Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
44201	Simplify	(x^2+4x-45)/(-x-4)(x+5)/(x^2+14x+45)-9/(x^2-5x)	$\frac{x^{2} + 4 x - 45}{- x - 4} \cdot \frac{x + 5}{x^{2} + 14 x + 45} \cdot \frac{- 9}{x^{2} - 5 x}$
44202	Simplify	1/((10x)^-3)	$\frac{1}{{(10 x)}^{- 3}}$
44203	Simplify	7y^2-4x+7x+2-2x-3-7y^2	$7 y^{2} - 4 x + 7 x + 2 - 2 x - 3 - 7 y^{2}$
44204	Solve the Rational Equation for x	x-6 = square root of x	$x - 6 = \sqrt{x}$
44205	Solve for x	-3/2-(1/5x-1)=1/2	$- \frac{3}{2} - (\frac{1}{5} x - 1) = \frac{1}{2}$
44206	Solve for θ in Degrees	2csc(theta)-3=0	$2 \csc (θ) - 3 = 0$
44207	Solve the Inequality for d	2d-5<-3	$2 d - 5 < - 3$
44208	Solve for x	8x^-3=64	$8 x^{- 3} = 64$
44209	Find the Coterminal Angle	-1323	$- 1323$
44210	Evaluate the Integral	integral of (-4x)/((1-2x^2)^2) with respect to x	$\int \frac{- 4 x}{{(1 - 2 x^{2})}^{2}} d x$
44211	Write the Fraction in Simplest Form	(4(v^-1s^-1)^-1)/(2v^10s^-1)	$\frac{4 {(v^{- 1} s^{- 1})}^{- 1}}{2 v^{10} s^{- 1}}$
44212	Solve Using the Quadratic Formula	x*2+5x-24=0	$x \cdot 2 + 5 x - 24 = 0$
44213	Solve the System of Equations	y=-2x^2+3x+82 16=3x-y	$y = - 2 x^{2} + 3 x + 82$ $16 = 3 x - y$
44214	Determine if Linear	y+x=4x+5	$y + x = 4 x + 5$
44215	Simplify	(x^3y^4)^3*(xy^3)^-2	${(x^{3} y^{4})}^{3} \cdot {(x y^{3})}^{- 2}$
44216	Convert from Radians to Degrees	arccos(2.9/3.2)	$\arccos (\frac{2.9}{3.2})$
44217	Solve for y	(6+y)h=C	$(6 + y) h = C$
44218	Evaluate	(x^-6)/(x^3y^8y^2)	$\frac{x^{- 6}}{x^{3} y^{8} y^{2}}$
44219	Find Where Increasing/Decreasing	y=1/2*4^x	$y = \frac{1}{2} \cdot 4^{x}$
44220	Simplify	(x+2)/(x^2+4x+3)-(x+1)/(x+3)	$\frac{x + 2}{x^{2} + 4 x + 3} - \frac{x + 1}{x + 3}$
44221	Evaluate	square root of x^2 = square root of 36	$\sqrt{x^{2}} = \sqrt{36}$
44222	Combine Like Terms	64 square root of 3-4 square root of 48-5 square root of 48	$64 \sqrt{3} - 4 \sqrt{48} - 5 \sqrt{48}$
44223	Write in Standard Form	(3/4+7/5i)-(5/6-1/6i)	$(\frac{3}{4} + \frac{7}{5} i) - (\frac{5}{6} - \frac{1}{6} i)$
44224	Find the Exact Value	( square root of 2)/4-( square root of 6)/4	$\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}$
44225	Add	2 3/4+1 1/2+2/3	$2 \frac{3}{4} + 1 \frac{1}{2} + \frac{2}{3}$
44226	Divide Using Long Polynomial Division	(5x^4+9)/x	$\frac{5 x^{4} + 9}{x}$
44227	Simplify	(27y2/5)^(1/3)	${(27 y \frac{2}{5})}^{\frac{1}{3}}$
44228	Solve for c	c=2pi*9	$c = 2 π \cdot 9$
44229	Solve for θ	theta=(-5pi)/6	$θ = \frac{- 5 π}{6}$
44230	Evaluate the Integral	The definite integral integral from 0 to 1 of (e^(-x)+e^x)/(e^x) with respect to x is equal to:	The definite integral $\int_{0}^{1} \frac{e^{- x} + e^{x}}{e^{x}} d x$ is equal to:
44231	Graph	x+3y=9 y=4/3x-2	$x + 3 y = 9$ $y = \frac{4}{3} x - 2$
44232	Simplify	((9-x^2)/(3x))÷((x^2+6x+9)/(3x))	$\frac{9 - x^{2}}{3 x} \div \frac{x^{2} + 6 x + 9}{3 x}$
