Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
37601	Find the Antiderivative	2^(3-x/2)	$2^{3 - \frac{x}{2}}$
37602	Solve Using the Quadratic Formula	5x^2+1/5=2x	$5 x^{2} + \frac{1}{5} = 2 x$
37603	Solve for x	(7(x-1))/2-5x=1/2	$\frac{7 (x - 1)}{2} - 5 x = \frac{1}{2}$
37604	Evaluate the Integral	integral of 6 square root of 4x-5 with respect to x	$\int 6 \sqrt{4 x - 5} d x$
37605	Solve for a	c=(ab)/(a+b)	$c = \frac{a b}{a + b}$
37606	Solve for t	3/4\|8t-12\|=6(t-1)	$\frac{3}{4} \| 8 t - 12 \| = 6 (t - 1)$
37607	Solve for h	-9h>(-63)	$- 9 h > (- 63)$
37608	Factor	2(x+1)(x-1)+5(x-1)	$2 (x + 1) (x - 1) + 5 (x - 1)$
37609	Simplify	(3+i square root of 3)/((i- square root of 3)^2)	$\frac{(3 + i \sqrt{3})}{{(i - \sqrt{3})}^{2}}$
37610	Factor	x(y-z)-w(y-z)	$x (y - z) - w (y - z)$
37611	Expand Using Sum/Difference Formulas	2(y+5x)	$2 (y + 5 x)$
37612	Solve for x	7x+3=4x-5x+12	$7 x + 3 = 4 x - 5 x + 12$
37613	Integrate Using u-Substitution	integral of x/( square root of x-2) with respect to x	$\int \frac{x}{\sqrt{x - 2}} d x$
37614	Simplify	x/(3x)+(8x)/(3x)	$\frac{x}{3 x} + \frac{8 x}{3 x}$
37615	Solve the System of Inequalities	x/-3<=2 or 2x+8<=-10	$\frac{x}{- 3} \leq 2$ or $2 x + 8 \leq - 10$
37616	Write in Slope-Intercept Form	(4,-3) , y=3x-5	$(4, - 3)$ , $y = 3 x - 5$
37617	Simplify	1/(x+1)+3/(x^2-1)-2/((x+1)^2)	$\frac{1}{x + 1} + \frac{3}{x^{2} - 1} - \frac{2}{{(x + 1)}^{2}}$
37618	Solve the Inequality for k	7k-3+5<-5	$7 k - 3 + 5 < - 5$
37619	Simplify	((w^2-81)/(4w^2+27w-7))÷((w^2-5w-36)/(w^2+11w+28))	$\frac{w^{2} - 81}{4 w^{2} + 27 w - 7} \div \frac{w^{2} - 5 w - 36}{w^{2} + 11 w + 28}$
