Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
27001	Find dy/dx	y=1-x*e^y	$y = 1 - x \cdot e^{y}$
27002	Find dy/dx	y=3x^2+2x-1	$y = 3 x^{2} + 2 x - 1$
27003	Solve for x	5^(2x)*5^(4x)=125	$5^{2 x} \cdot 5^{4 x} = 125$
27004	Find the Slope	(-3,-3) and (-18,-23)	$(- 3, - 3)$ and $(- 18, - 23)$
27005	Add	(8x-4)/(7x^3)+(8x+3)/(7x^3)	$\frac{8 x - 4}{7 x^{3}} + \frac{8 x + 3}{7 x^{3}}$
27006	Evaluate	(9+5--6)(5+-6)	$(9 + 5 - - 6) (5 + - 6)$
27007	Find the Inverse	f(x)=7(( fifth root of x)/2-4)	$f (x) = 7 (\frac{\sqrt[5]{x}}{2} - 4)$
27008	Solve for x	4x-1/3(15x-3(-1+2x))=3/2(9-x-6)	$4 x - \frac{1}{3} (15 x - 3 (- 1 + 2 x)) = \frac{3}{2} (9 - x - 6)$
27009	Solve for x	2x+3/(x+2)=1	$2 x + \frac{3}{x + 2} = 1$
27010	Evaluate	pi/8*180/pi	$\frac{π}{8} \cdot \frac{180}{π}$
27011	Simplify	-(729/64)^(5/6)	$- {(\frac{729}{64})}^{\frac{5}{6}}$
27012	Evaluate	(16x^8y^-12)^(1/2)	${(16 x^{8} y^{- 12})}^{\frac{1}{2}}$
27013	Solve the Function Operation	(-3,2) y (5,-8)	$(- 3, 2)$ $y$ $(5, - 8)$
27014	Simplify	((2^-4)/(2^-4))^-4	${(\frac{2^{- 4}}{2^{- 4}})}^{- 4}$
27015	Solve the Function Operation	Given that sin(x)=-1/3 and x belongs to Quadrant IV Then	Given that $\sin (x) = - \frac{1}{3}$ and $x$ belongs to Quadrant $I V$ Then
27016	Find the Antiderivative	f(x)=2/(x^3)+cos(x)	$f (x) = \frac{2}{x^{3}} + \cos (x)$
27017	Find the LCM	24 and 36	$24$ and $36$
27018	Find the Antiderivative	f(x)=1/(cos(x)^2)-2/3	$f (x) = \frac{1}{\cos^{2} (x)} - \frac{2}{3}$
27019	Solve the Function Operation	f(x)=(x^5)/7 ; find f^-1(x)	$f (x) = \frac{x^{5}}{7}$ ; find $f^{- 1} (x)$
27020	Evaluate	1+ square root of 5x+5=5	$1 + \sqrt{5 x + 5} = 5$
27021	Solve for θ in Degrees	16sec(theta)^2-1=0	$16 \sec^{2} (θ) - 1 = 0$
27022	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+5x^3+2x^2+10x-12 is divided by x+2	Use synthetic division to find the result when $4 x^{4} + 5 x^{3} + 2 x^{2} + 10 x - 12$ is divided by $x + 2$
27023	Solve by Substitution	x^3+y^3=126 x^2-xy+y^2=21	$x^{3} + y^{3} = 126$ $x^{2} - x y + y^{2} = 21$
27024	Simplify	-2x--8x	$- 2 x - - 8 x$
27025	Use Logarithmic Differentiation to Find the Derivative	y=x^(9sin(x))	$y = x^{9 \sin (x)}$
27026	Factor	Factorise x^2+5x+6	Factorise $x^{2} + 5 x + 6$
27027	Find the Derivative - d/dx	sin(2x^3+3x)^2	$\sin^{2} (2 x^{3} + 3 x)$
27028	Write the Fraction in Simplest Form	(2(r^-2)^5)/(2r^-6)	$\frac{2 {(r^{- 2})}^{5}}{2 r^{- 6}}$
27029	Solve the Inequality for x	x/-1-6<-5	$\frac{x}{- 1} - 6 < - 5$
27030	Evaluate	(x^(-10/3))/(x^3)	$\frac{x^{- \frac{10}{3}}}{x^{3}}$
27031	Simplify	x square root of 2x^3	$x \sqrt{2 x^{3}}$
27032	Solve for x	x+30>3x	$x + 30 > 3 x$
27033	Solve the System of Equations	-6x-3y=-21 and 3x+y=6	$- 6 x - 3 y = - 21$ and $3 x + y = 6$
27034	Solve for y	square root of 3y+7=10	$\sqrt{3 y} + 7 = 10$
