Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9501	Evaluate	500000+500000((1-(1+0.08)^-19)/0.08)	$500000 + 500000 (\frac{1 - {(1 + 0.08)}^{- 19}}{0.08})$
9502	Evaluate	500000+500000((1-(1+0.14)^-19)/0.14)	$500000 + 500000 (\frac{1 - {(1 + 0.14)}^{- 19}}{0.14})$
9503	Evaluate	-5-25	$- 5 - 25$
9504	Evaluate	550((1-(1.03)^-20)/0.03)	$550 (\frac{1 - {(1.03)}^{- 20}}{0.03})$
9505	Evaluate	57(9)	$57 (9)$
9506	Evaluate	6*0.5	$6 \cdot 0.5$
9507	Evaluate	6.7*50	$6.7 \cdot 50$
9508	Evaluate	6.75	$6.75$
9509	Evaluate	6 9/10-5 4/5	$6 \frac{9}{10} - 5 \frac{4}{5}$
9510	Evaluate	40.000	$40$
9511	Evaluate	400(1+0.07/1)^4	$400 {(1 + \frac{0.07}{1})}^{4}$
9512	Evaluate	260/((1.10)^9)	$\frac{260}{{(1.1)}^{9}}$
9513	Evaluate	square root of -100 square root of -9	$\sqrt{- 100} \sqrt{- 9}$
9514	Evaluate	square root of 1184	$\sqrt{1184}$
9515	Evaluate	square root of 122+(11-5)	$\sqrt{122 + (11 - 5)}$
9516	Evaluate	square root of 14*5	$\sqrt{14} \cdot 5$
9517	Factor over the Complex Numbers	j^4-j^5	$j^{4} - j^{5}$
9518	Factor over the Complex Numbers	s^2+6s+36	$s^{2} + 6 s + 36$
9519	Factor over the Complex Numbers	square root of 4x^2y^5+ square root of x^3y^5-5xy square root of x^5y^3	$\sqrt{4 x^{2} y^{5}} + \sqrt{x^{3} y^{5}} - 5 x y \sqrt{x^{5} y^{3}}$
9520	Factor over the Complex Numbers	square root of 6x-2 square root of 54+5 square root of 150x	$\sqrt{6 x} - 2 \sqrt{54} + 5 \sqrt{150 x}$
9521	Factor over the Complex Numbers	x^2-\|x\|+1	$x^{2} - \| x \| + 1$
9522	Factor over the Complex Numbers	-x^2+40x-200	$- x^{2} + 40 x - 200$
9523	Factor over the Complex Numbers	x^2-2x-24	$x^{2} - 2 x - 24$
9524	Factor over the Complex Numbers	x^3-2x^2+9x-18	$x^{3} - 2 x^{2} + 9 x - 18$
9525	Factor over the Complex Numbers	x^4-x^3-x^2+2x+1	$x^{4} - x^{3} - x^{2} + 2 x + 1$
9526	Factor over the Complex Numbers	-0.14x^3+1.06x^2+8.3x-27.3	$- 0.14 x^{3} + 1.06 x^{2} + 8.3 x - 27.3$
9527	Factor over the Complex Numbers	0.31(s1)+0.95(s2)0.69(s1)+0.05(s*2)	$0.31 \cdot (s \cdot 1) + 0.95 \cdot (s \cdot 2) \cdot 0.69 \cdot (s \cdot 1) + 0.05 \cdot (s \cdot 2)$
9528	Factor over the Complex Numbers	1-2/(x/(x-5/(6x)))	$1 - \frac{2}{\frac{x}{x - \frac{5}{6 x}}}$
9529	Factor over the Complex Numbers	12-3/8(2t^2-26t+89)	$12 - \frac{3}{8} (2 t^{2} - 26 t + 89)$
9530	Factor over the Complex Numbers	2.4x^5+3.2x^4-4x^2+5.6x	$2.4 x^{5} + 3.2 x^{4} - 4 x^{2} + 5.6 x$
