Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217201	Solve for x	4/(x^2-3x-4)=1/(x-4)+1/(x^2-3x-4)	$\frac{4}{x^{2} - 3 x - 4} = \frac{1}{x - 4} + \frac{1}{x^{2} - 3 x - 4}$
217202	Solve for x	16^(2x-1)*(1/4)^(x+2)=8^(-x)	$16^{2 x - 1} \cdot {(\frac{1}{4})}^{x + 2} = 8^{- x}$
217203	Evaluate Using the Given Value	3n at n=11	$3 n$ at $n = 11$
217204	Write in y=mx+b Form	(3,-1) and (4,7)	$(3, - 1)$ and $(4, 7)$
217205	Graph	f(x)=(-2x^2+10x)/(4x-20)	$f (x) = \frac{- 2 x^{2} + 10 x}{4 x - 20}$
217206	Evaluate	2/(2(-3)-1)	$\frac{2}{2 (- 3) - 1}$
217207	Solve the Inequality for x	6<6(-2+x)	$6 < 6 (- 2 + x)$
217208	Evaluate Using Scientific Notation	(7.29610^2)÷9.610^-9	$7.296 \times 10^{2} \div 9.6 \times 10^{- 9}$
217209	Simplify	((x^2-6x+8)/(2-x)*(x^2+x-2)/(3x^3-48x))÷((1-x^2)/(-x-1))	$\frac{x^{2} - 6 x + 8}{2 - x} \cdot \frac{x^{2} + x - 2}{3 x^{3} - 48 x} \div \frac{1 - x^{2}}{- x - 1}$
217210	Solve the System of Equations	y=3x^2+x-206 2x+y=10	$y = 3 x^{2} + x - 206$ $2 x + y = 10$
217211	Simplify	3(8-4)^2+7*9	$3 {(8 - 4)}^{2} + 7 \cdot 9$
217212	Evaluate	(3n^3+2n-7)-(n^3-n-2)	$(3 n^{3} + 2 n - 7) - (n^{3} - n - 2)$
217213	Simplify	- square root of 25* fifth root of -32	$- \sqrt{25} \cdot \sqrt[5]{- 32}$
217214	Write the Fraction in Simplest Form	((-3x^5m^-3)^5)/(12x^-1m^2)	$\frac{{(- 3 x^{5} m^{- 3})}^{5}}{12 x^{- 1} m^{2}}$
217215	Convert to a Decimal	108deg	$108$ degrees
217216	Graph	square root of c+28- square root of c<=2	$\sqrt{c + 28} - \sqrt{c} \leq 2$
217217	Solve for x	e^x=y	$e^{x} = y$
217218	Graph	cos(theta)>0 and sin(theta)<0	$\cos (θ) > 0$ and $\sin (θ) < 0$
217219	Solve for x	2x^4-6x^3=12x^2-36x	$2 x^{4} - 6 x^{3} = 12 x^{2} - 36 x$
217220	Evaluate	1/2(3)^2(2pi)/3	$\frac{1}{2} {(3)}^{2} \frac{2 π}{3}$
217221	Solve for x	(2/3)^(5x+1)=(27/8)^(x-4)	${(\frac{2}{3})}^{5 x + 1} = {(\frac{27}{8})}^{x - 4}$
217222	Solve for k	64^(1/3)=2^k	$64^{\frac{1}{3}} = 2^{k}$
217223	Graph	A(x)=400(b)^x+0	$A (x) = 400 {(b)}^{x} + 0$
217224	Divide	(5x^4y^2+20xy^6-10x)/(5xy^2)	$\frac{(5 x^{4} y^{2} + 20 x y^{6} - 10 x)}{5 x y^{2}}$
217225	Solve the Rational Equation for x	-6-(4x)/(x+2)=8/(x+2)	$- 6 - \frac{4 x}{x + 2} = \frac{8}{x + 2}$
217226	Find the x and y Intercepts	f(x)=(5+2x)/(1+x)	$f (x) = \frac{5 + 2 x}{1 + x}$
217227	Simplify	2(x+9)<10	$2 (x + 9) < 10$
217228	Factor	Factor x^2-12x+20	Factor $x^{2} - 12 x + 20$
217229	Write in Standard Form	-2(4v^2+5v)+v(v^2+6v)	$- 2 (4 v^{2} + 5 v) + v (v^{2} + 6 v)$
217230	Simplify	(3x)/(2(x-1))+4/(x-1)	$\frac{3 x}{2 (x - 1)} + \frac{4}{x - 1}$
217231	Solve for r	8/r=96	$\frac{8}{r} = 96$
217232	Find the End Behavior	f(x)=x^5-6x^4+8x^3+6x^2-9x	$f (x) = x^{5} - 6 x^{4} + 8 x^{3} + 6 x^{2} - 9 x$
217233	Simplify	(x^-8)/(-11x^7)	$\frac{x^{- 8}}{- 11 x^{7}}$
217234	Graph	table[[x,f(x)],[-4,-8],[-2,5],[-1,3],[0,0],[1,-3],[2,-5],[4,8]]	$\begin{array}{c} x & f (x) \\ - 4 & - 8 \\ - 2 & 5 \\ - 1 & 3 \\ 0 & 0 \\ 1 & - 3 \\ 2 & - 5 \\ 4 & 8 \end{array}$
217235	Simplify	5y+7x-3(2x-4y+6)	$5 y + 7 x - 3 (2 x - 4 y + 6)$
217236	Simplify the Radical Expression	(y^(-1/2))^4	${(y^{- \frac{1}{2}})}^{4}$
