e c.
-2340, -1, 0, 7
Determine y so that y**4/4 - 61749*y**3/4 - 30877*y**2/2 + 61749*y + 61750 = 0.
-2, -1, 2, 61750
Factor 2*b**3/19 + 110*b**2/19 + 104*b/19 - 216/19.
2*(b - 1)*(b + 2)*(b + 54)/19
Factor 2*k**2/21 - 1988604*k/7 + 1482954700806/7.
2*(k - 1491453)**2/21
Let -4*i**3 + 5836*i**2 - 17432*i - 58240 = 0. Calculate i.
-2, 5, 1456
Determine i, given that 64*i**5 + 35120*i**4 + 4796017*i**3 - 6040651*i**2 + 1285075*i - 75625 = 0.
-275, 1/8, 1
Solve -4*l**2 - 3772*l = 0.
-943, 0
Suppose 8*w**3/7 + 1978*w**2/7 + 494*w/7 = 0. Calculate w.
-247, -1/4, 0
Factor t**3/4 - 7081*t**2/4 + 12531599*t/4 + 12538681/4.
(t - 3541)**2*(t + 1)/4
Solve -9*w**3/5 + 246*w**2/5 + 3492*w/5 + 5928/5 = 0 for w.
-26/3, -2, 38
Let -2*j**5/11 - 450*j**4/11 - 25076*j**3/11 + 27804*j**2/11 + 129046*j/11 + 76614/11 = 0. Calculate j.
-113, -1, 3
Factor -5*n**2/4 + 78845*n/2 + 788575/4.
-5*(n - 31543)*(n + 5)/4
Solve 2*n**5/15 - 68*n**4/3 + 3736*n**3/15 + 8848*n**2/15 = 0.
-2, 0, 14, 158
What is g in 3*g**4 + 214*g**3 + 3299*g**2 - 6256*g - 2444 = 0?
-47, -26, -1/3, 2
Suppose -4*a**2 + 1979720*a - 244955704900 = 0. What is a?
247465
Factor -a**2/2 - 1036999*a - 1075366926001/2.
-(a + 1036999)**2/2
Find a, given that -2*a**4 - 232*a**3 - 1336*a**2 - 1760*a = 0.
-110, -4, -2, 0
Determine n so that -6*n**2/5 + 562240*n - 937066/5 = 0.
1/3, 468533
Suppose -30*b**2 + 17301*b - 17271 = 0. What is b?
1, 5757/10
Find q, given that -2*q**2 + 9600*q + 9602 = 0.
-1, 4801
Find s, given that 2*s**4/3 + 826*s**3/3 - 14444*s**2/3 + 75392*s/3 - 41280 = 0.
-430, 4, 9
What is d in 2*d**5/3 - 286*d**4/3 - 1240*d**3 = 0?
-12, 0, 155
Determine c so that c**2/7 + 166*c + 3423 = 0.
-1141, -21
Factor d**3 + 91*d**2 - 1540*d + 5300.
(d - 10)*(d - 5)*(d + 106)
What is j in -28*j**3 - 77384*j**2 - 209812*j + 66264 = 0?
-2761, -3, 2/7
Factor 2*a**3/3 + 802*a**2/3 + 532*a.
2*a*(a + 2)*(a + 399)/3
Suppose 1094*r**5/11 + 1090*r**4/11 - 3286*r**3/11 - 5458*r**2/11 - 2168*r/11 + 8/11 = 0. What is r?
-1, 2/547, 2
Factor n**4/3 - 53*n**3/3 + 502*n**2/3 - 576*n + 672.
(n - 42)*(n - 4)**2*(n - 3)/3
Factor -5*n**3 - 26350*n**2 - 105335*n - 78990.
-5*(n + 1)*(n + 3)*(n + 5266)
Factor -3*d**3 + 1029*d**2 - 88860*d + 173628.
-3*(d - 182)*(d - 159)*(d - 2)
Factor 5*f**4 - 735*f**3 - 3075*f**2 + 8335*f - 4530.
5*(f - 151)*(f - 1)**2*(f + 6)
Solve l**2/2 - 136*l - 274 = 0 for l.
-2, 274
Factor -3*g**2/5 - 12732*g/5 + 2547.
-3*(g - 1)*(g + 4245)/5
Factor 8*q**2 + 44594*q.
2*q*(4*q + 22297)
Factor -2*t**2 + 2016*t + 2018.
-2*(t - 1009)*(t + 1)
Factor 2*r**3/11 + 30*r**2/11 - 20034*r/11 + 61798.
2*(r - 53)**2*(r + 121)/11
Factor 5*j**3 + 3120*j**2 + 54940*j + 242400.
5*(j + 8)*(j + 10)*(j + 606)
Factor 5*t**3/2 + 563870*t**2 + 63588747625*t/2 - 63591003125.
