12*s.
-2*s*(s - 2)*(s + 3)**3/9
Solve 2*c**2 + 76*c + 144 = 0.
-36, -2
Factor -t**2/2 + 2*t - 3/2.
-(t - 3)*(t - 1)/2
Factor 5*z**2 - 4230*z + 894645.
5*(z - 423)**2
Factor 2*j**2 - 122*j - 804.
2*(j - 67)*(j + 6)
Factor 4*h**5 + 96*h**4 - 100*h**3.
4*h**3*(h - 1)*(h + 25)
Solve 3*u**2 - 66*u + 63 = 0.
1, 21
Solve -3*n**3 + 126*n**2 - 1620*n + 5832 = 0 for n.
6, 18
Find g such that -4*g**5/9 - 20*g**4/9 - 8*g**3/3 + 16*g**2/9 + 32*g/9 = 0.
-2, 0, 1
Factor t**3/2 + 7*t**2/6 + t/3.
t*(t + 2)*(3*t + 1)/6
Find h such that 18*h**5/13 - 184*h**4/13 - 14*h**3/13 + 588*h**2/13 - 488*h/13 + 80/13 = 0.
-2, 2/9, 1, 10
Let i**5/5 + 11*i**4/5 + 9*i**3/5 - 11*i**2/5 - 2*i = 0. Calculate i.
-10, -1, 0, 1
Find v, given that -3*v**3/2 + 495*v**2/2 - 489*v = 0.
0, 2, 163
Factor 2*h**2/9 - 140*h/9 + 46/3.
2*(h - 69)*(h - 1)/9
Suppose p**2/4 + 559*p + 312481 = 0. What is p?
-1118
Solve -3*y**2 - 24*y + 27 = 0 for y.
-9, 1
Factor -4*w**3 + 64*w**2 - 80*w - 448.
-4*(w - 14)*(w - 4)*(w + 2)
What is p in -264*p**3 + 164*p**2 + 8*p = 0?
-1/22, 0, 2/3
Factor -2*y**4 + 42*y**3 + 380*y**2 + 336*y.
-2*y*(y - 28)*(y + 1)*(y + 6)
Determine i, given that -2*i**4/13 - 34*i**3/13 = 0.
-17, 0
Suppose -1134*k**3/11 + 296*k**2/11 + 8*k/11 = 0. What is k?
-2/81, 0, 2/7
Find k, given that 2*k**2/3 - 12*k + 54 = 0.
9
Factor f**3/4 - 93*f**2/4 + 531*f/4 - 783/4.
(f - 87)*(f - 3)**2/4
Factor -c**4/6 + 5*c**3/6 + 13*c**2/6 + 7*c/6.
-c*(c - 7)*(c + 1)**2/6
Solve -5*f**5 + 5*f**4 + 180*f**3 - 20*f**2 - 1120*f + 960 = 0 for f.
-4, 1, 2, 6
Factor r**2/7 + 22*r/7 + 57/7.
(r + 3)*(r + 19)/7
Factor 5*f**3 + 555*f**2 + 1600*f - 2160.
5*(f - 1)*(f + 4)*(f + 108)
Let 5*k**2 + 1070*k + 57245 = 0. Calculate k.
-107
Factor j**4/2 + 7*j**3/2 + 9*j**2 + 10*j + 4.
(j + 1)*(j + 2)**3/2
Factor -9*m**3/2 - 2*m**2 + 23*m/2 - 5.
-(m - 1)*(m + 2)*(9*m - 5)/2
Factor m**2/2 + 15*m/2 + 7.
(m + 1)*(m + 14)/2
Suppose -2*u**3 + 118*u**2 + 628*u + 768 = 0. What is u?
-3, -2, 64
Factor -4*p**2 - 1400*p - 122500.
-4*(p + 175)**2
Find t, given that 2*t**5/15 - 4*t**4/15 - 14*t**3/15 - 8*t**2/15 = 0.
