Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
24601	Find the Derivative - d/dx	y=x^3*cos(x^3)	$y = x^{3} \cdot \cos (x^{3})$
24602	Solve for x	bx-c=ax+d	$b x - c = a x + d$
24603	Find the Antiderivative	f(x)=2/( square root of x-2)	$f (x) = \frac{2}{\sqrt{x - 2}}$
24604	Write in Standard Form	(4x^3+2x+6)+(2x^3-x^2+2)	$(4 x^{3} + 2 x + 6) + (2 x^{3} - x^{2} + 2)$
24605	Evaluate	v^2=v_0^2+2ax	$v^{2} = {v_{0}}^{2} + 2 a x$
24606	Calculate the Square Root	28-( square root of 144)^2	$28 - {(\sqrt{144})}^{2}$
24607	Simplify	-((2x)/(-xy))	$- (\frac{2 x}{- x y})$
24608	Solve the Inequality for x	e^x>4	$e^{x} > 4$
24609	Simplify the Radical Expression	(x^(-10/3))/(x^3)	$\frac{x^{- \frac{10}{3}}}{x^{3}}$
24610	Find the Integral	e^(x+y)	$e^{x + y}$
24611	Divide Using Long Polynomial Division	(5x^2+x+7)/x	$\frac{5 x^{2} + x + 7}{x}$
24612	Solve the Inequality for x	2^(x+3)+2^x=72	$2^{x + 3} + 2^{x} = 72$
24613	Expand the Logarithmic Expression	log of 5(x^3)/2xy^3	$\log (5) \frac{x^{3}}{2} x y^{3}$
24614	Write in Standard Form	x-7x^2+7	$x - 7 x^{2} + 7$
24615	Simplify	( square root of -4)^3	${(\sqrt{- 4})}^{3}$
24616	Graph	y=x^2 and y=x^2-6	$y = x^{2}$ and $y = x^{2} - 6$
24617	Solve the Inequality for x	sin(x)<0	$\sin (x) < 0$
24618	Simplify	(x^2+10x+25)/((x+5)^3 square root of x+5)	$\frac{x^{2} + 10 x + 25}{{(x + 5)}^{3} \sqrt{x + 5}}$
24619	Solve for x	21<=x^2+4x	$21 \leq x^{2} + 4 x$
24620	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3-8x^2+11x-5 is divided by x-1	Use synthetic division to find the result when $2 x^{3} - 8 x^{2} + 11 x - 5$ is divided by $x - 1$
24621	Solve for y	(3y-2)/y-1/(y-2)=(3y+4)/(y^2-2y)	$\frac{3 y - 2}{y} - \frac{1}{y - 2} = \frac{3 y + 4}{y^{2} - 2 y}$
24622	Solve Using the Quadratic Formula	z(z+4)=-8	$z (z + 4) = - 8$
24623	Simplify	f(x)=- square root of 81(2v+1)^20	$f (x) = - \sqrt{81 {(2 v + 1)}^{20}}$
24624	Solve for x	0.5(x-3)+(1.5-x)=5x	$0.5 (x - 3) + (1.5 - x) = 5 x$
24625	Solve for x	x+x square root of 2=10	$x + x \sqrt{2} = 10$
24626	Solve for z	limit as x approaches -1 of (x^2+yx+z)/(x^2-1)=3	$lim_{x \to - 1} \frac{x^{2} + y x + z}{x^{2} - 1} = 3$
24627	Evaluate	-4^(3(-1))	$- 4^{3 (- 1)}$
24628	Simplify	(7x^-3y^-4)/(8z^-5)	$\frac{7 x^{- 3} y^{- 4}}{8 z^{- 5}}$
24629	Solve the Rational Equation for n	square root of 3n+12 = square root of n+8	$\sqrt{3 n + 12} = \sqrt{n + 8}$
24630	Simplify	cube root of (5x^3)/(49x^5)	$\sqrt[3]{\frac{5 x^{3}}{49 x^{5}}}$
24631	Solve for θ in Degrees	sec(theta)^2-25=0	$\sec^{2} (θ) - 25 = 0$
