given that b**4 - 5514*b**3 + 327929*b**2 - 3758436*b + 3436020 = 0.
1, 14, 45, 5454
Suppose -z**2/7 - 123131*z/7 - 369384/7 = 0. What is z?
-123128, -3
Factor 2*r**4/15 - 106204*r**3 + 140992182224*r**2/5 - 37436244185883328*r/15 + 74867412767906048/5.
2*(r - 265508)**3*(r - 6)/15
Solve -15*j**5 + 4310*j**4 - 279750*j**3 - 784220*j**2 + 476925*j + 582750 = 0.
-3, -2/3, 1, 105, 185
Solve -l**2 - 9858276*l + 19716556 = 0.
-9858278, 2
Let -4*p**4/3 + 7593086*p**3/9 - 177955874810*p**2 + 12514410245317146*p - 377356120771025922 = 0. What is p?
181/6, 210909
Find m such that -16*m**5/3 + 66292*m**4/3 - 10331257*m**3/12 + 15045521*m**2/2 + 70867005*m/4 + 9310950 = 0.
-1, 165/8, 4104
Factor -j**2/5 - 1833546*j/5 + 3667096/5.
-(j - 2)*(j + 1833548)/5
Solve -2*a**2/5 + 93084*a/5 - 1083078882/5 = 0 for a.
23271
Suppose -p**5/3 - 15819*p**4 + 1139360*p**3/3 - 2912008*p**2 + 22790480*p/3 - 6330800 = 0. What is p?
-47481, 2, 10
Suppose a**5 - 508*a**4 - 111908*a**3 - 550338*a**2 - 766989*a - 328050 = 0. What is a?
-162, -3, -1, 675
Suppose 12580*v**4/7 - 159158*v**3/7 + 93430*v**2/7 + 59916*v/7 - 6768/7 = 0. Calculate v.
-282/629, 1/10, 1, 12
Determine j, given that -9*j**2 + 5285*j + 4116 = 0.
-7/9, 588
What is d in d**3 - 3912*d**2 + 27345*d - 39050 = 0?
2, 5, 3905
Suppose 5*x**2 + 2287420*x + 261614512820 = 0. What is x?
-228742
Determine z, given that 156*z**3 + 9196*z**2 - 29616*z - 38656 = 0.
-2416/39, -1, 4
Factor -17107051*f**2/6 - 51321155*f/6 - 1.
-(f + 3)*(17107051*f + 2)/6
Factor 4*c**4 + 7456*c**3 + 74224*c**2 + 118656*c.
4*c*(c + 2)*(c + 8)*(c + 1854)
Factor 3445*t**2 + 32755*t.
5*t*(689*t + 6551)
Suppose -2*f**3/5 + 5184248*f**2/5 + 2*f/5 - 5184248/5 = 0. Calculate f.
-1, 1, 2592124
Factor 2*r**3/13 - 339920*r**2/13 + 42127016*r/13 - 1305699168/13.
2*(r - 169836)*(r - 62)**2/13
Factor -y**2 - 18007167*y - 198078716.
-(y + 11)*(y + 18007156)
Factor -a**5 + 580871*a**4 - 3485202*a**3 + 6970388*a**2 - 4646920*a.
-a*(a - 580865)*(a - 2)**3
Find m, given that -2738*m**5/13 + 1261122652*m**4/13 + 7634979524*m**3/13 + 11760191048*m**2/13 + 619054446*m/13 + 8290908/13 = 0.
-3, -1/37, 460606
Factor -2*o**2/3 + 130946*o/3 + 4454476/3.
-2*(o - 65507)*(o + 34)/3
Let 2*v**5/13 - 144362*v**4/13 + 2605120520*v**3/13 - 2602089000*v**2/13 - 52099524000*v/13 = 0. Calculate v.
-4, 0, 5, 36090
Let -28*n**5 - 10396*n**4 - 769140*n**3 + 41324796*n**2 + 661283568*n = 0. What is n?
-201, -93/7, 0, 44
Let -2*o**3/15 - 38032*o**2/15 + 494674*o/15 - 101488 = 0. What is o?
-19029, 5, 8
Determine c so that 3*c**5/4 - 19221*c**4/4 - 309363*c**3/2 + 1862949*c**2/2 + 139234275*c/4 - 977923125/4 = 0.
-25, 9, 6439
Let m**2 + 5578240*m + 7779190374400 = 0. What is m?
-2789120
Factor 5*r**3/6 + 1562225*r**2/6 + 122007817375*r/6 - 3051171903125/6.
