Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196901	Find the Product	-1/2y(2y^3-8)	$- \frac{1}{2} y (2 y^{3} - 8)$
196902	Evaluate	4pi*11^2	$4 π \cdot 11^{2}$
196903	Convert to Radical Form	45^0.25	$45^{0.25}$
196904	Simplify	-1/2-1/2	$- \frac{1}{2} - \frac{1}{2}$
196905	Solve the System of Inequalities	3x+5>=-1 or -2x-7>=5	$3 x + 5 \geq - 1$ or $- 2 x - 7 \geq 5$
196906	Simplify	(2a)/(8a^2b)	$\frac{2 a}{8 a^{2} b}$
196907	Graph	y=2f(x)+1	$y = 2 f (x) + 1$
196908	Simplify the Radical Expression	16^(-3/4)	$16^{- \frac{3}{4}}$
196909	Factor	18ax^2+27a^2y-81ay^2	$18 a x^{2} + 27 a^{2} y - 81 a y^{2}$
196910	Evaluate	(x+a)(x+b)	$(x + a) (x + b)$
196911	Solve for x	2>=x/4	$2 \geq \frac{x}{4}$
196912	Simplify	(-2xy^2)^4(2x^3y^4)^2	${(- 2 x y^{2})}^{4} {(2 x^{3} y^{4})}^{2}$
196913	Simplify	(1-x+x^2)+(1+x-x^2)+(1-x^2+x^5)	$(1 - x + x^{2}) + (1 + x - x^{2}) + (1 - x^{2} + x^{5})$
196914	Solve the Rational Equation for x	4/x-5/(x+3)=1	$\frac{4}{x} - \frac{5}{x + 3} = 1$
196915	Evaluate	6-2*2+2^5	$6 - 2 \cdot 2 + 2^{5}$
196916	Factor	3(a+b)+x(a+b)	$3 (a + b) + x (a + b)$
196917	Solve for d	42=d^2-22	$42 = d^{2} - 22$
196918	Evaluate	f(2)+g(2)	$f (2) + g (2)$
196919	Find f(g(x))	f(x) = square root of x and g(x)=x+4	$f (x) = \sqrt{x}$ and $g (x) = x + 4$
196920	Solve for x	4x+y-5h=10y+u	$4 x + y - 5 h = 10 y + u$
196921	Find the Exact Value	fifth root of 1/32	$\sqrt[5]{\frac{1}{32}}$
196922	Solve the Inequality for x	(3-x)^2(x-7/2)<0	${(3 - x)}^{2} (x - \frac{7}{2}) < 0$
196923	Solve for x	(x+6)- natural log of 2x-1=1	$(x + 6) - \ln (2 x - 1) = 1$
196924	Solve the Inequality for x	\|1-6x\|-11<-8	$\| 1 - 6 x \| - 11 < - 8$
196925	Solve for c	7c^2-2c-15=-c^2	$7 c^{2} - 2 c - 15 = - c^{2}$
196926	Solve for x	5(x+2/5)=5	$5 (x + \frac{2}{5}) = 5$
196927	Simplify	-1/5(5x+20)-1/4(4x-28)	$- \frac{1}{5} (5 x + 20) - \frac{1}{4} (4 x - 28)$
196928	Solve for v	6v^2+13v-8=-3	$6 v^{2} + 13 v - 8 = - 3$
196929	Find g(f(x))	f(x)=x^2-4x+6 g(x)=-3x+1	$f (x) = x^{2} - 4 x + 6$ $g (x) = - 3 x + 1$
196930	Solve for x	(9-x)/(x^2)=4/(-3x)	$\frac{9 - x}{x^{2}} = \frac{4}{- 3 x}$
196931	Solve for q	q+14=8(q+7)	$q + 14 = 8 (q + 7)$
196932	Solve for n	n^2+5n+1=3n	$n^{2} + 5 n + 1 = 3 n$
196933	Solve the Inequality for x	\|x+3\|+2<=4	$\| x + 3 \| + 2 \leq 4$
196934	Solve for b	-3(2x^2+ax+b)=-6x^2+12x-15	$- 3 (2 x^{2} + a x + b) = - 6 x^{2} + 12 x - 15$
196935	Graph	g(x)=f(-2/3x)	$g (x) = f (- \frac{2}{3} x)$
