Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
29601	Simplify	2 square root of 10y+ square root of 40y-2 square root of y	$2 \sqrt{10 y} + \sqrt{40 y} - 2 \sqrt{y}$
29602	Find the Domain and Range	y=2pitan(3x)	$y = 2 π \tan (3 x)$
29603	Solve for x	0 = square root of 6x-x	$0 = \sqrt{6 x} - x$
29604	Simplify	-2r^6s^2t*-9r^3s^2t^4	$- 2 r^{6} s^{2} t \cdot - 9 r^{3} s^{2} t^{4}$
29605	Find dy/dx	square root of 2x+y=x	$\sqrt{2 x + y} = x$
29606	Graph	2-(x+3)<4-2x	$2 - (x + 3) < 4 - 2 x$
29607	Convert to Radical Form	((8^-5)/(2^-2))^-4	${(\frac{8^{- 5}}{2^{- 2}})}^{- 4}$
29608	Find dy/dx	y=x natural log of x-x	$y = x \ln (x) - x$
29609	Find the LCD	1/(x-3) and 8/(x+3)	$\frac{1}{x - 3}$ and $\frac{8}{x + 3}$
29610	Find the Local Maxima and Minima	f(x)=-1/2x^4+2x^3+28x^2+18	$f (x) = - \frac{1}{2} x^{4} + 2 x^{3} + 28 x^{2} + 18$
29611	Solve the Inequality for X	4X^2(X^2-9)<=0	$4 X^{2} (X^{2} - 9) \leq 0$
29612	Evaluate	(4-7i)-(-3+6i)	$(4 - 7 i) - (- 3 + 6 i)$
29613	Graph	x-4<=-2(y+6)	$x - 4 \leq - 2 (y + 6)$
29614	Simplify	(3x)/(4y^2)-y/(10x)	$\frac{3 x}{4 y^{2}} - \frac{y}{10 x}$
29615	Divide	(2/3)÷(-2/7)	$\frac{2}{3} \div (- \frac{2}{7})$
29616	Evaluate Using the Given Value	evaluate 6h when h=8	evaluate $6 h$ when $h = 8$
29617	Evaluate	log base 8 of 4+ log base 4 of 8	$\log_{8} (4) + \log_{4} (8)$
29618	Simplify	(w^2-4w-1)+(-5+5w^2-3w)	$(w^{2} - 4 w - 1) + (- 5 + 5 w^{2} - 3 w)$
29619	Solve for x	4^(2x+3)+5=6	$4^{2 x + 3} + 5 = 6$
29620	Evaluate	((5)(3)-(2-7))/4	$\frac{(5) (3) - (2 - 7)}{4}$
29621	Factor	(2x^2-5x+3)(x-3)	$(2 x^{2} - 5 x + 3) (x - 3)$
29622	Solve for y	y-1/8=5/16	$y - \frac{1}{8} = \frac{5}{16}$
29623	Subtract	7z^2-2z^4-2z^2-5z^4	$7 z^{2} - 2 z^{4} - 2 z^{2} - 5 z^{4}$
29624	Evaluate	3(x+9)^(3/4)=24	$3 {(x + 9)}^{\frac{3}{4}} = 24$
29625	Simplify	((e^2-f^2)/(ef))/((e-f)/f)	$\frac{\frac{e^{2} - f^{2}}{e f}}{\frac{e - f}{f}}$
29626	Convert to Interval Notation	(x-6)/4<(x-3)/6+1/12	$\frac{x - 6}{4} < \frac{x - 3}{6} + \frac{1}{12}$
29627	Simplify	5 square root of 6x*2 square root of 8x^6	$5 \sqrt{6 x} \cdot 2 \sqrt{8 x^{6}}$
29628	Find f(g(x))	f(x)=2x-3 and g(x)=1/2x+3	$f (x) = 2 x - 3$ and $g (x) = \frac{1}{2} x + 3$
29629	Solve for P₂	P_1/T_1=P_2/T_2	$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$
29630	Find the Asymptotes	f(x)=2tan(x)	$f (x) = 2 \tan (x)$
29631	Evaluate	3 square root of x+3=15	$3 \sqrt{x + 3} = 15$
29632	Evaluate the Integral	integral of 16x^2 cube root of 7-4x^3 with respect to x	$\int 16 x^{2} \sqrt[3]{7 - 4 x^{3}} d x$
29633	Solve the System of Equations	2x+3y=3 and 3x-2y=11	$2 x + 3 y = 3$ and $3 x - 2 y = 11$
29634	Verify the Identity	sin(theta)^2sec(theta)^2=sec(theta)^2-1	$\sin^{2} (θ) \sec^{2} (θ) = \sec^{2} (θ) - 1$
29635	Simplify	(-7d^3+5d+5d^2-6d^4)-(8d+5d^2+2d^4+3d^3)	$(- 7 d^{3} + 5 d + 5 d^{2} - 6 d^{4}) - (8 d + 5 d^{2} + 2 d^{4} + 3 d^{3})$
29636	Solve for y	1/3y+7+1/6y=1/2y-1	$\frac{1}{3} y + 7 + \frac{1}{6} y = \frac{1}{2} y - 1$
29637	Solve for n	log base 3 of 27=3n+6	$\log_{3} (27) = 3 n + 6$
29638	Solve for u	18u-5u+29=6u-27	$18 u - 5 u + 29 = 6 u - 27$
29639	Simplify	x/(x^2-x-20)+2/(x+4)	$\frac{x}{x^{2} - x - 20} + \frac{2}{x + 4}$
