Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
37201	Solve the Inequality for x	2x+14-5x<-2x+8	$2 x + 14 - 5 x < - 2 x + 8$
37202	Evaluate	natural log of e square root of 6	$\ln (e \sqrt{6})$
37203	Find the Asymptotes	y=csc(x/2-pi/3)	$y = \csc (\frac{x}{2} - \frac{π}{3})$
37204	Find the Domain and Range	x=2^y	$x = 2^{y}$
37205	Solve the Function Operation	f(x)=((x-9)^(1/3))/5 ; find f^-1(x)	$f (x) = \frac{{(x - 9)}^{\frac{1}{3}}}{5}$ ; find $f^{- 1} (x)$
37206	Solve by Graphing	y=-1/3x+2 y+4=-4/3x	$y = - \frac{1}{3} x + 2$ $y + 4 = - \frac{4}{3} x$
37207	Convert to Radical Form	(7^14)÷(7^2)	$7^{14} \div 7^{2}$
37208	Simplify the Radical Expression	( fifth root of a^4)/( cube root of a^2)	$\frac{\sqrt[5]{a^{4}}}{\sqrt[3]{a^{2}}}$
37209	Evaluate	(x^2+y)(x+y^2)	$(x^{2} + y) (x + y^{2})$
37210	Solve the Inequality for x	3(2-3x)>5(1-4x)	$3 (2 - 3 x) > 5 (1 - 4 x)$
37211	Solve for x	12x^2-26x-7=3x+1	$12 x^{2} - 26 x - 7 = 3 x + 1$
37212	Find the Domain	natural log of \|x+1\|	$\ln (\| x + 1 \|)$
37213	Find the Derivative - d/dx	(-10+9x^-3+x^2)(7-10x^2)	$(- 10 + 9 x^{- 3} + x^{2}) (7 - 10 x^{2})$
37214	Multiply	(4t+4)/(t-3)*(t^2-t-6)	$\frac{4 t + 4}{t - 3} \cdot (t^{2} - t - 6)$
37215	Graph	3x+2y>4 or x>2	$3 x + 2 y > 4$ or $x > 2$
37216	Graph	-x^2+y=8	$- x^{2} + y = 8$
37217	Solve for x	3 1/4x=1/2	$3 \frac{1}{4} x = \frac{1}{2}$
37218	Divide	x^3+7x^2+7x-15 , x+5	$x^{3} + 7 x^{2} + 7 x - 15$ , $x + 5$
37219	Find the Derivative of the Integral	h(x) = integral from -2 to sin(x) of (cos(t^4)+t) with respect to t	$h (x) = \int_{- 2}^{\sin (x)} (\cos (t^{4}) + t) d t$
37220	Find the Derivative - d/dx	3^(4-11x)	$3^{4 - 11 x}$
37221	Find the Exact Value	-arccos(cos(pi))	$- \arccos (\cos (π))$
37222	Find All Complex Solutions	(sin(x))(cos(x))=0	$(\sin (x)) (\cos (x)) = 0$
37223	Find the Vertex Form	x^2-2x+25=y	$x^{2} - 2 x + 25 = y$
37224	Simplify	1 2/3-(-5 2/3)	$1 \frac{2}{3} - (- 5 \frac{2}{3})$
37225	Simplify	(4x^3-x^2+5x-4)+(5x-10)	$(4 x^{3} - x^{2} + 5 x - 4) + (5 x - 10)$
37226	Find the Slope	What is the slope of the line through (-9,6) and (-6,-9) ?	What is the slope of the line through $(- 9, 6)$ and $(- 6, - 9)$ ?
