Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
9401	Solve the Function Operation	16-3p=3 2p+5	$16 - 3 p = 3$ $2 p + 5$
9402	Solve the System of Equations	x+y=4 y=-x+4	$x + y = 4$ $y = - x + 4$
9403	Find the Derivative - d/dx	square root of 3x^3	$\sqrt{3 x^{3}}$
9404	Solve for b	(4(b-2))/5=8	$\frac{4 (b - 2)}{5} = 8$
9405	Find the End Behavior	y=-3x+6x^2-1	$y = - 3 x + 6 x^{2} - 1$
9406	Simplify	1/3(6ab-9b)+2/3(9ab+12b)	$\frac{1}{3} (6 a b - 9 b) + \frac{2}{3} (9 a b + 12 b)$
9407	Evaluate the Integral	integral from 1 to 2 of (x+1)e^(-2x) with respect to x	$\int_{1}^{2} (x + 1) e^{- 2 x} d x$
9408	Graph	F(x)=[x+1]	$F (x) = [x + 1]$
9409	Solve for x	ax+2d=5cx+3b	$a x + 2 d = 5 c x + 3 b$
9410	Evaluate	(9^2-15*2)÷17	$(9^{2} - 15 \cdot 2) \div 17$
9411	Solve the Function Operation	Given f(x)=-x+2 ; find f(6)	Given $f (x) = - x + 2$ ; find $f (6)$
9412	Solve for x	1/2x+7-1/4x=19/2	$\frac{1}{2} x + 7 - \frac{1}{4} x = \frac{19}{2}$
9413	Write the Fraction in Simplest Form	((4v^5)^3)/(-2v^-2)	$\frac{{(4 v^{5})}^{3}}{- 2 v^{- 2}}$
9414	Evaluate	mg=8	$mg = 8$
9415	Simplify	(3x^4)/(5x^4)	$\frac{3 x^{4}}{5 x^{4}}$
9416	Simplify	(2ab)/c-(13b)/(11a)	$\frac{2 a b}{c} - \frac{13 b}{11 a}$
9417	Solve the Function Operation	f(x)=2x+5 g(x)=x^2-5x+15 Find: (fog)(x)	$f (x) = 2 x + 5$ $g (x) = x^{2} - 5 x + 15$ Find: $((f \circ g)) (x)$
9418	Find the x and y Intercepts	y=(3x)^3	$y = {(3 x)}^{3}$
9419	Simplify	(-2x^2)^-3(4x^8)	${(- 2 x^{2})}^{- 3} (4 x^{8})$
9420	Solve the Inequality for a	a/-8+15>23	$\frac{a}{- 8} + 15 > 23$
9421	Write with Rational (Fractional) Exponents	square root of square root of 625	$\sqrt{\sqrt{625}}$
9422	Evaluate	y=e^-3	$y = e^{- 3}$
9423	Simplify	square root of (80x^9y^6)/(5xy^2)	$\sqrt{\frac{80 x^{9} y^{6}}{5 x y^{2}}}$
9424	Solve for x	1/2(16-x)=-12(x+7)	$\frac{1}{2} (16 - x) = - 12 (x + 7)$
9425	Find the Antiderivative	-(x^2)/2	$- \frac{x^{2}}{2}$
9426	Solve the Rational Equation for x	(x-2)^(1/3)-3=-5	${(x - 2)}^{\frac{1}{3}} - 3 = - 5$
9427	Solve for z	e^(3z)=15	$e^{3 z} = 15$
9428	Solve the System of Equations	2x=y-10 x+7=y	$2 x = y - 10$ $x + 7 = y$
9429	Solve the Inequality for m	3\|m+7\|-9<30	$3 \| m + 7 \| - 9 < 30$
9430	Write in Standard Form	2x^2+y^2+10y+19=0	$2 x^{2} + y^{2} + 10 y + 19 = 0$
9431	Find the Product	4x^2(3x^2+1)	$4 x^{2} (3 x^{2} + 1)$
9432	Solve for p	6-4(3p-2)=6(1-2p)-1	$6 - 4 (3 p - 2) = 6 (1 - 2 p) - 1$
9433	Find the Coterminal Angle	(-9pi)/4	$\frac{- 9 π}{4}$
9434	Evaluate the Integral	integral of (3 natural log of x)/(2x) with respect to x	$\int \frac{3 \ln (x)}{2 x} d x$
9435	Solve the Function Operation	V_x=6 , 0m/syV_y=-8 , 0m/s	$V_{x} = 6$ , $0 \frac{m}{s} y V_{y} = - 8$ , $0 \frac{m}{s}$
9436	Solve for b	square root of 9-b = square root of 1-9b	$\sqrt{9 - b} = \sqrt{1 - 9 b}$