196936	Find the Equation Using Slope-Intercept Form	(3,-2) with slope -2	$(3, - 2)$ with slope $- 2$
196937	Graph	r(x)=x^2+x-6	$r (x) = x^{2} + x - 6$
196938	Graph	y+3/4x<2 y-1>=2x	$y + \frac{3}{4} x < 2$ $y - 1 \geq 2 x$
196939	Divide	(-5/2)÷(-4)	$- \frac{5}{2} \div (- 4)$
196940	Evaluate	46/360(2pi*20)	$\frac{46}{360} (2 π \cdot 20)$
196941	Simplify	(2x^2-1+3x^3)+(5-13x-11x^2)	$(2 x^{2} - 1 + 3 x^{3}) + (5 - 13 x - 11 x^{2})$
196942	Find the End Behavior	f(x)=1-2x^2-x^3	$f (x) = 1 - 2 x^{2} - x^{3}$
196943	Find the Product	(x^5-3ay^2)^2	${(x^{5} - 3 a y^{2})}^{2}$
196944	Solve by Completing the Square	-6x^2-235=-48x+11	$- 6 x^{2} - 235 = - 48 x + 11$
196945	Factor	x^2y^3-2y^3-2x^2+4 ?	$x^{2} y^{3} - 2 y^{3} - 2 x^{2} + 4$ ?
196946	Factor	x^2+x-72=0	$x^{2} + x - 72 = 0$
196947	Find All Complex Solutions	6-6sin(theta)=4cos(theta)^2	$6 - 6 \sin (θ) = 4 \cos^{2} (θ)$
196948	Solve for x	(10^(x/6))(10^(x/8))=10^10	$(10^{\frac{x}{6}}) (10^{\frac{x}{8}}) = 10^{10}$
196949	Divide	(6a^2+a-2)÷(2a-1)	$(6 a^{2} + a - 2) \div (2 a - 1)$
196950	Solve for x	u=(x+y)/(kx)	$u = \frac{x + y}{k x}$
196951	Evaluate the Function	f(x)=3x+8 at x=4	$f (x) = 3 x + 8$ at $x = 4$
196952	Write in Slope-Intercept Form	(1,5) and (-1,7)	$(1, 5)$ and $(- 1, 7)$
196953	Solve for x	-4x+24=8-2/5(10x-60)	$- 4 x + 24 = 8 - \frac{2}{5} (10 x - 60)$
196954	Solve for b	-4(-5-b)=1/3(b+16)	$- 4 (- 5 - b) = \frac{1}{3} (b + 16)$
196955	Simplify	(6(2+4)-1)/(2*3+1)	$\frac{6 (2 + 4) - 1}{2 \cdot 3 + 1}$
196956	Solve for n	m=p/(2-n)	$m = \frac{p}{2 - n}$
196957	Solve for b	16b^2-8b-15=0	$16 b^{2} - 8 b - 15 = 0$
196958	Solve for x	(5x+6)/2=3-(4x+12)	$\frac{(5 x + 6)}{2} = 3 - (4 x + 12)$
196959	Find the x and y Intercepts	f(x)=(x-10)/(3x^2-51x+210)	$f (x) = \frac{x - 10}{3 x^{2} - 51 x + 210}$
196960	Divide	(1/2)÷(-1)	$\frac{1}{2} \div (- 1)$
196961	Solve for C	A=2/3(B-C)	$A = \frac{2}{3} (B - C)$
196962	Solve for y	6y^2+22y+12=5y	$6 y^{2} + 22 y + 12 = 5 y$
196963	Solve for y	2(y+6)=-3(2y-5)+29	$2 (y + 6) = - 3 (2 y - 5) + 29$
196964	Solve for s	L/(p(r+s))=n	$\frac{L}{p (r + s)} = n$
196965	Find the LCD	-2/(x+4) and (3x)/(2x+8)	$\frac{- 2}{x + 4}$ and $\frac{3 x}{2 x + 8}$
196966	Graph	x+7<7 or 5+2x>=7	$x + 7 < 7$ or $5 + 2 x \geq 7$
196967	Solve for x	-x=-2.8(3x+5)-2.6x	$- x = - 2.8 (3 x + 5) - 2.6 x$
196968	Solve for x	x/(x+1)-2/(1-x)=(2x)/(x-1)	$\frac{x}{x + 1} - \frac{2}{1 - x} = \frac{2 x}{x - 1}$
196969	Solve for a	a+6a-9=30	$a + 6 a - 9 = 30$
