Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
31001	Simplify	e^(2 natural log of 3)	$e^{2 \ln (3)}$
31002	Simplify	(x^2x^3)^0	${(x^{2} x^{3})}^{0}$
31003	Simplify	( cube root of 64m^3)( cube root of 15m^6)	$(\sqrt[3]{64 m^{3}}) (\sqrt[3]{15 m^{6}})$
31004	Simplify	(-80)(-41)(0)(-15)(-6)	$(- 80) (- 41) (0) (- 15) (- 6)$
31005	Divide	6/53/5	$\frac{6}{5} \cdot \frac{3}{5}$
31006	Find the Exact Value	2(x+3)	$2 (x + 3)$
31007	Solve for x	(5x+3)^2=5(x+3)	${(5 x + 3)}^{2} = 5 (x + 3)$
31008	Graph	\|2x-y\|+\|x+y\|<=6	$\| 2 x - y \| + \| x + y \| \leq 6$
31009	Graph	y<3x 2 y>=3x-4	$y < 3 x$ $2$ $y \geq 3 x - 4$
31010	Solve the Function Operation	f(x)=(x-3)^(1/2) ; find f^-1(x)	$f (x) = {(x - 3)}^{\frac{1}{2}}$ ; find $f^{- 1} (x)$
31011	Simplify	(5ab)/(3a^2b^3)+(5ab)/(2a^4b^2)+(5ab)/(4ab)	$\frac{5 a b}{3 a^{2} b^{3}} + \frac{5 a b}{2 a^{4} b^{2}} + \frac{5 a b}{4 a b}$
31012	Solve the Inequality for x	4x^2+1>=4x	$4 x^{2} + 1 \geq 4 x$
31013	Simplify	( square root of 18+ square root of -12)+(4 square root of 2- square root of -3)	$(\sqrt{18} + \sqrt{- 12}) + (4 \sqrt{2} - \sqrt{- 3})$
31014	Evaluate	Find the value of cube root of 8	Find the value of $\sqrt[3]{8}$
31015	Solve for x	\|x+1\|+\|2x+3\|=5	$\| x + 1 \| + \| 2 x + 3 \| = 5$
31016	Simplify	square root of 4+ square root of 7* square root of 4- square root of 7	$\sqrt{4 + \sqrt{7}} \cdot \sqrt{4 - \sqrt{7}}$
31017	Simplify	(2+- square root of 4-(4)6-5)/12	$\frac{2 + - \sqrt{4 - (4) \cdot 6 \cdot - 5}}{12}$
31018	Simplify the Radical Expression	cd cube root of -80c	$c d \sqrt[3]{- 80 c}$
31019	Simplify	(30x^7y^-3)/(5x^4y^2)*(x^-5)/(y^-8)	$\frac{30 x^{7} y^{- 3}}{5 x^{4} y^{2}} \cdot \frac{x^{- 5}}{y^{- 8}}$
31020	Divide	((x^2+5x-36)/(x+5))÷((x^2-16)/(x+4))	$\frac{x^{2} + 5 x - 36}{x + 5} \div \frac{x^{2} - 16}{x + 4}$
31021	Simplify	(n+(n+1))^2	${(n + (n + 1))}^{2}$
31022	Write in Slope-Intercept Form	2x+3y-4=x+5	$2 x + 3 y - 4 = x + 5$
31023	Simplify	(-x^9y^2)(10y^5)(3x^-3y^-8)	$(- x^{9} y^{2}) (10 y^{5}) (3 x^{- 3} y^{- 8})$
31024	Evaluate the Integral	integral from -5 to 1 of (-5x+4e^(-x)) with respect to x	$\int_{- 5}^{1} (- 5 x + 4 e^{- x}) d x$
31025	Simplify	(x+y-1)^3	${(x + y - 1)}^{3}$
31026	Graph	f(x)=(-5x^2+20)/(3x^2-6x)	$f (x) = \frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$
31027	Solve the Rational Equation for x	3 cube root of x = cube root of 7x+5	$3 \sqrt[3]{x} = \sqrt[3]{7 x + 5}$
31028	Simplify	(3x^3)(2x^2-7x-8)x^3	$(3 x^{3}) (2 x^{2} - 7 x - 8) x^{3}$
31029	Evaluate the Integral	integral of (2x+1)e^(x^2+x) with respect to x	$\int (2 x + 1) e^{x^{2} + x} d x$
31030	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-4) and has a slope of -2 ?	What is the equation of the line that passes through the point $(2, - 4)$ and has a slope of $- 2$ ?
