Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224601	Solve the Rational Equation for x	3 cube root of x = cube root of 7x+5	$3 \sqrt[3]{x} = \sqrt[3]{7 x + 5}$
224602	Simplify	(3x^3)(2x^2-7x-8)x^3	$(3 x^{3}) (2 x^{2} - 7 x - 8) x^{3}$
224603	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-4) and has a slope of -2 ?	What is the equation of the line that passes through the point $(2, - 4)$ and has a slope of $- 2$ ?
224604	Evaluate	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{- \frac{1}{5}}$
224605	Solve by Completing the Square	x^2+3/2x-3=0	$x^{2} + \frac{3}{2} x - 3 = 0$
224606	Evaluate	sec(x)^2-6tan(x)=-4	$\sec^{2} (x) - 6 \tan (x) = - 4$
224607	Solve for x	9x+5x-8=-2x	$9 x + 5 x - 8 = - 2 x$
224608	Simplify	3x^9y^9*6x^4	$3 x^{9} y^{9} \cdot 6 x^{4}$
224609	Evaluate	38/2+3(8)^2	$\frac{38}{2} + 3 {(8)}^{2}$
224610	Find the Quotient	(-7x^4+5x^3+20x^2+10)÷(-x^2+x+3)	$(- 7 x^{4} + 5 x^{3} + 20 x^{2} + 10) \div (- x^{2} + x + 3)$
224611	Graph	y<3x 2 y<=3x-4	$y < 3 x$ $2$ $y \leq 3 x - 4$
224612	Simplify	(2x-3)/(x^2-8x+12)-(x-1)/(x^2-8x+12)	$\frac{2 x - 3}{x^{2} - 8 x + 12} - \frac{x - 1}{x^{2} - 8 x + 12}$
224613	Simplify	(3x^5-18x^4-21x^3)/(2x^6-98x^4)	$\frac{3 x^{5} - 18 x^{4} - 21 x^{3}}{2 x^{6} - 98 x^{4}}$
224614	Solve for y	-2(18-3y)=7y+2y	$- 2 (18 - 3 y) = 7 y + 2 y$
224615	Simplify	((10m-90)/10)÷((m^2+9m+18)/(7m^2+42m))	$\frac{10 m - 90}{10} \div \frac{m^{2} + 9 m + 18}{7 m^{2} + 42 m}$
224616	Find the Discriminant	m^2+5m=2m^2	$m^{2} + 5 m = 2 m^{2}$
224617	Graph	x(x+2)(x+1)(x-1)	$x (x + 2) (x + 1) (x - 1)$
224618	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-13x^3+11x^2+15x-2 is divided by x-2	Use synthetic division to find the result when $2 x^{4} - 13 x^{3} + 11 x^{2} + 15 x - 2$ is divided by $x - 2$
224619	Multiply	cube root of 3* cube root of -20	$\sqrt[3]{3} \cdot \sqrt[3]{- 20}$
224620	Graph	x+2<=0	$x + 2 \leq 0$
224621	Write in Slope-Intercept Form	-y-2=2/5x	$- y - 2 = \frac{2}{5} x$
224622	Simplify	(2x-3)(2x-1)(x-1)(2x+3)	$(2 x - 3) (2 x - 1) (x - 1) (2 x + 3)$
224623	Simplify	((2a+b)/a-(a+2b)/b)*((a-b)/(b^2+ab)+(a+b)/(b^2-ab))	$(\frac{(2 a + b)}{a} - \frac{(a + 2 b)}{b}) \cdot (\frac{(a - b)}{b^{2} + a b} + \frac{(a + b)}{b^{2} - a b})$
224624	Graph	f(x)=x^2(2x+12)(x-4)(x+2)	$f (x) = x^{2} (2 x + 12) (x - 4) (x + 2)$
224625	Find the Degree	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
224626	Simplify	( cube root of 3)/(2 cube root of -375)	$\frac{\sqrt[3]{3}}{2 \sqrt[3]{- 375}}$
224627	Solve for x	cos(x)=2/pi	$\cos (x) = \frac{2}{π}$
224628	Graph	y>=-2(x-3)^2+2	$y \geq - 2 {(x - 3)}^{2} + 2$
224629	Graph	2x-6<=y	$2 x - 6 \leq y$
224630	Solve for z	\|z/2+4\|=\|4z-6\|	$\| \frac{z}{2} + 4 \| = \| 4 z - 6 \|$
