Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
23401	Find the Derivative - d/dx	d/(dx)(arctan( square root of x))	$\frac{d}{d x} (\arctan (\sqrt{x}))$
23402	Factor	(x^2-8x+16)/(3x-12)	$\frac{x^{2} - 8 x + 16}{3 x - 12}$
23403	Find All Complex Solutions	z+4/(z+1)=3	$z + \frac{4}{z + 1} = 3$
23404	Graph	y=(x+4)^2(x+1)	$y = {(x + 4)}^{2} (x + 1)$
23405	Solve for x	5+1/3(6x+9)=-(x-4)	$5 + \frac{1}{3} (6 x + 9) = - (x - 4)$
23406	Solve Over the Interval	sin(2x)=( square root of 2)/2 , 0<=x<2pi	$\sin (2 x) = \frac{\sqrt{2}}{2}$ , $0 \leq x < 2 π$
23407	Solve for y	9x+6y=-3 for y	$9 x + 6 y = - 3$ for $y$
23408	Solve for g	D=2/9(f-g)	$D = \frac{2}{9} (f - g)$
23409	Solve for x	((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1	$\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$
23410	Simplify	(81^8)^(-1/4)	${(81^{8})}^{- \frac{1}{4}}$
23411	Simplify	((x^2-1)/(x^2+4x-12))÷((x+1)/(x-2))	$\frac{x^{2} - 1}{x^{2} + 4 x - 12} \div \frac{x + 1}{x - 2}$
23412	Solve for x	-6/x-4/7=6/(7x)	$\frac{- 6}{x} - \frac{4}{7} = \frac{6}{7 x}$
23413	Find the Derivative - d/dx	natural log of x-2x^2	$\ln (x) - 2 x^{2}$
23414	Solve for x in Radians	sin(x)+cos(x)=0	$\sin (x) + \cos (x) = 0$
23415	Solve for x	2x-(5x-4)=4(-x+1)	$2 x - (5 x - 4) = 4 (- x + 1)$
23416	Integrate Using u-Substitution	integral of (x+1) square root of 2-x with respect to x	$\int (x + 1) \sqrt{2 - x} d x$
23417	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-2) and has a slope of -2 ?	What is the equation of the line that passes through the point $(4, - 2)$ and has a slope of $- 2$ ?
23418	Evaluate	i^7i^28i^25*i^19	$i^{7} \cdot i^{28} \cdot i^{25} \cdot i^{19}$
23419	Add	(15a^4+6a^2+a)+(6a^4-2a^2+a)	$(15 a^{4} + 6 a^{2} + a) + (6 a^{4} - 2 a^{2} + a)$
23420	Write the Fraction in Simplest Form	((4qh^-3)^-2)/(12q^8h^8)	$\frac{{(4 q h^{- 3})}^{- 2}}{12 q^{8} h^{8}}$
23421	Find the Remainder	(3x^3+9x^2-14)÷(x^2+x-3)	$(3 x^{3} + 9 x^{2} - 14) \div (x^{2} + x - 3)$
23422	Solve for x	4^x-5=3	$4^{x} - 5 = 3$
23423	Solve for x	9x-6-7x=8-12-2x	$9 x - 6 - 7 x = 8 - 12 - 2 x$
23424	Multiply	( square root of 7x+3)*( square root of 7x-3)	$(\sqrt{7 x} + 3) \cdot (\sqrt{7 x} - 3)$
23425	Find dy/dx	xy^2+x=3y	$x y^{2} + x = 3 y$
23426	Find the Domain and Range	f(x)=2+5sin(2x)	$f (x) = 2 + 5 \sin (2 x)$
23427	Solve by Factoring	2e-3-1/5e=7/5+3e+4	$2 e - 3 - \frac{1}{5} e = \frac{7}{5} + 3 e + 4$
23428	Find the Degree, Leading Term, and Leading Coefficient	x^3-3x^2+6x-18	$x^{3} - 3 x^{2} + 6 x - 18$
23429	Factor	5a(2a-3b)+6(2a-3b)	$5 a (2 a - 3 b) + 6 (2 a - 3 b)$
23430	Simplify	(5-3zi)(1+6i)-(5-4zi)(1+6i)	$(5 - 3 z i) (1 + 6 i) - (5 - 4 z i) (1 + 6 i)$
23431	Solve for x	(4x+7)^2=(7x+4)^2	${(4 x + 7)}^{2} = {(7 x + 4)}^{2}$
23432	Evaluate the Function	f(-3)=2(-3)^2-3*-3	$f (- 3) = 2 {(- 3)}^{2} - 3 \cdot - 3$
23433	Solve by Substitution	3x-2y=11 x-1/2y=4	$3 x - 2 y = 11$ $x - \frac{1}{2} y = 4$
23434	Evaluate	(-b+ square root of b^2-4ac)/(2a)	$\frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
23435	Simplify	( square root of 48k)/( square root of 5)	$\frac{\sqrt{48 k}}{\sqrt{5}}$
23436	Simplify	t^2-59t+54-82t^2+60t	$t^{2} - 59 t + 54 - 82 t^{2} + 60 t$
23437	Find dy/dx	-xy^3-5x^2=2y^3+2	$- x y^{3} - 5 x^{2} = 2 y^{3} + 2$
23438	Write in Standard Form	f(x)=-3x^3+2x^5+x+8x^3-6+x^4-3x^2	$f (x) = - 3 x^{3} + 2 x^{5} + x + 8 x^{3} - 6 + x^{4} - 3 x^{2}$
23439	Simplify	((5a^2)(6p^3))/((2a^3)(5^-1p)^-2)	$\frac{(5 a^{2}) (6 p^{3})}{(2 a^{3}) {(5^{- 1} p)}^{- 2}}$
23440	Simplify	(21d^18e^5)/(7d^11e^6)	$\frac{21 d^{18} e^{5}}{7 d^{11} e^{6}}$
23441	Find the Product	(2x^2+xy-y)(y^2+3x)	$(2 x^{2} + x y - y) (y^{2} + 3 x)$
23442	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,5) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 3, 5)$ and has a slope of $- 2$ ?
