Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194401	Simplify	square root of 36ab^4c^5	$\sqrt{36 a b^{4} c^{5}}$
194402	Simplify	(4n^4*n)^2	${(4 n^{4} \cdot n)}^{2}$
194403	Evaluate	(2m)/(2m+3)-(2m)/(2m-3)=1	$\frac{2 m}{2 m + 3} - \frac{2 m}{2 m - 3} = 1$
194404	Simplify	2/5 square root of -225	$\frac{2}{5} \sqrt{- 225}$
194405	Evaluate	a^2+3a^(-1/5)	$a^{2} + 3 a^{- \frac{1}{5}}$
194406	Find the Equation Using Slope-Intercept Form	(-5,4) ; slope -3	$(- 5, 4)$ ; slope $- 3$
194407	Solve for θ	sin(theta/2)=-1	$\sin (\frac{θ}{2}) = - 1$
194408	Solve the System of Equations	x+y=1 y=x^2-5	$x + y = 1$ $y = x^{2} - 5$
194409	Solve for a	A=a/360pir^2	$A = \frac{a}{360} π r^{2}$
194410	Solve for y	x+sy=t	$x + s y = t$
194411	Simplify	(2/3y^3+3/4y^2+1/2)+(1/3y^3+1/5y^2-1/6)	$(\frac{2}{3} y^{3} + \frac{3}{4} y^{2} + \frac{1}{2}) + (\frac{1}{3} y^{3} + \frac{1}{5} y^{2} - \frac{1}{6})$
194412	Multiply	(cos(theta))/(1-csc(theta))*(1+csc(theta))/(1+csc(theta))	$\frac{\cos (θ)}{1 - \csc (θ)} \cdot \frac{1 + \csc (θ)}{1 + \csc (θ)}$
194413	Solve for q	I=q/t	$I = \frac{q}{t}$
194414	Solve for n	a/(b(c+n))=K	$\frac{a}{b (c + n)} = K$
194415	Find f(g(x))	f(x)=(x+1)/2 g(x)=2x-1	$f (x) = \frac{x + 1}{2}$ $g (x) = 2 x - 1$
194416	Solve the Inequality for x	(x-3)/(x^2-16)<0	$\frac{x - 3}{x^{2} - 16} < 0$
194417	Solve for a	((x^2)^(1/3))/( cube root of x^5)=x^a	$\frac{{(x^{2})}^{\frac{1}{3}}}{\sqrt[3]{x^{5}}} = x^{a}$
194418	Simplify	236÷2(6+(8)(7)-3)	$236 \div 2 (6 + (8) (7) - 3)$
194419	Factor	(3x-2y)^2+8y(3x-2y)+16y^2	${(3 x - 2 y)}^{2} + 8 y (3 x - 2 y) + 16 y^{2}$
194420	Solve Using the Quadratic Formula	1/x+1/(x+4)=1/6	$\frac{1}{x} + \frac{1}{x + 4} = \frac{1}{6}$
194421	Solve the System of Equations	x+2y+z=-3 x-2y+2z=4 2x-y+z=5	$x + 2 y + z = - 3$ $x - 2 y + 2 z = 4$ $2 x - y + z = 5$
194422	Simplify	(4x^2y-5xy^2+2x^2y^2+2xy)+(2x^2y+4xy+2xy^2-2x^2y^2)	$(4 x^{2} y - 5 x y^{2} + 2 x^{2} y^{2} + 2 x y) + (2 x^{2} y + 4 x y + 2 x y^{2} - 2 x^{2} y^{2})$
194423	Solve for x	y=4 square root of x	$y = 4 \sqrt{x}$
194424	Evaluate	arcsin(cos(pi))	$\arcsin (\cos (π))$
194425	Evaluate	10 7/9+(-9 2/3)	$10 \frac{7}{9} + (- 9 \frac{2}{3})$
194426	Find the Product	(3m^3-1/2y)(3m^3-1/2y)	$(3 m^{3} - \frac{1}{2} y) (3 m^{3} - \frac{1}{2} y)$
194427	Solve for x	P=5(2x-6)	$P = 5 (2 x - 6)$
194428	Multiply	(x+3)/(10x+20)*(x+2)/(x^2+4x+3)	$\frac{x + 3}{10 x + 20} \cdot \frac{x + 2}{x^{2} + 4 x + 3}$
194429	Solve for b	12=-6 square root of b+4	$12 = - 6 \sqrt{b + 4}$
194430	Simplify	((4x^-2y^3)/(xy^-4))^-2	${(\frac{4 x^{- 2} y^{3}}{x y^{- 4}})}^{- 2}$
194431	Find the x and y Intercepts	y=x^3+x^2-9x-9	$y = x^{3} + x^{2} - 9 x - 9$
194432	Solve for x	2x^2+x=9x	$2 x^{2} + x = 9 x$
