*t**2 - 4448*t + 4450.
-2*(t - 1)*(t + 2225)
Factor 10*c**3 - 1165*c**2 + 1655*c + 8050.
5*(c - 115)*(c + 2)*(2*c - 7)
Determine q, given that -3*q**2 - 66*q - 255 = 0.
-17, -5
Determine p so that -2*p**4 - 4524*p**3 - 2001458*p**2 + 629813184*p - 38762189312 = 0.
-1243, 112
Factor 2*n**3 + 334*n**2 - 4274*n + 3938.
2*(n - 11)*(n - 1)*(n + 179)
Let -s**2/5 - 86*s/5 - 1849/5 = 0. What is s?
-43
Let -4*x**2/7 + 12620*x/7 - 424456/7 = 0. Calculate x.
34, 3121
Solve 8*z**5/17 - 2218*z**4/17 + 205898*z**3/17 - 6483976*z**2/17 + 7837664*z/17 - 1557376/17 = 0.
1/4, 1, 92
Solve -4*q**3 + 59328*q**2 - 219988224*q = 0 for q.
0, 7416
Solve -3*u**2/4 - 10521*u/2 - 21039/4 = 0 for u.
-7013, -1
Factor 2*w**2/5 - 4574*w/5 + 35952.
2*(w - 2247)*(w - 40)/5
Let -6*m**4 + 140*m**3 + 552*m**2 - 3440*m - 2496 = 0. Calculate m.
-6, -2/3, 4, 26
Factor 36*r**5/5 + 20740*r**4 - 46096*r**3/5.
4*r**3*(r + 2881)*(9*r - 4)/5
Find b, given that -4*b**2/5 - 2808*b/5 - 11968 = 0.
-680, -22
Factor 2*m**2/5 - 18324*m/5 + 135050.
2*(m - 9125)*(m - 37)/5
Find z, given that -2*z**4 - 1412*z**3 - 142666*z**2 + 437912*z - 293832 = 0.
-583, -126, 1, 2
Solve -2193390926500*v**4 - 19735694754300*v**3 + 43408721880*v**2 - 31822416*v + 7776 = 0 for v.
-9, 6/8185
Factor -h**2/4 - 105*h/4 - 475/2.
-(h + 10)*(h + 95)/4
Determine w, given that w**3/9 + 59*w**2/9 - w - 59 = 0.
-59, -3, 3
Factor 5*j**3 + 930*j**2 + 1720*j - 22080.
5*(j - 4)*(j + 6)*(j + 184)
Factor -3*c**2/4 + 51063*c/4 + 25533/2.
-3*(c - 17022)*(c + 1)/4
Solve -27*q**5 + 196461*q**4 + 1310586*q**3 + 2578002*q**2 + 1310913*q + 196641 = 0.
-3, -1/3, 7283
Suppose q**4 - 116*q**3 + 663*q**2 - 320*q - 1100 = 0. Calculate q.
-1, 2, 5, 110
Suppose -1000*v**4 + 1999*v**3 + 2*v**2 = 0. What is v?
-1/1000, 0, 2
Find h, given that -2*h**5/7 + 28*h**4 + 1454*h**3/7 + 1712*h**2/7 - 480*h = 0.
-4, 0, 1, 105
Find m, given that 2*m**2/15 - 1975328*m/15 + 487740088448/15 = 0.
493832
Find o, given that 2*o**3 - 2120*o**2 + 27266*o - 46068 = 0.
2, 11, 1047
Factor 2*a**2/7 - 1594*a - 212724/7.
2*(a - 5598)*(a + 19)/7
Factor -5*v**4/2 + 140*v**3 - 3625*v**2/2 - 4205*v.
-5*v*(v - 29)**2*(v + 2)/2
Factor u**4 - 82*u**3 + 456*u**2.
u**2*(u - 76)*(u - 6)
Let -30*g**4 - 43945*g**3 + 139450*g**2 - 14695*g - 22020 = 0. Calculate g.
-1468, -1/3, 1/2, 3
Determine v so that -212*v**5 - 1056*v**4 + 232*v**3 + 3600*v**2 - 2612*v + 48 = 0.
-4, -3, 1/53, 1
Find v such that 5*v**4 - 303610*v**3 + 4608344345*v**2 + 18437020860*v + 18438235380 = 0.
-2, 30363
Factor y**2/9 - 836*y/3 - 2509/9.
(y - 2509)*(y + 1)/9
Factor 10917*v**3/5 - 327498*v**2/5 + 491193*v + 540.
3*(v - 15)**2*(3639*v + 4)/5
Determine l, given that -l**3/6 + 25*l**2/3 - 689*l/6 + 1160/3 = 0.
5, 16, 29
Factor -4*c**4 - 332*c**3 + 3684*c**2 - 3348*c.
