3
Find r, given that r**3 - 26740*r**2 + 171006077*r + 104728588162 = 0.
-562, 13651
Determine b, given that -b**5/5 + 2966*b**4/5 + 95684*b**3/5 + 755496*b**2/5 = 0.
-18, -14, 0, 2998
Factor -4*p**3/3 + 85340*p**2 - 3923524*p + 135337244/3.
-4*(p - 63959)*(p - 23)**2/3
What is m in -3*m**3/5 + 5825832*m**2 - 116516604*m/5 + 116516592/5 = 0?
2, 9709716
Determine f so that 8*f**4/3 - 1078*f**3 + 13636*f**2/3 - 4800*f = 0.
0, 2, 9/4, 400
Find u, given that -4*u**2 + 555801200*u - 19307185870090000 = 0.
69475150
Factor 4*w**2 - 230596*w + 2305560.
4*(w - 57639)*(w - 10)
What is c in 2*c**4 + 13180*c**3 - 744246*c**2 + 704696*c + 1462120 = 0?
-6646, -1, 2, 55
Let -91*i**3/4 - 103829*i**2/4 - 411271*i/2 + 4532 = 0. Calculate i.
-1133, -8, 2/91
Find d, given that -2*d**3 + 1896*d**2 + 212102*d - 213996 = 0.
-102, 1, 1049
Solve 5*x**4 - 390*x**3 - 6740*x**2 - 21690*x - 15345 = 0.
-11, -3, -1, 93
Factor -4*h**2 + 7938456*h - 3938692728996.
-4*(h - 992307)**2
Factor -2*b**2/3 + 82834*b/3 + 2934292.
-2*(b - 41523)*(b + 106)/3
Factor 2662*t**4/7 + 52429784*t**3/7 + 344195175060*t**2/7 + 753046857292216*t/7 - 753391104899722/7.
2*(t - 1)*(11*t + 72221)**3/7
Suppose -w**2/5 - 76171*w/5 + 8620092/5 = 0. Calculate w.
-76284, 113
Find r such that 100*r**4 + 98123960*r**3 + 24069581673124*r**2 - 587341607861184*r + 3582872899266816 = 0.
-490632, 61/5
Factor 2*v**3/7 - 300630*v**2/7 + 11309765424*v/7 - 936640633696/7.
2*(v - 75116)**2*(v - 83)/7
Factor 3*f**2 - 10329*f + 215586.
3*(f - 3422)*(f - 21)
Factor 2*k**3/3 - 1676*k**2 + 941766*k + 431460728/3.
2*(k - 1319)**2*(k + 124)/3
Factor 55*s**2 + 4684160*s + 2554980.
5*(s + 85166)*(11*s + 6)
Find g, given that -2*g**5/9 + 70*g**4/9 + 805778*g**3/9 - 208742638*g**2/9 + 274024712*g/3 = 0.
-723, 0, 4, 377
Factor -5*m**2 - 31150*m - 9035625.
-5*(m + 305)*(m + 5925)
Suppose 5*p**3 - 121195*p**2 - 4127610*p + 29127600 = 0. What is p?
-40, 6, 24273
Solve -4*w**4/3 + 32651104*w**3/3 - 32651092*w**2 - 16*w/3 + 130604368/3 = 0.
-1, 2, 8162773
Factor -2*q**2/11 + 1368402*q/11 + 1368404/11.
-2*(q - 684202)*(q + 1)/11
Suppose 795*v**3/2 - 8052*v**2 + 2040*v = 0. What is v?
0, 68/265, 20
Suppose -3*q**2/4 - 11499*q/4 + 1343901/2 = 0. Calculate q.
-4054, 221
What is y in y**5/4 + 4318*y**4 - 441663*y**3/2 + 636584*y**2 - 2511787*y/4 + 207876 = 0?
-17323, 1, 48
Factor v**2/2 + 20299*v/2 - 7555971.
(v - 719)*(v + 21018)/2
Solve 15888*k**2 - 6943054*k - 874 = 0 for k.
-1/7944, 437
Let 2*c**3/7 + 9728*c**2/7 + 466714*c - 468104 = 0. Calculate c.
-4501, -364, 1
What is q in -4*q**4 - 12216*q**3 + 5014300*q**2 + 25376400*q = 0?
-3420, -5, 0, 371
Factor -4*n**2/7 - 1140568*n - 569141721148.
-4*(n + 997997)**2/7
Solve -y**3/3 - 7978*y**2/3 - 5364095*y/3 - 10696286/3 = 0.