23443	Divide	((x^2-4x-5)/(x^2-3x+2))÷((x^2-3x-10)/(x^2-4))	$\frac{x^{2} - 4 x - 5}{x^{2} - 3 x + 2} \div \frac{x^{2} - 3 x - 10}{x^{2} - 4}$
23444	Simplify	square root of 3x+ square root of 12+(x+5)/( square root of 3)	$\sqrt{3 x} + \sqrt{12} + \frac{x + 5}{\sqrt{3}}$
23445	Simplify	4 square root of 3*0.3 square root of 3	$4 \sqrt{3} \cdot 0.3 \sqrt{3}$
23446	Find dy/dx	-x^2+xy=2	$- x^{2} + x y = 2$
23447	Solve for x	3(x-3)^2+2=26	$3 {(x - 3)}^{2} + 2 = 26$
23448	Simplify	(4+ square root of -25)( square root of -100)	$(4 + \sqrt{- 25}) (\sqrt{- 100})$
23449	Solve for x	f(-x)=3x^2+2x-4	$f (- x) = 3 x^{2} + 2 x - 4$
23450	Solve for m	1/(7/(3/4))=1/(6/m)	$\frac{1}{\frac{7}{\frac{3}{4}}} = \frac{1}{\frac{6}{m}}$
23451	Find the Exact Value	sin(135 degrees )-sin(270 degrees )	$\sin (135 °) - \sin (270 °)$
23452	Convert to a Decimal	Write the fraction 3/5 as a decimal.	Write the fraction $\frac{3}{5}$ as a decimal.
23453	Simplify	4/7x^3+1/7x^3	$\frac{4}{7} x^{3} + \frac{1}{7} x^{3}$
23454	Find dy/dx	0=-2y^2+x^2+x	$0 = - 2 y^{2} + x^{2} + x$
23455	Convert from Radians to Degrees	cos(pi/4)	$\cos (\frac{π}{4})$
23456	Solve for x	-(x-4)+5(2x+1)=4(2x-2)+14	$- (x - 4) + 5 (2 x + 1) = 4 (2 x - 2) + 14$
23457	Find the Equation of the Circle	(1,-7) , r=-3	$(1, - 7)$ , $r = - 3$
23458	Solve for k	6^(k+4)=2^(1-3k)	$6^{k + 4} = 2^{1 - 3 k}$
23459	Find the Domain and Range	y=7arctan(3x)	$y = 7 \arctan (3 x)$
23460	Find the x and y Intercepts	y=x^4+3x^3-10x^2-24x	$y = x^{4} + 3 x^{3} - 10 x^{2} - 24 x$
23461	Simplify	(r^3-6t^4)(r^3+6t^4)	$(r^{3} - 6 t^{4}) (r^{3} + 6 t^{4})$
23462	Solve for x	5^x+5^(x-1)=150	$5^{x} + 5^{x - 1} = 150$
23463	Evaluate	1/a-1/b	$\frac{1}{a} - \frac{1}{b}$
23464	Simplify	3(5i-4)-2(6i-7)	$3 (5 i - 4) - 2 (6 i - 7)$
23465	Simplify	(tan(x))/(sec(x)^2)	$\frac{\tan (x)}{\sec^{2} (x)}$
23466	Simplify	4^x4^(x+1)4	$4^{x} \cdot 4^{x + 1} \cdot 4$
23467	Simplify	(16x-4)/(16x^2-8x+1)	$\frac{16 x - 4}{16 x^{2} - 8 x + 1}$
23468	Simplify	( square root of 6^3)/( fourth root of 6)	$\frac{\sqrt{6^{3}}}{\sqrt[4]{6}}$
23469	Graph	16(x-3)^2+4y^2<=64 y<=-\|x-2\|+2	$16 {(x - 3)}^{2} + 4 y^{2} \leq 64$ $y \leq - \| x - 2 \| + 2$
23470	Solve for t	2t-9=14+t	$2 t - 9 = 14 + t$
23471	Find the Degree	-10x^6-2x^5+4x^4+7x^3-9x^2+5.5x-1	$- 10 x^{6} - 2 x^{5} + 4 x^{4} + 7 x^{3} - 9 x^{2} + 5.5 x - 1$
