Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
39501	Evaluate	4(-3/2)^2-3	$4 {(- \frac{3}{2})}^{2} - 3$
39502	Solve for q	q-q+17q-4q+16q=29	$q - q + 17 q - 4 q + 16 q = 29$
39503	Solve for v	25^(v-2)=625	$25^{v - 2} = 625$
39504	Find dx/dy	y=xe^(2x)	$y = x e^{2 x}$
39505	Simplify	fourth root of (16x^4)/81	$\sqrt[4]{\frac{16 x^{4}}{81}}$
39506	Solve for p	8*11^(3p-9)+10=194	$8 \cdot 11^{3 p - 9} + 10 = 194$
39507	Write in Slope-Intercept Form	y--11=4(x-5)	$y - - 11 = 4 (x - 5)$
39508	Solve for x	-3(x+8)=X-4	$- 3 (x + 8) = X - 4$
39509	Find the Degree	arccos(-( square root of 3)/2)	$\arccos (- \frac{\sqrt{3}}{2})$
39510	Multiply	(3/8)÷(13/12) and 3/8*a/b	$\frac{3}{8} \div \frac{13}{12}$ and $\frac{3}{8} \cdot \frac{a}{b}$
39511	Evaluate the Integral	integral of (2x^2+4x-3)/(x^2) with respect to x	$\int \frac{(2 x^{2} + 4 x - 3)}{x^{2}} d x$
39512	Write in Standard Form	i^7	$i^{7}$
39513	Integrate By Parts	integral of x(x+2)^4 with respect to x	$\int x {(x + 2)}^{4} d x$
39514	Solve for z	5-i+(11-i)z=40+18i	$5 - i + (11 - i) z = 40 + 18 i$
39515	Simplify	16a+8+12c-7a+3b-c	$16 a + 8 + 12 c - 7 a + 3 b - c$
39516	Solve for t₁	v_1/t_1=v_2/t_2	$\frac{v_{1}}{t_{1}} = \frac{v_{2}}{t_{2}}$
39517	Find the Product	(2x+3y+5)*2	$(2 x + 3 y + 5) \cdot 2$
39518	Solve for p	5=(4p-1)/3	$5 = \frac{4 p - 1}{3}$
39519	Graph	x^2-2x+y^2-3=0	$x^{2} - 2 x + y^{2} - 3 = 0$
39520	Simplify the Radical Expression	cube root of (2x)/4	$\sqrt[3]{\frac{2 x}{4}}$
39521	Simplify	(3x^3*4x^4)/(x^2)	$\frac{3 x^{3} \cdot 4 x^{4}}{x^{2}}$
39522	Simplify the Radical Expression	( cube root of 135)/( cube root of 40)	$\frac{\sqrt[3]{135}}{\sqrt[3]{40}}$
39523	Multiply	6 5/631/2	$6 \frac{5}{6} \cdot 3 \cdot \frac{1}{2}$
39524	Solve for x	2sin(x)^2- square root of 3=0	$2 \sin^{2} (x) - \sqrt{3} = 0$
39525	Simplify	(5x-15)/((x-3)(x+3))	$\frac{5 x - 15}{(x - 3) (x + 3)}$
39526	Divide Using Synthetic Division	(2x^3+x^2-11x+2)÷(x-2)	$(2 x^{3} + x^{2} - 11 x + 2) \div (x - 2)$
39527	Find Amplitude, Period, and Phase Shift	y=4cos(3pix+2/5)	$y = 4 \cos (3 π x + \frac{2}{5})$
39528	Find the Inverse	y = cube root of 3x+2+5	$y = \sqrt[3]{3 x + 2} + 5$
39529	Simplify	(x^2-x-6)/(x^2)=(x-6)/(2x)+(2x+12)/x	$\frac{x^{2} - x - 6}{x^{2}} = \frac{x - 6}{2 x} + \frac{2 x + 12}{x}$
39530	Simplify	(7^2-5^2)/-4	$\frac{7^{2} - 5^{2}}{- 4}$
39531	Integrate By Parts	integral from 0 to infinity of xe^(-x) with respect to x	$\int_{0}^{\infty} x e^{- x} d x$
39532	Solve for w	15-2w-2=2(w-15)-1	$15 - 2 w - 2 = 2 (w - 15) - 1$
39533	Solve for y	7(y+2)-(4y-10)=44-2y+5	$7 (y + 2) - (4 y - 10) = 44 - 2 y + 5$
39534	Solve for w	(w+6)*2=20	$(w + 6) \cdot 2 = 20$
39535	Find the Domain and Range	y=((x-4)(x+3))/(x+3)	$y = \frac{(x - 4) (x + 3)}{x + 3}$
