Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
31101	Simplify	3(x-2)=2(x-2)	$3 (x - 2) = 2 (x - 2)$
31102	Integrate By Parts	integral from 0 to 1 of arctan(4x) with respect to x	$\int_{0}^{1} \arctan (4 x) d x$
31103	Evaluate	6/8=(23)/(24)	$\frac{6}{8} = \frac{2 \cdot 3}{2 \cdot 4}$
31104	Solve for x	2(x+5)=5-4(x+5)	$2 (x + 5) = 5 - 4 (x + 5)$
31105	Simplify	2 fourth root of p^2q*7 fourth root of p^3q^10	$2 \sqrt[4]{p^{2} q} \cdot 7 \sqrt[4]{p^{3} q^{10}}$
31106	Solve for x	32^(-3x)=(1/4)^(-3x)	$32^{- 3 x} = {(\frac{1}{4})}^{- 3 x}$
31107	Solve for x	x^3+a=c	$x^{3} + a = c$
31108	Evaluate	(2 square root of 3)^4	${(2 \sqrt{3})}^{4}$
31109	Solve the Inequality for x	2<=(4x+2)/-3<=10	$2 \leq \frac{4 x + 2}{- 3} \leq 10$
31110	Evaluate	sin((2pi)/4)	$\sin (\frac{2 π}{4})$
31111	Find the Antiderivative	x/(1-x)	$\frac{x}{1 - x}$
31112	Evaluate	arctan(cos(pi))	$\arctan (\cos (π))$
31113	Simplify	(x^2+6x-7)/(2x^3+2x^2-4x)4/(x+7)(x^3-4x)/(6x^2-12x)	$\frac{x^{2} + 6 x - 7}{2 x^{3} + 2 x^{2} - 4 x} \cdot \frac{4}{x + 7} \cdot \frac{x^{3} - 4 x}{6 x^{2} - 12 x}$
31114	Divide	( square root of 35)÷( square root of 7)	$\sqrt{35} \div \sqrt{7}$
31115	Find dy/dx	-4x^2+3-y+x=y^3	$- 4 x^{2} + 3 - y + x = y^{3}$
31116	Convert to a Decimal	32deg	$32$ degrees
31117	Subtract	(5x+3)/6-(-6x+9)/6	$\frac{5 x + 3}{6} - \frac{- 6 x + 9}{6}$
31118	Find the GCF	24 and 40	$24$ and $40$
31119	Simplify	(4j)^3(-j^-2k^2)(3j^5k^-7)^3	${(4 j)}^{3} (- j^{- 2} k^{2}) {(3 j^{5} k^{- 7})}^{3}$
31120	Solve the Inequality for x	-3x-2x<5	$- 3 x - 2 x < 5$
31121	Evaluate Using L'Hospital's Rule	limit as x approaches -3 of (e^(x+3)-1)/(3 natural log of -5-2x)	$lim_{x \to - 3} \frac{e^{x + 3} - 1}{3 \ln (- 5 - 2 x)}$
31122	Find the Derivative - d/dx	d/(dx)cos(x^3)^2	$\frac{d}{d x} \cos^{2} (x^{3})$
31123	Factor	F(x)=x^3-1	$F (x) = x^{3} - 1$
31124	Find the Antiderivative	6 square root of x- sixth root of x	$6 \sqrt{x} - \sqrt[6]{x}$
31125	Simplify the Radical Expression	2 cube root of 48	$2 \sqrt[3]{48}$
31126	Solve for y	x=(y-1)/2	$x = \frac{y - 1}{2}$
31127	Write in Standard Form	0=x-4	$0 = x - 4$
31128	Subtract	-7x^2-6x+9 and -3x^2-x+7	$- 7 x^{2} - 6 x + 9$ and $- 3 x^{2} - x + 7$
31129	Find the Maximum/Minimum Value	f(x)=3sin(5x-4)	$f (x) = 3 \sin (5 x - 4)$
31130	Find the Local Maxima and Minima	f(x)=3/4x^4-3x^3-81x^2-16	$f (x) = \frac{3}{4} x^{4} - 3 x^{3} - 81 x^{2} - 16$
31131	Solve the Inequality for y	-6(y+2)>2(-3y+12)	$- 6 (y + 2) > 2 (- 3 y + 12)$
31132	Evaluate the Integral	integral from -1 to 5 of [4y-(y^2-5)] with respect to y	$\int_{- 1}^{5} [4 y - (y^{2} - 5)] d y$
31133	Add	1 1/4+1/2	$1 \frac{1}{4} + \frac{1}{2}$
31134	Graph	2x-5y=-10 y=-3/5x+7	$2 x - 5 y = - 10$ $y = - \frac{3}{5} x + 7$
