231.
-(k - 19)*(k - 9)**3*(k + 381)
Factor -3*s**3 - 362607*s**2.
-3*s**2*(s + 120869)
Factor -21860*c**2 - 218675*c - 750.
-5*(c + 10)*(4372*c + 15)
Suppose 3*z**4/2 + 105*z**3 - 474*z**2 - 96873*z + 194481/2 = 0. Calculate z.
-49, 1, 27
Let 2*j**3/3 + 6758*j**2/9 + 2252*j/9 = 0. Calculate j.
-1126, -1/3, 0
Solve -k**4 + 52*k**3 + 964*k**2 - 2512*k - 8448 = 0 for k.
-16, -2, 4, 66
Factor 5*j**2 - 23415*j - 46850.
5*(j - 4685)*(j + 2)
Factor -o**2 + 963*o - 24362.
-(o - 937)*(o - 26)
Suppose p**3 + 29427*p**2 + 216501795*p + 216472369 = 0. What is p?
-14713, -1
Factor 3*j**3/5 + 1239093*j**2/5 + 25589314953*j + 25589067135.
3*(j + 1)*(j + 206515)**2/5
Solve n**2 - 196*n - 2060 = 0 for n.
-10, 206
Suppose 4*h**3 - 46528*h**2 - 93068*h - 46536 = 0. Calculate h.
-1, 11634
Determine w so that -2*w**2/19 + 36*w - 24160/19 = 0.
40, 302
Factor 2*q**3/9 - 345034*q**2/9 + 690062*q/9 - 115010/3.
2*(q - 172515)*(q - 1)**2/9
Factor -3*q**3 - 20601*q**2 + 41211*q - 20607.
-3*(q - 1)**2*(q + 6869)
Factor -2*i**4 + 732*i**3 + 43902*i**2 + 612360*i.
-2*i*(i - 420)*(i + 27)**2
Solve c**5/3 + 520*c**4/3 + 2062*c**3/3 - 348*c**2 - 2061*c + 1548 = 0 for c.
-516, -3, 1
Let t**2 + 6493*t - 19488 = 0. Calculate t.
-6496, 3
Solve 3*i**5/2 + 897*i**4/2 + 6498*i**3 + 30834*i**2 + 46008*i = 0.
-284, -6, -3, 0
Solve -s**3/6 - 140*s**2/3 - 1921*s/6 - 455 = 0 for s.
-273, -5, -2
Let -3*x**4/7 - 30*x**3/7 + 1692*x**2/7 - 3240*x/7 = 0. What is x?
-30, 0, 2, 18
Factor 4*z**2 - 34176*z.
4*z*(z - 8544)
Factor -5*g**3 + 85550*g**2.
-5*g**2*(g - 17110)
Factor 5*n**4 - 120*n**3 - 405*n**2.
5*n**2*(n - 27)*(n + 3)
What is i in -2*i**5 - 1524*i**4 - 14966*i**3 + 55596*i**2 - 39104*i = 0?
-752, -13, 0, 1, 2
Factor 3*m**4 - 234*m**3 - 4104*m**2 - 8262*m + 67797.
3*(m - 93)*(m - 3)*(m + 9)**2
Suppose 3*s**4 - 250764*s**3 + 5239964538*s**2 + 10480681380*s + 5240466075 = 0. Calculate s.
-1, 41795
Suppose -4*j**2/7 - 9960*j - 43400700 = 0. What is j?
-8715
Find q, given that 5*q**4 - 8720*q**3 - 17460*q**2 = 0.
-2, 0, 1746
Determine u so that 3*u**2 + 74055*u - 74058 = 0.
-24686, 1
Determine l, given that 3*l**4/4 - 147*l**3/2 + 2448*l**2 - 29184*l + 49152 = 0.
2, 32
Suppose -3*p**4/7 - 246*p**3/7 + 38373*p**2/7 + 1780056*p/7 - 157079088/7 = 0. Calculate p.
-108, 67
Find d such that -165*d**2 - 1461725*d + 88590 = 0.
-8859, 2/33
Solve -2*n**2/3 + 5069*n/3 + 845 = 0 for n.
-1/2, 2535
Suppose -4*q**5/5 + 104*q**4/5 - 48*q**3/5 - 280*q**2 + 2548*q/5 - 240 = 0. What is q?
-4, 1, 3, 25
Factor -i**2 - 20880*i - 108993600.
-(i + 10440)**2
Let 2*w**5 + 601*w**4 + 11929*w**3 - 18949*w**2 + 6417*w = 0. What is w?
-279, -23, 0, 1/2, 1
What is l in -l**2/4 - 266245*l/4 - 66561 = 0?
-266244, -1
Factor -2*d**3/7 - 2686*d**2 - 45141790*d/7 - 4452319406/7.
