Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33501	Solve for c	20>=-3.2(c-4.3)	$20 \geq - 3.2 (c - 4.3)$
33502	Find the Equation Using Two Points	f(10)=5 and f(2)=-3	$f (10) = 5$ and $f (2) = - 3$
33503	Find the x and y Intercepts	f(x)=-2x^2(2x-1)^3(4x+3)	$f (x) = - 2 x^{2} {(2 x - 1)}^{3} (4 x + 3)$
33504	Solve for x	1/(x-8)-1=-7/(x-8)	$\frac{1}{x - 8} - 1 = - \frac{7}{x - 8}$
33505	Evaluate	4^3=x	$4^{3} = x$
33506	Solve the Inequality for n	\|n\|-3>-2	$\| n \| - 3 > - 2$
33507	Find the Inverse	3x-2=5y+7	$3 x - 2 = 5 y + 7$
33508	Describe the Transformation	y=-(x+3)^3-5	$y = - {(x + 3)}^{3} - 5$
33509	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+9x^2+17x+10 is divided by 3x+2	Use the long division method to find the result when $9 x^{3} + 9 x^{2} + 17 x + 10$ is divided by $3 x + 2$
33510	Evaluate	2\|2-9\|-3(4+2)	$2 \| 2 - 9 \| - 3 (4 + 2)$
33511	Solve for y	60=10 square root of y-3	$60 = 10 \sqrt{y - 3}$
33512	Multiply	(x-(-3+i))(x-(-3-i))	$(x - (- 3 + i)) (x - (- 3 - i))$
33513	Solve for z	4z-8+3z+6=180	$4 z - 8 + 3 z + 6 = 180$
33514	Find the Directrix	x=-1/4(y-4)^2-2	$x = \frac{- 1}{4} {(y - 4)}^{2} - 2$
33515	Simplify	square root of (xy^2)/16	$\sqrt{\frac{x y^{2}}{16}}$
33516	Simplify	(x2/5y4/10)^-5	${(x \frac{2}{5} y \frac{4}{10})}^{- 5}$
33517	Solve for x	-1/3+x=-7/24	$- \frac{1}{3} + x = - \frac{7}{24}$
33518	Find the Exact Value	log base 2 of 2^4- log base 2 of 2^10	$\log_{2} (2^{4}) - \log_{2} (2^{10})$
33519	Simplify	(3ab^2)/(5m)+ square root of 2a-a^2m^2	$\frac{3 a b^{2}}{5 m} + \sqrt{2 a} - a^{2} m^{2}$
33520	Simplify	(2pi)/3-2pi	$\frac{2 π}{3} - 2 π$
33521	Find the Product	2pr^2(2pr+5p^2r-15p)	$2 p r^{2} (2 p r + 5 p^{2} r - 15 p)$
33522	Graph	y>=3x-2 y<=-1/2x+3	$y \geq 3 x - 2$ $y \leq - \frac{1}{2} x + 3$
33523	Write in Standard Form	-8-5x^3+4x^5-4x-6	$- 8 - 5 x^{3} + 4 x^{5} - 4 x - 6$
33524	Simplify	4/(x-4)+16/((x-4)^2)	$\frac{4}{x - 4} + \frac{16}{{(x - 4)}^{2}}$
33525	Evaluate	square root of (2- square root of 5)^2+ square root of (2+ square root of 5)^2	$\sqrt{{(2 - \sqrt{5})}^{2}} + \sqrt{{(2 + \sqrt{5})}^{2}}$
33526	Simplify the Radical Expression	((6^5)/(9^5))^(-1/5)	${(\frac{6^{5}}{9^{5}})}^{- \frac{1}{5}}$
33527	Solve for x	(1/2x+6)/3=(x-3)/2	$\frac{\frac{1}{2} x + 6}{3} = \frac{x - 3}{2}$
33528	Solve the System of Equations	2x-4y-2z=0 0x+1y+4z=0 3x-6y-3z=0	$2 x - 4 y - 2 z = 0$ $0 x + 1 y + 4 z = 0$ $3 x - 6 y - 3 z = 0$
33529	Simplify the Radical Expression	5/(10- square root of 5)	$\frac{5}{10 - \sqrt{5}}$
33530	Solve for y	(y+1)-4=0	$(y + 1) - 4 = 0$
33531	Divide Using Synthetic Division	-4x^4+102x^2-50 by x-5	$- 4 x^{4} + 102 x^{2} - 50$ by $x - 5$
33532	Solve for x	10-x/6=10	$10 - \frac{x}{6} = 10$
33533	Simplify the Radical Expression	z^(3/4)*z^2	$z^{\frac{3}{4}} \cdot z^{2}$
33534	Simplify	1/2+2/3*5/12	$\frac{1}{2} + \frac{2}{3} \cdot \frac{5}{12}$
