Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185201	Solve for b	b = square root of 2b^2-64	$b = \sqrt{2 b^{2} - 64}$
185202	Multiply	(x^2-4)/(x^2-4x+4)*(2x-4)/(x+2)	$\frac{x^{2} - 4}{x^{2} - 4 x + 4} \cdot \frac{2 x - 4}{x + 2}$
185203	Simplify	(2x^5-50x^3)/(x^2+4x-45)*(x^2-81)/(6x^2-24x-270)	$\frac{2 x^{5} - 50 x^{3}}{x^{2} + 4 x - 45} \cdot \frac{x^{2} - 81}{6 x^{2} - 24 x - 270}$
185204	Solve the Absolute Value Inequality for w	-2\|5w-7\|+9=-7	$- 2 \| 5 w - 7 \| + 9 = - 7$
185205	Simplify	(2xy)(-4x^2)+(6x)(6x^2y)	$(2 x y) (- 4 x^{2}) + (6 x) (6 x^{2} y)$
185206	Evaluate	3+3x-1=x+2+2x	$3 + 3 x - 1 = x + 2 + 2 x$
185207	Solve the Inequality for x	x(2x-3)<5x<3x(x+7)	$x (2 x - 3) < 5 x < 3 x (x + 7)$
185208	Solve for p	8+9p=9p-7	$8 + 9 p = 9 p - 7$
185209	Solve for x	1/2\|x-3\|=-2	$\frac{1}{2} \| x - 3 \| = - 2$
185210	Solve for x	4 = cube root of 6x+10	$4 = \sqrt[3]{6 x + 10}$
185211	Solve for c	1/5=5^(2c+3)	$\frac{1}{5} = 5^{2 c + 3}$
185212	Find the Holes in the Graph	(x^2+4x)/(2x^2-5x)	$\frac{x^{2} + 4 x}{2 x^{2} - 5 x}$
185213	Graph	y>x y<4	$y > x$ $y < 4$
185214	Find the LCM	5 and 8	$5$ and $8$
185215	Solve the System of Equations	C=5/9(F-32) F=9/5C+32	$C = \frac{5}{9} (F - 32)$ $F = \frac{9}{5} C + 32$
185216	Simplify	((2x^2y)/(6y^3z)*(8x^2y^2z^2)/(7z^3))÷((9x)/(14x^2y))	$\frac{2 x^{2} y}{6 y^{3} z} \cdot \frac{8 x^{2} y^{2} z^{2}}{7 z^{3}} \div \frac{9 x}{14 x^{2} y}$
185217	Graph	4\|x\|-1<-4	$4 \| x \| - 1 < - 4$
185218	Simplify	(5^3*5^2)^4	${(5^{3} \cdot 5^{2})}^{4}$
185219	Find the Product	( square root of 12+ square root of 6)( square root of 6- square root of 10)	$(\sqrt{12} + \sqrt{6}) (\sqrt{6} - \sqrt{10})$
185220	Evaluate	(-5tw^2)/(-10t^2w)	$\frac{(- 5 t w^{2})}{(- 10 t^{2} w)}$
185221	Find the Roots (Zeros)	x^4-x^3-7x^2+x+6=0	$x^{4} - x^{3} - 7 x^{2} + x + 6 = 0$
185222	Divide	((x+2)/(2x+7))÷((x^4)/(x-2))	$\frac{x + 2}{2 x + 7} \div \frac{x^{4}}{x - 2}$
185223	Simplify	(x(x-3)(x+6))/(x^2+x-12)	$\frac{x (x - 3) (x + 6)}{x^{2} + x - 12}$
185224	Solve the Inequality for x	2(4x+1)<3(2x-3)	$2 (4 x + 1) < 3 (2 x - 3)$
185225	Graph	f(x)=(x-1)(x^2-2)	$f (x) = (x - 1) (x^{2} - 2)$
185226	Find the Excluded Values	(x^2+4x+4)/(x^2-4)	$\frac{x^{2} + 4 x + 4}{x^{2} - 4}$
185227	Evaluate	4/3pi*1.5^3	$\frac{4}{3} π \cdot {1.5}^{3}$
185228	Solve for x	0=x(x-6)	$0 = x (x - 6)$
185229	Factor	7x(3x^2-7)-3(x^2-7)	$7 x (3 x^{2} - 7) - 3 (x^{2} - 7)$
185230	Solve the Inequality for m	8m-9>71	$8 m - 9 > 71$
185231	Find All Complex Solutions	2cos(3x)=1	$2 \cos (3 x) = 1$
