Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46701	Evaluate	1/2a^-4b^2	$\frac{1}{2} a^{- 4} b^{2}$
46702	Simplify	8/(y-3)+(2y-5)/(y^2-12y+27)	$\frac{8}{y - 3} + \frac{2 y - 5}{y^{2} - 12 y + 27}$
46703	Simplify	(4+ square root of 36)/2	$\frac{4 + \sqrt{36}}{2}$
46704	Write in Standard Form	7m^2-m+8m^4+6m^3	$7 m^{2} - m + 8 m^{4} + 6 m^{3}$
46705	Simplify	( square root of 2x)/( cube root of 2x)	$\frac{\sqrt{2 x}}{\sqrt[3]{2 x}}$
46706	Solve Using the Quadratic Formula	7x+x^2=-4	$7 x + x^{2} = - 4$
46707	Write in Exponential Form	( cube root of x^5)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{5}}}{\sqrt[5]{x^{2}}}$
46708	Convert to Interval Notation	x<5 and x>-1	$x < 5$ and $x > - 1$
46709	Evaluate	log of x=1	$\log (x) = 1$
46710	Evaluate	3x+1/2(2x+6)=6x+1	$3 x + \frac{1}{2} (2 x + 6) = 6 x + 1$
46711	Simplify	(-20t^5u^2v^3)/(48t^7u^4v)	$\frac{- 20 t^{5} u^{2} v^{3}}{48 t^{7} u^{4} v}$
46712	Simplify	(1/(x^3))÷(5/(x^2))	$\frac{1}{x^{3}} \div \frac{5}{x^{2}}$
46713	Find the 5th Term	2/3 , 1/3 , 1/6 , 1/12	$\frac{2}{3}$ , $\frac{1}{3}$ , $\frac{1}{6}$ , $\frac{1}{12}$
46714	Solve for x	4(1/3)^x<36	$4 {(\frac{1}{3})}^{x} < 36$
46715	Evaluate the Integral	integral of (5x-1) square root of x with respect to x	$\int (5 x - 1) \sqrt{x} d x$
46716	Write in Standard Form	16x^2-4y^2=12y-16x+1	$16 x^{2} - 4 y^{2} = 12 y - 16 x + 1$
46717	Solve for a	m+4a=5	$m + 4 a = 5$
46718	Graph Using a Table of Values	y=x^-4	$y = x^{- 4}$
46719	Evaluate	20% of 500	$20 %$ of $500$
46720	Simplify	(k+10)*(k+10)/(3k^2+30k)	$(k + 10) \cdot \frac{k + 10}{3 k^{2} + 30 k}$
46721	Find the Domain	(4x-1)^(7/2)	${(4 x - 1)}^{\frac{7}{2}}$
46722	Simplify	(2x^2+5x-3)+(5x-3)+(6x^2+2)	$(2 x^{2} + 5 x - 3) + (5 x - 3) + (6 x^{2} + 2)$
46723	Evaluate	4pi*45/360	$4 π \cdot \frac{45}{360}$
46724	Factor by Grouping	40xy+15y^2	$40 x y + 15 y^{2}$
46725	Evaluate	(7 square root of 3)/3*2	$\frac{7 \sqrt{3}}{3} \cdot 2$
46726	Evaluate the Function	f(x)=(x^2-18x+81)/(x-9) , a=9	$f (x) = \frac{x^{2} - 18 x + 81}{x - 9}$ , $a = 9$
46727	Solve the Inequality for x	-9<3+2x<13	$- 9 < 3 + 2 x < 13$
46728	Evaluate the Summation	3 sum from p=3 to 8 of 5-p	$3 \sum_{p = 3}^{8} 5 - p$
46729	Solve the Inequality for x	4(1/3)^x<36	$4 {(\frac{1}{3})}^{x} < 36$
46730	Find the Derivative - d/dx	picos(pix)	$π \cos (π x)$
46731	Divide	(-2/5)÷(-9/4)	$- \frac{2}{5} \div (- \frac{9}{4})$
46732	Evaluate the Limit	limit as x approaches -1 from the right of F(x)	$lim_{x \to {(- 1)}^{+}} F (x)$
46733	Solve the Triangle	tri{15}{}{}{}{9}{106}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 106 \end{matrix} \end{matrix}$
46734	Simplify	(3x+9)/(4x^4)*(2x^2+4x)/(x^2+10x+21)	$\frac{3 x + 9}{4 x^{4}} \cdot \frac{2 x^{2} + 4 x}{x^{2} + 10 x + 21}$