224631	Solve for p	4p-5<=25	$4 p - 5 \leq 25$
224632	Evaluate	4(3/2)^1	$4 {(\frac{3}{2})}^{1}$
224633	Expand the Logarithmic Expression	log base 2 of (4x^7y^2)/(12z)	$\log_{2} (\frac{4 x^{7} y^{2}}{12 z})$
224634	Simplify	3+ square root of 2-7+3 square root of 2	$3 + \sqrt{2} - 7 + 3 \sqrt{2}$
224635	Solve for x	2/(3x)+2/3=8/(x+6)	$\frac{2}{3 x} + \frac{2}{3} = \frac{8}{x + 6}$
224636	Evaluate	5/(-2^2)	$\frac{5}{- 2^{2}}$
224637	Evaluate the Function	g(-x)=(-x)^2	$g (- x) = {(- x)}^{2}$
224638	Solve the System of Equations	y=4x+3 and y=-x-2	$y = 4 x + 3$ and $y = - x - 2$
224639	Solve for x	4x-6+5x=2x+21-2x	$4 x - 6 + 5 x = 2 x + 21 - 2 x$
224640	Evaluate	2(x+5)=3x+1	$2 (x + 5) = 3 x + 1$
224641	Find the Roots (Zeros)	y=(x-1)(x+1)(x-3)(x-2)	$y = (x - 1) (x + 1) (x - 3) (x - 2)$
224642	Factor	2^(2x)-12*2^x+2^5	$2^{2 x} - 12 \cdot 2^{x} + 2^{5}$
224643	Subtract	square root of 324-1/2 square root of 64	$\sqrt{324} - \frac{1}{2} \sqrt{64}$
224644	Graph	sec(theta)>0 and cot(theta)<0	$\sec (θ) > 0$ and $\cot (θ) < 0$
224645	Solve for m	21=-7+7m^2	$21 = - 7 + 7 m^{2}$
224646	Simplify	(4x^0y^-2)/(4xy^-4)	$\frac{4 x^{0} y^{- 2}}{4 x y^{- 4}}$
224647	Solve the System of Equations	x-y+z=0 -x+2y-3z=-5 2x-3y+5z=8	$x - y + z = 0$ $- x + 2 y - 3 z = - 5$ $2 x - 3 y + 5 z = 8$
224648	Find the Domain and Range	f(x) = square root of 1/9-x^2	$f (x) = \sqrt{\frac{1}{9} - x^{2}}$
224649	Solve for x	3x-20-7x=2x+20+2x	$3 x - 20 - 7 x = 2 x + 20 + 2 x$
224650	Solve the System of Equations	-x+2y+z=0 -x+2y+3z=0 x-5y-2z=9	$- x + 2 y + z = 0$ $- x + 2 y + 3 z = 0$ $x - 5 y - 2 z = 9$
224651	Solve for b	3+6\|-2+b\|=45	$3 + 6 \| - 2 + b \| = 45$
224652	Multiply	cube root of -9x^2y^4* cube root of 12xy	$\sqrt[3]{- 9 x^{2} y^{4}} \cdot \sqrt[3]{12 x y}$
224653	Simplify	(x^2+7x)+(2x^2-7x)	$(x^{2} + 7 x) + (2 x^{2} - 7 x)$
224654	Simplify	(2 square root of 3)^4	${(2 \sqrt{3})}^{4}$
224655	Solve for u	8/(4u-8)-1=2/(u-2)	$\frac{8}{4 u - 8} - 1 = \frac{2}{u - 2}$
224656	Evaluate	square root of x- square root of x-5=-1	$\sqrt{x} - \sqrt{x - 5} = - 1$
224657	Multiply	(5a)/(5a+5)*(10a+10)/a	$\frac{5 a}{5 a + 5} \cdot \frac{10 a + 10}{a}$
224658	Simplify	3(x-2)=2(x-2)	$3 (x - 2) = 2 (x - 2)$
224659	Evaluate	6/8=(23)/(24)	$\frac{6}{8} = \frac{2 \cdot 3}{2 \cdot 4}$
224660	Solve for x	2(x+5)=5-4(x+5)	$2 (x + 5) = 5 - 4 (x + 5)$
224661	Simplify	2 fourth root of p^2q*7 fourth root of p^3q^10	$2 \sqrt[4]{p^{2} q} \cdot 7 \sqrt[4]{p^{3} q^{10}}$
224662	Solve for x	32^(-3x)=(1/4)^(-3x)	$32^{- 3 x} = {(\frac{1}{4})}^{- 3 x}$
224663	Solve for x	x^3+a=c	$x^{3} + a = c$
224664	Evaluate	(2 square root of 3)^4	${(2 \sqrt{3})}^{4}$
224665	Solve the Inequality for x	2<=(4x+2)/-3<=10	$2 \leq \frac{4 x + 2}{- 3} \leq 10$
