Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
47901	Find the Degree	x^3-x=0	$x^{3} - x = 0$
47902	Evaluate	(6-7i)^-1	${(6 - 7 i)}^{- 1}$
47903	Evaluate	cot(x)(1/(sec(x))+1/(csc(x)))	$\cot (x) (\frac{1}{\sec (x)} + \frac{1}{\csc (x)})$
47904	Find the Antiderivative	-2/( square root of x)	$- \frac{2}{\sqrt{x}}$
47905	Simplify	1/(-24/25)	$\frac{1}{- \frac{24}{25}}$
47906	Evaluate the Integral	integral from 0 to natural log of 2 of xe^(-x) with respect to x	$\int_{0}^{\ln (2)} x e^{- x} d x$
47907	Simplify	(3x^(7/2)y^-4)/( fourth root of 16x^2y^4)	$\frac{3 x^{\frac{7}{2}} y^{- 4}}{\sqrt[4]{16 x^{2} y^{4}}}$
47908	Simplify	(4xy-13x^2y+7)-(7x^2y^2+12xy^2-3x^2y+11)	$(4 x y - 13 x^{2} y + 7) - (7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11)$
47909	Find the Domain	(2x+1)/( square root of 5-x)	$\frac{2 x + 1}{\sqrt{5 - x}}$
47910	Evaluate	3n-5=-8(6+5n)	$3 n - 5 = - 8 (6 + 5 n)$
47911	Write with Rational (Fractional) Exponents	square root of 7* fifth root of 7^6	$\sqrt{7} \cdot \sqrt[5]{7^{6}}$
47912	Factor by Grouping	(x+4)^2-4y^5(x+4)+4y^10	${(x + 4)}^{2} - 4 y^{5} (x + 4) + 4 y^{10}$
47913	Find All Complex Solutions	square root of 3x+1=2+ square root of x+1	$\sqrt{3 x + 1} = 2 + \sqrt{x + 1}$
47914	Evaluate the Limit	limit as x approaches 0 of (tan(2x)^2)/(xsin(3x))	$lim_{x \to 0} \frac{\tan^{2} (2 x)}{x \sin (3 x)}$
47915	Simplify	square root of 2p*-4 square root of 3p^3	$\sqrt{2 p} \cdot - 4 \sqrt{3 p^{3}}$
47916	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^(-x)-1)/(3tan(2x)-2x^3)	$lim_{x \to 0} \frac{e^{- x} - 1}{3 \tan (2 x) - 2 x^{3}}$
47917	Simplify	(4 square root of 3)/(3 square root of 3)	$\frac{4 \sqrt{3}}{3 \sqrt{3}}$
47918	Simplify	pi*8^2	$π \cdot 8^{2}$
47919	Evaluate	(4^-5)/(4^7)*4^-7	$\frac{4^{- 5}}{4^{7}} \cdot 4^{- 7}$
47920	Write in Standard Form	x^2=2x+x(2x-4)+y	$x^{2} = 2 x + x (2 x - 4) + y$
47921	Simplify	((x^2-6x+9)/(5x))÷((x-3)/(x+3))	$\frac{x^{2} - 6 x + 9}{5 x} \div \frac{x - 3}{x + 3}$
47922	Solve for x	x^2=2x+x(2x-4)+y	$x^{2} = 2 x + x (2 x - 4) + y$
47923	Evaluate	3.6sin(70)	$3.6 \sin (70)$
47924	Simplify	3(x+y)^-1+x^-2	$3 {(x + y)}^{- 1} + x^{- 2}$
47925	Solve by Substitution	x-y=5 x=y+1	$x - y = 5$ $x = y + 1$
47926	Solve for y	1-y^2=y^2-1	$1 - y^{2} = y^{2} - 1$
47927	Find the Points of Intersection	y=2x+9 y=6-x	$y = 2 x + 9$ $y = 6 - x$
47928	Factor	5ac-2bd+bc-10ad	$5 a c - 2 b d + b c - 10 a d$
47929	Solve for b	(3b-2)/(b+1)=4-(b+2)/(b-1)	$\frac{3 b - 2}{b + 1} = 4 - \frac{b + 2}{b - 1}$
47930	Solve in Terms of the Arbitrary Variable x	2x+3y=3 ax+by=6	$2 x + 3 y = 3$ $a x + b y = 6$
47931	Factor	P(x)=x^3+3x^2-6x-8	$P (x) = x^{3} + 3 x^{2} - 6 x - 8$
47932	Rationalize the Denominator	(2x)/( cube root of x)	$\frac{2 x}{\sqrt[3]{x}}$
47933	Simplify the Radical Expression	square root of 2+ square root of 12	$\sqrt{2 + \sqrt{12}}$
47934	Find the Vertex	x^2=y	$x^{2} = y$
47935	Solve the Function Operation	x^3-6x^2+5x+12=0 , 4	$x^{3} - 6 x^{2} + 5 x + 12 = 0$ , $4$
47936	Solve the System of Inequalities	7x-9y<5 -2x+4y>5	$7 x - 9 y < 5$ $- 2 x + 4 y > 5$
47937	Simplify	(2x-10y+10z)-(6x+10z)	$(2 x - 10 y + 10 z) - (6 x + 10 z)$
