 - 84*m**3 + 486*m**2 + 1620*m - 2025.
3*(m - 15)**2*(m - 1)*(m + 3)
Let 2*g**3/9 + 13430*g**2/9 + 2505814*g + 2504322 = 0. What is g?
-3357, -1
Find w, given that -4*w**4 + 408*w**3 + 864*w**2 - 3328*w = 0.
-4, 0, 2, 104
Find c such that -4*c**4/7 + 23704*c**3/7 - 35070036*c**2/7 - 140564720*c/7 - 140659600/7 = 0.
-2, 2965
What is u in 8100*u**5 + 3960*u**4 - 62075*u**3 - 70905*u**2 + 8450*u - 240 = 0?
-2, -8/5, 1/18, 3
Factor -16*z**2/5 + 7827*z/5 - 1467/5.
-(z - 489)*(16*z - 3)/5
Determine o so that 9*o**3 + 10257*o**2 + 907986*o + 600768 = 0.
-1043, -96, -2/3
Determine o so that -o**2/5 + 384*o/5 + 151492/5 = 0.
-242, 626
Factor 2*q**2 - 214*q - 2856.
2*(q - 119)*(q + 12)
Factor -2*w**4/3 - 1244*w**3 + 3736*w**2 - 11212*w/3 + 1246.
-2*(w - 1)**3*(w + 1869)/3
Factor 3*y**4 + 2472*y**3 + 7389*y**2 - 12*y - 9852.
3*(y - 1)*(y + 2)**2*(y + 821)
Factor f**3 + 70*f**2 - 3041*f - 16830.
(f - 34)*(f + 5)*(f + 99)
Suppose 3*z**4/4 - 615*z**3/2 + 24771*z**2/4 + 5191830*z + 213802092 = 0. What is z?
-63, 268
Factor -3*a**3/7 + 1389*a**2/7 + 4194*a/7.
-3*a*(a - 466)*(a + 3)/7
Find a, given that 2*a**3/3 + 240*a**2 - 30104*a/3 + 19104 = 0.
-398, 2, 36
Suppose -u**4/4 - 1753*u**3/4 - 24315*u**2/4 + 53893*u/4 - 6956 = 0. Calculate u.
-1739, -16, 1
Factor -16*f**2 - 260*f + 1296.
-4*(f - 4)*(4*f + 81)
Factor -n**2/3 + 191650*n - 27547291875.
-(n - 287475)**2/3
Determine d, given that d**2/3 - 3760*d + 112700/3 = 0.
10, 11270
Determine b so that 2*b**3 - 3052*b**2 + 702690*b + 382213800 = 0.
-244, 885
Find g such that -g**4/2 + 873*g**3 + 38791*g**2/2 + 92748*g + 127296 = 0.
-16, -3, 1768
Factor 2*p**3/7 + 54744*p**2/7 + 53414358*p - 1394065036.
2*(p - 26)*(p + 13699)**2/7
Suppose -j**3/5 + 2506*j**2/5 - 313500*j - 3145032/5 = 0. Calculate j.
-2, 1254
Let 450*v**5/7 + 36390*v**4/7 + 65792*v**3/7 - 45768*v**2/7 - 70272*v/7 + 40448/7 = 0. What is v?
-79, -8/5, 2/3
Find b such that -b**4/8 - 337*b**3/8 + 3139*b**2/8 + 8617*b/8 - 5709/4 = 0.
-346, -3, 1, 11
Suppose 3*d**5 - 69*d**4 - 1188*d**3 + 1860*d**2 + 12768*d + 9792 = 0. Calculate d.
-12, -2, -1, 4, 34
Solve 2*s**2 + 5395*s/3 + 899/3 = 0.
-899, -1/6
Let -4*g**2/3 + 736*g/3 - 1424 = 0. What is g?
6, 178
Suppose t**2/4 + 2111*t/4 - 4238 = 0. What is t?
-2119, 8
Suppose -28*z**4 + 1156*z**3 + 7428*z**2 + 4364*z - 1880 = 0. What is z?
-5, -1, 2/7, 47
Let -4*o**4 - 24*o**3 + 88*o - 60 = 0. Calculate o.
-5, -3, 1
Solve 2*w**2/5 + 2988*w/5 + 1116018/5 = 0.
-747
Let -5*i**2 - 142150*i + 426495 = 0. Calculate i.
-28433, 3
Factor 2*h**4 + 3998*h**3 + 2665332*h**2 + 593477928*h + 590816592.
2*(h + 1)*(h + 666)**3
Factor -g**4 + 188*g**3 - 2468*g**2 + 5440*g + 22272.
-(g - 174)*(g - 8)**2*(g + 2)
Determine q so that 5*q**5/4 + 34575*q**4/4 + 69135*q**3/4 + 34565*q**2/4 = 0.
