Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
203601	Simplify	1/210x(7x^3+5x)-1/23x(4x^3+2x)	$\frac{1}{2} \cdot 10 x (7 x^{3} + 5 x) - \frac{1}{2} \cdot 3 x (4 x^{3} + 2 x)$
203602	Evaluate	(3^24)÷18+306-1	$3^{2} \cdot 4 \div 18 + 30 \cdot 6 - 1$
203603	Solve for x	3^(4x-5)<8	$3^{4 x - 5} < 8$
203604	Solve for u	-1-3u+11u=-14+9u	$- 1 - 3 u + 11 u = - 14 + 9 u$
203605	Solve for x	2(8^x)=128	$2 (8^{x}) = 128$
203606	Simplify	(x^2-4)/(1-6x)	$\frac{x^{2} - 4}{1 - 6 x}$
203607	Solve for c	-3.2c=0.6-2.8c	$- 3.2 c = 0.6 - 2.8 c$
203608	Solve for x	f(x)=0	$f (x) = 0$
203609	Simplify	((99x)/100)(10/33)	$(\frac{99 x}{100}) (\frac{10}{33})$
203610	Simplify	-7+12-11x+8x	$- 7 + 12 - 11 x + 8 x$
203611	Simplify	(1/(y^-1*y^2))^(3/4)	${(\frac{1}{y^{- 1} \cdot y^{2}})}^{\frac{3}{4}}$
203612	Simplify	(-7m^6n^4)^2-(4m^3n^2)^4	${(- 7 m^{6} n^{4})}^{2} - {(4 m^{3} n^{2})}^{4}$
203613	Evaluate	2/3(y+2)-5/6(y-1)=5/4(y-3)-4	$\frac{2}{3} (y + 2) - \frac{5}{6} (y - 1) = \frac{5}{4} (y - 3) - 4$
203614	Graph	-4<=x-5<-1	$- 4 \leq x - 5 < - 1$
203615	Solve for x	8(1-x)-2(x+1)=3(2-2x)	$8 (1 - x) - 2 (x + 1) = 3 (2 - 2 x)$
203616	Solve for r	m = square root of (6a+r)/(5r)	$m = \sqrt{\frac{6 a + r}{5 r}}$
203617	Solve for y	-4(1-0.1y)=0.8y	$- 4 (1 - 0.1 y) = 0.8 y$
203618	Evaluate	((-2^2)^38)/(4^4(0.5)^3)	$\frac{{(- 2^{2})}^{3} \cdot 8}{4^{4} \cdot {(0.5)}^{3}}$
203619	Solve for g	-3 1/3=-1/2g	$- 3 \frac{1}{3} = - \frac{1}{2} g$
203620	Solve for z	3=2+2/(z+2)	$3 = 2 + \frac{2}{z + 2}$
203621	Solve for u	4+3u=-20-9u+14u	$4 + 3 u = - 20 - 9 u + 14 u$
203622	Evaluate	(7/5)(2)(4/3)	$(\frac{7}{5}) (2) (\frac{4}{3})$
203623	Graph	4x-3>9 or -8x>=16	$4 x - 3 > 9$ or $- 8 x \geq 16$
203624	Solve for y	256^y*16^(y-1)=4^(2y-22)	$256^{y} \cdot 16^{y - 1} = 4^{2 y - 22}$
203625	Solve for x	square root of 5-x- square root of x=1	$\sqrt{5 - x} - \sqrt{x} = 1$
203626	Simplify	(6a^3b^-2)(-4ab^-8)	$(6 a^{3} b^{- 2}) (- 4 a b^{- 8})$
203627	Simplify	(2x^3+11x^2-21x)/(x^2+3x)	$\frac{2 x^{3} + 11 x^{2} - 21 x}{x^{2} + 3 x}$
203628	Solve for a	R=1/3s(a-b)	$R = \frac{1}{3} s (a - b)$
203629	Solve for x	square root of x^2-6x+9+2x=9	$\sqrt{x^{2} - 6 x + 9} + 2 x = 9$
203630	Simplify	((r^-1s^2t^-3)/(r^-2s^0t^1))^-1	${(\frac{r^{- 1} s^{2} t^{- 3}}{r^{- 2} s^{0} t^{1}})}^{- 1}$
203631	Evaluate	( log base a of 32)÷( log base a of 4)	$\log_{a} (32) \div \log_{a} (4)$
203632	Simplify the Radical Expression	i^49	$i^{49}$
203633	Solve for a	square root of 2a-1- square root of a+4=0	$\sqrt{2 a - 1} - \sqrt{a + 4} = 0$
203634	Solve the System of Inequalities	3x-91>-87 and 17x-16>18	$3 x - 91 > - 87$ and $17 x - 16 > 18$
203635	Find the Product	(x+2y+3z)^2	${(x + 2 y + 3 z)}^{2}$
