Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
9701	Simplify	(x^-2y^-3)^2*2xy^2	${(x^{- 2} y^{- 3})}^{2} \cdot 2 x y^{2}$
9702	Find the Concavity	f(x)=-x^5+5x^4	$f (x) = - x^{5} + 5 x^{4}$
9703	Factor	6x^4y+6x^2-8x^3y	$6 x^{4} y + 6 x^{2} - 8 x^{3} y$
9704	Solve for x	14+3x=2+5x+4	$14 + 3 x = 2 + 5 x + 4$
9705	Find the Degree	9y^5+y-3y^3	$9 y^{5} + y - 3 y^{3}$
9706	Find the Degree, Leading Term, and Leading Coefficient	(x^2)/5+1-x^5	$\frac{x^{2}}{5} + 1 - x^{5}$
9707	Convert to Radical Form	(2x^2-6)^(1/2)	${(2 x^{2} - 6)}^{\frac{1}{2}}$
9708	Verify the Identity	(cos(pi/2-theta))/(sin(2theta))=(sec(theta))/2	$\frac{\cos (\frac{π}{2} - θ)}{\sin (2 θ)} = \frac{\sec (θ)}{2}$
9709	Find the Domain and Range	y=(2x-1)/(2-x)	$y = \frac{2 x - 1}{2 - x}$
9710	Solve for x	2 square root of 4x-1=8	$2 \sqrt{4 x - 1} = 8$
9711	Solve the Inequality for m	-4m>=-4	$- 4 m \geq - 4$
9712	Simplify	( square root of 8)( square root of 1/2)	$(\sqrt{8}) (\sqrt{\frac{1}{2}})$
9713	Solve for x	1 1/2x=7 1/2	$1 \frac{1}{2} x = 7 \frac{1}{2}$
9714	Solve the Function Operation	16-2t=2 3t+9	$16 - 2 t = 2$ $3 t + 9$
9715	Multiply	(x+ square root of 5)(x+ square root of 5)	$(x + \sqrt{5}) (x + \sqrt{5})$
9716	Solve for x	-4/(x+3)-6/(x-3)=1/(x^2-9)	$- \frac{4}{x + 3} - \frac{6}{x - 3} = \frac{1}{x^{2} - 9}$
9717	Simplify the Radical Expression	(2 cube root of 3)^3	${(2 \sqrt[3]{3})}^{3}$
9718	Simplify	(x^2-25)/(3-x)*(x-3)/(x+5)	$\frac{x^{2} - 25}{3 - x} \cdot \frac{x - 3}{x + 5}$
9719	Solve by Graphing	y=3x+5 and y=2x+4	$y = 3 x + 5$ and $y = 2 x + 4$
9720	Evaluate	(x+8)^3=525	${(x + 8)}^{3} = 525$
9721	Simplify/Condense	1/2( log base 6 of k^9- log base 6 of k^3)	$\frac{1}{2} (\log_{6} (k^{9}) - \log_{6} (k^{3}))$
9722	Simplify the Radical Expression	( square root of 10)^3	${(\sqrt{10})}^{3}$
9723	Simplify	2*36^(-1/2)+6^-1	$2 \cdot 36^{- \frac{1}{2}} + 6^{- 1}$
9724	Simplify the Radical Expression	x^4 square root of x^3	$x^{4} \sqrt{x^{3}}$
9725	Simplify	3v(7v-2)+3(v^2+2v+1)-3v(-5v+3)	$3 v (7 v - 2) + 3 (v^{2} + 2 v + 1) - 3 v (- 5 v + 3)$
9726	Find the Second Derivative	y=x^4+1/2x^-3+3/10x^6-1/2x^2	$y = x^{4} + \frac{1}{2} x^{- 3} + \frac{3}{10} x^{6} - \frac{1}{2} x^{2}$
9727	Solve for x	2(1-3(x+2))=-x	$2 (1 - 3 (x + 2)) = - x$
9728	Solve the Rational Equation for n	square root of n=9	$\sqrt{n} = 9$
9729	Solve for y	x^2-y^2=0	$x^{2} - y^{2} = 0$
9730	Simplify	2x^2+4x-3(x-x^2)+(x+2)(x-2)	$2 x^{2} + 4 x - 3 (x - x^{2}) + (x + 2) (x - 2)$
9731	Solve for t	u=(3t)/4+2	$u = \frac{3 t}{4} + 2$
9732	Simplify	3x cube root of 8x^9y^7	$3 x \sqrt[3]{8 x^{9} y^{7}}$
9733	Divide	(3t^4+4t^3-32t^2-5t-20)(t+4)^-1	$(3 t^{4} + 4 t^{3} - 32 t^{2} - 5 t - 20) {(t + 4)}^{- 1}$
9734	Simplify	x(3i^2)^3+2xi^12	$x {(3 i^{2})}^{3} + 2 x i^{12}$
