Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
1701	Factor	8x^5y^2-27x^2y^5	$8 x^{5} y^{2} - 27 x^{2} y^{5}$
1702	Simplify the Radical Expression	5 3/4	$5 \frac{3}{4}$
1703	Evaluate	12(14/2)-3^3+15-9^2	$12 (\frac{14}{2}) - 3^{3} + 15 - 9^{2}$
1704	Simplify	(2+3 square root of 3)/( square root of 3+5)	$\frac{2 + 3 \sqrt{3}}{\sqrt{3} + 5}$
1705	Verify the Differential Equation Solution	y'=y-2x , y=3x	$y' = y - 2 x$ , $y = 3 x$
1706	Expand the Logarithmic Expression	log base 7 of fourth root of 5w+2	$\log_{7} (\sqrt[4]{5 w + 2})$
1707	Solve for b	b/(d-g)=n	$\frac{b}{d - g} = n$
1708	Find the Antiderivative	f(x)=cos(x)^2	$f (x) = \cos^{2} (x)$
1709	Find the Maximum/Minimum Value	-2xe^(1-x^2)	$- 2 x e^{1 - x^{2}}$
1710	Simplify	(4x)/(x-9)+3/2	$\frac{4 x}{x - 9} + \frac{3}{2}$
1711	Solve for x	(2^(x/2))(4^(x/2))=2^6	$(2^{\frac{x}{2}}) (4^{\frac{x}{2}}) = 2^{6}$
1712	Evaluate the Integral	integral of sin(e^(2x))^4cos(e^(2x))e^(2x) with respect to x	$\int \sin^{4} (e^{2 x}) \cos (e^{2 x}) e^{2 x} d x$
1713	Solve for x	x/3+(x-1)/4=2+x	$\frac{x}{3} + \frac{x - 1}{4} = 2 + x$
1714	Solve for w	2(v-3)=1-(w+4)	$2 (v - 3) = 1 - (w + 4)$
1715	Rationalize the Denominator	square root of (3m)/(2n)	$\sqrt{\frac{3 m}{2 n}}$
1716	Simplify	a/(c-3)-6/(3-c)	$\frac{a}{c - 3} - \frac{6}{3 - c}$
1717	Simplify	1/( square root of xy)	$\frac{1}{\sqrt{x y}}$
1718	Find the Fourth Derivative	x+ square root of x+1	$x + \sqrt{x + 1}$
1719	Solve for p	square root of (p+2)^2=-5	$\sqrt{{(p + 2)}^{2}} = - 5$
1720	Solve for k	-3(5k+3)=-6k	$- 3 (5 k + 3) = - 6 k$
1721	Solve for x	y=x/2+3	$y = \frac{x}{2} + 3$
1722	Solve for x	2^(2x)-12*2^x+2^5=0	$2^{2 x} - 12 \cdot 2^{x} + 2^{5} = 0$
1723	Simplify	((a^2a^3)^2*a^4)÷(((a^-1)^-2)^3)	${(a^{2} a^{3})}^{2} \cdot a^{4} \div {({(a^{- 1})}^{- 2})}^{3}$
1724	Expand the Logarithmic Expression	log of (5x^3)/(2xy^3)	$\log (\frac{5 x^{3}}{2 x y^{3}})$
1725	Simplify	square root of (16u^7v^2)/(4uv^5)	$\sqrt{\frac{16 u^{7} v^{2}}{4 u v^{5}}}$
1726	Verify the Differential Equation Solution	y'=(3y)/x , y=3x	$y' = \frac{3 y}{x}$ , $y = 3 x$
1727	Simplify	(x^2+9y^2)/(x-3y)+(6xy)/(3y-x)	$\frac{x^{2} + 9 y^{2}}{x - 3 y} + \frac{6 x y}{3 y - x}$
1728	Simplify	(a^4c^2e^0)/(b^-1d^-3)	$\frac{a^{4} c^{2} e^{0}}{b^{- 1} d^{- 3}}$
1729	Find the x and y Intercepts	f(x)=1/2*5^(-x)-1	$f (x) = \frac{1}{2} \cdot 5^{- x} - 1$
1730	Solve for x	5x^6=30	$5 x^{6} = 30$
1731	Rationalize the Denominator	square root of 4/5	$\sqrt{\frac{4}{5}}$
1732	Simplify	11x^3*7x^(7/3)	$11 x^{3} \cdot 7 x^{\frac{7}{3}}$
1733	Simplify	(5^(1/2)x^(1/4))^2	${(5^{\frac{1}{2}} x^{\frac{1}{4}})}^{2}$
1734	Solve for y	22y+7=8y	$22 y + 7 = 8 y$
1735	Find the Focus	(x-1)^2+8(y+2)=0	${(x - 1)}^{2} + 8 (y + 2) = 0$