-1, 0, 4
Factor -3*i**4 - 52*i**3/3 - 20*i**2 + 16*i/3.
-i*(i + 2)*(i + 4)*(9*i - 2)/3
Factor -5*f**2 + 345*f + 710.
-5*(f - 71)*(f + 2)
Find j such that 4*j**2 + 36*j = 0.
-9, 0
Suppose 4*m**5 + 32*m**4 - 16*m**3 - 344*m**2 - 180*m + 504 = 0. Calculate m.
-7, -3, -2, 1, 3
Suppose 3*m**3 + 1161*m**2 + 149769*m + 6440067 = 0. Calculate m.
-129
Factor -m**4/6 - 18*m**3 - 2915*m**2/6 + 18*m + 486.
-(m - 1)*(m + 1)*(m + 54)**2/6
Find m, given that 2*m**5/3 - 20*m**4/3 + 16*m**3 - 44*m**2/3 + 14*m/3 = 0.
0, 1, 7
Find a, given that -4*a**2 + 24*a - 20 = 0.
1, 5
Factor -5*q**4 - 15*q**3 + 825*q**2 + 6895*q + 14700.
-5*(q - 15)*(q + 4)*(q + 7)**2
Let 3*z**5 + 24*z**4 + 42*z**3 - 24*z**2 - 45*z = 0. Calculate z.
-5, -3, -1, 0, 1
What is m in 3*m**2/8 - 3063*m/8 + 3057/4 = 0?
2, 1019
What is p in 3*p**5/4 = 0?
0
Determine h so that 2*h**5 - 30*h**4 - 70*h**3 + 30*h**2 + 68*h = 0.
-2, -1, 0, 1, 17
Find k, given that 2*k**3/9 + 106*k**2/3 + 5618*k/3 + 297754/9 = 0.
-53
Let 2*j**3/7 - 2*j**2/7 - 4*j/7 = 0. What is j?
-1, 0, 2
Factor -a**3 - 17*a**2.
-a**2*(a + 17)
What is i in 3*i**5 - 369*i**4 = 0?
0, 123
Find c such that -10*c**5/9 + 32*c**4/9 - 14*c**3/9 - 32*c**2/9 + 8*c/3 = 0.
-1, 0, 1, 6/5, 2
Find b, given that 3*b**4 - 8*b**3 - 25*b**2 + 42*b + 72 = 0.
-2, -4/3, 3
Factor i**4 + 5*i**3/2 + i**2/2 - i.
i*(i + 1)*(i + 2)*(2*i - 1)/2
Factor -2*j**2/7 - 656*j/7 - 53792/7.
-2*(j + 164)**2/7
Let -3*i**3 + 126*i**2 - 351*i = 0. Calculate i.
0, 3, 39
Find j such that 9*j**4/4 + 213*j**3/8 + 129*j**2/4 + 63*j/8 = 0.
-21/2, -1, -1/3, 0
Find h, given that 9*h**5/2 + 15*h**4/2 - 21*h**3 - 3*h**2 + 33*h/2 - 9/2 = 0.
-3, -1, 1/3, 1
Find y such that 2*y**4/19 - 32*y**3/19 + 26*y**2/19 + 60*y/19 = 0.
-1, 0, 2, 15
Solve x**4/5 + 18*x**3/5 - 563*x**2/5 - 5796*x/5 + 103684/5 = 0.
-23, 14
Factor 2*x**5/9 + 266*x**4/9 - 538*x**3/9 + 30*x**2.
2*x**2*(x - 1)**2*(x + 135)/9
Suppose -4*c**2 - 1688*c - 178084 = 0. Calculate c.
-211
Determine z so that 2*z**2 + 22*z - 204 = 0.
-17, 6
What is d in -d**4 + 3*d**3 + 27*d**2 - 59*d + 30 = 0?
