Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
37001	Convert to Radical Form	45^(3/2)*45^2	$45^{\frac{3}{2}} \cdot 45^{2}$
37002	Evaluate	8*4+9-9+18	$8 \cdot 4 + 9 - 9 + 18$
37003	Solve by Graphing	y=-3 y=x-3	$y = - 3$ $y = x - 3$
37004	Simplify	limit as x approaches 3 from the right of (x-3)/(\|x^3-3x^2\|)	$lim_{x \to 3^{+}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$
37005	Find the Slope	(6,-6) and (8,8)	$(6, - 6)$ and $(8, 8)$
37006	Solve the Inequality for p	-2p>=10	$- 2 p \geq 10$
37007	Evaluate	((3pi)/2)^2	${(\frac{3 π}{2})}^{2}$
37008	Evaluate the Integral	integral of (4+3x^3-2 square root of x) with respect to x	$\int (4 + 3 x^{3} - 2 \sqrt{x}) d x$
37009	Find the Antiderivative	natural log of 1-x	$\ln (1 - x)$
37010	Simplify	7t^11u^3(-4t^-9)^2u^-5	$7 t^{11} u^{3} {(- 4 t^{- 9})}^{2} u^{- 5}$
37011	Find the Multiples	multiples of 8	multiples of $8$
37012	Write in Standard Form	i(8-i)	$i (8 - i)$
37013	Integrate By Parts	integral of xcsc(x)^2 with respect to x	$\int x \csc^{2} (x) d x$
37014	Solve the Function Operation	If f(x)=2x and g(x)=2x^2-1 find g(f(x))	If $f (x) = 2 x$ and $g (x) = 2 x^{2} - 1$ find $g (f (x))$
37015	Find the Domain and Range	log base 8 of \|x\|	$\log_{8} (\| x \|)$
37016	Subtract	x/(x^2+6x-16)-5/(x+8)	$\frac{x}{x^{2} + 6 x - 16} - \frac{5}{x + 8}$
37017	Simplify	(9cd^5)(2c^3d)^2	$(9 c d^{5}) {(2 c^{3} d)}^{2}$
37018	Graph	f(x)=-2x-5 g(x)=x-2	$f (x) = - 2 x - 5$ $g (x) = x - 2$
37019	Simplify	(a^2b^2)/( square root of c)	$\frac{a^{2} b^{2}}{\sqrt{c}}$
37020	Simplify	log base 2 of 36-2 log base 2 of 3	$\log_{2} (36) - 2 \log_{2} (3)$
37021	Simplify	(1+8r^3-2r^2)+(6r^3+6r^2-1)	$(1 + 8 r^{3} - 2 r^{2}) + (6 r^{3} + 6 r^{2} - 1)$
37022	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (x^2-1)/(sin(pix))	$lim_{x \to 1} \frac{x^{2} - 1}{\sin (π x)}$
37023	Simplify	- square root of 144* square root of -9	$- \sqrt{144} \cdot \sqrt{- 9}$
37024	Determine if Parallel	Are the lines defined by the equations y+5x=1 and y=5x+4 parallel?	Are the lines defined by the equations $y + 5 x = 1$ and $y = 5 x + 4$ parallel?
37025	Solve the System of Inequalities	4m<=-32 and m+28>23	$4 m \leq - 32$ and $m + 28 > 23$
37026	Solve for x	1/3(6x+30)=4x+2(x-7)	$\frac{1}{3} (6 x + 30) = 4 x + 2 (x - 7)$
37027	Add	(ab^2+13b-4a)+(3ab^2+a+7b)	$(a b^{2} + 13 b - 4 a) + (3 a b^{2} + a + 7 b)$
37028	Evaluate	17(a^(2n+1))^42a^(7n-12)	$17 \cdot {(a^{2 n + 1})}^{4} \cdot 2 a^{7 n - 12}$
37029	Find dy/dx	y^2=2+xy	$y^{2} = 2 + x y$
37030	Simplify	(13*2-5^2)/((3^2-(-4))^2)	$\frac{13 \cdot 2 - 5^{2}}{{(3^{2} - (- 4))}^{2}}$
37031	Find the x and y Intercepts	f(x)=2(x^2+1)(x^2-3)	$f (x) = 2 (x^{2} + 1) (x^{2} - 3)$
37032	Find dy/dx	y=arcsin(tan(x^3))	$y = \arcsin (\tan (x^{3}))$
37033	Simplify	((x^(1/2)y^3)/(y^(3/2)))^3	${(\frac{x^{\frac{1}{2}} y^{3}}{y^{\frac{3}{2}}})}^{3}$
37034	Solve for x	3-1/2x<=11	$3 - \frac{1}{2} x \leq 11$
37035	Find the x and y Intercepts	x^2+4y^2+16x-80y+320=0	$x^{2} + 4 y^{2} + 16 x - 80 y + 320 = 0$
37036	Find the Antiderivative	f(t)=(2t-4+4 square root of t)/( square root of t)	$f (t) = \frac{2 t - 4 + 4 \sqrt{t}}{\sqrt{t}}$
37037	Solve for x	log of 3x+ log of x-4 = log of 15	$\log (3 x) + \log (x - 4) = \log (15)$
37038	Solve Over the Interval	sin(2x)=1 , 0<=x<2pi	$\sin (2 x) = 1$ , $0 \leq x < 2 π$
37039	Find the Directrix	x^2-2x+y-1=0	$x^{2} - 2 x + y - 1 = 0$
37040	Solve the Absolute Value Inequality for x	4=\|-5x+11\|	$4 = \| - 5 x + 11 \|$
37041	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-6) and has a slope of -1 ?	What is the equation of the line that passes through the point $(2, - 6)$ and has a slope of $- 1$ ?
