Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
1501	Simplify	(2gh^4)^3((-2g^4h)^3)^2	${(2 g h^{4})}^{3} {({(- 2 g^{4} h)}^{3})}^{2}$
1502	Solve for b	b/(5h)=f+g	$\frac{b}{5 h} = f + g$
1503	Simplify	( cube root of 24^4)/24	$\frac{\sqrt[3]{24^{4}}}{24}$
1504	Convert to Radical Form	(s/(r^2))^(-3/4)	${(\frac{s}{r^{2}})}^{- \frac{3}{4}}$
1505	Simplify	(2/(3r^2t^3z^6))^2	${(\frac{2}{3 r^{2} t^{3} z^{6}})}^{2}$
1506	Simplify	square root of (18X^3)/(49xy^2)	$\sqrt{\frac{18 X^{3}}{49 x y^{2}}}$
1507	Simplify	(r^4)/((3r)^3)	$\frac{r^{4}}{{(3 r)}^{3}}$
1508	Simplify	(x^-7)/(8y^2)*8/(x^8y^-2)	$\frac{x^{- 7}}{8 y^{2}} \cdot \frac{8}{x^{8} y^{- 2}}$
1509	Simplify	(g^0h^7j^-2)/(g^-5h^0j^-2)	$\frac{g^{0} h^{7} j^{- 2}}{g^{- 5} h^{0} j^{- 2}}$
1510	Simplify	(8n^2)/(m^2-16)*(m^2-4m)/(6n)	$\frac{8 n^{2}}{m^{2} - 16} \cdot \frac{m^{2} - 4 m}{6 n}$
1511	Simplify the Radical Expression	4 square root of 15( square root of 6+ square root of 5)	$4 \sqrt{15} (\sqrt{6} + \sqrt{5})$
1512	Rationalize the Denominator	(7+5i)/(-7i)	$\frac{7 + 5 i}{- 7 i}$
1513	Find the Roots (Zeros)	S(r)=r^5+4r^4-13r^3-10r^2-12r+72	$S (r) = r^{5} + 4 r^{4} - 13 r^{3} - 10 r^{2} - 12 r + 72$
1514	Evaluate	( square root of 48)/( square root of 27)	$\frac{\sqrt{48}}{\sqrt{27}}$
1515	Simplify	((-(14x)^0y^-7z)^-2)/((y^-3z)^-2)	$\frac{{(- {(14 x)}^{0} y^{- 7} z)}^{- 2}}{{(y^{- 3} z)}^{- 2}}$
1516	Solve for x	7/(x-3)-(10x)/(6x+9)=5/3	$\frac{7}{x - 3} - \frac{10 x}{6 x + 9} = \frac{5}{3}$
1517	Solve by Factoring	3x^2=-12-5x	$3 x^{2} = - 12 - 5 x$
1518	Factor	10x-2xy+35-7y	$10 x - 2 x y + 35 - 7 y$
1519	Solve for y	1-2/(3y)=6/15	$1 - \frac{2}{3 y} = \frac{6}{15}$
1520	Solve for h	-9+3h=2h+7-h	$- 9 + 3 h = 2 h + 7 - h$
1521	Simplify	(3^2x^-3y^-4)/(2^-1x^-4y^-5)	$\frac{3^{2} x^{- 3} y^{- 4}}{2^{- 1} x^{- 4} y^{- 5}}$
1522	Solve for Y	x-2Y=3	$x - 2 Y = 3$
1523	Solve the System of Equations	y-x=2 y=-1/4x+7	$y - x = 2$ $y = - \frac{1}{4} x + 7$
1524	Find the Antiderivative	x square root of x-4/( square root of x)	$x \sqrt{x} - \frac{4}{\sqrt{x}}$
1525	Solve for x	7/(4x+3)=2	$\frac{7}{4 x + 3} = 2$
1526	Simplify	(mx^2-my^2)/(2m+8)*(3m+12)/(my+mx)	$\frac{m x^{2} - m y^{2}}{2 m + 8} \cdot \frac{3 m + 12}{m y + m x}$
1527	Simplify	(12x^5y^3)/(4x^-1)	$\frac{12 x^{5} y^{3}}{4 x^{- 1}}$
1528	Solve for y	5.4/(2y)=9	$\frac{5.4}{2 y} = 9$
1529	Find Where Increasing/Decreasing	x^4+8x^3+18x^2	$x^{4} + 8 x^{3} + 18 x^{2}$
1530	Write as a Single Logarithm	-3 natural log of x-3 natural log of y+3 natural log of z	$- 3 \ln (x) - 3 \ln (y) + 3 \ln (z)$
1531	Solve the Inequality for N	X^2-4NX+4M>0	$X^{2} - 4 N X + 4 M > 0$
1532	Solve for a	4=ga	$4 = g a$
1533	Simplify	(18w^(1/3)v^(5/4))/(27w^(4/3)v^(1/2))	$\frac{18 w^{\frac{1}{3}} v^{\frac{5}{4}}}{27 w^{\frac{4}{3}} v^{\frac{1}{2}}}$
1534	Simplify	(2x^-3y^-2)/(z^4)	$\frac{2 x^{- 3} y^{- 2}}{z^{4}}$
