Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18501	Find the Sine of the Angle	(9pi)/4	$\frac{9 π}{4}$
18502	Find the Antiderivative	square root of x+ cube root of x+ fourth root of x	$\sqrt{x} + \sqrt[3]{x} + \sqrt[4]{x}$
18503	Simplify	((54^(1/2))^(5/3))/(54^(1/2))	$\frac{{(54^{\frac{1}{2}})}^{\frac{5}{3}}}{54^{\frac{1}{2}}}$
18504	Solve for x	2 square root of x = square root of x+9	$2 \sqrt{x} = \sqrt{x + 9}$
18505	Multiply	(5x-15)/(4x^2)*(x^3)/(6x-18)	$\frac{5 x - 15}{4 x^{2}} \cdot \frac{x^{3}}{6 x - 18}$
18506	Find the Inverse	g(x)=-(x^2)/4+7	$g (x) = - \frac{x^{2}}{4} + 7$
18507	Find the Antiderivative	2x^3-2/3x^2+5x	$2 x^{3} - \frac{2}{3} x^{2} + 5 x$
18508	Write in Slope-Intercept Form	(-8,-4) and (4,-7)	$(- 8, - 4)$ and $(4, - 7)$
18509	Solve the Function Operation	f(x)=(x-10)/9 ; find f^-1(x)	$f (x) = \frac{x - 10}{9}$ ; find $f^{- 1} (x)$
18510	Simplify	(2x)/((x^3)^3*x^3)	$\frac{2 x}{{(x^{3})}^{3} \cdot x^{3}}$
18511	Find the Maximum/Minimum Value	f(x)=0.5x^3-2x+2.5	$f (x) = 0.5 x^{3} - 2 x + 2.5$
18512	Solve for x	log base 5 of (2x-3)^2=6	$\log_{5} ({(2 x - 3)}^{2}) = 6$
18513	Find dy/dx	-y^3+5y^2=4x^2	$- y^{3} + 5 y^{2} = 4 x^{2}$
18514	Write as a Single Logarithm	7* log base 4 of u-3* log base 4 of v^2	$7 \cdot \log_{4} (u) - 3 \cdot \log_{4} (v^{2})$
18515	Find the Derivative - d/dA	sin(A)^2	$\sin^{2} (A)$
18516	Simplify	fourth root of 144(m+n)^2	$\sqrt[4]{144 {(m + n)}^{2}}$
18517	Find the Domain and Range	f(x)=-1+ square root of x+2	$f (x) = - 1 + \sqrt{x + 2}$
18518	Determine if Odd, Even, or Neither	y=f(x)-g(x)	$y = f (x) - g (x)$
18519	Solve the Inequality for x	(x-8)/x<=3-x	$\frac{x - 8}{x} \leq 3 - x$
18520	Simplify	( fifth root of 2+ fifth root of 3)/(3 fifth root of 17)	$\frac{\sqrt[5]{2} + \sqrt[5]{3}}{3 \sqrt[5]{17}}$
18521	Evaluate the Function	f(x)=-3x^5+14x^4-5x^2+50x-1 at x=5	$f (x) = - 3 x^{5} + 14 x^{4} - 5 x^{2} + 50 x - 1$ at $x = 5$
18522	Find the Degree	arccos(-1/2)	$\arccos (- \frac{1}{2})$
18523	Factor	x^4-8x^2+16=0	$x^{4} - 8 x^{2} + 16 = 0$
18524	Find the Domain and Range	y=arccsc(5x+3/2)	$y = arccsc (5 x + \frac{3}{2})$
18525	Evaluate	2^2*2/(2^4)	$2^{2} \cdot \frac{2}{2^{4}}$
18526	Solve for f	-2(16f-14)=-4f	$- 2 (16 f - 14) = - 4 f$
18527	Find the Roots (Zeros)	(3x-1)(x+3)=x(1+6x)	$(3 x - 1) (x + 3) = x (1 + 6 x)$
18528	Convert to a Decimal	85deg	$85$ degrees
18529	Graph	y=(3x^2-4x+1)/(2x^2+5x-3)	$y = \frac{3 x^{2} - 4 x + 1}{2 x^{2} + 5 x - 3}$
18530	Simplify	((x+3)/x)((x+1)/3)	$(\frac{x + 3}{x}) (\frac{x + 1}{3})$
18531	Find dy/dx	y=tan(x)+7x^2-pix+2	$y = \tan (x) + 7 x^{2} - π x + 2$
18532	Evaluate the Integral	integral from 0 to pi/4 of sec(theta)^4tan(theta)^4 with respect to theta	$\int_{0}^{\frac{π}{4}} \sec^{4} (θ) \tan^{4} (θ) d θ$
18533	Solve the Function Operation	f(x)=5x+1 ; find f(0)	$f (x) = 5 x + 1$ ; find $f (0)$
