-3, -2
Factor 5*b**4 + 280*b**3 + 4835*b**2 + 24720*b + 20160.
5*(b + 1)*(b + 7)*(b + 24)**2
Factor 4*f**4/7 - 32*f**3/7 + 4*f**2.
4*f**2*(f - 7)*(f - 1)/7
Factor -5*t**4 + 145*t**3 - 270*t**2.
-5*t**2*(t - 27)*(t - 2)
Find x such that 3*x**4 - 33*x**3 + 30*x**2 = 0.
0, 1, 10
Suppose 5*i**2 + 150*i + 1125 = 0. What is i?
-15
What is a in -12*a**4 - 207*a**3 + 174*a**2 + 207*a - 162 = 0?
-18, -1, 3/4, 1
Factor 2*z**5/21 - 754*z**4/21.
2*z**4*(z - 377)/21
Find s, given that -2*s**2/11 + 1852*s/11 - 7376/11 = 0.
4, 922
Suppose 2*k**2/5 + 456*k/5 + 25992/5 = 0. What is k?
-114
Suppose -28*s**5/5 - 64*s**4/5 + 92*s**3 + 128*s**2 - 1872*s/5 - 576/5 = 0. Calculate s.
-4, -3, -2/7, 2, 3
Factor 3*q**3 + 243*q**2 + 5265*q + 13689.
3*(q + 3)*(q + 39)**2
Find h, given that h**5/4 - 3*h**4/8 - 5*h**3/8 + 13*h**2/8 - 9*h/8 + 1/4 = 0.
-2, 1/2, 1
Factor 6*d**4/7 - 3180*d**3/7 - 6378*d**2/7 - 456*d.
6*d*(d - 532)*(d + 1)**2/7
Factor -2*j**3/13 - 10*j**2/13 - 8*j/13.
-2*j*(j + 1)*(j + 4)/13
What is j in -4*j**4 - 8*j**3 + 16*j**2 + 8*j - 12 = 0?
-3, -1, 1
Let -o**5 - 30*o**4 + 65*o**3 + 30*o**2 - 64*o = 0. Calculate o.
-32, -1, 0, 1, 2
What is f in -f**3/5 - 57*f**2/5 - 1083*f/5 - 6859/5 = 0?
-19
Find b such that -4*b**3 - 11160*b**2 - 7795248*b - 15545888 = 0.
-1394, -2
Find m, given that 2*m**5/7 + 46*m**4/7 - 6*m**3/7 - 134*m**2/7 + 92*m/7 = 0.
-23, -2, 0, 1
Factor -2*f**3 - 4*f**2 + 798*f.
-2*f*(f - 19)*(f + 21)
Factor -l**2/3 - 20*l - 59/3.
-(l + 1)*(l + 59)/3
Find i such that -i**4 + 12*i**3 - 29*i**2 + 18*i = 0.
0, 1, 2, 9
Determine v, given that 3*v**2/7 - 4482*v/7 = 0.
0, 1494
Determine p, given that 2*p**4 + 54*p**3 - 56*p**2 = 0.
-28, 0, 1
Factor -d**5 - 12*d**4 - 53*d**3 - 106*d**2 - 96*d - 32.
-(d + 1)**2*(d + 2)*(d + 4)**2
Factor s**4/6 + 5*s**3/6 + s**2.
s**2*(s + 2)*(s + 3)/6
Let d**5/8 - 9*d**4/8 + 31*d**3/8 - 51*d**2/8 + 5*d - 3/2 = 0. Calculate d.
1, 2, 3
Factor 5*q**2 - 73130*q + 267399845.
5*(q - 7313)**2
Determine c, given that -c**3/3 - 112*c**2/3 - 436*c/3 - 144 = 0.
-108, -2
Factor -3*n**2/7 - 3048*n - 5419344.
-3*(n + 3556)**2/7
Factor s**3 + 25*s**2 + 112*s - 588.
(s - 3)*(s + 14)**2
Factor -5*b**3 - 50*b**2 + 120*b.
-5*b*(b - 2)*(b + 12)
Determine i so that 6*i**4/19 - 64*i**3/19 + 118*i**2/19 + 92*i/19 - 96/19 = 0.
-1, 2/3, 3, 8
What is f in -f**4 + 400*f**3 - 39598*f**2 - 80400*f - 40401 = 0?
-1, 201
Factor -p**3 + 88*p**2 + p - 88.
-(p - 88)*(p - 1)*(p + 1)
Solve o**2 - 143*o - 1530 = 0.
-10, 153
Factor -s**4 + 37*s**3 - 70*s**2.
-s**2*(s - 35)*(s - 2)
Factor b**2/2 - 83*b/2 + 536.
(b - 67)*(b - 16)/2
Factor 4*q**3/7 + 20*q**2/7 + 32*q/7 + 16/7.
4*(q + 1)*(q + 2)**2/7
Factor 3*x**3 - 66*x**2 + 465*x - 1050.
3*(x - 10)*(x - 7)*(x - 5)
Let p**5/2 - 17*p**4/2 - 19*p**3/2 + 17*p**2/2 + 9*p = 0. What is p?
