Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
30801	Simplify	(6x^2-216)/(x^2-2x-48)(64-x^2)/(x^2+13x+40)(-x-5)/(x^2-36)	$\frac{6 x^{2} - 216}{x^{2} - 2 x - 48} \cdot \frac{64 - x^{2}}{x^{2} + 13 x + 40} \cdot \frac{- x - 5}{x^{2} - 36}$
30802	Add	5 square root of 3+2 square root of 3+10 square root of 3	$5 \sqrt{3} + 2 \sqrt{3} + 10 \sqrt{3}$
30803	Find the Antiderivative	f(x)=tan(x)(4cos(x)+8sec(x))	$f (x) = \tan (x) (4 \cos (x) + 8 \sec (x))$
30804	Subtract	square root of 27x^5y-6 square root of 3x^5y	$\sqrt{27 x^{5} y} - 6 \sqrt{3 x^{5} y}$
30805	Solve by Substitution	2x+y=6 AND 3y-18=-6x	$2 x + y = 6$ AND $3 y - 18 = - 6 x$
30806	Find the Derivative - d/dx	2e^x+2e^(-x)	$2 e^{x} + 2 e^{- x}$
30807	Solve for x	(1/8)^(x-5)=4^x	${(\frac{1}{8})}^{x - 5} = 4^{x}$
30808	Graph	1/2x-3<-1 3/8	$\frac{1}{2} x - 3 < - 1 \frac{3}{8}$
30809	Solve for m	1/3(15m-12)=-5(m-2)	$\frac{1}{3} (15 m - 12) = - 5 (m - 2)$
30810	Solve for x in Radians	-sin(x)=0	$- \sin (x) = 0$
30811	Solve the Rational Equation for x	5^(3-2x)=5^(-x)	$5^{3 - 2 x} = 5^{- x}$
30812	Solve the Inequality for x	3x^2+45x+159<-3	$3 x^{2} + 45 x + 159 < - 3$
30813	Find dy/dx	3x^3-xy^3+3-4y^3=0	$3 x^{3} - x y^{3} + 3 - 4 y^{3} = 0$
30814	Write in Standard Form	square root of 9	$\sqrt{9}$
30815	Convert to Interval Notation	-4x-8<-x+7<-4x-5	$- 4 x - 8 < - x + 7 < - 4 x - 5$
30816	Simplify	c^3d^2(c^2d-2d)	$c^{3} d^{2} (c^{2} d - 2 d)$
30817	Evaluate	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
30818	Simplify	( square root of 12x)/(2x^2)	$\frac{\sqrt{12 x}}{2 x^{2}}$
30819	Find the Value Using the Unit Circle	-( square root of 3)/2	$- \frac{\sqrt{3}}{2}$
30820	Find the Center and Radius	x^2+y^2+x-y+6=0	$x^{2} + y^{2} + x - y + 6 = 0$
30821	Calculate the Square Root	( square root of 9)^2+5	${(\sqrt{9})}^{2} + 5$
30822	Find the Degree	2x^5y^2z+x^4z	$2 x^{5} y^{2} z + x^{4} z$
30823	Solve for a	4(a+3)-2(a+6)=20	$4 (a + 3) - 2 (a + 6) = 20$
30824	Find the Maximum/Minimum Value	y=-1/5(x-5)^2-2	$y = - \frac{1}{5} {(x - 5)}^{2} - 2$
30825	Simplify	(10+4i)/2	$\frac{10 + 4 i}{2}$
30826	Find the First Term	A_n=n(n-1)(n-2)	$A_{n} = n (n - 1) (n - 2)$
30827	Find Amplitude, Period, and Phase Shift	y=-4sin(x+3pi) ?	$y = - 4 \sin (x + 3 π)$ ?
30828	Multiply	fourth root of 8a^3b* fourth root of 10a^2b^7	$\sqrt[4]{8 a^{3} b} \cdot \sqrt[4]{10 a^{2} b^{7}}$
30829	Convert from Radians to Degrees	14rad	$14$ radians
30830	Write in Standard Form	-k^5-1+8k-3k^3+1/4k^2	$- k^{5} - 1 + 8 k - 3 k^{3} + \frac{1}{4} k^{2}$
30831	Find the Cosine of the Angle	300 degrees	$300 °$
30832	Find the x and y Intercepts	y=1/4x^2+x-6	$y = \frac{1}{4} x^{2} + x - 6$
30833	Solve for y	-5/y<0	$- \frac{5}{y} < 0$