5*(r - 25)*(r + 156235)**2/6
Suppose -116*i**2/5 + 27658926*i/5 - 476878/5 = 0. What is i?
1/58, 238439
Determine p, given that -p**4/3 - 611*p**3/3 - 16242*p**2 + 50568*p = 0.
-516, -98, 0, 3
Factor 5*z**2 + 113565*z + 2722680.
5*(z + 24)*(z + 22689)
Solve -w**3/6 + 1561*w**2/6 - 75063*w = 0.
0, 382, 1179
Factor -k**2 + 37850*k - 151384.
-(k - 37846)*(k - 4)
Solve -4*a**5/3 + 1076*a**4/3 - 4008*a**3 - 79720*a**2/3 - 119044*a/3 - 17476 = 0.
-3, -1, 17, 257
Let -v**5/8 - 6*v**4 + 6165*v**3/8 + 2363*v**2 + 45*v/2 - 3150 = 0. What is v?
-105, -2, 1, 60
Let t**2/2 - 79*t - 87192 = 0. Calculate t.
-346, 504
Suppose m**5/2 + 2673*m**4/2 + 2020415*m**3/2 + 469055887*m**2/2 - 1010208*m - 234529280 = 0. Calculate m.
-1585, -544, -1, 1
Let -2*l**2 + 7901122*l - 23703348 = 0. What is l?
3, 3950558
Factor 2*w**3/11 - 1476934*w**2 + 32492542*w/11 - 16246270/11.
2*(w - 8123135)*(w - 1)**2/11
Find n, given that -25*n**5/4 - 2247785*n**4/4 - 50571871485*n**3/4 - 2089861469575*n**2/4 - 413926616125*n/2 = 0.
-44935, -41, -2/5, 0
Determine m so that 2*m**2 - 243220322*m = 0.
0, 121610161
Find m, given that 3*m**4/4 + 4125*m**3/2 + 301887*m**2/4 + 504966*m + 944124 = 0.
-2713, -29, -4
Suppose 56*x**5/9 + 6542*x**4/3 - 84418*x**3/3 + 574990*x**2/9 + 526442*x/3 - 47432 = 0. What is x?
-363, -12/7, 1/4, 7
Find u, given that u**2/4 + 1323*u - 126571 = 0.
-5386, 94
Solve -175*o**5 - 10315*o**4 - 121210*o**3 - 270240*o**2 + 15840*o = 0 for o.
-44, -12, -3, 0, 2/35
Find k, given that 5*k**2 + 203350*k + 204146000 = 0.
-39640, -1030
Solve 2*g**5/7 + 50*g**4/7 - 3284*g**3/7 - 17204*g**2/7 - 24366*g/7 - 10494/7 = 0.
-53, -3, -1, 33
Solve 5*y**3 + 495220*y**2 + 12273030000*y + 539055000000 = 0 for y.
-49500, -44
Factor 4*x**2 + 189336*x + 2460692.
4*(x + 13)*(x + 47321)
Factor 2*k**4 - 162*k**3 - 3248*k**2 - 8232*k.
2*k*(k - 98)*(k + 3)*(k + 14)
Solve -2*z**3/7 + 2017476*z**2/7 - 60522930*z/7 + 453918600/7 = 0 for z.
15, 1008708
Factor 7*y**2/6 - 1142156*y/3 + 326330/3.
(y - 326330)*(7*y - 2)/6
Find h, given that 115*h**2 + 195735*h + 3685770 = 0.
-1683, -438/23
Factor j**2 - 10469*j + 1821684.
(j - 10292)*(j - 177)
Factor -2*t**2/3 - 29322*t - 2461480/3.
-2*(t + 28)*(t + 43955)/3
Factor 2*h**2 + 54111250*h + 54111248.
2*(h + 1)*(h + 27055624)
Factor 2*q**2/5 - 25344*q/5 - 19623456/5.
2*(q - 13404)*(q + 732)/5
Solve -3*b**4/5 + 654*b**3 - 38673*b**2/5 - 29106*b = 0 for b.
-3, 0, 15, 1078
Find v such that 4*v**5/3 + 36398*v**4/15 + 54932*v**3 + 1710238*v**2/15 - 1473460*v/3 + 47920 = 0.
-1797, -20, -5, 1/10, 2
Suppose -4*f**2 + 496872*f + 3478300 = 0. Calculate f.
-7, 124225
Find s, given that 4*s**3/5 + 555844*s**2/5 + 14449916*s/5 + 18784012 = 0.
