46)*(9*q + 2)
Let -12*l**4 - 460*l**3 + 312*l**2 = 0. Calculate l.
-39, 0, 2/3
Determine u so that -3*u**4 + 3*u**3 + 3*u**2 - 3*u = 0.
-1, 0, 1
Factor 2*d**2/9 - 10*d/3 - 812/9.
2*(d - 29)*(d + 14)/9
Suppose -i**5 - 18*i**4 - 122*i**3 - 380*i**2 - 525*i - 250 = 0. Calculate i.
-5, -2, -1
Factor 2*p**5/7 + 2*p**4/7 - 18*p**3/7 + 22*p**2/7 - 8*p/7.
2*p*(p - 1)**3*(p + 4)/7
Factor -3*p**3 - 183*p**2.
-3*p**2*(p + 61)
Factor -2*c**4/17 + 56*c**3/17 + 1012*c**2/17 - 19656*c/17 - 246402/17.
-2*(c - 27)**2*(c + 13)**2/17
Let 2*t**5/5 - 14*t**4 + 522*t**3/5 - 1458*t**2/5 + 1404*t/5 = 0. Calculate t.
0, 3, 26
What is m in 2*m**3 - 65*m**2/2 + 8*m = 0?
0, 1/4, 16
Find o, given that o**4/3 - 6*o**3 + 61*o**2/3 + 60*o + 100/3 = 0.
-1, 10
Determine g, given that -3*g**4 - 63*g**3 + 9*g**2 + 195*g + 126 = 0.
-21, -1, 2
Suppose -4*i**2 - 536*i - 17956 = 0. What is i?
-67
Factor -2*b**4/17 + 20*b**3/17 - 66*b**2/17 + 80*b/17 - 32/17.
-2*(b - 4)**2*(b - 1)**2/17
Factor 5*j**3 + 15*j**2 - 80*j + 60.
5*(j - 2)*(j - 1)*(j + 6)
Factor -2*v**3/3 - 4*v**2/3 + 2*v.
-2*v*(v - 1)*(v + 3)/3
Factor 5*i**2 + 50*i - 280.
5*(i - 4)*(i + 14)
Factor -2*x**4/3 - 8*x**3/3 + 22*x**2/3 - 4*x.
-2*x*(x - 1)**2*(x + 6)/3
Find r such that 4*r**2 + 4092*r - 8200 = 0.
-1025, 2
Factor -5*a**3 + 60*a - 80.
-5*(a - 2)**2*(a + 4)
Suppose -3*o**3 - 6*o**2 + 3*o + 6 = 0. What is o?
-2, -1, 1
Factor 4*b**4/5 - 24*b**3/5 + 32*b**2/5 + 24*b/5 - 36/5.
4*(b - 3)**2*(b - 1)*(b + 1)/5
Solve 25*i**3 + 3560*i**2 + 1420*i = 0.
-142, -2/5, 0
Factor -5*z**2 - 20*z.
-5*z*(z + 4)
Factor -4*g**4 + 220*g**3 + 4*g**2 - 220*g.
-4*g*(g - 55)*(g - 1)*(g + 1)
Let -v**2/6 + 175*v/6 - 29 = 0. Calculate v.
1, 174
Factor -y**2/3 + 4910*y/3.
-y*(y - 4910)/3
Factor -r**2/3 - 2576*r/3 - 1658944/3.
-(r + 1288)**2/3
Let 3*h**4/7 - 66*h**3/7 + 99*h**2/7 + 444*h + 420 = 0. Calculate h.
-5, -1, 14
Factor -2*f**3/3 + 38*f/3 - 20.
-2*(f - 3)*(f - 2)*(f + 5)/3
Factor 4*z**3/7 + 8*z**2/7 - 12*z/7.
4*z*(z - 1)*(z + 3)/7
Solve -5*y**2 + 380*y - 7220 = 0 for y.