9735	Solve the System of Equations	-2x-5y+2z=-28 -5x-2y+z=-16 -4x+y+2z=0	$- 2 x - 5 y + 2 z = - 28$ $- 5 x - 2 y + z = - 16$ $- 4 x + y + 2 z = 0$
9736	Find the Antiderivative	x/(1-x^2)	$\frac{x}{1 - x^{2}}$
9737	Find the Derivative - d/dx	y=3x(x^3-1)	$y = 3 x (x^{3} - 1)$
9738	Find the Inverse	f(x)=(5x)^(4/3)	$f (x) = {(5 x)}^{\frac{4}{3}}$
9739	Find the Domain and Range	f(x)=3/4 square root of x+12+3	$f (x) = \frac{3}{4} \sqrt{x + 12} + 3$
9740	Simplify	a(b+c-bc)-b(c+a-ac)+c(b-a)	$a (b + c - b c) - b (c + a - a c) + c (b - a)$
9741	Simplify	((x-y)^2)/(x+y)*(3x+3y)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{x + y} \cdot \frac{3 x + 3 y}{x^{2} - y^{2}}$
9742	Simplify the Radical Expression	square root of 3* square root of 5	$\sqrt{3} \cdot \sqrt{5}$
9743	Find the Inverse	y = cube root of x+2-5	$y = \sqrt[3]{x + 2} - 5$
9744	Evaluate	((-2a^3b^2c^0)/(3a^2b^3c^7))^-2	${(\frac{- 2 a^{3} b^{2} c^{0}}{3 a^{2} b^{3} c^{7}})}^{- 2}$
9745	Evaluate	4(x-2)+3(x+1)=3(x-1)	$4 (x - 2) + 3 (x + 1) = 3 (x - 1)$
9746	Evaluate	(6x^7)/(2x^4)	$\frac{6 x^{7}}{2 x^{4}}$
9747	Find the Antiderivative	f(x)=2/(x^3)-3/x	$f (x) = \frac{2}{x^{3}} - \frac{3}{x}$
9748	Graph	y=-x+5 x-2y=-4	$y = - x + 5$ $x - 2 y = - 4$
9749	Find the x and y Intercepts	f(x)=(-4x)/5+4	$f (x) = \frac{- 4 x}{5} + 4$
9750	Solve for u	-7u+11u+5=2u+31	$- 7 u + 11 u + 5 = 2 u + 31$
9751	Solve for x	7+x^(3/2)=71	$7 + x^{\frac{3}{2}} = 71$
9752	Solve the System of Equations	4x-5y=-6 and -6x+7y=12	$4 x - 5 y = - 6$ and $- 6 x + 7 y = 12$
9753	Evaluate	cube root of 500/4+500/10	$\sqrt[3]{\frac{500}{4}} + \frac{500}{10}$
9754	Simplify the Radical Expression	4 square root of 27-2 square root of 12-5 square root of 75	$4 \sqrt{27} - 2 \sqrt{12} - 5 \sqrt{75}$
9755	Solve for x	2 natural log of x- natural log of 3-x = natural log of 1/2+ natural log of 8	$2 \ln (x) - \ln (3 - x) = \ln (\frac{1}{2}) + \ln (8)$
9756	Simplify	square root of 9x^4* cube root of 27x^10	$\sqrt{9 x^{4}} \cdot \sqrt[3]{27 x^{10}}$
9757	Find the Reference Angle	sec(855 degrees )	$\sec (855 °)$
9758	Simplify	(x^2-1)/(5xy)*(x^2y)/(1+x)	$\frac{x^{2} - 1}{5 x y} \cdot \frac{x^{2} y}{1 + x}$
9759	Factor	b^3+1/27a^3	$b^{3} + \frac{1}{27} a^{3}$
9760	Simplify	(r^3-6rs+6s^2)-(3r^3+rs-4s^2)	$(r^{3} - 6 r s + 6 s^{2}) - (3 r^{3} + r s - 4 s^{2})$
9761	Solve for m	-1/2=m-7/4	$- \frac{1}{2} = m - \frac{7}{4}$
9762	Divide	((a^2-2a+1)/6)÷(a^2-1)	$\frac{a^{2} - 2 a + 1}{6} \div (a^{2} - 1)$
9763	Find the Degree, Leading Term, and Leading Coefficient	9+x/5	$9 + \frac{x}{5}$
9764	Simplify	6x1/(x^-5)x^-2	$6 x \cdot \frac{1}{x^{- 5}} \cdot x^{- 2}$
9765	Solve for x	log base 4 of x-4=( log base 4 of x)/( log base 4 of 4)	$\log_{4} (x - 4) = \frac{\log_{4} (x)}{\log_{4} (4)}$
9766	Verify the Identity	1/(125tan(theta)^3)=(cot(theta)^3)/125	$\frac{1}{125 \tan^{3} (θ)} = \frac{(\cot^{3} (θ))}{125}$