1736	Find the Derivative - d/dx	y=1/(2^(4x))	$y = \frac{1}{2^{4 x}}$
1737	Simplify	(4 7/8x^2-6 3/5x)+(4 4/5x-2 3/8x^2)	$(4 \frac{7}{8} x^{2} - 6 \frac{3}{5} x) + (4 \frac{4}{5} x - 2 \frac{3}{8} x^{2})$
1738	Find the Domain	(4ab)/(cx+dx)*(ax+bx)/(2ab)	$\frac{4 a b}{c x + d x} \cdot \frac{a x + b x}{2 a b}$
1739	Simplify	(x^2)/(x^2-16)+(8(x-2))/(16-x^2)	$\frac{x^{2}}{x^{2} - 16} + \frac{8 (x - 2)}{16 - x^{2}}$
1740	Simplify	(a^2+6a+9)/(a^2+6a+15)	$\frac{a^{2} + 6 a + 9}{a^{2} + 6 a + 15}$
1741	Write in Standard Form	3x-y^2=4x+25	$3 x - y^{2} = 4 x + 25$
1742	Solve for j	3j=9(j-10)	$3 j = 9 (j - 10)$
1743	Solve for x	-2x^2+5x+6=4x^2+5x	$- 2 x^{2} + 5 x + 6 = 4 x^{2} + 5 x$
1744	Simplify	2/3(6x-1/6)+3x	$\frac{2}{3} (6 x - \frac{1}{6}) + 3 x$
1745	Solve for g	-4g+4+4=10-2g	$- 4 g + 4 + 4 = 10 - 2 g$
1746	Solve the System of Equations	8x+2y=6 3y=-12x+9	$8 x + 2 y = 6$ $3 y = - 12 x + 9$
1747	Simplify the Radical Expression	square root of 7+ square root of 7	$\sqrt{7} + \sqrt{7}$
1748	Evaluate	1/6+3 2/4	$\frac{1}{6} + 3 \frac{2}{4}$
1749	Find the Domain	((x^2-9)/(y^2-25))÷((2x^2-6x)/(3y^2-15y))+(3-1.5y)/(y+5)	$\frac{x^{2} - 9}{y^{2} - 25} \div \frac{2 x^{2} - 6 x}{3 y^{2} - 15 y} + \frac{3 - 1.5 y}{y + 5}$
1750	Simplify	i square root of 6*i square root of 1/3	$i \sqrt{6} \cdot i \sqrt{\frac{1}{3}}$
1751	Simplify	(5 square root of 8)/( square root of 18)	$\frac{5 \sqrt{8}}{\sqrt{18}}$
1752	Solve for x	4/9x-12=-1/6(x-12)-3	$\frac{4}{9} x - 12 = - \frac{1}{6} (x - 12) - 3$
1753	Solve by Addition/Elimination	y=-x+1 y=4x-14	$y = - x + 1$ $y = 4 x - 14$
1754	Solve for θ in Radians	cos(theta)+sin(theta)*tan(theta)=2	$\cos (θ) + \sin (θ) \cdot \tan (θ) = 2$
1755	Factor	x(b+c)+3b+3c	$x (b + c) + 3 b + 3 c$
1756	Evaluate	30-1÷(1/25)	$30 - 1 \div \frac{1}{25}$
1757	Simplify	3 cube root of 36xy*2 cube root of 6x^2y^2	$3 \sqrt[3]{36 x y} \cdot 2 \sqrt[3]{6 x^{2} y^{2}}$
1758	Solve the Inequality for x	(x+3)/x>=2	$\frac{x + 3}{x} \geq 2$
1759	Evaluate	(x+5)/(y-3)=0	$\frac{(x + 5)}{(y - 3)} = 0$
1760	Simplify	((b-2)^2)/((2-b)^2)	$\frac{{(b - 2)}^{2}}{{(2 - b)}^{2}}$
1761	Simplify	((x^2+2x-3)/(x-4))/((2x^2+5x-3)/(x^2-16))	$\frac{\frac{x^{2} + 2 x - 3}{x - 4}}{\frac{2 x^{2} + 5 x - 3}{x^{2} - 16}}$
1762	Simplify	5a^0+(5a)^0	$5 a^{0} + {(5 a)}^{0}$
1763	Find the Product	(2x^3y-3y)^2	${(2 x^{3} y - 3 y)}^{2}$
1764	Simplify	(x-3)/(x-1)-2/(1-x)	$\frac{x - 3}{x - 1} - \frac{2}{1 - x}$
1765	Solve the Inequality for y	32>-2y	$32 > - 2 y$
1766	Simplify	(8y^-8)/(x^3y^-5)	$\frac{8 y^{- 8}}{x^{3} y^{- 5}}$
1767	Solve for m	2m^3-m^2-18m+9=0	$2 m^{3} - m^{2} - 18 m + 9 = 0$
1768	Convert to Radical Form	((a^2+3)^(1/3))/((a^2-3)^(-1/3))	$\frac{{(a^{2} + 3)}^{\frac{1}{3}}}{{(a^{2} - 3)}^{\frac{- 1}{3}}}$
