Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
38301	Find the Relative Extrema	f(x)=3x^5-x^3+4x-2	$f (x) = 3 x^{5} - x^{3} + 4 x - 2$
38302	Find dy/dx	xy^2-y^3=x^2-5	$x y^{2} - y^{3} = x^{2} - 5$
38303	Solve for x	(-3-x)^(1/2)=(3x+17)^(1/2)	${(- 3 - x)}^{\frac{1}{2}} = {(3 x + 17)}^{\frac{1}{2}}$
38304	Solve for u	-8.6(-84u-68)=-17.2(8u-93)	$- 8.6 (- 84 u - 68) = - 17.2 (8 u - 93)$
38305	Find the Domain	(6a)/(x^2-x)*(2x-2)/(3ax)	$\frac{6 a}{x^{2} - x} \cdot \frac{2 x - 2}{3 a x}$
38306	Evaluate the Integral	integral of (x^pi+x^3) with respect to x	$\int (x^{π} + x^{3}) d x$
38307	Graph	\|x+1\|=\|-x-9\|	$\| x + 1 \| = \| - x - 9 \|$
38308	Find the Center and Radius	x^2-6x+y^2+8y+c=0	$x^{2} - 6 x + y^{2} + 8 y + c = 0$
38309	Find the Exact Value	(-1/2)^2+3(-1/2)+5	${(- \frac{1}{2})}^{2} + 3 (- \frac{1}{2}) + 5$
38310	Solve for x	2x-5 square root of x+2=0	$2 x - 5 \sqrt{x} + 2 = 0$
38311	Find dy/dx	y=5(5x^2+3)^4	$y = 5 {(5 x^{2} + 3)}^{4}$
38312	Solve for t	7t+1<=t+4	$7 t + 1 \leq t + 4$
38313	Arrange in Order	3.7 , 3.6 , 3.8 , 3 2/3	$3.7$ , $3.6$ , $3.8$ , $3 \frac{2}{3}$
38314	Find the x and y Intercepts	h(x)=x^4-3x^2+x	$h (x) = x^{4} - 3 x^{2} + x$
38315	Evaluate	pi/4+pi/4+pi/4	$\frac{π}{4} + \frac{π}{4} + \frac{π}{4}$
38316	Solve the System of Equations	x+2y=6 -x-2y+6=0	$x + 2 y = 6$ $- x - 2 y + 6 = 0$
38317	Solve for x	sin(2x)=2cos(x)^2	$\sin (2 x) = 2 \cos^{2} (x)$
38318	Solve the System of Equations	-3x+9y=42 and 2x-2y=4	$- 3 x + 9 y = 42$ and $2 x - 2 y = 4$
38319	Solve for k	3k-14=3(k-5)+1	$3 k - 14 = 3 (k - 5) + 1$
38320	Solve for x	-x+1/2x=67/12+x+5/3-2	$- x + \frac{1}{2} x = \frac{67}{12} + x + \frac{5}{3} - 2$
38321	Convert from Radians to Degrees	-12pirad	$- 12 π$ radians
38322	Simplify	cube root of 16+7 cube root of 2- cube root of 54	$\sqrt[3]{16} + 7 \sqrt[3]{2} - \sqrt[3]{54}$
38323	Simplify the Radical Expression	(n^(7/2))^3	${(n^{\frac{7}{2}})}^{3}$
38324	Solve for u	(5u)/8+2=(7u)/12	$\frac{5 u}{8} + 2 = \frac{7 u}{12}$
38325	Solve the Function Operation	The functions f and g are defined by f(x)=1/2x+2 and g(x)=2x Therefore f(2)+g(2) is equal to?	The functions $f$ and $g$ are defined by $f (x) = \frac{1}{2} x + 2$ and $g (x) = 2 x$ Therefore $f (2) + g (2)$ is equal to?
