Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
23701	Evaluate	(6i)^3	${(6 i)}^{3}$
23702	Simplify	(2/(x+3)*(-x-5)/(x^3+2x^2-15x))÷(-2/(9-x^2))	$\frac{2}{x + 3} \cdot \frac{- x - 5}{x^{3} + 2 x^{2} - 15 x} \div \frac{- 2}{9 - x^{2}}$
23703	Evaluate	i^18i^24i^27*i^16	$i^{18} \cdot i^{24} \cdot i^{27} \cdot i^{16}$
23704	Evaluate the Limit	limit as x approaches 0 of (x+cos(5x)-1)/(-3x)	$lim_{x \to 0} \frac{x + \cos (5 x) - 1}{- 3 x}$
23705	Find the Derivative - d/dx	y=(tan(2x))/(1-cot(2x))	$y = \frac{\tan (2 x)}{1 - \cot (2 x)}$
23706	Simplify	(3x^2y)^3(2xy)	${(3 x^{2} y)}^{3} (2 x y)$
23707	Simplify	(9(8-2)-3(15-7))/(6(7-1)-3(17-9))	$\frac{9 (8 - 2) - 3 (15 - 7)}{6 (7 - 1) - 3 (17 - 9)}$
23708	Multiply	(3x^3)/(x^2-25)*(x^2+6x+5)/(x^2)	$\frac{3 x^{3}}{x^{2} - 25} \cdot \frac{x^{2} + 6 x + 5}{x^{2}}$
23709	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,0) and has a slope of 4/3 ?	What is the equation of the line that passes through the point $(- 3, 0)$ and has a slope of $\frac{4}{3}$ ?
23710	Find the Exact Value	sin(pi/6)cos(pi/6)-tan(pi/4)	$\sin (\frac{π}{6}) \cos (\frac{π}{6}) - \tan (\frac{π}{4})$
23711	Solve for x	(x+22)/(x+2)=30/10	$\frac{x + 22}{x + 2} = \frac{30}{10}$
23712	Determine if the Expression is a Factor Using Synthetic Division	x^3-3x+2 , x+2	$x^{3} - 3 x + 2$ , $x + 2$
23713	Solve for x	(5/6)^(4x)=(36/25)^(9-x)	${(\frac{5}{6})}^{4 x} = {(\frac{36}{25})}^{9 - x}$
23714	Evaluate	-( square root of 3)/2+1/2	$- \frac{\sqrt{3}}{2} + \frac{1}{2}$
23715	Simplify the Radical Expression	cube root of (27a^12)/9	$\sqrt[3]{\frac{27 a^{12}}{9}}$
23716	Solve the System of Equations	x=-3 y=4/3x+2	$x = - 3$ $y = \frac{4}{3} x + 2$
23717	Solve for x	x^(4/3)-16=0	$x^{\frac{4}{3}} - 16 = 0$
23718	Find the Derivative - d/dx	y=(sin(x^3+7)^5)^9	$y = {(\sin^{5} (x^{3} + 7))}^{9}$
23719	Find the GCF	9 and 27	$9$ and $27$
23720	Add	(-8+5x^2+6x)+(x^2-4-6x)	$(- 8 + 5 x^{2} + 6 x) + (x^{2} - 4 - 6 x)$
23721	Simplify the Radical Expression	x3/5y2/5	$x \frac{3}{5} y \frac{2}{5}$
23722	Evaluate the Limit	limit as x approaches square root of 3 of (x^2)/( square root of 12-x^2)	$lim_{x \to \sqrt{3}} \frac{x^{2}}{\sqrt{12 - x^{2}}}$
23723	Graph	F(x)=(x+2)/3	$F (x) = \frac{x + 2}{3}$
23724	Evaluate	(y^2-4y+9)-(3y^2-6y-9)	$(y^{2} - 4 y + 9) - (3 y^{2} - 6 y - 9)$
23725	Evaluate	1*( square root of 3)/2	$1 \cdot \frac{\sqrt{3}}{2}$
23726	Find the Asymptotes	y=tan(x-pi)	$y = \tan (x - π)$
23727	Solve for w	w^3-64=0	$w^{3} - 64 = 0$
23728	Find the Slope	(11,-3) and (7,9)	$(11, - 3)$ and $(7, 9)$
23729	Find the Asymptotes	x^2+y^2+6x-2y-15=0	$x^{2} + y^{2} + 6 x - 2 y - 15 = 0$
23730	Solve for x	x^2+(y-3 square root of 2x)^2=1	$x^{2} + {(y - 3 \sqrt{2} x)}^{2} = 1$
23731	Solve for a	8=a(2)^2	$8 = a {(2)}^{2}$
23732	Multiply	84/3*(48x)/95	$\frac{84}{3} \cdot \frac{48 x}{95}$
23733	Simplify	-(15r^6s^7t^4)/(3r^2s^9t^7)	$- \frac{15 r^{6} s^{7} t^{4}}{3 r^{2} s^{9} t^{7}}$