24632	Simplify the Radical Expression	(64x^3y^6)^(1/3)	${(64 x^{3} y^{6})}^{\frac{1}{3}}$
24633	Evaluate the Integral	integral of (x^-2-6+x^5) with respect to x	$\int (x^{- 2} - 6 + x^{5}) d x$
24634	Solve for x	5/3x-3=1/3+2x	$\frac{5}{3} x - 3 = \frac{1}{3} + 2 x$
24635	Graph	y<-2\|x\|+6	$y < - 2 \| x \| + 6$
24636	Write in Standard Form	11x^2-6x+8x-2x^3	$11 x^{2} - 6 x + 8 x - 2 x^{3}$
24637	Solve the System of Inequalities	y>=x+4 y>=5-x	$y \geq x + 4$ $y \geq 5 - x$
24638	Solve for v₂	v_2^2=3544	${v_{2}}^{2} = 3544$
24639	Simplify	(6y^4)/4*(8y)/(18y^2)	$\frac{6 y^{4}}{4} \cdot \frac{8 y}{18 y^{2}}$
24640	Simplify	(x+8)/4-(x+5)/4	$\frac{x + 8}{4} - \frac{x + 5}{4}$
24641	Find the Distance Between Two Points	(-2,1) and (4,3)	$(- 2, 1)$ and $(4, 3)$
24642	Simplify	((3x^5y^-4)/(5x^2))^2	${(\frac{3 x^{5} y^{- 4}}{5 x^{2}})}^{2}$
24643	Solve the Function Operation	f(x)=(x-8)^7 ; find f^-1(x)	$f (x) = {(x - 8)}^{7}$ ; find $f^{- 1} (x)$
24644	Divide	(-1/3)÷(-10/3)	$- \frac{1}{3} \div (- \frac{10}{3})$
24645	Solve the System of Equations	5a+b+c=11 a+6b+3c=-1 2a+b-c=-1	$5 a + b + c = 11$ $a + 6 b + 3 c = - 1$ $2 a + b - c = - 1$
24646	Simplify	-(2q^2)/(3(q^-4)^2)	$- \frac{2 q^{2}}{3 {(q^{- 4})}^{2}}$
24647	Simplify	((3ab)^3)/(2ab^2(6a)^2)	$\frac{{(3 a b)}^{3}}{2 a b^{2} {(6 a)}^{2}}$
24648	Write in Standard Form	f(x)=8-x^2	$f (x) = 8 - x^{2}$
24649	Solve for x	(x+3)^2+(x+3)-2=0	${(x + 3)}^{2} + (x + 3) - 2 = 0$
24650	Multiply	(4/3)(2/5)	$(\frac{4}{3}) (\frac{2}{5})$
24651	Find the Derivative - d/dy	1-xe^y	$1 - x e^{y}$
24652	Evaluate the Limit	limit as x approaches infinity of ((x-1)(3x+1)^3)/((x-2)^4)	$lim_{x \to \infty} \frac{(x - 1) {(3 x + 1)}^{3}}{{(x - 2)}^{4}}$
24653	Evaluate	tan(x)-(sec(x)^2)/(tan(x))	$\tan (x) - \frac{\sec^{2} (x)}{\tan (x)}$
24654	Find the Integral	xsin(2x)	$x \sin (2 x)$
24655	Find dy/dx	y=sin(6x)cos(x)^2	$y = \sin (6 x) \cos^{2} (x)$
24656	Graph	-2y^2+x-4y+1=0	$- 2 y^{2} + x - 4 y + 1 = 0$
24657	Find the Derivative - d/dx	2e^(1-6)cos(e^(1-6))sin(e^(1-6))+sec(sin(6))^2cos(6)	$2 e^{1 - 6} \cos (e^{1 - 6}) \sin (e^{1 - 6}) + \sec^{2} (\sin (6)) \cos (6)$
24658	Subtract	2/5cd^2-1/3cd^2	$\frac{2}{5} c d^{2} - \frac{1}{3} c d^{2}$
24659	Simplify	(7x-21)/(x^2-81)	$\frac{7 x - 21}{x^{2} - 81}$
24660	Solve the Function Operation	Given that f(x)=x^2-10x+21 and g(x)=x-7 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 10 x + 21$ and $g (x) = x - 7$ ; find $(f + g) (x)$ and express the result in standard form.
