67 = 0.
3, 37183
Solve -q**4 + 18604*q**3 - 86471374*q**2 - 519330660*q - 779247225 = 0.
-3, 9305
Suppose -d**4 - 1102*d**3 - 334861*d**2 - 17224260*d - 244296900 = 0. What is d?
-521, -30
Factor 2*j**4 - 309088*j**3 + 11941923968*j**2.
2*j**2*(j - 77272)**2
Factor 258*r**2 - 92883*r/5 + 216/5.
3*(r - 72)*(430*r - 1)/5
Determine b so that b**2/2 - 5700*b + 11398 = 0.
2, 11398
Find b such that 2*b**2/9 + 314*b/9 + 700/3 = 0.
-150, -7
What is f in 2*f**4/7 + 134*f**3/7 - 274*f**2/7 + 138*f/7 = 0?
-69, 0, 1
Find x, given that -243*x**4 - 2424*x**3 + 60*x**2 = 0.
-10, 0, 2/81
Determine w, given that -w**5/2 - 7*w**4/2 + 2889*w**3/2 - 24813*w**2/2 - 864*w + 148230 = 0.
-61, -3, 6, 45
Factor 3*a**3/7 - 5100855*a**2/7 + 309746322927*a + 309747051621.
3*(a - 850143)**2*(a + 1)/7
Suppose 8*c**4/23 + 186*c**3/23 + 358*c**2/23 - 426*c/23 - 126/23 = 0. Calculate c.
-21, -3, -1/4, 1
Factor 3*o**5/5 + 678*o**4/5 + 7383*o**3 - 31740*o**2.
3*o**2*(o - 4)*(o + 115)**2/5
Factor 17*l**2/2 + 129*l/2 + 35.
(l + 7)*(17*l + 10)/2
Suppose 3*s**2/4 - 565965*s/2 + 106772127075/4 = 0. What is s?
188655
Solve -n**4/3 + 12*n**3 + 157*n**2/3 + 40*n = 0 for n.
-3, -1, 0, 40
Solve 5*c**5 + 54*c**4 + 154*c**3 + 152*c**2 + 33*c - 14 = 0 for c.
-7, -2, -1, 1/5
Factor 3*z**3/8 + 75*z**2/8 - 213*z/2 - 720.
3*(z - 12)*(z + 5)*(z + 32)/8
Determine x so that -x**4/9 + 44*x**3/9 - 41*x**2/9 - 1766*x/9 - 560/3 = 0.
-5, -1, 8, 42
Let -s**3 - 1750*s**2 - 55232*s - 439808 = 0. What is s?
-1718, -16
Factor -2*p**4 - 6360*p**3 - 50784*p**2 - 101504*p.
-2*p*(p + 4)**2*(p + 3172)
Suppose u**2 - 377*u + 18762 = 0. Calculate u.
59, 318
Factor -4*p**2 - 844*p + 629520.
-4*(p - 305)*(p + 516)
What is g in 3*g**4 + 126*g**3 - 1572*g**2 - 504*g + 6240 = 0?
-52, -2, 2, 10
What is a in -3*a**2/2 + 537*a - 1068 = 0?
2, 356
Determine c so that -c**2 + 230*c + 9879 = 0.
-37, 267
Let -u**2/6 + 335*u/6 + 4117/3 = 0. What is u?
-23, 358
Factor y**3/3 - 231*y**2 - 1390*y/3.
y*(y - 695)*(y + 2)/3
Determine g, given that -g**3/6 - 431*g**2/6 - 6044*g - 17490 = 0.
-318, -110, -3
Solve 519*n**5 + 1554*n**4 - 4680*n**3 - 13986*n**2 + 81*n = 0.
-3, 0, 1/173, 3
Determine v so that -338*v**5 + 3276*v**4 - 2686*v**3 - 24724*v**2 - 7368*v - 560 = 0.
-2, -2/13, 5, 7
Factor l**3/2 + 207*l**2/2 + 100*l - 618.
(l - 2)*(l + 3)*(l + 206)/2
Determine b so that -4232*b**4 + 33764*b**3/5 - 13692*b**2/5 + 832*b/5 + 256/5 = 0.
-1/10, 8/23, 1
Factor 4*r**3/3 - 1364*r**2 + 4064*r/3 + 8176.
4*(r - 1022)*(r - 3)*(r + 2)/3
Factor 4*q**3 + 928*q**2 - 9580*q + 24200.
4*(q - 5)**2*(q + 242)
What is q in 2*q**2/5 + 3642*q/5 + 728 = 0?
-1820, -1
Find v, given that -3*v**3/7 - 6585*v**2 - 644781*v/7 - 85527 = 0.
-15351, -13, -1
Factor 22090*y**2 - 22936*y + 29768/5.