31031	Find the Integral	xsin(3x)	$x \sin (3 x)$
31032	Evaluate	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{- \frac{1}{5}}$
31033	Find Amplitude, Period, and Phase Shift	y=cos(theta-pi)+2	$y = \cos (θ - π) + 2$
31034	Solve by Completing the Square	x^2+3/2x-3=0	$x^{2} + \frac{3}{2} x - 3 = 0$
31035	Evaluate	sec(x)^2-6tan(x)=-4	$\sec^{2} (x) - 6 \tan (x) = - 4$
31036	Convert to Rectangular Coordinates	( square root of 3,pi/2)	$(\sqrt{3}, \frac{π}{2})$
31037	Solve for x	9x+5x-8=-2x	$9 x + 5 x - 8 = - 2 x$
31038	Simplify	3x^9y^9*6x^4	$3 x^{9} y^{9} \cdot 6 x^{4}$
31039	Evaluate	38/2+3(8)^2	$\frac{38}{2} + 3 {(8)}^{2}$
31040	Find the Quotient	(-7x^4+5x^3+20x^2+10)÷(-x^2+x+3)	$(- 7 x^{4} + 5 x^{3} + 20 x^{2} + 10) \div (- x^{2} + x + 3)$
31041	Convert from Degrees to Radians	25deg	$25$ degrees
31042	Graph	y<3x 2 y<=3x-4	$y < 3 x$ $2$ $y \leq 3 x - 4$
31043	Simplify	(2x-3)/(x^2-8x+12)-(x-1)/(x^2-8x+12)	$\frac{2 x - 3}{x^{2} - 8 x + 12} - \frac{x - 1}{x^{2} - 8 x + 12}$
31044	Simplify	(3x^5-18x^4-21x^3)/(2x^6-98x^4)	$\frac{3 x^{5} - 18 x^{4} - 21 x^{3}}{2 x^{6} - 98 x^{4}}$
31045	Solve for y	-2(18-3y)=7y+2y	$- 2 (18 - 3 y) = 7 y + 2 y$
31046	Find dy/dx	-4y+4x^3+y^2=0	$- 4 y + 4 x^{3} + y^{2} = 0$
31047	Simplify	((10m-90)/10)÷((m^2+9m+18)/(7m^2+42m))	$\frac{10 m - 90}{10} \div \frac{m^{2} + 9 m + 18}{7 m^{2} + 42 m}$
31048	Find the Discriminant	m^2+5m=2m^2	$m^{2} + 5 m = 2 m^{2}$
31049	Graph	x(x+2)(x+1)(x-1)	$x (x + 2) (x + 1) (x - 1)$
31050	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-13x^3+11x^2+15x-2 is divided by x-2	Use synthetic division to find the result when $2 x^{4} - 13 x^{3} + 11 x^{2} + 15 x - 2$ is divided by $x - 2$
31051	Multiply	cube root of 3* cube root of -20	$\sqrt[3]{3} \cdot \sqrt[3]{- 20}$
31052	Add	(7x^4-9x^3-4x^2+5x+6)-(2x^4+3x^3-x^2+x-4)	$(7 x^{4} - 9 x^{3} - 4 x^{2} + 5 x + 6) - (2 x^{4} + 3 x^{3} - x^{2} + x - 4)$
31053	Graph	x+2<=0	$x + 2 \leq 0$
31054	Write in Slope-Intercept Form	-y-2=2/5x	$- y - 2 = \frac{2}{5} x$
31055	Simplify	(2x-3)(2x-1)(x-1)(2x+3)	$(2 x - 3) (2 x - 1) (x - 1) (2 x + 3)$
31056	Simplify	((2a+b)/a-(a+2b)/b)*((a-b)/(b^2+ab)+(a+b)/(b^2-ab))	$(\frac{(2 a + b)}{a} - \frac{(a + 2 b)}{b}) \cdot (\frac{(a - b)}{b^{2} + a b} + \frac{(a + b)}{b^{2} - a b})$
31057	Graph	f(x)=x^2(2x+12)(x-4)(x+2)	$f (x) = x^{2} (2 x + 12) (x - 4) (x + 2)$
31058	Find the Degree	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
31059	Find the Asymptotes	f(x)=1/2* log base 1/4 of x	$f (x) = \frac{1}{2} \cdot \log_{\frac{1}{4}} (x)$
31060	Simplify	( cube root of 3)/(2 cube root of -375)	$\frac{\sqrt[3]{3}}{2 \sqrt[3]{- 375}}$
31061	Find the Domain and Range	f(x)=4-x^2,x<0; x-2,x>=0	$f (x) = {\begin{cases} 4 - x^{2}, x < 0 \\ x - 2, x \geq 0 \end{cases}$
31062	Solve for x	cos(x)=2/pi	$\cos (x) = \frac{2}{π}$
31063	Graph	y>=-2(x-3)^2+2	$y \geq - 2 {(x - 3)}^{2} + 2$
31064	Graph	2x-6<=y	$2 x - 6 \leq y$
31065	Solve for z	\|z/2+4\|=\|4z-6\|	$\| \frac{z}{2} + 4 \| = \| 4 z - 6 \|$