224666	Evaluate	sin((2pi)/4)	$\sin (\frac{2 π}{4})$
224667	Evaluate	arctan(cos(pi))	$\arctan (\cos (π))$
224668	Simplify	(x^2+6x-7)/(2x^3+2x^2-4x)4/(x+7)(x^3-4x)/(6x^2-12x)	$\frac{x^{2} + 6 x - 7}{2 x^{3} + 2 x^{2} - 4 x} \cdot \frac{4}{x + 7} \cdot \frac{x^{3} - 4 x}{6 x^{2} - 12 x}$
224669	Divide	( square root of 35)÷( square root of 7)	$\sqrt{35} \div \sqrt{7}$
224670	Convert to a Decimal	32deg	$32$ degrees
224671	Subtract	(5x+3)/6-(-6x+9)/6	$\frac{5 x + 3}{6} - \frac{- 6 x + 9}{6}$
224672	Simplify	(4j)^3(-j^-2k^2)(3j^5k^-7)^3	${(4 j)}^{3} (- j^{- 2} k^{2}) {(3 j^{5} k^{- 7})}^{3}$
224673	Solve the Inequality for x	-3x-2x<5	$- 3 x - 2 x < 5$
224674	Factor	F(x)=x^3-1	$F (x) = x^{3} - 1$
224675	Simplify the Radical Expression	2 cube root of 48	$2 \sqrt[3]{48}$
224676	Solve for y	x=(y-1)/2	$x = \frac{y - 1}{2}$
224677	Write in Standard Form	0=x-4	$0 = x - 4$
224678	Subtract	-7x^2-6x+9 and -3x^2-x+7	$- 7 x^{2} - 6 x + 9$ and $- 3 x^{2} - x + 7$
224679	Solve the Inequality for y	-6(y+2)>2(-3y+12)	$- 6 (y + 2) > 2 (- 3 y + 12)$
224680	Graph	2x-5y=-10 y=-3/5x+7	$2 x - 5 y = - 10$ $y = - \frac{3}{5} x + 7$
224681	Subtract	-(3z^2+4z)-(6z^2-2)	$- (3 z^{2} + 4 z) - (6 z^{2} - 2)$
224682	Graph	table[[5x^2+6x+12,-(2x^2+x+3)]]	$\begin{array}{c} 5 x^{2} + 6 x + 12 & - (2 x^{2} + x + 3) \end{array}$
224683	Find the Roots (Zeros)	w(t)=-x(x-3)	$w (t) = - x (x - 3)$
224684	Solve the System of Equations	4x-y-8z=5 x-y-8z=-4 x+y+7z=9	$4 x - y - 8 z = 5$ $x - y - 8 z = - 4$ $x + y + 7 z = 9$
224685	Simplify the Radical Expression	6 cube root of -2	$6 \sqrt[3]{- 2}$
224686	Find All Complex Solutions	x-6 = square root of 3x	$x - 6 = \sqrt{3 x}$
224687	Simplify the Radical Expression	sixth root of 9y^14e^4s^12	$\sqrt[6]{9 y^{14} e^{4} s^{12}}$
224688	Solve for r	-1+r>=4	$- 1 + r \geq 4$
224689	Simplify	(x+h)^2+1	${(x + h)}^{2} + 1$
224690	Evaluate	( square root of a square root of b)/( ninth root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[9]{a b}}$
224691	Evaluate	(x^6)/(xy^-5y^3)	$\frac{x^{6}}{x y^{- 5} y^{3}}$
224692	Simplify	square root of 36x^3+ square root of 64x^3-x square root of 9xy	$\sqrt{36 x^{3}} + \sqrt{64 x^{3}} - x \sqrt{9 x y}$
224693	Evaluate	0.5(5-7x)=8-(4x+6)	$0.5 (5 - 7 x) = 8 - (4 x + 6)$
224694	Solve for x	x^2+1=-4x	$x^{2} + 1 = - 4 x$
224695	Graph	x+8y<=50 x<=30 y>=2	$x + 8 y \leq 50$ $x \leq 30$ $y \geq 2$
224696	Solve for x	5-3(2x-7)=2(7-3x)	$5 - 3 (2 x - 7) = 2 (7 - 3 x)$
224697	Find the LCD	1/(6x+6) and 9/(2x)	$\frac{1}{6 x + 6}$ and $\frac{9}{2 x}$
224698	Divide Using Long Polynomial Division	(4x^3+4x^2-3x)÷(2x+1)	$(4 x^{3} + 4 x^{2} - 3 x) \div (2 x + 1)$
224699	Simplify	x/(3/2)	$\frac{x}{\frac{3}{2}}$
224700	Simplify	7x^6y^4+(x^3y^2)^2	$7 x^{6} y^{4} + {(x^{3} y^{2})}^{2}$