 = 0.
0, 2/1357, 1, 25
Find s such that -3*s**4/8 + 27*s**3/2 + 81*s**2/4 - 483*s/2 + 1665/8 = 0.
-5, 1, 3, 37
Find o, given that o**5/6 + 2*o**4 + 25*o**3/6 - 5*o**2 - 58*o/3 - 12 = 0.
-9, -2, -1, 2
Find r such that r**2/9 + 19079*r/9 + 19078/9 = 0.
-19078, -1
Determine f, given that -14*f**3 - 130*f**2 + 302*f - 158 = 0.
-79/7, 1
Let 6*b**5/13 - 4*b**4/13 - 1334*b**3/13 - 1284*b**2/13 + 58520*b/13 + 19600/13 = 0. What is b?
-10, -1/3, 7, 14
Factor 4*d**2 + 196*d + 376.
4*(d + 2)*(d + 47)
Suppose 5*h**2 + 24100*h + 24095 = 0. What is h?
-4819, -1
Solve -2*q**4/9 - 34*q**3/9 - 152*q**2/9 - 40*q/3 = 0.
-10, -6, -1, 0
Factor 5*d**4 - 390*d**3 + 8300*d**2 - 25530*d - 34225.
5*(d - 37)**2*(d - 5)*(d + 1)
Suppose -4*d**2 - 118640*d + 118644 = 0. Calculate d.
-29661, 1
Factor -2*u**3/5 - 1528*u**2/5 + 364182*u/5 + 336759948/5.
-2*(u - 454)*(u + 609)**2/5
Factor 3*n**3/8 - 399*n**2/4 - 15093*n/8 - 17253/2.
3*(n - 284)*(n + 9)**2/8
Factor 5*t**2 - 19025*t - 38070.
5*(t - 3807)*(t + 2)
Find n such that -2*n**5 - 186*n**4 - 538*n**3 + 186*n**2 + 540*n = 0.
-90, -3, -1, 0, 1
Determine i so that i**3/6 - 109*i**2/6 + 623*i/6 - 515/6 = 0.
1, 5, 103
Find m, given that 49149696027*m**2 + 1535964*m + 12 = 0.
-2/127997
What is x in -x**3/2 + 881*x**2/2 - 117019*x/2 - 36818061/2 = 0?
-141, 511
Factor -t**3 + 458*t**2 - 31499*t + 31042.
-(t - 374)*(t - 83)*(t - 1)
Factor -1465*q**3 - 2373310*q**2 - 961202700*q - 6561000.
-5*(q + 810)**2*(293*q + 2)
Find p, given that 5829*p**3 - 9*p**2/2 = 0.
0, 3/3886
Find l such that 2*l**2 + 362587*l/2 - 90647/2 = 0.
-90647, 1/4
Factor o**2/4 - 47404*o + 2247139216.
(o - 94808)**2/4
Factor 23*u**4 + 550*u**3 + 4092*u**2 + 8840*u - 800.
(u + 4)*(u + 10)**2*(23*u - 2)
Find m such that 17*m**5/5 + 526*m**4 + 129161*m**3/5 + 2131908*m**2/5 + 2356848*m + 1460160 = 0.
-65, -12, -12/17
Let 20*a**2 - 1008*a - 612 = 0. What is a?
-3/5, 51
Factor 2*r**2 + 760*r + 26598.
2*(r + 39)*(r + 341)
Find i such that 2*i**2 + 73112*i + 668170568 = 0.
-18278
Suppose -h**4 - 111*h**3 - 506*h**2 + 2544*h = 0. Calculate h.
-106, -8, 0, 3
Factor m**5 + 2472*m**4 - 14859*m**3 + 22302*m**2.
m**2*(m - 3)**2*(m + 2478)
Determine s so that -2*s**4/9 + 62*s**3/3 + 5168*s**2/9 - 14552*s/3 + 4256 = 0.
-28, 1, 6, 114
Factor -2*f**4 + 16256*f**3 - 32504*f**2.
-2*f**2*(f - 8126)*(f - 2)
Find v, given that 3*v**3/2 + 255295*v**2 + 850977*v/2 + 170195 = 0.
-170195, -1, -2/3
What is u in 88*u**5/5 + 334*u**4/5 - 32*u**3 - 334*u**2/5 + 72*u/5 = 0?
-4, -1, 0, 9/44, 1
Factor 4*c**3 - 10856*c**2 + 86656*c - 173184.
4*(c - 2706)*(c - 4)**2
Determine o so that -2*o**5/11 + 6148*o**4/11 - 4724732*o**3/11 - 18440*o**2/11 + 14161918*o/11 + 9449476/11 = 0.
-1, 2, 1537
Factor 45*t**2 - 17286*t + 2304.
