Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
19701	Solve for x	cube root of x^2-2 = cube root of 5x	$\sqrt[3]{x^{2} - 2} = \sqrt[3]{5 x}$
19702	Find the Domain	square root of (3-x)/(5-x)	$\sqrt{\frac{3 - x}{5 - x}}$
19703	Evaluate	-2(3)^3+(3)^2-3*3+4	$- 2 {(3)}^{3} + {(3)}^{2} - 3 \cdot 3 + 4$
19704	Simplify	(15p^5qr^7)*(4/3p^2qr)	$(15 p^{5} q r^{7}) \cdot (\frac{4}{3} p^{2} q r)$
19705	Solve for a	a-6 = square root of a	$a - 6 = \sqrt{a}$
19706	Solve the System of Inequalities	y>-2x+1 y<=x+3	$y > - 2 x + 1$ $y \leq x + 3$
19707	Graph	y< square root of x+1+4	$y < \sqrt{x + 1 + 4}$
19708	Solve for x	1 1/3+x=3 2/3	$1 \frac{1}{3} + x = 3 \frac{2}{3}$
19709	Solve for m	9^(m-6)=78	$9^{m - 6} = 78$
19710	Find the Third Term	a_n=3(2)^n	$a_{n} = 3 {(2)}^{n}$
19711	Convert to a Decimal	1deg	$1$ degree
19712	Solve by Graphing	-9x+6y=18 -3x+2y=-12	$- 9 x + 6 y = 18$ $- 3 x + 2 y = - 12$
19713	Simplify	((x+2)/(x^2+3))÷((x^2-3)/(x-4))	$\frac{x + 2}{x^{2} + 3} \div \frac{x^{2} - 3}{x - 4}$
19714	Divide Using Long Polynomial Division	(16a^4-40a^2+24a)/(12a^3)	$\frac{16 a^{4} - 40 a^{2} + 24 a}{12 a^{3}}$
19715	Simplify the Matrix	(3a^2b^-4)/(12a^-2b^-2) , a!=0 , b!=0	$\frac{3 a^{2} b^{- 4}}{12 a^{- 2} b^{- 2}}$ , $a \neq 0$ , $b \neq 0$
19716	Evaluate	log base 3 of 12+ log base 3 of 4.5- log base 3 of 6	$\log_{3} (12) + \log_{3} (4.5) - \log_{3} (6)$
19717	Simplify	(x+ square root of 5)(x+ square root of 5)	$(x + \sqrt{5}) (x + \sqrt{5})$
19718	Solve the Inequality for x	-5x^2-23x+3<-9x	$- 5 x^{2} - 23 x + 3 < - 9 x$
19719	Solve the System of Equations	2x+y+z=7 x-y-2z=-6 -8x+y+3z=5	$2 x + y + z = 7$ $x - y - 2 z = - 6$ $- 8 x + y + 3 z = 5$
