Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
12101	Simplify	((x^5y^5)/(y^3))^2	${(\frac{x^{5} y^{5}}{y^{3}})}^{2}$
12102	Find the Third Term	a_n=n*(n+1)!	$a_{n} = n \cdot (n + 1)!$
12103	Simplify the Radical Expression	(p^(-3/4)q^3)^(1/3)	${(p^{\frac{- 3}{4}} q^{3})}^{\frac{1}{3}}$
12104	Solve the Function Operation	f(x)=2x^2+5x+8 g(x)=-x-5 Find: (fog)(x)	$f (x) = 2 x^{2} + 5 x + 8$ $g (x) = - x - 5$ Find: $((f \circ g)) (x)$
12105	Simplify	(16 root of 4)/( eighth root of 4)	$\frac{\sqrt[16]{4}}{\sqrt[8]{4}}$
12106	Solve for x	11x-x=15	$11 x - x = 15$
12107	Simplify	((8^-7)/8)^-2	${(\frac{8^{- 7}}{8})}^{- 2}$
12108	Simplify	(a-b)/((b-a)^2)	$\frac{a - b}{{(b - a)}^{2}}$
12109	Simplify	(1/3)/((2 square root of 2)/3)	$\frac{\frac{1}{3}}{\frac{2 \sqrt{2}}{3}}$
12110	Solve the Inequality for y	-3>2y	$- 3 > 2 y$
12111	Solve the Function Operation	f(x)=6(x-2) ; find f^-1(x)	$f (x) = 6 (x - 2)$ ; find $f^{- 1} (x)$
12112	Expand Using the Binomial Theorem	(1/2x+4)^10	${(\frac{1}{2} x + 4)}^{10}$
12113	Simplify	-4 square root of 11y-14 square root of 10y+2 square root of 10y+ square root of 11y	$- 4 \sqrt{11 y} - 14 \sqrt{10 y} + 2 \sqrt{10 y} + \sqrt{11 y}$
12114	Convert from Radians to Degrees	arccos(6/8)	$\arccos (\frac{6}{8})$
12115	Simplify	(2a^2+4a^3)-(3a^3+8)	$(2 a^{2} + 4 a^{3}) - (3 a^{3} + 8)$
12116	Simplify	((2r^3)/s)^2(s/(r^3))^3	${(\frac{2 r^{3}}{s})}^{2} {(\frac{s}{r^{3}})}^{3}$
12117	Find dY/dx	Y=x^-2	$Y = x^{- 2}$
12118	Simplify	y/(y+3)-(6y)/(y^2-9)	$\frac{y}{y + 3} - \frac{6 y}{y^{2} - 9}$
12119	Multiply	(x+3)/(5x+20)*(x^2+3x+2)/(x^2+5x+6)	$\frac{x + 3}{5 x + 20} \cdot \frac{x^{2} + 3 x + 2}{x^{2} + 5 x + 6}$
12120	Solve by Addition/Elimination	y-x=2 y=-1/4x+7	$y - x = 2$ $y = - \frac{1}{4} x + 7$
12121	Find the LCD	-7/(2x+10) and (9x)/(x+5)	$\frac{- 7}{2 x + 10}$ and $\frac{9 x}{x + 5}$
12122	Solve the Inequality for x	3/4(x+4)-3/2>=3	$\frac{3}{4} (x + 4) - \frac{3}{2} \geq 3$
12123	Solve for w	-2(w+1)+w=7-4w	$- 2 (w + 1) + w = 7 - 4 w$
12124	Solve the Inequality for x	16^x>2^24^38^4	$16^{x} > 2^{2} \cdot 4^{3} \cdot 8^{4}$
12125	Write in Slope-Intercept Form	(-5,-11) and (-2,1)	$(- 5, - 11)$ and $(- 2, 1)$
12126	Find the Domain	h(x)=( square root of x-2)/(x(x-1))	$h (x) = \frac{\sqrt{x - 2}}{x (x - 1)}$
12127	Solve for X	square root of 4X^2-12X+9=5	$\sqrt{4 X^{2} - 12 X + 9} = 5$
12128	Solve the Inequality for x	(x-4)/3>=(x+3)/2	$\frac{x - 4}{3} \geq \frac{x + 3}{2}$
12129	Write in Standard Form	4b(5b-3)-2(b^2-7b-4)	$4 b (5 b - 3) - 2 (b^{2} - 7 b - 4)$
12130	Find the Antiderivative	((x^2-1)^2)/(x^2)	$\frac{{(x^{2} - 1)}^{2}}{x^{2}}$
12131	Simplify	3(2+4i)-(5-3i)+(2-i)	$3 (2 + 4 i) - (5 - 3 i) + (2 - i)$
12132	Rationalize the Denominator	-3/(-9+ square root of 15)	$\frac{- 3}{- 9 + \sqrt{15}}$
