Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36901	Find the Product	(17+e^2)(17-e^2)	$(17 + e^{2}) (17 - e^{2})$
36902	Evaluate	sin(2x)=2sin(x)	$\sin (2 x) = 2 \sin (x)$
36903	Solve the Inequality for n	15<n+3-7n	$15 < n + 3 - 7 n$
36904	Solve using Gaussian Elimination	-x+3y+10z=8 4x-9y-34z=-17 3x+5y-2z=46	$- x + 3 y + 10 z = 8$ $4 x - 9 y - 34 z = - 17$ $3 x + 5 y - 2 z = 46$
36905	Solve the Inequality for w	-8<=8w	$- 8 \leq 8 w$
36906	Find the Domain and Range	y=3-2^x	$y = 3 - 2^{x}$
36907	Simplify	(12x^2+3x^4-6x-2)+(-3x^4+5x+9-7x^2)	$(12 x^{2} + 3 x^{4} - 6 x - 2) + (- 3 x^{4} + 5 x + 9 - 7 x^{2})$
36908	Simplify the Radical Expression	- square root of 4+ square root of -108+ square root of 9- square root of -12	$- \sqrt{4} + \sqrt{- 108} + \sqrt{9} - \sqrt{- 12}$
36909	Factor	16x^2(x^2+7)-9(x^2+7)	$16 x^{2} (x^{2} + 7) - 9 (x^{2} + 7)$
36910	Solve the System of Equations	Solve the system of equations y=2x+3 and 2y+2x=-6 using the Substitution Method.	Solve the system of equations $y = 2 x + 3$ and $2 y + 2 x = - 6$ using the Substitution Method.
36911	Find the Antiderivative	e^(2x)+2/x	$e^{2 x} + \frac{2}{x}$
36912	Solve for x	x^2 = square root of 3	$x^{2} = \sqrt{3}$
36913	Graph	f(x)=e^x if x<=0; x-1 if 0=1	$f (x) = {\begin{cases} e^{x} & x \leq 0 \\ x - 1 & 0 = 1 \end{cases}$
36914	Evaluate the Limit	limit as x approaches 1 of x^2sin(pix^2)	$lim_{x \to 1} x^{2} \sin (π x^{2})$
36915	Graph	x>=0 y>=0 y<=7-x	$x \geq 0$ $y \geq 0$ $y \leq 7 - x$
36916	Evaluate	(4a)^-3*a^-4	${(4 a)}^{- 3} \cdot a^{- 4}$
36917	Simplify	(-3x^5-x^4-x^3+2x^2)-(x^5-x^4+x^3-3x^2)	$(- 3 x^{5} - x^{4} - x^{3} + 2 x^{2}) - (x^{5} - x^{4} + x^{3} - 3 x^{2})$
36918	Find the Antiderivative	(2x^4+4x^3-x)/(x^3)	$\frac{2 x^{4} + 4 x^{3} - x}{x^{3}}$
36919	Solve the Rational Equation for x	-5-(2x)/(x-4)=-8/(x-4)	$- 5 - \frac{2 x}{x - 4} = - \frac{8}{x - 4}$
36920	Solve for v	v^(1/2)+1=0	$v^{\frac{1}{2}} + 1 = 0$
36921	Solve the Inequality for x	\|x\|+7<4	$\| x \| + 7 < 4$
36922	Solve the System of Equations	-3x+3y=9 and 2x-7y=-14	$- 3 x + 3 y = 9$ and $2 x - 7 y = - 14$
36923	Find the Roots (Zeros)	\|x\|+x=0	$\| x \| + x = 0$
36924	Solve for n	39-7n=5n-5(6+7n)	$39 - 7 n = 5 n - 5 (6 + 7 n)$
36925	Find the Second Derivative	square root of 2x-x^2	$\sqrt{2 x - x^{2}}$
36926	Solve for x	square root of 2x-3 = square root of 10-x	$\sqrt{2 x - 3} = \sqrt{10 - x}$
36927	Find the Derivative - d/dx	y=e^(2x)-xcos(xy)	$y = e^{2 x} - x \cos (x y)$
36928	Find Amplitude, Period, and Phase Shift	y=cos((4pix)/7-2pi)	$y = \cos (\frac{4 π x}{7} - 2 π)$
36929	Simplify	f(3+h)-f(3)	$f (3 + h) - f (3)$
36930	Solve the System of Equations	y=x^2+10x+3 y=-x^2-5	$y = x^{2} + 10 x + 3$ $y = - x^{2} - 5$
36931	Simplify	((4x^2+7x-2)/(3x+9))÷((x^2-4)/(x^2+x-6))	$\frac{4 x^{2} + 7 x - 2}{3 x + 9} \div \frac{x^{2} - 4}{x^{2} + x - 6}$
