Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33701	Simplify	-2y^3-y^2+y^2+y^3	$- 2 y^{3} - y^{2} + y^{2} + y^{3}$
33702	Factor	3c-cd+3d-c^2	$3 c - c d + 3 d - c^{2}$
33703	Simplify	((4^-6)/(4^-6))^5	${(\frac{4^{- 6}}{4^{- 6}})}^{5}$
33704	Evaluate the Summation	6 sum from p=4 to 8 of -6p+p^2	$6 \sum_{p = 4}^{8} - 6 p + p^{2}$
33705	Simplify the Radical Expression	(z^(-4/3))^(-6/5)	${(z^{- \frac{4}{3}})}^{- \frac{6}{5}}$
33706	Simplify the Radical Expression	(- square root of -32)( square root of -14)	$(- \sqrt{- 32}) (\sqrt{- 14})$
33707	Find dy/dx	square root of x+2y=5y	$\sqrt{x + 2 y} = 5 y$
33708	Evaluate	3 log base 9 of x^2=6 log base 9 of x	$3 \log_{9} (x^{2}) = 6 \log_{9} (x)$
33709	Solve for x in Radians	sin(x)^2=3cos(x)^2	$\sin^{2} (x) = 3 \cos^{2} (x)$
33710	Find the Domain and Range	y=(x^2-5x+4)/(x-4)	$y = \frac{x^{2} - 5 x + 4}{x - 4}$
33711	Write in Standard Form	xy^2-2x^2y+3y^3-6x^2y+4xy^2	$x y^{2} - 2 x^{2} y + 3 y^{3} - 6 x^{2} y + 4 x y^{2}$
33712	Simplify	( cube root of 54)÷( cube root of 2)	$\sqrt[3]{54} \div \sqrt[3]{2}$
33713	Simplify	(2y+3)/(y^2-1)*(1-y)/(y+1)	$\frac{2 y + 3}{y^{2} - 1} \cdot \frac{1 - y}{y + 1}$
33714	Expand Using Sum/Difference Formulas	sin(pi/4+x)	$\sin (\frac{π}{4} + x)$
33715	Find the Equation Using Slope-Intercept Form	(5,0) ; slope 0	$(5, 0)$ ; slope $0$
33716	Find dy/dx	y=(sin(2x))/4	$y = \frac{\sin (2 x)}{4}$
33717	Evaluate	7*(5+30s-45t)	$7 \cdot (5 + 30 s - 45 t)$
33718	Find the Antiderivative	f(x)=4x-6x^2+1	$f (x) = 4 x - 6 x^{2} + 1$
33719	Solve for x	(3x-1)/(3x)+7/x=-2/3	$\frac{3 x - 1}{3 x} + \frac{7}{x} = \frac{- 2}{3}$
33720	Find the Antiderivative	((x+2)^2)/(x^4)	$\frac{{(x + 2)}^{2}}{x^{4}}$
33721	Evaluate	1/2(30)^21/13	$\frac{1}{2} \cdot {(30)}^{2} \cdot \frac{1}{13}$
33722	Find the Product	3x^2(2xy-3xy^2+4x^2y^3)	$3 x^{2} (2 x y - 3 x y^{2} + 4 x^{2} y^{3})$
33723	Solve for x	-1/3-(3x+2)/x=4/(3x)	$\frac{- 1}{3} - \frac{3 x + 2}{x} = \frac{4}{3 x}$
33724	Solve for x	cube root of 2x^2+1=-2	$\sqrt[3]{2 x^{2} + 1} = - 2$
33725	Solve for x	6+4/5x=9/10x	$6 + \frac{4}{5} x = \frac{9}{10} x$
33726	Evaluate	-21+-6(23-1)	$- 21 + - 6 (23 - 1)$
33727	Simplify	-(2 square root of 2)/2	$- \frac{2 \sqrt{2}}{2}$
33728	Graph	y=a^x , a>1	$y = a^{x}$ , $a > 1$
33729	Simplify	((36257x^5x^-4)/(z^8))^0	${(\frac{36257 x^{5} x^{- 4}}{z^{8}})}^{0}$
