Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
4901	Find the Antiderivative	x^x	$x^{x}$
4902	Simplify	square root of (45x^3y^4)/(16x^2)	$\sqrt{\frac{45 x^{3} y^{4}}{16 x^{2}}}$
4903	Find the Slope of the Tangent Line at (4,2)	y = square root of x , (4,2)	$y = \sqrt{x}$ , $(4, 2)$
4904	Evaluate	3^2-15÷5+(6+4)	$3^{2} - 15 \div 5 + (6 + 4)$
4905	Simplify	(3(x+3)(2x-1))/((x+2)(x+3))	$\frac{3 (x + 3) (2 x - 1)}{(x + 2) (x + 3)}$
4906	Simplify	(2a^3)(7b+a^2b-2a)	$(2 a^{3}) (7 b + a^{2} b - 2 a)$
4907	Simplify	square root of 10* square root of 10^3	$\sqrt{10} \cdot \sqrt{10^{3}}$
4908	Solve for p	3p+1-5=-16+6p	$3 p + 1 - 5 = - 16 + 6 p$
4909	Evaluate the Limit	limit as x approaches 2 of cube root of -x+4	$lim_{x \to 2} \sqrt[3]{- x + 4}$
4910	Evaluate	arcsin((-1)^-1)	$\arcsin ({(- 1)}^{- 1})$
4911	Simplify	(9/20d^5)(2d^-2)(4/3d^9)	$(\frac{9}{20} d^{5}) (2 d^{- 2}) (\frac{4}{3} d^{9})$
4912	Divide	(16n^3+32n^2+16n)÷8n^2	$(16 n^{3} + 32 n^{2} + 16 n) \div 8 n^{2}$
4913	Solve for A	5h^3=bA^2-G	$5 h^{3} = b A^{2} - G$
4914	Simplify	cube root of -6x^5* cube root of 18x^4	$\sqrt[3]{- 6 x^{5}} \cdot \sqrt[3]{18 x^{4}}$
4915	Simplify	cube root of 3x^2* cube root of x^2* cube root of 9x^3	$\sqrt[3]{3 x^{2}} \cdot \sqrt[3]{x^{2}} \cdot \sqrt[3]{9 x^{3}}$
4916	Simplify	6(4x^2-3x+2)+5x	$6 (4 x^{2} - 3 x + 2) + 5 x$
4917	Simplify	1+4.25n+3/2p-3+(-2p)+5/4n	$1 + 4.25 n + \frac{3}{2} p - 3 + (- 2 p) + \frac{5}{4} n$
4918	Simplify	(2^-25^0)/(2^35^-2)	$\frac{2^{- 2} \cdot 5^{0}}{2^{3} \cdot 5^{- 2}}$
4919	Simplify	(1-2x)/(2x+1)+((x^2+3x)/(4x^2-1))÷((3+x)/(4x+2))	$\frac{1 - 2 x}{2 x + 1} + \frac{x^{2} + 3 x}{4 x^{2} - 1} \div \frac{3 + x}{4 x + 2}$
4920	Find Amplitude, Period, and Phase Shift	y=-3/2sin(x/3+pi/6)+2	$y = - \frac{3}{2} \sin (\frac{x}{3} + \frac{π}{6}) + 2$
4921	Simplify	(3m^3-3m)/(6m^4)*(4m^5)/(m+1)	$\frac{3 m^{3} - 3 m}{6 m^{4}} \cdot \frac{4 m^{5}}{m + 1}$
4922	Solve for s	-2(1+8s)=-3(2s+4)	$- 2 (1 + 8 s) = - 3 (2 s + 4)$
4923	Evaluate	(r^2)/(2r^3)	$\frac{r^{2}}{2 r^{3}}$
4924	Evaluate the Integral	integral of 3u1/2 with respect to u	$\int 3 u \frac{1}{2} d u$
4925	Simplify	square root of 3-5 square root of 7+7 square root of 3-3 square root of 7	$\sqrt{3} - 5 \sqrt{7} + 7 \sqrt{3} - 3 \sqrt{7}$
4926	Write with Rational (Fractional) Exponents	cube root of 4+ fifth root of 2	$\sqrt[3]{4} + \sqrt[5]{2}$
4927	Simplify	( square root of 125x^6)/( square root of x)	$\frac{\sqrt{125 x^{6}}}{\sqrt{x}}$
4928	Simplify	4x^2(2x^2+x-5)-x(x^3+5x^2-3)+17	$4 x^{2} (2 x^{2} + x - 5) - x (x^{3} + 5 x^{2} - 3) + 17$
4929	Simplify	-7n^-4*5n^-2	$- 7 n^{- 4} \cdot 5 n^{- 2}$
4930	Solve the System of Equations	3a+b=225 b-a=25	$3 a + b = 225$ $b - a = 25$
4931	Simplify	square root of x^5y^5*3 square root of 2x^9y^12	$\sqrt{x^{5} y^{5}} \cdot 3 \sqrt{2 x^{9} y^{12}}$
