Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
13001	Solve the Function Operation	If f(x)=4x-3 ; what is f(x)^-1 ?	If $f (x) = 4 x - 3$ ; what is $f {(x)}^{- 1}$ ?
13002	Find the Maximum/Minimum Value	f(x)=x^(2/3)	$f (x) = x^{\frac{2}{3}}$
13003	Simplify	(2/(2^2))^2	${(\frac{2}{2^{2}})}^{2}$
13004	Find the Holes in the Graph	f(x)=(x^3-2x^2-8x)/(3x^2-27)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{3 x^{2} - 27}$
13005	Subtract	9x^2+7x-2-8x-10	$9 x^{2} + 7 x - 2 - 8 x - 10$
13006	Simplify	(2^3)/(3^3)	$\frac{2^{3}}{3^{3}}$
13007	Find the Reference Angle	sin(pi/6)	$\sin (\frac{π}{6})$
13008	Simplify	fourth root of 1/4	$\sqrt[4]{\frac{1}{4}}$
13009	Find the x and y Intercepts	f(x)=(x^3-2x^2-8x)/(3x^2-27)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{3 x^{2} - 27}$
13010	Solve the Function Operation	f(x)=-2x-5 g(x)=x^2+6x+2 Find: (gof)(x)	$f (x) = - 2 x - 5$ $g (x) = x^{2} + 6 x + 2$ Find: $((g \circ f)) (x)$
13011	Find the Roots (Zeros)	x^4+2x^3-4x^2+x-10=0	$x^{4} + 2 x^{3} - 4 x^{2} + x - 10 = 0$
13012	Find the Derivative - d/dx	y=arccoth(cosh(x))	$y = arccoth (\cosh (x))$
13013	Solve the System of Equations	y=x^2+2x-19 7y-14x=-21	$y = x^{2} + 2 x - 19$ $7 y - 14 x = - 21$
13014	Simplify	(x^2+14x+40)/(9x-x^2)3/(x^2+6x+8)(x^2-7x-18)/(-x-10)	$\frac{x^{2} + 14 x + 40}{9 x - x^{2}} \cdot \frac{3}{x^{2} + 6 x + 8} \cdot \frac{x^{2} - 7 x - 18}{- x - 10}$
13015	Simplify the Radical Expression	- square root of -7	$- \sqrt{- 7}$
13016	Eliminate the Parameter	x=9t^2 and y=27t^3	$x = 9 t^{2}$ and $y = 27 t^{3}$
13017	Simplify the Radical Expression	(x^(5/4))^2	${(x^{\frac{5}{4}})}^{2}$
13018	Combine Like Terms	(5a+4)-(5a+3)	$(5 a + 4) - (5 a + 3)$
13019	Convert to Interval Notation	-5x-3>=2 and 4x-2>=5	$- 5 x - 3 \geq 2$ and $4 x - 2 \geq 5$
13020	Simplify	(-3x^-3yz^0)^-6	${(- 3 x^{- 3} y z^{0})}^{- 6}$
13021	Simplify	(3x^-3)^-4x^-4	${(3 x^{- 3})}^{- 4} x^{- 4}$
13022	Solve for x	-(x+1)/3=(x-3)/(x-6)	$- \frac{x + 1}{3} = \frac{x - 3}{x - 6}$
13023	Simplify	i^16+i^10+i^8-i^14	$i^{16} + i^{10} + i^{8} - i^{14}$
13024	Find the Holes in the Graph	(-3x^2+21x-36)/(5x-20)	$\frac{- 3 x^{2} + 21 x - 36}{5 x - 20}$
13025	Find the Intersection	[-16,12) intersect (11,18)	$[- 16, 12) \cap (11, 18)$
13026	Solve by Factoring	27x^3+27x^2+9x+1=0	$27 x^{3} + 27 x^{2} + 9 x + 1 = 0$
13027	Solve the Inequality for z	-5z+1<-14	$- 5 z + 1 < - 14$
13028	Find the x and y Intercepts	f(x)=-1/4e^(x-3)	$f (x) = - \frac{1}{4} e^{x - 3}$
13029	Graph	f(x)=3x+3 g(x)=x^2+4x+4	$f (x) = 3 x + 3$ $g (x) = x^{2} + 4 x + 4$
13030	Find the Slope	(-1,-6) and (-5,10)	$(- 1, - 6)$ and $(- 5, 10)$
