ulate s.
-3, 0, 1
What is y in -y**2 - 7*y + 30 = 0?
-10, 3
Let -3*a**4 + 99*a**3 - 279*a**2 + 273*a - 90 = 0. What is a?
1, 30
Solve 54*r**5/5 + 108*r**4/5 + 72*r**3/5 + 16*r**2/5 = 0.
-2/3, 0
Factor 2*a**2 + 2*a - 144.
2*(a - 8)*(a + 9)
Factor 4*o**2 + 76*o + 312.
4*(o + 6)*(o + 13)
Suppose -3*l**3/4 - 9*l**2 + 81*l/4 - 21/2 = 0. Calculate l.
-14, 1
Determine p, given that -p**2/5 + 23*p - 114/5 = 0.
1, 114
Factor 3*o**5 - 21*o**4 - 198*o**3 - 438*o**2 - 381*o - 117.
3*(o - 13)*(o + 1)**3*(o + 3)
Factor -5*s**2 - 45*s + 50.
-5*(s - 1)*(s + 10)
Find k such that -2*k**5 - 20*k**4 - 64*k**3 - 52*k**2 + 66*k + 72 = 0.
-4, -3, -1, 1
Factor 2*b**5 + 134*b**4 - 556*b**3 + 844*b**2 - 566*b + 142.
2*(b - 1)**4*(b + 71)
Find k, given that -4*k**4 + 56*k**3 + 332*k**2 - 816*k + 432 = 0.
-6, 1, 18
Factor 5*y**3 - 695*y**2 + 4035*y - 5985.
5*(y - 133)*(y - 3)**2
Factor r**3/4 + 4*r**2 - 9*r - 144.
(r - 6)*(r + 6)*(r + 16)/4
Factor h**5/5 + 26*h**4/5 + 232*h**3/5 + 774*h**2/5 + 567*h/5.
h*(h + 1)*(h + 7)*(h + 9)**2/5
Find u, given that -6*u**2 + 490*u + 496 = 0.
-1, 248/3
Factor -2*g**4/3 - 342*g**3 - 2036*g**2 - 12184*g/3 - 2704.
-2*(g + 2)**3*(g + 507)/3
Factor -51*o**2 - 312*o - 36.
-3*(o + 6)*(17*o + 2)
Let 2*j**2 + 50*j = 0. What is j?
-25, 0
Factor -2*k**4/3 - 2*k**3 + 20*k**2/3.
-2*k**2*(k - 2)*(k + 5)/3
Solve -2*y**2/3 - 996*y - 372006 = 0 for y.
-747
Suppose 7*y**4 + 681*y**3 + 16315*y**2 - 12201*y - 4802 = 0. What is y?
-49, -2/7, 1
Factor w**3/2 + 131*w**2 + 259*w/2 - 261.
(w - 1)*(w + 2)*(w + 261)/2
Solve 4*c**5/17 + 10*c**4/17 - 44*c**3/17 - 96*c**2/17 + 72*c/17 + 54/17 = 0 for c.
-3, -1/2, 1, 3
Factor -2*u**3/9 + 2*u**2/9 + 4*u/3.
-2*u*(u - 3)*(u + 2)/9
Factor 5*n**2 + 1085*n + 3210.
5*(n + 3)*(n + 214)
Factor 4*m**2/5 + 68*m/5 - 48.
4*(m - 3)*(m + 20)/5
Determine g, given that -2*g**4 - 48*g**3 + 216*g**2 - 224*g = 0.
-28, 0, 2
What is l in 4*l**4/3 - 352*l**3/3 + 1280*l**2 - 14848*l/3 + 19456/3 = 0?
4, 76
Factor -2*c**2/7 - 148*c/7 - 80.
-2*(c + 4)*(c + 70)/7
Solve r**5 - 7*r**4 + 3*r**3 + 59*r**2 - 104*r + 48 = 0.
-3, 1, 4
Solve 3*m**2/4 - m/8 = 0.
0, 1/6
Determine m so that 45*m**5 + 145*m**4 - 645*m**3 + 615*m**2 - 100*m - 60 = 0.
-6, -2/9, 1
What is q in -q**2/4 + 25*q/4 - 6 = 0?
1, 24
Let 2*m**2/5 + 66*m - 668/5 = 0. Calculate m.
-167, 2
Solve 4*v**2 + 3992*v + 996004 = 0 for v.
-499
Solve 2*v**2/9 + 17180*v/9 + 36894050/9 = 0.
-4295
Let 6*r**3/11 - 276*r**2/11 + 4134*r/11 - 20280/11 = 0. Calculate r.
13, 20
Let 2*a**4/7 - 44*a**3/7 - 2*a**2/7 + 44*a/7 = 0. What is a?
-1, 0, 1, 22
Solve -5*s**5 - 375*s**4 + 1560*s**3 - 1580*s**2 = 0 for s.
-79, 0, 2
Suppose -i**3/7 - 78*i**2/7 + 499*i/7 - 60 = 0. What is i?
-84, 1, 5
Solve -574*q**3/9 + 764*q**2/3 + 962*q/3 + 20/9 = 0.
