Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
48101	Find the Holes in the Graph	(3x^2-108)/(x^2+2x-24)	$\frac{3 x^{2} - 108}{x^{2} + 2 x - 24}$
48102	Evaluate	( square root of 1)^2	${(\sqrt{1})}^{2}$
48103	Subtract	3x^2+8x--9x^2+3x-8	$3 x^{2} + 8 x - - 9 x^{2} + 3 x - 8$
48104	Simplify	square root of square root of 25x^2	$\sqrt{\sqrt{25 x^{2}}}$
48105	Expand the Trigonometric Expression	sin(a+b)+sin(a-b)	$\sin (a + b) + \sin (a - b)$
48106	Evaluate	g(1+h)=x^3	$g (1 + h) = x^{3}$
48107	Multiply	x*(x+2)	$x \cdot (x + 2)$
48108	Solve the Rational Equation for x	((x+4)(x-2))/(9(x-2))=(x+4)/9	$\frac{(x + 4) (x - 2)}{9 (x - 2)} = \frac{x + 4}{9}$
48109	Simplify	20x^6 cube root of -1/1000x^36	$20 x^{6} \sqrt[3]{\frac{- 1}{1000}} x^{36}$
48110	Simplify	-2(3a+2b-1)+3(a+4b-2)	$- 2 (3 a + 2 b - 1) + 3 (a + 4 b - 2)$
48111	Simplify	(4n-8n^4-3)-(5n+2n^2-6)	$(4 n - 8 n^{4} - 3) - (5 n + 2 n^{2} - 6)$
48112	Evaluate	2(2/3)+1	$2 (\frac{2}{3}) + 1$
48113	Evaluate the Function	f(x)=4^x for x=3	$f (x) = 4^{x}$ for $x = 3$
48114	Solve for s	A=6(s+2)^2	$A = 6 {(s + 2)}^{2}$
48115	Solve for c	3^(c+6)=4^(2-c)	$3^{c + 6} = 4^{2 - c}$
48116	Simplify	(2x-3)^2+5	${(2 x - 3)}^{2} + 5$
48117	Find the Derivative - d/dx	y=1/( square root of 1-x^2)	$y = \frac{1}{\sqrt{1 - x^{2}}}$
48118	Find the Derivative - d/dx	-1/( square root of 1-x^2)	$- \frac{1}{\sqrt{1 - x^{2}}}$
48119	Find the Exact Value	1/(2/(( square root of 3)/2))	$\frac{1}{\frac{2}{\frac{\sqrt{3}}{2}}}$
48120	Simplify	14/(9x^3)*(2y^2)/(7x)	$\frac{14}{9 x^{3}} \cdot \frac{2 y^{2}}{7 x}$
48121	Expand Using Sum/Difference Formulas	2(x-1)	$2 (x - 1)$
48122	Solve for x	x-3+1=3x-10	$x - 3 + 1 = 3 x - 10$
48123	Solve the Rational Equation for x	square root of 2x=x-4	$\sqrt{2 x} = x - 4$
48124	Evaluate the Integral	integral from pi/6 to pi/2 of cos(x) with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{2}} \cos (x) d x$
48125	Evaluate the Integral	integral from 1 to 2 of 2x(1+x^2) with respect to x	$\int_{1}^{2} 2 x (1 + x^{2}) d x$
48126	Graph	y=cos(theta/4+pi/4)-2	$y = \cos (\frac{θ}{4} + \frac{π}{4}) - 2$
48127	Solve for x	3(3x-1)^(1/3)-6=0	$3 {(3 x - 1)}^{\frac{1}{3}} - 6 = 0$
48128	Solve for x	5x = natural log of 8	$5 x = \ln (8)$
48129	Solve for m	a^3+27=(a+3)(a^2+ma+9)	$a^{3} + 27 = (a + 3) (a^{2} + m a + 9)$
48130	Evaluate	9q^2-2/3(3q-7)+5q^2	$9 q^{2} - \frac{2}{3} (3 q - 7) + 5 q^{2}$
48131	Find the Derivative - d/dx	(x^3-2x^2+x-1)/(x-2)	$\frac{x^{3} - 2 x^{2} + x - 1}{x - 2}$
48132	Simplify	((8x^2)/(x+4))÷(x/(2(x-4)))	$\frac{8 x^{2}}{x + 4} \div \frac{x}{2 (x - 4)}$
48133	Add	(2x+1)/(x-5)+2/x	$\frac{2 x + 1}{x - 5} + \frac{2}{x}$
48134	Combine Like Terms	3x^2-x+2-5x^2+8x-5	$3 x^{2} - x + 2 - 5 x^{2} + 8 x - 5$
48135	Evaluate	(pi*3^2)/2	$\frac{π \cdot 3^{2}}{2}$
