Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
34201	Write the Fraction in Simplest Form	6*5/9	$6 \cdot \frac{5}{9}$
34202	Solve the Rational Equation for x	(7x)/(x+1)+7=-7/(x+1)	$\frac{7 x}{x + 1} + 7 = - \frac{7}{x + 1}$
34203	Find the Roots (Zeros)	5x^4+2x=3x^3-10x^2+1	$5 x^{4} + 2 x = 3 x^{3} - 10 x^{2} + 1$
34204	Find the Domain and Range	y=sin(x)^2	$y = \sin^{2} (x)$
34205	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+22x^2+15x+25 is divided by 2x+5	Use the long division method to find the result when $8 x^{3} + 22 x^{2} + 15 x + 25$ is divided by $2 x + 5$
34206	Find the Derivative - d/dx	y=( square root of 1-sin(x))/(x^2)	$y = \frac{\sqrt{1 - \sin (x)}}{x^{2}}$
34207	Simplify	(3^-4+5^-3)^-2	${(3^{- 4} + 5^{- 3})}^{- 2}$
34208	Solve for x	(x-7)/(5x)+7/5=3	$\frac{x - 7}{5 x} + \frac{7}{5} = 3$
34209	Convert to Radical Form	5^(1/4)m^(3/4)	$5^{\frac{1}{4}} m^{\frac{3}{4}}$
34210	Simplify	((x+1)/(x^2+x-6))÷((x^2+5x+4)/(x+4))	$\frac{x + 1}{x^{2} + x - 6} \div \frac{x^{2} + 5 x + 4}{x + 4}$
34211	Solve the Inequality for x	-5<(6x-3)/3<5	$- 5 < \frac{6 x - 3}{3} < 5$
34212	Find the Asymptotes	y=x/(a+bx)	$y = \frac{x}{a + b x}$
34213	Graph	y=-1/2(x-3)^3	$y = - \frac{1}{2} {(x - 3)}^{3}$
34214	Evaluate	x-10=4	$x - 10 = 4$
34215	Solve for p	7.50+14p<60	$7.5 + 14 p < 60$
34216	Solve for k	9k^2-k-1=3k^2	$9 k^{2} - k - 1 = 3 k^{2}$
34217	Simplify	-3z^2(z+2)-4(z^2+1)	$- 3 z^{2} (z + 2) - 4 (z^{2} + 1)$
34218	Solve the Inequality for V	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
34219	Simplify the Radical Expression	( cube root of 3)÷( square root of 3)	$\sqrt[3]{3} \div \sqrt{3}$
34220	Simplify	tan(x)*sin(x)	$\tan (x) \cdot \sin (x)$
34221	Solve for x	4(a-bx)=16	$4 (a - b x) = 16$
34222	Find All Complex Solutions	x^3-4x=0	$x^{3} - 4 x = 0$
34223	Find the Antiderivative	log base 2 of x	$\log_{2} (x)$
34224	Evaluate the Limit	limit as h approaches 0 of (2 cube root of 8+h-2 cube root of 8)/h	$lim_{h \to 0} \frac{2 \sqrt[3]{8 + h} - 2 \sqrt[3]{8}}{h}$
34225	Solve the Inequality for x	4x^2-4x-4>-1	$4 x^{2} - 4 x - 4 > - 1$
34226	Solve by Substitution	y=3x+19 and y=5x+33	$y = 3 x + 19$ and $y = 5 x + 33$
34227	Factor by Grouping	12xy-21xy^2	$12 x y - 21 x y^{2}$
34228	Solve the Inequality for θ	pi/2<theta<pi	$\frac{π}{2} < θ < π$
34229	Solve the Function Operation	h(a)=-2a^3+3a g(a)=a-3 find h(g(-1))	$h (a) = - 2 a^{3} + 3 a$ $g (a) = a - 3$ find $h (g (- 1))$
34230	Solve by Graphing	2/3x^3+x^2-5x=-9	$\frac{2}{3} x^{3} + x^{2} - 5 x = - 9$
34231	Simplify	( square root of 3)/(2+4 square root of 3)	$\frac{\sqrt{3}}{2 + 4 \sqrt{3}}$
34232	Simplify	(x-12)^2-(x^2-144)	${(x - 12)}^{2} - (x^{2} - 144)$
34233	Find dx/dy	y=xe^(-x)	$y = x e^{- x}$
34234	Solve for x	(2x)/(x-4)=8/(x-4)+3	$\frac{2 x}{x - 4} = \frac{8}{x - 4} + 3$
34235	Simplify	4/(30x-6)+(2x+5)/(30x-6)	$\frac{4}{30 x - 6} + \frac{2 x + 5}{30 x - 6}$