-1, 0, 1, 18
Factor -2*h**2/9 - 2*h/9 + 4/3.
-2*(h - 2)*(h + 3)/9
Let -338*b**3 + 51480*b**2 - 2613600*b + 574992000/13 = 0. What is b?
660/13
Solve 5*s**3 - 5630*s**2 - 22580*s - 22600 = 0.
-2, 1130
Determine d so that -2*d**4/15 + 244*d**3/15 - 48*d**2 + 716*d/15 - 238/15 = 0.
1, 119
Factor -5*b**2 + 57*b - 22.
-(b - 11)*(5*b - 2)
Find v such that 2*v**5 - 2*v**4 - 22*v**3 - 14*v**2 + 20*v + 16 = 0.
-2, -1, 1, 4
Factor -5*b**3 - 70*b**2 + 75*b.
-5*b*(b - 1)*(b + 15)
Factor -3*w**3 - 891*w**2 - 3528*w - 3516.
-3*(w + 2)**2*(w + 293)
Factor 2*a**2 - 118*a - 120.
2*(a - 60)*(a + 1)
Factor -5*p**2 - 970*p - 8325.
-5*(p + 9)*(p + 185)
Factor -6*t**2/11 - 2328*t/11 - 225816/11.
-6*(t + 194)**2/11
Factor v**2/11 + 32*v/11 + 60/11.
(v + 2)*(v + 30)/11
Solve t**2 + 642*t + 103041 = 0.
-321
Factor 3*a**2/5 + 18*a - 93/5.
3*(a - 1)*(a + 31)/5
Find k such that -20*k**4 + 175*k**3 - 260*k**2 + 105*k = 0.
0, 3/4, 1, 7
Factor -z**2 + 8*z + 33.
-(z - 11)*(z + 3)
Solve -15*j**4 + 516*j**3 - 699*j**2 + 198*j = 0.
0, 2/5, 1, 33
Factor 4*u**4 - 12*u**3 - 4*u**2 + 12*u.
4*u*(u - 3)*(u - 1)*(u + 1)
Factor 3*l**4/2 - 3*l**3 - 21*l**2/2 - 6*l.
3*l*(l - 4)*(l + 1)**2/2
Factor -y**2/10 - 61*y/2 - 303/5.
-(y + 2)*(y + 303)/10
Solve 2*k**2 - 78*k = 0 for k.
0, 39
Factor -5*i**3 - 65*i**2 + 20*i + 260.
-5*(i - 2)*(i + 2)*(i + 13)
Determine a, given that -4*a**3 - 264*a**2 - 1236*a - 976 = 0.
-61, -4, -1
Factor d**2/10 - d/5.
d*(d - 2)/10
Solve n**3/2 - 3165*n**2/2 + 3339075*n/2 - 1174241375/2 = 0 for n.
1055
Factor -4*p**3 - 748*p**2 + 4*p + 748.
-4*(p - 1)*(p + 1)*(p + 187)
Find g, given that 4*g**3 - 4*g = 0.
-1, 0, 1
Factor 2*b**2 - 202*b - 204.
2*(b - 102)*(b + 1)
Factor 4*r**4 - 2580*r**3.
4*r**3*(r - 645)
Find x such that 3*x**2 - 21*x - 360 = 0.
-8, 15
Let 3*p**2 - 2358*p + 463347 = 0. What is p?
393
Factor -a**2/6 - 1240*a/3 - 768800/3.
-(a + 1240)**2/6
Factor -q**3/2 + 262*q**2 - 34840*q + 135200.
-(q - 260)**2*(q - 4)/2
Suppose 4*b**5/5 + 144*b**4/5 - 1832*b**3/5 - 79344*b**2/5 - 77372*b/5 = 0. What is b?
-29, -1, 0, 23
Factor 2*f**3/13 + 72*f**2/13 + 322*f/13 + 372/13.
2*(f + 2)*(f + 3)*(f + 31)/13
Solve 3*t**5 - 5*t**4 - 7*t**3 + 9*t**2 + 4*t - 4 = 0 for t.
-1, 2/3, 1, 2
Let 3*d**3/4 + 75*d**2/4 + 561*d/4 + 1089/4 = 0. What is d?
-11, -3
Suppose -3*h**3 - 6933*h**2 + 3*h + 6933 = 0. Calculate h.
-2311, -1, 1
Factor f**3/2 + 5*f**2/2 - 25*f/2 - 125/2.
(f - 5)*(f + 5)**2/2
Solve -h**2 + 367*h + 1110 = 0.
-3, 370
Factor 2*h**5 + 22*h**4 + 46*h**3 - 70*h**2.
2*h**2*(h - 1)*(h + 5)*(h + 7)
Determine b, given that -4*b**5 - 16*b**4 - 24*b**3 - 16*b**2 - 4*b = 0.
-1, 0
Determine d so that 5*d**5/3 + 715*d**4/3 + 26600*d**3/3 + 73480*d**2/3 - 2800*d/3 - 98000/3 = 0.
-70, -2, 1
Let b**2/4 + 69*b/4 - 35/2 = 0. Calculate b.
