Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
20701	Simplify	((10mk^2)/(3c^2d))÷((5m^5)/(6c^2d^2))	$\frac{10 m k^{2}}{3 c^{2} d} \div \frac{5 m^{5}}{6 c^{2} d^{2}}$
20702	Graph	x+y<=6 and y<=-6	$x + y \leq 6$ and $y \leq - 6$
20703	Solve for x	3/5x+1/5(40-x)=0	$\frac{3}{5} x + \frac{1}{5} (40 - x) = 0$
20704	Evaluate the Limit	limit as x approaches infinity of (3x^3+2x^2+8)/(4x^3+6x^2)	$lim_{x \to \infty} \frac{3 x^{3} + 2 x^{2} + 8}{4 x^{3} + 6 x^{2}}$
20705	Solve for Y	w=2YZ+2YX	$w = 2 Y Z + 2 Y X$
20706	Simplify	square root of 4x^4+36x^2+81	$\sqrt{4 x^{4} + 36 x^{2} + 81}$
20707	Simplify	(8/(5^3))^2	${(\frac{8}{5^{3}})}^{2}$
20708	Find the Asymptotes	(3x^2-27)/(x^2-3x)	$\frac{3 x^{2} - 27}{x^{2} - 3 x}$
20709	Add	(5x-5)/(x^2-2x-15)+(-4x+8)/(x^2-2x-15)	$\frac{5 x - 5}{x^{2} - 2 x - 15} + \frac{- 4 x + 8}{x^{2} - 2 x - 15}$
20710	Simplify	fourth root of 256x^9* square root of 64x^11	$\sqrt[4]{256 x^{9}} \cdot \sqrt{64 x^{11}}$
20711	Graph	(1/2,1)	$(\frac{1}{2}, 1)$
20712	Evaluate	(\|-5\|)/(-5^2)	$\frac{\| - 5 \|}{- 5^{2}}$
20713	Simplify	2x^2-1 from 4x^2+2	$2 x^{2} - 1$ from $4 x^{2} + 2$
20714	Simplify	((7x+28)/(2x))÷((12+3x)/6)	$\frac{7 x + 28}{2 x} \div \frac{12 + 3 x}{6}$
20715	Evaluate	find the exact value of cos((5pi)/12)	find the exact value of $\cos (\frac{5 π}{12})$
20716	Solve for w	8/(4w-24)-1=2/(w-6)	$\frac{8}{4 w - 24} - 1 = \frac{2}{w - 6}$
20717	Integrate Using u-Substitution	integral of sin(x)^3 with respect to x	$\int \sin^{3} (x) d x$
20718	Simplify	(2x^2+3)/(x^2+1)+(2x^2+1)/(x^2+1)	$\frac{2 x^{2} + 3}{x^{2} + 1} + \frac{2 x^{2} + 1}{x^{2} + 1}$
20719	Divide	((x^2-5x-6)/(5x+15))÷((x^2-3x-4)/(7x+21))	$\frac{x^{2} - 5 x - 6}{5 x + 15} \div \frac{x^{2} - 3 x - 4}{7 x + 21}$
20720	Find the Domain and Range	x-4y=10	$x - 4 y = 10$
20721	Evaluate	(3x^-6y^-3)/(15x^2y^10)	$\frac{3 x^{- 6} y^{- 3}}{15 x^{2} y^{10}}$
20722	Find the Exact Value	2^0+3^0+4^0	$2^{0} + 3^{0} + 4^{0}$
20723	Solve the Absolute Value Inequality for x	\|x+4\|=0	$\| x + 4 \| = 0$
20724	Simplify	square root of x^2-6x+9x^2-6x+9	$\sqrt{x^{2} - 6 x + 9 x^{2} - 6 x + 9}$
20725	Simplify the Radical Expression	(x^3)/( square root of x)	$\frac{x^{3}}{\sqrt{x}}$
20726	Find the Slope	(3,8) and (9,10)	$(3, 8)$ and $(9, 10)$
20727	Solve for x	y=(2x-4)/(x-5)	$y = \frac{2 x - 4}{x - 5}$
20728	Write the Fraction in Simplest Form	((2v^-4t^-1)^-5)/(4v^-1t)	$\frac{{(2 v^{- 4} t^{- 1})}^{- 5}}{4 v^{- 1} t}$
20729	Solve for a	b=2/5(a-9)	$b = \frac{2}{5} (a - 9)$
20730	Find the Derivative - d/dx	(3+x)/(2-5x^2)	$\frac{3 + x}{2 - 5 x^{2}}$
20731	Solve the Inequality for x	8x<=2/5(10x+20)	$8 x \leq \frac{2}{5} (10 x + 20)$
20732	Find the Holes in the Graph	f(x)=(2x^3+10x^2+8x)/(x^3+7x^2+12x)	$f (x) = \frac{2 x^{3} + 10 x^{2} + 8 x}{x^{3} + 7 x^{2} + 12 x}$