3*(t - 384)*(15*t - 2)
Suppose u**5 + 46*u**4 + 485*u**3 - 1180*u**2 - 18756*u - 17136 = 0. Calculate u.
-28, -17, -6, -1, 6
Factor 3*r**5/4 + 597*r**4/4 + 7350*r**3 - 7500*r**2.
3*r**2*(r - 1)*(r + 100)**2/4
What is y in y**2 - 18010*y + 18009 = 0?
1, 18009
Let -d**3/2 - 253*d**2 - 2509*d/2 - 1002 = 0. Calculate d.
-501, -4, -1
Solve -m**4 + 45778*m**3 - 523768969*m**2 - 3143849928*m - 4716392976 = 0.
-3, 22892
Find u, given that u**2/2 + 178147*u + 31736353609/2 = 0.
-178147
Factor 2*r**2 - 3356*r - 3358.
2*(r - 1679)*(r + 1)
Determine o so that -10*o**3/3 - 8047*o**2 - 4856968*o - 1456849/3 = 0.
-1207, -1/10
Factor s**2/9 - 449*s/9 + 446/3.
(s - 446)*(s - 3)/9
Factor -7*n**3 - 38*n**2 - 57*n - 18.
-(n + 2)*(n + 3)*(7*n + 3)
Suppose 6*n**5/5 - 4042*n**4/5 - 34054*n**3/5 - 31446*n**2/5 + 10088*n + 19096/5 = 0. Calculate n.
-7, -2, -1/3, 1, 682
Factor -2*o**3/3 + 2816*o**2/3 + 80024*o/3 + 562912/3.
-2*(o - 1436)*(o + 14)**2/3
Find x such that 10*x**3 - 956*x**2 - 13344*x - 5184 = 0.
-12, -2/5, 108
Suppose 4*m**4/9 + 584692*m**3/9 = 0. What is m?
-146173, 0
Solve -3*w**3/4 + 21624*w**2 + 1211385*w/4 + 2120181/2 = 0.
-7, 28846
What is a in -4*a**3 + 2404*a**2 - 33068*a + 115052 = 0?
7, 587
Suppose -2*t**4 - 180620*t**3 - 4077948050*t**2 = 0. Calculate t.
-45155, 0
Let 3*d**2/7 - 72*d + 16836/7 = 0. Calculate d.
46, 122
What is d in -d**3/4 + 9431*d**2/4 - 18859*d/4 + 9429/4 = 0?
1, 9429
Factor -5*o**3 + 155*o**2 - 795*o + 1125.
-5*(o - 25)*(o - 3)**2
Solve -3*n**3/4 - 25599*n**2/4 - 153513*n/4 - 230229/4 = 0.
-8527, -3
Factor 5*r**4 - 140*r**3 - 1380*r**2 - 2160*r.
5*r*(r - 36)*(r + 2)*(r + 6)
Factor j**2/3 - 414*j + 6135.
(j - 1227)*(j - 15)/3
Factor -l**2 - 159839*l.
-l*(l + 159839)
Factor 2*b**2/9 + 98*b/9 - 2204/3.
2*(b - 38)*(b + 87)/9
What is u in 9265416192*u**2 - 272256*u + 2 = 0?
1/68064
Factor 5*t**2/3 - 5870*t/3 + 13615.
5*(t - 1167)*(t - 7)/3
Factor m**3/5 + 564*m**2/5 + 41021*m/5 - 41586/5.
(m - 1)*(m + 87)*(m + 478)/5
Find v, given that -v**3/4 - 9841*v**2/4 - 98335*v/4 - 245775/4 = 0.
-9831, -5
Solve 2*f**2/7 - 6794*f - 95124/7 = 0 for f.
-2, 23781
Solve -14*t**3/15 - 974*t**2/3 - 141056*t/5 + 20184/5 = 0.
-174, 1/7
Determine u, given that 5*u**5 - 5820*u**4 + 131995*u**3 - 891080*u**2 + 1253100*u + 2282000 = 0.
-1, 4, 10, 1141
Factor -o**2 + 127*o + 660.
-(o - 132)*(o + 5)
Determine z so that -2*z**4/19 - 1154*z**3/19 - 1120*z**2/19 + 968*z - 23040/19 = 0.
-576, -5, 2
Factor -36839*o**2 - 9*o.
-o*(36839*o + 9)
Suppose -m**2 - 245373*m + 490750 = 0. What is m?
-245375, 2
Let 4*l**3 - 548*l**2 - 49108*l - 48556 = 0. Calculate l.
-61, -1, 199
Determine l so that -3*l**2/5 - 696*l/5 - 3105 = 0.
-207, -25
Find q such that 3*q**4 - 210*q**3 - 299952*q**2 - 30704640*q - 60211200 = 0.
