Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17201	Evaluate the Limit	limit as x approaches infinity of 1/(x-2)+1	$lim_{x \to \infty} \frac{1}{x - 2} + 1$
17202	Solve for z	10-4z<=20	$10 - 4 z \leq 20$
17203	Solve for x	5x=7x-2(x-8)	$5 x = 7 x - 2 (x - 8)$
17204	Factor	p^4-p^3q+pq^3-q^4	$p^{4} - p^{3} q + p q^{3} - q^{4}$
17205	Graph	y<=-\|x\|	$y \leq - \| x \|$
17206	Simplify	2 fourth root of 8x^3y^2*3 fourth root of 2x^5y^2	$2 \sqrt[4]{8 x^{3} y^{2}} \cdot 3 \sqrt[4]{2 x^{5} y^{2}}$
17207	Solve the Function Operation	g(n)=3n+2 f(n)=2n^2+5 Find g(f(2))	$g (n) = 3 n + 2$ $f (n) = 2 n^{2} + 5$ Find $g (f (2))$
17208	Solve for x	square root of 4x^2-12x+9>=9	$\sqrt{4 x^{2} - 12 x + 9} \geq 9$
17209	Simplify the Radical Expression	cube root of -125xy^12	$\sqrt[3]{- 125 x y^{12}}$
17210	Solve for x	x^2=2-\|x\|	$x^{2} = 2 - \| x \|$
17211	Find the Points of Intersection	-x+y=-2 x^2+y^2=2	$- x + y = - 2$ $x^{2} + y^{2} = 2$
17212	Simplify	5 square root of 3(8 square root of 12-3 square root of 48)	$5 \sqrt{3} (8 \sqrt{12} - 3 \sqrt{48})$
17213	Evaluate Using the Given Value	1/4x^4-1/2x^2 for x=2	$\frac{1}{4} x^{4} - \frac{1}{2} x^{2}$ for $x = 2$
17214	Simplify	(2a-b)-(2b-c)-(c-a)	$(2 a - b) - (2 b - c) - (c - a)$
17215	Simplify	5 square root of 98-3 square root of 6*5 square root of 3	$5 \sqrt{98} - 3 \sqrt{6} \cdot 5 \sqrt{3}$
17216	Add	(3x^3-2x^2-6x)+(3x^2-5x+3)	$(3 x^{3} - 2 x^{2} - 6 x) + (3 x^{2} - 5 x + 3)$
17217	Solve for x	(tan(x)+1)(2sin(x)-1)=0	$(\tan (x) + 1) (2 \sin (x) - 1) = 0$
17218	Solve for x	square root of x+4- square root of 3x=-2	$\sqrt{x + 4} - \sqrt{3 x} = - 2$
17219	Describe the Transformation	y=-2 square root of x	$y = - 2 \sqrt{x}$
17220	Evaluate	1/3(-2)^3	$\frac{1}{3} {(- 2)}^{3}$
17221	Find All Complex Solutions	2(n-1)+4n=2(3n-1)	$2 (n - 1) + 4 n = 2 (3 n - 1)$
17222	Solve for n	-3=(37-3n)^(1/2)-n	$- 3 = {(37 - 3 n)}^{\frac{1}{2}} - n$
17223	Find the Antiderivative	(x^5)/(x^2+1)	$\frac{x^{5}}{x^{2} + 1}$
17224	Find the Inverse	f(x)=3((x-9)/2)+20	$f (x) = 3 (\frac{x - 9}{2}) + 20$
17225	Expand the Logarithmic Expression	log base 3 of ((3x)/y)^2	$\log_{3} ({(\frac{3 x}{y})}^{2})$
17226	Write in Standard Form	(2x^2+5x-7)+(3-4x^2+6x)	$(2 x^{2} + 5 x - 7) + (3 - 4 x^{2} + 6 x)$
17227	Find Where Increasing/Decreasing	((x-2)^3)/x	$\frac{{(x - 2)}^{3}}{x}$
17228	Combine Like Terms	12x+4y-3x+2-8y^2+3^2	$12 x + 4 y - 3 x + 2 - 8 y^{2} + 3^{2}$
17229	Solve for t	(cos(t)-4)(2sin(t)^2-1)=0	$(\cos (t) - 4) (2 \sin^{2} (t) - 1) = 0$
17230	Solve the Rational Equation for x	x/4=(x+12)/12	$\frac{x}{4} = \frac{x + 12}{12}$
17231	Find the Product	(x+5)/(x^3-25x)*(2x^3-11x^2+5x)	$\frac{(x + 5)}{(x^{3} - 25 x)} \cdot (2 x^{3} - 11 x^{2} + 5 x)$
17232	Find the Domain	y=x^4-4x^3+14/3x^2-9/7x+2	$y = x^{4} - 4 x^{3} + \frac{14}{3} x^{2} - \frac{9}{7} x + 2$
17233	Simplify	((a^(1/2))/b)^(-2/5)	${(\frac{a^{\frac{1}{2}}}{b})}^{- \frac{2}{5}}$