23734	Simplify the Radical Expression	(2 square root of 2)/2	$\frac{2 \sqrt{2}}{2}$
23735	Find the Inverse	f(x)=(2x+5)^2-6	$f (x) = {(2 x + 5)}^{2} - 6$
23736	Evaluate	(x+4)/x=3/7	$\frac{x + 4}{x} = \frac{3}{7}$
23737	Simplify	(8c^9d^5)(4c^2d^3)-(19c^10d)(cd^7)	$(8 c^{9} d^{5}) (4 c^{2} d^{3}) - (19 c^{10} d) (c d^{7})$
23738	Solve for r	9r^2+21r+9=-r^2	$9 r^{2} + 21 r + 9 = - r^{2}$
23739	Solve the Inequality for x	-2x^2+15x+150<9x+10	$- 2 x^{2} + 15 x + 150 < 9 x + 10$
23740	Solve for x	4^(3x)=1/4	$4^{3 x} = \frac{1}{4}$
23741	Simplify	1/3x^2+(x^2)/4	$\frac{1}{3} x^{2} + \frac{x^{2}}{4}$
23742	Simplify	(5 square root of 2)/( square root of 8)	$\frac{5 \sqrt{2}}{\sqrt{8}}$
23743	Simplify	(4i-2)-(5i+1)	$(4 i - 2) - (5 i + 1)$
23744	Simplify	(49-y^2)/(6y^2+42y)*(48y^3)/(y^2-10y+21)	$\frac{49 - y^{2}}{6 y^{2} + 42 y} \cdot \frac{48 y^{3}}{y^{2} - 10 y + 21}$
23745	Find the Cosecant Given the Point	(1,- square root of 3)	$(1, - \sqrt{3})$
23746	Solve the Inequality for x	2x^2+x-15<0	$2 x^{2} + x - 15 < 0$
23747	Simplify	3+7/8-5/6	$3 + \frac{7}{8} - \frac{5}{6}$
23748	Solve for x	log base 7 of 2x+3 = log base 7 of 11+ log base 7 of 3	$\log_{7} (2 x + 3) = \log_{7} (11) + \log_{7} (3)$
23749	Solve the System of Equations	5x-5y=0 and 4x-6y=-18	$5 x - 5 y = 0$ and $4 x - 6 y = - 18$
23750	Evaluate the Integral	integral of 4(tan(x)^2+tan(x)^4) with respect to x	$\int 4 (\tan^{2} (x) + \tan^{4} (x)) d x$
23751	Graph	(x^3-16x)/(-4x^2+4x+24)	$\frac{x^{3} - 16 x}{- 4 x^{2} + 4 x + 24}$
23752	Solve the Inequality for g	2>=g/-4	$2 \geq \frac{g}{- 4}$
23753	Simplify	e^x*5e^(x+3)	$e^{x} \cdot 5 e^{x + 3}$
23754	Simplify	cos(x)^2+cos(x)+sin(x)^2-1	$\cos^{2} (x) + \cos (x) + \sin^{2} (x) - 1$
23755	Divide Using Synthetic Division	(4x^4+14x^3+13x^2+x-2)/(x+2)	$\frac{4 x^{4} + 14 x^{3} + 13 x^{2} + x - 2}{x + 2}$
23756	Evaluate the Integral	integral from 0 to 12 of square root of 36-(x-6)^2 with respect to x	$\int_{0}^{12} \sqrt{36 - {(x - 6)}^{2}} d x$
23757	Evaluate the Limit	limit as x approaches 1 of (2x+y)/(x+1)=5	$lim_{x \to 1} \frac{2 x + y}{x + 1} = 5$
23758	Solve for y	2(y-3)=2x-6	$2 (y - 3) = 2 x - 6$
23759	Simplify	(2/(3^(-3/2)))^(1/3)	${(\frac{2}{3^{\frac{- 3}{2}}})}^{\frac{1}{3}}$
23760	Solve for x	-3.6x-(-4.8x+4)=9x+1.1(-8x-6)	$- 3.6 x - (- 4.8 x + 4) = 9 x + 1.1 (- 8 x - 6)$
23761	Solve the Function Operation	f(x)=(x-8)^(1/4) ; find f^-1(x)	$f (x) = {(x - 8)}^{\frac{1}{4}}$ ; find $f^{- 1} (x)$
23762	Solve for y	1/4y+3=-5x	$\frac{1}{4} y + 3 = - 5 x$
23763	Write in Standard Form	3x-5x^2+8x^4-2	$3 x - 5 x^{2} + 8 x^{4} - 2$
23764	Solve the System of Equations	-7x+9y+10z=10 -x+y+z=3 x-2y-z=1	$- 7 x + 9 y + 10 z = 10$ $- x + y + z = 3$ $x - 2 y - z = 1$
23765	Solve the Function Operation	h(x)=2/3x-1 , h(9)	$h (x) = \frac{2}{3} x - 1$ , $h (9)$
23766	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-4) and has a slope of -1/6 ?	What is the equation of the line that passes through the point $(6, - 4)$ and has a slope of $- \frac{1}{6}$ ?
