Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
11001	Multiply	(x+1)(2x^2-3)	$(x + 1) (2 x^{2} - 3)$
11002	Simplify the Radical Expression	square root of 3+ square root of 3	$\sqrt{3} + \sqrt{3}$
11003	Simplify	(1/4x^2y^108)^0	${(\frac{1}{4} x^{2} y^{108})}^{0}$
11004	Graph	y+2<=3/2x	$y + 2 \leq \frac{3}{2} x$
11005	Graph	y>=-1/2x+5 x>=3	$y \geq - \frac{1}{2} x + 5$ $x \geq 3$
11006	Simplify	(x+1)(2x-3)^2	$(x + 1) {(2 x - 3)}^{2}$
11007	Simplify	(3/(8y))(4/9)	$(\frac{3}{8 y}) (\frac{4}{9})$
11008	Find the Inflection Points	f(x)=-1/10x^5-2x^4-12x^3	$f (x) = - \frac{1}{10} x^{5} - 2 x^{4} - 12 x^{3}$
11009	Solve for x	2^x=1/( natural log of 2)	$2^{x} = \frac{1}{\ln (2)}$
11010	Evaluate the Summation	2 sum from m=0 to 5 of 2m^2-7	$2 \sum_{m = 0}^{5} 2 m^{2} - 7$
11011	Convert to Radical Form	(3xy)^(1/3)	${(3 x y)}^{\frac{1}{3}}$
11012	Solve for x	(x^2)/(x^2+1)=(7x)/(x^2+1)	$\frac{x^{2}}{x^{2} + 1} = \frac{7 x}{x^{2} + 1}$
11013	Solve for x	(4x)/(5x+6)=1/6	$\frac{4 x}{5 x + 6} = \frac{1}{6}$
11014	Find the Third Derivative	y=(x-6)/(4x)	$y = \frac{x - 6}{4 x}$
11015	Evaluate	3^5*7^5=e^5	$3^{5} \cdot 7^{5} = e^{5}$
11016	Find the Area Between the Curves	y=4/3x , y=4 , y=1/16x^2	$y = \frac{4}{3} x$ , $y = 4$ , $y = \frac{1}{16} x^{2}$
11017	Find the Second Derivative	y=(x-6)/(4x)	$y = \frac{x - 6}{4 x}$
11018	Evaluate	square root of y^6=-y^3	$\sqrt{y^{6}} = - y^{3}$
11019	Simplify	((3x^3y^2z^6)/(xy^-2z^3))^2	${(\frac{3 x^{3} y^{2} z^{6}}{x y^{- 2} z^{3}})}^{2}$
11020	Find the Degree, Leading Term, and Leading Coefficient	6x^2+1/8	$6 x^{2} + \frac{1}{8}$
11021	Simplify	3(3x^-1)^-1	$3 {(3 x^{- 1})}^{- 1}$
11022	Evaluate the Limit	limit as x approaches 1 of (x^3+13x^2+24x-108)/(x^2+12x+35)	$lim_{x \to 1} \frac{x^{3} + 13 x^{2} + 24 x - 108}{x^{2} + 12 x + 35}$
11023	Find the Degree, Leading Term, and Leading Coefficient	1/9+x	$\frac{1}{9} + x$
11024	Find the Inflection Points	-1/6x^6-x^5+5x^4	$- \frac{1}{6} x^{6} - x^{5} + 5 x^{4}$
11025	Solve the Inequality for m	-9>=2/5m+7	$- 9 \geq \frac{2}{5} m + 7$
11026	Evaluate	x^3+40=25	$x^{3} + 40 = 25$
11027	Simplify	1/2q^4(4mn)q^-5	$\frac{1}{2} q^{4} (4 m n) q^{- 5}$
11028	Find the Slope	2/1	$\frac{2}{1}$
11029	Integrate By Parts	integral of e^(-2x) with respect to x	$\int e^{- 2 x} d x$
11030	Simplify	fourth root of 5^5* sixth root of 5^5	$\sqrt[4]{5^{5}} \cdot \sqrt[6]{5^{5}}$
11031	Find the Concavity	f(x)=-x^3+30x^2+63x	$f (x) = - x^{3} + 30 x^{2} + 63 x$
11032	Find the Degree, Leading Term, and Leading Coefficient	-x^5+x^3-7	$- x^{5} + x^{3} - 7$
11033	Solve for y	x^2+(y-2)^2=4	$x^{2} + {(y - 2)}^{2} = 4$
11034	Multiply	(8-4x)(2x+6)	$(8 - 4 x) (2 x + 6)$
11035	Evaluate	(4c-3d)(3c+d)	$(4 c - 3 d) (3 c + d)$
11036	Simplify	square root of 49x* fourth root of 16x^2	$\sqrt{49 x} \cdot \sqrt[4]{16 x^{2}}$