23472	Evaluate	1/(-1^2)	$\frac{1}{- 1^{2}}$
23473	Evaluate the Function	f(x)=-x^3 , (f(a+h)-f(a))/h	$f (x) = - x^{3}$ , $\frac{f (a + h) - f (a)}{h}$
23474	Solve for n	n-5<=5n-1	$n - 5 \leq 5 n - 1$
23475	Solve for a	2-3a^3=-148	$2 - 3 a^{3} = - 148$
23476	Graph	x-2y>-2 2x+y<3	$x - 2 y > - 2$ $2 x + y < 3$
23477	Solve the Inequality for x	2x-3<x+2<=3x+5	$2 x - 3 < x + 2 \leq 3 x + 5$
23478	Solve for x	x^3+12=-52	$x^{3} + 12 = - 52$
23479	Evaluate Using the Given Value	3x+8 if x=2	$3 x + 8$ if $x = 2$
23480	Find dy/dx	0=xy+y^3-5-x^2	$0 = x y + y^{3} - 5 - x^{2}$
23481	Solve the System of Equations	x^2=-32/3y x^2+y^2=100	$x^{2} = - \frac{32}{3} y$ $x^{2} + y^{2} = 100$
23482	Solve the Inequality for x	\|4x-2\|+3<9	$\| 4 x - 2 \| + 3 < 9$
23483	Multiply	(4-5x)(1-2x)(3x+2)	$(4 - 5 x) (1 - 2 x) (3 x + 2)$
23484	Graph	-18+n<-7	$- 18 + n < - 7$
23485	Write in y=mx+b Form	(-9,7) and (-6,-3)	$(- 9, 7)$ and $(- 6, - 3)$
23486	Find the Exact Value	cot(arcsin(-( square root of 2)/3))	$\cot (\arcsin (- \frac{\sqrt{2}}{3}))$
23487	Find the Tangent of the Angle	(4pi)/3	$\frac{4 π}{3}$
23488	Solve the Absolute Value Inequality for x	(4\|x-9\|)/3>8	$\frac{4 \| x - 9 \|}{3} > 8$
23489	Find Where Increasing/Decreasing	y=350(1+0.75)^t	$y = 350 {(1 + 0.75)}^{t}$
23490	Simplify	((2a^2b^4)/(a^4b))	$(\frac{2 a^{2} b^{4}}{a^{4} b})$
23491	Evaluate the Limit	limit as x approaches 0 of \|sin(x)\|cos(1/x)	$lim_{x \to 0} \| \sin (x) \| \cos (\frac{1}{x})$
23492	Find the Antiderivative	1/(cos(3x)^2)	$\frac{1}{\cos^{2} (3 x)}$
23493	Solve for c	c/(c-3)=3/(c-3)-3/4	$\frac{c}{c - 3} = \frac{3}{c - 3} - \frac{3}{4}$
23494	Evaluate the Integral	integral from 0 to infinity of 5/((x+4)^4) with respect to x	$\int_{0}^{\infty} \frac{5}{{(x + 4)}^{4}} d x$
23495	Write the Fraction in Simplest Form	(15r^6c^-8)/((3r^-3c)^-5)	$\frac{15 r^{6} c^{- 8}}{{(3 r^{- 3} c)}^{- 5}}$
23496	Simplify	(2/(3x^3))÷((4x^3)/3)	$\frac{2}{3 x^{3}} \div \frac{4 x^{3}}{3}$
23497	Evaluate	20% of 15	$20 %$ of $15$
23498	Solve for x	3^x*5^(x+1)=6^(x+2)	$3^{x} \cdot 5^{x + 1} = 6^{x + 2}$
23499	Find the Derivative - d/dx	tan(x)+7x^2-pix+2	$\tan (x) + 7 x^{2} - π x + 2$
23500	Solve the Function Operation	f(x)=(x^5)/5 ; find f^-1(x)	$f (x) = \frac{x^{5}}{5}$ ; find $f^{- 1} (x)$