Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18201	Rationalize the Denominator	( square root of 2)/(3 square root of 2)	$\frac{\sqrt{2}}{3 \sqrt{2}}$
18202	Solve for b	(2pi)/b=pi/2	$\frac{2 π}{b} = \frac{π}{2}$
18203	Solve for x	(-4cos(x)-6sin(x))^2-20sin(x)^2=16	${(- 4 \cos (x) - 6 \sin (x))}^{2} - 20 \sin^{2} (x) = 16$
18204	Simplify	square root of 121x^9* fourth root of 81x	$\sqrt{121 x^{9}} \cdot \sqrt[4]{81 x}$
18205	Solve by Substitution	5y=10 x-3y=4	$5 y = 10$ $x - 3 y = 4$
18206	Simplify	((s^-4)/(t^-1))^-2	${(\frac{s^{- 4}}{t^{- 1}})}^{- 2}$
18207	Solve for m	log base 2 of m = log base 2 of m+5- log base 2 of 3	$\log_{2} (m) = \log_{2} (m + 5) - \log_{2} (3)$
18208	Find the Domain	(b^3-8)/(b^2-9)*(b+3)/(b^2+2b+4)	$\frac{b^{3} - 8}{b^{2} - 9} \cdot \frac{b + 3}{b^{2} + 2 b + 4}$
18209	Solve the Inequality for x	4x^2-12x+9<=0	$4 x^{2} - 12 x + 9 \leq 0$
18210	Find the Degree, Leading Term, and Leading Coefficient	P(x)=4x^5+9x^4+6x^3-x^2+2x-7	$P (x) = 4 x^{5} + 9 x^{4} + 6 x^{3} - x^{2} + 2 x - 7$
18211	Simplify the Radical Expression	8 square root of 5*5 square root of 10	$8 \sqrt{5} \cdot 5 \sqrt{10}$
18212	Solve the Function Operation	f(x)=(( cube root of x)/4)^7 ; find f^-1(x)	$f (x) = {(\frac{\sqrt[3]{x}}{4})}^{7}$ ; find $f^{- 1} (x)$
18213	Find f(g(x))	f(x)=(x^2-8x+16)/(x+2x) , g(x)=(6x)/(x-4)	$f (x) = \frac{x^{2} - 8 x + 16}{x + 2 x}$ , $g (x) = \frac{(6 x)}{(x - 4)}$
18214	Write in Slope-Intercept Form	(2,-2) and (0,-1)	$(2, - 2)$ and $(0, - 1)$
18215	Evaluate	-2/(-2+1)-1	$\frac{- 2}{- 2 + 1} - 1$
18216	Solve the System of Equations	y=x+2 x-y=-2	$y = x + 2$ $x - y = - 2$
18217	Simplify	3 square root of 12+2 square root of 108-3 square root of 48	$3 \sqrt{12 + 2 \sqrt{108 - 3 \sqrt{48}}}$
18218	Solve the Inequality for h	3/5h>=-3	$\frac{3}{5} h \geq - 3$
18219	Simplify	(32x^4y^3z^4)÷(28x^9y^2z)	$32 x^{4} y^{3} z^{4} \div (28 x^{9} y^{2} z)$
18220	Evaluate	8*2-4÷2+6	$8 \cdot 2 - 4 \div 2 + 6$
18221	Solve for x	5/x+5=5/3x+31/6	$\frac{5}{x} + 5 = \frac{5}{3} x + \frac{31}{6}$
18222	Evaluate the Function	f(x)=15-2x^2 at x=1	$f (x) = 15 - 2 x^{2}$ at $x = 1$
18223	Solve the System of Equations	2x-y=4 and y=-2x+8	$2 x - y = 4$ and $y = - 2 x + 8$
18224	Simplify	(2/3-3/2i)^2	${(\frac{2}{3} - \frac{3}{2} i)}^{2}$
18225	Convert from Degrees to Radians	70deg	$70$ degrees
18226	Solve the System of Inequalities	y<=-2x+6 x-y<6	$y \leq - 2 x + 6$ $x - y < 6$
18227	Rationalize the Denominator	10/(-7+ square root of 11)	$\frac{10}{- 7 + \sqrt{11}}$
18228	Solve by Factoring	x^3+x^2+16x+16=0	$x^{3} + x^{2} + 16 x + 16 = 0$
18229	Simplify	10/(-7+ square root of 11)	$\frac{10}{- 7 + \sqrt{11}}$
18230	Evaluate the Integral	integral from 1 to 3 of (x-2)/(x^2-4x) with respect to x	$\int_{1}^{3} \frac{x - 2}{x^{2} - 4 x} d x$