24661	Evaluate	-3*(75÷((9-4)^2))^2	$- 3 \times {(75 \div {(9 - 4)}^{2})}^{2}$
24662	Simplify	((4a)/(2-a)-a)÷((a+2)/(a-2))	$(\frac{4 a}{2 - a} - a) \div \frac{a + 2}{a - 2}$
24663	Find the Cosecant Given the Point	(- square root of 3,-1)	$(- \sqrt{3}, - 1)$
24664	Factor	-x^3+2x^2+x-2	$- x^{3} + 2 x^{2} + x - 2$
24665	Find the Product	(5d-12)(-7+3d)	$(5 d - 12) (- 7 + 3 d)$
24666	Find the Exact Value	cot(540 degrees )	$\cot (540 °)$
24667	Solve by Factoring	(3x+3)(x+2)=1	$(3 x + 3) (x + 2) = 1$
24668	Solve the Inequality for x	3(x+4)-5(x-1)<5	$3 (x + 4) - 5 (x - 1) < 5$
24669	Convert to Interval Notation	x<=-6 or x>-4	$x \leq - 6$ or $x > - 4$
24670	Factor by Grouping	x(b+c)+3b+3c	$x (b + c) + 3 b + 3 c$
24671	Simplify	2 cube root of 3+ cube root of 3	$2 \sqrt[3]{3} + \sqrt[3]{3}$
24672	Integrate Using u-Substitution	integral of x^2sin(x^3) with respect to x	$\int x^{2} \sin (x^{3}) d x$
24673	Simplify	(2a^2-3ab+5b^2)-(a^2-2ab+3b^2)	$(2 a^{2} - 3 a b + 5 b^{2}) - (a^{2} - 2 a b + 3 b^{2})$
24674	Simplify	cube root of 2x^2* cube root of 4x	$\sqrt[3]{2 x^{2}} \cdot \sqrt[3]{4 x}$
24675	Simplify	((x^-1)/(2y^2))^-5	${(\frac{x^{- 1}}{2 y^{2}})}^{- 5}$
24676	Simplify	(3 square root of 3-2 square root of 2)* square root of 6	$(3 \sqrt{3} - 2 \sqrt{2}) \cdot \sqrt{6}$
24677	Simplify	(x-10)/(x^2-17x+70)(x^2-16x+63)/(x-9)6/(3x)	$\frac{x - 10}{x^{2} - 17 x + 70} \cdot \frac{x^{2} - 16 x + 63}{x - 9} \cdot \frac{6}{3 x}$
24678	Simplify	(x+1)(2x)	$(x + 1) (2 x)$
24679	Evaluate the Integral	integral from 2 to x of (3t^2-1) with respect to t	$\int_{2}^{x} (3 t^{2} - 1) d t$
24680	Simplify	square root of 64+ cube root of 8	$\sqrt{64} + \sqrt[3]{8}$
24681	Evaluate the Integral	integral of natural log of 1+x^2 with respect to x	$\int \ln (1 + x^{2}) d x$
24682	Factor	b^2+4a^2-4ab	$b^{2} + 4 a^{2} - 4 a b$
24683	Solve the Function Operation	Given that f(x)=x^2-13x+30 and g(x)=x-3 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 30$ and $g (x) = x - 3$ ; find $(f \div g) (x)$ and express the result in standard form.
24684	Find the Derivative - d/dx	(cos(-10x))	$(\cos (- 10 x))$
24685	Find the Domain	f(x) = square root of x+a	$f (x) = \sqrt{x + a}$
24686	Convert from Degrees to Radians	10deg	$10$ degrees
24687	Solve for x	sin(x)=1+cos(x)	$\sin (x) = 1 + \cos (x)$
24688	Solve the System of Inequalities	y>1/5x+3 y>=-3/5x-1	$y > \frac{1}{5} x + 3$ $y \geq - \frac{3}{5} x - 1$
24689	Find dy/dx	-4y-1-y^3=-3x^2-y^2	$- 4 y - 1 - y^{3} = - 3 x^{2} - y^{2}$
24690	Solve for y	y/4-(3x)/4=1/2	$\frac{y}{4} - \frac{3 x}{4} = \frac{1}{2}$
24691	Solve for s	square root of s^2-1 = square root of 5s-5	$\sqrt{s^{2} - 1} = \sqrt{5 s - 5}$
24692	Find dy/dx	2+2x^2+y^2=-5x	$2 + 2 x^{2} + y^{2} = - 5 x$
24693	Find Where Increasing/Decreasing	f(x)=-2(1/2)^x+4	$f (x) = - 2 {(\frac{1}{2})}^{x} + 4$
24694	Find the Maximum/Minimum Value	g(x)=-x^4+3x	$g (x) = - x^{4} + 3 x$
24695	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-5x^4+7x^3-6x^2+9x+2	$h (x) = - 5 x^{4} + 7 x^{3} - 6 x^{2} + 9 x + 2$
24696	Solve for y	x=1/2y^2	$x = \frac{1}{2} y^{2}$
24697	Add	(4x)/9+7/3	$\frac{4 x}{9} + \frac{7}{3}$
24698	Solve for x	square root of 4x-4-2<4	$\sqrt{4 x - 4} - 2 < 4$
24699	Multiply	(4x^2y+3xy-x^2)(-x^3y^2)	$(4 x^{2} y + 3 x y - x^{2}) (- x^{3} y^{2})$
24700	Add	(3x-6)/(24x)+(3x+6)/(24x)	$\frac{3 x - 6}{24 x} + \frac{3 x + 6}{24 x}$