
Factor 2*r**2 - 826224*r + 85330762272.
2*(r - 206556)**2
Factor -5*z**2 - 28938530*z - 578768600.
-5*(z + 20)*(z + 5787686)
Factor -i**2 - 583192*i/7 + 71412.
-(i + 83314)*(7*i - 6)/7
Factor -2*a**2/7 - 358292*a - 5016080/7.
-2*(a + 2)*(a + 1254020)/7
Let 3002*z**5/9 + 1155112*z**4 + 280960*z**3/9 - 10409860*z**2/9 - 94654*z/3 + 13852/9 = 0. What is z?
-3463, -1, -1/19, 2/79, 1
Determine u so that -250*u**4/3 + 538*u**3/3 + 3364*u**2/3 + 2576*u/3 = 0.
-2, -1, 0, 644/125
Factor 2*j**2/3 - 116360*j/3 - 349134.
2*(j - 58189)*(j + 9)/3
Factor h**2/2 + 8164*h + 27950055/2.
(h + 1943)*(h + 14385)/2
Factor -5*h**3 - 136495*h**2 - 16867720*h - 522303500.
-5*(h + 62)**2*(h + 27175)
Determine o so that 16258*o**3 - 40606*o**2 + 24348*o = 0.
0, 1, 12174/8129
Factor -2*l**2/9 - 39688*l/3 + 65483930/9.
-2*(l - 545)*(l + 60077)/9
Suppose 2*h**5/3 + 530*h**4/3 - 10814*h**3/3 - 11772362*h**2/3 - 256139220*h - 1183152000 = 0. Calculate h.
-157, -96, -5, 150
Factor 2*a**3/21 - 150566*a**2/3.
2*a**2*(a - 526981)/21
Suppose -i**5/8 + 11*i**4/4 + 19197*i**3/8 + 85603*i**2/4 + 56888*i + 37884 = 0. Calculate i.
-123, -4, -1, 154
Factor 5*z**2 + 28025*z - 5475330.
5*(z - 189)*(z + 5794)
Factor -d**2/3 + 3074*d/3 + 2280929.
-(d - 4571)*(d + 1497)/3
Let 2*t**3 - 2716*t**2 + 358838*t - 8573484 = 0. What is t?
31, 114, 1213
Determine z, given that -3*z**4 + 1252152*z**3 + 7512993*z**2 + 11269530*z = 0.
-3, 0, 417390
Solve -4*g**3 + 689772*g**2 - 60668960*g = 0 for g.
0, 88, 172355
Suppose 3*v**5/5 + 2331*v**4 - 2316486*v**3/5 - 5321916*v**2 - 59083992*v/5 + 17599680 = 0. What is v?
-4074, -6, 1, 200
Suppose 3*q**3 - 5706*q**2 + 1365792*q - 5372064 = 0. Calculate q.
4, 276, 1622
Factor -2*f**2/9 + 2662*f - 71496880/9.
-2*(f - 6344)*(f - 5635)/9
Solve 3*j**5/7 - 6138*j**4/7 - 11514*j**3 + 606804*j**2/7 + 9708435*j/7 + 16443174/7 = 0 for j.
-11, -2, 11, 2059
Solve -2*u**3 - 7100088*u**2 + 56800850*u + 63900936 = 0 for u.
-3550052, -1, 9
Factor 3*o**3 - 5701527*o**2 - 5701530*o.
3*o*(o - 1900510)*(o + 1)
Suppose -225*u**4 - 1373115*u**3 - 2379274*u**2 + 707708*u - 48808 = 0. Calculate u.
-6101, -2, 2/15
Solve 2*s**4 + 345866*s**3 - 345868*s**2 = 0 for s.
-172934, 0, 1
Factor y**3/8 - 2195883*y**2/8 + 150683755962*y + 753425641960.
(y - 1097944)**2*(y + 5)/8
Factor -3*r**2 - 26472*r + 185451.
-3*(r - 7)*(r + 8831)
Factor -5*r**3/2 - 322945*r**2 + 40074010*r - 1242592220.
-5*(r - 62)**2*(r + 129302)/2
Let 12304*g**3 + 98410*g**2 + 85952*g - 154 = 0. Calculate g.
-7, -1, 11/6152
Suppose -c**3/3 - 7700*c**2/3 + 30821*c/3 + 12840 = 0. What is c?
-7704, -1, 5
What is n in 92*n**3 - 4949456*n**2 + 66574271472*n - 162064538496 = 0?
56/23, 26898
Determine c, given that c**4 + 658580*c**3 + 1975734*c**2 + 1975732*c + 658577 = 0.