37227	Convert to Interval Notation	7m+6m>=8m-15	$7 m + 6 m \geq 8 m - 15$
37228	Simplify	((x-5)/(x^2))/((2x-10)/(3x^4))	$\frac{\frac{x - 5}{x^{2}}}{\frac{2 x - 10}{3 x^{4}}}$
37229	Solve for y	-y+28+y^2=2y+2y^2	$- y + 28 + y^{2} = 2 y + 2 y^{2}$
37230	Find the Exact Value	92+2+25^2	$9 \cdot 2 + 2 + 2 \cdot 5^{2}$
37231	Simplify	1/(2tan(x)(cos(x)^2))	$\frac{1}{2 \tan (x) (\cos^{2} (x))}$
37232	Convert to Radical Form	(10^3)1/3	$(10^{3}) \frac{1}{3}$
37233	Find the Derivative - d/dx	(1-2x)/(x^2)	$\frac{1 - 2 x}{x^{2}}$
37234	Find the Antiderivative	f(x)=3/x+4/(x^2)-5/(sin(x)^2)	$f (x) = \frac{3}{x} + \frac{4}{x^{2}} - \frac{5}{\sin^{2} (x)}$
37235	Solve the Function Operation	Given that f(x)=x^2+5x-14 and g(x)=x-2 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 5 x - 14$ and $g (x) = x - 2$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
37236	Simplify	1/(-2 square root of 2)	$\frac{1}{- 2 \sqrt{2}}$
37237	Simplify	(2y^2+7y+3)/(y^3-1)-(1-2y)/(y^2+y+1)-3/(y-1)	$\frac{(2 y^{2} + 7 y + 3)}{y^{3} - 1} - \frac{(1 - 2 y)}{y^{2} + y + 1} - \frac{3}{y - 1}$
37238	Evaluate the Integral	integral of (2x^5+x-6x^3) with respect to x	$\int (2 x^{5} + x - 6 x^{3}) d x$
37239	Solve for x	arctan(3x^2)=pi/4	$\arctan (3 x^{2}) = \frac{π}{4}$
37240	Solve for x	s(x)=102	$s (x) = 102$
37241	Find the Domain and Range	y=9cot(2x-pi/2)-3	$y = 9 \cot (2 x - \frac{π}{2}) - 3$
37242	Write Using Negative Exponents	1/((xy)^1)	$\frac{1}{{(x y)}^{1}}$
37243	Solve for x	-(6x+6)+2=-6x-3	$- (6 x + 6) + 2 = - 6 x - 3$
37244	Convert to a Decimal	sin(480)deg	$\sin (480)$ degrees
37245	Evaluate the Function	f(x)=-x^3+2x^2-3 at x=-1	$f (x) = - x^{3} + 2 x^{2} - 3$ at $x = - 1$
37246	Find the Antiderivative	square root of x* natural log of x	$\sqrt{x} \cdot \ln (x)$
37247	Evaluate	90% of 20	$90 %$ of $20$
37248	Find the LCD	(10x)/(x-3) and (4x)/(x-2)	$\frac{10 x}{x - 3}$ and $\frac{4 x}{x - 2}$
37249	Find the Degree	2ab^3-5b	$2 a b^{3} - 5 b$
37250	Find the Domain	f(x)=x+9+ square root of 2-7x	$f (x) = x + 9 + \sqrt{2 - 7 x}$
37251	Evaluate the Limit	limit as x approaches -2 of (2/(x-8)+x/(3x-4))/(x/(2x-16)+1/(3x-4))	$lim_{x \to - 2} \frac{\frac{2}{x - 8} + \frac{x}{3 x - 4}}{\frac{x}{2 x - 16} + \frac{1}{3 x - 4}}$
37252	Factor	6x^3-9x-x^5	$6 x^{3} - 9 x - x^{5}$
37253	Solve the System of Equations	x^2+y^2=25 x^2=5-y	$x^{2} + y^{2} = 25$ $x^{2} = 5 - y$
37254	Simplify	x/(x^2-4)+1/x	$\frac{x}{x^{2} - 4} + \frac{1}{x}$
37255	Solve the Inequality for u	8u<=35	$8 u \leq 35$
37256	Solve for b	-196=-4-3b^2	$- 196 = - 4 - 3 b^{2}$
37257	Solve the System of Equations	1/2(2x+y)=21/2 y=2x	$\frac{1}{2} (2 x + y) = \frac{21}{2}$ $y = 2 x$
37258	Find the GCF	28p^4 and 44p^2q	$28 p^{4}$ and $44 p^{2} q$
37259	Solve the System of Equations	2y-x=0 x=y+7	$2 y - x = 0$ $x = y + 7$
37260	Solve for x	(x^2-x-12)/(x+5)>=0	$\frac{x^{2} - x - 12}{x + 5} \geq 0$
37261	Expand Using Sum/Difference Formulas	sin(pi/4-B)	$\sin (\frac{π}{4} - B)$
37262	Graph	y>=0 y<=1/2x+2 y<-1/2x+2	$y \geq 0$ $y \leq \frac{1}{2} x + 2$ $y < - \frac{1}{2} x + 2$
