uppose -18*n**4 + 19716*n**3 + 92272*n**2 + 140736*n + 70400 = 0. Calculate n.
-2, -4/3, 1100
Suppose -w**3/3 - 68684*w**2/3 + w/3 + 68684/3 = 0. Calculate w.
-68684, -1, 1
Factor -5*m**2 - 3135*m - 464400.
-5*(m + 240)*(m + 387)
Factor h**3/3 + 295196*h**2/3 + 7263002215*h + 188771545950.
(h + 26)*(h + 147585)**2/3
Solve 4*o**5 + 992948*o**4 + 17871900*o**3 + 32764972*o**2 + 15886016*o = 0 for o.
-248219, -16, -1, 0
Factor q**3/2 - 158*q**2 - 51198*q + 16179840.
(q - 318)**2*(q + 320)/2
Let -3*n**2/2 + 210669*n/2 + 526710 = 0. What is n?
-5, 70228
Solve -2*w**5/5 + 182*w**4/5 - 3762*w**3/5 + 1186*w**2 + 18148*w/5 - 20496/5 = 0 for w.
-2, 1, 3, 28, 61
Factor 4*f**2 + 28480272*f + 50695368324624.
4*(f + 3560034)**2
Factor 1964*y**3 - 3006876*y**2 - 12248*y.
4*y*(y - 1531)*(491*y + 2)
What is h in -2*h**5 + 9828*h**4 - 390148*h**3 + 1111496*h**2 - 1091850*h + 360676 = 0?
1, 37, 4874
Let 3*d**5/2 + 2847*d**4 - 86259*d**3/2 - 166341*d**2 + 172494*d + 619812 = 0. What is d?
-1913, -3, -2, 2, 18
Factor g**3/4 + 145797*g**2/2 + 21263178825*g/4 + 233753856875.
(g + 44)*(g + 145775)**2/4
Find f such that 2*f**5 + 1390*f**4 - 1266256*f**3 - 523196192*f**2 + 284432712704*f - 283908251648 = 0.
-812, 1, 464
Factor s**3/4 - 943*s**2/4 - 14080*s - 170000.
(s - 1000)*(s + 17)*(s + 40)/4
Factor -g**3 + 13326*g**2 - 1061280*g + 21193600.
-(g - 13246)*(g - 40)**2
Factor 3*s**3/4 + 547329*s**2/4 + 16958550*s + 525625677.
3*(s + 62)**2*(s + 182319)/4
Solve 2*i**5/15 - 619502*i**4/15 + 412998*i**3/5 + 619502*i**2/15 - 1238996*i/15 = 0.
-1, 0, 1, 2, 309749
Suppose -2*j**3/7 + 738*j**2/7 + 77012*j/7 + 10896 = 0. What is j?
-84, -1, 454
What is m in 3*m**4/4 + 2127*m**3/2 + 191841*m**2/4 - 1006509*m/2 + 806148 = 0?
-1371, -56, 2, 7
Determine u so that 3*u**4 + 35427978*u**3 + 35427972*u**2 - 35427978*u - 35427975 = 0.
-11809325, -1, 1
Factor -219122*y**4 - 5227152*y**3 + 761472*y**2 - 27648*y.
-2*y*(y + 24)*(331*y - 24)**2
Factor -2*z**2/17 + 485072*z/17 - 5820576/17.
-2*(z - 242524)*(z - 12)/17
What is z in -2*z**3/5 + 9286*z**2/5 + 621458*z/5 + 122434 = 0?
-65, -1, 4709
Factor -2*t**2/7 - 1184090*t/7 + 3552288/7.
-2*(t - 3)*(t + 592048)/7
Suppose -3*h**3 + 1489905*h**2 + 17879184*h + 53637876 = 0. What is h?
-6, 496647
Solve -4*k**2 - 36920416*k = 0.
-9230104, 0
Suppose -4*h**2 + 1768436*h - 1768432 = 0. Calculate h.
1, 442108
Factor 121*f**2 + 5988180*f + 74087396100.
(11*f + 272190)**2
Solve -2*k**4/3 - 16100*k**3/3 - 289216*k**2/3 - 514048*k/3 = 0 for k.
-8032, -16, -2, 0
Solve -4*t**4/3 + 3628*t**3 + 196408*t**2 - 3152656*t/3 + 1287136 = 0.
-58, 2, 3, 2774
Factor w**3/5 - 48219*w**2/5 + 1012196*w/5 - 1831524/5.
