Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41401	Simplify	((2x^0y^3)^-3)/(x^3y^4*2x^2y^0)	$\frac{{(2 x^{0} y^{3})}^{- 3}}{x^{3} y^{4} \cdot 2 x^{2} y^{0}}$
41402	Find dy/dx	-x^2+y^2=-3y	$- x^{2} + y^{2} = - 3 y$
41403	Solve for x	square root of x^2-5x=6	$\sqrt{x^{2}} - 5 x = 6$
41404	Find the Second Derivative	e^x+e^(-x)	$e^{x} + e^{- x}$
41405	Simplify the Radical Expression	1/( square root of x^3)	$\frac{1}{\sqrt{x^{3}}}$
41406	Solve the System of Inequalities	x<3 and x>-4	$x < 3$ and $x > - 4$
41407	Find the Inverse	f(x)=(3x)^(-2/3) on the domain x>0	$f (x) = {(3 x)}^{- \frac{2}{3}}$ on the domain $x > 0$
41408	Simplify	25x-3(4(x+6)-3)	$25 x - 3 (4 (x + 6) - 3)$
41409	Simplify	10(5g+2h-3)-4(3g-4h+2)	$10 (5 g + 2 h - 3) - 4 (3 g - 4 h + 2)$
41410	Find the Derivative - d/dx	y=((2x^4-1)(bx^5+3))/(x^5)	$y = \frac{(2 x^{4} - 1) (b x^{5} + 3)}{x^{5}}$
41411	Evaluate	-3 11/12-3 1/3	$- 3 \frac{11}{12} - 3 \frac{1}{3}$
41412	Simplify	(18xy^3z^2)(x^3yz^5)^3(z^6)^2	$(18 x y^{3} z^{2}) {(x^{3} y z^{5})}^{3} {(z^{6})}^{2}$
41413	Write as a Single Logarithm	log base 2 of z+2 log base 2 of x+4 log base 9 of y+12 log base 9 of x-2 log base 2 of y	$\log_{2} (z) + 2 \log_{2} (x) + 4 \log_{9} (y) + 12 \log_{9} (x) - 2 \log_{2} (y)$
41414	Solve the Function Operation	the expression 4j+2w represents the total cost of buying juice cartons (j) and bottles of water (w) What is the total cost if Hamda buys 7 juice cartons and 3 bottles of water?	the expression $4 j + 2 w$ represents the total cost of buying juice cartons $(j)$ and bottles of water $(w)$ What is the total cost if Hamda buys $7$ juice cartons and $3$ bottles of water?
41415	Evaluate	(4(1-(5-2)^3))/(2^3)	$\frac{4 (1 - {(5 - 2)}^{3})}{2^{3}}$
41416	Graph	f(x)=1/3e^x	$f (x) = \frac{1}{3} e^{x}$
41417	Solve for x	4x+2-x=2x+7	$4 x + 2 - x = 2 x + 7$
41418	Solve the Inequality for g	7/10>4/5+g	$\frac{7}{10} > \frac{4}{5} + g$
41419	Simplify	9x^5+3x(4x^4-3x^2)^2	$9 x^{5} + 3 x {(4 x^{4} - 3 x^{2})}^{2}$
41420	Find the Possible Factors	factors of 56	factors of $56$
41421	Solve the Inequality for m	1/5(4m+10)<4/5m+2	$\frac{1}{5} (4 m + 10) < \frac{4}{5} m + 2$
41422	Integrate By Parts	integral of 2xsin(x) with respect to x	$\int 2 x \sin (x) d x$
41423	Find the Secant Given the Point	(-2/7,(3 square root of 5)/7)	$(- \frac{2}{7}, \frac{3 \sqrt{5}}{7})$
41424	Write in Slope-Intercept Form	(3,-5) and (5,-1)	$(3, - 5)$ and $(5, - 1)$
41425	Evaluate	-csc((3pi)/4)	$- \csc (\frac{3 π}{4})$
41426	Factor	(8xy+14y)	$(8 x y + 14 y)$
41427	Find the Holes in the Graph	f(x)=(x^2-x-12)/(x^2+x-6)	$f (x) = \frac{x^{2} - x - 12}{x^{2} + x - 6}$
41428	Find the Excluded Values	(x^2-25)/(3x-7)	$\frac{x^{2} - 25}{3 x - 7}$
41429	Convert from Radians to Degrees	2/3rad	$\frac{2}{3}$ rad
41430	Evaluate	12-((6-4)+(8-15))-(4-(3+2)-(1-7))	$12 - ((6 - 4) + (8 - 15)) - (4 - (3 + 2) - (1 - 7))$
41431	Evaluate	32% of 50	$32 %$ of $50$
41432	Evaluate Using L'Hospital's Rule	limit as r approaches 0 from the right of -11(r/3) natural log of r/5	$lim_{r \to 0^{+}} - 11 (\frac{r}{3}) \ln (\frac{r}{5})$
41433	Solve for w	f=w+7m	$f = w + 7 m$
41434	Factor	(x-1)/(x^2+x-6)-(x-2)/(x^2+4x+3)	$\frac{x - 1}{x^{2} + x - 6} - \frac{x - 2}{x^{2} + 4 x + 3}$
41435	Simplify	(6x^-1y^(7/2))/( square root of 16x^2y^2)	$\frac{6 x^{- 1} y^{\frac{7}{2}}}{\sqrt{16 x^{2} y^{2}}}$
41436	Solve the Rational Equation for x	-7/(4x)+5/(6x)=1	$- \frac{7}{4 x} + \frac{5}{6 x} = 1$
41437	Evaluate	(1/x-1/y)/(1/x+1/y)	$\frac{\frac{1}{x} - \frac{1}{y}}{\frac{1}{x} + \frac{1}{y}}$
41438	Graph	f(x)=-x/2+5/2	$f (x) = - \frac{x}{2} + \frac{5}{2}$
41439	Find the Maximum/Minimum Value	f(x)=1/3x^3-2x^2-5x	$f (x) = \frac{1}{3} x^{3} - 2 x^{2} - 5 x$
41440	Simplify	( cube root of 16* cube root of 8)/( cube root of 2)	$\frac{\sqrt[3]{16} \cdot \sqrt[3]{8}}{\sqrt[3]{2}}$
41441	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,1) and has a slope of -3/4 ?	What is the equation of the line that passes through the point $(- 4, 1)$ and has a slope of $- \frac{3}{4}$ ?
