Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
43001	Solve for x	e^(3x)=3-4x	$e^{3 x} = 3 - 4 x$
43002	Simplify the Radical Expression	(8 square root of 5)/(4 square root of 3)	$\frac{8 \sqrt{5}}{4 \sqrt{3}}$
43003	Graph	p(x):3x/2+3\|x-2\|<=3	$p (x) : 3 \frac{x}{2} + 3 \| x - 2 \| \leq 3$
43004	Simplify	4-(3x+(2x-(5y+2)))	$4 - (3 x + (2 x - (5 y + 2)))$
43005	Simplify the Radical Expression	square root of 3^5	$\sqrt{3^{5}}$
43006	Simplify	( square root of 10* square root of 21)/( square root of 15)	$\frac{\sqrt{10} \cdot \sqrt{21}}{\sqrt{15}}$
43007	Find the Antiderivative	6x-9+3x^5	$6 x - 9 + 3 x^{5}$
43008	Find the Roots (Zeros)	sin(x)	$\sin (x)$
43009	Simplify	(-9-13x+3x^3)-(-x+4x^3-9)	$(- 9 - 13 x + 3 x^{3}) - (- x + 4 x^{3} - 9)$
43010	Add	(5x^2+8x-10)+(-12-x+3x^2)	$(5 x^{2} + 8 x - 10) + (- 12 - x + 3 x^{2})$
43011	Find the Roots (Zeros)	3/x=3/(4x)+3	$\frac{3}{x} = \frac{3}{4 x} + 3$
43012	Solve the Inequality for x	1/8x^2+x<=-2	$\frac{1}{8} x^{2} + x \leq - 2$
43013	Find the Domain and Range	f(x)=(-x)^(1/2)	$f (x) = {(- x)}^{\frac{1}{2}}$
43014	Graph	x<=-2 or x>4	$x \leq - 2$ or $x > 4$
43015	Write in Exponential Form	cube root of 6^5* fourth root of 6^5	$\sqrt[3]{6^{5}} \cdot \sqrt[4]{6^{5}}$
43016	Solve for x	(x^5*x^3)/(x^4)=(x^8)/(x^4)	$\frac{x^{5} \cdot x^{3}}{x^{4}} = \frac{x^{8}}{x^{4}}$
43017	Evaluate	(7-3)* square root of 25*2-10	$(7 - 3) \cdot \sqrt{25} \cdot 2 - 10$
43018	Simplify	(2-x square root of 5)^2	${(2 - x \sqrt{5})}^{2}$
43019	Subtract	(2x^2+7x)+(-x^2+10x+3)	$(2 x^{2} + 7 x) + (- x^{2} + 10 x + 3)$
43020	Integrate Using u-Substitution	integral of cos(7x) with respect to x , u=7x	$\int \cos (7 x) d x$ , $u = 7 x$
43021	Find the Exact Value	arccos(cos(-pi/7))	$\arccos (\cos (- \frac{π}{7}))$
43022	Simplify	(- square root of 8m)( square root of 6m)	$(- \sqrt{8 m}) (\sqrt{6 m})$
43023	Simplify	(2 square root of -3-4)(3 square root of -2+3)	$(2 \sqrt{- 3} - 4) (3 \sqrt{- 2} + 3)$
43024	Graph	10>=x/3+6	$10 \geq \frac{x}{3} + 6$
43025	Graph	y<=3+1/2x	$y \leq 3 + \frac{1}{2} x$
43026	Find the GCF	340 and 304	$340$ and $304$
43027	Round to the Nearest Hundredth	17/22	$\frac{17}{22}$
43028	Simplify	(3 square root of 5)/( square root of 20)	$\frac{3 \sqrt{5}}{\sqrt{20}}$
43029	Graph	x^3+x+3	$x^{3} + x + 3$
43030	Solve for x	square root of x+3+ square root of x-3=3	$\sqrt{x + 3} + \sqrt{x - 3} = 3$
43031	Find f(g(x))	f(x)=3x^2-4 g(x)=x^2-8x+4	$f (x) = 3 x^{2} - 4$ $g (x) = x^{2} - 8 x + 4$
43032	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-5x-10+2x^3+4x^2	$f (x) = - 5 x - 10 + 2 x^{3} + 4 x^{2}$
43033	Solve for x	237*2x/2=79	$237 \cdot 2 \frac{x}{2} = 79$
43034	Solve for x	x^x=2^64	$x^{x} = 2^{64}$
