Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
22101	Evaluate	cos(45 degrees )^2	$\cos^{2} (45 °)$
22102	Solve the Inequality for x	(x+3)^2(x-2)(x+5)>=0	${(x + 3)}^{2} (x - 2) (x + 5) \geq 0$
22103	Find the Domain and Range	(x^2)/(x-1)	$\frac{x^{2}}{x - 1}$
22104	Solve for x	natural log of x^2-x+17=3/4	$\ln (x^{2} - x + 17) = \frac{3}{4}$
22105	Convert to a Decimal	-9pirad	$- 9 π$ radians
22106	Solve for y	-20y+15=2-16y+11	$- 20 y + 15 = 2 - 16 y + 11$
22107	Divide Using Long Polynomial Division	(12x^3-9x^2+x+1)/(4x+1)	$\frac{12 x^{3} - 9 x^{2} + x + 1}{4 x + 1}$
22108	Evaluate	(2(5-3))^3-4^2	${(2 (5 - 3))}^{3} - 4^{2}$
22109	Evaluate	1/2 log base 5 of 625	$\frac{1}{2} \log_{5} (625)$
22110	Find dy/dx	-2+4y^3-4x^3=0	$- 2 + 4 y^{3} - 4 x^{3} = 0$
22111	Simplify the Radical Expression	( sixth root of 64)/( cube root of 4)	$\frac{\sqrt[6]{64}}{\sqrt[3]{4}}$
22112	Evaluate the Limit	limit as x approaches negative infinity of 3xe^x	$lim_{x \to - \infty} 3 x e^{x}$
22113	Simplify	x/( fifth root of x^2)	$\frac{x}{\sqrt[5]{x^{2}}}$
22114	Find the Exact Value	7 1/2÷(4 1/2-5 1/8)	$7 \frac{1}{2} \div (4 \frac{1}{2} - 5 \frac{1}{8})$
22115	Evaluate the Limit	limit as x approaches 0 of (7+2x)/(cos(x))	$lim_{x \to 0} \frac{7 + 2 x}{\cos (x)}$
22116	Simplify the Radical Expression	(a^-2*8^7)^2	${(a^{- 2} \cdot 8^{7})}^{2}$
22117	Solve for x	square root of 5x+6+3 = square root of 3x+3+4	$\sqrt{5 x + 6} + 3 = \sqrt{3 x + 3} + 4$
22118	Solve for f	2f+2-f=6+3f-4f+6	$2 f + 2 - f = 6 + 3 f - 4 f + 6$
22119	Simplify	(4y+3)(4y-3z)^2	$(4 y + 3) {(4 y - 3 z)}^{2}$
22120	Evaluate	square root of x+75 = square root of x-5	$\sqrt{x + 75} = \sqrt{x} - 5$
22121	Write the Fraction in Simplest Form	(6c^7u^-8)/((-3u^-2)^2)	$\frac{6 c^{7} u^{- 8}}{{(- 3 u^{- 2})}^{2}}$
22122	Simplify	i^123i^22i^8	$i^{12} \cdot 3 i^{2} \cdot 2 i^{8}$
22123	Simplify	8(5-3i)+i(3+2i)	$8 (5 - 3 i) + i (3 + 2 i)$
22124	Convert to a Decimal	340deg	$340$ degrees
22125	Simplify	0.5(8*10^5)	$0.5 (8 \times 10^{5})$
22126	Factor	x^9+8x^3=(x^3)^3+(2x)^3	$x^{9} + 8 x^{3} = {(x^{3})}^{3} + {(2 x)}^{3}$
22127	Solve using Gaussian Elimination	3x_1-2x_2=28 2x_1+3x_2=-3	$3 x_{1} - 2 x_{2} = 28$ $2 x_{1} + 3 x_{2} = - 3$
22128	Simplify	square root of (x^14)/3	$\sqrt{\frac{x^{14}}{3}}$
22129	Find dy/dx	-y^3+5-y^2+y=2x^3	$- y^{3} + 5 - y^{2} + y = 2 x^{3}$
22130	Evaluate	1/x=3/(x+2)-2/(x-3)	$\frac{1}{x} = \frac{3}{x + 2} - \frac{2}{x - 3}$
22131	Solve for n	cube root of n+8-6=-3	$\sqrt[3]{n + 8} - 6 = - 3$
22132	Solve for x	(5+8x)^(1/3)-2=0	${(5 + 8 x)}^{\frac{1}{3}} - 2 = 0$
22133	Find the Average Rate of Change	table[[x,y],[0,7],[4,12],[8,17],[12,22]]	$\begin{array}{c} x & y \\ 0 & 7 \\ 4 & 12 \\ 8 & 17 \\ 12 & 22 \end{array}$
