Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41101	Find f(g(x))	f(x)=x-2 g(x)=2x-7	$f (x) = x - 2$ $g (x) = 2 x - 7$
41102	Write in Exponential Form	fifth root of 7* fifth root of 7^6	$\sqrt[5]{7} \cdot \sqrt[5]{7^{6}}$
41103	Solve for c	M=(b+c)/2	$M = \frac{b + c}{2}$
41104	Find the Exact Value	log base 3 of 3^64	$\log_{3} (3^{64})$
41105	Simplify	(-k^2d)^3(-k^2d^3)	${(- k^{2} d)}^{3} (- k^{2} d^{3})$
41106	Find the LCD	(8d-3)/9 , (4d+12)/9	$\frac{8 d - 3}{9}$ , $\frac{4 d + 12}{9}$
41107	Factor	16^2-25	$16^{2} - 25$
41108	Find the Derivative - d/dx	natural log of (2x-1)/(x-1)	$\ln (\frac{2 x - 1}{x - 1})$
41109	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+18x^2-19x-18 is divided by 3x+2	Use the long division method to find the result when $9 x^{3} + 18 x^{2} - 19 x - 18$ is divided by $3 x + 2$
41110	Find Where Increasing/Decreasing	f(x)=-12 cube root of x	$f (x) = - 12 \sqrt[3]{x}$
41111	Simplify	(8x(3x+5)(x+7)^2)/(32x(x+7)(3x-5))	$\frac{8 x (3 x + 5) {(x + 7)}^{2}}{32 x (x + 7) (3 x - 5)}$
41112	Convert to Interval Notation	f+3<=-13/11	$f + 3 \leq - \frac{13}{11}$
41113	Simplify	(-x^3)(x)(x^5)	$(- x^{3}) (x) (x^{5})$
41114	Factor	20aw^2+8az-10bw^2-4bz+5cw^2+2cz	$20 a w^{2} + 8 a z - 10 b w^{2} - 4 b z + 5 c w^{2} + 2 c z$
41115	Find the Concavity	1/10x^5+2x^4+9x^3	$\frac{1}{10} x^{5} + 2 x^{4} + 9 x^{3}$
41116	Simplify	( square root of 20- square root of -3)+( square root of 5- square root of -12)	$(\sqrt{20} - \sqrt{- 3}) + (\sqrt{5} - \sqrt{- 12})$
41117	Solve the Inequality for x	log of 7x-11<=2	$\log (7 x - 11) \leq 2$
41118	Find the Maximum/Minimum Value	y=(e^x)/x	$y = \frac{e^{x}}{x}$
41119	Find the Derivative - d/dx	-( fifth root of x)/2	$- \frac{\sqrt[5]{x}}{2}$
41120	Solve for y	y=1/( square root of x)	$y = \frac{1}{\sqrt{x}}$
41121	Divide Using Long Polynomial Division	(2x^4+4x^3-x^2)/x	$\frac{2 x^{4} + 4 x^{3} - x^{2}}{x}$
41122	Solve for x	(2x+1)^2=8x+25	${(2 x + 1)}^{2} = 8 x + 25$
41123	Evaluate	(2+3/x)/(4-2/(3x))	$\frac{2 + \frac{3}{x}}{4 - \frac{2}{3 x}}$
41124	Simplify	-(6j^-9)/((-2j^4)^3)	$- \frac{6 j^{- 9}}{{(- 2 j^{4})}^{3}}$
41125	Find the Distance Between Two Points	Find the distance between (-12,1) and (12,-1)	Find the distance between $(- 12, 1)$ and $(12, - 1)$
41126	Graph	y=x y=-2x+3	$y = x$ $y = - 2 x + 3$
41127	Find dy/dx	y=4arccoth(4x-8)	$y = 4 arccoth (4 x - 8)$
41128	Find dy/dx	y=-cot(2x)	$y = - \cot (2 x)$
41129	Solve for x	x/(x+2)-2/(2-x)=(3x+2)/(x^2-4)	$\frac{x}{x + 2} - \frac{2}{2 - x} = \frac{3 x + 2}{x^{2} - 4}$
41130	Simplify	1/4a^5b^12*16/5a^3b^2	$\frac{1}{4} a^{5} b^{12} \times \frac{16}{5} a^{3} b^{2}$
41131	Solve for n	6n-4+5n+7=180	$6 n - 4 + 5 n + 7 = 180$
41132	Solve for c	3+11x=cx+2(4x-1)+5	$3 + 11 x = c x + 2 (4 x - 1) + 5$
41133	Solve the System of Inequalities	y>-x+2 y<1/2x-4	$y > - x + 2$ $y < \frac{1}{2} x - 4$
41134	Solve the System of Equations	y+2=3(x-1) y=-2x+10	$y + 2 = 3 (x - 1)$ $y = - 2 x + 10$