18231	Evaluate	log base X of 8=-1/2	$\log_{X} (8) = - \frac{1}{2}$
18232	Simplify	fourth root of 81x^10* square root of 121x	$\sqrt[4]{81 x^{10}} \cdot \sqrt{121 x}$
18233	Find the Domain and Range	y=-sin(x-pi)-2	$y = - \sin (x - π) - 2$
18234	Write in Standard Form	-4y+6=2	$- 4 y + 6 = 2$
18235	Write in Slope-Intercept Form	y=2(x-2)	$y = 2 (x - 2)$
18236	Evaluate	(1+sin(3))/(2+tan(4))	$\frac{1 + \sin (3)}{2 + \tan (4)}$
18237	Find the Derivative - d/dx	J (x)=(3/2x^2-2)^2	$J$ $(x) = {(\frac{3}{2} x^{2} - 2)}^{2}$
18238	Graph	x<=-1 or x>2	$x \leq - 1$ or $x > 2$
18239	Solve for m	m^3=-8	$m^{3} = - 8$
18240	Find All Complex Solutions	theta=(-3pi)/4	$θ = \frac{- 3 π}{4}$
18241	Simplify	(9x-5y)+(3x+2y-7)	$(9 x - 5 y) + (3 x + 2 y - 7)$
18242	Integrate Using u-Substitution	integral of (1+x)/(1+x^2) with respect to x	$\int \frac{1 + x}{1 + x^{2}} d x$
18243	Evaluate	5/9(45-32)	$\frac{5}{9} (45 - 32)$
18244	Simplify	8/(-4-2i)	$\frac{8}{- 4 - 2 i}$
18245	Divide	2/( square root of 13+ square root of 11)	$\frac{2}{\sqrt{13} + \sqrt{11}}$
18246	Simplify	3/14x+(-1)+(-4)-2/7x	$\frac{3}{14} x + (- 1) + (- 4) - \frac{2}{7} x$
18247	Find the Domain	(a-b)/(2(a+b))	$\frac{a - b}{2 (a + b)}$
18248	Integrate Using u-Substitution	integral of sec(x) with respect to x	$\int \sec (x) d x$
18249	Find the Slope at (1/2,32) Using Implicit Differentiation	f(t)=t^-5 ;, (1/2,32)	$f (t) = t^{- 5}$ ;, $(\frac{1}{2}, 32)$
18250	Evaluate the Function	f(-5)=3x^2+x	$f (- 5) = 3 x^{2} + x$
18251	Find the Holes in the Graph	(x^2+x)/(-5x-5)	$\frac{x^{2} + x}{- 5 x - 5}$
18252	Find the x and y Intercepts	(x^2+x)/(-5x-5)	$\frac{x^{2} + x}{- 5 x - 5}$
18253	Solve the System of Equations	-3x-5y+z=-8 2x+8y-z=-4 x+2y-z=2	$- 3 x - 5 y + z = - 8$ $2 x + 8 y - z = - 4$ $x + 2 y - z = 2$
18254	Find the Exact Value	3 square root of -64	$3 \sqrt{- 64}$
18255	Factor	36a^5bc-12c	$36 a^{5} b c - 12 c$
18256	Solve the Inequality for x	6>=8-2x>=-2	$6 \geq 8 - 2 x \geq - 2$
18257	Solve the Inequality for x	square root of x^2-14x+49=x-7	$\sqrt{x^{2} - 14 x + 49} = x - 7$
18258	Factor	sin(x)^2-sin(x)	$\sin^{2} (x) - \sin (x)$
18259	Simplify	(3x)/2*9/(4x^3)	$\frac{3 x}{2} \cdot \frac{9}{4 x^{3}}$
18260	Solve for a	150 = square root of 8000a	$150 = \sqrt{8000 a}$
18261	Simplify	4 square root of 23 square root of 3	$4 \sqrt{23} \sqrt{3}$
18262	Combine Like Terms	8r^2-3rs+3s-3r^2-5rs-2s	$8 r^{2} - 3 r s + 3 s - 3 r^{2} - 5 r s - 2 s$
18263	Multiply	(6x-18)/(4x)*x/(2x-6)	$\frac{6 x - 18}{4 x} \cdot \frac{x}{2 x - 6}$
18264	Solve for x	x+3 5/8=7 1/4	$x + 3 \frac{5}{8} = 7 \frac{1}{4}$
18265	Write the Fraction in Simplest Form	((-3q^-3)^3)/(-6q^-6)	$\frac{{(- 3 q^{- 3})}^{3}}{- 6 q^{- 6}}$
18266	Simplify	((4x^2)/(27x^6))÷((2x)/(9x^3))	$\frac{4 x^{2}}{27 x^{6}} \div \frac{2 x}{9 x^{3}}$
