Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
15601	Simplify	1/4x^2-3/8xy+1/2y^2-1/2xy+1/4y^2-3/8x^2	$\frac{1}{4} x^{2} - \frac{3}{8} x y + \frac{1}{2} y^{2} - \frac{1}{2} x y + \frac{1}{4} y^{2} - \frac{3}{8} x^{2}$
15602	Solve the System of Equations	A+B=1 A+C=0 A-B-C=0	$A + B = 1$ $A + C = 0$ $A - B - C = 0$
15603	Subtract	-5x^2+10x-1-6x^2-x+3	$- 5 x^{2} + 10 x - 1 - 6 x^{2} - x + 3$
15604	Solve the Function Operation	Given g(x)=3x+3 ; find g(6)	Given $g (x) = 3 x + 3$ ; find $g (6)$
15605	Graph Using a Table of Values	f(x)=0.5^x	$f (x) = {0.5}^{x}$
15606	Solve the Inequality for x	-2x^2+20x>=10x-100	$- 2 x^{2} + 20 x \geq 10 x - 100$
15607	Find the Center and Radius	9x^2+9y^2-25	$9 x^{2} + 9 y^{2} - 25$
15608	Simplify	-(48c^2d^4)/(-8cd)	$- \frac{48 c^{2} d^{4}}{- 8 c d}$
15609	Solve for x	2/3x-1/6=1/3	$\frac{2}{3} x - \frac{1}{6} = \frac{1}{3}$
15610	Find the Distance Between Two Points	(-4,1) and (3,-4)	$(- 4, 1)$ and $(3, - 4)$
15611	Factor	an^2+cn^2-ap+ap^2-cp+cp^2	$a n^{2} + c n^{2} - a p + a p^{2} - c p + c p^{2}$
15612	Find the Quotient	(x^4+8x^3-3x^2-24x)÷(x-3)	$(x^{4} + 8 x^{3} - 3 x^{2} - 24 x) \div (x - 3)$
15613	Write in Standard Form	(-3a^2+2a-5)-(-2a^2+a+6)	$(- 3 a^{2} + 2 a - 5) - (- 2 a^{2} + a + 6)$
15614	Simplify	(3x+2)(3x-2)(2x-3)	$(3 x + 2) (3 x - 2) (2 x - 3)$
15615	Evaluate	-cot(pi/3)	$- \cot (\frac{π}{3})$
15616	Solve the System of Equations	-7x+4y=-9 and 5x-3y=5	$- 7 x + 4 y = - 9$ and $5 x - 3 y = 5$
15617	Simplify	((k^2)/4-9)/(k/6-1)	$\frac{\frac{k^{2}}{4} - 9}{\frac{k}{6} - 1}$
15618	Evaluate	5% of 40	$5 %$ of $40$
15619	Solve the Function Operation	f(x)=-(x+1)^2-4 if x<1; x-7 if 1<=x<=6; 4 if x>6 Find f(7)	$f (x) = {\begin{cases} - {(x + 1)}^{2} - 4 & x < 1 \\ x - 7 & 1 \leq x \leq 6 \\ 4 & x > 6 \end{cases}$ Find $f (7)$
15620	Simplify the Radical Expression	( fifth root of 96a^7)/( fifth root of 3a^2)	$\frac{\sqrt[5]{96 a^{7}}}{\sqrt[5]{3 a^{2}}}$
15621	Simplify	-5-3w+9-6z+8w-4z	$- 5 - 3 w + 9 - 6 z + 8 w - 4 z$
15622	Convert from Radians to Degrees	(2pi)/3*180/pi	$\frac{2 π}{3} \cdot \frac{180}{π}$
15623	Solve for x	108x^3+37=5	$108 x^{3} + 37 = 5$
15624	Evaluate the Function	y=2(4)^x , x=-2	$y = 2 {(4)}^{x}$ , $x = - 2$
15625	Find the LCM	2 and 5	$2$ and $5$
15626	Multiply	(xy+5)(xy-1)	$(x y + 5) (x y - 1)$
15627	Evaluate the Integral	integral of (2x^3-4x+3x) with respect to x	$\int (2 x^{3} - 4 x + 3 x) d x$
15628	Solve the Inequality for r	\|r+1\|<=2	$\| r + 1 \| \leq 2$
15629	Solve the System of Equations	-2x+4y=-2 and -6x+8y=10	$- 2 x + 4 y = - 2$ and $- 6 x + 8 y = 10$
15630	Find dy/dx	-xy+3=y	$- x y + 3 = y$
15631	Simplify	(12a^11b^2)/((14a^9b^10)(2a^10b^9))	$\frac{12 a^{11} b^{2}}{(14 a^{9} b^{10}) (2 a^{10} b^{9})}$
15632	Simplify	1/( square root of 2)-1/( square root of 8)+ square root of 2	$\frac{1}{\sqrt{2}} - \frac{1}{\sqrt{8}} + \sqrt{2}$
15633	Solve the System of Equations	2x+3y-2z=-7 x-2y+4z=15 2y+z=1	$2 x + 3 y - 2 z = - 7$ $x - 2 y + 4 z = 15$ $2 y + z = 1$