17234	Evaluate the Integral	integral from 0 to 90^0 of cos(x) with respect to x	$\int_{0}^{90^{0}} \cos (x) d x$
17235	Find the Exact Value	4-(-7+10)-1	$4 - (- 7 + 10) - 1$
17236	Simplify	cube root of 24a+ cube root of 81a	$\sqrt[3]{24 a} + \sqrt[3]{81 a}$
17237	Solve for x	square root of x+1+ square root of 2x = square root of 5x+3	$\sqrt{x + 1} + \sqrt{2 x} = \sqrt{5 x + 3}$
17238	Simplify	(-2/3a^2b^3c^2)^3	${(- \frac{2}{3} a^{2} b^{3} c^{2})}^{3}$
17239	Convert to Radical Form	10/(10^(3/4))	$\frac{10}{10^{\frac{3}{4}}}$
17240	Find the LCD	x/(x+3) and -5/(4x+12)	$\frac{x}{x + 3}$ and $\frac{- 5}{4 x + 12}$
17241	Simplify	( square root of 4+ square root of 1)/( square root of 5)	$\frac{\sqrt{4} + \sqrt{1}}{\sqrt{5}}$
17242	Divide	(2xy^2-8x^2y-4x^2y^2)/(-2xy)	$\frac{2 x y^{2} - 8 x^{2} y - 4 x^{2} y^{2}}{- 2 x y}$
17243	Simplify	(15m^4n^3-35mn^2)/(5mn)	$\frac{15 m^{4} n^{3} - 35 m n^{2}}{5 m n}$
17244	Simplify	square root of (576x^4y^3)(32xy^2z)	$\sqrt{(576 x^{4} y^{3}) (32 x y^{2} z)}$
17245	Evaluate	F=(9/5*C)+32	$F = (\frac{9}{5} \cdot C) + 32$
17246	Simplify	x/2-x/4	$\frac{x}{2} - \frac{x}{4}$
17247	Write in Standard Form	(4x^3-5x^2+3x-8)+(2x^3-2x^2+6x+12)	$(4 x^{3} - 5 x^{2} + 3 x - 8) + (2 x^{3} - 2 x^{2} + 6 x + 12)$
17248	Multiply	(3x^2+7)(6x^2-4x+5)	$(3 x^{2} + 7) (6 x^{2} - 4 x + 5)$
17249	Solve for u	19u=7(5u-20)-20	$19 u = 7 (5 u - 20) - 20$
17250	Simplify	(11x+2x^2)-(-7x-3x^2+4)	$(11 x + 2 x^{2}) - (- 7 x - 3 x^{2} + 4)$
17251	Simplify	(7g^3h^2+3g^2h-2gh^3)/(gh)	$\frac{7 g^{3} h^{2} + 3 g^{2} h - 2 g h^{3}}{g h}$
17252	Solve the Function Operation	Find (f-g)(x) if f(x)=7x^2+2 and g(x)=2x^2+9	Find $(f - g) (x)$ if $f (x) = 7 x^{2} + 2$ and $g (x) = 2 x^{2} + 9$
17253	Find the Second Derivative	x^2y=4	$x^{2} y = 4$
17254	Evaluate the Limit	limit as x approaches infinity of (5x^2+x^-1)/(2x^3+5)	$lim_{x \to \infty} \frac{5 x^{2} + x^{- 1}}{2 x^{3} + 5}$
17255	Convert to Interval Notation	x<-7 or x>6	$x < - 7$ or $x > 6$
17256	Simplify	(2/5+1/2)/(1/10+3/15)	$\frac{\frac{2}{5} + \frac{1}{2}}{\frac{1}{10} + \frac{3}{15}}$
17257	Simplify	2((8(x-1)+7)-(2(4x-1)+7))	$2 ((8 (x - 1) + 7) - (2 (4 x - 1) + 7))$
17258	Solve for n	log base 12 of n+14+1/2* log base 12 of 4n^2=2	$\log_{12} (n + 14) + \frac{1}{2} \cdot \log_{12} (4 n^{2}) = 2$
17259	Find the Secant Given the Point	(1, square root of 3)	$(1, \sqrt{3})$
17260	Simplify	(3x^3-x+4)+(x^2-5x-5)	$(3 x^{3} - x + 4) + (x^{2} - 5 x - 5)$
17261	Find dy/dx	y=xtan(x)	$y = x \tan (x)$
17262	Evaluate the Integral	integral from 1 to 2 of (3x^2-4x-2/(x^2)) with respect to x	$\int_{1}^{2} (3 x^{2} - 4 x - \frac{2}{x^{2}}) d x$
17263	Find the GCF	x^3y^2 and x^5y	$x^{3} y^{2}$ and $x^{5} y$
17264	Write in Slope-Intercept Form	(1,1) , (8,-3/4)	$(1, 1)$ , $(8, - \frac{3}{4})$
17265	Evaluate the Summation	sum from n=1 to infinity of (-4/3)(1/3)^(n-1)	$\sum_{n = 1}^{\infty} (- \frac{4}{3}) {(\frac{1}{3})}^{n - 1}$
