Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
31201	Find the Quadratic Equation Given the Roots	-5+2i , -5i	$- 5 + 2 i$ , $- 5 i$
31202	Find the Inverse	What is the inverse function of the f(x)=(3x+1)/5 ?	What is the inverse function of the $f (x) = \frac{3 x + 1}{5}$ ?
31203	Solve for y	M=(x-y)/3	$M = \frac{x - y}{3}$
31204	Find the x and y Intercepts	f(x)=3*(1/4)^x-3	$f (x) = 3 \cdot {(\frac{1}{4})}^{x} - 3$
31205	Evaluate Using Summation Formulas	limit as n approaches infinity of 1/n sum from i=1 to n of 1/(1+(i/n)^2)	$lim_{n \to \infty} \frac{1}{n} \sum_{i = 1}^{n} \frac{1}{1 + {(\frac{i}{n})}^{2}}$
31206	Solve the Inequality for p	2-9\|p+7\|>-16	$2 - 9 \| p + 7 \| > - 16$
31207	Evaluate	2* square root of -4	$2 \cdot \sqrt{- 4}$
31208	Find the Area Between the Curves	y=sin(x) , y=5x , x=pi/2 , x=pi	$y = \sin (x)$ , $y = 5 x$ , $x = \frac{π}{2}$ , $x = π$
31209	Solve the Absolute Value Inequality for a	\|3-9a\|<=60	$\| 3 - 9 a \| \leq 60$
31210	Solve for x in Radians	sin(1/4x)=0	$\sin (\frac{1}{4} x) = 0$
31211	Evaluate	((2y^5)^4)/(10y^15)	$\frac{{(2 y^{5})}^{4}}{10 y^{15}}$
31212	Divide	((1-h^2)/(2h^2-10h-12))÷((2h-2)/6)	$\frac{1 - h^{2}}{2 h^{2} - 10 h - 12} \div \frac{2 h - 2}{6}$
31213	Divide	((2r+2)/(r+2))÷((4r^2+8r+4)/(12r+12))	$\frac{2 r + 2}{r + 2} \div \frac{4 r^{2} + 8 r + 4}{12 r + 12}$
31214	Simplify	((18c^4)/(7d))÷(9c^2d)	$\frac{18 c^{4}}{7 d} \div (9 c^{2} d)$
31215	Simplify the Radical Expression	square root of 3*7 square root of 30	$\sqrt{3} \cdot 7 \sqrt{30}$
31216	Find the Second Derivative	f(x)=x+3(1-x)^(1/3)	$f (x) = x + 3 {(1 - x)}^{\frac{1}{3}}$
31217	Simplify	(-2x^4-5+4x+2x^3)-(2x^3-8x^4-4x+8)	$(- 2 x^{4} - 5 + 4 x + 2 x^{3}) - (2 x^{3} - 8 x^{4} - 4 x + 8)$
31218	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-2x^3-16x^2+17x-2 is divided by x-2	Use synthetic division to find the result when $3 x^{4} - 2 x^{3} - 16 x^{2} + 17 x - 2$ is divided by $x - 2$
31219	Find the Product	(-3+2j)(4j-7)	$(- 3 + 2 j) (4 j - 7)$
31220	Simplify	(4/5)/(-3/5)	$\frac{\frac{4}{5}}{- \frac{3}{5}}$
31221	Find the Exact Value	84^2-72+7	$8 \cdot 4^{2} - 7 \cdot 2 + 7$
31222	Evaluate	(1+-0.001)^(1/-0.001)	${(1 + - 0.001)}^{\frac{1}{- 0.001}}$
31223	Find the GCF	15 and 18	$15$ and $18$
31224	Evaluate	tan((-4pi)/3)	$\tan (\frac{- 4 π}{3})$
31225	Simplify	((x+2)/(x^2-6x-16))	$(\frac{x + 2}{x^{2} - 6 x - 16})$
31226	Graph	\|2x-3\|<=-1	$\| 2 x - 3 \| \leq - 1$
31227	Convert to Radical Form	(225)^(1/2)	${(225)}^{\frac{1}{2}}$
31228	Evaluate the Function	f(x)=3(2)^x x=-1	$f (x) = 3 {(2)}^{x}$ $x = - 1$
31229	Solve the Function Operation	If f(x)=4x^2-3x and g(x)=6-7x ; find: (f-g)(-2)	If $f (x) = 4 x^{2} - 3 x$ and $g (x) = 6 - 7 x$ ; find: $(f - g) (- 2)$
31230	Graph Using a Table of Values	f(x)=2(1/5)^(x-5)	$f (x) = 2 {(\frac{1}{5})}^{x - 5}$
31231	Divide	((3x+15)/(x^2-4))÷((x+5)/(x-2))	$\frac{3 x + 15}{x^{2} - 4} \div \frac{x + 5}{x - 2}$
