Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225801	Multiply	(x^3+8x^2)/(x^2+x-56)*(x^2-11x+28)/(4x)	$\frac{x^{3} + 8 x^{2}}{x^{2} + x - 56} \cdot \frac{x^{2} - 11 x + 28}{4 x}$
225802	Write in Standard Form	x^2+2x+y^2=55x+10y	$x^{2} + 2 x + y^{2} = 55 x + 10 y$
225803	Solve the Inequality for m	-4\|-6m\|<-24	$- 4 \| - 6 m \| < - 24$
225804	Write in Standard Form	y^2+2x+x=24y-120	$y^{2} + 2 x + x = 24 y - 120$
225805	Simplify	(5x^3+2x-1+4x^2)+(6-5x+x^3)-(2x^2+5)	$(5 x^{3} + 2 x - 1 + 4 x^{2}) + (6 - 5 x + x^{3}) - (2 x^{2} + 5)$
225806	Simplify	(3x^3*2y^3)^3	${(3 x^{3} \cdot 2 y^{3})}^{3}$
225807	Write in Standard Form	k(k-9)	$k (k - 9)$
225808	Find the Domain and Range	f(x)=arccot(x)	$f (x) = arccot (x)$
225809	Divide	(8%)÷4	$8 % \div 4$
225810	Solve the System of Inequalities	2x+5y>-6 -4x+3y<=2	$2 x + 5 y > - 6$ $- 4 x + 3 y \leq 2$
225811	Simplify	a^2-2a+5a^3+1-10a	$a^{2} - 2 a + 5 a^{3} + 1 - 10 a$
225812	Solve the System of Inequalities	w+3<=0 or w+7>=9	$w + 3 \leq 0$ or $w + 7 \geq 9$
225813	Simplify	(3 square root of 2+ square root of 6)/( square root of 12)	$\frac{3 \sqrt{2} + \sqrt{6}}{\sqrt{12}}$
225814	Simplify	(1-x/2)^2	${(1 - \frac{x}{2})}^{2}$
225815	Divide	(((x^2-5x+6)^-1)/((x-2)^-2))÷(((x-3)^-1)/((x-2)^-2))	$\frac{{(x^{2} - 5 x + 6)}^{- 1}}{{(x - 2)}^{- 2}} \div \frac{{(x - 3)}^{- 1}}{{(x - 2)}^{- 2}}$
225816	Multiply	(x^2-5x)/(x^2-3x)*(x+3)/(x-5)	$\frac{x^{2} - 5 x}{x^{2} - 3 x} \cdot \frac{x + 3}{x - 5}$
225817	Subtract	(4x^4+4)/(x^2+1)-8/(x^2+1)	$\frac{4 x^{4} + 4}{x^{2} + 1} - \frac{8}{x^{2} + 1}$
225818	Simplify	xy(x+y)	$x y (x + y)$
225819	Simplify	(x^2+x)/(2x)	$\frac{x^{2} + x}{2 x}$
225820	Evaluate	22-3\|-3(2+1)+4\|	$22 - 3 \| - 3 (2 + 1) + 4 \|$
225821	Solve the Inequality for x	-1<=2x+4-5	$- 1 \leq 2 x + 4 - 5$
225822	Simplify	(2a^2b^2+3ab^2-5a^2b)-(3a^2b^2-9a^2b+7ab^2)	$(2 a^{2} b^{2} + 3 a b^{2} - 5 a^{2} b) - (3 a^{2} b^{2} - 9 a^{2} b + 7 a b^{2})$
225823	Graph	x-\|x\|	$x - \| x \|$
225824	Graph	p(x):\|3-x\|-\|x+2\|=5	$p (x) : \| 3 - x \| - \| x + 2 \| = 5$
225825	Multiply	(7- square root of 8)(7+ square root of 8)	$(7 - \sqrt{8}) (7 + \sqrt{8})$
225826	Graph	f(x)=-(4/3)^(2(x-3))+1	$f (x) = - {(\frac{4}{3})}^{2 (x - 3)} + 1$
225827	Divide	(32 cube root of 18y)÷8 cube root of 3y	$32 \sqrt[3]{18 y} \div 8 \sqrt[3]{3 y}$
225828	Find the Degree, Leading Term, and Leading Coefficient	p(x)=(x+2)(2x-3)(4x+7)	$p (x) = (x + 2) (2 x - 3) (4 x + 7)$
225829	Subtract	(2x-2y+1)-(3y+4x)	$(2 x - 2 y + 1) - (3 y + 4 x)$
225830	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,0) and has a slope of -1/3 ?	What is the equation of the line that passes through the point $(- 3, 0)$ and has a slope of $- \frac{1}{3}$ ?
