Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
213601	Simplify	(4x^2+2x-4)-(-5-4x+4x^2+x^3)	$(4 x^{2} + 2 x - 4) - (- 5 - 4 x + 4 x^{2} + x^{3})$
213602	Simplify	2^3+(6^2)÷9	$2^{3} + 6^{2} \div 9$
213603	Simplify	3^(-1/2)*3x^(9/2)(3x)^(-7/2)	$3^{- \frac{1}{2}} \cdot 3 x^{\frac{9}{2}} {(3 x)}^{- \frac{7}{2}}$
213604	Solve for c	x^2+18x+c=25+c	$x^{2} + 18 x + c = 25 + c$
213605	Simplify	(x+1)/(3x+6)*(6x+12)/(x^2-1)	$\frac{x + 1}{3 x + 6} \cdot \frac{6 x + 12}{x^{2} - 1}$
213606	Simplify	cube root of 10yz^5* cube root of 4y^3	$\sqrt[3]{10 y z^{5}} \cdot \sqrt[3]{4 y^{3}}$
213607	Write in Slope-Intercept Form	y-5=2x	$y - 5 = 2 x$
213608	Find the Exact Value	3^-6*((3^4)÷(3^0))^2	$3^{- 6} \cdot {(3^{4} \div 3^{0})}^{2}$
213609	Divide	( square root of 27)/( square root of 48)	$\frac{\sqrt{27}}{\sqrt{48}}$
213610	Solve by Addition/Elimination	-4x-2y=-12 and 4x+8y=-24	$- 4 x - 2 y = - 12$ and $4 x + 8 y = - 24$
213611	Solve for x	(3x)/(x+1)+6/(2x)=7/x	$\frac{3 x}{x + 1} + \frac{6}{2 x} = \frac{7}{x}$
213612	Simplify	(2/(8m^3-64m^2))÷(1/(8m^2))	$\frac{2}{8 m^{3} - 64 m^{2}} \div \frac{1}{8 m^{2}}$
213613	Solve for m	-5/9m=1 11/12	$- \frac{5}{9} m = 1 \frac{11}{12}$
213614	Simplify	8/(-3- square root of 14)	$\frac{8}{- 3 - \sqrt{14}}$
213615	Write the Fraction in Simplest Form	(2(j^2)^4)/(-2j^5)	$\frac{2 {(j^{2})}^{4}}{- 2 j^{5}}$
213616	Evaluate	(2(7-3)^2)/(-4^2)	$\frac{2 {(7 - 3)}^{2}}{- 4^{2}}$
213617	Multiply	pi/4*2	$\frac{π}{4} \cdot 2$
213618	Write the Fraction in Simplest Form	fourth root of (405x^3y^3)/(5x^-1y)	$\sqrt[4]{\frac{405 x^{3} y^{3}}{5 x^{- 1} y}}$
213619	Subtract	(-9x^2y^2+5x^2y-11xy+1)-(4xy-13x^2y+7)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) - (4 x y - 13 x^{2} y + 7)$
213620	Write in Standard Form	9-x^2+2x^5-7x	$9 - x^{2} + 2 x^{5} - 7 x$
213621	Simplify	(x^(7/4)y^(-1/4))/(x^(3/4)y^(3/4))	$\frac{x^{\frac{7}{4}} y^{- \frac{1}{4}}}{x^{\frac{3}{4}} y^{\frac{3}{4}}}$
213622	Write the Fraction in Simplest Form	((b^7)/(4^5))^-3	${(\frac{b^{7}}{4^{5}})}^{- 3}$
213623	Rationalize the Denominator	fifth root of (( square root of 4x)^2( cube root of 3x)^3)/(( square root of 5)^2)	$\sqrt[5]{\frac{{(\sqrt{4 x})}^{2} {(\sqrt[3]{3 x})}^{3}}{{(\sqrt{5})}^{2}}}$
213624	Divide Using Synthetic Division	(3m^5+m-1)÷(m+1)	$(3 m^{5} + m - 1) \div (m + 1)$
213625	Write in Standard Form	y=(3x+4)^2+5	$y = {(3 x + 4)}^{2} + 5$
213626	Simplify	((x+2)/(x^2-3x))/((x^2-4)/x)	$\frac{\frac{x + 2}{x^{2} - 3 x}}{\frac{x^{2} - 4}{x}}$
213627	Solve for x	(2x(x^2-3))/((x^2+1)^3)=0	$\frac{2 x (x^{2} - 3)}{{(x^{2} + 1)}^{3}} = 0$
213628	Solve for x	8+x/5>18	$8 + \frac{x}{5} > 18$
213629	Solve for x	5-(-x)=20	$5 - (- x) = 20$
213630	Graph	f(x)=2,x<-3; x(x+4)+4,-3<=x<0; 2x,x>=0	$f (x) = {\begin{cases} 2, x < - 3 \\ x (x + 4) + 4, - 3 \leq x < 0 \\ 2 x, x \geq 0 \end{cases}$
213631	Find the Perfect Square Trinomial	(x-4)(2x-5)	$(x - 4) (2 x - 5)$
