Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
1601	Find dy/dx	xy^2+(x^2)/y=5	$x y^{2} + \frac{x^{2}}{y} = 5$
1602	Solve for j	-9-7j+4=2-6j	$- 9 - 7 j + 4 = 2 - 6 j$
1603	Solve for c	10^2+10^2=c^2	$10^{2} + 10^{2} = c^{2}$
1604	Solve for x	x-5(x-1)=x-(2x-3)	$x - 5 (x - 1) = x - (2 x - 3)$
1605	Simplify the Radical Expression	fourth root of 5x* fourth root of 2x	$\sqrt[4]{5 x} \cdot \sqrt[4]{2 x}$
1606	Simplify	(a^-5b^8c^-12)(a^7b^-3c^7)	$(a^{- 5} b^{8} c^{- 12}) (a^{7} b^{- 3} c^{7})$
1607	Simplify	(2m^2)^-1(4m^(3/2))	${(2 m^{2})}^{- 1} (4 m^{\frac{3}{2}})$
1608	Solve the Rational Equation for m	fourth root of 2m=4	$\sqrt[4]{2 m} = 4$
1609	Expand the Logarithmic Expression	log base 6 of square root of 3mn^8	$\log_{6} (\sqrt{3 m n^{8}})$
1610	Evaluate	(-(w^3)/6)^-2	${(- \frac{w^{3}}{6})}^{- 2}$
1611	Simplify	( fifth root of -8)^8	${(\sqrt[5]{- 8})}^{8}$
1612	Rationalize the Denominator	2/( cube root of 4-3)	$\frac{2}{\sqrt[3]{4} - 3}$
1613	Solve for x	log base (x+3) of 125=3	$\log_{(x + 3)} (125) = 3$
1614	Solve for c	(2c-1)/9+c/4=(c+3)/6	$\frac{2 c - 1}{9} + \frac{c}{4} = \frac{c + 3}{6}$
1615	Solve for x	6/(x+16)=7/(3x+3)	$\frac{6}{x + 16} = \frac{7}{3 x + 3}$
1616	Find the Roots (Zeros)	f(x)=tan(3x)	$f (x) = \tan (3 x)$
1617	Solve for d	1.8(6.4d+4)=1.6(8.3d+6.7)	$1.8 (6.4 d + 4) = 1.6 (8.3 d + 6.7)$
1618	Solve for k	-7(k+5)=3k-(8k-1)	$- 7 (k + 5) = 3 k - (8 k - 1)$
1619	Simplify the Radical Expression	(3 cube root of 2)/( cube root of 3)	$\frac{3 \sqrt[3]{2}}{\sqrt[3]{3}}$
1620	Find the Antiderivative	pi^2	$π^{2}$
1621	Solve for x	7/(10x)=3/20+2	$\frac{7}{10 x} = \frac{3}{20} + 2$
1622	Find the Antiderivative	1/(x(x+1))	$\frac{1}{x (x + 1)}$
1623	Solve for x	(6x)/7-3=2x	$\frac{6 x}{7} - 3 = 2 x$
1624	Simplify	-(-5a^-2bc)^0	$- {(- 5 a^{- 2} b c)}^{0}$
1625	Solve for z	(3z)/2+1/4=7/8	$\frac{3 z}{2} + \frac{1}{4} = \frac{7}{8}$
1626	Simplify	square root of 12-5 cube root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt[3]{8} - 7 \sqrt{20}$
1627	Find the Roots (Zeros)	f(x)=(x-2)^2(x+3)(x+1)^2	$f (x) = {(x - 2)}^{2} (x + 3) {(x + 1)}^{2}$
1628	Verify the Differential Equation Solution	y'=(3y)/x , y=x^3	$y' = \frac{3 y}{x}$ , $y = x^{3}$
1629	Find the Product	(3x^ay^bz^c)(-y^fz^g)	$(3 x^{a} y^{b} z^{c}) (- y^{f} z^{g})$
1630	Simplify	(x^(1/2))^4 square root of x^6	${(x^{\frac{1}{2}})}^{4} \sqrt{x^{6}}$
1631	Solve for a	a(g-h)=m	$a (g - h) = m$
1632	Solve the System of Inequalities	-4a+13>=29 and 10<6a-14	$- 4 a + 13 \geq 29$ and $10 < 6 a - 14$
1633	Find the Antiderivative	-3/(x^2)+4/(x^3)	$- \frac{3}{x^{2}} + \frac{4}{x^{3}}$
1634	Solve the Inequality for x	-0.25 square root of x-6<=-3	$- 0.25 \sqrt{x} - 6 \leq - 3$
