Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
44701	Solve the Function Operation	g(x)=4x+5 f(x)=-3x^2-3x Find g(x)+f(x)	$g (x) = 4 x + 5$ $f (x) = - 3 x^{2} - 3 x$ Find $g (x) + f (x)$
44702	Simplify	(4x^-1)/(y^-1)	$\frac{4 x^{- 1}}{y^{- 1}}$
44703	Write in Standard Form	(4x^2+5x+4)(x^2-3x+1)	$(4 x^{2} + 5 x + 4) (x^{2} - 3 x + 1)$
44704	Simplify the Radical Expression	square root of 3*2	$\sqrt{3} \cdot 2$
44705	Find the Derivative - d/dx	e^2x	$e^{2} x$
44706	Simplify	( square root of 84)/(2 square root of 3)	$\frac{\sqrt{84}}{2 \sqrt{3}}$
44707	Factor	y=2x^3+x^2	$y = 2 x^{3} + x^{2}$
44708	Write in Standard Form	x^2+y^2+14x+13=0	$x^{2} + y^{2} + 14 x + 13 = 0$
44709	Find the Roots (Zeros)	18 square root of 5x+10	$18 \sqrt{5 x} + 10$
44710	Simplify	((-2)^3x^4(yz)^2)/(3^2xy^3z)	$\frac{{(- 2)}^{3} x^{4} {(y z)}^{2}}{3^{2} x y^{3} z}$
44711	Simplify	(3x^3+7x^2)+(x^2-2x^3)	$(3 x^{3} + 7 x^{2}) + (x^{2} - 2 x^{3})$
44712	Write in Slope-Intercept Form	x/4-y/6=1	$\frac{x}{4} - \frac{y}{6} = 1$
44713	Simplify	(9x*10^-3)^2	${(9 x \cdot 10^{- 3})}^{2}$
44714	Simplify	2/(xy)+yx	$\frac{2}{x y} + y x$
44715	Evaluate	( square root of 56( square root of 28+ square root of 21- square root of 7))/( square root of 2)	$\frac{\sqrt{56} (\sqrt{28} + \sqrt{21} - \sqrt{7})}{\sqrt{2}}$
44716	Solve for h	8 square root of h-5 = square root of h+7	$8 \sqrt{h - 5} = \sqrt{h + 7}$
44717	Evaluate the Integral	integral of (4t)/(t-t^2) with respect to t	$\int \frac{4 t}{t - t^{2}} d t$
44718	Simplify	(5y-3)/(6y)+(y+2)/(4y)	$\frac{5 y - 3}{6 y} + \frac{y + 2}{4 y}$
44719	Evaluate	((3+(6)(3))/3)+2(2-5)^2	$(\frac{3 + (6) (3)}{3}) + 2 {(2 - 5)}^{2}$
44720	Find the Derivative - d/dx	2* square root of x	$2 \cdot \sqrt{x}$
44721	Divide	(3/20)÷(-21/16)	$\frac{3}{20} \div (- \frac{21}{16})$
44722	Find the Roots (Zeros)	i	$i$
44723	Solve for x	(-3x+1)/(x-2)-5/(x-6)=4/(x^2-8x+12)	$\frac{- 3 x + 1}{x - 2} - \frac{5}{x - 6} = \frac{4}{x^{2} - 8 x + 12}$
44724	Evaluate the Limit	limit as h approaches 0 of ((-3+h)^-1+3^-1)/h	$lim_{h \to 0} \frac{{(- 3 + h)}^{- 1} + 3^{- 1}}{h}$
44725	Graph	f(x)=(-5x+10)/(2x^2-8)	$f (x) = \frac{- 5 x + 10}{2 x^{2} - 8}$
44726	Convert to Radical Form	(9ab)^(1/3)	${(9 a b)}^{\frac{1}{3}}$
44727	Simplify	2x^3+4y^2-2x^3	$2 x^{3} + 4 y^{2} - 2 x^{3}$
44728	Write the Fraction in Simplest Form	9/10-1/2	$\frac{9}{10} - \frac{1}{2}$
44729	Solve the Inequality for x	3x-5=x+3	$3 x - 5 = x + 3$
44730	Solve for y	y^5=32	$y^{5} = 32$
44731	Simplify	1/2*2x	$\frac{1}{2} \cdot 2 x$
44732	Simplify	(m^2n^-1p)/(mn^3p^-2)	$\frac{m^{2} n^{- 1} p}{m n^{3} p^{- 2}}$
44733	Find the Domain and Range	y=2tan(x-pi/4)	$y = 2 \tan (x - \frac{π}{4})$
