Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
38901	Simplify	(3 square root of 7)/(-1- square root of 27)	$\frac{3 \sqrt{7}}{- 1 - \sqrt{27}}$
38902	Solve the Inequality for x	1/4(x-9)<x+12	$\frac{1}{4} (x - 9) < x + 12$
38903	Solve for x	(cos(45))=1/x	$(\cos (45)) = \frac{1}{x}$
38904	Write with Rational (Fractional) Exponents	m root of n root of a	$\sqrt[m]{\sqrt[n]{a}}$
38905	Solve for u	-38=7u+17-12u	$- 38 = 7 u + 17 - 12 u$
38906	Evaluate	square root of x=x-6	$\sqrt{x} = x - 6$
38907	Solve for u	56=7u^2	$56 = 7 u^{2}$
38908	Simplify	(27y^2+27y-30)/(9y-6)	$\frac{27 y^{2} + 27 y - 30}{9 y - 6}$
38909	Solve by Graphing	y-2x=0 y+x=3	$y - 2 x = 0$ $y + x = 3$
38910	Solve for y	2y-4=y	$2 y - 4 = y$
38911	Graph	y>-4/3x-1y	$y > - \frac{4}{3} x - 1 y$
38912	Solve for k	3(k-9)>3k+6	$3 (k - 9) > 3 k + 6$
38913	Graph	y>=1/3x-2 and y<=2x-3	$y \geq \frac{1}{3} x - 2$ and $y \leq 2 x - 3$
38914	Add	(8b+7)+(6x-4)+(5c+8)	$(8 b + 7) + (6 x - 4) + (5 c + 8)$
38915	Evaluate the Limit	limit as x approaches 0 of (3sin(3x))/(4sin(4x))	$lim_{x \to 0} \frac{3 \sin (3 x)}{4 \sin (4 x)}$
38916	Evaluate	fourth root of 10* fourth root of 10	$\sqrt[4]{10} \cdot \sqrt[4]{10}$
38917	Solve Using the Quadratic Formula	2(n-2)(n+1)-(n+3)=0	$2 (n - 2) (n + 1) - (n + 3) = 0$
38918	Convert from Radians to Degrees	-6pirad	$- 6 π$ radians
38919	Solve for x	4/5+x=3/7	$\frac{4}{5} + x = \frac{3}{7}$
38920	Evaluate	(3/7*0.1)÷(5/21)	$\frac{3}{7} \cdot 0.1 \div \frac{5}{21}$
38921	Evaluate the Integral	integral of (4 cube root of x)/3 with respect to x	$\int \frac{4 \sqrt[3]{x}}{3} d x$
38922	Find the Exact Value	cot(pi/2)+sin(pi/2)	$\cot (\frac{π}{2}) + \sin (\frac{π}{2})$
38923	Add	-2 square root of 27+ square root of 12	$- 2 \sqrt{27} + \sqrt{12}$
38924	Evaluate	-2 3/5-(-1 2/5)-4/5	$- 2 \frac{3}{5} - (- 1 \frac{2}{5}) - \frac{4}{5}$
38925	Solve for x	square root of 72+x=x	$\sqrt{72 + x} = x$
38926	Integrate Using u-Substitution	integral of 1/( square root of x) with respect to x	$\int \frac{1}{\sqrt{x}} d x$
38927	Write in Standard Form	4x-y^2=2y+13	$4 x - y^{2} = 2 y + 13$
38928	Solve for b	3.2=4/5(b-5)	$3.2 = \frac{4}{5} (b - 5)$
38929	Solve the System of Equations	x+y-2z=7 7x+9y-2z=-9 10x+7y+2z=-3	$x + y - 2 z = 7$ $7 x + 9 y - 2 z = - 9$ $10 x + 7 y + 2 z = - 3$
38930	Solve the Rational Equation for y	square root of y^6=-y^3	$\sqrt{y^{6}} = - y^{3}$
38931	Solve for x	square root of 3x+ square root of 12=(x+3)/( square root of 3)	$\sqrt{3} x + \sqrt{12} = \frac{x + 3}{\sqrt{3}}$
38932	Arrange in Order	{5.6,5.4,5.7,5 3/4}	${5.6, 5.4, 5.7, 5 \frac{3}{4}}$
38933	Solve the System of Equations	3x-y=17 and x+4y=23	$3 x - y = 17$ and $x + 4 y = 23$
38934	Simplify the Radical Expression	-2 square root of 15(-3 square root of 3+3 square root of 5)	$- 2 \sqrt{15} (- 3 \sqrt{3} + 3 \sqrt{5})$
38935	Evaluate the Limit	limit as x approaches infinity of (3x^2+4x+3)/(x^3+x+14)	$lim_{x \to \infty} \frac{3 x^{2} + 4 x + 3}{x^{3} + x + 14}$
38936	Solve the Function Operation	h(n)=4n+5 g(n)=3n+4 Find (h-g)(n)	$h (n) = 4 n + 5$ $g (n) = 3 n + 4$ Find $(h - g) (n)$
38937	Graph	f(x)=(5x^2-45x+100)/(-4x^2+20x)	$f (x) = \frac{5 x^{2} - 45 x + 100}{- 4 x^{2} + 20 x}$
