Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
29001	Find the Inverse	asin (x)+15	asin $(x) + 15$
29002	Multiply	-3x(5x+1)(8-2x)	$- 3 x (5 x + 1) (8 - 2 x)$
29003	Solve for p	2p-5=p+5	$2 p - 5 = p + 5$
29004	Multiply	4x^2y*-2xy	$4 x^{2} y \cdot - 2 x y$
29005	Solve the Rational Equation for n	5/(n^3+5n^2)=4/(n+5)+1/(n^2)	$\frac{5}{n^{3} + 5 n^{2}} = \frac{4}{n + 5} + \frac{1}{n^{2}}$
29006	Find the y-intercept	f(x)=9x+5	$f (x) = 9 x + 5$
29007	Simplify	2 5/8x-5 3/4x+2	$2 \frac{5}{8} x - 5 \frac{3}{4} x + 2$
29008	Solve for x	-4x+6<=2x	$- 4 x + 6 \leq 2 x$
29009	Multiply	(-3m^2-2mn-8n^2)(8m^2+4mn+n^2)	$(- 3 m^{2} - 2 m n - 8 n^{2}) (8 m^{2} + 4 m n + n^{2})$
29010	Multiply	(x^2)/(4x+8)*(x^2-4)/(x^2+6x-16)	$\frac{x^{2}}{4 x + 8} \cdot \frac{x^{2} - 4}{x^{2} + 6 x - 16}$
29011	Find the Roots (Zeros)	(x^2+6x+8)/(x+4)	$\frac{x^{2} + 6 x + 8}{x + 4}$
29012	Multiply	(x^3(x+5))/(x-9)*((x-9)(x+8))/(3x^3)	$\frac{x^{3} (x + 5)}{x - 9} \cdot \frac{(x - 9) (x + 8)}{3 x^{3}}$
29013	Solve for x	( log base 5 of x)^2-7 log base 5 of x+12=0	${\log_{5}}^{2} (x) - 7 \log_{5} (x) + 12 = 0$
29014	Find the Roots (Zeros)	3x(x+4)(2x-3)(x-9)	$3 x (x + 4) (2 x - 3) (x - 9)$
29015	Simplify	- square root of (x^2)/4	$- \sqrt{\frac{x^{2}}{4}}$
29016	Solve for x	3(x-5)<=x-8	$3 (x - 5) \leq x - 8$
29017	Multiply	(4r^0)^4	${(4 r^{0})}^{4}$
29018	Find the Parabola with Focus (5,-5) and Directrix y=-4	(5,-5) y=-4	$(5, - 5)$ $y = - 4$
29019	Find the Maximum/Minimum Value	y=-1+3sin(x-pi/4)	$y = - 1 + 3 \sin (x - \frac{π}{4})$
29020	Find the Asymptotes	((x+8)(x+5))/(3(x+5))	$\frac{(x + 8) (x + 5)}{3 (x + 5)}$
29021	Solve Over the Interval	cot(x)=-1 , (3pi)/2<=x<=2pi	$\cot (x) = - 1$ , $\frac{3 π}{2} \leq x \leq 2 π$
29022	Simplify	(2x^3+x^2-3x)/(3x^2-5x+2)	$\frac{2 x^{3} + x^{2} - 3 x}{3 x^{2} - 5 x + 2}$
29023	Simplify	(2pq^2r^3)(5q^3r^4s)	$(2 p q^{2} r^{3}) (5 q^{3} r^{4} s)$
29024	Multiply	(y^2-10y+9)/(y^2-1)*(y+4)/(y^2-5y-36)	$\frac{y^{2} - 10 y + 9}{y^{2} - 1} \cdot \frac{y + 4}{y^{2} - 5 y - 36}$
29025	Solve the Inequality for x	x^2>2	$x^{2} > 2$
29026	Factor	x^2+ax-a^2y-axy	$x^{2} + a x - a^{2} y - a x y$
29027	Simplify	2/3(6x+3)	$\frac{2}{3} (6 x + 3)$
29028	Divide	(r^4-r^2+4)÷(r^2-r+2)	$(r^{4} - r^{2} + 4) \div (r^{2} - r + 2)$
29029	Graph	x=(y+1)^3-2	$x = {(y + 1)}^{3} - 2$
29030	Solve the Inequality for z	6z+4-8+2z<-20	$6 z + 4 - 8 + 2 z < - 20$
29031	Solve for y	(3y^(3/2))^2=576x	${(3 y^{\frac{3}{2}})}^{2} = 576 x$
29032	Write in Slope-Intercept Form	3x-1/2y=2	$3 x - \frac{1}{2} y = 2$
29033	Simplify	1/4(36a+b)	$\frac{1}{4} (36 a + b)$
29034	Simplify	limit as x approaches 2 of (x^5-32)/(x^3-8)	$lim_{x \to 2} \frac{x^{5} - 32}{x^{3} - 8}$
29035	Find Where Increasing/Decreasing	f(x)=-1/2 square root of x	$f (x) = - \frac{1}{2} \sqrt{x}$
29036	Find the x and y Intercepts	f(x)=-x^4+x^3+2x^2	$f (x) = - x^{4} + x^{3} + 2 x^{2}$