41442	Evaluate	10/(3/(1/6))-(2.8+1.2)	$\frac{10}{\frac{3}{\frac{1}{6}}} - (2.8 + 1.2)$
41443	Solve for x	5(x-2)<=4x-5	$5 (x - 2) \leq 4 x - 5$
41444	Simplify the Radical Expression	4 square root of 8* square root of 2	$4 \sqrt{8} \cdot \sqrt{2}$
41445	Evaluate the Integral	integral of 1/(x square root of 4x^2+1) with respect to x	$\int \frac{1}{x \sqrt{4 x^{2} + 1}} d x$
41446	Solve the Inequality for x	-3(x-3)<-2x-x+1	$- 3 (x - 3) < - 2 x - x + 1$
41447	Simplify	(27x^3+18x-36)/-9	$\frac{27 x^{3} + 18 x - 36}{- 9}$
41448	Simplify	limit as x approaches infinity of (2x+3)/(5x^2+4)	$lim_{x \to \infty} \frac{2 x + 3}{5 x^{2} + 4}$
41449	Divide	((x^2-25)/(x^2-10x+25))÷((x^2+10x+25)/(2x-10))	$\frac{x^{2} - 25}{x^{2} - 10 x + 25} \div \frac{x^{2} + 10 x + 25}{2 x - 10}$
41450	Solve for x	(x^2-2)^2+18=9x^2-18	${(x^{2} - 2)}^{2} + 18 = 9 x^{2} - 18$
41451	Simplify	36-(-(9c-15))	$36 - (- (9 c - 15))$
41452	Simplify	(x+1)/(x^3-x)	$\frac{x + 1}{x^{3} - x}$
41453	Simplify	(x^6)^(3/4)	${(x^{6})}^{\frac{3}{4}}$
41454	Convert to Scientific Notation	(10^8)/(10^4)	$\frac{10^{8}}{10^{4}}$
41455	Graph	1/3x+2x>=-3	$\frac{1}{3} x + 2 x \geq - 3$
41456	Simplify the Radical Expression	( sixth root of j^5)/( fifth root of j^4)	$\frac{\sqrt[6]{j^{5}}}{\sqrt[5]{j^{4}}}$
41457	Divide Using Long Polynomial Division	(4x^3)÷(2x)	$(4 x^{3}) \div (2 x)$
41458	Simplify	(4x+8)/x*5/(x+2)	$\frac{4 x + 8}{x} \cdot \frac{5}{x + 2}$
41459	Solve the System of Equations	5x+6y=26 and -x+y=-14	$5 x + 6 y = 26$ and $- x + y = - 14$
41460	Find g(h(x))	g(x)=2x and h(x)=x^2+4	$g (x) = 2 x$ and $h (x) = x^{2} + 4$
41461	Combine Like Terms	(2x^2+3y^2-z^2)-(x^2-y^2-z^2)+(4x^2-3y^2)	$(2 x^{2} + 3 y^{2} - z^{2}) - (x^{2} - y^{2} - z^{2}) + (4 x^{2} - 3 y^{2})$
41462	Multiply	(x+2y+3z)^2	${(x + 2 y + 3 z)}^{2}$
41463	Simplify	(7mn^2)(-15m^-4n^3)	$(7 m n^{2}) (- 15 m^{- 4} n^{3})$
41464	Convert to Rectangular Coordinates	(6 square root of 3,(7pi)/6)	$(6 \sqrt{3}, \frac{7 π}{6})$
41465	Evaluate	(5+2^3)^2-5^2	${(5 + 2^{3})}^{2} - 5^{2}$
41466	Solve the Inequality for x	a(bx-c)>=bc	$a (b x - c) \geq b c$
41467	Evaluate	1320*1/(2pi)	$1320 \cdot \frac{1}{2 π}$
41468	Solve for n	(n+6)/(n-7)=2s	$\frac{n + 6}{n - 7} = 2 s$
41469	Solve for θ	0<=theta<=2pi	$0 \leq θ \leq 2 π$
41470	Write in Standard Form	(2y^2-5y+3)+(y^2-2y-5)	$(2 y^{2} - 5 y + 3) + (y^{2} - 2 y - 5)$
41471	Simplify	square root of 3^3 square root of 2	$\sqrt{3^{3}} \sqrt{2}$
41472	Simplify	4p^2+2q-3p^2-3q+pq	$4 p^{2} + 2 q - 3 p^{2} - 3 q + p q$