194433	Factor	x^2-7x=-12	$x^{2} - 7 x = - 12$
194434	Simplify	2/5(15x+10)-8x	$\frac{2}{5} (15 x + 10) - 8 x$
194435	Solve the Inequality for x	(3x+5)/(x-1)<2	$\frac{3 x + 5}{x - 1} < 2$
194436	Find the Domain and Range	f(x)=1/(\|x+3\|)	$f (x) = \frac{1}{\| x + 3 \|}$
194437	Write in Standard Form	y=-4(x+5)^2	$y = - 4 {(x + 5)}^{2}$
194438	Factor	-8x(-5x+1)^(3/5)-7(-5x+1)^(8/5)	$- 8 x {(- 5 x + 1)}^{\frac{3}{5}} - 7 {(- 5 x + 1)}^{\frac{8}{5}}$
194439	Evaluate	12-(20-2((6^2)÷3*2^2))	$12 - (20 - 2 (6^{2} \div 3 \cdot 2^{2}))$
194440	Simplify	4x(2x^2y)^0	$4 x {(2 x^{2} y)}^{0}$
194441	Find the Degree, Leading Term, and Leading Coefficient	P(x)=3x^4-7x^2-2x^7-x+4	$P (x) = 3 x^{4} - 7 x^{2} - 2 x^{7} - x + 4$
194442	Simplify	5(24^(1/3))-4*3^(1/3)	$5 (24^{\frac{1}{3}}) - 4 \cdot 3^{\frac{1}{3}}$
194443	Graph	y=x^2+3,x>=4; x+4,x<4	$y = {\begin{cases} x^{2} + 3, x \geq 4 \\ x + 4, x < 4 \end{cases}$
194444	Simplify	(3x-4)(x+7)-1/4x^2	$(3 x - 4) (x + 7) - \frac{1}{4} x^{2}$
194445	Solve for x	(x+3)/(x+4)+3/x=3/(x^2+4x)	$\frac{x + 3}{x + 4} + \frac{3}{x} = \frac{3}{x^{2} + 4 x}$
194446	Simplify	((x/4)-3)/(9(x/4)-5)	$\frac{(\frac{x}{4}) - 3}{9 (\frac{x}{4}) - 5}$
194447	Simplify	(x^3-2x^2+3)+(2x^3+3x^2-1)	$(x^{3} - 2 x^{2} + 3) + (2 x^{3} + 3 x^{2} - 1)$
194448	Factor	a^4b^2-6a^2bc+9c^2	$a^{4} b^{2} - 6 a^{2} b c + 9 c^{2}$
194449	Solve the Inequality for x	-1/5x<=-8x-(-5x-4)-1	$- \frac{1}{5} x \leq - 8 x - (- 5 x - 4) - 1$
194450	Solve for θ	tan(theta)=- square root of 2sin(theta)	$\tan (θ) = - \sqrt{2} \sin (θ)$
194451	Solve for x	-(1/2x+3)-3=-9-1/5x	$- (\frac{1}{2} x + 3) - 3 = - 9 - \frac{1}{5} x$
194452	Solve the System of Equations	3+2x-y=0 -3-7y=10x	$3 + 2 x - y = 0$ $- 3 - 7 y = 10 x$
194453	Simplify	12 root of x^6	$\sqrt[12]{x^{6}}$
194454	Find the Roots (Zeros)	x+5	$x + 5$
194455	Simplify	2 cube root of 4*2 cube root of 2	$2 \sqrt[3]{4} \cdot 2 \sqrt[3]{2}$
194456	Simplify	(4x)/(x^2+9x+18)+5/(x+6)	$\frac{4 x}{x^{2} + 9 x + 18} + \frac{5}{x + 6}$
194457	Find All Complex Solutions	sin(theta)=3/5	$\sin (θ) = \frac{3}{5}$
194458	Find the End Behavior	f(x)=-7x^2+147-28x	$f (x) = - 7 x^{2} + 147 - 28 x$
194459	Simplify	(-5t^3+4t^2-t)-(8t^2+t)	$(- 5 t^{3} + 4 t^{2} - t) - (8 t^{2} + t)$
194460	Simplify	( cube root of x)/( square root of x)	$\frac{\sqrt[3]{x}}{\sqrt{x}}$
194461	Solve for k	51-3+5k=58	$51 - 3 + 5 k = 58$
194462	Find the Midpoint	(-2/3,1/3) and (-10/3,-7/3)	$(- \frac{2}{3}, \frac{1}{3})$ and $(- \frac{10}{3}, - \frac{7}{3})$
194463	Simplify	(12÷3*3)^2	${(12 \div 3 \cdot 3)}^{2}$
194464	Rationalize the Denominator	( square root of 3+ square root of 5)/( square root of 7-1)	$\frac{\sqrt{3} + \sqrt{5}}{\sqrt{7} - 1}$