17266	Solve the Inequality for x	(x^2-3x-10)/(1-x)>=2 ?	$\frac{x^{2} - 3 x - 10}{1 - x} \geq 2$ ?
17267	Simplify	(-15)(-1/3x)(2)+3x	$(- 15) (- \frac{1}{3} x) (2) + 3 x$
17268	Expand the Logarithmic Expression	log base 2 of ( cube root of x)/(x^2+x)	$\log_{2} (\frac{\sqrt[3]{x}}{x^{2} + x})$
17269	Evaluate	4(m+2)+3(6m-4)	$4 (m + 2) + 3 (6 m - 4)$
17270	Graph	3(2-b)<10-3(b-6)	$3 (2 - b) < 10 - 3 (b - 6)$
17271	Solve the Rational Equation for b	2 = square root of 4b	$2 = \sqrt{4 b}$
17272	Find the Maximum/Minimum Value	f(x)=(x-1)^(1/3)	$f (x) = {(x - 1)}^{\frac{1}{3}}$
17273	Find All Complex Solutions	square root of 5x-10+9=4	$\sqrt{5 x - 10} + 9 = 4$
17274	Solve the Inequality for y	0.5<=y/8	$0.5 \leq \frac{y}{8}$
17275	Solve for x	3x-(2x-(x-(5x+6)))=x-2	$3 x - (2 x - (x - (5 x + 6))) = x - 2$
17276	Divide Using Synthetic Division	(x^4-4x^3+x+10)/(x-2)	$\frac{x^{4} - 4 x^{3} + x + 10}{x - 2}$
17277	Graph	f(x)=3+5x^2-x^4	$f (x) = 3 + 5 x^{2} - x^{4}$
17278	Evaluate	log base 3 of 2x^2 = log base 3 of 2+2 log base 3 of x	$\log_{3} (2 x^{2}) = \log_{3} (2) + 2 \log_{3} (x)$
17279	Find the End Behavior	f(x)=-5x^6-4x^5+19x^4+x^3-11x^2+15x-1	$f (x) = - 5 x^{6} - 4 x^{5} + 19 x^{4} + x^{3} - 11 x^{2} + 15 x - 1$
17280	Simplify	(4*9)^(1/2)	${(4 \cdot 9)}^{\frac{1}{2}}$
17281	Find the Product	10m^4n(-2mn^3+3n)	$10 m^{4} n (- 2 m n^{3} + 3 n)$
17282	Simplify	3 square root of 2(4 square root of 10-5 square root of 5+8 square root of 2)	$3 \sqrt{2} (4 \sqrt{10} - 5 \sqrt{5} + 8 \sqrt{2})$
17283	Simplify	( fourth root of 32)^2	${(\sqrt[4]{32})}^{2}$
17284	Solve for x	n÷(( square root of 2)/2-( square root of 2i)/2)=nx	$n \div (\frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}) = n x$
17285	Simplify	3(x^2+5)(x^2-5)	$3 (x^{2} + 5) (x^{2} - 5)$
17286	Find the Holes in the Graph	f(x)=(x^2+5x+4)/(x^2-1)	$f (x) = \frac{x^{2} + 5 x + 4}{x^{2} - 1}$
17287	Graph	x>-3y+4	$x > - 3 y + 4$
17288	Solve for y	22=-2y+4(5-3x)	$22 = - 2 y + 4 (5 - 3 x)$
17289	Evaluate the Limit	limit as x approaches 0 of (9tan(x))/(-3x)	$lim_{x \to 0} \frac{9 \tan (x)}{- 3 x}$
17290	Simplify	1/( square root of 2+ square root of 3+ square root of 5)	$\frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{5}}$
17291	Evaluate	x^2+1=0	$x^{2} + 1 = 0$
17292	Evaluate	(2x^-2y^-2)/(16x^-12y^2)	$\frac{2 x^{- 2} y^{- 2}}{16 x^{- 12} y^{2}}$
17293	Write in Standard Form	(2x^2-x-2)(x^2-6x+4)	$(2 x^{2} - x - 2) (x^{2} - 6 x + 4)$
17294	Determine if a Polynomial	4c^-2+c^2	$4 c^{- 2} + c^{2}$
17295	Simplify	(6x^2+4x-10)/(3x^2+2x-5)	$\frac{6 x^{2} + 4 x - 10}{3 x^{2} + 2 x - 5}$
17296	Find dy/dx	-x-y^3=2y^2-1-5x^3	$- x - y^{3} = 2 y^{2} - 1 - 5 x^{3}$
17297	Find the Equation Using Two Points	(-4,-2) and (4,0)	$(- 4, - 2)$ and $(4, 0)$
17298	Simplify	(1/3)÷(3/7)-3/5*1/2	$\frac{1}{3} \div \frac{3}{7} - \frac{3}{5} \cdot \frac{1}{2}$
17299	Simplify	(x^2)^5(36x^14)^(1/2)	${(x^{2})}^{5} {(36 x^{14})}^{\frac{1}{2}}$
17300	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+4x^2+14x+20 is divided by x+2	Use synthetic division to find the result when $x^{3} + 4 x^{2} + 14 x + 20$ is divided by $x + 2$