13031	Find dx/dy	x^2y+xy^2=3x	$x^{2} y + x y^{2} = 3 x$
13032	Simplify	(4x^3y^-3)/(2x^3x^-1y^2)	$\frac{4 x^{3} y^{- 3}}{2 x^{3} x^{- 1} y^{2}}$
13033	Solve for x	(2x+3)/3=6/(x-1)	$\frac{2 x + 3}{3} = \frac{6}{x - 1}$
13034	Simplify	i^13i^29i^6	$i^{13} \cdot i^{29} \cdot i^{6}$
13035	Multiply	(a^3+a^2b)/(5a)*25/(3b+3a)	$\frac{a^{3} + a^{2} b}{5 a} \cdot \frac{25}{3 b + 3 a}$
13036	Simplify	(4x)/(x^2+3x)-5/(x+3)	$\frac{4 x}{x^{2} + 3 x} - \frac{5}{x + 3}$
13037	Solve the Inequality for h	4(3h-7)<=20(h-1)	$4 (3 h - 7) \leq 20 (h - 1)$
13038	Describe the Transformation	y=-3^x-2	$y = - 3^{x} - 2$
13039	Solve by Completing the Square	1=x^2-6x	$1 = x^{2} - 6 x$
13040	Subtract	4 1/2-3 5/6	$4 \frac{1}{2} - 3 \frac{5}{6}$
13041	Solve for a	a=3500(1+(-0.24))^9.5	$a = 3500 {(1 + (- 0.24))}^{9.5}$
13042	Solve for x	(3x-8)/(5x)+(3x+4)/x=3	$\frac{3 x - 8}{5 x} + \frac{3 x + 4}{x} = 3$
13043	Simplify	((12^5)/(12^-5))^0	${(\frac{12^{5}}{12^{- 5}})}^{0}$
13044	Solve for r	V=(2pir)/t	$V = \frac{2 π r}{t}$
13045	Evaluate	(4x)/(9x^(1/2))	$\frac{4 x}{9 x^{\frac{1}{2}}}$
13046	Simplify	(4x^3*2x^4y^10)/(50x^9y^4)	$\frac{4 x^{3} \cdot 2 x^{4} y^{10}}{50 x^{9} y^{4}}$
13047	Solve for g	b=(tr-g)/r	$b = \frac{t r - g}{r}$
13048	Solve the Inequality for g	6(-6g+6)>-2(19g-17)	$6 (- 6 g + 6) > - 2 (19 g - 17)$
13049	Simplify	square root of 25x^9* cube root of 27x^4	$\sqrt{25 x^{9}} \cdot \sqrt[3]{27 x^{4}}$
13050	Solve for D	C=1-5/2D	$C = 1 - \frac{5}{2} D$
13051	Simplify	(6 square root of 10)/(8 square root of 6)	$\frac{6 \sqrt{10}}{8 \sqrt{6}}$
13052	Find the Exact Value	4x-6+x+3	$4 x - 6 + x + 3$
13053	Divide Using Synthetic Division	(9x^4-3x^3-20x^2+24x+32)÷(3x+4)	$(9 x^{4} - 3 x^{3} - 20 x^{2} + 24 x + 32) \div (3 x + 4)$
13054	Find the x and y Intercepts	y=5(1/2)^x-3	$y = 5 {(\frac{1}{2})}^{x} - 3$
13055	Simplify	5a32b	$5 a \cdot 3 \cdot 2 b$
13056	Simplify	(-1)^(1/2)	${(- 1)}^{\frac{1}{2}}$
13057	Solve the Inequality for p	4p<32	$4 p < 32$
13058	Solve the Inequality for x	-7\|x+12\|<=-14	$- 7 \| x + 12 \| \leq - 14$
13059	Simplify	square root of 3* fifth root of 3^2	$\sqrt{3} \cdot \sqrt[5]{3^{2}}$
13060	Simplify	cube root of fifth root of 6	$\sqrt[3]{\sqrt[5]{6}}$
13061	Find All Complex Solutions	2^(x+3)+2^x=72	$2^{x + 3} + 2^{x} = 72$
13062	Integrate Using u-Substitution	integral of cos(x)^3sin(x) with respect to x	$\int \cos^{3} (x) \sin (x) d x$
13063	Evaluate the Limit	limit as x approaches -2 of 1/(\|x+2\|)+x^2	$lim_{x \to - 2} \frac{1}{\| x + 2 \|} + x^{2}$
13064	Factor	2x^2y-4xy+6xy^2	$2 x^{2} y - 4 x y + 6 x y^{2}$
13065	Solve for x	ax+2c=bx+3d	$a x + 2 c = b x + 3 d$