34236	Evaluate the Limit	limit as x approaches negative infinity of (e^x+e^(-x))/2	$lim_{x \to - \infty} \frac{e^{x} + e^{- x}}{2}$
34237	Find dy/dx	y=5/(5x^2+5)	$y = \frac{5}{5 x^{2} + 5}$
34238	Solve the Function Operation	f(x)=5(x-5)^7 ; find f^-1(x)	$f (x) = 5 {(x - 5)}^{7}$ ; find $f^{- 1} (x)$
34239	Graph	(x+2)^2+y^2<=9	${(x + 2)}^{2} + y^{2} \leq 9$
34240	Simplify	((1/64)^(1/3))^-2	${({(\frac{1}{64})}^{\frac{1}{3}})}^{- 2}$
34241	Evaluate	7(6)^2+72/4	$7 {(6)}^{2} + \frac{72}{4}$
34242	Evaluate	\|x\|-1>0	$\| x \| - 1 > 0$
34243	Solve the Function Operation	(x^2)/(x-3)+9/(3-x) , x!=3	$\frac{x^{2}}{x - 3} + \frac{9}{3 - x}$ , $x \neq 3$
34244	Divide	(3 square root of 32a^2)/( square root of 8a)	$\frac{3 \sqrt{32 a^{2}}}{\sqrt{8 a}}$
34245	Expand the Logarithmic Expression	log of 8(x^14y^3)/(z^15)	$\log (8) \frac{x^{14} y^{3}}{z^{15}}$
34246	Simplify	8(-3(-9))(5/18(-9))(((-9)^17)/10)	$8 (- 3 (- 9)) (\frac{5}{18} (- 9)) (\frac{{(- 9)}^{17}}{10})$
34247	Write in Standard Form	y=(4x+3)^2-24x	$y = {(4 x + 3)}^{2} - 24 x$
34248	Simplify	((12x+6)/(21x^2-21))÷((6x^2+9x+3)/(7x^3-7x^2))	$\frac{12 x + 6}{21 x^{2} - 21} \div \frac{6 x^{2} + 9 x + 3}{7 x^{3} - 7 x^{2}}$
34249	Graph	4x=4y-y^2	$4 x = 4 y - y^{2}$
34250	Find the Derivative - d/dx	d/(dx)(arcsin(x^4))	$\frac{d}{d x} (\arcsin (x^{4}))$
34251	Simplify	(5r+50)/(r+10)*(r-2)/5	$\frac{5 r + 50}{r + 10} \cdot \frac{r - 2}{5}$
34252	Evaluate	(-pi/2)÷2	$- \frac{π}{2} \div 2$
34253	Simplify the Radical Expression	6 square root of 1/3	$6 \sqrt{\frac{1}{3}}$
34254	Find dy/dx	y=cos(4x+5)	$y = \cos (4 x + 5)$
34255	Rationalize the Denominator	( square root of 6)/( square root of 10)	$\frac{\sqrt{6}}{\sqrt{10}}$
34256	Simplify	(9x^3-45x^2+36x)/(x+9)(x^2+11x+18)/(4x^3-8x^2-32x)(9-x^2)/(x^2+2x-3)	$\frac{9 x^{3} - 45 x^{2} + 36 x}{x + 9} \cdot \frac{x^{2} + 11 x + 18}{4 x^{3} - 8 x^{2} - 32 x} \cdot \frac{9 - x^{2}}{x^{2} + 2 x - 3}$
34257	Solve the Inequality for n	-n/50>22	$- \frac{n}{50} > 22$
34258	Evaluate	1125=9x^3	$1125 = 9 x^{3}$
34259	Find the Degree, Leading Term, and Leading Coefficient	1/6+6x	$\frac{1}{6} + 6 x$
34260	Solve for n	1/2n+7=(n+14)/2	$\frac{1}{2} n + 7 = \frac{n + 14}{2}$
34261	Simplify	2/(pi/2)	$\frac{2}{\frac{π}{2}}$
34262	Divide	((5x+2)/(3xy^2))÷((10x+4)/(x^2y))	$\frac{5 x + 2}{3 x y^{2}} \div \frac{10 x + 4}{x^{2} y}$
34263	Simplify	(5x-15)÷((x^2-9)/(x+2))	$(5 x - 15) \div \frac{x^{2} - 9}{x + 2}$
34264	Write in Standard Form	2/3x+6y=-10	$\frac{2}{3} x + 6 y = - 10$
34265	Simplify	(4- square root of 50)+(7+3 square root of 18)-(12-2 square root of 72)	$(4 - \sqrt{50}) + (7 + 3 \sqrt{18}) - (12 - 2 \sqrt{72})$
34266	Find the Asymptotes	y=(x+3)/(2(x+4))	$y = \frac{(x + 3)}{2 (x + 4)}$
34267	Solve for A in Degrees	10sin(A)+16=3sin(A)+9	$10 \sin (A) + 16 = 3 \sin (A) + 9$
34268	Describe the Transformation	y=3(x-6)^2-2	$y = 3 {(x - 6)}^{2} - 2$
