Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
22601	Find the Derivative - d/dx	( log base 5 of x)/(x^2)	$\frac{\log_{5} (x)}{x^{2}}$
22602	Divide	(16p^3-24p^2+8p)÷8p	$(16 p^{3} - 24 p^{2} + 8 p) \div 8 p$
22603	Find dy/dx	x^3+2x^2y-4y=7	$x^{3} + 2 x^{2} y - 4 y = 7$
22604	Solve for w	15w^2+4w-1=2w	$15 w^{2} + 4 w - 1 = 2 w$
22605	Find Amplitude, Period, and Phase Shift	y=cos(6pix+pi/2)	$y = \cos (6 π x + \frac{π}{2})$
22606	Simplify	(a^4b^3x^-7y^-4)/(a^2x^5y^-2)	$\frac{a^{4} b^{3} x^{- 7} y^{- 4}}{a^{2} x^{5} y^{- 2}}$
22607	Evaluate	40% of 20	$40 %$ of $20$
22608	Convert from Degrees to Radians	-120deg	$- 120$ degrees
22609	Simplify	((a^(2c))/(a^(c+2)))^-2	${(\frac{a^{2 c}}{a^{c + 2}})}^{- 2}$
22610	Find the Domain and Range	f(y)=9x+9	$f (y) = 9 x + 9$
22611	Evaluate the Limit	limit as x approaches c of infinity+-2	$lim_{x \to c} \infty + - 2$
22612	Find the GCF	24 and 60	$24$ and $60$
22613	Simplify	(a^-1+b^-1)(a^-1-b^-1)^-1	$(a^{- 1} + b^{- 1}) {(a^{- 1} - b^{- 1})}^{- 1}$
22614	Solve for t₁	p_1/t_1=p_2/t_2	$\frac{p_{1}}{t_{1}} = \frac{p_{2}}{t_{2}}$
22615	Find the Integral	(-9x^2+10x)dx ?	$(- 9 x^{2} + 10 x) d x$ ?
22616	Graph	kys	$k y s$
22617	Evaluate the Limit	limit as x approaches 5 of 3^(x+1)	$lim_{x \to 5} 3^{x + 1}$
22618	Simplify	(3m^4n^6)(2mn)^0	$(3 m^{4} n^{6}) {(2 m n)}^{0}$
22619	Simplify	(64^-3)^(1/9)	${(64^{- 3})}^{\frac{1}{9}}$
22620	Solve the System of Equations	x^2-4y^2=16 x-6y=-4	$x^{2} - 4 y^{2} = 16$ $x - 6 y = - 4$
22621	Simplify	(2 square root of 3+4 square root of 5)/(2 square root of 3-4 square root of 5)	$\frac{2 \sqrt{3} + 4 \sqrt{5}}{2 \sqrt{3} - 4 \sqrt{5}}$
22622	Simplify the Radical Expression	(x^(4/3)x^(2/3))^(1/3)	${(x^{\frac{4}{3}} x^{\frac{2}{3}})}^{\frac{1}{3}}$
22623	Graph	f(x)=3/4(2/3)^(x+4)-2	$f (x) = \frac{3}{4} {(\frac{2}{3})}^{x + 4} - 2$
22624	Solve the System of Equations	x+y-z=17 y+z=1 z=-3	$x + y - z = 17$ $y + z = 1$ $z = - 3$
22625	Simplify	( square root of 15t^3)/( square root of 135t^5)	$\frac{\sqrt{15 t^{3}}}{\sqrt{135 t^{5}}}$
22626	Graph	2<=x<=6 y>=x y>=3 f(x,y)=2x-3y	$2 \leq x \leq 6$ $y \geq x$ $y \geq 3$ $f (x, y) = 2 x - 3 y$
22627	Simplify	(v-7)/(v+6)*(10v+60)/(v-7)	$\frac{v - 7}{v + 6} \cdot \frac{10 v + 60}{v - 7}$
22628	Find the LCD	(9x)/(x+5) and -7/(2x+10)	$\frac{9 x}{x + 5}$ and $\frac{- 7}{2 x + 10}$
22629	Solve the System of Inequalities	y>=3x-5 y<-x-1	$y \geq 3 x - 5$ $y < - x - 1$
22630	Evaluate the Integral	integral from -5 to 5 of e with respect to x	$\int_{- 5}^{5} e d x$
22631	Solve for r	square root of r/6 = square root of 14-r	$\sqrt{\frac{r}{6}} = \sqrt{14 - r}$
22632	Find the Asymptotes	y=tan(x+pi)	$y = \tan (x + π)$
22633	Solve for x	2(x-8)<=x-12	$2 (x - 8) \leq x - 12$
22634	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-4x^2+x^5+10x^3+5x+8x^4	$f (x) = - 4 x^{2} + x^{5} + 10 x^{3} + 5 x + 8 x^{4}$