39536	Find the Domain	5/(x-6.2)+(2-x)/(2.8+x)	$\frac{5}{x - 6.2} + \frac{2 - x}{2.8 + x}$
39537	Solve the Inequality for g	7g-24>6(4-5g)	$7 g - 24 > 6 (4 - 5 g)$
39538	Solve the Rational Equation for x	\|x-2\|=3	$\| x - 2 \| = 3$
39539	Solve for θ in Degrees	sec(theta)^2-9=0	$\sec^{2} (θ) - 9 = 0$
39540	Simplify the Radical Expression	cube root of fourth root of y^11	$\sqrt[3]{\sqrt[4]{y^{11}}}$
39541	Solve for c	10-3c=5c-8c-24	$10 - 3 c = 5 c - 8 c - 24$
39542	Solve the Inequality for x	square root of x=11	$\sqrt{x} = 11$
39543	Solve the System of Inequalities	-2m-14<=-22 and 3m+14>=8	$- 2 m - 14 \leq - 22$ and $3 m + 14 \geq 8$
39544	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+10x^2+25x+14 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 10 x^{2} + 25 x + 14$ is divided by $3 x + 2$
39545	Find the Asymptotes	f(x)=(-2x+8x^3+3)/(-4x^3+7x^2-2)	$f (x) = \frac{- 2 x + 8 x^{3} + 3}{- 4 x^{3} + 7 x^{2} - 2}$
39546	Find the Critical Points	Let h(x)=(e^(2x))/(x-3)	Let $h (x) = \frac{e^{2 x}}{x - 3}$
39547	Solve for t	6t-8=2(2t+1)	$6 t - 8 = 2 (2 t + 1)$
39548	Simplify	4 square root of x-15 square root of x	$4 \sqrt{x - 15 \sqrt{x}}$
39549	Simplify	3/x+6/(7x^2)	$\frac{3}{x} + \frac{6}{7 x^{2}}$
39550	Factor	x^4+x^3-51x^2-9x+378	$x^{4} + x^{3} - 51 x^{2} - 9 x + 378$
39551	Solve for x	x-2=9x	$x - 2 = 9 x$
39552	Solve the System of Inequalities	3m>=-12 and -m-6<3	$3 m \geq - 12$ and $- m - 6 < 3$
39553	Solve the Function Operation	If f(x)=x^2-25 and g(x)=x-5 , x!=5 ; find (f/g)(x)	If $f (x) = x^{2} - 25$ and $g (x) = x - 5$ , $x \neq 5$ ; find $(\frac{f}{g}) (x)$
39554	Simplify	(5 square root of 2+3 square root of 5)(2 square root of 10-5)	$(5 \sqrt{2} + 3 \sqrt{5}) (2 \sqrt{10} - 5)$
39555	Find the Integral	xsin(xdx)	$x \sin (x d x)$
39556	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+22x^2-7x-6 is divided by 3x-2	Use the long division method to find the result when $3 x^{3} + 22 x^{2} - 7 x - 6$ is divided by $3 x - 2$
39557	Graph	y>=-1/5x-1 y<2x-6	$y \geq - \frac{1}{5} x - 1$ $y < 2 x - 6$
39558	Evaluate	- log base 12 of 3+ log base 12 of 32+ log base 12 of 162	$- \log_{12} (3) + \log_{12} (32) + \log_{12} (162)$
39559	Convert to Scientific Notation	3000÷0.01	$3000 \div 0.01$
39560	Solve for x	1/3(9x-30)+5=16	$\frac{1}{3} (9 x - 30) + 5 = 16$
39561	Write in Standard Form	(36m)÷9m	$36 m \div 9 m$
39562	Simplify	(5-5x)/(9x^2-9x)	$\frac{5 - 5 x}{9 x^{2} - 9 x}$
39563	Simplify	(2x+3)^2+(x+6)(x-5)	${(2 x + 3)}^{2} + (x + 6) (x - 5)$
39564	Solve for x	cube root of x+2 = cube root of x+3	$\sqrt[3]{x + 2} = \sqrt[3]{x + 3}$
39565	Solve for θ in Radians	cos(2theta-pi/2)=-1	$\cos (2 θ - \frac{π}{2}) = - 1$