12133	Find the Inverse	v(R) = square root of (2GM)/R	$v (R) = \sqrt{\frac{2 G M}{R}}$
12134	Combine Like Terms	-18x+12x-10x	$- 18 x + 12 x - 10 x$
12135	Divide	(x^3+2x^2-1)÷(x^2-x+1)	$(x^{3} + 2 x^{2} - 1) \div (x^{2} - x + 1)$
12136	Solve for x	x^6+39=69	$x^{6} + 39 = 69$
12137	Solve for y	(y-1)/4-(y-4)/5=(y+4)/10-1	$\frac{y - 1}{4} - \frac{y - 4}{5} = \frac{y + 4}{10} - 1$
12138	Evaluate the Integral	integral of (2x^2-3)/( square root of x) with respect to x	$\int \frac{2 x^{2} - 3}{\sqrt{x}} d x$
12139	Graph	f(x)=4x-x^3-x^5	$f (x) = 4 x - x^{3} - x^{5}$
12140	Graph	y<=x+4 y>=-2x	$y \leq x + 4$ $y \geq - 2 x$
12141	Simplify	(m^-3t^-5)/((m^2t^3)^-1)	$\frac{m^{- 3} t^{- 5}}{{(m^{2} t^{3})}^{- 1}}$
12142	Simplify	-3a(a+b-5)+4(-2a+2b)+b(a+3b-7)	$- 3 a (a + b - 5) + 4 (- 2 a + 2 b) + b (a + 3 b - 7)$
12143	Graph	y<=-x^2+x+6	$y \leq - x^{2} + x + 6$
12144	Graph	f(x)=(4x^2+x)/x	$f (x) = \frac{4 x^{2} + x}{x}$
12145	Find the Reference Angle	tan(-pi/4)	$\tan (- \frac{π}{4})$
12146	Solve for j	-8.5j+1-9j=2.5j-1	$- 8.5 j + 1 - 9 j = 2.5 j - 1$
12147	Solve the System of Equations	-4x+4y=32 3x+24=3y	$- 4 x + 4 y = 32$ $3 x + 24 = 3 y$
12148	Find the Cosecant Given the Point	(-3, square root of 3)	$(- 3, \sqrt{3})$
12149	Solve the System of Equations	2y=4x+6 y=2x+6	$2 y = 4 x + 6$ $y = 2 x + 6$
12150	Multiply	2 square root of 3m^3* square root of 3m^3	$2 \sqrt{3 m^{3}} \cdot \sqrt{3 m^{3}}$
12151	Solve for c	c÷1 11/16=4/9	$c \div 1 \frac{11}{16} = \frac{4}{9}$
12152	Simplify the Radical Expression	(4 square root of 2)/(3 square root of 8)	$\frac{4 \sqrt{2}}{3 \sqrt{8}}$
12153	Verify the Identity	(x^2-4)/(x-2)=x+2	$\frac{x^{2} - 4}{x - 2} = x + 2$
12154	Solve for t	(t+7)/9=25/(t+7)	$\frac{t + 7}{9} = \frac{25}{t + 7}$
12155	Simplify	(x+1)/(2x-2)-(x-1)/(2x+2)-2/(1-x^2)	$\frac{x + 1}{2 x - 2} - \frac{x - 1}{2 x + 2} - \frac{2}{1 - x^{2}}$
12156	Find the Degree	4b^4+c+c^3	$4 b^{4} + c + c^{3}$
12157	Identify the Zeros and Their Multiplicities	f(x)=-x^3+15x^2-75x+125	$f (x) = - x^{3} + 15 x^{2} - 75 x + 125$
12158	Simplify	(60a^2b^3-48b^4+84a^5b^2)/(12ab^2)	$\frac{60 a^{2} b^{3} - 48 b^{4} + 84 a^{5} b^{2}}{12 a b^{2}}$
12159	Write in Standard Form	y=-3(6x-2)(x-4)	$y = - 3 (6 x - 2) (x - 4)$
12160	Solve for d	(2d+3)^(1/3)=2	${(2 d + 3)}^{\frac{1}{3}} = 2$
12161	Simplify	(4b cube root of -27a^5)/(3a^2b)	$\frac{4 b \sqrt[3]{- 27 a^{5}}}{3 a^{2} b}$
12162	Simplify	7(13-5)^2+22÷11	$7 {(13 - 5)}^{2} + 22 \div 11$
12163	Find dy/dx	x^2+2x^3+3y^2-4y^3=-x	$x^{2} + 2 x^{3} + 3 y^{2} - 4 y^{3} = - x$
12164	Evaluate the Integral	integral of (8x^3+1/(2x^2)) with respect to x	$\int (8 x^{3} + \frac{1}{2 x^{2}}) d x$
12165	Evaluate the Limit	limit as x approaches -2 of (x^3+5x^2+6x)/(x^2(x+2)-(x+2))	$lim_{x \to - 2} \frac{x^{3} + 5 x^{2} + 6 x}{x^{2} (x + 2) - (x + 2)}$
