Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
14201	Find dy/dx	-y^2-x^2y-x^2=-2	$- y^{2} - x^{2} y - x^{2} = - 2$
14202	Solve for y	2x+y=3x-7	$2 x + y = 3 x - 7$
14203	Multiply	x(2x^2+3x)	$x (2 x^{2} + 3 x)$
14204	Evaluate	(3.14*2.4367)-2.34	$(3.14 \times 2.4367) - 2.34$
14205	Evaluate	(1^-1)/2	$\frac{1^{- 1}}{2}$
14206	Graph	y=-x-4 x+y=5	$y = - x - 4$ $x + y = 5$
14207	Evaluate the Limit	limit as x approaches 0 of e^(4x)-2e^(2x)+1	$lim_{x \to 0} e^{4 x} - 2 e^{2 x} + 1$
14208	Simplify	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
14209	Simplify	((y^3)/4-1/(y^3))^2	${(\frac{y^{3}}{4} - \frac{1}{y^{3}})}^{2}$
14210	Factor	x^3+x^2-4x-4=0	$x^{3} + x^{2} - 4 x - 4 = 0$
14211	Solve for p	3p-16=4(p-5)+p+4	$3 p - 16 = 4 (p - 5) + p + 4$
14212	Solve for p	3125=(-1-18p)^(5/3)	$3125 = {(- 1 - 18 p)}^{\frac{5}{3}}$
14213	Simplify	9^(-3/4)*9^(-3/4)	$9^{- \frac{3}{4}} \cdot 9^{- \frac{3}{4}}$
14214	Evaluate	5(-1/3)^3-3(-1/3)^2+2(-1/3)+4	$5 {(- \frac{1}{3})}^{3} - 3 {(- \frac{1}{3})}^{2} + 2 (- \frac{1}{3}) + 4$
14215	Find Amplitude, Period, and Phase Shift	y=-8tan(x/7)+5	$y = - 8 \tan (\frac{x}{7}) + 5$
14216	Evaluate	\|4(-3)+2\|	$\| 4 (- 3) + 2 \|$
14217	Divide	(9x^3y^2+15x^2y-6x^2)/(3x^2)	$\frac{9 x^{3} y^{2} + 15 x^{2} y - 6 x^{2}}{3 x^{2}}$
14218	Simplify	(3m-n)/(3m^2n)-(2n-m)/(2mn^2)	$\frac{3 m - n}{3 m^{2} n} - \frac{2 n - m}{2 m n^{2}}$
14219	Find the Derivative - d/dx	x+ square root of 7x-3	$x + \sqrt{7 x - 3}$
14220	Find the Antiderivative	(x(2+x))/((x+1)^2)	$\frac{x (2 + x)}{{(x + 1)}^{2}}$
14221	Solve the System of Inequalities	x+7>(-2) and y-5<9	$x + 7 > (- 2)$ and $y - 5 < 9$
14222	Solve Using the Quadratic Formula	-4/3x^2-15=201	$- \frac{4}{3} x^{2} - 15 = 201$
14223	Subtract	(3x)/(4y^2)-y/(10x)	$\frac{3 x}{4 y^{2}} - \frac{y}{10 x}$
14224	Evaluate	(- square root of -1)	$(- \sqrt{- 1})$
14225	Find the Derivative - d/dx	x^3-x^2cos(x)	$x^{3} - x^{2} \cos (x)$
14226	Find the GCF	18 and 27	$18$ and $27$
14227	Find the Average Value of the Function	f(x)=-4/(x-2) , [0,1]	$f (x) = - \frac{4}{x - 2}$ , $[0, 1]$
14228	Factor by Grouping	2x-5xy+30y-12	$2 x - 5 x y + 30 y - 12$
14229	Evaluate	3(t^2-16)^2+19(t^2-16)=-6	$3 {(t^{2} - 16)}^{2} + 19 (t^{2} - 16) = - 6$
14230	Find the Second Derivative	y=-1/4x^-4-1/16+1/4x^4	$y = - \frac{1}{4} x^{- 4} - \frac{1}{16} + \frac{1}{4} x^{4}$
14231	Simplify	(-8+i)-(2i)-3	$(- 8 + i) - (2 i) - 3$
14232	Simplify	x^-4y^-4z^-1*2yx^3z^-3	$x^{- 4} y^{- 4} z^{- 1} \cdot 2 y x^{3} z^{- 3}$
14233	Simplify	(-2/3)^-3	${(- \frac{2}{3})}^{- 3}$
14234	Find the Integral	(x^2)/(x^2+1)	$\frac{x^{2}}{x^{2} + 1}$