39566	Evaluate the Integral	2 integral from 0 to 1 of x^3 square root of 1-x^2 with respect to x	$2 \int_{0}^{1} x^{3} \sqrt{1 - x^{2}} d x$
39567	Find dy/dx	x^2+y^2-4=0	$x^{2} + y^{2} - 4 = 0$
39568	Solve for n	3n^2-5n=8	$3 n^{2} - 5 n = 8$
39569	Solve for x	3(x+5)=5(x+3)-2x	$3 (x + 5) = 5 (x + 3) - 2 x$
39570	Solve the System of Equations	-2x-y=8 and 8x+6y=-16	$- 2 x - y = 8$ and $8 x + 6 y = - 16$
39571	Graph	7\|4a-6\|<42	$7 \| 4 a - 6 \| < 42$
39572	Expand Using the Binomial Theorem	(3/y+y^2)^5	${(\frac{3}{y} + y^{2})}^{5}$
39573	Simplify	(5^32^4)^2(5^-22^5)	${(5^{3} \cdot 2^{4})}^{2} (5^{- 2} \cdot 2^{5})$
39574	Find dy/dx	y=2x^2-x^2sin(x)	$y = 2 x^{2} - x^{2} \sin (x)$
39575	Find Where Increasing/Decreasing	f'(x)=x^2-2/x	$f' (x) = x^{2} - \frac{2}{x}$
39576	Solve the Inequality for x	sin(x)>-1	$\sin (x) > - 1$
39577	Simplify the Radical Expression	2 cube root of 24a^2+ cube root of 81a^2-6 cube root of 3a^2	$2 \sqrt[3]{24 a^{2}} + \sqrt[3]{81 a^{2}} - 6 \sqrt[3]{3} a^{2}$
39578	Find Amplitude, Period, and Phase Shift	y=3sin(theta/4)-2	$y = 3 \sin (\frac{θ}{4}) - 2$
39579	Simplify	(a^2-6)/(15a^3b^2)+3/(10ab^2)	$\frac{a^{2} - 6}{15 a^{3} b^{2}} + \frac{3}{10 a b^{2}}$
39580	Find the Leading Coefficient	f(x)=-2x^3(x-1)(x+5)	$f (x) = - 2 x^{3} (x - 1) (x + 5)$
39581	Simplify the Radical Expression	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
39582	Add	1/4+-1/2	$\frac{1}{4} + \frac{- 1}{2}$
39583	Evaluate the Limit	limit as x approaches negative infinity of square root of (4x^2+2x-1)/(9x^2-x-3)	$lim_{x \to - \infty} \sqrt{\frac{4 x^{2} + 2 x - 1}{9 x^{2} - x - 3}}$
39584	Evaluate	3^2+(5*(3+6))÷3	$3^{2} + 5 \cdot (3 + 6) \div 3$
39585	Find the LCM	6x^3 , 4	$6 x^{3}$ , $4$
39586	Graph	f(x)=(-4x+8)/(2x^2-8)	$f (x) = \frac{- 4 x + 8}{2 x^{2} - 8}$
39587	Simplify	6÷3+32*4-2	$6 \div 3 + 32 \cdot 4 - 2$
39588	Evaluate	5^x=1/127	$5^{x} = \frac{1}{127}$
39589	Find the Domain and Range	y=(x+1)^(1/2)+8	$y = {(x + 1)}^{\frac{1}{2}} + 8$
39590	Evaluate	2(p-7q+7)	$2 (p - 7 q + 7)$
39591	Multiply	(4-2 square root of 3)^2	${(4 - 2 \sqrt{3})}^{2}$
39592	Simplify	3e^1	$3 e^{1}$
39593	Simplify	4x+8-7+2x-3x-1	$4 x + 8 - 7 + 2 x - 3 x - 1$
39594	Find the Possible Factors	factors of 64	factors of $64$
39595	Solve for θ	0 degrees <=theta<=360 degrees	$0 ° \leq θ \leq 360 °$
39596	Find the Slope	(1,2) and (7,7)	$(1, 2)$ and $(7, 7)$
39597	Divide	(16x)÷2xy	$16 x \div 2 x y$
39598	Simplify	(6n+6)/(n+9)*(n^2+6n-27)/(6n+6)	$\frac{6 n + 6}{n + 9} \cdot \frac{n^{2} + 6 n - 27}{6 n + 6}$
39599	Solve for r	r/(r+4)+4/(r-4)=(r^2+16)/(r^2-16)	$\frac{r}{r + 4} + \frac{4}{r - 4} = \frac{r^{2} + 16}{r^{2} - 16}$
39600	Solve for x	3/x=2x-1	$\frac{3}{x} = 2 x - 1$