(w - 48198)*(w - 19)*(w - 2)/5
Factor 2*o**3/13 + 1966076*o**2/13 + 483183820792*o/13 + 966359777296/13.
2*(o + 2)*(o + 491518)**2/13
Factor -2*g**2/13 - 12053904*g/13 - 18162075205152/13.
-2*(g + 3013476)**2/13
Find y such that -8*y**4 - 25104*y**3 - 39337887*y**2/2 + 39490210*y + 40670850 = 0.
-1570, -3/4, 11/4
Suppose 5*r**5 - 755*r**4 - 663630*r**3 - 96793110*r**2 - 4883736375*r - 58240566135 = 0. Calculate r.
-111, -17, 501
Let 8*f**5/7 + 867222*f**4/7 - 1084038*f**3/7 + 216808*f**2/7 = 0. Calculate f.
-108404, 0, 1/4, 1
Factor -v**3 + 367004*v**2 + 49926416*v + 1697655360.
-(v - 367140)*(v + 68)**2
Determine j, given that -5*j**5 - 565*j**4 - 16465*j**3 - 45515*j**2 - 29610*j = 0.
-63, -47, -2, -1, 0
Factor 5*o**2/3 + 163186350*o + 3994467723948375.
5*(o + 48955905)**2/3
Suppose 11*n**5/2 + 1927*n**4/2 - 1211*n**3 - 74590*n**2 - 149036*n - 24640 = 0. Calculate n.
-176, -7, -2, -2/11, 10
Let -3*f**3 - 10528164*f**2 - 10528161*f = 0. Calculate f.
-3509387, -1, 0
Solve -2*a**2/5 - 1662624*a/5 - 665048 = 0.
-831310, -2
Factor -91*k**2 + 706*k + 3245.
-(k - 11)*(91*k + 295)
Factor n**2 + 18255*n + 7333884.
(n + 411)*(n + 17844)
Factor -3*d**2 + 341571966*d - 9722617329758763.
-3*(d - 56928661)**2
Solve -13678580*x**3 + 27347236*x**2 + 99231*x/5 + 18/5 = 0 for x.
-3/8270, 2
Factor -4*z**2 - 2401564*z + 16811144.
-4*(z - 7)*(z + 600398)
Factor -b**3 - 143874*b**2 + 63738831*b - 7048537756.
-(b - 221)**2*(b + 144316)
Factor 5*b**2/4 - 51482397*b/4 + 10296479/2.
(b - 10296479)*(5*b - 2)/4
Let -3*m**5 + 9849*m**4 - 8917590*m**3 + 1331657706*m**2 + 8917593*m - 1331667555 = 0. Calculate m.
-1, 1, 185, 1549
Suppose -3*o**2/2 - 5073*o/2 - 118296 = 0. What is o?
-1643, -48
Factor -s**3 + 2342*s**2 + 1301044*s - 4097971448.
-(s - 1802)**2*(s + 1262)
What is h in -2*h**5/5 - 598*h**4/5 - 2052*h**3 - 8080*h**2 + 18752*h/5 + 215808/5 = 0?
-281, -12, -4, 2
Find x such that 3*x**2 - 25561017*x + 178926972 = 0.
7, 8520332
Factor a**2/3 - 7071610*a/3 + 12501916998025/3.
(a - 3535805)**2/3
What is k in -3*k**3/2 - 219*k**2 + 300873*k/2 - 9778146 = 0?
-421, 79, 196
Find s, given that -3*s**5 + 324*s**4 - 9231*s**3 + 23634*s**2 + 547992*s = 0.
-6, 0, 12, 43, 59
What is a in 4*a**5/9 - 66926*a**4 - 13554682*a**3/9 + 7128700*a**2/3 - 803232*a = 0?
-24, 0, 1/2, 1, 150606
Let -3*l**4 - 59082*l**3 - 590595*l**2 - 1476300*l = 0. Calculate l.
-19684, -5, 0
What is j in 2*j**5 - 6052*j**4 + 138424*j**3 - 859100*j**2 + 726726*j = 0?
0, 1, 11, 3003
Factor -d**2/3 + 2740487*d.
-d*(d - 8221461)/3
Factor z**2/2 - 924340*z + 427202217800.
(z - 924340)**2/2
Factor -5*h**2 + 195330*h - 5075200.
-5*(h - 39040)*(h - 26)
Solve -2*v**3/23 - 1252*v**2/23 + 775594*v/23 + 30309660/23 = 0.
-999, -37, 410
Factor -4*p**3 - 7836*p**2 - 262380*p - 1116500.