38
Determine f, given that -3*f**4 - 15*f**3 - 6*f**2 + 60*f + 72 = 0.
-3, -2, 2
Solve -2*k**3 + 2786*k**2 = 0.
0, 1393
Solve g**2 + 101*g - 4092 = 0.
-132, 31
Find k such that -2*k**4/11 - 58*k**3/11 - 246*k**2/11 - 126*k/11 + 432/11 = 0.
-24, -3, 1
Solve 10*p**3 + 285*p**2/2 - 505*p - 1275/2 = 0 for p.
-17, -1, 15/4
Factor -20*h**5/7 - 68*h**4/7 - 32*h**3/7 + 48*h**2/7.
-4*h**2*(h + 2)**2*(5*h - 3)/7
Let d**3/3 + 16*d**2/3 + 80*d/3 + 128/3 = 0. What is d?
-8, -4
Suppose -g**2 - 71*g - 1230 = 0. What is g?
-41, -30
Let -3*u**5/5 - 43*u**4/5 - 144*u**3/5 - 136*u**2/5 + 48*u/5 + 16 = 0. What is u?
-10, -2, -1, 2/3
Find v, given that 2*v**5/13 + 4*v**4/13 - 4*v**3/13 - 8*v**2/13 + 2*v/13 + 4/13 = 0.
-2, -1, 1
Let -3*r**2/2 + 27*r/2 = 0. Calculate r.
0, 9
Let 5*l**3 + 505*l**2 + 1955*l + 1455 = 0. What is l?
-97, -3, -1
Factor -4*p**2/5 - 48*p/5 - 28.
-4*(p + 5)*(p + 7)/5
Factor -2*t**4 - 1312*t**3 - 286452*t**2 - 20719152*t + 21006918.
-2*(t - 1)*(t + 219)**3
Let -4*x**3 + 24600*x**2 - 50430000*x + 34460500000 = 0. Calculate x.
2050
Factor -2*r**3/3 + 16*r**2/3 - 14*r + 12.
-2*(r - 3)**2*(r - 2)/3
Solve -4*j**2/5 - 20*j + 1000 = 0 for j.
-50, 25
Factor 2*n**2/5 - 84*n/5 - 176/5.
2*(n - 44)*(n + 2)/5
Factor 10*k**3 + 13445*k**2 + 33560*k + 13420.
5*(k + 2)*(k + 1342)*(2*k + 1)
Factor 260642*l**4/9 - 54872*l**3/3 + 4332*l**2 - 456*l + 18.
2*(19*l - 3)**4/9
Determine p, given that 10*p**5 + 14*p**4 - 132*p**3 + 212*p**2 - 134*p + 30 = 0.
-5, 3/5, 1
Factor -s**2/5 + 27*s/5 - 34.
-(s - 17)*(s - 10)/5
Factor t**2/2 + 47*t/2 - 24.
(t - 1)*(t + 48)/2
Factor 3*o**2/8 - 273*o/8 - 279/4.
3*(o - 93)*(o + 2)/8
Factor 25*i**3 - 260*i**2 - 500*i + 240.
5*(i - 12)*(i + 2)*(5*i - 2)
Let -3*b**3 - 6*b**2 + 21*b - 12 = 0. What is b?
-4, 1
Factor 2*d**4/11 + 262*d**3/11 + 774*d**2/11 + 70*d + 256/11.
2*(d + 1)**3*(d + 128)/11
Determine h, given that -3*h**3/7 + 3*h**2/7 + 12*h/7 - 12/7 = 0.
-2, 1, 2
Solve -3*w**5/5 - 27*w**4/5 - 78*w**3/5 - 102*w**2/5 - 63*w/5 - 3 = 0 for w.
-5, -1
Factor 2*r**3 + 3768*r**2 + 2366304*r + 495346304.
2*(r + 628)**3
Solve 5*z**3/3 - 565*z**2/3 - 775*z - 585 = 0.
