Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
3901	Solve for C	D=ABC	$D = A B C$
3902	Simplify	Subtract -3n^2 from -7n^2	Subtract $- 3 n^{2}$ from $- 7 n^{2}$
3903	Simplify	-3x+x^3-2x^2-4x^3-2x^2-4x	$- 3 x + x^{3} - 2 x^{2} - 4 x^{3} - 2 x^{2} - 4 x$
3904	Simplify	(-6-18x)/(6x+2)	$\frac{- 6 - 18 x}{6 x + 2}$
3905	Solve the Inequality for x	9^x>54	$9^{x} > 54$
3906	Solve for B	(6p+2)^2=36p^2+Bp+4	${(6 p + 2)}^{2} = 36 p^{2} + B p + 4$
3907	Evaluate	1÷(-( square root of 3)/2)	$1 \div (- \frac{\sqrt{3}}{2})$
3908	Solve for n	3.4e^(2-2n)-9=-4	$3.4 e^{2 - 2 n} - 9 = - 4$
3909	Find the Concavity	f(x)=x+3(x-1)^(1/3)	$f (x) = x + 3 {(x - 1)}^{\frac{1}{3}}$
3910	Simplify	((m^2-3m)/(8x^2))÷((3m)/(8x))	$\frac{m^{2} - 3 m}{8 x^{2}} \div \frac{3 m}{8 x}$
3911	Simplify	Subtract -2x from -8x	Subtract $- 2 x$ from $- 8 x$
3912	Simplify	(5+ square root of 12)^2	${(5 + \sqrt{12})}^{2}$
3913	Evaluate	(1/(512^(-1/3)))	$(\frac{1}{512^{- \frac{1}{3}}})$
3914	Evaluate	5*2^-2	$5 \cdot 2^{- 2}$
3915	Simplify	(2x^2+x-3)+(x-1)	$(2 x^{2} + x - 3) + (x - 1)$
3916	Solve for x	49^(x/4-1)=343^(x/3)	$49^{\frac{x}{4} - 1} = 343^{\frac{x}{3}}$
3917	Evaluate	-(16/81)^(3/4)	$- {(\frac{16}{81})}^{\frac{3}{4}}$
3918	Evaluate	2x^2+(4x-6x^2)+9-(6x+3)	$2 x^{2} + (4 x - 6 x^{2}) + 9 - (6 x + 3)$
3919	Simplify	x-(x-y)/2+(x+y)/4	$x - \frac{x - y}{2} + \frac{x + y}{4}$
3920	Write as a Single Logarithm	log base 4 of x^7- log base 4 of x^2+4* log base 4 of x^3	$\log_{4} (x^{7}) - \log_{4} (x^{2}) + 4 \cdot \log_{4} (x^{3})$
3921	Solve for x	(1/25)^(-16x-62)=5^(-2x^2-2)	${(\frac{1}{25})}^{- 16 x - 62} = 5^{- 2 x^{2} - 2}$
3922	Simplify	(6x^3+6x^2)/(2x^3-2x)	$\frac{6 x^{3} + 6 x^{2}}{2 x^{3} - 2 x}$
3923	Simplify	r/(r^2-4)+1/(r^2-6r+8)	$\frac{r}{r^{2} - 4} + \frac{1}{r^{2} - 6 r + 8}$
3924	Simplify	((x+2)-(y+1))((x+2)+(y+1))	$((x + 2) - (y + 1)) ((x + 2) + (y + 1))$
3925	Simplify	limit as x approaches 2 of (x^2+12x-28)/(x-2)	$lim_{x \to 2} \frac{x^{2} + 12 x - 28}{x - 2}$
3926	Find the Linearization at θ=0	f(theta)=cos(theta+pi/3) about theta=0	$f (θ) = \cos (θ + \frac{π}{3})$ about $θ = 0$
3927	Evaluate the Integral	integral from 0 to x of (1+2t+3t^2+4t^3) with respect to t	$\int_{0}^{x} (1 + 2 t + 3 t^{2} + 4 t^{3}) d t$
3928	Solve the Inequality for p	9.20p>=299	$9.2 p \geq 299$
3929	Find the Concavity	f(x)=x^5+5x^4	$f (x) = x^{5} + 5 x^{4}$
3930	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-7x^3-10x^2+8x^4	$f (x) = - 7 x^{3} - 10 x^{2} + 8 x^{4}$
3931	Find the Exact Value	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
3932	Solve for x	square root of 2x+2 = square root of 5x-4	$\sqrt{2 x} + 2 = \sqrt{5 x - 4}$
3933	Solve for n	-7-2.1n=-3.5n	$- 7 - 2.1 n = - 3.5 n$
3934	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-9x^2-5-6x^4	$f (x) = - 9 x^{2} - 5 - 6 x^{4}$
