Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
31401	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3-11x^2-18x+16 is divided by 3x-2	Use the long division method to find the result when $3 x^{3} - 11 x^{2} - 18 x + 16$ is divided by $3 x - 2$
31402	Solve for y	y=-1/2(2)	$y = - \frac{1}{2} (2)$
31403	Evaluate	(n root of a)^n	${(\sqrt[n]{a})}^{n}$
31404	Graph	(3,-255 degrees )	$(3, - 255 °)$
31405	Find dy/dx	e^(xy)=e^(4x)-e^(5y)	$e^{x y} = e^{4 x} - e^{5 y}$
31406	Solve for x	square root of 25-10x+x^2=x-5	$\sqrt{25 - 10 x + x^{2}} = x - 5$
31407	Expand Using the Binomial Theorem	(x+1/(x^2))^6	${(x + \frac{1}{x^{2}})}^{6}$
31408	Solve for a	2/3a+6b=c	$\frac{2}{3} a + 6 b = c$
31409	Find the Roots (Zeros)	3x^2+36=-24x	$3 x^{2} + 36 = - 24 x$
31410	Simplify	( cube root of 8x^5)/( square root of x)	$\frac{\sqrt[3]{8 x^{5}}}{\sqrt{x}}$
31411	Simplify	(5)^0(y)^0	${(5)}^{0} {(y)}^{0}$
31412	Graph	x^2+y^2<=25 y>-\|x\|+2	$x^{2} + y^{2} \leq 25$ $y > - \| x \| + 2$
31413	Expand Using Sum/Difference Formulas	tan(pi+theta)	$\tan (π + θ)$
31414	Solve for x	(x^2+3x+19)(x^2+2)=0	$(x^{2} + 3 x + 19) (x^{2} + 2) = 0$
31415	Evaluate	((4+2-11)+(13+9-20))-((-3+5-21)-(18-15+6))	$((4 + 2 - 11) + (13 + 9 - 20)) - ((- 3 + 5 - 21) - (18 - 15 + 6))$
31416	Graph	f(x)=(x^3-2x^2-8x)/(3x^2-27)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{3 x^{2} - 27}$
31417	Simplify	- square root of -49-5 square root of -9+3 cube root of -8	$- \sqrt{- 49} - 5 \sqrt{- 9} + 3 \sqrt[3]{- 8}$
31418	Write in Exponential Form	cube root of 5^3	$\sqrt[3]{5^{3}}$
31419	Simplify	square root of 32x+4 square root of 8x	$\sqrt{32 x} + 4 \sqrt{8 x}$
31420	Find the Roots (Zeros)	-x^2e^(-x)+2xe^(-x)	$- x^{2} e^{- x} + 2 x e^{- x}$
31421	Simplify	(3ab^2-2)(ab+2)	$(3 a b^{2} - 2) (a b + 2)$
31422	Simplify	1 square root of 1	$1 \sqrt{1}$
31423	Solve for x	xy+8=z+7	$x y + 8 = z + 7$
31424	Simplify	(a^-9b^12c^18d^0)^(2/3)	${(a^{- 9} b^{12} c^{18} d^{0})}^{\frac{2}{3}}$
31425	Find Where Increasing/Decreasing	f(x)=-2^x+6	$f (x) = - 2^{x} + 6$
31426	Evaluate	( log base 4 of x)/( log base 4 of 4)	$\frac{\log_{4} (x)}{\log_{4} (4)}$
31427	Solve the Rational Equation for x	square root of x+2 = square root of x+9	$\sqrt{x} + 2 = \sqrt{x + 9}$
31428	Find the Slope	(-4,-9) and (0,-8)	$(- 4, - 9)$ and $(0, - 8)$
31429	Find Amplitude, Period, and Phase Shift	y=1/4sin((4pix)/7+(2pi)/5)	$y = \frac{1}{4} \sin (\frac{4 π x}{7} + \frac{2 π}{5})$
31430	Find the Domain and Range	h(x) = fifth root of 2x	$h (x) = \sqrt[5]{2 x}$
31431	Find the Maximum/Minimum Value	f(x) = natural log of x^2-1	$f (x) = \ln (x^{2} - 1)$
31432	Solve the Function Operation	Given that f(x)=x^2+4x-32 and g(x)=x+8 ; find (f(x))÷(g(x)) and express the result in standard form.	Given that $f (x) = x^{2} + 4 x - 32$ and $g (x) = x + 8$ ; find $f (x) \div g (x)$ and express the result in standard form.