18534	Find the Domain	f(x)=(6x^2+15x+7)/(3x+6)	$f (x) = \frac{6 x^{2} + 15 x + 7}{3 x + 6}$
18535	Evaluate	1/2e^2	$\frac{1}{2} e^{2}$
18536	Evaluate	-2(5)^(1/3)-5(5)^(1/2)	$- 2 {(5)}^{\frac{1}{3}} - 5 {(5)}^{\frac{1}{2}}$
18537	Evaluate	-1/3 cube root of 27	$- \frac{1}{3} \sqrt[3]{27}$
18538	Find the Derivative - d/dx	sec(x)-1	$\sec (x) - 1$
18539	Simplify the Radical Expression	(32x^-30y^-15)^(-4/5)	${(32 x^{- 30} y^{- 15})}^{- \frac{4}{5}}$
18540	Evaluate the Integral	integral of 6(3x+1)e^(15x^2+10x-15) with respect to x	$\int 6 (3 x + 1) e^{15 x^{2} + 10 x - 15} d x$
18541	Find dy/dx	(x+2y)^6=y^2	${(x + 2 y)}^{6} = y^{2}$
18542	Simplify	cube root of 3^4* fifth root of 3^2	$\sqrt[3]{3^{4}} \cdot \sqrt[5]{3^{2}}$
18543	Solve for d	d=-20+11(11)	$d = - 20 + 11 (11)$
18544	Solve the Inequality for x	400>(1/20)^(7x+8)	$400 > {(\frac{1}{20})}^{7 x + 8}$
18545	Simplify	((x-y)/3)/((x-y)/(2x))	$\frac{\frac{x - y}{3}}{\frac{x - y}{2 x}}$
18546	Simplify	2a^3b(5a^4b^2)(-4b^3)	$2 a^{3} b (5 a^{4} b^{2}) (- 4 b^{3})$
18547	Solve for y	y = square root of 5y-4	$y = \sqrt{5 y - 4}$
18548	Evaluate the Integral	integral from 0 to pi/4 of 4sec(theta)^4tan(theta)^4 with respect to theta	$\int_{0}^{\frac{π}{4}} 4 \sec^{4} (θ) \tan^{4} (θ) d θ$
18549	Solve the Inequality for x	5x>2x+12	$5 x > 2 x + 12$
18550	Solve for n	7/8-1/4n=-3/8	$\frac{7}{8} - \frac{1}{4} n = - \frac{3}{8}$
18551	Integrate Using u-Substitution	integral of sin(theta)^2cos(theta) with respect to theta , u=sin(theta)	$\int \sin^{2} (θ) \cos (θ) d θ$ , $u = \sin (θ)$
18552	Solve the Rational Equation for x	square root of x=15	$\sqrt{x} = 15$
18553	Simplify	( square root of 5- square root of 6)/( square root of 3- square root of 10)	$\frac{\sqrt{5} - \sqrt{6}}{\sqrt{3} - \sqrt{10}}$
18554	Find the Slope	(0,-9) and (7,6)	$(0, - 9)$ and $(7, 6)$
18555	Find the Domain	g(x) = natural log of \|x+1\|	$g (x) = \ln (\| x + 1 \|)$
18556	Simplify	xi^8-yi^6	$x i^{8} - y i^{6}$
18557	Simplify the Radical Expression	1/2 square root of 2+1/3 square root of 2	$\frac{1}{2} \sqrt{2} + \frac{1}{3} \sqrt{2}$
18558	Write in Standard Form	1/2y=1	$\frac{1}{2} y = 1$
18559	Find the Antiderivative	xe^xdx	$x e^{x} d x$
18560	Divide	((10m-90)/10)÷((m^2+9m+18)/(7m^2+42m))	$\frac{10 m - 90}{10} \div \frac{m^{2} + 9 m + 18}{7 m^{2} + 42 m}$
18561	Find the Distance Between Two Points	(-12,1) and (12,-1)	$(- 12, 1)$ and $(12, - 1)$
18562	Simplify	(x^2y)^2(4x^3y^7)^3	${(x^{2} y)}^{2} {(4 x^{3} y^{7})}^{3}$
18563	Graph	f(x)=(x-6)/(x^2-6x)	$f (x) = \frac{x - 6}{x^{2} - 6 x}$
18564	Solve for m	m/(m-2)-27/7=2/(m^2-m-2)	$\frac{m}{m - 2} - \frac{27}{7} = \frac{2}{m^{2} - m - 2}$
18565	Solve for n	-(2n-8)=-2	$- (2 n - 8) = - 2$
18566	Find the Exact Value	sin(pi/4)cos(pi/3)+cos(pi/4)sin(pi/3)	$\sin (\frac{π}{4}) \cos (\frac{π}{3}) + \cos (\frac{π}{4}) \sin (\frac{π}{3})$
18567	Find the Degree, Leading Term, and Leading Coefficient	f(s)=6s^5-2s^4+s^2+3	$f (s) = 6 s^{5} - 2 s^{4} + s^{2} + 3$