-2*(d + 103)*(d + 4649)**2/7
Determine w, given that 5*w**3/3 - 5815*w**2 + 11625*w - 17435/3 = 0.
1, 3487
Let -3*g**3 - 89*g**2/2 + 407*g - 192 = 0. What is g?
-64/3, 1/2, 6
Solve -3*t**3 + 1548*t**2 - 1527*t - 9270 = 0 for t.
-2, 3, 515
Factor -3*n**2/7 + 1212*n - 8463.
-3*(n - 2821)*(n - 7)/7
Factor 4*f**2 + 290584*f + 5277441316.
4*(f + 36323)**2
Factor 2*r**2/7 + 337262*r/7 - 337264/7.
2*(r - 1)*(r + 168632)/7
Find q, given that 2*q**3/5 + 2198*q**2/5 + 8766*q/5 + 1314 = 0.
-1095, -3, -1
Factor -w**2/3 - 3168080*w/3 - 2509182721600/3.
-(w + 1584040)**2/3
What is r in 4*r**5 + 216*r**4 + 1652*r**3 + 1440*r**2 = 0?
-45, -8, -1, 0
Suppose 5*p**5 + 2300*p**4 - 4625*p**3 - 2300*p**2 + 4620*p = 0. What is p?
-462, -1, 0, 1, 2
Factor -5*d**4 - 435*d**3 - 8055*d**2 + 28215*d.
-5*d*(d - 3)*(d + 33)*(d + 57)
Let -2*y**3/3 - 214*y**2/3 + 726434*y/3 - 726218/3 = 0. What is y?
-659, 1, 551
Factor 2*h**4 + 774*h**3 + 98250*h**2 + 3878386*h - 26977092.
2*(h - 6)*(h + 131)**3
Solve -4*l**5 - 20700*l**4 - 26603932*l**3 + 457622940*l**2 - 835351264*l + 404352960 = 0.
-2596, 1, 15
Factor b**4/9 + 34*b**3/9 - 544*b**2/3 - 57794*b/9 - 56129/9.
(b - 41)*(b + 1)*(b + 37)**2/9
Solve -u**4 - 15*u**3 + 622*u**2 + 5436*u + 8280 = 0 for u.
-30, -6, -2, 23
Factor -g**2/2 + 2145*g/2 - 12798.
-(g - 2133)*(g - 12)/2
Suppose -4*g**5 - 1528*g**4 + 23700*g**3 - 47960*g**2 - 126656*g + 152448 = 0. Calculate g.
-397, -2, 1, 4, 12
Let -4*t**4 + 144160*t**3 + 1586148*t**2 + 3461040*t - 5191344 = 0. Calculate t.
-6, 1, 36051
Factor -55*t**3 + 920*t**2 - 3595*t - 1050.
-5*(t - 10)*(t - 7)*(11*t + 3)
Let 5*x**3 - 545*x**2 + 6650*x = 0. Calculate x.
0, 14, 95
Determine l so that l**3/7 + 352*l**2 - 1057*l + 4934/7 = 0.
-2467, 1, 2
Factor 2*d**2/3 + 10164*d.
2*d*(d + 15246)/3
Factor 2*v**3 + 3628*v**2 - 43824*v.
2*v*(v - 12)*(v + 1826)
Let -b**5/2 + 55*b**4 - 1556*b**3 + 1848*b**2 + 27864*b + 34992 = 0. What is b?
-2, 6, 54
Factor 3*z**2/2 - 1173108*z + 229363729944.
3*(z - 391036)**2/2
Suppose 4*o**5 - 416*o**4 + 3616*o**3 + 13384*o**2 + 14236*o + 4888 = 0. What is o?
-1, 13, 94
Suppose 50*j**4 - 5145*j**3 - 38605*j**2 - 48810*j - 15400 = 0. What is j?
-28/5, -1, -1/2, 110
Solve -4*m**2 + 1412*m + 4272 = 0.
-3, 356
Determine y so that -2*y**2/11 - 8708*y/11 - 26106/11 = 0.
-4351, -3
Factor 2*p**2/5 + 458*p/5 - 36084/5.
2*(p - 62)*(p + 291)/5
Solve 3*n**4/4 + 789*n**3/4 + 50673*n**2/4 - 159201*n/4 = 0.
-133, 0, 3
Determine c, given that -3*c**2/4 + 27657*c/2 + 276645/4 = 0.
-5, 18443
Suppose -9*l**4 - 471*l**3 + 1866*l**2 + 984*l - 1344 = 0. What is l?
-56, -1, 2/3, 4
What is h in -2*h**4/9 + 214*h**3/3 + 216*h**2 + 8*h/9 - 288 = 0?
-2, 1, 324
Suppose -3*l**5 + 189*l**4 - 3318*l**3 + 15984*l**2 = 0. What is l?
