Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5601	Simplify	((36a^-3b)^-1)/((9a^-2b)^-1)	$\frac{{(36 a^{- 3} b)}^{- 1}}{{(9 a^{- 2} b)}^{- 1}}$
5602	Graph	2>8-4/3h	$2 > 8 - \frac{4}{3} h$
5603	Solve for x	2^(3x^2-15x)=(1/4)^(-3x+15)	$2^{3 x^{2} - 15 x} = {(\frac{1}{4})}^{- 3 x + 15}$
5604	Evaluate the Limit	limit as x approaches 8 of square root of (13-x)/(x+12)	$lim_{x \to 8} \sqrt{\frac{13 - x}{x + 12}}$
5605	Simplify	fourth root of 5* fourth root of 5^5	$\sqrt[4]{5} \cdot \sqrt[4]{5^{5}}$
5606	Graph	f(x)=(-4x)/5+4	$f (x) = \frac{- 4 x}{5} + 4$
5607	Simplify	square root of 10a square root of (35a)/14	$\sqrt{10 a} \sqrt{\frac{35 a}{14}}$
5608	Solve for x	36^(16x-62)=6^(2x^2+2)	$36^{16 x - 62} = 6^{2 x^{2} + 2}$
5609	Simplify the Radical Expression	cube root of 4/(9m)	$\sqrt[3]{\frac{4}{9 m}}$
5610	Simplify	( square root of 3+ square root of 6)*( square root of 2-2)	$(\sqrt{3} + \sqrt{6}) \cdot (\sqrt{2} - 2)$
5611	Convert to Kilometers	149.6 billion m convert to km	$149.6$ billion $meters$ convert to $kilometers$
5612	Simplify	x^-2(x^4-3x^3+x^-1)	$x^{- 2} (x^{4} - 3 x^{3} + x^{- 1})$
5613	Evaluate the Limit	limit as x approaches -6 of ((2x+8)/(x^2-12)-1/x)/(x+6)	$lim_{x \to - 6} \frac{\frac{2 x + 8}{x^{2} - 12} - \frac{1}{x}}{x + 6}$
5614	Solve the Inequality for r	8<=r-14	$8 \leq r - 14$
5615	Simplify	(7k^-8*3k^-2)/(6k^2)	$\frac{7 k^{- 8} \cdot 3 k^{- 2}}{6 k^{2}}$
5616	Evaluate	y=12(1.05)^5	$y = 12 {(1.05)}^{5}$
5617	Evaluate	(1/(9^(3/2)))	$(\frac{1}{9^{\frac{3}{2}}})$
5618	Find the Equation Using Point-Slope Formula	(1,-1) , y=3/2x+5	$(1, - 1)$ , $y = \frac{3}{2} x + 5$
5619	Describe the Transformation	y = square root of 4x	$y = \sqrt{4 x}$
5620	Solve for x	3x+2(5-x)=0	$3 x + 2 (5 - x) = 0$
5621	Graph	2^(2x-1)<4	$2^{2 x - 1} < 4$
5622	Simplify	square root of 106 square root of 2- cube root of 729 cube root of 27	$\sqrt{10} \cdot 6 \sqrt{2} - \sqrt[3]{729} \cdot \sqrt[3]{27}$
5623	Find the Antiderivative	e^x+2x	$e^{x} + 2 x$
5624	Simplify	7yi^4-10yi^3	$7 y i^{4} - 10 y i^{3}$
5625	Find the Roots (Zeros)	2x^4-4x^3=-2x^2	$2 x^{4} - 4 x^{3} = - 2 x^{2}$
5626	Solve for n	square root of n-10=1- square root of n	$\sqrt{n - 10} = 1 - \sqrt{n}$
5627	Evaluate Using the Given Value	2x-y for x=17 and y=12	$2 x - y$ for $x = 17$ and $y = 12$
5628	Solve by Graphing	y=x+3 y=2/5x	$y = x + 3$ $y = \frac{2}{5} x$
5629	Solve for n	0.5n=1.5(-3n+10)	$0.5 n = 1.5 (- 3 n + 10)$
5630	Evaluate	(22-4^2)/3+2^3	$\frac{22 - 4^{2}}{3} + 2^{3}$
5631	Solve for d	-10d-12-19=-d+14	$- 10 d - 12 - 19 = - d + 14$
5632	Simplify	( fourth root of 3)/( cube root of 3)	$\frac{\sqrt[4]{3}}{\sqrt[3]{3}}$
5633	Simplify	(mm^-2m^(5/3))^2	${(m \cdot m^{- 2} \cdot m^{\frac{5}{3}})}^{2}$
