Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17601	Divide	((6a^2)/(15a+10))÷(5/(15a+10))	$\frac{6 a^{2}}{15 a + 10} \div \frac{5}{15 a + 10}$
17602	Simplify	cube root of 648/750	$\sqrt[3]{\frac{648}{750}}$
17603	Find the Domain and Range	f(x)=-2/(3(x-5))+4	$f (x) = - \frac{2}{3 (x - 5)} + 4$
17604	Simplify the Radical Expression	2 cube root of 9+7 cube root of 9-3 cube root of 9	$2 \sqrt[3]{9} + 7 \sqrt[3]{9} - 3 \sqrt[3]{9}$
17605	Graph	f(x)=(1+x)^(1/x)	$f (x) = {(1 + x)}^{\frac{1}{x}}$
17606	Solve the Inequality for y	20y>-5+18y	$20 y > - 5 + 18 y$
17607	Find the End Behavior	y=-2x^5+4x^4+x^3-x^2-1	$y = - 2 x^{5} + 4 x^{4} + x^{3} - x^{2} - 1$
17608	Find dy/dx	2-4y^2+3x^3=3y-5y^3	$2 - 4 y^{2} + 3 x^{3} = 3 y - 5 y^{3}$
17609	Evaluate the Limit	limit as x approaches 3 of (x^4-3x^3)/(9-x^2)	$lim_{x \to 3} \frac{x^{4} - 3 x^{3}}{9 - x^{2}}$
17610	Factor by Grouping	x^3-x^2	$x^{3} - x^{2}$
17611	Simplify	(2 square root of y-3 square root of 2)(4 square root of y-5 square root of 2)	$(2 \sqrt{y} - 3 \sqrt{2}) (4 \sqrt{y} - 5 \sqrt{2})$
17612	Simplify	5+2(x-4(3x+7(2-x)))	$5 + 2 (x - 4 (3 x + 7 (2 - x)))$
17613	Solve for x	8(x-1)+2/3=2/3	$8 (x - 1) + \frac{2}{3} = \frac{2}{3}$
17614	Find All Complex Solutions	5y^3-3y^2+8y=0	$5 y^{3} - 3 y^{2} + 8 y = 0$
17615	Solve by Addition/Elimination	4y=2x-8 5x-4y=20	$4 y = 2 x - 8$ $5 x - 4 y = 20$
17616	Find the Antiderivative	x^3e^(x^2)	$x^{3} e^{x^{2}}$
17617	Find the Inverse	f(x)=-( cube root of 4x)/2	$f (x) = - \frac{\sqrt[3]{4 x}}{2}$
17618	Evaluate	log base 2 of 5* log base 5 of 2	$\log_{2} (5) \cdot \log_{5} (2)$
17619	Simplify	cube root of 2x--11 cube root of 2x	$\sqrt[3]{2 x} - - 11 \sqrt[3]{2 x}$
17620	Verify the Identity	(1+cot(alpha))/(csc(alpha))=sin(alpha)+cos(alpha)	$\frac{1 + \cot (α)}{\csc (α)} = \sin (α) + \cos (α)$
17621	Simplify	(3 square root of 2c)/(5 square root of 10x)	$\frac{3 \sqrt{2 c}}{5 \sqrt{10 x}}$
17622	Find the Exact Value	(4^5*4^-7)÷(4^-2)	$4^{5} \cdot 4^{- 7} \div 4^{- 2}$
17623	Solve for x	x/(x+2)-(1-x)/2=x-1	$\frac{x}{x + 2} - \frac{1 - x}{2} = x - 1$
17624	Solve the Inequality for g	14g>56	$14 g > 56$
17625	Graph Using a Table of Values	y = square root of x-3	$y = \sqrt{x} - 3$
17626	Solve for t	1000=-16t^2+1700	$1000 = - 16 t^{2} + 1700$
17627	Solve for x	2(7(x+3)-8)=54	$2 (7 (x + 3) - 8) = 54$
17628	Verify the Identity	x^4-y^4=(x-y)(x+y)(x^2+y^2)	$x^{4} - y^{4} = (x - y) (x + y) (x^{2} + y^{2})$
17629	Evaluate	1e^1	$1 e^{1}$
17630	Solve for u	1.85(u-3)-8=1.25	$1.85 (u - 3) - 8 = 1.25$
17631	Find the Domain	((5y^2)/(1-y^2))÷(1-1/(1-y))	$\frac{5 y^{2}}{1 - y^{2}} \div (1 - \frac{1}{1 - y})$
17632	Simplify	(14xy^(1/3))/(2x^(3/4)z^-6)	$\frac{14 x y^{\frac{1}{3}}}{2 x^{\frac{3}{4}} z^{- 6}}$
17633	Solve for c	5y=3478-3c	$5 y = 3478 - 3 c$
17634	Find the Antiderivative	2csc(x/3)^2	$2 \csc^{2} (\frac{x}{3})$
17635	Simplify	fourth root of 81(x-4)^4	$\sqrt[4]{81 {(x - 4)}^{4}}$
