Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
47201	Find dy/dx	y^4=3xy-5	$y^{4} = 3 x y - 5$
47202	Find the GCF	6x^2+x	$6 x^{2} + x$
47203	Find All Complex Solutions	3+2y = square root of -y	$3 + 2 y = \sqrt{- y}$
47204	Find the Product	-a2b2c*2(a+b-c)	$- a \cdot 2 b \cdot 2 c \cdot 2 (a + b - c)$
47205	Find the Domain	h(z)=z^8+z^-8	$h (z) = z^{8} + z^{- 8}$
47206	Find the Center and Radius	x^2+y^2	$x^{2} + y^{2}$
47207	Simplify	(y*y^(1/4))^(4/3)	${(y \cdot y^{\frac{1}{4}})}^{\frac{4}{3}}$
47208	Solve the Inequality for x	(3x)/2-2>7	$\frac{3 x}{2} - 2 > 7$
47209	Evaluate the Integral	integral from 2 to 3 of 1/(x^2-4x) with respect to x	$\int_{2}^{3} \frac{1}{x^{2} - 4 x} d x$
47210	Simplify	s-4-(s^2-2)-8s	$s - 4 - (s^{2} - 2) - 8 s$
47211	Find the Holes in the Graph	(2x-20)/(2x^2+9x-35)	$\frac{2 x - 20}{2 x^{2} + 9 x - 35}$
47212	Find the Domain and Range	(2x^2-8x-24)/(x^2-36)	$\frac{2 x^{2} - 8 x - 24}{x^{2} - 36}$
47213	Evaluate	3+2y = square root of -y	$3 + 2 y = \sqrt{- y}$
47214	Write Using Positive Exponents	x^2y^-4*x^3y^2	$x^{2} y^{- 4} \cdot x^{3} y^{2}$
47215	Solve the System of Inequalities	y>x+3 y<=-2x-6	$y > x + 3$ $y \leq - 2 x - 6$
47216	Divide Using Long Polynomial Division	(x^3+250x^2+100x)÷(1/2x^2+25x+9)	$(x^{3} + 250 x^{2} + 100 x) \div (\frac{1}{2} x^{2} + 25 x + 9)$
47217	Evaluate the Summation	7 sum from t=4 to 9 of t^2-7t	$7 \sum_{t = 4}^{9} t^{2} - 7 t$
47218	Convert to Interval Notation	7-n>=-6 and 2(3n+8)>=10	$7 - n \geq - 6$ and $2 (3 n + 8) \geq 10$
47219	Solve for p	11/6=1/3+p	$\frac{11}{6} = \frac{1}{3} + p$
47220	Simplify/Condense	(tan(x))/(csc(x)^2)+(tan(x))/(sec(x)^2)	$\frac{\tan (x)}{\csc^{2} (x)} + \frac{\tan (x)}{\sec^{2} (x)}$
47221	Find the Antiderivative	x log of x	$x \log (x)$
47222	Simplify	fifth root of (a^2)/(x^3)	$\sqrt[5]{\frac{a^{2}}{x^{3}}}$
47223	Simplify	Simplify n-(1-(n-(1-n)-1))	Simplify $n - (1 - (n - (1 - n) - 1))$
47224	Subtract	3/(x+7)-42/(x^2-49)	$\frac{3}{x + 7} - \frac{42}{x^{2} - 49}$
47225	Evaluate	xy^-5	$x y^{- 5}$
47226	Solve for x	log base x of 4+ log base x of 2=1	$\log_{x} (4) + \log_{x} (2) = 1$
47227	Simplify	3/8x-3/4x	$\frac{3}{8} x - \frac{3}{4} x$
47228	Find the Derivative - d/dx	( square root of 1+2x-1)/x	$\frac{\sqrt{1 + 2 x} - 1}{x}$
47229	Simplify	(x^-3y^-4*x^2y^3)/((y^3)^-4)	$\frac{x^{- 3} y^{- 4} \cdot x^{2} y^{3}}{{(y^{3})}^{- 4}}$
47230	Simplify	(3(r+s)^3)/((r+s)^-2)	$\frac{3 {(r + s)}^{3}}{{(r + s)}^{- 2}}$
47231	Find the Roots (Zeros)	x^3-x=3x^2+1	$x^{3} - x = 3 x^{2} + 1$
47232	Find the Product	2x(3-x+5x^2)	$2 x (3 - x + 5 x^{2})$
47233	Find the Domain	f(x) = square root of 3/(2x-18)	$f (x) = \sqrt{\frac{3}{2 x - 18}}$
47234	Simplify	(10z^(1/3))/(2z^2)	$\frac{10 z^{\frac{1}{3}}}{2 z^{2}}$