-5, 1, 6
Solve 3*j**3 + 5805*j**2 + 3744225*j + 805008375 = 0.
-645
Factor 2*z**2/3 - 136*z/3 + 2312/3.
2*(z - 34)**2/3
Factor -2*o**4 + 30*o**3 + 992*o**2.
-2*o**2*(o - 31)*(o + 16)
Suppose v**5/5 + 7*v**4/5 + 14*v**3/5 + 2*v**2/5 - 3*v - 9/5 = 0. What is v?
-3, -1, 1
Find s such that -3*s**3 + 465*s**2 + 939*s + 471 = 0.
-1, 157
Factor 4*f**2 - 1844*f - 1848.
4*(f - 462)*(f + 1)
Factor -z**2 - 265*z - 786.
-(z + 3)*(z + 262)
Solve -3*x**2 + 16788*x - 23486412 = 0.
2798
Factor -n**2/3 - 10*n/3 + 77.
-(n - 11)*(n + 21)/3
Factor x**5 + 9*x**4 + 23*x**3 + 15*x**2.
x**2*(x + 1)*(x + 3)*(x + 5)
Determine d, given that d**4/4 - 65*d**3/4 + 63*d**2/4 + 65*d/4 - 16 = 0.
-1, 1, 64
Factor o**2/5 - 14*o/5 + 13/5.
(o - 13)*(o - 1)/5
Factor 5*q**5 - 35*q**4 + 90*q**3 - 100*q**2 + 40*q.
5*q*(q - 2)**3*(q - 1)
Let c**2/2 - 120*c + 711/2 = 0. What is c?
3, 237
Find z, given that -405*z**5/2 + 315*z**4 + 4220*z**3 + 6680*z**2 + 2360*z + 240 = 0.
-2, -2/9, 6
Factor -2*d**4 - 8*d**3 + 54*d**2 - 76*d + 32.
-2*(d - 2)*(d - 1)**2*(d + 8)
Factor -3*b**4/8 - 3*b**3/2 + 3*b**2/8 + 3*b/2.
-3*b*(b - 1)*(b + 1)*(b + 4)/8
Determine t so that 2*t**2/3 + 8*t/3 = 0.
-4, 0
Solve 4*n**2/5 + 152*n/5 + 1444/5 = 0.
-19
Factor f**5 + 10*f**4 + 23*f**3 + 14*f**2.
f**2*(f + 1)*(f + 2)*(f + 7)
What is l in -3*l**5/7 + 6*l**4/7 + 15*l**3/7 - 18*l**2/7 = 0?
-2, 0, 1, 3
Factor -2*c**4/7 - 6*c**3/7 + 12*c**2/7 + 8*c + 48/7.
-2*(c - 3)*(c + 2)**3/7
Solve -2*b**2/5 + 198*b/5 - 196/5 = 0.
1, 98
Determine h so that -2*h**3/3 + 16*h**2 - 104*h + 448/3 = 0.
2, 8, 14
Let -2420*w**4 + 18865*w**3 + 25835*w**2 + 3920*w - 2880 = 0. Calculate w.
-8/11, 1/4, 9
What is r in r**3/3 - 4*r**2 + 13*r - 28/3 = 0?
1, 4, 7
Let 3*s**5 + 159*s**4 - 3*s**3 - 159*s**2 = 0. What is s?
-53, -1, 0, 1
Let 4*r**4/3 + 112*r**3/9 + 44*r**2/3 + 32*r/9 = 0. What is r?
-8, -1, -1/3, 0
Factor 4*g**2 + 136*g + 480.
4*(g + 4)*(g + 30)
Let p**3/2 + 7*p**2 + 12*p = 0. What is p?
-12, -2, 0
Factor 3*h**4 + 18*h**3 - 105*h**2 + 144*h - 60.
3*(h - 2)*(h - 1)**2*(h + 10)
Find a, given that -2*a**2 + 1138*a + 1140 = 0.