44233	Solve for y	30<5(8-y)	$30 < 5 (8 - y)$
44234	Evaluate the Integral	integral of cube root of 1+7x with respect to x	$\int \sqrt[3]{1 + 7 x} d x$
44235	Solve the Rational Equation for x	4^x+2^(x+1)=8	$4^{x} + 2^{x + 1} = 8$
44236	Solve for x	3+ cube root of 5x-6=4	$3 + \sqrt[3]{5 x - 6} = 4$
44237	Solve for y	(3-5y)/4=(2-4y)/3	$\frac{3 - 5 y}{4} = \frac{2 - 4 y}{3}$
44238	Solve the Inequality for n	-6n>54	$- 6 n > 54$
44239	Find the Excluded Values	2/x=1/(8x)+3	$\frac{2}{x} = \frac{1}{8 x} + 3$
44240	Simplify	((a^2b^-3)/(c^4))^(-1/2)	${(\frac{a^{2} b^{- 3}}{c^{4}})}^{- \frac{1}{2}}$
44241	Factor by Grouping	8x^6y^12+27	$8 x^{6} y^{12} + 27$
44242	Find the Derivative - d/dx	(5 fourth root of x^5)/2	$\frac{5 \sqrt[4]{x^{5}}}{2}$
44243	Find the Exact Value	8*8+7^2	$8 \cdot 8 + 7^{2}$
44244	Simplify	( cube root of 20b^7)( cube root of 162b^3)	$(\sqrt[3]{20 b^{7}}) (\sqrt[3]{162 b^{3}})$
44245	Simplify	(tan(x)^2+1)/(cot(x)^2-csc(x)^2)	$\frac{\tan^{2} (x) + 1}{\cot^{2} (x) - \csc^{2} (x)}$
44246	Evaluate	(tan(x))/(sec(x))	$\frac{\tan (x)}{\sec (x)}$
44247	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,1) and has a slope of -5/2 ?	What is the equation of the line that passes through the point $(- 2, 1)$ and has a slope of $- \frac{5}{2}$ ?
44248	Simplify	x^6y^4x^-1y^-4	$x^{6} y^{4} x^{- 1} y^{- 4}$
44249	Solve the System of Inequalities	x-y>=1 2x+y<2	$x - y \geq 1$ $2 x + y < 2$
44250	Determine if True	5 = log base 1 of 5	$5 = \log_{1} (5)$
44251	Graph	y=1/2sec(2x)	$y = \frac{1}{2} \sec (2 x)$
44252	Find the Excluded Values	1/(x-4)-5/(x+6)=10/(x^2+2x-24)	$\frac{1}{x - 4} - \frac{5}{x + 6} = \frac{10}{x^{2} + 2 x - 24}$
44253	Solve for x	cube root of 16x^2-64x=x	$\sqrt[3]{16 x^{2} - 64 x} = x$
44254	Graph	y=1/3x+2 -x+3y=6	$y = \frac{1}{3} x + 2$ $- x + 3 y = 6$
44255	Simplify the Radical Expression	i^41	$i^{41}$
44256	Simplify	2^53^56^-5	$2^{5} \cdot 3^{5} \cdot 6^{- 5}$
44257	Simplify	(x^2-5x-14)+(x-7)	$(x^{2} - 5 x - 14) + (x - 7)$
44258	Solve for x	2x^3-8x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 8 x^{2} - 24 x = a x (x + b) (x + c)$
44259	Solve using Gaussian Elimination	2x+3y-z=2 3x+5y+z=5	$2 x + 3 y - z = 2$ $3 x + 5 y + z = 5$
44260	Find the Holes in the Graph	y=(x-4)/(-4x-16)	$y = \frac{x - 4}{- 4 x - 16}$
44261	Determine if a Polynomial	(3x)/(x^6)+x-7	$\frac{3 x}{x^{6}} + x - 7$
44262	Solve for x	x^2<0	$x^{2} < 0$
44263	Evaluate	5*(1/2)^0	$5 \cdot {(\frac{1}{2})}^{0}$
44264	Write in y=mx+b Form	-4=-2y	$- 4 = - 2 y$
44265	Add	-7m-m^2+4m^2-3m	$- 7 m - m^{2} + 4 m^{2} - 3 m$
44266	Evaluate the Limit	limit as x approaches pi/6 of tan(-2x)-sin(2x)	$lim_{x \to \frac{π}{6}} \tan (- 2 x) - \sin (2 x)$
44267	Divide	(x^4-x^3+3x^2-6x-6)÷(x-2)	$(x^{4} - x^{3} + 3 x^{2} - 6 x - 6) \div (x - 2)$
