Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
45001	Evaluate	2(5+(30÷6)^2)	$2 (5 + {(30 \div 6)}^{2})$
45002	Multiply	12111098765432*1	$12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$
45003	Convert to Interval Notation	-4x+5<-x-7<-4x+8	$- 4 x + 5 < - x - 7 < - 4 x + 8$
45004	Find the Holes in the Graph	(x^2+5x+4)/(x^2-1)	$\frac{x^{2} + 5 x + 4}{x^{2} - 1}$
45005	Solve for n	(n-6)/(3n)=(n-5)/(3n+1)	$\frac{n - 6}{3 n} = \frac{n - 5}{3 n + 1}$
45006	Simplify	- square root of 44m^2n-5 square root of 99m^2n	$- \sqrt{44 m^{2} n} - 5 \sqrt{99 m^{2} n}$
45007	Solve for x	3x^2+14x+4=4	$3 x^{2} + 14 x + 4 = 4$
45008	Find All Complex Solutions	2x^2-7x+9=x+1	$2 x^{2} - 7 x + 9 = x + 1$
45009	Evaluate	(-14/9)÷(6/9)+8/9*(-3/2)	$- \frac{14}{9} \div \frac{6}{9} + \frac{8}{9} \cdot (- \frac{3}{2})$
45010	Evaluate the Integral	integral of (2x^2+3/x+5/(x^7)-4sin(x)+2e^x) with respect to x	$\int (2 x^{2} + \frac{3}{x} + \frac{5}{x^{7}} - 4 \sin (x) + 2 e^{x}) d x$
45011	Evaluate the Integral	integral of (x^(3/2)+8)^5 square root of x with respect to x	$\int {(x^{\frac{3}{2}} + 8)}^{5} \sqrt{x} d x$
45012	Solve for x	2(x-7)+4x=-x	$2 (x - 7) + 4 x = - x$
45013	Evaluate	-5cos(2.749/2)sin(2.749/2)+1/(2.749+1)	$- 5 \cos (\frac{2.749}{2}) \sin (\frac{2.749}{2}) + \frac{1}{2.749 + 1}$
45014	Solve for x	-2.4(x-6)>=52.8	$- 2.4 (x - 6) \geq 52.8$
45015	Simplify	14+(2c)/c	$14 + \frac{2 c}{c}$
45016	Find the Derivative - d/dx	y=x^2-x^5	$y = x^{2} - x^{5}$
45017	Graph	y = log base x of 2	$y = \log_{x} (2)$
45018	Simplify	(-9-6i)/(-3-2i)	$\frac{- 9 - 6 i}{- 3 - 2 i}$
45019	Find the Exact Value	(3-2i)+(7-3i)	$(3 - 2 i) + (7 - 3 i)$
45020	Subtract	9/x-5/(3x)	$\frac{9}{x} - \frac{5}{3 x}$
45021	Solve the System of Inequalities	y>1/2x-2 y<-x-5	$y > \frac{1}{2} x - 2$ $y < - x - 5$
45022	Simplify	(- square root of 2)/(- square root of 2)	$\frac{- \sqrt{2}}{- \sqrt{2}}$
45023	Simplify	(8x^2y)/((4xy)^2)	$\frac{8 x^{2} y}{{(4 x y)}^{2}}$
45024	Simplify	( square root of 27)/( fourth root of 27)	$\frac{\sqrt{27}}{\sqrt[4]{27}}$
45025	Convert to a Percentage	12in to 36in	$12 inches$ to $36 inches$
45026	Solve for x	square root of x-3<=7	$\sqrt{x - 3} \leq 7$
45027	Simplify	3(3x^2+2x-10)+9	$3 (3 x^{2} + 2 x - 10) + 9$
45028	Evaluate	1^(-1/2)	$1^{\frac{- 1}{2}}$
45029	Evaluate	pi-0.5	$π - 0.5$
45030	Simplify	sixth root of a* cube root of a* square root of a	$\sqrt[6]{a} \cdot \sqrt[3]{a} \cdot \sqrt[2]{a}$
45031	Evaluate	(x^6)^(1/2)	${(x^{6})}^{\frac{1}{2}}$
45032	Evaluate	(6a^10b^9)/(3ab^3)	$\frac{6 a^{10} b^{9}}{3 a b^{3}}$
45033	Solve for x	(ax+b)/c-d=e	$\frac{a x + b}{c} - d = e$
45034	Factor	x^2+bx-ax-ab	$x^{2} + b x - a x - a b$
45035	Convert from Radians to Degrees	1.5rad	$1.5$ rad