46735	Simplify the Radical Expression	( cube root of 108)÷( cube root of 2)	$\sqrt[3]{108} \div \sqrt[3]{2}$
46736	Subtract	8x^2-5x+9-9x-7	$8 x^{2} - 5 x + 9 - 9 x - 7$
46737	Find the Exact Value	1/2*( square root of 2)/2	$\frac{1}{2} \cdot \frac{\sqrt{2}}{2}$
46738	Simplify	-(-2u+8)-3/4u	$- (- 2 u + 8) - \frac{3}{4} u$
46739	Evaluate	(11^2-10^2)*3	$(11^{2} - 10^{2}) \cdot 3$
46740	Solve for x	x^2-11=x+9	$x^{2} - 11 = x + 9$
46741	Find the Domain	y = square root of x-3+1/(x-3)	$y = \sqrt{x - 3} + \frac{1}{x - 3}$
46742	Evaluate the Derivative at x=2	y(x)=e^(x^3-8) , x=2	$y (x) = e^{x^{3} - 8}$ , $x = 2$
46743	Find the Center and Radius	x^2-8x+y^2+6x=0	$x^{2} - 8 x + y^{2} + 6 x = 0$
46744	Subtract	12 1/2-(-4 1/2)	$12 \frac{1}{2} - (- 4 \frac{1}{2})$
46745	Solve the Inequality for x	3x+1>2x-5>x-7	$3 x + 1 > 2 x - 5 > x - 7$
46746	Solve for x	12/(2-x)=15/(7+x)	$\frac{12}{2 - x} = \frac{15}{7 + x}$
46747	Find g(f(n))	g(n)=n+3 f(n)=3n^3-3n	$g (n) = n + 3$ $f (n) = 3 n^{3} - 3 n$
46748	Write in Standard Form	(x-6)(x+3)=x(2x-5)	$(x - 6) (x + 3) = x (2 x - 5)$
46749	Simplify	(x^(1/2)*x^(-3/4))/(x^(1/4))	$\frac{x^{\frac{1}{2}} \cdot x^{- \frac{3}{4}}}{x^{\frac{1}{4}}}$
46750	Solve for n	5/6(12n-18)=17+10n	$\frac{5}{6} (12 n - 18) = 17 + 10 n$
46751	Simplify	( cube root of 3q^7)( cube root of 32q^3)	$(\sqrt[3]{3 q^{7}}) (\sqrt[3]{32 q^{3}})$
46752	Evaluate the Integral	integral from 0 to k of x/(x^2+4) with respect to x=1/2 natural log of 4	$\int_{0}^{k} \frac{x}{x^{2} + 4} d x = \frac{1}{2} \ln (4)$
46753	Simplify the Radical Expression	-5x^-3	$- 5 x^{- 3}$
46754	Find the Exact Value	\|1+i\|	$\| 1 + i \|$
46755	Simplify	2/3 square root of -72	$\frac{2}{3} \sqrt{- 72}$
46756	Rationalize the Denominator	(2x cube root of 2)/( cube root of 4x^2)	$\frac{2 x \sqrt[3]{2}}{\sqrt[3]{4 x^{2}}}$
46757	Solve for x	e^(sin(x))=0	$e^{\sin (x)} = 0$
46758	Solve for x	-2*8^(4-x)=-50	$- 2 \cdot 8^{4 - x} = - 50$
46759	Solve the System of Equations	y=-x^2-3x-10 10=x-y	$y = - x^{2} - 3 x - 10$ $10 = x - y$
46760	Solve the Inequality for x	3x(x+1)<=x(x+5)	$3 x (x + 1) \leq x (x + 5)$
46761	Graph Using a Table of Values	f(x)=-1/2x^2	$f (x) = - \frac{1}{2} x^{2}$
46762	Evaluate	-(49)1/2	$- (49) \frac{1}{2}$
46763	Simplify	(32x^35y^15)/(8x^2y^5)*(4xy)^2	$\frac{32 x^{35} y^{15}}{8 x^{2} y^{5}} \cdot {(4 x y)}^{2}$
46764	Graph	g(x)<=- square root of x-3-2	$g (x) \leq - \sqrt{x - 3} - 2$
46765	Find the Derivative - d/dy	x^4-5x^3y^2+2y^4	$x^{4} - 5 x^{3} y^{2} + 2 y^{4}$
46766	Solve for x	7/8x-1/2=3/16x+5	$\frac{7}{8} x - \frac{1}{2} = \frac{3}{16} x + 5$