30834	Find the Derivative - d/dt	y=e^(sin(t))	$y = e^{\sin (t)}$
30835	Simplify	(4-x^2)/(-x-3)(x+4)/(x-2)(-x-3)/(x^2+6x+8)	$\frac{4 - x^{2}}{- x - 3} \cdot \frac{x + 4}{x - 2} \cdot \frac{- x - 3}{x^{2} + 6 x + 8}$
30836	Factor	x^4-13x^2=-36	$x^{4} - 13 x^{2} = - 36$
30837	Integrate Using u-Substitution	integral of 1/(x^2+4) with respect to x	$\int \frac{1}{x^{2} + 4} d x$
30838	Solve for x	x/2+1/2=3	$\frac{x}{2} + \frac{1}{2} = 3$
30839	Solve for x	(m^(5/6))(m^(1/6))^7=m^x	$(m^{\frac{5}{6}}) {(m^{\frac{1}{6}})}^{7} = m^{x}$
30840	Solve for y	(6x-1)/y-3=2	$\frac{6 x - 1}{y} - 3 = 2$
30841	Simplify	((4+5)^2)÷3	${(4 + 5)}^{2} \div 3$
30842	Simplify	3x(x+4)((x+1)/(3(x+4)))	$3 x (x + 4) (\frac{x + 1}{3 (x + 4)})$
30843	Solve the Inequality for x	\|x/6\|>=5	$\| \frac{x}{6} \| \geq 5$
30844	Simplify	square root of x^3+x^2- square root of 4+4x	$\sqrt{x^{3} + x^{2}} - \sqrt{4 + 4 x}$
30845	Evaluate	4(x^2-2x)-2(x^2-3)	$4 (x^{2} - 2 x) - 2 (x^{2} - 3)$
30846	Solve by Factoring	25c+10c^2=0	$25 c + 10 c^{2} = 0$
30847	Simplify	e^(- natural log of 2)	$e^{- \ln (2)}$
30848	Simplify	(8(9+x)^(1/3)-x(9+x)^(-2/3))/((9+x)^(2/3))	$\frac{8 {(9 + x)}^{\frac{1}{3}} - x {(9 + x)}^{- \frac{2}{3}}}{{(9 + x)}^{\frac{2}{3}}}$
30849	Find the Antiderivative	1/(e^(2-5x))	$\frac{1}{e^{2 - 5 x}}$
30850	Find the Exact Value	2(1/2+0.5-4/4)	$2 (\frac{1}{2} + 0.5 - \frac{4}{4})$
30851	Simplify	10i-(3- square root of -25)	$10 i - (3 - \sqrt{- 25})$
30852	Simplify	(b^2)^a=b^8	${(b^{2})}^{a} = b^{8}$
30853	Subtract	(p+7)-(6p^2+13p)	$(p + 7) - (6 p^{2} + 13 p)$
30854	Write as a Single Logarithm	1/3 log base b of x- log base b of y	$\frac{1}{3} \log_{b} (x) - \log_{b} (y)$
30855	Find the Derivative - d/dx	-(6x^2)/(2y-1)	$- \frac{6 x^{2}}{2 y - 1}$
30856	Solve for x	2/(x+6)+(2x)/(x+4)=(3x)/(x+6)	$\frac{2}{x + 6} + \frac{2 x}{x + 4} = \frac{3 x}{x + 6}$
30857	Find the LCM	6 and 21	$6$ and $21$
30858	Find the LCD	(x(x-2))/((x-2)(x+3)) and x/(x+3)	$\frac{x (x - 2)}{(x - 2) (x + 3)}$ and $\frac{x}{x + 3}$
30859	Simplify	(2a^2b-3ab^2+5a^2b^2)-(2a^2b^2+4a^2b-5b^2)	$(2 a^{2} b - 3 a b^{2} + 5 a^{2} b^{2}) - (2 a^{2} b^{2} + 4 a^{2} b - 5 b^{2})$
30860	Graph	x+y=-2 y=5x+4	$x + y = - 2$ $y = 5 x + 4$
30861	Simplify	((x+3x)/(y+2y))^2	${(\frac{x + 3 x}{y + 2 y})}^{2}$
30862	Rationalize the Denominator	( square root of xy)/( square root of 3x)	$\frac{\sqrt{x y}}{\sqrt{3 x}}$
30863	Find the x and y Intercepts	P(x)=5(x+1)^2(x-2)^3	$P (x) = 5 {(x + 1)}^{2} {(x - 2)}^{3}$
30864	Solve for x	x^3+2x^2-x=2	$x^{3} + 2 x^{2} - x = 2$
30865	Simplify	5(13-8)-3*7+3	$5 (13 - 8) - 3 \cdot 7 + 3$
30866	Multiply	0 , 1^2	$0$ , $1^{2}$
30867	Subtract	(g^3-2g^2+5g+6)-(g^2+2g)	$(g^{3} - 2 g^{2} + 5 g + 6) - (g^{2} + 2 g)$
