Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
21601	Factor	sin(x)^3-sin(x)^2-sin(x)+1	$\sin^{3} (x) - \sin^{2} (x) - \sin (x) + 1$
21602	Multiply	j^2(k^5j^3)	$j^{2} (k^{5} j^{3})$
21603	Simplify	f(x)( cube root of 64x^6)/(x^5)	$f (x) \frac{\sqrt[3]{64 x^{6}}}{x^{5}}$
21604	Solve for y	x+2=3y	$x + 2 = 3 y$
21605	Find All Complex Solutions	square root of 2x+3=x	$\sqrt{2 x + 3} = x$
21606	Solve the Function Operation	f(x)=10(x+7) ; find f^-1(x)	$f (x) = 10 (x + 7)$ ; find $f^{- 1} (x)$
21607	Solve for x	(x+1)(x^2-5x+6)<=0	$(x + 1) (x^{2} - 5 x + 6) \leq 0$
21608	Solve the Function Operation	sin(theta)=-12/13 , theta in Quadrant IV	$\sin (θ) = - \frac{12}{13}$ , $θ$ in Quadrant $I V$
21609	Simplify	square root of (5-x)^3-8	$\sqrt{{(5 - x)}^{3}} - 8$
21610	Evaluate the Limit	limit as x approaches 7 of cube root of (2-8x)/(x-5)	$lim_{x \to 7} \sqrt[3]{\frac{2 - 8 x}{x - 5}}$
21611	Evaluate	(x^7y^3)/(xy^-4)	$\frac{x^{7} y^{3}}{x y^{- 4}}$
21612	Simplify	3^0-4x^0+(-2x^2)^0	$3^{0} - 4 x^{0} + {(- 2 x^{2})}^{0}$
21613	Find the Possible Factors	factors of 42	factors of $42$
21614	Solve for x	-(-2x+1)=9-14x	$- (- 2 x + 1) = 9 - 14 x$
21615	Write in Slope-Intercept Form	y+4=x	$y + 4 = x$
21616	Solve for c	2x^3-2x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 2 x^{2} - 24 x = a x (x + b) (x + c)$
21617	Solve for f	e^2+f^2=1	$e^{2} + f^{2} = 1$
21618	Simplify	-6+(-2d)+(-4d)+3d	$- 6 + (- 2 d) + (- 4 d) + 3 d$
21619	Simplify the Matrix	(3x^2)/(x^2-25)-x/(x+5)+2/(x-5) , x!=-5 , 5	$\frac{3 x^{2}}{x^{2} - 25} - \frac{x}{x + 5} + \frac{2}{x - 5}$ , $x \neq - 5$ , $5$
21620	Find the Exact Value	(-7c+8d)*0.6	$(- 7 c + 8 d) \cdot 0.6$
21621	Evaluate	g(5)=6.72(2)^5	$g (5) = 6.72 {(2)}^{5}$
21622	Simplify	((m^8m^3)/(nm))^3	${(\frac{m^{8} \cdot m^{3}}{n \cdot m})}^{3}$
21623	Simplify	(x+4)(x+1)(2x-3)(x-1)	$(x + 4) (x + 1) (2 x - 3) (x - 1)$
21624	Multiply	square root of 3x^4* square root of 5x^2* square root of 10	$\sqrt{3 x^{4}} \cdot \sqrt{5 x^{2}} \cdot \sqrt{10}$
21625	Find the Domain	(\|x-2\|)/( square root of x)	$\frac{\| x - 2 \|}{\sqrt{x}}$
21626	Solve for x	(1/27)^4=9^(2x)	${(\frac{1}{27})}^{4} = 9^{2 x}$
21627	Solve for c	198=9-7c^3	$198 = 9 - 7 c^{3}$
21628	Evaluate	square root of x-8+ square root of x=4	$\sqrt{x - 8} + \sqrt{x} = 4$
21629	Evaluate	2x+2x+2=4x+2	$2 x + 2 x + 2 = 4 x + 2$
21630	Solve the Inequality for x	-8<(2x+5)/2<2	$- 8 < \frac{2 x + 5}{2} < 2$
21631	Simplify	2(cos((5pi)/3)+isin((5pi)/3))*4(cos(pi/6)+isin(pi/6))	$2 (\cos (\frac{5 π}{3}) + i \sin (\frac{5 π}{3})) \cdot 4 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
21632	Combine Like Terms	3(2/3p+3-1/3p-5)	$3 (\frac{2}{3} p + 3 - \frac{1}{3} p - 5)$
21633	Solve the Inequality for b	\|b-7\|<6	$\| b - 7 \| < 6$
