olve -25*q**2 - 651055*q + 520860 = 0 for q.
-26043, 4/5
Solve -3*g**2 + 57003*g = 0 for g.
0, 19001
Suppose -2*c**4 - 382*c**3 - 11298*c**2 - 21458*c - 10540 = 0. What is c?
-155, -34, -1
Solve 25*i**5/3 - 23945*i**4/3 - 6737081*i**3/3 - 417658723*i**2/3 + 337366904*i/3 - 67689580/3 = 0 for i.
-119, 2/5, 1195
Find y, given that y**5/6 - 239*y**4/2 + 5650*y**3/3 - 9838*y**2 + 16824*y = 0.
0, 4, 6, 701
Let o**5 + 60*o**4 - 3628*o**3 - 246944*o**2 - 1787328*o - 3444736 = 0. Calculate o.
-58, -4, 64
Factor 2*h**3 + 110*h**2 + 1900*h + 10000.
2*(h + 10)*(h + 20)*(h + 25)
Solve s**4 + 87*s**3 + 408*s**2 - 188*s - 1968 = 0 for s.
-82, -4, -3, 2
Factor 2*i**2/7 - 674160*i/7 + 56811463200/7.
2*(i - 168540)**2/7
Determine z, given that -z**3/12 - 887*z**2 + 127885*z/12 + 11544 = 0.
-10656, -1, 13
Determine u, given that u**3 - 484*u**2 + 3808*u = 0.
0, 8, 476
Factor 5*f**3 - 62190*f**2 - 373275*f - 559980.
5*(f - 12444)*(f + 3)**2
Factor 2*w**4/11 - 70*w**3/11 + 608*w**2/11.
2*w**2*(w - 19)*(w - 16)/11
Factor 4*i**2/3 - 90344*i/3 + 510127396/3.
4*(i - 11293)**2/3
Suppose l**2/3 - 11915*l/3 + 23818 = 0. What is l?
6, 11909
Find p, given that 4*p**4 + 27228*p**3 + 46403268*p**2 + 231499268*p + 277603224 = 0.
-3401, -3, -2
Let -4*r**5 + 2716*r**4 - 480928*r**3 + 6740672*r**2 - 20993024*r - 28217344 = 0. What is r?
-1, 8, 332
Factor 3*c**3/2 + 8784*c**2 - 17574*c.
3*c*(c - 2)*(c + 5858)/2
Factor x**3/3 + 38942*x**2/3 + 379119841*x/3.
x*(x + 19471)**2/3
Factor 16*i**3 + 228*i**2 + 584*i + 132.
4*(i + 3)*(i + 11)*(4*i + 1)
Find z, given that -169*z**4/4 + 5941*z**3/4 - 59515*z**2/4 + 154875*z/4 + 55125 = 0.
-1, 105/13, 20
Factor -4*g**3/9 + 7304*g**2/9 - 3348836*g/9 + 13278736/9.
-4*(g - 911)**2*(g - 4)/9
Factor l**2 + 70*l - 4104.
(l - 38)*(l + 108)
Solve -5*w**4 + 235*w**3 - 3180*w**2 + 15260*w - 19600 = 0.
2, 7, 10, 28
Suppose -2*k**2 + 312*k - 6550 = 0. Calculate k.
25, 131
Suppose 5*i**3 + 481000*i**2 - 962015*i + 481010 = 0. Calculate i.
-96202, 1
Solve -4*k**5 - 4*k**4 + 44*k**3 + 36*k**2 - 72*k = 0.
-3, -2, 0, 1, 3
Determine k so that -k**5 + 13*k**4 - 23*k**3 - 157*k**2 + 312*k + 432 = 0.
-3, -1, 4, 9
Suppose -6*y**4 + 25329*y**3 + 114081*y**2 + 88764*y - 76068 = 0. Calculate y.
-3, -2, 1/2, 4226
What is j in -3*j**4 - 560*j**3 - 926*j**2 - 184*j + 185 = 0?
-185, -1, 1/3
Factor 2*d**4 + 68*d**3 + 526*d**2 + 460*d.
2*d*(d + 1)*(d + 10)*(d + 23)
Determine p, given that 2*p**4 - 7614*p**3 - 61014*p**2 - 99178*p - 45780 = 0.
-6, -1, 3815
Factor 4*c**3 - 4864*c**2.
4*c**2*(c - 1216)
Factor 3*c**2/4 - 55647*c/2 + 55644.
3*(c - 37096)*(c - 2)/4
Find f such that -f**4 + 31*f**3 - 83*f**2 - 1615*f - 1500 = 0.
-5, -1, 12, 25
Suppose 2*c**4/7 + 164*c**3/7 - 6*c**2/7 - 488*c/7 + 328/7 = 0. What is c?
