Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33401	Find All Complex Solutions	2/x-(3x)/(x+3)=x/(x+3)	$\frac{2}{x} - \frac{3 x}{x + 3} = \frac{x}{x + 3}$
33402	Find the Maximum/Minimum Value	2sin(x-2pi)	$2 \sin (x - 2 π)$
33403	Factor	216r^9+8s^3t^3	$216 r^{9} + 8 s^{3} t^{3}$
33404	Simplify	2 square root of -16- square root of 16-2 cube root of -216-3 cube root of -343	$2 \sqrt{- 16} - \sqrt{16} - 2 \sqrt[3]{- 216} - 3 \sqrt[3]{- 343}$
33405	Find dx/dy	y=x^3+3x^2+1	$y = x^{3} + 3 x^{2} + 1$
33406	Solve for t	5(2t-3)-7.5t=0.5(12-t)	$5 (2 t - 3) - 7.5 t = 0.5 (12 - t)$
33407	Solve the Function Operation	If f(x)=x^2-5x+6 and g(x)=2x^2+4x-1 ; find: f(5)	If $f (x) = x^{2} - 5 x + 6$ and $g (x) = 2 x^{2} + 4 x - 1$ ; find: $f (5)$
33408	Simplify	-4/(2 square root of 5)	$- \frac{4}{2 \sqrt{5}}$
33409	Find the Derivative - d/dx	( natural log of 3x)/x	$\frac{\ln (3 x)}{x}$
33410	Find the Quotient	(y^9)÷(y^3)	$y^{9} \div y^{3}$
33411	Factor	(2x+y)^2-y^2	${(2 x + y)}^{2} - y^{2}$
33412	Solve the Function Operation	f(x)=7(x^(1/5)+7) ; find f^-1(x)	$f (x) = 7 (x^{\frac{1}{5}} + 7)$ ; find $f^{- 1} (x)$
33413	Graph	3(7x+17)>-19+14x	$3 (7 x + 17) > - 19 + 14 x$
33414	Simplify	- square root of 54a^2b+ square root of 24a^2b	$- \sqrt{54 a^{2} b} + \sqrt{24 a^{2} b}$
33415	Evaluate the Integral	integral of (x-1)/(2x+4) with respect to x	$\int \frac{x - 1}{2 x + 4} d x$
33416	Write the Fraction in Simplest Form	((2k^5)^-3)/(2j^5k^3)	$\frac{{(2 k^{5})}^{- 3}}{2 j^{5} k^{3}}$
33417	Simplify	1/4z+1/5z	$\frac{1}{4} z + \frac{1}{5} z$
33418	Evaluate the Integral	integral from 0 to a of (x^3)/( square root of a^4+x^4) with respect to x	$\int_{0}^{a} \frac{x^{3}}{\sqrt{a^{4} + x^{4}}} d x$
33419	Evaluate the Limit	limit as x approaches 5 of (-5(x-5))/(3\|x-5\|)	$lim_{x \to 5} \frac{- 5 (x - 5)}{3 \| x - 5 \|}$
33420	Evaluate	-2=-5+ square root of n+7	$- 2 = - 5 + \sqrt{n + 7}$
33421	Find the Derivative - d/dx	natural log of x^2+1	$\ln (x^{2}) + 1$
33422	Write in Standard Form	(-4k^4+14+3k^2)+(-3k^4-14k^2-8)	$(- 4 k^{4} + 14 + 3 k^{2}) + (- 3 k^{4} - 14 k^{2} - 8)$
33423	Find the Exact Value	((-1)^-1)^-1	${({(- 1)}^{- 1})}^{- 1}$
33424	Solve for u	-52=3u-15u-16	$- 52 = 3 u - 15 u - 16$
33425	Evaluate	18÷3+(9-5)^3	$18 \div 3 + {(9 - 5)}^{3}$
33426	Evaluate	arctan(sin(pi/2))	$\arctan (\sin (\frac{π}{2}))$
33427	Evaluate	(x^-2y^-4)/(xy^-6)	$\frac{x^{- 2} y^{- 4}}{x y^{- 6}}$
33428	Solve for x	8*e^(x-1)=56	$8 \cdot e^{x - 1} = 56$
33429	Find the Domain	F(x) = log base 2 of x^2	$F (x) = \log_{2} (x^{2})$
33430	Simplify	2x+3y-(x+2y)+4x+y	$2 x + 3 y - (x + 2 y) + 4 x + y$
33431	Find the Reference Angle	cot(210 degrees )	$\cot (210 °)$
33432	Evaluate	(4^-5)/(4^4)*4^-5	$\frac{4^{- 5}}{4^{4}} \cdot 4^{- 5}$
33433	Write in Slope-Intercept Form	(-6,-7) and (3,-4)	$(- 6, - 7)$ and $(3, - 4)$
33434	Simplify	(2ab)/(a^2-6ab+9b^2)*(a^2-9b^2)	$\frac{2 a b}{a^{2} - 6 a b + 9 b^{2}} \times (a^{2} - 9 b^{2})$
