Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
32401	Write in Slope-Intercept Form	3y+2=2y-5x	$3 y + 2 = 2 y - 5 x$
32402	Solve for x	(x-9)(x+2)=x^2+3	$(x - 9) (x + 2) = x^{2} + 3$
32403	Find dy/dx	2y=-2x^2+y^2	$2 y = - 2 x^{2} + y^{2}$
32404	Simplify	Simplify ((2x^3-12x^2+16x)/(x^2+3x-28))÷((4x^2-36x+56)/(2x^2-98))	Simplify $\frac{2 x^{3} - 12 x^{2} + 16 x}{x^{2} + 3 x - 28} \div \frac{4 x^{2} - 36 x + 56}{2 x^{2} - 98}$
32405	Solve the Inequality for x	7x^2+4x+3>3x^2+4x+4	$7 x^{2} + 4 x + 3 > 3 x^{2} + 4 x + 4$
32406	Evaluate the Integral	integral from 0 to pi/8 of cos(2x)^4 with respect to x	$\int_{0}^{\frac{π}{8}} \cos^{4} (2 x) d x$
32407	Find the Exact Value	cot(-(25pi)/6)	$\cot (- \frac{25 π}{6})$
32408	Factor	4x^2=8x	$4 x^{2} = 8 x$
32409	Simplify	-4x^3+3-3-3x^3+4+4x^3+2y^2	$- 4 x^{3} + 3 - 3 - 3 x^{3} + 4 + 4 x^{3} + 2 y^{2}$
32410	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+11x^2+16x+20 is divided by x+2	Use the long division method to find the result when $4 x^{3} + 11 x^{2} + 16 x + 20$ is divided by $x + 2$
32411	Solve for x	6(1/2)^x-2=22	$6 {(\frac{1}{2})}^{x} - 2 = 22$
32412	Simplify	((x^2y)/2)^-3	${(\frac{x^{2} y}{2})}^{- 3}$
32413	Solve for x	3=54x^(3/2)	$3 = 54 x^{\frac{3}{2}}$
32414	Find the Maximum/Minimum Value	(x+2)(x+1)(x-3)	$(x + 2) (x + 1) (x - 3)$
32415	Simplify	(35i^7j^3)/(7i^2j^3)	$\frac{35 i^{7} j^{3}}{7 i^{2} j^{3}}$
32416	Add	(-6+5i)+(-7+i)	$(- 6 + 5 i) + (- 7 + i)$
32417	Simplify	(4+3 square root of x)(4-3 square root of x)	$(4 + 3 \sqrt{x}) (4 - 3 \sqrt{x})$
32418	Simplify	1/(6x)-1/2	$\frac{1}{6 x} - \frac{1}{2}$
32419	Evaluate the Integral	integral of 3/( fourth root of 2x+5) with respect to x	$\int \frac{3}{\sqrt[4]{2 x + 5}} d x$
32420	Divide	Divide 3x^3-3x^2-4x+3 by x+3	Divide $3 x^{3} - 3 x^{2} - 4 x + 3$ by $x + 3$
32421	Simplify	Simplify (-5z)^3	Simplify ${(- 5 z)}^{3}$
32422	Solve the Inequality for x	3x+2>-2(x-1)	$3 x + 2 > - 2 (x - 1)$
32423	Simplify	(3x-6)/(4-9x^2)-1/(3x-2)+1/(3x+2)	$\frac{3 x - 6}{4 - 9 x^{2}} - \frac{1}{3 x - 2} + \frac{1}{3 x + 2}$
32424	Evaluate	225x^-4-34x^-2+1=0	$225 x^{- 4} - 34 x^{- 2} + 1 = 0$
32425	Solve for n	1/3(n+1)+2=1/6(3n-5)	$\frac{1}{3} (n + 1) + 2 = \frac{1}{6} (3 n - 5)$
32426	Simplify	(4+ square root of 6)/(2+ square root of 6)	$\frac{4 + \sqrt{6}}{2 + \sqrt{6}}$
32427	Graph	f(x)=(x+1)(x+3)(x-4)^2(x-2)	$f (x) = (x + 1) (x + 3) {(x - 4)}^{2} (x - 2)$
32428	Simplify the Radical Expression	cube root of 4/(9m^2)	$\sqrt[3]{\frac{4}{9 m^{2}}}$
32429	Simplify	i^3+i^5+i^7+i^9	$i^{3} + i^{5} + i^{7} + i^{9}$
32430	Convert to a Decimal	5rev per s	$5$ revolutions per second
32431	Solve the Inequality for x	x-3/4<1/2	$x - \frac{3}{4} < \frac{1}{2}$
32432	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3-3x^2+4x-5 is divided by x-1	Use the long division method to find the result when $4 x^{3} - 3 x^{2} + 4 x - 5$ is divided by $x - 1$
