0. Calculate b.
-12, -1, 1
Determine y, given that 2*y**2 - 36*y - 990 = 0.
-15, 33
Factor h**4/4 + 7*h**3/4 + 7*h**2/2 + 2*h.
h*(h + 1)*(h + 2)*(h + 4)/4
Suppose 2*p**3/5 + 54*p**2 + 796*p/5 + 528/5 = 0. Calculate p.
-132, -2, -1
Factor -r**3/2 + 3*r**2 + 31*r/2 - 18.
-(r - 9)*(r - 1)*(r + 4)/2
Factor 2*a**3/3 - 170*a**2/3 + 858*a - 3618.
2*(a - 67)*(a - 9)**2/3
Let -33*s**5 - 6*s**4 + 33*s**3 + 6*s**2 = 0. What is s?
-1, -2/11, 0, 1
Factor -3*l**3/4 + 129*l/4 + 63/2.
-3*(l - 7)*(l + 1)*(l + 6)/4
Determine a, given that -5*a**5 - 590*a**4 - 17975*a**3 - 33050*a**2 + 17980*a + 33640 = 0.
-58, -2, -1, 1
Factor -2*d**2/15 - 8*d/15 + 2/3.
-2*(d - 1)*(d + 5)/15
Solve p**3/6 - 26*p**2/3 = 0.
0, 52
Factor c**5 - 8*c**4 + 25*c**3 - 38*c**2 + 28*c - 8.
(c - 2)**3*(c - 1)**2
Determine b so that -39*b**2/5 - 363*b/5 - 108/5 = 0.
-9, -4/13
Factor 2*y**4/7 + 16*y**3/7 - 2*y**2/7 - 136*y/7 - 24.
2*(y - 3)*(y + 2)**2*(y + 7)/7
Suppose 4*i**4 + 172*i**3 - 1140*i**2 + 1764*i = 0. What is i?
-49, 0, 3
Find h such that 3*h**2/2 + 564*h + 53016 = 0.
-188
Factor 5*m**5 + 10*m**4 - 15*m**3 - 40*m**2 - 20*m.
5*m*(m - 2)*(m + 1)**2*(m + 2)
Determine w, given that 2*w**3 + 4*w**2 - 8*w - 16 = 0.
-2, 2
Find q such that 9*q**3/5 - 27*q**2/5 - q/5 + 3/5 = 0.
-1/3, 1/3, 3
What is b in b**4 - 34*b**3 + 420*b**2 - 2200*b + 4000 = 0?
4, 10
Factor z**2 - 982*z - 2955.
(z - 985)*(z + 3)
Solve k**3 - 6*k**2 + 3*k + 10 = 0 for k.
-1, 2, 5
Determine d so that -3*d**4/8 - 117*d**3/8 - 1197*d**2/8 - 1083*d/8 = 0.
-19, -1, 0
Suppose 20*u**3 + 65*u**2 + 55*u + 10 = 0. Calculate u.
-2, -1, -1/4
Solve -4*p**2 + 884*p - 880 = 0.
1, 220
Factor -2*l**3 - 254*l**2 + 1332*l + 1584.
-2*(l - 6)*(l + 1)*(l + 132)
Factor g**3/2 + g**2/2 - 5*g/2 + 3/2.
(g - 1)**2*(g + 3)/2
Factor 8*o**3 - 7160*o**2 + 7154*o - 1788.
2*(o - 894)*(2*o - 1)**2
Factor x**4 + 137*x**3 + 4623*x**2 - 4761*x.
x*(x - 1)*(x + 69)**2
Suppose g**5 + 10*g**4 + 37*g**3 + 60*g**2 + 36*g = 0. What is g?
-3, -2, 0
Factor -2*l**4/7 + 62*l**3/7 + 64*l**2/7.
-2*l**2*(l - 32)*(l + 1)/7
Find l such that -2*l**2/3 + 706*l/3 + 712 = 0.
-3, 356
Suppose 10*g**3 + 55*g**2 - 10*g - 55 = 0. What is g?
-11/2, -1, 1
Let -5*f**5/2 + 221*f**4/2 + 327*f**3 + 101*f**2 - 649*f/2 - 423/2 = 0. What is f?
-9/5, -1, 1, 47
Factor -f**3/2 - 5*f**2/2 + 4*f + 6.
-(f - 2)*(f + 1)*(f + 6)/2
Suppose -19*t**2/2 - 56*t = 0. Calculate t.
-112/19, 0
Factor -21*d**2 + 2388*d + 684.
-3*(d - 114)*(7*d + 2)
Solve -b**3/4 - 16*b**2 - 957*b/4 + 1089/2 = 0 for b.
-33, 2
Factor 3*r**3 + 99*r**2.
3*r**2*(r + 33)
Determine g so that 2*g**3/19 - 28*g**2/19 - 144*g/19 = 0.
-4, 0, 18
Suppose c**3 + 2*c**2 - 183*c + 180 = 0. What is c?
-15, 1, 12
Factor -2*i**4/17 - 48*i**3/17 - 132*i**2/17 - 128*i/17 - 42/17.