33730	Find the Roots (Zeros)	(x^3+9)(x^2-4)=0	$(x^{3} + 9) (x^{2} - 4) = 0$
33731	Solve for x	(16)^4=2^((1/2)x)	${(16)}^{4} = 2^{(\frac{1}{2}) x}$
33732	Solve the System of Equations	-8x-7y=61 and x+y=-8	$- 8 x - 7 y = 61$ and $x + y = - 8$
33733	Rationalize the Denominator	y/( square root of 2x+ square root of 2y)	$\frac{y}{\sqrt{2 x} + \sqrt{2 y}}$
33734	Write the Fraction in Simplest Form	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
33735	Solve for c	(ab-c)/d=f	$\frac{a b - c}{d} = f$
33736	Simplify	(-(-10)+- square root of (-10)^2-43-1)/(2(3))	$\frac{- (- 10) + - \sqrt{{(- 10)}^{2} - 4 \cdot 3 \cdot - 1}}{2 (3)}$
33737	Solve the Function Operation	f(x)=( fifth root of x-4)/8 ; find f^-1(x)	$f (x) = \frac{\sqrt[5]{x} - 4}{8}$ ; find $f^{- 1} (x)$
33738	Simplify	(5m^3)/( square root of 10m)	$\frac{5 m^{3}}{\sqrt{10 m}}$
33739	Solve for x	(1/2)^(-x)=1.6	${(\frac{1}{2})}^{- x} = 1.6$
33740	Solve by Graphing	x-2y=-8 y=5/2x	$x - 2 y = - 8$ $y = \frac{5}{2} x$
33741	Simplify the Radical Expression	fifth root of x^7* cube root of x^2	$\sqrt[5]{x^{7}} \cdot \sqrt[3]{x^{2}}$
33742	Find the Area	circle (2cm)	 $\begin{array}{r} r = & 2 cm \end{array}$
33743	Solve for x	7/4x-3=2+9/2x	$\frac{7}{4} x - 3 = 2 + \frac{9}{2} x$
33744	Evaluate	-2(1-4(8+(-5)))	$- 2 (1 - 4 (8 + (- 5)))$
33745	Solve for w	8/(2w+1)=3/w	$\frac{8}{2 w + 1} = \frac{3}{w}$
33746	Write in Exponential Form	log base -1/2 of x=-7	$\log_{- \frac{1}{2}} (x) = - 7$
33747	Evaluate the Integral	integral of 2^(4x^2)x with respect to x	$\int 2^{4 x^{2}} x d x$
33748	Evaluate	((4^3)/y)^3	${(\frac{4^{3}}{y})}^{3}$
33749	Simplify the Radical Expression	cube root of sixth root of y^2	$\sqrt[3]{\sqrt[6]{y^{2}}}$
33750	Convert from Radians to Degrees	1/( square root of 3)	$\frac{1}{\sqrt{3}}$
33751	Find the Product	-7c^3d^2(9c^2d^2-4cd^5)	$- 7 c^{3} d^{2} (9 c^{2} d^{2} - 4 c d^{5})$
33752	Find the Derivative - d/dx	y=e^(6x^3+2x^2)	$y = e^{6 x^{3} + 2 x^{2}}$
33753	Multiply	cube root of 4* cube root of 8	$\sqrt[3]{4} \cdot \sqrt[3]{8}$
33754	Solve for x	y=x+2 square root of x-1	$y = x + 2 \sqrt{x - 1}$
33755	Write in Slope-Intercept Form	y-4=x	$y - 4 = x$
33756	Find the Domain and Range	y=1/(1+x^2)	$y = \frac{1}{1 + x^{2}}$
33757	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 -3 ?	What is the equation of the line that passes through the point $(- 1, - 5)$ and has a slope of $- 3$ ?