217237	Find the Roots (Zeros)	f(x)=2-4sin(x)	$f (x) = 2 - 4 \sin (x)$
217238	Write in Standard Form	(-5x-6)-(4x^2+6)	$(- 5 x - 6) - (4 x^{2} + 6)$
217239	Simplify	square root of 14- square root of 2/7	$\sqrt{14} - \sqrt{\frac{2}{7}}$
217240	Find the LCM	5 and 15	$5$ and $15$
217241	Determine the Number of Significant Figures	6.022*10^23	$6.022 \cdot 10^{23}$
217242	Divide	1/2( square root of 3)/2	$\frac{1}{2} \cdot \frac{\sqrt{3}}{2}$
217243	Evaluate	(5x)/7-(7x)/5=24/35	$\frac{5 x}{7} - \frac{7 x}{5} = \frac{24}{35}$
217244	Graph	f(x)=0.3^X	$f (x) = {0.3}^{X}$
217245	Solve for x	x/(x-1)=1/3	$\frac{x}{x - 1} = \frac{1}{3}$
217246	Find the Complex Conjugate	1/2+3/2i	$\frac{1}{2} + \frac{3}{2} i$
217247	Graph	f(x)=(-3x+12)/(x^2-4x)	$f (x) = \frac{- 3 x + 12}{x^{2} - 4 x}$
217248	Evaluate	2/3 square root of x=6	$\frac{2}{3} \sqrt{x} = 6$
217249	Multiply	(2(x+3))/(x(x-1))*(4x(x+2))/(10(x+3))	$\frac{2 (x + 3)}{x (x - 1)} \cdot \frac{4 x (x + 2)}{10 (x + 3)}$
217250	Simplify	square root of 45x^4y^7	$\sqrt{45} x^{4} y^{7}$
217251	Multiply	1/2x*1/2x	$\frac{1}{2} x \cdot \frac{1}{2} x$
217252	Subtract	(x+2)/(x-6)-(x^2+5x+14)/(x^2-2x-24)	$\frac{x + 2}{x - 6} - \frac{x^{2} + 5 x + 14}{x^{2} - 2 x - 24}$
217253	Solve for u	6/(3u-18)-3=2/(u-6)	$\frac{6}{3 u - 18} - 3 = \frac{2}{u - 6}$
217254	Graph	y>-x-1y	$y > - x - 1 y$
217255	Find the LCD	(3x)/(2x+8) and -2/(x+4)	$\frac{3 x}{2 x + 8}$ and $\frac{- 2}{x + 4}$
217256	Simplify	(8+i^8)+(3-i^6)	$(8 + i^{8}) + (3 - i^{6})$
217257	Solve the Rational Equation for x	2+ square root of x+1- square root of x+5=0	$2 + \sqrt{x + 1} - \sqrt{x + 5} = 0$
217258	Write in Standard Form	(-10x^2+9x)-(-6x+4)	$(- 10 x^{2} + 9 x) - (- 6 x + 4)$
217259	Graph	5x+3y<-6 x+3y>=6	$5 x + 3 y < - 6$ $x + 3 y \geq 6$
217260	Simplify	(-2x^5y)^4*(-3x^-4y^2)^2	${(- 2 x^{5} y)}^{4} \cdot {(- 3 x^{- 4} y^{2})}^{2}$
217261	Simplify	(12/(10x-40))/(4/(2x-8))	$\frac{\frac{12}{10 x - 40}}{\frac{4}{2 x - 8}}$
217262	Solve the System of Equations	x-y+z=14 y+z=15 z=7	$x - y + z = 14$ $y + z = 15$ $z = 7$
217263	Simplify the Radical Expression	3 square root of 40a^3+2 square root of 160a^3-a square root of 360a	$3 \sqrt{40 a^{3}} + 2 \sqrt{160 a^{3}} - a \sqrt{360 a}$
217264	Solve the Inequality for x	x^2+4<=4x	$x^{2} + 4 \leq 4 x$
217265	Solve the System of Equations	4x-2y+3z=-3 2x-3y+2z=1 6x+10z=-2	$4 x - 2 y + 3 z = - 3$ $2 x - 3 y + 2 z = 1$ $6 x + 10 z = - 2$
217266	Simplify	(5e^x)/(e^(5x))	$\frac{5 e^{x}}{e^{5 x}}$
217267	Solve for x	x+x+x=180	$x + x + x = 180$
217268	Factor	x^4-2x^3-5x^2+6x	$x^{4} - 2 x^{3} - 5 x^{2} + 6 x$
217269	Solve the System of Equations	-5x-3y+z=-4 -2x-2y+2z=4 z=x+5	$- 5 x - 3 y + z = - 4$ $- 2 x - 2 y + 2 z = 4$ $z = x + 5$
217270	Solve for x	x-2 = square root of 3/2x-2	$x - 2 = \sqrt{\frac{3}{2} x - 2}$
217271	Find the End Behavior	y=5-17x^7+9x^10	$y = 5 - 17 x^{7} + 9 x^{10}$
217272	Solve the Inequality for x	2x^2+10x-8>7x-6	$2 x^{2} + 10 x - 8 > 7 x - 6$
217273	Find the Exact Value	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
217274	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(- 4, 8)$ and has a slope of $- \frac{1}{4}$ ?
