Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
30601	Solve by Addition/Elimination	4x-y=-4 5x=2y+1	$4 x - y = - 4$ $5 x = 2 y + 1$
30602	Simplify	-2x^0+(2x^3)^0	$- 2 x^{0} + {(2 x^{3})}^{0}$
30603	Integrate Using u-Substitution	integral of 1/( square root of 1-4x^2) with respect to x	$\int \frac{1}{\sqrt{1 - 4 x^{2}}} d x$
30604	Find the Derivative - d/dx	y=-3/x	$y = \frac{- 3}{x}$
30605	Simplify	(x^2-11x+30)/(x^2-4)*(x-2)/(x^2+3x-40)	$\frac{x^{2} - 11 x + 30}{x^{2} - 4} \cdot \frac{x - 2}{x^{2} + 3 x - 40}$
30606	Graph	f(x)=(3x^2+x)/x	$f (x) = \frac{3 x^{2} + x}{x}$
30607	Evaluate the Limit	limit as x approaches 0 of (2sin(x))/(tan(x))	$lim_{x \to 0} \frac{2 \sin (x)}{\tan (x)}$
30608	Simplify	(a-2y)/(a+y)-(y^2-5ay)/(a^2-y^2)	$\frac{(a - 2 y)}{a + y} - \frac{(y^{2} - 5 a y)}{a^{2} - y^{2}}$
30609	Simplify	((x^(-4k))/(y^5))^0	${(\frac{x^{- 4 k}}{y^{5}})}^{0}$
30610	Simplify	(-7 square root of 2+4 square root of 3)/(3 square root of 2-5 square root of 3)	$\frac{- 7 \sqrt{2} + 4 \sqrt{3}}{3 \sqrt{2} - 5 \sqrt{3}}$
30611	Solve the Function Operation	f(x)=-(x-7)^2 if x!=5; -3 if x=5 Find f(5)	$f (x) = {\begin{cases} - {(x - 7)}^{2} & x \neq 5 \\ - 3 & x = 5 \end{cases}$ Find $f (5)$
30612	Evaluate	-7/(-7^2+1)	$\frac{- 7}{- 7^{2} + 1}$
30613	Solve for j	fourth root of j=5	$\sqrt[4]{j} = 5$
30614	Simplify the Radical Expression	square root of 20+2 square root of 80+ square root of 72- square root of 5	$\sqrt{20} + 2 \sqrt{80} + \sqrt{72} - \sqrt{5}$
30615	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+18x^2+11x+2 is divided by 2x+1	Use the long division method to find the result when $8 x^{3} + 18 x^{2} + 11 x + 2$ is divided by $2 x + 1$
30616	Simplify	((a-1)/a)/((a^2-1)/(a^2))	$\frac{\frac{a - 1}{a}}{\frac{a^{2} - 1}{a^{2}}}$
30617	Find the Roots (Zeros)	e^x	$e^{x}$
30618	Find the Third Derivative	y=-1/24x^-4-3/20x-x^3+5/18	$y = - \frac{1}{24} x^{- 4} - \frac{3}{20} x - x^{3} + \frac{5}{18}$
30619	Solve using Gaussian Elimination	x_1-3x_2+4x_3=7 2x_1+5x_2-x_3=1 3x_1-4x_2+5x_3=18	$x_{1} - 3 x_{2} + 4 x_{3} = 7$ $2 x_{1} + 5 x_{2} - x_{3} = 1$ $3 x_{1} - 4 x_{2} + 5 x_{3} = 18$
30620	Solve the Inequality for x	-5<5+2x<11	$- 5 < 5 + 2 x < 11$
30621	Evaluate	4x(5x+7)=4(5x^2+8x+4)	$4 x (5 x + 7) = 4 (5 x^{2} + 8 x + 4)$
30622	Simplify	(e^2f)^5	${(e^{2} f)}^{5}$
30623	Solve the Function Operation	Given that f(x)=x^2-3x-18 and g(x)=x-6 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 3 x - 18$ and $g (x) = x - 6$ ; find $f (x) + g (x)$ and express the result in standard form.