11037	Find dy/dx	x-y=xy	$x - y = x y$
11038	Evaluate the Function	h(t)=-20+11t	$h (t) = - 20 + 11 t$
11039	Add	(12+8k^3+3k-4k^2)+(5k^3+15-k+2k^2)	$(12 + 8 k^{3} + 3 k - 4 k^{2}) + (5 k^{3} + 15 - k + 2 k^{2})$
11040	Verify the Identity	8x+2x-7=10x-2-5	$8 x + 2 x - 7 = 10 x - 2 - 5$
11041	Multiply	m^8n*m^3n^5	$m^{8} n \cdot m^{3} n^{5}$
11042	Solve for x	3^x+3=30	$3^{x} + 3 = 30$
11043	Simplify	square root of (24x^6y)/(128x^4y^5)	$\sqrt{\frac{24 x^{6} y}{128 x^{4} y^{5}}}$
11044	Find the Antiderivative	1/3cos(6x)-4sin(4x)	$\frac{1}{3} \cos (6 x) - 4 \sin (4 x)$
11045	Write in Slope-Intercept Form	-4=-2y	$- 4 = - 2 y$
11046	Graph Using a Table of Values	f(x)=5^(x-6)+5	$f (x) = 5^{x - 6} + 5$
11047	Simplify	((a-1)/a-a/(1+a))/((1+a)/a+a/(1-a))	$\frac{\frac{a - 1}{a} - \frac{a}{1 + a}}{\frac{1 + a}{a} + \frac{a}{1 - a}}$
11048	Combine Like Terms	3b+5ab+7ab-23b	$3 b + 5 a b + 7 a b - 23 b$
11049	Solve for x	3x+2=10-4(x-1)	$3 x + 2 = 10 - 4 (x - 1)$
11050	Find All Complex Solutions	square root of 5x+1- square root of x=5	$\sqrt{5 x + 1} - \sqrt{x} = 5$
11051	Solve for x	3x square root of 5=21 square root of 30	$3 x \sqrt{5} = 21 \sqrt{30}$
11052	Solve for x	1/(x-4)=3/2+2/(x-4)	$\frac{1}{x - 4} = \frac{3}{2} + \frac{2}{x - 4}$
11053	Graph	graph -8x-y=8	graph $- 8 x - y = 8$
11054	Simplify	2 square root of 3(3 square root of 3+4 square root of 3)	$2 \sqrt{3} (3 \sqrt{3} + 4 \sqrt{3})$
11055	Add	(9x-5y)+(3x+2y-7)	$(9 x - 5 y) + (3 x + 2 y - 7)$
11056	Simplify	(32s^5w^2-24s^2w^3)/(8s^2w^2)	$\frac{32 s^{5} w^{2} - 24 s^{2} w^{3}}{8 s^{2} w^{2}}$
11057	Find the Roots (Zeros)	2cos(x-2pi)	$2 \cos (x - 2 π)$
11058	Multiply	- square root of 3*(- square root of 3)	$- \sqrt{3} \cdot (- \sqrt{3})$
11059	Multiply	3^-2*34	$3^{- 2} \cdot 34$
11060	Evaluate	3^-2*34	$3^{- 2} \cdot 34$
11061	Simplify/Condense	1/3(2 natural log of x+3+ natural log of x- natural log of x^2-1)	$\frac{1}{3} (2 \ln (x + 3) + \ln (x) - \ln (x^{2} - 1))$
11062	Solve Using the Quadratic Formula	8x^3-125=0	$8 x^{3} - 125 = 0$
11063	Solve for x	3(x+5)+6x=-3(1-3x)+18	$3 (x + 5) + 6 x = - 3 (1 - 3 x) + 18$
11064	Integrate Using u-Substitution	integral of x^2-x+x^-1 with respect to x	$\int x^{2} - x + x^{- 1} d x$
11065	Find the Critical Points	f(x)=x^3-3/2x^2-36x	$f (x) = x^{3} - \frac{3}{2} x^{2} - 36 x$
11066	Simplify	( square root of 1)/( square root of 4)	$\frac{\sqrt{1}}{\sqrt{4}}$
11067	Find Trig Functions Using Identities	tan(theta)=-21/20 , sin(theta)<0	$\tan (θ) = - \frac{21}{20}$ , $\sin (θ) < 0$
11068	Evaluate Using L'Hospital's Rule	L = limit as x approaches c of (f(x))/(g(x))	$L = lim_{x \to c} \frac{f (x)}{g (x)}$
11069	Convert to Radical Form	5^(1/2)*5^(1/2)	$5^{\frac{1}{2}} \cdot 5^{\frac{1}{2}}$
11070	Evaluate	cube root of 500/pi	$\sqrt[3]{\frac{500}{π}}$