1635	Find the Domain	(-1/x)(1-x)/(1+x)x/(x^2-1)	$(- \frac{1}{x}) \cdot \frac{1 - x}{1 + x} \cdot \frac{x}{x^{2} - 1}$
1636	Solve for x	(8^(x/2))/(4^(x/3))=2^(-5/2)	$\frac{8^{\frac{x}{2}}}{4^{\frac{x}{3}}} = 2^{- \frac{5}{2}}$
1637	Solve for a	cube root of 3a+9 = cube root of 6a+15	$\sqrt[3]{3 a + 9} = \sqrt[3]{6 a + 15}$
1638	Simplify	m^8n*m^3n^5	$m^{8} n \cdot m^{3} n^{5}$
1639	Describe the Transformation	y=-2(x+5)^3	$y = - 2 {(x + 5)}^{3}$
1640	Solve for x	3+ cube root of 4x-8=1	$3 + \sqrt[3]{4 x - 8} = 1$
1641	Divide	(16a^4-40a^2+24a)/(12a^3)	$\frac{16 a^{4} - 40 a^{2} + 24 a}{12 a^{3}}$
1642	Find the Product	(3x^3y^2)(-6y^5)	$(3 x^{3} y^{2}) (- 6 y^{5})$
1643	Evaluate Using Summation Formulas	sum from k=1 to n of k^3	$\sum_{k = 1}^{n} k^{3}$
1644	Simplify	((1-h^2)/(2h^2-10h-12))÷((2h-2)/6)	$\frac{1 - h^{2}}{2 h^{2} - 10 h - 12} \div \frac{2 h - 2}{6}$
1645	Solve the Inequality for w	w-5<=2w	$w - 5 \leq 2 w$
1646	Find the Vertex	4x^2+y^2-36=0	$4 x^{2} + y^{2} - 36 = 0$
1647	Evaluate	2(8x-4)-2x<=14x+12	$2 (8 x - 4) - 2 x \leq 14 x + 12$
1648	Simplify	square root of 5+3 square root of 5+2 square root of 5	$\sqrt{5} + 3 \sqrt{5} + 2 \sqrt{5}$
1649	Find the Antiderivative	4e^x+x^3	$4 e^{x} + x^{3}$
1650	Simplify	square root of cube root of 16	$\sqrt{\sqrt[3]{16}}$
1651	Find the Derivative - d/dx	(d^43)/(dx^43)(cos(3x)+5^(2x))	$\frac{d^{43}}{d x^{43}} (\cos (3 x) + 5^{2 x})$
1652	Solve for z	square root of z^12=-z^6	$\sqrt{z^{12}} = - z^{6}$
1653	Solve for x	5/2=2/(x+3)-2	$\frac{5}{2} = \frac{2}{x + 3} - 2$
1654	Simplify	(-5i)(2i)(-3i)^2	$(- 5 i) (2 i) {(- 3 i)}^{2}$
1655	Simplify	square root of 4r^8g^1p^3	$\sqrt{4 r^{8} g^{1} p^{3}}$
1656	Find the Domain and Range	y^2=x^2-3	$y^{2} = x^{2} - 3$
1657	Graph	y>=x-1 y<-2x+2	$y \geq x - 1$ $y < - 2 x + 2$
1658	Evaluate the Limit	limit as x approaches 0 of (e^x-1)/(x^4)	$lim_{x \to 0} \frac{e^{x} - 1}{x^{4}}$
1659	Solve the Inequality for x	(x-2)/(x+3)<=5/3	$\frac{x - 2}{x + 3} \leq \frac{5}{3}$
1660	Solve for t	-8t=-9t+6	$- 8 t = - 9 t + 6$
1661	Find the Domain	(x-y)/(xy)-(x-z)/(xz)	$\frac{x - y}{x y} - \frac{x - z}{x z}$
1662	Simplify the Radical Expression	fifth root of 32/x	$\sqrt[5]{\frac{32}{x}}$
1663	Solve the System of Inequalities	-9x+2>18 or 13x+15<=-4	$- 9 x + 2 > 18$ or $13 x + 15 \leq - 4$
1664	Simplify the Radical Expression	cube root of square root of 27	$\sqrt[3]{\sqrt{27}}$
1665	Simplify	(1/3x^5)^3*81x^4	${(\frac{1}{3} x^{5})}^{3} \cdot 81 x^{4}$
1666	Solve the Rational Equation for x	square root of 25-3x=x-9	$\sqrt{25 - 3 x} = x - 9$
1667	Simplify	12 root of 4a^2b^4c^2	$\sqrt[12]{4 a^{2} b^{4} c^{2}}$
1668	Find the Domain and Range	f(x)=1/2*5^(-x)-1	$f (x) = \frac{1}{2} \cdot 5^{- x} - 1$
