 1) - \frac{3}{5} m = \frac{6}{5} (4 - 3 m)$
208769	Find the Roots (Zeros)	x^6-15=5x^4-x^2	$x^{6} - 15 = 5 x^{4} - x^{2}$
208770	Solve the Inequality for h	-5h>-250	$- 5 h > - 250$
208771	Simplify	29u+4d-13u+2u+7d	$29 u + 4 d - 13 u + 2 u + 7 d$
208772	Divide	(6 square root of 15)÷2 square root of 5	$6 \sqrt{15} \div 2 \sqrt{5}$
208773	Find the Degree	(x^3y^5)/9+y	$\frac{x^{3} y^{5}}{9} + y$
208774	Simplify	x^2+2-1+6x^2-4x^2	$x^{2} + 2 - 1 + 6 x^{2} - 4 x^{2}$
208775	Simplify	((-12x^3y^4)/(4x^3y^4))^2	${(\frac{- 12 x^{3} y^{4}}{4 x^{3} y^{4}})}^{2}$
208776	Solve for y	square root of y+ square root of y+2=6	$\sqrt{y + \sqrt{y + 2}} = 6$
208777	Solve for x	(2x)/(x-1)=5/(x-3)	$\frac{2 x}{x - 1} = \frac{5}{x - 3}$
208778	Graph	y=2tan(4)(x-pi)-1	$y = 2 \tan (4) (x - π) - 1$
208779	Solve for x	square root of 4x+3 = square root of 7x	$\sqrt{4 x + 3} = \sqrt{7 x}$
208780	Find the Holes in the Graph	(4x^2-4x)/(3x^2+4x-7)	$\frac{4 x^{2} - 4 x}{3 x^{2} + 4 x - 7}$
208781	Graph	x+y>=1 x+2y>1	$x + y \geq 1$ $x + 2 y > 1$
208782	Divide	(3c^4+6c^3-2c+4)(c+2)^-1	$(3 c^{4} + 6 c^{3} - 2 c + 4) {(c + 2)}^{- 1}$
208783	Graph	7x+4y>=-32 x-y<-3	$7 x + 4 y \geq - 32$ $x - y < - 3$
208784	Evaluate	(10x^2+3x+9)+(5x^2+x+4)	$(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)$
208785	Simplify	(16a^(1/8)b^-6c^(3/5))/(2^3a^(3/8)b^(-1/5)c^(2/5))	$\frac{16 a^{\frac{1}{8}} b^{- 6} c^{\frac{3}{5}}}{2^{3} a^{\frac{3}{8}} b^{- \frac{1}{5}} c^{\frac{2}{5}}}$
208786	Solve the System of Equations	h-z=3 -3h+3z=6	$h - z = 3$ $- 3 h + 3 z = 6$
208787	Simplify	cube root of 125x^7* fourth root of 256x^3	$\sqrt[3]{125 x^{7}} \cdot \sqrt[4]{256 x^{3}}$
208788	Solve for x	4=(6-2x)^(1/2)	$4 = {(6 - 2 x)}^{\frac{1}{2}}$
208789	Solve for f	P_n=L+(si)/f	$P_{n} = L + \frac{s i}{f}$
208790	Simplify	f(x)=(x^3-15x^2+71x-105)/24+(-(x^3-11x^2+31x-21))/8+(-4x^2+24x-20)/16	$f (x) = \frac{x^{3} - 15 x^{2} + 71 x - 105}{24} + \frac{- (x^{3} - 11 x^{2} + 31 x - 21)}{8} + \frac{- 4 x^{2} + 24 x - 20}{16}$
208791	Solve for x	6+3x = square root of 2x+12+2x	$6 + 3 x = \sqrt{2 x + 12} + 2 x$
208792	Simplify	a^3*(a^2b)^4	$a^{3} \cdot {(a^{2} b)}^{4}$
208793	Find the Roots (Zeros)	(x+3)(x^2-x-12)	$(x + 3) (x^{2} - x - 12)$
208794	Solve the Inequality for x	2x+3y<=6	$2 x + 3 y \leq 6$
208795	Evaluate Using the Given Value	8x^3+15x^2-7x-5 at x=1	$8 x^{3} + 15 x^{2} - 7 x - 5$ at $x = 1$
208796	Simplify	(2x^3y^4)/((2yx^-1)^4)	$\frac{2 x^{3} y^{4}}{{(2 y x^{- 1})}^{4}}$
208797	Describe the Transformation	y=2f(x)-3	$y = 2 f (x) - 3$
208798	Write in Exponential Form	fourth root of x^3- fourth root of x	$\sqrt[4]{x^{3}} - \sqrt[4]{x}$
208799	Solve for x	1/2-7/x=5/(2x)	$\frac{1}{2} - \frac{7}{x} = \frac{5}{2 x}$
208800	Solve by Graphing	2x+y=4 -4x-2y=-8	$2 x + y = 4$ $- 4 x - 2 y = - 8$