225831	Simplify	(7^35^6)/(75^2)	$\frac{7^{3} \cdot 5^{6}}{7 \cdot 5^{2}}$
225832	Evaluate	(6x-9)/3	$\frac{6 x - 9}{3}$
225833	Simplify	(-9x^2y^2+5x^2y-11xy+1)+(4xy-13x^2y+7)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) + (4 x y - 13 x^{2} y + 7)$
225834	Identify the Zeros and Their Multiplicities	f(x)=2x^5-13x^4+22x^3-187x^2-160x+336	$f (x) = 2 x^{5} - 13 x^{4} + 22 x^{3} - 187 x^{2} - 160 x + 336$
225835	Solve for x	log base 3 of 1/9=x/3	$\log_{3} (\frac{1}{9}) = \frac{x}{3}$
225836	Solve for y	4(-y+3)=2(5-y)	$4 (- y + 3) = 2 (5 - y)$
225837	Divide Using Long Polynomial Division	(10x^3+27x^2+14x+5)÷(x^2+2x)	$(10 x^{3} + 27 x^{2} + 14 x + 5) \div (x^{2} + 2 x)$
225838	Evaluate	square root of 4x+41=x+5	$\sqrt{4 x + 41} = x + 5$
225839	Find the Exact Value	tan(-(3pi)/4)csc((2pi)/3)	$\tan (- \frac{3 π}{4}) \csc (\frac{2 π}{3})$
225840	Solve by Substitution	y=6x and 2x+3y=-20	$y = 6 x$ and $2 x + 3 y = - 20$
225841	Simplify	(-sin(theta)^2+sec(theta)^2-cos(theta)^2)/(tan(theta))	$\frac{- \sin^{2} (θ) + \sec^{2} (θ) - \cos^{2} (θ)}{\tan (θ)}$
225842	Simplify	8-4x-x^3+x^2+7x-9	$8 - 4 x - x^{3} + x^{2} + 7 x - 9$
225843	Find All Complex Solutions	2sin(theta)=-1	$2 \sin (θ) = - 1$
225844	Convert to Radical Form	(x^2+y^2)^(1/2)	${(x^{2} + y^{2})}^{\frac{1}{2}}$
225845	Find the Second Term	A_n=n(n-1)(n-2)	$A_{n} = n (n - 1) (n - 2)$
225846	Evaluate	fifth root of 5^3* fifth root of 5	$\sqrt[5]{5^{3}} \cdot \sqrt[5]{5}$
225847	Factor	2/3(9x-15)-(-6x+2)	$\frac{2}{3} (9 x - 15) - (- 6 x + 2)$
225848	Simplify	2/5*15/(4(y-3))	$\frac{2}{5} \cdot \frac{15}{4 (y - 3)}$
225849	Solve for y	3y-3y=0	$3 y - 3 y = 0$
225850	Solve for x	3b(2x-a^2)=5d-7gx	$3 b (2 x - a^{2}) = 5 d - 7 g x$
225851	Graph	y=(x^3)/(x^2-1)	$y = \frac{x^{3}}{x^{2} - 1}$
225852	Find the LCM	14 and 6	$14$ and $6$
225853	Simplify	4x^2-(8x-4x^2)+5+(4x-10)	$4 x^{2} - (8 x - 4 x^{2}) + 5 + (4 x - 10)$
225854	Simplify	(6+9i)/2	$\frac{6 + 9 i}{2}$
225855	Write the Absolute Value as Piecewise	f(x)=7\|x\|	$f (x) = 7 \| x \|$
225856	Simplify	( cube root of 9-2)( cube root of 81+2 cube root of 9+4)	$(\sqrt[3]{9} - 2) (\sqrt[3]{81} + 2 \sqrt[3]{9} + 4)$
225857	Evaluate Using the Given Value	3 , 125=5^-10+3x	$3$ , $125 = 5^{- 10} + 3 x$
225858	Find the Inverse	f^-1(x)=x^2+2	$f^{- 1} (x) = x^{2} + 2$
225859	Solve the Inequality for g	g/-3.2>4	$\frac{g}{- 3.2} > 4$
225860	Solve the Inequality for x	9>x-2 1/4	$9 > x - 2 \frac{1}{4}$
225861	Simplify	(1/y)^0	${(\frac{1}{y})}^{0}$
225862	Simplify	(2x^(1/3)y^(3/5))^2	${(2 x^{\frac{1}{3}} y^{\frac{3}{5}})}^{2}$
225863	Solve the Inequality for c	1/2<=c-3/4	$\frac{1}{2} \leq c - \frac{3}{4}$
225864	Simplify	(1/4)^(-3x)*8^(2-2x)	${(\frac{1}{4})}^{- 3 x} \cdot 8^{2 - 2 x}$
