Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170601	Solve the Rational Equation for x	(x^2-1)/(x-3)=8/(x-3)	$\frac{x^{2} - 1}{x - 3} = \frac{8}{x - 3}$
170602	Evaluate	(15-9)/3*(19-10)	$\frac{15 - 9}{3} \cdot (19 - 10)$
170603	Simplify	((4z+4)/(2z-6))÷((z^2+5z+6)/(z^2-5z+6))*(2z+4)/(4z-4)	$\frac{4 z + 4}{2 z - 6} \div \frac{z^{2} + 5 z + 6}{z^{2} - 5 z + 6} \cdot \frac{2 z + 4}{4 z - 4}$
170604	Solve for x	a=2x+6xz for x	$a = 2 x + 6 x z$ for $x$
170605	Find the Exact Value	2cos(15 degrees )^2-1	$2 \cos^{2} (15 °) - 1$
170606	Evaluate	(x-1/2)^2	${(x - \frac{1}{2})}^{2}$
170607	Graph	y>-2 x+y<4	$y > - 2$ $x + y < 4$
170608	Factor	x^4-13x^2+36=0	$x^{4} - 13 x^{2} + 36 = 0$
170609	Simplify	(-2(v^-1)^2)/(-5v)	$\frac{- 2 {(v^{- 1})}^{2}}{- 5 v}$
170610	Solve the Inequality for x	2x<=-2/3(4x+4)	$2 x \leq - \frac{2}{3} (4 x + 4)$
170611	Solve for g	f=12gh+15g	$f = 12 g h + 15 g$
170612	Simplify	((x+4)/2)÷((x^2-16)/8)	$\frac{x + 4}{2} \div \frac{x^{2} - 16}{8}$
170613	Simplify	(-6j^-9)/((-2j^4)^3)	$\frac{- 6 j^{- 9}}{{(- 2 j^{4})}^{3}}$
170614	Solve the Inequality for x	x^2>=25	$x^{2} \geq 25$
170615	Solve the Absolute Value Inequality for x	\|x+4\|<=8	$\| x + 4 \| \leq 8$
170616	Solve the Inequality for x	1>x+8	$1 > x + 8$
170617	Simplify	square root of 11(4 square root of 7- square root of 175)	$\sqrt{11} (4 \sqrt{7} - \sqrt{175})$
170618	Simplify	((2x)/(3y^-1))^2	${(\frac{2 x}{3 y^{- 1}})}^{2}$
170619	Simplify	x square root of 54x^6y^6	$x \sqrt{54 x^{6} y^{6}}$
170620	Graph	oi	$o i$
170621	Solve for x	square root of 4x-3- square root of 9-2x=0	$\sqrt{4 x - 3} - \sqrt{9 - 2 x} = 0$
170622	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-12x=0	$x^{2} - 12 x = 0$
170623	Find the Domain and Range	(x^2-4)/(x-2)	$\frac{x^{2} - 4}{x - 2}$
170624	Solve for x	-6x^2+6-2x=x	$- 6 x^{2} + 6 - 2 x = x$
170625	Solve the Absolute Value Inequality for c	\|4c+5\|>7	$\| 4 c + 5 \| > 7$
170626	Solve for x	2/(x+3)-3/(4-x)=(2x-2)/(x^2-x-12)	$\frac{2}{x + 3} - \frac{3}{4 - x} = \frac{2 x - 2}{x^{2} - x - 12}$
170627	Multiply	(x^2+3)(4x+2)	$(x^{2} + 3) (4 x + 2)$
170628	Find the Domain and Range	d(t)=1/2t+6	$d (t) = \frac{1}{2} t + 6$
170629	Simplify	(x^2+x-6)/(x^2-9)	$\frac{x^{2} + x - 6}{x^{2} - 9}$
170630	Solve Using the Quadratic Formula	2(x^2-7)-2=2	$2 (x^{2} - 7) - 2 = 2$
170631	Find the Exact Value	cube root of 32	$\sqrt[3]{32}$
170632	Simplify	(z^2+4zy+4y^2)/(4z+8y)	$\frac{z^{2} + 4 z y + 4 y^{2}}{4 z + 8 y}$
170633	Graph	x^3+x^2-4x-4	$x^{3} + x^{2} - 4 x - 4$