3935	Simplify	( cube root of 3* fourth root of 3)^12	${(\sqrt[3]{3} \cdot \sqrt[4]{3})}^{12}$
3936	Convert to Radical Form	a^-1.6	$a^{- 1.6}$
3937	Solve the Function Operation	f(x)=2x+4 if x<-2; x+4 if -2<=x<2; -(x-4)^2 if x>=2 Find f(2)	$f (x) = {\begin{cases} 2 x + 4 & x < - 2 \\ x + 4 & - 2 \leq x < 2 \\ - {(x - 4)}^{2} & x \geq 2 \end{cases}$ Find $f (2)$
3938	Simplify	(x^-1+y^-1)/(x^-2-y^-2)	$\frac{x^{- 1} + y^{- 1}}{x^{- 2} - y^{- 2}}$
3939	Simplify	((2g^3h^-2)^2)/((g^2h^0)^-3)	$\frac{{(2 g^{3} h^{- 2})}^{2}}{{(g^{2} h^{0})}^{- 3}}$
3940	Simplify	(2x+2y)/(x^2-2xy+y^2)*(x^2-xy)/(7y+7x)	$\frac{2 x + 2 y}{x^{2} - 2 x y + y^{2}} \cdot \frac{x^{2} - x y}{7 y + 7 x}$
3941	Simplify	(2x^2-9x+2)^2-4	${(2 x^{2} - 9 x + 2)}^{2} - 4$
3942	Find the Derivative - d/dx	(x-1/x)^2	${(x - \frac{1}{x})}^{2}$
3943	Simplify	( square root of x)^6*( square root of x)^-4	${(\sqrt{x})}^{6} \cdot {(\sqrt{x})}^{- 4}$
3944	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (1-sin(2x))^(1/(3x))	$lim_{x \to 0} {(1 - \sin (2 x))}^{\frac{1}{3 x}}$
3945	Simplify the Radical Expression	square root of 2*5 square root of 8	$\sqrt{2} \cdot 5 \sqrt{8}$
3946	Simplify	(3^-24^2)/(3^04^3)	$\frac{3^{- 2} \cdot 4^{2}}{3^{0} \cdot 4^{3}}$
3947	Solve for v	-3(4-2v)=6v-12	$- 3 (4 - 2 v) = 6 v - 12$
3948	Simplify	(r^-5+r^5)^0	${(r^{- 5} + r^{5})}^{0}$
3949	Simplify	( square root of 405x^10y^7)/( square root of 9x^4)	$\frac{\sqrt{405 x^{10} y^{7}}}{\sqrt{9 x^{4}}}$
3950	Simplify	(5 square root of 3+ square root of 15)(3 square root of 5- square root of 15)	$(5 \sqrt{3} + \sqrt{15}) (3 \sqrt{5} - \sqrt{15})$
3951	Write in Slope-Intercept Form	1/3x+2y=4/3	$\frac{1}{3} x + 2 y = \frac{4}{3}$
3952	Evaluate	f(x)=0.5^-3	$f (x) = {0.5}^{- 3}$
3953	Solve for x	square root of (5+x^2)^2=5+x^2	$\sqrt{{(5 + x^{2})}^{2}} = 5 + x^{2}$
3954	Find the Trig Value	cos(theta)=-5/13 and pi/2<theta<pi	$\cos (θ) = - \frac{5}{13}$ and $\frac{π}{2} < θ < π$
3955	Solve by Factoring	2x^4-4x^3=-2x^2	$2 x^{4} - 4 x^{3} = - 2 x^{2}$
3956	Solve for x	-2(3x-15)^(1/3)-4=2	$- 2 {(3 x - 15)}^{\frac{1}{3}} - 4 = 2$
3957	Simplify	(1-sin(theta)^2)tan(theta)csc(theta)	$(1 - \sin^{2} (θ)) \cdot \tan (θ) \cdot \csc (θ)$
3958	Solve for x	-sin(x)+cos(x)=0	$- \sin (x) + \cos (x) = 0$
3959	Simplify the Radical Expression	fourth root of 16/(x^14)	$\sqrt[4]{\frac{16}{x^{14}}}$
3960	Evaluate	2(n-1)+4n=2(3n-1)	$2 (n - 1) + 4 n = 2 (3 n - 1)$
3961	Find the Volume	y=xe^(x^2) , y=-2x , x=1 , x=0	$y = x e^{x^{2}}$ , $y = - 2 x$ , $x = 1$ , $x = 0$
3962	Solve the Rational Equation for n	fourth root of n+2=3	$\sqrt[4]{n + 2} = 3$
3963	Simplify	(7 square root of 2+x)(7 square root of 2-x)	$(7 \sqrt{2} + x) (7 \sqrt{2} - x)$
3964	Simplify	2/11z-5/11z+4-1/11z-8	$\frac{2}{11} z - \frac{5}{11} z + 4 - \frac{1}{11} z - 8$
