Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211901	Simplify	(3e-7b)(8e+9b)	$(3 e - 7 b) (8 e + 9 b)$
211902	Write in Standard Form	(3x^2+2x)+(-x+9)	$(3 x^{2} + 2 x) + (- x + 9)$
211903	Simplify	(a^-7b^2)/(c^3d^-4)	$\frac{a^{- 7} b^{2}}{c^{3} d^{- 4}}$
211904	Evaluate	1/128=2^(5x+3)	$\frac{1}{128} = 2^{5 x + 3}$
211905	Simplify	square root of 2^6* fourth root of 4	$\sqrt{2^{6}} \cdot \sqrt[4]{4}$
211906	Find the End Behavior	f(x)=3	$f (x) = 3$
211907	Factor	Factor: x^2-25	Factor: $x^{2} - 25$
211908	Simplify	cube root of 27(x-y)^3	$\sqrt[3]{27 {(x - y)}^{3}}$
211909	Find the Equation Using Two Points	f(4)=-3 and f(0)=-2	$f (4) = - 3$ and $f (0) = - 2$
211910	Solve the System of Equations	y=-(x-2)^2+4 y=-5	$y = - {(x - 2)}^{2} + 4$ $y = - 5$
211911	Combine Like Terms	16a+8+12c-7a+3b-c	$16 a + 8 + 12 c - 7 a + 3 b - c$
211912	Solve for x	(x^2+4x+5)^(3/2)+1=0	${(x^{2} + 4 x + 5)}^{\frac{3}{2}} + 1 = 0$
211913	Find the LCD	(x+2)/x , (x-2)/(x^2)	$\frac{x + 2}{x}$ , $\frac{x - 2}{x^{2}}$
211914	Simplify	(x^2+13x-20)/(x^2-25)+(x-1)/(x+5)	$\frac{x^{2} + 13 x - 20}{x^{2} - 25} + \frac{x - 1}{x + 5}$
211915	Convert to a Decimal	-10pirad	$- 10 π$ radians
211916	Evaluate	(3y^2+y^3-5)+(4y^2-4y+2y^3+8)	$(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8)$
211917	Rationalize the Denominator	5/(-6+ square root of 6)	$\frac{5}{- 6 + \sqrt{6}}$
211918	Solve for x	square root of 2x-1-x+2=0	$\sqrt{2 x - 1 - x + 2} = 0$
211919	Subtract	[[0,0],[0,0]]-[[x,y],[z,w]]	$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] - [\begin{array}{c} x & y \\ z & w \end{array}]$
211920	Simplify	(8-5i)*2	$(8 - 5 i) \cdot 2$
211921	Find the x and y Intercepts	(-2x^2+32)/(3x-12)	$\frac{- 2 x^{2} + 32}{3 x - 12}$
211922	Factor	f(x)=x^4-2x^3+x^2	$f (x) = x^{4} - 2 x^{3} + x^{2}$
211923	Solve for x	15=9+ square root of x	$15 = 9 + \sqrt{x}$
211924	Find the Roots (Zeros)	1-(x-3)/2=(2-x)/3+4	$1 - \frac{x - 3}{2} = \frac{2 - x}{3} + 4$
211925	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^5-9x^2-10x^3-4x^4-10	$f (x) = - x^{5} - 9 x^{2} - 10 x^{3} - 4 x^{4} - 10$
211926	Solve for x	square root of x+2=2x-6	$\sqrt{x + 2} = 2 x - 6$
211927	Multiply	(4/9y^2-1/4)^2	${(\frac{4}{9} y^{2} - \frac{1}{4})}^{2}$
211928	Solve for x	-7(x-2)+1<x	$- 7 (x - 2) + 1 < x$
211929	Simplify the Radical Expression	fourth root of 81x	$\sqrt[4]{81 x}$
211930	Simplify	((6x)^2)/((4x^2)^3)	$\frac{{(6 x)}^{2}}{{(4 x^{2})}^{3}}$
211931	Solve for C	C=1-5/2D	$C = 1 - \frac{5}{2} D$
211932	Evaluate the Function	f(x)=4x^2+2x-1 at x=0	$f (x) = 4 x^{2} + 2 x - 1$ at $x = 0$
211933	Solve by Factoring	x^2+x+53=4-13x	$x^{2} + x + 53 = 4 - 13 x$
211934	Find the Exact Value	4(-2)^2+8(-2)+3(-2)+6	$4 {(- 2)}^{2} + 8 (- 2) + 3 (- 2) + 6$
211935	Simplify	((6-x)/(64-x^2)*(x^3+12x^2+32x)/(6x^3-12x^2-144x))÷((x^2-15x+54)/(x^2-15x+54))	$\frac{6 - x}{64 - x^{2}} \cdot \frac{x^{3} + 12 x^{2} + 32 x}{6 x^{3} - 12 x^{2} - 144 x} \div \frac{x^{2} - 15 x + 54}{x^{2} - 15 x + 54}$
211936	Solve for x	(6^(1/4))/(36^(-x/2))=1	$\frac{6^{\frac{1}{4}}}{36^{- \frac{x}{2}}} = 1$
211937	Graph	y=1/2(x+2)-4	$y = \frac{1}{2} (x + 2) - 4$
211938	Simplify	(5^-8)^-6	${(5^{- 8})}^{- 6}$
211939	Graph	The graph of y=f(x) is shown below. What are all of the real solutions of f(x)=0 ?	The graph of $y = f (x)$ is shown below. What are all of the real solutions of $f (x) = 0$ ?