31232	Write in Standard Form	(2x^2)^3	${(2 x^{2})}^{3}$
31233	Evaluate the Integral	integral from -3 to 5 of (5x^2-e^(5x)) with respect to x	$\int_{- 3}^{5} (5 x^{2} - e^{5 x}) d x$
31234	Solve the Inequality for x	18<6x<=60	$18 < 6 x \leq 60$
31235	Find the x and y Intercepts	4x+2i=8+yi	$4 x + 2 i = 8 + y i$
31236	Integrate Using u-Substitution	integral of x square root of 1+x with respect to x	$\int x \sqrt{1 + x} d x$
31237	Simplify	(x^2-4)/(4x-8)*4/(x-2)	$\frac{x^{2} - 4}{4 x - 8} \cdot \frac{4}{x - 2}$
31238	Multiply	(3 square root of 2)/2* square root of 2	$\frac{3 \sqrt{2}}{2} \cdot \sqrt{2}$
31239	Solve for x	(8-x)/x=3/2	$\frac{8 - x}{x} = \frac{3}{2}$
31240	Solve for x	(4x+4)/48=(7x-9)/60	$\frac{4 x + 4}{48} = \frac{7 x - 9}{60}$
31241	Convert to Radical Form	2^3*2	$2^{3} \cdot 2$
31242	Multiply	2^3*2	$2^{3} \cdot 2$
31243	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-5x^3+8x^2-4x-16 is divided by x-2	Use synthetic division to find the result when $2 x^{4} - 5 x^{3} + 8 x^{2} - 4 x - 16$ is divided by $x - 2$
31244	Divide	1 5/8÷2 1/2	$1 \frac{5}{8} \div 2 \frac{1}{2}$
31245	Evaluate the Limit	limit as x approaches infinity of (x^3+71x)/(x+1)	$lim_{x \to \infty} \frac{x^{3} + 71 x}{x + 1}$
31246	Solve for m	square root of 18-m = square root of m-4	$\sqrt{18 - m} = \sqrt{m - 4}$
31247	Solve for b	8(b+1)+4=3(2b-8)-16	$8 (b + 1) + 4 = 3 (2 b - 8) - 16$
31248	Evaluate	a=(10-2)/4	$a = \frac{10 - 2}{4}$
31249	Simplify	(30c^8d^3-36c^6d^2+6c^3d)/(12c^2d)	$\frac{30 c^{8} d^{3} - 36 c^{6} d^{2} + 6 c^{3} d}{12 c^{2} d}$
31250	Solve for x	(4x+3)/4-(2x)/(x+1)=x	$\frac{4 x + 3}{4} - \frac{2 x}{x + 1} = x$
31251	Evaluate	(2x^3)/(-8x^4)	$\frac{2 x^{3}}{- 8 x^{4}}$
31252	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,1) and has a slope of 6/5 ?	What is the equation of the line that passes through the point $(5, 1)$ and has a slope of $\frac{6}{5}$ ?
31253	Split Using Partial Fraction Decomposition	(6x^2+1)/(x^2(x-1)^3)	$\frac{6 x^{2} + 1}{x^{2} {(x - 1)}^{3}}$
31254	Solve for A	sin(A)=1/2	$\sin (A) = \frac{1}{2}$
31255	Divide	(18xy^8)/(27x^7y^3)	$\frac{18 x y^{8}}{27 x^{7} y^{3}}$
31256	Solve the System of Equations	y=x^2+4x-17 15=3x-y	$y = x^{2} + 4 x - 17$ $15 = 3 x - y$
31257	Find All Complex Solutions	square root of x+72=5	$\sqrt{x + 72} = 5$
31258	Evaluate the Integral	integral from -1 to 2 of (3u-2)(u+1) with respect to u	$\int_{- 1}^{2} (3 u - 2) (u + 1) d u$
31259	Solve the Inequality for x	log base 3 of x+9<4	$\log_{3} (x + 9) < 4$
31260	Evaluate the Integral	integral of (3+e^(x^2)) with respect to x	$\int (3 + e^{x^{2}}) d x$
31261	Graph	f(x)=x+1 if x<0; -x+1 if 0<=x<=2; x-1 if x>2	$f (x) = {\begin{cases} x + 1 & x < 0 \\ - x + 1 & 0 \leq x \leq 2 \\ x - 1 & x > 2 \end{cases}$
31262	Solve the System of Equations	y+2.3=0.45x -2y=4.2x-7.8	$y + 2.3 = 0.45 x$ $- 2 y = 4.2 x - 7.8$
31263	Solve for x	x-3y=4 , x+2y=1	$x - 3 y = 4$ , $x + 2 y = 1$
