Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
30001	Divide	(6a^2b-12ab^2)/(-2ab)	$\frac{6 a^{2} b - 12 a b^{2}}{- 2 a b}$
30002	Evaluate the Integral	integral from -1 to 1 of (27/(x^4)-3) with respect to x	$\int_{- 1}^{1} (\frac{27}{x^{4}} - 3) d x$
30003	Simplify	1/7xy(7xy)^3	$\frac{1}{7} x y {(7 x y)}^{3}$
30004	Factor	8(2x+3)^2(x-7)^4-(2x+3)^3(x-7)^3	$8 {(2 x + 3)}^{2} {(x - 7)}^{4} - {(2 x + 3)}^{3} {(x - 7)}^{3}$
30005	Simplify	c+c+7+5c-3-6c	$c + c + 7 + 5 c - 3 - 6 c$
30006	Solve for x	10x-2x+12=2(3x+5)+2x	$10 x - 2 x + 12 = 2 (3 x + 5) + 2 x$
30007	Solve for z	3/4(y-z)=x	$\frac{3}{4} (y - z) = x$
30008	Factor	9(x+7)^3(5x+8)^3-(x+7)^2(5x+8)^4	$9 {(x + 7)}^{3} {(5 x + 8)}^{3} - {(x + 7)}^{2} {(5 x + 8)}^{4}$
30009	Multiply	( square root of 5a)( square root of 2a)(3 square root of 10a^2)	$(\sqrt{5 a}) (\sqrt{2 a}) (3 \sqrt{10 a^{2}})$
30010	Solve by Graphing	x-y=4 y=-4/5x+5	$x - y = 4$ $y = - \frac{4}{5} x + 5$
30011	Simplify the Radical Expression	(z^7)/(z^-14)	$\frac{z^{7}}{z^{- 14}}$
30012	Graph	y<=x+2 y>=x-3	$y \leq x + 2$ $y \geq x - 3$
30013	Find the Domain and Range	y=1/2cos(x)	$y = \frac{1}{2} \cos (x)$
30014	Solve for w	w^2=0	$w^{2} = 0$
30015	Solve for x	(-10+x)/4+5>=(7x-5)/3	$\frac{- 10 + x}{4} + 5 \geq \frac{7 x - 5}{3}$
30016	Simplify	sixth root of (x^2+2)^18	$\sqrt[6]{{(x^{2} + 2)}^{18}}$
30017	Simplify	(4-x)/(16-x^2)	$\frac{4 - x}{16 - x^{2}}$
30018	Simplify	(7/(x+2))/(9/(3x+6))	$\frac{\frac{7}{x + 2}}{\frac{9}{3 x + 6}}$
30019	Convert to Radical Form	((4a^4)/(5b^5))^(3/3)	${(\frac{4 a^{4}}{5 b^{5}})}^{\frac{3}{3}}$
30020	Find the GCF	7x and 14xy	$7 x$ and $14 x y$
30021	Simplify the Radical Expression	square root of 20-2 square root of 5	$\sqrt{20} - 2 \sqrt{5}$
30022	Find the Domain and Range	f^-1(x)=(4x+3)/2	$f^{- 1} (x) = \frac{4 x + 3}{2}$
30023	Solve for t	square root of t+4=3	$\sqrt{t + 4} = 3$
30024	Evaluate	0.6(10n+25)=10+5n	$0.6 (10 n + 25) = 10 + 5 n$
30025	Find the Exact Value	cot((3pi)/2)+sin((3pi)/2)	$\cot (\frac{3 π}{2}) + \sin (\frac{3 π}{2})$
30026	Simplify	2a-1-7b+4a-b+13	$2 a - 1 - 7 b + 4 a - b + 13$
30027	Solve for x	( square root of 3)/2=34 1/2/x	$\frac{\sqrt{3}}{2} = \frac{34 \frac{1}{2}}{x}$
30028	Factor	4^(2x)-1	$4^{2 x} - 1$
30029	Solve for x	(2^x+2^(-x))/2=3	$\frac{2^{x} + 2^{- x}}{2} = 3$
30030	Solve for x	2(6-2x)+3x=4+2(5+x)	$2 (6 - 2 x) + 3 x = 4 + 2 (5 + x)$
30031	Find Amplitude, Period, and Phase Shift	y=4sin((8x)/5-pi/2)	$y = 4 \sin (\frac{8 x}{5} - \frac{π}{2})$
30032	Simplify	((3x^-1y^-6)/(9x^5y^-2))^-1	${(\frac{3 x^{- 1} y^{- 6}}{9 x^{5} y^{- 2}})}^{- 1}$
30033	Solve the Inequality for x	\|x\|>=-2	$\| x \| \geq - 2$
30034	Evaluate the Integral	integral from 0 to pi/2 of cos(x) square root of 1+sin(x) with respect to x	$\int_{0}^{\frac{π}{2}} \cos (x) \sqrt{1 + \sin (x)} d x$
