Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204801	Simplify the Radical Expression	fourth root of 25x^2	$\sqrt[4]{25 x^{2}}$
204802	Evaluate	(1/7)^2*(-3)^3	${(\frac{1}{7})}^{2} \cdot {(- 3)}^{3}$
204803	Solve for x	x-7=(19-x)^(1/2)	$x - 7 = {(19 - x)}^{\frac{1}{2}}$
204804	Solve for x	3x^2+2x^2=35	$3 x^{2} + 2 x^{2} = 35$
204805	Simplify	0.04 square root of 72+0.05 square root of 98-1/5 square root of 50	$0.04 \sqrt{72} + 0.05 \sqrt{98} - \frac{1}{5} \sqrt{50}$
204806	Solve for g	9g+9-12g=19g+9	$9 g + 9 - 12 g = 19 g + 9$
204807	Simplify	3b+5ab+7ab-23b	$3 b + 5 a b + 7 a b - 23 b$
204808	Simplify	x+2+x+2+5x-1	$x + 2 + x + 2 + 5 x - 1$
204809	Write the Fraction in Simplest Form	(5n^3)/(3(n)^3)	$\frac{5 n^{3}}{3 {(n)}^{3}}$
204810	Simplify	(3-3cos(theta)^2)/(sin(theta))	$\frac{3 - 3 \cos^{2} (θ)}{\sin (θ)}$
204811	Solve the System of Equations	y=1/2x-5 x+y=1	$y = \frac{1}{2} x - 5$ $x + y = 1$
204812	Solve for t	4t(t-5)-2t(3t+2)+108=3t(2t-5)-t(8t-3)	$4 t (t - 5) - 2 t (3 t + 2) + 108 = 3 t (2 t - 5) - t (8 t - 3)$
204813	Solve for n	n=4 , a=81	$n = 4$ , $a = 81$
204814	Evaluate	5x^2y(2x^4y^-3)	$5 x^{2} y (2 x^{4} y^{- 3})$
204815	Simplify	(16x+8)/(4x+2)	$\frac{16 x + 8}{4 x + 2}$
204816	Simplify	5c^2(c+10)-4c(2c^2-6c+1)	$5 c^{2} (c + 10) - 4 c (2 c^{2} - 6 c + 1)$
204817	Simplify the Radical Expression	-3 square root of 24a^4b^2c^3	$- 3 \sqrt{24 a^{4} b^{2} c^{3}}$
204818	Simplify	7x^3y cube root of 8x^5y^10	$7 x^{3} y \sqrt[3]{8 x^{5} y^{10}}$
204819	Solve for y	x=2( cube root of 12+y)	$x = 2 (\sqrt[3]{12 + y})$
204820	Simplify	4/( cube root of 4)	$\frac{4}{\sqrt[3]{4}}$
204821	Graph	P(x)=-2(x-3)(x-11)	$P (x) = - 2 (x - 3) (x - 11)$
204822	Simplify	(8x-12)/-4	$\frac{8 x - 12}{- 4}$
204823	Find the Exact Value	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
204824	Evaluate Using the Given Value	x+5 if x=2	$x + 5$ if $x = 2$
204825	Simplify	n^22nn^2	$n^{2} \cdot 2 n \cdot n^{2}$
204826	Factor by Grouping	112xy-16x+128x^2-14y	$112 x y - 16 x + 128 x^{2} - 14 y$
204827	Graph	-x/2+5/2	$- \frac{x}{2} + \frac{5}{2}$
204828	Find All Complex Solutions	1/3x^4=27	$\frac{1}{3} x^{4} = 27$
204829	Simplify	2x(3x^2+4)-3x^3	$2 x (3 x^{2} + 4) - 3 x^{3}$
204830	Find the Roots (Zeros)	x=x^2	$x = x^{2}$
204831	Expand the Logarithmic Expression	log base 7 of ((5^2)/8)^6	$\log_{7} ({(\frac{5^{2}}{8})}^{6})$
204832	Multiply	-5ab*(a^2-2b)	$- 5 a b \cdot (a^{2} - 2 b)$
204833	Simplify the Radical Expression	( fourth root of x)^-1	${(\sqrt[4]{x})}^{- 1}$
204834	Simplify the Radical Expression	square root of 10/(13r^3)	$\sqrt{\frac{10}{13 r^{3}}}$
204835	Simplify	(6^2)/6*(6^12)/(6^8)	$\frac{6^{2}}{6} \cdot \frac{6^{12}}{6^{8}}$
