Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
24501	Simplify the Radical Expression	square root of 8y^5* square root of 40y^2	$\sqrt{8 y^{5}} \cdot \sqrt{40 y^{2}}$
24502	Find the Roots (Zeros)	f(x)=2+4sin(x)	$f (x) = 2 + 4 \sin (x)$
24503	Solve for x	3-4x+5=2(8-2x)	$3 - 4 x + 5 = 2 (8 - 2 x)$
24504	Graph	x>=-6 y<3	$x \geq - 6$ $y < 3$
24505	Evaluate	y=4^-2	$y = 4^{- 2}$
24506	Solve for a	-10=- square root of a	$- 10 = - \sqrt{a}$
24507	Evaluate	r = cube root of (3v)/(4pi)	$r = \sqrt[3]{\frac{3 v}{4 π}}$
24508	Solve for w	-6y^2-21=s(y^2+w)	$- 6 y^{2} - 21 = s (y^{2} + w)$
24509	Simplify	((4p-8)/(p^3-2p^2)-(q+2)/(q^3+2q^2))*p/(2q-p)	$(\frac{4 p - 8}{p^{3} - 2 p^{2}} - \frac{q + 2}{q^{3} + 2 q^{2}}) \cdot \frac{p}{2 q - p}$
24510	Evaluate	i^10i^37i^36	$i^{10} \cdot i^{37} \cdot i^{36}$
24511	Find Amplitude, Period, and Phase Shift	f(x)=sin(1/2x+pi/2)	$f (x) = \sin (\frac{1}{2} x + \frac{π}{2})$
24512	Solve the System of Equations	x^2+y^2=9 9x+2y=16	$x^{2} + y^{2} = 9$ $9 x + 2 y = 16$
24513	Factor	(27x^3-8)/(9x^2-4)	$\frac{27 x^{3} - 8}{9 x^{2} - 4}$
24514	Evaluate	60% of 70	$60 %$ of $70$
24515	Find the Inflection Points	-1/6x^6-x^5-5/3x^4	$- \frac{1}{6} x^{6} - x^{5} - \frac{5}{3} x^{4}$
24516	Solve the System of Equations	y=x^2 y-9=0	$y = x^{2}$ $y - 9 = 0$
24517	Evaluate	10-3\|9-3(3-1)\|	$10 - 3 \| 9 - 3 (3 - 1) \|$
24518	Evaluate	( square root of x+ square root of 2)^2	${(\sqrt{x} + \sqrt{2})}^{2}$
24519	Find the x and y Intercepts	f^-1(x)=x/2-1/2	$f^{- 1} (x) = \frac{x}{2} - \frac{1}{2}$
24520	Find the Excluded Values	3/x=3/(4x)+3	$\frac{3}{x} = \frac{3}{4 x} + 3$
24521	Graph	g(x)=3(x-1)*2+2	$g (x) = 3 (x - 1) \cdot 2 + 2$
24522	Find the Derivative - d/dx	(1-x^2)^(-1/2)	${(1 - x^{2})}^{- \frac{1}{2}}$
24523	Simplify	-0.125 square root of 192	$- 0.125 \sqrt{192}$
24524	Find the GCF	36 and 60	$36$ and $60$
24525	Graph	x+2y=-2 y=-1/3x	$x + 2 y = - 2$ $y = - \frac{1}{3} x$
24526	Evaluate the Integral	integral of (e^(2/x))/(3x^2) with respect to x	$\int \frac{e^{\frac{2}{x}}}{3 x^{2}} d x$
24527	Convert to a Percentage	what percent of 300 is 51	what percent of $300$ is $51$
24528	Find dy/dx	-3y+xy=x^3	$- 3 y + x y = x^{3}$
24529	Add	(6m^5+1)+(2m^5+9m-1)	$(6 m^{5} + 1) + (2 m^{5} + 9 m - 1)$
24530	Solve for x	x-theta+x+x+theta=102	$x - θ + x + x + θ = 102$
24531	Find the Exact Value	-2/5-(-9/15)	$- \frac{2}{5} - (- \frac{9}{15})$
24532	Determine if a Polynomial	8z^5+4y^-4z^3+z	$8 z^{5} + 4 y^{- 4} z^{3} + z$
24533	Solve the Inequality for x	-5x^2+8<-6x	$- 5 x^{2} + 8 < - 6 x$
24534	Simplify	((2x^3+20x^2+32x)/(x^2-7x-18)*-6/(6x+48))÷((-x-10)/(x^2+x-90))	$\frac{2 x^{3} + 20 x^{2} + 32 x}{x^{2} - 7 x - 18} \cdot \frac{- 6}{6 x + 48} \div \frac{- x - 10}{x^{2} + x - 90}$
24535	Find the Derivative - d/dx	2x+cos(x)	$2 x + \cos (x)$
24536	Find dy/dx	-4x^3-y^3=4y^2	$- 4 x^{3} - y^{3} = 4 y^{2}$
24537	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+18x^2+10x-25 is divided by x+5	Use the long division method to find the result when $3 x^{3} + 18 x^{2} + 10 x - 25$ is divided by $x + 5$
24538	Solve the System of Inequalities	y<=2x-6 y<=-1/2x-1	$y \leq 2 x - 6$ $y \leq - \frac{1}{2} x - 1$
24539	Evaluate the Integral	integral from 5 to infinity of 1/(t^2-4t) with respect to t	$\int_{5}^{\infty} \frac{1}{t^{2} - 4 t} d t$
24540	Find the Vertex	-8y=-x^2	$- 8 y = - x^{2}$
