Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236601	Simplify	Simplify the expression (2x^3-32x)/(2(x^2-4x))	Simplify the expression $\frac{2 x^{3} - 32 x}{2 (x^{2} - 4 x)}$
236602	Solve for x	3*x=2	$3 \cdot x = 2$
236603	Evaluate	x^7y^-2	$x^{7} y^{- 2}$
236604	Solve the System of Equations	y=x+5 3x+y=25	$y = x + 5$ $3 x + y = 25$
236605	Evaluate	-pi/3+pi/2	$- \frac{π}{3} + \frac{π}{2}$
236606	Graph Using a Table of Values	y=x^2+x	$y = x^{2} + x$
236607	Simplify	(2-3x)/(6x^2y)+(2x+1)/(6x^2y)+(2x-3)/(6x^2y)	$\frac{2 - 3 x}{6 x^{2} y} + \frac{2 x + 1}{6 x^{2} y} + \frac{2 x - 3}{6 x^{2} y}$
236608	Find the Vertices	9y^2-25x^2-100x-108y-1=0	$9 y^{2} - 25 x^{2} - 100 x - 108 y - 1 = 0$
236609	Find the LCD	3/(4x)7/(2x)11/(12x)	$\frac{3}{4 x} \cdot \frac{7}{2 x} \frac{11}{12 x}$
236610	Solve for θ	0 degrees <theta<90 degrees	$0 ° < θ < 90 °$
236611	Find the Inverse	f(x)=(7x+2)/3+5	$f (x) = \frac{7 x + 2}{3} + 5$
236612	Evaluate	square root of x-1 = square root of 2x-11	$\sqrt{x - 1} = \sqrt{2 x - 11}$
236613	Evaluate	4(2/3)^-1	$4 {(\frac{2}{3})}^{- 1}$
236614	Simplify	5x(2-3x)+4(2-3x)+2-3x	$5 x (2 - 3 x) + 4 (2 - 3 x) + 2 - 3 x$
236615	Solve for x	-3(x+2)-1=1+2(1-2x)	$- 3 (x + 2) - 1 = 1 + 2 (1 - 2 x)$
236616	Simplify	5(2y-3x+6)+14-2y	$5 (2 y - 3 x + 6) + 14 - 2 y$
236617	Find the Equation Using Point-Slope Formula	(-5,7) and (-4,0)	$(- 5, 7)$ and $(- 4, 0)$
236618	Solve for x	x/(x-3)-3/2=3/(x-3)	$\frac{x}{x - 3} - \frac{3}{2} = \frac{3}{x - 3}$
236619	Simplify	(2(m-4n))^2	${(2 (m - 4 n))}^{2}$
236620	Solve the Inequality for x	square root of 6x-2+1=-3	$\sqrt{6 x - 2} + 1 = - 3$
236621	Write in Standard Form	(3x^3)^2	${(3 x^{3})}^{2}$
236622	Simplify	((b^(4/5))/(b^7))^-5	${(\frac{b^{\frac{4}{5}}}{b^{7}})}^{- 5}$
236623	Evaluate	(3x^-6y^2)^3*2x^10y^-7	${(3 x^{- 6} y^{2})}^{3} \cdot 2 x^{10} y^{- 7}$
236624	Simplify	(-4x)/(-5/y+7/x)	$\frac{- 4 x}{- \frac{5}{y} + \frac{7}{x}}$
236625	Find the Excluded Values	(4x^2+23x+15)/(16x^2-9)*(4x^2+9x-9)/(x^2+2x-15)	$\frac{4 x^{2} + 23 x + 15}{16 x^{2} - 9} \cdot \frac{4 x^{2} + 9 x - 9}{x^{2} + 2 x - 15}$
236626	Simplify the Radical Expression	( cube root of 15x^2)/( cube root of 5x)	$\frac{\sqrt[3]{15 x^{2}}}{\sqrt[3]{5 x}}$
236627	Simplify	6x^-1y^(-1/2) fourth root of x^2y	$6 x^{- 1} y^{- \frac{1}{2}} \sqrt[4]{x^{2} y}$
236628	Convert to Interval Notation	-5<=(-3x+1)/4<=12	$- 5 \leq \frac{- 3 x + 1}{4} \leq 12$
236629	Simplify	(1/2 square root of 3)^2	${(\frac{1}{2} \sqrt{3})}^{2}$
236630	Solve for x	9(2x-3)=12x+4+6x	$9 (2 x - 3) = 12 x + 4 + 6 x$
236631	Simplify the Radical Expression	y square root of x^3y-7 square root of x^3y^3+2x square root of xy^3	$y \sqrt{x^{3} y} - 7 \sqrt{x^{3} y^{3}} + 2 x \sqrt{x y^{3}}$
