Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
30401	Evaluate the Integral	integral of (x^3+x) square root of x^4+2x^2 with respect to x	$\int (x^{3} + x) \sqrt{x^{4} + 2 x^{2}} d x$
30402	Simplify	(a-3b)/(a^2-3ab)	$\frac{a - 3 b}{a^{2} - 3 a b}$
30403	Simplify	(ab)/( square root of c)	$\frac{a b}{\sqrt{c}}$
30404	Find Where Increasing/Decreasing	y=(0.9)^(t-4)	$y = {(0.9)}^{t - 4}$
30405	Find the Product	(100-x)(100+x)	$(100 - x) (100 + x)$
30406	Find Where Increasing/Decreasing	f(x)=3e^(x-1)+4	$f (x) = 3 e^{x - 1} + 4$
30407	Rationalize the Denominator	( fourth root of 2x)/( fourth root of 3x^2)	$\frac{\sqrt[4]{2 x}}{\sqrt[4]{3 x^{2}}}$
30408	Solve the System of Equations	y=-2x+5 y=-x^2-5x-2	$y = - 2 x + 5$ $y = - x^{2} - 5 x - 2$
30409	Simplify	2 square root of x5 square root of 6x square root of 2x	$2 \sqrt{x} \cdot 5 \sqrt{6 x} \cdot \sqrt{2 x}$
30410	Solve the Inequality for x	2x^3-18x<x^2-9	$2 x^{3} - 18 x < x^{2} - 9$
30411	Solve the System of Equations	x+7y=5 and -3x-8y=11	$x + 7 y = 5$ and $- 3 x - 8 y = 11$
30412	Solve for w	w(7w-10)+4=0	$w (7 w - 10) + 4 = 0$
30413	Solve the Inequality for x	7/(x+5)<=8/(x+6)	$\frac{7}{x + 5} \leq \frac{8}{x + 6}$
30414	Graph	tan(1x)^(-)	${\tan (1 x)}^{-}$
30415	Simplify	(x+6)/(5x+10)-(x-2)/(4x+8)	$\frac{x + 6}{5 x + 10} - \frac{x - 2}{4 x + 8}$
30416	Verify the Identity	(tan(x))/(1-tan(x)^2)=(sin(x)cos(x))/(2cos(x)^2-1)	$\frac{\tan (x)}{1 - \tan^{2} (x)} = \frac{\sin (x) \cos (x)}{2 \cos^{2} (x) - 1}$
30417	Divide	(3x^2+12x-5)÷x+5	$(3 x^{2} + 12 x - 5) \div x + 5$
30418	Find the Inverse	f(x)=1/2 cube root of x-3+5	$f (x) = \frac{1}{2} \sqrt[3]{x - 3} + 5$
30419	Subtract	(z^2+3z)-(3z^2+7z+16)-(4z-13)	$(z^{2} + 3 z) - (3 z^{2} + 7 z + 16) - (4 z - 13)$
30420	Divide Using Long Polynomial Division	(3x^4-4x^3+1)÷(3x^3-x^2-x-1)	$(3 x^{4} - 4 x^{3} + 1) \div (3 x^{3} - x^{2} - x - 1)$
30421	Simplify the Radical Expression	cube root of (27x^3)^4	$\sqrt[3]{{(27 x^{3})}^{4}}$
30422	Write the Fraction in Simplest Form	((2p^3k^-3)^-5)/(10k^-6)	$\frac{{(2 p^{3} k^{- 3})}^{- 5}}{10 k^{- 6}}$
30423	Evaluate the Integral	integral of 1/x+1/(x^2) with respect to x	$\int \frac{1}{x} + \frac{1}{x^{2}} d x$
30424	Simplify	square root of 15b^3 square root of 30b^6	$\sqrt{15 b^{3}} \sqrt{30 b^{6}}$
30425	Evaluate	(g-3)*6	$(g - 3) \cdot 6$
30426	Evaluate the Integral	integral of (3x^4-4+x^-2) with respect to x	$\int (3 x^{4} - 4 + x^{- 2}) d x$
30427	Combine Like Terms	2/3x-7y+1/3x+2y+5	$\frac{2}{3} x - 7 y + \frac{1}{3} x + 2 y + 5$