15634	Solve for x	-5/3+(x+3)/x=7/(3x)	$\frac{- 5}{3} + \frac{x + 3}{x} = \frac{7}{3 x}$
15635	Find dy/dx	-3y-x=4y^3+2y^2+3x^3	$- 3 y - x = 4 y^{3} + 2 y^{2} + 3 x^{3}$
15636	Simplify	sum of 4x^3*2x^2-4x+3 and 7x^3-4x^2+7x+8	sum of $4 x^{3} \cdot 2 x^{2} - 4 x + 3$ and $7 x^{3} - 4 x^{2} + 7 x + 8$
15637	Simplify	cube root of 64x* fourth root of 256x^2	$\sqrt[3]{64 x} \cdot \sqrt[4]{256 x^{2}}$
15638	Write in Standard Form	(-x^2-3x+10)(x^2+x+1)	$(- x^{2} - 3 x + 10) (x^{2} + x + 1)$
15639	Find Amplitude, Period, and Phase Shift	y=sin(1/2x-pi)	$y = \sin (\frac{1}{2} x - π)$
15640	Simplify	(1/(512^(-1/3)))	$(\frac{1}{512^{- \frac{1}{3}}})$
15641	Simplify	y^(1/4)y^(1/4)y^(1/4)y^(1/4)	$y^{\frac{1}{4}} y^{\frac{1}{4}} y^{\frac{1}{4}} y^{\frac{1}{4}}$
15642	Simplify the Radical Expression	square root of 9/22	$\sqrt{\frac{9}{22}}$
15643	Simplify	2 square root of 2(2 square root of 7+ square root of 3)	$2 \sqrt{2} (2 \sqrt{7} + \sqrt{3})$
15644	Simplify	( square root of 27+ square root of 12)/( square root of 3)	$\frac{\sqrt{27} + \sqrt{12}}{\sqrt{3}}$
15645	Find the Equation Using Slope-Intercept Form	(3,7) ; slope 2/7	$(3, 7)$ ; slope $\frac{2}{7}$
15646	Simplify the Radical Expression	square root of 2* cube root of 6	$\sqrt{2} \cdot \sqrt[3]{6}$
15647	Evaluate	( cube root of 32x^3y^6)/( cube root of 2x^9y^2)	$\frac{\sqrt[3]{32 x^{3} y^{6}}}{\sqrt[3]{2 x^{9} y^{2}}}$
15648	Convert from Radians to Degrees	pi/8rad	$\frac{π}{8}$ rad
15649	Add	(11x^4+3x^2-x+9)+(6x^4+4x^2-x+1)	$(11 x^{4} + 3 x^{2} - x + 9) + (6 x^{4} + 4 x^{2} - x + 1)$
15650	Solve for x	2 square root of x-9>=-4	$2 \sqrt{x} - 9 \geq - 4$
15651	Find the Sum of the Infinite Geometric Series	1-2/3+4/9-8/27+...	$1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27} + \dots$
15652	Determine if Odd, Even, or Neither	x^4+x^2	$x^{4} + x^{2}$
15653	Graph	x^(-)1/2	$x^{-} \frac{1}{2}$
15654	Find the Antiderivative	f(x)=sin(3x+pi/6)	$f (x) = \sin (3 x + \frac{π}{6})$
15655	Write in Standard Form	2x-x^3+8x^2-10x^5+5	$2 x - x^{3} + 8 x^{2} - 10 x^{5} + 5$
15656	Solve the Inequality for d	-0.6>-0.3(d+6)	$- 0.6 > - 0.3 (d + 6)$
15657	Simplify	(5^-2(3)^-2)/(6^-1)	$\frac{5^{- 2} {(3)}^{- 2}}{6^{- 1}}$
15658	Find the Secant Given the Point	((2 square root of 30)/11,1/11)	$(\frac{2 \sqrt{30}}{11}, \frac{1}{11})$
15659	Simplify	3y-10-2x-6+6y+x	$3 y - 10 - 2 x - 6 + 6 y + x$
15660	Simplify the Radical Expression	square root of a( square root of a^3-7)	$\sqrt{a} (\sqrt{a^{3}} - 7)$
15661	Find the Asymptotes	y=(x^4+3)/(x^4+2x^2-3)	$y = \frac{x^{4} + 3}{x^{4} + 2 x^{2} - 3}$
15662	Solve the Function Operation	f(x)=5x+1 g(x)=x^2-3x+12 Find: (fog)(x)	$f (x) = 5 x + 1$ $g (x) = x^{2} - 3 x + 12$ Find: $((f \circ g)) (x)$
15663	Simplify	( square root of 400x)/( square root of 5x)	$\frac{\sqrt{400 x}}{\sqrt{5 x}}$
15664	Write in Standard Form	(-5x^2-9x+6)+(6x^2+10)	$(- 5 x^{2} - 9 x + 6) + (6 x^{2} + 10)$