44268	Find the End Behavior	f(x)=3(x+3)(x+2)(x-1)^3	$f (x) = 3 (x + 3) (x + 2) {(x - 1)}^{3}$
44269	Solve for x	a^x=a^y	$a^{x} = a^{y}$
44270	Find the Derivative - d/dx	y=e^(-2x^6-2x^5)	$y = e^{- 2 x^{6} - 2 x^{5}}$
44271	Simplify	1/( square root of 1-(( square root of 3)/2)^2)	$\frac{1}{\sqrt{1 - {(\frac{\sqrt{3}}{2})}^{2}}}$
44272	Solve for x	z=2(x-h)	$z = 2 (x - h)$
44273	Simplify the Radical Expression	3 square root of 7*7 square root of 14	$3 \sqrt{7} \cdot 7 \sqrt{14}$
44274	Evaluate	(2^2y^3)^5	${(2^{2} y^{3})}^{5}$
44275	Convert to Set Notation	4(5x+7)<=13	$4 (5 x + 7) \leq 13$
44276	Solve the System of Equations	y=-1/3x-2 x+3y=-6	$y = - \frac{1}{3} x - 2$ $x + 3 y = - 6$
44277	Solve by Substitution	y=-1/2x 2x+2y=5	$y = - \frac{1}{2} x$ $2 x + 2 y = 5$
44278	Simplify	-3f^2g^-3(2(fg))(7f^3g^-2)	$(- 3 f^{2} g^{- 3}) (2 f g) (7 f^{3} g^{- 2})$
44279	Simplify	(5r^2)/(r^2-4)*(r+2)/(10r^5)	$\frac{5 r^{2}}{r^{2} - 4} \cdot \frac{r + 2}{10 r^{5}}$
44280	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3-27x^2+26x-28 is divided by 3x-7	Use the long division method to find the result when $9 x^{3} - 27 x^{2} + 26 x - 28$ is divided by $3 x - 7$
44281	Simplify	((z^2y^-1x^-3)/(x^-8z^6y^4))^-4	${(\frac{z^{2} y^{- 1} x^{- 3}}{x^{- 8} z^{6} y^{4}})}^{- 4}$
44282	Evaluate	(9*(3+3))÷6	$9 \cdot (3 + 3) \div 6$
44283	Find the LCD	(4x)/(x-3) and x/(x-5)	$\frac{4 x}{x - 3}$ and $\frac{x}{x - 5}$
44284	Solve for x	-2-8(5-4x)=36-8x	$- 2 - 8 (5 - 4 x) = 36 - 8 x$
44285	Solve the Inequality for x	f(x) = square root of 2x^3-5x^2-3x	$f (x) = \sqrt{2 x^{3} - 5 x^{2} - 3 x}$
44286	Find the Asymptotes	g(x)=((2x+3)(x-6))/((x+2)(x-1))	$g (x) = \frac{(2 x + 3) (x - 6)}{(x + 2) (x - 1)}$
44287	Solve for k	(k+1)/2+(k+3)/4=1/2	$\frac{k + 1}{2} + \frac{k + 3}{4} = \frac{1}{2}$
44288	Find the Domain	x- square root of 169-x^2=17	$x - \sqrt{169 - x^{2}} = 17$
44289	Simplify	(x^2-xy)/(3y^2-3xy)	$\frac{x^{2} - x y}{3 y^{2} - 3 x y}$
44290	Solve for A	3A-7=17	$3 A - 7 = 17$
44291	Graph	graph y=3x	graph $y = 3 x$
44292	Combine Like Terms	-4+5x-17-22x	$- 4 + 5 x - 17 - 22 x$
44293	Evaluate the Integral	integral of (t^3+5t^2+7t+1)/(t^2+3t) with respect to t	$\int \frac{t^{3} + 5 t^{2} + 7 t + 1}{t^{2} + 3 t} d t$
44294	Evaluate	3+(-1/2)	$3 + (- \frac{1}{2})$
44295	Evaluate Using L'Hospital's Rule	limit as x approaches 0 from the right of sin(x)^(tan(x))	$lim_{x \to 0^{+}} {\sin (x)}^{\tan (x)}$
44296	Evaluate	cos(theta)=15/17	$\cos (θ) = \frac{15}{17}$
44297	Find the Average Rate of Change	table[[x,y],[0,3],[1,1.5],[2,0.75],[3,0.375]]	$\begin{array}{c} x & y \\ 0 & 3 \\ 1 & 1.5 \\ 2 & 0.75 \\ 3 & 0.375 \end{array}$
44298	Find the Domain and Range	f(x)=x^2+1 , -2<x<3	$f (x) = x^{2} + 1$ , $- 2 < x < 3$
44299	Graph	y>=-3x-2 and y<=4x+2	$y \geq - 3 x - 2$ and $y \leq 4 x + 2$
44300	Describe the Transformation	f(x)=f(-x)	$f (x) = f (- x)$