Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
22901	Solve for x	a=(4x)/t-p	$a = \frac{4 x}{t} - p$
22902	Solve for x	0=x^3+x^2-9x-9	$0 = x^{3} + x^{2} - 9 x - 9$
22903	Find the Antiderivative	xe^(x^2+1)	$x e^{x^{2} + 1}$
22904	Write the Fraction in Simplest Form	((4x^-2j^3)^-3)/(3x^6j^-4)	$\frac{{(4 x^{- 2} j^{3})}^{- 3}}{3 x^{6} j^{- 4}}$
22905	Write in Standard Form	-2x+3=4y	$- 2 x + 3 = 4 y$
22906	Simplify	cube root of fourth root of y^11	$\sqrt[3]{\sqrt[4]{y^{11}}}$
22907	Subtract	(m^2+n^2)-(4m^2+7n^2)	$(m^{2} + n^{2}) - (4 m^{2} + 7 n^{2})$
22908	Solve for x	square root of 8-x=2x+d	$\sqrt{8 - x} = 2 x + d$
22909	Find Amplitude, Period, and Phase Shift	y=-4sin(x+pi)+2	$y = - 4 \sin (x + π) + 2$
22910	Evaluate	sin(theta)(csc(theta)-sin(theta))	$\sin (θ) (\csc (θ) - \sin (θ))$
22911	Simplify	1/(cos(x))-(sin(x))/(cos(x))	$\frac{1}{\cos (x)} - \frac{\sin (x)}{\cos (x)}$
22912	Solve the Function Operation	g(t)=t^2+3 h(t)=4t-3 find (g*h)(-1)	$g (t) = t^{2} + 3$ $h (t) = 4 t - 3$ find $(g \cdot h) (- 1)$
22913	Solve the Inequality for k	\|k-4\|>3	$\| k - 4 \| > 3$
22914	Find the Excluded Values	1-5/(x-2)=-20/(x^2-4)	$1 - \frac{5}{x - 2} = - \frac{20}{x^{2} - 4}$
22915	Divide	( cube root of 6)/( fourth root of 6)	$\frac{\sqrt[3]{6}}{\sqrt[4]{6}}$
22916	Find All Complex Solutions	z^4=-1	$z^{4} = - 1$
22917	Evaluate the Integral	integral from 0 to 1 of (x^15+15^x) with respect to x	$\int_{0}^{1} (x^{15} + 15^{x}) d x$
22918	Evaluate the Function	f(x)=x^3+x^2-5x-6 at x=2	$f (x) = x^{3} + x^{2} - 5 x - 6$ at $x = 2$
22919	Simplify	square root of 2*5	$\sqrt{2 \cdot 5}$
22920	Solve for x	x^5-32=-64	$x^{5} - 32 = - 64$
22921	Divide Using Synthetic Division	(x^4-x^3+x^2-x+1)÷(x-1)	$(x^{4} - x^{3} + x^{2} - x + 1) \div (x - 1)$
22922	Find the Domain and Range	y=-3/2sin(x/3+pi/6)+2	$y = - \frac{3}{2} \sin (\frac{x}{3} + \frac{π}{6}) + 2$
22923	Add	1/15+1/5+1/3+1/5+1/15	$\frac{1}{15} + \frac{1}{5} + \frac{1}{3} + \frac{1}{5} + \frac{1}{15}$
22924	Factor	(5x-6)^2+x5(5x-6)5	${(5 x - 6)}^{2} + x \cdot 5 (5 x - 6) \cdot 5$
22925	Simplify	y^2+11y-6y+y^2	$y^{2} + 11 y - 6 y + y^{2}$
22926	Simplify	(-1/x)(1-x)/(1+x)x/(x^2-1)	$(- \frac{1}{x}) \cdot \frac{(1 - x)}{1 + x} \cdot \frac{x}{x^{2} - 1}$
22927	Factor	5(4x^2+3x-10)-(3x+2)(x+2)	$5 (4 x^{2} + 3 x - 10) - (3 x + 2) (x + 2)$
22928	Find the Reference Angle	sec((13pi)/3)	$\sec (\frac{13 π}{3})$
22929	Simplify	((2x^3)/(x+5))÷((x-5)/(3x-1))	$\frac{2 x^{3}}{x + 5} \div \frac{x - 5}{3 x - 1}$
22930	Find Where Increasing/Decreasing	f(x)=3+2x-x^2	$f (x) = 3 + 2 x - x^{2}$
22931	Add	1/2+3/4+1/3	$\frac{1}{2} + \frac{3}{4} + \frac{1}{3}$
22932	Evaluate	y=2(4)^-2	$y = 2 {(4)}^{- 2}$
22933	Graph	x^2\|x\|	$x^{2} \| x \|$
22934	Find the Antiderivative	3x^2+x/2	$3 x^{2} + \frac{x}{2}$
22935	Evaluate	(3x+2)-(x+4)	$(3 x + 2) - (x + 4)$
22936	Simplify	2/3y-2(4/3y+z)	$\frac{2}{3} y - 2 (\frac{4}{3} y + z)$
22937	Solve the Rational Equation for x	square root of 10x+15-4=x	$\sqrt{10 x + 15} - 4 = x$