5634	Simplify	1/(7x^2-7x)+6/(7x^2+14x)	$\frac{1}{7 x^{2} - 7 x} + \frac{6}{7 x^{2} + 14 x}$
5635	Simplify the Radical Expression	( square root of 2)÷( square root of 3)	$\sqrt{2} \div \sqrt{3}$
5636	Solve for x	(x-3)/5=x-3	$\frac{x - 3}{5} = x - 3$
5637	Simplify	(2x^(3/2))/((16x^4)^(1/4))	$\frac{2 x^{\frac{3}{2}}}{{(16 x^{4})}^{\frac{1}{4}}}$
5638	Add	(4a^4-6a^3-3a^2+a+1)+(5a^3+7a^2+2a-2)	$(4 a^{4} - 6 a^{3} - 3 a^{2} + a + 1) + (5 a^{3} + 7 a^{2} + 2 a - 2)$
5639	Factor	(x^2)/25-(xy)/5+(y^2)/4	$\frac{x^{2}}{25} - \frac{x y}{5} + \frac{y^{2}}{4}$
5640	Graph	y-2>=x^2	$y - 2 \geq x^{2}$
5641	Simplify the Radical Expression	- square root of 4/5	$- \sqrt{\frac{4}{5}}$
5642	Solve the System of Equations	-1=2x-y 8x-4y=-4	$- 1 = 2 x - y$ $8 x - 4 y = - 4$
5643	Solve for x	v=1/6bhx	$v = \frac{1}{6} b h x$
5644	Find the Antiderivative	1/x-1/(x^2)	$\frac{1}{x} - \frac{1}{x^{2}}$
5645	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3x+8x^3+x^4+2	$f (x) = 3 x + 8 x^{3} + x^{4} + 2$
5646	Factor	-12x^4y-9x^3y^2+3x^2y^3	$- 12 x^{4} y - 9 x^{3} y^{2} + 3 x^{2} y^{3}$
5647	Find All Complex Solutions	1/6x^3=-36	$\frac{1}{6} x^{3} = - 36$
5648	Simplify	5w(-7w+3)-2w(13-9w^2)	$5 w (- 7 w + 3) - 2 w (13 - 9 w^{2})$
5649	Solve for b	-3f^3+1/6mb=d	$- 3 f^{3} + \frac{1}{6} m b = d$
5650	Simplify	2/(4^-4)	$\frac{2}{4^{- 4}}$
5651	Find the First Term	A_n=21-2n^2	$A_{n} = 21 - 2 n^{2}$
5652	Evaluate the Integral	integral of (25x^4+x) with respect to x	$\int (25 x^{4} + x) d x$
5653	Simplify	i^19i^9i^6*i^10	$i^{19} \cdot i^{9} \cdot i^{6} \cdot i^{10}$
5654	Add	(5w^3-w+2w^2+4)+(3w^2+1-4w)	$(5 w^{3} - w + 2 w^{2} + 4) + (3 w^{2} + 1 - 4 w)$
5655	Write in Standard Form	4x+6y^3x-xy+xy^2	$4 x + 6 y^{3} x - x y + x y^{2}$
5656	Simplify	(10x+y^2)(10x-y^2)	$(10 x + y^{2}) (10 x - y^{2})$
5657	Integrate Using u-Substitution	integral of x square root of 2x+1 with respect to x	$\int x \sqrt{2 x + 1} d x$
5658	Simplify	(1/(27^(4/3)))	$(\frac{1}{27^{\frac{4}{3}}})$
5659	Find the Coterminal Angle	5pi	$5 π$
5660	Solve for a	9 = cube root of a	$9 = \sqrt[3]{a}$
5661	Solve for y	1 1/5y+3/10y-1/2y=1/3y+2/5	$1 \frac{1}{5} y + \frac{3}{10} y - \frac{1}{2} y = \frac{1}{3} y + \frac{2}{5}$
5662	Simplify	x^2y cube root of 54x^8y^7	$x^{2} y \sqrt[3]{54 x^{8} y^{7}}$
5663	Evaluate	8-4*3(-2)^2	$8 - 4 \cdot 3 {(- 2)}^{2}$
5664	Solve for x	(x+7)/(x+2)+7/(x-2)=(2x+3)/(x-2)	$\frac{x + 7}{x + 2} + \frac{7}{x - 2} = \frac{2 x + 3}{x - 2}$
5665	Solve for x	-8+6x+5x=-11-7	$- 8 + 6 x + 5 x = - 11 - 7$
5666	Graph	f(x)=\|x\|*x	$f (x) = \| x \| \cdot x$
5667	Solve the System of Equations	y=3/2x y=3x-3	$y = \frac{3}{2} x$ $y = 3 x - 3$