30868	Solve for x in Radians	cos(2x)+cos(x)=0	$\cos (2 x) + \cos (x) = 0$
30869	Graph	negative infinity	$- \infty$
30870	Solve for x	2(3x+4)=5x+3x-4	$2 (3 x + 4) = 5 x + 3 x - 4$
30871	Find the Asymptotes	f^-1(x)=(x-3)/(1-x)	$f^{- 1} (x) = \frac{x - 3}{1 - x}$
30872	Solve for x	2x-7+19=6x-4x+12	$2 x - 7 + 19 = 6 x - 4 x + 12$
30873	Factor	Factor x^2-2x-15	Factor $x^{2} - 2 x - 15$
30874	Simplify	2 square root of 3-x*4 cube root of 3-x	$2 \sqrt{3 - x} \cdot 4 \sqrt[3]{3 - x}$
30875	Multiply	fourth root of 27* fourth root of 3	$\sqrt[4]{27} \cdot \sqrt[4]{3}$
30876	Find the Degree	m+m^2	$m + m^{2}$
30877	Combine Like Terms	(3x^2+4x-1)+(-2x^2-3x+2)	$(3 x^{2} + 4 x - 1) + (- 2 x^{2} - 3 x + 2)$
30878	Write in Standard Form	f(x)=-5x-10+3x^4+4x^2	$f (x) = - 5 x - 10 + 3 x^{4} + 4 x^{2}$
30879	Find the Vertex	f(x)=-4/5x^2+48/5x-114/5	$f (x) = - \frac{4}{5} x^{2} + \frac{48}{5} x - \frac{114}{5}$
30880	Solve the System of Equations	2x-1=y 3x-1=y	$2 x - 1 = y$ $3 x - 1 = y$
30881	Simplify	(1/4x^3y^-2)^-2(-4x^-1y)^-3	${(\frac{1}{4} x^{3} y^{- 2})}^{- 2} {(- 4 x^{- 1} y)}^{- 3}$
30882	Convert to a Simplified Fraction	75% as a fraction	$75 %$ as a fraction
30883	Solve the Function Operation	If P(x)=x^2+x+5 ; find P(6)	If $P (x) = x^{2} + x + 5$ ; find $P (6)$
30884	Simplify	cos(x)^2+cot(x)^2+sin(x)^2	$\cos^{2} (x) + \cot^{2} (x) + \sin^{2} (x)$
30885	Expand the Logarithmic Expression	log of ( cube root of x)/( cube root of yz)	$\log (\frac{\sqrt[3]{x}}{\sqrt[3]{y z}})$
30886	Simplify	(h+9)(5h-4h^2-10)	$(h + 9) (5 h - 4 h^{2} - 10)$
30887	Solve the Inequality for x	1/2(3/5x-1/2)>x+3/8	$\frac{1}{2} (\frac{3}{5} x - \frac{1}{2}) > x + \frac{3}{8}$
30888	Simplify	(x^-4)^5(x^3y^2)^5	${(x^{- 4})}^{5} {(x^{3} y^{2})}^{5}$
30889	Evaluate the Integral	Evaluate integral of -6x with respect to x	Evaluate $\int - 6 x d x$
30890	Solve for w	(w-10)+40=0	$(w - 10) + 40 = 0$
30891	Evaluate the Limit	limit as x approaches -2 of (4)(x^2+4x-5)	$lim_{x \to - 2} (4) (x^{2} + 4 x - 5)$
30892	Evaluate	((2x)^-2)/((3x)^-2)	$\frac{{(2 x)}^{- 2}}{{(3 x)}^{- 2}}$
30893	Multiply	2^92^22^4	$2^{9} \cdot 2^{2} \cdot 2^{4}$
30894	Find the Roots (Zeros)	3x^6+2x^4-x^3+7	$3 x^{6} + 2 x^{4} - x^{3} + 7$
30895	Simplify	6*5-(4^2)÷2	$6 \cdot 5 - 4^{2} \div 2$
30896	Solve the Inequality for s	2s+3>15	$2 s + 3 > 15$
30897	Find the Product	(z-5/3)(z-2/3)	$(z - \frac{5}{3}) (z - \frac{2}{3})$
30898	Graph	y>2x-4 4y-x<=16	$y > 2 x - 4$ $4 y - x \leq 16$
30899	Evaluate	((16x^-4)^2)/((4x^-2)^3)	$\frac{{(16 x^{- 4})}^{2}}{{(4 x^{- 2})}^{3}}$
30900	Simplify	(28 cube root of -16m^6)/(4 cube root of 2m)	$\frac{28 \sqrt[3]{- 16 m^{6}}}{4 \sqrt[3]{2 m}}$