47938	Divide Using Long Polynomial Division	(x^4-2x^3-8x^2+22x+6)/(x^2-6)	$\frac{x^{4} - 2 x^{3} - 8 x^{2} + 22 x + 6}{x^{2} - 6}$
47939	Solve the Inequality for Z	84>=-7(Z-9)	$84 \geq - 7 (Z - 9)$
47940	Find Where Increasing/Decreasing	f(x)=-x^4-9x^3-24x^2-16x	$f (x) = - x^{4} - 9 x^{3} - 24 x^{2} - 16 x$
47941	Simplify	((p^-2)^0)/(5p^-4)	$\frac{{(p^{- 2})}^{0}}{5 p^{- 4}}$
47942	Find the x and y Intercepts	y=(x-1)(x^2-5x+6)	$y = (x - 1) (x^{2} - 5 x + 6)$
47943	Evaluate	5(3-2x)>=10	$5 (3 - 2 x) \geq 10$
47944	Write in Exponential Form	log base 4y of 128=x	$\log_{4 y} (128) = x$
47945	Solve for x	7/(x+1)=(2x+4)/(3x-3)	$\frac{7}{x + 1} = \frac{2 x + 4}{3 x - 3}$
47946	Graph	y=1/2 square root of 4-x+4	$y = \frac{1}{2} \sqrt{4 - x} + 4$
47947	Find the Domain	h(x) = square root of (x+2)/(x^2-5x)	$h (x) = \sqrt{\frac{x + 2}{x^{2} - 5 x}}$
47948	Solve the Inequality for y	2<-y/5	$2 < - \frac{y}{5}$
47949	Simplify	(5y^3)/( square root of 12y^6)	$\frac{5 y^{3}}{\sqrt{12 y^{6}}}$
47950	Multiply	1/2157	$\frac{1}{2} \cdot 15 \cdot 7$
47951	Simplify	(-2x^3)/(-3x^4)	$\frac{- 2 x^{3}}{- 3 x^{4}}$
47952	Solve the Inequality for y	-2y<=4x+2	$- 2 y \leq 4 x + 2$
47953	Solve the Inequality for x	e^x>0	$e^{x} > 0$
47954	Find the Slope of a Perpendicular Line	6x=3y-9	$6 x = 3 y - 9$
47955	Solve for a	2(4a-12)+3a=6a+1	$2 (4 a - 12) + 3 a = 6 a + 1$
47956	Solve by Substitution	x=5-y x-y=3	$x = 5 - y$ $x - y = 3$
47957	Simplify	1x-2x	$1 x - 2 x$
47958	Divide	((x^2-6x+8)/(3x-12))÷((x^2-4)/(x^2+5x+6))	$\frac{x^{2} - 6 x + 8}{3 x - 12} \div \frac{x^{2} - 4}{x^{2} + 5 x + 6}$
47959	Find the GCF	xy^3 , x^2y^2	$x y^{3}$ , $x^{2} y^{2}$
47960	Solve for x	27<=7x+6	$27 \leq 7 x + 6$
47961	Solve the Function Operation	f(x)=(x+9)/(x+4) , (f(x)-f(1))/(x-1)	$f (x) = \frac{x + 9}{x + 4}$ , $\frac{f (x) - f (1)}{x - 1}$
47962	Solve for x	x/(x+1)-(x-1)/x=1/20	$\frac{x}{x + 1} - \frac{x - 1}{x} = \frac{1}{20}$
47963	Solve the Inequality for x	2x<3x+2<=x+6	$2 x < 3 x + 2 \leq x + 6$
47964	Solve for w	-62=8w-12w-18	$- 62 = 8 w - 12 w - 18$
47965	Integrate Using u-Substitution	integral from 0 to 2 of square root of 4-x^2 with respect to x	$\int_{0}^{2} \sqrt{4 - x^{2}} d x$
47966	Evaluate the Integral	integral from 0 to a^(1/2) of x^3 square root of a^2-x^4 with respect to x	$\int_{0}^{a^{\frac{1}{2}}} x^{3} \sqrt{a^{2} - x^{4}} d x$
47967	Multiply	(5a+3b)(4a^-1-2b^-1)	$(5 a + 3 b) (4 a^{- 1} - 2 b^{- 1})$
47968	Solve for n	cube root of 4n-8-4=0	$\sqrt[3]{4 n - 8} - 4 = 0$
47969	Simplify	square root of cube root of y^4	$\sqrt{\sqrt[3]{y^{4}}}$
47970	Simplify	3/4+ square root of 64	$\frac{3}{4} + \sqrt{64}$
47971	Evaluate	(14x^4y^6)/(7x^8y^2)	$\frac{14 x^{4} y^{6}}{7 x^{8} y^{2}}$
47972	Graph	p(x)=5x(x+1)(x-7)(x-10)	$p (x) = 5 x (x + 1) (x - 7) (x - 10)$
47973	Solve the System of Equations	y=x^2 2y+6=2(x+3)	$y = x^{2}$ $2 y + 6 = 2 (x + 3)$
47974	Solve for x	5(3-2x)>=10	$5 (3 - 2 x) \geq 10$
47975	Simplify	( cube root of 9)÷( square root of 3)	$\sqrt[3]{9} \div \sqrt{3}$
47976	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-2) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(2, - 2)$ and has a slope of $- \frac{1}{2}$ ?