196970	Describe the Transformation	g(x)=-f(x)+2	$g (x) = - f (x) + 2$
196971	Solve for x	-3 = square root of 22-x- square root of 3x-3	$- 3 = \sqrt{22 - x} - \sqrt{3 x - 3}$
196972	Find the Product	(a+b)(a-2b)	$(a + b) (a - 2 b)$
196973	Evaluate Using the Given Value	2x^2-1 when x=3	$2 x^{2} - 1$ when $x = 3$
196974	Solve the Inequality for x	9x>=5x+3/2(-x-6)	$9 x \geq 5 x + \frac{3}{2} (- x - 6)$
196975	Simplify	(2+ cube root of 3)/( cube root of 6)	$\frac{2 + \sqrt[3]{3}}{\sqrt[3]{6}}$
196976	Solve for w	4w^2+28w+49=4	$4 w^{2} + 28 w + 49 = 4$
196977	Simplify	5/(2x-12)-20/(x^2-8x+12)	$\frac{5}{2 x - 12} - \frac{20}{x^{2} - 8 x + 12}$
196978	Solve for x	2(x-4)=4x+3x+12	$2 (x - 4) = 4 x + 3 x + 12$
196979	Evaluate	(-10x^2-10x+3)-(-4x^2-x)	$(- 10 x^{2} - 10 x + 3) - (- 4 x^{2} - x)$
196980	Graph Using a Table of Values	f(x)=(x-2)^2	$f (x) = {(x - 2)}^{2}$
196981	Solve for d	d/t=v	$\frac{d}{t} = v$
196982	Solve for x	x/(3-x)-(3-x)/x=3/x	$\frac{x}{3 - x} - \frac{3 - x}{x} = \frac{3}{x}$
196983	Graph	y=f(2x)+3	$y = f (2 x) + 3$
196984	Find the LCD	(8x)/(x-2) and (3x)/(x-1)	$\frac{8 x}{x - 2}$ and $\frac{3 x}{x - 1}$
196985	Simplify	cos(75 degrees )	$\cos (75 °)$
196986	Simplify	(-1/2)^2	${(\frac{- 1}{2})}^{2}$
196987	Solve for m	y=mx+5	$y = m x + 5$
196988	Solve for c	9c-1<4c-5	$9 c - 1 < 4 c - 5$
196989	Solve for x	1=-6-5(5.2x+5.2)+x	$1 = - 6 - 5 (5.2 x + 5.2) + x$
196990	Simplify	x/(x+1)*2/(x-1)	$\frac{x}{x + 1} \cdot \frac{2}{x - 1}$
196991	Graph	f(x)=-(x+2)/(x+4)	$f (x) = - \frac{x + 2}{x + 4}$
196992	Evaluate	(x^2-8x-6)-(x^2-2x)	$(x^{2} - 8 x - 6) - (x^{2} - 2 x)$
196993	Find the Exact Value	arccot(-1/( square root of 3))	$arccot (- \frac{1}{\sqrt{3}})$
196994	Graph	(x+4)^2(x^2-1)	${(x + 4)}^{2} (x^{2} - 1)$
196995	Factor	P(x)=2x^3-3x^2-2x+3	$P (x) = 2 x^{3} - 3 x^{2} - 2 x + 3$
196996	Find the Perpendicular Line	(8,-7) which is perpendicular to the line y=x/2-9	$(8, - 7)$ which is perpendicular to the line $y = \frac{x}{2} - 9$
196997	Solve for x	1/2(-4+6x)=1/3x+2/3(x+9)	$\frac{1}{2} (- 4 + 6 x) = \frac{1}{3} x + \frac{2}{3} (x + 9)$
196998	Solve for x	(2x+5)/(x+2)+2/(x-2)=x/(x-2)	$\frac{2 x + 5}{x + 2} + \frac{2}{x - 2} = \frac{x}{x - 2}$
196999	Simplify	1/4(x-2/5)-1/3(3/4x-1/2)	$\frac{1}{4} (x - \frac{2}{5}) - \frac{1}{3} (\frac{3}{4} x - \frac{1}{2})$
197000	Multiply	( square root of 3)/2*( square root of 2)/2	$\frac{\sqrt{3}}{2} \cdot \frac{\sqrt{2}}{2}$