Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
35901	Determine if Linear	2/y=x	$\frac{2}{y} = x$
35902	Find the Exact Value	(9^2-31)/(5^2)	$\frac{(9^{2} - 31)}{5^{2}}$
35903	Solve the System of Equations	y=3x 2y+x=14	$y = 3 x$ $2 y + x = 14$
35904	Combine Like Terms	(5r-2s)-(9r-11s)	$(5 r - 2 s) - (9 r - 11 s)$
35905	Simplify	(5- square root of 8)/( square root of 2)	$\frac{5 - \sqrt{8}}{\sqrt{2}}$
35906	Find the Asymptotes	(3(5x-7))/(2(x+10)(x-10))	$\frac{3 (5 x - 7)}{2 (x + 10) (x - 10)}$
35907	Evaluate	(3g^2-g)+(3g^2-8g+4)	$(3 g^{2} - g) + (3 g^{2} - 8 g + 4)$
35908	Solve the Function Operation	f(x)=(2x)/(4-3x) f^-1(x)	$f (x) = \frac{2 x}{4 - 3 x}$ $f^{- 1} (x)$
35909	Solve for θ in Degrees	2cos(2theta)^2=1-cos(2theta)	$2 \cos^{2} (2 θ) = 1 - \cos (2 θ)$
35910	Graph	4x-y>=4 and y<5	$4 x - y \geq 4$ and $y < 5$
35911	Find the Derivative - d/dx	cos(x)-csc(x)	$\cos (x) - \csc (x)$
35912	Find the Slope	(2,5) and (0,9)	$(2, 5)$ and $(0, 9)$
35913	Find the Slope	(2,-6) and (0,2)	$(2, - 6)$ and $(0, 2)$
35914	Find the Maximum/Minimum Value	x^3+1	$x^{3} + 1$
35915	Subtract	4xy-13x^2y+7 7x^2y^2+12xy^2-3x^2y+11	$4 x y - 13 x^{2} y + 7$ $7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11$
35916	Find dv/dh	v=pir^2h	$v = π r^{2} h$
35917	Simplify	((c^2-6c-16)/(c^2-d^2))÷((c^2-8c)/(c+d))	$\frac{c^{2} - 6 c - 16}{c^{2} - d^{2}} \div \frac{c^{2} - 8 c}{c + d}$
35918	Simplify	( square root of 3)/2*2/1	$\frac{\sqrt{3}}{2} \cdot \frac{2}{1}$
35919	Find the Slope	In simplest form, what is the slope of the line passing through (5,3) and (-4,-3) ?	In simplest form, what is the slope of the line passing through $(5, 3)$ and $(- 4, - 3)$ ?
35920	Divide	(8/5)÷(-12/25)	$\frac{8}{5} \div (- \frac{12}{25})$
35921	Simplify the Radical Expression	( square root of y+ square root of z)/( square root of y- square root of z)	$\frac{\sqrt{y} + \sqrt{z}}{\sqrt{y} - \sqrt{z}}$
35922	Solve for x	sin(x)+sin(3x)=0	$\sin (x) + \sin (3 x) = 0$
35923	Simplify	((c^-3c^4)/(c^2))^-2	${(\frac{c^{- 3} c^{4}}{c^{2}})}^{- 2}$
35924	Convert to Rectangular Coordinates	(8,15 degrees )	$(8, 15 °)$
35925	Convert to a Percentage	0.2 as a percentage	$0.2$ as a percentage
35926	Find the Domain and Range	y=3-2cos(x/2)	$y = 3 - 2 \cos (\frac{x}{2})$
35927	Find the End Behavior	x^5-4x^4+2x^2-1	$x^{5} - 4 x^{4} + 2 x^{2} - 1$
35928	Simplify	cube root of (27a^9)/(8b^6)	$\sqrt[3]{\frac{27 a^{9}}{8 b^{6}}}$
35929	Simplify	1/(x^3y^2)-1	$\frac{1}{x^{3} y^{2}} - 1$
35930	Evaluate	log base 4 of 17/4	$\log_{4} (\frac{17}{4})$
35931	Find the Local Maxima and Minima	f(x)=2/5x^5+5x^4+16x^3-15	$f (x) = \frac{2}{5} x^{5} + 5 x^{4} + 16 x^{3} - 15$
35932	Find All Complex Solutions	square root of 3tan(x)cot(x)+ square root of 3tan(x)-cot(x)-1=0	$\sqrt{3} \tan (x) \cot (x) + \sqrt{3} \tan (x) - \cot (x) - 1 = 0$
35933	Evaluate the Integral	integral from 0 to 1 of x/( square root of x+1) with respect to x	$\int_{0}^{1} \frac{x}{\sqrt{x + 1}} d x$