27035	Find dy/dx	-3y^2-y+5x^2=-3y^3	$- 3 y^{2} - y + 5 x^{2} = - 3 y^{3}$
27036	Simplify	(cos(2a))/(cos(a)^2)	$\frac{\cos (2 a)}{\cos^{2} (a)}$
27037	Simplify	(4x^-4y^(2/3))/( fourth root of 16x^4y^2)	$\frac{4 x^{- 4} y^{\frac{2}{3}}}{\sqrt[4]{16 x^{4} y^{2}}}$
27038	Simplify	5x^3(2x+4y)	$5 x^{3} (2 x + 4 y)$
27039	Solve for w	e^w=10^x	$e^{w} = 10^{x}$
27040	Factor	an-mn-n^2+ma	$a n - m n - n^{2} + m a$
27041	Simplify	fourth root of square root of h^6i^24j^18	$\sqrt[4]{\sqrt{h^{6} i^{24} j^{18}}}$
27042	Evaluate	5 1/9-1/12*2/3	$5 \frac{1}{9} - \frac{1}{12} \cdot \frac{2}{3}$
27043	Multiply	(x^3+2x^2+1)(x^2+5)	$(x^{3} + 2 x^{2} + 1) (x^{2} + 5)$
27044	Simplify	(50-2w^2)/(3w^2+9w-30)*(w^2+5w-14)/(6w-30)	$\frac{50 - 2 w^{2}}{3 w^{2} + 9 w - 30} \cdot \frac{w^{2} + 5 w - 14}{6 w - 30}$
27045	Simplify the Radical Expression	fourth root of 64x^4	$\sqrt[4]{64 x^{4}}$
27046	Simplify	(8m)/(2n^-2)	$\frac{8 m}{2 n^{- 2}}$
27047	Find the Roots (Zeros)	cos(x)	$\cos (x)$
27048	Factor	2x^2-50+12xy+60y	$2 x^{2} - 50 + 12 x y + 60 y$
27049	Evaluate	-3(0.15-0.2+0.25p)	$- 3 (0.15 - 0.2 + 0.25 p)$
27050	Simplify	(cot(A)-1)(cot(A)+1)	$(\cot (A) - 1) (\cot (A) + 1)$
27051	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+12x^2+27x+8 is divided by 3x+1	Use the long division method to find the result when $9 x^{3} + 12 x^{2} + 27 x + 8$ is divided by $3 x + 1$
27052	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,5) and has a slope of 2 ?	What is the equation of the line that passes through the point $(3, 5)$ and has a slope of $2$ ?
27053	Solve the System of Equations	3x+10y-12z=40 x-5y=0 x-4z=0	$3 x + 10 y - 12 z = 40$ $x - 5 y = 0$ $x - 4 z = 0$
27054	Verify the Identity	(sec(x)^2-tan(x)^2+tan(x))/(sec(x))=sin(x)+cos(x)	$\frac{\sec^{2} (x) - \tan^{2} (x) + \tan (x)}{\sec (x)} = \sin (x) + \cos (x)$
27055	Evaluate	2pi*3/4	$2 π \cdot \frac{3}{4}$
27056	Evaluate	(4x square root of 5x^2+2x^2 square root of 6)^2	${(4 x \sqrt{5 x^{2}} + 2 x^{2} \sqrt{6})}^{2}$
27057	Solve for y	(x-6)/(x+3)*y/(x-6)=x-2	$\frac{x - 6}{x + 3} \cdot \frac{y}{x - 6} = x - 2$
27058	Evaluate the Integral	integral of (2+y^2)^2 with respect to y	$\int {(2 + y^{2})}^{2} d y$
27059	Evaluate	(2^23)+(12+3)2	$(2^{2} \cdot 3) + (12 + 3) \cdot 2$
27060	Evaluate	1/18(9)^0	$\frac{1}{18} {(9)}^{0}$
27061	Simplify	fourth root of 5/(x^3y^8)	$\sqrt[4]{\frac{5}{x^{3} y^{8}}}$
27062	Solve for x	log base 4 of x+1 = log base 4 of x+10	$\log_{4} (x + 1) = \log_{4} (x + 10)$
27063	Simplify	b^-9*(b^2)^4	$b^{- 9} \cdot {(b^{2})}^{4}$
27064	Solve the System of Equations	-x+3y+10z=8 4x-9y-34z=-17 3x+5y-2z=46	$- x + 3 y + 10 z = 8$ $4 x - 9 y - 34 z = - 17$ $3 x + 5 y - 2 z = 46$
27065	Solve for x	x=(910^9)(2.6*10^-6)	$x = (9 \cdot 10^{9}) \cdot (2.6 \cdot 10^{- 6})$
27066	Solve for x	1+3(x-5)=7+x	$1 + 3 (x - 5) = 7 + x$