30428	Solve the Inequality for x	15>x	$15 > x$
30429	Multiply	3^(5x)*81^(1-x)	$3^{5 x} \cdot 81^{1 - x}$
30430	Evaluate	6(-3-(1+4))+2^5	$6 (- 3 - (1 + 4)) + 2^{5}$
30431	Find the Domain	-(c-b)/(a(3a-c))	$- \frac{c - b}{a (3 a - c)}$
30432	Simplify	(6 square root of 45x^3)/(3 square root of 5x)	$\frac{6 \sqrt{45 x^{3}}}{3 \sqrt{5 x}}$
30433	Evaluate	(3-2i)+(7-3i)	$(3 - 2 i) + (7 - 3 i)$
30434	Find the LCD	2/(7x) and x/(x+7)	$\frac{2}{7 x}$ and $\frac{x}{x + 7}$
30435	Evaluate	15 root of x^10b^15	$\sqrt[15]{x^{10} b^{15}}$
30436	Solve for x	5(1-6x)+1=6x	$5 (1 - 6 x) + 1 = 6 x$
30437	Simplify	2/17(8.6-5.2)	$\frac{2}{17} (8.6 - 5.2)$
30438	Solve the Inequality for x	log base 3 of x>4	$\log_{3} (x) > 4$
30439	Solve for x	10=3 square root of 5x-1-2	$10 = 3 \sqrt{5 x - 1} - 2$
30440	Solve for x	x^2-1/4x-15/64=0	$x^{2} - \frac{1}{4} x - \frac{15}{64} = 0$
30441	Simplify	((2a^4b^6c^2)/(6a^-3b^4c^8))^3	${(\frac{2 a^{4} b^{6} c^{2}}{6 a^{- 3} b^{4} c^{8}})}^{3}$
30442	Evaluate	(45(4)^(3/2))/2-(21(4)^(1/2))/2	$\frac{45 {(4)}^{\frac{3}{2}}}{2} - \frac{21 {(4)}^{\frac{1}{2}}}{2}$
30443	Graph	y>1/4x y<=-x+4	$y > \frac{1}{4} x$ $y \leq - x + 4$
30444	Divide	(-4/5)÷(-16/15)	$- \frac{4}{5} \div (- \frac{16}{15})$
30445	Convert to Logarithmic Form	e^x=x	$e^{x} = x$
30446	Simplify	((2w^3x^-6y^4z)/(8w^-5x^4y^-6z^-3))^-4	${(\frac{2 w^{3} x^{- 6} y^{4} z}{8 w^{- 5} x^{4} y^{- 6} z^{- 3}})}^{- 4}$
30447	Graph	x-6y=6 y=-2/3x+4	$x - 6 y = 6$ $y = - \frac{2}{3} x + 4$
30448	Convert to a Percentage	0.3*100%	$0.3 \cdot 100 %$
30449	Evaluate the Limit	limit as x approaches 9 from the right of (x^2-13x+36)/(x-9)	$lim_{x \to 9^{+}} \frac{x^{2} - 13 x + 36}{x - 9}$
30450	Solve for n	-86=4+5(3n-3)	$- 86 = 4 + 5 (3 n - 3)$
30451	Simplify	i^2+i^3+i^4	$i^{2} + i^{3} + i^{4}$
30452	Evaluate Using Scientific Notation	(8.4x10^10)/(3x10^7)	$\frac{8.4 x \cdot 10^{10}}{3 x \cdot 10^{7}}$
30453	Solve by Substitution	x-y=12 27+3y=2x	$x - y = 12$ $27 + 3 y = 2 x$
30454	Simplify	(x^2-2x-8)/(3x^2+9x)*(3x-18)/(x+2)	$\frac{x^{2} - 2 x - 8}{3 x^{2} + 9 x} \cdot \frac{3 x - 18}{x + 2}$
30455	Simplify	(4x^2-1)/(5x-10x^2)	$\frac{4 x^{2} - 1}{5 x - 10 x^{2}}$
30456	Find the Cosecant Given the Point	(-6,6)	$(- 6, 6)$
30457	Find the Critical Points	Let g(x)=(x^2-3)/(x+2)	Let $g (x) = \frac{x^{2} - 3}{x + 2}$
30458	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-4) and has a slope of 5/4 ?	What is the equation of the line that passes through the point $(- 4, - 4)$ and has a slope of $\frac{5}{4}$ ?