41135	Multiply	(x^2-64)/(x-8)*(x+5)/(x^2+13x+40)	$\frac{x^{2} - 64}{x - 8} \cdot \frac{x + 5}{x^{2} + 13 x + 40}$
41136	Solve for x	(2x-1)^(1/3)-3=0	${(2 x - 1)}^{\frac{1}{3}} - 3 = 0$
41137	Evaluate	18-2^4*-0.5	$18 - 2^{4} \cdot - 0.5$
41138	Evaluate the Limit	limit as x approaches 3 from the right of (\|x-3\|)/(3-x)	$lim_{x \to 3^{+}} \frac{\| x - 3 \|}{3 - x}$
41139	Simplify the Radical Expression	2 square root of 20+ cube root of 16- square root of 45+ cube root of 54	$2 \sqrt{20} + \sqrt[3]{16} - \sqrt{45} + \sqrt[3]{54}$
41140	Solve the Function Operation	g(a)=4a+1 h(a)=-3a+2 Find g(h(1))	$g (a) = 4 a + 1$ $h (a) = - 3 a + 2$ Find $g (h (1))$
41141	Multiply	3+3*3+3	$3 + 3 \cdot 3 + 3$
41142	Write in Standard Form	a(x-h)^2+k	$a {(x - h)}^{2} + k$
41143	Factor	48(cg)+36cf-4dg-3df	$48 cg + 36 c f - 4 d g - 3 d f$
41144	Find the Domain	(4y^2)/(9x^4)	$\frac{4 y^{2}}{9 x^{4}}$
41145	Graph	k<0 , b<0	$k < 0$ , $b < 0$
41146	Find the Slope	(-6,-7) and (-24,-7)	$(- 6, - 7)$ and $(- 24, - 7)$
41147	Simplify	2y square root of x^3y-5 square root of x^3y^3+8x square root of xy^3	$2 y \sqrt{x^{3} y} - 5 \sqrt{x^{3} y^{3}} + 8 x \sqrt{x y^{3}}$
41148	Solve the Function Operation	Given that f(x)=x^2-15x+54 and g(x)=x-6 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 15 x + 54$ and $g (x) = x - 6$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
41149	Find the x and y Intercepts	f(x)=-4(6x+1)^2	$f (x) = - 4 {(6 x + 1)}^{2}$
41150	Graph	x^2+y^2<=16 x^2-y<2	$x^{2} + y^{2} \leq 16$ $x^{2} - y < 2$
41151	Divide	((x-1)/(x^2+5x-6))÷((7x-56)/(x^2-2x-48))	$\frac{x - 1}{x^{2} + 5 x - 6} \div \frac{7 x - 56}{x^{2} - 2 x - 48}$
41152	Solve the Absolute Value Inequality for x	11=\|11+4x\|	$11 = \| 11 + 4 x \|$
41153	Find the Antiderivative	1/( square root of x)+ cube root of x	$\frac{1}{\sqrt{x}} + \sqrt[3]{x}$
41154	Add	x^3+2x-1 and x^4-x^3+3	$x^{3} + 2 x - 1$ and $x^{4} - x^{3} + 3$
41155	Find the Exact Value	2^-3*3^-2	$2^{- 3} \cdot 3^{- 2}$
41156	Solve for y	4(x-y)=2x+3	$4 (x - y) = 2 x + 3$
41157	Simplify the Radical Expression	- square root of 4+ square root of -75- square root of 9+ square root of -27	$- \sqrt{4} + \sqrt{- 75} - \sqrt{9} + \sqrt{- 27}$
41158	Expand Using Sum/Difference Formulas	(3+4x)(3-4x)	$(3 + 4 x) (3 - 4 x)$
41159	Solve for b	a=(a-b)/b+c	$a = \frac{a - b}{b} + c$
41160	Find dy/dx	a^3y=x^2(2a^2-x^2)	$a^{3} y = x^{2} (2 a^{2} - x^{2})$
41161	Solve the Function Operation	f(x)=2x+6 if x!=-1; 6 if x=-1 Find f(-1)	$f (x) = {\begin{cases} 2 x + 6 & x \neq - 1 \\ 6 & x = - 1 \end{cases}$ Find $f (- 1)$
41162	Simplify	(x-2y)/(2y-x)	$\frac{x - 2 y}{2 y - x}$
41163	Find the Antiderivative	f(x)=1/( square root of x+3)	$f (x) = \frac{1}{\sqrt{x + 3}}$
41164	Find the Asymptotes	h(x)=(2x^2-5x-3)/(x^3+x^2-9x-9)	$h (x) = \frac{2 x^{2} - 5 x - 3}{x^{3} + x^{2} - 9 x - 9}$
41165	Solve for r	C=pir	$C = π r$
