Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
27601	Solve for x	(x+4)^2=15-2x^2	${(x + 4)}^{2} = 15 - 2 x^{2}$
27602	Solve for x	7/x+2/9=-5/(3x)	$\frac{7}{x} + \frac{2}{9} = - \frac{5}{3 x}$
27603	Simplify the Radical Expression	fourth root of 11* fourth root of 10	$\sqrt[4]{11} \cdot \sqrt[4]{10}$
27604	Write in Standard Form	(-x^2+2x)-(x^2-2x)	$(- x^{2} + 2 x) - (x^{2} - 2 x)$
27605	Write in Standard Form	y=1/2x^2+6x+17	$y = \frac{1}{2} x^{2} + 6 x + 17$
27606	Simplify	5(8p)+9p	$5 (8 p) + 9 p$
27607	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-7) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(- 4, - 7)$ and has a slope of $\frac{3}{2}$ ?
27608	Evaluate Using the Given Value	-2x+3y^2 , x=1 , y=-1	$- 2 x + 3 y^{2}$ , $x = 1$ , $y = - 1$
27609	Solve for x	4x-22+10x-4+x+11=180	$4 x - 22 + 10 x - 4 + x + 11 = 180$
27610	Solve Using the Quadratic Formula	x^4-1	$x^{4} - 1$
27611	Simplify	(5e^3f^2g^4)^0	${(5 e^{3} f^{2} g^{4})}^{0}$
27612	Solve the Inequality for x	x-11<=0	$x - 11 \leq 0$
27613	Solve for n	9n^2-23n+20=3n^2	$9 n^{2} - 23 n + 20 = 3 n^{2}$
27614	Simplify	(6m)((m-2)/(3m))	$(6 m) (\frac{m - 2}{3 m})$
27615	Solve for B in Degrees	3sin(B)+3=5sin(B)+2	$3 \sin (B) + 3 = 5 \sin (B) + 2$
27616	Simplify	45^45*15^15	$45^{45} \cdot 15^{15}$
27617	Find the Antiderivative	e^x(1-3e^(-2x))	$e^{x} (1 - 3 e^{- 2 x})$
27618	Simplify	(14+12a^3)+(17a^4+15-5a^3)	$(14 + 12 a^{3}) + (17 a^{4} + 15 - 5 a^{3})$
27619	Graph	x+y=8 y=-1/2x+7	$x + y = 8$ $y = - \frac{1}{2} x + 7$
27620	Solve the Rational Equation for x	x-x/(x+2)=2/(x+2)	$x - \frac{x}{x + 2} = \frac{2}{x + 2}$
27621	Evaluate Using L'Hospital's Rule	limit as x approaches -1 of (2x^2+2x)/(3cos(-1-x)-3)	$lim_{x \to - 1} \frac{2 x^{2} + 2 x}{3 \cos (- 1 - x) - 3}$
27622	Factor	4x^2y+20x^3y^4-16xy	$4 x^{2} y + 20 x^{3} y^{4} - 16 x y$
27623	Factor	x^7m+2x^4m-15xm	$x^{7} m + 2 x^{4} m - 15 x m$
27624	Simplify	\|-i\|	$\| - i \|$
27625	Solve for x	3 log base 2 of x+1=7	$3 \log_{2} (x) + 1 = 7$
27626	Divide	(610^8)/(1.510^-4)	$\frac{(6 \cdot 10^{8})}{(1.5 \cdot 10^{- 4})}$
27627	Find All Complex Solutions	(x+8)^3=525	${(x + 8)}^{3} = 525$
27628	Factor	(9x-63)cm^2	$(9 x - 63) {cm}^{2}$
27629	Solve the Inequality for x	tan(x)>-1	$\tan (x) > - 1$
27630	Evaluate	70% of 60	$70 %$ of $60$
27631	Multiply	square root of 3x* square root of x	$\sqrt{3 x} \cdot \sqrt{x}$
27632	Find the Antiderivative	4/( square root of x)+3/x-2e^x	$\frac{4}{\sqrt{x}} + \frac{3}{x} - 2 e^{x}$
27633	Find Amplitude, Period, and Phase Shift	f(x)=-2*cos(x)	$f (x) = - 2 \cdot \cos (x)$
27634	Evaluate	e^(-(-1))	$e^{- (- 1)}$
27635	Subtract	(y^2)/(y^2+8y)-64/(y^2+8y)	$\frac{y^{2}}{y^{2} + 8 y} - \frac{64}{y^{2} + 8 y}$