236632	Simplify	3/((x+2)(x+3))+x/((x+2)(x+3))	$\frac{3}{(x + 2) (x + 3)} + \frac{x}{(x + 2) (x + 3)}$
236633	Simplify the Radical Expression	square root of 11* ninth root of 11	$\sqrt{11} \cdot \sqrt[9]{11}$
236634	Simplify	(120^(-2/5)*120^(2/5))/(7^(-3/4))	$\frac{120^{- \frac{2}{5}} \cdot 120^{\frac{2}{5}}}{7^{- \frac{3}{4}}}$
236635	Combine Like Terms	3a+4a+a-2a	$3 a + 4 a + a - 2 a$
236636	Evaluate	1/3x(9y-12)	$\frac{1}{3} x (9 y - 12)$
236637	Convert to Interval Notation	(2x)/3+1/2>x-5	$\frac{2 x}{3} + \frac{1}{2} > x - 5$
236638	Solve for x	cube root of 14x^2-49x=x	$\sqrt[3]{14 x^{2} - 49 x} = x$
236639	Solve the Inequality for x	3\|x+5\|+8>=23	$3 \| x + 5 \| + 8 \geq 23$
236640	Simplify	Simplify ( square root of 14-3)( square root of 14+5)	Simplify $(\sqrt{14} - 3) (\sqrt{14} + 5)$
236641	Find the Roots (Zeros)	y=-3cos(6x)	$y = - 3 \cos (6 x)$
236642	Evaluate	square root of 2x+7=5	$\sqrt{2 x + 7} = 5$
236643	Factor	y=2x^3-7x^2-7x+12	$y = 2 x^{3} - 7 x^{2} - 7 x + 12$
236644	Multiply	3*3 square root of 3	$3 \cdot 3 \sqrt{3}$
236645	Solve for r	7+5r+3+5=1+7r	$7 + 5 r + 3 + 5 = 1 + 7 r$
236646	Solve for x	4x-3x-1=7	$4 x - 3 x - 1 = 7$
236647	Solve for x	x+ square root of 3-2x=0	$x + \sqrt{3 - 2 x} = 0$
236648	Find the Roots (Zeros)	2+2i	$2 + 2 i$
236649	Simplify	square root of 36/4m^9n^3	$\sqrt{\frac{36}{4} m^{9} n^{3}}$
236650	Graph	y>x+2 y>=x-2	$y > x + 2$ $y \geq x - 2$
236651	Write in Standard Form	y=2(x-3/2)^2-5/2	$y = 2 {(x - \frac{3}{2})}^{2} - \frac{5}{2}$
236652	Evaluate	2-((2+1)-(3+2))	$2 - ((2 + 1) - (3 + 2))$
236653	Simplify	cube root of 5+3 square root of 5-8 cube root of 5+2 square root of 5	$\sqrt[3]{5} + 3 \sqrt{5} - 8 \sqrt[3]{5} + 2 \sqrt{5}$
236654	Simplify	(x-8)^2+(x-8)-15	${(x - 8)}^{2} + (x - 8) - 15$
236655	Combine Like Terms	2/5ab^2-16a+3/4ab^2-6/5a^2b+12a-3/5a^2b	$\frac{2}{5} a b^{2} - 16 a + \frac{3}{4} a b^{2} - \frac{6}{5} a^{2} b + 12 a - \frac{3}{5} a^{2} b$
236656	Solve for x	7^(3x)>5	$7^{3 x} > 5$
236657	Simplify the Radical Expression	square root of 60x^4y^5	$\sqrt{60 x^{4}} y^{5}$
236658	Solve for n	77<=5+8n	$77 \leq 5 + 8 n$
236659	Divide Using Long Polynomial Division	(6x^4+5x^3-1)/(3x^2+x-2)	$\frac{6 x^{4} + 5 x^{3} - 1}{3 x^{2} + x - 2}$
236660	Find the Remainder	(9x^4-45x^3+37x^2+x+2)÷(x-2)	$(9 x^{4} - 45 x^{3} + 37 x^{2} + x + 2) \div (x - 2)$
236661	Solve for x	-x^2+2x=1	$- x^{2} + 2 x = 1$
236662	Solve for d	d = square root of (5--2)^2+(-4-1)^2	$d = \sqrt{{(5 - - 2)}^{2} + {(- 4 - 1)}^{2}}$
236663	Graph	5x+8<=-27 or 5x+8>-12	$5 x + 8 \leq - 27$ or $5 x + 8 > - 12$
236664	Divide	3/44/5	$\frac{3}{4} \cdot \frac{4}{5}$
236665	Find the Exact Value	4*4+8^2	$4 \cdot 4 + 8^{2}$
236666	Graph	2x+y=2 y=-1/3x-3	$2 x + y = 2$ $y = - \frac{1}{3} x - 3$