35934	Solve for n	0.3n=0.8+0.7n	$0.3 n = 0.8 + 0.7 n$
35935	Evaluate the Limit	limit as x approaches infinity of 10/(6x)	$lim_{x \to \infty} \frac{10}{6 x}$
35936	Find the Range	f(x)=7x^5-3x^2+4x-15	$f (x) = 7 x^{5} - 3 x^{2} + 4 x - 15$
35937	Subtract	(8k+9)/18-(2k+1)/18	$\frac{8 k + 9}{18} - \frac{2 k + 1}{18}$
35938	Graph	x<7 or x<9	$x < 7$ or $x < 9$
35939	Solve for z	z^2-3/4z=-80	$z^{2} - \frac{3}{4} z = - 80$
35940	Simplify	3a(2x-7)+5b(7-2x)	$3 a (2 x - 7) + 5 b (7 - 2 x)$
35941	Evaluate the Integral	integral from -2 to 0 of (1/2t^4+1/4t^3-t) with respect to t	$\int_{- 2}^{0} (\frac{1}{2} t^{4} + \frac{1}{4} t^{3} - t) d t$
35942	Find the First Term	t_n=2n^2-n	$t_{n} = 2 n^{2} - n$
35943	Integrate Using u-Substitution	integral from 0 to 2 of x/( square root of 1+2x^2) with respect to x	$\int_{0}^{2} \frac{x}{\sqrt{1 + 2 x^{2}}} d x$
35944	Find the Distance Between Two Points	(8,-8) and (-1,-5)	$(8, - 8)$ and $(- 1, - 5)$
35945	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,2) and has a slope of -3 ?	What is the equation of the line that passes through the point $(- 3, 2)$ and has a slope of $- 3$ ?
35946	Graph	Graph y=2x+1	Graph $y = 2 x + 1$
35947	Find the Slope	-2x+3	$- 2 x + 3$
35948	Solve for x	log base 4 of x-5 = log base 4 of 30x- log base 4 of 6	$\log_{4} (x - 5) = \log_{4} (30 x) - \log_{4} (6)$
35949	Find the Domain and Range	f(x)=3tan(2x-(3pi)/2)	$f (x) = 3 \tan (2 x - \frac{3 π}{2})$
35950	Find the x and y Intercepts	-x/3.5+y/12.5=1	$- \frac{x}{3.5} + \frac{y}{12.5} = 1$
35951	Solve the Function Operation	f(x)=3 cube root of x-5 ; find f^-1(x)	$f (x) = 3 \sqrt[3]{x} - 5$ ; find $f^{- 1} (x)$
35952	Find Where Increasing/Decreasing	f(x)=2^(x-1)	$f (x) = 2^{x - 1}$
35953	Multiply	(p+7)/(p-10)*(p+2)/(7p+14)	$\frac{p + 7}{p - 10} \cdot \frac{p + 2}{7 p + 14}$
35954	Evaluate	( cube root of 1/5)^3	${(\sqrt[3]{\frac{1}{5}})}^{3}$
35955	Evaluate	(-1/2)/((- square root of 3)/2)	$\frac{- \frac{1}{2}}{\frac{- \sqrt{3}}{2}}$
35956	Find the Domain and Range	y=6- cube root of x+8	$y = 6 - \sqrt[3]{x + 8}$
35957	Find dy/dx	y=1/( sixth root of x^2-5x)	$y = \frac{1}{\sqrt[6]{x^{2} - 5 x}}$
35958	Find the Derivative - d/dx	(sin(x)^2)/(1+cos(x))	$\frac{\sin^{2} (x)}{1 + \cos (x)}$
35959	Evaluate the Limit	limit as x approaches 6 of (2 square root of 6 square root of x-12)/(x-6)	$lim_{x \to 6} \frac{2 \sqrt{6} \sqrt{x} - 12}{x - 6}$
35960	Find the Domain and Range	f(theta)=1+sec(pitheta)	$f (θ) = 1 + \sec (π θ)$
35961	Find the Domain	square root of cube root of 9-x	$\sqrt{\sqrt[3]{9 - x}}$
35962	Solve the System of Equations	-5x-2y=13 and 3x-y=12	$- 5 x - 2 y = 13$ and $3 x - y = 12$
35963	Evaluate the Integral	integral of ( square root of x-2x^5+1)/(x^2) with respect to x	$\int \frac{\sqrt{x} - 2 x^{5} + 1}{x^{2}} d x$
35964	Simplify	(2^(-1/2)*7^(1/3))^6	${(2^{- \frac{1}{2}} \cdot 7^{\frac{1}{3}})}^{6}$
35965	Find the Domain and Range	f(x)=5/2\|x-4\|+2	$f (x) = \frac{5}{2} \| x - 4 \| + 2$