48136	Find the Holes in the Graph	(3x^2-28x-20)/(2x+16)	$\frac{3 x^{2} - 28 x - 20}{2 x + 16}$
48137	Simplify	(-13x+5x^4-3x^2)+(-6x^2-4x-3x^4)	$(- 13 x + 5 x^{4} - 3 x^{2}) + (- 6 x^{2} - 4 x - 3 x^{4})$
48138	Find the Quadratic Equation Given the Roots	0 , 5 , -5+ square root of 8	$0$ , $5$ , $- 5 + \sqrt{8}$
48139	Convert from Degrees to Radians	165*pi/180	$165 \cdot \frac{π}{180}$
48140	Solve for x	(20-x)/x=6/4	$\frac{20 - x}{x} = \frac{6}{4}$
48141	Simplify	((4^2)/(3^-3))^-1	${(\frac{4^{2}}{3^{- 3}})}^{- 1}$
48142	Simplify	(r^-3s^5t^2)/(r^2st^-2)	$\frac{r^{- 3} s^{5} t^{2}}{r^{2} s t^{- 2}}$
48143	Add	1/2+3+1 1/2+2	$\frac{1}{2} + 3 + 1 \frac{1}{2} + 2$
48144	Simplify	-5 cube root of -64+ cube root of -1- square root of -25	$- 5 \sqrt[3]{- 64} + \sqrt[3]{- 1} - \sqrt{- 25}$
48145	Solve for x	2x+sin(x)=-2	$2 x + \sin (x) = - 2$
48146	Simplify	square root of (225x^3)/(49x)	$\sqrt{\frac{225 x^{3}}{49 x}}$
48147	Find the Trig Values Using Angle A	tri{4}{}{5}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = & 5 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48148	Find the Slope	What is the slope of the line through (-10,1) and (0,-4) ?	What is the slope of the line through $(- 10, 1)$ and $(0, - 4)$ ?
48149	Solve for x in Radians	tan(x)^5-9tan(x)=0	$\tan^{5} (x) - 9 \tan (x) = 0$
48150	Solve for x	0=1/(3x^(2/3))	$0 = \frac{1}{3 x^{\frac{2}{3}}}$
48151	Add	(-x^2+2x)-(x^2-2x)	$(- x^{2} + 2 x) - (x^{2} - 2 x)$
48152	Solve the System of Equations	3x+y-10=0 4x-y-4=0	$3 x + y - 10 = 0$ $4 x - y - 4 = 0$
48153	Graph	y=0.25csc(x+pi)+1	$y = 0.25 \csc (x + π) + 1$
48154	Solve for t	s=(at^2)/2	$s = \frac{a t^{2}}{2}$
48155	Rationalize the Denominator	4/(-1+ square root of 14)	$\frac{4}{- 1 + \sqrt{14}}$
48156	Write in Standard Form	y=-9x^7-x^5+10x^3	$y = - 9 x^{7} - x^{5} + 10 x^{3}$
48157	Solve the Inequality for d	-2d-8>=16	$- 2 d - 8 \geq 16$
48158	Simplify	((3x+6)/(x+5))/((x+2)/(x^2-25))	$\frac{\frac{3 x + 6}{x + 5}}{\frac{x + 2}{x^{2} - 25}}$
48159	Find the Asymptotes	(x^3-5x)/(x^2+1)	$\frac{x^{3} - 5 x}{x^{2} + 1}$
48160	Find the Equation that Relates x and y	a=2 and b=1	$a = 2$ and $b = 1$
48161	Find the Derivative - d/dy	x*y	$x \cdot y$
48162	Convert to Interval Notation	7p+5<=-37 and -10p<10	$7 p + 5 \leq - 37$ and $- 10 p < 10$
48163	Evaluate the Integral	integral from pi/2 to (3pi)/2 of xsin(x) with respect to x	$\int_{\frac{π}{2}}^{\frac{3 π}{2}} x \sin (x) d x$
48164	Find the Percentage Rate of Change	w(t)=700(0.995)^t	$w (t) = 700 {(0.995)}^{t}$
48165	Simplify	((x^2-9)/(x^2-5x)*(5x-x^2)/(x^2-x-12))÷((x-4)/(x^2-8x+16))	$\frac{x^{2} - 9}{x^{2} - 5 x} \cdot \frac{5 x - x^{2}}{x^{2} - x - 12} \div \frac{x - 4}{x^{2} - 8 x + 16}$
48166	Solve for x	square root of 2x+6+4=x+3	$\sqrt{2 x + 6 + 4} = x + 3$