-7237, -739, -2
Let -y**3 - 8809575*y**2 - 140953008*y - 563811776 = 0. What is y?
-8809559, -8
Factor 4*z**2 + 15841556*z.
4*z*(z + 3960389)
Factor 5*a**2/2 - 6240939*a/2 - 624094.
(a - 1248188)*(5*a + 1)/2
Factor -5*g**3 + 81440*g**2 - 1789865*g + 9840930.
-5*(g - 16266)*(g - 11)**2
Solve 2*r**5 + 572*r**4 + 14344*r**3 + 93028*r**2 + 79254*r = 0 for r.
-259, -17, -9, -1, 0
Suppose 6*j**5 - 9586*j**4 + 4996340*j**3 - 843862236*j**2 - 4635677306*j - 1451278130 = 0. What is j?
-5, -1/3, 463, 677
What is k in k**4/9 - 97375*k**3/3 - 97381*k**2/3 + 4966157*k/9 - 1460630/3 = 0?
-5, 1, 3, 292126
Suppose -144386482688*i**5/5 + 1361362026976*i**4/5 + 1626486993743*i**3/10 + 117845328743*i**2/5 - 3070582*i/5 + 4 = 0. Calculate i.
-2/7, 1/76768, 10
Suppose 10*d**3 + 2325*d**2 - 114810*d - 301400 = 0. What is d?
-274, -5/2, 44
Factor -5*a**2 - 598480*a - 2393840.
-5*(a + 4)*(a + 119692)
Find f, given that f**4 - 107*f**3 - 5683*f**2 + 75299*f + 3684474 = 0.
-31, 27, 142
Determine o, given that 4*o**2 + 14336992*o + 12846833725504 = 0.
-1792124
Factor 4*x**3 + 6888*x**2 - 419644*x + 1196832.
4*(x - 56)*(x - 3)*(x + 1781)
Factor 598*h**2/11 + 239212*h/11 + 4800/11.
2*(h + 400)*(299*h + 6)/11
What is j in 66725554692966*j**5/11 + 618726240228096*j**4 - 43239988929129408*j**3/11 + 11622804337824*j**2/11 - 94673952*j + 31104/11 = 0?
-108, 2/22321, 6
Determine h so that 16*h**4 + 4679568*h**3 - 12*h**2 - 3509672*h + 1169892 = 0.
-292473, -1, 1/2
Solve -5*d**2 - 127648910*d + 127648915 = 0.
-25529783, 1
Factor 5*k**3 - 63530*k**2 + 202815685*k - 6425211040.
5*(k - 6337)**2*(k - 32)
Suppose 4*z**4 - 300272*z**3 + 5626185664*z**2 + 338652983040*z = 0. Calculate z.
-60, 0, 37564
Factor -3*x**3 - 3793161*x**2 + 11379510*x.
-3*x*(x - 3)*(x + 1264390)
Find i such that 3*i**2/5 - 2061*i - 480378/5 = 0.
-46, 3481
Factor 1681*n**3 - 1690021763*n**2 - 164880184*n - 4021468.
(n - 1005367)*(41*n + 2)**2
What is y in y**4/2 - 14715*y**3 - 500569*y**2/2 - 441705*y = 0?
-15, -2, 0, 29447
Determine a, given that 2*a**5 - 214*a**4 - 6816*a**3 + 27328*a**2 + 160768*a - 591360 = 0.
-28, -5, 4, 132
Determine x so that 5*x**2/3 - 1096551470*x/3 + 60121256317958045/3 = 0.
109655147
Factor -4*m**3 + 140484*m**2 - 1230599676*m - 50691016004.
-4*(m - 17581)**2*(m + 41)
Determine n, given that -4*n**5/3 + 1524*n**4 - 701512*n**3/3 + 9797808*n**2 - 28696480*n/3 = 0.
0, 1, 86, 970
Suppose -4*m**2 + 21048*m - 10333088 = 0. What is m?
548, 4714
Determine o, given that -2*o**3/5 - 2409462*o**2/5 + 86742576*o/5 - 780689016/5 = 0.
-1204767, 18
Suppose -5*w**4 + 65755*w**3 + 724510*w**2 - 7897740*w + 7107480 = 0. Calculate w.
-18, 1, 6, 13162
What is n in -2*n**4/11 - 20192*n**3/11 - 50169236*n**2/11 + 4024264656*n/11 - 32139940698/11 = 0?
