Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230601	Solve for x	((3/4)(x^(-1/2)))/(y^(-2/3))=a/b	$\frac{(\frac{3}{4}) (x^{- \frac{1}{2}})}{y^{- \frac{2}{3}}} = \frac{a}{b}$
230602	Convert to Radical Form	(5x)-5/4	$(5 x) \frac{- 5}{4}$
230603	Graph	f(x)=x^2+2x-1,x<0; x^2-4x+3,x>=0	$f (x) = {\begin{cases} x^{2} + 2 x - 1, x < 0 \\ x^{2} - 4 x + 3, x \geq 0 \end{cases}$
230604	Graph	y<=5 2x+y<8	$y \leq 5$ $2 x + y < 8$
230605	Simplify	limit as x approaches 1 of x^2-2x+4	$lim_{x \to 1} x^{2} - 2 x + 4$
230606	Find the Parabola Through (4,8) with Vertex (2,4)	(2,4) and (4,8)	$(2, 4)$ and $(4, 8)$
230607	Find the Roots (Zeros)	c(x)=x^4-5x^3-12x^2-22x-40	$c (x) = x^{4} - 5 x^{3} - 12 x^{2} - 22 x - 40$
230608	Solve for x	24.7-2^x=7.8-3.4x	$24.7 - 2^{x} = 7.8 - 3.4 x$
230609	Simplify	- cube root of 216-2 square root of -4+ cube root of 1	$- \sqrt[3]{216} - 2 \sqrt{- 4} + \sqrt[3]{1}$
230610	Simplify the Radical Expression	3 cube root of 81-2 cube root of 54	$3 \sqrt[3]{81} - 2 \sqrt[3]{54}$
230611	Solve by Substitution	y-5=(x-2)^2 x+2y=6	$y - 5 = {(x - 2)}^{2}$ $x + 2 y = 6$
230612	Simplify	3^2(3^3)^23^-8	$3^{2} \cdot {(3^{3})}^{2} \cdot 3^{- 8}$
230613	Simplify	10m^2 fourth root of 162m^7	$10 m^{2} \sqrt[4]{162 m^{7}}$
230614	Simplify the Radical Expression	(4/(64^(5/6)))^(1/2)	${(\frac{4}{64^{\frac{5}{6}}})}^{\frac{1}{2}}$
230615	Solve the System of Inequalities	y<-2x-8 y>=x-5	$y < - 2 x - 8$ $y \geq x - 5$
230616	Simplify	5x square root of 12-6x square root of 75+7x square root of 3	$5 x \sqrt{12} - 6 x \sqrt{75} + 7 x \sqrt{3}$
230617	Simplify	( square root of 5+7)( square root of 6+2)	$(\sqrt{5} + 7) (\sqrt{6} + 2)$
230618	Simplify	(3y+2)/(y^2+5y-24)+7/(y^2+4y-32)	$\frac{3 y + 2}{y^{2} + 5 y - 24} + \frac{7}{y^{2} + 4 y - 32}$
230619	Simplify	((a-b)/(7a+7b))÷((a^2-b^2)/(a^2+8a+16))	$\frac{a - b}{7 a + 7 b} \div \frac{a^{2} - b^{2}}{a^{2} + 8 a + 16}$
230620	Solve for x	2x+8i=6-(2y)i	$2 x + 8 i = 6 - (2 y) i$
230621	Solve the System of Equations	x^2+4y^2=4 x^2+y^2=4	$x^{2} + 4 y^{2} = 4$ $x^{2} + y^{2} = 4$
230622	Simplify	( square root of 3xy)^3	${(\sqrt{3 x y})}^{3}$
230623	Simplify	((x-3)(2x+1))/((2x+1)(2x+5))*((2x+5)(3x-2))/((x-3)(3x-2))	$\frac{(x - 3) (2 x + 1)}{(2 x + 1) (2 x + 5)} \cdot \frac{(2 x + 5) (3 x - 2)}{(x - 3) (3 x - 2)}$
230624	Graph	3cot(pix)	$3 \cot (π x)$
230625	Solve for x	(2x-3)^2-14=2x(x-7)	${(2 x - 3)}^{2} - 14 = 2 x (x - 7)$
230626	Simplify	(4v^2)/( square root of 8v^6)	$\frac{4 v^{2}}{\sqrt{8 v^{6}}}$
230627	Write the Fraction in Simplest Form	(tan(pi)-tan(x))/(1+tan(pi)tan(x))	$\frac{\tan (π) - \tan (x)}{1 + \tan (π) \tan (x)}$
230628	Simplify	4x^0*2x	$4 x^{0} \cdot 2 x$
230629	Evaluate	(-4)^3+(-4)^2-3*-4+9	${(- 4)}^{3} + {(- 4)}^{2} - 3 \cdot - 4 + 9$
230630	Solve for x	1/5(10x-20)=x-3	$\frac{1}{5} (10 x - 20) = x - 3$
230631	Graph	D={x\|x<=1}	$D = {x \| x \leq 1}$
230632	Evaluate	sin(2*pi/4)	$\sin (2 \cdot \frac{π}{4})$