4932	Evaluate the Integral	integral from negative infinity to 0 of (x*e^x)/((x+1)^2) with respect to x	$\int_{- \infty}^{0} \frac{x \cdot e^{x}}{{(x + 1)}^{2}} d x$
4933	Find the Derivative - d/dx	x^(2 square root of 3)	$x^{2 \sqrt{3}}$
4934	Simplify	Simplify (x+3)+(x+1)	Simplify $(x + 3) + (x + 1)$
4935	Rationalize the Denominator	(9x^3 square root of 12)/(8 square root of 20x)	$\frac{9 x^{3} \sqrt{12}}{8 \sqrt{20 x}}$
4936	Simplify	(y^5z^10)/(yz^7)	$\frac{y^{5} \cdot z^{10}}{y \cdot z^{7}}$
4937	Determine if Linear	-3x(x+2)=y	$- 3 x (x + 2) = y$
4938	Find All Complex Solutions	square root of x=7	$\sqrt{x} = 7$
4939	Divide	((y^4-16)/(y+2))÷((y^2+4)/5)	$\frac{y^{4} - 16}{y + 2} \div \frac{y^{2} + 4}{5}$
4940	Solve for n	(3n+2)^(1/3)+1=0	${(3 n + 2)}^{\frac{1}{3}} + 1 = 0$
4941	Find the Inverse	y=4^(x/2)	$y = 4^{\frac{x}{2}}$
4942	Find f(g(x))	f(x)=2x g(x)=-4x+5	$f (x) = 2 x$ $g (x) = - 4 x + 5$
4943	Write in Slope-Intercept Form	2x+y>=4	$2 x + y \geq 4$
4944	Simplify the Radical Expression	x square root of x^3	$x \sqrt{x^{3}}$
4945	Evaluate	(x^-1)/(4x^4)	$\frac{x^{- 1}}{4 x^{4}}$
4946	Simplify	4^(-2/3)	$4^{\frac{- 2}{3}}$
4947	Simplify	5 square root of 6+9 square root of 6-8 square root of 6+11 square root of 6	$5 \sqrt{6} + 9 \sqrt{6} - 8 \sqrt{6} + 11 \sqrt{6}$
4948	Simplify the Radical Expression	( square root of 2)^2	${(\sqrt{2})}^{2}$
4949	Solve for q	square root of q-21 = square root of q+7	$\sqrt{q - 21} = \sqrt{q} + 7$
4950	Evaluate the Integral	integral from -2 to 2 of \|x^2-4\| with respect to x	$\int_{- 2}^{2} \| x^{2} - 4 \| d x$
4951	Find g(f(x))	f(x)=4x^2+1 , g(x)=7x	$f (x) = 4 x^{2} + 1$ , $g (x) = 7 x$
4952	Write in Exponential Form	sixth root of 7^2	$\sqrt[6]{7^{2}}$
4953	Solve for a	z=x*y^a	$z = x \cdot y^{a}$
4954	Evaluate the Integral	integral of 4x(5^(x^2)) with respect to x	$\int 4 x (5^{x^{2}}) d x$
4955	Simplify	xi(i-7i)^2	$x i {(i - 7 i)}^{2}$
4956	Simplify	1/(2(x+7))*(10(x+7))/3	$\frac{1}{2 (x + 7)} \cdot \frac{10 (x + 7)}{3}$
4957	Find the LCM	2x^2-8x+8 and 3x^2+27x-30	$2 x^{2} - 8 x + 8$ and $3 x^{2} + 27 x - 30$
4958	Simplify	10m^4n(-2mn^3+3n)	$10 m^{4} n (- 2 m n^{3} + 3 n)$
4959	Solve for V	\|2+7V\|+11=27	$\| 2 + 7 V \| + 11 = 27$
4960	Solve the Inequality for t	-5/9t<25	$- \frac{5}{9} t < 25$
4961	Solve the System of Inequalities	5x-6y>42 3x+2y<=14	$5 x - 6 y > 42$ $3 x + 2 y \leq 14$
4962	Simplify the Radical Expression	sixth root of 2* square root of 2	$\sqrt[6]{2} \cdot \sqrt{2}$
4963	Find the x and y Intercepts	y=-x(x+6)(3x-4)	$y = - x (x + 6) (3 x - 4)$
4964	Simplify	(z/(z-1))÷(1/(3z-3))	$\frac{z}{z - 1} \div \frac{1}{3 z - 3}$
4965	Simplify	5/4+3/(8x)	$\frac{5}{4} + \frac{3}{8 x}$
4966	Find the Maximum/Minimum Value	y=3sin(2x-pi/2)+1	$y = 3 \sin (2 x - \frac{π}{2}) + 1$
4967	Simplify	-1/2(y-x)	$- \frac{1}{2} (y - x)$
4968	Simplify	(4+ square root of 2)/( square root of 2-3)	$\frac{4 + \sqrt{2}}{\sqrt{2} - 3}$