24541	Evaluate	85% of 80	$85 %$ of $80$
24542	Subtract	(2x+1)/(6x^2)-(7x-2)/(6x^2)	$\frac{2 x + 1}{6 x^{2}} - \frac{7 x - 2}{6 x^{2}}$
24543	Find the Excluded Values	(x+4)/(x^2-x-12)+(2x)/(x-4)	$\frac{x + 4}{x^{2} - x - 12} + \frac{2 x}{x - 4}$
24544	Find the Product	2y^2*3x	$2 y^{2} \cdot 3 x$
24545	Simplify	square root of 2x^3* square root of 5x^3	$\sqrt{2 x^{3}} \cdot \sqrt{5 x^{3}}$
24546	Combine Like Terms	(a^3-2a^2)-(3a^2-4a^3)	$(a^{3} - 2 a^{2}) - (3 a^{2} - 4 a^{3})$
24547	Evaluate	(-1/4)(1/3)	$(- \frac{1}{4}) (\frac{1}{3})$
24548	Evaluate	a-a/b	$a - \frac{a}{b}$
24549	Solve the Inequality for x	-6>5x+5+4	$- 6 > 5 x + 5 + 4$
24550	Simplify	300x+20+5x+10-40x^2	$300 x + 20 + 5 x + 10 - 40 x^{2}$
24551	Integrate Using u-Substitution	integral of xcos(x^2) with respect to x	$\int x \cos (x^{2}) d x$
24552	Find Where Increasing/Decreasing	f'(x)=((x-2)^3)/x	$f' (x) = \frac{{(x - 2)}^{3}}{x}$
24553	Evaluate	square root of 3-x+ square root of x^2-1	$\sqrt{3 - x} + \sqrt{x^{2} - 1}$
24554	Simplify	(5/4+5/4i)^2	${(\frac{5}{4} + \frac{5}{4} i)}^{2}$
24555	Simplify	square root of 8x^2Y+x square root of 2Y-x/3 square root of 18Y	$\sqrt{8 x^{2} Y} + x \sqrt{2 Y} - \frac{x}{3} \sqrt{18 Y}$
24556	Solve for f	6^f=1/6	$6^{f} = \frac{1}{6}$
24557	Multiply	(5/7u^2+4)^2	${(\frac{5}{7} u^{2} + 4)}^{2}$
24558	Evaluate the Integral	integral from 0 to a of 8x square root of a^2-x^2 with respect to x	$\int_{0}^{a} 8 x \sqrt{a^{2} - x^{2}} d x$
24559	Find the Derivative - d/dx	sec( square root of x)^2	$\sec^{2} (\sqrt{x})$
24560	Simplify	(2)^-3-24	${(2)}^{- 3} - 24$
24561	Find Where Increasing/Decreasing	f(x)=- cube root of 2x^5	$f (x) = - \sqrt[3]{2 x^{5}}$
24562	Solve the System of Equations	y=1/3x-2 y=1/3x+3	$y = \frac{1}{3} x - 2$ $y = \frac{1}{3} x + 3$
24563	Simplify	(-5/x)^2*((2x^4)/(y^3))^2	${(- \frac{5}{x})}^{2} \cdot {(\frac{2 x^{4}}{y^{3}})}^{2}$
24564	Find the Antiderivative	f(x)=5-3(1+x^2)^-1	$f (x) = 5 - 3 {(1 + x^{2})}^{- 1}$
24565	Simplify	(5 square root of 45)÷( square root of 5)	$5 \sqrt{45} \div \sqrt{5}$
24566	Subtract	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
24567	Simplify	7(-2x+x^2)	$7 (- 2 x + x^{2})$
24568	Find the Roots (Zeros)	f(x)=-x^4-x^3+3x^2-3	$f (x) = - x^{4} - x^{3} + 3 x^{2} - 3$
24569	Simplify	-2x^2+3x-9 from 8x^2+10x-10	$- 2 x^{2} + 3 x - 9$ from $8 x^{2} + 10 x - 10$
24570	Write as a Single Logarithm	( log base 3 of a)/2+( log base 3 of b)/2+( log base 3 of c)/2	$\frac{\log_{3} (a)}{2} + \frac{\log_{3} (b)}{2} + \frac{\log_{3} (c)}{2}$
24571	Multiply	(4x)/(x+1)*(x^2-6x-7)/(x^2-7x)	$\frac{4 x}{x + 1} \cdot \frac{x^{2} - 6 x - 7}{x^{2} - 7 x}$
24572	Find the Derivative - d/dh	limit as h approaches 0 of ((h-3)^2-9)/h	$lim_{h \to 0} \frac{{(h - 3)}^{2} - 9}{h}$
24573	Solve for n	4n^3-3=1	$4 n^{3} - 3 = 1$
24574	Graph	2x-3y+6>=0	$2 x - 3 y + 6 \geq 0$
24575	Simplify	((a-b)/(a+b)+(a+b)/(a-b))((a^2+b^2)/(2ab)+1)(ab)/(a^2+b^2)	$(\frac{a - b}{a + b} + \frac{a + b}{a - b}) (\frac{a^{2} + b^{2}}{2 a b} + 1) \frac{a b}{a^{2} + b^{2}}$
24576	Simplify	(22ab^5c^-2)/(4a^-4b^6c^-7)	$\frac{22 a b^{5} c^{- 2}}{4 a^{- 4} b^{6} c^{- 7}}$
24577	Solve the Function Operation	If u(x)=-2x^2+3 and v(x)=1/x ; what is the range of (uov)(x) ?	If $u (x) = - 2 x^{2} + 3$ and $v (x) = \frac{1}{x}$ ; what is the range of $((u \circ v)) (x)$ ?