185232	Solve the Inequality for x	(x-3)/(x-2)-(x-5)/(x-3)>0	$\frac{x - 3}{x - 2} - \frac{x - 5}{x - 3} > 0$
185233	Solve for x	8^(12-4x)=4^(x+18)	$8^{12 - 4 x} = 4^{x + 18}$
185234	Find the Exact Value	cos(pi/4)-sin(pi/4)	$\cos (\frac{π}{4}) - \sin (\frac{π}{4})$
185235	Write as a Single Logarithm	4 log of 3	$4 \log (3)$
185236	Solve for v	10+v-17v=4	$10 + v - 17 v = 4$
185237	Solve for x	x/3-2=5/3x+7	$\frac{x}{3} - 2 = \frac{5}{3} x + 7$
185238	Simplify	(4x^2+x)-(x^2-2x)	$(4 x^{2} + x) - (x^{2} - 2 x)$
185239	Simplify	square root of 7^3* square root of 7	$\sqrt{7^{3}} \cdot \sqrt{7}$
185240	Solve for a	(x^3)^(1/2) square root of x^5=x^a	${(x^{3})}^{\frac{1}{2}} \sqrt{x^{5}} = x^{a}$
185241	Simplify	-4x^2 square root of 5x^2-x^3 square root of 180	$- 4 x^{2} \sqrt{5 x^{2}} - x^{3} \sqrt{180}$
185242	Factor	x^2-2xy	$x^{2} - 2 x y$
185243	Simplify	(-5m^2-8)-(-3m^2+m+2)	$(- 5 m^{2} - 8) - (- 3 m^{2} + m + 2)$
185244	Graph	f(x)<=1	$f (x) \leq 1$
185245	Graph	f(x)=x-5 if x<=3; -2 if x>3	$f (x) = {\begin{cases} x - 5 & x \leq 3 \\ - 2 & x > 3 \end{cases}$
185246	Solve for r	16=9-4(2r+7)-1	$16 = 9 - 4 (2 r + 7) - 1$
185247	Solve for x	(x^2+4x)^2-17(x^2+4x)=-60	${(x^{2} + 4 x)}^{2} - 17 (x^{2} + 4 x) = - 60$
185248	Find the x and y Intercepts	f(x)=2(x+3)(3x^2+2)	$f (x) = 2 (x + 3) (3 x^{2} + 2)$
185249	Divide	3 3/4÷2	$3 \frac{3}{4} \div 2$
185250	Simplify	(6-2.7h)+(-1.3j-4)	$(6 - 2.7 h) + (- 1.3 j - 4)$
185251	Find the Exact Value	cot(-pi/8)	$\cot (- \frac{π}{8})$
185252	Solve for x	(4-2x)/3=7x+4	$\frac{4 - 2 x}{3} = 7 x + 4$
185253	Solve for x	9(7-5x)^2-3=22	$9 {(7 - 5 x)}^{2} - 3 = 22$
185254	Find the Roots (Zeros)	0=x^4-3x^3+8x^2-18x+12	$0 = x^{4} - 3 x^{3} + 8 x^{2} - 18 x + 12$
185255	Find the Exact Value	16^(1/4)	$16^{\frac{1}{4}}$
185256	Solve the Absolute Value Inequality for x	\|3x-4\|=x	$\| 3 x - 4 \| = x$
185257	Solve the Inequality for x	3(2x-1)>4x-2	$3 (2 x - 1) > 4 x - 2$
185258	Solve for x	1/(x^2-1)=1	$\frac{1}{x^{2} - 1} = 1$
185259	Solve for x	8/(-5x)=(-2x)/5	$\frac{8}{- 5 x} = \frac{- 2 x}{5}$
185260	Factor	ax^2+a	$a x^{2} + a$
185261	Multiply	2 , 5^2	$2$ , $5^{2}$
185262	Solve the Inequality for B	16+8B>=50	$16 + 8 B \geq 50$
185263	Solve for x	x(x+1)(x+3)=2(x+3)	$x (x + 1) (x + 3) = 2 (x + 3)$
185264	Find the End Behavior	f(x)=-2(x+4)(x-3)	$f (x) = - 2 (x + 4) (x - 3)$
185265	Solve for x	2(3x-2)+9=-5x	$2 (3 x - 2) + 9 = - 5 x$
185266	Simplify	(32^2x^4y^12)^(1/5)	${(32^{2} x^{4} y^{12})}^{\frac{1}{5}}$
