Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
20601	Simplify	(z-2)^2+(z-5)(z+7)	${(z - 2)}^{2} + (z - 5) (z + 7)$
20602	Find the Second Derivative	x^(4/3)+4x^(1/3)	$x^{\frac{4}{3}} + 4 x^{\frac{1}{3}}$
20603	Evaluate the Integral	integral from -3 to 2 of (1/2x^2+x+6) with respect to x	$\int_{- 3}^{2} (\frac{1}{2} x^{2} + x + 6) d x$
20604	Write in Slope-Intercept Form	(5,1) and (10,5)	$(5, 1)$ and $(10, 5)$
20605	Factor	432m^7n^3-147mn^9	$432 m^{7} n^{3} - 147 m n^{9}$
20606	Divide	( square root of x^3)/( cube root of y^5)	$\frac{\sqrt{x^{3}}}{\sqrt[3]{y^{5}}}$
20607	Factor	5x(x-y)-(y-x)	$5 x (x - y) - (y - x)$
20608	Convert from Radians to Degrees	arctan(( square root of 3)/2)	$\arctan (\frac{\sqrt{3}}{2})$
20609	Find the Holes in the Graph	(x^2-7x+12)/(x^2-9)	$\frac{x^{2} - 7 x + 12}{x^{2} - 9}$
20610	Simplify the Radical Expression	square root of 81(x^5-2)^10	$\sqrt{81 {(x^{5} - 2)}^{10}}$
20611	Divide	((x^2-1)/(2x+2))÷((x^2-6x+5)/(2x^2))	$\frac{x^{2} - 1}{2 x + 2} \div \frac{x^{2} - 6 x + 5}{2 x^{2}}$
20612	Solve for x	kx-17=51+x	$k x - 17 = 51 + x$
20613	Solve for x	0=(x+2)^2-16	$0 = {(x + 2)}^{2} - 16$
20614	Simplify	(p^2-14p+40)/(16p^3)+(3p^2-18p+24)/(2p^2-4p)	$\frac{p^{2} - 14 p + 40}{16 p^{3}} + \frac{3 p^{2} - 18 p + 24}{2 p^{2} - 4 p}$
20615	Find All Complex Solutions	3tan(x) = square root of 3	$3 \tan (x) = \sqrt{3}$
20616	Solve for x	y=6(x+a)	$y = 6 (x + a)$
20617	Identify the Polar Equation	x^2+y^2=9	$x^{2} + y^{2} = 9$
20618	Solve for v₂	t_1/(s_1v_1)=t_2/(s_2v_2)	$\frac{t_{1}}{s_{1} v_{1}} = \frac{t_{2}}{s_{2} v_{2}}$
20619	Find the Maximum/Minimum Value	x^2e^(-x^2)	$x^{2} e^{- x^{2}}$
20620	Find the GCF	4n^9+12n	$4 n^{9} + 12 n$
20621	Solve the Inequality for n	1/4n>=10	$\frac{1}{4} n \geq 10$
20622	Identify the Sequence	3 , 6 , 12 , 24 ; dots	$3$ , $6$ , $12$ , $24$ ; dots
20623	Simplify	cube root of (27a^3)/(b^6)	$\sqrt[3]{\frac{27 a^{3}}{b^{6}}}$
20624	Write in Standard Form	9x^2y-4x+3y^3x-2y^2	$9 x^{2} y - 4 x + 3 y^{3} x - 2 y^{2}$
20625	Find dx/dy	xy+y^2=2	$x y + y^{2} = 2$
20626	Write in Standard Form	18a^2b^2+7ab-b^2+4a^3	$18 a^{2} b^{2} + 7 a b - b^{2} + 4 a^{3}$
20627	Graph	x+3<y 3x-3y>=12	$x + 3 < y$ $3 x - 3 y \geq 12$
20628	Solve the Inequality for x	(x+3)(x^2-3x+9)>(x^2-6)(x-1)	$(x + 3) (x^{2} - 3 x + 9) > (x^{2} - 6) (x - 1)$
20629	Solve for x	(x-2)^3=-14	${(x - 2)}^{3} = - 14$
20630	Evaluate the Limit	limit as x approaches infinity of (3x^3+2x-1)/(2x^4-3x^3-2)	$lim_{x \to \infty} \frac{3 x^{3} + 2 x - 1}{2 x^{4} - 3 x^{3} - 2}$
20631	Solve the System of Equations	-6x+6y-7z=-7 6x+y+6z=-7 6x+y+8z=7	$- 6 x + 6 y - 7 z = - 7$ $6 x + y + 6 z = - 7$ $6 x + y + 8 z = 7$
20632	Evaluate	10*3^((5t)/4)=800	$10 \cdot 3^{\frac{5 t}{4}} = 800$