29640	Simplify	((x+9)/(2x)*(x^2-64)/(x+8))÷((x^2+x-72)/3)	$\frac{x + 9}{2 x} \cdot \frac{x^{2} - 64}{x + 8} \div \frac{x^{2} + x - 72}{3}$
29641	Write in Standard Form	(a^3-2a^2)-(3a^2-4a^3)	$(a^{3} - 2 a^{2}) - (3 a^{2} - 4 a^{3})$
29642	Simplify	5/(x+5)-(2x+5)/(x^2+9x+20)	$\frac{5}{x + 5} - \frac{2 x + 5}{x^{2} + 9 x + 20}$
29643	Graph	x>-4 y>=1/2x-3	$x > - 4$ $y \geq \frac{1}{2} x - 3$
29644	Solve for x	(2x-3)/x=14/(x+5)	$\frac{2 x - 3}{x} = \frac{14}{x + 5}$
29645	Graph	f(x)=3+2x^2-4x^3	$f (x) = 3 + 2 x^{2} - 4 x^{3}$
29646	Subtract	(7x^4-3x^3+5x^2+8x-11)-(3x^4-9x^3-4x^2+12x+4)	$(7 x^{4} - 3 x^{3} + 5 x^{2} + 8 x - 11) - (3 x^{4} - 9 x^{3} - 4 x^{2} + 12 x + 4)$
29647	Solve the Triangle	B=30 degrees , C=43 degrees ; and a=8	$B = 30 °$ , $C = 43 °$ ; and $a = 8$
29648	Evaluate the Integral	integral of (x^2-1)/( cube root of x) with respect to x	$\int \frac{x^{2} - 1}{\sqrt[3]{x}} d x$
29649	Find the GCF	28 and 40	$28$ and $40$
29650	Multiply	square root of 2a* square root of 14a^3* square root of 5a	$\sqrt{2 a} \cdot \sqrt{14 a^{3}} \cdot \sqrt{5 a}$
29651	Solve for x	2x(10x+8)=-3(x+1)	$2 x (10 x + 8) = - 3 (x + 1)$
29652	Find the Value Using the Unit Circle	cot(135 degrees )	$\cot (135 °)$
29653	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,1) and has a slope of -6/5 ?	What is the equation of the line that passes through the point $(- 5, 1)$ and has a slope of $- \frac{6}{5}$ ?
29654	Find the Equation Using Slope-Intercept Form	What is the equation of the line that passes through the point (5,-7) and has a slope of o ?	What is the equation of the line that passes through the point $(5, - 7)$ and has a slope of $o$ ?
29655	Simplify	( cube root of 5j^7)( cube root of 20j^2)	$(\sqrt[3]{5 j^{7}}) (\sqrt[3]{20 j^{2}})$
29656	Find the Antiderivative	f(x)=27x^2+cos(x)	$f (x) = 27 x^{2} + \cos (x)$
29657	Find the Derivative - d/dx	tan(x)sin(x)	$\tan (x) \sin (x)$
29658	Find the Maximum/Minimum Value	f(x)=1/2x^4-4x^3+8x^2+46	$f (x) = \frac{1}{2} x^{4} - 4 x^{3} + 8 x^{2} + 46$
29659	Find Amplitude, Period, and Phase Shift	y=6sin(pix-6)-6	$y = 6 \sin (π x - 6) - 6$
29660	Simplify	x--x	$x - - x$
29661	Convert from Radians to Degrees	arcsin(2.5/5)	$\arcsin (\frac{2.5}{5})$
29662	Find the Exact Value	arccos(csc(pi/3))	$\arccos (\csc (\frac{π}{3}))$
29663	Write the Fraction in Simplest Form	(5n^-7c^4)/(-3(n^-3c^2)^2)	$\frac{5 n^{- 7} c^{4}}{- 3 {(n^{- 3} c^{2})}^{2}}$
29664	Simplify	1/2(22x+4y)	$\frac{1}{2} (22 x + 4 y)$
29665	Graph	x+y<=30 2.5x+2.75y>=44	$x + y \leq 30$ $2.5 x + 2.75 y \geq 44$
29666	Solve the Inequality for x	-1/2<=(7-3x)/5<=1/4	$- \frac{1}{2} \leq \frac{7 - 3 x}{5} \leq \frac{1}{4}$
29667	Solve for x	9/(4x)-5/6=13/(12x)	$\frac{9}{4 x} - \frac{5}{6} = \frac{13}{12 x}$
29668	Combine Like Terms	(4n-3n^3)-(3n^3+4n)	$(4 n - 3 n^{3}) - (3 n^{3} + 4 n)$
29669	Factor	(x^3-x)	$(x^{3} - x)$
29670	Evaluate	8-7^2-8÷8-6	$8 - 7^{2} - 8 \div 8 - 6$
29671	Find the Perpendicular Line	What is the equation of the line that is perpendicular to the line y=3x+7 that goes through the point (3,4) ?	What is the equation of the line that is perpendicular to the line $y = 3 x + 7$ that goes through the point $(3, 4)$ ?