225865	Solve by Factoring	(x^4+5x^2-36)(2x^2+9x-5)=0	$(x^{4} + 5 x^{2} - 36) (2 x^{2} + 9 x - 5) = 0$
225866	Find f(g(x))	f(x)=-5x-4 and g(x)=6x-7	$f (x) = - 5 x - 4$ and $g (x) = 6 x - 7$
225867	Solve the System of Equations	3x=3+y -3x+y=-3	$3 x = 3 + y$ $- 3 x + y = - 3$
225868	Divide Using Long Polynomial Division	(x^2+2x)/x	$\frac{x^{2} + 2 x}{x}$
225869	Graph	x-y=9 7x^2+3y^2-24y=139	$x - y = 9$ $7 x^{2} + 3 y^{2} - 24 y = 139$
225870	Simplify	8i^56-9i^72	$8 i^{56} - 9 i^{72}$
225871	Solve the System of Equations	x+y+z=3 13x+2z=2 -x-5z=-5	$x + y + z = 3$ $13 x + 2 z = 2$ $- x - 5 z = - 5$
225872	Graph	x+y<=5 and y<=-5	$x + y \leq 5$ and $y \leq - 5$
225873	Graph	2x+y=-4 y=5/2x+5	$2 x + y = - 4$ $y = \frac{5}{2} x + 5$
225874	Simplify	-(5bc)-(bc)	$- (5 b c) - (b c)$
225875	Solve for x	-2+2x=-x+2+x	$- 2 + 2 x = - x + 2 + x$
225876	Write in Slope-Intercept Form	(5,-12) and (-3,-4)	$(5, - 12)$ and $(- 3, - 4)$
225877	Find the Exact Value	9/8-7/2	$\frac{9}{8} - \frac{7}{2}$
225878	Evaluate Using the Given Value	x^3-2x+3 if x=-3	$x^{3} - 2 x + 3$ if $x = - 3$
225879	Divide Using Synthetic Division	2x^4-3x^3-24x^2+76x-60 by 2x-3	$2 x^{4} - 3 x^{3} - 24 x^{2} + 76 x - 60$ by $2 x - 3$
225880	Simplify	( square root of 32c^5d^3)/( square root of 2ab)	$\frac{\sqrt{32 c^{5} d^{3}}}{\sqrt{2 a b}}$
225881	Simplify	(10v-5v^2)/(v^2-11v+18)*(v^2-8v-9)/(15v)	$\frac{10 v - 5 v^{2}}{v^{2} - 11 v + 18} \cdot \frac{v^{2} - 8 v - 9}{15 v}$
225882	Evaluate	(17x^0y^-8)/(4^-2z^-6)	$\frac{17 x^{0} y^{- 8}}{4^{- 2} z^{- 6}}$
225883	Solve for x	b/ax=d/c	$\frac{b}{a} x = \frac{d}{c}$
225884	Simplify	(2 square root of 6)/(4 square root of 2)	$\frac{2 \sqrt{6}}{4 \sqrt{2}}$
225885	Solve for x	0=x^2-20	$0 = x^{2} - 20$
225886	Evaluate	-14x>-3	$- 14 x > - 3$
225887	Solve for x	10^((2x)/3)=15	$10^{\frac{2 x}{3}} = 15$
225888	Solve for x	4-x^2=8/3	$4 - x^{2} = \frac{8}{3}$
225889	Solve for x	(x+3)/(x-3)+(x-3)/(x+3)=3 1/3	$\frac{x + 3}{x - 3} + \frac{x - 3}{x + 3} = 3 \frac{1}{3}$
225890	Simplify	x^2+x(x-5)^2	$x^{2} + x {(x - 5)}^{2}$
225891	Evaluate	(2(x+9))/3=(3(x+8))/5+88	$\frac{2 (x + 9)}{3} = \frac{3 (x + 8)}{5} + 88$
225892	Solve for a	10+ square root of a+7=11	$10 + \sqrt{a + 7} = 11$
225893	Solve for x	7x^5=-84	$7 x^{5} = - 84$
225894	Find All Complex Solutions	square root of 3x+14=2	$\sqrt{3 x} + 14 = 2$
225895	Simplify	4^x+4^x+4^x+4^x	$4^{x} + 4^{x} + 4^{x} + 4^{x}$
225896	Graph	-f(x)=x/(x^2+1)	$- f (x) = \frac{x}{x^{2} + 1}$
225897	Find the Domain and Range	(x^2)/(x^2-4)	$\frac{x^{2}}{x^{2} - 4}$
225898	Solve the System of Inequalities	p+4<=1 or p-1>=1	$p + 4 \leq 1$ or $p - 1 \geq 1$
225899	Simplify	(5/(9x^2))÷(10/(3x))	$\frac{5}{9 x^{2}} \div \frac{10}{3 x}$
225900	Solve for w	3 = square root of 35-2w	$3 = \sqrt{35 - 2 w}$