9437	Solve for x in Degrees	4sin(x)+2 square root of 3=0	$4 \sin (x) + 2 \sqrt{3} = 0$
9438	Simplify	( square root of 15x^4y^13)/( square root of 3x^3y^4)	$\frac{\sqrt{15 x^{4} y^{13}}}{\sqrt{3 x^{3} y^{4}}}$
9439	Simplify	( cube root of 24x^2y^5)/( cube root of 3x^5y^2)	$\frac{\sqrt[3]{24 x^{2} y^{5}}}{\sqrt[3]{3 x^{5} y^{2}}}$
9440	Solve for p	m*n^p=q	$m \cdot n^{p} = q$
9441	Simplify	2 square root of x- square root of x+3 square root of x	$2 \sqrt{x} - \sqrt{x} + 3 \sqrt{x}$
9442	Find the Inverse	y=(2+3x)/(7-x)	$y = \frac{2 + 3 x}{7 - x}$
9443	Evaluate	cos(theta)+sin(theta)*tan(theta)=2	$\cos (θ) + \sin (θ) \cdot \tan (θ) = 2$
9444	Solve the System of Equations	y=-1/4x-2 x+4y=-8	$y = - \frac{1}{4} x - 2$ $x + 4 y = - 8$
9445	Simplify	(11+3x^3)+(4x^2-2)+3x	$(11 + 3 x^{3}) + (4 x^{2} - 2) + 3 x$
9446	Solve for x	5(x-2)+2x=2(x-5)+x	$5 (x - 2) + 2 x = 2 (x - 5) + x$
9447	Simplify	( sixth root of 8a^5b^7)/( sixth root of 2a^2b^3)	$\frac{\sqrt[6]{8 a^{5} b^{7}}}{\sqrt[6]{2 a^{2} b^{3}}}$
9448	Simplify	(4x-1)/(3x^2y)-(7x-1)/(3x^2y)	$\frac{4 x - 1}{3 x^{2} y} - \frac{7 x - 1}{3 x^{2} y}$
9449	Simplify the Radical Expression	square root of 8+ square root of 18	$\sqrt{8} + \sqrt{18}$
9450	Simplify the Radical Expression	(125x^5)^(4/3)	${(125 x^{5})}^{\frac{4}{3}}$
9451	Subtract	(2m-3+7m^2)-(3-9m^2-2m)	$(2 m - 3 + 7 m^{2}) - (3 - 9 m^{2} - 2 m)$
9452	Graph	3y>=2x-6	$3 y \geq 2 x - 6$
9453	Solve for x	15x square root of 3=30 square root of 2	$15 x \sqrt{3} = 30 \sqrt{2}$
9454	Simplify	square root of 1/7* square root of 7/11	$\sqrt{\frac{1}{7}} \cdot \sqrt{\frac{7}{11}}$
9455	Simplify	Subtract -2x^2-4x from 2x^2-2x-5	Subtract $- 2 x^{2} - 4 x$ from $2 x^{2} - 2 x - 5$
9456	Find the Exact Value	arcsin((-1/2)^-1)	$\arcsin ({(- \frac{1}{2})}^{- 1})$
9457	Simplify the Radical Expression	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{\frac{- 1}{5}}$
9458	Simplify	x cube root of 56x^4y^5	$x \sqrt[3]{56 x^{4} y^{5}}$
9459	Simplify	( square root of 2)÷( square root of 2)	$\sqrt{2} \div \sqrt{2}$
9460	Simplify the Radical Expression	square root of 8- square root of 9	$\sqrt{8} - \sqrt{9}$
9461	Simplify	(36k^4m^10)1/2	$(36 k^{4} m^{10}) \frac{1}{2}$
9462	Simplify	(3y^(3/4))/(2xy^(3/2))	$\frac{3 y^{\frac{3}{4}}}{2 x y^{\frac{3}{2}}}$
9463	Find the Domain	(x^2-1)/(5x^2+5x)	$\frac{x^{2} - 1}{5 x^{2} + 5 x}$
9464	Evaluate	(x^2+8x+8)+(-10x^2+5x)	$(x^{2} + 8 x + 8) + (- 10 x^{2} + 5 x)$
9465	Write the Fraction in Simplest Form	(6z^8)/(-2(z^-3)^5)	$\frac{6 z^{8}}{- 2 {(z^{- 3})}^{5}}$
9466	Simplify	i^29i^17i^32	$i^{29} \cdot i^{17} \cdot i^{32}$
9467	Divide	(14m^2-28m^8+7m)/(7m)	$\frac{14 m^{2} - 28 m^{8} + 7 m}{7 m}$
9468	Solve for x	5+x-3x=7-2x	$5 + x - 3 x = 7 - 2 x$
9469	Identify the Sequence	4 , 12 , 36 , 108 ; dots	$4$ , $12$ , $36$ , $108$ ; dots