-658577, -1
Find h such that 21904*h**5 + 490176*h**4 - 872268*h**3 - 437276*h**2 + 903264*h = 0.
-24, -1, 0, 97/74
Factor -d**4/5 + 305971*d**3 + 18358356*d**2/5 + 73433552*d/5 + 97911488/5.
-(d - 1529867)*(d + 4)**3/5
Let -2*w**4/17 - 2136*w**3/17 + 227436*w**2/17 - 4217576*w/17 + 21745878/17 = 0. What is w?
-1167, 11, 77
Determine z, given that z**5 - 1318*z**4 - 60698*z**3 - 865324*z**2 - 3958631*z - 4920430 = 0.
-19, -5, -2, 1363
Factor -4*c**3 + 4620*c**2 - 203672*c - 425856.
-4*(c - 1109)*(c - 48)*(c + 2)
Determine a so that a**3/6 - 5897*a**2/3 + 215233*a/2 - 105651 = 0.
1, 54, 11739
Let 2*u**2 - 10477454*u - 20954916 = 0. Calculate u.
-2, 5238729
Determine d, given that -4*d**5 - 1912*d**4 - 303616*d**3 - 18505728*d**2 - 481296384*d - 4529848320 = 0.
-192, -32, -30
Factor 2*u**2/5 + 2408564*u/5 - 4817136/5.
2*(u - 2)*(u + 1204284)/5
Factor 26*x**2/3 - 141077*x/2 + 8139/2.
(x - 8139)*(52*x - 3)/6
Solve -4*c**4 + 15436*c**3 - 77080*c**2 = 0.
0, 5, 3854
Factor q**2 - 13475346*q + 45396237454929.
(q - 6737673)**2
Find c such that -3*c**5 - 978*c**4 - 105240*c**3 - 4134864*c**2 - 49910640*c + 117218400 = 0.
-130, -34, 2
Let 13823282*u**2/3 + 8286608*u + 3725664 = 0. Calculate u.
-2364/2629
Let i**5/4 - 24943*i**4/4 - 449261*i**3/4 - 923953*i**2/4 + 2471260*i - 3020281 = 0. What is i?
-11, 2, 24961
Suppose -1452*h**5/7 + 133306*h**4/7 - 435266*h**3 - 587696*h**2/7 - 12696*h/7 = 0. Calculate h.
-1/6, -3/121, 0, 46
Let -5*i**5 - 1060*i**4 - 15245*i**3 + 85910*i**2 + 126400*i - 196000 = 0. Calculate i.
-196, -20, -2, 1, 5
Suppose -j**3/8 - 4849*j**2 - 96017165*j/2 - 18965189150 = 0. What is j?
-19190, -412
Factor -2*m**2/7 - 358652668*m/7 - 16078967032939778/7.
-2*(m + 89663167)**2/7
Factor 2*p**2/21 - 3739678*p/21 + 2493116/7.
2*(p - 1869837)*(p - 2)/21
Determine t so that t**3/10 + 42219*t**2/5 + 182610960*t + 916043449328/5 = 0.
-41692, -1054
Factor 5*x**3 - 135810*x**2 - 6532965*x + 69793650.
5*(x - 27210)*(x - 9)*(x + 57)
Factor -2*x**2 - 11036*x - 362010.
-2*(x + 33)*(x + 5485)
Determine l so that -2*l**3/3 + 2092*l**2/3 + 98448*l = 0.
-126, 0, 1172
Determine t so that -t**3/3 + 3850*t**2/3 - 3447959*t/3 + 3444110/3 = 0.
1, 1415, 2434
What is u in -2*u**2 - 200624*u - 15636504 = 0?
-100234, -78
Find h, given that -30*h**5 - 19264*h**4 - 3151008*h**3 - 18774752*h**2 - 26717088*h - 3235968 = 0.
-318, -4, -2, -2/15
Solve 3*o**5/5 + 1839*o**4/5 + 277578*o**3/5 - 3422454*o**2 - 847324905*o + 18715014675 = 0 for o.
-245, 21, 101
Factor -y**2 + 489659*y + 2448320.
-(y - 489664)*(y + 5)
What is r in -55*r**3 - 317705*r**2 + 809000*r - 346740 = 0?
-5779, 6/11, 2
Find o, given that -5*o**5 - 205*o**4 + 330*o**3 + 60320*o**2 + 117760*o = 0.
-32, -23, -2, 0, 16
Factor 2*k**2/9 - 1361756*k/3.