30624	Solve the Inequality for x	x^(4/3)<=27	$x^{\frac{4}{3}} \leq 27$
30625	Solve for v	0=v+19	$0 = v + 19$
30626	Find the Slope	(-8,1) and (-4,-9)	$(- 8, 1)$ and $(- 4, - 9)$
30627	Find the Domain	(cos(x))/(1-sin(x))	$\frac{\cos (x)}{1 - \sin (x)}$
30628	Evaluate the Integral	integral from 0 to 1 of (x+2)(3x^2+12x+1)^(1/2) with respect to x	$\int_{0}^{1} (x + 2) {(3 x^{2} + 12 x + 1)}^{\frac{1}{2}} d x$
30629	Simplify	(d-4)/(d^2+2d-8)-(d+2)/(d^2-16)	$\frac{d - 4}{d^{2} + 2 d - 8} - \frac{d + 2}{d^{2} - 16}$
30630	Solve for x	cube root of x^2+2x=-1	$\sqrt[3]{x^{2} + 2 x} = - 1$
30631	Solve for x	12+ square root of 2x-1=4	$12 + \sqrt{2 x - 1} = 4$
30632	Solve the System of Equations	1/3x+1/2y=6 1/4x+1/2y=3	$\frac{1}{3} x + \frac{1}{2} y = 6$ $\frac{1}{4} x + \frac{1}{2} y = 3$
30633	Find the Antiderivative	1/x-2x	$\frac{1}{x} - 2 x$
30634	Expand Using Sum/Difference Formulas	2x(3x+4)	$2 x (3 x + 4)$
30635	Write in Standard Form	5xy(2x-y)+6y^2(x^2+6)	$5 x y (2 x - y) + 6 y^{2} (x^{2} + 6)$
30636	Write as a Single Logarithm	log base 3 of 4+ log base 3 of y+1/2* log base 3 of 49	$\log_{3} (4) + \log_{3} (y) + \frac{1}{2} \cdot \log_{3} (49)$
30637	Evaluate Using the Given Value	Given c=10 ; the value of the expression 14+(2c)/c is	Given $c = 10$ ; the value of the expression $14 + \frac{2 c}{c}$ is
30638	Find the Derivative - d/dx	1+2x^2	$1 + 2 x^{2}$
30639	Convert to Degrees, Minutes, and Seconds	2.32rad	$2.32$ rad
30640	Expand the Logarithmic Expression	log base 4 of (12*7^2)^4	$\log_{4} ({(12 \cdot 7^{2})}^{4})$
30641	Solve for p	e^(5-2p)+2=4	$e^{5 - 2 p} + 2 = 4$
30642	Find the Degree, Leading Term, and Leading Coefficient	y=-7x^3+3x^2+12x-1	$y = - 7 x^{3} + 3 x^{2} + 12 x - 1$
30643	Add	3 square root of 8+ square root of 50- square root of 18	$3 \sqrt{8} + \sqrt{50} - \sqrt{18}$
30644	Divide Using Synthetic Division	-3x^3+11x^2-x+20 by (x-4)	$- 3 x^{3} + 11 x^{2} - x + 20$ by $(x - 4)$
30645	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+10x^2+11x+14 is divided by x+2	Use the long division method to find the result when $4 x^{3} + 10 x^{2} + 11 x + 14$ is divided by $x + 2$
30646	Write the Fraction in Simplest Form	((2u^-5)^-1)/(6b^3)	$\frac{{(2 u^{- 5})}^{- 1}}{6 b^{3}}$
30647	Find dy/dx	x^3-y^3=y	$x^{3} - y^{3} = y$
30648	Simplify	1/(x-3)-1/(x+3)-1/(x-1)+1/(x+1)	$\frac{1}{x - 3} - \frac{1}{x + 3} - \frac{1}{x - 1} + \frac{1}{x + 1}$
30649	Find the Degree	arctan(( square root of 3)/3)	$\arctan (\frac{\sqrt{3}}{3})$
30650	Factor by Grouping	64x^4+xy^3	$64 x^{4} + x y^{3}$
30651	Write in Standard Form	1/7-3(3/7n-2/7)	$\frac{1}{7} - 3 (\frac{3}{7} n - \frac{2}{7})$
30652	Simplify	( sixth root of y)/( cube root of y)	$\frac{\sqrt[6]{y}}{\sqrt[3]{y}}$
30653	Simplify	10^0+10	$10^{0} + 10$
30654	Simplify	Simplify - square root of -121a^4b^2	Simplify $- \sqrt{- 121 a^{4} b^{2}}$
30655	Find the Critical Points	Let f(x)=(x+1)/(x-3)	Let $f (x) = \frac{x + 1}{x - 3}$
30656	Simplify	-2/(pi/2)	$\frac{- 2}{\frac{π}{2}}$
30657	Find the Asymptotes	(3(x-1)(x+1))/(2(x-1))	$\frac{3 (x - 1) (x + 1)}{2 (x - 1)}$
30658	Solve the Function Operation	f(x)=7x^(1/5)+6 ; find f^-1(x)	$f (x) = 7 x^{\frac{1}{5}} + 6$ ; find $f^{- 1} (x)$
30659	Find f(g(x))	f(x)=x+2 g(x)=x^2	$f (x) = x + 2$ $g (x) = x^{2}$
30660	Simplify the Radical Expression	(5 square root of 63)÷6 square root of 7	$5 \sqrt{63} \div 6 \sqrt{7}$