17636	Simplify	5m(5^1)	$5 m (5^{1})$
17637	Evaluate the Integral	integral from 0 to pi/2 of cos(x)^11sin(x)^5 with respect to x	$\int_{0}^{\frac{π}{2}} \cos^{11} (x) \sin^{5} (x) d x$
17638	Solve for y	y(y+4)=-4	$y (y + 4) = - 4$
17639	Simplify	(16x^2y)÷8x	$16 x^{2} y \div 8 x$
17640	Simplify	(-1/2)/((- square root of 3)/2)	$\frac{\frac{- 1}{2}}{\frac{- \sqrt{3}}{2}}$
17641	Solve for p	-9/10p-3=3/5	$- \frac{9}{10} p - 3 = \frac{3}{5}$
17642	Find the x and y Intercepts	f(x) = log base 1/2 of x+3	$f (x) = \log_{\frac{1}{2}} (x) + 3$
17643	Find the Slope	f(x)=x-5	$f (x) = x - 5$
17644	Graph	(y/2)-1=4^(x-1)	$(\frac{y}{2}) - 1 = 4^{x - 1}$
17645	Simplify	(4x^2+x-5)-(5x^2-1)	$(4 x^{2} + x - 5) - (5 x^{2} - 1)$
17646	Evaluate	78-(2^4)÷(14-6)*2	$78 - 2^{4} \div (14 - 6) \cdot 2$
17647	Simplify	(2y+4)/(5y)*(10y^2)/(y^2+3y+2)	$\frac{2 y + 4}{5 y} \cdot \frac{10 y^{2}}{y^{2} + 3 y + 2}$
17648	Solve for s	(s+5)/9=16/(s-5)	$\frac{s + 5}{9} = \frac{16}{s - 5}$
17649	Solve for y	2\|y+3\|^2-9\|y+3\|-5=0	$2 {\| y + 3 \|}^{2} - 9 \| y + 3 \| - 5 = 0$
17650	Simplify	4m^-1n^2p^-7	$4 m^{- 1} n^{2} p^{- 7}$
17651	Simplify	square root of 2( square root of 3- square root of 8)	$\sqrt{2} (\sqrt{3} - \sqrt{8})$
17652	Simplify	(x^5)^-3*(x^4)^4	${(x^{5})}^{- 3} \cdot {(x^{4})}^{4}$
17653	Evaluate	7(3x+5)=11-(x+9)	$7 (3 x + 5) = 11 - (x + 9)$
17654	Simplify	((3x^3)^2)/(x^2*x^3)	$\frac{{(3 x^{3})}^{2}}{x^{2} \cdot x^{3}}$
17655	Evaluate the Integral	integral from 0 to 2 of (x^2-1)e^(x^3-3x+1) with respect to x	$\int_{0}^{2} (x^{2} - 1) e^{x^{3} - 3 x + 1} d x$
17656	Graph	{X\|x>=-4}	${X \| x \geq - 4}$
17657	Simplify	(2x)1/4	$(2 x) \frac{1}{4}$
17658	Simplify the Radical Expression	fourth root of (3x^6y^5)/(16x^-2y^13)	$\sqrt[4]{\frac{3 x^{6} y^{5}}{16 x^{- 2} y^{13}}}$
17659	Solve using Gaussian Elimination	x_1-3x_2+5x_3=18 2x_1+3x_2-4x_3=-5 x_1-x_2+2x_3=9	$x_{1} - 3 x_{2} + 5 x_{3} = 18$ $2 x_{1} + 3 x_{2} - 4 x_{3} = - 5$ $x_{1} - x_{2} + 2 x_{3} = 9$
17660	Find dy/dx	-xy^2-3+2x^3=-3y^3	$- x y^{2} - 3 + 2 x^{3} = - 3 y^{3}$
17661	Evaluate the Limit	limit as x approaches pi/(()/())*2 of xcos(x)	$lim_{x \to \frac{π}{\frac{}{}} \cdot 2} x \cos (x)$
17662	Simplify	3(12-5)+8*4	$3 (12 - 5) + 8 \cdot 4$
17663	Evaluate the Limit	limit as x approaches 1 of -(7x^2-5x-4)(x^(1/3)+8)	$lim_{x \to 1} - (7 x^{2} - 5 x - 4) (x^{\frac{1}{3}} + 8)$
17664	Solve the System of Equations	7x+y+3z=3 -4x-y-2z=-4 -5x-y-4z=-2	$7 x + y + 3 z = 3$ $- 4 x - y - 2 z = - 4$ $- 5 x - y - 4 z = - 2$
17665	Rationalize the Denominator	square root of x/(8y)	$\sqrt{\frac{x}{8 y}}$
17666	Simplify	-2x-10 from 10x^2+3	$- 2 x - 10$ from $10 x^{2} + 3$
17667	Simplify	(1+1/x)(1-2/(x+1))(1+2/(x-1))	$(1 + \frac{1}{x}) (1 - \frac{2}{x + 1}) (1 + \frac{2}{x - 1})$
17668	Solve for k	(k+5)/7=5/3	$\frac{k + 5}{7} = \frac{5}{3}$
17669	Solve by Addition/Elimination	2x=3y-5 and 5x+6y=28	$2 x = 3 y - 5$ and $5 x + 6 y = 28$