47977	Evaluate	80/(cos(60))	$\frac{80}{\cos (60)}$
47978	Solve for x	xy^2+x^2y-6x-3=0	$x y^{2} + x^{2} y - 6 x - 3 = 0$
47979	Find All Complex Solutions	x-3 = square root of 19-3x	$x - 3 = \sqrt{19 - 3 x}$
47980	Evaluate	87e^(0.3x)=5918	$87 e^{0.3 x} = 5918$
47981	Solve the System of Equations	x=1 2x+y=4	$x = 1$ $2 x + y = 4$
47982	Factor	a^2-xy-ax+ay	$a^{2} - x y - a x + a y$
47983	Factor by Grouping	9xz^3+18yz^2+24z^2	$9 x z^{3} + 18 y z^{2} + 24 z^{2}$
47984	Find the Derivative - d/dx	-1/(2 square root of x)	$- \frac{1}{2 \sqrt{x}}$
47985	Solve for x	-1/2x^2+5x=8	$- \frac{1}{2} x^{2} + 5 x = 8$
47986	Evaluate	1/2( log base 2 of 4+ log base 2 of 16)- log base 2 of 2	$\frac{1}{2} (\log_{2} (4) + \log_{2} (16)) - \log_{2} (2)$
47987	Solve the System of Equations	y=-2x+7 and y=5x-7	$y = - 2 x + 7$ and $y = 5 x - 7$
47988	Simplify	(-5/7)(-21/10)	$(- \frac{5}{7}) (- \frac{21}{10})$
47989	Graph	y=x\|x\|+\|x\|-5x	$y = x \| x \| + \| x \| - 5 x$
47990	Graph	x^2-18x+81<=0	$x^{2} - 18 x + 81 \leq 0$
47991	Graph	f(x)=x^3 g(x)=x^3-4	$f (x) = x^{3}$ $g (x) = x^{3} - 4$
47992	Find dy/dx	y=-5(2x+3)^3	$y = - 5 {(2 x + 3)}^{3}$
47993	Graph	y=-4sec(pix)+2	$y = - 4 \sec (π x) + 2$
47994	Find the Inverse	f(x)=2x^2-8x+1 , x>=2	$f (x) = 2 x^{2} - 8 x + 1$ , $x \geq 2$
47995	Divide Using Long Polynomial Division	(2b^3-6b^2+8b)÷(2b^2+b+1)	$(2 b^{3} - 6 b^{2} + 8 b) \div (2 b^{2} + b + 1)$
47996	Write in Exponential Form	sixth root of 3^5* sixth root of 3^5	$\sqrt[6]{3^{5}} \cdot \sqrt[6]{3^{5}}$
47997	Find the Derivative - d/dx	1/((x^2+1)^(3/2))	$\frac{1}{{(x^{2} + 1)}^{\frac{3}{2}}}$
47998	Solve for x	3.5=(4+2x)/(0.5-x)	$3.5 = \frac{4 + 2 x}{0.5 - x}$
47999	Solve for x	\|x-2\|>=-4	$\| x - 2 \| \geq - 4$
48000	Simplify	( square root of 12- square root of 8)/( square root of 8- square root of 3)	$\frac{\sqrt{12} - \sqrt{8}}{\sqrt{8} - \sqrt{3}}$