22635	Find the Slope	(-4,12) and (4,6)	$(- 4, 12)$ and $(4, 6)$
22636	Factor	(2x-3)^2+12x+9	${(2 x - 3)}^{2} + 12 x + 9$
22637	Solve for x	1/4x+1<5	$\frac{1}{4} x + 1 < 5$
22638	Evaluate	g(4)+g(-1)	$g (4) + g (- 1)$
22639	Simplify	(15a-b)/(12a)-(a-4b)/(9a)	$\frac{15 a - b}{12 a} - \frac{a - 4 b}{9 a}$
22640	Integrate By Parts	integral of 5x^6 natural log of 2x with respect to x	$\int 5 x^{6} \ln (2 x) d x$
22641	Evaluate	(x^2)(x^3)	$(x^{2}) (x^{3})$
22642	Solve the Inequality for c	square root of c+9- square root of c> square root of 3	$\sqrt{c + 9} - \sqrt{c} > \sqrt{3}$
22643	Simplify	(x^3)/(-x^3)	$\frac{x^{3}}{- x^{3}}$
22644	Find the Missing Angle	tri{}{}{}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
22645	Find the Derivative - d/dx	(\|x\|)/x	$\frac{\| x \|}{x}$
22646	Simplify the Radical Expression	( square root of 2- square root of 3)^2	${(\sqrt{2} - \sqrt{3})}^{2}$
22647	Evaluate the Limit	limit as x approaches -b of ((x+b)^7+(x+b)^10)/(4(x+b))	$lim_{x \to - b} \frac{{(x + b)}^{7} + {(x + b)}^{10}}{4 (x + b)}$
22648	Simplify the Radical Expression	cube root of -8xy^12	$\sqrt[3]{- 8 x y^{12}}$
22649	Solve the System of Equations	y=-1 3x+y=16	$y = - 1$ $3 x + y = 16$
22650	Simplify	(p^3+4)-((p^2+4)+(3p-9))	$(p^{3} + 4) - ((p^{2} + 4) + (3 p - 9))$
22651	Simplify	7 fifth root of b^5n-2b10 root of n^2	$7 \sqrt[5]{b^{5} n} - 2 b \sqrt[10]{n^{2}}$
22652	Graph	f(x)=-1/3x^4+7x^2+15x	$f (x) = - \frac{1}{3} x^{4} + 7 x^{2} + 15 x$
22653	Divide Using Long Polynomial Division	6x^3-5x^2-13x-11 divided by 3x-4	$6 x^{3} - 5 x^{2} - 13 x - 11$ divided by $3 x - 4$
22654	Solve for x	2=(2x-13)^(1/2)+1	$2 = {(2 x - 13)}^{\frac{1}{2}} + 1$
22655	Subtract	(3x+4y-3z)-(2x-6y+7z)	$(3 x + 4 y - 3 z) - (2 x - 6 y + 7 z)$
22656	Divide Using Synthetic Division	(x^6+4x^5-2x^3+7)/(x+1)	$\frac{x^{6} + 4 x^{5} - 2 x^{3} + 7}{x + 1}$
22657	Find the Derivative - d/dx	1/(e^x+1)	$\frac{1}{e^{x} + 1}$
22658	Divide	-(x^2)/x	$- \frac{x^{2}}{x}$
22659	Solve for x	square root of x = square root of x-8-2	$\sqrt{x} = \sqrt{x - 8} - 2$
22660	Solve the Inequality for k	-4<k+3<8	$- 4 < k + 3 < 8$
22661	Solve for x	x/9=(x-3)/(x-1)	$\frac{x}{9} = \frac{x - 3}{x - 1}$
22662	Simplify the Radical Expression	square root of 2( eighth root of 2)	$\sqrt{2} (\sqrt[8]{2})$
22663	Evaluate	((b^(3/5))/(b^(1/10)))	$(\frac{b^{\frac{3}{5}}}{b^{\frac{1}{10}}})$
22664	Evaluate	3pi*180/pi	$3 π \cdot \frac{180}{π}$
22665	Evaluate the Limit	limit as x approaches infinity of (x^3)/(e^x)	$lim_{x \to \infty} \frac{x^{3}}{e^{x}}$
22666	Evaluate	10-(924)÷86	$10 - 9 \cdot 24 \div 8 \cdot 6$
22667	Solve for c	5^(c-2)=8^(2c)	$5^{c - 2} = 8^{2 c}$
22668	Find the Holes in the Graph	f(x)=(x^2-9x+11)/(x-3)	$f (x) = \frac{x^{2} - 9 x + 11}{x - 3}$
22669	Simplify	\|i\|	$\| i \|$