-4*c*(c - 9)*(c - 1)*(c + 93)
Factor 4*v**3 + 1500*v**2 + 91472*v - 92976.
4*(v - 1)*(v + 78)*(v + 298)
Factor c**4/2 - c**3/2 - 54*c**2 - 280*c - 416.
(c - 13)*(c + 4)**3/2
Find x such that -147*x**4 + 52983*x**3 + 354006*x**2 + 189300*x + 26424 = 0.
-6, -2/7, 367
Factor -s**3/2 + 100*s**2 - 199*s/2.
-s*(s - 199)*(s - 1)/2
What is n in -n**3/7 - 207*n**2/7 + 6547*n + 46035/7 = 0?
-341, -1, 135
Solve 3*j**4/2 + 2874*j**3 - 8631*j**2 + 8634*j - 5757/2 = 0 for j.
-1919, 1
Determine o, given that -10*o**5/3 - 17195*o**4/3 - 2468190*o**3 - 11051020*o**2/3 + 7404580*o/3 + 3689405 = 0.
-859, -3/2, -1, 1
What is d in d**3/6 - 245*d**2/2 + 6201*d/2 - 119821/6 = 0?
13, 709
Factor 14*o**3 - 198*o**2 + 624*o - 440.
2*(o - 10)*(o - 1)*(7*o - 22)
Find l, given that -15*l**5 + 84*l**4 - 99*l**3 - 114*l**2 + 156*l + 72 = 0.
-1, -2/5, 2, 3
Factor t**3/3 + 197*t**2/3 + 129*t - 195.
(t - 1)*(t + 3)*(t + 195)/3
What is w in -4*w**4/7 + 46*w**3/7 + 354*w**2/7 + 356*w/7 - 272/7 = 0?
-4, -2, 1/2, 17
Factor 3*i**3 - 213*i**2 + 2157*i - 1947.
3*(i - 59)*(i - 11)*(i - 1)
Factor 5*m**5 + 285*m**4 - 1310*m**3 - 5590*m**2 - 6135*m - 2135.
5*(m - 7)*(m + 1)**3*(m + 61)
Determine b, given that 14*b**5/9 - 331*b**4 - 2218*b**3/3 - 2371*b**2/9 + 430*b/3 = 0.
-3/2, -1, 0, 2/7, 215
Suppose -c**2/3 + 9740*c - 204491/3 = 0. Calculate c.
7, 29213
Let 2*k**3/3 - 54218*k**2/3 = 0. Calculate k.
0, 27109
Factor 3*f**3/8 + 6105*f**2/4 + 12374691*f/8 - 12472563.
3*(f - 8)*(f + 2039)**2/8
Find c, given that -5*c**2 - 1956260*c = 0.
-391252, 0
What is o in -48*o**3 + 23044*o**2 - 1896*o - 11520 = 0?
-2/3, 3/4, 480
Factor 3*i**2 - 3555*i + 45708.
3*(i - 1172)*(i - 13)
Factor 2*a**5 + 118*a**4 + 2592*a**3 + 27136*a**2 + 137216*a + 270336.
2*(a + 8)**3*(a + 11)*(a + 24)
What is n in -4*n**5 - 88*n**4 + 892*n**3 - 2048*n**2 - 144*n + 2880 = 0?
-30, -1, 2, 3, 4
Factor c**3 - 1404*c**2 + 495600*c - 1960000.
(c - 700)**2*(c - 4)
Factor -2*d**3 + 2952*d**2 - 46720*d.
-2*d*(d - 1460)*(d - 16)
Let u**2/2 + 10699*u + 114468601/2 = 0. What is u?
-10699
Find n, given that 5*n**5/2 + 26830*n**4 + 26820*n**3 - 80485*n**2 - 53645*n/2 + 53655 = 0.
-10731, -2, -1, 1
Factor 2*q**3/9 + 34184*q**2/9 + 146102410*q/9 + 292068100/9.
2*(q + 2)*(q + 8545)**2/9
Factor i**3/4 - 38*i**2 - i/4 + 38.
(i - 152)*(i - 1)*(i + 1)/4
Let 2*m**2/9 - 4350956*m/9 + 2366352264242/9 = 0. What is m?
1087739
Solve -5*j**2 + 159560*j - 1272969680 = 0.
15956
Solve d**3 - 7*d**2 - 721*d - 713 = 0.
-23, -1, 31
Find h, given that h**2/2 - 186*h + 9106 = 0.
58, 314
Solve -4*g**2 - 75692*g - 680904 = 0 for g.
-18914, -9
Find s, given that -s**4 + 129*s**3/2 + 33*s**2 - 65*s/2 = 0.
-1, 0, 1/2, 65
Determine h so that -h**2/4 + 75*h/4 + 675/2 = 0.