15665	Write in Slope-Intercept Form	(6,2) and (-3,-7)	$(6, 2)$ and $(- 3, - 7)$
15666	Graph	y> square root of x+5+1	$y > \sqrt{x + 5} + 1$
15667	Find dy/dx	-x^3y-2y^2+4x=0	$- x^{3} y - 2 y^{2} + 4 x = 0$
15668	Find the Asymptotes	(x^2+x)/(-5x-5)	$\frac{x^{2} + x}{- 5 x - 5}$
15669	Find the Antiderivative	natural log of 2	$\ln (2)$
15670	Multiply	(6x-12)/(x^2-9x+18)*(7x-21)/(5x-10)	$\frac{6 x - 12}{x^{2} - 9 x + 18} \cdot \frac{7 x - 21}{5 x - 10}$
15671	Simplify	(4x)/(4x^2+9)*(6x-9)/(12x)	$\frac{4 x}{4 x^{2} + 9} \cdot \frac{6 x - 9}{12 x}$
15672	Find the Excluded Values	(5x^2+25x)/2*(4x)/(x+5)	$\frac{5 x^{2} + 25 x}{2} \cdot \frac{4 x}{x + 5}$
15673	Simplify	8p(p+6)-7p(3-8p)	$8 p (p + 6) - 7 p (3 - 8 p)$
15674	Solve the Inequality for p	39>13p	$39 > 13 p$
15675	Evaluate	3x+5y+x-2y	$3 x + 5 y + x - 2 y$
15676	Find the Roots (Zeros)	(x-7)(x^2-5x)	$(x - 7) (x^{2} - 5 x)$
15677	Solve the Function Operation	f(x)=(x-1)^2-4 if x<2; -x-2 if 2<=x<=7; 2x-11 if x>7 Find f(6)	$f (x) = {\begin{cases} {(x - 1)}^{2} - 4 & x < 2 \\ - x - 2 & 2 \leq x \leq 7 \\ 2 x - 11 & x > 7 \end{cases}$ Find $f (6)$
15678	Convert to a Decimal	1 Points	$1$ Points
15679	Solve for B	6=10B+12C	$6 = 10 B + 12 C$
15680	Solve the System of Equations	9x^2+4y^2=36 y=9/2x-3	$9 x^{2} + 4 y^{2} = 36$ $y = \frac{9}{2} x - 3$
15681	Evaluate	2(3-8y)	$2 (3 - 8 y)$
15682	Simplify	2y+7-5y+6y-3+y	$2 y + 7 - 5 y + 6 y - 3 + y$
15683	Multiply	(x^2+xy-y^2)(x+y)	$(x^{2} + x y - y^{2}) (x + y)$
15684	Simplify	(f^-3g^5h^8)^-3	${(f^{- 3} g^{5} h^{8})}^{- 3}$
15685	Solve for x	2(x-1)^(1/5)=(2x-17)^(1/5)	$2 {(x - 1)}^{\frac{1}{5}} = {(2 x - 17)}^{\frac{1}{5}}$
15686	Simplify	2/(1/a+1/b)	$\frac{2}{\frac{1}{a} + \frac{1}{b}}$
15687	Find the Domain	(x^2+9y^2)/(x-3y)+(6xy)/(3y-x)	$\frac{x^{2} + 9 y^{2}}{x - 3 y} + \frac{6 x y}{3 y - x}$
15688	Find the Cosecant Given the Point	(( square root of 5)/5,-(2 square root of 5)/5)	$(\frac{\sqrt{5}}{5}, - \frac{2 \sqrt{5}}{5})$
15689	Find Amplitude, Period, and Phase Shift	y=1-3cos(3(x-pi/3))	$y = 1 - 3 \cos (3 (x - \frac{π}{3}))$
15690	Simplify	(x^2-2x-8)/(x^2+3x+2)*(4x+4)/(x^2-x-12)	$\frac{x^{2} - 2 x - 8}{x^{2} + 3 x + 2} \cdot \frac{4 x + 4}{x^{2} - x - 12}$
15691	Solve for t	t=42-0.7t	$t = 42 - 0.7 t$
15692	Simplify the Radical Expression	(x^6)/(x^8)	$\frac{x^{6}}{x^{8}}$
15693	Solve the Inequality for d	-4<=(d+2)/3<2	$- 4 \leq \frac{d + 2}{3} < 2$
15694	Find the Domain	R(x)=(x^2-9)/(x^4-16)	$R (x) = \frac{x^{2} - 9}{x^{4} - 16}$
15695	Find the Roots (Zeros)	square root of 5x-5=5	$\sqrt{5 x - 5} = 5$
15696	Find the Domain	( square root of x+1-2)/(x-3)	$\frac{\sqrt{x + 1} - 2}{x - 3}$
15697	Evaluate the Limit	limit as x approaches 2 from the left of (2+\|x\|)/(2+x)	$lim_{x \to 2^{-}} \frac{2 + \| x \|}{2 + x}$
15698	Solve by Factoring	x^3-16x=x^2-16	$x^{3} - 16 x = x^{2} - 16$
15699	Simplify	(mm^-4)/(p^0q^-2)	$\frac{{mm}^{- 4}}{p^{0} q^{- 2}}$
15700	Solve for d	5d(d+1)+6=0	$5 d (d + 1) + 6 = 0$