38326	Solve for y	y=-4/4+7	$y = \frac{- 4}{4} + 7$
38327	Solve the Inequality for a	3.4<0.4(a+12)	$3.4 < 0.4 (a + 12)$
38328	Graph	3x+4y<20 x-2y<0	$3 x + 4 y < 20$ $x - 2 y < 0$
38329	Find dy/dx	(x^2+y)^4=2y	${(x^{2} + y)}^{4} = 2 y$
38330	Combine Like Terms	(-x^4+13x^5+6x^3)+(6x^3+5x^5+7x^4)	$(- x^{4} + 13 x^{5} + 6 x^{3}) + (6 x^{3} + 5 x^{5} + 7 x^{4})$
38331	Simplify	(sec(theta)sin(theta))/(tan(theta)+cot(theta))	$\frac{\sec (θ) \sin (θ)}{\tan (θ) + \cot (θ)}$
38332	Solve by Substitution	x+y=5 y+1=3x^2+2x	$x + y = 5$ $y + 1 = 3 x^{2} + 2 x$
38333	Solve for p	square root of 8-p=2+ square root of 2p+3	$\sqrt{8 - p} = 2 + \sqrt{2 p + 3}$
38334	Solve for d	13=d÷6	$13 = d \div 6$
38335	Write in Exponential Form	fourth root of 7^5* fourth root of 7	$\sqrt[4]{7^{5}} \cdot \sqrt[4]{7}$
38336	Simplify	((x+3)/(x+1)-2)/(x-1)	$\frac{\frac{x + 3}{x + 1} - 2}{x - 1}$
38337	Solve for x	sin(x)^2+cos(x)=0	$\sin^{2} (x) + \cos (x) = 0$
38338	Solve the System of Inequalities	x<-5 and x<5	$x < - 5$ and $x < 5$
38339	Find the Center and Radius	x^2+y^2+4y+4=9	$x^{2} + y^{2} + 4 y + 4 = 9$
38340	Simplify	1/(cot(theta))+1/(tan(theta))	$\frac{1}{\cot (θ)} + \frac{1}{\tan (θ)}$
38341	Solve for b	b = cube root of 42* cube root of 42* cube root of 42	$b = \sqrt[3]{42} \cdot \sqrt[3]{42} \cdot \sqrt[3]{42}$
38342	Solve the Inequality for x	cos(x)>=-1/2	$\cos (x) \geq - \frac{1}{2}$
38343	Factor	f(x)=x^4+x^2-12	$f (x) = x^{4} + x^{2} - 12$
38344	Simplify	(2pq^2)^2(pq^2)^4	${(2 p q^{2})}^{2} {(p q^{2})}^{4}$
38345	Find the Derivative - d/dx	y=cot(1-sin(x))^2	$y = \cot^{2} (1 - \sin (x))$
38346	Solve the System of Equations	x-2y+3z=9 -x+3y-z=-6 2x-5y+5z=17	$x - 2 y + 3 z = 9$ $- x + 3 y - z = - 6$ $2 x - 5 y + 5 z = 17$
38347	Solve for b	(9b)/16=3/8	$\frac{9 b}{16} = \frac{3}{8}$
38348	Find the Coterminal Angle	13/2pi	$\frac{13}{2} π$
38349	Find the Domain	square root of 6^t-36	$\sqrt{6^{t} - 36}$
38350	Simplify	cos(105 degrees )	$\cos (105 °)$
38351	Solve for d	d=( cube root of -55)^3	$d = {(\sqrt[3]{- 55})}^{3}$
38352	Solve for x	square root of x-1+ square root of 3x-2-3=0	$\sqrt{x - 1} + \sqrt{3 x - 2} - 3 = 0$
38353	Find the Antiderivative	x^3+x+102	$x^{3} + x + 102$
38354	Find the Degree	13x^2-6x=21	$13 x^{2} - 6 x = 21$
38355	Find the Product	2^42^5=(22)^(4+5)	$2^{4} \cdot 2^{5} = {(2 \cdot 2)}^{4 + 5}$
38356	Simplify	( square root of x+1/( square root of x))^2	${(\sqrt{x} + \frac{1}{\sqrt{x}})}^{2}$
38357	Solve for x	3x=39/7	$3 x = \frac{39}{7}$
38358	Find the Vertex	(x^2)/12+((y-7)^2)/15=1	$\frac{x^{2}}{12} + \frac{{(y - 7)}^{2}}{15} = 1$
38359	Convert to a Decimal	5% as a decimal	$5 %$ as a decimal
38360	Evaluate	2!*3!	$2! \cdot 3!$
38361	Simplify	2x^3y^-2*2x^5	$2 x^{3} y^{- 2} \cdot 2 x^{5}$
38362	Solve Using the Quadratic Formula	0=1/3x^2-3	$0 = \frac{1}{3} x^{2} - 3$
38363	Multiply	(-8m^7)(3n^5)	$(- 8 m^{7}) (3 n^{5})$
38364	Find the Complex Conjugate	(2- square root of 3)	$(2 - \sqrt{3})$