204836	Simplify	( square root of 175x^2y^4)/( square root of y^4)	$\frac{\sqrt{175 x^{2} y^{4}}}{\sqrt{y^{4}}}$
204837	Simplify	fifth root of -1024/243	$\sqrt[5]{- \frac{1024}{243}}$
204838	Evaluate	(54^327^28)/(108^4*27)	$\frac{54^{3} \cdot 27^{2} \cdot 8}{108^{4} \cdot 27}$
204839	Simplify	3(2/3p+3-1/3p-5)	$3 (\frac{2}{3} p + 3 - \frac{1}{3} p - 5)$
204840	Simplify	( fifth root of 32)/( fifth root of m^3)	$\frac{\sqrt[5]{32}}{\sqrt[5]{m^{3}}}$
204841	Find the Exact Value	-5^-1	$- 5^{- 1}$
204842	Simplify	(x+3x)/2	$\frac{x + 3 x}{2}$
204843	Solve for n	-9/10=n-3/5	$- \frac{9}{10} = n - \frac{3}{5}$
204844	Simplify	square root of 5x* square root of 20x^12	$\sqrt{5 x} \cdot \sqrt{20 x^{12}}$
204845	Simplify	(x^3-5x^2-3x+15)/(x^2-8x+15)	$\frac{x^{3} - 5 x^{2} - 3 x + 15}{x^{2} - 8 x + 15}$
204846	Simplify the Radical Expression	cube root of 4* cube root of 16	$\sqrt[3]{4} \cdot \sqrt[3]{16}$
204847	Solve the Inequality for x	6x-2(x+1)>0	$6 x - 2 (x + 1) > 0$
204848	Find the Excluded Values	(2x^2+4x)/(x^2+5x+6)	$\frac{2 x^{2} + 4 x}{x^{2} + 5 x + 6}$
204849	Solve for n	(4n)/(5n+7)=2/3	$\frac{4 n}{5 n + 7} = \frac{2}{3}$
204850	Write in Exponential Form	( fifth root of 4mn)^2	${(\sqrt[5]{4 m n})}^{2}$
204851	Simplify	19m^8n^8-(4m^5n)(3m^3n^7)	$19 m^{8} n^{8} - (4 m^{5} n) (3 m^{3} n^{7})$
204852	Solve for w	square root of 6w-5+10=3	$\sqrt{6 w - 5} + 10 = 3$
204853	Divide	( square root of 32)÷( square root of 2)	$\sqrt{32} \div \sqrt{2}$
204854	Factor	P(x)=2x^3+12x^2-26x-84	$P (x) = 2 x^{3} + 12 x^{2} - 26 x - 84$
204855	Simplify	4y cube root of 81x^7y^7	$4 y \sqrt[3]{81 x^{7} y^{7}}$
204856	Evaluate	y+(2y^3)/(x^3-y^3)	$y + \frac{2 y^{3}}{x^{3} - y^{3}}$
204857	Simplify	(7-4k^2+k)+(8k+5k^2-7)	$(7 - 4 k^{2} + k) + (8 k + 5 k^{2} - 7)$
204858	Simplify	(x^3+x^6)^2	${(x^{3} + x^{6})}^{2}$
204859	Solve for x	(2(1-x))/(3x)=1-3/x	$\frac{2 (1 - x)}{3 x} = 1 - \frac{3}{x}$
204860	Solve the Inequality for x	x/-3-20<-25	$\frac{x}{- 3} - 20 < - 25$
204861	Simplify	(x)(x^5)(x)	$(x) (x^{5}) (x)$
204862	Find the Equation Using Slope-Intercept Form	(3,-2) ; slope 1/3	$(3, - 2)$ ; slope $\frac{1}{3}$
204863	Simplify	square root of 3^5* cube root of 3	$\sqrt{3^{5}} \cdot \sqrt[3]{3}$
204864	Graph	{(x,y)\|y=x^2}	${(x, y) \| y = x^{2}}$
204865	Solve for x	6x^(2/3)=2x	$6 x^{\frac{2}{3}} = 2 x$
204866	Find the Exact Value	((-6)(sin(pi/3))(sin(pi/3))+(6)(cos(pi/3))(cos(pi/3)))/((-6)(sin(pi/3))(cos(pi/3))-(6)cos(pi/3)sin(pi/3))	$\frac{((- 6) (\sin (\frac{π}{3})) (\sin (\frac{π}{3})) + (6) (\cos (\frac{π}{3})) (\cos (\frac{π}{3})))}{((- 6) (\sin (\frac{π}{3})) (\cos (\frac{π}{3})) - (6) \cos (\frac{π}{3}) \sin (\frac{π}{3}))}$
204867	Factor	3x(x-3y)+9y(3y-x)	$3 x (x - 3 y) + 9 y (3 y - x)$