27067	Divide	(7/15)÷(-11/6)	$\frac{7}{15} \div (- \frac{11}{6})$
27068	Graph	(2x+1)/(x-5)<=3	$\frac{2 x + 1}{x - 5} \leq 3$
27069	Simplify	(2^2)/(2^3)*2^5	$\frac{2^{2}}{2^{3}} \cdot 2^{5}$
27070	Simplify the Radical Expression	(a^(1/2))^(1/3)	${(a^{\frac{1}{2}})}^{\frac{1}{3}}$
27071	Convert to Radical Form	5^(1/2)+10(125)^(1/2)	$5^{\frac{1}{2}} + 10 {(125)}^{\frac{1}{2}}$
27072	Find All Complex Solutions	1/(x+3)=(x+10)/(x-2)	$\frac{1}{x + 3} = \frac{x + 10}{x - 2}$
27073	Factor	(8(t-3)^7(4t+7)^8-8(4t+7)^7*4(t-3)^8)/(((4t+7)^8)^2)	$\frac{8 {(t - 3)}^{7} {(4 t + 7)}^{8} - 8 {(4 t + 7)}^{7} \cdot 4 {(t - 3)}^{8}}{{({(4 t + 7)}^{8})}^{2}}$
27074	Factor	8xy^2z^2+12x^2y	$8 x y^{2} z^{2} + 12 x^{2} y$
27075	Graph	x>=-3y+6	$x \geq - 3 y + 6$
27076	Evaluate the Integral	integral from npi to (n+2)pi of 9cos(x) with respect to x	$\int_{n π}^{(n + 2) π} 9 \cos (x) d x$
27077	Factor	x(x-2)+2-x	$x (x - 2) + 2 - x$
27078	Simplify	( square root of 3)/( square root of 3+1)	$\frac{\sqrt{3}}{\sqrt{3 + 1}}$
27079	Solve the Inequality for x	-3x+2.5x<=1.5(x+2)	$- 3 x + 2.5 x \leq 1.5 (x + 2)$
27080	Simplify	(a^2-10a+21)/(a-7)*(a^2+a-12)/((a-3)^2)	$\frac{a^{2} - 10 a + 21}{a - 7} \cdot \frac{a^{2} + a - 12}{{(a - 3)}^{2}}$
27081	Simplify	1/x+4/5	$\frac{1}{x} + \frac{4}{5}$
27082	Solve for b	square root of b-2=10	$\sqrt{b} - 2 = 10$
27083	Graph	Graph the line with the equation y=-2x+2	Graph the line with the equation $y = - 2 x + 2$
27084	Evaluate	log base b of 4b	$\log_{b} (4 b)$
27085	Determine if Linear	y=-5(x+7)	$y = - 5 (x + 7)$
27086	Solve for y	1/4y-3(1/2y+3)=-3/4y	$\frac{1}{4} y - 3 (\frac{1}{2} y + 3) = - \frac{3}{4} y$
27087	Simplify	(3x)/(2x-8)+x/(x-4)	$\frac{3 x}{2 x - 8} + \frac{x}{x - 4}$
27088	Find the x and y Intercepts	f(x)=(3x+2)(x+1)(x^2+4)	$f (x) = (3 x + 2) (x + 1) (x^{2} + 4)$
27089	Simplify	(2x-5)^2-(x+3)(x-3)	${(2 x - 5)}^{2} - (x + 3) (x - 3)$
27090	Find the Antiderivative	(x-1)/( cube root of x)	$\frac{x - 1}{\sqrt[3]{x}}$
27091	Solve the Function Operation	f(x)=x^5-6 ; find f^-1(x)	$f (x) = x^{5} - 6$ ; find $f^{- 1} (x)$
27092	Simplify	63+48-3^3	$6 \cdot 3 + 4 \cdot 8 - 3^{3}$
27093	Find the Domain and Range	3+ square root of x-1	$3 + \sqrt{x - 1}$
27094	Solve for u	u^2=d	$u^{2} = d$
27095	Find the Exact Value	tan(pi/4)^2+2cos((8pi)/3)-sin((13pi)/6)	$\tan^{2} (\frac{π}{4}) + 2 \cos (\frac{8 π}{3}) - \sin (\frac{13 π}{6})$
27096	Rationalize the Denominator	8/( cube root of 3x^2)	$\frac{8}{\sqrt[3]{3 x^{2}}}$
27097	Solve the Inequality for v	3v>12	$3 v > 12$
27098	Evaluate the Integral	integral of 3^(2-5x) with respect to x	$\int 3^{2 - 5 x} d x$
27099	Integrate Using u-Substitution	integral of sin(3x) with respect to x	$\int \sin (3 x) d x$
27100	Simplify the Radical Expression	square root of cube root of 2/5	$\sqrt{\sqrt[3]{\frac{2}{5}}}$