Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
1801	Simplify	square root of cube root of (x^5y^-8)^2	$\sqrt{\sqrt[3]{{(x^{5} y^{- 8})}^{2}}}$
1802	Simplify	square root of 13( sixth root of 13)	$\sqrt{13} (\sqrt[6]{13})$
1803	Simplify	(w(xy)^-2)/((3tv)^-2)	$\frac{w {(x y)}^{- 2}}{{(3 t v)}^{- 2}}$
1804	Solve the System of Inequalities	2x-y>=-2 8x-y<5	$2 x - y \geq - 2$ $8 x - y < 5$
1805	Solve for x	(3x-5)/4=-5/7	$\frac{3 x - 5}{4} = \frac{- 5}{7}$
1806	Graph	6<x+3y	$6 < x + 3 y$
1807	Simplify	fourth root of 3( fourth root of 2+ fourth root of 4)	$\sqrt[4]{3} (\sqrt[4]{2} + \sqrt[4]{4})$
1808	Simplify	((2a^-2b^4c^2)/(-4a^-2b^-5c^-7))^-1	${(\frac{2 a^{- 2} b^{4} c^{2}}{- 4 a^{- 2} b^{- 5} c^{- 7}})}^{- 1}$
1809	Evaluate	log base b of bx	$\log_{b} (b x)$
1810	Solve the Inequality for N	-9+3(7N+1)<=2N-1+5N	$- 9 + 3 (7 N + 1) \leq 2 N - 1 + 5 N$
1811	Solve for x	3-(4x)/5=(4+x)/5	$3 - \frac{4 x}{5} = \frac{4 + x}{5}$
1812	Graph	3x+y<=1 x-y<=3	$3 x + y \leq 1$ $x - y \leq 3$
1813	Simplify	(-10(pt^4)r)/(-5p^3t^2r)	$\frac{- 10 p t^{4} r}{- 5 p^{3} t^{2} r}$
1814	Solve the System of Equations	x-2y=-6 4y=2x+12	$x - 2 y = - 6$ $4 y = 2 x + 12$
1815	Simplify	(a/b)^(-4/5)	${(\frac{a}{b})}^{- \frac{4}{5}}$
1816	Solve for x	10/(2x-9)=20/9	$\frac{10}{2 x - 9} = \frac{20}{9}$
1817	Solve for s	fourth root of 2s+10=4	$\sqrt[4]{2 s + 10} = 4$
1818	Simplify	((c+2)^2)/(7c^2+14c)	$\frac{{(c + 2)}^{2}}{7 c^{2} + 14 c}$
1819	Find the Antiderivative	(2^x-1)/(e^x)	$\frac{2^{x} - 1}{e^{x}}$
1820	Evaluate the Integral	integral of (x^3-4x-1)/(2x^3) with respect to x	$\int \frac{x^{3} - 4 x - 1}{2 x^{3}} d x$
1821	Simplify	x(2x^2+3x)	$x (2 x^{2} + 3 x)$
1822	Find the x and y Intercepts	f(x)=-12 cube root of x	$f (x) = - 12 \sqrt[3]{x}$
1823	Find the Integral	5^xdx	$5^{x} d x$
1824	Simplify	((x+4)/(x^2+2))÷((x^2-2)/(x-8))	$\frac{x + 4}{x^{2} + 2} \div \frac{x^{2} - 2}{x - 8}$
1825	Solve the Inequality for h	2/3h>14	$\frac{2}{3} h > 14$
1826	Simplify the Radical Expression	cube root of 250+ cube root of 54+ square root of 72	$\sqrt[3]{250} + \sqrt[3]{54} + \sqrt{72}$
1827	Find the Derivative - d/dy	natural log of 1+x^2+2y^2	$\ln (1 + x^{2} + 2 y^{2})$
1828	Graph	x=-1/2y^2-4y-7	$x = - \frac{1}{2} y^{2} - 4 y - 7$
1829	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x-2)^2(x+3)(x+1)^2	$f (x) = {(x - 2)}^{2} (x + 3) {(x + 1)}^{2}$
1830	Simplify	(-3x+x^3-2x^2)-(4x^3-2x^2-4x)	$(- 3 x + x^{3} - 2 x^{2}) - (4 x^{3} - 2 x^{2} - 4 x)$
1831	Graph Using a Table of Values	y=0.5^x	$y = {0.5}^{x}$
1832	Convert to Radical Form	(7ab)^(1/2)	${(7 a b)}^{\frac{1}{2}}$
1833	Solve for x	5x=ax+w	$5 x = a x + w$