38938	Find the Product	(x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)	$\frac{x^{2} (x - 4)}{x - 3} \cdot \frac{(x - 3) (x + 6)}{x^{3}}$
38939	Find dy/dx	4y^2+2=3x^2	$4 y^{2} + 2 = 3 x^{2}$
38940	Find the Derivative - d/dx	y=2/5 square root of x	$y = \frac{2}{5} \sqrt{x}$
38941	Solve the System of Inequalities	y<-2x-2 y>=1/2x+3	$y < - 2 x - 2$ $y \geq \frac{1}{2} x + 3$
38942	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3-2x^2-7x-2 is divided by x+1	Use the long division method to find the result when $3 x^{3} - 2 x^{2} - 7 x - 2$ is divided by $x + 1$
38943	Solve for x	6+1/(x+4)=5	$6 + \frac{1}{x + 4} = 5$
38944	Subtract	(-2x+23x^5+11)-(5-9x^3+x)	$(- 2 x + 23 x^{5} + 11) - (5 - 9 x^{3} + x)$
38945	Simplify	-9x(5x+4)+10(x+3)	$- 9 x (5 x + 4) + 10 (x + 3)$
38946	Graph	y=(x-1)(2x+7)^2	$y = (x - 1) {(2 x + 7)}^{2}$
38947	Simplify	(m^2-16n^2)÷((3m+12n)/(mn))	$(m^{2} - 16 n^{2}) \div \frac{3 m + 12 n}{m n}$
38948	Solve for y	t=(2-3y)/(y+2)	$t = \frac{2 - 3 y}{y + 2}$
38949	Find the Critical Points	p(x)=-1/2 square root of x-3+1	$p (x) = - \frac{1}{2} \sqrt{x - 3} + 1$
38950	Find the Product	(2a+5b)(a-4b)	$(2 a + 5 b) (a - 4 b)$
38951	Write as a Single Logarithm	natural log of x^2+6x+8- natural log of x+2	$\ln (x^{2} + 6 x + 8) - \ln (x + 2)$
38952	Evaluate the Integral	integral from 0 to pi/4 of xsec(x)^2 with respect to x	$\int_{0}^{\frac{π}{4}} x \sec^{2} (x) d x$
38953	Solve the System of Equations	x+y+z=2 5x+5y+5z=3 4x+y-3z=-6	$x + y + z = 2$ $5 x + 5 y + 5 z = 3$ $4 x + y - 3 z = - 6$
38954	Find dx/dy	4x^2y^7-2x=x^5+4y^3	$4 x^{2} y^{7} - 2 x = x^{5} + 4 y^{3}$
38955	Simplify	2(3-x)-12+4x	$2 (3 - x) - 12 + 4 x$
38956	Add	2 1/2+1 1/2+1	$2 \frac{1}{2} + 1 \frac{1}{2} + 1$
38957	Find the x and y Intercepts	f(x)=x^2(x+1)(x^2-5)(x-9)(3x+5)(x+1)	$f (x) = x^{2} (x + 1) (x^{2} - 5) (x - 9) (3 x + 5) (x + 1)$
38958	Solve for p	square root of -10-2p = square root of 3p+40	$\sqrt{- 10 - 2 p} = \sqrt{3 p + 40}$
38959	Solve for x	2(x+1)+8(x-1)=5x	$2 (x + 1) + 8 (x - 1) = 5 x$
38960	Solve the Inequality for a	-2(4a+4)+5a>-35	$- 2 (4 a + 4) + 5 a > - 35$
38961	Find the Integral	9/((x+2)^2)dx	$\frac{9}{{(x + 2)}^{2}} d x$
38962	Evaluate Using L'Hospital's Rule	limit as x approaches -1 of (4tan(-2-2x))/(e^(x+1)+x)	$lim_{x \to - 1} \frac{4 \tan (- 2 - 2 x)}{e^{x + 1} + x}$
38963	Solve the Inequality for x	-18 square root of 2x-1>-36	$- 18 \sqrt{2 x - 1} > - 36$
38964	Find the Antiderivative	f(x)=4e^x+x	$f (x) = 4 e^{x} + x$
38965	Solve the System of Equations	y=2+1/4x 3x-5y=-3	$y = 2 + \frac{1}{4} x$ $3 x - 5 y = - 3$
38966	Find All Complex Solutions	x^4-5x^2+6=0	$x^{4} - 5 x^{2} + 6 = 0$
38967	Evaluate	2/3(1)^(3/2)-4(1)^(1/2)	$\frac{2}{3} {(1)}^{\frac{3}{2}} - 4 {(1)}^{\frac{1}{2}}$
38968	Write with Rational (Fractional) Exponents	( cube root of 5^2)/( fifth root of 5)	$\frac{\sqrt[3]{5^{2}}}{\sqrt[5]{5}}$
38969	Evaluate the Integral	integral of (4/x+sec(x)^2) with respect to x	$\int (\frac{4}{x} + \sec^{2} (x)) d x$
38970	Evaluate	((z^2)/(5^4))^4	${(\frac{z^{2}}{5^{4}})}^{4}$
38971	Solve the Function Operation	Given that f(x)=x^2-6x+8 and g(x)=x-2 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 6 x + 8$ and $g (x) = x - 2$ ; find $f (x) - g (x)$ and express the result in standard form.