-3, -1, 117
Factor 2*n**3/7 + 10*n**2/7 + 8*n/7.
2*n*(n + 1)*(n + 4)/7
Find j, given that -5*j**2 + 1080*j - 58320 = 0.
108
What is g in -2*g**2/13 + 320*g/13 + 2338/13 = 0?
-7, 167
Factor 4*o**2 + 1292*o + 1288.
4*(o + 1)*(o + 322)
Solve -p**3 + p = 0 for p.
-1, 0, 1
Factor a**2 - 54*a - 1035.
(a - 69)*(a + 15)
Factor 3*q**5 - 6*q**4 - 45*q**3 + 108*q**2.
3*q**2*(q - 3)**2*(q + 4)
Factor -5*n**3/6 + 71*n**2/3 - 518*n/3 + 196/3.
-(n - 14)**2*(5*n - 2)/6
Suppose -d**2/5 + 74*d/5 + 231/5 = 0. Calculate d.
-3, 77
Solve -2*a**4/9 + 166*a**3/9 - 1228*a**2/3 + 9920*a/9 - 6400/9 = 0.
1, 2, 40
Factor -3*l**3 + 1854*l**2 - 381924*l + 26225448.
-3*(l - 206)**3
Solve 2*x**4/5 + 8*x**3/5 + 6*x**2/5 - 8*x/5 - 8/5 = 0 for x.
-2, -1, 1
Factor l**2/3 - 6*l + 32/3.
(l - 16)*(l - 2)/3
Factor -y**2/3 + 208*y - 32448.
-(y - 312)**2/3
Factor -7593750*s**4/7 + 15288750*s**3/7 - 202950*s**2/7 + 386*s/3 - 4/21.
-2*(s - 2)*(225*s - 1)**3/21
Factor -15*i**2 + 358*i + 48.
-(i - 24)*(15*i + 2)
What is u in -3*u**4 + 162*u**3 - 1185*u**2 - 1350*u = 0?
-1, 0, 10, 45
Solve 11*x**4 + 5*x**3 - 17*x**2 - 5*x + 6 = 0 for x.
-1, 6/11, 1
Find v, given that -3*v**2 - 36*v + 1215 = 0.
-27, 15
Factor 3*l**3/4 + 2025*l**2/2 - 3*l/4 - 2025/2.
3*(l - 1)*(l + 1)*(l + 1350)/4
What is n in 2*n**5/13 + 2*n**4/13 - 10*n**3/13 - 10*n**2/13 + 8*n/13 + 8/13 = 0?
-2, -1, 1, 2
Suppose -3*i**4/2 + 3*i**3/2 + 3*i**2 = 0. What is i?
-1, 0, 2
Solve 2*k**4 + 27476*k**3/3 + 94338842*k**2/9 - 62920040*k/9 + 10488200/9 = 0.
-2290, 1/3
Determine i so that i**2/4 - 110*i + 12100 = 0.
220
Solve -3*b**5 + 33*b**4 + 18*b**3 - 222*b**2 + 273*b - 99 = 0 for b.
-3, 1, 11
Find o, given that 5*o**3/4 + 257*o**2/4 + 498*o + 189 = 0.
-42, -9, -2/5
Factor 2*u**2/11 - 4*u/11 - 96/11.
2*(u - 8)*(u + 6)/11
Let 2*l**2 + 68*l - 70 = 0. What is l?
-35, 1
Solve -2*d**3 - 2*d**2 + 66*d - 126 = 0.
-7, 3
Factor 2*z**4/5 - 412*z**3/5 + 5712*z**2 - 684352*z/5 + 1257728/5.
2*(z - 68)**3*(z - 2)/5
Factor 2*l**4/3 - 266*l**3 + 26666*l**2 - 79202*l/3.
2*l*(l - 199)**2*(l - 1)/3
Let -w**4/3 + 25*w**3/3 + 142*w**2/3 + 236*w/3 + 40 = 0. What is w?