-138935, -13
Solve -33490*o**4/3 + 6688*o**3/3 + 408580*o**2/3 - 381664*o/3 - 38 = 0.
-19/5, -1/3349, 1, 3
Find a such that 124*a**4/7 + 75524*a**3/7 + 80264*a**2/7 + 4864*a/7 = 0.
-608, -1, -2/31, 0
Determine j so that -j**4/2 - 138*j**3 - 127*j**2 + 2910*j + 12375/2 = 0.
-275, -3, 5
Factor -2*s**2/11 - 116969736*s/11 - 1710239892488712/11.
-2*(s + 29242434)**2/11
Let u**5/4 - 313*u**4/4 + 21939*u**3/4 + 414757*u**2/4 - 181630*u - 5506956 = 0. Calculate u.
-13, -9, 7, 164
Suppose 4*v**4 + 33830980*v**3 - 236817056*v**2 = 0. Calculate v.
-8457752, 0, 7
Find r such that r**4 - 1669*r**3 + 866868*r**2 - 132185200*r + 131320000 = 0.
1, 268, 700
Let -2*x**4 - 19566*x**3 - 2320036*x**2 + 262401477624*x + 262403778096 = 0. Calculate x.
-6462, -1, 3142
Suppose -h**4/7 + 2209*h**3/7 + 164232*h**2/7 = 0. What is h?
-72, 0, 2281
Let -5*a**4 + 630*a**3 - 18080*a**2 - 38070*a - 19355 = 0. What is a?
-1, 49, 79
Determine y so that -1314*y**3 + 473037*y**2/4 - 5297913*y/2 - 1512 = 0.
-1/1752, 42, 48
Determine k, given that -3*k**5 - 552*k**4 + 208155*k**3 - 617172*k**2 - 832572*k + 2477520 = 0.
-372, -2, 2, 3, 185
Suppose -3*x**2 + 1288308*x + 3864951 = 0. What is x?
-3, 429439
Let -r**4/5 - 11822*r**3/5 - 906221*r**2/5 - 21812032*r/5 - 31269888 = 0. What is r?
-11745, -32, -13
Solve 2*r**3 + 3380*r**2 + 1421464*r - 2856464 = 0 for r.
-886, -806, 2
Suppose -4*u**3 + 31956*u**2 + 8846820*u + 602081100 = 0. What is u?
-135, 8259
Factor 3*j**2 - 265368*j + 796077.
3*(j - 88453)*(j - 3)
Determine j so that -j**4/2 - 495*j**3/2 - 2197*j**2 - 4860*j = 0.
-486, -5, -4, 0
Determine u so that 2*u**5/7 + 538*u**4/7 + 22352*u**3/7 - 6696*u**2 = 0.
-217, -54, 0, 2
Factor 2*d**3 - 26638050*d**2 - 372932994*d - 1305265822.
2*(d - 13319039)*(d + 7)**2
Suppose -w**3/2 + 436731*w**2 - 95367419910*w + 190733092900 = 0. Calculate w.
2, 436730
Factor -4*b**2 + 1812500*b - 1812496.
-4*(b - 453124)*(b - 1)
Let -15*v**3 - 30929922*v**2 + 6185985*v = 0. What is v?
-2061995, 0, 1/5
Find i, given that -3*i**5 - 156345*i**4 - 2051212293*i**3 - 370266021579*i**2 - 1454404579944*i - 1086189614316 = 0.
-25966, -179, -3, -1
Factor 4*x**2 + 78848*x - 11757120.
4*(x - 148)*(x + 19860)
Factor v**3/5 - 1073997*v**2/5 - 2147997*v/5 - 1073999/5.
(v - 1073999)*(v + 1)**2/5
Determine y so that -5*y**3 - 11935*y**2 + 867650*y - 12142520 = 0.
-2458, 19, 52
Suppose 2*z**2/7 + 71920418*z/7 + 71920416/7 = 0. What is z?
-35960208, -1
Factor -5*x**4 + 365160*x**3 - 6668186670*x**2 + 39999261240*x - 59993962605.
-5*(x - 36513)**2*(x - 3)**2
What is q in q**3/2 + 356186*q**2 - 4274259*q/2 + 3205701 = 0?
-712378, 3
Factor 2*j**3/17 + 31630180*j**2/17 + 125058567484224*j/17 + 250117008447744/17.
2*(j + 2)*(j + 7907544)**2/17
Find s such that -5*s**2 - 26400*s - 25201395 = 0.
-40