204868	Solve for m	mx^2-36=(3x+6)(3x-6)	$m x^{2} - 36 = (3 x + 6) (3 x - 6)$
204869	Convert to Radical Form	(3xy)2/3	$(3 x y) \frac{2}{3}$
204870	Simplify	(12(x-1))/(2x)	$\frac{12 (x - 1)}{2 x}$
204871	Evaluate	(x^10)(x^5)^2	$(x^{10}) {(x^{5})}^{2}$
204872	Find the Roots (Zeros)	square root of 3x+1- square root of x+8=1	$\sqrt{3 x + 1} - \sqrt{x + 8} = 1$
204873	Solve for x	9=81^x	$9 = 81^{x}$
204874	Simplify	(x-1)/(x-2)-(x^2+4x-4)/(x^2+4x-12)	$\frac{x - 1}{x - 2} - \frac{x^{2} + 4 x - 4}{x^{2} + 4 x - 12}$
204875	Simplify	1/28x(10x^3+6x-8)-1/26x(8x^3+2x-4)	$\frac{1}{2} \cdot 8 x (10 x^{3} + 6 x - 8) - \frac{1}{2} \cdot 6 x (8 x^{3} + 2 x - 4)$
204876	Find All Complex Solutions	\|2x-4\|=\|x+1\|	$\| 2 x - 4 \| = \| x + 1 \|$
204877	Graph	6x+4y>12 3x-4y>8	$6 x + 4 y > 12$ $3 x - 4 y > 8$
204878	Find the Degree, Leading Term, and Leading Coefficient	f(x)=10x^3-8-5x-6x^2	$f (x) = 10 x^{3} - 8 - 5 x - 6 x^{2}$
204879	Solve for x	log base 6 of x^2-4- log base 6 of 3x+6=0	$\log_{6} (x^{2} - 4) - \log_{6} (3 x + 6) = 0$
204880	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^4-10x^2+8+9x	$f (x) = - x^{4} - 10 x^{2} + 8 + 9 x$
204881	Graph Using a Table of Values	f(x) = log base 2 of x+3	$f (x) = \log_{2} (x + 3)$
204882	Graph	y>=-1/2x+5 y>=3	$y \geq - \frac{1}{2} x + 5$ $y \geq 3$
204883	Simplify	( square root of 12x^4y^6)/( square root of x^4)	$\frac{\sqrt{12 x^{4} y^{6}}}{\sqrt{x^{4}}}$
204884	Evaluate	x^2=5	$x^{2} = 5$
204885	Solve the Rational Equation for x	square root of 2x=6	$\sqrt{2 x} = 6$
204886	Graph	-18 square root of 2x-1>-36	$- 18 \sqrt{2 x - 1} > - 36$
204887	Simplify	((2x+4)/5)÷((3x+6)/10)	$\frac{2 x + 4}{5} \div \frac{3 x + 6}{10}$
204888	Simplify	a^3(4a-3a^2)	$a^{3} (4 a - 3 a^{2})$
204889	Solve for x	log of x = log of 3+ log of 10	$\log (x) = \log (3) + \log (10)$
204890	Factor by Grouping	40-5t^3	$40 - 5 t^{3}$
204891	Solve for W	S=2LH+(2L+2H)W	$S = 2 L H + (2 L + 2 H) W$
204892	Solve for y	y+y/3=12	$y + \frac{y}{3} = 12$
204893	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3(x+1)(x-4)(x+5)	$f (x) = 3 (x + 1) (x - 4) (x + 5)$
204894	Simplify	(610^8)÷(1.510^-4)	$(6 \cdot 10^{8}) \div (1.5 \cdot 10^{- 4})$
204895	Simplify	(sin(theta)^2)/(cos(theta))+(cos(theta)^2)/(cos(theta))	$\frac{\sin^{2} (θ)}{\cos (θ)} + \frac{\cos^{2} (θ)}{\cos (θ)}$
204896	Evaluate	(8x+5)+(-x^2-8)	$(8 x + 5) + (- x^{2} - 8)$
204897	Find the Exact Value	csc(45 degrees )cot(30 degrees )	$\csc (45 °) \cot (30 °)$
204898	Find the Degree	-7+5m^3+9m-3m^2	$- 7 + 5 m^{3} + 9 m - 3 m^{2}$
204899	Evaluate the Function	f(x)=x^3-2x^2+4x+3 for x=2	$f (x) = x^{3} - 2 x^{2} + 4 x + 3$ for $x = 2$
204900	Solve by Substitution	y=5x-7 and -3x-2y=-12	$y = 5 x - 7$ and $- 3 x - 2 y = - 12$