2*k*(k - 2042634)/9
Let 5*n**2 - 556065*n - 18911990 = 0. What is n?
-34, 111247
Solve -l**5 - 1809*l**4 + 40205*l**3 - 140895*l**2 + 168416*l - 65916 = 0.
-1831, 1, 2, 18
Solve u**4/9 - 1978*u**3 + 284615*u**2/9 - 231218*u/3 = 0.
0, 3, 13, 17786
Solve -2*g**5/19 + 1806*g**4/19 - 392030*g**3/19 - 7093278*g**2/19 - 23204240*g/19 - 16504800/19 = 0 for g.
-13, -3, -1, 460
Solve 5*y**3 - 55265*y**2 + 151292000*y + 7860299520 = 0.
-51, 5552
Find t such that -t**3/3 - 85973*t**2 - 5543732473*t - 83149539245/3 = 0.
-128957, -5
Let -2*f**3/5 - 1496118*f**2/5 + 1496124*f/5 + 598448 = 0. What is f?
-748060, -1, 2
Find p, given that 2*p**5/3 + 2565770*p**4/3 + 855254*p**3 - 7697306*p**2/3 - 2565764*p/3 + 1710512 = 0.
-1282884, -2, -1, 1
Find x such that -4*x**3 + 129036*x**2/7 + 129064*x/7 = 0.
-1, 0, 32266/7
Find u such that 2*u**2 + 1510528*u + 285211854848 = 0.
-377632
Solve -4*z**5 + 6426*z**4 - 10527097*z**3/4 + 40939830*z**2 - 740959873*z/4 + 455344245/2 = 0 for z.
2, 5, 9, 3181/4
Factor 2*o**3/3 + 85888*o**2/3 - 85894*o.
2*o*(o - 3)*(o + 42947)/3
Factor -6902*a**2/3 - 10346102*a/3 - 5996/3.
-2*(a + 1499)*(3451*a + 2)/3
Factor -o**4/4 + 51*o**3/4 - 135*o**2/4 - 427*o/4 - 60.
-(o - 48)*(o - 5)*(o + 1)**2/4
Determine t so that 2*t**4/19 + 8752*t**3/19 + 16004*t**2 + 892944*t/19 - 5651982/19 = 0.
-4341, -31, -7, 3
Factor -j**2/2 + 4169*j/2 - 96867.
-(j - 4122)*(j - 47)/2
Solve -2*i**4/3 - 93524*i**3/3 + 27857158*i**2/3 - 18477912*i + 9223368 = 0 for i.
-47058, 1, 294
Find k, given that 24*k**3 - 170260*k**2 - 8371792*k + 1400028 = 0.
-49, 1/6, 7143
Factor -x**2/3 + 1504*x/3 + 2972657/3.
-(x - 2633)*(x + 1129)/3
What is i in -i**2/3 + 1700412*i + 5101237/3 = 0?
-1, 5101237
Find m such that -5*m**3 + 4035510*m**2 - 8071005*m + 4035500 = 0.
1, 807100
Suppose n**2 - 81102*n + 2675277 = 0. What is n?
33, 81069
Solve z**5/5 + 184*z**4/5 - 2359*z**3/5 - 41686*z**2/5 + 1884*z + 32760 = 0 for z.
-195, -10, -2, 2, 21
Factor -2*w**2/11 - 46324*w/11 - 42712800/11.
-2*(w + 962)*(w + 22200)/11
Solve -7234*j**2/9 + 2408*j/3 + 10/9 = 0 for j.
-5/3617, 1
Determine o so that 2*o**5/3 + 77298*o**4 + 2236013810*o**3 - 800735496622*o**2/3 + 7813642044880*o + 8082789813600 = 0.
-58033, -1, 60
Let -3*n**3/7 + 10217958*n**2/7 - 1242933576885*n - 4971757662900 = 0. What is n?
-4, 1702995
Factor -2*w**3 + 67806*w**2 + 406898*w + 339090.
-2*(w - 33909)*(w + 1)*(w + 5)
Factor -3*c**2 - 307506*c - 23046075.
-3*(c + 75)*(c + 102427)
Factor -3*m**2 - 1287186*m + 1287189.
-3*(m - 1)*(m + 429063)
Solve -w**5 + 636*w**4 - 4935*w**3 - 441224*w**2 - 1685244*w - 1655280 = 0.
-20, -2, 33, 627
Factor 15245*h**2/2 + 108655*h/4 + 3395/2.
5*(2*h + 7)*(3049*h + 194)/4
Suppose 3*k**4 + 1764*k**3 + 58614*k**2 + 304380*k + 4