33435	Simplify	cube root of (3v)/(4pi)	$\sqrt[3]{\frac{3 v}{4 π}}$
33436	Multiply	(x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)	$\frac{x^{2} (x - 4)}{x - 3} \cdot \frac{(x - 3) (x + 6)}{x^{3}}$
33437	Find the Roots (Zeros)	y=4sin(x)	$y = 4 \sin (x)$
33438	Add	1/2+5/(2x)	$\frac{1}{2} + \frac{5}{2 x}$
33439	Evaluate	\|1/6-2\|	$\| \frac{1}{6} - 2 \|$
33440	Multiply	Multiply (x^2+5x)/(x^2-25)*(8x-40)/(4x)	Multiply $\frac{x^{2} + 5 x}{x^{2} - 25} \cdot \frac{8 x - 40}{4 x}$
33441	Simplify	(y/x)/(x/y+y/x)	$\frac{\frac{y}{x}}{\frac{x}{y} + \frac{y}{x}}$
33442	Find the Product	cube root of x^2* fourth root of x^3	$\sqrt[3]{x^{2}} \cdot \sqrt[4]{x^{3}}$
33443	Evaluate the Integral	integral of 3xcos(x^2) with respect to x	$\int 3 x \cos (x^{2}) d x$
33444	Solve for x	e^(3x)+5=6	$e^{3 x} + 5 = 6$
33445	Graph	f(x)=-3tan(1/2(x+pi/2))-2	$f (x) = - 3 \tan (\frac{1}{2} (x + \frac{π}{2})) - 2$
33446	Solve for n	n+2<6	$n + 2 < 6$
33447	Simplify	(3^3)(4^0)^2(3*2)^-3(2^2)	$(3^{3}) {(4^{0})}^{2} {(3 \cdot 2)}^{- 3} (2^{2})$
33448	Solve for x	3(2(x-4)-4x)=-12	$3 (2 (x - 4) - 4 x) = - 12$
33449	Evaluate the Limit	limit as x approaches -2 of x^3+x^2-x	$lim_{x \to - 2} x^{3} + x^{2} - x$
33450	Find the Antiderivative	2x+4x^3+ square root of x^3+8	$2 x + 4 x^{3} + \sqrt{x^{3}} + 8$
33451	Factor by Grouping	7a-7b+an-bn	$7 a - 7 b + a n - b n$
33452	Simplify	(sec(x)^2-tan(x)^2)/(cos(x)^2+sin(x)^2)	$\frac{\sec^{2} (x) - \tan^{2} (x)}{\cos^{2} (x) + \sin^{2} (x)}$
33453	Graph	y=1/4+x	$y = \frac{1}{4} + x$
33454	Graph	2>x-2 or 4<x-2	$2 > x - 2$ or $4 < x - 2$
33455	Solve the Inequality for x	2<=x	$2 \leq x$
33456	Factor	16a^4+64a^3b^2+96a^2b^4+64ab^6+16b^8	$16 a^{4} + 64 a^{3} b^{2} + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$
33457	Multiply	fourth root of 10* fourth root of 10	$\sqrt[4]{10} \cdot \sqrt[4]{10}$
33458	Simplify	(3x^2-9x)/(2x^3)*(x^6)/(5x^2-15x)	$\frac{3 x^{2} - 9 x}{2 x^{3}} \cdot \frac{x^{6}}{5 x^{2} - 15 x}$
33459	Solve for x	2/(3x)=1/4-1/(6x)	$\frac{2}{3 x} = \frac{1}{4} - \frac{1}{6 x}$
33460	Find the GCF	2xy+3x^2y	$2 x y + 3 x^{2} y$
33461	Divide	(60a^2b^3-48b^4+84a^5b^2)/(12ab^2)	$\frac{60 a^{2} b^{3} - 48 b^{4} + 84 a^{5} b^{2}}{12 a b^{2}}$
33462	Find the Roots (Zeros)	(x+2)(x+5)-3x=0	$(x + 2) (x + 5) - 3 x = 0$
33463	Factor by Grouping	9y^6+6y^4+y^2	$9 y^{6} + 6 y^{4} + y^{2}$
33464	Evaluate the Limit	limit as x approaches negative infinity of (4x)/(x^2-8x+3)	$lim_{x \to - \infty} \frac{4 x}{x^{2} - 8 x + 3}$
33465	Find the Complex Conjugate	3 square root of 5+2 square root of 6	$3 \sqrt{5} + 2 \sqrt{6}$
33466	Evaluate	3^(x+1)>243	$3^{x + 1} > 243$
33467	Simplify	-6x^52x^34x	$- 6 x^{5} \cdot 2 x^{3} \cdot 4 x$
33468	Factor	y^2-(5x-3)^2	$y^{2} - {(5 x - 3)}^{2}$
33469	Solve the Inequality for x	1/3x+5/6x<7/3	$\frac{1}{3} x + \frac{5}{6} x < \frac{7}{3}$