22938	Simplify	(m^(-3/4)n^(-1/4))/((m^2n)^(1/2))	$\frac{m^{- \frac{3}{4}} n^{- \frac{1}{4}}}{{(m^{2} n)}^{\frac{1}{2}}}$
22939	Solve for x	(x+2)+(2y-1)i=-1+5i	$(x + 2) + (2 y - 1) i = - 1 + 5 i$
22940	Evaluate	-(2c^0)^3	$- {(2 c^{0})}^{3}$
22941	Find the Asymptotes	f(x)=(x^3-5x)/(x^2+1)	$f (x) = \frac{x^{3} - 5 x}{x^{2} + 1}$
22942	Find Amplitude, Period, and Phase Shift	y=5sin(2/3x+2/9pi)	$y = 5 \sin (\frac{2}{3} x + \frac{2}{9} π)$
22943	Simplify	( square root of 8- square root of 2)/( square root of 2)	$\frac{\sqrt{8} - \sqrt{2}}{\sqrt{2}}$
22944	Solve for w	9/4(w-1/9)=7/2	$\frac{9}{4} (w - \frac{1}{9}) = \frac{7}{2}$
22945	Simplify	(2 square root of 4-x^2)^2	${(2 \sqrt{4 - x^{2}})}^{2}$
22946	Find the Exact Value	(9^-3)/(9^12)	$\frac{9^{- 3}}{9^{12}}$
22947	Solve by Factoring	(2x-3)^2=25	${(2 x - 3)}^{2} = 25$
22948	Simplify	Simplify the expression (2x-6)/2	Simplify the expression $\frac{2 x - 6}{2}$
22949	Evaluate the Function	g(1-t)=3x^2-5x+1	$g (1 - t) = 3 x^{2} - 5 x + 1$
22950	Evaluate the Function	g(-3)=-2(-3)^3-3	$g (- 3) = - 2 {(- 3)}^{3} - 3$
22951	Graph	g(x)=-1 if x<-3; x^2-2 if -3<=x<=1; -1 if x>1	$g (x) = {\begin{cases} - 1 & x < - 3 \\ x^{2} - 2 & - 3 \leq x \leq 1 \\ - 1 & x > 1 \end{cases}$
22952	Integrate Using u-Substitution	integral of cot(x)^2 with respect to x	$\int \cot^{2} (x) d x$
22953	Multiply	y^2(y+5)(y-3)	$y^{2} (y + 5) (y - 3)$
22954	Simplify	((3x^3)/7)÷(4/(7x^2))	$\frac{3 x^{3}}{7} \div \frac{4}{7 x^{2}}$
22955	Simplify	(2x^3yz^0)^2	${(2 x^{3} y z^{0})}^{2}$
22956	Find All Complex Solutions	log of 5x=-1	$\log (5 x) = - 1$
22957	Simplify	((3m^-5n^2)/(4m^-2n^0))^2	${(\frac{3 m^{- 5} n^{2}}{4 m^{- 2} n^{0}})}^{2}$
22958	Solve the Inequality for x	(1/3)^x<(1/5)^x	${(\frac{1}{3})}^{x} < {(\frac{1}{5})}^{x}$
22959	Convert to a Decimal	3rev per s	$3$ revolutions per second
22960	Solve for x	x^( log of x)=10	$x^{\log (x)} = 10$
22961	Find Where Increasing/Decreasing	h(x)=x^4-3x^2+x	$h (x) = x^{4} - 3 x^{2} + x$
22962	Find dy/dx	-5x^2+y^2-x^3=-x	$- 5 x^{2} + y^{2} - x^{3} = - x$
22963	Solve for x	x^3-3x^2-10x-x^2+3x+10=0	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10 = 0$
22964	Find the x and y Intercepts	f(x)=(3x^3+2x^2)/(x^2+x)	$f (x) = \frac{3 x^{3} + 2 x^{2}}{x^{2} + x}$
22965	Find the Degree, Leading Term, and Leading Coefficient	x^2-1/2	$x^{2} - \frac{1}{2}$
22966	Evaluate the Function	f(-1)=-x^2+x	$f (- 1) = - x^{2} + x$
22967	Evaluate the Integral	integral from 0 to pi of 4/(x^2+1) with respect to x	$\int_{0}^{π} \frac{4}{x^{2} + 1} d x$
22968	Solve for k	4/(k^2-8k+12)=k/(k-2)+1/(k-6)	$\frac{4}{k^{2} - 8 k + 12} = \frac{k}{k - 2} + \frac{1}{k - 6}$
22969	Combine Like Terms	-7+3(-4e-3)	$- 7 + 3 (- 4 e - 3)$
22970	Solve the Function Operation	Given that f(x)=x^2+12x+35 and g(x)=x+7 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 12 x + 35$ and $g (x) = x + 7$ ; find $(f \cdot g) (x)$ and express the result in standard form.