1535	Simplify the Radical Expression	9/( square root of 3+ square root of 7)	$\frac{9}{\sqrt{3} + \sqrt{7}}$
1536	Simplify	5x^2y^3*(-2 3/4xy^6)	$5 x^{2} y^{3} \cdot (- 2 \frac{3}{4} x y^{6})$
1537	Find dy/dx	y=(4x^2-16)/(x-2)	$y = \frac{4 x^{2} - 16}{x - 2}$
1538	Simplify the Radical Expression	( cube root of 24^4)/24	$\frac{\sqrt[3]{24^{4}}}{24}$
1539	Solve for x	1/2x^(5/2)=16	$\frac{1}{2} x^{\frac{5}{2}} = 16$
1540	Write in Standard Form	(2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b)	$(2 a^{2} b - 5 b^{3} + 4 a^{4} b^{2}) - (7 b^{3} + 8 a^{4} b^{2} - 7 a^{2} b)$
1541	Graph	x+3y<-18 5x+2y<=14	$x + 3 y < - 18$ $5 x + 2 y \leq 14$
1542	Simplify	(6y^2+y-2)(2y-1)^-1	$(6 y^{2} + y - 2) {(2 y - 1)}^{- 1}$
1543	Simplify	( square root of x- square root of x+1)/( square root of x+ square root of x+1)	$\frac{\sqrt{x} - \sqrt{x + 1}}{\sqrt{x} + \sqrt{x + 1}}$
1544	Solve for x	1/x+5=1/2	$\frac{1}{x} + 5 = \frac{1}{2}$
1545	Solve for x	5/x-2=5/4	$\frac{5}{x} - 2 = \frac{5}{4}$
1546	Simplify	(3a)/(b^2)*(ab+b^2)/9	$\frac{3 a}{b^{2}} \cdot \frac{a b + b^{2}}{9}$
1547	Solve for x	3x^2-7x-9=4x^2-4x-9	$3 x^{2} - 7 x - 9 = 4 x^{2} - 4 x - 9$
1548	Solve for x	-(2-3x)+x=9-x	$- (2 - 3 x) + x = 9 - x$
1549	Simplify the Radical Expression	cube root of 3/(4k)	$\sqrt[3]{\frac{3}{4 k}}$
1550	Solve for x	4/(3(x+2))-2/(3x)=1/(x+2)	$\frac{4}{3 (x + 2)} - \frac{2}{3 x} = \frac{1}{x + 2}$
1551	Solve the Function Operation	(1/(5,0))^(-2z)*5 , 0^(-2z+2)=5 , 0	${(\frac{1}{5, 0})}^{- 2 z} \cdot 5$ , $0^{- 2 z + 2} = 5$ , $0$
1552	Find the Antiderivative	x/(cos(x)^2)	$\frac{x}{\cos^{2} (x)}$
1553	Simplify	6 square root of 3ab*4 square root of 24ab^3	$6 \sqrt{3 a b} \cdot 4 \sqrt{24 a b^{3}}$
1554	Find the Complex Conjugate	square root of 6-3	$\sqrt{6} - 3$
1555	Write in Slope-Intercept Form	y+17=3(x+6)-14	$y + 17 = 3 (x + 6) - 14$
1556	Solve the System of Inequalities	3x+12>=-9 and 9x-3<=33	$3 x + 12 \geq - 9$ and $9 x - 3 \leq 33$
1557	Simplify	((x^2-3x-10)/(x+3))/((2x^2-7x-15)/(x^2-9))	$\frac{\frac{x^{2} - 3 x - 10}{x + 3}}{\frac{2 x^{2} - 7 x - 15}{x^{2} - 9}}$
1558	Simplify	(5a+b^2)/(8b)-(5a-7b^2)/(8b)	$\frac{5 a + b^{2}}{8 b} - \frac{5 a - 7 b^{2}}{8 b}$
1559	Simplify the Radical Expression	cube root of 750+ cube root of 2058- cube root of 48	$\sqrt[3]{750} + \sqrt[3]{2058} - \sqrt[3]{48}$
1560	Solve for z	square root of (z+1)^2=2	$\sqrt{{(z + 1)}^{2}} = 2$
1561	Simplify	( square root of 18x+4 square root of 8x- square root of 50x)	$(\sqrt{18 x} + 4 \sqrt{8 x} - \sqrt{50 x})$
1562	Evaluate	(6 5/6-5 3/8)÷(7/48)	$(6 \frac{5}{6} - 5 \frac{3}{8}) \div \frac{7}{48}$
1563	Solve for x	9/(15x)+1/5=2/5	$\frac{9}{15 x} + \frac{1}{5} = \frac{2}{5}$
1564	Solve for x	2/x=4/(2x)-2	$\frac{2}{x} = \frac{4}{2 x} - 2$
1565	Solve for f	fg=5	$f g = 5$
1566	Find the Product	(x^2+10x+100)(x-10)	$(x^{2} + 10 x + 100) (x - 10)$