-4*(p + 5)*(p + 29)*(p + 1925)
Find g, given that 1041*g**3/2 + 167595*g**2/2 + 483582*g - 2790 = 0.
-155, -6, 2/347
Factor d**2 + 5786939*d/3 - 1928980/3.
(d + 1928980)*(3*d - 1)/3
Let 3*d**5 + 4536*d**4 - 424788*d**3 + 4280814*d**2 - 13226415*d + 9365850 = 0. What is d?
-1601, 1, 5, 78
Factor -6*o**3 + 41773*o**2 - 72669340*o - 133367564.
-(o - 3482)**2*(6*o + 11)
Let 20*n**2 - 11751368*n - 7050828 = 0. What is n?
-3/5, 587569
Suppose -7*o**5 - 35684*o**4 + 153129*o**3 + 352058*o**2 + 102028*o - 61224 = 0. Calculate o.
-5102, -1, 2/7, 6
Factor -4*f**3 + 2806756*f**2 - 492360435756*f - 2461872348180.
-4*(f - 350847)**2*(f + 5)
Find u, given that -u**2/2 - 6131*u/2 - 1340709 = 0.
-5657, -474
Factor 4*h**3 + 41991944*h**2 + 110207752048128*h + 220415336128512.
4*(h + 2)*(h + 5248992)**2
Let -f**2 + 51320797*f - 51320796 = 0. Calculate f.
1, 51320796
Determine g, given that g**3/7 + 272821*g**2/7 - 545663*g + 1909845 = 0.
-272835, 7
Solve -2*d**2/7 + 702466*d/7 - 4314620 = 0.
43, 351190
Determine t so that 2*t**3/9 + 13904*t**2/9 - 12641422*t/9 + 4209172/3 = 0.
-7766, 1, 813
Determine a so that a**2/2 - 96765*a/2 - 6831873 = 0.
-141, 96906
Factor -k**3/3 - 15291245*k**2/3 - 58455551058128*k/3 - 58455535766884/3.
-(k + 1)*(k + 7645622)**2/3
Factor c**3 - 129308*c**2 - 9315433*c + 9444740.
(c - 129380)*(c - 1)*(c + 73)
Find o, given that -2*o**2/7 - 507950*o = 0.
-1777825, 0
Find v such that v**5/3 - 9103*v**4/3 - 27346*v**3/3 + 254968*v**2/3 = 0.
-7, 0, 4, 9106
Suppose -2*v**2 + 24950*v + 149772 = 0. What is v?
-6, 12481
Suppose 639061144569*v**4/2 + 5751553498773*v**3/2 + 14389436*v**2 + 18*v = 0. What is v?
-9, -2/799413, 0
Factor -2*c**2/7 - 32316048*c/7 - 130540869792288/7.
-2*(c + 8079012)**2/7
Factor 3*x**3 - 341856*x**2 + 120735063*x - 10676735226.
3*(x - 113598)*(x - 177)**2
What is o in -4*o**5 - 165928*o**4 - 1802395680*o**3 - 1672362327616*o**2 + 6711083368640*o - 6718295606400 = 0?
-20230, -1026, 2
Factor 3*m**2/4 + 16356393*m/4.
3*m*(m + 5452131)/4
Suppose -s**3 - 2292*s**2 - 63507*s - 260360 = 0. What is s?
-2264, -23, -5
Determine g, given that 3*g**2 + 7059996*g + 7059993 = 0.
-2353331, -1
Factor -5*v**2 - 561201455*v + 561201460.
-5*(v - 1)*(v + 112240292)
Find g such that -38*g**2/9 + 1913816*g/9 + 89536 = 0.
-8/19, 50364
Factor 3*i**3/7 - 37964580*i**2/7 + 75929151*i/7 - 37964574/7.
3*(i - 12654858)*(i - 1)**2/7
Find m, given that -3*m**4/2 + 592701*m**3/2 - 296340*m**2 - 1778094*m = 0.
-2, 0, 3, 197566
Find d such that 2*d**4/5 - 2244*d**3/5 - 306442*d**2 + 10821444*d/5 - 9286992/5 = 0.
-484, 1, 6, 1599
Factor -4*j**3 + 6636*j**2 + 557136*j - 1140784.
-4*(j - 1739)*(j - 2)*(j + 82)
Determine k so that 36*k**2 - 147308*k - 1476680 = 0.
-10, 36917/9
Solve 2*p**4/9 - 572*p**3 + 343752*p**2 + 12436912*p/9 + 4152512/3 = 0.
-2, 966, 1