Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218901	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+12x^2+23x+6 is divided by x+2	Use the long division method to find the result when $x^{3} + 12 x^{2} + 23 x + 6$ is divided by $x + 2$
218902	Write in Standard Form	5b=-9+2a	$5 b = - 9 + 2 a$
218903	Solve for x	(x-10)/4>(x-5)/6+7/12	$\frac{x - 10}{4} > \frac{x - 5}{6} + \frac{7}{12}$
218904	Simplify	(4x^2-1)/(x^2)	$\frac{4 x^{2} - 1}{x^{2}}$
218905	Solve the Inequality for m	-3m>=9	$- 3 m \geq 9$
218906	Simplify the Radical Expression	5 fifth root of 2x^3y^4*3 fifth root of 16x^2y	$5 \sqrt[5]{2 x^{3} y^{4}} \cdot 3 \sqrt[5]{16 x^{2} y}$
218907	Simplify	(4x-1)(x-1)(3x+2)(x+1)	$(4 x - 1) (x - 1) (3 x + 2) (x + 1)$
218908	Simplify	((n^2-15n+56)/(10n-30n^2))÷((8-n)/(21n-7))	$\frac{n^{2} - 15 n + 56}{10 n - 30 n^{2}} \div \frac{8 - n}{21 n - 7}$
218909	Solve the Rational Equation for x	-7/(x+7)+6=x/(x+7)	$- \frac{7}{x + 7} + 6 = \frac{x}{x + 7}$
218910	Solve the System of Inequalities	y>=-3/2x-7 y>=x+8	$y \geq - \frac{3}{2} x - 7$ $y \geq x + 8$
218911	Solve the Inequality for x	3x^2+9x-61>-3x+2	$3 x^{2} + 9 x - 61 > - 3 x + 2$
218912	Determine if Dependent, Independent, or Inconsistent	y=-2x+3 4x+y=9	$y = - 2 x + 3$ $4 x + y = 9$
218913	Solve the Inequality for x	3x^2+10x-99>-2x-3	$3 x^{2} + 10 x - 99 > - 2 x - 3$
218914	Simplify	( square root of 3)/(1-4 square root of 2)	$\frac{\sqrt{3}}{1 - 4 \sqrt{2}}$
218915	Divide Using Long Polynomial Division	2x^3+9x^2+10x+3 divided by 2x+1	$2 x^{3} + 9 x^{2} + 10 x + 3$ divided by $2 x + 1$
218916	Graph	y<=5x-1 and y>=-3x+4	$y \leq 5 x - 1$ and $y \geq - 3 x + 4$
218917	Convert to a Decimal	-15pirad	$- 15 π$ radians
218918	Multiply	pi*1/2	$π \cdot \frac{1}{2}$
218919	Simplify	(a+3)^2-a(a+3)	${(a + 3)}^{2} - a (a + 3)$
218920	Solve for x	(3x-7)/(5x)+1=-3/x	$\frac{3 x - 7}{5 x} + 1 = \frac{- 3}{x}$
218921	Solve for m	2.2m<11	$2.2 m < 11$
218922	Evaluate	5(10-(3+4)+1)-14	$5 (10 - (3 + 4) + 1) - 14$
218923	Solve for x	1/2(3x+4)=5x	$\frac{1}{2} (3 x + 4) = 5 x$
218924	Simplify	((490)(486)(250))/((625)(84)(108))	$\frac{(490) (486) (250)}{(625) (84) (108)}$
218925	Evaluate	((3^-1)/(3^6))^-5	${(\frac{3^{- 1}}{3^{6}})}^{- 5}$
218926	Solve the System of Inequalities	4x-3>9 or -8x>=16	$4 x - 3 > 9$ or $- 8 x \geq 16$
218927	Solve by Substitution	2x+y=5 y+3=2x	$2 x + y = 5$ $y + 3 = 2 x$
218928	Solve by Factoring	10x^2+50=210	$10 x^{2} + 50 = 210$
218929	Find the Exact Value	cot((3pi)/2)-sin((3pi)/2)	$\cot (\frac{3 π}{2}) - \sin (\frac{3 π}{2})$
218930	Describe the Transformation	y = cube root of 1/3x	$y = \sqrt[3]{\frac{1}{3} x}$
218931	Simplify	((d^2-e^2)/(de))/((d-e)/e)	$\frac{\frac{d^{2} - e^{2}}{d e}}{\frac{d - e}{e}}$
218932	Solve for x	1/x+2/(x+1)-3/(x-3)=0	$\frac{1}{x} + \frac{2}{x + 1} - \frac{3}{x - 3} = 0$