2*(235*y - 122)**2/5
Factor -v**3/2 - 511*v**2/2 + 180360*v - 21998304.
-(v - 216)**2*(v + 943)/2
Factor -2*v**4/9 - 3724390*v**3/9 - 256872143882*v**2 - 478348590687848114*v/9 - 956687934008311564/9.
-2*(v + 2)*(v + 620731)**3/9
Factor -5*m**3 + 2865*m**2 + 26240*m - 29100.
-5*(m - 582)*(m - 1)*(m + 10)
Factor 4*k**3 - 1292*k**2 + 26296*k + 57792.
4*(k - 301)*(k - 24)*(k + 2)
Suppose -54*n**2 + 18484*n - 5472 = 0. Calculate n.
8/27, 342
Suppose 4*b**5 - 28*b**4 - 516*b**3 + 1708*b**2 + 512*b - 1680 = 0. Calculate b.
-10, -1, 1, 3, 14
Let 6*v**3/5 + 3886*v**2 - 90788*v/5 + 51888/5 = 0. Calculate v.
-3243, 2/3, 4
Factor 2*w**3 + 1244*w**2 - 97022*w - 98264.
2*(w - 71)*(w + 1)*(w + 692)
Let -o**2/8 - 4611*o/4 - 4609 = 0. What is o?
-9218, -4
What is d in -2*d**2/7 + 814948*d/7 - 814946/7 = 0?
1, 407473
Factor 35*m**2 + 1020*m - 4640.
5*(m - 4)*(7*m + 232)
Determine k, given that 4*k**2/3 - 473*k/3 - 779 = 0.
-19/4, 123
Suppose q**3/5 + 13407*q**2/5 + 26811*q/5 + 2681 = 0. Calculate q.
-13405, -1
Factor 15940*i**2/9 - 31882*i/9 + 4/9.
2*(i - 2)*(7970*i - 1)/9
Solve -2504*n**2 - 15028*n - 24 = 0 for n.
-6, -1/626
Suppose -f**3/7 + 355*f**2/7 - 34408*f/7 + 1012656/7 = 0. What is f?
68, 219
Factor 245*g**2/4 - 8605*g/4 + 525/2.
5*(g - 35)*(49*g - 6)/4
Find s, given that 2*s**3 + 106*s**2 - 356*s - 1120 = 0.
-56, -2, 5
What is d in 28*d**3 - 184*d**2 - 4384*d + 2560 = 0?
-10, 4/7, 16
Factor g**3/2 - 587*g**2/2 + 2575*g + 15028.
(g - 578)*(g - 13)*(g + 4)/2
Factor 7*d**2 - 10943*d + 3126.
(d - 1563)*(7*d - 2)
Factor 2*u**2/9 - 8*u/9 - 64/9.
2*(u - 8)*(u + 4)/9
Suppose 500*i**5 - 16900*i**4 + 43105*i**3 + 9130*i**2 + 465*i = 0. What is i?
-1/10, 0, 3, 31
Find n such that -2*n**2 - 77152*n + 385810 = 0.
-38581, 5
Factor m**3 + 64*m**2 + 116*m - 496.
(m - 2)*(m + 4)*(m + 62)
Solve -4*z**2/3 - 32912*z/3 - 32908/3 = 0.
-8227, -1
Let 4*x**3 - 33712*x**2 + 71031184*x = 0. Calculate x.
0, 4214
What is f in -5*f**5/2 - 3*f**4 + 77*f**3 + 18*f**2 - 149*f/2 - 15 = 0?
-6, -1, -1/5, 1, 5
Solve -227*c**2 - 12049*c - 954 = 0 for c.
-53, -18/227
Factor -d**2 + 13033*d - 26062.
-(d - 13031)*(d - 2)
Determine v, given that -v**5/3 - 518*v**4/3 - 40360*v**3/3 - 368400*v**2 - 3078000*v + 7740000 = 0.
-430, -30, 2
What is z in z**4/4 - 11*z**3 + 471*z**2/4 - 261*z = 0?
0, 3, 12, 29
Factor -n**5 + 54*n**4 - 426*n**3 + 964*n**2 - 861*n + 270.
-(n - 45)*(n - 6)*(n - 1)**3
Let 2*z**2 + 1380204*z + 1380202 = 0. What is z?
-690101, -1
Solve q**3/8 + 2135*q**2/8 - 267*q = 0.
-2136, 0, 1
Factor -18*m**3/5 - 119688*m**2/5 + 79798*m/5 - 2660.
-2*(m + 6650)*(3*m - 1)**2/5
Factor 5*d**3 - 2535*d**2 + 265660*d.
5*d*(d - 359)*(d - 148)
Determine q, given that -q**2 + 65347*q = 0.
0, 65347
Find w such that 5*w**5/4 - 1775*w**4/4 + 3900*w**3 - 2575*w**2 - 6920*w = 0.
