Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
12801	Simplify	2^3*5^-2	$2^{3} \cdot 5^{- 2}$
12802	Simplify	(3^6)/(3^-4)*3^-1	$\frac{3^{6}}{3^{- 4}} \cdot 3^{- 1}$
12803	Simplify	(cos(x)^2)/(tan(x))+(tan(x))/(sec(x)^2)	$\frac{\cos^{2} (x)}{\tan (x)} + \frac{\tan (x)}{\sec^{2} (x)}$
12804	Divide	((3/5)(2/5))÷(4/7)	$((\frac{3}{5}) (\frac{2}{5})) \div \frac{4}{7}$
12805	Simplify	( cube root of 16w^6)( cube root of 2w^6)	$(\sqrt[3]{16 w^{6}}) (\sqrt[3]{2 w^{6}})$
12806	Solve the Function Operation	f(x)=-(x+2)^2+8 if x!=-5; 0 if x=-5 Find f(1)	$f (x) = {\begin{cases} - {(x + 2)}^{2} + 8 & x \neq - 5 \\ 0 & x = - 5 \end{cases}$ Find $f (1)$
12807	Find the Exact Value	sin(0 degrees )+cot(45 degrees )	$\sin (0 °) + \cot (45 °)$
12808	Find the Maximum/Minimum Value	y=x^3+3x^2	$y = x^{3} + 3 x^{2}$
12809	Simplify	square root of 144x^3+ square root of 121x^3-x square root of 36x	$\sqrt{144 x^{3}} + \sqrt{121 x^{3}} - x \sqrt{36 x}$
12810	Evaluate	Evaluate (5^6)/(5^2)	Evaluate $\frac{5^{6}}{5^{2}}$
12811	Solve for y	A=x+y+z	$A = x + y + z$
12812	Find dy/dx	y=(2x-1)(3x+5)	$y = (2 x - 1) (3 x + 5)$
12813	Find the Derivative - d/dx	1/(2 square root of x+1)	$\frac{1}{2 \sqrt{x + 1}}$
12814	Combine Like Terms	15v+8w-9v-6v-2w	$15 v + 8 w - 9 v - 6 v - 2 w$
12815	Solve Using the Quadratic Formula	x^2+10x+8=x	$x^{2} + 10 x + 8 = x$
12816	Solve for n	square root of 3n+1=5	$\sqrt{3 n + 1} = 5$
12817	Evaluate	square root of fourth root of 256	$\sqrt{\sqrt[4]{256}}$
12818	Solve the Rational Equation for x	(3x^2+1)/(x-1)+x=4+4/(x-1)	$\frac{3 x^{2} + 1}{x - 1} + x = 4 + \frac{4}{x - 1}$
12819	Find the Concavity	f(x)=-1/6x^4+4x^3-36x^2	$f (x) = - \frac{1}{6} x^{4} + 4 x^{3} - 36 x^{2}$
12820	Simplify	(9x^2-y^2)÷(3x+y)	$(9 x^{2} - y^{2}) \div (3 x + y)$
12821	Evaluate	5 square root of 5x+2=10	$5 \sqrt{5 x + 2} = 10$
12822	Find the Domain	(a-2)/(8a)+(2a+5)/(8a)-(3-a)/(8a)	$\frac{a - 2}{8 a} + \frac{2 a + 5}{8 a} - \frac{3 - a}{8 a}$
12823	Solve the Inequality for x	-7+x>=-8	$- 7 + x \geq - 8$
12824	Find the Domain	(a^3-b^3)/((a-b)^2)+(3ab)/(b-a)	$\frac{a^{3} - b^{3}}{{(a - b)}^{2}} + \frac{3 a b}{b - a}$
12825	Simplify	-3i^26-11i^14+i^23+7i^11	$- 3 i^{26} - 11 i^{14} + i^{23} + 7 i^{11}$
12826	Solve the Function Operation	f(x)=x^2+5x-11 g(x)=-2x+1 Find: f(g(x))	$f (x) = x^{2} + 5 x - 11$ $g (x) = - 2 x + 1$ Find: $f (g (x))$
12827	Solve for q	m=(2q-5)/(q-3)	$m = \frac{2 q - 5}{q - 3}$
12828	Simplify	(-3/(x^5y^3))(4/(x^4y))	$(- \frac{3}{x^{5} y^{3}}) (\frac{4}{x^{4} y})$
12829	Solve for x	- square root of x-2+6=2	$- \sqrt{x - 2} + 6 = 2$
12830	Solve the Inequality for x	\|3x\|>6	$\| 3 x \| > 6$
12831	Find the Slope	(9,8) and (5,1)	$(9, 8)$ and $(5, 1)$
12832	Simplify	(x^2+11x+18)/(5-x)(x^2-2x-15)/(x^2+12x+27)(x^2+x-72)/(x^2+x-72)	$\frac{x^{2} + 11 x + 18}{5 - x} \cdot \frac{x^{2} - 2 x - 15}{x^{2} + 12 x + 27} \cdot \frac{x^{2} + x - 72}{x^{2} + x - 72}$