20633	Solve for x	-1/3x+12=-2x+2	$- \frac{1}{3} x + 12 = - 2 x + 2$
20634	Evaluate	sin(2(pi/2))	$\sin (2 (\frac{π}{2}))$
20635	Solve for θ	sin(theta)>0	$\sin (θ) > 0$
20636	Factor by Grouping	a^3b^3-1	$a^{3} b^{3} - 1$
20637	Solve the System of Equations	-8x-8y=0 and -5x-4y=5	$- 8 x - 8 y = 0$ and $- 5 x - 4 y = 5$
20638	Simplify	(2r^-5s^9t^6)^-3	${(2 r^{- 5} s^{9} t^{6})}^{- 3}$
20639	Simplify	-1/2(18d-6)-10d	$- \frac{1}{2} (18 d - 6) - 10 d$
20640	Solve the Function Operation	Given that f(x)=x^2+x and g(x)=3x+1 ; find the value of f(g(4))	Given that $f (x) = x^{2} + x$ and $g (x) = 3 x + 1$ ; find the value of $f (g (4))$
20641	Simplify	(2x^-4y^7)^2*(-3x^-3y^-2)^-3	${(2 x^{- 4} y^{7})}^{2} \cdot {(- 3 x^{- 3} y^{- 2})}^{- 3}$
20642	Multiply	-3 square root of 5* square root of 20	$- 3 \sqrt{5} \cdot \sqrt{20}$
20643	Write in Standard Form	-2x(3x-4)+7x	$- 2 x (3 x - 4) + 7 x$
20644	Solve for x in Radians	cos(2x)-cos(x)=0	$\cos (2 x) - \cos (x) = 0$
20645	Evaluate	((4^-6)/(4^2))^4	${(\frac{4^{- 6}}{4^{2}})}^{4}$
20646	Simplify	((a^(3/5)b^(1/2))/(a^(1/5)))^(1/4)	${(\frac{a^{\frac{3}{5}} b^{\frac{1}{2}}}{a^{\frac{1}{5}}})}^{\frac{1}{4}}$
20647	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-3x^3-7x^2-x+10 is divided by x-1	Use synthetic division to find the result when $x^{4} - 3 x^{3} - 7 x^{2} - x + 10$ is divided by $x - 1$
20648	Solve the Inequality for x	(1/81)^(3-x)<=9	${(\frac{1}{81})}^{3 - x} \leq 9$
20649	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-5x^2+11x-10 is divided by x-2	Use synthetic division to find the result when $x^{3} - 5 x^{2} + 11 x - 10$ is divided by $x - 2$
20650	Convert to a Decimal	-14pirad	$- 14 π$ radians
20651	Multiply	(4x^2-5x+6)(2x^4-5x^2+6)	$(4 x^{2} - 5 x + 6) (2 x^{4} - 5 x^{2} + 6)$
20652	Simplify	(c^3)/( fourth root of d^7)	$\frac{c^{3}}{\sqrt[4]{d^{7}}}$
20653	Simplify	Simplify (x^2+4x)/(x-3)*(2x-6)/(10x)	Simplify $\frac{x^{2} + 4 x}{x - 3} \cdot \frac{2 x - 6}{10 x}$
20654	Solve for a	4a^3-ab^2=0	$4 a^{3} - a b^{2} = 0$
20655	Simplify	(x^2-2x)/(x^2+3x-10)+(x-5)/(x+5)	$\frac{x^{2} - 2 x}{x^{2} + 3 x - 10} + \frac{x - 5}{x + 5}$
20656	Evaluate	sixth root of 512	$\sqrt[6]{512}$
20657	Simplify	x/y-y/z	$\frac{x}{y} - \frac{y}{z}$
20658	Find the Derivative - d/dx	y=8e^(tan(x^2))	$y = 8 e^{\tan (x^{2})}$
20659	Find dy/dx	-xy+y^2-4x^2=0	$- x y + y^{2} - 4 x^{2} = 0$
20660	Simplify	4p*3p^(5/4)	$4 p \cdot 3 p^{\frac{5}{4}}$
20661	Graph	11x-9>13 or -4x-4>8	$11 x - 9 > 13$ or $- 4 x - 4 > 8$
20662	Simplify	(6x^5-9x)/((8x^4-12)/8)	$\frac{6 x^{5} - 9 x}{\frac{8 x^{4} - 12}{8}}$
20663	Find the Derivative - d/dx	x^2+1/x+xy+1/y+y^2	$x^{2} + \frac{1}{x} + x y + \frac{1}{y} + y^{2}$
20664	Find the Exact Value	\|2+3i\|	$\| 2 + 3 i \|$
20665	Solve for q	2(2q+1.5)=18-q	$2 (2 q + 1.5) = 18 - q$
