Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208001	Graph	\|3x\|<=12	$\| 3 x \| \leq 12$
208002	Simplify	((-5a^5b^3)/(10a^7b^2))^-2	${(\frac{- 5 a^{5} b^{3}}{10 a^{7} b^{2}})}^{- 2}$
208003	Simplify	1^(1/4)*1^(1/4)	$1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}$
208004	Multiply	2pq(3q-4p)	$2 p q (3 q - 4 p)$
208005	Solve the Inequality for x	5x+7<=8x-3+2x	$5 x + 7 \leq 8 x - 3 + 2 x$
208006	Graph	r-(-5)>-2	$r - (- 5) > - 2$
208007	Graph	2x^(-)*3	$2 x^{-} \cdot 3$
208008	Solve the System of Equations	-x+y=1 x+y=11	$- x + y = 1$ $x + y = 11$
208009	Graph	x+y>1 -x-y<-3	$x + y > 1$ $- x - y < - 3$
208010	Write in Standard Form	y=(x-5)(4x+3)	$y = (x - 5) (4 x + 3)$
208011	Subtract	(4e^4+7e^3-9e^2+4e)-(-e^3+5e^2-7e)	$(4 e^{4} + 7 e^{3} - 9 e^{2} + 4 e) - (- e^{3} + 5 e^{2} - 7 e)$
208012	Evaluate	((5^3)/(5^4))^-3	${(\frac{5^{3}}{5^{4}})}^{- 3}$
208013	Find the Domain and Range	g(x)=tan(x-pi)	$g (x) = \tan (x - π)$
208014	Solve the System of Inequalities	3x+y<=3 2x-y<4	$3 x + y \leq 3$ $2 x - y < 4$
208015	Find the Domain and Range	f(x)=4cot(2x)+3	$f (x) = 4 \cot (2 x) + 3$
208016	Factor	216+8m^3+216m+72m^2	$216 + 8 m^{3} + 216 m + 72 m^{2}$
208017	Solve for x	3x^(2/3)-30=18	$3 x^{\frac{2}{3}} - 30 = 18$
208018	Evaluate the Function	f(-1.5)=(2t(t+1))/(t-1)-(3+t)/(t-1)	$f (- 1.5) = \frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
208019	Solve by Addition/Elimination	x=-20y+12 2x-3y=-19	$x = - 20 y + 12$ $2 x - 3 y = - 19$
208020	Divide	(2 square root of 3)÷2	$2 \sqrt{3} \div 2$
208021	Simplify	(2x^-2y^3)/(3xy^-4)	$\frac{2 x^{- 2} y^{3}}{3 x y^{- 4}}$
208022	Graph	f(x)=cos((2x)/3)	$f (x) = \cos (\frac{2 x}{3})$
208023	Solve for x	2x^2-2/3=5 1/3	$2 x^{2} - \frac{2}{3} = 5 \frac{1}{3}$
208024	Write in Standard Form	16r^2s^2	$16 r^{2} s^{2}$
208025	Simplify	((42^(1/3))/(6^(1/3)))^2	${(\frac{42^{\frac{1}{3}}}{6^{\frac{1}{3}}})}^{2}$
208026	Simplify	cube root of (s^-3)/(s^-4)	$\sqrt[3]{\frac{s^{- 3}}{s^{- 4}}}$
208027	Evaluate	(d^2)y=0	$(d^{2}) y = 0$
208028	Find the End Behavior	f(x)=-8x^6+8x^4-8960+2336x^2-80x^5+1648x^3-5312x	$f (x) = - 8 x^{6} + 8 x^{4} - 8960 + 2336 x^{2} - 80 x^{5} + 1648 x^{3} - 5312 x$
208029	Write Using Positive Exponents	(a^3b^-2c^4d)/(a^-2b^3c^2d^-3)	$\frac{a^{3} b^{- 2} c^{4} d}{a^{- 2} b^{3} c^{2} d^{- 3}}$
208030	Convert to Interval Notation	x>1/x	$x > \frac{1}{x}$
208031	Simplify the Radical Expression	cube root of -6x^5* cube root of -18x^4	$\sqrt[3]{- 6 x^{5}} \cdot \sqrt[3]{- 18 x^{4}}$
208032	Graph	x^2+y<=-4	$x^{2} + y \leq - 4$
208033	Solve the Inequality for x	2x<x+22	$2 x < x + 22$
208034	Simplify	( cube root of x^6y^10)/( square root of x^2y^3)	$\frac{\sqrt[3]{x^{6} y^{10}}}{\sqrt[2]{x^{2} y^{3}}}$