9531	Factor over the Complex Numbers	2cos(q)^3-cos(q)	$2 \cos^{3} (q) - \cos (q)$
9532	Factor over the Complex Numbers	28e^(-3t)(e^(2.6t)-e^(-2.6t))	$28 e^{- 3 t} (e^{2.6 t} - e^{- 2.6 t})$
9533	Factor over the Complex Numbers	3(x+h)^4-12(x+h)^2	$3 {(x + h)}^{4} - 12 {(x + h)}^{2}$
9534	Factor over the Complex Numbers	8a^4b^3+27a^7	$8 a^{4} b^{3} + 27 a^{7}$
9535	Factor over the Complex Numbers	arccos(cos((15pi)/2))	$\arccos (\cos (\frac{15 π}{2}))$
9536	Factor over the Complex Numbers	j(2-3j)(8-5j)	$j (2 - 3 j) (8 - 5 j)$
9537	Factor over the Complex Numbers	sec(t)sin(t)+cos(t)	$\sec (t) \sin (t) + \cos (t)$
9538	Factor over the Complex Numbers	4-8x/(x-5+1.5)+(x/(x-5+1.5))^2	$4 - 8 \frac{x}{x - 5 + 1.5} + {(\frac{x}{x - 5 + 1.5})}^{2}$
9539	Find Pivot Positions and Pivot Columns	r^2+(-3)r=[[1,9,-4,-7],[3,5,8,1],[-2,7,8,9]]	$r^{2} + (- 3) r = [\begin{array}{c} 1 & 9 & - 4 & - 7 \\ 3 & 5 & 8 & 1 \\ - 2 & 7 & 8 & 9 \end{array}]$
9540	Find Pivot Positions and Pivot Columns	[[0.01,0.34,0.25,0.23],[0.16,0.13,0.03,0.02],[0.12,0.05,0.06,0.01],[0.14,0.08,0.15,0.28]]	$[\begin{array}{c} 0.01 & 0.34 & 0.25 & 0.23 \\ 0.16 & 0.13 & 0.03 & 0.02 \\ 0.12 & 0.05 & 0.06 & 0.01 \\ 0.14 & 0.08 & 0.15 & 0.28 \end{array}]$
9541	Find Pivot Positions and Pivot Columns	[[0.75,0.15,0.10],[0.25,0.65,0.10],[0.10,0.20,0.70]]	$[\begin{array}{c} 0.75 & 0.15 & 0.1 \\ 0.25 & 0.65 & 0.1 \\ 0.1 & 0.2 & 0.7 \end{array}]$
9542	Find the Average Rate of Change	f(x)=e^(-x/2) , [-1,16]	$f (x) = e^{- \frac{x}{2}}$ , $[- 1, 16]$
9543	Find the Average Rate of Change	f(x)=e^(x/7) , (5,6)	$f (x) = e^{\frac{x}{7}}$ , $(5, 6)$
9544	Find the Average Rate of Change	f(x)=x/(3x^2-5x) , [10,11]	$f (x) = \frac{x}{3 x^{2} - 5 x}$ , $[10, 11]$
9545	Find the Average Rate of Change	f(x)=-x^2+2x-5 , [4,5]	$f (x) = - x^{2} + 2 x - 5$ , $[4, 5]$
9546	Find the Average Rate of Change	f(x)=x^2+x-3 , (5,6)	$f (x) = x^{2} + x - 3$ , $(5, 6)$
9547	Find the Average Rate of Change	f(x)=x^3-12x^2+21x+14 , [-1,9]	$f (x) = x^{3} - 12 x^{2} + 21 x + 14$ , $[- 1, 9]$
9548	Find the Average Rate of Change	f(x)=-2x^2+x+1 , [-1,0]	$f (x) = - 2 x^{2} + x + 1$ , $[- 1, 0]$
9549	Find the Average Rate of Change	f(x)=20x^2-80x+20 , [0,3]	$f (x) = 20 x^{2} - 80 x + 20$ , $[0, 3]$