14235	Add	2+-1/2	$2 + - \frac{1}{2}$
14236	Solve for x	3(x-2)-1=2(x-5(x+4))	$3 (x - 2) - 1 = 2 (x - 5 (x + 4))$
14237	Solve for c	-36=-9(c-12)^(1/2)	$- 36 = - 9 {(c - 12)}^{\frac{1}{2}}$
14238	Evaluate	fourth root of 16(x-3)^12	$\sqrt[4]{16 {(x - 3)}^{12}}$
14239	Convert to a Decimal	cos(45)deg	$\cos (45)$ degrees
14240	Simplify	square root of 5x- square root of 45x+ cube root of 81x- cube root of 24x	$\sqrt{5 x} - \sqrt{45 x} + \sqrt[3]{81 x} - \sqrt[3]{24 x}$
14241	Find the Derivative - d/dx	4x^2e^(x^2)+2e^(x^2)	$4 x^{2} e^{x^{2}} + 2 e^{x^{2}}$
14242	Simplify	(6+4w)*15	$(6 + 4 w) \times 15$
14243	Solve the Inequality for x	3x-y<10	$3 x - y < 10$
14244	Evaluate	( square root of 4-2)/(4-4)	$\frac{\sqrt{4} - 2}{4 - 4}$
14245	Simplify	(10x^6y^4)^2+11x^5y*4x^7y^7	${(10 x^{6} y^{4})}^{2} + 11 x^{5} y \cdot 4 x^{7} y^{7}$
14246	Find the GCF	24x^3-9x^2y^2-12y	$24 x^{3} - 9 x^{2} y^{2} - 12 y$
14247	Solve Using the Quadratic Formula	(5x+8)^2-8=35	${(5 x + 8)}^{2} - 8 = 35$
14248	Combine Like Terms	3x^2-3-7x-6x^2+5	$3 x^{2} - 3 - 7 x - 6 x^{2} + 5$
14249	Find the Derivative - d/dx	y = square root of 5x	$y = \sqrt{5} x$
14250	Simplify	(3x)^(2/3)(3x)^(7/3)	${(3 x)}^{\frac{2}{3}} {(3 x)}^{\frac{7}{3}}$
14251	Find Where Increasing/Decreasing	f(x)=((x+1)^2)/(x-4)	$f (x) = \frac{{(x + 1)}^{2}}{x - 4}$
14252	Simplify	(x^12y^0z^9)^(1/3)	${(x^{12} y^{0} z^{9})}^{\frac{1}{3}}$
14253	Evaluate the Limit	limit as x approaches 0 of (1+x)/(4x-1)	$lim_{x \to 0} \frac{1 + x}{4 x - 1}$
14254	Simplify	(4xy^2)/(x^-4)	$\frac{4 x y^{2}}{x^{- 4}}$
14255	Find the Inverse	f(x) = square root of 9x^2	$f (x) = \sqrt{9 x^{2}}$
14256	Find the Antiderivative	( square root of x)/(x^2)	$\frac{\sqrt{x}}{x^{2}}$
14257	Simplify	(a^-1b^(-1/3)a^(-4/3)*b^2)^2	${(a^{- 1} \cdot b^{- \frac{1}{3}} \cdot a^{- \frac{4}{3}} \cdot b^{2})}^{2}$
14258	Find the LCD	(7x)/(5x+10) and (-5x)/(x+2)	$\frac{7 x}{5 x + 10}$ and $\frac{- 5 x}{x + 2}$
14259	Solve the Differential Equation	y'=yx^3	$y' = y x^{3}$
14260	Combine Like Terms	3/4a+8-1/4a-2	$\frac{3}{4} a + 8 - \frac{1}{4} a - 2$
14261	Factor	12a^3+4a^2+3ab+b	$12 a^{3} + 4 a^{2} + 3 a b + b$
14262	Write in Standard Form	f(x)=3(x-6)(x+2)	$f (x) = 3 (x - 6) (x + 2)$
14263	Solve for x	8- square root of x=10	$8 - \sqrt{x} = 10$
14264	Divide	(4+i)/(8i)	$\frac{4 + i}{8 i}$
14265	Add	-3x^2-4x+3+2x^2-x+3	$- 3 x^{2} - 4 x + 3 + 2 x^{2} - x + 3$
14266	Convert from Radians to Degrees	(5pi)/6rad	$\frac{5 π}{6}$ radians
14267	Solve the Inequality for a	3a+9>5(a-3)	$3 a + 9 > 5 (a - 3)$
14268	Calculate the Square Root	cube root of -216/512	$\sqrt[3]{- \frac{216}{512}}$