30459	Simplify	(4/(x-2)-x/16)/((x^2)/(2x-4)+(x-2)/4)	$\frac{\frac{4}{x - 2} - \frac{x}{16}}{\frac{x^{2}}{2 x - 4} + \frac{x - 2}{4}}$
30460	Find the Domain	(5+2x)/(x^2+x+1)	$\frac{5 + 2 x}{x^{2} + x + 1}$
30461	Find the Other Trig Values in Quadrant IV	cos(theta)=0	$\cos (θ) = 0$
30462	Graph	(2,3) , (7,y) , m=-2/5	$(2, 3)$ , $(7, y)$ , $m = - \frac{2}{5}$
30463	Find the Derivative - d/dx	2/(x^3)+C	$\frac{2}{x^{3}} + C$
30464	Solve for x	-2x+2=(1/3)^x+1	$- 2 x + 2 = {(\frac{1}{3})}^{x} + 1$
30465	Simplify	(v^-3wx^2)/(wy^-6)	$\frac{v^{- 3} w x^{2}}{w y^{- 6}}$
30466	Convert to a Decimal	8rev per s	$8$ revolutions per second
30467	Graph	y>=3x-2 and y<=-4x+2	$y \geq 3 x - 2$ and $y \leq - 4 x + 2$
30468	Find the Coterminal Angle	(-17pi)/3	$\frac{- 17 π}{3}$
30469	Simplify	((3x-1)/(x^(2/3)))/(3x^(-2/3))	$\frac{(\frac{3 x - 1}{x^{\frac{2}{3}}})}{3 x^{- \frac{2}{3}}}$
30470	Simplify	( square root of x^3)/( square root of x)	$\frac{\sqrt{x^{3}}}{\sqrt{x}}$
30471	Simplify	cube root of (8y^3)^4 sixth root of (8y^3)^4	$\sqrt[3]{{(8 y^{3})}^{4}} \sqrt[6]{{(8 y^{3})}^{4}}$
30472	Solve the Inequality for x	x<=(5x+1)/5	$x \leq \frac{5 x + 1}{5}$
30473	Solve for x	(x-4)^2=3x-12	${(x - 4)}^{2} = 3 x - 12$
30474	Simplify	12^0xy^0	$12^{0} x y^{0}$
30475	Divide	( square root of 4)/(2 square root of 20)	$\frac{\sqrt{4}}{2 \sqrt{20}}$
30476	Evaluate the Integral	integral from 0 to 4 of p/( square root of 9+p^2) with respect to p	$\int_{0}^{4} \frac{p}{\sqrt{9 + p^{2}}} d p$
30477	Solve for x	x^2+x=7x+16	$x^{2} + x = 7 x + 16$
30478	Simplify	3 square root of 16-5	$3 \sqrt{16} - 5$
30479	Simplify	(x^2+2xy+y^2)(x-2y)	$(x^{2} + 2 x y + y^{2}) (x - 2 y)$
30480	Find the Derivative - d/dx	-x^(3/2)	$- x^{\frac{3}{2}}$
30481	Simplify	((2x^2)/(4y^3))^-3	${(\frac{2 x^{2}}{4 y^{3}})}^{- 3}$
30482	Find the Antiderivative	(x-1) square root of x	$(x - 1) \sqrt{x}$
30483	Write as a Single Logarithm	10 log of x+2/3 log of 64	$10 \log (x) + \frac{2}{3} \log (64)$
30484	Evaluate	(1+cos(theta))(tan(theta)-1)=0	$(1 + \cos (θ)) (\tan (θ) - 1) = 0$
30485	Evaluate	8(4)^2+51/3	$8 {(4)}^{2} + \frac{51}{3}$
30486	Write in Standard Form	y=(x-9)^2+2x	$y = {(x - 9)}^{2} + 2 x$
30487	Simplify	(3y)/(y^2-17y+72)+12/(y^2-81)-11/(y^2+y-72)	$\frac{3 y}{y^{2} - 17 y + 72} + \frac{12}{y^{2} - 81} - \frac{11}{y^{2} + y - 72}$
30488	Find the Integral	1/( square root of x^2+1)	$\frac{1}{\sqrt{x^{2} + 1}}$
30489	Solve for x in Degrees	tan(x)+ square root of 3=0	$\tan (x) + \sqrt{3} = 0$
30490	Add	2/15+1/5+4/15+1/3	$\frac{2}{15} + \frac{1}{5} + \frac{4}{15} + \frac{1}{3}$
30491	Find the End Behavior	f(x)=(x^2+2)^2+3	$f (x) = {(x^{2} + 2)}^{2} + 3$
30492	Evaluate	(sin(theta))/(cos(theta))+(cos(theta))/(sin(theta))=csc(theta)sec(theta)	$\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)} = \csc (θ) \sec (θ)$
30493	Find All Complex Solutions	3x^(16/5)-192x^2=0	$3 x^{\frac{16}{5}} - 192 x^{2} = 0$
30494	Solve Using the Quadratic Formula	1/2x^2-1/2=3/8x	$\frac{1}{2} x^{2} - \frac{1}{2} = \frac{3}{8} x$
30495	Solve the Inequality for x	86<=-4(1-5x)-2x	$86 \leq - 4 (1 - 5 x) - 2 x$
30496	Simplify	6y+3+3x^2-y^2-5x+2x^2+3x+2y	$6 y + 3 + 3 x^{2} - y^{2} - 5 x + 2 x^{2} + 3 x + 2 y$
30497	Graph	-38<=-4x-6<-26	$- 38 \leq - 4 x - 6 < - 26$
30498	Solve for t	-t-4(2t-5)=20	$- t - 4 (2 t - 5) = 20$
30499	Multiply	(x^3-x^2)(x^2+3x+1)	$(x^{3} - x^{2}) (x^{2} + 3 x + 1)$
30500	Evaluate the Integral	- integral from 298 to 500 of 154.8/(500^2) with respect to x	$- \int_{298}^{500} \frac{154.8}{500^{2}} d x$