19720	Solve for x	x(x-4)=-3	$x (x - 4) = - 3$
19721	Find the Antiderivative	(sin(2x)-cos(2x))^2	${(\sin (2 x) - \cos (2 x))}^{2}$
19722	Solve the Inequality for x	(x+2)/(x-2)<(x+3)/(2-x)	$\frac{x + 2}{x - 2} < \frac{x + 3}{2 - x}$
19723	Simplify	1/(p-9)*(p^2+6p-27)/(p+9)	$\frac{1}{p - 9} \cdot \frac{p^{2} + 6 p - 27}{p + 9}$
19724	Find the Reference Angle	cos(-pi/4)	$\cos (- \frac{π}{4})$
19725	Evaluate the Limit	limit as x approaches -3 of (3x^2-x)/(x+4)	$lim_{x \to - 3} \frac{3 x^{2} - x}{x + 4}$
19726	Simplify	(6^-4)/((6^6)^-1)	$\frac{6^{- 4}}{{(6^{6})}^{- 1}}$
19727	Evaluate the Limit	limit as x approaches 0 of (5-5cos(x))/x	$lim_{x \to 0} \frac{5 - 5 \cos (x)}{x}$
19728	Simplify	(2x)^(1/3)*(2x)^(4/3)	${(2 x)}^{\frac{1}{3}} \cdot {(2 x)}^{\frac{4}{3}}$
19729	Find dy/dx	5y^2+5+x^3=y^3	$5 y^{2} + 5 + x^{3} = y^{3}$
19730	Solve for y	4/9*e^(-3y)+7=35	$\frac{4}{9} \cdot e^{- 3 y} + 7 = 35$
19731	Find the LCM	18 and 24	$18$ and $24$
19732	Evaluate	(1+3)^2*4	${(1 + 3)}^{2} \cdot 4$
19733	Convert to a Percentage	15 is what percent of 40 ?	$15$ is what percent of $40$ ?
19734	Convert to a Decimal	720deg	$720$ degrees
19735	Evaluate	1/2(10x+20y+10z)	$\frac{1}{2} (10 x + 20 y + 10 z)$
19736	Find the Focus	y=(-x^2)/2	$y = \frac{- x^{2}}{2}$
19737	Divide	( square root of 2)÷( cube root of 2)	$\sqrt{2} \div \sqrt[3]{2}$
19738	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-24x^3+22x^2-4x-21 is divided by x-7	Use synthetic division to find the result when $3 x^{4} - 24 x^{3} + 22 x^{2} - 4 x - 21$ is divided by $x - 7$
19739	Solve for x	log base x+3 of 125=3	$\log_{x + 3} (125) = 3$
19740	Integrate Using u-Substitution	integral of (1-2x)^9 with respect to x	$\int {(1 - 2 x)}^{9} d x$
19741	Evaluate the Integral	integral of (2sin(2x))/(1+9cos(2x)^2) with respect to x	$\int \frac{2 \sin (2 x)}{1 + 9 \cos^{2} (2 x)} d x$
19742	Solve for b	b^4+2b^2-24=0	$b^{4} + 2 b^{2} - 24 = 0$
19743	Simplify	-1/2+(3/4*4/9)	$- \frac{1}{2} + (\frac{3}{4} \cdot \frac{4}{9})$
19744	Solve for x	-2/5(x+2)=6	$- \frac{2}{5} (x + 2) = 6$
19745	Find g(h(x))	g(x)=2x h(x)=x^2+4	$g (x) = 2 x$ $h (x) = x^{2} + 4$
19746	Solve for x	log base 2 of 1/16=2x-5	$\log_{2} (\frac{1}{16}) = 2 x - 5$
19747	Divide	(3x^5-15x^3+6x)/(9x)	$\frac{3 x^{5} - 15 x^{3} + 6 x}{9 x}$
19748	Simplify the Radical Expression	(2+ square root of 5)(5- square root of 7)	$(2 + \sqrt{5}) (5 - \sqrt{7})$
19749	Solve for y	-2y-3-(-4y+5+(-y+2-(3y-1)+2y-5))=-(y-4)	$- 2 y - 3 - (- 4 y + 5 + (- y + 2 - (3 y - 1) + 2 y - 5)) = - (y - 4)$
19750	Graph	17<=3-2(n-1)	$17 \leq 3 - 2 (n - 1)$
19751	Evaluate	2*(1/2)^2	$2 \cdot {(\frac{1}{2})}^{2}$
19752	Simplify the Radical Expression	-4x square root of 125x^2+5 square root of 125x^4	$- 4 x \sqrt{125 x^{2}} + 5 \sqrt{125 x^{4}}$
19753	Solve the Inequality for z	-6>z/-2+1	$- 6 > \frac{z}{- 2} + 1$
19754	Solve for x	3/(2x)-1/(2(x+4))=1	$\frac{3}{2 x} - \frac{1}{2 (x + 4)} = 1$
19755	Graph	y>=-5x-1 and y<=3x+4	$y \geq - 5 x - 1$ and $y \leq 3 x + 4$
19756	Evaluate	a=(8-0)/3	$a = \frac{8 - 0}{3}$
19757	Solve for x	4x^2+8x-17=x^2-2x	$4 x^{2} + 8 x - 17 = x^{2} - 2 x$
19758	Simplify	cube root of v^5 fourth root of v^5	$\sqrt[3]{v^{5}} \sqrt[4]{v^{5}}$
19759	Find the Domain	(-1/x)(1-x)/(1+x)x/(x^2-1)	$(- \frac{1}{x}) \times \frac{1 - x}{1 + x} \times \frac{x}{x^{2} - 1}$
19760	Find the Antiderivative	x/y	$\frac{x}{y}$
19761	Simplify	9 square root of 2( square root of 9+2 square root of 2)	$9 \sqrt{2} (\sqrt{9} + 2 \sqrt{2})$
19762	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,1) and has a slope of -1/5 ?	What is the equation of the line that passes through the point $(- 5, 1)$ and has a slope of $- \frac{1}{5}$ ?