38972	Solve the Inequality for v	-7v+5>=-79	$- 7 v + 5 \geq - 79$
38973	Divide	(125xy^7)/(125x^6y^7)	$\frac{125 x y^{7}}{125 x^{6} y^{7}}$
38974	Graph	f(x)=(g(x))/(2x^2-32)	$f (x) = \frac{g (x)}{2 x^{2} - 32}$
38975	Graph	f(x)=(cos(2x)-cos(x))/(x^2)	$f (x) = \frac{\cos (2 x) - \cos (x)}{x^{2}}$
38976	Solve the Rational Equation for x	(16-x)/(x+10)=(15-x)/(x+9)	$\frac{16 - x}{x + 10} = \frac{15 - x}{x + 9}$
38977	Factor	3(2x-y)^2+2y(2x-y)-5y^2	$3 {(2 x - y)}^{2} + 2 y (2 x - y) - 5 y^{2}$
38978	Solve for x	(2x^2)/(x^2+5x)+1/x=5/(x^2+5x)	$\frac{2 x^{2}}{x^{2} + 5 x} + \frac{1}{x} = \frac{5}{x^{2} + 5 x}$
38979	Evaluate	square root of (4-0)^2+(0-0)^2	$\sqrt{{(4 - 0)}^{2} + {(0 - 0)}^{2}}$
38980	Find g(f(x))	f(x)=8x-1 g(x)=2x	$f (x) = 8 x - 1$ $g (x) = 2 x$
38981	Find the Holes in the Graph	(x^2+x-12)/(3x^2-9x)	$\frac{x^{2} + x - 12}{3 x^{2} - 9 x}$
38982	Find the Length of b	tri{}{30}{4}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 4 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
38983	Simplify	-2/(x^2-10x+24)(x^2-16)/(2-x)(18-3x)/(x^2+4x)	$\frac{- 2}{x^{2} - 10 x + 24} \cdot \frac{x^{2} - 16}{2 - x} \cdot \frac{18 - 3 x}{x^{2} + 4 x}$
38984	Find the Domain and Range	f(x)=((x+2)^2)/2-1	$f (x) = \frac{{(x + 2)}^{2}}{2} - 1$
38985	Solve for θ	sin(theta)^2=cos(theta)^2+1	$\sin^{2} (θ) = \cos^{2} (θ) + 1$
38986	Graph	negative infinity<=y<=infinity	$- \infty \leq y \leq \infty$
38987	Solve the Inequality for x	log base 1/5 of 5x-1>=0	$\log_{\frac{1}{5}} (5 x - 1) \geq 0$
38988	Evaluate	-3a(5b-c)	$- 3 a (5 b - c)$
38989	Simplify	( fourth root of 16x^2y^4)/(2xy^5)	$\frac{\sqrt[4]{16 x^{2} y^{4}}}{2 x y^{5}}$
38990	Simplify	(-3x^5y^(1/3))^3	${(- 3 x^{5} y^{\frac{1}{3}})}^{3}$
38991	Simplify	((6x^2y)/z)÷((3xy^2)/z)	$\frac{6 x^{2} y}{z} \div \frac{3 x y^{2}}{z}$
38992	Find the Slope	(2,5) and (3,7)	$(2, 5)$ and $(3, 7)$
38993	Solve for x in Radians	2sin(x)^2=1	$2 \sin^{2} (x) = 1$
38994	Factor	4k^2+7jk-2j^2	$4 k^{2} + 7 j k - 2 j^{2}$
38995	Graph	y=-2/3(x+2)-5	$y = - \frac{2}{3} (x + 2) - 5$
38996	Simplify	(3-x^2)+(x^2-4)	$(3 - x^{2}) + (x^{2} - 4)$
38997	Evaluate	square root of -5-b = square root of 5b+25	$\sqrt{- 5 - b} = \sqrt{5 b + 25}$
38998	Evaluate	2^3(3*5^2+2^5)	$2^{3} (3 \times 5^{2} + 2^{5})$
38999	Simplify	(x^(1/2)*x^2y^(4/3))^(3/2)	${(x^{\frac{1}{2}} \cdot x^{2} y^{\frac{4}{3}})}^{\frac{3}{2}}$
39000	Find the Constant of Variation	y=6 when x=3	$y = 6$ when $x = 3$