37042	Solve the System of Inequalities	x<5 and x>-4	$x < 5$ and $x > - 4$
37043	Evaluate the Integral	integral of (x^4+x^3-x^2) with respect to x	$\int (x^{4} + x^{3} - x^{2}) d x$
37044	Find the Antiderivative	f(x)=e^(3x+1)	$f (x) = e^{3 x + 1}$
37045	Solve for k	kx^2+x+100k=0	$k x^{2} + x + 100 k = 0$
37046	Find the Derivative - d/da	x^4+4x^by+ax^2y^2+4xy^3+y^4	$x^{4} + 4 x^{b} y + a x^{2} y^{2} + 4 x y^{3} + y^{4}$
37047	Evaluate the Integral	integral of (7u^(3/2)+2u^(1/2)) with respect to u	$\int (7 u^{\frac{3}{2}} + 2 u^{\frac{1}{2}}) d u$
37048	Solve the Inequality for x	x-12<-2x	$x - 12 < - 2 x$
37049	Find the Domain	(2/x)/(x/(x-1))	$\frac{\frac{2}{x}}{\frac{x}{x - 1}}$
37050	Evaluate the Summation	5 sum from i=0 to 3 of i^2-4i	$5 \sum_{i = 0}^{3} i^{2} - 4 i$
37051	Describe the Transformation	y=-4+3 cube root of x+6	$y = - 4 + 3 \sqrt[3]{x + 6}$
37052	Solve for d	3(d+12)=8-4d	$3 (d + 12) = 8 - 4 d$
37053	Write the Fraction in Simplest Form	(12z^-6)/(4(b^-4z^-4)^-2)	$\frac{12 z^{- 6}}{4 {(b^{- 4} z^{- 4})}^{- 2}}$
37054	Graph	f(x)>=-\|x-5\|-3	$f (x) \geq - \| x - 5 \| - 3$
37055	Find the Antiderivative	f(x)=4+sin(x)	$f (x) = 4 + \sin (x)$
37056	Convert to a Decimal	325deg	$325$ degrees
37057	Find the Inverse	10x^(1/3)	$10 x^{\frac{1}{3}}$
37058	Simplify	((x^2+x)/(x^2-4x-5))÷((3x^2)/(x-5))	$\frac{x^{2} + x}{x^{2} - 4 x - 5} \div \frac{3 x^{2}}{x - 5}$
37059	Solve for P	E=5.00S+2.00P	$E = 5 S + 2 P$
37060	Evaluate the Function	f(x)=-x^6+5x^4+8x^3+2x-7 , x=-6	$f (x) = - x^{6} + 5 x^{4} + 8 x^{3} + 2 x - 7$ , $x = - 6$
37061	Solve for m	9-5m^3=-86	$9 - 5 m^{3} = - 86$
37062	Simplify	-(5c^-2)/(-4(c^4)^4)	$- \frac{5 c^{- 2}}{- 4 {(c^{4})}^{4}}$
37063	Write in Standard Form	f(x)=2-x^4+8x	$f (x) = 2 - x^{4} + 8 x$
37064	Evaluate	(csc(x)cos(x))/(tan(x)+cot(x))	$\frac{\csc (x) \cos (x)}{\tan (x) + \cot (x)}$
37065	Simplify	5x-3(x-1)^2	$5 x - 3 {(x - 1)}^{2}$
37066	Simplify	square root of cube root of fourth root of m^12	$\sqrt{\sqrt[3]{\sqrt[4]{m^{12}}}}$
37067	Evaluate	square root of 2x+8-6=-4	$\sqrt{2 x + 8} - 6 = - 4$
37068	Solve for x	3x=15+3 square root of x+1	$3 x = 15 + 3 \sqrt{x + 1}$
37069	Evaluate	(y^-2)^4+(y^3)/(y^5)	${(y^{- 2})}^{4} + \frac{y^{3}}{y^{5}}$
37070	Evaluate	1/(sin(x)^2)	$\frac{1}{\sin^{2} (x)}$
37071	Simplify	(4m- square root of 3)(4m- square root of 3)	$(4 m - \sqrt{3}) (4 m - \sqrt{3})$
37072	Find the Derivative - d/dx	natural log of 3xe^(5x)	$\ln (3 x) e^{5 x}$
37073	Simplify	1/2(2x+4)-1/3(9x-6)	$\frac{1}{2} (2 x + 4) - \frac{1}{3} (9 x - 6)$