-1, 570
What is y in -y**5/4 + 7*y**4/2 - 17*y**3/4 - 26*y**2 + 63*y - 36 = 0?
-3, 1, 2, 12
Find o, given that -3*o**4 - 22*o**3 + 44*o**2 - 10*o - 9 = 0.
-9, -1/3, 1
Suppose -3*u**3/4 - 21*u**2/4 - 21*u/2 - 6 = 0. What is u?
-4, -2, -1
Find w, given that -4*w**2/7 + 188*w - 1312/7 = 0.
1, 328
Let 2*s**3/9 + 1262*s**2/3 + 796322*s/3 + 502479182/9 = 0. Calculate s.
-631
Factor 2*i**3 + 802*i**2 - 3234*i + 2430.
2*(i - 3)*(i - 1)*(i + 405)
Determine a so that -5*a**5/6 - 7*a**4/2 - 19*a**3/6 - a**2/2 = 0.
-3, -1, -1/5, 0
Determine q so that q**4/4 - 5*q**3/4 + 3*q**2/2 = 0.
0, 2, 3
Suppose 2*f**3 + 24*f**2 + 40*f = 0. What is f?
-10, -2, 0
Suppose -2*o**3/5 + 38*o**2/5 - 126*o/5 + 18 = 0. Calculate o.
1, 3, 15
Factor 2*b**4 + 98*b**3 + 1146*b**2 - 1450*b - 2500.
2*(b - 2)*(b + 1)*(b + 25)**2
Factor 4*s**4 + 39*s**3 - 10*s**2.
s**2*(s + 10)*(4*s - 1)
Solve -3*t**4/8 - 27*t**3/8 + 111*t**2/8 + 27*t/8 - 27/2 = 0.
-12, -1, 1, 3
Factor 2*h**4/5 - 10*h**3 - 348*h**2/5 - 728*h/5 - 496/5.
2*(h - 31)*(h + 2)**3/5
Factor -3*d**2/7 - 81*d/7 + 1560/7.
-3*(d - 13)*(d + 40)/7
Factor -y**5/2 - 57*y**4.
-y**4*(y + 114)/2
Suppose 3*y**3/5 + 12*y**2/5 - 267*y/5 + 252/5 = 0. Calculate y.
-12, 1, 7
Find j such that -6*j**3/5 - 139*j**2/5 + 277*j/5 + 10 = 0.
-25, -1/6, 2
Solve y**2/6 - 326*y/3 + 53138/3 = 0.
326
Determine t, given that 27*t**3/5 - 774*t**2/5 - 1068*t/5 - 72 = 0.
-2/3, 30
Find z such that 3*z**3/7 + 30*z**2/7 - 48*z/7 - 480/7 = 0.
-10, -4, 4
Factor -q**5/7 - 6*q**4/7 - 12*q**3/7 - 10*q**2/7 - 3*q/7.
-q*(q + 1)**3*(q + 3)/7
Factor 4*o**4 - 60*o**3 + 224*o**2.
4*o**2*(o - 8)*(o - 7)
Let -2*q**4/15 - 8*q**3/5 + 28*q**2/15 + 8*q/5 - 26/15 = 0. Calculate q.
-13, -1, 1
Solve -t**4/6 - 11*t**3/6 - 19*t**2/3 - 26*t/3 - 4 = 0.
-6, -2, -1
Factor -b**4 - 4*b**3 + 3*b**2 + 10*b - 8.
-(b - 1)**2*(b + 2)*(b + 4)
Factor 2*m**3 + 84*m**2 + 790*m - 1932.
2*(m - 2)*(m + 21)*(m + 23)
Factor -3*v**2/4 + 2361*v/4 + 2367/2.
-3*(v - 789)*(v + 2)/4
What is s in 2*s**4/11 + 48*s**3/11 - 62*s**2/11 - 300*s/11 = 0?
-25, -2