208035	Solve the Inequality for h	5<3h+2<=11	$5 < 3 h + 2 \leq 11$
208036	Solve the System of Equations	3x-2y-z=4 x-y-2z=0 4x+3y+z=2	$3 x - 2 y - z = 4$ $x - y - 2 z = 0$ $4 x + 3 y + z = 2$
208037	Simplify	\|1+i\|	$\| 1 + i \|$
208038	Evaluate	c=5/9*(f-32)	$c = \frac{5}{9} \cdot (f - 32)$
208039	Solve for h	-19+8h=2h+7h+1	$- 19 + 8 h = 2 h + 7 h + 1$
208040	Simplify	(3i^5)^2	${(3 i^{5})}^{2}$
208041	Simplify	-2x2xx	$- 2 x \cdot 2 x \cdot x$
208042	Simplify	(12x-5y)+(4x+5y)	$(12 x - 5 y) + (4 x + 5 y)$
208043	Simplify	4^05^-26^-1*100^0	$4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0}$
208044	Solve for x	3/x=9/(3x)-1	$\frac{3}{x} = \frac{9}{3 x} - 1$
208045	Solve for x	d(x+a)=c(x+b)	$d (x + a) = c (x + b)$
208046	Graph	y=7/6x+2 y=-5	$y = \frac{7}{6} x + 2$ $y = - 5$
208047	Simplify	(6n^2+8n+2)/(2n^2-2)	$\frac{6 n^{2} + 8 n + 2}{2 n^{2} - 2}$
208048	Find the Holes in the Graph	(x^2-5x)/(-2x^2)	$\frac{x^{2} - 5 x}{- 2 x^{2}}$
208049	Write in Exponential Form	fourth root of cube root of x	$\sqrt[4]{\sqrt[3]{x}}$
208050	Simplify	(5x)/(x+2)-(4x+3)/(3x+6)	$\frac{5 x}{x + 2} - \frac{4 x + 3}{3 x + 6}$
208051	Solve for y	4/(9y^2-1)-4/(3y+1)=5/(1-3y)	$\frac{4}{9 y^{2} - 1} - \frac{4}{3 y + 1} = \frac{5}{1 - 3 y}$
208052	Solve the Rational Equation for x	square root of 3x-5-3 square root of x=0	$\sqrt{3 x - 5} - 3 \sqrt{x} = 0$
208053	Simplify	i^18i^28i^9*i^29	$i^{18} \cdot i^{28} \cdot i^{9} \cdot i^{29}$
208054	Solve the Inequality for x	2x-8>4x	$2 x - 8 > 4 x$
208055	Write in Slope-Intercept Form	x+y<2	$x + y < 2$
208056	Graph	x+2y>=4 3x-2y<4	$x + 2 y \geq 4$ $3 x - 2 y < 4$
208057	Multiply	(3/162/5)/(7/43/2)	$\frac{\frac{3}{16} \cdot \frac{2}{5}}{\frac{7}{4} \cdot \frac{3}{2}}$
208058	Find the x and y Intercepts	Find the value of x	Find the value of $x$
208059	Solve the Inequality for a	2(7a-1)-11a>=3(a-4)	$2 (7 a - 1) - 11 a \geq 3 (a - 4)$
208060	Simplify the Radical Expression	fourth root of 9x^2	$\sqrt[4]{9 x^{2}}$
208061	Solve for u	2.5-0.5u=0.5u-1+0.75u	$2.5 - 0.5 u = 0.5 u - 1 + 0.75 u$
208062	Divide	( square root of 48x^3)/( square root of 3xy^2)	$\frac{\sqrt{48 x^{3}}}{\sqrt{3 x y^{2}}}$
208063	Simplify	square root of z^9* square root of z^10	$\sqrt{z^{9}} \cdot \sqrt{z^{10}}$
208064	Write the Fraction in Simplest Form	((-3c^-1)^4)/(-12c^7)	$\frac{{(- 3 c^{- 1})}^{4}}{- 12 c^{7}}$
208065	Evaluate	(2a^3b)^5	${(2 a^{3} b)}^{5}$
208066	Simplify	3(m-4)-n(m-4)	$3 (m - 4) - n (m - 4)$
208067	Write in Standard Form	(-2x^2-8x+3)+(-9x^2+x+3)	$(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)$
208068	Simplify	1/3(12x+6x-21)	$\frac{1}{3} (12 x + 6 x - 21)$