29037	Write the Fraction in Simplest Form	(-2(v^-1)^2)/(-5v)	$\frac{- 2 {(v^{- 1})}^{2}}{- 5 v}$
29038	Graph	h(p)=6p-p^3-2	$h (p) = 6 p - p^{3} - 2$
29039	Simplify	(3 square root of 5)/( square root of 8)	$\frac{3 \sqrt{5}}{\sqrt{8}}$
29040	Graph	f(x)=2x+2\|x\|	$f (x) = 2 x + 2 \| x \|$
29041	Solve the Function Operation	f(6) if f(x)=4x	$f (6)$ if $f (x) = 4 x$
29042	Solve for x	2(3x-4)=4(1/2x-8)	$2 (3 x - 4) = 4 (\frac{1}{2} x - 8)$
29043	Solve the System of Equations	12y-8xy-3y^2=0 12x-6xy-4x^2=0	$12 y - 8 x y - 3 y^{2} = 0$ $12 x - 6 x y - 4 x^{2} = 0$
29044	Simplify	(4-x square root of 7)^2	${(4 - x \sqrt{7})}^{2}$
29045	Write in Standard Form	(4x^2+7x-5)(-3x^2+x-1)	$(4 x^{2} + 7 x - 5) (- 3 x^{2} + x - 1)$
29046	Solve for p	5/12+p=7/12	$\frac{5}{12} + p = \frac{7}{12}$
29047	Simplify	(e^(1/2))(e^(1/2))	$(e^{\frac{1}{2}}) (e^{\frac{1}{2}})$
29048	Graph	h(x)=-3x^3+x^2-x+3	$h (x) = - 3 x^{3} + x^{2} - x + 3$
29049	Solve for y	(3^3)/(3^y)=1/9	$\frac{3^{3}}{3^{y}} = \frac{1}{9}$
29050	Find the Midpoint	What is the midpoint of the points (0,5) and (0,-3) ?	What is the midpoint of the points $(0, 5)$ and $(0, - 3)$ ?
29051	Evaluate the Function	f(x)=5x-2x^3-2 is concave down at x=1	$f (x) = 5 x - 2 x^{3} - 2$ is concave down at $x = 1$
29052	Find the Derivative - d/dx	xcos(pix)	$x \cos (π x)$
29053	Find All Complex Solutions	9z^2-30z+26=1	$9 z^{2} - 30 z + 26 = 1$
29054	Find the x and y Intercepts	f(x)=-1/2 square root of x	$f (x) = - \frac{1}{2} \sqrt{x}$
29055	Find the Inflection Points	1/4x^4+5x^3+75/2x^2	$\frac{1}{4} x^{4} + 5 x^{3} + \frac{75}{2} x^{2}$
29056	Evaluate the Integral	integral of ((x^4)/2+(5x^3)/3-2x) with respect to x	$\int (\frac{x^{4}}{2} + \frac{5 x^{3}}{3} - 2 x) d x$
29057	Solve by Factoring	16x^2+4=0	$16 x^{2} + 4 = 0$
29058	Solve the Rational Equation for x	2/(x-3)-4/(x+3)=8/(x^2-9)	$\frac{2}{x - 3} - \frac{4}{x + 3} = \frac{8}{x^{2} - 9}$
29059	Simplify the Radical Expression	(x^3)^(3/2)	${(x^{3})}^{\frac{3}{2}}$
29060	Evaluate	(10c^6d^-5)(2c^-5d^4)	$(10 c^{6} d^{- 5}) (2 c^{- 5} d^{4})$
29061	Find dy/dx	y=x/(2x+1)	$y = \frac{x}{2 x + 1}$
29062	Solve for x	x/( cube root of 0.5t) = cube root of 0.2t	$\frac{x}{\sqrt[3]{0.5 t}} = \sqrt[3]{0.2 t}$
29063	Find the Antiderivative	f(x)=(e^((a+1)x))/a	$f (x) = \frac{e^{(a + 1) x}}{a}$
29064	Write in Slope-Intercept Form	(-6,-4) and (12,11)	$(- 6, - 4)$ and $(12, 11)$
29065	Simplify	(4x^2)/(-3x^(4/3))	$\frac{4 x^{2}}{- 3 x^{\frac{4}{3}}}$
29066	Simplify	((x^2)/y)^-3	${(\frac{x^{2}}{y})}^{- 3}$
29067	Evaluate	(8a^(m+3))^3*(1/4a^(1-m))^6	${(8 a^{m + 3})}^{3} \cdot {(\frac{1}{4} a^{1 - m})}^{6}$
29068	Add	2 square root of 7x+3 square root of 63x	$2 \sqrt{7 x} + 3 \sqrt{63 x}$
29069	Simplify the Radical Expression	square root of -10* square root of -10	$\sqrt{- 10} \cdot \sqrt{- 10}$