-2, -1, 30
Solve k**2 - 60*k + 59 = 0.
1, 59
Factor -3*n**4 - 3*n**3 + 3*n**2 + 3*n.
-3*n*(n - 1)*(n + 1)**2
Find z, given that -2*z**2/3 - 22*z + 68/3 = 0.
-34, 1
Solve 2*q**5/21 + 4*q**4/3 + 14*q**3/3 + 24*q**2/7 = 0.
-9, -4, -1, 0
Factor p**4 - 447*p**3 + 50173*p**2 - 48837*p - 99458.
(p - 223)**2*(p - 2)*(p + 1)
Factor 2*f**3/7 - 16*f**2/7 - 66*f/7.
2*f*(f - 11)*(f + 3)/7
Determine t so that -2*t**3/9 - 20*t**2/9 + 46*t/3 - 20 = 0.
-15, 2, 3
Determine k so that -4*k**5/5 + 232*k**3/5 + 224*k**2/5 - 228*k/5 - 224/5 = 0.
-7, -1, 1, 8
Factor 2*c**5/7 - 166*c**4/7 + 3686*c**3/7 - 10082*c**2/7 + 9760*c/7 - 3200/7.
2*(c - 40)**2*(c - 1)**3/7
Solve -2*h**5/15 - 28*h**4/15 - 74*h**3/15 + 16*h**2/3 + 184*h/15 - 32/3 = 0.
-10, -4, -2, 1
Factor w**2/5 - 1304*w/5.
w*(w - 1304)/5
What is h in 4*h**5 + 16*h**4 + 8*h**3 - 16*h**2 - 12*h = 0?
-3, -1, 0, 1
Determine w, given that -196*w**5/9 + 1190*w**4/9 + 1328*w**3/9 - 346*w**2/9 - 232*w/9 + 56/9 = 0.
-1, -1/2, 2/7, 7
Let -2*y**5 + 30*y**4 - 28*y**3 = 0. Calculate y.
0, 1, 14
Factor 3*v**3/8 + 18567*v**2/8 + 28718505*v/8 - 28737075/8.
3*(v - 1)*(v + 3095)**2/8
What is n in -n**3 + 54*n**2 - 729*n = 0?
0, 27
Determine u, given that 2*u**5 - 22*u**4 - 436*u**3 - 1064*u**2 + 112*u + 1408 = 0.
-8, -2, 1, 22
Factor -3*k**2/4 - 129*k/2 + 3861/4.
-3*(k - 13)*(k + 99)/4
Let -2*a**4 - 42*a**3 - 186*a**2 + 506*a + 1452 = 0. Calculate a.
-11, -2, 3
Factor -5*i**3/4 - 40*i**2 + 5*i/4 + 40.
-5*(i - 1)*(i + 1)*(i + 32)/4
Factor 5*t**2/3 + 5*t - 1040/3.
5*(t - 13)*(t + 16)/3
Factor 2*s**4/9 - 26*s**3/9 + 80*s**2/9 - 8*s.
2*s*(s - 9)*(s - 2)**2/9
Determine q so that q**4 - 95*q**3/3 + 151*q**2/3 - 29*q/3 - 10 = 0.
-1/3, 1, 30
Factor 4*r**4 - 16*r**3 + 12*r**2.
4*r**2*(r - 3)*(r - 1)
Let -2*z**2/7 + 200*z/7 - 5000/7 = 0. Calculate z.
50
Solve -2*z**5/3 + 14*z**4/3 - 12*z**3 + 40*z**2/3 - 16*z/3 = 0.
0, 1, 2
Factor 15*s**4 - 365*s**3 + 2280*s**2 - 720*s.
5*s*(s - 12)**2*(3*s - 1)
Factor 2*c**2/17 - 1180*c/17.
2*c*(c - 590)/17
F