211940	Solve for x	8(x-2)-5(x+4)=20+x	$8 (x - 2) - 5 (x + 4) = 20 + x$
211941	Find the Quotient	(-6x^2y^8+12xy^3-36xy^2)/(6xy^2)	$\frac{- 6 x^{2} y^{8} + 12 x y^{3} - 36 x y^{2}}{6 x y^{2}}$
211942	Simplify	- square root of -16/25	$- \sqrt{- \frac{16}{25}}$
211943	Write in Standard Form	(-6x^2-x)-(-4x^2+10x-1)	$(- 6 x^{2} - x) - (- 4 x^{2} + 10 x - 1)$
211944	Find the Product	x(x^2-x+3)	$x (x^{2} - x + 3)$
211945	Multiply	(x+2)/(x^2+14x+49)*(x^2+6x-7)/(x^2+x-2)	$\frac{x + 2}{x^{2} + 14 x + 49} \cdot \frac{x^{2} + 6 x - 7}{x^{2} + x - 2}$
211946	Solve for t	24<=-6t	$24 \leq - 6 t$
211947	Simplify the Radical Expression	( fourth root of 32)/( cube root of 2)	$\frac{\sqrt[4]{32}}{\sqrt[3]{2}}$
211948	Graph	3x+2y<=12 3x+2y>=6	$3 x + 2 y \leq 12$ $3 x + 2 y \geq 6$
211949	Factor	7(3x+2)^2(x-1)^2+(3x+2)(x-1)^3	$7 {(3 x + 2)}^{2} {(x - 1)}^{2} + (3 x + 2) {(x - 1)}^{3}$
211950	Solve the Inequality for x	4>=x+3/4	$4 \geq x + \frac{3}{4}$
211951	Evaluate	square root of x+2+6=5	$\sqrt{x + 2} + 6 = 5$
211952	Evaluate	((2.0010^4)(1.9010^-3))/((1.044)(500))	$\frac{(2 \times 10^{4}) (1.9 \times 10^{- 3})}{(1.044) (500)}$
211953	Plot	y>1/2x-1 y<=-2x+6	$y > \frac{1}{2} x - 1$ $y \leq - 2 x + 6$
211954	Solve for x	square root of 8x+1 = square root of 2x+5	$\sqrt{8 x} + 1 = \sqrt{2 x + 5}$
211955	Graph	y=6 log of x+3	$y = 6 \log (x) + 3$
211956	Solve for r	15=4/3pir^3	$15 = \frac{4}{3} π r^{3}$
211957	Find the Domain and Range	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
211958	Graph	-5x+4<=2y	$- 5 x + 4 \leq 2 y$
211959	Simplify	3/(ax-ay)+2/(by-bx)	$\frac{3}{a x - a y} + \frac{2}{b y - b x}$
211960	Simplify	(5-2x)/(4x+12x^2)-(5-6x)/(4x+12x^2)	$\frac{5 - 2 x}{4 x + 12 x^{2}} - \frac{5 - 6 x}{4 x + 12 x^{2}}$
211961	Find the Degree, Leading Term, and Leading Coefficient	4-1/10x^3	$4 - \frac{1}{10} x^{3}$
211962	Solve the System of Equations	2x+y=-10 -y=2x+10	$2 x + y = - 10$ $- y = 2 x + 10$
211963	Simplify	(3 square root of 7)/( square root of 5-1)	$\frac{3 \sqrt{7}}{\sqrt{5} - 1}$
211964	Divide Using Long Polynomial Division	(2x^4+3x^2+x-1)÷(x-2)	$(2 x^{4} + 3 x^{2} + x - 1) \div (x - 2)$
211965	Graph	y=5x-15 2y=x+7	$y = 5 x - 15$ $2 y = x + 7$
211966	Divide	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
211967	Determine if a Polynomial	-r^2 square root of 7	$- r^{2} \sqrt{7}$
211968	Solve for v	4 = square root of v/2	$4 = \sqrt{\frac{v}{2}}$
211969	Simplify	square root of x^4y^12	$\sqrt{x^{4}} y^{12}$