1567	Solve the Inequality for t	7+t<=2(t+3)+2	$7 + t \leq 2 (t + 3) + 2$
1568	Find the Directrix	(x-1)^2+8(y+2)=0	${(x - 1)}^{2} + 8 (y + 2) = 0$
1569	Evaluate the Limit	limit as x approaches -2 of ((x+3)^5-1)/(x^2-4)	$lim_{x \to - 2} \frac{{(x + 3)}^{5} - 1}{x^{2} - 4}$
1570	Solve for x	square root of 4-x- square root of 3-x=1	$\sqrt{4 - x} - \sqrt{3 - x} = 1$
1571	Simplify the Radical Expression	( square root of 3)/( square root of 8)	$\frac{\sqrt{3}}{\sqrt{8}}$
1572	Find the Domain	a/(a-b)+(3a)/(a+b)-(2ab)/(a^2-b^2)	$\frac{a}{a - b} + \frac{3 a}{a + b} - \frac{2 a b}{a^{2} - b^{2}}$
1573	Simplify the Radical Expression	( cube root of 6* cube root of 72)/( cube root of 2)	$\frac{\sqrt[3]{6} \cdot \sqrt[3]{72}}{\sqrt[3]{2}}$
1574	Simplify	(6y^2+8y^4-5y)-(9y^4-7y+2y^2)	$(6 y^{2} + 8 y^{4} - 5 y) - (9 y^{4} - 7 y + 2 y^{2})$
1575	Simplify	4 square root of 2x*3 square root of 8x	$4 \sqrt{2 x} \cdot 3 \sqrt{8 x}$
1576	Simplify	16/( fourth root of 16^3)	$\frac{16}{\sqrt[4]{16^{3}}}$
1577	Simplify	(35x^5y)÷((7x^3)/34)	$35 x^{5} y \div \frac{7 x^{3}}{34}$
1578	Simplify	((2^6)/(5^3))^(-1/3)	${(\frac{2^{6}}{5^{3}})}^{- \frac{1}{3}}$
1579	Evaluate	2 3/4÷(1 1/2-2/5)	$2 \frac{3}{4} \div (1 \frac{1}{2} - \frac{2}{5})$
1580	Solve the Inequality for t	t-3>-8	$t - 3 > - 8$
1581	Determine if Odd, Even, or Neither	F(x)=x^5-x	$F (x) = x^{5} - x$
1582	Find Where Increasing/Decreasing	f(x)=1/2*5^(-x)-1	$f (x) = \frac{1}{2} \cdot 5^{- x} - 1$
1583	Simplify	3/4(24x+28)-(4x-1)	$\frac{3}{4} (24 x + 28) - (4 x - 1)$
1584	Find the Derivative - d/dx	y=-2e^(2x^2-1)	$y = - 2 e^{2 x^{2} - 1}$
1585	Solve for y	square root of 25y^2+40y+16=5y+4	$\sqrt{25 y^{2} + 40 y + 16} = 5 y + 4$
1586	Simplify	((-9p^(1/2)q)^0)^-1	${({(- 9 p^{\frac{1}{2}} q)}^{0})}^{- 1}$
1587	Find Where Increasing/Decreasing	f(x)=(x-1)^(1/3)	$f (x) = {(x - 1)}^{\frac{1}{3}}$
1588	Solve the System of Equations	2x-6y=30 y=1/3x+1	$2 x - 6 y = 30$ $y = \frac{1}{3} x + 1$
1589	Solve for x	2 square root of x-8<24	$2 \sqrt{x - 8} < 24$
1590	Solve for h	-6+6h=9h	$- 6 + 6 h = 9 h$
1591	Simplify	((30x+15)/x)÷(10/(3x))	$\frac{30 x + 15}{x} \div \frac{10}{3 x}$
1592	Factor	x^5+5x^2-4x^3-20	$x^{5} + 5 x^{2} - 4 x^{3} - 20$
1593	Find the Domain and Range	f(x)=1/2 cube root of x+6	$f (x) = \frac{1}{2} \sqrt[3]{x + 6}$
1594	Expand the Logarithmic Expression	natural log of (3r^2)/(r-8)	$\ln (\frac{3 r^{2}}{r - 8})$
1595	Solve for x	2/x+3/x=1/(x-4)	$\frac{2}{x} + \frac{3}{x} = \frac{1}{x - 4}$
1596	Solve for x	7=(2x+46)/8	$7 = \frac{2 x + 46}{8}$
1597	Simplify	(-3)^(1/3)(-3)^(1/3)(-3)^(1/3)	${(- 3)}^{\frac{1}{3}} \cdot {(- 3)}^{\frac{1}{3}} \cdot {(- 3)}^{\frac{1}{3}}$
1598	Solve for w	-1/3=-5/6+w	$- \frac{1}{3} = - \frac{5}{6} + w$
1599	Solve the System of Inequalities	11x+4<15 or 12x-7>-25	$11 x + 4 < 15$ or $12 x - 7 > - 25$
1600	Find the Third Derivative	3^x+2021	$3^{x} + 2021$