18568	Find the Function	f(x)=x^n	$f (x) = x^{n}$
18569	Solve for x	(2x)/5+(-1)=x/10	$\frac{2 x}{5} + (- 1) = \frac{x}{10}$
18570	Simplify	(-5+ square root of -25)-(2- square root of -16)	$(- 5 + \sqrt{- 25}) - (2 - \sqrt{- 16})$
18571	Graph	f(x)=x^3+1/2x^2-x-1/2	$f (x) = x^{3} + \frac{1}{2} x^{2} - x - \frac{1}{2}$
18572	Simplify	cube root of 16-3 cube root of 54+2 cube root of 250	$\sqrt[3]{16} - 3 \sqrt[3]{54} + 2 \sqrt[3]{250}$
18573	Find Where Undefined/Discontinuous	y=5/((x+1)^2)	$y = \frac{5}{{(x + 1)}^{2}}$
18574	Find the x and y Intercepts	y=(1/2)^(x-3)	$y = {(\frac{1}{2})}^{x - 3}$
18575	Find Amplitude, Period, and Phase Shift	y=-4cos(x+6pi)-8	$y = - 4 \cos (x + 6 π) - 8$
18576	Simplify	(12 square root of 3)/(3 square root of 2)	$\frac{12 \sqrt{3}}{3 \sqrt{2}}$
18577	Evaluate the Limit	limit as h approaches 0 of (-9 square root of h+4+18)/h	$lim_{h \to 0} \frac{- 9 \sqrt{h + 4} + 18}{h}$
18578	Solve for g	3(1-3g)=-7+g	$3 (1 - 3 g) = - 7 + g$
18579	Solve for m	(\|m\|)/5=3	$\frac{\| m \|}{5} = 3$
18580	Find the Inverse	f(x)=(x^2-1)/10	$f (x) = \frac{x^{2} - 1}{10}$
18581	Find the Roots (Zeros)	f(x)=3/2(x-2)	$f (x) = \frac{3}{2} (x - 2)$
18582	Find the Equation Using Two Points	f(-1)=8 and f(5)=6	$f (- 1) = 8$ and $f (5) = 6$
18583	Convert to a Decimal	tan(30)deg	$\tan (30)$ degrees
18584	Solve the Function Operation	f(x)=-(x-1)^2-1 if x<2; -6 if x=2; -x+3 if x>2 Find f(5)	$f (x) = {\begin{cases} - {(x - 1)}^{2} - 1 & x < 2 \\ - 6 & x = 2 \\ - x + 3 & x > 2 \end{cases}$ Find $f (5)$
18585	Solve by Addition/Elimination	-2x+y=3 3x-y=-2	$- 2 x + y = 3$ $3 x - y = - 2$
18586	Simplify the Radical Expression	1/( square root of 12)	$\frac{1}{\sqrt{12}}$
18587	Expand Using Sum/Difference Formulas	sin(x+pi)	$\sin (x + π)$
18588	Simplify the Radical Expression	square root of (80w^3)/9	$\sqrt{\frac{80 w^{3}}{9}}$
18589	Write in Exponential Form	cube root of 7^2* fifth root of 7^3	$\sqrt[3]{7^{2}} \cdot \sqrt[5]{7^{3}}$
18590	Factor	Factor the expression 15r-25	Factor the expression $15 r - 25$
18591	Solve the Rational Equation for x	square root of x-12=2- square root of x	$\sqrt{x - 12} = 2 - \sqrt{x}$
18592	Solve for a	b=-2+3a	$b = - 2 + 3 a$
18593	Find the LCD	2/(5x+15) and 1/(10x)	$\frac{2}{5 x + 15}$ and $\frac{1}{10 x}$
18594	Graph	f(x)=(x^2+4x)/(x^2+3x-4)	$f (x) = \frac{x^{2} + 4 x}{x^{2} + 3 x - 4}$
18595	Solve for x	8/x=3x+2	$\frac{8}{x} = 3 x + 2$
18596	Find the Derivative - d/dO	OH	$O H$
18597	Simplify	-2^0+2	$- 2^{0} + 2$
18598	Simplify	cube root of (3/(2p^2))^2	$\sqrt[3]{{(\frac{3}{2 p^{2}})}^{2}}$
18599	Rationalize the Denominator	4 square root of 5/8	$4 \sqrt{\frac{5}{8}}$
18600	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-11x^3+3x^2+2x+3 is divided by x-1	Use synthetic division to find the result when $3 x^{4} - 11 x^{3} + 3 x^{2} + 2 x + 3$ is divided by $x - 1$