37074	Evaluate	natural log of 6/(e^2)	$\ln (\frac{6}{e^{2}})$
37075	Add	-4 square root of 11y-14 square root of 10y+2 square root of 10y+ square root of 11y	$- 4 \sqrt{11 y} - 14 \sqrt{10 y} + 2 \sqrt{10 y} + \sqrt{11 y}$
37076	Solve the Function Operation	g(x)=3x+3 f(x)=2x-3 Find (g-f)(-9)	$g (x) = 3 x + 3$ $f (x) = 2 x - 3$ Find $(g - f) (- 9)$
37077	Write in Exponential Form	( square root of 3m)^2	${(\sqrt{3 m})}^{2}$
37078	Graph	x<=2 and x>=3	$x \leq 2$ and $x \geq 3$
37079	Solve the Function Operation	Ala resta de25y12le sumas el producto de*42 por -7	Ala resta $d e \cdot 25 y \cdot 12 l e$ sumas $e l$ producto $d e \cdot 42$ por $- 7$
37080	Simplify	(2x+16)/(x^2+3x-40)*(x^2-11x+30)/(x^2-14x+48)	$\frac{2 x + 16}{x^{2} + 3 x - 40} \cdot \frac{x^{2} - 11 x + 30}{x^{2} - 14 x + 48}$
37081	Solve for x	(2x-3)/10+1/2=x+1	$\frac{2 x - 3}{10} + \frac{1}{2} = x + 1$
37082	Convert to Rectangular	2(cos(pi/3)+isin(pi/3))*5(cos((2pi)/3)+isin((2pi)/3))	$2 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$
37083	Evaluate the Integral	integral of (20x^4-9x^3+10x^2)/x with respect to x	$\int \frac{20 x^{4} - 9 x^{3} + 10 x^{2}}{x} d x$
37084	Solve the Inequality for x	-3x<=-1+6(-x-7/6)-6x	$- 3 x \leq - 1 + 6 (- x - \frac{7}{6}) - 6 x$
37085	Find the Domain and Range	f(x)=1-x if x<=-1; 2 if -1=1	$f (x) = {\begin{cases} 1 - x & x \leq - 1 \\ 2 & - 1 = 1 \end{cases}$
37086	Graph	-1/2 square root of x	$- \frac{1}{2} \sqrt{x}$
37087	Convert to a Percentage	29 is what percent of 20	$29$ is what percent of $20$
37088	Find the Third Term	a_n=21-2n^2	$a_{n} = 21 - 2 n^{2}$
37089	Find All Complex Solutions	9x^4-2x^2-7=0	$9 x^{4} - 2 x^{2} - 7 = 0$
37090	Solve for x	2x^5+73=53	$2 x^{5} + 73 = 53$
37091	Solve for b	-3(33b+65)=-95b-6b-87	$- 3 (33 b + 65) = - 95 b - 6 b - 87$
37092	Solve the Inequality for x	5x+5(x-9)<10x-9	$5 x + 5 (x - 9) < 10 x - 9$
37093	Find the Degree, Leading Term, and Leading Coefficient	2/(m^2)+3m-12	$\frac{2}{m^{2}} + 3 m - 12$
37094	Solve the Inequality for a	3a+8+5a>4a-16	$3 a + 8 + 5 a > 4 a - 16$
37095	Integrate Using u-Substitution	integral of (x^2+1)^2 with respect to x	$\int {(x^{2} + 1)}^{2} d x$
37096	Graph	f(x)=2*cos(8/3x)	$f (x) = 2 \cdot \cos (\frac{8}{3} x)$
37097	Simplify	(64x^3y)^(2/3)	${(64 x^{3} y)}^{\frac{2}{3}}$
37098	Solve for x	2\|1/3x+1\|-3=5	$2 \| \frac{1}{3} x + 1 \| - 3 = 5$
37099	Evaluate the Function	g(x)=2x^2+10x , g(-4)	$g (x) = 2 x^{2} + 10 x$ , $g (- 4)$
37100	Solve for r	3/5r+1/5r=-15+11	$\frac{3}{5} r + \frac{1}{5} r = - 15 + 11$