1834	Simplify	(tan(x)-sin(x))/(sin(x))	$\frac{\tan (x) - \sin (x)}{\sin (x)}$
1835	Simplify	4/(5(x+9))+(3x)/(x+9)	$\frac{4}{5 (x + 9)} + \frac{3 x}{x + 9}$
1836	Find the x and y Intercepts	y=(2x+3)(x-1)(x-4)	$y = (2 x + 3) (x - 1) (x - 4)$
1837	Evaluate	(5(37^15-197^14))/(7^16+3*7^15)	$\frac{5 (3 \cdot 7^{15} - 19 \cdot 7^{14})}{7^{16} + 3 \cdot 7^{15}}$
1838	Evaluate the Integral	integral of 5x( square root of x-x^2) with respect to x	$\int 5 x (\sqrt{x} - x^{2}) d x$
1839	Simplify	( square root of 4)/(3 square root of 25)	$\frac{\sqrt{4}}{3 \sqrt{25}}$
1840	Find the Domain and Range	( square root of x-2)/(x-3)	$\frac{\sqrt{x - 2}}{x - 3}$
1841	Evaluate the Summation	sum from n=0 to 4 of nx+2	$\sum_{n = 0}^{4} n x + 2$
1842	Simplify the Radical Expression	1/( square root of x)	$\frac{1}{\sqrt{x}}$
1843	Find the Discriminant	-x^2+2x+3=-6X	$- x^{2} + 2 x + 3 = - 6 X$
1844	Simplify	(-4a^2)(2a^-3)^-4	$(- 4 a^{2}) {(2 a^{- 3})}^{- 4}$
1845	Find the Maximum/Minimum Value	f(x)=-x^4+2x^2-x-2	$f (x) = - x^{4} + 2 x^{2} - x - 2$
1846	Factor	1/3xy+2/3y	$\frac{1}{3} x y + \frac{2}{3} y$
1847	Solve for x	-5+1/4x=3x+6	$- 5 + \frac{1}{4} x = 3 x + 6$
1848	Find the Antiderivative	(2x+3)/( square root of x)	$\frac{2 x + 3}{\sqrt{x}}$
1849	Write Using Positive Exponents	(13x^-5y^0)/(5^-3z^-10)	$\frac{13 x^{- 5} y^{0}}{5^{- 3} z^{- 10}}$
1850	Solve for s	7s-7(s+9)=-9s	$7 s - 7 (s + 9) = - 9 s$
1851	Solve for y	1/(y+9)-2=1/(2(y+9))	$\frac{1}{y + 9} - 2 = \frac{1}{2 (y + 9)}$
1852	Simplify the Radical Expression	m/( fourth root of m)	$\frac{m}{\sqrt[4]{m}}$
1853	Find Where Increasing/Decreasing	f(x) = square root of x-4	$f (x) = \sqrt{x} - 4$
1854	Verify the Differential Equation Solution	y'+2y=0 , y=3e^(-2x)	$y' + 2 y = 0$ , $y = 3 e^{- 2 x}$
1855	Find the Slope of the Tangent Line at (1/2,8)	f(t)=t^-3 ;, (1/2,8)	$f (t) = t^{- 3}$ ;, $(\frac{1}{2}, 8)$
1856	Solve for t	d=kt^2	$d = k t^{2}$
1857	Simplify	(14x^0y^-2)/(2^-1z^-3)	$\frac{14 x^{0} y^{- 2}}{2^{- 1} z^{- 3}}$
1858	Simplify	-2(x+y)^0	$- 2 {(x + y)}^{0}$
1859	Solve the Inequality for f	-72<f/-6	$- 72 < \frac{f}{- 6}$
1860	Evaluate	5 2/5-4÷1 2/3	$5 \frac{2}{5} - 4 \div 1 \frac{2}{3}$
1861	Simplify	((p^2t^7)/10)^3	${(\frac{p^{2} t^{7}}{10})}^{3}$
1862	Graph	y>-1/2x-1 y<=-2x	$y > - \frac{1}{2} x - 1$ $y \leq - 2 x$
1863	Evaluate	(-3^-2)/(2^-3)	$\frac{- 3^{- 2}}{2^{- 3}}$
1864	Solve for x	1/(2x)+2/(6x)=1+2/(7x)	$\frac{1}{2 x} + \frac{2}{6 x} = 1 + \frac{2}{7 x}$
1865	Find the Domain and Range	y=1/2*2^x-4	$y = \frac{1}{2} \cdot 2^{x} - 4$
1866	Solve for x	1/2-1/(3x)=-4	$\frac{1}{2} - \frac{1}{3 x} = - 4$
1867	Find f(g(x))	f(x)=3x^2 , g(x)=2x^3	$f (x) = 3 x^{2}$ , $g (x) = 2 x^{3}$