31066	Solve for p	4p-5<=25	$4 p - 5 \leq 25$
31067	Evaluate	4(3/2)^1	$4 {(\frac{3}{2})}^{1}$
31068	Expand the Logarithmic Expression	log base 2 of (4x^7y^2)/(12z)	$\log_{2} (\frac{4 x^{7} y^{2}}{12 z})$
31069	Find the Domain	(x^2-4y^2)÷((5x-10y)/x)	$(x^{2} - 4 y^{2}) \div \frac{5 x - 10 y}{x}$
31070	Simplify	3+ square root of 2-7+3 square root of 2	$3 + \sqrt{2} - 7 + 3 \sqrt{2}$
31071	Solve for x	2/(3x)+2/3=8/(x+6)	$\frac{2}{3 x} + \frac{2}{3} = \frac{8}{x + 6}$
31072	Evaluate	5/(-2^2)	$\frac{5}{- 2^{2}}$
31073	Evaluate the Function	g(-x)=(-x)^2	$g (- x) = {(- x)}^{2}$
31074	Solve the System of Equations	y=4x+3 and y=-x-2	$y = 4 x + 3$ and $y = - x - 2$
31075	Solve for x	4x-6+5x=2x+21-2x	$4 x - 6 + 5 x = 2 x + 21 - 2 x$
31076	Evaluate	2(x+5)=3x+1	$2 (x + 5) = 3 x + 1$
31077	Find the Derivative - d/dx	-1/(4(x+1)^(3/2))	$\frac{- 1}{4 {(x + 1)}^{\frac{3}{2}}}$
31078	Find the Roots (Zeros)	y=(x-1)(x+1)(x-3)(x-2)	$y = (x - 1) (x + 1) (x - 3) (x - 2)$
31079	Factor	2^(2x)-12*2^x+2^5	$2^{2 x} - 12 \cdot 2^{x} + 2^{5}$
31080	Subtract	square root of 324-1/2 square root of 64	$\sqrt{324} - \frac{1}{2} \sqrt{64}$
31081	Solve for C in Degrees	6cos(C)-4=cos(C)-9	$6 \cos (C) - 4 = \cos (C) - 9$
31082	Graph	sec(theta)>0 and cot(theta)<0	$\sec (θ) > 0$ and $\cot (θ) < 0$
31083	Solve for m	21=-7+7m^2	$21 = - 7 + 7 m^{2}$
31084	Simplify	(4x^0y^-2)/(4xy^-4)	$\frac{4 x^{0} y^{- 2}}{4 x y^{- 4}}$
31085	Solve the System of Equations	x-y+z=0 -x+2y-3z=-5 2x-3y+5z=8	$x - y + z = 0$ $- x + 2 y - 3 z = - 5$ $2 x - 3 y + 5 z = 8$
31086	Find the Domain and Range	f(x) = square root of 1/9-x^2	$f (x) = \sqrt{\frac{1}{9} - x^{2}}$
31087	Solve for x	3x-20-7x=2x+20+2x	$3 x - 20 - 7 x = 2 x + 20 + 2 x$
31088	Solve the System of Equations	-x+2y+z=0 -x+2y+3z=0 x-5y-2z=9	$- x + 2 y + z = 0$ $- x + 2 y + 3 z = 0$ $x - 5 y - 2 z = 9$
31089	Find the Integral	xy^2	$x y^{2}$
31090	Solve for b	3+6\|-2+b\|=45	$3 + 6 \| - 2 + b \| = 45$
31091	Find the Inflection Points	1/15x^6+x^5+25/6x^4	$\frac{1}{15} x^{6} + x^{5} + \frac{25}{6} x^{4}$
31092	Multiply	cube root of -9x^2y^4* cube root of 12xy	$\sqrt[3]{- 9 x^{2} y^{4}} \cdot \sqrt[3]{12 x y}$
31093	Evaluate the Limit	limit as x approaches infinity of (7x^3-4x+2x^6)/(5x^9-3x^2)	$lim_{x \to \infty} \frac{7 x^{3} - 4 x + 2 x^{6}}{5 x^{9} - 3 x^{2}}$
31094	Simplify	(x^2+7x)+(2x^2-7x)	$(x^{2} + 7 x) + (2 x^{2} - 7 x)$
31095	Simplify	(2 square root of 3)^4	${(2 \sqrt{3})}^{4}$
31096	Solve for u	8/(4u-8)-1=2/(u-2)	$\frac{8}{4 u - 8} - 1 = \frac{2}{u - 2}$
31097	Evaluate	square root of x- square root of x-5=-1	$\sqrt{x} - \sqrt{x - 5} = - 1$
31098	Multiply	(5a)/(5a+5)*(10a+10)/a	$\frac{5 a}{5 a + 5} \cdot \frac{10 a + 10}{a}$
31099	Evaluate the Limit	limit as x approaches infinity of (2-x^3)/(4x^5+1)	$lim_{x \to \infty} \frac{2 - x^{3}}{4 x^{5} + 1}$
31100	Find the Other Trig Values in Quadrant IV	sec(theta) = square root of 2	$\sec (θ) = \sqrt{2}$