4969	Solve the Inequality for x	-2x^2+3x+4>=-1	$- 2 x^{2} + 3 x + 4 \geq - 1$
4970	Find the Antiderivative	1/(x(x+2))	$\frac{1}{x (x + 2)}$
4971	Find the Inverse	f^-1(x)=1/3x+5/3	$f^{- 1} (x) = \frac{1}{3} x + \frac{5}{3}$
4972	Solve for x	-0.25 square root of x-6<=-3	$- 0.25 \sqrt{x} - 6 \leq - 3$
4973	Simplify	2 square root of 20+ cube root of 16- square root of 45+ cube root of 54	$2 \sqrt{20} + \sqrt[3]{16} - \sqrt{45} + \sqrt[3]{54}$
4974	Simplify	(csc(x)-sec(x))^2+(csc(x)+sec(x))^2	${(\csc (x) - \sec (x))}^{2} + {(\csc (x) + \sec (x))}^{2}$
4975	Find the Antiderivative	f(x)=1/(sin(x)^2)	$f (x) = \frac{1}{\sin^{2} (x)}$
4976	Graph	y=3/5x+2 y=1/5x+4	$y = \frac{3}{5} x + 2$ $y = \frac{1}{5} x + 4$
4977	Graph	f(x)=1/2*e^(-x)-1	$f (x) = \frac{1}{2} \cdot e^{- x} - 1$
4978	Solve for f	9f-9(-f+4)=8+10+9f	$9 f - 9 (- f + 4) = 8 + 10 + 9 f$
4979	Simplify	(csc(theta)+cot(theta))(1-cos(theta))	$(\csc (θ) + \cot (θ)) (1 - \cos (θ))$
4980	Find the Roots (Zeros)	f(x) = log base 9 of 3x+2+ log base 9 of x-3	$f (x) = \log_{9} (3 x + 2) + \log_{9} (x - 3)$
4981	Write in Exponential Form	fourth root of 3^2	$\sqrt[4]{3^{2}}$
4982	Find the Domain	(11y+13)/(3y-3)+(15y+17)/(4-4y)	$\frac{11 y + 13}{3 y - 3} + \frac{15 y + 17}{4 - 4 y}$
4983	Solve for q	3q+4+9=-14	$3 q + 4 + 9 = - 14$
4984	Solve for t	7(t^2+5t-9)+t=t(7t-2)+13	$7 (t^{2} + 5 t - 9) + t = t (7 t - 2) + 13$
4985	Graph	P(x)=2-1/(2x+4)	$P (x) = 2 - \frac{1}{2 x + 4}$
4986	Evaluate the Integral	integral from 0 to 2 of [7/(sin(x)^2+cos(x)^2)-4e] with respect to x	$\int_{0}^{2} [\frac{7}{\sin^{2} (x) + \cos^{2} (x)} - 4 e] d x$
4987	Find the Coterminal Angle	-1400 degrees	$- 1400 °$
4988	Solve for x	square root of (5x+10)^2=-1	$\sqrt{{(5 x + 10)}^{2}} = - 1$
4989	Solve for x	(4x/2)(4x/5)=4^14	$(4 \frac{x}{2}) (4 \frac{x}{5}) = 4^{14}$
4990	Simplify	square root of 3 square root of 64	$\sqrt{3 \sqrt{64}}$
4991	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^2-4x^6-3x^3-8	$f (x) = - 2 x^{2} - 4 x^{6} - 3 x^{3} - 8$
4992	Find the Cosecant Given the Point	(-1, square root of 3)	$(- 1, \sqrt{3})$
4993	Simplify	(10+13)(2+7y)	$(10 + 13) (2 + 7 y)$
4994	Simplify	5 square root of 2xy^6*2 square root of 2x^3y	$5 \sqrt{2 x y^{6}} \cdot 2 \sqrt{2 x^{3} y}$
4995	Simplify	((4m^2-25n^2)/(m^3+8))÷((2m+5n)/(m^2-2m+4))	$\frac{4 m^{2} - 25 n^{2}}{m^{3} + 8} \div \frac{2 m + 5 n}{m^{2} - 2 m + 4}$
4996	Find the Roots (Zeros)	5+x^2=(x+1)(x+6)	$5 + x^{2} = (x + 1) (x + 6)$
4997	Simplify	(-a^2b^3)^2*(4a^3b^2)+9a^7b^8	${(- a^{2} b^{3})}^{2} \cdot (4 a^{3} b^{2}) + 9 a^{7} b^{8}$
4998	Evaluate	square root of (25x^9y^3)/(64x^6y^11)	$\sqrt{\frac{25 x^{9} y^{3}}{64 x^{6} y^{11}}}$
4999	Solve for w	square root of 5w+3 = square root of 4w+5	$\sqrt{5 w + 3} = \sqrt{4 w + 5}$
5000	Divide	(-6w^3z^4-3w^2z^5+4w+5z)÷(2w^2z)	$(- 6 w^{3} z^{4} - 3 w^{2} z^{5} + 4 w + 5 z) \div (2 w^{2} z)$