9470	Graph	x^2+y>3	$x^{2} + y > 3$
9471	Evaluate Using the Given Value	Evaluate 3/2y-3+5/3z when y=6 and z=3	Evaluate $\frac{3}{2} y - 3 + \frac{5}{3} z$ when $y = 6$ and $z = 3$
9472	Simplify	(5^-1)/(5^-2)*5^-3	$\frac{5^{- 1}}{5^{- 2}} \cdot 5^{- 3}$
9473	Find the Percentage Rate of Change	g(t)=2(5/4)^t	$g (t) = 2 {(\frac{5}{4})}^{t}$
9474	Find the Domain	y=x/(x+1)	$y = \frac{x}{x + 1}$
9475	Find the Holes in the Graph	(3x^2-9x+6)/(5x-10)	$\frac{3 x^{2} - 9 x + 6}{5 x - 10}$
9476	Simplify the Radical Expression	(4 square root of 3a^3)^2	${(4 \sqrt{3 a^{3}})}^{2}$
9477	Evaluate the Integral	integral of ( square root of x)/2 with respect to x	$\int \frac{\sqrt{x}}{2} d x$
9478	Solve the Function Operation	f(x)=-x+6 g(x)=2x^2+x+2 Find: (fog)(x)	$f (x) = - x + 6$ $g (x) = 2 x^{2} + x + 2$ Find: $((f \circ g)) (x)$
9479	Simplify	2y cube root of 135x^6y^3	$2 y \sqrt[3]{135 x^{6} y^{3}}$
9480	Find the Exact Value	(( square root of 3)/2)/(-1/2)	$\frac{\frac{\sqrt{3}}{2}}{- \frac{1}{2}}$
9481	Find the Exact Value	(-( square root of 3)/2)/(1/2)	$\frac{- \frac{\sqrt{3}}{2}}{\frac{1}{2}}$
9482	Simplify the Radical Expression	15 square root of 2*-2 square root of 20	$15 \sqrt{2} \cdot - 2 \sqrt{20}$
9483	Evaluate	((- square root of 3)/2)/(-1/2)	$\frac{\frac{- \sqrt{3}}{2}}{- \frac{1}{2}}$
9484	Simplify	4 square root of x-3 square root of x-2 square root of x	$4 \sqrt{x} - 3 \sqrt{x} - 2 \sqrt{x}$
9485	Write the Fraction in Simplest Form	( square root of 6)/( square root of 3- square root of 5)	$\frac{\sqrt{6}}{\sqrt{3} - \sqrt{5}}$
9486	Find the Derivative - d/dx	y=cos(x)^2-sin(x)^2	$y = \cos^{2} (x) - \sin^{2} (x)$
9487	Solve the Inequality for X	-8X>-64	$- 8 X > - 64$
9488	Simplify	(2x^5*5y^3)^3	${(2 x^{5} \cdot 5 y^{3})}^{3}$
9489	Find the Domain	(35x^5y)÷((7x^3)/34)	$35 x^{5} y \div \frac{7 x^{3}}{34}$
9490	Solve for x	square root of 9x-1 = square root of 7x-3	$\sqrt{9 x} - 1 = \sqrt{7 x - 3}$
9491	Evaluate	(3x^2y^-3)/(12x^6y^3)	$\frac{3 x^{2} y^{- 3}}{12 x^{6} y^{3}}$
9492	Determine if a Polynomial	(r^3)/7	$\frac{r^{3}}{7}$
9493	Evaluate the Integral	integral from 0 to 1 of (x+1)/(x^2+2x-3) with respect to x	$\int_{0}^{1} \frac{x + 1}{x^{2} + 2 x - 3} d x$
9494	Find the Antiderivative	f(x)=3/(2x-5)-4	$f (x) = \frac{3}{2 x - 5} - 4$
9495	Simplify	(6x^2y^3(x+3y))/(18x^2y(x+3y)^2)	$\frac{6 x^{2} y^{3} (x + 3 y)}{18 x^{2} y {(x + 3 y)}^{2}}$
9496	Solve by Substitution	-5x+3y=51 and y=10x-8	$- 5 x + 3 y = 51$ and $y = 10 x - 8$
9497	Solve for x	1/3x+1/2x-2=1/2x-7	$\frac{1}{3} x + \frac{1}{2} x - 2 = \frac{1}{2} x - 7$
9498	Find the Roots (Zeros)	-4-4i	$- 4 - 4 i$
9499	Simplify	- square root of 5(2 square root of 10+3 square root of 5-5 square root of 30)	$- \sqrt{5} (2 \sqrt{10} + 3 \sqrt{5} - 5 \sqrt{30})$
9500	Solve for z	4-3z=9-6z+13	$4 - 3 z = 9 - 6 z + 13$