45036	Solve the Absolute Value Inequality for x	\|x/2-3\|=1	$\| \frac{x}{2} - 3 \| = 1$
45037	Solve the Rational Equation for x	square root of 6x+1-8=3	$\sqrt{6 x + 1} - 8 = 3$
45038	Find the Domain and Range	F(x)=x^3-6x^2+8x	$F (x) = x^{3} - 6 x^{2} + 8 x$
45039	Simplify	(z^a*z^b)/(z^c)	$\frac{z^{a} \cdot z^{b}}{z^{c}}$
45040	Graph	h(x)=(x+2)^2(x+1)	$h (x) = {(x + 2)}^{2} (x + 1)$
45041	Evaluate	(x^2+3x-9)(4-x)^-1	$(x^{2} + 3 x - 9) {(4 - x)}^{- 1}$
45042	Solve for θ in Degrees	3tan(theta)-2=tan(theta)	$3 \tan (θ) - 2 = \tan (θ)$
45043	Simplify the Radical Expression	( cube root of 250x^7y^3)/( cube root of 2x^2y)	$\frac{\sqrt[3]{250 x^{7} y^{3}}}{\sqrt[3]{2 x^{2} y}}$
45044	Find the GCF	30 and 45	$30$ and $45$
45045	Solve for x	(x-3)^4=21	${(x - 3)}^{4} = 21$
45046	Evaluate	(16/3)^(-3/4)	${(\frac{16}{3})}^{- \frac{3}{4}}$
45047	Evaluate	(x^6)/(x^-2*x^4)	$\frac{x^{6}}{x^{- 2} \cdot x^{4}}$
45048	Solve for x	6x+10=6x+0.2(x-7.8)+1	$6 x + 10 = 6 x + 0.2 (x - 7.8) + 1$
45049	Find the Derivative - d/dz	y=e^(cot(3z))	$y = e^{\cot (3 z)}$
45050	Evaluate the Limit	limit as x approaches 1 of (1/( square root of x)-1)/(x-1)	$lim_{x \to 1} \frac{\frac{1}{\sqrt{x}} - 1}{x - 1}$
45051	Find the Maximum/Minimum Value	f(x) = natural log of x^2+1	$f (x) = \ln (x^{2} + 1)$
45052	Find the Sum of the Infinite Geometric Series	4-2+1-0.5+...	$4 - 2 + 1 - 0.5 + \dots$
45053	Simplify	(5c^2-15c^3)/(20c^2d+25c^2)	$\frac{5 c^{2} - 15 c^{3}}{20 c^{2} d + 25 c^{2}}$
45054	Solve the Absolute Value Inequality for k	\|2x+7\|-k<=5	$\| 2 x + 7 \| - k \leq 5$
45055	Find Where Increasing/Decreasing	y=x^3-6x^2+9x	$y = x^{3} - 6 x^{2} + 9 x$
45056	Simplify	2 square root of 2x(3 square root of 6x^3-4 square root of 8y+7 square root of xy^2)	$2 \sqrt{2 x} (3 \sqrt{6 x^{3}} - 4 \sqrt{8 y} + 7 \sqrt{x y^{2}})$
45057	Simplify	8/(4x^-4)	$\frac{8}{4 x^{- 4}}$
45058	Find the Antiderivative	(sin(x)-cos(x))^2	${(\sin (x) - \cos (x))}^{2}$
45059	Solve for x	x^2=(x+4)(x-4)+16	$x^{2} = (x + 4) (x - 4) + 16$
45060	Evaluate	(2^(2/5))/2	$\frac{2^{\frac{2}{5}}}{2}$
45061	Evaluate	16^(1/2)*2^-3	$16^{\frac{1}{2}} \cdot 2^{- 3}$
45062	Find the Exact Value	cos(-810 degrees )	$\cos (- 810 °)$
45063	Solve for x	x^2>2	$x^{2} > 2$
45064	Solve for x	sec(x)^2+3sec(x)+2=0	$\sec^{2} (x) + 3 \sec (x) + 2 = 0$
45065	Evaluate	e^(2infinity)	$e^{2 \infty}$
45066	Solve the System of Equations	3x-9y-3z=6 2x-7y-4z=8 4x-8y+4z=-8	$3 x - 9 y - 3 z = 6$ $2 x - 7 y - 4 z = 8$ $4 x - 8 y + 4 z = - 8$
45067	Solve for x	(13k+10x)+(-8x-9k)=12k	$(13 k + 10 x) + (- 8 x - 9 k) = 12 k$
45068	Simplify	4(0.5x+2.5y-0.7x-1.3y+4)	$4 (0.5 x + 2.5 y - 0.7 x - 1.3 y + 4)$
45069	Evaluate	(x^-2)/(x^-6*x^-6)	$\frac{x^{- 2}}{x^{- 6} \cdot x^{- 6}}$