32433	Solve the System of Equations	9x-6y=-12 and 8x-5y=-8	$9 x - 6 y = - 12$ and $8 x - 5 y = - 8$
32434	Find the Integral	e^(-st)	$e^{- s t}$
32435	Find the Product	(2xy)^2(-3x^2)(4y^2)	${(2 x y)}^{2} (- 3 x^{2}) (4 y^{2})$
32436	Multiply	square root of 6* square root of 6* square root of 6	$\sqrt{6} \cdot \sqrt{6} \cdot \sqrt{6}$
32437	Solve the Rational Equation for x	square root of x-10 = square root of x-6	$\sqrt{x} - 10 = \sqrt{x - 6}$
32438	Simplify	(c^-2)/(d^(1/3))	$\frac{c^{- 2}}{d^{\frac{1}{3}}}$
32439	Simplify	(14k^9m^3)/(2(km^3))	$\frac{14 k^{9} m^{3}}{2 {km}^{3}}$
32440	Solve for x	2 log base 3 of x- log base 3 of x-2=2	$2 \log_{3} (x) - \log_{3} (x - 2) = 2$
32441	Simplify	3/(5xy^2)+(4y)/(2x^2y)	$\frac{3}{5 x y^{2}} + \frac{4 y}{2 x^{2} y}$
32442	Evaluate the Integral	integral of (5x^-3-3x^5+4x^4) with respect to x	$\int (5 x^{- 3} - 3 x^{5} + 4 x^{4}) d x$
32443	Divide	((2a^3b^4)^3)/((2ab^2)^5)	$\frac{{(2 a^{3} b^{4})}^{3}}{{(2 a b^{2})}^{5}}$
32444	Simplify	(ab^2)^0	${(a b^{2})}^{0}$
32445	Solve by Graphing	x-5y=5 y=-4/5x-6	$x - 5 y = 5$ $y = - \frac{4}{5} x - 6$
32446	Evaluate	(1-1/x)/2	$\frac{1 - \frac{1}{x}}{2}$
32447	Simplify	1/(6x^2)-x/3	$\frac{1}{6 x^{2}} - \frac{x}{3}$
32448	Solve the Inequality for x	x-10/(x-1)>=4	$x - \frac{10}{x - 1} \geq 4$
32449	Simplify	square root of 3/(5^3)	$\sqrt{\frac{3}{5^{3}}}$
32450	Solve for k	(18+7k)^(1/2)=k	${(18 + 7 k)}^{\frac{1}{2}} = k$
32451	Solve the Inequality for n	32-5n>=7-5(n-5)	$32 - 5 n \geq 7 - 5 (n - 5)$
32452	Simplify	((-x^(1/2)y^(2/3))/(x^(1/3)y^(3/4)))^6	${(\frac{- x^{\frac{1}{2}} y^{\frac{2}{3}}}{x^{\frac{1}{3}} y^{\frac{3}{4}}})}^{6}$
32453	Solve the System of Equations	2x+y=-2 y=x-8	$2 x + y = - 2$ $y = x - 8$
32454	Find f(g(x))	f(x)=3x-3 , g(x)=1/3x+4	$f (x) = 3 x - 3$ , $g (x) = \frac{1}{3} x + 4$
32455	Solve for x	-4=x^2+4x	$- 4 = x^{2} + 4 x$
32456	Simplify	((3x^2-11x+6)/(x^2-9))÷((3x^2+x-2)/(3x^2+9x))	$\frac{3 x^{2} - 11 x + 6}{x^{2} - 9} \div \frac{3 x^{2} + x - 2}{3 x^{2} + 9 x}$
32457	Find All Complex Solutions	2/(3x+1)=1/x-(6x)/(3x+1)	$\frac{2}{3 x + 1} = \frac{1}{x} - \frac{6 x}{3 x + 1}$
32458	Solve the System of Inequalities	2x+1<=-6 or 2x+1>=6	$2 x + 1 \leq - 6$ or $2 x + 1 \geq 6$
32459	Rationalize the Denominator	24/(8+4 square root of 6)	$\frac{24}{8 + 4 \sqrt{6}}$
32460	Evaluate the Integral	integral of ex with respect to x	$\int e x d x$
32461	Graph	y=2x if x<=-3; -2x if x>-3	$y = {\begin{cases} 2 x & x \leq - 3 \\ - 2 x & x > - 3 \end{cases}$
32462	Solve for x	0=-2(x-(3x+1))	$0 = - 2 (x - (3 x + 1))$
32463	Find the Equation of the Circle	(0,5) , r=1/2	$(0, 5)$ , $r = \frac{1}{2}$
32464	Find the Distance Between Two Points	(-3,1) and (7,-3)	$(- 3, 1)$ and $(7, - 3)$
32465	Simplify	(11x+2x^2)+(-7x-3x^2+4)	$(11 x + 2 x^{2}) + (- 7 x - 3 x^{2} + 4)$