33758	Evaluate the Integral	integral of 9/(theta^2)cos(9/theta) with respect to theta	$\int \frac{9}{θ^{2}} \cos (\frac{9}{θ}) d θ$
33759	Solve for D	2x^2D-5y+1=4x+2y^2D	$2 x^{2} D - 5 y + 1 = 4 x + 2 y^{2} D$
33760	Evaluate	sin(30 degrees )+cos(60 degrees )	$\sin (30 °) + \cos (60 °)$
33761	Subtract	-1/4-1/2	$\frac{- 1}{4} - \frac{1}{2}$
33762	Find the x and y Intercepts	11+x/3=-2y+6	$11 + \frac{x}{3} = - 2 y + 6$
33763	Simplify	10b-7a+(-b)+10a-9b+5	$10 b - 7 a + (- b) + 10 a - 9 b + 5$
33764	Simplify	(( cube root of x^2)/( square root of x))^-6	${(\frac{\sqrt[3]{x^{2}}}{\sqrt{x}})}^{- 6}$
33765	Simplify	-3ab^2(a^3b^2-2a^2b)	$- 3 a b^{2} (a^{3} b^{2} - 2 a^{2} b)$
33766	Simplify	x/(y/x)	$\frac{x}{\frac{y}{x}}$
33767	Solve the Inequality for x	x^2+11x>=7x+32	$x^{2} + 11 x \geq 7 x + 32$
33768	Simplify the Radical Expression	cube root of (27a^4)/(8b^3)	$\sqrt[3]{\frac{27 a^{4}}{8 b^{3}}}$
33769	Multiply	(x-4)/(2x-18)*(x^2-7x-18)/(x^2-16)	$\frac{x - 4}{2 x - 18} \cdot \frac{x^{2} - 7 x - 18}{x^{2} - 16}$
33770	Simplify	5(x+3)(x+2)-3(x^2+2x+1)	$5 (x + 3) (x + 2) - 3 (x^{2} + 2 x + 1)$
33771	Simplify	cube root of square root of fourth root of h	$\sqrt[3]{\sqrt{\sqrt[4]{h}}}$
33772	Find the Derivative - d/dx	y=(e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))	$y = \frac{e^{2 x} - e^{- 2 x}}{e^{2 x} + e^{- 2 x}}$
33773	Simplify	square root of 2*1	$\sqrt{2} \cdot 1$
33774	Evaluate	i^8*i^60	$i^{8} \cdot i^{60}$
33775	Evaluate	2pi(4.5)(11)	$2 π (4.5) (11)$
33776	Solve for x	1/(2x)-(x-1)/(2x^2)=3/x	$\frac{1}{2 x} - \frac{x - 1}{2 x^{2}} = \frac{3}{x}$
33777	Solve for t	r=r_0+1/2at^2	$r = r_{0} + \frac{1}{2} a t^{2}$
33778	Find the Exact Value	csc((-pi)/3)	$\csc (\frac{- π}{3})$
33779	Simplify	(p^2r^0)/(p^0r^3)	$\frac{p^{2} r^{0}}{p^{0} r^{3}}$
33780	Solve Using the Quadratic Formula	4x^2=x	$4 x^{2} = x$
33781	Find the Antiderivative	(-9x^(4/5)+3x^-6+9x^3-15)dx	$(- 9 x^{\frac{4}{5}} + 3 x^{- 6} + 9 x^{3} - 15) d x$
33782	Find the Axis of Symmetry	x=3(y+4)^2-9	$x = 3 {(y + 4)}^{2} - 9$
33783	Evaluate	21+74*10^(-0.03(10))	$21 + 74 \cdot 10^{- 0.03 (10)}$
33784	Multiply	5x^2+x and 4x^3+2x^2-4x	$5 x^{2} + x$ and $4 x^{3} + 2 x^{2} - 4 x$
33785	Find the Degree	(p^5q^4)/9+q	$\frac{p^{5} q^{4}}{9} + q$
33786	Solve the System of Equations	x-2y=-19 and -3x+5y=48	$x - 2 y = - 19$ and $- 3 x + 5 y = 48$
33787	Find dy/dx	y=4cos(-5x^2)	$y = 4 \cos (- 5 x^{2})$
33788	Find the Antiderivative	f(x)=(x-1)/(x+2)	$f (x) = \frac{x - 1}{x + 2}$
33789	Convert to a Decimal	When I am divided into 16 I have a remainder of 2 What possible numbers can I be?	When I am divided into $16$ I have a remainder of $2$ What possible numbers can I be?
33790	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,2) and has a slope of -5/4 ?	What is the equation of the line that passes through the point $(- 4, 2)$ and has a slope of $- \frac{5}{4}$ ?
33791	Write in Standard Form	y+1=-2x-3	$y + 1 = - 2 x - 3$
33792	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+26x^2+15x+2 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 26 x^{2} + 15 x + 2$ is divided by $3 x + 2$
33793	Find the Antiderivative	f(x)=-x	$f (x) = - x$
33794	Solve for x	fourth root of 3x=12	$\sqrt[4]{3 x} = 12$
33795	Graph	(negative infinity,6] intersect (2,10)	$(- \infty, 6] \cap (2, 10)$
33796	Find the x and y Intercepts	f(x)=x^5-7x^4+x^3-7x^2	$f (x) = x^{5} - 7 x^{4} + x^{3} - 7 x^{2}$
33797	Simplify	((2a^-2)/(4b^2))^0	${(\frac{2 a^{- 2}}{4 b^{2}})}^{0}$
33798	Evaluate	6(x-5)>13	$6 (x - 5) > 13$
33799	Find the GCF	14 and 49	$14$ and $49$
33800	Simplify	( square root of 32x^9y^2)/( square root of 2xy^-2)	$\frac{\sqrt{32 x^{9} y^{2}}}{\sqrt{2 x y^{- 2}}}$