230633	Simplify	( square root of 9x^2y)/(2x^-4y^2)	$\frac{\sqrt{9 x^{2} y}}{2 x^{- 4} y^{2}}$
230634	Evaluate	6v(2v+3)	$6 v (2 v + 3)$
230635	Evaluate	((2^-1)/(2^0))^3	${(\frac{2^{- 1}}{2^{0}})}^{3}$
230636	Find the Exact Value	2(4i^2)+22	$2 (4 i^{2}) + 22$
230637	Simplify	10/7*9/(2x-7)	$\frac{10}{7} \cdot \frac{9}{2 x - 7}$
230638	Simplify	-3v(-8u^2-8uv-7v^2)	$- 3 v (- 8 u^{2} - 8 u v - 7 v^{2})$
230639	Solve the System of Equations	2x+7y=-5 and -x-6y=10	$2 x + 7 y = - 5$ and $- x - 6 y = 10$
230640	Find the End Behavior	f(x)=x(x-2)(x+2)	$f (x) = x (x - 2) (x + 2)$
230641	Simplify	3x^32x^2y4x^2y	$3 x^{3} \cdot 2 x^{2} y \cdot 4 x^{2} y$
230642	Simplify	(tan((5pi)/8)-tan((3pi)/8))/(1+tan((5pi)/8)tan((3pi)/8))	$\frac{\tan (\frac{5 π}{8}) - \tan (\frac{3 π}{8})}{1 + \tan (\frac{5 π}{8}) \tan (\frac{3 π}{8})}$
230643	Solve for x	(5x-2)^2+35x-14=-12	${(5 x - 2)}^{2} + 35 x - 14 = - 12$
230644	Factor	3/2x^(1/2)+5/2x^(3/2)	$\frac{3}{2} x^{\frac{1}{2}} + \frac{5}{2} x^{\frac{3}{2}}$
230645	Evaluate	square root of cos(x)cos(300x)+ square root of \|x\|-9.3*(-4x^2)^0.01	$\sqrt{\cos (x)} \cdot \cos (300 \cdot x) + \sqrt{\| x \|} - 9.3 \cdot {(- 4 x^{2})}^{0.01}$
230646	Divide Using Long Polynomial Division	Use the long division method to find the result when 16x^3+16x^2+11x+20 is divided by 4x+5	Use the long division method to find the result when $16 x^{3} + 16 x^{2} + 11 x + 20$ is divided by $4 x + 5$
230647	Solve for n	15 is 30% of what number	$15$ is $30 %$ of what number
230648	Simplify	2(a+b)-3(2a+1)-2(b-3)	$2 (a + b) - 3 (2 a + 1) - 2 (b - 3)$
230649	Solve for p	p^3-64=0	$p^{3} - 64 = 0$
230650	Simplify	f/(f-g)-g/(g-f)	$\frac{f}{f - g} - \frac{g}{g - f}$
230651	Solve the Inequality for x	7 square root of 3x+9-12<=30	$7 \sqrt{3 x + 9} - 12 \leq 30$
230652	Solve for x	x+a=b/3x	$x + a = \frac{b}{3} x$
230653	Simplify	( fourth root of 32)÷( fourth root of 2)	$\sqrt[4]{32} \div \sqrt[4]{2}$
230654	Evaluate	(x^-4y^-5y^2)/x	$\frac{x^{- 4} y^{- 5} y^{2}}{x}$
230655	Simplify	(21x+12)/(7x+4)*1/(x-2)	$\frac{21 x + 12}{7 x + 4} \cdot \frac{1}{x - 2}$
230656	Evaluate	3 square root of 4a=42	$3 \sqrt{4 a} = 42$
230657	Simplify the Radical Expression	fourth root of 36x^6	$\sqrt[4]{36 x^{6}}$
230658	Solve the Inequality for x	2x^2-3x+4>0	$2 x^{2} - 3 x + 4 > 0$
230659	Solve for k	1+ square root of k+1=9	$1 + \sqrt{k + 1} = 9$
230660	Graph	f(x)=x^2+1 if x<1; (x-2)^2 if x>=1	$f (x) = {\begin{cases} x^{2} + 1 & x < 1 \\ {(x - 2)}^{2} & x \geq 1 \end{cases}$
230661	Simplify	(4y^2(x^2)^5)/(x^2x^5)	$\frac{4 y^{2} \cdot {(x^{2})}^{5}}{x^{2} \cdot x^{5}}$
230662	Find the x and y Intercepts	f(x)=-4(2x+1)^2(x+2)^2(x^2+9)(x^2-5)	$f (x) = - 4 {(2 x + 1)}^{2} {(x + 2)}^{2} (x^{2} + 9) (x^{2} - 5)$
230663	Solve the System of Equations	y=x^2+4x-1 and y+3=x	$y = x^{2} + 4 x - 1$ and $y + 3 = x$
230664	Solve for x	2-3/4x=1/2x-1/2	$2 - \frac{3}{4} x = \frac{1}{2} x - \frac{1}{2}$
230665	Evaluate	7^(3y-8)=7^13	$7^{3 y - 8} = 7^{13}$