45070	Solve for x	log base x of 2x+3=2	$\log_{x} (2 x + 3) = 2$
45071	Evaluate	-pi/6+pi/2	$- \frac{π}{6} + \frac{π}{2}$
45072	Evaluate	3m^-8p^0	$3 m^{- 8} p^{0}$
45073	Solve for w	(6w-1)/5-3w=(12w-16)/15	$\frac{6 w - 1}{5} - 3 w = \frac{12 w - 16}{15}$
45074	Find the Integral	2cos(2x)	$2 \cos (2 x)$
45075	Solve for x	3^(x+2)-3^(x+1)=18	$3^{x + 2} - 3^{x + 1} = 18$
45076	Solve for a	a/2=13/20	$\frac{a}{2} = \frac{13}{20}$
45077	Simplify the Radical Expression	square root of 9+ square root of -27+ square root of 100- square root of -3	$\sqrt{9} + \sqrt{- 27} + \sqrt{100} - \sqrt{- 3}$
45078	Multiply	(1/2c^3d)^5	${(\frac{1}{2} c^{3} d)}^{5}$
45079	Write as a Single Logarithm	3/2 natural log of 16x^8-1/5 natural log of 2y^25	$\frac{3}{2} \ln (16 x^{8}) - \frac{1}{5} \ln (2 y^{25})$
45080	Simplify	(sin((11pi)/6)-cos(pi/6))/(sin(-pi/3)+cos((5pi)/6))	$\frac{\sin (\frac{11 π}{6}) - \cos (\frac{π}{6})}{\sin (- \frac{π}{3}) + \cos (\frac{5 π}{6})}$
45081	Simplify	5+4m^2+7m-m^2+3m-13	$5 + 4 m^{2} + 7 m - m^{2} + 3 m - 13$
45082	Evaluate Using the Given Value	x-y+6 ; use x=6 ; and y=1	$x - y + 6$ ; use $x = 6$ ; and $y = 1$
45083	Evaluate	fourth root of (16x^11y^8)/(81x^7y^6)	$\sqrt[4]{\frac{16 x^{11} y^{8}}{81 x^{7} y^{6}}}$
45084	Simplify	fourth root of x*x^2	$\sqrt[4]{x} \cdot x^{2}$
45085	Solve for x	9-x<=17	$9 - x \leq 17$
45086	Find the Equation Using Point-Slope Formula	(3,-2) and (5,-9)	$(3, - 2)$ and $(5, - 9)$
45087	Simplify	(x^3-1)/(x^3+x^2+x)	$\frac{x^{3} - 1}{x^{3} + x^{2} + x}$
45088	Find the Maximum/Minimum Value	f(x)=1/2(x-2)^3-4	$f (x) = \frac{1}{2} {(x - 2)}^{3} - 4$
45089	Evaluate the Integral	integral of (-4cos(x))/(1-cos(x)^2) with respect to x	$\int \frac{- 4 \cos (x)}{1 - \cos^{2} (x)} d x$
45090	Find the Roots (Zeros)	cos(x)-sin(x)=0	$\cos (x) - \sin (x) = 0$
45091	Evaluate	-1/5(3/8-5/6)	$- \frac{1}{5} (\frac{3}{8} - \frac{5}{6})$
45092	Solve for k	7k-8+2(k+12)=52	$7 k - 8 + 2 (k + 12) = 52$
45093	Solve the Function Operation	f(x)=6x+2 g(x)=-5x-9 Find the product of f and g	$f (x) = 6 x + 2$ $g (x) = - 5 x - 9$ Find the product of $f$ and $g$
45094	Find the Function	f(x)=(x-1)^3+2	$f (x) = {(x - 1)}^{3} + 2$
45095	Expand Using the Binomial Theorem	(q^2+4/7)^2	${(q^{2} + \frac{4}{7})}^{2}$
45096	Solve for x	2^x-1=0	$2^{x} - 1 = 0$
45097	Add	1 plus 1	$1$ plus $1$
45098	Find the Roots (Zeros)	5x^4+7x^8-x^12	$5 x^{4} + 7 x^{8} - x^{12}$
45099	Convert to Radical Form	((4^(5/4)*4^(1/4))/(4^(1/2)))^(1/2)	${(\frac{4^{\frac{5}{4}} \cdot 4^{\frac{1}{4}}}{4^{\frac{1}{2}}})}^{\frac{1}{2}}$
45100	Find the Domain	(x-7)/(-5x+40)*(x^2-64)/(-4x+28)	$\frac{x - 7}{- 5 x + 40} \cdot \frac{x^{2} - 64}{- 4 x + 28}$