1769	Simplify	(xy)/(a^2+a^3)*(a+a^2)/(x^2y^2)	$\frac{x y}{a^{2} + a^{3}} \cdot \frac{a + a^{2}}{x^{2} y^{2}}$
1770	Simplify	(5x)/(4x-8)+(x+2)/(x-2)	$\frac{5 x}{4 x - 8} + \frac{x + 2}{x - 2}$
1771	Evaluate the Limit	limit as x approaches infinity of square root of (x+2020)(x+2021)-x	$lim_{x \to \infty} \sqrt{(x + 2020) (x + 2021)} - x$
1772	Solve for y	-2+2(6y+7)=9y	$- 2 + 2 (6 y + 7) = 9 y$
1773	Evaluate	0.756^2-0.2410.756-0.4150.756	${0.756}^{2} - 0.241 \cdot 0.756 - 0.415 \cdot 0.756$
1774	Find the Product	(2^3x)^2	${(2^{3} x)}^{2}$
1775	Solve for y	1-2/(6y)=3/(12y)	$1 - \frac{2}{6 y} = \frac{3}{12 y}$
1776	Evaluate the Integral	integral of [12x^2+csc(3x)^2] with respect to x	$\int [12 x^{2} + \csc^{2} (3 x)] d x$
1777	Solve by Substitution	-1=2x-y 8x-4y=-4	$- 1 = 2 x - y$ $8 x - 4 y = - 4$
1778	Solve for m	0.5(7m-5)+3=8(2m+0.5)	$0.5 (7 m - 5) + 3 = 8 (2 m + 0.5)$
1779	Solve the Inequality for x	4 square root of x-2>20	$4 \sqrt{x - 2} > 20$
1780	Simplify	i square root of 18+i square root of 27	$i \sqrt{18} + i \sqrt{27}$
1781	Simplify	((x^(1/4))^8)/( cube root of x^3)	$\frac{{(x^{\frac{1}{4}})}^{8}}{\sqrt[3]{x^{3}}}$
1782	Find Amplitude, Period, and Phase Shift	y=-sin((6x)/5-(2pi)/3)	$y = - \sin (\frac{6 x}{5} - \frac{2 π}{3})$
1783	Multiply	6 square root of 8*2 square root of 3	$6 \sqrt{8} \cdot 2 \sqrt{3}$
1784	Multiply	(2x^2-x-3)/(x+4)*(x^2-2x-24)/(x+1)	$\frac{2 x^{2} - x - 3}{x + 4} \cdot \frac{x^{2} - 2 x - 24}{x + 1}$
1785	Simplify	(x^-2y)/(x^4y^-1)	$\frac{x^{- 2} y}{x^{4} y^{- 1}}$
1786	Factor	(24x^4-15x^2+6x)-(10x^4+5x^2-4x)	$(24 x^{4} - 15 x^{2} + 6 x) - (10 x^{4} + 5 x^{2} - 4 x)$
1787	Solve for n	n=2 , a=36	$n = 2$ , $a = 36$
1788	Solve for x	\|x-3\|+1=0	$\| x - 3 \| + 1 = 0$
1789	Simplify the Radical Expression	-2 fourth root of 80x^8y^9z	$- 2 \sqrt[4]{80 x^{8} y^{9} z}$
1790	Simplify	(-10m^-1y^0r)/(-14m^-7y^-3r^-4)	$\frac{- 10 m^{- 1} y^{0} r}{- 14 m^{- 7} y^{- 3} r^{- 4}}$
1791	Find the Antiderivative	x*e^(x^2)	$x \cdot e^{x^{2}}$
1792	Convert to Radical Form	13(ab)^(1/2)	$13 {(a b)}^{\frac{1}{2}}$
1793	Solve for x	1/5(5x-5)+3x=-9(1/3X+4)	$\frac{1}{5} (5 x - 5) + 3 x = - 9 (\frac{1}{3} X + 4)$
1794	Simplify	(2^33^2)/(2^43^2)	$\frac{2^{3} \cdot 3^{2}}{2^{4} \cdot 3^{2}}$
1795	Solve for m	5(m-2)+m=6(m-4)	$5 (m - 2) + m = 6 (m - 4)$
1796	Solve for k	10k-10=5(3k+5)	$10 k - 10 = 5 (3 k + 5)$
1797	Evaluate the Integral	integral of 5x^2sec(2x^3-6)^2 with respect to x	$\int 5 x^{2} \sec^{2} (2 x^{3} - 6) d x$
1798	Solve Using the Quadratic Formula	9x^2-1-(3x-2)^2=0	$9 x^{2} - 1 - {(3 x - 2)}^{2} = 0$
1799	Simplify	(a-b)(a+b)(a-3b)	$(a - b) (a + b) (a - 3 b)$
1800	Solve for m	(5^6)/(5^m)=5^9	$\frac{5^{6}}{5^{m}} = 5^{9}$