9767	Solve for x	square root of (3x)/4=6	$\sqrt{\frac{3 x}{4}} = 6$
9768	Evaluate the Limit	limit as x approaches infinity of (x^2+5)/6	$lim_{x \to \infty} \frac{x^{2} + 5}{6}$
9769	Solve for θ in Radians	4cos(theta)^2=1	$4 \cos^{2} (θ) = 1$
9770	Simplify	1 7/8+1/8	$1 \frac{7}{8} + \frac{1}{8}$
9771	Determine if Odd, Even, or Neither	f(x) = log base 3 of x^8	$f (x) = \log_{3} (x^{8})$
9772	Solve the System of Inequalities	y<=-2/3x-3 y>=3x+8	$y \leq - \frac{2}{3} x - 3$ $y \geq 3 x + 8$
9773	Solve for x	(x+1)/2+(5x-2)/3=0	$\frac{x + 1}{2} + \frac{5 x - 2}{3} = 0$
9774	Simplify	(4^3)÷(2^3)	$4^{3} \div 2^{3}$
9775	Simplify	(1/10x-2/3)-(4/5x-1/6)	$(\frac{1}{10} x - \frac{2}{3}) - (\frac{4}{5} x - \frac{1}{6})$
9776	Solve for x	2+5(x+3)-3(x-4)=x+2(2x+4)	$2 + 5 (x + 3) - 3 (x - 4) = x + 2 (2 x + 4)$
9777	Write in Standard Form	6+y=8	$6 + y = 8$
9778	Find the Inverse	f(x)=x/(7-x)	$f (x) = \frac{x}{7 - x}$
9779	Simplify	(8x-3y)-(2y-13+5x)	$(8 x - 3 y) - (2 y - 13 + 5 x)$
9780	Find the Slope	Find the slope of the line passing through the points (-9,-6) and (-4,5)	Find the slope of the line passing through the points $(- 9, - 6)$ and $(- 4, 5)$
9781	Convert to Radical Form	16/( fourth root of 16^3)	$\frac{16}{\sqrt[4]{16^{3}}}$
9782	Simplify	((-a-b)^2)/(a+b)	$\frac{{(- a - b)}^{2}}{a + b}$
9783	Simplify	12 square root of 25/64	$12 \sqrt{\frac{25}{64}}$
9784	Find the Slope	(10,8) and (1,9)	$(10, 8)$ and $(1, 9)$
9785	Write in Slope-Intercept Form	0=-3x-4-2y	$0 = - 3 x - 4 - 2 y$
9786	Solve for y	4x-2+y=6-2x	$4 x - 2 + y = 6 - 2 x$
9787	Evaluate	square root of 3x = square root of x+6	$\sqrt{3 x} = \sqrt{x + 6}$
9788	Find the Concavity	f(x)=3/20x^5-2x^4+8x^3	$f (x) = \frac{3}{20} x^{5} - 2 x^{4} + 8 x^{3}$
9789	Find the Holes in the Graph	f(x)=(x^2-7x+12)/(x^3-5x^2+3x+9)	$f (x) = \frac{x^{2} - 7 x + 12}{x^{3} - 5 x^{2} + 3 x + 9}$
9790	Simplify	-5(2(x-3)+6)	$- 5 (2 (x - 3) + 6)$
9791	Write the Fraction in Simplest Form	(-10h^6)/((2h^-3)^5)	$\frac{- 10 h^{6}}{{(2 h^{- 3})}^{5}}$
9792	Solve the Inequality for x	4x+3<5x	$4 x + 3 < 5 x$
9793	Solve for m	4^m=(2^(m+6))/16	$4^{m} = \frac{2^{m + 6}}{16}$
9794	Graph	3x+5y<10 x-y<=1	$3 x + 5 y < 10$ $x - y \leq 1$
9795	Find the Domain	y = square root of 4x-x^2	$y = \sqrt{4 x - x^{2}}$
9796	Solve for x	5/2=(3x)/(x+5)	$\frac{5}{2} = \frac{3 x}{x + 5}$
9797	Simplify	1/(b^2-ab)-1/(ab-a^2)	$\frac{1}{b^{2} - a b} - \frac{1}{a b - a^{2}}$
9798	Simplify	(2x^3y^4)^(-2/3)	${(2 x^{3} y^{4})}^{- \frac{2}{3}}$
9799	Simplify	((x^2-x-2)/(x^2+6x+5))÷((2x^2-3x-2)/(4x^2-1))	$\frac{x^{2} - x - 2}{x^{2} + 6 x + 5} \div \frac{2 x^{2} - 3 x - 2}{4 x^{2} - 1}$
9800	Evaluate	square root of 1 4/5* square root of 0.2	$\sqrt{1 \frac{4}{5}} \cdot \sqrt{0.2}$