3965	Simplify	-( cube root of 3)/( cube root of 5)	$- \frac{\sqrt[3]{3}}{\sqrt[3]{5}}$
3966	Find the Holes in the Graph	f(x)=(x^2-x-6)/x	$f (x) = \frac{x^{2} - x - 6}{x}$
3967	Simplify	(x/(2x-8))÷(5/(3x-12))	$\frac{x}{2 x - 8} \div \frac{5}{3 x - 12}$
3968	Divide Using Synthetic Division	(2x^2+13x-8)÷(x-1/2)	$(2 x^{2} + 13 x - 8) \div (x - \frac{1}{2})$
3969	Divide	( square root of 2)÷( square root of 3)	$\sqrt{2} \div \sqrt{3}$
3970	Simplify	11+(-3)-1/8j-3/8j+7	$11 + (- 3) - \frac{1}{8} j - \frac{3}{8} j + 7$
3971	Graph	y=7/4x-3 y=x	$y = \frac{7}{4} x - 3$ $y = x$
3972	Simplify	(x^2)/( cube root of x)	$\frac{x^{2}}{\sqrt[3]{x}}$
3973	Simplify the Radical Expression	fourth root of 256(x^2-1)^12	$\sqrt[4]{256 {(x^{2} - 1)}^{12}}$
3974	Find the Antiderivative	(x^4+2)/(x^2)	$\frac{x^{4} + 2}{x^{2}}$
3975	Factor	y=x^4+x^3-7x^2-x+6	$y = x^{4} + x^{3} - 7 x^{2} - x + 6$
3976	Graph	(1-x)y'=y^2	$(1 - x) y' = y^{2}$
3977	Write in Slope-Intercept Form	2x+y>-8	$2 x + y > - 8$
3978	Simplify	(s/(r^2))^(-3/4)	${(\frac{s}{r^{2}})}^{- \frac{3}{4}}$
3979	Simplify	a^3*(-a^2b)^4	$a^{3} \cdot {(- a^{2} b)}^{4}$
3980	Evaluate the Integral	integral from 0 to square root of 3 of 6x square root of 1+x^2 with respect to x	$\int_{0}^{\sqrt{3}} 6 x \sqrt{1 + x^{2}} d x$
3981	Simplify	35^2-105+1	$3 \cdot 5^{2} - 10 \cdot 5 + 1$
3982	Simplify	-3/(2 cube root of 3)	$- \frac{3}{2 \sqrt[3]{3}}$
3983	Find dy/dx	x^2y^2-2xy+x^2=1	$x^{2} y^{2} - 2 x y + x^{2} = 1$
3984	Solve for a	2÷a=(5/2)÷(5/4)	$2 \div a = (\frac{5}{2}) \div (\frac{5}{4})$
3985	Simplify	2/x+(x-1)/(x-5)	$\frac{2}{x} + \frac{x - 1}{x - 5}$
3986	Expand the Logarithmic Expression	log of ( square root of 9a^16)/(b^2)	$\log (\frac{\sqrt{9 a^{16}}}{b^{2}})$
3987	Write in Standard Form	y=-x(x+3)(x-3)	$y = - x (x + 3) (x - 3)$
3988	Solve for x	5(2x-1)-3x=5x+9	$5 (2 x - 1) - 3 x = 5 x + 9$
3989	Simplify	(4p^7)/(2p^3*p^2)	$\frac{4 p^{7}}{2 p^{3} \cdot p^{2}}$
3990	Find the Domain	16/(x-4)-(x^2)/(x-4)	$\frac{16}{x - 4} - \frac{x^{2}}{x - 4}$
3991	Solve the Inequality for x	1<\|x+2\|<3	$1 < \| x + 2 \| < 3$
3992	Find the Exact Value	2cos((5pi)/3)-sin((5pi)/2)	$2 \cos (\frac{5 π}{3}) - \sin (\frac{5 π}{2})$
3993	Find the Inverse	y=(3-x)/(x+2)	$y = \frac{3 - x}{x + 2}$
3994	Simplify	((4r^3)/(2r^5))	$(\frac{4 r^{3}}{2 r^{5}})$
3995	Simplify	square root of a^3+2a^2+a	$\sqrt{a^{3} + 2 a^{2} + a}$
3996	Solve for x	(1/2)^x=2^(x+3)	${(\frac{1}{2})}^{x} = 2^{x + 3}$
3997	Simplify	4/(x-2)+11/(2(x-2))	$\frac{4}{x - 2} + \frac{11}{2 (x - 2)}$
3998	Simplify	3 square root of 4x- square root of 9x+5 square root of 27- square root of x	$3 \sqrt{4 x} - \sqrt{9 x} + 5 \sqrt{27} - \sqrt{x}$
3999	Solve for y	square root of y=3 square root of 5	$\sqrt{y} = 3 \sqrt{5}$
4000	Simplify	cube root of (108x^9y^10)/(2xy^3)	$\sqrt[3]{\frac{108 x^{9} y^{10}}{2 x y^{3}}}$