-1, -2/287, 5
Let -9*b**5/8 + 75*b**4/8 - 127*b**3/8 - 3*b**2/8 + 13*b/2 + 3/2 = 0. Calculate b.
-1/3, 1, 2, 6
Suppose -a**2/8 - 10*a - 200 = 0. What is a?
-40
Factor -2*r**2/5 - 1032*r/5.
-2*r*(r + 516)/5
Determine t, given that -t**2/2 - 1171*t/2 - 1752 = 0.
-1168, -3
Suppose 4*m**4 + 8*m**3 - 4*m**2 - 8*m = 0. What is m?
-2, -1, 0, 1
Find u such that -2*u**5/7 + 34*u**4/7 + 1166*u**3/7 + 3230*u**2/7 + 300*u = 0.
-15, -2, -1, 0, 35
Factor -j**2/5 + 1704*j/5.
-j*(j - 1704)/5
Solve 60*r**5 - 245*r**4 - 160*r**3 + 1095*r**2 - 90*r = 0 for r.
-2, 0, 1/12, 3
Find b such that 5*b**5 - 40*b**4 + 65*b**3 + 110*b**2 - 160*b - 160 = 0.
-1, 2, 4
Factor -5*s**3 + 285*s**2 - 2530*s.
-5*s*(s - 46)*(s - 11)
Factor b**2/3 + 9*b + 176/3.
(b + 11)*(b + 16)/3
Factor -q**3 + 19*q**2 - 87*q + 117.
-(q - 13)*(q - 3)**2
Find c, given that -2*c**5 + 6*c**4 - 4*c**3 = 0.
0, 1, 2
Solve -18*v**5/11 + 240*v**4/11 - 284*v**3/11 - 56*v**2/11 + 94*v/11 + 24/11 = 0.
-1/3, 1, 12
Factor -5*h**3 + 20*h**2 + 5*h - 20.
-5*(h - 4)*(h - 1)*(h + 1)
Determine x so that -3*x**5/5 + 39*x**4/5 + 306*x**3/5 + 654*x**2/5 + 561*x/5 + 171/5 = 0.
-3, -1, 19
Let -2*t**2 - 2846*t/3 + 1900/3 = 0. What is t?
-475, 2/3
Factor 8*y**3 - 44*y**2 - 80*y - 28.
4*(y - 7)*(y + 1)*(2*y + 1)
Factor -5*z**2 - 135*z - 460.
-5*(z + 4)*(z + 23)
Factor -2*l**2/15 + 10*l/3 - 76/5.
-2*(l - 19)*(l - 6)/15
Find z such that 3*z**2/4 + 123*z/2 + 540 = 0.
-72, -10
Find f such that 6*f**4/5 + 93*f**3/5 + 39*f**2/5 - 93*f/5 - 9 = 0.
-15, -1, -1/2, 1
Solve 4*c**2 - 872*c + 868 = 0.
1, 217
Factor -3*q**3 + 216*q**2 - 987*q - 1206.
-3*(q - 67)*(q - 6)*(q + 1)
Factor 4*a**3 + 60*a**2 + 264*a + 320.
4*(a + 2)*(a + 5)*(a + 8)
Determine p so that -55*p**4 - 90*p**3 + 95*p**2 + 90*p - 40 = 0.
-2, -1, 4/11, 1
Factor 2*c**3 + 31*c**2 + 40*c - 28.
(c + 2)*(c + 14)*(2*c - 1)
What is i in -i**4 + 2*i**3 + 292*i**2 + 574*i + 285 = 0?
-15, -1, 19
Factor 5*w**5 - 5*w**4 - 25*w**3 - 15*w**2.
5*w**2*(w - 3)*(w + 1)**2
Solve -35*l**4/4 + 545*l**3 - 10805*l**2/4 + 3720*l - 855 = 0.
2/7, 2, 3, 57
What is w in -2*w**2/7 - 808*w/7 - 81608/7 = 0?
-202
Factor -4*w**3 - 80*w**2 + 84*w.
-4*w*(w - 1)*(w + 21)
Factor 3*g**2/8 + 105*g/4 - 2133/8.
3*(g - 9)*(g + 79)/8
Suppose -5*c**4 + 140*c**3 - 1135*c**2 + 700*c + 16500 = 0. What is c?
-3, 10, 11
What is x in -196*x**5 - 252*x**4 + 332*x**3 + 108*x**2 + 8*x = 0?
-2, -1/7, 0, 1
Factor f**3/5 + 6*f**2/5 - 19*f/5 - 24/5.
(f - 3)*(f + 1)*(f + 8)/5
Determine z, given that -3*z**2 - 12*z - 12 = 0.
-2
Solve -2*x**4/3 + 12*x**3 - 26*x**2/3 - 48*x + 136/3 = 0 for x.
-2, 1, 2, 17
Determine t, given that -4*t**5/5 - 44*t**4/5 - 156*t**3/5 - 196*t**2/5 - 16*t = 0.
-5, -4, -1, 0
Factor 3*y**2/2 - 3*y/2 - 9.
3*(y - 3)*(y + 2)/2
Solve -t**3/3 + 44*t**2 + 45*t - 266/3 = 0 for t.