5668	Simplify	(14x^6y^3-49x^5y^9)/(-7x^4y)	$\frac{14 x^{6} y^{3} - 49 x^{5} y^{9}}{- 7 x^{4} y}$
5669	Simplify	cube root of (128x^5)/(16x^2)	$\sqrt[3]{\frac{128 x^{5}}{16 x^{2}}}$
5670	Solve for x	(1/3)^(2x+3)=5	${(\frac{1}{3})}^{2 x + 3} = 5$
5671	Evaluate	8x^0+1	$8 x^{0} + 1$
5672	Solve the System of Equations	y=5/3x y=2x-1	$y = \frac{5}{3} x$ $y = 2 x - 1$
5673	Simplify	-10p^2q^8r^5*4qp^0r^3	$- 10 p^{2} q^{8} r^{5} \cdot 4 q p^{0} r^{3}$
5674	Write in Standard Form	(4f^5-6f^4+12f^3-8f^2)(4f^2)^-1	$(4 f^{5} - 6 f^{4} + 12 f^{3} - 8 f^{2}) {(4 f^{2})}^{- 1}$
5675	Solve for x	2/3x+5=-3x-3	$\frac{2}{3} x + 5 = - 3 x - 3$
5676	Solve for x	y=a square root of x	$y = a \sqrt{x}$
5677	Evaluate the Integral	integral from 0 to 1 of square root of x(x+1) with respect to x	$\int_{0}^{1} \sqrt{x} (x + 1) d x$
5678	Simplify	( cube root of x* square root of x^3)/( square root of 25x)	$\frac{\sqrt[3]{x} \cdot \sqrt{x^{3}}}{\sqrt{25 x}}$
5679	Graph	yy>=x+1	$y \cdot y \geq x + 1$
5680	Simplify the Radical Expression	12 root of 4a^2b^4c^2	$\sqrt[12]{4 a^{2} b^{4} c^{2}}$
5681	Simplify	( square root of 7x)/( square root of 10x^3)	$\frac{\sqrt{7 x}}{\sqrt{10 x^{3}}}$
5682	Simplify	(3x^3y+5x^2y^2-2xy)/(xy)	$\frac{3 x^{3} y + 5 x^{2} y^{2} - 2 x y}{x y}$
5683	Simplify	( square root of 7)/2* square root of 3	$\frac{\sqrt{7}}{2} \cdot \sqrt{3}$
5684	Graph	y=-(x^2+1)(2x^4-3)	$y = - (x^{2} + 1) (2 x^{4} - 3)$
5685	Solve for x	x=(-10+- square root of 10^2-457)/(2*5)	$x = \frac{- 10 + - \sqrt{10^{2} - 4 \cdot 5 \cdot 7}}{2 \cdot 5}$
5686	Simplify	((14x-28)/(2x))(8/7)	$(\frac{14 x - 28}{2 x}) (\frac{8}{7})$
5687	Write as a Single Logarithm	log base x of A+3 log base x of B	$\log_{x} (A) + 3 \log_{x} (B)$
5688	Simplify	(x^(3/4))(x^(1/2))	$(x^{\frac{3}{4}}) (x^{\frac{1}{2}})$
5689	Find All Complex Solutions	5x = square root of 10+15x	$5 x = \sqrt{10 + 15 x}$
5690	Graph	2y+x<5 and 3x-y>8	$2 y + x < 5$ and $3 x - y > 8$
5691	Find dy/dx	y = square root of x+x^(3/2)-8x	$y = \sqrt{x} + x^{\frac{3}{2}} - 8 x$
5692	Find the Excluded Values	5/(8x^2+24x)	$\frac{5}{8 x^{2} + 24 x}$
5693	Simplify	4/(3x^2+15x)+(7x)/(x^2+10x+25)	$\frac{4}{3 x^{2} + 15 x} + \frac{7 x}{x^{2} + 10 x + 25}$
5694	Find Angle A	tri{}{}{}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
5695	Determine if Odd, Even, or Neither	f(x)=\|x\|^3	$f (x) = {\| x \|}^{3}$
5696	Simplify	((a^3b^2)/(3c^4))^2((5ab^2)/c)^2	${(\frac{a^{3} b^{2}}{3 c^{4}})}^{2} {(\frac{5 a b^{2}}{c})}^{2}$
5697	Solve for x	18(1.2)^(2x-1)=900	$18 {(1.2)}^{2 x - 1} = 900$
5698	Solve for d	d=1.6+5d	$d = 1.6 + 5 d$
5699	Solve for x	3/(x-2)=3/(x+2)	$\frac{3}{x - 2} = \frac{3}{x + 2}$
5700	Find the Vertex	((y-1)^2)/4-((x+2)^2)/9=1	$\frac{{(y - 1)}^{2}}{4} - \frac{{(x + 2)}^{2}}{9} = 1$