185267	Solve for θ	2+2sin(theta)=4cos(theta)^2	$2 + 2 \sin (θ) = 4 \cos^{2} (θ)$
185268	Multiply	4 square root of 2*4 square root of 2	$4 \sqrt{2} \cdot 4 \sqrt{2}$
185269	Find the Function	f(x)=-8	$f (x) = - 8$
185270	Solve for C	C=5/9(95-32)	$C = \frac{5}{9} (95 - 32)$
185271	Simplify	(4/(x^3))÷(1/(x^2))	$\frac{4}{x^{3}} \div \frac{1}{x^{2}}$
185272	Find the x and y Intercepts	f(x)=-2(4x^2+2)^2(x-6)	$f (x) = - 2 {(4 x^{2} + 2)}^{2} (x - 6)$
185273	Simplify	(12a^4b^6)/(36ab^2c)	$\frac{12 a^{4} b^{6}}{36 a b^{2} c}$
185274	Divide	(6x^2)÷2x	$6 x^{2} \div 2 x$
185275	Simplify	(x^5-7x^4-30x^3)/(x^2+10x+21)*(4x^2-196)/(4x^3-68x^2+280x)	$\frac{x^{5} - 7 x^{4} - 30 x^{3}}{x^{2} + 10 x + 21} \cdot \frac{4 x^{2} - 196}{4 x^{3} - 68 x^{2} + 280 x}$
185276	Find the Exact Value	3/( square root of 3)	$\frac{3}{\sqrt{3}}$
185277	Simplify	(sec(theta)-csc(theta))(cos(theta)+sin(theta))	$(\sec (θ) - \csc (θ)) (\cos (θ) + \sin (θ))$
185278	Solve the Inequality for x	9>=(1+x)/2	$9 \geq \frac{1 + x}{2}$
185279	Graph	y=1/2(x-2)^2	$y = \frac{1}{2} {(x - 2)}^{2}$
185280	Find the Exact Value	square root of 289	$\sqrt{289}$
185281	Simplify	(b^-17b^11)/(b^-5)	$\frac{b^{- 17} b^{11}}{b^{- 5}}$
185282	Solve for x	4x-6>=6x-20	$4 x - 6 \geq 6 x - 20$
185283	Evaluate	(1-0)^2	${(1 - 0)}^{2}$
185284	Simplify	-5x square root of 192x^3+ square root of 3x^5	$- 5 x \sqrt{192 x^{3}} + \sqrt{3 x^{5}}$
185285	Solve the System of Equations	f(x)=x^2-2x+3 , f(x)=-x+5	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - x + 5$
185286	Graph	f(x)=x+1 for x<=0	$f (x) = x + 1$ for $x \leq 0$
185287	Evaluate	cos(x)^2-1=0	$\cos^{2} (x) - 1 = 0$
185288	Find the Exact Value	(3/2)^-2	${(\frac{3}{2})}^{- 2}$
185289	Find the x and y Intercepts	f(x)=e^(-x)	$f (x) = e^{- x}$
185290	Find the Distance Between Two Points	(8,-9) and (2,-7)	$(8, - 9)$ and $(2, - 7)$
185291	Graph	y=((x-2)^2)/((x-1)^2)	$y = \frac{{(x - 2)}^{2}}{{(x - 1)}^{2}}$
185292	Simplify	(-4mn)^3*(-2m^2)^3	${(- 4 m n)}^{3} \cdot {(- 2 m^{2})}^{3}$
185293	Simplify the Radical Expression	square root of 147m^3n^3	$\sqrt{147 m^{3} n^{3}}$
185294	Solve the Inequality for b	8-1/4b>=27	$8 - \frac{1}{4} b \geq 27$
185295	Convert to a Decimal	11 5/10	$11 \frac{5}{10}$
185296	Solve for x	5x^2+x=0	$5 x^{2} + x = 0$
185297	Simplify	(4+3x^2+8x^3)+(-7x^3+12x^5+6x^2)	$(4 + 3 x^{2} + 8 x^{3}) + (- 7 x^{3} + 12 x^{5} + 6 x^{2})$
185298	Simplify	(2d^7)/(-4d^9d^5)	$\frac{2 d^{7}}{- 4 d^{9} d^{5}}$
185299	Divide	x^3-4x^2+x entre x	$x^{3} - 4 x^{2} + x$ entre $x$
185300	Convert to a Decimal	255deg	$255$ degrees