22134	Find the Antiderivative	(cos(x))/((2+sin(x))^2)	$\frac{\cos (x)}{{(2 + \sin (x))}^{2}}$
22135	Solve for k	-2k>18	$- 2 k > 18$
22136	Simplify	3/5-7/4+1/2	$\frac{3}{5} - \frac{7}{4} + \frac{1}{2}$
22137	Simplify the Radical Expression	(3- square root of 2)(3+ square root of 2)	$(3 - \sqrt{2}) (3 + \sqrt{2})$
22138	Simplify	sin(y)sec(pi/2-y)	$\sin (y) \sec (\frac{π}{2} - y)$
22139	Evaluate	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
22140	Simplify	(5 square root of 3+ square root of 2)(5 square root of 3- square root of 2)	$(5 \sqrt{3} + \sqrt{2}) (5 \sqrt{3} - \sqrt{2})$
22141	Solve the Rational Equation for m	4 square root of 5m-20=16	$4 \sqrt{5 m - 20} = 16$
22142	Find the Roots (Zeros)	P(x)=(x+2)(x-3)(3x-1)	$P (x) = (x + 2) (x - 3) (3 x - 1)$
22143	Solve the System of Inequalities	-4x<=-28 or x/4<1	$- 4 x \leq - 28$ or $\frac{x}{4} < 1$
22144	Simplify	((3x)/(x+2))÷((6x^2)/(x^2-x-6))	$\frac{3 x}{x + 2} \div \frac{6 x^{2}}{x^{2} - x - 6}$
22145	Solve the Inequality for z	z+3>2/3	$z + 3 > \frac{2}{3}$
22146	Solve for x	2/(x^2-6x+8)=1/(x-4)+2/(x-2)	$\frac{2}{x^{2} - 6 x + 8} = \frac{1}{x - 4} + \frac{2}{x - 2}$
22147	Simplify	(5b+6b^3)+(7b^3+8b)	$(5 b + 6 b^{3}) + (7 b^{3} + 8 b)$
22148	Solve the Inequality for m	35<7m	$35 < 7 m$
22149	Solve by Factoring	8x^2+5x-4=2x^2-8x+1	$8 x^{2} + 5 x - 4 = 2 x^{2} - 8 x + 1$
22150	Write the Fraction in Simplest Form	(-12y^-8)/((-3y^-1)^4)	$\frac{- 12 y^{- 8}}{{(- 3 y^{- 1})}^{4}}$
22151	Simplify	(x-3)/(x^2-64)+11/(x^2-64)	$\frac{(x - 3)}{x^{2} - 64} + \frac{11}{x^{2} - 64}$
22152	Graph	4x-2y=-8 y=2x+4	$4 x - 2 y = - 8$ $y = 2 x + 4$
22153	Find the Antiderivative	f(x)=3/(x^2)-2/(x^3)	$f (x) = \frac{3}{x^{2}} - \frac{2}{x^{3}}$
22154	Find All Complex Solutions	3\|5-x\|+2=29	$3 \| 5 - x \| + 2 = 29$
22155	Simplify	((10x-8)/(x+2))÷((25x^2-16)/(2x-4))	$\frac{10 x - 8}{x + 2} \div \frac{25 x^{2} - 16}{2 x - 4}$
22156	Add	7x^2y^2+12xy^2-3x^2y+11 4xy-13x^2y+7	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11$ $4 x y - 13 x^{2} y + 7$
22157	Evaluate	sin(x)(tan(x)+cot(x))	$\sin (x) (\tan (x) + \cot (x))$
22158	Simplify	5x2y^2-5x3xy-x^2y+6xy^2	$5 x \cdot 2 y^{2} - 5 x \cdot 3 x y - x^{2} y + 6 x y^{2}$
22159	Solve for x	3(x^2+2)=18	$3 (x^{2} + 2) = 18$
22160	Simplify	(2e^x)^2	${(2 e^{x})}^{2}$
22161	Evaluate	(-1-(-1))^2	${(- 1 - (- 1))}^{2}$
22162	Find dy/dx	-x^3=3y-y^2	$- x^{3} = 3 y - y^{2}$
22163	Convert to a Decimal	-390deg	$- 390$ degrees
22164	Multiply	(10b^2+70b)/(8b-24)*(8b-24)/(10b^2+40b)	$\frac{10 b^{2} + 70 b}{8 b - 24} \cdot \frac{8 b - 24}{10 b^{2} + 40 b}$
22165	Solve for x	-1/3(6x-21)=-5(x+1)	$- \frac{1}{3} (6 x - 21) = - 5 (x + 1)$
22166	Simplify	(x^-2)^2(3xy^5)^4	${(x^{- 2})}^{2} {(3 x y^{5})}^{4}$
22167	Simplify	(9-3x)/(18-6x)	$\frac{9 - 3 x}{18 - 6 x}$