203636	Simplify	Find the sum of 6x^2+10x-1 and -5x^2-2x+1	Find the sum of $6 x^{2} + 10 x - 1$ and $- 5 x^{2} - 2 x + 1$
203637	Find the Exact Value	sec(675 degrees )	$\sec (675 °)$
203638	Simplify	10/(pr)-4/r	$\frac{10}{p r} - \frac{4}{r}$
203639	Simplify	-3/5(-8+5/9x-3)	$- \frac{3}{5} (- 8 + \frac{5}{9} x - 3)$
203640	Determine if a Polynomial	3+2x^4+4x^6-x^2	$3 + 2 x^{4} + 4 x^{6} - x^{2}$
203641	Solve for x	(1/81)^(3x+36)=(1/9)^(3x^2-9x)	${(\frac{1}{81})}^{3 x + 36} = {(\frac{1}{9})}^{3 x^{2} - 9 x}$
203642	Solve by Substitution	-2x+y=0 5x+3y=-11	$- 2 x + y = 0$ $5 x + 3 y = - 11$
203643	Simplify	10 root of r^-8*r^3	$\sqrt[10]{r^{- 8} \cdot r^{3}}$
203644	Solve the Inequality for x	1/2(x-2)^2-2>0	$\frac{1}{2} {(x - 2)}^{2} - 2 > 0$
203645	Evaluate	(1/16)^0.5	${(\frac{1}{16})}^{0.5}$
203646	Solve for x	x^3-7x^2=-12x	$x^{3} - 7 x^{2} = - 12 x$
203647	Simplify	((x^2+x^3)/(11a^2))÷((4+4x)/(a^3))	$\frac{x^{2} + x^{3}}{11 a^{2}} \div \frac{4 + 4 x}{a^{3}}$
203648	Simplify	( square root of 175y^13)/( square root of y^3)	$\frac{\sqrt{175 y^{13}}}{\sqrt{y^{3}}}$
203649	Simplify the Radical Expression	7 cube root of m^7+3m^(7/3)	$7 \sqrt[3]{m^{7}} + 3 m^{\frac{7}{3}}$
203650	Solve for x	square root of x^2-2 = square root of x+4	$\sqrt{x^{2} - 2} = \sqrt{x + 4}$
203651	Write in Exponential Form	(n root of a)/(n root of b)	$\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$
203652	Evaluate	(8/4)^3-3^2	${(\frac{8}{4})}^{3} - 3^{2}$
203653	Simplify	(-10g^6h^9(g^2h^3))/(30g^3h^3)	$\frac{- 10 g^{6} h^{9} (g^{2} h^{3})}{30 g^{3} h^{3}}$
203654	Solve the Inequality for c	5+c<=1	$5 + c \leq 1$
203655	Multiply	2 square root of 5* square root of 7	$2 \sqrt{5} \cdot \sqrt{7}$
203656	Simplify	(2x^2-18x)/(3x+12)*(x+4)/(x-9)	$\frac{2 x^{2} - 18 x}{3 x + 12} \cdot \frac{x + 4}{x - 9}$
203657	Convert to a Decimal	13rad	$13$ radians
203658	Graph	x+3y<3 x-2y>=4	$x + 3 y < 3$ $x - 2 y \geq 4$
203659	Evaluate	(3n^4)/(3n^3)	$\frac{3 n^{4}}{3 n^{3}}$
203660	Simplify	cube root of (9x^6)/(y^3z^9)	$\sqrt[3]{\frac{9 x^{6}}{y^{3} z^{9}}}$
203661	Solve for x	10^(2x^2-6)=(1/100)^(-4x-2)	$10^{2 x^{2} - 6} = {(\frac{1}{100})}^{- 4 x - 2}$
203662	Solve the System of Equations	y=2x^2-5x+9 y=2x^2+5x-1	$y = 2 x^{2} - 5 x + 9$ $y = 2 x^{2} + 5 x - 1$
203663	Identify the Zeros and Their Multiplicities	-2x(3x+1)^2(x+7)^7	$- 2 x {(3 x + 1)}^{2} {(x + 7)}^{7}$
203664	Solve for x	cube root of x+7>=3	$\sqrt[3]{x + 7} \geq 3$
203665	Solve for c	0.5+3(5c-0.7)=13c	$0.5 + 3 (5 c - 0.7) = 13 c$
203666	Factor	-4(x+1)+6x	$- 4 (x + 1) + 6 x$
203667	Evaluate	1/8+2 3/4+1/2	$\frac{1}{8} + 2 \frac{3}{4} + \frac{1}{2}$