-15, 90
Solve n**4/6 + 644*n**3/3 + 213*n**2 - 1932*n - 3861/2 = 0.
-1287, -3, -1, 3
Suppose -2*o**2/5 - 17766*o/5 = 0. Calculate o.
-8883, 0
Solve h**3/9 - 836*h**2/9 - 17101*h/9 - 16264/9 = 0 for h.
-19, -1, 856
Let -3*j**4/7 - 114753*j**3/7 - 1096837680*j**2/7 + 9880836300*j/7 = 0. Calculate j.
-19130, 0, 9
Factor -5*r**3 + 18595*r**2 - 111435*r + 167085.
-5*(r - 3713)*(r - 3)**2
Factor y**4/4 + 43*y**3/2 - 761*y**2/4 - 423*y/2.
y*(y - 9)*(y + 1)*(y + 94)/4
Factor 3*o**4/2 - 195*o**3/2 + 1500*o**2 - 6750*o.
3*o*(o - 45)*(o - 10)**2/2
Let -3*f**3/7 + 72*f**2/7 + 1728*f/7 - 41472/7 = 0. Calculate f.
-24, 24
Find t such that 289*t**5/3 - 1783640*t**4/3 - 4901076*t**3 - 31961840*t**2/3 - 6921536*t/3 - 131840 = 0.
-4, -2/17, 6180
Let -t**3 - 623*t**2 - 622*t = 0. Calculate t.
-622, -1, 0
Factor -2*u**2/5 + 578*u/5 - 40748/5.
-2*(u - 167)*(u - 122)/5
Let 4*j**4 - 56*j**3 + 148*j**2 + 192*j - 720 = 0. What is j?
-2, 3, 10
Find p, given that p**2 + 755*p - 4566 = 0.
-761, 6
Factor 46*l**2/7 + 18070*l/7 + 207264/7.
2*(l + 381)*(23*l + 272)/7
Factor -t**3 + 3449*t**2 - 13783*t + 10335.
-(t - 3445)*(t - 3)*(t - 1)
Find p, given that -p**5 + 321*p**4 - 5793*p**3 + 16535*p**2 + 22650*p = 0.
-1, 0, 5, 15, 302
Factor r**4 - 17*r**3 - 480*r**2 - 1584*r.
r*(r - 33)*(r + 4)*(r + 12)
Determine i so that i**3/2 + 18*i**2 - 39*i/2 - 37 = 0.
-37, -1, 2
What is b in -6*b**5 + 73*b**4 + 234*b**3 - 1193*b**2 + 1032*b - 140 = 0?
-5, 1/6, 1, 2, 14
Let 4*n**5 + 9464*n**4 - 75872*n**3 + 227776*n**2 - 303808*n + 151936 = 0. What is n?
-2374, 2
Factor -2*v**2 + 51816*v.
-2*v*(v - 25908)
Find v such that -15*v**2/2 + 1275017*v/2 - 85001 = 0.
2/15, 85001
Suppose -5*c**4 + 30085*c**3 + 210800*c**2 + 241040*c - 481920 = 0. Calculate c.
-4, 1, 6024
Factor -17*b**2/8 - 146289*b + 34421/2.
-(b + 68842)*(17*b - 2)/8
Determine i, given that 3*i**4/4 + 45*i**3/2 - 237*i**2/4 - 333*i + 864 = 0.
-32, -4, 3
Let 4*g**2/3 + 8636*g/3 - 8648 = 0. Calculate g.
-2162, 3
What is i in -i**5/3 - 199*i**4/3 + 605*i**3/3 - 205*i**2/3 - 604*i/3 + 404/3 = 0?
-202, -1, 1, 2
Factor 2*q**2/5 - 482542*q/5 + 965076/5.
2*(q - 241269)*(q - 2)/5
Factor -h**2/3 - 7*h + 234.
-(h - 18)*(h + 39)/3
Determine g so that g**2/5 + 29569*g/5 - 5914 = 0.
-29570, 1
Factor s**3/7 - 53693*s**2/7.
s**2*(s - 53693)/7
Let t**5/6 + 716*t**4/3 + 225587*t**3/2 + 51135139*t**2/3 - 772361138*t/3 + 615890924 = 0. Calculate t.
-482, 3, 11
Suppose 2*g**3 + 6*g**2 - 2*g - 6 = 0. Calculate g.
-3, -1, 1
Find n, given that -10*n**5 - 86*n**4 + 746*n**3 + 2326*n**2 + 776*n - 728 = 0.
-13, -2, -1, 2/5, 7
Factor 2*r**3 - 85138*r**2.
2*r**2*(r - 42569)
Determine f so that -2*f**2/9 + 16324*f/3 + 97952/9 = 0.
-2, 24488
Find f, given that -2*f**4/7 - 1348*f**3/7 - 1338*f**2/7 + 5392*f/7 + 5384