Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229501	Write in Standard Form	-y-10=6x	$- y - 10 = 6 x$
229502	Divide Using Long Polynomial Division	4x^3-22x^2+20x-9 divided by 2x-9	$4 x^{3} - 22 x^{2} + 20 x - 9$ divided by $2 x - 9$
229503	Factor by Grouping	x^3+2x^2+x	$x^{3} + 2 x^{2} + x$
229504	Solve the System of Inequalities	2x+4y<=6 y>=2	$2 x + 4 y \leq 6$ $y \geq 2$
229505	Find the First Term	a_n=-11(n-1)-6	$a_{n} = - 11 (n - 1) - 6$
229506	Simplify the Radical Expression	square root of 72- square root of 50+3 square root of 8	$\sqrt{72} - \sqrt{50} + 3 \sqrt{8}$
229507	Find the Roots (Zeros)	1/3x^4=27	$\frac{1}{3} x^{4} = 27$
229508	Solve for x	2/3(x-5/4)=-1/3	$\frac{2}{3} (x - \frac{5}{4}) = - \frac{1}{3}$
229509	Rationalize the Denominator	y/( square root of 5x)	$\frac{y}{\sqrt{5 x}}$
229510	Simplify	3(2r+4r^2-7r+4r^2)	$3 (2 r + 4 r^{2} - 7 r + 4 r^{2})$
229511	Solve the Rational Equation for x	cube root of x^2=9	$\sqrt[3]{x^{2}} = 9$
229512	Find the x and y Intercepts	f(x)=1/( square root of x-9)	$f (x) = \frac{1}{\sqrt{x - 9}}$
229513	Solve for x	2x=-3x-2(x-3.1)-5.5	$2 x = - 3 x - 2 (x - 3.1) - 5.5$
229514	Simplify	-9/(x+3)+(x^2)/(x+3)	$- \frac{9}{x + 3} + \frac{x^{2}}{x + 3}$
229515	Write in Slope-Intercept Form	(7,0) and (-2,6)	$(7, 0)$ and $(- 2, 6)$
229516	Simplify	(40x^2 square root of x^12)÷10x^2 square root of 29x^8	$40 x^{2} \sqrt{x^{12}} \div 10 x^{2} \sqrt{29 x^{8}}$
229517	Simplify	3 square root of 5a*-3 square root of 20a^3	$3 \sqrt{5 a} \cdot - 3 \sqrt{20 a^{3}}$
229518	Write as a Single Logarithm	natural log of 30+2 natural log of 5- natural log of 15	$\ln (30) + 2 \ln (5) - \ln (15)$
229519	Simplify	(x/(y^2))^5((x^2y^3)/(z^2))^3	${(\frac{x}{y^{2}})}^{5} {(\frac{x^{2} y^{3}}{z^{2}})}^{3}$
229520	Write in Exponential Form	a root of b root of x	$\sqrt[a]{\sqrt[b]{x}}$
229521	Graph	y=1/2 cube root of x-1+3	$y = \frac{1}{2} \sqrt[3]{x - 1} + 3$
229522	Simplify	cube root of square root of 64x^3	$\sqrt[3]{\sqrt{64 x^{3}}}$
229523	Evaluate	75% of 80	$75 %$ of $80$
229524	Simplify the Radical Expression	square root of 7x^2y	$\sqrt{7 x^{2} y}$
229525	Solve for z	y=2wz-2wx-2xz	$y = 2 w z - 2 w x - 2 x z$
229526	Graph	slope of 2	slope of $2$
229527	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+10x^2-14x-15 is divided by 2x-3	Use the long division method to find the result when $4 x^{3} + 10 x^{2} - 14 x - 15$ is divided by $2 x - 3$
229528	Simplify	10 root of fifth root of x^20	$\sqrt[10]{\sqrt[5]{x^{20}}}$
229529	Solve for x	(3x+9)/2+(x+1)/5=x+4	$\frac{3 x + 9}{2} + \frac{x + 1}{5} = x + 4$
229530	Solve for x	5(1/2x+2)=4(x-2)	$5 (\frac{1}{2} x + 2) = 4 (x - 2)$