203668	Simplify	((2r^5w^3)/(r^4w^3))^4	${(\frac{2 r^{5} w^{3}}{r^{4} w^{3}})}^{4}$
203669	Solve for y	5y-(2(y+1)+2)=7y	$5 y - (2 (y + 1) + 2) = 7 y$
203670	Simplify	square root of 4x^2+2x+1/4	$\sqrt{4 x^{2} + 2 x + \frac{1}{4}}$
203671	Solve for θ	cot(theta)=1/( square root of 3)	$\cot (θ) = \frac{1}{\sqrt{3}}$
203672	Convert to Radical Form	(3x+4)^(-5/4)	${(3 x + 4)}^{- \frac{5}{4}}$
203673	Simplify	3x^0y	$3 x^{0} y$
203674	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x^3-7x	$f (x) = 9 x^{3} - 7 x$
203675	Evaluate	((3x)/2)^4	${(\frac{3 x}{2})}^{4}$
203676	Solve for x	square root of x-5+x=3	$\sqrt{x - 5} + x = 3$
203677	Simplify the Radical Expression	2 square root of 8p^2q^3r	$2 \sqrt{8 p^{2} q^{3} r}$
203678	Simplify	17(1/6x-1)+1/6x	$17 (\frac{1}{6} x - 1) + \frac{1}{6} x$
203679	Solve for a	b=h/a for a	$b = \frac{h}{a}$ for $a$
203680	Simplify	((c^-3)^2d^4)/(d^-2)	$\frac{{(c^{- 3})}^{2} d^{4}}{d^{- 2}}$
203681	Simplify	square root of 8x^3+ square root of 2x^5-3 square root of 50x	$\sqrt{8 x^{3}} + \sqrt{2 x^{5}} - 3 \sqrt{50 x}$
203682	Simplify	-3w^-2*2r^-3	$- 3 w^{- 2} \cdot 2 r^{- 3}$
203683	Simplify	((((4x^-1)^(1/2))^(-2/3))^-1)^3	${({({({(4 x^{- 1})}^{\frac{1}{2}})}^{- \frac{2}{3}})}^{- 1})}^{3}$
203684	Multiply	(x^2y^3z^5)(5x^3y^2)	$(x^{2} y^{3} z^{5}) (5 x^{3} y^{2})$
203685	Solve for x	x^2+3x+7=-\|2x\|+12	$x^{2} + 3 x + 7 = - \| 2 x \| + 12$
203686	Solve for n	square root of n-15=3- square root of n	$\sqrt{n - 15} = 3 - \sqrt{n}$
203687	Simplify	( cube root of x^8)/((x^4)^(1/3))	$\frac{\sqrt[3]{x^{8}}}{{(x^{4})}^{\frac{1}{3}}}$
203688	Simplify	(8a-18)/(3a^2+14a+8)+7/(3a+2)	$\frac{8 a - 18}{3 a^{2} + 14 a + 8} + \frac{7}{3 a + 2}$
203689	Describe the Transformation	y=-3 square root of x	$y = - 3 \sqrt{x}$
203690	Solve for w	-2/3w+5=4	$- \frac{2}{3} w + 5 = 4$
203691	Multiply	m^4*2m^-3	$m^{4} \cdot 2 m^{- 3}$
203692	Simplify	x/(2- square root of 3)	$\frac{x}{2 - \sqrt{3}}$
203693	Simplify	(-3a^3)^2(2ab)^4	${(- 3 a^{3})}^{2} {(2 a b)}^{4}$
203694	Simplify the Radical Expression	( fourth root of 2)(2 fourth root of 32)	$(\sqrt[4]{2}) (2 \sqrt[4]{32})$
203695	Convert to Rectangular	(4(cos((9pi)/4)+isin((9pi)/4)))÷2(cos((3pi)/2)+isin((3pi)/2))	$4 (\cos (\frac{9 π}{4}) + i \sin (\frac{9 π}{4})) \div 2 (\cos (\frac{3 π}{2}) + i \sin (\frac{3 π}{2}))$
203696	Find the End Behavior	f(x)=-9x^5-1440x^2+2160x-1152+360x^3	$f (x) = - 9 x^{5} - 1440 x^{2} + 2160 x - 1152 + 360 x^{3}$
203697	Describe the Transformation	f(x)=-1/5\|x-3\|+7	$f (x) = - \frac{1}{5} \| x - 3 \| + 7$
203698	Solve for r	square root of r=12	$\sqrt{r} = 12$
203699	Write in Slope-Intercept Form	5x-y>=0	$5 x - y \geq 0$
203700	Factor	63x^4y-9x^2y^3	$63 x^{4} y - 9 x^{2} y^{3}$