213632	Simplify	( cube root of 3)÷( cube root of 5)	$\sqrt[3]{3} \div \sqrt[3]{5}$
213633	Find the Exact Value	sec(60 degrees )tan(45 degrees )	$\sec (60 °) \tan (45 °)$
213634	Divide	(3x^3y+5x^2y^2-2xy)/(xy)	$\frac{3 x^{3} y + 5 x^{2} y^{2} - 2 x y}{x y}$
213635	Simplify	((8x^9y^-7)^0)/(24x^-3y^5)	$\frac{{(8 x^{9} y^{- 7})}^{0}}{24 x^{- 3} y^{5}}$
213636	Solve for x	2x+4(3-2x)=3(2x+2)/6+4	$2 x + 4 (3 - 2 x) = 3 \frac{2 x + 2}{6} + 4$
213637	Solve for x	3^x=4^y	$3^{x} = 4^{y}$
213638	Write the Fraction in Simplest Form	((4s^5t^-7)/(-2s^-2t^4))^3	${(\frac{4 s^{5} t^{- 7}}{- 2 s^{- 2} t^{4}})}^{3}$
213639	Simplify	i^7*i^5	$i^{7} \cdot i^{5}$
213640	Factor	y=x^3+3x^2-4x-12	$y = x^{3} + 3 x^{2} - 4 x - 12$
213641	Graph	y>=3x-4 and y<=-5x+2	$y \geq 3 x - 4$ and $y \leq - 5 x + 2$
213642	Determine if a Polynomial	(p^5q^4)/9+q	$\frac{p^{5} q^{4}}{9} + q$
213643	Describe the Transformation	f(x)=-1/x+2	$f (x) = \frac{- 1}{x} + 2$
213644	Graph	f(x)=2 if x<=-3; -1 if -3=3	$f (x) = {\begin{cases} 2 & x \leq - 3 \\ - 1 & - 3 = 3 \end{cases}$
213645	Simplify	2x^4(-3xy)^3	$2 x^{4} {(- 3 x y)}^{3}$
213646	Convert to Radical Form	(4r^2s^3t^4)2/5	$(4 r^{2} s^{3} t^{4}) \frac{2}{5}$
213647	Evaluate	cos(theta)-cos(theta)sin(theta)^2	$\cos (θ) - \cos (θ) \sin^{2} (θ)$
213648	Simplify	3/(y-5)-(5y-16)/(y^2-7y+10)	$\frac{3}{y - 5} - \frac{5 y - 16}{y^{2} - 7 y + 10}$
213649	Simplify the Radical Expression	cube root of 16/27	$\sqrt[3]{\frac{16}{27}}$
213650	Solve the Inequality for x	-x^2+12x-10<7x-6	$- x^{2} + 12 x - 10 < 7 x - 6$
213651	Simplify	- square root of 5^4	$- \sqrt{5^{4}}$
213652	Simplify	(-2/(x^2-x-2)*(x-2)/4)÷((6-x)/(x^2-5x-6))	$\frac{- 2}{x^{2} - x - 2} \cdot \frac{x - 2}{4} \div \frac{6 - x}{x^{2} - 5 x - 6}$
213653	Simplify the Radical Expression	4 square root of 310 square root of 12 square root of 6* square root of 2	$4 \sqrt{3} \cdot 10 \sqrt{12} \cdot \sqrt{6} \cdot \sqrt{2}$
213654	Simplify the Radical Expression	5 cube root of 3a+5 cube root of 3a-9 cube root of 3a	$5 \sqrt[3]{3 a} + 5 \sqrt[3]{3 a} - 9 \sqrt[3]{3 a}$
213655	Write the Fraction in Simplest Form	(6h^10u^4)/((-2h^-4u^3)^3)	$\frac{6 h^{10} u^{4}}{{(- 2 h^{- 4} u^{3})}^{3}}$
213656	Factor	x^4-9x^2-4x+12	$x^{4} - 9 x^{2} - 4 x + 12$
213657	Simplify	(x(x+2))/(x^4(x+2))	$\frac{x (x + 2)}{x^{4} (x + 2)}$
213658	Evaluate	78-(2^4)÷(14-6)*2	$78 - 2^{4} \div (14 - 6) \times 2$
213659	Solve for c	(c+4)(c+5)=0	$(c + 4) (c + 5) = 0$
213660	Simplify	(5v^3+3v^2)+(v^3+5v^2)	$(5 v^{3} + 3 v^{2}) + (v^{3} + 5 v^{2})$
213661	Solve for k	natural log of -2x+5+ natural log of x+4=k	$\ln (- 2 x + 5) + \ln (x + 4) = k$
213662	Solve for k	8^k=78	$8^{k} = 78$
213663	Simplify	(4uv)(-u)(2u^4v)	$(4 u v) (- u) (2 u^{4} v)$
213664	Simplify	square root of 12* square root of 6* square root of x^3* square root of x^7	$\sqrt{12} \cdot \sqrt{6} \cdot \sqrt{x^{3}} \cdot \sqrt{x^{7}}$