20733	Evaluate the Integral	integral of 4x^2(4x-5)^2 with respect to x	$\int 4 x^{2} {(4 x - 5)}^{2} d x$
20734	Graph	f(x) = log base 3 of x/3	$f (x) = \log_{3} (\frac{x}{3})$
20735	Evaluate	5/x-3/(2x)=7/6	$\frac{5}{x} - \frac{3}{2 x} = \frac{7}{6}$
20736	Solve for v	m=m_0/( square root of 1-((v^2)/(c^2)))	$m = \frac{m_{0}}{\sqrt{1 - (\frac{v^{2}}{c^{2}})}}$
20737	Evaluate	(2x-7)^3=(2x)^3-7^3	${(2 x - 7)}^{3} = {(2 x)}^{3} - 7^{3}$
20738	Solve the Inequality for x	(x^3-4x)/(x^2+2)<=0	$\frac{x^{3} - 4 x}{x^{2} + 2} \leq 0$
20739	Find the Derivative - d/dx	e^(sin(x))cos(x)	$e^{\sin (x)} \cos (x)$
20740	Solve the System of Equations	2x-y+10z=3 x+y+6z=-2 x-y+2z=0	$2 x - y + 10 z = 3$ $x + y + 6 z = - 2$ $x - y + 2 z = 0$
20741	Solve the Inequality for x	(x^2-4)/(x^2+36)<=0	$\frac{x^{2} - 4}{x^{2} + 36} \leq 0$
20742	Convert from Radians to Degrees	0pi	$0 π$
20743	Simplify the Radical Expression	2 square root of 27*5 square root of 3	$2 \sqrt{27} \cdot 5 \sqrt{3}$
20744	Find the Degree	xy+x	$x y + x$
20745	Subtract	-5x^2-9x+8-6x^2+5	$- 5 x^{2} - 9 x + 8 - 6 x^{2} + 5$
20746	Evaluate	((b^x)^y)^z	${({(b^{x})}^{y})}^{z}$
20747	Solve for g	g=25-3*4	$g = 25 - 3 \cdot 4$
20748	Solve the System of Equations	x+y+z=3 2x-y+2z=6 3x+2y-z=13	$x + y + z = 3$ $2 x - y + 2 z = 6$ $3 x + 2 y - z = 13$
20749	Simplify	(4 square root of 3)/5-( square root of 3)/5+3/5 square root of 3	$\frac{4 \sqrt{3}}{5} - \frac{\sqrt{3}}{5} + \frac{3}{5} \sqrt{3}$
20750	Simplify	(-2a^6bc^3)^2*-5ab^2	${(- 2 a^{6} b c^{3})}^{2} \cdot - 5 a b^{2}$
20751	Simplify	square root of x^2yz^3* square root of x^3z^5	$\sqrt{x^{2} y z^{3}} \cdot \sqrt{x^{3} z^{5}}$
20752	Solve for x	6/x-1=4/(x-2)	$\frac{6}{x} - 1 = \frac{4}{x - 2}$
20753	Solve for x	x+3y=2 4x-3y=23	$x + 3 y = 2$ $4 x - 3 y = 23$
20754	Find the Second Term	a_n=1/8+2/3n	$a_{n} = \frac{1}{8} + \frac{2}{3} n$
20755	Solve the Differential Equation	y'-y=0	$y' - y = 0$
20756	Simplify	(2(x+4x+y))/4	$\frac{2 (x + 4 x + y)}{4}$
20757	Solve for x	x(x-2)+x-2=0	$x (x - 2) + x - 2 = 0$
20758	Simplify the Radical Expression	( square root of 7)/( square root of 3- square root of 2)	$\frac{\sqrt{7}}{\sqrt{3} - \sqrt{2}}$
20759	Find All Complex Solutions	9a^2+25a+16=a	$9 a^{2} + 25 a + 16 = a$
20760	Solve the System of Inequalities	3m-12>30 and -6m>=24	$3 m - 12 > 30$ and $- 6 m \geq 24$
20761	Solve for M	square root of 2M=4	$\sqrt{2 M} = 4$
20762	Add	(5x^4-6+3x)+(2x+4)+(x^2-3x^4)+(6x-3x^3+3)	$(5 x^{4} - 6 + 3 x) + (2 x + 4) + (x^{2} - 3 x^{4}) + (6 x - 3 x^{3} + 3)$
20763	Multiply	-2a^2(7a^2+a-5)	$- 2 a^{2} (7 a^{2} + a - 5)$
20764	Simplify	-1/3+2	$- \frac{1}{3} + 2$
20765	Solve the Function Operation	f(x)=(x^(1/3))/5+8 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{3}}}{5} + 8$ ; find $f^{- 1} (x)$
20766	Find the LCM	12 and 8	$12$ and $8$