29672	Solve for d	5d^2+10d+8=2d^2	$5 d^{2} + 10 d + 8 = 2 d^{2}$
29673	Solve the Rational Equation for x	2/x+1/2=3/4	$\frac{2}{x} + \frac{1}{2} = \frac{3}{4}$
29674	Evaluate	((4.5610^3)(2.510^2))/(5.377*10^4)	$\frac{(4.56 \cdot 10^{3}) (2.5 \cdot 10^{2})}{(5.377 \cdot 10^{4})}$
29675	Solve the Inequality for r	-8r<16	$- 8 r < 16$
29676	Simplify the Radical Expression	(9 fifth root of 160x^8y^11)/(3 fifth root of 5xy^2)	$\frac{9 \sqrt[5]{160 x^{8} y^{11}}}{3 \sqrt[5]{5 x y^{2}}}$
29677	Subtract	(3x^2)/(x^2-x-30)-(3x+5)/(x-6)	$\frac{3 x^{2}}{x^{2} - x - 30} - \frac{3 x + 5}{x - 6}$
29678	Simplify	((e^x)/2-(e^(-x))/2)^2	${(\frac{e^{x}}{2} - \frac{e^{- x}}{2})}^{2}$
29679	Solve the Function Operation	f(x)=(x+8)^(1/5) ; find f^-1(x)	$f (x) = {(x + 8)}^{\frac{1}{5}}$ ; find $f^{- 1} (x)$
29680	Calculate the Square Root	square root of 75yz^2	$\sqrt{75 y z^{2}}$
29681	Simplify	(2pi)/(2x)	$\frac{2 π}{2 x}$
29682	Simplify the Radical Expression	( cube root of 81)/( cube root of 3)	$\frac{\sqrt[3]{81}}{\sqrt[3]{3}}$
29683	Write in Standard Form	7y=3/8x-1	$7 y = \frac{3}{8} x - 1$
29684	Simplify	(4x^2yz^5)/(6x^2y^3z^2)	$\frac{4 x^{2} y z^{5}}{6 x^{2} y^{3} z^{2}}$
29685	Write in Standard Form	y=1/4x^2-2x+9	$y = \frac{1}{4} x^{2} - 2 x + 9$
29686	Write in Standard Form	5i^2	$5 i^{2}$
29687	Evaluate the Integral	integral of (1+cos(x))/(x+sin(x)) with respect to x	$\int \frac{1 + \cos (x)}{x + \sin (x)} d x$
29688	Evaluate	40% of 200	$40 %$ of $200$
29689	Find the Asymptotes	(x^2-16)/(x^2+4x)	$\frac{x^{2} - 16}{x^{2} + 4 x}$
29690	Solve for x	-7+(x^2-19)^(3/4)=20	$- 7 + {(x^{2} - 19)}^{\frac{3}{4}} = 20$
29691	Simplify the Radical Expression	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2} + 4) (5 \sqrt{2} - 4)$
29692	Evaluate the Function	f(x)=5^x for x=2	$f (x) = 5^{x}$ for $x = 2$
29693	Multiply	11(4cd)(-cd^5)	$11 (4 c d) (- c d^{5})$
29694	Write in Standard Form	m(x)=7-12x-4x^2	$m (x) = 7 - 12 x - 4 x^{2}$
29695	Simplify	(6x+6)+(-3-4x)	$(6 x + 6) + (- 3 - 4 x)$
29696	Find the Inverse	f(x)=e^x-3	$f (x) = e^{x} - 3$
29697	Find the Roots (Zeros)	2x^2+x	$2 x^{2} + x$
29698	Simplify	4(6h+8k)-6h	$4 (6 h + 8 k) - 6 h$
29699	Evaluate	(2v)^2*2v^2	${(2 v)}^{2} \cdot 2 v^{2}$
29700	Simplify	(4g^4)/(7h^5)*(8h^6)/(3g^5)	$\frac{4 g^{4}}{7 h^{5}} \cdot \frac{8 h^{6}}{3 g^{5}}$