31135	Add	(-n^2+3+2n)+(n^2+5n)	$(- n^{2} + 3 + 2 n) + (n^{2} + 5 n)$
31136	Subtract	-(3z^2+4z)-(6z^2-2)	$- (3 z^{2} + 4 z) - (6 z^{2} - 2)$
31137	Graph	table[[5x^2+6x+12,-(2x^2+x+3)]]	$\begin{array}{c} 5 x^{2} + 6 x + 12 & - (2 x^{2} + x + 3) \end{array}$
31138	Find the Roots (Zeros)	w(t)=-x(x-3)	$w (t) = - x (x - 3)$
31139	Solve the System of Equations	4x-y-8z=5 x-y-8z=-4 x+y+7z=9	$4 x - y - 8 z = 5$ $x - y - 8 z = - 4$ $x + y + 7 z = 9$
31140	Simplify the Radical Expression	6 cube root of -2	$6 \sqrt[3]{- 2}$
31141	Solve the Function Operation	g(x)=-x+3 ; find g(1)	$g (x) = - x + 3$ ; find $g (1)$
31142	Find All Complex Solutions	x-6 = square root of 3x	$x - 6 = \sqrt{3 x}$
31143	Simplify the Radical Expression	sixth root of 9y^14e^4s^12	$\sqrt[6]{9 y^{14} e^{4} s^{12}}$
31144	Evaluate the Limit	limit as x approaches -3 of \|x+3\|-8x	$lim_{x \to - 3} \| x + 3 \| - 8 x$
31145	Solve for r	-1+r>=4	$- 1 + r \geq 4$
31146	Simplify	(x+h)^2+1	${(x + h)}^{2} + 1$
31147	Find the Slope	y/3-2x+4=5	$\frac{y}{3} - 2 x + 4 = 5$
31148	Evaluate	( square root of a square root of b)/( ninth root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[9]{a b}}$
31149	Find the Asymptotes	f(x)=((x+10)(x+6)(x-8))/(-2x^3+7x^2-x-10)	$f (x) = \frac{(x + 10) (x + 6) (x - 8)}{- 2 x^{3} + 7 x^{2} - x - 10}$
31150	Evaluate	(x^6)/(xy^-5y^3)	$\frac{x^{6}}{x y^{- 5} y^{3}}$
31151	Simplify	square root of 36x^3+ square root of 64x^3-x square root of 9xy	$\sqrt{36 x^{3}} + \sqrt{64 x^{3}} - x \sqrt{9 x y}$
31152	Find the Derivative - d/dx	x2/3	$x \frac{2}{3}$
31153	Evaluate	0.5(5-7x)=8-(4x+6)	$0.5 (5 - 7 x) = 8 - (4 x + 6)$
31154	Solve for x	x^2+1=-4x	$x^{2} + 1 = - 4 x$
31155	Graph	x+8y<=50 x<=30 y>=2	$x + 8 y \leq 50$ $x \leq 30$ $y \geq 2$
31156	Solve for x	5-3(2x-7)=2(7-3x)	$5 - 3 (2 x - 7) = 2 (7 - 3 x)$
31157	Find the LCD	1/(6x+6) and 9/(2x)	$\frac{1}{6 x + 6}$ and $\frac{9}{2 x}$
31158	Divide Using Long Polynomial Division	(4x^3+4x^2-3x)÷(2x+1)	$(4 x^{3} + 4 x^{2} - 3 x) \div (2 x + 1)$
31159	Simplify	x/(3/2)	$\frac{x}{\frac{3}{2}}$
31160	Evaluate the Limit	limit as x approaches -3 of (9-7x) square root of 6-4x	$lim_{x \to - 3} (9 - 7 x) \sqrt{6 - 4 x}$
31161	Simplify	7x^6y^4+(x^3y^2)^2	$7 x^{6} y^{4} + {(x^{3} y^{2})}^{2}$
31162	Solve for x	(7x+6)^(1/2)-(9+4x)^(1/2)=0	${(7 x + 6)}^{\frac{1}{2}} - {(9 + 4 x)}^{\frac{1}{2}} = 0$
31163	Multiply	(a-2)(4a^3-3a^2)	$(a - 2) (4 a^{3} - 3 a^{2})$
31164	Find the Complex Conjugate	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
31165	Evaluate the Limit	limit as x approaches infinity of (10x^3+x^2-1)/(2x^3+7x-8)	$lim_{x \to \infty} \frac{10 x^{3} + x^{2} - 1}{2 x^{3} + 7 x - 8}$