12833	Solve the Inequality for x	x^2+x+7<10x-1	$x^{2} + x + 7 < 10 x - 1$
12834	Solve the Inequality for v	8+\|4v-7\|>=17	$8 + \| 4 v - 7 \| \geq 17$
12835	Solve for x	6^x>80	$6^{x} > 80$
12836	Find the Roots (Zeros)	(2x-3)(5x+1)=2x+2/5	$(2 x - 3) (5 x + 1) = 2 x + \frac{2}{5}$
12837	Simplify	square root of cube root of 4a^2	$\sqrt{\sqrt[3]{4 a^{2}}}$
12838	Solve for x	x^(2/3)-60=40	$x^{\frac{2}{3}} - 60 = 40$
12839	Solve for a	a = square root of 3a+18	$a = \sqrt{3 a + 18}$
12840	Determine if True	cot(theta)sin(theta)cos(theta)=1-sin(theta)^2	$\cot (θ) \sin (θ) \cos (θ) = 1 - \sin^{2} (θ)$
12841	Find the Antiderivative	(3x-2)/((x-2)^2)	$\frac{3 x - 2}{{(x - 2)}^{2}}$
12842	Simplify	i^20i^32i^19	$i^{20} \cdot i^{32} \cdot i^{19}$
12843	Solve Using the Quadratic Formula	(2x-3)(5x+1)=2x+2/5	$(2 x - 3) (5 x + 1) = 2 x + \frac{2}{5}$
12844	Solve the Function Operation	f(x)=2x^2-2x+4 g(x)=x+6 Find: (fog)(x)	$f (x) = 2 x^{2} - 2 x + 4$ $g (x) = x + 6$ Find: $((f \circ g)) (x)$
12845	Simplify	(4h^3k^2)/7*(21hk^5)/2	$\frac{4 h^{3} k^{2}}{7} \cdot \frac{21 h k^{5}}{2}$
12846	Simplify	(3w^5)(-m)^4	$(3 w^{5}) {(- m)}^{4}$
12847	Find dy/dx	2xy^3-x^3=y^2	$2 x y^{3} - x^{3} = y^{2}$
12848	Solve for x	(10x)/(x+4)=(x^2)/(x+4)+3	$\frac{10 x}{x + 4} = \frac{x^{2}}{x + 4} + 3$
12849	Solve for n	3( fourth root of 2n+6)-6=0	$3 (\sqrt[4]{2 n + 6}) - 6 = 0$
12850	Solve the Inequality for w	7.2-3w<4.5	$7.2 - 3 w < 4.5$
12851	Simplify	5/6i-1/3i	$\frac{5}{6} i - \frac{1}{3} i$
12852	Simplify	((x^-1y^0)/(2xy^0))^-3	${(\frac{x^{- 1} y^{0}}{2 x y^{0}})}^{- 3}$
12853	Simplify	( square root of 8)÷( square root of 3)	$\sqrt{8} \div \sqrt{3}$
12854	Find the Holes in the Graph	(x^2+x)/(4x+4)	$\frac{x^{2} + x}{4 x + 4}$
12855	Graph	x+y<=10 x-y>=2 y>2	$x + y \leq 10$ $x - y \geq 2$ $y > 2$
12856	Find the Exact Value	sin(arccos(0))	$\sin (\arccos (0))$
12857	Convert to Logarithmic Form	(1/3)^3=(1/27)	${(\frac{1}{3})}^{3} = (\frac{1}{27})$
12858	Simplify	((3ab)/(4xy))÷(-(21a^2b)/(10x^2y))	$\frac{3 a b}{4 x y} \div (- \frac{21 a^{2} b}{10 x^{2} y})$
12859	Graph	64-x^2=y^2	$64 - x^{2} = y^{2}$
12860	Evaluate the Integral	integral from 1 to 2 of 2x square root of 4+x^2 with respect to x	$\int_{1}^{2} 2 x \sqrt{4 + x^{2}} d x$
12861	Solve the Function Operation	f(x)=x^2+7x-1 g(x)=-2x-9 Find: (fog)(x)	$f (x) = x^{2} + 7 x - 1$ $g (x) = - 2 x - 9$ Find: $((f \circ g)) (x)$
12862	Solve the Inequality for x	x>=2/(x+1)	$x \geq \frac{2}{x + 1}$
12863	Simplify	(ab^4c^3)/(a^4b^7c^2)	$\frac{a b^{4} c^{3}}{a^{4} b^{7} c^{2}}$
12864	Solve the Function Operation	f(x)=-2x+10 g(x)=3x^2+5x+14 Find: f(g(x))	$f (x) = - 2 x + 10$ $g (x) = 3 x^{2} + 5 x + 14$ Find: $f (g (x))$
12865	Evaluate the Integral	integral of 8^(2y^3-3y^2)(y^2-y) with respect to y	$\int 8^{2 y^{3} - 3 y^{2}} (y^{2} - y) d y$