13066	Multiply	5a2a(a^3-3a^2+a)	$5 a \cdot 2 a \cdot (a^{3} - 3 a^{2} + a)$
13067	Determine if (-1,-4) is a Solution	x+y<=-3 , (-1,-4)	$x + y \leq - 3$ , $(- 1, - 4)$
13068	Evaluate	3(x-6)=100+x	$3 (x - 6) = 100 + x$
13069	Convert to Radical Form	x^(3/6)	$x^{\frac{3}{6}}$
13070	Integrate Using u-Substitution	integral of 5/(x^2) with respect to x	$\int \frac{5}{x^{2}} d x$
13071	Find the Derivative - d/dx	x+ natural log of x	$x + \ln (x)$
13072	Evaluate	1000000(1+0.07)^1	$1000000 {(1 + 0.07)}^{1}$
13073	Find Where Increasing/Decreasing	f(x)=x^4+x^3-4x^2+5	$f (x) = x^{4} + x^{3} - 4 x^{2} + 5$
13074	Simplify	((c^-2)^3d^4)/(d^-2)	$\frac{{(c^{- 2})}^{3} d^{4}}{d^{- 2}}$
13075	Solve for x	(5x-2)/(3x)=7	$\frac{5 x - 2}{3 x} = 7$
13076	Graph	7x-9y<5 -2x+4y>5	$7 x - 9 y < 5$ $- 2 x + 4 y > 5$
13077	Solve for k	10k^2-10k+2=-K	$10 k^{2} - 10 k + 2 = - K$
13078	Simplify the Radical Expression	(x^16y^20z^8)^(1/4)	${(x^{16} y^{20} z^{8})}^{\frac{1}{4}}$
13079	Find the Roots (Zeros)	(2x^2+5x-12)/(x+4)	$\frac{2 x^{2} + 5 x - 12}{x + 4}$
13080	Find Amplitude, Period, and Phase Shift	y=sin(1/3(x+pi/6))	$y = \sin (\frac{1}{3} (x + \frac{π}{6}))$
13081	Solve for w	w^2=-18w	$w^{2} = - 18 w$
13082	Write in Standard Form	(-9x^2-2x)-(-9x^2-3x)	$(- 9 x^{2} - 2 x) - (- 9 x^{2} - 3 x)$
13083	Graph	y=\|cos(pix)\|	$y = \| \cos (π x) \|$
13084	Solve the System of Equations	x^2+y^2=10 y=2x-5	$x^{2} + y^{2} = 10$ $y = 2 x - 5$
13085	Solve the Function Operation	f(x)=-4 if 2<=x<6; 4 if x=6; -(x-7)^2 if x>6 Find f(3)	$f (x) = {\begin{cases} - 4 & 2 \leq x < 6 \\ 4 & x = 6 \\ - {(x - 7)}^{2} & x > 6 \end{cases}$ Find $f (3)$
13086	Graph Using a Table of Values	Y=2x^2+1	$Y = 2 x^{2} + 1$
13087	Solve for x	natural log of 3+ natural log of 4x=4	$\ln (3) + \ln (4 x) = 4$
13088	Solve for x	(x-12)÷6=12	$(x - 12) \div 6 = 12$
13089	Solve for x	-(2x+2)-1=-x-(x+3)	$- (2 x + 2) - 1 = - x - (x + 3)$
13090	Simplify	(5x^(1/2))/(4x^(2/3))	$\frac{5 x^{\frac{1}{2}}}{4 x^{\frac{2}{3}}}$
13091	Divide	((x^2-16)/(x-2))÷((x^2+3x-4)/(x-8))	$\frac{x^{2} - 16}{x - 2} \div \frac{x^{2} + 3 x - 4}{x - 8}$
13092	Find the LCD	3/(2x+10) and 1/(6x)	$\frac{3}{2 x + 10}$ and $\frac{1}{6 x}$
13093	Combine Like Terms	10x+5y-6x-2y	$10 x + 5 y - 6 x - 2 y$
13094	Solve the Inequality for x	3x+8>=4x	$3 x + 8 \geq 4 x$
13095	Solve for P	A-P=Prt	$A - P = P r t$
13096	Multiply	-6i*(6-2i)	$- 6 i \cdot (6 - 2 i)$
13097	Solve the Inequality for x	5.3>x+2/5	$5.3 > x + \frac{2}{5}$
13098	Evaluate	4(5)^4+24(5)^(1/3)	$4 {(5)}^{4} + 24 {(5)}^{\frac{1}{3}}$
13099	Solve the Inequality for d	-2<=(2d-2)/4<3	$- 2 \leq \frac{2 d - 2}{4} < 3$
13100	Evaluate	square root of x+2=5	$\sqrt{x + 2} = 5$