27636	Simplify	(6^-6)/(6^-8)*6^4	$\frac{6^{- 6}}{6^{- 8}} \cdot 6^{4}$
27637	Find the Center and Radius	(x-4)^2+(y+3)=25	${(x - 4)}^{2} + (y + 3) = 25$
27638	Find the Antiderivative	(2x^2+5)/(x^2+1)	$\frac{2 x^{2} + 5}{x^{2} + 1}$
27639	Simplify	2(-1/2)	$2 (- \frac{1}{2})$
27640	Simplify	2/(x^2-7x-30)(x^2-x-12)/(16x-x^3)(x^2-x-90)/(x+9)	$\frac{2}{x^{2} - 7 x - 30} \cdot \frac{x^{2} - x - 12}{16 x - x^{3}} \cdot \frac{x^{2} - x - 90}{x + 9}$
27641	Evaluate	1/(-3.5^2-9)	$\frac{1}{- {3.5}^{2} - 9}$
27642	Solve for x	12x^(7/2)-108x^3=0	$12 x^{\frac{7}{2}} - 108 x^{3} = 0$
27643	Evaluate the Integral	integral from 3 to 6 of 1/( square root of 6x-x^2) with respect to x	$\int_{3}^{6} \frac{1}{\sqrt{6 x - x^{2}}} d x$
27644	Solve for x	(x+5)/x-4/7=-4/(7x)	$\frac{x + 5}{x} - \frac{4}{7} = \frac{- 4}{7 x}$
27645	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,5) and has a slope of -6 ?	What is the equation of the line that passes through the point $(- 2, 5)$ and has a slope of $- 6$ ?
27646	Solve the Inequality for x	-9x+2<=-3(-4/5x-10)-1/5x	$- 9 x + 2 \leq - 3 (- \frac{4}{5} x - 10) - \frac{1}{5} x$
27647	Find the Inflection Points	f(x)=arctan(x^2)	$f (x) = \arctan (x^{2})$
27648	Solve for b	square root of b+3=6	$\sqrt{b} + 3 = 6$
27649	Solve for b	(b-3)m=r	$(b - 3) m = r$
27650	Simplify	((x-6)/(2x+9))/(10/7)	$\frac{\frac{x - 6}{2 x + 9}}{\frac{10}{7}}$
27651	Convert to Interval Notation	(x-10)/4>(x-5)/6+7/12	$\frac{x - 10}{4} > \frac{x - 5}{6} + \frac{7}{12}$
27652	Solve for A in Degrees	-2cos(A)+6=cos(A)+9	$- 2 \cos (A) + 6 = \cos (A) + 9$
27653	Simplify	fifth root of 8xy^7* fifth root of 6x^6	$\sqrt[5]{8 x y^{7}} \cdot \sqrt[5]{6 x^{6}}$
27654	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+11x^2+x-18 is divided by x+2	Use synthetic division to find the result when $3 x^{3} + 11 x^{2} + x - 18$ is divided by $x + 2$
27655	Simplify	square root of 27* square root of 1/27	$\sqrt{27} \cdot \sqrt{\frac{1}{27}}$
27656	Solve the Inequality for x	3x-x>2(x+2)	$3 x - x > 2 (x + 2)$
27657	Find the Cotangent Given the Point	( square root of 7,3)	$(\sqrt{7}, 3)$
27658	Multiply	( square root of 3)( square root of 3)	$(\sqrt{3}) (\sqrt{3})$
27659	Simplify	(2 square root of 9-x)^2	${(2 \sqrt{9 - x})}^{2}$
27660	Solve the Function Operation	j(x) = square root of x+6 k(x)=9-x Find j(k(11))	$j (x) = \sqrt{x + 6}$ $k (x) = 9 - x$ Find $j (k (11))$
27661	Graph	f^-1(x)=-x/3	$f^{- 1} (x) = - \frac{x}{3}$
27662	Convert to a Decimal	-75deg	$- 75$ degrees
27663	Simplify	(m^2-n^2)/(4m+4n)*(m+n)/(m-n)	$\frac{m^{2} - n^{2}}{4 m + 4 n} \cdot \frac{m + n}{m - n}$
27664	Simplify	x+3(2x+2y)	$x + 3 (2 x + 2 y)$
27665	Add	(2x^2-3+4x^3)+(-7-2x^3-3x^2)	$(2 x^{2} - 3 + 4 x^{3}) + (- 7 - 2 x^{3} - 3 x^{2})$
27666	Simplify	8+x+7x-1	$8 + x + 7 x - 1$