5*(t - 2)*(t + 112775)**2/2
Find p such that -p**3 + 798*p**2 + 1599*p + 800 = 0.
-1, 800
Let -32*f**3 + 844*f**2 - 4920*f + 1728 = 0. Calculate f.
3/8, 8, 18
Solve 3*t**3/8 - 42*t**2 + 2025*t/8 + 4725/2 = 0 for t.
-5, 12, 105
Suppose 2*k**2/11 + 38396*k/11 - 38398/11 = 0. What is k?
-19199, 1
Determine k so that -5*k**2 + 4215*k + 190490 = 0.
-43, 886
Suppose -52*f**4 - 7808*f**3 - 156212*f**2 - 420088*f - 60960 = 0. Calculate f.
-127, -20, -3, -2/13
Factor -j**2/6 - 3991*j - 47784243/2.
-(j + 11973)**2/6
Let 5*r**4/3 - 997*r**3/3 - 605*r**2/3 + 997*r/3 + 200 = 0. What is r?
-1, -3/5, 1, 200
Factor x**3/2 - 131*x**2/2 - 2881*x + 12540.
(x - 165)*(x - 4)*(x + 38)/2
Find g such that g**2 - 124690*g + 3886899025 = 0.
62345
Factor -o**3 - 5856*o**2 + 46896*o - 93824.
-(o - 4)**2*(o + 5864)
Let -c**3/4 + 32417*c**2/2 - 1050861889*c/4 = 0. What is c?
0, 32417
Factor 2*f**2 + 7856*f + 7854.
2*(f + 1)*(f + 3927)
Determine d so that -2*d**3/15 - 186*d**2/5 - 1108*d/15 = 0.
-277, -2, 0
Let -2*s**3/9 - 1011058*s**2/9 + 2*s/9 + 1011058/9 = 0. Calculate s.
-505529, -1, 1
Let -2*l**5 + 1068*l**4 + 60562*l**3 + 223956*l**2 - 60560*l - 225024 = 0. What is l?
-48, -4, -1, 1, 586
Factor -115*o**2 - 3645*o - 2480.
-5*(o + 31)*(23*o + 16)
Find x such that x**3 - 3852*x**2 - 312960*x - 6291200 = 0.
-40, 3932
Factor -3*y**4 - 489*y**3 - 3294*y**2 - 2808*y.
-3*y*(y + 1)*(y + 6)*(y + 156)
Solve -2*b**4/3 + 974*b**3/3 - 638*b**2 - 12590*b/3 - 9700/3 = 0.
-2, -1, 5, 485
Factor -4*p**3 + 152*p**2 + 2292*p + 5400.
-4*(p - 50)*(p + 3)*(p + 9)
Factor -12*m**4 + 13090*m**3 + 26216*m**2 + 13114*m.
-2*m*(m + 1)**2*(6*m - 6557)
Factor k**3/4 + 29775*k**2/2 + 886550625*k/4.
k*(k + 29775)**2/4
Suppose -3*f**3 - 10173*f**2 - 121752*f - 364932 = 0. Calculate f.
-3379, -6
Determine y so that 384*y**2/5 + 4606*y/5 - 24/5 = 0.
-12, 1/192
Solve -2*y**3 + 16*y**2 + 4200*y = 0.
-42, 0, 50
Determine a, given that -a**4 - 746*a**3 - 7385*a**2 - 18400*a = 0.
-736, -5, 0
Suppose 5*c**4 - 929850*c**3 + 43229191385*c**2 + 172927923900*c + 172931643380 = 0. Calculate c.
-2, 92987
Find y, given that -2*y**2 + 5416*y - 134150 = 0.
25, 2683
Solve -4*m**3 + 11304*m**2 + 33940*m + 22632 = 0 for m.
-2, -1, 2829
Suppose 5*p**3 - 60*p**2 - 1215*p - 1150 = 0. What is p?
-10, -1, 23
Solve o**4 + 296*o**3 + 28239*o**2 + 819280*o - 4840000 = 0.
-125, -88, 5
Solve -q**2 + 10052*q - 230667 = 0.
23, 10029
Factor 2*x**3 - 670*x**2 - 2244*x + 73008.
2*(x - 338)*(x - 9)*(x + 12)
Factor g**3 - 1185*g**2 - g + 1185.
(g - 1185)*(g - 1)*(g + 1)
Let s**2/3 + 67*s/3 - 14378/3 = 0. What is s?
-158, 91
Factor -y**3/2 - 4749*y**2 + 18999*y/2 - 4750.
-(y - 1)**2*(y + 9500)/2
Factor -2*w**3/13 - 3270*w**2/13 - 122094*w/13 - 1153034/13.