21634	Solve for x	5/(6x-2)=-1/(x+1)	$\frac{5}{6 x - 2} = \frac{- 1}{x + 1}$
21635	Solve the Inequality for x	x^2+x-14<=6x-8	$x^{2} + x - 14 \leq 6 x - 8$
21636	Evaluate	( square root of 1/2)^3(2/( square root of 3))^3	${(\sqrt{\frac{1}{2}})}^{3} {(\frac{2}{\sqrt{3}})}^{3}$
21637	Solve the Inequality for x	4-2/3x>2-x	$4 - \frac{2}{3} x > 2 - x$
21638	Find the Value Using the Unit Circle	sec(90 degrees )	$\sec (90 °)$
21639	Solve for x	(4x)/(x-1)-(5x)/(x-2)=2/(x^2-3x+2)	$\frac{4 x}{x - 1} - \frac{5 x}{x - 2} = \frac{2}{x^{2} - 3 x + 2}$
21640	Simplify	(sin(theta))/(1+cos(theta))+(1-cos(theta))/(sin(theta))	$\frac{\sin (θ)}{1 + \cos (θ)} + \frac{1 - \cos (θ)}{\sin (θ)}$
21641	Solve for x	(x+3)/4=(7x-1)/2	$\frac{x + 3}{4} = \frac{7 x - 1}{2}$
21642	Solve for d	d*24=-12	$d \cdot 24 = - 12$
21643	Find the Inflection Points	1/10x^5-2x^4+12x^3	$\frac{1}{10} x^{5} - 2 x^{4} + 12 x^{3}$
21644	Solve for b	1/2b+9/4=7/4	$\frac{1}{2} b + \frac{9}{4} = \frac{7}{4}$
21645	Simplify	(3/4*2/7)÷(1/2)	$\frac{3}{4} \cdot \frac{2}{7} \div \frac{1}{2}$
21646	Simplify	((x-4)/(2x^2))÷((3x-12)/(6x))	$\frac{x - 4}{2 x^{2}} \div \frac{3 x - 12}{6 x}$
21647	Simplify	3x3x^23x^3	$3 x \cdot 3 x^{2} \cdot 3 x^{3}$
21648	Simplify	1/(4^(1/2))	$\frac{1}{4^{\frac{1}{2}}}$
21649	Evaluate	(x+4)/4=x/(x-2)	$\frac{x + 4}{4} = \frac{x}{x - 2}$
21650	Factor by Grouping	3/2u^2v^4-2 1/2u^3v^5+1/2u^4v^2	$\frac{3}{2} u^{2} v^{4} - 2 \frac{1}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}$
21651	Solve Using the Quadratic Formula	x^2-11=x+9	$x^{2} - 11 = x + 9$
21652	Simplify the Radical Expression	( cube root of x^5)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{5}}}{\sqrt[5]{x^{2}}}$
21653	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (2 natural log of x+1+2x)/(4sin(x)-2x^3)	$lim_{x \to 0} \frac{2 \ln (x + 1) + 2 x}{4 \sin (x) - 2 x^{3}}$
21654	Find Amplitude, Period, and Phase Shift	y=sin((8pix)/3+pi/2)	$y = \sin (\frac{8 π x}{3} + \frac{π}{2})$
21655	Find the Domain	(x-3)/(x-1)-2/(1-x)	$\frac{x - 3}{x - 1} - \frac{2}{1 - x}$
21656	Solve by Graphing	2x-2y=14 x-y=2	$2 x - 2 y = 14$ $x - y = 2$
21657	Evaluate	-1/( square root of 1-(3/4)^2)	$- \frac{1}{\sqrt{1 - {(\frac{3}{4})}^{2}}}$
21658	Find the First Term	a_n=12+(n-1)*-2	$a_{n} = 12 + (n - 1) \cdot - 2$
21659	Find the Asymptotes	f(x)=(x^2)/(x^2-x)	$f (x) = \frac{x^{2}}{x^{2} - x}$
21660	Graph	y<=-4x+3 and y>=2x-5	$y \leq - 4 x + 3$ and $y \geq 2 x - 5$
21661	Find the Fourth Derivative	x^5-2/(x^3)-4x+2	$x^{5} - \frac{2}{x^{3}} - 4 x + 2$
21662	Simplify the Radical Expression	i^17	$i^{17}$
21663	Solve for x	5/2=2/x	$\frac{5}{2} = \frac{2}{x}$
21664	Simplify the Radical Expression	( square root of 5n)/(2 square root of 15n^4)	$\frac{\sqrt{5 n}}{2 \sqrt{15 n^{4}}}$