9550	Find the Average Rate of Change	f(x)=3x^2 , (1,4)	$f (x) = 3 x^{2}$ , $(1, 4)$
9551	Find the Average Rate of Change	f(x)=3x^3-2x^2+5x+4 , [-1,0]	$f (x) = 3 x^{3} - 2 x^{2} + 5 x + 4$ , $[- 1, 0]$
9552	Find the Average Rate of Change	f(x)=-4x^3+7x^2+2x , (-5,2)	$f (x) = - 4 x^{3} + 7 x^{2} + 2 x$ , $(- 5, 2)$
9553	Find the Average Rate of Change	f(x)=4x-1/2 , (1,3)	$f (x) = 4 x - \frac{1}{2}$ , $(1, 3)$
9554	Find the Average Rate of Change	f(x)=7x-3/4 , (0,100)	$f (x) = 7 x - \frac{3}{4}$ , $(0, 100)$
9555	Find the Average Rate of Change	f(x)=8x^2-8x+9 , [-2,4]	$f (x) = 8 x^{2} - 8 x + 9$ , $[- 2, 4]$
9556	Find the Average Rate of Change	f(x)=9.6x^2-3x-5 , (1,5)	$f (x) = 9.6 x^{2} - 3 x - 5$ , $(1, 5)$
9557	Find the Average Rate of Change	f(x)=9x-4 , (5,9)	$f (x) = 9 x - 4$ , $(5, 9)$
9558	Find the Average Rate of Change	f(x)=cot(x)+cos(x) , cos(a+3/2pi)=12/12(epi)/2<a<-pi	$f (x) = \cot (x) + \cos (x)$ , $\cos (a + \frac{3}{2} \cdot π) = \frac{12}{12} \cdot \frac{e π}{2} < a < - π$
9559	Find the Average Rate of Change	f(x)=x , [-4,4]	$f (x) = x$ , $[- 4, 4]$
9560	Find the Average Rate of Change	f(x)=x-6 , (0,7)	$f (x) = x - 6$ , $(0, 7)$
9561	Find the Average Rate of Change	f(x)=x-e^(-x) , [0,1]	$f (x) = x - e^{- x}$ , $[0, 1]$
9562	Factor over the Complex Numbers	(1+2j)(2-j)	$(1 + 2 j) (2 - j)$
9563	Factor over the Complex Numbers	(2z^(3/4))(16/(z^2))	$(2 z^{\frac{3}{4}}) (\frac{16}{z^{2}})$
9564	Factor over the Complex Numbers	35t+80	$35 t + 80$
9565	Factor over the Complex Numbers	(9y^3+8)-(18y^4-4y)	$(9 y^{3} + 8) - (18 y^{4} - 4 y)$
9566	Factor over the Complex Numbers	(9z-3)(z-5)	$(9 z - 3) (z - 5)$
9567	Factor over the Complex Numbers	(a+bi)^n	${(a + b i)}^{n}$
9568	Factor over the Complex Numbers	(Z-1)^2-(i)^2	${(Z - 1)}^{2} - {(i)}^{2}$
9569	Factor over the Complex Numbers	(35m^7)/2*14/(55m)	$\frac{35 m^{7}}{2} \cdot \frac{14}{55 m}$
9570	Factor over the Complex Numbers	-(5m^2)/8* fifth root of m^2	$- \frac{5 m^{2}}{8} \cdot \sqrt[5]{m^{2}}$
9571	Factor over the Complex Numbers	5/4x-11/4y+1/4	$\frac{5}{4} x - \frac{11}{4} y + \frac{1}{4}$
9572	Factor over the Complex Numbers	(5s)/(16s^2-4t^2)-s/(4s-2t)	$\frac{5 s}{16 s^{2} - 4 t^{2}} - \frac{s}{4 s - 2 t}$
9573	Prove that a Root is on the Interval	(-5,5) , x=4	$(- 5, 5)$ , $x = 4$
9574	Prove that a Root is on the Interval	(5,6) , x+6y=5	$(5, 6)$ , $x + 6 y = 5$