32466	Evaluate	v^2=25/81	$v^{2} = \frac{25}{81}$
32467	Solve the Rational Equation for x	8- fourth root of x=7	$8 - \sqrt[4]{x} = 7$
32468	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (cos(x)-1)/x	$lim_{x \to 0} \frac{\cos (x) - 1}{x}$
32469	Simplify	fifth root of cube root of 8c^2	$\sqrt[5]{\sqrt[3]{8 c^{2}}}$
32470	Graph	y>=x+2 2x+3y<=6	$y \geq x + 2$ $2 x + 3 y \leq 6$
32471	Find the x and y Intercepts	f(x)=1/2( cube root of 24-8x)+1	$f (x) = \frac{1}{2} (\sqrt[3]{24 - 8 x}) + 1$
32472	Graph	f(x)=1/2( cube root of 24-8x)+1	$f (x) = \frac{1}{2} (\sqrt[3]{24 - 8 x}) + 1$
32473	Find the Maximum/Minimum Value	f(x)=3x^4-4x^3-12x^2	$f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2}$
32474	Divide	(3n^2+ square root of 2n^2)/( square root of 10n)	$\frac{3 n^{2} + \sqrt{2 n^{2}}}{\sqrt{10 n}}$
32475	Find the Remainder	(2x^3-x^2+5x+3)÷(2x+1)	$(2 x^{3} - x^{2} + 5 x + 3) \div (2 x + 1)$
32476	Find the x and y Intercepts	f(x)=1/2x^(3/2)	$f (x) = \frac{1}{2} x^{\frac{3}{2}}$
32477	Expand Using Sum/Difference Formulas	1/6(18x-24)	$\frac{1}{6} (18 x - 24)$
32478	Solve the Inequality for y	y/4<=1.6	$\frac{y}{4} \leq 1.6$
32479	Evaluate	sin(60)^2	$\sin^{2} (60)$
32480	Find the Derivative - d/dx	-x^3(3x^4-2)	$- x^{3} (3 x^{4} - 2)$
32481	Evaluate	7-8÷4(3^2-1)	$7 - 8 \div 4 (3^{2} - 1)$
32482	Find the End Behavior	f(x)=3/2(x-2)	$f (x) = \frac{3}{2} (x - 2)$
32483	Subtract	(-7x^2-4)+(-7x^2-6x-2)	$(- 7 x^{2} - 4) + (- 7 x^{2} - 6 x - 2)$
32484	Find the Derivative - d/dt	y=3t^7-6t^4+8t^3-12^t+18	$y = 3 t^{7} - 6 t^{4} + 8 t^{3} - 12^{t} + 18$
32485	Simplify	tan(x)^3csc(x)^2-tan(x)^3	$\tan^{3} (x) \csc^{2} (x) - \tan^{3} (x)$
32486	Convert from Degrees to Radians	320deg	$320$ degrees
32487	Find the Reference Angle	300deg	$300$ degrees
32488	Solve for x	9x+8=2-9-12x	$9 x + 8 = 2 - 9 - 12 x$
32489	Evaluate the Integral	integral from 0 to pi/2 of cos(x)^7sin(x)^5 with respect to x	$\int_{0}^{\frac{π}{2}} \cos^{7} (x) \sin^{5} (x) d x$
32490	Evaluate	(3/5x+3/4)-(1/3x-1/8)	$(\frac{3}{5} x + \frac{3}{4}) - (\frac{1}{3} x - \frac{1}{8})$
32491	Simplify	((x^3)/5)÷(2/(5x^2))	$\frac{x^{3}}{5} \div \frac{2}{5 x^{2}}$
32492	Add	4/25+6/25+8/25+1/5+3/25	$\frac{4}{25} + \frac{6}{25} + \frac{8}{25} + \frac{1}{5} + \frac{3}{25}$
32493	Convert from Degrees to Radians	495deg	$495$ degrees
32494	Solve the Inequality for x	4(3x-6)+16<-32	$4 (3 x - 6) + 16 < - 32$
32495	Solve by Addition/Elimination	y=3x+4 y=x-2	$y = 3 x + 4$ $y = x - 2$
32496	Solve the System of Equations	3x-2y-1=0 y=5x+4	$3 x - 2 y - 1 = 0$ $y = 5 x + 4$
32497	Simplify the Radical Expression	5/(2 square root of 5)	$\frac{5}{2 \sqrt{5}}$
32498	Solve by Graphing	x+y=-5 y=5x+1	$x + y = - 5$ $y = 5 x + 1$
32499	Solve for a	-4/7(-56a+21)=-8a+5	$- \frac{4}{7} (- 56 a + 21) = - 8 a + 5$
32500	Solve for c	-70=-2-c^3	$- 70 = - 2 - c^{3}$