0, 8, 18, 37
Suppose 3*i**4 + 1089*i**3 + 27132*i**2 - 28224*i = 0. Calculate i.
-336, -28, 0, 1
Factor 4*p**2 - 3100*p - 3104.
4*(p - 776)*(p + 1)
Factor -g**3 - 192*g**2 - 7245*g - 77234.
-(g + 23)**2*(g + 146)
Factor 3*j**3 + 2115*j**2 + 280800*j + 10464000.
3*(j + 80)**2*(j + 545)
Factor 3*d**4/5 + 17238*d**3/5 + 24745143*d**2/5 - 49542012*d/5 + 24779628/5.
3*(d - 1)**2*(d + 2874)**2/5
Let -3*h**5/7 + 192*h**4/7 + 14667*h**3/7 + 15336*h**2 + 207792*h/7 = 0. Calculate h.
-39, -4, 0, 111
Let -5*p**5 + 220*p**3 + 210*p**2 - 215*p - 210 = 0. What is p?
-6, -1, 1, 7
Factor -4*l**2 - 220672*l - 3043508224.
-4*(l + 27584)**2
What is a in -3*a**2 - 3108552*a - 805257961392 = 0?
-518092
Suppose 7*w**4 - 2*w**3/3 - 7*w**2 + 2*w/3 = 0. What is w?
-1, 0, 2/21, 1
Let -2*k**3/13 - 4752*k**2 + 61778*k/13 = 0. What is k?
-30889, 0, 1
Factor -u**4/5 - 51*u**3/5 - 282*u**2/5 - 548*u/5 - 72.
-(u + 2)**3*(u + 45)/5
Solve -2*g**5 - 2486*g**4/7 - 11012*g**3/7 + 10508*g**2/7 + 22034*g/7 - 19030/7 = 0 for g.
-173, -5, -11/7, 1
Find x such that -x**2/5 - 97*x/5 - 2112/5 = 0.
-64, -33
Factor 2*m**3/7 + 916*m**2/7 - 10342*m/7 - 1608.
2*(m - 12)*(m + 1)*(m + 469)/7
Let -18*f**4 + 96494*f**3 + 214494*f**2 + 139434*f + 21452 = 0. What is f?
-1, -2/9, 5363
Factor -h**3 + 139*h**2 - 2178*h.
-h*(h - 121)*(h - 18)
Find w, given that 2*w**2/9 - 1762*w/9 + 46052/3 = 0.
87, 794
Factor 5929*r**3/5 - 6719097*r**2/5 + 348984*r - 22660.
(r - 1133)*(77*r - 10)**2/5
Factor 46*g**3 + 186*g**2 - 4408*g - 192.
2*(g - 8)*(g + 12)*(23*g + 1)
Factor p**3/4 + 1381*p**2/4 - 1383*p/2.
p*(p - 2)*(p + 1383)/4
Factor -3*q**4 + 1146*q**3 - 3411*q**2.
-3*q**2*(q - 379)*(q - 3)
Find z, given that -z**3/2 + 919*z**2/2 - 10292*z - 10752 = 0.
-1, 24, 896
Factor 11964*w**3 - 119648*w**2 + 107756*w - 72.
4*(w - 9)*(w - 1)*(2991*w - 2)
Factor -m**2/6 + 72*m - 2135/6.
-(m - 427)*(m - 5)/6
Determine x, given that -3*x**3/4 + 3789*x**2/4 - 33372*x + 298161 = 0.
18, 1227
What is l in -190*l**5/9 + 2564*l**4/9 - 126*l**3 - 1136*l**2/9 - 104*l/9 = 0?
-2/5, -2/19, 0, 1, 13
What is p in -2*p**2/7 - 5912*p/7 + 53370/7 = 0?
-2965, 9
Let -5*v**5/3 - 95*v**4 - 1160*v**3 + 8140*v**2/3 = 0. What is v?
-37, -22, 0, 2
Factor -3*c**2 - 4365*c + 17508.
-3*(c - 4)*(c + 1459)
Determine a so that -2*a**2 + 2574436*a - 828465089762 = 0.
643609
Solve 3*c**5/8 - 601*c**4/4 + 10841*c**3 - 70809*c**2/4 + 27845*c/8 + 7061/2 = 0 for c.
-1/3, 1, 92, 307
Determine h so that 3*h**4 + 812*h**3 + 3744*h**2 + 5328*h + 2128 = 0.
-266, -2, -2/3
Factor -2*r**2/13 - 470956*r/13 - 27724944242/13.
-2*(r + 117739)**2/13
Find t, given that -15*t**2 - 4628724*t + 1851492 = 0.
-308582, 2/5
Solve -b**3 + 1774*b**2 - 753865*b - 29484900 = 0.
-36, 905
Solve 4*d**5 - 4720*d**4 - 153888