33470	Subtract	1/(x^2-10x+24)-(2x)/(x-6)	$\frac{1}{x^{2} - 10 x + 24} - \frac{2 x}{x - 6}$
33471	Evaluate	Evaluate -7*(-7)^-4	Evaluate $- 7 \cdot {(- 7)}^{- 4}$
33472	Find the Antiderivative	f(x)=(2x^2)/1	$f (x) = \frac{2 x^{2}}{1}$
33473	Multiply	square root of 12* square root of y^3* square root of 6y	$\sqrt{12} \cdot \sqrt{y^{3}} \cdot \sqrt{6 y}$
33474	Find the Maximum/Minimum Value	f(x)=-1/2x^4+4x^3-5x^2-1	$f (x) = - \frac{1}{2} x^{4} + 4 x^{3} - 5 x^{2} - 1$
33475	Find the x and y Intercepts	f(x)=-(x^2+16)(x+2)(x^2-2)	$f (x) = - (x^{2} + 16) (x + 2) (x^{2} - 2)$
33476	Find the Derivative - d/dx	y=(x^3-2) square root of x^2+1	$y = (x^{3} - 2) \sqrt{x^{2} + 1}$
33477	Graph	x+y<=7 and y<=-7	$x + y \leq 7$ and $y \leq - 7$
33478	Find the Derivative of the Integral	integral from 4 to x^2 of square root of t with respect to t	$\int_{4}^{x^{2}} \sqrt{t} d t$
33479	Graph	4x+2y=6 4y=-8x+4	$4 x + 2 y = 6$ $4 y = - 8 x + 4$
33480	Evaluate the Integral	integral of (4x^3-8x^2+1)/(x^2) with respect to x	$\int \frac{4 x^{3} - 8 x^{2} + 1}{x^{2}} d x$
33481	Simplify	4/(3x+6)-(x+1)/(x^2-4)	$\frac{4}{3 x + 6} - \frac{x + 1}{x^{2} - 4}$
33482	Solve for x	-x^3-4=0.5x^2+x+4	$- x^{3} - 4 = 0.5 x^{2} + x + 4$
33483	Graph	(x-4)/5>=2	$\frac{x - 4}{5} \geq 2$
33484	Graph	y=1+ square root of 3-x	$y = 1 + \sqrt{3 - x}$
33485	Solve for a	square root of -36+13a=a	$\sqrt{- 36 + 13 a} = a$
33486	Simplify	((a^5b^-7)/(a^3b^-9))^-1(a/(2b))^-2	${(\frac{a^{5} b^{- 7}}{a^{3} b^{- 9}})}^{- 1} {(\frac{a}{2 b})}^{- 2}$
33487	Evaluate	7/x=2/(x-5)	$\frac{7}{x} = \frac{2}{x - 5}$
33488	Solve the Function Operation	Given that f(x)=x^2-16x+60 and g(x)=x-6 ; find (f(x))÷(g(x)) and express the result in standard form.	Given that $f (x) = x^{2} - 16 x + 60$ and $g (x) = x - 6$ ; find $f (x) \div g (x)$ and express the result in standard form.
33489	Evaluate	1/4 log base 4 of 16	$\frac{1}{4} \log_{4} (16)$
33490	Convert from Radians to Degrees	tan(pi/4)	$\tan (\frac{π}{4})$
33491	Divide Using Long Polynomial Division	(2x^4-5x^3+2x^2+5x-10)/(x-2)	$\frac{2 x^{4} - 5 x^{3} + 2 x^{2} + 5 x - 10}{x - 2}$
33492	Evaluate	3^(2x)>9	$3^{2 x} > 9$
33493	Evaluate the Integral	integral from 0 to infinity of x/((1+x^2)^2) with respect to x	$\int_{0}^{\infty} \frac{x}{{(1 + x^{2})}^{2}} d x$
33494	Solve for y	(3y+4)/(y-1)=2+7/(y-1)	$\frac{3 y + 4}{y - 1} = 2 + \frac{7}{y - 1}$
33495	Find the Derivative - d/dx	x/4arcsin(x)	$\frac{x}{4} \arcsin (x)$
33496	Find the Degree	arcsin(-( square root of 2)/2)	$\arcsin (- \frac{\sqrt{2}}{2})$
33497	Graph	2/3(x+7)(x+1)	$\frac{2}{3} (x + 7) (x + 1)$
33498	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+3x^2+7x+6 is divided by x+1	Use the long division method to find the result when $2 x^{3} + 3 x^{2} + 7 x + 6$ is divided by $x + 1$
33499	Solve for x	a-b=cx-fy	$a - b = c x - f y$
33500	Convert to a Percentage	57 is what percent of 60	$57$ is what percent of $60$