218933	Evaluate	(6.410^7)/(1.610^5)	$\frac{(6.4 \times 10^{7})}{(1.6 \times 10^{5})}$
218934	Divide	((3x+12)/(12x))÷((x+4)/(48x^3))	$\frac{3 x + 12}{12 x} \div \frac{x + 4}{48 x^{3}}$
218935	Write in Slope-Intercept Form	y+4=-4/3x	$y + 4 = - \frac{4}{3} x$
218936	Multiply	1/33/55/77/99/11	$\frac{1}{3} \cdot \frac{3}{5} \cdot \frac{5}{7} \cdot \frac{7}{9} \cdot \frac{9}{11}$
218937	Simplify	square root of 5x* square root of 15	$\sqrt{5 x} \cdot \sqrt{15}$
218938	Solve the Inequality for x	1/4-x<2x+1	$\frac{1}{4} - x < 2 x + 1$
218939	Solve by Factoring	x^2*4x+4=0	$x^{2} \cdot 4 x + 4 = 0$
218940	Solve for x	8(2x+3x+2)=-4x+148	$8 (2 x + 3 x + 2) = - 4 x + 148$
218941	Solve for x	17889.993=12000(1+0.04/12)^(12x)	$17889.99 \cdot 3 = 12000 {(1 + \frac{0.04}{12})}^{12 \cdot x}$
218942	Graph	table[[x,y],[1,1],[2,4],[3,9]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \end{array}$
218943	Simplify	(m^2m^-4)^2*m^12	${(m^{2} m^{- 4})}^{2} \cdot m^{12}$
218944	Simplify	( square root of 5)/( square root of 40)	$\frac{\sqrt{5}}{\sqrt{40}}$
218945	Evaluate the Function	f(-4)=x^3+x^2-3x+9	$f (- 4) = x^{3} + x^{2} - 3 x + 9$
218946	Simplify	1/(1- cube root of 2)	$\frac{1}{1 - \sqrt[3]{2}}$
218947	Simplify	square root of 4(9+16)	$\sqrt{4 (9 + 16)}$
218948	Simplify	2*10^4-7^3	$2 \cdot 10^{4} - 7^{3}$
218949	Find the x and y Intercepts	f(x)=x(x^2-6)	$f (x) = x (x^{2} - 6)$
218950	Solve for x	x+7-4(x+1)=-10	$x + 7 - 4 (x + 1) = - 10$
218951	Subtract	7/(x^2+2x-35)-(5x)/(x+7)	$\frac{7}{x^{2} + 2 x - 35} - \frac{5 x}{x + 7}$
218952	Find the LCD	6/(5x) and 1/(2x+9)	$\frac{6}{5 x}$ and $\frac{1}{2 x + 9}$
218953	Evaluate	5cos(1/2)^2+ natural log of 1+1-3	$5 \cos^{2} (\frac{1}{2}) + \ln (1 + 1) - 3$
218954	Combine Like Terms	7y^3-3y+5y^3-2y+7	$7 y^{3} - 3 y + 5 y^{3} - 2 y + 7$
218955	Evaluate	(x-4)(2x+3)	$(x - 4) (2 x + 3)$
218956	Solve for x	log base square root of 3 of x-8=0	$\log_{\sqrt{3}} (x) - 8 = 0$
218957	Simplify	2^-3*4^-9	$2^{- 3} \cdot 4^{- 9}$
218958	Simplify	(16/(m-3)-4/(m-4))/(16/(m^2)-(m-4)/(m-3))	$\frac{\frac{16}{m - 3} - \frac{4}{m - 4}}{\frac{16}{m^{2}} - \frac{m - 4}{m - 3}}$
218959	Solve the Inequality for x	2(x-3)-5x<x-2	$2 (x - 3) - 5 x < x - 2$
218960	Solve for x	fifth root of x^4-3 fifth root of x^2=4	$\sqrt[5]{x^{4}} - 3 \sqrt[5]{x^{2}} = 4$
218961	Evaluate	-3*180/pi	$- 3 \cdot \frac{180}{π}$
218962	Evaluate	x/(x^2+3x+2)-1/((x+2)(x+1))	$\frac{x}{x^{2} + 3 x + 2} - \frac{1}{(x + 2) (x + 1)}$
218963	Simplify	(y^(1/2))((15xy)/(3x^2))^2+z^3( square root of (4^0)/(z^6))	$(y^{\frac{1}{2}}) {(\frac{15 x y}{3 x^{2}})}^{2} + z^{3} (\sqrt{\frac{4^{0}}{z^{6}}})$
218964	Find the Degree, Leading Term, and Leading Coefficient	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
218965	Solve for n	-5n=2(-2n-20)+n	$- 5 n = 2 (- 2 n - 20) + n$
218966	Rationalize the Denominator	8/(-3- square root of 14)	$\frac{8}{- 3 - \sqrt{14}}$