20767	Find the Derivative of the Integral	integral from square root of x to pi/6 of thetatan(theta) with respect to theta	$\int_{\sqrt{x}}^{\frac{π}{6}} θ \tan (θ) d θ$
20768	Solve for x	7^x> cube root of 7	$7^{x} > \sqrt[3]{7}$
20769	Find the x and y Intercepts	f(x)=2 natural log of x-3	$f (x) = 2 \ln (x - 3)$
20770	Solve the Inequality for x	7*\|x+2\|+5>4	$7 \cdot \| x + 2 \| + 5 > 4$
20771	Solve the Inequality for W	W+6<=-3	$W + 6 \leq - 3$
20772	Simplify	3(x+2)=(5)	$3 (x + 2) = (5)$
20773	Evaluate	(1/3)^2+(9/10)^-1	${(\frac{1}{3})}^{2} + {(\frac{9}{10})}^{- 1}$
20774	Expand the Logarithmic Expression	log of (y^3)/( square root of z^3x^2)	$\log (\frac{y^{3}}{\sqrt{z^{3} x^{2}}})$
20775	Simplify	( fourth root of 4)^4	${(\sqrt[4]{4})}^{4}$
20776	Find the Product	(x^2-2x-8)(-x^2+3x-5)	$(x^{2} - 2 x - 8) (- x^{2} + 3 x - 5)$
20777	Solve for y	2y-3(2y-3)+2=31	$2 y - 3 (2 y - 3) + 2 = 31$
20778	Find All Complex Solutions	4(3-x)^(4/3)-5=59	$4 {(3 - x)}^{\frac{4}{3}} - 5 = 59$
20779	Evaluate the Limit	limit as x approaches 0 of (cos(x))/(x+8)	$lim_{x \to 0} \frac{\cos (x)}{x + 8}$
20780	Simplify	((3x^4y^6)/(4x^-1y^3))^2	${(\frac{3 x^{4} y^{6}}{4 x^{- 1} y^{3}})}^{2}$
20781	Simplify	5 square root of square root of x^8	$5 \sqrt{\sqrt{x^{8}}}$
20782	Solve the Inequality for x	(\|x+9\|)/4>2	$\frac{\| x + 9 \|}{4} > 2$
20783	Evaluate	(tan(1)-1)/(1^3)	$\frac{\tan (1) - 1}{1^{3}}$
20784	Evaluate the Integral	integral from pi/6 to pi/2 of (cos(x))/(3+sin(x)) with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{2}} \frac{\cos (x)}{3 + \sin (x)} d x$
20785	Evaluate	1/(tan(x))	$\frac{1}{\tan (x)}$
20786	Divide Using Long Polynomial Division	(2x^3+11x^2-20)÷(x^2+x-2)	$(2 x^{3} + 11 x^{2} - 20) \div (x^{2} + x - 2)$
20787	Simplify	2 square root of 5(3 square root of 3+6 square root of 2)x^3	$2 \sqrt{5} (3 \sqrt{3} + 6 \sqrt{2}) x^{3}$
20788	Simplify	((x^-2)^2)/((3y^-2)^3)	$\frac{{(x^{- 2})}^{2}}{{(3 y^{- 2})}^{3}}$
20789	Convert to Polar	z=(5 square root of 3)/4-5/4i	$z = \frac{5 \sqrt{3}}{4} - \frac{5}{4} i$
20790	Evaluate	csc(180 degrees )	$\csc (180 °)$
20791	Write in Standard Form	(x+2)^2(x-1)^2	${(x + 2)}^{2} {(x - 1)}^{2}$
20792	Simplify	(3/(x^-22))^-3	${(\frac{3}{x^{- 22}})}^{- 3}$
20793	Solve for v	-10 square root of v/8=-40	$- 10 \sqrt{\frac{v}{8}} = - 40$
20794	Reduce	square root of 224	$\sqrt{224}$
20795	Solve for x	natural log of x=x-2	$\ln (x) = x - 2$
20796	Solve for x	(x^2+x-12)/(x^2-4x+4)>0	$\frac{x^{2} + x - 12}{x^{2} - 4 x + 4} > 0$
20797	Solve for x	log base 4 of 4x^2+7- log base 4 of 2x+1=1	$\log_{4} (4 x^{2} + 7) - \log_{4} (2 x + 1) = 1$
20798	Find the Derivative - d/dx	4- square root of x+2	$4 - \sqrt{x + 2}$
20799	Simplify	4+x+(-10)-11x	$4 + x + (- 10) - 11 x$
20800	Solve the Inequality for x	x^3>0	$x^{3} > 0$