38365	Simplify the Radical Expression	square root of 18/81	$\sqrt{\frac{18}{81}}$
38366	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+15x^2+24x-14 is divided by 2x+7	Use the long division method to find the result when $2 x^{3} + 15 x^{2} + 24 x - 14$ is divided by $2 x + 7$
38367	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3-5x^2+3x+9 is divided by x+1	Use the long division method to find the result when $x^{3} - 5 x^{2} + 3 x + 9$ is divided by $x + 1$
38368	Write the Fraction in Simplest Form	(10v^3t^-5)/((2v^2t^-2)^-5)	$\frac{10 v^{3} t^{- 5}}{{(2 v^{2} t^{- 2})}^{- 5}}$
38369	Solve for y	xy+y^2=1	$x y + y^{2} = 1$
38370	Solve the Inequality for x	(6(x-3))/8>=3	$\frac{6 (x - 3)}{8} \geq 3$
38371	Find the Antiderivative	1/( cube root of x)-2x^(2/5)+3	$\frac{1}{\sqrt[3]{x}} - 2 x^{\frac{2}{5}} + 3$
38372	Convert to a Decimal	sin(74)deg	$\sin (74)$ degrees
38373	Solve the Inequality for g	-6(g+4)<=12	$- 6 (g + 4) \leq 12$
38374	Graph	x+y<=4 and x>=2	$x + y \leq 4$ and $x \geq 2$
38375	Multiply	3/4*2/9	$\frac{3}{4} \cdot \frac{2}{9}$
38376	Evaluate	(a-7)/3+(5a-3)/6-(2a+5)/4	$\frac{a - 7}{3} + \frac{5 a - 3}{6} - \frac{2 a + 5}{4}$
38377	Solve for F	C=(F-32)/1.8	$C = \frac{(F - 32)}{1.8}$
38378	Graph	f(x)=1/2cot(x)	$f (x) = \frac{1}{2} \cot (x)$
38379	Evaluate the Limit	limit as x approaches negative infinity of (x^2)/(e^(1-x))	$lim_{x \to - \infty} \frac{x^{2}}{e^{1 - x}}$
38380	Simplify	(kd^8)(kd)^8(k^8d)	$(k d^{8}) {(k d)}^{8} (k^{8} d)$
38381	Evaluate	(3+2i)(-2+3i)^-1*(-i)+1	$(3 + 2 i) {(- 2 + 3 i)}^{- 1} \cdot (- i) + 1$
38382	Find the Integral	(e^x)/(e^x+1)	$\frac{e^{x}}{e^{x} + 1}$
38383	Solve the System of Equations	(x-3)^2+y^2=40 x-y=-1	${(x - 3)}^{2} + y^{2} = 40$ $x - y = - 1$
38384	Evaluate	((0.5)^2-2*0.5+4)	$({(0.5)}^{2} - 2 \cdot 0.5 + 4)$
38385	Solve for x	x^5=18x^3-81x	$x^{5} = 18 x^{3} - 81 x$
38386	Evaluate	(16*32)/(4^-3)	$\frac{16 \cdot 32}{4^{- 3}}$
38387	Evaluate	(8(109/125))/(3/5)	$\frac{8 (\frac{109}{125})}{\frac{3}{5}}$
38388	Factor	(x^6-1)	$(x^{6} - 1)$
38389	Evaluate	(sin(pi/3)tan(pi/6)+csc(pi/4))^2	${(\sin (\frac{π}{3}) \tan (\frac{π}{6}) + \csc (\frac{π}{4}))}^{2}$
38390	Find g(f(x))	f(x)=2x g(x)=-4x+5	$f (x) = 2 x$ $g (x) = - 4 x + 5$
38391	Find the Roots (Zeros)	f(x)=2x^4+x^3-7x^2-3x+3	$f (x) = 2 x^{4} + x^{3} - 7 x^{2} - 3 x + 3$
38392	Evaluate	1/(-3^-3)	$\frac{1}{- 3^{- 3}}$
38393	Evaluate	(20e^(10-6))/((1+e^(10-6))^2)	$\frac{20 e^{10 - 6}}{{(1 + e^{10 - 6})}^{2}}$
38394	Find the x and y Intercepts	p(x)=(x^2-9)(x^2+x-2)	$p (x) = (x^{2} - 9) (x^{2} + x - 2)$
38395	Solve for n	39=6(6n-3)-3(3n-1)	$39 = 6 (6 n - 3) - 3 (3 n - 1)$
38396	Simplify	2x^-1y^4*2y^0	$2 x^{- 1} y^{4} \cdot 2 y^{0}$
38397	Find the Integral	(dx)/(cos(x)^2)	$\frac{d x}{\cos^{2} (x)}$
38398	Solve for y	8/(7y-2)=3	$\frac{8}{7 y - 2} = 3$
38399	Solve for x	2 square root of x-1+3=1	$2 \sqrt{x - 1} + 3 = 1$
38400	Divide	(2h^4-h^3+h^2+h-3)/(h^2-1)	$\frac{2 h^{4} - h^{3} + h^{2} + h - 3}{h^{2} - 1}$