37263	Describe the Transformation	y=2 cube root of x	$y = 2 \sqrt[3]{x}$
37264	Graph	y>-x^2+x+6	$y > - x^{2} + x + 6$
37265	Evaluate	square root of 25-3x=x-9	$\sqrt{25 - 3 x} = x - 9$
37266	Solve for a	(6y^2)^2(2y^3)^-1=ay^b	${(6 y^{2})}^{2} {(2 y^{3})}^{- 1} = a y^{b}$
37267	Simplify	m^(5/2) square root of 324	$m^{\frac{5}{2}} \sqrt{324}$
37268	Simplify	9/((3d)^-3)	$\frac{9}{{(3 d)}^{- 3}}$
37269	Simplify	8(x-y)+5(x-5y)+6y	$8 (x - y) + 5 (x - 5 y) + 6 y$
37270	Solve the System of Equations	x^2+y^2=1 y=2x+2	$x^{2} + y^{2} = 1$ $y = 2 x + 2$
37271	Solve for b	square root of b=35	$\sqrt{b} = 35$
37272	Solve for a	3a^3-10=-7	$3 a^{3} - 10 = - 7$
37273	Solve for x	2(x^2-4x)-5=2x^2-6x+9	$2 (x^{2} - 4 x) - 5 = 2 x^{2} - 6 x + 9$
37274	Evaluate the Integral	integral from 0 to 1 of (2x+1)e^(x^2+x) with respect to x	$\int_{0}^{1} (2 x + 1) e^{x^{2} + x} d x$
37275	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^x-x)^(1/(tan(x)))	$lim_{x \to 0} {(e^{x} - x)}^{\frac{1}{\tan (x)}}$
37276	Find the Slope	(8,4) and (6,10)	$(8, 4)$ and $(6, 10)$
37277	Solve for θ	cos(theta)<0	$\cos (θ) < 0$
37278	Solve for x	-9=3x^2-8x-20	$- 9 = 3 x^{2} - 8 x - 20$
37279	Simplify	(x^2y)/(y^-2)	$\frac{x^{2} y}{y^{- 2}}$
37280	Simplify	2 cube root of x^2* square root of 16x	$2 \sqrt[3]{x^{2}} \cdot \sqrt{16 x}$
37281	Solve for t	4(9+3t)-12=-6	$4 (9 + 3 t) - 12 = - 6$
37282	Find the Domain and Range	y=cos(x/2)	$y = \cos (\frac{x}{2})$
37283	Find the Derivative - d/dx	1/3pix^2y	$\frac{1}{3} π x^{2} y$
37284	Find the Derivative - d/dx	natural log of x^2+y^2+1	$\ln (x^{2} + y^{2} + 1)$
37285	Find the Slope	(a,1/b) , (b,1/a)	$(a, \frac{1}{b})$ , $(b, \frac{1}{a})$
37286	Solve for c	5c-5=-5c-7	$5 c - 5 = - 5 c - 7$
37287	Rationalize the Denominator	( square root of 6)/(5+ square root of 3)	$\frac{\sqrt{6}}{5 + \sqrt{3}}$
37288	Find the Antiderivative	f(x)=5 fourth root of x-3/x	$f (x) = 5 \sqrt[4]{x} - \frac{3}{x}$
37289	Simplify	-1/2(1/4x-3/8)	$- \frac{1}{2} (\frac{1}{4} x - \frac{3}{8})$
37290	Solve for x	16=x^4	$16 = x^{4}$
37291	Describe the Transformation	y=-2+ cube root of x	$y = - 2 + \sqrt[3]{x}$
37292	Find the Second Derivative	( square root of x)/(1+ square root of x)	$\frac{\sqrt{x}}{1 + \sqrt{x}}$
37293	Simplify the Radical Expression	(12x^(7/2))/(3x^2)	$\frac{12 x^{\frac{7}{2}}}{3 x^{2}}$
37294	Find the Asymptotes	y=(x^2+x-6)/(3x^2-12)	$y = \frac{x^{2} + x - 6}{3 x^{2} - 12}$
37295	Combine Like Terms	8+3a+7b-5+2a-7b	$8 + 3 a + 7 b - 5 + 2 a - 7 b$
37296	Divide	x/-1	$\frac{x}{- 1}$
37297	Divide	-x/-1	$- \frac{x}{- 1}$
37298	Simplify	(((x^-8)^(1/4))^-1 cube root of x^2)/( sixth root of x^4)	$\frac{{({(x^{- 8})}^{\frac{1}{4}})}^{- 1} \sqrt[3]{x^{2}}}{\sqrt[6]{x^{4}}}$
37299	Evaluate the Integral	integral of (4(x^3+3))/((x^4+12x)^3) with respect to x	$\int \frac{4 (x^{3} + 3)}{{(x^{4} + 12 x)}^{3}} d x$
37300	Solve the Rational Equation for x	square root of 3x-5 = square root of 2x+25	$\sqrt{3 x - 5} = \sqrt{2 x + 25}$