31264	Determine if Odd, Even, or Neither	f(x)=1/5x^6-3x^2	$f (x) = \frac{1}{5} x^{6} - 3 x^{2}$
31265	Find dy/dx	3x^3-3y^3=-4x^2y	$3 x^{3} - 3 y^{3} = - 4 x^{2} y$
31266	Determine if True	tan(theta)cot(theta)=1	$\tan (θ) \cot (θ) = 1$
31267	Simplify	square root of 4 square root of 2	$\sqrt{4 \sqrt{2}}$
31268	Simplify the Radical Expression	( cube root of 4)^6	${(\sqrt[3]{4})}^{6}$
31269	Solve for c	c=5/9x(f-32)	$c = \frac{5}{9} x (f - 32)$
31270	Write in Standard Form	(x+2)(2x+1)(4x-5)	$(x + 2) (2 x + 1) (4 x - 5)$
31271	Evaluate	pi*180/pi	$π \cdot \frac{180}{π}$
31272	Solve for x	(x-8)m=y	$(x - 8) m = y$
31273	Evaluate	(2x^2+3)(x+4)	$(2 x^{2} + 3) (x + 4)$
31274	Multiply	square root of x( square root of 5- square root of x)	$\sqrt{x} (\sqrt{5} - \sqrt{x})$
31275	Solve Using the Quadratic Formula	25m^2=396-m^4	$25 m^{2} = 396 - m^{4}$
31276	Simplify	-4-3p-7-3p-4	$- 4 - 3 p - 7 - 3 p - 4$
31277	Find the Domain	((x-3)(x+2))/(x^2-5x-6)	$\frac{(x - 3) (x + 2)}{x^{2} - 5 x - 6}$
31278	Simplify	(4^2)/(4^0*4^-1)	$\frac{4^{2}}{4^{0} \cdot 4^{- 1}}$
31279	Factor	f(x)=x^3+3x^2+3x+1	$f (x) = x^{3} + 3 x^{2} + 3 x + 1$
31280	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+10x^2+3x-4 is divided by x+1	Use synthetic division to find the result when $3 x^{3} + 10 x^{2} + 3 x - 4$ is divided by $x + 1$
31281	Find dy/dx	3y^3=-3+3x^2	$3 y^{3} = - 3 + 3 x^{2}$
31282	Integrate By Parts	integral of square root of x with respect to x	$\int \sqrt{x} d x$
31283	Find the Reference Angle	tan((5pi)/3)	$\tan (\frac{5 π}{3})$
31284	Multiply	(32x^3y)/(5xy^2)*(15y)/(8x^2y^4)	$\frac{32 x^{3} y}{5 x y^{2}} \cdot \frac{15 y}{8 x^{2} y^{4}}$
31285	Find the Third Derivative	f(x)=5/7x-1/10x^6+1/6x^-1-1/10x^5	$f (x) = \frac{5}{7} x - \frac{1}{10} x^{6} + \frac{1}{6} x^{- 1} - \frac{1}{10} x^{5}$
31286	Simplify	a(a-b)+2ab	$a (a - b) + 2 a b$
31287	Solve for x	5x^2+16x+3=5x	$5 x^{2} + 16 x + 3 = 5 x$
31288	Convert to Polar	x^2+y^2=a^2	$x^{2} + y^{2} = a^{2}$
31289	Solve for x	(3v)/y=x/b	$\frac{3 v}{y} = \frac{x}{b}$
31290	Evaluate the Integral	integral of -(14x^(5/2))/2 with respect to x	$\int - \frac{14 x^{\frac{5}{2}}}{2} d x$
31291	Find the Domain	natural log of natural log of x	$\ln (\ln (x))$
31292	Simplify the Radical Expression	square root of (n^-4)/(n^-5)	$\sqrt{\frac{n^{- 4}}{n^{- 5}}}$
31293	Solve for x	log base 2 of x+ log base 2 of x+4<5	$\log_{2} (x) + \log_{2} (x + 4) < 5$
31294	Simplify	square root of 27* cube root of 9	$\sqrt{27} \cdot \sqrt[3]{9}$
31295	Find the Standard Deviation	{3,3,4,5,7,8}	${3, 3, 4, 5, 7, 8}$
31296	Evaluate	Evaluate sin(arccos(-4/( square root of 25)))	Evaluate $\sin (\arccos (- \frac{4}{\sqrt{25}}))$
31297	Simplify	(-x^2y+3xy^3+4x^2y^2)+(-8x^2y-2xy^3-6x^2y^2)	$(- x^{2} y + 3 x y^{3} + 4 x^{2} y^{2}) + (- 8 x^{2} y - 2 x y^{3} - 6 x^{2} y^{2})$
31298	Evaluate	1/2(4k^5)^2	$\frac{1}{2} {(4 k^{5})}^{2}$
31299	Solve for x	2(x-3)+3=6x-5	$2 (x - 3) + 3 = 6 x - 5$
31300	Write in y=mx+b Form	x=3-3y	$x = 3 - 3 y$