236667	Solve the Rational Equation for k	-6+ square root of k/6=-3	$- 6 + \sqrt{\frac{k}{6}} = - 3$
236668	Find the Exact Value	((4^3)/(5^-2))^5	${(\frac{4^{3}}{5^{- 2}})}^{5}$
236669	Solve for x	\|x-3\|>0	$\| x - 3 \| > 0$
236670	Solve for x	square root of 4x+ square root of 6=12	$\sqrt{4 x} + \sqrt{6} = 12$
236671	Find the Exact Value	square root of (2- square root of 5)^2	$\sqrt{{(2 - \sqrt{5})}^{2}}$
236672	Find the Exact Value	sin(pi/2)+cos(pi)	$\sin (\frac{π}{2}) + \cos (π)$
236673	Solve the Inequality for x	2/3x-5/6<1/2	$\frac{2}{3} x - \frac{5}{6} < \frac{1}{2}$
236674	Solve for m	f=(3m+4)/(m-1)	$f = \frac{3 m + 4}{m - 1}$
236675	Simplify	f(x)=5x^2-7(4x+3)	$f (x) = 5 x^{2} - 7 (4 x + 3)$
236676	Find the Inverse	f(x)=4sin(2x+5)-7	$f (x) = 4 \sin (2 x + 5) - 7$
236677	Simplify	(a^5)/(a^9b)	$\frac{a^{5}}{a^{9} b}$
236678	Evaluate	1/3 log of 1000-2 log base 2 of 64- log base 6 of 6	$\frac{1}{3} \log (1000) - 2 \log_{2} (64) - \log_{6} (6)$
236679	Evaluate	0/( square root of 1-(0)^2)	$\frac{0}{\sqrt{1 - {(0)}^{2}}}$
236680	Solve the Inequality for x	2<-x/3	$2 < - \frac{x}{3}$
236681	Simplify	( square root of 3+ square root of z)( square root of 3- square root of z)	$(\sqrt{3} + \sqrt{z}) (\sqrt{3} - \sqrt{z})$
236682	Determine if Dependent, Independent, or Inconsistent	2x-5y=10 3x+y=15	$2 x - 5 y = 10$ $3 x + y = 15$
236683	Solve the System of Equations	(x+1)^2+y^2=26 x+y=-7	${(x + 1)}^{2} + y^{2} = 26$ $x + y = - 7$
236684	Solve for x	5/(2x)=8/(3x-6)	$\frac{5}{2 x} = \frac{8}{3 x - 6}$
236685	Multiply	4x(10x^2+x)	$4 x (10 x^{2} + x)$
236686	Solve for y	(y-1)^2-13(y-1)+36=0	${(y - 1)}^{2} - 13 (y - 1) + 36 = 0$
236687	Graph	x<5 or x>=7	$x < 5$ or $x \geq 7$
236688	Simplify	(2xy)^3*x^2y^2	${(2 x y)}^{3} \cdot x^{2} y^{2}$
236689	Simplify	((a^2-4)/(3a))÷((5a^2)/(a-2))	$\frac{a^{2} - 4}{3 a} \div \frac{5 a^{2}}{a - 2}$
236690	Simplify	( square root of 8)/(2 square root of 9)	$\frac{\sqrt{8}}{2 \sqrt{9}}$
236691	Divide	(56y^3+49y^2)÷(-7y)y^3	$(56 y^{3} + 49 y^{2}) \div (- 7 y) y^{3}$
236692	Divide Using Long Polynomial Division	(18x^4+9x^3+3x^2)÷(3x^2+1)	$(18 x^{4} + 9 x^{3} + 3 x^{2}) \div (3 x^{2} + 1)$
236693	Solve by Factoring	1/4x^2+11=38	$\frac{1}{4} x^{2} + 11 = 38$
236694	Divide	((4x-24)/(-3x-15))/((x^2-36)/(x+5))	$\frac{\frac{4 x - 24}{- 3 x - 15}}{\frac{x^{2} - 36}{x + 5}}$
236695	Find the Exact Value	22+82^2+9	$2 \cdot 2 + 8 \cdot 2^{2} + 9$
236696	Evaluate	-2(x+2)<14	$- 2 (x + 2) < 14$
236697	Graph	y>=-1/2x-4 y<=x+1	$y \geq - \frac{1}{2} x - 4$ $y \leq x + 1$
236698	Graph	x^2+y^2+ax+by+c=0	$x^{2} + y^{2} + a x + b y + c = 0$
236699	Solve by Factoring	x^2=5	$x^{2} = 5$
236700	Solve for x	(3cos(x)-6sin(x))^2-27sin(x)^2=9	${(3 \cos (x) - 6 \sin (x))}^{2} - 27 \sin^{2} (x) = 9$