31433	Find the Inverse	f(x)=1/2 square root of 2x+1	$f (x) = \frac{1}{2} \sqrt{2 x + 1}$
31434	Write in Standard Form	(3b-8)+(7b+4)	$(3 b - 8) + (7 b + 4)$
31435	Simplify	3/(x+5)+(2x)/(x^2+7x+10)	$\frac{3}{x + 5} + \frac{2 x}{x^{2} + 7 x + 10}$
31436	Simplify	((x^3)/3)÷((5x^2)/7)	$\frac{x^{3}}{3} \div \frac{5 x^{2}}{7}$
31437	Solve for x	(-5x+5)+1=-4(x+7)	$(- 5 x + 5) + 1 = - 4 (x + 7)$
31438	Combine Like Terms	2(4x-1)+x	$2 (4 x - 1) + x$
31439	Solve for x	(x^2)/(1-x)=1x*10^-8	$\frac{x^{2}}{1 - x} = 1 x \cdot 10^{- 8}$
31440	Solve for x	2^x+x=11	$2^{x} + x = 11$
31441	Divide Using Synthetic Division	(4d^4+3d^2-6d+1)/(2d+1)	$\frac{4 d^{4} + 3 d^{2} - 6 d + 1}{2 d + 1}$
31442	Find the Second Term	a_n=21-2n^2	$a_{n} = 21 - 2 n^{2}$
31443	Graph	y<-x 3 y>=2x-1	$y < - x$ $3$ $y \geq 2 x - 1$
31444	Evaluate the Integral	integral of 5x^2(3x-4)(x-1) with respect to x	$\int 5 x^{2} (3 x - 4) (x - 1) d x$
31445	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+17x^2+30x+16 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 17 x^{2} + 30 x + 16$ is divided by $3 x + 2$
31446	Graph	f(x)=(2x-2)(x-3)(x+1)(x+4)^2	$f (x) = (2 x - 2) (x - 3) (x + 1) {(x + 4)}^{2}$
31447	Find the Parabola with Focus (6,0) and Directrix x=-3	(6,0) , x=-3	$(6, 0)$ , $x = - 3$
31448	Multiply	pi/3*2	$\frac{π}{3} \cdot 2$
31449	Simplify	(-2a^(2/3)b)^3(ab^(1/3))^3	${(- 2 a^{\frac{2}{3}} b)}^{3} {(a b^{\frac{1}{3}})}^{3}$
31450	Find the Derivative - d/dx	\| natural log of x\|	$\| \ln (x) \|$
31451	Solve for x	49^(2x^2+3)=343^(x^2+5)	$49^{2 x^{2} + 3} = 343^{x^{2} + 5}$
31452	Write the Fraction in Simplest Form	((3a^5r^2)^-1)/(2a^-5r^-2)	$\frac{{(3 a^{5} r^{2})}^{- 1}}{2 a^{- 5} r^{- 2}}$
31453	Simplify	(3+2i)+(-5+i)-2	$(3 + 2 i) + (- 5 + i) - 2$
31454	Simplify	(x^-3x^5)/(3x^4)	$\frac{x^{- 3} x^{5}}{3 x^{4}}$
31455	Convert to Trigonometric Form	1-2cos(x)^2+cos(x)^4	$1 - 2 \cos^{2} (x) + \cos^{4} (x)$
31456	Find the Derivative - d/dx	y=(4 square root of x)/(x^2-2)	$y = \frac{4 \sqrt{x}}{x^{2} - 2}$
31457	Evaluate the Limit	limit as x approaches -1 of (-5/x-5)/(x+1)	$lim_{x \to - 1} \frac{- \frac{5}{x} - 5}{x + 1}$
31458	Solve the Inequality for h	\|2h-3\|>=9	$\| 2 h - 3 \| \geq 9$
31459	Subtract	5/6-(-4/9)	$\frac{5}{6} - (- \frac{4}{9})$
31460	Graph	f(x)=(ax^n+bx+5)/(cx^m+dx^3-1)	$f (x) = \frac{a x^{n} + b x + 5}{c x^{m} + d x^{3} - 1}$
31461	Solve for x	3x-1/(2x-1)=4	$3 x - \frac{1}{2 x - 1} = 4$
31462	Simplify	5/(2x-6)-(x+2)/(x^2-4x+3)	$\frac{5}{2 x - 6} - \frac{x + 2}{x^{2} - 4 x + 3}$
31463	Simplify	(-6x^3y-9xy+18x^2y^2)/(3x^2y)	$\frac{- 6 x^{3} y - 9 x y + 18 x^{2} y^{2}}{3 x^{2} y}$
31464	Simplify	square root of 7+18 square root of 7-4 square root of 7-10 square root of 7	$\sqrt{7} + 18 \sqrt{7} - 4 \sqrt{7} - 10 \sqrt{7}$
31465	Simplify	-cos(x)^4+sin(x)^4	$- \cos^{4} (x) + \sin^{4} (x)$
31466	Find Where Increasing/Decreasing	300x-x^3	$300 x - x^{3}$