12166	Evaluate the Limit	limit as x approaches 2 of ( square root of 2x+5)/(1-3x)	$lim_{x \to 2} \frac{\sqrt{2 x + 5}}{1 - 3 x}$
12167	Factor	45xy+15x^3y+10y	$45 x y + 15 x^{3} y + 10 y$
12168	Simplify	square root of (x^2)/(y^2)	$\sqrt{\frac{x^{2}}{y^{2}}}$
12169	Graph	y=3x+1 y=4	$y = 3 x + 1$ $y = 4$
12170	Solve for h	2h^3-11=43	$2 h^{3} - 11 = 43$
12171	Simplify	(-1/27)^(1/3)	${(- \frac{1}{27})}^{\frac{1}{3}}$
12172	Convert to Radical Form	1/((x^2-7)^(-1/2))	$\frac{1}{{(x^{2} - 7)}^{- \frac{1}{2}}}$
12173	Solve the Inequality for x	1/6(x-15)>x+20	$\frac{1}{6} (x - 15) > x + 20$
12174	Find the Cube Roots of a Complex Number	8(cos(pi/2)+isin(pi/2))	$8 (\cos (\frac{π}{2}) + i \sin (\frac{π}{2}))$
12175	Simplify	cube root of 7/16	$\sqrt[3]{\frac{7}{16}}$
12176	Solve for n	(n+7)(n+9)=0	$(n + 7) (n + 9) = 0$
12177	Find the Antiderivative	f(x)=-1/((6x+1)^2)	$f (x) = - \frac{1}{{(6 x + 1)}^{2}}$
12178	Solve the Inequality for x	2(x-3)-4x>8	$2 (x - 3) - 4 x > 8$
12179	Evaluate	1/2(4)^2pi/2	$\frac{1}{2} {(4)}^{2} \frac{π}{2}$
12180	Simplify	x/-8>=-5	$\frac{x}{- 8} \geq - 5$
12181	Solve for x	x^2+1^2=2^2	$x^{2} + 1^{2} = 2^{2}$
12182	Solve for b	5=15b+12c	$5 = 15 b + 12 c$
12183	Solve for k	5k+16-7k=-16+4(-7k-18)	$5 k + 16 - 7 k = - 16 + 4 (- 7 k - 18)$
12184	Solve for x	1/x+2/x=3/(2x-1)	$\frac{1}{x} + \frac{2}{x} = \frac{3}{2 x - 1}$
12185	Simplify	(-7)(2/7x)(-3)	$(- 7) (\frac{2}{7} x) (- 3)$
12186	Find the Holes in the Graph	(x-3)/(3x-9)	$\frac{x - 3}{3 x - 9}$
12187	Simplify	(2(x-5))/(2x(5-x))	$\frac{2 (x - 5)}{2 x (5 - x)}$
12188	Solve for y	y=3^x for x=2	$y = 3^{x}$ for $x = 2$
12189	Find the Exact Value	(1/2)÷(( square root of 3)/2)	$\frac{1}{2} \div \frac{\sqrt{3}}{2}$
12190	Find the Nth Root of the Given Value	n=6 , a=64	$n = 6$ , $a = 64$
12191	Simplify	(x+1)/(3x+6)*(6x+12)/(x^2-1)	$\frac{x + 1}{3 x + 6} \cdot \frac{6 x + 12}{x^{2} - 1}$
12192	Determine if a Polynomial	s^3+s^2+(s^5)/4	$s^{3} + s^{2} + \frac{s^{5}}{4}$
12193	Evaluate	-3/2(2)^-1	$- \frac{3}{2} {(2)}^{- 1}$
12194	Find the x and y Intercepts	f(x)=3 square root of x-1	$f (x) = 3 \sqrt{x - 1}$
12195	Solve the Rational Equation for x	square root of 3x+4=x	$\sqrt{3 x + 4} = x$
12196	Simplify	((3a)/(a^2))^0	${(\frac{3 a}{a^{2}})}^{0}$
12197	Find the Roots (Zeros)	y=(2x+3)(x-1)^2	$y = (2 x + 3) {(x - 1)}^{2}$
12198	Find the Derivative - d/dx	y=arccos(3x-5)	$y = \arccos (3 x - 5)$
12199	Solve the System of Equations	7/2x-1/2y=9/2 3x-y=5	$\frac{7}{2} x - \frac{1}{2} y = \frac{9}{2}$ $3 x - y = 5$
12200	Simplify	((4x^2-324)/(x^2+4x-45)*4/(-x^2-5x))÷((9-x)/(25-x^2))	$\frac{4 x^{2} - 324}{x^{2} + 4 x - 45} \cdot \frac{4}{- x^{2} - 5 x} \div \frac{9 - x}{25 - x^{2}}$