27667	Simplify the Radical Expression	cube root of 16+3 cube root of 54	$\sqrt[3]{16} + 3 \sqrt[3]{54}$
27668	Solve the Inequality for n	9+n/2>16	$9 + \frac{n}{2} > 16$
27669	Find the Derivative - d/du	arctan(u)	$\arctan (u)$
27670	Solve for x	(x^2+4x+10)^(3/2)+1=0	${(x^{2} + 4 x + 10)}^{\frac{3}{2}} + 1 = 0$
27671	Find the Distance Between Two Points	(-5,6) and (-3,-1)	$(- 5, 6)$ and $(- 3, - 1)$
27672	Solve the System of Equations	x+y=2 y=-1/3x-2	$x + y = 2$ $y = - \frac{1}{3} x - 2$
27673	Solve for t	A=(f-s)/t	$A = \frac{f - s}{t}$
27674	Subtract	(1/10x-2/3)-(4/5x-1/6)	$(\frac{1}{10} x - \frac{2}{3}) - (\frac{4}{5} x - \frac{1}{6})$
27675	Write in Standard Form	3x-7+8y=9-3y	$3 x - 7 + 8 y = 9 - 3 y$
27676	Evaluate	1/2(3)^1	$\frac{1}{2} {(3)}^{1}$
27677	Evaluate	(x^10)(x^12)	$(x^{10}) (x^{12})$
27678	Solve the Inequality for D	25<=1.05D-32.7<=30	$25 \leq 1.05 D - 32.7 \leq 30$
27679	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x+1)(x-2)(x-4)	$f (x) = (x + 1) (x - 2) (x - 4)$
27680	Simplify	3/( square root of 10+2)	$\frac{3}{\sqrt{10 + 2}}$
27681	Solve the Inequality for z	7+z<3	$7 + z < 3$
27682	Evaluate	5(-1)^4+7(-1)^3-2(-1)^2-3*-1+c	$5 {(- 1)}^{4} + 7 {(- 1)}^{3} - 2 {(- 1)}^{2} - 3 \cdot - 1 + c$
27683	Simplify	15 root of 54^5	$\sqrt[15]{54^{5}}$
27684	Simplify	4x+2-1/2x	$4 x + 2 - \frac{1}{2} x$
27685	Evaluate	(x^-6*x^-3)/(x^-8)	$\frac{x^{- 6} \cdot x^{- 3}}{x^{- 8}}$
27686	Solve for d	V = square root of e/d	$V = \sqrt{\frac{e}{d}}$
27687	Find the Quotient	(x^3+8x+8)/(x-2)	$\frac{x^{3} + 8 x + 8}{x - 2}$
27688	Find the Cube Roots of a Complex Number	2+2i	$2 + 2 i$
27689	Solve the System of Equations	y=2x-3 and x=2	$y = 2 x - 3$ and $x = 2$
27690	Simplify the Radical Expression	(3^3*6^6)^-3	${(3^{3} \cdot 6^{6})}^{- 3}$
27691	Evaluate the Integral	integral from 0 to 1 of natural log of 1-x with respect to x	$\int_{0}^{1} \ln (1 - x) d x$
27692	Evaluate the Integral	integral from 0 to 5 of (x-2)^2+1 with respect to x	$\int_{0}^{5} {(x - 2)}^{2} + 1 d x$
27693	Solve Over the Interval	sin(x)-1=0 on 0<=x<2pi	$\sin (x) - 1 = 0$ on $0 \leq x < 2 π$
27694	Multiply	-4/3*9/5	$- \frac{4}{3} \cdot \frac{9}{5}$
27695	Evaluate	(3/2)^-2*9/16	${(\frac{3}{2})}^{- 2} \cdot \frac{9}{16}$
27696	Find dy/dx	5y^3+xy+x^3+3=0	$5 y^{3} + x y + x^{3} + 3 = 0$
27697	Simplify	((2k+5)/(2k^4+5k^3))÷((35k^2+2k-1)/(7k^3-k^2))	$\frac{2 k + 5}{2 k^{4} + 5 k^{3}} \div \frac{35 k^{2} + 2 k - 1}{7 k^{3} - k^{2}}$
27698	Solve for x	1/(3x^2)-1/x=1/(6x^2)	$\frac{1}{3 x^{2}} - \frac{1}{x} = \frac{1}{6 x^{2}}$
27699	Find the Exact Value	cot(arccos(-( square root of 3)/3))	$\cot (\arccos (- \frac{\sqrt{3}}{3}))$
27700	Solve for x	7 square root of 6=x square root of 10	$7 \sqrt{6} = x \sqrt{10}$