44734	Solve by Substitution	y=2x+2 y=0	$y = 2 x + 2$ $y = 0$
44735	Solve for z	14-z^2=17	$14 - z^{2} = 17$
44736	Solve for w	2w-5(w+1)=3w+1	$2 w - 5 (w + 1) = 3 w + 1$
44737	Find the Domain and Range	e^(-x^2)	$e^{- x^{2}}$
44738	Simplify the Radical Expression	-7 cube root of 54x^12	$- 7 \sqrt[3]{54 x^{12}}$
44739	Convert to a Simplified Fraction	20% as a fraction	$20 %$ as a fraction
44740	Find the Antiderivative	(2x)/((x+1)^2)	$\frac{2 x}{{(x + 1)}^{2}}$
44741	Evaluate	cube root of 0.125b^3	$\sqrt[3]{0.125 b^{3}}$
44742	Solve for x	5-x=1/2(4-x)	$5 - x = \frac{1}{2} (4 - x)$
44743	Find the Derivative - d/dx	tan(xdx)	$\tan (x d x)$
44744	Graph	1/(3x^(2/3))	$\frac{1}{3 x^{\frac{2}{3}}}$
44745	Simplify	((2xy^2)/(x^4y))^-2	${(\frac{2 x y^{2}}{x^{4} y})}^{- 2}$
44746	Simplify	( square root of 3+ square root of 2)*( square root of 3- square root of 2)	$(\sqrt{3} + \sqrt{2}) \cdot (\sqrt{3} - \sqrt{2})$
44747	Find the Roots (Zeros)	1/2x^2-8=0	$\frac{1}{2} x^{2} - 8 = 0$
44748	Find the Tangent Line at x=-1	f(x)=-x^3-5x^2+2 at x=-1	$f (x) = - x^{3} - 5 x^{2} + 2$ at $x = - 1$
44749	Evaluate the Function	f(-4)=2(-4)^3+2	$f (- 4) = 2 {(- 4)}^{3} + 2$
44750	Evaluate the Limit	limit as x approaches infinity of (2x+3)/(x^2+1)	$lim_{x \to \infty} \frac{2 x + 3}{x^{2} + 1}$
44751	Evaluate the Limit	limit as x approaches 2 of (x/2)^(1/(x-2))	$lim_{x \to 2} {(\frac{x}{2})}^{\frac{1}{x - 2}}$
44752	Write in Standard Form	(x^2+6x-7)(-x^2-9x-4)	$(x^{2} + 6 x - 7) (- x^{2} - 9 x - 4)$
44753	Simplify	( cube root of x^6)/( fourth root of x^6)	$\frac{\sqrt[3]{x^{6}}}{\sqrt[4]{x^{6}}}$
44754	Solve for n	48 is 75% of what number	$48$ is $75 %$ of what number
44755	Solve the Rational Equation for x	x/(x+4)+1=-4/(x+4)	$\frac{x}{x + 4} + 1 = - \frac{4}{x + 4}$
44756	Evaluate the Integral	integral of (2+e^x)^-6e^x with respect to x	$\int {(2 + e^{x})}^{- 6} e^{x} d x$
44757	Find the Degree, Leading Term, and Leading Coefficient	f(x)=13-2x^2+6x-9x^3	$f (x) = 13 - 2 x^{2} + 6 x - 9 x^{3}$
44758	Find the Roots (Zeros)	x^5-2x^4-24x^3=0	$x^{5} - 2 x^{4} - 24 x^{3} = 0$
44759	Solve for x	square root of x-2x+6=0	$\sqrt{x} - 2 x + 6 = 0$
44760	Evaluate	(10\|-2\|)/4+\|-2-5\|	$\frac{10 \| - 2 \|}{4} + \| - 2 - 5 \|$
44761	Solve for y	y=\|8+11\|	$y = \| 8 + 11 \|$
44762	Factor by Grouping	2x^3+x^2y-6xy^2-3y^3	$2 x^{3} + x^{2} y - 6 x y^{2} - 3 y^{3}$
44763	Evaluate	(1- square root of x)^2	${(1 - \sqrt{x})}^{2}$
44764	Simplify	Simplify 10(N+3)	Simplify $10 (N + 3)$
44765	Solve for x	y=e+2^x	$y = e + 2^{x}$
44766	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3-10x^2-x+3 is divided by 4x-3	Use the long division method to find the result when $8 x^{3} - 10 x^{2} - x + 3$ is divided by $4 x - 3$