17670	Solve the Function Operation	f(x)=5 square root of x ; find f^-1(x)	$f (x) = 5 \sqrt{x}$ ; find $f^{- 1} (x)$
17671	Simplify	cos(theta)sin(theta)(sec(theta)-csc(theta))	$\cos (θ) \sin (θ) (\sec (θ) - \csc (θ))$
17672	Find Amplitude, Period, and Phase Shift	y=2/3sin(pix)	$y = \frac{2}{3} \sin (π x)$
17673	Find the Second Derivative	y=e^(-x)+2xe^(-x)+x^2e^(-x)	$y = e^{- x} + 2 x e^{- x} + x^{2} e^{- x}$
17674	Find the Exact Value	( square root of 3- square root of 6+ square root of 12- square root of 24)*( square root of 6)/2	$(\sqrt{3} - \sqrt{6} + \sqrt{12} - \sqrt{24}) \cdot \frac{\sqrt{6}}{2}$
17675	Find the Maximum/Minimum Value	f(x)=-\|x+1\|+6	$f (x) = - \| x + 1 \| + 6$
17676	Solve the System of Inequalities	3x-2y<=-1 x+4y>=-12	$3 x - 2 y \leq - 1$ $x + 4 y \geq - 12$
17677	Find the Sum of the Series	32-8+2-0.5+...	$32 - 8 + 2 - 0.5 + \dots$
17678	Find the GCF	15 and 25	$15$ and $25$
17679	Factor	4(2x-1)^2(3x-2)+(2x-1)(3x-2)^2	$4 {(2 x - 1)}^{2} (3 x - 2) + (2 x - 1) {(3 x - 2)}^{2}$
17680	Solve the Function Operation	f(x)=3x^2+5 g(x)=4x-2 h(x)=x^2-3x+1 Find f(x)+g(x)-h(x)	$f (x) = 3 x^{2} + 5$ $g (x) = 4 x - 2$ $h (x) = x^{2} - 3 x + 1$ Find $f (x) + g (x) - h (x)$
17681	Describe the Transformation	y=2 square root of -x+4	$y = 2 \sqrt{- x + 4}$
17682	Simplify	fifth root of 6^2* fifth root of 6^3	$\sqrt[5]{6^{2}} \cdot \sqrt[5]{6^{3}}$
17683	Multiply	fourth root of 8* cube root of 32	$\sqrt[4]{8} \cdot \sqrt[3]{32}$
17684	Solve the Function Operation	f(x)=3x+5 g(x)=4x^2-2 h(x)=x^2-3x+1 Find f(x)-g(x)-h(x)	$f (x) = 3 x + 5$ $g (x) = 4 x^{2} - 2$ $h (x) = x^{2} - 3 x + 1$ Find $f (x) - g (x) - h (x)$
17685	Solve for d	a=bcd	$a = b c d$
17686	Factor by Grouping	a^7b^2-ab^2	$a^{7} b^{2} - a b^{2}$
17687	Solve for p	log base 4 of 2p^2+3p = log base 4 of p^2+10	$\log_{4} (2 p^{2} + 3 p) = \log_{4} (p^{2} + 10)$
17688	Factor	64x^3+1=0	$64 x^{3} + 1 = 0$
17689	Find dy/dx	-4+x=x^2y+4y^2	$- 4 + x = x^{2} y + 4 y^{2}$
17690	Find the x and y Intercepts	-1/4x-1/3y=12	$- \frac{1}{4} x - \frac{1}{3} y = 12$
17691	Find the Derivative - d/dx	2x^2(3x-4)	$2 x^{2} (3 x - 4)$
17692	Simplify the Radical Expression	20 root of 1/(b*b^7)	$\sqrt[20]{\frac{1}{b \cdot b^{7}}}$
17693	Graph	2x+y<2 x-4y>9	$2 x + y < 2$ $x - 4 y > 9$
17694	Find Where Increasing/Decreasing	g(x)=1/3x^3+3/2x^2-70x+5	$g (x) = \frac{1}{3} x^{3} + \frac{3}{2} x^{2} - 70 x + 5$
17695	Find the Length of a	tri{4}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
17696	Simplify the Radical Expression	( square root of y)/( square root of y- square root of 5)	$\frac{\sqrt{y}}{\sqrt{y} - \sqrt{5}}$
17697	Divide	(20 square root of 45x^4)/(4 square root of 9x)	$\frac{20 \sqrt{45 x^{4}}}{4 \sqrt{9 x}}$
17698	Solve for x	(x-18)/2>=(x-9)/3+5/6	$\frac{x - 18}{2} \geq \frac{x - 9}{3} + \frac{5}{6}$
17699	Factor	2x^4=9x^2	$2 x^{4} = 9 x^{2}$
17700	Simplify	square root of 16x^4* fourth root of 16x^2	$\sqrt{16 x^{4}} \cdot \sqrt[4]{16 x^{2}}$