213665	Simplify the Radical Expression	( square root of 7)/( square root of 10- square root of 2)	$\frac{\sqrt{7}}{\sqrt{10} - \sqrt{2}}$
213666	Solve the Inequality for X	-6<=X<=-3	$- 6 \leq X \leq - 3$
213667	Find the Holes in the Graph	(x^2-9x+20)/(4x^2-12x-40)	$\frac{x^{2} - 9 x + 20}{4 x^{2} - 12 x - 40}$
213668	Solve the Inequality for x	2-(4x-5)>3(x+4)-5	$2 - (4 x - 5) > 3 (x + 4) - 5$
213669	Simplify	(3a^-2)^3*3a^5	${(3 a^{- 2})}^{3} \cdot 3 a^{5}$
213670	Solve for x	3 = cube root of 2x+16-12	$3 = \sqrt[3]{2 x + 16} - 12$
213671	Simplify	9/(4x)*(x^2)/2	$\frac{9}{4 x} \cdot \frac{x^{2}}{2}$
213672	Solve for p	fourth root of 2p+2=3	$\sqrt[4]{2 p + 2} = 3$
213673	Convert to Radical Form	3^(1/3)*9^(1/3)	$3^{\frac{1}{3}} \cdot 9^{\frac{1}{3}}$
213674	Find the x and y Intercepts	f(x)=(2-x)(x+2)(x+4)	$f (x) = (2 - x) (x + 2) (x + 4)$
213675	Solve for x	15-5(365x)=1840	$15 - 5 (365 x) = 1840$
213676	Divide	((25x^2-4)/(x^2-9))÷((5x-2)/(x+3))	$\frac{25 x^{2} - 4}{x^{2} - 9} \div \frac{5 x - 2}{x + 3}$
213677	Simplify	2 fourth root of 16* fourth root of 4	$2 \sqrt[4]{16} \cdot \sqrt[4]{4}$
213678	Find All Complex Solutions	x-2 = square root of x-2	$x - 2 = \sqrt{x - 2}$
213679	Simplify the Radical Expression	( fourth root of 32)/( fourth root of 2)	$\frac{\sqrt[4]{32}}{\sqrt[4]{2}}$
213680	Graph	y<=3 x+y>=1	$y \leq 3$ $x + y \geq 1$
213681	Subtract	(3u+3)-(3u+3)	$(3 u + 3) - (3 u + 3)$
213682	Evaluate	9^x>54	$9^{x} > 54$
213683	Solve for Vₒ	a=(V_f-V_o)/t	$a = \frac{V_{f} - V_{o}}{t}$
213684	Rationalize the Denominator	-1/(-2- square root of 7)	$\frac{- 1}{- 2 - \sqrt{7}}$
213685	Convert to Interval Notation	4v>=9v-40	$4 v \geq 9 v - 40$
213686	Solve the Rational Equation for x	square root of x-3+ square root of x=3	$\sqrt{x - 3} + \sqrt{x} = 3$
213687	Simplify	((4x)/(x+6))/((x^2-3x)/(x^2+3x-18))	$\frac{\frac{4 x}{x + 6}}{\frac{x^{2} - 3 x}{x^{2} + 3 x - 18}}$
213688	Graph	x<=-3 or x>4	$x \leq - 3$ or $x > 4$
213689	Simplify	(-1/3)^5*(-1/3)^7	${(- \frac{1}{3})}^{5} \cdot {(- \frac{1}{3})}^{7}$
213690	Graph	x^2+(y-3 square root of 2*x)^2=1	$x^{2} + {(y - 3 \sqrt{2} \cdot x)}^{2} = 1$
213691	Simplify	-7x^5+8x-4x^3+2x^4	$- 7 x^{5} + 8 x - 4 x^{3} + 2 x^{4}$
213692	Simplify	(-7^4)^-3	${(- 7^{4})}^{- 3}$
213693	Simplify	(8x^2)-(-x^2+2x-3)	$(8 x^{2}) - (- x^{2} + 2 x - 3)$
213694	Solve Using the Quadratic Formula	4(x^2-x)=x^2-3	$4 (x^{2} - x) = x^{2} - 3$
213695	Simplify	1/(x^2-xy)-(y^2)/(x^2-y^2)*(x+y)/(y^3)	$\frac{1}{x^{2} - x y} - \frac{y^{2}}{x^{2} - y^{2}} \cdot \frac{(x + y)}{y^{3}}$
213696	Evaluate	((-1/2)^3)÷((1/4)^2)	${(- \frac{1}{2})}^{3} \div {(\frac{1}{4})}^{2}$
213697	Solve for x	4x = square root of 6-4x	$4 x = \sqrt{6 - 4 x}$
213698	Simplify the Radical Expression	fourth root of 2/(5x)	$\sqrt[4]{\frac{2}{5 x}}$
213699	Divide Using Synthetic Division	(6x^5-2x^3+4x^2-3x+1)/(x-2)	$\frac{6 x^{5} - 2 x^{3} + 4 x^{2} - 3 x + 1}{x - 2}$
213700	Divide	(6^-6)/(6^-5)	$\frac{6^{- 6}}{6^{- 5}}$