-2*(w + 19)**2*(w + 1597)/13
What is z in -2*z**5 + 142*z**4 - 196*z**3 - 5812*z**2 + 20358*z - 14490 = 0?
-7, 1, 3, 5, 69
Find k such that 4*k**3 - 14844*k**2 + 162752*k + 177600 = 0.
-1, 12, 3700
Find u, given that 3*u**4 + 174*u**3 - 8100*u**2 + 15666*u - 7743 = 0.
-89, 1, 29
Determine y so that -15*y**3 - 11147*y**2 - 1486*y = 0.
-743, -2/15, 0
Find o, given that 3*o**5 - 171*o**3 + 600*o**2 - 432*o = 0.
-9, 0, 1, 4
Determine p so that 4*p**2/3 - 316*p/3 - 1880 = 0.
-15, 94
Factor -w**2/2 + 12524*w - 78425288.
-(w - 12524)**2/2
Determine d so that -2*d**3 + 17167*d**2 + 25757*d - 17170 = 0.
-2, 1/2, 8585
What is j in -21*j**5/5 + 1653*j**4/5 - 3093*j**3 - 67869*j**2/5 - 3618*j = 0?
-3, -2/7, 0, 15, 67
Factor o**4/3 - 5200*o**3/3 - 4*o**2/3 + 20800*o/3.
o*(o - 5200)*(o - 2)*(o + 2)/3
Determine o, given that -4*o**5 + 1836*o**4 - 19852*o**3 + 62820*o**2 - 44800*o = 0.
0, 1, 5, 448
Factor -2*p**2/17 - 344982*p/17.
-2*p*(p + 172491)/17
Factor -4*z**3/9 + 52*z**2 - 3128*z/9 + 1760/3.
-4*(z - 110)*(z - 4)*(z - 3)/9
Suppose -243*u**5 + 1726866*u**4 - 3064896615*u**3 - 10922239848*u**2 + 5308311780*u - 606625200 = 0. Calculate u.
-4, 2/9, 3555
What is s in -4*s**4/19 - 582*s**3/19 - 3654*s**2/19 - 5578*s/19 - 2502/19 = 0?
-139, -9/2, -1
Suppose 2*y**3/11 + 21438*y**2/11 - 64340*y/11 - 85776/11 = 0. Calculate y.
-10722, -1, 4
Factor 105*c**3 - 733*c**2 - 854*c - 16.
(c - 8)*(c + 1)*(105*c + 2)
What is v in -2*v**2 + 29042*v = 0?
0, 14521
Factor 3*y**3 + 42315*y**2 + 169224*y + 169212.
3*(y + 2)**2*(y + 14101)
What is a in 14*a**4/11 + 3042*a**3/11 + 15792*a**2/11 + 22072*a/11 + 5088/11 = 0?
-212, -3, -2, -2/7
Determine q, given that 2*q**4/7 + 16*q**3/7 - 396*q**2 - 49936*q/7 - 47150/7 = 0.
-25, -23, -1, 41
Find a such that -4*a**4 - 126404*a**3 - 998433576*a**2 + 2996185616*a - 1997625632 = 0.
-15802, 1, 2
Find a, given that 20*a**2 + 587368*a + 234944 = 0.
-29368, -2/5
Let -47*p**2/2 + 671*p - 364 = 0. Calculate p.
26/47, 28
Factor a**3/5 - 16*a**2 + 68*a/5 + 50864/5.
(a - 68)*(a - 34)*(a + 22)/5
Factor z**2 + 237*z + 3122.
(z + 14)*(z + 223)
Factor -5*x**5 - 35*x**4 - 95*x**3 - 125*x**2 - 80*x - 20.
-5*(x + 1)**3*(x + 2)**2
Determine h so that h**5 - 814*h**4 + 164832*h**3 + 332928*h**2 = 0.
-2, 0, 408
Solve -2*p**3/3 - 7942*p**2 - 23649290*p + 70971698/3 = 0 for p.
-5957, 1
Find g such that 18*g**3 - 2174*g**2 - 39940*g - 8768 = 0.
-16, -2/9, 137
Solve -5*s**3 - 260*s**2 + 29815*s - 525450 = 0 for s.
-113, 30, 31
Suppose -k**2/6 - 10219*k/6 + 5110/3 = 0. What is k?
-10220, 1
Factor 5*n**3 - 5070*n**2 - 51320*n + 122880.
5*(n - 1024)*(n - 2)*(n + 12)
Factor -3*i**2/2 + 356196*i - 712389/2.
-3*(i - 237463)*(i - 1)/2
Factor 2*m**2/5 + 174*m + 868/5.
2*(m + 1)*(m + 434)/5
Factor 4*s**3 + 372*s**2 - 3184*