1868	Find the Antiderivative	f(x)=-3x^-4+10x^(2/3)	$f (x) = - 3 x^{- 4} + 10 x^{\frac{2}{3}}$
1869	Evaluate	11/15+(2/3)÷1 1/2-7/30	$\frac{11}{15} + \frac{2}{3} \div 1 \frac{1}{2} - \frac{7}{30}$
1870	Convert to Radical Form	((m)^(1/3))^(1/4)	${({(m)}^{\frac{1}{3}})}^{\frac{1}{4}}$
1871	Solve by Substitution	8x-1/3y=0 12x+3=y	$8 x - \frac{1}{3} y = 0$ $12 x + 3 = y$
1872	Simplify	(3^-4+5^-3)^-1	${(3^{- 4} + 5^{- 3})}^{- 1}$
1873	Evaluate the Integral	integral of (x^3+3)^3x^5 with respect to x	$\int {(x^{3} + 3)}^{3} x^{5} d x$
1874	Solve for u	6u=6(-4u+5)	$6 u = 6 (- 4 u + 5)$
1875	Find the Intersection	y>=3-x y<5x-2	$y \geq 3 - x$ $y < 5 x - 2$
1876	Solve for b	-6b-6b-9=8b-9	$- 6 b - 6 b - 9 = 8 b - 9$
1877	Subtract	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
1878	Solve for t	4t-2+t^2=6+t^2	$4 t - 2 + t^{2} = 6 + t^{2}$
1879	Solve for B	B/(d+5^2)=3G	$\frac{B}{d + 5^{2}} = 3 G$
1880	Solve for x	4.6>x+3/4	$4.6 > x + \frac{3}{4}$
1881	Write in Standard Form	f(x)=(x-4)(x+4)	$f (x) = (x - 4) (x + 4)$
1882	Divide	(6k^2m-12k^3m^2+9m^3)/(2(km^2))	$\frac{6 k^{2} m - 12 k^{3} m^{2} + 9 m^{3}}{2 {km}^{2}}$
1883	Simplify	(3-x)(3x^2+x-4)	$(3 - x) (3 x^{2} + x - 4)$
1884	Simplify	(( square root of 2)/2+i square root of 2)(( square root of 2)/2-i square root of 2)	$(\frac{\sqrt{2}}{2} + i \sqrt{2}) (\frac{\sqrt{2}}{2} - i \sqrt{2})$
1885	Simplify the Radical Expression	( cube root of 3* cube root of 18)/( sixth root of 2* sixth root of 2)	$\frac{\sqrt[3]{3} \cdot \sqrt[3]{18}}{\sqrt[6]{2} \cdot \sqrt[6]{2}}$
1886	Solve for x	(2x)/(2x+5)=5/6-8/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{5}{6} - \frac{8}{4 x + 10}$
1887	Simplify	x/(3x+12)-(x+1)/(x+4)	$\frac{x}{3 x + 12} - \frac{x + 1}{x + 4}$
1888	Simplify	-8mn*(2m-3mp+p^2)	$- 8 m n \cdot (2 m - 3 m p + p^{2})$
1889	Graph	y>- square root of 2x-3+4	$y > - \sqrt{2 x - 3} + 4$
1890	Find the Product	(7x-8)(3x+5y)	$(7 x - 8) (3 x + 5 y)$
1891	Solve for x	2(x-2/3)=0	$2 (x - \frac{2}{3}) = 0$
1892	Find the Product	(7j^2)^3	${(7 j^{2})}^{3}$
1893	Solve for x	x+4(3.5x)=15	$x + 4 (3.5 x) = 15$
1894	Simplify	9x-7i>9x-21u	$9 x - 7 i > 9 x - 21 u$
1895	Solve for x	5/7=2/(9x)	$\frac{5}{7} = \frac{2}{9 x}$
1896	Solve for s	-8s=-7s+10	$- 8 s = - 7 s + 10$
1897	Simplify	1/(1+tan(x)^2)+1/(1+cot(x)^2)	$\frac{1}{1 + \tan^{2} (x)} + \frac{1}{1 + \cot^{2} (x)}$
1898	Simplify	2sin(10 degrees )cos(10 degrees )	$2 \sin (10 °) \cos (10 °)$
1899	Write in Standard Form	(8x^3-6x^4+3)-(3x^3-3+8x^4)	$(8 x^{3} - 6 x^{4} + 3) - (3 x^{3} - 3 + 8 x^{4})$
1900	Rationalize the Denominator	(1- square root of 3)/( square root of 3)	$\frac{1 - \sqrt{3}}{\sqrt{3}}$