-70, 1
Factor -2*p**4/3 - 10*p**3 - 124*p**2/3 - 32*p.
-2*p*(p + 1)*(p + 6)*(p + 8)/3
Factor -2*c**3/11 - 10*c**2/11 - 16*c/11 - 8/11.
-2*(c + 1)*(c + 2)**2/11
Factor -a**2/3 + 2018*a - 3054243.
-(a - 3027)**2/3
What is c in 4*c**5/7 - 8*c**4 + 96*c**3/7 = 0?
0, 2, 12
Factor 4*f**3 - 28*f**2 + 60*f - 36.
4*(f - 3)**2*(f - 1)
Factor -4*x**3/3 - 272*x**2 - 18496*x - 1257728/3.
-4*(x + 68)**3/3
Suppose 14*w**4 - 50*w**3 + 52*w**2 - 16*w = 0. Calculate w.
0, 4/7, 1, 2
Determine o, given that -13*o**4/4 + 23*o**3/4 - 7*o**2/4 - 3*o/4 = 0.
-3/13, 0, 1
Factor 5*a**2/2 - a/4 - 9/4.
(a - 1)*(10*a + 9)/4
Let -16*q**4/3 - 28*q**3/3 + 184*q**2/3 + 148*q/3 - 16 = 0. Calculate q.
-4, -1, 1/4, 3
Factor -5*h**5 + 15*h**4 + 45*h**3 + 25*h**2.
-5*h**2*(h - 5)*(h + 1)**2
Factor 2*d**3 + 1092*d**2 - 2192*d.
2*d*(d - 2)*(d + 548)
Determine u, given that 6*u**4 + 10*u**3 - 26*u**2 - 2*u + 12 = 0.
-3, -2/3, 1
Suppose -4*k**5 - 24*k**4 + 100*k**3 - 72*k**2 = 0. Calculate k.
-9, 0, 1, 2
Find z, given that -25*z**4 + 90*z**3 + 65*z**2 - 90*z - 40 = 0.
-1, -2/5, 1, 4
Solve b**2/2 + 20*b + 38 = 0.
-38, -2
Find x such that 2*x**2/17 + 66*x/17 - 3416/17 = 0.
-61, 28
Factor 2*k**3/3 - 46*k**2/3 + 60*k.
2*k*(k - 18)*(k - 5)/3
Suppose -4*l**5 - 74*l**4 - 282*l**3 - 442*l**2 - 314*l - 84 = 0. What is l?
-14, -3/2, -1
Factor 4*s**4 - 104*s**3 + 452*s**2 - 688*s + 336.
4*(s - 21)*(s - 2)**2*(s - 1)
Factor 3*f**4 - 30*f**3 + 93*f**2 - 90*f.
3*f*(f - 5)*(f - 3)*(f - 2)
Solve -2*d**5/9 - 136*d**4/9 + 290*d**3/3 - 1340*d**2/9 - 568*d/9 + 592/3 = 0 for d.
-74, -1, 2, 3
Factor -3*i**2 - 729*i + 732.
-3*(i - 1)*(i + 244)
Factor -3*u**3/2 + 153*u**2/2 + 999*u/2 - 94461/2.
-3*(u - 37)**2*(u + 23)/2
Factor 3*y**3 + 51*y**2 + 168*y + 156.
3*(y + 2)**2*(y + 13)
Suppose -2*n**3/11 + 124*n**2/11 - 1922*n/11 = 0. Calculate n.
0, 31
Factor 3*d**3 + 838*d**2 + 279*d.
d*(d + 279)*(3*d + 1)
Factor -27*f**3/7 - 110*f**2/7 + 127*f/7 + 10/7.
-(f - 1)*(f + 5)*(27*f + 2)/7
Let -2*a**2/3 + 88*a = 0. What is a?
0, 132
Let 3*w**3/2 + 165*w**2 + 4992*w + 24336 = 0. Calculate w.
-52, -6
Determine q so that 68*q**5 - 348*q**4 + 652*q**3 - 548*q**2 + 192*q - 16 = 0.
2/17, 1, 2
Determine j so that 3*j**3 + 3*j**2 - 30*j + 24 = 0.
-4, 1, 2
Factor 5*q**3 - 40*q**2 - 155*q - 110.
5*(q - 11)*(q + 1)*(q + 2)
Suppose 3*m**5/2 - 201*m**4 + 13863*m**3/2 - 13266*m**2 + 6534*m = 0. What is m?
0, 1, 66
Factor 3*l**2/5 - 228*l/5 - 2871/5.
3*(l - 87)*(l + 11)/5
Let 35*h**4/6 - 85*h**3/6 + 65*h**2/6 - 5*h/2 = 0. What is h?
0, 3/7, 1
Solve 4*w**3 - 3480*w**2 + 746352*w + 4604256 = 0.
-6, 438
Factor 2*l**3/9 - 102*l**2 + 34960*l/3 + 105800/9.
2*(l - 230)**2*(l + 1)/9
Factor -3*n**3 + 7035*n**2 - 4127784*n + 4120752.