47235	Simplify	3xz+(5x+3z)(7x-2xz+y-4z)	$3 x z + (5 x + 3 z) (7 x - 2 x z + y - 4 z)$
47236	Simplify	(4x^(2/3))/(4x^(2/3))	$\frac{4 x^{\frac{2}{3}}}{4 x^{\frac{2}{3}}}$
47237	Evaluate	pi(6)^2(12)	$π {(6)}^{2} (12)$
47238	Simplify	((8y-4)/7)(14/(10y-5))	$(\frac{8 y - 4}{7}) (\frac{14}{10 y - 5})$
47239	Simplify	(2wy+3yx-8wz-12zx)/(y^2-16z^2)*(y^3+64z^3)/(6w^2+13wx+6x^2)	$\frac{2 w y + 3 y x - 8 w z - 12 z x}{y^{2} - 16 z^{2}} \cdot \frac{y^{3} + 64 z^{3}}{6 w^{2} + 13 w x + 6 x^{2}}$
47240	Simplify	(-2x^4-3x^5+12)-(-12x-7+6x^5)	$(- 2 x^{4} - 3 x^{5} + 12) - (- 12 x - 7 + 6 x^{5})$
47241	Multiply	(x+3)/(x+2)*(2x-4)/(x^2-9)	$\frac{x + 3}{x + 2} \cdot \frac{2 x - 4}{x^{2} - 9}$
47242	Evaluate	5*(8+6-2)	$5 \times (8 + 6 - 2)$
47243	Solve for d	Solve the following equation: 1/4d=2 1/8	Solve the following equation: $\frac{1}{4} d = 2 \frac{1}{8}$
47244	Solve for a	2(a-8)>=-2a	$2 (a - 8) \geq - 2 a$
47245	Write in Standard Form	(-b^7)(7b^4)	$(- b^{7}) (7 b^{4})$
47246	Solve for p	5/6(12p-6)=-3/4(-12p+24)	$\frac{5}{6} (12 p - 6) = \frac{- 3}{4} (- 12 p + 24)$
47247	Solve for u	19u-4u+23=8u-19	$19 u - 4 u + 23 = 8 u - 19$
47248	Simplify	7x^2y^10z^5*12x^5y^0z	$7 x^{2} y^{10} z^{5} \cdot 12 x^{5} y^{0} z$
47249	Simplify	-7y^2-2y^2+y^3-3y-2y+5y^3-2y	$- 7 y^{2} - 2 y^{2} + y^{3} - 3 y - 2 y + 5 y^{3} - 2 y$
47250	Solve for f	(7-3f)/4=2	$\frac{7 - 3 f}{4} = 2$
47251	Solve for p	(4p+3)/8=(p+2)/4	$\frac{4 p + 3}{8} = \frac{p + 2}{4}$
47252	Find the Slope and y-intercept	-2y=6(5-3x)	$- 2 y = 6 (5 - 3 x)$
47253	Find the Product	(x^4+3y^3)(x^4-5y^3)	$(x^{4} + 3 y^{3}) (x^{4} - 5 y^{3})$
47254	Find the Antiderivative	5/x+ square root of x^3	$\frac{5}{x} + \sqrt{x^{3}}$
47255	Simplify	(3^2m^4t^8)/(3^4m^9t^-4)	$\frac{3^{2} m^{4} t^{8}}{3^{4} m^{9} t^{- 4}}$
47256	Find the Roots (Zeros)	5x^4-40x^3+75x^2	$5 x^{4} - 40 x^{3} + 75 x^{2}$
47257	Write as a Single Logarithm	3 log base 5 of x-1/2 log base 5 of 6-x	$3 \log_{5} (x) - \frac{1}{2} \log_{5} (6 - x)$
47258	Find the Slope and y-intercept	y=11+2/3x	$y = 11 + \frac{2}{3} x$
47259	Solve the System of Equations	y=2x^2+6x-1 y=2x+5	$y = 2 x^{2} + 6 x - 1$ $y = 2 x + 5$
47260	Convert from Radians to Degrees	pi/8 radianes	$\frac{π}{8}$ radianes
47261	Simplify	( square root of 5+ square root of 2)/( square root of 5- square root of 8)	$\frac{\sqrt{5} + \sqrt{2}}{\sqrt{5} - \sqrt{8}}$
47262	Evaluate	(1^1)/2	$\frac{1^{1}}{2}$
47263	Simplify	( square root of 8x)/( cube root of 16x^2)	$\frac{\sqrt{8 x}}{\sqrt[3]{16 x^{2}}}$
47264	Evaluate	3^4x(3/(x^2))^-2	$3^{4} \cdot x \cdot {(\frac{3}{x^{2}})}^{- 2}$
47265	Find the Product	x(2x^2+3x)	$x (2 x^{2} + 3 x)$
47266	Simplify	1/2d-3/4d+3f-2f	$\frac{1}{2} d - \frac{3}{4} d + 3 f - 2 f$
47267	Determine if Parallel	y=-5x+3 and y=-5x-4	$y = - 5 x + 3$ and $y = - 5 x - 4$