35966	Find the Asymptotes	y=(x^2+x-12)/(x-3)	$y = \frac{x^{2} + x - 12}{x - 3}$
35967	Rationalize the Numerator	( square root of x+h-3- square root of x-3)/h	$\frac{\sqrt{x + h - 3} - \sqrt{x - 3}}{h}$
35968	Solve for k	k+13/6=7/4	$k + \frac{13}{6} = \frac{7}{4}$
35969	Evaluate	sin(arccos(-4/( square root of 25)))	$\sin (\arccos (- \frac{4}{\sqrt{25}}))$
35970	Simplify	(3x*4x^2)^3	${(3 x \cdot 4 x^{2})}^{3}$
35971	Simplify	10^12*10^35	$10^{12} \cdot 10^{35}$
35972	Solve for x	3x-8-5x=2-6x-7	$3 x - 8 - 5 x = 2 - 6 x - 7$
35973	Simplify	(( square root of 5)/3)/(-2/3)	$\frac{\frac{\sqrt{5}}{3}}{- \frac{2}{3}}$
35974	Simplify	log of 10^(4x^3+2)	$\log (10^{4 x^{3} + 2})$
35975	Graph	square root of 1/3x	$\sqrt{\frac{1}{3} x}$
35976	Solve for x	7x^2+5-x=6x^2+10	$7 x^{2} + 5 - x = 6 x^{2} + 10$
35977	Evaluate the Integral	integral of ((x-3)/(x+3)) with respect to x	$\int (\frac{x - 3}{x + 3}) d x$
35978	Solve for θ in Degrees	cos(theta)^2+cos(theta)=0	$\cos^{2} (θ) + \cos (θ) = 0$
35979	Graph	1/2y^2=x	$\frac{1}{2} y^{2} = x$
35980	Find the Slope	Find the slope of the line passing through the points (-3,-8) and (4,6)	Find the slope of the line passing through the points $(- 3, - 8)$ and $(4, 6)$
35981	Simplify	(2x^3y)(5xy^2)(3xy)	$(2 x^{3} y) (5 x y^{2}) (3 x y)$
35982	Determine if True	(tan(theta))/(sin(theta))=sec(theta)	$\frac{\tan (θ)}{\sin (θ)} = \sec (θ)$
35983	Simplify the Matrix	p(x):x+\|1+x\|=-2 q(x):2\|x+4\|-4=x	$p (x) : x + \| 1 + x \| = - 2$ $q (x) : 2 \| x + 4 \| - 4 = x$
35984	Divide	((7x^3)/(x^2+x-30))÷((x^2-6x)/(x^2-36))	$\frac{7 x^{3}}{x^{2} + x - 30} \div \frac{x^{2} - 6 x}{x^{2} - 36}$
35985	Evaluate	6x-3(x+8)=9	$6 x - 3 (x + 8) = 9$
35986	Solve by Factoring	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
35987	Simplify	4/( square root of -4)	$\frac{4}{\sqrt{- 4}}$
35988	Solve the System of Equations	6x+y=4 5x+y-7=0	$6 x + y = 4$ $5 x + y - 7 = 0$
35989	Find the Exact Value	(76+2^2)/(4^2)	$\frac{(76 + 2^{2})}{4^{2}}$
35990	Divide	( square root of x+y)/( square root of x-y)	$\frac{\sqrt{x + y}}{\sqrt{x - y}}$
35991	Simplify	(4/(3x)+2/(x^2))/(x/(x+1)-4/(x+1))	$\frac{\frac{4}{3 x} + \frac{2}{x^{2}}}{\frac{x}{x + 1} - \frac{4}{x + 1}}$
35992	Simplify	(x/(x-5))÷((xy)/(x^2-25))	$\frac{x}{x - 5} \div \frac{x y}{x^{2} - 25}$
35993	Multiply	x+1*x	$x + 1 \cdot x$
35994	Solve for C	x^2+bx+C=0	$x^{2} + b x + C = 0$
35995	Solve for x	cube root of (x-2)^2=5	$\sqrt[3]{{(x - 2)}^{2}} = 5$
35996	Evaluate the Limit	limit as x approaches 0 of (9x^2+4x^5)/(-7x^2)	$lim_{x \to 0} \frac{9 x^{2} + 4 x^{5}}{- 7 x^{2}}$
35997	Find the Slope	(-12,-5) and (0,-8)	$(- 12, - 5)$ and $(0, - 8)$
35998	Find the Domain	F(x)=(2x^2-x-1)/(x^2+1)	$F (x) = \frac{2 x^{2} - x - 1}{x^{2} + 1}$
35999	Simplify	(1/81)^(1/2)*(1/81)^(-3/4)	${(\frac{1}{81})}^{\frac{1}{2}} \cdot {(\frac{1}{81})}^{- \frac{3}{4}}$
36000	Multiply	(4x^2+x-2)(x^2+x+2)	$(4 x^{2} + x - 2) (x^{2} + x + 2)$