208069	Simplify	20 root of (z^8)/(z^-7)	$\sqrt[20]{\frac{z^{8}}{z^{- 7}}}$
208070	Simplify the Radical Expression	square root of 5^3	$\sqrt{5^{3}}$
208071	Graph	3/(2x)+1/x<=1/2	$\frac{3}{2 x} + \frac{1}{x} \leq \frac{1}{2}$
208072	Solve the Inequality for a	(a+b/c)(d-e)=f	$(a + \frac{b}{c}) (d - e) = f$
208073	Solve for x	log base 2 of x^2 = log base 2 of 4x-4	$\log_{2} (x^{2}) = \log_{2} (4 x - 4)$
208074	Simplify the Radical Expression	square root of 8+ square root of 18+ square root of 50- square root of 32	$\sqrt{8} + \sqrt{18} + \sqrt{50} - \sqrt{32}$
208075	Find the GCF	42p^6q^3-70p^5qr^2	$42 p^{6} q^{3} - 70 p^{5} q r^{2}$
208076	Simplify	8x^2+1/(x^2)	$8 x^{2} + \frac{1}{x^{2}}$
208077	Simplify	fourth root of 16x^2* square root of 100x^12	$\sqrt[4]{16 x^{2}} \cdot \sqrt{100 x^{12}}$
208078	Solve for q	(x-p)^2=q	${(x - p)}^{2} = q$
208079	Simplify	(5/3-5/3i)^2	${(\frac{5}{3} - \frac{5}{3} i)}^{2}$
208080	Solve the System of Equations	y=x^2-9 -2x+y=15	$y = x^{2} - 9$ $- 2 x + y = 15$
208081	Evaluate	(sin(pi/3))/(cos(pi/3))	$\frac{\sin (\frac{π}{3})}{\cos (\frac{π}{3})}$
208082	Graph	y>x-4 2x+y<=2	$y > x - 4$ $2 x + y \leq 2$
208083	Divide	(x^4-5x^2-8x-12)÷(x-3)	$(x^{4} - 5 x^{2} - 8 x - 12) \div (x - 3)$
208084	Determine if a Polynomial	-8c-9c^4d^2	$- 8 c - 9 c^{4} d^{2}$
208085	Evaluate	(-xy)^2*8x^-7y^-2	${(- x y)}^{2} \cdot 8 x^{- 7} y^{- 2}$
208086	Simplify	(25m^7n^2p^3)/(5m^5n^8p)	$\frac{25 m^{7} n^{2} p^{3}}{5 m^{5} n^{8} p}$
208087	Factor by Grouping	2(3-b)+5(b-3)^2	$2 (3 - b) + 5 {(b - 3)}^{2}$
208088	Simplify	(x^2+17x)-(3x^2+5x)	$(x^{2} + 17 x) - (3 x^{2} + 5 x)$
208089	Evaluate	((x^3y^2)/(4z))^-2	${(\frac{x^{3} y^{2}}{4 z})}^{- 2}$
208090	Simplify	-2x(5-3x)+10x^2-7x	$- 2 x (5 - 3 x) + 10 x^{2} - 7 x$
208091	Simplify	(-7x^3y^4)^2(x^2y^5)	${(- 7 x^{3} y^{4})}^{2} (x^{2} y^{5})$
208092	Solve for x	9(2x-6)-(x+3)=4x-18	$9 (2 x - 6) - (x + 3) = 4 x - 18$
208093	Evaluate	1/3xy+2/5xy-2xz+3/2xy+4/9xz	$\frac{1}{3} x y + \frac{2}{5} x y - 2 x z + \frac{3}{2} x y + \frac{4}{9} x z$
208094	Simplify	5/(y+10)+(4y)/(y^2+12y+20)	$\frac{5}{y + 10} + \frac{4 y}{y^{2} + 12 y + 20}$
208095	Subtract	(-9x^2y^2+5x^2y-11xy+1)-(5x^2y^2-15xy-11)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) - (5 x^{2} y^{2} - 15 x y - 11)$
208096	Simplify	1/(2x+6)+(x+1)/(x^2+4x+3)	$\frac{1}{2 x + 6} + \frac{x + 1}{x^{2} + 4 x + 3}$
208097	Simplify the Radical Expression	square root of fourth root of 8^10	$\sqrt{\sqrt[4]{8^{10}}}$
208098	Simplify	(2+ square root of 3)(6- square root of 2)	$(2 + \sqrt{3}) (6 - \sqrt{2})$
208099	Simplify	(4i)/(6+2i)	$\frac{4 i}{6 + 2 i}$
208100	Solve for y	(y-3)^2-5(y-3)=-4	${(y - 3)}^{2} - 5 (y - 3) = - 4$