170634	Solve the Inequality for x	(x-2)(x+5)>=0	$(x - 2) (x + 5) \geq 0$
170635	Divide	((2x-1)/(x+1))÷((3x^2)/(x^2+x))	$\frac{2 x - 1}{x + 1} \div \frac{3 x^{2}}{x^{2} + x}$
170636	Solve the Inequality for x	x^3+3x^2-9x-27>0	$x^{3} + 3 x^{2} - 9 x - 27 > 0$
170637	Solve for c	5c+4=2(c-5)	$5 c + 4 = 2 (c - 5)$
170638	Evaluate	2/3+5/3-1/6	$\frac{2}{3} + \frac{5}{3} - \frac{1}{6}$
170639	Find All Complex Solutions	-4x-7+10x=-7+6x	$- 4 x - 7 + 10 x = - 7 + 6 x$
170640	Simplify	((5^3)^9)÷(5^12)	${(5^{3})}^{9} \div 5^{12}$
170641	Solve the Inequality for x	\|2x-3\|<=7	$\| 2 x - 3 \| \leq 7$
170642	Evaluate	(2pi)/((7pi)/3)	$\frac{2 π}{\frac{7 π}{3}}$
170643	Find the Exact Value	(2tan(15 degrees ))/(1-tan(15 degrees )^2)	$\frac{2 \tan (15 °)}{1 - \tan^{2} (15 °)}$
170644	Simplify	8x^-9+(-3x^-3y^-2)(5/(x^6y^-2))	$8 x^{- 9} + (- 3 x^{- 3} y^{- 2}) (\frac{5}{x^{6} y^{- 2}})$
170645	Simplify	(cos(theta))/(1+csc(theta))*(1-csc(theta))/(1-csc(theta))	$\frac{\cos (θ)}{1 + \csc (θ)} \cdot \frac{1 - \csc (θ)}{1 - \csc (θ)}$
170646	Simplify	yx^(1/3)*xy^(3/2)	$y x^{\frac{1}{3}} \cdot x y^{\frac{3}{2}}$
170647	Solve for x	-1+2x+11=3x+3	$- 1 + 2 x + 11 = 3 x + 3$
170648	Graph	20>=4/5w	$20 \geq \frac{4}{5} w$
170649	Evaluate	(2+x)^3	${(2 + x)}^{3}$
170650	Find the GCF	14x+4xy-18xy^2	$14 x + 4 x y - 18 x y^{2}$
170651	Solve for θ	0 degrees <=theta<360 degrees	$0 ° \leq θ < 360 °$
170652	Factor	4u^2x+16ux^2+16x^3	$4 u^{2} x + 16 u x^{2} + 16 x^{3}$
170653	Solve by Completing the Square	u^2+(4u)/5=5	$u^{2} + \frac{4 u}{5} = 5$
170654	Write in Standard Form	13=x-y	$13 = x - y$
170655	Divide	1÷(3/2)	$1 \div \frac{3}{2}$
170656	Solve the Inequality for x	\|x-8\|>4	$\| x - 8 \| > 4$
170657	Subtract	2/5-3/6	$\frac{2}{5} - \frac{3}{6}$
170658	Solve the Inequality for x	3x^2-8x+5>=0	$3 x^{2} - 8 x + 5 \geq 0$
170659	Simplify	((2y^-5n^4)^-3)/(6y^7n^-5)	$\frac{{(2 y^{- 5} n^{4})}^{- 3}}{6 y^{7} n^{- 5}}$
170660	Write in Standard Form	-3x^2+x=13	$- 3 x^{2} + x = 13$
170661	Simplify	(7 square root of -10)(-8 square root of -7)	$(7 \sqrt{- 10}) (- 8 \sqrt{- 7})$
170662	Solve for r	-17r+20r-11r+5r+17=-10	$- 17 r + 20 r - 11 r + 5 r + 17 = - 10$
170663	Solve for z	2(5+z)=16	$2 (5 + z) = 16$
170664	Solve for b	3/8-3/10b=1/2	$\frac{3}{8} - \frac{3}{10} b = \frac{1}{2}$
170665	Simplify	2d+17-3-2d+4d	$2 d + 17 - 3 - 2 d + 4 d$
170666	Evaluate	162÷(6(7-4)^2)	$162 \div (6 {(7 - 4)}^{2})$
170667	Solve for s	s/(2s+6)-2/(5s+5)=(5s^2-3s-7)/(10s^2+40s+30)	$\frac{s}{2 s + 6} - \frac{2}{5 s + 5} = \frac{5 s^{2} - 3 s - 7}{10 s^{2} + 40 s + 30}$