9575	Prove that a Root is on the Interval	sin(x)^2=sin(x) , 0=x=pi	$\sin^{2} (x) = \sin (x)$ , $0 = x = π$
9576	Prove that a Root is on the Interval	sin(x)^2(x)=sin(x) , 0=x=pi	$\sin^{2} (x) (x) = \sin (x)$ , $0 = x = π$
9577	Prove that a Root is on the Interval	y=-3/10 , (-7,0)	$y = - \frac{3}{10}$ , $(- 7, 0)$
9578	Prove that a Root is on the Interval	y=3^x , [-3,3]	$y = 3^{x}$ , $[- 3, 3]$
9579	Prove that a Root is on the Interval	y=64-x^2 , [-8,8]	$y = 64 - x^{2}$ , $[- 8, 8]$
9580	Solve for x	y=1/5x+5	$y = \frac{1}{5} x + 5$
9581	Solve for x	x=(-63+ square root of 63^2-4-3-124)/(2-3)	$x = \frac{- 63 + \sqrt{63^{2} - 4 - 3 - 124}}{2 - 3}$
9582	Find the Average Rate of Change	center (-6,-4) , r = square root of 5	center $(- 6, - 4)$ , $r = \sqrt{5}$
9583	Find the Average Rate of Change	M=-9 , (3,5)	$M = - 9$ , $(3, 5)$
9584	Find the Average Rate of Change	y=\|x^2+2x-24\| , [0,6]	$y = \| x^{2} + 2 x - 24 \|$ , $[0, 6]$
9585	Find the Average Rate of Change	y=1/2x^2 , [1,2]	$y = \frac{1}{2} x^{2}$ , $[1, 2]$
9586	Find the Average Rate of Change	y=x+6 , (0,6)	$y = x + 6$ , $(0, 6)$
9587	Prove that a Root is on the Interval	f(x)=-3^x , [-2,2]	$f (x) = - 3^{x}$ , $[- 2, 2]$
9588	Prove that a Root is on the Interval	f(x)=x^2+x , [-1,2]	$f (x) = x^{2} + x$ , $[- 1, 2]$
9589	Prove that a Root is on the Interval	f(x)=x^3+x^2-x-2 , [-2,1]	$f (x) = x^{3} + x^{2} - x - 2$ , $[- 2, 1]$
9590	Prove that a Root is on the Interval	f(x)=4x-1/2 , (1,3)	$f (x) = 4 x - \frac{1}{2}$ , $(1, 3)$
9591	Prove that a Root is on the Interval	f(x)=x , [-4,4]	$f (x) = x$ , $[- 4, 4]$
9592	Find the Average Rate of Change	2 log of x+1=5	$2 \log (x) + 1 = 5$
9593	Find the Average Rate of Change	f(x)=3x^2-x/2 , [8,9]	$f (x) = 3 x^{2} - \frac{x}{2}$ , $[8, 9]$
9594	Find the Average Rate of Change	f(x)=1/r , (2,3)	$f (x) = \frac{1}{r}$ , $(2, 3)$
9595	Find the Average Rate of Change	f(x)=1/s , (0,1)	$f (x) = \frac{1}{s}$ , $(0, 1)$
9596	Find the Average Rate of Change	f(x)=-1/x , (1,2)	$f (x) = \frac{- 1}{x}$ , $(1, 2)$
9597	Find the Average Rate of Change	f(x)=-1/(x+1) , (1,4)	$f (x) = - \frac{1}{x + 1}$ , $(1, 4)$
9598	Convert to a Percentage	1/4500	$\frac{1}{4500}$
9599	Convert to a Percentage	100/0.338	$\frac{100}{0.338}$
9600	Convert to a Percentage	1716/20358520	$\frac{1716}{20358520}$