43035	Find the Reference Angle	sec(585 degrees )	$\sec (585 °)$
43036	Find the Exact Value	sec(-pi/3)^2	$\sec^{2} (- \frac{π}{3})$
43037	Solve for a	3(-9a-21)+11=8(a-1)-9	$3 (- 9 a - 21) + 11 = 8 (a - 1) - 9$
43038	Solve for n	-3(4-2n)=-3(-1-3n)	$- 3 (4 - 2 n) = - 3 (- 1 - 3 n)$
43039	Combine Like Terms	-3(2+6x)+7x	$- 3 (2 + 6 x) + 7 x$
43040	Find the Inverse	f(x)=((x-9)^(1/5)+5)/4	$f (x) = \frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$
43041	Graph	F(x)=(1/2)^(x-1)	$F (x) = {(\frac{1}{2})}^{x - 1}$
43042	Find the Exact Value	sin(30 degrees )cos(45 degrees )+sin(45 degrees )cos(30 degrees )	$\sin (30 °) \cos (45 °) + \sin (45 °) \cos (30 °)$
43043	Graph	y<=-x+2 y<1/2x-1	$y \leq - x + 2$ $y < \frac{1}{2} x - 1$
43044	Graph	f(x)=(-5x-5)/(3x^2+2x-1)	$f (x) = \frac{- 5 x - 5}{3 x^{2} + 2 x - 1}$
43045	Add	(x^2+3x-5)+(-3x-4)	$(x^{2} + 3 x - 5) + (- 3 x - 4)$
43046	Solve the System of Inequalities	-5x+9<-6 or -3x+1>=7	$- 5 x + 9 < - 6$ or $- 3 x + 1 \geq 7$
43047	Find the x and y Intercepts	y+2=-3/2(x-4)	$y + 2 = - \frac{3}{2} (x - 4)$
43048	Evaluate	3+2^-2	$3 + 2^{- 2}$
43049	Multiply	a^4(b^4a^6)	$a^{4} (b^{4} a^{6})$
43050	Find dy/dx	y=arctan( square root of x-4)	$y = \arctan (\sqrt{x - 4})$
43051	Find the Asymptotes	f(x)=(x^3+x^2-6x)/(4x^2-4x-8)	$f (x) = \frac{x^{3} + x^{2} - 6 x}{4 x^{2} - 4 x - 8}$
43052	Write Using Positive Exponents	xy^-2	$x y^{- 2}$
43053	Simplify	( fourth root of 16x^4)/( square root of x)	$\frac{\sqrt[4]{16 x^{4}}}{\sqrt{x}}$
43054	Factor	(4x-3)^2+x2(4x-3)4	${(4 x - 3)}^{2} + x \cdot 2 (4 x - 3) \cdot 4$
43055	Write Using Positive Exponents	(20x^-3c)/((4x^4)^-5)	$\frac{20 x^{- 3} c}{{(4 x^{4})}^{- 5}}$
43056	Solve for r	(m_1v^2)/r=m_2g	$\frac{m_{1} v^{2}}{r} = m_{2} g$
43057	Simplify	(x^(1/2))/(4x^2)	$\frac{x^{\frac{1}{2}}}{4 x^{2}}$
43058	Find the Product	(3/4-5a)(9/16+15/4a+25a^2)	$(\frac{3}{4} - 5 a) (\frac{9}{16} + \frac{15}{4} a + 25 a^{2})$
43059	Simplify	(x^(1/2))^4 cube root of x^3	${(x^{\frac{1}{2}})}^{4} \sqrt[3]{x^{3}}$
43060	Write in Slope-Intercept Form	(3,0) and (-5,6)	$(3, 0)$ and $(- 5, 6)$
43061	Solve for x	(1/8)^(x-6)<4^(4x+5)	${(\frac{1}{8})}^{x - 6} < 4^{4 x + 5}$
43062	Solve for x	1/x-1=0	$\frac{1}{x} - 1 = 0$
43063	Find the Asymptotes	f(x)=-x/((x-2)^2)	$f (x) = - \frac{x}{{(x - 2)}^{2}}$
43064	Simplify	square root of (6y^5)/(24y)	$\sqrt{\frac{6 y^{5}}{24 y}}$
43065	Simplify	(xy^-4)/(x^3y^-1)	$\frac{x y^{- 4}}{x^{3} y^{- 1}}$
43066	Factor	4cd-25c^2-0.16d^2	$4 c d - 25 c^{2} - 0.16 d^{2}$
43067	Divide	(x^3+6x^2+11x+6) by (x+2)	$(x^{3} + 6 x^{2} + 11 x + 6)$ by $(x + 2)$
43068	Find the Excluded Values	(x^2-9)/(2x^2-6x)	$\frac{x^{2} - 9}{2 x^{2} - 6 x}$
43069	Find the Integral	(2x-1)(3x+1)dx	$(2 x - 1) (3 x + 1) d x$