30035	Convert from Degrees to Radians	( square root of 2)/2	$\frac{\sqrt{2}}{2}$
30036	Divide	(6- square root of 3)/(2+ square root of 7)	$\frac{6 - \sqrt{3}}{2 + \sqrt{7}}$
30037	Graph	\|-9v\|<=54	$\| - 9 v \| \leq 54$
30038	Find dy/dx	cos(2x+3y^3)=3y^2	$\cos (2 x + 3 y^{3}) = 3 y^{2}$
30039	Solve for x	-(6x-(4x+8))=9+(6x+3)	$- (6 x - (4 x + 8)) = 9 + (6 x + 3)$
30040	Find the Derivative - d/dx	300 cube root of x^2 fourth root of y-100x-150y+2021	$300 \sqrt[3]{x^{2}} \sqrt[4]{y} - 100 x - 150 y + 2021$
30041	Solve for x	log base 0.4 of x>2	$\log_{0.4} (x) > 2$
30042	Graph	x\|x\|<=3	$x \| x \| \leq 3$
30043	Simplify	15-1.5(y-5)-7.5	$15 - 1.5 (y - 5) - 7.5$
30044	Expand the Logarithmic Expression	log base 3 of (x^3)/(7y^(3/2))	$\log_{3} (\frac{x^{3}}{7 y^{\frac{3}{2}}})$
30045	Evaluate	-1/( square root of 1-(( square root of 3)/2)^2)	$- \frac{1}{\sqrt{1 - {(\frac{\sqrt{3}}{2})}^{2}}}$
30046	Evaluate	(( square root of 3)/2)^4	${(\frac{\sqrt{3}}{2})}^{4}$
30047	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-4) and has a slope of -5/2 ?	What is the equation of the line that passes through the point $(4, - 4)$ and has a slope of $- \frac{5}{2}$ ?
30048	Evaluate	6 log base 8 of 2+( log base 8 of 64)/(3 log base 8 of 4)	$6 \log_{8} (2) + \frac{\log_{8} (64)}{3 \log_{8} (4)}$
30049	Simplify	((c^2d^-2)/c)^5	${(\frac{c^{2} d^{- 2}}{c})}^{5}$
30050	Simplify	cube root of 2a(2 cube root of 4a^2+ cube root of 32a)	$\sqrt[3]{2 a} (2 \sqrt[3]{4 a^{2}} + \sqrt[3]{32 a})$
30051	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+4x^2+11x+10 is divided by x+1	Use the long division method to find the result when $3 x^{3} + 4 x^{2} + 11 x + 10$ is divided by $x + 1$
30052	Find the Antiderivative	square root of x+1/x	$\sqrt{x} + \frac{1}{x}$
30053	Factor by Grouping	2x^4-4x^3-8x^2+16x	$2 x^{4} - 4 x^{3} - 8 x^{2} + 16 x$
30054	Evaluate	0.9/(1+1/8)	$\frac{0.9}{1 + \frac{1}{8}}$
30055	Simplify	(3x^2+4x)(3x^2-4x)	$(3 x^{2} + 4 x) (3 x^{2} - 4 x)$
30056	Solve for x	x/(x-2)-(2x+5)/(x+3)=1/(x+3)	$\frac{x}{x - 2} - \frac{2 x + 5}{x + 3} = \frac{1}{x + 3}$
30057	Simplify	-2x^2(-3x^(1/2)+5)	$- 2 x^{2} (- 3 x^{\frac{1}{2}} + 5)$
30058	Find the Antiderivative	y=x	$y = x$
30059	Solve Using the Quadratic Formula	(x^4+5x^2-36)(2x^2+9x-5)=0	$(x^{4} + 5 x^{2} - 36) (2 x^{2} + 9 x - 5) = 0$
30060	Divide	((7x^2)/(12x))÷((14x^3)/(48y^3))	$\frac{7 x^{2}}{12 x} \div \frac{14 x^{3}}{48 y^{3}}$
30061	Solve for a	x^2-12x+a=(x+b)^2	$x^{2} - 12 x + a = {(x + b)}^{2}$
30062	Convert from Radians to Degrees	(7pi)/5rad	$\frac{7 π}{5}$ radians
30063	Solve the Rational Equation for x	square root of x^2-5x+4=x-7	$\sqrt{x^{2} - 5 x + 4} = x - 7$
30064	Simplify	(18wz+24wz^2)/(9w^2z-12wz^2)	$\frac{18 w z + 24 w z^{2}}{9 w^{2} z - 12 w z^{2}}$
30065	Convert to a Decimal	-180deg	$- 180$ degrees
30066	Simplify	(27n^4-9n^3+63n^2)/(9n)	$\frac{27 n^{4} - 9 n^{3} + 63 n^{2}}{9 n}$