37620	Find the Derivative - d/dx	arcsin((x^2)/(x^2-1))	$\arcsin (\frac{x^{2}}{x^{2} - 1})$
37621	Solve the Inequality for y	\|y+2\|>6	$\| y + 2 \| > 6$
37622	Solve the Function Operation	f(-6) if f(x)=4x+7	$f (- 6)$ if $f (x) = 4 x + 7$
37623	Solve for x in Degrees	cos(x)sin(x)+sin(x)=0	$\cos (x) \sin (x) + \sin (x) = 0$
37624	Solve the Rational Equation for x	-2+1/(x-1)=x/(x-1)	$- 2 + \frac{1}{x - 1} = \frac{x}{x - 1}$
37625	Factor by Grouping	64-40ab	$64 - 40 a b$
37626	Simplify	1/(4x^5)*((2x^2)/(y^3))^5	$\frac{1}{4 x^{5}} \cdot {(\frac{2 x^{2}}{y^{3}})}^{5}$
37627	Simplify	cube root of 24-2 fourth root of 112+3 fourth root of 7	$\sqrt[3]{24} - 2 \sqrt[4]{112} + 3 \sqrt[4]{7}$
37628	Simplify	(3x^5y^2)/( square root of 4x^2y^5)	$\frac{3 x^{5} y^{2}}{\sqrt{4 x^{2} y^{5}}}$
37629	Divide	(5/10)÷(6/12)	$\frac{5}{10} \div \frac{6}{12}$
37630	Graph	f(x)=\|x\| g(x)=\|x\|-4	$f (x) = \| x \|$ $g (x) = \| x \| - 4$
37631	Find the Inverse	f(x)=(x-2)^2 , [2,infinity)	$f (x) = {(x - 2)}^{2}$ , $[2, \infty)$
37632	Find the GCF	What is the greatest common factor of 9 and 36 ?	What is the greatest common factor of $9$ and $36$ ?
37633	Simplify	x square root of 72x^3-3 square root of 8x^5+x square root of 2x^3	$x \sqrt{72 x^{3}} - 3 \sqrt{8 x^{5}} + x \sqrt{2 x^{3}}$
37634	Solve the System of Inequalities	4x+5<-4 OR 9x-2>-17	$4 x + 5 < - 4$ OR $9 x - 2 > - 17$
37635	Solve the Inequality for n	1>n+4	$1 > n + 4$
37636	Solve the Inequality for x	4\|5+2x\|+1>=13	$4 \| 5 + 2 x \| + 1 \geq 13$
37637	Solve for x	1/(x-1)-1/(x+1)=2/(x^2-1)	$\frac{1}{x - 1} - \frac{1}{x + 1} = \frac{2}{x^{2} - 1}$
37638	Find the Degree	-56a^2y^3+23a^2y-29a+17	$- 56 a^{2} y^{3} + 23 a^{2} y - 29 a + 17$
37639	Evaluate	( square root of a+ square root of b)( square root of a- square root of b)	$(\sqrt{a} + \sqrt{b}) (\sqrt{a} - \sqrt{b})$
37640	Find the Roots (Zeros)	f(x)=(6x^2+3)/(x-1)	$f (x) = \frac{6 x^{2} + 3}{x - 1}$
37641	Find Where Increasing/Decreasing	f(x) = log base 2 of x-4	$f (x) = \log_{2} (x) - 4$
37642	Solve for c	5/9(f-32)=c	$\frac{5}{9} (f - 32) = c$
37643	Simplify	(3x^5)^2*2x^-3	${(3 x^{5})}^{2} \cdot 2 x^{- 3}$
37644	Evaluate	-8x<48	$- 8 x < 48$
37645	Solve the Inequality for x	3/(2x-1)>-5/x	$\frac{3}{2 x - 1} > \frac{- 5}{x}$
37646	Find the Cosine of the Angle	2pi	$2 π$
37647	Simplify	(m/(n^2))^-2	${(\frac{m}{n^{2}})}^{- 2}$
37648	Simplify	(n^4q^4w^6)/(q^2n^3w)	$\frac{n^{4} q^{4} w^{6}}{q^{2} n^{3} w}$
37649	Solve for x	-8x+3-2x=-6x+3-4x	$- 8 x + 3 - 2 x = - 6 x + 3 - 4 x$
37650	Solve for x	x^2-e^x+3=1	$x^{2} - e^{x} + 3 = 1$
37651	Solve the System of Inequalities	2x-2<4 or 3x-1>8	$2 x - 2 < 4$ or $3 x - 1 > 8$
37652	Simplify the Radical Expression	sixth root of (64h^12)/(g^6)	$\sqrt[6]{\frac{64 h^{12}}{g^{6}}}$
37653	Multiply	square root of 2* square root of 6* square root of 10	$\sqrt{2} \cdot \sqrt{6} \cdot \sqrt{10}$
37654	Evaluate Using the Given Value	Solve P=2l+2w for l	Solve $P = 2 l + 2 w$ for $l$
37655	Solve the Absolute Value Inequality for x	\|x-3\|=\|3-x\|	$\| x - 3 \| = \| 3 - x \|$
37656	Solve the System of Inequalities	x-y>3 x>=6	$x - y > 3$ $x \geq 6$
37657	Find the Derivative - d/dx	3/4x^(4/3)-3/8x^(2/3)+9	$\frac{3}{4} x^{\frac{4}{3}} - \frac{3}{8} x^{\frac{2}{3}} + 9$
37658	Evaluate	(x^2y^8)^(2/3)	${(x^{2} y^{8})}^{\frac{2}{3}}$
37659	Solve for θ	2sin(theta)^2=sin(theta)+1	$2 \sin^{2} (θ) = \sin (θ) + 1$