194465	Find the Degree, Leading Term, and Leading Coefficient	f(x)=7x^4+x^2+6x^3+7x^5	$f (x) = 7 x^{4} + x^{2} + 6 x^{3} + 7 x^{5}$
194466	Graph	f(x)=3^x and g(x)=3^(-x)	$f (x) = 3^{x}$ and $g (x) = 3^{- x}$
194467	Solve for d	10d-5>11d-2	$10 d - 5 > 11 d - 2$
194468	Write in Standard Form	x^2+2x=13	$x^{2} + 2 x = 13$
194469	Find All Complex Solutions	x(x+3)=28	$x (x + 3) = 28$
194470	Graph Using a Table of Values	f(x)=-5/2(2)^x	$f (x) = - \frac{5}{2} {(2)}^{x}$
194471	Evaluate	-2/3+(-1/8)	$- \frac{2}{3} + (- \frac{1}{8})$
194472	Solve for t	9t^2-4t+1=5t^2	$9 t^{2} - 4 t + 1 = 5 t^{2}$
194473	Evaluate	b^2-4ac>0	$b^{2} - 4 a c > 0$
194474	Solve for d	19d-8d=44	$19 d - 8 d = 44$
194475	Solve the Inequality for x	\|11-x\|<20	$\| 11 - x \| < 20$
194476	Solve the Inequality for y	-2x+3y>=3	$- 2 x + 3 y \geq 3$
194477	Graph	f(x)=1/(1+e^(-x))	$f (x) = \frac{1}{1 + e^{- x}}$
194478	Write Using Negative Exponents	1/125	$\frac{1}{125}$
194479	Solve for x	-8/(x+4)-2/3=2	$\frac{- 8}{x + 4} - \frac{2}{3} = 2$
194480	Graph	y=3x+3 y=x+5	$y = 3 x + 3$ $y = x + 5$
194481	Graph	y=1/2csc(x)	$y = \frac{1}{2} \csc (x)$
194482	Solve the Inequality for x	-5-(x+4)/5>11-3x	$- 5 - \frac{x + 4}{5} > 11 - 3 x$
194483	Find the Degree, Leading Term, and Leading Coefficient	g(x) = square root of 3-12x+13x^2	$g (x) = \sqrt{3} - 12 x + 13 x^{2}$
194484	Graph	y=x/(x^2+2x+1)	$y = \frac{x}{x^{2} + 2 x + 1}$
194485	Solve for x	x-(3-x)=7-(x+2)	$x - (3 - x) = 7 - (x + 2)$
194486	Solve for p	2p-4<-3p-7	$2 p - 4 < - 3 p - 7$
194487	Solve for x	-(2x+1)-1/2=1/2-(5x-1)	$- (2 x + 1) - \frac{1}{2} = \frac{1}{2} - (5 x - 1)$
194488	Solve Using the Quadratic Formula	(-3+- square root of (3)^2+4(10)(2))/(2(10))	$\frac{- 3 + - \sqrt{{(3)}^{2} + 4 (10) (2)}}{2 (10)}$
194489	Simplify	(b^2+b-30)/(3b^2+18b)	$\frac{b^{2} + b - 30}{3 b^{2} + 18 b}$
194490	Graph	p(x)=(x-1)^2(2x+7)^2(x+1)	$p (x) = {(x - 1)}^{2} {(2 x + 7)}^{2} (x + 1)$
194491	Find the Degree	2x^4-3x^5+x	$2 x^{4} - 3 x^{5} + x$
194492	Simplify	((2a-b)/b+1)/((2a+b)/b-1)	$\frac{\frac{2 a - b}{b} + 1}{\frac{2 a + b}{b} - 1}$
194493	Solve for x	4^(12x+2)>=4^(6x+20)	$4^{12 x + 2} \geq 4^{6 x + 20}$
194494	Solve the Inequality for x	8(-x-3/2)-1>=7	$8 (- x - \frac{3}{2}) - 1 \geq 7$
194495	Solve for x	2x+1/3x=21	$2 x + \frac{1}{3} x = 21$
194496	Write Using Positive Exponents	5x^(-1/3)y^(-3/4)x^(-1/2)	$5 x^{- \frac{1}{3}} y^{- \frac{3}{4}} x^{- \frac{1}{2}}$
194497	Solve for t	-6>t-(-13)	$- 6 > t - (- 13)$
194498	Simplify	(-8x^4)/( square root of x)	$\frac{- 8 x^{4}}{\sqrt{x}}$
194499	Find the Holes in the Graph	f(x)=(2x+2)/(x^3+x^2)	$f (x) = \frac{2 x + 2}{x^{3} + x^{2}}$
194500	Solve for x	-6<=-7+x	$- 6 \leq - 7 + x$