20666	Write in Standard Form	f(x)=-6x^2+x^3+9x	$f (x) = - 6 x^{2} + x^{3} + 9 x$
20667	Evaluate the Limit	limit as x approaches 8 of (-5x+9) square root of 68-x^2	$lim_{x \to 8} (- 5 x + 9) \sqrt{68 - x^{2}}$
20668	Convert from Degrees to Radians	390deg	$390$ degrees
20669	Simplify/Condense	sin(x)(tan(x)+cot(x))	$\sin (x) (\tan (x) + \cot (x))$
20670	Divide	(18x-12)÷6x	$(18 x - 12) \div 6 x$
20671	Add	(6x^3-4)+(-2x^3+9)	$(6 x^{3} - 4) + (- 2 x^{3} + 9)$
20672	Write in Standard Form	(3x^2-2x+2)(-2x^2-3x-1)	$(3 x^{2} - 2 x + 2) (- 2 x^{2} - 3 x - 1)$
20673	Find the Exact Value	tan(pi/3)+sin((5pi)/6)*cos(-(3pi)/4)	$\tan (\frac{π}{3}) + \sin (\frac{5 π}{6}) \cdot \cos (- \frac{3 π}{4})$
20674	Evaluate	4(x+2)-17=35	$4 (x + 2) - 17 = 35$
20675	Simplify	(m^(2/3)n^2)/(m^-1n^3)	$\frac{m^{\frac{2}{3}} n^{2}}{m^{- 1} n^{3}}$
20676	Simplify the Radical Expression	8i-9i6i	$8 i \cdot - 9 i \cdot 6 i$
20677	Expand the Logarithmic Expression	log base 2 of (2^4)/(2^10)	$\log_{2} (\frac{2^{4}}{2^{10}})$
20678	Simplify	(3^(1/3)*27^(2/3))/(8^(4/3))	$\frac{3^{\frac{1}{3}} \cdot 27^{\frac{2}{3}}}{8^{\frac{4}{3}}}$
20679	Find the Antiderivative	2/( square root of 2x-1)	$\frac{2}{\sqrt{2 x - 1}}$
20680	Solve for y	4y+7=3x-8	$4 y + 7 = 3 x - 8$
20681	Describe the Transformation	y = square root of 3x-1	$y = \sqrt{3 x} - 1$
20682	Convert to Interval Notation	x<=-5 and x<=-3	$x \leq - 5$ and $x \leq - 3$
20683	Subtract	8.3x^2+0.9xy+3.6 7.4x^2-1.7xy+6.4	$8.3 x^{2} + 0.9 x y + 3.6$ $7.4 x^{2} - 1.7 x y + 6.4$
20684	Graph	y>=1.5x-2 y>=-3x x<2 y<=4	$y \geq 1.5 x - 2$ $y \geq - 3 x$ $x < 2$ $y \leq 4$
20685	Solve for x	3^(x+3)-3^(x+2)=162	$3^{x + 3} - 3^{x + 2} = 162$
20686	Evaluate	-3.5*180/pi	$- 3.5 \cdot \frac{180}{π}$
20687	Solve for x	(2(x-3))/3=(x+1)/2	$\frac{2 (x - 3)}{3} = \frac{x + 1}{2}$
20688	Solve for w	12+9(w+20)=-3w	$12 + 9 (w + 20) = - 3 w$
20689	Solve for w	log base 2 of 2w^2- log base 2 of w+3=3	$\log_{2} (2 w^{2}) - \log_{2} (w + 3) = 3$
20690	Solve for y	a(b-y)-a(b-1)=a(ay-b)	$a (b - y) - a (b - 1) = a (a y - b)$
20691	Simplify	(9!-6!+4!)/(4!+7!)	$\frac{9! - 6! + 4!}{4! + 7!}$
20692	Simplify	(7x)/(3- square root of 2)	$\frac{7 x}{3 - \sqrt{2}}$
20693	Evaluate	5^(-3x-1)=25	$5^{- 3 x - 1} = 25$
20694	Simplify	(x^3+x^2y-6xy^2)/(x^2-2xy)	$\frac{x^{3} + x^{2} y - 6 x y^{2}}{x^{2} - 2 x y}$
20695	Factor	-4x^2+(-24x)	$- 4 x^{2} + (- 24 x)$
20696	Convert to a Decimal	150deg to rad	$150$ degrees to radians
20697	Find the Antiderivative	2sin(x)^2+1	$2 \sin^{2} (x) + 1$
20698	Simplify	(x^2-16)/((x^2-6x-27)(x+1))	$\frac{x^{2} - 16}{(x^{2} - 6 x - 27) (x + 1)}$
20699	Solve for x	log of 3x=1/8	$\log (3 x) = \frac{1}{8}$
20700	Evaluate the Integral	integral of 1/2sin(2x) with respect to x	$\int \frac{1}{2} \sin (2 x) d x$