43070	Simplify	9/(6- square root of 8)	$\frac{9}{6 - \sqrt{8}}$
43071	Simplify	((3a^2+6a+3)/(a^2-3a-10))÷((12a^2-12)/(a^2-4))	$\frac{3 a^{2} + 6 a + 3}{a^{2} - 3 a - 10} \div \frac{12 a^{2} - 12}{a^{2} - 4}$
43072	Find the Excluded Values	1/(x-2)-5/(x+5)=7/(x^2+3x-10)	$\frac{1}{x - 2} - \frac{5}{x + 5} = \frac{7}{x^{2} + 3 x - 10}$
43073	Write in Standard Form	5/6x+2=7/8	$\frac{5}{6} x + 2 = \frac{7}{8}$
43074	Find the Domain	(c+6b)/(ac+2bc-6ab-3a^2)+(2b)/(a^2+2ab)-b/(ac-3a^2)	$\frac{(c + 6 b)}{a c + 2 b c - 6 a b - 3 a^{2}} + \frac{2 b}{a^{2} + 2 a b} - \frac{b}{a c - 3 a^{2}}$
43075	Evaluate	(6^0)/(6^4*6^6)	$\frac{6^{0}}{6^{4} \cdot 6^{6}}$
43076	Solve for x	60+X=3x-70	$60 + X = 3 x - 70$
43077	Solve the Rational Equation for x	-5 = square root of 3x-7	$- 5 = \sqrt{3 x - 7}$
43078	Graph	Graph y>=-3 square root of x-1+2	Graph $y \geq - 3 \sqrt{x - 1} + 2$
43079	Find the Derivative - d/dx	sin(2x-pi/3)	$\sin (2 x - \frac{π}{3})$
43080	Multiply	((x+1)/x)(2+1/(x+1))	$(\frac{x + 1}{x}) (2 + \frac{1}{x + 1})$
43081	Find the Roots (Zeros)	y=(x-6)(x+8)(2x+1)	$y = (x - 6) (x + 8) (2 x + 1)$
43082	Solve for a	The diagram below shows the curve y=x^3-ax^2 ; where a is a positive constant. Find the area of the shaded region in terms of a	The diagram below shows the curve $y = x^{3} - a x^{2}$ ; where a is a positive constant. Find the area of the shaded region in terms of $a$
43083	Find the End Behavior	f(x)=5x-x^2-2x^6+3	$f (x) = 5 x - x^{2} - 2 x^{6} + 3$
43084	Simplify	e^(-1/2)	$e^{- \frac{1}{2}}$
43085	Combine Like Terms	(4c-11)-(4c+11)	$(4 c - 11) - (4 c + 11)$
43086	Simplify	(3x^4+9x^3-7x+15)+(-6x^4-8x^2+5x-3)	$(3 x^{4} + 9 x^{3} - 7 x + 15) + (- 6 x^{4} - 8 x^{2} + 5 x - 3)$
43087	Convert to Radical Form	-5ab3/4	$- 5 a b \frac{3}{4}$
43088	Simplify	7x^3+6+1-4-x+x^3+3x	$7 x^{3} + 6 + 1 - 4 - x + x^{3} + 3 x$
43089	Solve for t	1000=-16t^2+1800	$1000 = - 16 t^{2} + 1800$
43090	Simplify	6y+7-2(2x+y+1)	$6 y + 7 - 2 (2 x + y + 1)$
43091	Factor	Factor x^2+7x+12	Factor $x^{2} + 7 x + 12$
43092	Simplify	1/((5x)^(-3/2))	$\frac{1}{{(5 x)}^{- \frac{3}{2}}}$
43093	Solve for x in Radians	2sin(x)^2+cos(x)-1=0	$2 \sin^{2} (x) + \cos (x) - 1 = 0$
43094	Graph	x^2+y^2<=49 x^2-4y^2>16	$x^{2} + y^{2} \leq 49$ $x^{2} - 4 y^{2} > 16$
43095	Find the Excluded Values	1/(x-1)+2=5/(x-1)	$\frac{1}{x - 1} + 2 = \frac{5}{x - 1}$
43096	Simplify	((6ab^-4)/(b^3))^2	${(\frac{6 a b^{- 4}}{b^{3}})}^{2}$
43097	Evaluate	x^2-36=0	$x^{2} - 36 = 0$
43098	Solve the Inequality for x	1/3(4x+3)>=2/3x+2	$\frac{1}{3} (4 x + 3) \geq \frac{2}{3} x + 2$
43099	Write in Standard Form	2/3m^4-5/6m^6	$\frac{2}{3} m^{4} - \frac{5}{6} m^{6}$
43100	Evaluate	2x^2-6x-8=0	$2 x^{2} - 6 x - 8 = 0$