-1, 0, 2, 8, 346
Let 2*v**3/5 - 12504*v**2/5 - 10008*v - 50048/5 = 0. Calculate v.
-2, 6256
What is a in -a**4 + 34*a**3 + 13*a**2 - 430*a - 408 = 0?
-3, -1, 4, 34
Suppose s**4/2 - 27*s**3/2 - 1081*s**2/2 + 12447*s/2 - 5670 = 0. What is s?
-28, 1, 9, 45
Factor 2*l**3 - 72*l**2 - 15194*l.
2*l*(l - 107)*(l + 71)
Solve 2*z**5/3 + 4112*z**4/3 + 941186*z**3 + 217089288*z**2 + 856176480*z + 640027008 = 0.
-684, -3, -1
Determine j so that 4*j**3/5 - 104*j**2 - 8192*j/5 + 18432/5 = 0.
-16, 2, 144
Factor 13*z**3/3 + 8*z**2 - 43*z/3 + 2.
(z - 1)*(z + 3)*(13*z - 2)/3
Factor 2*i**2/11 - 92*i + 8946/11.
2*(i - 497)*(i - 9)/11
Factor 3*g**3 - 1503*g**2 + 45600*g - 270144.
3*(g - 469)*(g - 24)*(g - 8)
Determine r, given that 4*r**5 - 4120*r**4 + 1064988*r**3 - 2092984*r**2 - 5308592*r + 6340704 = 0.
-2, 1, 3, 514
Factor 2*m**2/7 - 31230*m/7 - 31244.
2*(m - 15622)*(m + 7)/7
Find t, given that 5*t**5/3 + 190*t**4/3 + 1555*t**3/3 - 4930*t**2/3 - 2900*t + 3960 = 0.
-22, -18, -2, 1, 3
Factor -5*f**5/3 + 380*f**4/3 - 6100*f**3/3 + 28000*f**2/3.
-5*f**2*(f - 56)*(f - 10)**2/3
Find t such that 3*t**5 - 73*t**4 + 357*t**3 - 243*t**2 - 496*t + 180 = 0.
-1, 1/3, 2, 5, 18
What is s in -9*s**5 - 207195*s**4 + 483498*s**3 - 138144*s**2 = 0?
-23024, 0, 1/3, 2
Factor 8042896*q**2/5 + 153144*q + 3645.
(2836*q + 135)**2/5
Factor 4*c**4 - 27460*c**3 + 329136*c**2 - 1316032*c + 1754368.
4*(c - 6853)*(c - 4)**3
Suppose 12*l**2 + 36368*l + 24240 = 0. What is l?
-3030, -2/3
Suppose -g**2/7 - 299982*g/7 - 22497300081/7 = 0. What is g?
-149991
Factor -d**2 - 23388*d - 136749636.
-(d + 11694)**2
Factor -g**4/3 - 77*g**3/3 + 95*g**2 + 3425*g/3 - 14000/3.
-(g - 5)**2*(g + 7)*(g + 80)/3
Solve -5*g**3 + 31225*g**2 - 48828000*g + 243360000 = 0 for g.
5, 3120
Suppose -2*t**4/3 + 184*t**3/3 + 9088*t**2/3 + 33888*t + 56160 = 0. Calculate t.
-18, -2, 130
Factor -2*j**3 + 712*j**2 - 710*j.
-2*j*(j - 355)*(j - 1)
Factor 2*b**3/3 - 2038*b**2/3 - 4082*b/3 - 2042/3.
2*(b - 1021)*(b + 1)**2/3
Determine w, given that -18*w**2 + 728752*w - 161944 = 0.
2/9, 40486
Solve 2*h**2/5 + 386*h/5 + 3696 = 0 for h.
-105, -88
Find b, given that -62*b**5/3 + 160*b**4 + 298*b**3/3 - 484*b**2 + 736*b/3 = 0.
-2, 0, 23/31, 1, 8
Factor -2*x**2/13 - 826*x/13 - 824/13.
-2*(x + 1)*(x + 412)/13
Solve -4*v**3/9 + 508*v**2/9 + 544*v/3 - 1040 = 0 for v.
-6, 3, 130
Find b such that b**2/5 + 5984*b/5 = 0.
-5984, 0
Find y, given that 2*y**3/15 - 31472*y**2/15 - 12590*y/3 - 10492/5 = 0.
-1, 15738
Factor 5*f**4/4 - 975*f**3/4 + 960*f**2 - 955*f.
5*f*(f - 191)*(f - 2)**2/4
Determine v, given that 2*v**5/5 + 582*v**4/5 + 46512*v**3/5 + 122256*v**2 + 2801952*v/5 + 4113504/5 = 0.
-138, -6, -3
Let 3*p**3 - 1056*p**2 - 1065*p + 2118 = 0. What i