31166	Find the Exact Value	( square root of 2)/2*1/2	$\frac{\sqrt{2}}{2} \cdot \frac{1}{2}$
31167	Find All Complex Solutions	x^3+x=0	$x^{3} + x = 0$
31168	Solve the System of Inequalities	3x+4y<28 x-2y<=0	$3 x + 4 y < 28$ $x - 2 y \leq 0$
31169	Simplify	(ab^4*b^2x^4)^(1/2)	${(a b^{4} \cdot b^{2} x^{4})}^{\frac{1}{2}}$
31170	Solve for n	t(n)=24-5n	$t (n) = 24 - 5 n$
31171	Find the Domain and Range	y=2pisec(2x)	$y = 2 π \sec (2 x)$
31172	Evaluate Using L'Hospital's Rule	limit as x approaches 3 of (4 natural log of 3x-8)/(2e^(2x-6)-2)	$lim_{x \to 3} \frac{4 \ln (3 x - 8)}{2 e^{2 x - 6} - 2}$
31173	Find the Exact Value	\|3+9i\|	$\| 3 + 9 i \|$
31174	Solve for x	( cube root of 6)^(2x)=( square root of 6)^(x+6)	${(\sqrt[3]{6})}^{2 x} = {(\sqrt{6})}^{x + 6}$
31175	Solve for x	3xy-2x+4y=100	$3 x y - 2 x + 4 y = 100$
31176	Solve for x	cube root of 4x^2-4x=x	$\sqrt[3]{4 x^{2} - 4 x} = x$
31177	Find the LCD	3/(2x) and 4/(3x+1)	$\frac{3}{2 x}$ and $\frac{4}{3 x + 1}$
31178	Solve for x	x=-2+4/5x-3	$x = - 2 + \frac{4}{5} x - 3$
31179	Find the Domain and Range	x+1/x	$x + \frac{1}{x}$
31180	Simplify	(cos(2x))/(cos(x)^2)	$\frac{\cos (2 x)}{\cos^{2} (x)}$
31181	Multiply	e^(-x)*e^x	$e^{- x} \cdot e^{x}$
31182	Find dx/dy	y^3x^5=e^(3x)	$y^{3} x^{5} = e^{3 x}$
31183	Find the Domain and Range	y=2(2^x-1)	$y = 2 (2^{x} - 1)$
31184	Evaluate	sin(theta)-sin(theta)cos(theta)^2	$\sin (θ) - \sin (θ) \cos^{2} (θ)$
31185	Simplify	7b(4c-b)+4c(c-7b)	$7 b (4 c - b) + 4 c (c - 7 b)$
31186	Simplify	9x+6-4x-2x+1-15	$9 x + 6 - 4 x - 2 x + 1 - 15$
31187	Solve for x	log base 3 of x^2+2x = log base 3 of x+2	$\log_{3} (x^{2} + 2 x) = \log_{3} (x + 2)$
31188	Factor by Grouping	(3m-2)^2-m^2	${(3 m - 2)}^{2} - m^{2}$
31189	Find the Asymptotes	f(x)=(x^3+4x^2-21x)/(x^2+4x-21)	$f (x) = \frac{x^{3} + 4 x^{2} - 21 x}{x^{2} + 4 x - 21}$
31190	Solve the System of Equations	3x+2y+z=20 x-4y-z=-10 2x+y+2z=15	$3 x + 2 y + z = 20$ $x - 4 y - z = - 10$ $2 x + y + 2 z = 15$
31191	Evaluate the Limit	limit as x approaches 1/2 of x	$lim_{x \to \frac{1}{2}} x$
31192	Solve by Completing the Square	7+2x-x^2=0	$7 + 2 x - x^{2} = 0$
31193	Solve for x	(3x)/2-2/(x-2)=x	$\frac{3 x}{2} - \frac{2}{x - 2} = x$
31194	Factor	x^3-2x^2y+xy^2-2y^3	$x^{3} - 2 x^{2} y + x y^{2} - 2 y^{3}$
31195	Simplify	x^6y^4(x^4-16)-9(x^4-16)	$x^{6} y^{4} (x^{4} - 16) - 9 (x^{4} - 16)$
31196	Rationalize the Denominator	-8/(-8+ square root of 10)	$\frac{- 8}{- 8 + \sqrt{10}}$
31197	Find the Derivative - d/dt	natural log of 2e^t-1	$\ln (2 e^{t} - 1)$
31198	Solve using Gaussian Elimination	x+3y+6z=20 2x-3y+3z=4	$x + 3 y + 6 z = 20$ $2 x - 3 y + 3 z = 4$
31199	Convert to Radical Form	-2(xy)^(1/2)	$- 2 {(x y)}^{\frac{1}{2}}$
31200	Multiply	(3x^2+x-5)(2x^2+x+3)	$(3 x^{2} + x - 5) (2 x^{2} + x + 3)$