19763	Find the Derivative - d/dx	natural log of 2e^x-1	$\ln (2 e^{x} - 1)$
19764	Find the x and y Intercepts	f(x)=16(x+6)+13	$f (x) = 16 (x + 6) + 13$
19765	Describe the Transformation	f(x)=1/2\|x-3\|+1	$f (x) = \frac{1}{2} \| x - 3 \| + 1$
19766	Graph	x+y<=3 and y<=-3	$x + y \leq 3$ and $y \leq - 3$
19767	Simplify	cube root of ( square root of x^6y^8z)/(125z^(1/2))	$\sqrt[3]{\frac{\sqrt{x^{6} y^{8} z}}{125 z^{\frac{1}{2}}}}$
19768	Solve for x	x/3-2=2/5x+1/4	$\frac{x}{3} - 2 = \frac{2}{5} x + \frac{1}{4}$
19769	Evaluate the Summation	sum from i=-2 to 3 of 3^(-i)	$\sum_{i = - 2}^{3} 3^{- i}$
19770	Factor by Grouping	81-x^8	$81 - x^{8}$
19771	Combine Like Terms	2x+3y+7x-2y	$2 x + 3 y + 7 x - 2 y$
19772	Simplify	(5-9)^2-\|5-9\|	${(5 - 9)}^{2} - \| 5 - 9 \|$
19773	Find the Domain	f(x)=(2x^2-2x-4)/(x^2+2x-24)	$f (x) = \frac{2 x^{2} - 2 x - 4}{x^{2} + 2 x - 24}$
19774	Simplify	(24m^8n^5)/((-m^2n)^3+5m^6n^3)*(-3mn^4)^2	$\frac{24 m^{8} n^{5}}{{(- m^{2} n)}^{3} + 5 m^{6} n^{3}} \cdot {(- 3 m n^{4})}^{2}$
19775	Solve the Function Operation	2 , 400=7 , 500(10)^(-x)	$2$ , $400 = 7$ , $500 {(10)}^{- x}$
19776	Evaluate	3((7+8)2+6)	$3 \times ((7 + 8) \times 2 + 6)$
19777	Simplify	sixth root of y^5 cube root of y^5	$\sqrt[6]{y^{5}} \sqrt[3]{y^{5}}$
19778	Solve for x	x+-3x=4	$x + - 3 x = 4$
19779	Simplify	-10/(-4- square root of 17)	$\frac{- 10}{- 4 - \sqrt{17}}$
19780	Simplify	((3a^2b^-7c^4)/(2a^-2b^3c^2))^2	${(\frac{3 a^{2} b^{- 7} c^{4}}{2 a^{- 2} b^{3} c^{2}})}^{2}$
19781	Multiply	x (3x+y)	$x$ $(3 x + y)$
19782	Evaluate	2^-7*(2^-7)/(2^0)	$2^{- 7} \cdot \frac{2^{- 7}}{2^{0}}$
19783	Multiply	2*pi/2	$2 \cdot \frac{π}{2}$
19784	Find the Slope	(-1,-9) and (5,-6)	$(- 1, - 9)$ and $(5, - 6)$
19785	Solve the System of Equations	2x+4y-z=-7 3y+7z=38 -2z=-10	$2 x + 4 y - z = - 7$ $3 y + 7 z = 38$ $- 2 z = - 10$
19786	Graph	y>=x^2 y<=x+2	$y \geq x^{2}$ $y \leq x + 2$
19787	Simplify	2b-7+3b+4-b+3	$2 b - 7 + 3 b + 4 - b + 3$
19788	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,-5) and has a slope of -1 ?	What is the equation of the line that passes through the point $(- 1, - 5)$ and has a slope of $- 1$ ?
19789	Convert from Degrees to Radians	200deg	$200$ degrees
19790	Find the Second Derivative	y=xe^(-x^2)	$y = x e^{- x^{2}}$
19791	Factor	6x^2-4ax-9bx+6ab	$6 x^{2} - 4 a x - 9 b x + 6 a b$
19792	Find the Exact Value	sin(80 degrees )csc(80 degrees )	$\sin (80 °) \csc (80 °)$
19793	Solve the Inequality for l	p=2l+2w	$p = 2 l + 2 w$
19794	Simplify	(4^3 square root of 4)/3	$\frac{4^{3} \sqrt{4}}{3}$
19795	Simplify	( fourth root of x^8z^16)÷( cube root of x^3z^9)	$\sqrt[4]{x^{8} z^{16}} \div \sqrt[3]{x^{3} z^{9}}$
19796	Simplify	(sec(theta)^2)/(tan(theta))-1/(cot(theta))	$\frac{\sec^{2} (θ)}{\tan (θ)} - \frac{1}{\cot (θ)}$
19797	Graph	y=2x y=2x^2-4	$y = 2 x$ $y = 2 x^{2} - 4$
19798	Simplify	7/4xy+7/3y^3+y^3-11/4xy	$\frac{7}{4} x y + \frac{7}{3} y^{3} + y^{3} - \frac{11}{4} x y$
19799	Find the Exact Value	1/( log base 2 of 30)+1/( log base 3 of 30)+1/( log base 5 of 30)	$\frac{1}{\log_{2} (30)} + \frac{1}{\log_{3} (30)} + \frac{1}{\log_{5} (30)}$
19800	Determine if Linear	y=4+(x^5)/3	$y = 4 + \frac{x^{5}}{3}$