-5087, 9, 69
What is d in -d**4/2 - 178274*d**3 - 31812259843*d**2/2 - 2730552021060*d + 2746458329256 = 0?
-178188, -173, 1
What is i in -7*i**5/3 - 14911*i**4/3 + 24211*i**3 + 91591*i**2/3 - 457106*i/3 - 153720 = 0?
-2135, -2, -1, 27/7, 4
Solve 2*c**2/7 - 516328*c/7 + 33324325448/7 = 0.
129082
Find f such that -f**2 - 240057*f + 42281008 = 0.
-240233, 176
Suppose -21*y**4 + 45939*y**3 + 106195272*y**2 - 167030964*y - 91086336 = 0. Calculate y.
-1408, -3/7, 2, 3594
Factor z**3/7 - 6486002*z**2/7 + 10517068457993*z/7 - 42068170056004/7.
(z - 3242999)**2*(z - 4)/7
Suppose -2*n**2/9 + 1532228*n - 27580096/9 = 0. What is n?
2, 6895024
Suppose -2*j**2 + 52808904*j - 348597542710152 = 0. What is j?
13202226
Factor k**4 - 7326*k**3 - k**2 + 7326*k.
k*(k - 7326)*(k - 1)*(k + 1)
Determine k, given that 20*k**4/9 + 4046*k**3/3 + 10786*k**2/9 - 24640*k/3 + 808 = 0.
-606, -3, 1/10, 2
Factor 5*b**2 - 72693890*b + 264220082166605.
5*(b - 7269389)**2
What is w in 28*w**5 + 179460*w**4 - 4989596*w**3 + 35495532*w**2 - 70553120*w - 23173200 = 0?
-6437, -2/7, 5, 18
Factor -3*v**3/4 - 185919*v**2/4 - 2786760*v - 41791275.
-3*(v + 30)**2*(v + 61913)/4
Factor -3*k**2 + 9526173*k.
-3*k*(k - 3175391)
Determine m, given that 2*m**3/21 - 2906*m**2/21 - 620152*m/21 + 245056 = 0.
-196, 8, 1641
Factor 6*m**2/11 - 5952930*m/11 + 5952864.
6*(m - 992144)*(m - 11)/11
Factor 5*i**2 - 108398900*i + 587516076060500.
5*(i - 10839890)**2
Determine h so that h**2/3 - 2203852*h/3 + 37465195/3 = 0.
17, 2203835
Find z, given that -5*z**4 - 5520*z**3 - 1011520*z**2 = 0.
-872, -232, 0
Factor v**2 - 27756*v - 138805.
(v - 27761)*(v + 5)
Solve 18*u**5 + 1239*u**4 + 18405*u**3 - 22974*u**2 + 3312*u = 0 for u.
-46, -24, 0, 1/6, 1
Factor -2*s**2/5 - 2828834*s/5 - 2828832/5.
-2*(s + 1)*(s + 1414416)/5
Find k, given that k**3/5 - 2492*k**2/5 + 464132*k/5 - 710816 = 0.
8, 194, 2290
Factor -5*h**2 - 10920*h + 3992285.
-5*(h - 319)*(h + 2503)
What is k in 20*k**3/9 + 621662*k**2/9 - 4912394*k/9 - 497456/9 = 0?
-31091, -1/10, 8
Factor 3*w**2/2 - 67038*w - 6045570.
3*(w - 44782)*(w + 90)/2
Determine w so that -w**2 + 446944358*w - 49939814787008041 = 0.
223472179
Determine n so that 5*n**5 - 44370*n**4 - 4244930*n**3 - 137451520*n**2 - 1594255755*n - 2671954790 = 0.
-31, -2, 8969
What is c in 72*c**4 - 140068*c**3 + 2963504*c**2 - 1045732*c - 1777776 = 0?
-11/18, 1, 21, 1924
Determine h, given that 24*h**3 + 66994983*h**2 - 92118138*h + 25123131 = 0.
-2791459, 3/8, 1
Factor 8*h**2/11 + 11213846*h/11 - 2803462/11.
2*(h + 1401731)*(4*h - 1)/11
Find z such that z**3/4 + 4927*z**2/2 - 594901*z/4 - 302377/2 = 0.
-9914, -1, 61
Factor n**5/3 + 3542*n**4/3 - 1171920*n**3 + 349429950*n**2 - 33928900875*n.
n*(n - 285)**3*(n + 4397)/3
Dete