22971	Multiply	12y*(2/3xy^4)	$12 y \cdot (\frac{2}{3} x y^{4})$
22972	Solve the System of Equations	x^2+y^2=68 5y=-3x+34	$x^{2} + y^{2} = 68$ $5 y = - 3 x + 34$
22973	Find All Complex Solutions	cos(theta)*csc(theta)-2cos(theta)=0	$\cos (θ) \cdot \csc (θ) - 2 \cos (θ) = 0$
22974	Simplify	((3x^3)^2)^-2	${({(3 x^{3})}^{2})}^{- 2}$
22975	Find the Slope	(3,-9) and (-12,-6)	$(3, - 9)$ and $(- 12, - 6)$
22976	Solve for p	p/9=-9	$\frac{p}{9} = - 9$
22977	Simplify	(5/7)^-0.65	${(\frac{5}{7})}^{- 0.65}$
22978	Simplify	x^-2y^3*y^-2	$x^{- 2} y^{3} \cdot y^{- 2}$
22979	Factor	(mn)^4-n^2	${(m n)}^{4} - n^{2}$
22980	Rationalize the Denominator	(6- square root of 2)/(4-3 square root of 2)	$\frac{6 - \sqrt{2}}{4 - 3 \sqrt{2}}$
22981	Evaluate the Integral	integral of (7csc(x)^2+2sec(x)tan(x)) with respect to x	$\int (7 \csc^{2} (x) + 2 \sec (x) \tan (x)) d x$
22982	Simplify	(2a^2b+2b^3)(3a^2b+3b+5b^3)	$(2 a^{2} b + 2 b^{3}) (3 a^{2} b + 3 b + 5 b^{3})$
22983	Evaluate	15/(a^2-1)=5/(2a-2)	$\frac{15}{a^{2} - 1} = \frac{5}{2 a - 2}$
22984	Find the Distance Between Two Points	(-9,-4) and (0,-7)	$(- 9, - 4)$ and $(0, - 7)$
22985	Solve for x	square root of 9x^2-11=5	$\sqrt{9 x^{2} - 11} = 5$
22986	Find the Exact Value	arccsc(sec((2pi)/3))	$arccsc (\sec (\frac{2 π}{3}))$
22987	Solve the System of Inequalities	0.4x-1<=0 2.3x>=4.6	$0.4 x - 1 \leq 0$ $2.3 x \geq 4.6$
22988	Find the Product	(-4x^4-3x^3)(-9x^2+x)	$(- 4 x^{4} - 3 x^{3}) (- 9 x^{2} + x)$
22989	Solve by Substitution	y=x+2 and 3x+3y=6	$y = x + 2$ and $3 x + 3 y = 6$
22990	Find the Derivative - d/dx	\|x^2\|	$\| x^{2} \|$
22991	Solve the System of Equations	y=-x+3 and 2x+2y=6	$y = - x + 3$ and $2 x + 2 y = 6$
22992	Find the GCF	28 and 35	$28$ and $35$
22993	Multiply	(x-y)(x+y)(x^2-y^2)	$(x - y) (x + y) (x^{2} - y^{2})$
22994	Graph	D={x\|x<=-1}	$D = {x \| x \leq - 1}$
22995	Simplify	( fifth root of x^3 square root of x^5 cube root of x^2)/( cube root of x^2 fifth root of x^3 square root of x^7)	$\frac{\sqrt[5]{x^{3} \sqrt{x^{5} \sqrt[3]{x^{2}}}}}{\sqrt[3]{x^{2} \sqrt[5]{x^{3} \sqrt{x^{7}}}}}$
22996	Solve the Inequality for x	1/6<(2x-17)/12<=2/3	$\frac{1}{6} < \frac{2 x - 17}{12} \leq \frac{2}{3}$
22997	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+6x^2+10x+25 is divided by x+5	Use synthetic division to find the result when $x^{3} + 6 x^{2} + 10 x + 25$ is divided by $x + 5$
22998	Simplify	-2/(x^2-1)+1/(x+1)-1/(x-1)	$\frac{- 2}{x^{2} - 1} + \frac{1}{x + 1} - \frac{1}{x - 1}$
22999	Solve the Function Operation	cos(theta)=-3/5 , theta in quadrant II	$\cos (θ) = - \frac{3}{5}$ , $θ$ in quadrant $I \cdot I$
23000	Find the Holes in the Graph	(x^2-16)/(2x^2-4x-16)	$\frac{x^{2} - 16}{2 x^{2} - 4 x - 16}$