18267	Solve for x	-3/4+1/x=(2x+9)/(4x)	$\frac{- 3}{4} + \frac{1}{x} = \frac{2 x + 9}{4 x}$
18268	Evaluate the Limit	limit as x approaches 1 of 4x-1=3	$lim_{x \to 1} 4 x - 1 = 3$
18269	Simplify the Radical Expression	cube root of 27^4	$\sqrt[3]{27^{4}}$
18270	Find the Directrix	y^2=4x-4	$y^{2} = 4 x - 4$
18271	Solve for y	8/11=3/(2y)	$\frac{8}{11} = \frac{3}{2 y}$
18272	Multiply	1/3(2a^3b)(6b^3)	$\frac{1}{3} (2 a^{3} b) (6 b^{3})$
18273	Evaluate	2sin(x)+1=0	$2 \sin (x) + 1 = 0$
18274	Convert to Radical Form	((2a)/(9b))^(1/3)	${(\frac{2 a}{9 b})}^{\frac{1}{3}}$
18275	Write the Fraction in Simplest Form	((-3u^-3h^3)^5)/(12u^-9h^10)	$\frac{{(- 3 u^{- 3} h^{3})}^{5}}{12 u^{- 9} h^{10}}$
18276	Find the Reference Angle	tan(225 degrees )	$\tan (225 °)$
18277	Simplify	fourth root of 2* eighth root of 4	$\sqrt[4]{2} \cdot \sqrt[8]{4}$
18278	Evaluate	6+1+5-(1-1)+15	$6 + 1 + 5 - (1 - 1) + 15$
18279	Solve the Function Operation	Given that f(x)=x^2-14x+45 and g(x)=x-9 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 14 x + 45$ and $g (x) = x - 9$ ; find $f (x) - g (x)$ and express the result in standard form.
18280	Simplify	7-5/6*7-7/6	$7 - \frac{5}{6} \cdot 7 - \frac{7}{6}$
18281	Graph	y>=-x-1 y<x+4	$y \geq - x - 1$ $y < x + 4$
18282	Simplify	(6 fourth root of 3)/( fourth root of 2)	$\frac{6 \sqrt[4]{3}}{\sqrt[4]{2}}$
18283	Evaluate	4(x+5)+4x+8	$4 (x + 5) + 4 x + 8$
18284	Evaluate	(-4)^4+8(-4)^3+18(-4)^2+4	${(- 4)}^{4} + 8 {(- 4)}^{3} + 18 {(- 4)}^{2} + 4$
18285	Find the Domain	(4x)/( square root of x+3)	$\frac{4 x}{\sqrt{x + 3}}$
18286	Solve for x	log base 6 of 3x^2-7- log base 6 of x+7=0	$\log_{6} (3 x^{2} - 7) - \log_{6} (x + 7) = 0$
18287	Find the Antiderivative	(x^2)/( square root of 1-x^2)	$\frac{x^{2}}{\sqrt{1 - x^{2}}}$
18288	Graph	y=0 , 5x^2	$y = 0$ , $5 x^{2}$
18289	Solve for p	3/2p-2=-7/8	$\frac{3}{2} p - 2 = - \frac{7}{8}$
18290	Solve for x	square root of x^2 = square root of 16	$\sqrt{x^{2}} = \sqrt{16}$
18291	Solve the Inequality for x	-3x^2+9x+8<4x	$- 3 x^{2} + 9 x + 8 < 4 x$
18292	Solve for x	sin(x)+sin(x)cos(x)=0	$\sin (x) + \sin (x) \cos (x) = 0$
18293	Factor	x^2+xy+x+y	$x^{2} + x y + x + y$
18294	Solve for x	-4x-2(8x+1)=-(-2x-10)	$- 4 x - 2 (8 x + 1) = - (- 2 x - 10)$
18295	Simplify	((x^2)^-2)/x	$\frac{{(x^{2})}^{- 2}}{x}$
18296	Simplify	(6y)/(y^2-5y+6)*(y^2-3y+2)/(3y-3)	$\frac{6 y}{y^{2} - 5 y + 6} \cdot \frac{y^{2} - 3 y + 2}{3 y - 3}$
18297	Divide	( cube root of 48x^3y^2)/( cube root of 6x^4y)	$\frac{\sqrt[3]{48 x^{3} y^{2}}}{\sqrt[3]{6 x^{4} y}}$
18298	Solve the Inequality for x	2x^2-30x+104>=-4	$2 x^{2} - 30 x + 104 \geq - 4$
18299	Solve the System of Equations	2d+e=8 d-e=4	$2 d + e = 8$ $d - e = 4$
18300	Solve the Function Operation	If f(x)=1/x and g(x)=3x+2 find (gof)(x)	If $f (x) = \frac{1}{x}$ and $g (x) = 3 x + 2$ find $((g \circ f)) (x)$