-82, -2, 1
Factor 14045*l**3 + 281960*l**2 + 21220*l + 400.
5*(l + 20)*(53*l + 2)**2
Find l, given that l**2/4 + 116*l - 944 = 0.
-472, 8
Let 3*h**2 + 39816*h - 39819 = 0. What is h?
-13273, 1
Factor 20*t**3/3 + 79*t**2/6 - 1261*t/3 + 21/2.
(t - 7)*(t + 9)*(40*t - 1)/6
Factor 2*l**2 - 1995660*l + 497832354450.
2*(l - 498915)**2
Factor -24*b**4/7 - 329*b**3 - 73632*b**2/7 - 783360*b/7 + 32768/7.
-(b + 32)**3*(24*b - 1)/7
Let -14*b**2/3 + 341828*b/3 - 97664/3 = 0. Calculate b.
2/7, 24416
Let 2*r**3/9 - 12*r**2 - 1358*r/9 + 1664/3 = 0. Calculate r.
-13, 3, 64
Find c, given that -2*c**3/15 - 254*c**2/15 - 1360*c/3 + 27744/5 = 0.
-68, 9
Determine a so that -24*a**4 - 340*a**3 + 5128*a**2 - 12960*a - 2304 = 0.
-24, -1/6, 4, 6
Factor 9*d**3/4 - 60369*d**2/2 + 40243*d - 13414.
(d - 13414)*(3*d - 2)**2/4
Solve -49*j**3/4 + 665007*j**2/4 - 94998*j + 13571 = 0 for j.
2/7, 13571
Determine p, given that p**2 + 146555*p + 146554 = 0.
-146554, -1
Suppose -i**4/2 - 907*i**3 - 2712*i**2 + 8163*i + 48897/2 = 0. Calculate i.
-1811, -3, 3
Factor u**3 - 445*u**2 + 4774*u.
u*(u - 434)*(u - 11)
Find u, given that u**5/4 - 53*u**4/2 + 613*u**3/4 - 328*u**2 + 301*u - 100 = 0.
1, 2, 100
Suppose -7*z**5/3 - 2*z**4/3 + 451*z**3 + 7552*z**2/3 + 320*z/3 - 3072 = 0. Calculate z.
-8, -9/7, 1, 16
Solve -r**3/4 - 5623*r**2/2 - 7935368*r - 173219992 = 0.
-5612, -22
Find f such that 125*f**3 + 1422775*f**2 - 1138280*f + 227660 = 0.
-11383, 2/5
Factor 4*g**3 + 724*g**2 + 8280*g - 76608.
4*(g - 6)*(g + 19)*(g + 168)
Factor -2*l**2/5 - 3768*l/5 - 78246/5.
-2*(l + 21)*(l + 1863)/5
Let 15*t**5 + 65*t**4 - 415*t**3 + 215*t**2 + 120*t = 0. Calculate t.
-8, -1/3, 0, 1, 3
Let 4*y**5 - 968*y**4 - 21600*y**3 - 128648*y**2 - 196388*y - 88368 = 0. Calculate y.
-12, -7, -1, 263
Factor -2*c**4 + 182*c**3 + 250*c**2 - 6198*c + 11592.
-2*(c - 92)*(c - 3)**2*(c + 7)
Factor 5*s**2 + 4280*s.
5*s*(s + 856)
Find m, given that -m**3/2 - 351*m**2 - 4108*m + 22080 = 0.
-690, -16, 4
Factor -85*s**2 + 100375*s + 11810.
-5*(s - 1181)*(17*s + 2)
Solve -3*t**4/7 - 186*t**3/7 - 423*t**2/7 + 76260*t/7 - 504300/7 = 0 for t.
-41, 10
Suppose -5*k**2 + 2806000*k - 393681800000 = 0. Calculate k.
280600
Factor u**2/2 - 4146*u - 8293/2.
(u - 8293)*(u + 1)/2
Factor 3*f**3 - 15*f**2 - 522*f + 1080.
3*(f - 15)*(f - 2)*(f + 12)
Factor -w**2 + 79599*w.
-w*(w - 79599)
Factor -3*h**2 - 41382*h + 124173.
-3*(h - 3)*(h + 13797)
Suppose 4*x**5 - 1420*x**4 + 19336*x**3 - 82256*x**2 + 142112*x - 87296 = 0. What is x?
2, 8, 341
Let -c**4 - 202*c**3 - 4072*c**2 - 20160*c = 0. What is c?
-180, -14, -8, 0
Factor -t**3 - 79*t**2 - 1238*t + 2800.
-(t - 2)*(t + 25)*(t + 56)
Factor 4*h**4 + 138820*h**3 - 416484*h**2 + 416492*h - 138832.
4*(h - 1)**3*(h + 34708)
Solve -4*g**3/9 - 512*g**2/9 - 5188*g/3 + 5712 = 0.