-2*(i + 1)**3*(i + 21)/17
What is l in 10*l**3 - 2944*l**2 + 15626*l - 5780 = 0?
2/5, 5, 289
Determine u, given that 4*u**2 - 24*u - 64 = 0.
-2, 8
Find a, given that -a**2/2 + 623*a/2 + 1254 = 0.
-4, 627
Factor 3*z**2/2 - 87*z - 549/2.
3*(z - 61)*(z + 3)/2
Suppose v**4/2 - 4*v**3 - 75*v**2/2 - 63*v = 0. What is v?
-3, 0, 14
What is i in -4*i**3 + 120*i**2 - 768*i - 2048 = 0?
-2, 16
Suppose c**2/5 + 3*c/5 - 28/5 = 0. Calculate c.
-7, 4
Factor -2*d**3/11 - 456*d**2/11 - 454*d/11.
-2*d*(d + 1)*(d + 227)/11
What is g in 54*g**5/11 + 4050*g**4/11 + 23076*g**3/11 + 4580*g**2 + 48550*g/11 + 17250/11 = 0?
-69, -5/3, -1
What is t in t**4 - 11*t**3 + 38*t**2 - 52*t + 24 = 0?
1, 2, 6
Factor -2*j**3 + 16*j**2 - 18*j - 36.
-2*(j - 6)*(j - 3)*(j + 1)
Factor 3*u**2/7 + 462*u + 124509.
3*(u + 539)**2/7
Factor 8*m**2/3 + 7466*m/3 + 622.
2*(m + 933)*(4*m + 1)/3
Factor -v**5 + 18*v**4 + 22*v**3 - 52*v**2 - 93*v - 38.
-(v - 19)*(v - 2)*(v + 1)**3
Factor 2*r**5 - 28*r**4 + 138*r**3 - 280*r**2 + 200*r.
2*r*(r - 5)**2*(r - 2)**2
Solve f**3/9 - 31*f**2/9 + 136*f/9 - 52/3 = 0 for f.
2, 3, 26
Find k such that 4*k**3 + 3552*k**2 + 795600*k + 3125824 = 0.
-442, -4
Factor 4*w**3/7 - 60*w**2/7 + 152*w/7 - 96/7.
4*(w - 12)*(w - 2)*(w - 1)/7
Factor -126*a**3 - 276*a**2 - 344*a/7 - 16/7.
-2*(a + 2)*(21*a + 2)**2/7
Solve -k**5 - 19*k**4 - 111*k**3 - 173*k**2 + 112*k + 192 = 0 for k.
-8, -3, -1, 1
Factor f**4/7 + 5*f**3/7 + 3*f**2/7 - 9*f/7.
f*(f - 1)*(f + 3)**2/7
Factor 2*y**2 - 4*y.
2*y*(y - 2)
Suppose -3*z**5 - 6*z**4 + 12*z**3 + 6*z**2 - 9*z = 0. Calculate z.
-3, -1, 0, 1
Factor -2*o**3/13 + 54*o**2/13 + 2*o/13 - 54/13.
-2*(o - 27)*(o - 1)*(o + 1)/13
Factor -4*f**5/7 + 340*f**4/7 - 48*f**3.
-4*f**3*(f - 84)*(f - 1)/7
Factor s**3 - 22*s**2 + 115*s - 150.
(s - 15)*(s - 5)*(s - 2)
Find k such that 4*k**2 - 256*k - 1088 = 0.
-4, 68
Factor m**2/4 - 58*m - 233/4.
(m - 233)*(m + 1)/4
Factor 2*n**3 - 160*n**2 - 328*n.
2*n*(n - 82)*(n + 2)
Factor -w**3/2 + w**2 + 25*w/2 - 25.
-(w - 5)*(w - 2)*(w + 5)/2
Suppose 63*z**4/4 + 50*z**3 - 221*z**2/4 - 25*z/2 + 2 = 0. Calculate z.
-4, -2/7, 1/9, 1
Suppose 2*u**3 + 19*u**2/4 - 29*u/2 - 6 = 0. Calculate u.
-4, -3/8, 2
Factor -2*p**4/3 - 58*p**3/3 + 62*p**2 - 190*p/3 + 64/3.
-2*(p - 1)**3*(p + 32)/3
Determine y so that 2*y**3/9 + 376*y**2/9 - 1528*y/9 + 512/3 = 0.
-192, 2
Factor -x**3 + 99*x**2 - 2295*x - 7803.
-(x - 51)**2*(x + 3)
Factor -15*v**2 + 684*v.
-3*v*(5*v - 228)
Solve -4*l**2 + 108*l - 368 = 0.
4, 23
Determine n, given that -4*n**5/7 + 8*n**4/7 + 20*n**3/7 - 40*n**2/7 - 16*n/7 + 32/7 = 0.
-2, -1, 1, 2
Factor t**2/3 + 91*t/3 + 30.
(t + 1)*(t + 90)/3
Suppose 2*t**2/9 + 1636*t/9 + 6512/9 = 0. What is t?
-814, -4
Let 30258*m**4/11 + 120048*m**3/11 + 117104*m**2/11 - 3904*m/11 + 32/11 = 0. Calculate m.