47268	Solve for x	-10 log base 2 of x+8=-12	$- 10 \log_{2} (x) + 8 = - 12$
47269	Evaluate the Limit	limit as x approaches -1 of (1- square root of x^2+2x+2)/(1+x)	$lim_{x \to - 1} \frac{1 - \sqrt{x^{2} + 2 x + 2}}{1 + x}$
47270	Graph	y=1/2(2^x-8)	$y = \frac{1}{2} (2^{x} - 8)$
47271	Expand Using Sum/Difference Formulas	tan(90 degrees -theta)	$\tan (90 ° - θ)$
47272	Solve for θ in Degrees	tan(theta)=(- square root of 3)/3	$\tan (θ) = \frac{- \sqrt{3}}{3}$
47273	Write in Exponential Form	( fourth root of 5^3)^(1/2)	${(\sqrt[4]{5^{3}})}^{\frac{1}{2}}$
47274	Simplify	-3y+7y+4y^3-2y^2+6y^3-7y^3-5y	$- 3 y + 7 y + 4 y^{3} - 2 y^{2} + 6 y^{3} - 7 y^{3} - 5 y$
47275	Solve the Inequality for x	(2x+3)(x-1)>=0	$(2 x + 3) (x - 1) \geq 0$
47276	Find the Direction Angle of the Vector	3i-4j	$3 i - 4 j$
47277	Evaluate the Limit	limit as n approaches infinity of (4n^2)/(n^2+10000n)	$lim_{n \to \infty} \frac{4 n^{2}}{n^{2} + 10000 n}$
47278	Simplify	e^(-2x)e^xe^(6x+2)	$e^{- 2 x} \cdot e^{x} \cdot e^{6 x + 2}$
47279	Find the Maximum/Minimum Value	y=1/3x^3+x^2-3x-8	$y = \frac{1}{3} x^{3} + x^{2} - 3 x - 8$
47280	Simplify	11(9+ square root of 6)	$11 (9 + \sqrt{6})$
47281	Write in Slope-Intercept Form	(-3,7) and (6,-8)	$(- 3, 7)$ and $(6, - 8)$
47282	Solve for x	(3x+6)/2-(7x-14)/3-(x+1)/9=0	$\frac{(3 x + 6)}{2} - \frac{(7 x - 14)}{3} - \frac{(x + 1)}{9} = 0$
47283	Graph	y=(x+4)(x+1)(2-x)(x-3)	$y = (x + 4) (x + 1) (2 - x) (x - 3)$
47284	Find the Domain and Range	F(x)=-2e^(x+3)+2	$F (x) = - 2 e^{x + 3} + 2$
47285	Solve by Graphing	1/2x^5=1/5x^2-2	$\frac{1}{2} x^{5} = \frac{1}{5} x^{2} - 2$
47286	Solve for m	m+8=3m	$m + 8 = 3 m$
47287	Divide Using Long Polynomial Division	(x^4+x^3+5x^2-10x+10)/(x^2+2x+1)	$\frac{x^{4} + x^{3} + 5 x^{2} - 10 x + 10}{x^{2} + 2 x + 1}$
47288	Find the GCF	12 and 44	$12$ and $44$
47289	Divide	(6x^2y^4-12x^4y^2)/(3x)	$\frac{6 x^{2} y^{4} - 12 x^{4} y^{2}}{3 x}$
47290	Write in Slope-Intercept Form	y+2=0	$y + 2 = 0$
47291	Find dy/dx	y=(2x^2-1)/(5x+2)	$y = \frac{2 x^{2} - 1}{5 x + 2}$
47292	Solve the Inequality for k	-2(k-1)>8(1+k)	$- 2 (k - 1) > 8 (1 + k)$
47293	Find the Third Derivative	y=x square root of x-1	$y = x \sqrt{x - 1}$
47294	Find the Domain and Range	y^2=x^2	$y^{2} = x^{2}$
47295	Integrate Using u-Substitution	integral of x^2(2x^3-1)^4 with respect to x	$\int x^{2} {(2 x^{3} - 1)}^{4} d x$
47296	Simplify	(a^2-3ab+b^2)+(-a^2+ab+b^2)	$(a^{2} - 3 a b + b^{2}) + (- a^{2} + a b + b^{2})$
47297	Graph	1/2x-2/3>3	$\frac{1}{2} x - \frac{2}{3} > 3$
47298	Simplify	(4^3*4^4)/(4^9)	$\frac{4^{3} \cdot 4^{4}}{4^{9}}$
47299	Find the GCF	8ab-56a	$8 a b - 56 a$
47300	Evaluate	5x( cube root of x^2y)+2( cube root of x^5y)	$5 x (\sqrt[3]{x^{2} y}) + 2 (\sqrt[3]{x^{5} y})$