30661	Solve for x	x^(x^(x^x))=2	$x^{x^{x^{x}}} = 2$
30662	Find the Slope	(-5,-8) and (5,2)	$(- 5, - 8)$ and $(5, 2)$
30663	Evaluate	16i^3	$16 i^{3}$
30664	Simplify	15v+8w-9v-6v-2w	$15 v + 8 w - 9 v - 6 v - 2 w$
30665	Evaluate	square root of x-3+ square root of x=3	$\sqrt{x - 3} + \sqrt{x} = 3$
30666	Simplify	square root of x^8y^-6	$\sqrt{x^{8} y^{- 6}}$
30667	Simplify	(3a^-3)(a^4)(2a^2)	$(3 a^{- 3}) (a^{4}) (2 a^{2})$
30668	Solve the Inequality for x	1<(3x)/4	$1 < \frac{3 x}{4}$
30669	Find the Antiderivative	1/(2 square root of x+1)	$\frac{1}{2 \sqrt{x + 1}}$
30670	Find the Domain and Range	y=-1/2(4)^x	$y = - \frac{1}{2} {(4)}^{x}$
30671	Simplify	6/(a^0)+b^0	$\frac{6}{a^{0}} + b^{0}$
30672	Combine Like Terms	x-5-6x+7	$x - 5 - 6 x + 7$
30673	Evaluate the Limit	limit as x approaches negative infinity of (x^2+6x+9)/(x^2+6x+9)	$lim_{x \to - \infty} \frac{x^{2} + 6 x + 9}{x^{2} + 6 x + 9}$
30674	Find the Derivative - d/dt	y = natural log of (t+1)^2	$y = \ln ({(t + 1)}^{2})$
30675	Evaluate	e^-1+1	$e^{- 1} + 1$
30676	Solve the Inequality for x	2x=10	$2 x = 10$
30677	Simplify	Simplify ((x^2+3x+2)/(x^2-1))÷((x^2+6x)/(x^2-x))	Simplify $\frac{x^{2} + 3 x + 2}{x^{2} - 1} \div \frac{x^{2} + 6 x}{x^{2} - x}$
30678	Simplify	3*2^-2	$3 \cdot 2^{- 2}$
30679	Solve the System of Inequalities	Which inequality represents the compound inequality -1>x or x>5 ?	Which inequality represents the compound inequality $- 1 > x$ or $x > 5$ ?
30680	Find dy/dx	-xy+4-3x^2=y^3	$- x y + 4 - 3 x^{2} = y^{3}$
30681	Solve for x	y=1/2(e^(2x)-e^(-2x))	$y = \frac{1}{2} (e^{2 x} - e^{- 2 x})$
30682	Multiply	2pi4	$2 \cdot π \cdot 4$
30683	Simplify	6+x-1-x	$6 + x - 1 - x$
30684	Simplify	((5x+2)/(3xy^2))÷((10x+4)/(x^2y))	$\frac{5 x + 2}{3 x y^{2}} \div \frac{10 x + 4}{x^{2} y}$
30685	Multiply	2/35/61/2	$\frac{2}{3} \cdot \frac{5}{6} \cdot \frac{1}{2}$
30686	Find the Antiderivative	2^x+x	$2^{x} + x$
30687	Solve by Substitution	2x-y=0 4x-y=0	$2 x - y = 0$ $4 x - y = 0$
30688	Solve by Substitution	x=-2 x+3y=4	$x = - 2$ $x + 3 y = 4$
30689	Find the Slope	What is the slope of the line through (-4,2) and (3,-3) ?	What is the slope of the line through $(- 4, 2)$ and $(3, - 3)$ ?
30690	Write in Exponential Form	square root of 5^3* fifth root of 5^4	$\sqrt{5^{3}} \cdot \sqrt[5]{5^{4}}$
30691	Evaluate the Limit	limit as x approaches 2pi from the right of xcsc(x)	$lim_{x \to {(2 π)}^{+}} x \csc (x)$
30692	Find the Exact Value	25^(-1/3)	$25^{- \frac{1}{3}}$
30693	Add	(2x^3+7x^2+x)+(2x^2-4x-12)	$(2 x^{3} + 7 x^{2} + x) + (2 x^{2} - 4 x - 12)$
30694	Solve by Factoring	-3x^2-42x-51=-12x	$- 3 x^{2} - 42 x - 51 = - 12 x$
30695	Multiply	5 square root of 3a^3*4 square root of 25a^4	$5 \sqrt{3 a^{3}} \cdot 4 \sqrt{25 a^{4}}$
30696	Find the GCF	Find the GCF of 8r and 14	Find the GCF of $8 r$ and $14$
30697	Simplify	(2 square root of 2)÷4 square root of 3	$2 \sqrt{2} \div 4 \sqrt{3}$
30698	Find the Product	(x^2-x-6)/(4x^3)*(2x^2+2x)/(x^2+5x+6)	$\frac{x^{2} - x - 6}{4 x^{3}} \cdot \frac{2 x^{2} + 2 x}{x^{2} + 5 x + 6}$
30699	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+14x^2+17x+15 is divided by 4x+5	Use the long division method to find the result when $8 x^{3} + 14 x^{2} + 17 x + 15$ is divided by $4 x + 5$
30700	Find the Domain and Range	a(x)=(2x^2-9)/(x^2-9)	$a (x) = \frac{2 x^{2} - 9}{x^{2} - 9}$