230666	Simplify	4yi^2+8yi^4	$4 y i^{2} + 8 y i^{4}$
230667	Divide	((x^3)/(x^2-4))÷((2x)/(x^2-7x+10))	$\frac{x^{3}}{x^{2} - 4} \div \frac{2 x}{x^{2} - 7 x + 10}$
230668	Evaluate	( square root of 3)(2 square root of 5)-4 square root of 15	$(\sqrt{3}) (2 \sqrt{5}) - 4 \sqrt{15}$
230669	Simplify	(5xy+3x^2y^2)/(xy^3)	$\frac{5 x y + 3 x^{2} y^{2}}{x y^{3}}$
230670	Evaluate	20% of 200	$20 %$ of $200$
230671	Determine if True	sec(theta)+tan(theta)=1/(sec(theta)-tan(theta))	$\sec (θ) + \tan (θ) = \frac{1}{\sec (θ) - \tan (θ)}$
230672	Solve the Inequality for x	2x+5y<10	$2 x + 5 y < 10$
230673	Divide	(mn^3)/(n^2)	$\frac{m n^{3}}{n^{2}}$
230674	Write in Standard Form	2(4k^2-2k)-3(-6k^2+4)+2k(k-1)	$2 (4 k^{2} - 2 k) - 3 (- 6 k^{2} + 4) + 2 k (k - 1)$
230675	Solve by Graphing	x-3y=3 y=x+3	$x - 3 y = 3$ $y = x + 3$
230676	Identify the Sequence	12 , 36 , 108 , 324 ; dotsdots	$12$ , $36$ , $108$ , $324$ ; dotsdots
230677	Graph	x^3+1=4x^2	$x^{3} + 1 = 4 x^{2}$
230678	Simplify	(6- square root of 14)/(2+ square root of 14)	$\frac{6 - \sqrt{14}}{2 + \sqrt{14}}$
230679	Simplify	(7x^3+x^2+x)/(x^2+1)	$\frac{7 x^{3} + x^{2} + x}{x^{2} + 1}$
230680	Expand the Logarithmic Expression	log of (2xy)/(3z^3)	$\log (\frac{2 x y}{3 z^{3}})$
230681	Factor by Grouping	2x^3-200x	$2 x^{3} - 200 x$
230682	Simplify	2/4+2	$\frac{2}{4} + 2$
230683	Evaluate	2(5+3x)=4(x+4)	$2 (5 + 3 x) = 4 (x + 4)$
230684	Simplify	7x-3y+4z-12x+5y+2z-8y-3z	$7 x - 3 y + 4 z - 12 x + 5 y + 2 z - 8 y - 3 z$
230685	Simplify	square root of 8( square root of 6- square root of 12)	$\sqrt{8} (\sqrt{6} - \sqrt{12})$
230686	Solve the Inequality for x	2x+3<x+x-1	$2 x + 3 < x + x - 1$
230687	Solve the Absolute Value Inequality for z	3\|z+7\|=12	$3 \| z + 7 \| = 12$
230688	Solve for x	27/24=(3x-21)/(x+13)	$\frac{27}{24} = \frac{3 x - 21}{x + 13}$
230689	Solve for x	3/2 cube root of 5x+9=6	$\frac{3}{2} \sqrt[3]{5 x + 9} = 6$
230690	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+6x^3-21x^2-15x-9 is divided by x-3	Use synthetic division to find the result when $x^{4} + 6 x^{3} - 21 x^{2} - 15 x - 9$ is divided by $x - 3$
230691	Evaluate	tan(x)^2-sin(x)^2	$\tan^{2} (x) - \sin^{2} (x)$
230692	Divide Using Long Polynomial Division	(18a^3+30a^2)/(3a)	$\frac{18 a^{3} + 30 a^{2}}{3 a}$
230693	Find the Inverse	f(x)=((x^5-8)^(1/7))/7	$f (x) = \frac{{(x^{5} - 8)}^{\frac{1}{7}}}{7}$
230694	Solve for a	a^(-1/2)=3	$a^{- \frac{1}{2}} = 3$
230695	Evaluate	15*18+12÷3+9	$15 \cdot 18 + 12 \div 3 + 9$
230696	Simplify	(2x square root of x^2+1)^2	${(2 x \sqrt{x^{2} + 1})}^{2}$
230697	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+13x^2+20x+9 is divided by 2x+9	Use the long division method to find the result when $2 x^{3} + 13 x^{2} + 20 x + 9$ is divided by $2 x + 9$
230698	Graph	2x+y>=8 y-5<3x	$2 x + y \geq 8$ $y - 5 < 3 x$
230699	Solve the Inequality for x	\|x\|>=0	$\| x \| \geq 0$
230700	Solve for x	-x/5-2/5x=2	$- \frac{x}{5} - \frac{2}{5} x = 2$