11071	Simplify	(x^(1/2)y^(2/3))/(x^(1/3)y^(1/2))	$\frac{x^{\frac{1}{2}} y^{\frac{2}{3}}}{x^{\frac{1}{3}} y^{\frac{1}{2}}}$
11072	Graph	5-x<2(x-3)+5	$5 - x < 2 (x - 3) + 5$
11073	Simplify	(8^3*8^2)/(8^5)	$\frac{8^{3} \cdot 8^{2}}{8^{5}}$
11074	Simplify	(5x^2y-10xy+15xy^2)/(5xy)	$\frac{5 x^{2} y - 10 x y + 15 x y^{2}}{5 x y}$
11075	Simplify the Radical Expression	( square root of 48x^9)/( square root of 6x^3)	$\frac{\sqrt{48 x^{9}}}{\sqrt{6 x^{3}}}$
11076	Simplify	(x^3+4x^2-x-4)/(x^2+3x-4)	$\frac{x^{3} + 4 x^{2} - x - 4}{x^{2} + 3 x - 4}$
11077	Evaluate the Limit	limit as x approaches 0 of (1-cos(x)+sin(3x))/(1-cos(x)+tan(2x))	$lim_{x \to 0} \frac{1 - \cos (x) + \sin (3 x)}{1 - \cos (x) + \tan (2 x)}$
11078	Find the Antiderivative	1/(cos(x)^4)	$\frac{1}{\cos^{4} (x)}$
11079	Solve for x	-1/4x-4+3/4x=1/2x+1	$- \frac{1}{4} x - 4 + \frac{3}{4} x = \frac{1}{2} x + 1$
11080	Evaluate	(2^3(3^2-2^0))/(2^3-3^2)	$\frac{2^{3} (3^{2} - 2^{0})}{(2^{3} - 3^{2})}$
11081	Solve for y	5x-y=1/4	$5 x - y = \frac{1}{4}$
11082	Solve for x	square root of x+9- square root of 2x-7=0	$\sqrt{x + 9} - \sqrt{2 x - 7} = 0$
11083	Solve for θ	1+2cot(theta)^2+cot(theta)^4=csc(theta)^n	$1 + 2 \cot^{2} (θ) + \cot^{4} (θ) = {\csc (θ)}^{n}$
11084	Evaluate	-2(-3/4+1/8)	$- 2 (- \frac{3}{4} + \frac{1}{8})$
11085	Solve for y	4/3y+2=4y-4	$\frac{4}{3} y + 2 = 4 y - 4$
11086	Simplify	( square root of 9x^2y^4)/(4x^(-3/2)y^4)	$\frac{\sqrt{9 x^{2} y^{4}}}{4 x^{- \frac{3}{2}} y^{4}}$
11087	Simplify the Radical Expression	square root of 49(x+2y)^10	$\sqrt{49 {(x + 2 y)}^{10}}$
11088	Simplify	-9x^2y^2+5x^2y-11xy+1+4xy-13x^2y+7	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 + 4 x y - 13 x^{2} y + 7$
11089	Evaluate the Integral	integral of (x^8+x^6-x^2) with respect to x	$\int (x^{8} + x^{6} - x^{2}) d x$
11090	Evaluate the Integral	integral from 1/2 to 3 of (2-1/x) with respect to x	$\int_{\frac{1}{2}}^{3} (2 - \frac{1}{x}) d x$
11091	Solve the Inequality for x	1/6<(2x-13)/12<=2/3	$\frac{1}{6} < \frac{2 x - 13}{12} \leq \frac{2}{3}$
11092	Find the Second Term	a_n=((n+4)!)/((n+5)!)	$a_{n} = \frac{(n + 4)!}{(n + 5)!}$
11093	Find the Derivative - d/dX	X^2+2x+1	$X^{2} + 2 x + 1$
11094	Find the Antiderivative	f(x)=e^x+1/x	$f (x) = e^{x} + \frac{1}{x}$
11095	Find the Exact Value	arctan(( square root of 3)/1)	$\arctan (\frac{\sqrt{3}}{1})$
11096	Find the Derivative - d/dx	xarctanh(x)+ natural log of square root of 1-x^2	$x arctanh (x) + \ln (\sqrt{1 - x^{2}})$
11097	Solve the Function Operation	f(x)=3(x-9) ; find f^-1(x)	$f (x) = 3 (x - 9)$ ; find $f^{- 1} (x)$
11098	Simplify	w^-1(u^6v^-3w^-1)^-1	$w^{- 1} {(u^{6} v^{- 3} w^{- 1})}^{- 1}$
11099	Simplify	( square root of z square root of y square root of x)^8	${(\sqrt{z \sqrt{y \sqrt{x}}})}^{8}$
11100	Find the Domain	(x^3+9x^2-10x)/(x^3-9x^2-10x)	$\frac{x^{3} + 9 x^{2} - 10 x}{x^{3} - 9 x^{2} - 10 x}$