33535	Find the Derivative - d/dx	natural log of 2+sin(x)	$\ln (2 + \sin (x))$
33536	Multiply	(-6a^2b)*(1/2ab)	$(- 6 a^{2} b) \cdot (\frac{1}{2} a b)$
33537	Solve the System of Equations	-2x-3y+5z=-6 x+2y-5z=3 -4x+y-5z=8	$- 2 x - 3 y + 5 z = - 6$ $x + 2 y - 5 z = 3$ $- 4 x + y - 5 z = 8$
33538	Find the Antiderivative	2x*e^x	$2 x \cdot e^{x}$
33539	Simplify	6x-4+3(2x-3y+9)	$6 x - 4 + 3 (2 x - 3 y + 9)$
33540	Find the Quotient	(x^3+x^2-x-1)÷(x^2+2x+1)	$(x^{3} + x^{2} - x - 1) \div (x^{2} + 2 x + 1)$
33541	Write the Fraction in Simplest Form	(1/( square root of x+h)-1/( square root of x))/h	$\frac{\frac{1}{\sqrt{x + h}} - \frac{1}{\sqrt{x}}}{h}$
33542	Solve the System of Equations	1/2x+1/4y=-7 -2/3x+1/2y=11	$\frac{1}{2} x + \frac{1}{4} y = - 7$ $- \frac{2}{3} x + \frac{1}{2} y = 11$
33543	Evaluate the Integral	integral of (12x^2)/( cube root of x^3+6) with respect to x	$\int \frac{12 x^{2}}{\sqrt[3]{x^{3} + 6}} d x$
33544	Solve for x	x/2+2=-3x+9	$\frac{x}{2} + 2 = - 3 x + 9$
33545	Simplify	(7z^3)^-2y	${(7 z^{3})}^{- 2} y$
33546	Divide	(6 fourth root of 3)÷2 fourth root of 243	$6 \sqrt[4]{3} \div 2 \sqrt[4]{243}$
33547	Solve for x	39=7+5x-2(x-1)	$39 = 7 + 5 x - 2 (x - 1)$
33548	Solve for n	120% of what number is 102 ?	$120 %$ of what number is $102$ ?
33549	Evaluate	(48x-6+3y)/3	$\frac{48 x - 6 + 3 y}{3}$
33550	Add	-3/4+1/2	$\frac{- 3}{4} + \frac{1}{2}$
33551	Solve the System of Inequalities	y>1/3x+3 y<-x-5	$y > \frac{1}{3} x + 3$ $y < - x - 5$
33552	Add	3t^2-5t+6-8t^2+7t-9	$3 t^{2} - 5 t + 6 - 8 t^{2} + 7 t - 9$
33553	Evaluate the Function	f(3)=4/5x-2	$f (3) = \frac{4}{5} x - 2$
33554	Solve the Function Operation	g(x)=-4x-2 ; find g(-2)	$g (x) = - 4 x - 2$ ; find $g (- 2)$
33555	Factor	4x^3+12x^2-40x=0	$4 x^{3} + 12 x^{2} - 40 x = 0$
33556	Simplify	1/(2+5i)-(4+3i)/(3-i)	$\frac{1}{2 + 5 i} - \frac{4 + 3 i}{3 - i}$
33557	Solve for x in Radians	tan(x)=( square root of 3)/2	$\tan (x) = \frac{\sqrt{3}}{2}$
33558	Simplify	(p^2+2p-51)/(p^2-6p-27)-4/(p+3)	$\frac{p^{2} + 2 p - 51}{p^{2} - 6 p - 27} - \frac{4}{p + 3}$
33559	Simplify	-(4c^12d^5)/(20c^4d)	$- \frac{4 c^{12} d^{5}}{20 c^{4} d}$
33560	Simplify	( square root of 2- square root of 8)/(2 square root of 2-1)	$\frac{\sqrt{2} - \sqrt{8}}{2 \sqrt{2} - 1}$
33561	Solve for x	3x^(-3/2)+40=121	$3 x^{- \frac{3}{2}} + 40 = 121$
33562	Solve by Factoring	3x^3+6x^2-24x=ax(x+b)(x+c)	$3 x^{3} + 6 x^{2} - 24 x = a x (x + b) (x + c)$
33563	Evaluate	5/34*22 2/3-2 1/9	$\frac{5}{34} \cdot 22 \frac{2}{3} - 2 \frac{1}{9}$
33564	Divide Using Long Polynomial Division	3x^3+16x^2+24x+9 divided by x+3	$3 x^{3} + 16 x^{2} + 24 x + 9$ divided by $x + 3$
33565	Find dy/dx	5^x+5^y=10	$5^{x} + 5^{y} = 10$
33566	Find the Derivative - d/dx	2x^3* cube root of x	$2 x^{3} \cdot \sqrt[3]{x}$