21665	Evaluate	10( square root of 81-12)	$10 (\sqrt{81} - 12)$
21666	Find the Derivative - d/dy	x+y^2	$x + y^{2}$
21667	Solve for x	25^(2-2x)=(1/625)^(x+1)	$25^{2 - 2 x} = {(\frac{1}{625})}^{x + 1}$
21668	Solve for x	5x+1/4=61/4	$5 x + \frac{1}{4} = \frac{61}{4}$
21669	Find the Norm	[[3,6,0,9,8,7]]	$[\begin{array}{c} 3 & 6 & 0 & 9 & 8 & 7 \end{array}]$
21670	Solve for x	2x+7+x=5+4x-3	$2 x + 7 + x = 5 + 4 x - 3$
21671	Simplify	(x1/5)(2x2/5)	$(x \frac{1}{5}) (2 x \frac{2}{5})$
21672	Write in Slope-Intercept Form	(-4,-2) and (4,0)	$(- 4, - 2)$ and $(4, 0)$
21673	Simplify	(10m^5n^2-30mn)/(5mn)	$\frac{10 m^{5} n^{2} - 30 m n}{5 m n}$
21674	Simplify	(x^2-1)/(x^2)	$\frac{x^{2} - 1}{x^{2}}$
21675	Evaluate	70% of 20	$70 %$ of $20$
21676	Solve for n	-4=-8+ square root of 32-2n	$- 4 = - 8 + \sqrt{32 - 2 n}$
21677	Simplify	3x square root of (x^5)/81	$3 x \sqrt{\frac{x^{5}}{81}}$
21678	Solve the Inequality for x	5+4x>=x+8	$5 + 4 x \geq x + 8$
21679	Solve the Inequality for t	15+3/2t<=21	$15 + \frac{3}{2} t \leq 21$
21680	Simplify	2 square root of 24*5/( square root of 4)	$2 \sqrt{24} \cdot \frac{5}{\sqrt{4}}$
21681	Simplify/Condense	(1/(csc(x)))(tan(x)+cot(x))	$(\frac{1}{\csc (x)}) (\tan (x) + \cot (x))$
21682	Write in Standard Form	y=x/3+4	$y = \frac{x}{3} + 4$
21683	Simplify	((x+6)/3)÷(x/7)	$(\frac{x + 6}{3}) \div (\frac{x}{7})$
21684	Simplify	(cot(theta+pi)cos(theta))/(csc(theta+2pi))	$\frac{\cot (θ + π) \cos (θ)}{\csc (θ + 2 π)}$
21685	Graph	f(x)=(4-2x)/(1-x)	$f (x) = \frac{4 - 2 x}{1 - x}$
21686	Find the Antiderivative	f(x)=4 cube root of x-6 square root of x	$f (x) = 4 \sqrt[3]{x} - 6 \sqrt{x}$
21687	Solve the Inequality for u	2(u-5)>14	$2 (u - 5) > 14$
21688	Find Amplitude, Period, and Phase Shift	y=-1/2sec(x)	$y = - \frac{1}{2} \sec (x)$
21689	Evaluate	(-( square root of 8)/3)^2	${(- \frac{\sqrt{8}}{3})}^{2}$
21690	Evaluate	(8+24)÷(12*4)	$(8 + 24) \div (12 \cdot 4)$
21691	Solve for x in Radians	sin(x)^2=1/4	$\sin^{2} (x) = \frac{1}{4}$
21692	Simplify	( square root of 75- square root of 45)* square root of 15	$(\sqrt{75} - \sqrt{45}) \cdot \sqrt{15}$
21693	Solve by Factoring	12x^2-36x+27=0	$12 x^{2} - 36 x + 27 = 0$
21694	Convert to a Percentage	10 is what percent of 40	$10$ is what percent of $40$
21695	Simplify	a^2-2ab+b^2+2a^2+2ab+b^2	$a^{2} - 2 a b + b^{2} + 2 a^{2} + 2 a b + b^{2}$
21696	Find the Maximum/Minimum Value	x^3-x	$x^{3} - x$
21697	Factor by Grouping	1/125x^3+27y^3	$\frac{1}{125} x^{3} + 27 y^{3}$
21698	Simplify	c(-ab)(a^2b^2c^2)	$c (- a b) (a^{2} b^{2} c^{2})$
21699	Simplify	xy^4*3y^2x^2	$x y^{4} \cdot 3 y^{2} x^{2}$
21700	Solve for v	2/(v-5)=6/(3v-15)-4	$\frac{2}{v - 5} = \frac{6}{3 v - 15} - 4$