22168	Solve the Inequality for x	4<=x/4+4	$4 \leq \frac{x}{4} + 4$
22169	Convert to a Decimal	400deg	$400$ degrees
22170	Simplify	(r/(r-5))÷((r^2)/(r^2-25))	$\frac{r}{r - 5} \div \frac{r^{2}}{r^{2} - 25}$
22171	Simplify	(16c^4d^4-24c^2d^2)/(4c^2d^2)	$\frac{16 c^{4} d^{4} - 24 c^{2} d^{2}}{4 c^{2} d^{2}}$
22172	Find dy/dx	-xy-4y^2+x-4=0	$- x y - 4 y^{2} + x - 4 = 0$
22173	Simplify	square root of 4x^2- square root of 16y^4	$\sqrt{4 x^{2}} - \sqrt{16 y^{4}}$
22174	Solve the System of Equations	y=3x^2+2 9x+y=-4	$y = 3 x^{2} + 2$ $9 x + y = - 4$
22175	Find the Secant Given the Point	(-1, square root of 2)	$(- 1, \sqrt{2})$
22176	Find dy/dx	y-2y^2=-x^3-y^3	$y - 2 y^{2} = - x^{3} - y^{3}$
22177	Simplify	(6(7+x)^(1/3)-x(7+x)^(-2/3))/((7+x)^(2/3))	$\frac{6 {(7 + x)}^{\frac{1}{3}} - x {(7 + x)}^{- \frac{2}{3}}}{{(7 + x)}^{\frac{2}{3}}}$
22178	Find the Domain and Range	f(x)=tan(x-pi/2)	$f (x) = \tan (x - \frac{π}{2})$
22179	Divide	(4x)/(9x^(1/2))	$\frac{4 x}{9 x^{\frac{1}{2}}}$
22180	Solve the System of Inequalities	y<=x-5 y<-1/2x-2	$y \leq x - 5$ $y < - \frac{1}{2} x - 2$
22181	Factor by Grouping	x^3-6x^2+9x	$x^{3} - 6 x^{2} + 9 x$
22182	Solve for x	1+ square root of x = square root of x^2+1	$1 + \sqrt{x} = \sqrt{x^{2} + 1}$
22183	Find the Derivative of the Integral	F(x) = integral from x to 0 of square root of t^2+1 with respect to t	$F (x) = \int_{x}^{0} \sqrt{t^{2} + 1} d t$
22184	Simplify	3^(1/4)*3^(1/4)	$3^{\frac{1}{4}} \cdot 3^{\frac{1}{4}}$
22185	Solve the Rational Equation for n	-2=-5+ square root of n+7	$- 2 = - 5 + \sqrt{n + 7}$
22186	Find the Integral	(dx)/(1+x^2)	$\frac{d x}{1 + x^{2}}$
22187	Solve for y	cube root of 19y+40=3 cube root of y	$\sqrt[3]{19 y + 40} = 3 \sqrt[3]{y}$
22188	Convert to Interval Notation	(x-8)/4<=(x-4)/6+1/12	$\frac{x - 8}{4} \leq \frac{x - 4}{6} + \frac{1}{12}$
22189	Simplify	(12x-5y-1)+(17y-4-13x-3y)	$(12 x - 5 y - 1) + (17 y - 4 - 13 x - 3 y)$
22190	Solve the System of Equations	x^2+y^2=4 y=x-2	$x^{2} + y^{2} = 4$ $y = x - 2$
22191	Find dy/dx	e^(xy)=y-x	$e^{x y} = y - x$
22192	Solve for x	x-y+z=A	$x - y + z = A$
22193	Simplify	(4(9)^(1/2))/9	$\frac{4 {(9)}^{\frac{1}{2}}}{9}$
22194	Graph	- cube root of x-1	$- \sqrt[3]{x} - 1$
22195	Find the Holes in the Graph	(x^2-25)/(x^2-4x-45)	$\frac{x^{2} - 25}{x^{2} - 4 x - 45}$
22196	Simplify	-x^4y^2-2x^2y^4z^6x^9y^3z^4	$- x^{4} y^{2} \cdot - 2 x^{2} y^{4} z^{6} \cdot x^{9} y^{3} z^{4}$
22197	Write in Standard Form	(x-2)^2+3	${(x - 2)}^{2} + 3$
22198	Simplify the Radical Expression	square root of 2/(7b)	$\sqrt{\frac{2}{7 b}}$
22199	Simplify the Radical Expression	(p^21q^-15r^-3)^(1/3)	${(p^{21} q^{- 15} r^{- 3})}^{\frac{1}{3}}$
22200	Solve by Factoring	x^2-2x+5=2	$x^{2} - 2 x + 5 = 2$