12866	Divide Using Long Polynomial Division	x^3-3x+2 , x+2	$x^{3} - 3 x + 2$ , $x + 2$
12867	Solve by Graphing	y=-2/5x+8 x-y=-1	$y = - \frac{2}{5} x + 8$ $x - y = - 1$
12868	Multiply	3x(x^2-4)(5-3x)	$3 x (x^{2} - 4) (5 - 3 x)$
12869	Find the Antiderivative	natural log of xdx	$\ln (x d x)$
12870	Evaluate	(1+0.08/1)^(1/4)-1	${(1 + \frac{0.08}{1})}^{\frac{1}{4}} - 1$
12871	Find Where Increasing/Decreasing	-2x^4-16x^3-32x^2	$- 2 x^{4} - 16 x^{3} - 32 x^{2}$
12872	Solve for x	(x+1)/6=(x-1)/x	$\frac{x + 1}{6} = \frac{x - 1}{x}$
12873	Simplify	1/(12y^4)+(y-4)/(4y^5)	$\frac{1}{12 y^{4}} + \frac{y - 4}{4 y^{5}}$
12874	Find the Exact Value	(( square root of 3)/2)÷(1/2)	$\frac{\sqrt{3}}{2} \div \frac{1}{2}$
12875	Solve the Inequality for X	X/13+3>=4	$\frac{X}{13} + 3 \geq 4$
12876	Find the Roots (Zeros)	y=4(x+1)^3+8	$y = 4 {(x + 1)}^{3} + 8$
12877	Solve the System of Inequalities	-7x-50<=-1 AND -6x+70>-2	$- 7 x - 50 \leq - 1$ AND $- 6 x + 70 > - 2$
12878	Simplify	a-(5b-(a-(3b-2c)+c-(a-2b-c)))	$a - (5 b - (a - (3 b - 2 c) + c - (a - 2 b - c)))$
12879	Convert to a Decimal	-4pirad	$- 4 π$ radians
12880	Graph	2x+7y>5 and 3x-y<=2	$2 x + 7 y > 5$ and $3 x - y \leq 2$
12881	Simplify	(-243/8)^(-2/5)	${(- \frac{243}{8})}^{- \frac{2}{5}}$
12882	Graph	y = natural log of 3x+4+3	$y = \ln (3 x + 4) + 3$
12883	Evaluate	2+3+4=5+4	$2 + 3 + 4 = 5 + 4$
12884	Simplify the Radical Expression	4 square root of 3* square root of 12	$4 \sqrt{3} \cdot \sqrt{12}$
12885	Find the Domain and Range	f(x)=-(1/3)^(x+4)	$f (x) = - {(\frac{1}{3})}^{x + 4}$
12886	Write as a Single Logarithm	-5/2 log base 2 of 4-4 log base 2 of x+3/2 log base 2 of y	$- \frac{5}{2} \log_{2} (4) - 4 \log_{2} (x) + \frac{3}{2} \log_{2} (y)$
12887	Convert to Interval Notation	x<-1/2	$x < - \frac{1}{2}$
12888	Find the Derivative - d/dx	2e^( square root of x)	$2 e^{\sqrt{x}}$
12889	Find the Product	2x(3x^2-5)	$2 x (3 x^{2} - 5)$
12890	Integrate By Parts	integral from 0 to 1 of (x^2+1)e^(-x) with respect to x	$\int_{0}^{1} (x^{2} + 1) e^{- x} d x$
12891	Subtract	0--10	$0 - - 10$
12892	Simplify	(16x)÷2xy	$16 x \div 2 x y$
12893	Solve by Addition/Elimination	x=3y+11 2x-3y=16	$x = 3 y + 11$ $2 x - 3 y = 16$
12894	Simplify	(-4b+15-7k)-(6+4b-2k)	$(- 4 b + 15 - 7 k) - (6 + 4 b - 2 k)$
12895	Find the Cosecant Given the Point	((2 square root of 30)/11,1/11)	$(\frac{2 \sqrt{30}}{11}, \frac{1}{11})$
12896	Solve for v	-2v+14v+3=8v+27	$- 2 v + 14 v + 3 = 8 v + 27$
12897	Simplify the Radical Expression	( cube root of 9)/( cube root of 6)	$\frac{\sqrt[3]{9}}{\sqrt[3]{6}}$
12898	Find the Derivative - d/dx	y=4/(x^2-3x+2)	$y = \frac{4}{x^{2} - 3 x + 2}$
12899	Expand the Logarithmic Expression	log base 3 of 81/((yz)^5)	$\log_{3} (\frac{81}{{(y z)}^{5}})$
12900	Solve by Substitution	x=-7y+34 x+7y=32	$x = - 7 y + 34$ $x + 7 y = 32$