-2, 1, 133
Determine y so that y**3 - 65*y**2 - 66*y = 0.
-1, 0, 66
Factor -3*c**3 - 78*c**2 + 12*c + 312.
-3*(c - 2)*(c + 2)*(c + 26)
Find i such that i**3/4 - 7*i**2/2 - 8*i = 0.
-2, 0, 16
Factor 5*o**3 + 35*o**2 - 960*o + 3420.
5*(o - 6)**2*(o + 19)
Let -20*w**2 + 84*w - 16 = 0. Calculate w.
1/5, 4
Determine j so that -j**4 + 4*j**3 - 5*j**2 + 2*j = 0.
0, 1, 2
Factor 4*s**3/5 - 4*s**2 + 28*s/5 - 12/5.
4*(s - 3)*(s - 1)**2/5
Solve -c**5/3 + c**4 + 38*c**3/3 + 8*c**2 - 64*c/3 = 0 for c.
-4, -2, 0, 1, 8
Suppose -2*m**2/7 - 6*m/7 + 8 = 0. Calculate m.
-7, 4
Factor 6*d**3/5 + 8*d**2/5 - 98*d/5 + 12.
2*(d - 3)*(d + 5)*(3*d - 2)/5
Factor -4*n**2 + 57080*n - 203632900.
-4*(n - 7135)**2
Factor 9*l**3 + 7890*l**2 - 2631*l.
3*l*(l + 877)*(3*l - 1)
Find u, given that u**2/5 + 32*u/5 + 12 = 0.
-30, -2
Solve -x**3 - 147*x**2 + 148*x = 0 for x.
-148, 0, 1
Factor 3*j**3/4 - 1350*j**2 + 810000*j - 162000000.
3*(j - 600)**3/4
What is d in 20*d**3/13 - 378*d**2/13 + 322*d/13 + 36/13 = 0?
-1/10, 1, 18
Suppose -q**2/5 - 48*q/5 - 576/5 = 0. What is q?
-24
Let -7*n**4 + 9*n**3 + 5*n**2 - 9*n + 2 = 0. Calculate n.
-1, 2/7, 1
What is g in -2*g**4/7 - 2*g**3/7 + 4*g**2/7 = 0?
-2, 0, 1
Let 5*c**5/4 + 29*c**4/2 + 34*c**3 - 76*c**2 - 156*c + 72 = 0. What is c?
-6, -2, 2/5, 2
Determine i, given that 3*i**4 + 1470*i**3 + 7299*i**2 + 11652*i + 5820 = 0.
-485, -2, -1
Factor -5*h**3 - 35*h**2 - 35*h + 75.
-5*(h - 1)*(h + 3)*(h + 5)
Factor -4*b**2 + 72*b + 1120.
-4*(b - 28)*(b + 10)
Factor 3*g**2 - 870*g + 867.
3*(g - 289)*(g - 1)
Factor -6*i**2/13 - 70*i/13 + 24/13.
-2*(i + 12)*(3*i - 1)/13
Determine k, given that k**5/8 + 3*k**4/4 - 9*k**3/2 + 5*k**2 = 0.
-10, 0, 2
Let -8*b**5/7 - 160*b**4/7 - 554*b**3/7 - 694*b**2/7 - 356*b/7 - 64/7 = 0. Calculate b.
-16, -2, -1, -1/2
Determine w so that 28*w**3 + 804*w**2 - 232*w = 0.
-29, 0, 2/7
Suppose 8*b**5/9 - 68*b**4/9 - 16*b**3/3 + 104*b**2/9 + 40*b/9 - 4 = 0. Calculate b.
-1, 1/2, 1, 9
Factor 2*l**4/9 + 14*l**3/9 - 20*l**2/9 - 32*l/9.
2*l*(l - 2)*(l + 1)*(l + 8)/9
Suppose -5*r**4 - 10*r**3 = 0. What is r?
-2, 0
Let -35*c**4 - 200*c**3 + 95*c**2 + 200*c - 60 = 0. Calculate c.
-6, -1, 2/7, 1
Factor 33895575246*a**4 - 11241429784*a**3 - 18999708*a**2 - 10680*a - 2.
2*(3*a - 1)*(1781*a + 1)**3
What is h in 217*h**5 + 954*h**4 + 1426*h**3 + 852*h**2 + 157*h - 6 = 0?
-2, -1, -3/7, 1/31
Let -3*w**5 + 97*w**4/7 - 75*w**3/7 - 15*w**2 + 76*w/7 - 12/7 = 0. Calculate w.
-1, 2/7, 1/3, 2, 3
Factor -4*i**2 + 10244*i + 20504.
-4*(i - 2563)*(i + 2)
Factor g**5/4 + 21*g**4/2 + 41*g**3/4.
g**3*(g + 1)*(g + 41)/4
Factor -2500*x**3 - 17650*x**2 - 4209*x/4 - 63/4.
-(x + 7)*(100*x + 3)**2/4
Factor -10*r**3 + 615*r**2 - 890*r - 600.
-5*(r - 60)*(r - 2)*(2*r + 1)
Deter