37660	Solve the Inequality for r	\|3-2r\|>7	$\| 3 - 2 r \| > 7$
37661	Find the Derivative - d/dx	square root of 2+2x(x^2+1)^3	$\sqrt{2 + 2 x} {(x^{2} + 1)}^{3}$
37662	Simplify	(3a^2+a-1)/(a^2-2a+1)-(2a^2-a+2)/(a^2-2a+1)	$\frac{3 a^{2} + a - 1}{a^{2} - 2 a + 1} - \frac{2 a^{2} - a + 2}{a^{2} - 2 a + 1}$
37663	Expand Using Sum/Difference Formulas	tan(pi/4+x)	$\tan (\frac{π}{4} + x)$
37664	Find the x and y Intercepts	n(x)=-4^(5-2x)+3	$n (x) = - 4^{5 - 2 x} + 3$
37665	Evaluate Using the Given Value	p^3 at p=2	$p^{3}$ at $p = 2$
37666	Simplify	((8ab^-3)/(b^5))^2	${(\frac{8 a b^{- 3}}{b^{5}})}^{2}$
37667	Solve Using the Quadratic Formula	x-x^2+42=0	$x - x^{2} + 42 = 0$
37668	Find the Union	C={x\|x>3} D={x\|x<=8}	$C = {x \| x > 3}$ $D = {x \| x \leq 8}$
37669	Evaluate	(1/2)^2+21/21/3+(1/3)^2	${(\frac{1}{2})}^{2} + 2 \cdot \frac{1}{2} \cdot \frac{1}{3} + {(\frac{1}{3})}^{2}$
37670	Simplify	f(x)=2 square root of 0	$f (x) = 2 \sqrt{0}$
37671	Find Amplitude, Period, and Phase Shift	y=3-2cos(x/2)	$y = 3 - 2 \cos (\frac{x}{2})$
37672	Solve for x	log base b of x+ log base b of 3 = log base b of 27-1	$\log_{b} (x) + \log_{b} (3) = \log_{b} (27) - 1$
37673	Find the Domain	(a+b-(2ab)/(a+b))÷((a-b)/(a+b)+b/a)	$(a + b - \frac{2 a b}{a + b}) \div (\frac{a - b}{a + b} + \frac{b}{a})$
37674	Graph	2x-y>=5 7x+y>=4	$2 x - y \geq 5$ $7 x + y \geq 4$
37675	Simplify	sec(45 degrees )	$\sec (45 °)$
37676	Evaluate the Function	h(0)=1/2(-2)	$h (0) = \frac{1}{2} (- 2)$
37677	Describe the Transformation	h(x)=1/3(x-1)^2+2	$h (x) = \frac{1}{3} {(x - 1)}^{2} + 2$
37678	Find the Second Term	t_n=2n^2-n	$t_{n} = 2 n^{2} - n$
37679	Find the Fourth Term	1- square root of 2 , 1 , 1+ square root of 2	$1 - \sqrt{2}$ , $1$ , $1 + \sqrt{2}$
37680	Solve the Function Operation	h(t)=2*3^(t+3) ; Find h(4+t)	$h (t) = 2 \cdot 3^{t + 3}$ ; Find $h (4 + t)$
37681	Simplify	(x^2+y^2x+z)-(-x+xy^2-z)	$(x^{2} + y^{2} x + z) - (- x + x y^{2} - z)$
37682	Write in Standard Form	2x+3x^-1-5	$2 x + 3 x^{- 1} - 5$
37683	Describe the Transformation	y=2 square root of x-3	$y = 2 \sqrt{x - 3}$
37684	Find the Inverse	f(x)=(( seventh root of x)/10)^5+1	$f (x) = {(\frac{\sqrt[7]{x}}{10})}^{5} + 1$
37685	Determine if Linear	4x^4+12=y	$4 x^{4} + 12 = y$
37686	Graph	5x-y>=5 and y<4	$5 x - y \geq 5$ and $y < 4$
37687	Evaluate Using L'Hospital's Rule	limit as x approaches 2 of (4 natural log of 2x-3)/(2e^(2x-4)-2)	$lim_{x \to 2} \frac{4 \ln (2 x - 3)}{2 e^{2 x - 4} - 2}$
37688	Find the Derivative - d/dx	y=30x^(-2/4)+3x	$y = 30 x^{- \frac{2}{4}} + 3 x$
37689	Graph	x<=-1 and y<=-0.4x+2	$x \leq - 1$ and $y \leq - 0.4 x + 2$
37690	Solve the System of Equations	5x-3y-10=0 x+y-7=0	$5 x - 3 y - 10 = 0$ $x + y - 7 = 0$
37691	Simplify	(3/(7x^2))÷(5/(4x^2))	$\frac{3}{7 x^{2}} \div \frac{5}{4 x^{2}}$
37692	Divide Using Synthetic Division	(6x^3+5x^2+9)/(2x+3)	$\frac{6 x^{3} + 5 x^{2} + 9}{2 x + 3}$
37693	Simplify	((4n)/(n-6))÷((4n)/(8n-48))	$\frac{4 n}{n - 6} \div \frac{4 n}{8 n - 48}$
37694	Factor	30m^6+15mn^2-25	$30 m^{6} + 15 m n^{2} - 25$
37695	Simplify	(2x+5)/7-x/7	$\frac{2 x + 5}{7} - \frac{x}{7}$
37696	Solve for a	ax-4(3+2x)=-12	$a x - 4 (3 + 2 x) = - 12$
37697	Solve for y	3/4=-1/2-y	$\frac{3}{4} = - \frac{1}{2} - y$
37698	Graph	y=xe^(-x^2)	$y = x e^{- x^{2}}$
37699	Find the Third Term	t_n=2n^2-n	$t_{n} = 2 n^{2} - n$
37700	Find dy/dx	y=xe^(-x^2)	$y = x e^{- x^{2}}$