-68, -63, 3
Let l**2/3 - 110*l + 329/3 = 0. What is l?
1, 329
What is b in -b**5/8 + 15*b**4/4 - 301*b**3/8 + 126*b**2 + 143*b/2 - 726 = 0?
-2, 4, 6, 11
Let 4*r**2 + 8936*r - 290048 = 0. What is r?
-2266, 32
Determine s so that -4*s**4 - 532*s**3 + 3436*s**2 + 13972*s + 10008 = 0.
-139, -2, -1, 9
Factor -f**4 + 928*f**3 - 229632*f**2 + 6651904*f - 51380224.
-(f - 448)**2*(f - 16)**2
Factor r**3/3 + 11*r**2 + 146*r/3 + 56.
(r + 2)*(r + 3)*(r + 28)/3
Find b such that -5*b**5 - 4060*b**4 + 41155*b**3 + 45210*b**2 = 0.
-822, -1, 0, 11
Factor 2*b**5 + 196*b**4 + 6696*b**3 + 88412*b**2 + 297910*b.
2*b*(b + 5)*(b + 31)**3
Factor k**4/3 - 2392*k**3/3 - 2393*k**2/3.
k**2*(k - 2393)*(k + 1)/3
Find p, given that -p**5/10 - 82277*p**4/10 - 16455*p**3/2 + 82277*p**2/10 + 41138*p/5 = 0.
-82276, -1, 0, 1
Suppose -4*w**4 + 696*w**3 + 2896*w**2 - 8544*w = 0. What is w?
-6, 0, 2, 178
What is v in -v**5/8 + 85*v**4 - 57459*v**3/4 - 28985*v**2 - 116281*v/8 = 0?
-1, 0, 341
Factor 16*h**2/5 + 2739692*h/5 + 410952.
4*(h + 171230)*(4*h + 3)/5
Solve 28*z**5 + 3683*z**4 + 5587*z**3 - 413*z**2 - 2995*z - 650 = 0 for z.
-130, -1, -1/4, 5/7
Find v, given that -v**4/5 - 282674*v**3/5 - 19976430241*v**2/5 - 39952012464*v/5 - 19975864896/5 = 0.
-141336, -1
Find y, given that -2*y**3/9 + 240*y**2 - 8424*y + 75168 = 0.
18, 1044
Let -2*a**5 - 56*a**4 + 1350*a**3 + 37908*a**2 = 0. What is a?
-27, 0, 26
Solve 2*q**3/3 - 274*q**2/3 + 248*q/3 + 1088 = 0 for q.
-3, 4, 136
What is l in 2*l**4/9 + 2300*l**3/9 - 4616*l**2/9 - 9200*l/9 + 2048 = 0?
-1152, -2, 2
Find n such that -2*n**3/7 + 7942*n**2/7 = 0.
0, 3971
Determine f, given that -f**5/4 + 6*f**4 - 41*f**3 + 60*f**2 = 0.
0, 2, 10, 12
Let -25*w**5/3 - 32065*w**4 - 92332460*w**3/3 + 129805980*w**2 - 24729840*w = 0. Calculate w.
-1926, 0, 1/5, 4
Suppose 22*s**5 + 5548*s**4/7 + 7690*s**3/7 - 14624*s**2 - 107384*s/7 - 2720/7 = 0. Calculate s.
-34, -5, -1, -2/77, 4
Factor -2*p**3/5 - 188*p**2/5 - 546*p/5.
-2*p*(p + 3)*(p + 91)/5
Factor 4*n**2 - 1097576*n + 75292067236.
4*(n - 137197)**2
Solve 4*c**3 - 4*c**2 - 1476*c - 4284 = 0.
-17, -3, 21
Suppose -y**4/5 - 5933*y**3/5 - 5932*y**2/5 = 0. Calculate y.
-5932, -1, 0
Solve 5*y**5 - 1595*y**4 + 2975*y**3 + 62555*y**2 - 235280*y + 221900 = 0 for y.
-7, 2, 5, 317
Determine u, given that 136*u**4/7 - 35878*u**3/7 - 42906*u**2/7 - 6362*u/7 + 530/7 = 0.
-1, -1/4, 1/17, 265
Factor 2*y**3/7 - 904*y**2/7 - 918*y/7 + 5436/7.
2*(y - 453)*(y - 2)*(y + 3)/7
Factor -5*p**3/6 + 265*p**2/3 - 7645*p/6 + 3560/3.
-5*(p - 89)*(p - 16)*(p - 1)/6
Factor 5*x**2 - 1209065*x + 1209060.
5*(x - 241812)*(x - 1)
Find g such that -3*g**4 + 969*g**3 - 53886*g**2 + 52920*g = 0.
0, 1, 70, 252
Factor -u**3/3 - 906*u**2 - 72