-6913, -1, 0
Solve 2025*j**4/4 + 5907*j**3 + 14885*j**2/4 + 11*j/2 = 0.
-11, -2/3, -1/675, 0
What is b in 2*b**3/7 - 36408*b**2/7 - 72824*b/7 = 0?
-2, 0, 18206
Let -d**3/2 + 1669*d**2 - 3337*d/2 = 0. What is d?
0, 1, 3337
Factor 2*k**4 - 1322*k**3 + 310590*k**2 - 29588062*k + 870004408.
2*(k - 203)**3*(k - 52)
Factor -q**3/6 + 27817*q**2/6.
-q**2*(q - 27817)/6
Factor 4*j**2 - 4160*j - 4164.
4*(j - 1041)*(j + 1)
Suppose -j**3/3 + 499*j**2/3 - 10142*j/3 + 49712/3 = 0. Calculate j.
8, 13, 478
Let -6*y**4 + 28310*y**3 - 910684*y**2 + 7498112*y - 2399232 = 0. What is y?
1/3, 16, 4686
Factor v**2 + 2847*v - 5698.
(v - 2)*(v + 2849)
Solve 3*k**4/8 - 381*k**3/8 + 1770*k**2 - 32841*k/2 + 44604 = 0.
6, 56, 59
Determine y so that 900*y**5 - 30*y**4 - 32399*y**3/4 + 270*y**2 - 9*y/4 = 0.
-3, 0, 1/60, 3
Determine h so that -6702*h**3 + 80422*h**2/3 - 80416*h/3 - 8/3 = 0.
-1/10053, 2
Determine d, given that -3*d**5 + 561*d**4 + 1923*d**3 - 2453385*d**2 - 83432328*d - 766890768 = 0.
-28, -19, 131
Factor -h**3/4 + 7*h**2 + 10531*h/4 + 5251/2.
-(h - 118)*(h + 1)*(h + 89)/4
Factor -k**2 - 588950*k - 86715525625.
-(k + 294475)**2
Determine l, given that 3*l**4/8 - 117*l**3/2 + 1833*l**2/8 - 171*l = 0.
0, 1, 3, 152
Factor i**4/4 + 343*i**3/4 + 5765*i**2 - 11875*i.
i*(i - 2)*(i + 95)*(i + 250)/4
Find l, given that -2*l**3/3 - 1114*l**2/3 - 17440*l/3 - 69248/3 = 0.
-541, -8
Let 3*y**4 + 93*y**3 - 22419*y**2 - 1049505*y - 1026996 = 0. What is y?
-61, -1, 92
Let -27514*f**2 + 20*f = 0. What is f?
0, 10/13757
Determine i so that -2*i**5/7 + 68*i**4/7 - 358*i**3/7 - 572*i**2/7 + 864*i/7 = 0.
-2, 0, 1, 8, 27
Factor -3*j**5/8 - 2823*j**4/2 - 2656443*j**3/2.
-3*j**3*(j + 1882)**2/8
Solve -5*r**3 + 1692730*r**2 - 3385445*r + 1692720 = 0 for r.
1, 338544
Find w such that 5*w**5/3 + 190*w**4/3 + 625*w**3 + 6410*w**2/3 + 3520*w/3 - 4000 = 0.
-25, -6, -4, 1
Suppose -2*t**5 + 468*t**4 - 12702*t**3 + 23548*t**2 = 0. Calculate t.
0, 2, 29, 203
Let h**3 - 624*h**2 - 3787*h + 4410 = 0. What is h?
-7, 1, 630
Factor 3*a**3 - 1677*a**2 + 236856*a - 695556.
3*(a - 278)**2*(a - 3)
Suppose -3*o**2/2 - 9912*o - 16374624 = 0. What is o?
-3304
What is s in -3*s**3 + 27*s**2 + 3423*s + 3393 = 0?
-29, -1, 39
Factor 43*x**3/3 - 33*x**2.
x**2*(43*x - 99)/3
Factor -h**5 + 15*h**4 - 51*h**3 - 115*h**2 + 600*h.
-h*(h - 8)*(h - 5)**2*(h + 3)
Solve -w**5/3 - 14*w**4/3 + 44*w**3 + 1400*w**2/3 - 3200*w/3 = 0.
-16, -10, 0, 2, 10
Solve 79*n**4/4 - 27196*n**3 + 24966387*n**2/2 - 1910033946*n + 96702579/4 = 0 for n.
1/79, 459
Factor -4*c**4 - 240*c**3 - 1916*c**2 - 4080*c.
-4*c*(c + 4)*(c + 5)*(c + 51)
What is k in -5*k**2 + 317090*k - 5027303405 = 0?
31709
Let -3*i**5 - 2457*i**4 - 499371*i**3 + 1515357*i**2 - 1013526*i = 0. Calculate i.