36932	Evaluate	f(x)=7(x-1)+8	$f (x) = 7 (x - 1) + 8$
36933	Graph	x^2+(y-3/2x)^2=1	$x^{2} + {(y - \frac{3}{2} x)}^{2} = 1$
36934	Simplify	fifth root of 32/(x^5)	$\sqrt[5]{\frac{32}{x^{5}}}$
36935	Solve by Substitution	2x-y=4 and y=-2x+8	$2 x - y = 4$ and $y = - 2 x + 8$
36936	Determine if Continuous	h(x)=x^2+k^2,0<=x<=2; (2x+4)/(x-1),x>2	$h (x) = {\begin{cases} x^{2} + k^{2}, 0 \leq x \leq 2 \\ \frac{2 x + 4}{x - 1}, x > 2 \end{cases}$
36937	Find the Domain and Range	y=-3cos(x-2)	$y = - 3 \cos (x - 2)$
36938	Determine if a Polynomial	square root of 2x^5-7x^2-8x	$\sqrt{2} x^{5} - 7 x^{2} - 8 x$
36939	Evaluate	(3x^3)(3x^4)(-3x^2)	$(3 x^{3}) (3 x^{4}) (- 3 x^{2})$
36940	Solve for a	2/3(6a+9)=20.4	$\frac{2}{3} (6 a + 9) = 20.4$
36941	Subtract	(5y^3-2y^2-1)-(y^2-2y-3)	$(5 y^{3} - 2 y^{2} - 1) - (y^{2} - 2 y - 3)$
36942	Evaluate the Integral	integral from 0 to square root of 3/2 of 1/( square root of 1-r^2) with respect to r	$\int_{0}^{\sqrt{\frac{3}{2}}} \frac{1}{\sqrt{1 - r^{2}}} d r$
36943	Factor	14pq+35pqr	$14 p q + 35 p q r$
36944	Find the Derivative - d/dx	y=(csc(x/2)^2)/(3x+4)	$y = \frac{\csc^{2} (\frac{x}{2})}{3 x + 4}$
36945	Find h(f(x))	f(x)=5x^2+2x-5 , g(x)=7x+8 , h(x)=4x^2-10	$f (x) = 5 x^{2} + 2 x - 5$ , $g (x) = 7 x + 8$ , $h (x) = 4 x^{2} - 10$
36946	Simplify	(11p-4q^2-q)-(q^2-4p+7p^2)	$(11 p - 4 q^{2} - q) - (q^{2} - 4 p + 7 p^{2})$
36947	Evaluate Using the Given Value	2+3x if x=5	$2 + 3 x$ if $x = 5$
36948	Add	(15x^2-3x+11)+(2x^3-x^2+6x+1)	$(15 x^{2} - 3 x + 11) + (2 x^{3} - x^{2} + 6 x + 1)$
36949	Find the Roots (Zeros)	g(x)=x(x-2)(2x-1)	$g (x) = x (x - 2) (2 x - 1)$
36950	Solve for C	d=C/pi	$d = \frac{C}{π}$
36951	Evaluate	(10*7)+(10-6)	$(10 \times 7) + (10 - 6)$
36952	Simplify	(2/7)/((3 square root of 5)/7)	$\frac{\frac{2}{7}}{\frac{3 \sqrt{5}}{7}}$
36953	Evaluate	3b^2( cube root of 54a)+3( cube root of 2ab^6)	$3 b^{2} (\sqrt[3]{54 a}) + 3 (\sqrt[3]{2 a b^{6}})$
36954	Convert to a Percentage	34 is what percent of 40	$34$ is what percent of $40$
36955	Simplify	2x+(5x)/(x+3)	$2 x + \frac{5 x}{x + 3}$
36956	Solve the System of Inequalities	y<=2x y<-3/4x-2	$y \leq 2 x$ $y < - \frac{3}{4} x - 2$
36957	Divide	(-8x^8-40x^5)÷(-4x^2)	$(- 8 x^{8} - 40 x^{5}) \div (- 4 x^{2})$
36958	Solve the System of Equations	x^2+y^2=25 2x+y=10	$x^{2} + y^{2} = 25$ $2 x + y = 10$
36959	Solve for g	15/(2g-7)=3/5	$\frac{15}{2 g - 7} = \frac{3}{5}$
36960	Find the Domain and Range	1/(\|x-2\|)	$\frac{1}{\| x - 2 \|}$
36961	Evaluate	(tan(theta))/(cot(theta))	$\frac{\tan (θ)}{\cot (θ)}$
36962	Evaluate	2sin(x) = square root of 3	$2 \sin (x) = \sqrt{3}$
36963	Simplify	(x+1)/(x-4)-(x+1)/(x^2-7x+12)	$\frac{x + 1}{x - 4} - \frac{x + 1}{x^{2} - 7 x + 12}$
36964	Factor	x^2-bx-ax+ab	$x^{2} - b x - a x + a b$
36965	Evaluate the Limit	limit as t approaches 0 of t/(e^t-1)	$lim_{t \to 0} \frac{t}{e^{t} - 1}$