1669	Simplify	((3x)/(10a^3))÷(1/(5a^2))	$\frac{3 x}{10 a^{3}} \div \frac{1}{5 a^{2}}$
1670	Solve for x	1/(2(x+3))-3/(2x)=1/(x+3)	$\frac{1}{2 (x + 3)} - \frac{3}{2 x} = \frac{1}{x + 3}$
1671	Solve for x	(x-1)^3-5=0	${(x - 1)}^{3} - 5 = 0$
1672	Factor	24ab-16a^2-9b^2	$24 a b - 16 a^{2} - 9 b^{2}$
1673	Simplify	1/6x+3/4(1/2x-4)	$\frac{1}{6} x + \frac{3}{4} (\frac{1}{2} x - 4)$
1674	Solve for v	-9(-v-10)=-10-v	$- 9 (- v - 10) = - 10 - v$
1675	Write in Standard Form	f(x)=2-11x+2x^2	$f (x) = 2 - 11 x + 2 x^{2}$
1676	Solve for a	b/(a^2)=16	$\frac{b}{a^{2}} = 16$
1677	Simplify the Radical Expression	3 square root of 3+6 square root of 3-1/2 square root of 3	$3 \sqrt{3} + 6 \sqrt{3} - \frac{1}{2} \sqrt{3}$
1678	Solve for A	(tan(x)+sec(x))^2=(A+sin(x))/(B-sin(x))	${(\tan (x) + \sec (x))}^{2} = \frac{A + \sin (x)}{B - \sin (x)}$
1679	Graph	square root of cos(x)cos(300x)+ square root of \|x\|-9.3*(4-x^2)^0.01	$\sqrt{\cos (x)} \cdot \cos (300 \cdot x) + \sqrt{\| x \|} - 9.3 \cdot {(4 - x^{2})}^{0.01}$
1680	Evaluate	(2^33^2)/(2^43^2)	$\frac{2^{3} \cdot 3^{2}}{2^{4} \cdot 3^{2}}$
1681	Simplify	cube root of -3x^2* cube root of 24x^5	$\sqrt[3]{- 3 x^{2}} \cdot \sqrt[3]{24 x^{5}}$
1682	Find the Domain and Range	2-3/(x-1)	$2 - \frac{3}{x - 1}$
1683	Evaluate	11-3*2+2^3+90÷6	$11 - 3 \cdot 2 + 2^{3} + 90 \div 6$
1684	Find the Integral	6^(2x)*2dx	$6^{2 x} \cdot 2 d x$
1685	Simplify	((4x^8)/(2x^6))^4	${(\frac{4 x^{8}}{2 x^{6}})}^{4}$
1686	Simplify	(6^0tu^-5)/(2^5)	$\frac{6^{0} t u^{- 5}}{2^{5}}$
1687	Simplify	(-27x^3(-x^7))/(16x^4)	$\frac{- 27 x^{3} (- x^{7})}{16 x^{4}}$
1688	Evaluate	square root of 64+(3^2+(9-4(6-1))+5)	$\sqrt{64} + (3^{2} + (9 - 4 (6 - 1)) + 5)$
1689	Solve for k	k^2+5k+25/4=0	$k^{2} + 5 k + \frac{25}{4} = 0$
1690	Solve for d	5d-8=1+5d	$5 d - 8 = 1 + 5 d$
1691	Find the Domain	(a-2y)/(a+y)-(y^2-5ay)/(a^2-y^2)	$\frac{a - 2 y}{a + y} - \frac{y^{2} - 5 a y}{a^{2} - y^{2}}$
1692	Simplify the Radical Expression	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
1693	Find the Derivative - d/dx	y=-1/3(x^7+2x-9)	$y = - \frac{1}{3} (x^{7} + 2 x - 9)$
1694	Find the Product	(5p^3)(-m^8p^2)	$(5 p^{3}) (- m^{8} p^{2})$
1695	Find the Domain	(x^2-1)/(5xy)*(x^2y)/(1+x)	$\frac{x^{2} - 1}{5 x y} \cdot \frac{x^{2} y}{1 + x}$
1696	Simplify	(x^-2-y^-2)^-1	${(x^{- 2} - y^{- 2})}^{- 1}$
1697	Evaluate	(x^3)(x^-17)	$(x^{3}) (x^{- 17})$
1698	Evaluate the Integral	integral of x^2 square root of 3x+2 with respect to x	$\int x^{2} \sqrt{3 x + 2} d x$
1699	Simplify	square root of a( square root of a^3-7)	$\sqrt{a} (\sqrt{a^{3}} - 7)$
1700	Simplify the Radical Expression	- square root of 2( square root of 10-4 square root of 6)	$- \sqrt{2} (\sqrt{10} - 4 \sqrt{6})$