211970	Simplify	((r^2-2r)/(4r)-2/r)/(1-4/r)	$\frac{\frac{r^{2} - 2 r}{4 r} - \frac{2}{r}}{1 - \frac{4}{r}}$
211971	Evaluate the Function	f(x)=6^x for x=2	$f (x) = 6^{x}$ for $x = 2$
211972	Simplify	(-1/27)^(-1/3)	${(- \frac{1}{27})}^{\frac{- 1}{3}}$
211973	Solve the Rational Equation for x	cube root of x = cube root of 2x-7	$\sqrt[3]{x} = \sqrt[3]{2 x - 7}$
211974	Solve the Inequality for x	sin(x)>1/2	$\sin (x) > \frac{1}{2}$
211975	Simplify	(-3^-2y)^2	${(- 3^{- 2} y)}^{2}$
211976	Solve for y	-4+6y-8=-5(2y-20)+8y	$- 4 + 6 y - 8 = - 5 (2 y - 20) + 8 y$
211977	Simplify	(6x^0)/(2y^-1)	$\frac{6 x^{0}}{2 y^{- 1}}$
211978	Solve by Substitution	6y=-5x+24 2.5x+3y=12	$6 y = - 5 x + 24$ $2.5 x + 3 y = 12$
211979	Simplify	12p+3q-5-5q-8p	$12 p + 3 q - 5 - 5 q - 8 p$
211980	Solve for y	(7y-3)/(y-y^2)=1/(y-1)-5/(y(y-1))	$\frac{7 y - 3}{y - y^{2}} = \frac{1}{y - 1} - \frac{5}{y (y - 1)}$
211981	Divide	( square root of 15xy)/(3 square root of 10xy^3)	$\frac{\sqrt{15 x y}}{3 \sqrt{10 x y^{3}}}$
211982	Simplify	((w+4)/4+1/2)/(3/w+1/2)	$\frac{\frac{w + 4}{4} + \frac{1}{2}}{\frac{3}{w} + \frac{1}{2}}$
211983	Simplify	3/8x+1/8+1/4x+1/4	$\frac{3}{8} x + \frac{1}{8} + \frac{1}{4} x + \frac{1}{4}$
211984	Multiply	(x^2+3y)(x^2-3y)	$(x^{2} + 3 y) (x^{2} - 3 y)$
211985	Find the LCM	5 and 3	$5$ and $3$
211986	Find the Domain and Range	2x=y^2	$2 x = y^{2}$
211987	Find g(h(x))	g(x)=x^2-8 and h(x)=x^2+8	$g (x) = x^{2} - 8$ and $h (x) = x^{2} + 8$
211988	Simplify	((5x)/y)^2((y^3)/(10x^2))	${(\frac{5 x}{y})}^{2} (\frac{y^{3}}{10 x^{2}})$
211989	Simplify	(2x^2y*0.4x^4y^3)/(6x^6y^6)	$\frac{2 x^{2} y \cdot 0.4 x^{4} y^{3}}{6 x^{6} y^{6}}$
211990	Find h(g(x))	g(x)=(x+8)/5 and h(x)=5(x-8)	$g (x) = \frac{x + 8}{5}$ and $h (x) = 5 (x - 8)$
211991	Solve for x	(2x^2+5x+2)^(1/2)=3	${(2 x^{2} + 5 x + 2)}^{\frac{1}{2}} = 3$
211992	Simplify	(-36^04)^-2	${(- 3 \cdot 6^{0} \cdot 4)}^{- 2}$
211993	Solve the Inequality for r	r/6<-6	$\frac{r}{6} < - 6$
211994	Determine if True	sin(x)^4-cos(x)^4=sin(x)^2-cos(x)^2	$\sin^{4} (x) - \cos^{4} (x) = \sin^{2} (x) - \cos^{2} (x)$
211995	Simplify	2p3q5r	$2 p \cdot 3 q \cdot 5 r$
211996	Solve for y	1/4y-x=0	$\frac{1}{4} y - x = 0$
211997	Simplify	(xy+3x+2)+(3x^2+y)	$(x y + 3 x + 2) + (3 x^{2} + y)$
211998	Find the LCM	8 , 3 , 2	$8$ , $3$ , $2$
211999	Find the End Behavior	y=-x^3+6x^2+7x	$y = - x^{3} + 6 x^{2} + 7 x$
212000	Graph	y<3x-5 and y>=3x+1	$y < 3 x - 5$ and $y \geq 3 x + 1$