-160, -2, 392
Suppose 3*b**2 - 25890*b - 129525 = 0. What is b?
-5, 8635
What is x in -4*x**2 + 852*x - 26048 = 0?
37, 176
Factor -34*s**2 + 18908*s + 16710.
-2*(s - 557)*(17*s + 15)
Let 5*q**4/6 - 55*q**3 - 2215*q**2/2 + 3485*q/3 = 0. What is q?
-17, 0, 1, 82
Factor g**2 + 1595*g + 81726.
(g + 53)*(g + 1542)
Factor 3*j**4/4 + 15*j**3/2 + 69*j**2/4 + 21*j/2.
3*j*(j + 1)*(j + 2)*(j + 7)/4
Determine a, given that -24*a**3 - 100*a**2 + 24*a + 100 = 0.
-25/6, -1, 1
Suppose -5*l**3 + 2140*l**2 + 12975*l + 19530 = 0. What is l?
-3, 434
Solve 7663*y**2 + 7662*y - 1 = 0 for y.
-1, 1/7663
What is z in 10*z**4/3 - 464*z**3 + 3028*z**2/3 - 640*z + 274/3 = 0?
1/5, 1, 137
Solve 2*d**2/13 - 900*d/13 + 5824 = 0 for d.
112, 338
Factor u**3/5 + 282*u**2/5 + 23808*u/5 + 522784/5.
(u + 34)*(u + 124)**2/5
Determine o so that o**2/3 + 3768*o + 10648368 = 0.
-5652
Solve -484*y**4/3 + 22924*y**3/3 + 100168*y**2 - 111536*y/3 + 10208/3 = 0 for y.
-11, 2/11, 58
Determine a, given that 4*a**5/9 - 224*a**4 + 3964*a**3/9 + 2896*a**2 + 20080*a/9 = 0.
-2, -1, 0, 5, 502
Factor 35*b**3 + 11545*b**2 + 77485*b - 11305.
5*(b + 7)*(b + 323)*(7*b - 1)
Suppose 2*c**4/3 + 176*c**3/9 - 572*c**2/9 - 11536*c/3 - 1274 = 0. What is c?
-21, -1/3, 13
Determine z, given that 13*z**2/2 + 65324*z - 10050 = 0.
-10050, 2/13
Suppose -3*h**2 - 75141*h + 75144 = 0. Calculate h.
-25048, 1
Factor -7*z**4/2 + 59774*z**3 - 17078*z**2.
-z**2*(z - 17078)*(7*z - 2)/2
Factor -4*m**3 - 7456*m**2 + 7468*m + 14920.
-4*(m - 2)*(m + 1)*(m + 1865)
Suppose 55*f**5 - 15700*f**4 + 61590*f**3 + 94860*f**2 - 558765*f + 417960 = 0. Calculate f.
-3, 1, 3, 3096/11
Let -575*h**5 + 69002*h**4/3 - 617630*h**3/3 - 1448284*h**2/3 - 253015*h + 294 = 0. What is h?
-1, 2/1725, 21
Factor -2*m**2/7 + 5454*m/7 + 5468.
-2*(m - 2734)*(m + 7)/7
What is f in f**3/4 - 33*f**2 - 2353*f/4 - 555 = 0?
-15, -1, 148
Let -b**5 + 40*b**4 - 29*b**3 - 382*b**2 - 312*b = 0. What is b?
-2, -1, 0, 4, 39
Solve 4*h**3 - 14268*h**2 - 71496*h + 200032 = 0.
-7, 2, 3572
Factor 66603*o**2/7 + 2780340*o/7 + 29016300/7.
3*(149*o + 3110)**2/7
Find u, given that 3*u**5 + 6123*u**4 + 85239*u**3 + 212901*u**2 + 133782*u = 0.
-2027, -11, -2, -1, 0
Determine q, given that -5351*q**2/4 - 2675*q + 1 = 0.
-2, 2/5351
Determine y so that -4*y**2 - 7520*y + 52836 = 0.
-1887, 7
Suppose 12*i**3/11 + 570*i**2/11 + 114*i - 2376 = 0. Calculate i.
-44, -9, 11/2
Let 3*v**4 + 1059*v**3 - 126630*v**2 - 257472*v = 0. Calculate v.
-447, -2, 0, 96
Factor -c**2/6 - 4997*c/6.
-c*(c + 4997)/6
Determine z so that -3*z**2 - 2253*z - 22230 = 0.
-741, -10
Factor k**4/4 + 241*k**3/4 + 815*k**2/2 - 468*k.
k*(k - 1)*(k + 8)*(k + 234)/4
Factor -t**3/4 - 8809*t**2/4 + 17621*t/4 - 8811/4.
-(t - 1)**2*(t + 8811)/4
Solve -2*x**2 - 64114*