33567	Simplify the Radical Expression	fifth root of (9x^11y^2)/(32xy^7)	$\sqrt[5]{\frac{9 x^{11} y^{2}}{32 x y^{7}}}$
33568	Evaluate the Limit	limit as x approaches infinity of ( square root of 25x^2-7)/(x+2) is	$lim_{x \to \infty} \frac{\sqrt{25 x^{2} - 7}}{x + 2}$ is
33569	Find the Product	(a^2)(2a^3)(a^2-8a+9)	$(a^{2}) (2 a^{3}) (a^{2} - 8 a + 9)$
33570	Solve the Inequality for d	15>=5/3(d-6)	$15 \geq \frac{5}{3} (d - 6)$
33571	Solve the Inequality for x	4x-1/3<=1+x/6	$4 x - \frac{1}{3} \leq 1 + \frac{x}{6}$
33572	Solve for x	x^2-6x+7=-2	$x^{2} - 6 x + 7 = - 2$
33573	Simplify	((x-1)+x^2)((x-1)-x^2)	$((x - 1) + x^{2}) ((x - 1) - x^{2})$
33574	Solve the System of Inequalities	X/4+4<3 or -x+2<2	$\frac{X}{4} + 4 < 3$ or $- x + 2 < 2$
33575	Multiply	2^2*4^2	$2^{2} \cdot 4^{2}$
33576	Solve for x	13e^(x^2+3)=39	$13 e^{x^{2} + 3} = 39$
33577	Find the Quotient	(6x^3+x-1)÷(x+2)	$(6 x^{3} + x - 1) \div (x + 2)$
33578	Solve the System of Equations	-x+7y=12 and 6x-8y=-4	$- x + 7 y = 12$ and $6 x - 8 y = - 4$
33579	Solve for t	2/(3-t)+1/(3+t)+1/(9-t^2)=0	$\frac{2}{3 - t} + \frac{1}{3 + t} + \frac{1}{9 - t^{2}} = 0$
33580	Find the Cosecant Given the Point	(-( square root of 5)/3,-2/3)	$(- \frac{\sqrt{5}}{3}, - \frac{2}{3})$
33581	Solve for x	sin(x)^2+sin(x)-2=0	$\sin^{2} (x) + \sin (x) - 2 = 0$
33582	Find the Derivative - d/dx	(-y)/(x^2+y^2)	$\frac{- y}{x^{2} + y^{2}}$
33583	Solve for z	square root of z+9=0	$\sqrt{z} + 9 = 0$
33584	Solve for r	3-r/8=-9/2	$3 - \frac{r}{8} = - \frac{9}{2}$
33585	Simplify	((x^2-10x+24)/(x^2+x-42)*(x^2-49)/(x^2-11x+28))÷((3x^2-147)/(x^2-49))	$\frac{x^{2} - 10 x + 24}{x^{2} + x - 42} \cdot \frac{x^{2} - 49}{x^{2} - 11 x + 28} \div \frac{3 x^{2} - 147}{x^{2} - 49}$
33586	Solve for n	-10-n^3=-88	$- 10 - n^{3} = - 88$
33587	Simplify	(a^2+b^2)/(a^3+b^3)-1/(a+b)	$\frac{(a^{2} + b^{2})}{a^{3} + b^{3}} - \frac{1}{a + b}$
33588	Solve for s	5s+3<s+7	$5 s + 3 < s + 7$
33589	Solve the System of Equations	x-3y=-14 and -3x-7y=10	$x - 3 y = - 14$ and $- 3 x - 7 y = 10$
33590	Convert to a Decimal	0.8 repeating	$0.8$ repeating
33591	Evaluate	90/360*pi(2)^2	$\frac{90}{360} \cdot π {(2)}^{2}$
33592	Solve for z	z/2-3/5=-2/3z+1/6	$\frac{z}{2} - \frac{3}{5} = - \frac{2}{3} z + \frac{1}{6}$
33593	Evaluate	4x+2x+2=3x-7	$4 x + 2 x + 2 = 3 x - 7$
33594	Evaluate the Integral	integral of 2x^2(x-5)^2 with respect to x	$\int 2 x^{2} {(x - 5)}^{2} d x$
33595	Find Amplitude, Period, and Phase Shift	y=-2cos(x-pi)-2	$y = - 2 \cos (x - π) - 2$
33596	Graph	12x-5y<-30 12x-5y>35	$12 x - 5 y < - 30$ $12 x - 5 y > 35$
33597	Find the Holes in the Graph	y=3/(x+2)	$y = \frac{3}{x + 2}$
33598	Solve the Inequality for x	x/(x-2)>=0	$\frac{x}{x - 2} \geq 0$
33599	Find All Complex Solutions	(x^2-x-6)/(x^2)=(x-6)/(2x)+(2x+12)/x	$\frac{x^{2} - x - 6}{x^{2}} = \frac{x - 6}{2 x} + \frac{2 x + 12}{x}$
33600	Evaluate	(x+a)^2+5(x+a)+4	${(x + a)}^{2} + 5 (x + a) + 4$