41166	Add	(4x^2+9x-7)-(-7x^2+5x-1)	$(4 x^{2} + 9 x - 7) - (- 7 x^{2} + 5 x - 1)$
41167	Solve for x	square root of 25=x	$\sqrt{25} = x$
41168	Simplify	cube root of 3* sixth root of 4	$\sqrt[3]{3} \cdot \sqrt[6]{4}$
41169	Solve the Rational Equation for x	(2^(x/3))(2^(x/2))=2^5	$(2^{\frac{x}{3}}) (2^{\frac{x}{2}}) = 2^{5}$
41170	Evaluate	2sin((7pi)/6)	$2 \sin (\frac{7 π}{6})$
41171	Find the Derivative - d/dx	y=6pi^3-8pi^2+24	$y = 6 π^{3} - 8 π^{2} + 24$
41172	Find dy/dx	y=x^3(2x-5)^4	$y = x^{3} {(2 x - 5)}^{4}$
41173	Evaluate	((4*10^3)/(10^-2))^2	${(\frac{4 \cdot 10^{3}}{10^{- 2}})}^{2}$
41174	Solve for x	\|2x-4\|-\|x\|<=3	$\| 2 x - 4 \| - \| x \| \leq 3$
41175	Simplify	(1/x+5)(3x^2-9)	$(\frac{1}{x} + 5) (3 x^{2} - 9)$
41176	Find Where Increasing/Decreasing	f(x)=x^3-2x^2+x	$f (x) = x^{3} - 2 x^{2} + x$
41177	Simplify	((6x+3)/(2x-3))÷((3x^2-12x-15)/(2x^2-x-3))	$\frac{6 x + 3}{2 x - 3} \div \frac{3 x^{2} - 12 x - 15}{2 x^{2} - x - 3}$
41178	Find the Derivative - d/df	f^2(x)	$f^{2} (x)$
41179	Simplify	(37+12 square root of 5)/( square root of 5+8)	$\frac{37 + 12 \sqrt{5}}{\sqrt{5} + 8}$
41180	Simplify	(2k)/(3k+12)+(k+7)/(k^2+4k)	$\frac{2 k}{3 k + 12} + \frac{k + 7}{k^{2} + 4 k}$
41181	Solve for x	2(x-5+2)=6	$2 (x - 5 + 2) = 6$
41182	Solve for y	12y-(25-(6y-11))=18(y-2)	$12 y - (25 - (6 y - 11)) = 18 (y - 2)$
41183	Simplify	((32x^4y^4)/(4x^-2y))^(2/3)	${(\frac{32 x^{4} y^{4}}{4 x^{- 2} y})}^{\frac{2}{3}}$
41184	Evaluate	((3x^5y^5)^3)/(3x^3y^11)+4x^12y^4	$\frac{{(3 x^{5} y^{5})}^{3}}{3 x^{3} y^{11}} + 4 x^{12} y^{4}$
41185	Solve for x	Solve square root of x+84 = square root of x+6	Solve $\sqrt{x + 84} = \sqrt{x} + 6$
41186	Graph	g(x)=2\|7-x\|	$g (x) = 2 \| 7 - x \|$
41187	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^4-5x^3+3x^2+7x-1	$f (x) = 2 x^{4} - 5 x^{3} + 3 x^{2} + 7 x - 1$
41188	Evaluate	2.1+(-3.7h)+1.9h-1.4	$2.1 + (- 3.7 h) + 1.9 h - 1.4$
41189	Graph	y=(-10+5s)(-9+9s)	$y = (- 10 + 5 s) (- 9 + 9 s)$
41190	Evaluate	-cos(0)+sin(0)	$- \cos (0) + \sin (0)$
41191	Evaluate the Limit	limit as x approaches infinity of 2+5x+x^2	$lim_{x \to \infty} 2 + 5 x + x^{2}$
41192	Graph Using a Table of Values	y=1/2 cube root of x	$y = \frac{1}{2} \sqrt[3]{x}$
41193	Evaluate	log base 12 of 18+3* log base 12 of 2	$\log_{12} (18) + 3 \cdot \log_{12} (2)$
41194	Solve for p	-15=6p+15-10p	$- 15 = 6 p + 15 - 10 p$
41195	Find the Equation Using Point-Slope Formula	(-9,9) and (8,-2)	$(- 9, 9)$ and $(8, - 2)$
41196	Evaluate	(cos(0.001)-1)/0.001	$\frac{\cos (0.001) - 1}{0.001}$
41197	Evaluate	5(1-2(2z-1))=-3(3z-1)+1	$5 (1 - 2 (2 z - 1)) = - 3 (3 z - 1) + 1$
41198	Solve for t	t/-3.2<5	$\frac{t}{- 3.2} < 5$
41199	Find the Asymptotes	f(x)=(-2x^4+x^3-2x+1)/(x^3+3x^2)	$f (x) = \frac{- 2 x^{4} + x^{3} - 2 x + 1}{x^{3} + 3 x^{2}}$
41200	Solve the System of Inequalities	(9-8w)/5<3 or 2/3(18w-3)<-62	$\frac{9 - 8 w}{5} < 3$ or $\frac{2}{3} (18 w - 3) < - 62$