24578	Evaluate the Summation	sum from r=0 to 7 of r^2(-x)^r	$\sum_{r = 0}^{7} r^{2} {(- x)}^{r}$
24579	Simplify	(6^8*6^7)/(6^-5)	$\frac{6^{8} \cdot 6^{7}}{6^{- 5}}$
24580	Simplify	(x^2+3x-54)/(x^2+4x-60)(9-x)/(x+9)(x^2+20x+100)/(x^2+x-90)	$\frac{x^{2} + 3 x - 54}{x^{2} + 4 x - 60} \cdot \frac{9 - x}{x + 9} \cdot \frac{x^{2} + 20 x + 100}{x^{2} + x - 90}$
24581	Evaluate the Integral	integral from 1 to 8 of ( cube root of x-1/x) with respect to x	$\int_{1}^{8} (\sqrt[3]{x} - \frac{1}{x}) d x$
24582	Find the Roots (Zeros)	-3-4i	$- 3 - 4 i$
24583	Solve for x	cube root of 3x^3+67=-5	$\sqrt[3]{3 x^{3} + 67} = - 5$
24584	Simplify	(12y^-4)/(3y^-5)	$\frac{12 y^{- 4}}{3 y^{- 5}}$
24585	Factor	(a+1)^7(a^2+1)^10-(a+1)^5(a^2+1)^11	${(a + 1)}^{7} {(a^{2} + 1)}^{10} - {(a + 1)}^{5} {(a^{2} + 1)}^{11}$
24586	Subtract	(3x+2)/(4x-5)-(x-1)/(5-4x)	$\frac{3 x + 2}{4 x - 5} - \frac{x - 1}{5 - 4 x}$
24587	Find the Antiderivative	f(x)=2e^(4x-6)-2x^3	$f (x) = 2 e^{4 x - 6} - 2 x^{3}$
24588	Factor	m^5+6a^3m^3-4am^2-24a^4	$m^{5} + 6 a^{3} m^{3} - 4 a m^{2} - 24 a^{4}$
24589	Graph	x<-4 or x>4	$x < - 4$ or $x > 4$
24590	Find the Inverse	y=1/3(x+2)^2-3	$y = \frac{1}{3} {(x + 2)}^{2} - 3$
24591	Solve for g	-8(-3g-1)=10+2(6g+17)	$- 8 (- 3 g - 1) = 10 + 2 (6 g + 17)$
24592	Solve for x	((3-4x)-12)/2=2x+3/2	$\frac{(3 - 4 x) - 12}{2} = 2 x + \frac{3}{2}$
24593	Graph	22>=x+10>19	$22 \geq x + 10 > 19$
24594	Find Amplitude, Period, and Phase Shift	y=sin((6x)/7+1/6)	$y = \sin (\frac{6 x}{7} + \frac{1}{6})$
24595	Find the Product	x/(3x-6)*(x-2)/(x+9)	$\frac{x}{3 x - 6} \cdot \frac{x - 2}{x + 9}$
24596	Simplify	1/(3^9*6^18)	$\frac{1}{3^{9} \cdot 6^{18}}$
24597	Simplify	5(2x^2-1)+3(7x^2+1)	$5 (2 x^{2} - 1) + 3 (7 x^{2} + 1)$
24598	Expand the Trigonometric Expression	sin(33 degrees +42 degrees )	$\sin (33 ° + 42 °)$
24599	Evaluate	-4(-4+-2)+5	$- 4 (- 4 + - 2) + 5$
24600	Evaluate the Function	f(5)=1/(x^(-x))	$f (5) = \frac{1}{x^{- x}}$