30067	Write in y=mx+b Form	y=x	$y = x$
30068	Graph	5x-7y>-14 x<=7	$5 x - 7 y > - 14$ $x \leq 7$
30069	Solve the Inequality for x	3x^2-1>=-2x	$3 x^{2} - 1 \geq - 2 x$
30070	Simplify	-3(3x^2+x-1)+5	$- 3 (3 x^{2} + x - 1) + 5$
30071	Solve for x	e^(sin(x))cos(x)=0	$e^{\sin (x)} \cos (x) = 0$
30072	Simplify	((2a^4b^3)/(c^6))^0	${(\frac{2 a^{4} b^{3}}{c^{6}})}^{0}$
30073	Find the Exact Value	cot(arccsc(-3))	$\cot (arccsc (- 3))$
30074	Simplify	Simplify (s^-5)^3	Simplify ${(s^{- 5})}^{3}$
30075	Solve for h	(h-1)(5h+4)=0	$(h - 1) (5 h + 4) = 0$
30076	Evaluate Using the Given Value	y+9-x ; use x=1 ; and y=3	$y + 9 - x$ ; use $x = 1$ ; and $y = 3$
30077	Find the Roots (Zeros)	square root of x-1=x-3	$\sqrt{x - 1} = x - 3$
30078	Simplify the Radical Expression	3 square root of 5-6 square root of 5+7 square root of 5	$3 \sqrt{5} - 6 \sqrt{5} + 7 \sqrt{5}$
30079	Evaluate the Integral	integral from -pi/2 to -pi/4 of -2cot(x)csc(x)^2 with respect to x	$\int_{- \frac{π}{2}}^{- \frac{π}{4}} - 2 \cot (x) \csc^{2} (x) d x$
30080	Solve the Function Operation	f(x)=-4 if x!=3; 4 if x=3 Find f(3)	$f (x) = {\begin{cases} - 4 & x \neq 3 \\ 4 & x = 3 \end{cases}$ Find $f (3)$
30081	Evaluate the Integral	integral of (sin(2x)+cos(2x)) with respect to x	$\int (\sin (2 x) + \cos (2 x)) d x$
30082	Find the Distance Between Two Points	(3,24) and (7,56)	$(3, 24)$ and $(7, 56)$
30083	Solve the System of Equations	-x+6y=15 and -2x-3y=0	$- x + 6 y = 15$ and $- 2 x - 3 y = 0$
30084	Solve the Inequality for b	-12>=7+b	$- 12 \geq 7 + b$
30085	Write in Standard Form	(2x^2+x+4)(x^2+4x-4)	$(2 x^{2} + x + 4) (x^{2} + 4 x - 4)$
30086	Evaluate	-4x-7+10x=-7+6x	$- 4 x - 7 + 10 x = - 7 + 6 x$
30087	Find the Sum of the Series	22+27+32+37+42+47	$22 + 27 + 32 + 37 + 42 + 47$
30088	Find the Exact Value	pi*3^2	$π \cdot 3^{2}$
30089	Simplify	( square root of x^2)/x	$\frac{\sqrt{x^{2}}}{x}$
30090	Find the Exact Value	(6+2)^2+0.9^2	${(6 + 2)}^{2} + {0.9}^{2}$
30091	Find the Product	(2a^6-6a^3)^2	${(2 a^{6} - 6 a^{3})}^{2}$
30092	Solve for X	1/X=a^2	$\frac{1}{X} = a^{2}$
30093	Solve for x	log base 8 of 8/(x^2)=3( log base 8 of x)^2	$\log_{8} (\frac{8}{x^{2}}) = 3 {\log_{8}}^{2} (x)$
30094	Find the Derivative - d/dx	y=(sec(x))/(1+tan(x))	$y = \frac{\sec (x)}{1 + \tan (x)}$
30095	Find the Derivative - d/dx	(3 square root of x)/2-2 square root of x^3	$\frac{3 \sqrt{x}}{2} - 2 \sqrt{x^{3}}$
30096	Simplify	square root of (x^3)/3	$\sqrt{\frac{x^{3}}{3}}$
30097	Find the Domain and Range	y=2arcsin(12x+8)	$y = 2 \arcsin (12 x + 8)$
30098	Find Amplitude, Period, and Phase Shift	y=10sin((6pi)/4(x-pi/2))+25	$y = 10 \sin (\frac{6 π}{4} (x - \frac{π}{2})) + 25$
30099	Simplify	square root of a/4- square root of 4a^3	$\sqrt{\frac{a}{4}} - \sqrt{4 a^{3}}$
30100	Find the Domain and Range	3cos(x+pi/6)	$3 \cos (x + \frac{π}{6})$