36966	Simplify	(6 square root of 2x)/(5 square root of 3)	$\frac{6 \sqrt{2 x}}{5 \sqrt{3}}$
36967	Write in Standard Form	f(x)=4+5x+x^2	$f (x) = 4 + 5 x + x^{2}$
36968	Evaluate	5+(3-2)*2(3-1)	$5 + (3 - 2) \cdot 2 (3 - 1)$
36969	Solve for x	-4+3x-1=2x+1+2x	$- 4 + 3 x - 1 = 2 x + 1 + 2 x$
36970	Find Where Increasing/Decreasing	y=x/(x^2+1)	$y = \frac{x}{x^{2} + 1}$
36971	Find the Domain and Range	-x^2+3x-8=0	$- x^{2} + 3 x - 8 = 0$
36972	Solve for t	-1/2(t+3)-10=-6.5	$- \frac{1}{2} (t + 3) - 10 = - 6.5$
36973	Simplify	(x+2)/(x+1)-(2x)/(x^2-1)	$\frac{x + 2}{x + 1} - \frac{2 x}{x^{2} - 1}$
36974	Divide	(64x^4-88x^8)/(-8x^3)	$\frac{64 x^{4} - 88 x^{8}}{- 8 x^{3}}$
36975	Simplify the Radical Expression	14 square root of 2b+17 square root of 2c-28 square root of 2c+19 square root of 2b	$14 \sqrt{2 b} + 17 \sqrt{2 c} - 28 \sqrt{2 c} + 19 \sqrt{2 b}$
36976	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-3x^2-10x+24 is divided by x+3	Use synthetic division to find the result when $x^{3} - 3 x^{2} - 10 x + 24$ is divided by $x + 3$
36977	Solve the Rational Equation for x	(-2x+6)^(1/5)=(-8+10x)^(1/5)	${(- 2 x + 6)}^{\frac{1}{5}} = {(- 8 + 10 x)}^{\frac{1}{5}}$
36978	Simplify	((-8)^2c^0)/(5^-1d^-6)	$\frac{{(- 8)}^{2} c^{0}}{5^{- 1} d^{- 6}}$
36979	Solve for g	8/3=g/3	$\frac{8}{3} = \frac{g}{3}$
36980	Find All Complex Solutions	(x+1)/(x-3)=(x^2-6x+1)/((x-3)(x-1))	$\frac{x + 1}{x - 3} = \frac{x^{2} - 6 x + 1}{(x - 3) (x - 1)}$
36981	Evaluate	(2* square root of 6)^4	${(2 \cdot \sqrt{6})}^{4}$
36982	Evaluate	-cos(-pi)	$- \cos (- π)$
36983	Evaluate the Integral	integral of (sin( square root of 3x))/( square root of 3x) with respect to x	$\int \frac{\sin (\sqrt{3 x})}{\sqrt{3 x}} d x$
36984	Solve for x	2=x+ square root of x	$2 = x + \sqrt{x}$
36985	Write in Standard Form	3-3/4x=7/10	$3 - \frac{3}{4} x = \frac{7}{10}$
36986	Solve for a	(4a-4)/16-(3-5a)/24=1	$\frac{(4 a - 4)}{16} - \frac{(3 - 5 a)}{24} = 1$
36987	Simplify	(x-1/x)^3	${(x - \frac{1}{x})}^{3}$
36988	Solve for x	2/(x^2+1)+1/x=2/x	$\frac{2}{x^{2} + 1} + \frac{1}{x} = \frac{2}{x}$
36989	Find the GCF	5xy+30y^2	$5 x y + 30 y^{2}$
36990	Find the Product	4x^3*2x^3	$4 x^{3} \cdot 2 x^{3}$
36991	Find the Distance Between Two Points	(-1,2) and (-7,-6)	$(- 1, 2)$ and $(- 7, - 6)$
36992	Solve the Inequality for D	15<=1.04D-34.6<=23	$15 \leq 1.04 D - 34.6 \leq 23$
36993	Find the GCF	9 and 18	$9$ and $18$
36994	Solve for x	64^(x-1)=4^((x-1)/3)	$64^{x - 1} = 4^{\frac{(x - 1)}{3}}$
36995	Solve the Inequality for p	-35<=15+10p<=25	$- 35 \leq 15 + 10 p \leq 25$
36996	Find the GCF	42mn , 14mn	$42 m n$ , $14 m n$
36997	Simplify	((2x-3)/(3x+8))/5	$\frac{\frac{2 x - 3}{3 x + 8}}{5}$
36998	Solve for x in Radians	2sin(x)^2-5sin(x)+2=0	$2 \sin^{2} (x) - 5 \sin (x) + 2 = 0$
36999	Multiply	1/2x*2	$\frac{1}{2} x \cdot 2$
37000	Solve by Factoring	5x^3=50x	$5 x^{3} = 50 x$