34269	Solve by Factoring	x^2+11x+11=4x	$x^{2} + 11 x + 11 = 4 x$
34270	Simplify the Radical Expression	(4r^2s^3t^4)^(2/5)	${(4 r^{2} s^{3} t^{4})}^{\frac{2}{5}}$
34271	Multiply	[[0,-1,-4,0],[-4,1,-3,2]][[1,-1,1],[0,-1,-1],[1,1,1],[1,-1,0]]	$[\begin{array}{c} 0 & - 1 & - 4 & 0 \\ - 4 & 1 & - 3 & 2 \end{array}] [\begin{array}{c} 1 & - 1 & 1 \\ 0 & - 1 & - 1 \\ 1 & 1 & 1 \\ 1 & - 1 & 0 \end{array}]$
34272	Solve the Inequality for x	1/4(5/12x-3/4)>x+1/12	$\frac{1}{4} (\frac{5}{12} x - \frac{3}{4}) > x + \frac{1}{12}$
34273	Find the Antiderivative	x+e^x	$x + e^{x}$
34274	Divide	((x^2+4x-32)/(x^2+9x+8))÷((x+7)/(x+1))	$\frac{x^{2} + 4 x - 32}{x^{2} + 9 x + 8} \div \frac{x + 7}{x + 1}$
34275	Convert to Rectangular	theta=45 degrees	$θ = 45 °$
34276	Add	square root of 8x^4y^4+ square root of 12x^4y^4	$\sqrt{8 x^{4} y^{4}} + \sqrt{12 x^{4} y^{4}}$
34277	Find the Antiderivative	f(x)=3cos(x/3)+sin(3x)	$f (x) = 3 \cos (\frac{x}{3}) + \sin (3 x)$
34278	Divide	(3x^2y+6xy-9x^2y^2)/(3xy)	$\frac{3 x^{2} y + 6 x y - 9 x^{2} y^{2}}{3 x y}$
34279	Simplify	((x+7)^2)/(49-x^2)	$\frac{{(x + 7)}^{2}}{49 - x^{2}}$
34280	Find the End Behavior	h(x)=-2x^3+5x^2+4x^5-3x^4+12x^2-4	$h (x) = - 2 x^{3} + 5 x^{2} + 4 x^{5} - 3 x^{4} + 12 x^{2} - 4$
34281	Evaluate	(-7^4)^-3	${(- 7^{4})}^{- 3}$
34282	Solve Using the Quadratic Formula	square root of e-5-7=0	$\sqrt{e - 5} - 7 = 0$
34283	Solve for x	(x-1)/(x-2)=4/(x^2-4)	$\frac{x - 1}{x - 2} = \frac{4}{x^{2} - 4}$
34284	Evaluate the Integral	integral from 0 to 2 of (8z+4z^3-6z^2) with respect to z	$\int_{0}^{2} (8 z + 4 z^{3} - 6 z^{2}) d z$
34285	Simplify the Radical Expression	2/( square root of 6+2)	$\frac{2}{\sqrt{6 + 2}}$
34286	Evaluate	i^36i^20i^40	$i^{36} \cdot i^{20} \cdot i^{40}$
34287	Simplify	-3 square root of -4-4 square root of -4-2 cube root of -64	$- 3 \sqrt{- 4} - 4 \sqrt{- 4} - 2 \sqrt[3]{- 64}$
34288	Simplify	(4n)/( square root of 18n^8)	$\frac{4 n}{\sqrt{18 n^{8}}}$
34289	Solve for k	log base 8 of 28k-20+15=18	$\log_{8} (28 k - 20) + 15 = 18$
34290	Solve for t	h=1/2gt^2+v_0t ; for t	$h = \frac{1}{2} g t^{2} + v_{0} t$ ; for $t$
34291	Integrate By Parts	integral of 2x with respect to x	$\int 2 x d x$
34292	Evaluate the Integral	integral of 5*5^(5x) with respect to x	$\int 5 \cdot 5^{5 x} d x$
34293	Simplify	(34i)/(17i)	$\frac{34 i}{17 i}$
34294	Evaluate	(1/(3h^5))^-4	${(\frac{1}{3 h^{5}})}^{- 4}$
34295	Find the Domain and Range	1/(1+ square root of x)	$\frac{1}{1 + \sqrt{x}}$
34296	Solve for x	0=e^(-x)	$0 = e^{- x}$
34297	Integrate Using u-Substitution	integral of sin(2x)cos(2x) with respect to x	$\int \sin (2 x) \cos (2 x) d x$
34298	Solve the Inequality for x	-4(5x+3)-4<=-96	$- 4 (5 x + 3) - 4 \leq - 96$
34299	Solve the Inequality for r	9\|r-2\|-10<-73	$9 \| r - 2 \| - 10 < - 73$
34300	Evaluate the Summation	5 sum from t=0 to 4 of -3t+5	$5 \sum_{t = 0}^{4} - 3 t + 5$