218967	Simplify	( square root of 4x^3y^3)/(2x^-1y^3)	$\frac{\sqrt{4 x^{3} y^{3}}}{2 x^{- 1} y^{3}}$
218968	Simplify	((g^2)/(5f^2))/(g/(f^3))	$\frac{\frac{g^{2}}{5 f^{2}}}{\frac{g}{f^{3}}}$
218969	Simplify	plus or minus square root of 0.25x^8	$\pm \sqrt{0.25 x^{8}}$
218970	Solve the Inequality for x	x/2-2<=4x+10	$\frac{x}{2} - 2 \leq 4 x + 10$
218971	Find the GCF	24x^3y-18x^2+12xy^2	$24 x^{3} y - 18 x^{2} + 12 x y^{2}$
218972	Solve the Inequality for x	-3x^2+9x+91>=-9x+10	$- 3 x^{2} + 9 x + 91 \geq - 9 x + 10$
218973	Solve Using the Square Root Property	2(x^2-6)+8=10	$2 (x^{2} - 6) + 8 = 10$
218974	Simplify	5/3-3/(4x^3)	$\frac{5}{3} - \frac{3}{4 x^{3}}$
218975	Solve for t	t = square root of d/16	$t = \sqrt{\frac{d}{16}}$
218976	Solve the Inequality for x	-2x^2+2x+89<=5	$- 2 x^{2} + 2 x + 89 \leq 5$
218977	Find the Exact Value	2/3xy^2+2x-1/3xy^2+2/3x^2y-5x	$\frac{2}{3} x y^{2} + 2 x - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y - 5 x$
218978	Solve for c	5c^2-26c=24	$5 c^{2} - 26 c = 24$
218979	Solve the System of Inequalities	8x-3y<4 9x+2y<-1	$8 x - 3 y < 4$ $9 x + 2 y < - 1$
218980	Simplify	(5/(3x^3))÷(7/(9x^3))	$\frac{5}{3 x^{3}} \div \frac{7}{9 x^{3}}$
218981	Write Using Positive Exponents	(2x^4y^-4z^-3)/(3x^2y^-3z^4)	$\frac{2 x^{4} y^{- 4} z^{- 3}}{3 x^{2} y^{- 3} z^{4}}$
218982	Evaluate	1/2*2/(- square root of 3)	$\frac{1}{2} \cdot \frac{2}{- \sqrt{3}}$
218983	Solve the Absolute Value Inequality for x	\|(x-1)/2\|=7	$\| \frac{x - 1}{2} \| = 7$
218984	Simplify	cube root of -27/216	$\sqrt[3]{- \frac{27}{216}}$
218985	Divide Using Long Polynomial Division	(x^4-5x^3+4x-17)÷(x-5)	$(x^{4} - 5 x^{3} + 4 x - 17) \div (x - 5)$
218986	Solve the Inequality for x	-3x^2+57<=3x-3	$- 3 x^{2} + 57 \leq 3 x - 3$
218987	Factor	5x^2y+20x^3-5x^4y	$5 x^{2} y + 20 x^{3} - 5 x^{4} y$
218988	Factor	x^4-9x^2+4x+12	$x^{4} - 9 x^{2} + 4 x + 12$
218989	Solve for g	-31/3=-1/2g	$- \frac{31}{3} = - \frac{1}{2} g$
218990	Find the Exact Value	(( square root of 2)/2)/(-( square root of 2)/2)	$\frac{\frac{\sqrt{2}}{2}}{- \frac{\sqrt{2}}{2}}$
218991	Simplify	(x^2+17x+70)-(x+7)	$(x^{2} + 17 x + 70) - (x + 7)$
218992	Describe the Transformation	y=3 square root of x-3+2	$y = 3 \sqrt{x - 3} + 2$
218993	Simplify	(5n9)2n	$(5 n \cdot 9) \cdot 2 n$
218994	Evaluate	(1-cos(x)^2)(1+cot(x)^2)=0	$(1 - \cos^{2} (x)) (1 + \cot^{2} (x)) = 0$
218995	Simplify	square root of 300a^3b^3- square root of 48ab	$\sqrt{300 a^{3} b^{3}} - \sqrt{48 a b}$
218996	Simplify	- square root of 1^4	$- \sqrt{1^{4}}$
218997	Write as a Single Logarithm	log base 2 of 15+ log base 2 of 4- log base 2 of 6	$\log_{2} (15) + \log_{2} (4) - \log_{2} (6)$
218998	Solve for x	9x+9-3x-3=3x+3+3x+3	$9 x + 9 - 3 x - 3 = 3 x + 3 + 3 x + 3$
218999	Solve for x	11-(3x+1)=7(x-6)+2	$11 - (3 x + 1) = 7 (x - 6) + 2$
219000	Simplify	((x^(1/2)y)^(2/3))^3	${({(x^{\frac{1}{2}} y)}^{\frac{2}{3}})}^{3}$