31467	Simplify	cube root of 3x^3+x	$\sqrt[3]{3 x^{3} + x}$
31468	Find the Quadratic Equation Given the Roots	3 , 4+i	$3$ , $4 + i$
31469	Solve for x	x+50 = square root of 2A+300	$x + 50 = \sqrt{2 A + 300}$
31470	Solve the Inequality for x	5-4x-x^2>0	$5 - 4 x - x^{2} > 0$
31471	Solve the Inequality for x	5+2x>=1-(-x+5/2)	$5 + 2 x \geq 1 - (- x + \frac{5}{2})$
31472	Graph	x>=0 x+y<=0 x-y<=4	$x \geq 0$ $x + y \leq 0$ $x - y \leq 4$
31473	Simplify	(8x-6)/(7x-42)-x/(x-6)	$\frac{8 x - 6}{7 x - 42} - \frac{x}{x - 6}$
31474	Solve the Inequality for v	\|v+5\|-6<-5	$\| v + 5 \| - 6 < - 5$
31475	Convert to Trigonometric Form	cot(theta)+tan(theta)	$\cot (θ) + \tan (θ)$
31476	Determine if (0,1) is a Solution	y>x-1 , (0,1)	$y > x - 1$ , $(0, 1)$
31477	Solve for θ in Degrees	4sin(theta)^2=3	$4 \sin^{2} (θ) = 3$
31478	Simplify	(x+6)/(x-1)+(1-x)/(x+3)	$\frac{x + 6}{x - 1} + \frac{1 - x}{x + 3}$
31479	Solve for x	x(x+3)-6=x^2+5x-8	$x (x + 3) - 6 = x^{2} + 5 x - 8$
31480	Solve for x	3x^2+18x+13=-2	$3 x^{2} + 18 x + 13 = - 2$
31481	Graph	2x>=y+2 2x-5y<=10	$2 x \geq y + 2$ $2 x - 5 y \leq 10$
31482	Simplify	15-8(3x-7)+x	$15 - 8 (3 x - 7) + x$
31483	Simplify	9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2	$9 a^{3} b^{6} (3 a^{3} b^{2} + 7 a^{2} b^{2}) - {(5 a^{4} b^{4})}^{2}$
31484	Subtract	(8x-3y)-(2y-13+5x)	$(8 x - 3 y) - (2 y - 13 + 5 x)$
31485	Evaluate Using L'Hospital's Rule	limit as x approaches 3 from the right of (x-3)/(\|x^3-3x^2\|)	$lim_{x \to 3^{+}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$
31486	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-4) and has a slope of -2/3 ?	What is the equation of the line that passes through the point $(6, - 4)$ and has a slope of $- \frac{2}{3}$ ?
31487	Simplify the Radical Expression	-3 square root of 45+2 square root of 12+3 square root of 6-3 square root of 20	$- 3 \sqrt{45} + 2 \sqrt{12} + 3 \sqrt{6} - 3 \sqrt{20}$
31488	Solve the System of Equations	y=-1+3/8x 2x-5y=6	$y = - 1 + \frac{3}{8} x$ $2 x - 5 y = 6$
31489	Find the Antiderivative	f(x)=1/(x^3)-2	$f (x) = \frac{1}{x^{3}} - 2$
31490	Solve for d	f=110+0.12d	$f = 110 + 0.12 d$
31491	Factor by Grouping	30mp^2+m^2p-6p	$30 m p^{2} + m^{2} p - 6 p$
31492	Simplify	x-1+2x+2+4x-1	$x - 1 + 2 x + 2 + 4 x - 1$
31493	Find the Slope	(-9,-9) and (-6,0)	$(- 9, - 9)$ and $(- 6, 0)$
31494	Simplify	2 square root of 3-5 square root of 2+10 square root of 3+14 square root of 2-3 square root of 2	$2 \sqrt{3} - 5 \sqrt{2} + 10 \sqrt{3} + 14 \sqrt{2} - 3 \sqrt{2}$
31495	Solve for j	0.1j-0.6=-0.1j	$0.1 j - 0.6 = - 0.1 j$
31496	Solve for x	(3x)^(1/3)=-3	${(3 x)}^{\frac{1}{3}} = - 3$
31497	Solve for d	(d-2)/(d-3)=1/(-m)	$\frac{d - 2}{d - 3} = \frac{1}{- m}$
31498	Evaluate	20% of 25	$20 %$ of $25$
31499	Divide Using Long Polynomial Division	(x^4+7x^2+10)÷(x^2+2)	$(x^{4} + 7 x^{2} + 10) \div (x^{2} + 2)$
31500	Simplify	(10x^4-16)+(12-6x^3+11x^4)	$(10 x^{4} - 16) + (12 - 6 x^{3} + 11 x^{4})$