22670	Simplify	(-4/(x-4)*(x^2+17x+70)/(x^2+3x-28))÷((-x-10)/(x^2-8x+16))	$\frac{- 4}{x - 4} \cdot \frac{x^{2} + 17 x + 70}{x^{2} + 3 x - 28} \div \frac{- x - 10}{x^{2} - 8 x + 16}$
22671	Find the Equation Using Two Points	(2,-2) and (0,-1)	$(2, - 2)$ and $(0, - 1)$
22672	Solve for x	(x-(x-1))/2=(1-(x-2))/3	$\frac{x - (x - 1)}{2} = \frac{1 - (x - 2)}{3}$
22673	Simplify	((6y)/(10y^3))÷((18y^2)/(5y^3))	$\frac{6 y}{10 y^{3}} \div \frac{18 y^{2}}{5 y^{3}}$
22674	Simplify the Matrix	(v^3w^-3)/(-v^-6w^3) , v!=0 , w!=0	$\frac{v^{3} w^{- 3}}{- v^{- 6} w^{3}}$ , $v \neq 0$ , $w \neq 0$
22675	Graph	x-2y=6 y=2x	$x - 2 y = 6$ $y = 2 x$
22676	Evaluate the Summation	sum from n=2 to 5 of x-n	$\sum_{n = 2}^{5} x - n$
22677	Evaluate	(1+1000^-1)^1000	${(1 + 1000^{- 1})}^{1000}$
22678	Find the Domain	(b-c)/(a+b)-(ab-b^2)/(a^2-ac)*(a^2-c^2)/(a^2-b^2)	$\frac{b - c}{a + b} - \frac{a b - b^{2}}{a^{2} - a c} \cdot \frac{a^{2} - c^{2}}{a^{2} - b^{2}}$
22679	Solve by Substitution	7x=-35 -8x+9y=4	$7 x = - 35$ $- 8 x + 9 y = 4$
22680	Find the Exact Value	(6^-6)/(6^-5)	$\frac{6^{- 6}}{6^{- 5}}$
22681	Find the Difference Quotient	1/(2x)	$\frac{1}{2 x}$
22682	Solve for d	2^6*d^6=14^6	$2^{6} \cdot d^{6} = 14^{6}$
22683	Find the Slope	(-4,-2) and (-4,-22)	$(- 4, - 2)$ and $(- 4, - 22)$
22684	Add	(-4x+2x^3-5)+(6x^2-3x+6x^3)+(13-2x^2+9x-8x^2)	$(- 4 x + 2 x^{3} - 5) + (6 x^{2} - 3 x + 6 x^{3}) + (13 - 2 x^{2} + 9 x - 8 x^{2})$
22685	Simplify	cube root of 16xy^2* cube root of 4x^4y	$\sqrt[3]{16 x y^{2}} \cdot \sqrt[3]{4 x^{4} y}$
22686	Find the Asymptotes	f(x)=1/4 log base 5 of x	$f (x) = \frac{1}{4} \log_{5} (x)$
22687	Evaluate the Limit	limit as x approaches negative infinity of (2x^4-8x+x+2)/(4x^4-5x^2-2)	$lim_{x \to - \infty} \frac{2 x^{4} - 8 x + x + 2}{4 x^{4} - 5 x^{2} - 2}$
22688	Simplify	sixth root of s^7 square root of s^5	$\sqrt[6]{s^{7}} \sqrt{s^{5}}$
22689	Find the Asymptotes	(3x^2+18x+24)/(x^2+2x)	$\frac{3 x^{2} + 18 x + 24}{x^{2} + 2 x}$
22690	Convert to a Decimal	cos(180)deg	$\cos (180)$ degrees
22691	Factor	3cd^2+12cd+12c	$3 c d^{2} + 12 c d + 12 c$
22692	Solve the Inequality for x	5x<2(-3/4x+5/4)-x	$5 x < 2 (- \frac{3}{4} x + \frac{5}{4}) - x$
22693	Find the Exact Value	tan(-495 degrees )	$\tan (- 495 °)$
22694	Evaluate the Limit	limit as x approaches 6 of (2x-1) square root of x+4	$lim_{x \to 6} (2 x - 1) \sqrt{x + 4}$
22695	Simplify	4x-7+6(2x-2y+8)	$4 x - 7 + 6 (2 x - 2 y + 8)$
22696	Evaluate	i^29i^17i^32	$i^{29} \cdot i^{17} \cdot i^{32}$
22697	Simplify	-2(4x^2+5x)+x(x^2+6x)	$- 2 (4 x^{2} + 5 x) + x (x^{2} + 6 x)$
22698	Expand the Logarithmic Expression	log of ( cube root of z^4y^4)/(x^2)	$\log (\frac{\sqrt[3]{z^{4} y^{4}}}{x^{2}})$
22699	Solve for x	4(x^2-x)=x^2-3	$4 (x^{2} - x) = x^{2} - 3$
22700	Write in Standard Form	(3x^2+11x+4)+(-5x+x^2-13)	$(3 x^{2} + 11 x + 4) + (- 5 x + x^{2} - 13)$