48167	Evaluate	sin(theta)=-27/190	$\sin (θ) = - \frac{27}{190}$
48168	Find the Antiderivative	square root of 5-x	$\sqrt{5 - x}$
48169	Evaluate the Integral	integral from -3 to 4 of (2e^(-3x)-3e^x) with respect to x	$\int_{- 3}^{4} (2 e^{- 3 x} - 3 e^{x}) d x$
48170	Multiply	xy*x	$x y \cdot x$
48171	Simplify the Radical Expression	cube root of 125x^8* fourth root of 16x	$\sqrt[3]{125 x^{8}} \cdot \sqrt[4]{16 x}$
48172	Graph	y=-1/3(x+1)+5	$y = - \frac{1}{3} (x + 1) + 5$
48173	Solve the System of Equations	5x+10y+15z=60 2x+4y+6z=60 x+2y+3z=60	$5 x + 10 y + 15 z = 60$ $2 x + 4 y + 6 z = 60$ $x + 2 y + 3 z = 60$
48174	Find the Domain and Range	y=csc(x+pi/4)	$y = \csc (x + \frac{π}{4})$
48175	Evaluate	8^3+3^(1/2)	$8^{3} + 3^{\frac{1}{2}}$
48176	Graph	j(x)=2f(x+1)+4	$j (x) = 2 f (x + 1) + 4$
48177	Find the Critical Points	Let h(x)=e^(2x-6)-e	Let $h (x) = e^{2 x - 6} - e$
48178	Write in Slope-Intercept Form	x-y=5(x-y)	$x - y = 5 (x - y)$
48179	Factor	27^3-64	$27^{3} - 64$
48180	Simplify	cos(225 degrees )	$\cos (225 °)$
48181	Solve for p	S=(r-p)/2	$S = \frac{r - p}{2}$
48182	Simplify the Radical Expression	- square root of 1+ square root of -81- square root of 16- square root of -1	$- \sqrt{1} + \sqrt{- 81} - \sqrt{16} - \sqrt{- 1}$
48183	Solve the Rational Equation for x	2/x=(x+5)/(3x)	$\frac{2}{x} = \frac{x + 5}{3 x}$
48184	Write in Standard Form	-(x^3)/6-10+x	$- \frac{x^{3}}{6} - 10 + x$
48185	Find the Holes in the Graph	(x^2-5x+4)/(3x^2+6x-72)	$\frac{x^{2} - 5 x + 4}{3 x^{2} + 6 x - 72}$
48186	Simplify	((x^-2y^4)^3)/((xy)^-3)	$\frac{{(x^{- 2} y^{4})}^{3}}{{(x y)}^{- 3}}$
48187	Solve the Absolute Value Inequality for p	\|-3p\|=15	$\| - 3 p \| = 15$
48188	Graph	( square root of 3,1)	$(\sqrt{3}, 1)$
48189	Solve for x	-2(4-x)+x>-25	$- 2 (4 - x) + x > - 25$
48190	Find the Excluded Values	1/(x-1)+3=7/(x-1)	$\frac{1}{x - 1} + 3 = \frac{7}{x - 1}$
48191	Simplify	4 1/2/4 1/6	$\frac{4 \frac{1}{2}}{4 \frac{1}{6}}$
48192	Graph	2^(5x)=32 , 768	$2^{5 x} = 32$ , $768$
48193	Solve for x	3.8=-2 1/2-5x	$3.8 = - 2 \frac{1}{2} - 5 x$
48194	Simplify	(12x+48)/(6x-15)*(4x^2-25)/(x^2+9x+20)	$\frac{12 x + 48}{6 x - 15} \cdot \frac{4 x^{2} - 25}{x^{2} + 9 x + 20}$
48195	Find the Inverse	f(x) = cube root of x-1+4	$f (x) = \sqrt[3]{x - 1 + 4}$
48196	Simplify	(4w^-3(2q)^2)/(8w^2q^3)	$\frac{4 w^{- 3} {(2 q)}^{2}}{8 w^{2} q^{3}}$
48197	Find the GCF	10 and 20	$10$ and $20$
48198	Solve the Function Operation	f(x) = cube root of 9(x-9) ; find f^-1(x)	$f (x) = \sqrt[3]{9 (x - 9)}$ ; find $f^{- 1} (x)$
48199	Simplify	(5/(4x))/((7x^3)/2)	$\frac{\frac{5}{4 x}}{\frac{7 x^{3}}{2}}$
48200	Find the Absolute Max and Min over the Interval	f(x)=\|x\|-3\|x+1\| , [-2,2]	$f (x) = \| x \| - 3 \| x + 1 \|$ , $[- 2, 2]$