170668	Solve for w	4(5-w)=-2(2w-3)	$4 (5 - w) = - 2 (2 w - 3)$
170669	Simplify	(z^2-4)/(z^2-1)*(z+1)/(z+2)	$\frac{z^{2} - 4}{z^{2} - 1} \cdot \frac{z + 1}{z + 2}$
170670	Solve for s	-11s=-3	$- 11 s = - 3$
170671	Solve for r	E=I(R+r)	$E = I (R + r)$
170672	Simplify	(7x^2)(2x^3+5)(x^2-4x-9)	$(7 x^{2}) (2 x^{3} + 5) (x^{2} - 4 x - 9)$
170673	Find All Complex Solutions	23y+50+27y=50y+50	$23 y + 50 + 27 y = 50 y + 50$
170674	Write in Standard Form	(-2+ square root of -8)+(5- square root of -50)	$(- 2 + \sqrt{- 8}) + (5 - \sqrt{- 50})$
170675	Simplify	3/5x+19-3/20x-7	$\frac{3}{5} x + 19 - \frac{3}{20} x - 7$
170676	Solve for c	5/6+9/10c=1/2	$\frac{5}{6} + \frac{9}{10} c = \frac{1}{2}$
170677	Solve the Inequality for x	\|x-3\|<5	$\| x - 3 \| < 5$
170678	Solve the Rational Equation for x	square root of 2x+5=x-5	$\sqrt{2 x + 5} = x - 5$
170679	Write in Standard Form	(1-4m)(m^2-3m+8)	$(1 - 4 m) (m^{2} - 3 m + 8)$
170680	Factor	ab+b	$a b + b$
170681	Solve for y	y(a-b)=c(y+a)	$y (a - b) = c (y + a)$
170682	Simplify	x/(x^-2*x^-1)	$\frac{x}{x^{- 2} \cdot x^{- 1}}$
170683	Simplify	(x+8)/(x^2)*(2x^2)/(2x+16)	$\frac{x + 8}{x^{2}} \cdot \frac{2 x^{2}}{2 x + 16}$
170684	Simplify	-9(7x^2-7x^3-9x^2+9x^3)	$- 9 (7 x^{2} - 7 x^{3} - 9 x^{2} + 9 x^{3})$
170685	Evaluate Using the Given Value	8a-1+0.5b when a=1/4 and b=10	$8 a - 1 + 0.5 b$ when $a = \frac{1}{4}$ and $b = 10$
170686	Solve the Inequality for x	-8>=-5x+7>=-33	$- 8 \geq - 5 x + 7 \geq - 33$
170687	Solve for a	1/4a-3/4=1/2	$\frac{1}{4} a - \frac{3}{4} = \frac{1}{2}$
170688	Graph	(2,pi/6)	$(2, \frac{π}{6})$
170689	Solve the Inequality for x	x/(x+1)>3x	$\frac{x}{x + 1} > 3 x$
170690	Evaluate	(3!+0!)/(2!*1!)	$\frac{3! + 0!}{2! \cdot 1!}$
170691	Solve for x	x+3.5=4 1/3	$x + 3.5 = 4 \frac{1}{3}$
170692	Graph	f(x)=2x+x^2	$f (x) = 2 x + x^{2}$
170693	Solve for x	3x-1/4=y	$3 x - \frac{1}{4} = y$
170694	Solve for a	1/2a+1/4=5/6	$\frac{1}{2} a + \frac{1}{4} = \frac{5}{6}$
170695	Simplify	- square root of 36+ square root of -36+ square root of 16+ square root of -9	$- \sqrt{36} + \sqrt{- 36} + \sqrt{16} + \sqrt{- 9}$
170696	Multiply	m(-m^3+m^2+3m)	$m (- m^{3} + m^{2} + 3 m)$
170697	Factor	15x^2y^4z^5-9z^2	$15 x^{2} y^{4} z^{5} - 9 z^{2}$
170698	Factor	28x^3y^3z+29x^7y^2	$28 x^{3} y^{3} z + 29 x^{7} y^{2}$
170699	Solve the Inequality for x	2/(x+1)>=3/(x-1)	$\frac{2}{x + 1} \geq \frac{3}{x - 1}$
170700	Solve the Inequality for x	x^2+x<12	$x^{2} + x < 12$