41473	Multiply	x/3*2	$\frac{x}{3} \cdot 2$
41474	Solve for θ in Degrees	8tan(theta)^2+10tan(theta)+10=7	$8 \tan^{2} (θ) + 10 \tan (θ) + 10 = 7$
41475	Simplify	-(6x+3y)-(x+y)	$- (6 x + 3 y) - (x + y)$
41476	Find the Derivative - d/dx	d/(dx)cos(2x)	$\frac{d}{d x} \cos (2 x)$
41477	Find the Distance Between Two Points	(3,pi/2) , (8,(4pi)/3)	$(3, \frac{π}{2})$ , $(8, \frac{4 π}{3})$
41478	Simplify	3x^2y+7xy^2+2x^2y-9xy^2	$3 x^{2} y + 7 x y^{2} + 2 x^{2} y - 9 x y^{2}$
41479	Solve for d	d=( square root of 43)^2	$d = {(\sqrt{43})}^{2}$
41480	Find the Equation Using Point-Slope Formula	(-2,6) and (1,1)	$(- 2, 6)$ and $(1, 1)$
41481	Solve for c	167=8c^3-9	$167 = 8 c^{3} - 9$
41482	Find the x and y Intercepts	y=1/8x^(3/2)-8	$y = \frac{1}{8} x^{\frac{3}{2}} - 8$
41483	Simplify the Radical Expression	3x cube root of 648x^4y^8	$3 x \sqrt[3]{648 x^{4} y^{8}}$
41484	Simplify the Radical Expression	( fourth root of p^7q^10)/( fourth root of p^2q^2)	$\frac{\sqrt[4]{p^{7} q^{10}}}{\sqrt[4]{p^{2} q^{2}}}$
41485	Evaluate	((m+3)/(m^2-16))/((m^2-9)/(m+4))	$\frac{\frac{m + 3}{m^{2} - 16}}{\frac{m^{2} - 9}{m + 4}}$
41486	Solve the Inequality for x	cos(x)>-1/2	$\cos (x) > - \frac{1}{2}$
41487	Solve for d	3(4d+1)-9d=6(2-d)	$3 (4 d + 1) - 9 d = 6 (2 - d)$
41488	Simplify	7y*(-2y^3)+9y^4	$7 y \cdot (- 2 y^{3}) + 9 y^{4}$
41489	Solve the Inequality for c	-8c+13>=47	$- 8 c + 13 \geq 47$
41490	Find the Derivative - d/dx	(3-5x)/(2x^2-3)	$\frac{3 - 5 x}{2 x^{2} - 3}$
41491	Solve for x in Radians	2sin(pi/3x) = square root of 2	$2 \sin (\frac{π}{3} x) = \sqrt{2}$
41492	Simplify	((x^4y)/(x^3y^-5))^3	${(\frac{x^{4} y}{x^{3} y^{- 5}})}^{3}$
41493	Evaluate the Integral	integral from 1 to 4 of (x^2+x) with respect to x	$\int_{1}^{4} (x^{2} + x) d x$
41494	Solve for x	(-x)/4=-11/2	$\frac{- x}{4} = - \frac{11}{2}$
41495	Divide Using Long Polynomial Division	9x^3+18x^2+23x+30 divided by 3x+5	$9 x^{3} + 18 x^{2} + 23 x + 30$ divided by $3 x + 5$
41496	Solve for x	x/2-(x+2)/7=3	$\frac{x}{2} - \frac{x + 2}{7} = 3$
41497	Simplify	(6x^3)/(x^3)*r^4	$\frac{6 x^{3}}{x^{3}} \cdot r^{4}$
41498	Evaluate the Limit	limit as x approaches negative infinity of (2x^2-7x^4)/(9x^2+5x-6)	$lim_{x \to - \infty} \frac{2 x^{2} - 7 x^{4}}{9 x^{2} + 5 x - 6}$
41499	Evaluate the Limit	limit as x approaches infinity of (x^2+5)/(x(2x^2+3))	$lim_{x \to \infty} \frac{x^{2} + 5}{x (2 x^{2} + 3)}$
41500	Find the Domain	f(x,y) = square root of y^2-x	$f (x, y) = \sqrt{y^{2} - x}$