44767	Simplify	((x^8)/(z^16))^(1/4)	${(\frac{x^{8}}{z^{16}})}^{\frac{1}{4}}$
44768	Solve for u	8(u+1.5)-7u=-4.9	$8 (u + 1.5) - 7 u = - 4.9$
44769	Find the Antiderivative	f(x)=-9e^(-9x)+(-7x+5x^5)/(x^2)	$f (x) = - 9 e^{- 9 x} + \frac{- 7 x + 5 x^{5}}{x^{2}}$
44770	Find the Derivative - d/dx	x-1/(x^2)	$x - \frac{1}{x^{2}}$
44771	Simplify	((4a)^3)/(a^5)	$\frac{{(4 a)}^{3}}{a^{5}}$
44772	Factor	x^2+2xy+x	$x^{2} + 2 x y + x$
44773	Find the Inverse	f(x)=(7+3x)/(5x+6)	$f (x) = \frac{7 + 3 x}{5 x + 6}$
44774	Find the x and y Intercepts	y=sin(x)+1	$y = \sin (x) + 1$
44775	Write in Standard Form	x^2-y^2-6x+4y=-4	$x^{2} - y^{2} - 6 x + 4 y = - 4$
44776	Find the Slope	(2,30 degrees ) , (5,120 degrees )	$(2, 30 °)$ , $(5, 120 °)$
44777	Solve for x	sin(x)=( square root of 3)/2 , cos(x)=-1/2	$\sin (x) = \frac{\sqrt{3}}{2}$ , $\cos (x) = - \frac{1}{2}$
44778	Solve for x	x-y=11 2x+y=19	$x - y = 11$ $2 x + y = 19$
44779	Solve Using the Square Root Property	4(x-6)^2-27=-23	$4 {(x - 6)}^{2} - 27 = - 23$
44780	Solve for x	3x=a/b(x-1)	$3 x = \frac{a}{b} (x - 1)$
44781	Solve for p	p/2 1/7=-5.3	$\frac{p}{2 \frac{1}{7}} = - 5.3$
44782	Solve for x	6tan(x)^2-2=4	$6 \tan^{2} (x) - 2 = 4$
44783	Simplify	(r^2(r+3))/(r(r-3))	$\frac{r^{2} (r + 3)}{r (r - 3)}$
44784	Simplify	3ab(a^2-2ab+b^2)	$3 a b (a^{2} - 2 a b + b^{2})$
44785	Solve for h	D(h)=111.7 square root of h	$D (h) = 111.7 \sqrt{h}$
44786	Solve the Inequality for x	1/5<=x/15	$\frac{1}{5} \leq \frac{x}{15}$
44787	Solve for θ	sin(theta)=0.4	$\sin (θ) = 0.4$
44788	Solve for x	1/x+(3x+12)/(x^2-5x)=(7x-56)/(x^2-5x)	$\frac{1}{x} + \frac{3 x + 12}{x^{2} - 5 x} = \frac{7 x - 56}{x^{2} - 5 x}$
44789	Simplify	-(-27)^(-4/3)	$- {(- 27)}^{- \frac{4}{3}}$
44790	Find the LCD	2/(x-10) and 3/(x+10)	$\frac{2}{x - 10}$ and $\frac{3}{x + 10}$
44791	Verify the Identity	sec(x)^6(sec(x)tan(x))-sec(x)^4(sec(x)tan(x))=sec(x)^5tan(x)^3	$\sec^{6} (x) (\sec (x) \tan (x)) - \sec^{4} (x) (\sec (x) \tan (x)) = \sec^{5} (x) \tan^{3} (x)$
44792	Solve for x	10/(x^2+x-6)=x/(x-2)+2/(x+3)	$\frac{10}{x^{2} + x - 6} = \frac{x}{x - 2} + \frac{2}{x + 3}$
44793	Find the Excluded Values	3/x+2=5/(4x)+17/8	$\frac{3}{x} + 2 = \frac{5}{4 x} + \frac{17}{8}$
44794	Solve the Rational Equation for n	3+ square root of n=13	$3 + \sqrt{n} = 13$
44795	Divide	(2y-6x)/(3x)	$\frac{2 y - 6 x}{3 x}$
44796	Find the Slope and y-intercept	y=(3x)/7+4/7	$y = \frac{3 x}{7} + \frac{4}{7}$
44797	Find All Complex Solutions	(21x^2+14x)=0	$(21 x^{2} + 14 x) = 0$
44798	Find the GCF	8y^3 and 28y	$8 y^{3}$ and $28 y$
44799	Write in Standard Form	3-3/4x=2/5	$3 - \frac{3}{4} x = \frac{2}{5}$
44800	Find the Domain and Range	y = square root of 2x-x^2	$y = \sqrt{2 x - x^{2}}$