217275	Solve for y	x-(y+2)=2(2x+1)	$x - (y + 2) = 2 (2 x + 1)$
217276	Solve for x	(3^(x-2))/(3^4)=1/9	$\frac{3^{x - 2}}{3^{4}} = \frac{1}{9}$
217277	Evaluate	square root of 4x+5=3+ square root of 2x-6	$\sqrt{4 x + 5} = 3 + \sqrt{2 x - 6}$
217278	Solve for x	(2x+3)/5=y	$\frac{2 x + 3}{5} = y$
217279	Solve Over the Interval	4sin(theta)^2-3=0 , 0<=theta<2pi	$4 \sin^{2} (θ) - 3 = 0$ , $0 \leq θ < 2 π$
217280	Graph	\|n/4\|<=3	$\| \frac{n}{4} \| \leq 3$
217281	Write in Standard Form	(6.410^7)/(1.610^5)	$\frac{(6.4 \cdot 10^{7})}{(1.6 \cdot 10^{5})}$
217282	Simplify	(-7-2 square root of 5)+(6+8 square root of 5)	$(- 7 - 2 \sqrt{5}) + (6 + 8 \sqrt{5})$
217283	Solve for t	8-1/t=7/(t^2)	$8 - \frac{1}{t} = \frac{7}{t^{2}}$
217284	Solve by Substitution	-3x+5y=-4 -x+y=0	$- 3 x + 5 y = - 4$ $- x + y = 0$
217285	Simplify	(x^(a-1)y^b)/(x^ay^(b-1))	$\frac{x^{a - 1} y^{b}}{x^{a} y^{b - 1}}$
217286	Simplify the Radical Expression	( square root of 21)/( square root of 15)	$\frac{\sqrt{21}}{\sqrt{15}}$
217287	Solve for a	3(a-6)=-5a-(7+3a)	$3 (a - 6) = - 5 a - (7 + 3 a)$
217288	Simplify	( fourth root of 81x^2y)/(2x^-1y)	$\frac{\sqrt[4]{81 x^{2} y}}{2 x^{- 1} y}$
217289	Simplify	(d^-4)/(e^-7)	$\frac{d^{- 4}}{e^{- 7}}$
217290	Divide	(8x^3+22x^2-163x-44)(x+6)^-1	$(8 x^{3} + 22 x^{2} - 163 x - 44) {(x + 6)}^{- 1}$
217291	Evaluate	((6^-2x^5)/(6^-3x^-5))	$(\frac{6^{- 2} x^{5}}{6^{- 3} x^{- 5}})$
217292	Simplify	(3^(1/5))/( fifth root of -96)	$\frac{3^{\frac{1}{5}}}{\sqrt[5]{- 96}}$
217293	Solve for d	t = square root of (2d)/a	$t = \sqrt{\frac{2 d}{a}}$
217294	Solve the Rational Equation for x	(17-3x)/((x-3)(x-4))=(x+1)/(x-4)	$\frac{17 - 3 x}{(x - 3) (x - 4)} = \frac{x + 1}{x - 4}$
217295	Multiply	4x^2(2x^3-4x^2+x)	$4 x^{2} (2 x^{3} - 4 x^{2} + x)$
217296	Write in Standard Form	f(x)=2(x+9)(x+5)	$f (x) = 2 (x + 9) (x + 5)$
217297	Solve for t	10^(2t)=9 ?	$10^{2 t} = 9$ ?
217298	Solve for x	(1/16)^(3x-4)<=64^(x-1)	${(\frac{1}{16})}^{3 x - 4} \leq 64^{x - 1}$
217299	Find the Exact Value	2/5(1/3+1/2)	$\frac{2}{5} (\frac{1}{3} + \frac{1}{2})$
217300	Simplify	(1+3i)^2*(2+i)	${(1 + 3 i)}^{2} \cdot (2 + i)$