46767	Find the Derivative - d/dx	( square root of 2x^2)/(cos(x))	$\frac{\sqrt{2 x^{2}}}{\cos (x)}$
46768	Simplify the Matrix	fourth root of 32 , fourth root of 162	$\sqrt[4]{32}$ , $\sqrt[4]{162}$
46769	Find the Derivative - d/dx	(e^(-x))/(-3x)	$\frac{e^{- x}}{- 3 x}$
46770	Evaluate the Limit	limit as x approaches pi from the right of (2 square root of x)/(csc(x))	$lim_{x \to π^{+}} \frac{2 \sqrt{x}}{\csc (x)}$
46771	Evaluate	2pi*2/pi	$2 π \cdot \frac{2}{π}$
46772	Factor	x^2+(1/x)^2+2-3x-3/x	$x^{2} + {(\frac{1}{x})}^{2} + 2 - 3 x - \frac{3}{x}$
46773	Find the Domain	(x^2-25)/(x^2-5x)	$\frac{(x^{2} - 25)}{x^{2} - 5 x}$
46774	Find the Holes in the Graph	(x+7)/(x^2+x-42)	$\frac{x + 7}{x^{2} + x - 42}$
46775	Find the Roots (Zeros)	4x^2-12x+11=2	$4 x^{2} - 12 x + 11 = 2$
46776	Find the Domain and Range	x^3-10x^2+27x-18	$x^{3} - 10 x^{2} + 27 x - 18$
46777	Solve the Function Operation	If P(x)=x^2+x+4 ; find P(6)	If $P (x) = x^{2} + x + 4$ ; find $P (6)$
46778	Evaluate the Integral	integral of (7 square root of x^3+2 cube root of x^2) with respect to x	$\int (7 \sqrt{x^{3}} + 2 \sqrt[3]{x^{2}}) d x$
46779	Simplify	(3pi)/4-2pi	$\frac{3 π}{4} - 2 π$
46780	Graph	f(x)=-3*sin(4/3x)	$f (x) = - 3 \cdot \sin (\frac{4}{3} x)$
46781	Reduce	square root of 72	$\sqrt{72}$
46782	Evaluate	9/5c+32=f	$\frac{9}{5} c + 32 = f$
46783	Describe the Transformation	f(x)=-2 cube root of x	$f (x) = - 2 \sqrt[3]{x}$
46784	Multiply	(5x-20)/(4x^2-25)*(2x-5)/(5x+3)	$\frac{5 x - 20}{4 x^{2} - 25} \cdot \frac{2 x - 5}{5 x + 3}$
46785	Plot	y<x-3	$y < x - 3$
46786	Factor	x^3+x^2-20x=0	$x^{3} + x^{2} - 20 x = 0$
46787	Simplify	10/( square root of 3)*2	$\frac{10}{\sqrt{3}} \cdot 2$
46788	Find the Derivative - d/dx	natural log of 2/(x^2)	$\ln (\frac{2}{x^{2}})$
46789	Simplify	(2 square root of 9-x^2)^2	${(2 \sqrt{9 - x^{2}})}^{2}$
46790	Convert to Radical Form	(64/125)^(-2/3)	${(\frac{64}{125})}^{- \frac{2}{3}}$
46791	Evaluate	(tan(pi/4))/2+1/(csc(pi/6))	$\frac{\tan (\frac{π}{4})}{2} + \frac{1}{\csc (\frac{π}{6})}$
46792	Simplify	square root of 50x^2y+x square root of 8y+3x square root of 2y	$\sqrt{50 x^{2} y} + x \sqrt{8 y} + 3 x \sqrt{2 y}$
46793	Find the x and y Intercepts	f(x)=1/2x^2-5x+21/2	$f (x) = \frac{1}{2} x^{2} - 5 x + \frac{21}{2}$
46794	Simplify	(4 square root of 3)/(2 square root of 3)	$\frac{4 \sqrt{3}}{2 \sqrt{3}}$
46795	Find the GCF	x^3y^2+x^2y+x	$x^{3} y^{2} + x^{2} y + x$
46796	Evaluate	144/360(2pi*13)	$\frac{144}{360} (2 π \cdot 13)$
46797	Find the Antiderivative	(cos(x))/(sin(x)^5)	$\frac{\cos (x)}{\sin^{5} (x)}$
46798	Solve for x	x+4(x-5)=4(x-2)	$x + 4 (x - 5) = 4 (x - 2)$
46799	Find the Inverse	d=0.2t^(3/2)	$d = 0.2 t^{\frac{3}{2}}$
46800	Find the Domain	8-(8-x^3)^3	$8 - {(8 - x^{3})}^{3}$