-411, 0, 1, 2
What is j in -57245*j**5 + 405530*j**4 - 904385*j**3 + 659460*j**2 - 151380*j = 0?
0, 58/107, 3
Determine l so that -5*l**5/4 - 331*l**4/4 + 1799*l**3/4 + 6403*l**2/4 - 12177*l/2 - 1278 = 0.
-71, -4, -1/5, 3, 6
Solve -5*k**4 + 197240*k**3 - 1945180880*k**2 = 0 for k.
0, 19724
Determine m, given that -m**3 + 14650*m**2 - 14649*m = 0.
0, 1, 14649
Factor 6*m**2 + 3*m - 18.
3*(m + 2)*(2*m - 3)
Suppose 2*y**2/5 - 44*y/5 + 42/5 = 0. What is y?
1, 21
Factor -2*l**2/3 - 356694*l - 1070080/3.
-2*(l + 1)*(l + 535040)/3
Factor 49*z**3 + 777*z**2 + 3999*z + 6727.
(z + 7)*(7*z + 31)**2
Find m such that 2*m**5/3 + 38*m**4/9 - 82*m**3/9 - 2*m**2/3 + 76*m/9 - 32/9 = 0.
-8, -1, 2/3, 1
Factor o**2/6 + 1795999*o/6.
o*(o + 1795999)/6
Find d such that -4*d**2/7 + 44*d + 960/7 = 0.
-3, 80
Factor -f**4/3 - 16*f**3 - 223*f**2/3 - 116*f - 172/3.
-(f + 1)*(f + 2)**2*(f + 43)/3
Factor -y**3 - 41*y**2 - 503*y - 1615.
-(y + 5)*(y + 17)*(y + 19)
Find y, given that 49*y**3 + 80199*y**2 + 137376*y + 58860 = 0.
-1635, -6/7
Factor f**5/2 - 621*f**4/2 - 6338*f**3 - 45928*f**2 - 143328*f - 164096.
(f - 641)*(f + 4)**3*(f + 8)/2
Solve -5*b**2 - 4335*b + 79650 = 0 for b.
-885, 18
Factor -r**4/6 - 410*r**3/3 - 27325*r**2 + 850750*r/3 - 4305625/6.
-(r - 5)**2*(r + 415)**2/6
Factor -2*m**4 - 118*m**3 + 934*m**2 + 510*m - 9900.
-2*(m - 5)**2*(m + 3)*(m + 66)
Suppose 5*l**3 + 2300*l**2 + 317140*l + 11425120 = 0. Calculate l.
-202, -56
Factor 2*b**2 - 280*b + 1608.
2*(b - 134)*(b - 6)
Solve 2*m**4/9 + 36*m**3 - 346*m**2/3 - 7760*m/9 + 8800/3 = 0.
-165, -5, 4
Factor 12*g**3 - 800*g**2 - 276*g + 536.
4*(g - 67)*(g + 1)*(3*g - 2)
Let -5*q**5 - 4965*q**4 - 1719150*q**3 - 230221660*q**2 - 7894581720*q = 0. What is q?
-314, -51, 0
Suppose r**3/4 + 623*r**2/4 + 54475*r/4 - 169059/4 = 0. What is r?
-517, -109, 3
Factor 16*f**3 + 7471420*f**2 + 872219641328*f - 218055377296.
4*(f + 233482)**2*(4*f - 1)
Factor -3*q**2/2 - 1319331*q/2 + 1319337.
-3*(q - 2)*(q + 439779)/2
Factor h**2/3 - 26655*h + 79964/3.
(h - 79964)*(h - 1)/3
Let c**4 + 464*c**3 + 65325*c**2 + 2504862*c = 0. What is c?
-201, -62, 0
Determine b so that -4*b**4 + 140*b**3 - 1508*b**2 + 5140*b - 5304 = 0.
2, 3, 13, 17
Find q, given that -3*q**3/4 + 8493*q**2/4 - 5981085*q/4 - 42284781/4 = 0.
-7, 1419
Factor 4*f**3 - 608*f**2 - 47056*f + 96512.
4*(f - 208)*(f - 2)*(f + 58)
Factor 3*v**2/5 - 35682*v/5 + 1316127/5.
3*(v - 11857)*(v - 37)/5
Factor -3*m**2/5 - 526059*m/5.
-3*m*(m + 175353)/5
Solve 3*g**4 + 18228*g**3 = 0.
-6076, 0
Let 2*q**5/21 + 50*q**4/7 - 478*q**3/21 - 258*q**2/7 + 68*q/3 + 208/7 = 0. Calculate q.
-78, -1, 1, 4
Solve 5*n**4 + 240*n**3 - 7735*n**2 - 43350*n + 1375640 = 0 for n.
-68, -14, 17
Find p such that -9*p**4 - 11928*p**3 - 