14269	Solve the Function Operation	f(x)=(x+3)^2+5 if x<-2; 6 if -2<=x<=2; 2x+2 if x>2 Find f(-1)	$f (x) = {\begin{cases} {(x + 3)}^{2} + 5 & x < - 2 \\ 6 & - 2 \leq x \leq 2 \\ 2 x + 2 & x > 2 \end{cases}$ Find $f (- 1)$
14270	Find the LCM	x^2-y^2 and x^2-2xy+y^2	$x^{2} - y^{2}$ and $x^{2} - 2 x y + y^{2}$
14271	Evaluate	i^13i^23i^9	$i^{13} \cdot i^{23} \cdot i^{9}$
14272	Solve for E	E^2+F^2=1	$E^{2} + F^{2} = 1$
14273	Simplify	(-3^-2)/(2^-3)	$\frac{- 3^{- 2}}{2^{- 3}}$
14274	Find the Asymptotes	y=(x^2+7x+12)/(x^2-4)	$y = \frac{x^{2} + 7 x + 12}{x^{2} - 4}$
14275	Graph	y<=-5/2\|x-4\|	$y \leq - \frac{5}{2} \| x - 4 \|$
14276	Simplify	(5x-5)/(x^2-2x-15)+(-4x+8)/(x^2-2x-15)	$\frac{5 x - 5}{x^{2} - 2 x - 15} + \frac{- 4 x + 8}{x^{2} - 2 x - 15}$
14277	Find the x and y Intercepts	y=4 log of x+6	$y = 4 \log (x + 6)$
14278	Solve the Inequality for x	x/(x+2)>=2	$\frac{x}{x + 2} \geq 2$
14279	Simplify	((x+h)/(x+h+1)-x/(x+1))/h	$\frac{\frac{x + h}{x + h + 1} - \frac{x}{x + 1}}{h}$
14280	Simplify	(3x^3y^2)/(4x^5)	$\frac{3 x^{3} y^{2}}{4 x^{5}}$
14281	Solve for n	square root of n-1=-7	$\sqrt{n - 1} = - 7$
14282	Evaluate	0^(-1/2)	$0^{- \frac{1}{2}}$
14283	Find dy/dx	square root of x+y=x	$\sqrt{x + y} = x$
14284	Add	(4a^2b-3ab^2+2ab+5) and (2a^2b+3ab^2-7ab)	$(4 a^{2} b - 3 a b^{2} + 2 a b + 5)$ and $(2 a^{2} b + 3 a b^{2} - 7 a b)$
14285	Solve the System of Equations	-2x-3y=6 and -x+6y=18	$- 2 x - 3 y = 6$ and $- x + 6 y = 18$
14286	Simplify	(x+8)/(3x+7)+(x+7)/(x+4)	$\frac{x + 8}{3 x + 7} + \frac{x + 7}{x + 4}$
14287	Solve for c	195=-3c^3+3	$195 = - 3 c^{3} + 3$
14288	Graph	x = square root of y+1	$x = \sqrt{y + 1}$
14289	Multiply	1/2* square root of 3	$\frac{1}{2} \cdot \sqrt{3}$
14290	Solve for n	square root of 4n = square root of 3n+9	$\sqrt{4 n} = \sqrt{3 n + 9}$
14291	Simplify	(x^4)/(x^3(x+6))	$\frac{x^{4}}{x^{3} (x + 6)}$
14292	Multiply	(x-7)/(-5x+40)*(x^2-64)/(-4x+28)	$\frac{x - 7}{- 5 x + 40} \cdot \frac{x^{2} - 64}{- 4 x + 28}$
14293	Solve for k	4k-16<k+2	$4 k - 16 < k + 2$
14294	Find the Average Rate of Change	f(x)=-x^3+24x^2-179x+495	$f (x) = - x^{3} + 24 x^{2} - 179 x + 495$
14295	Simplify	Simplify (p^6)^4	Simplify ${(p^{6})}^{4}$
14296	Solve for h	6 = square root of (3h)/2	$6 = \sqrt{\frac{3 h}{2}}$
14297	Simplify	(-7-3m^3-7m)-(-7m^3-3)	$(- 7 - 3 m^{3} - 7 m) - (- 7 m^{3} - 3)$
14298	Simplify	(f(-5))/(f(2))	$\frac{f (- 5)}{f (2)}$
14299	Solve the Function Operation	f(x) = square root of x+10 ; find f^-1(x)	$f (x) = \sqrt{x} + 10$ ; find $f^{- 1} (x)$
14300	Solve for a	j=(d^2-ah)/(3a)	$j = \frac{d^{2} - a h}{3 a}$