-2, 2/123
Factor -12*m**3 - 16*m**2 + 20*m + 8.
-4*(m - 1)*(m + 2)*(3*m + 1)
Solve 4*s**5 + 1300*s**4 + 110092*s**3 + 728268*s**2 + 1633248*s + 1213488 = 0.
-159, -3, -2
Solve 4*w**4/11 + 6*w**3/11 - 2*w**2/11 - 6*w/11 - 2/11 = 0.
-1, -1/2, 1
Factor i**3/9 + 14*i**2/9 + 35*i/9 + 22/9.
(i + 1)*(i + 2)*(i + 11)/9
Suppose -2*v**3/7 + 30*v**2/7 - 4*v = 0. What is v?
0, 1, 14
What is a in 3*a**4 + 241*a**3/3 + 486*a**2 - 700*a + 392/3 = 0?
-14, 2/9, 1
Suppose -5*w**5 + 5*w**4 + 55*w**3 + 35*w**2 - 50*w - 40 = 0. Calculate w.
-2, -1, 1, 4
Find d such that 2*d**3 + 38*d**2/7 - 152*d/7 + 40/7 = 0.
-5, 2/7, 2
Let -k**4/3 + 34*k**3/3 - 60*k**2 + 344*k/3 - 224/3 = 0. What is k?
2, 28
Let 27*s**5/2 + 25*s**4/2 - 29*s**3/2 - 25*s**2/2 + s = 0. What is s?
-1, 0, 2/27, 1
Find j, given that 21*j**5 - 309*j**4 - 153*j**3 + 885*j**2 + 888*j + 180 = 0.
-1, -2/7, 2, 15
Factor -d**3 - 30*d**2 + d + 30.
-(d - 1)*(d + 1)*(d + 30)
Factor 4*a**5 + 36*a**4 + 120*a**3 + 184*a**2 + 132*a + 36.
4*(a + 1)**3*(a + 3)**2
Determine u, given that -4*u**4 - 60*u**3 + 692*u**2 - 1092*u - 1840 = 0.
-23, -1, 4, 5
What is j in j**4/4 + 3*j**3/4 = 0?
-3, 0
Factor 7*u**3/6 + 20*u**2/3 - 61*u/6 + 7/3.
(u - 1)*(u + 7)*(7*u - 2)/6
Factor 87*s**2 + 3201*s - 666.
3*(s + 37)*(29*s - 6)
Factor -i**2 + 19*i - 60.
-(i - 15)*(i - 4)
Factor 28*v**4 + 188*v**3 - 896*v**2 + 240*v.
4*v*(v - 3)*(v + 10)*(7*v - 2)
Suppose 25*z**5 + 90*z**4 + 120*z**3 + 70*z**2 + 15*z = 0. Calculate z.
-1, -3/5, 0
Factor 2*f**2 - 5648*f + 5646.
2*(f - 2823)*(f - 1)
Let -4*t**4 - 224*t**3 - 212*t**2 + 440*t = 0. Calculate t.
-55, -2, 0, 1
Factor -5*j**4 + 70*j**3 - 260*j**2 + 330*j - 135.
-5*(j - 9)*(j - 3)*(j - 1)**2
Factor 64*a**3 - 3360*a**2 + 1668*a - 208.
4*(a - 52)*(4*a - 1)**2
Factor -9*l**3/7 + 15*l**2 + 36*l/7.
-3*l*(l - 12)*(3*l + 1)/7
Suppose -6*h**3/11 - 720*h**2/11 - 1422*h/11 - 708/11 = 0. What is h?
-118, -1
Factor -12*c**2 - 81*c + 21.
-3*(c + 7)*(4*c - 1)
Factor -b**5 + 104*b**4 - 2703*b**3 - 104*b**2 + 2704*b.
-b*(b - 52)**2*(b - 1)*(b + 1)
Factor -2*q**3/13 - 1236*q**2/13 + 2480*q/13.
-2*q*(q - 2)*(q + 620)/13
Determine n so that -2*n**4 + 10*n**3 + 18*n**2 - 162*n + 216 = 0.
-4, 3
Determine z, given that z**4/3 - 4*z**3/3 - 29*z**2/3 - 8*z = 0.
-3, -1, 0, 8
Factor 2*n**3 + 3*n**2 + n.
n*(n + 1)*(2*n + 1)
What is j in -10*j**3/7 + 4*j**2 + 6*j/7 = 0?
-1/5, 0, 3
Find d, given that -4*d**4/7 + 720*d**3/7 - 2136*d**2/7 + 304*d - 708/7 = 0.
1, 177
Suppose -3*b**4 - 6*b**3 + 48*b**2 + 96*b = 0. Calculate b.
-4, -2, 0, 4
Factor -2*c**4/11 - 14*c**3/11 - 2*c**2 - 10*c/11.
-2*c*(c + 1)**2*(c + 5)/11
Determine h, given that 3*h**2 + 27*h + 54 = 0.
-6, -3
What is d in -8*d**5/9 + 170*d**4/9 - 622*d**3/9 + 766*d**2/9 - 34*d = 0