23767	Find the Concavity	1/4x^4+4x^3+24x^2	$\frac{1}{4} x^{4} + 4 x^{3} + 24 x^{2}$
23768	Find the Domain and Range	y=1/2csc(2x)	$y = \frac{1}{2} \csc (2 x)$
23769	Find the Slope	y=x^-1	$y = x^{- 1}$
23770	Graph Using a Table of Values	y=(1/3)^x+1	$y = {(\frac{1}{3})}^{x} + 1$
23771	Solve by Substitution	x=2y y=x-2	$x = 2 y$ $y = x - 2$
23772	Simplify	(x+1)/( square root of x^2-1)	$\frac{x + 1}{\sqrt{x^{2} - 1}}$
23773	Simplify	(-(2x^(1/6))/(3y^4))^-3	${(- \frac{2 x^{\frac{1}{6}}}{3 y^{4}})}^{- 3}$
23774	Add	1/2x+x	$\frac{1}{2} x + x$
23775	Find the Derivative - d/dx	xy^2-5y+6	$x y^{2} - 5 y + 6$
23776	Find the Inverse	-(3x)/5	$- \frac{3 x}{5}$
23777	Find the Reference Angle	tan(60 degrees )	$\tan (60 °)$
23778	Write in Standard Form	(x-y)^2	${(x - y)}^{2}$
23779	Find the x and y Intercepts	f(x)=-x^3+x^2+x-1	$f (x) = - x^{3} + x^{2} + x - 1$
23780	Find the Other Trig Values in Quadrant III	cos(theta)=-1	$\cos (θ) = - 1$
23781	Simplify	square root of s^7 fifth root of s^7	$\sqrt{s^{7}} \sqrt[5]{s^{7}}$
23782	Convert from Radians to Degrees	cos(pi/3)	$\cos (\frac{π}{3})$
23783	Solve for c	2x^2+x+c=0	$2 x^{2} + x + c = 0$
23784	Solve for x	(3x+4)^2-3(x+2)=0	${(3 x + 4)}^{2} - 3 (x + 2) = 0$
23785	Simplify	(a+1)/(3a)+(b-3)/(5b)	$\frac{a + 1}{3 a} + \frac{b - 3}{5 b}$
23786	Simplify	( square root of 9x^5y^3)/(5x^4y^2)	$\frac{\sqrt{9 x^{5} y^{3}}}{5 x^{4} y^{2}}$
23787	Find dy/dx	1+3y^3=x^2	$1 + 3 y^{3} = x^{2}$
23788	Solve by Factoring	(x+3)^2+6(x+3)+5=0	${(x + 3)}^{2} + 6 (x + 3) + 5 = 0$
23789	Evaluate	2/3*1/3+(1/2)÷(2/3)	$\frac{2}{3} \cdot \frac{1}{3} + \frac{1}{2} \div \frac{2}{3}$
23790	Integrate By Parts	integral from negative infinity to 0 of (xe^x)/((x+1)^2) with respect to x	$\int_{- \infty}^{0} \frac{x e^{x}}{{(x + 1)}^{2}} d x$
23791	Solve for x	square root of x+1+ square root of x-1=2	$\sqrt{x + 1} + \sqrt{x - 1} = 2$
23792	Simplify	6y(4y*2-9y-7)	$6 y (4 y \cdot 2 - 9 y - 7)$
23793	Solve for a	9/(a+3)=1-a/(a-3)	$\frac{9}{a + 3} = 1 - \frac{a}{a - 3}$
23794	Factor	-4/5(30x-40)+(42x+4)	$- \frac{4}{5} (30 x - 40) + (42 x + 4)$
23795	Simplify	(-64a^15a^-7b^-3)/(-8a^2b^-3)	$\frac{- 64 a^{15} a^{- 7} b^{- 3}}{- 8 a^{2} b^{- 3}}$
23796	Evaluate	-\|-10\|+(-3)+\|5\|	$- \| - 10 \| + (- 3) + \| 5 \|$
23797	Evaluate	(x^2y^3)/(xy)	$\frac{x^{2} y^{3}}{x y}$
23798	Add	7/(6x)+1/(6x^2)	$\frac{7}{6 x} + \frac{1}{6 x^{2}}$
23799	Solve for s	-1/2s+6=23	$- \frac{1}{2} s + 6 = 23$
23800	Graph	y=1/2x+-3	$y = \frac{1}{2} x + - 3$