229531	Find the Exact Value	3((7+8)2+6)	$3 \cdot ((7 + 8) \cdot 2 + 6)$
229532	Find the Equation of the Circle	center at (0,0) ; radius 3	center at $(0, 0)$ ; radius $3$
229533	Simplify	(8(3x+10)-1)/((3x+10)+4)	$\frac{8 (3 x + 10) - 1}{(3 x + 10) + 4}$
229534	Simplify	(x-4)(2x-1)(2x+1)(x-1)	$(x - 4) (2 x - 1) (2 x + 1) (x - 1)$
229535	Simplify	( cube root of 8+ cube root of 4)( cube root of 64- cube root of 32+ cube root of 16)	$(\sqrt[3]{8} + \sqrt[3]{4}) (\sqrt[3]{64} - \sqrt[3]{32} + \sqrt[3]{16})$
229536	Find All Complex Solutions	3x-5=x+3	$3 x - 5 = x + 3$
229537	Solve for x	5-1/2x=5/8x+2	$5 - \frac{1}{2} x = \frac{5}{8} x + 2$
229538	Write the Fraction in Simplest Form	(3x)^-3	${(3 x)}^{- 3}$
229539	Solve for Y	X=Z/Y	$X = \frac{Z}{Y}$
229540	Solve for y	M=(x-y)/5	$M = \frac{x - y}{5}$
229541	Find the Equation Given the Roots	1 and -4i	$1$ and $- 4 i$
229542	Solve Over the Interval	sin(3x)=1 , 0<=x<2pi	$\sin (3 x) = 1$ , $0 \leq x < 2 π$
229543	Divide Using Synthetic Division	(5x^3-25x^2+6x^4-30x^3)÷(x+5)	$(5 x^{3} - 25 x^{2} + 6 x^{4} - 30 x^{3}) \div (x + 5)$
229544	Simplify	(3x+x^2-x^3)-(x^3+2x^2+5x)	$(3 x + x^{2} - x^{3}) - (x^{3} + 2 x^{2} + 5 x)$
229545	Evaluate the Function	h(x)=17+x/6	$h (x) = 17 + \frac{x}{6}$
229546	Multiply	(12a^2-3)/2(2a+1)^-2(6/(2a+1))^-1	$\frac{12 a^{2} - 3}{2} \cdot {(2 a + 1)}^{- 2} \cdot {(\frac{6}{(2 a + 1)})}^{- 1}$
229547	Simplify	4x+x(13-7)	$4 x + x (13 - 7)$
229548	Evaluate	6(2r+(-1))+1	$6 (2 r + (- 1)) + 1$
229549	Graph	f(x)> square root of 2x-1-3	$f (x) > \sqrt{2 x - 1} - 3$
229550	Write in Slope-Intercept Form	x-3y<0	$x - 3 y < 0$
229551	Find the Domain and Range	f(x)=tan(x-pi)	$f (x) = \tan (x - π)$
229552	Find the Slope and y-intercept	5=10x-5y	$5 = 10 x - 5 y$
229553	Solve the System of Equations	5y=2-6x y-2x=10	$5 y = 2 - 6 x$ $y - 2 x = 10$
229554	Simplify	(x/2+x/3)*6/x	$(\frac{x}{2} + \frac{x}{3}) \cdot \frac{6}{x}$
229555	Simplify	-4/(9-x^2)(x^2-9)/(24x-4x^2)(x^2-36)/(x^2+9x+18)	$\frac{- 4}{9 - x^{2}} \cdot \frac{x^{2} - 9}{24 x - 4 x^{2}} \cdot \frac{x^{2} - 36}{x^{2} + 9 x + 18}$
229556	Solve the Inequality for x	2x+14-5x<-2x+8	$2 x + 14 - 5 x < - 2 x + 8$
229557	Evaluate	natural log of e square root of 6	$\ln (e \sqrt{6})$
229558	Find the Domain and Range	x=2^y	$x = 2^{y}$
229559	Solve by Graphing	y=-1/3x+2 y+4=-4/3x	$y = - \frac{1}{3} x + 2$ $y + 4 = - \frac{4}{3} x$
229560	Convert to Radical Form	(7^14)÷(7^2)	$7^{14} \div 7^{2}$
229561	Simplify the Radical Expression	( fifth root of a^4)/( cube root of a^2)	$\frac{\sqrt[5]{a^{4}}}{\sqrt[3]{a^{2}}}$
229562	Evaluate	(x^2+y)(x+y^2)	$(x^{2} + y) (x + y^{2})$
229563	Solve the Inequality for x	3(2-3x)>5(1-4x)	$3 (2 - 3 x) > 5 (1 - 4 x)$