29070	Evaluate the Integral	integral from 0 to pi/2 of tan(x)^2sec(x)^2 with respect to x	$\int_{0}^{\frac{π}{2}} \tan^{2} (x) \sec^{2} (x) d x$
29071	Find Where Increasing/Decreasing	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
29072	Graph	1/2a-5>=-3 or -6a-14<=-56	$\frac{1}{2} a - 5 \geq - 3$ or $- 6 a - 14 \leq - 56$
29073	Evaluate the Integral	integral from 1 to 4 of (4x^2+ square root of x) with respect to x	$\int_{1}^{4} (4 x^{2} + \sqrt{x}) d x$
29074	Evaluate the Limit	limit as x approaches 0 of ((-4+x)^2-16)/(-2x)	$lim_{x \to 0} \frac{{(- 4 + x)}^{2} - 16}{- 2 x}$
29075	Evaluate	25% of 500	$25 %$ of $500$
29076	Find the Derivative - d/dx	cos(5x^2-x)	$\cos (5 x^{2} - x)$
29077	Solve for x	6+ fifth root of 249-2x=7	$6 + \sqrt[5]{249 - 2 x} = 7$
29078	Graph	f(x)=x^2\|x\|	$f (x) = x^{2} \| x \|$
29079	Solve the Inequality for x	x^3(3x-5)(4x+9)>0	$x^{3} (3 x - 5) (4 x + 9) > 0$
29080	Evaluate Using the Given Value	10x if x=2/5	$10 x$ if $x = \frac{2}{5}$
29081	Solve for x	5/(x-3)+1=30/(x^2-9)	$\frac{5}{x - 3} + 1 = \frac{30}{x^{2} - 9}$
29082	Solve for y	3/5y=-6x	$\frac{3}{5} y = - 6 x$
29083	Divide	(5y^5-15y^4+25y^2)÷(5y)	$(5 y^{5} - 15 y^{4} + 25 y^{2}) \div (5 y)$
29084	Solve for y	(y-a)/b=(x+b)/c	$\frac{y - a}{b} = \frac{x + b}{c}$
29085	Simplify	((9x^2+27x+18)/(x^2+8x+12)*(x+6)/(x+1))÷((x^2+7x+6)/(x^2+7x+6))	$\frac{9 x^{2} + 27 x + 18}{x^{2} + 8 x + 12} \cdot \frac{x + 6}{x + 1} \div \frac{x^{2} + 7 x + 6}{x^{2} + 7 x + 6}$
29086	Evaluate	2/a+1/b=13/15	$\frac{2}{a} + \frac{1}{b} = \frac{13}{15}$
29087	Evaluate the Limit	limit as x approaches infinity of (x^-3+3x^-2+1)/(x^-2+x^-1+3)	$lim_{x \to \infty} \frac{x^{- 3} + 3 x^{- 2} + 1}{x^{- 2} + x^{- 1} + 3}$
29088	Find dy/dx	-y^2+3x^3-xy=0	$- y^{2} + 3 x^{3} - x y = 0$
29089	Find All Complex Solutions	square root of 6x-4=3	$\sqrt{6 x - 4} = 3$
29090	Find the Derivative of the Integral	F(x) = integral from x to 0 of square root of t^2+25 with respect to t	$F (x) = \int_{x}^{0} \sqrt{t^{2} + 25} d t$
29091	Simplify the Radical Expression	16 root of (m^-5)/(m^-1)	$\sqrt[16]{\frac{m^{- 5}}{m^{- 1}}}$
29092	Add	r/(r^2-4)+1/(r^2-6r+8)	$\frac{r}{r^{2} - 4} + \frac{1}{r^{2} - 6 r + 8}$
29093	Simplify	( sixth root of k)(k)^10	$(\sqrt[6]{k}) {(k)}^{10}$
29094	Find the Domain	((x+5)/(x^2-5x)-x/(x^2-25))*(x^2-25)/5	$(\frac{x + 5}{x^{2} - 5 x} - \frac{x}{x^{2} - 25}) \cdot \frac{x^{2} - 25}{5}$
29095	Find the Domain	log base 5 of 5^(x+1)-20=x	$\log_{5} (5^{x + 1} - 20) = x$
29096	Simplify	2d^12*(d^-2)/(d^6)	$2 d^{12} \cdot \frac{d^{- 2}}{d^{6}}$
29097	Simplify	(3^-1m^4(m^2)^-1)/(3^2m^-2)	$\frac{3^{- 1} m^{4} {(m^{2})}^{- 1}}{3^{2} m^{- 2}}$
29098	Evaluate	2(2/3)^2(-1/2)^3	$2 {(\frac{2}{3})}^{2} {(- \frac{1}{2})}^{3}$
29099	Evaluate Using the Given Value	(y+x)÷2+x ; use x=1 ; and y=1	$(y + x) \div 2 + x$ ; use $x = 1$ ; and $y = 1$
29100	Find the Inflection Points	3/10x^5+5x^4	$\frac{3}{10} x^{5} + 5 x^{4}$