229564	Solve for x	12x^2-26x-7=3x+1	$12 x^{2} - 26 x - 7 = 3 x + 1$
229565	Multiply	(4t+4)/(t-3)*(t^2-t-6)	$\frac{4 t + 4}{t - 3} \cdot (t^{2} - t - 6)$
229566	Graph	3x+2y>4 or x>2	$3 x + 2 y > 4$ or $x > 2$
229567	Graph	-x^2+y=8	$- x^{2} + y = 8$
229568	Solve for x	3 1/4x=1/2	$3 \frac{1}{4} x = \frac{1}{2}$
229569	Divide	x^3+7x^2+7x-15 , x+5	$x^{3} + 7 x^{2} + 7 x - 15$ , $x + 5$
229570	Find the Exact Value	-arccos(cos(pi))	$- \arccos (\cos (π))$
229571	Find All Complex Solutions	(sin(x))(cos(x))=0	$(\sin (x)) (\cos (x)) = 0$
229572	Find the Vertex Form	x^2-2x+25=y	$x^{2} - 2 x + 25 = y$
229573	Simplify	1 2/3-(-5 2/3)	$1 \frac{2}{3} - (- 5 \frac{2}{3})$
229574	Simplify	(4x^3-x^2+5x-4)+(5x-10)	$(4 x^{3} - x^{2} + 5 x - 4) + (5 x - 10)$
229575	Convert to Interval Notation	7m+6m>=8m-15	$7 m + 6 m \geq 8 m - 15$
229576	Simplify	((x-5)/(x^2))/((2x-10)/(3x^4))	$\frac{\frac{x - 5}{x^{2}}}{\frac{2 x - 10}{3 x^{4}}}$
229577	Solve for y	-y+28+y^2=2y+2y^2	$- y + 28 + y^{2} = 2 y + 2 y^{2}$
229578	Find the Exact Value	92+2+25^2	$9 \cdot 2 + 2 + 2 \cdot 5^{2}$
229579	Simplify	1/(2tan(x)(cos(x)^2))	$\frac{1}{2 \tan (x) (\cos^{2} (x))}$
229580	Convert to Radical Form	(10^3)1/3	$(10^{3}) \frac{1}{3}$
229581	Simplify	1/(-2 square root of 2)	$\frac{1}{- 2 \sqrt{2}}$
229582	Simplify	(2y^2+7y+3)/(y^3-1)-(1-2y)/(y^2+y+1)-3/(y-1)	$\frac{(2 y^{2} + 7 y + 3)}{y^{3} - 1} - \frac{(1 - 2 y)}{y^{2} + y + 1} - \frac{3}{y - 1}$
229583	Solve for x	arctan(3x^2)=pi/4	$\arctan (3 x^{2}) = \frac{π}{4}$
229584	Solve for x	s(x)=102	$s (x) = 102$
229585	Find the Domain and Range	y=9cot(2x-pi/2)-3	$y = 9 \cot (2 x - \frac{π}{2}) - 3$
229586	Write Using Negative Exponents	1/((xy)^1)	$\frac{1}{{(x y)}^{1}}$
229587	Solve for x	-(6x+6)+2=-6x-3	$- (6 x + 6) + 2 = - 6 x - 3$
229588	Convert to a Decimal	sin(480)deg	$\sin (480)$ degrees
229589	Evaluate the Function	f(x)=-x^3+2x^2-3 at x=-1	$f (x) = - x^{3} + 2 x^{2} - 3$ at $x = - 1$
229590	Evaluate	90% of 20	$90 %$ of $20$
229591	Find the LCD	(10x)/(x-3) and (4x)/(x-2)	$\frac{10 x}{x - 3}$ and $\frac{4 x}{x - 2}$
229592	Find the Degree	2ab^3-5b	$2 a b^{3} - 5 b$
229593	Factor	6x^3-9x-x^5	$6 x^{3} - 9 x - x^{5}$
229594	Solve the System of Equations	x^2+y^2=25 x^2=5-y	$x^{2} + y^{2} = 25$ $x^{2} = 5 - y$
229595	Simplify	x/(x^2-4)+1/x	$\frac{x}{x^{2} - 4} + \frac{1}{x}$
229596	Solve the Inequality for u	8u<=35	$8 u \leq 35$
229597	Solve for b	-196=-4-3b^2	$- 196 = - 4 - 3 b^{2}$
229598	Solve the System of Equations	1/2(2x+y)=21/2 y=2x	$\frac{1}{2} (2 x + y) = \frac{21}{2}$ $y = 2 x$
229599	Solve the System of Equations	2y-x=0 x=y+7	$2 y - x = 0$ $x = y + 7$
229600	Solve for x	(x^2-x-12)/(x+5)>=0	$\frac{x^{2} - x - 12}{x + 5} \geq 0$