3 + 34*p**2/3 + 4*p.
2*p*(p + 2)*(7*p + 3)/3
Factor -3*d**3 - 6138*d**2 - 4186116*d - 951643704.
-3*(d + 682)**3
Determine p, given that 3*p**5 + 15*p**4 - 3*p**3 - 15*p**2 = 0.
-5, -1, 0, 1
Determine l so that -5*l**3 + 8385*l**2 - 4687215*l + 873384395 = 0.
559
What is c in -7*c**4/6 - 3*c**3 + 8*c**2/3 + 3*c - 3/2 = 0?
-3, -1, 3/7, 1
Factor 2*c**2/9.
2*c**2/9
What is p in -5*p**2 + 27390*p - 37510605 = 0?
2739
Find u, given that 3*u**5/4 + 12*u**4 + 279*u**3/4 + 345*u**2/2 + 150*u = 0.
-5, -4, -2, 0
Factor -x**2/5 + 62*x/5 - 61/5.
-(x - 61)*(x - 1)/5
Factor -5*q**2 - 3120*q - 6220.
-5*(q + 2)*(q + 622)
Factor -n**3 + 204*n**2.
-n**2*(n - 204)
Factor 2*p**5 + 4*p**4 - 4*p**2 - 2*p.
2*p*(p - 1)*(p + 1)**3
Let 3*c**3/8 + 33*c**2/8 - 21*c + 45/2 = 0. Calculate c.
-15, 2
Find w such that 3*w**3/4 - 69*w**2/4 + 273*w/4 + 1521/4 = 0.
-3, 13
Factor 2*g**2/5 - 46*g - 240.
2*(g - 120)*(g + 5)/5
Factor 5*m**2 + 105*m + 190.
5*(m + 2)*(m + 19)
Factor 3*b**4/8 - 3*b**3/4 - 57*b**2/8 - 21*b/2 - 9/2.
3*(b - 6)*(b + 1)**2*(b + 2)/8
Find n, given that -n**5/7 + 3*n**4/7 + 33*n**3/7 - 107*n**2/7 + 108*n/7 - 36/7 = 0.
-6, 1, 6
Determine m so that -3*m**5 + 23*m**4 + 7*m**3 - 179*m**2 + 236*m - 84 = 0.
-3, 2/3, 1, 2, 7
Determine a, given that 18*a**4/11 + 30*a**3/11 - 40*a**2/11 - 40*a/11 + 32/11 = 0.
-2, -4/3, 2/3, 1
What is j in 34*j**3 - 202*j**2/3 + 98*j/3 + 2/3 = 0?
-1/51, 1
Factor -o**2/6 - 169*o/6 - 167/3.
-(o + 2)*(o + 167)/6
Factor -4*u**3 + 140*u**2 - 1272*u + 2016.
-4*(u - 21)*(u - 12)*(u - 2)
Solve u**5/4 + 21*u**4/2 + 155*u**3/4 + 55*u**2/2 - 39*u - 38 = 0.
-38, -2, -1, 1
Factor r**3/4 - 9*r**2/4 + 13*r/2 - 6.
(r - 4)*(r - 3)*(r - 2)/4
Factor 7*a**2/5 - 134*a/5 + 19/5.
(a - 19)*(7*a - 1)/5
Find q, given that 4*q**4 - 24*q**3 + 20*q**2 = 0.
0, 1, 5
Factor -3*y**4 - 18*y**3 + 3*y**2 + 18*y.
-3*y*(y - 1)*(y + 1)*(y + 6)
Factor 100*c**5 + 280*c**4 + 276*c**3 + 112*c**2 + 16*c.
4*c*(c + 1)**2*(5*c + 2)**2
Factor p**5 + 807*p**4 + 805*p**3 - 807*p**2 - 806*p.
p*(p - 1)*(p + 1)**2*(p + 806)
Factor 2*v**3 + 336*v**2 - 678*v + 340.
2*(v - 1)**2*(v + 170)
Factor 4*f**2/5 - 16*f/5 + 16/5.
4*(f - 2)**2/5
Find a, given that -5*a**3/6 + 485*a**2/3 - 23030*a/3 - 48020/3 = 0.
-2, 98
Let -45*j**5 - 150*j**4 - 65*j**3 + 100*j**2 - 20*j = 0. What is j?
-2, 0, 1/3
Solve -3*n**4/7 - 60*n**3/7 = 0 for n.
-20, 0
Factor -2*n**2/7 + 52*n/7 - 96/7.
-2*(n - 24)*(n - 2)/7
Determine d, given that 15*d**4 + 3935*d**3 - 6620*d**2 - 5260*d + 5280 = 0.
-264, -1, 2/3, 2
Factor 54*z**3 + 411*z**2 + 201*z - 210.
3*(z + 7)*(2*z - 1)*(9*z + 10)
What is b in -14*b**5/3 - 23*b**4/6 + 6*b**3 + 13*b**2/3 - 4*b/3 - 1/2 = 0?
-1, -1/4, 3/7, 1
Let 2*g**5/21 + 10*g**4/21 + 20*g**3/21 + 20*g**2/21 + 10*g/21 + 2/21 = 0. Calculate g.
-1
What is o in -2*o**3/5 + 10*o**2 - 64*o/5 - 3584/5 = 0?
-7, 16
Suppose -2*s**3/23 + 1642*s**2/23 - 1640*s/23 = 0. Calculate s.
0, 1, 820
Factor 21025*l**5 + 62495*l**4 + 61339*l**3 + 19297*l**2 - 568*l + 4.
(l + 1)**3*(145*l - 2)**2
Determine q so that -2*q**4/5 - 2*q**3 = 0.
-5, 0
Factor s**2/3 - 71*s/3 + 70/3.
(s - 70)*(s - 1)/3
Determine s, given that -3*s**2 - 66*s - 315 = 0.
-15, -7
What is v in -27*v**5/2 + 183*v**4/2 + 69*v**3/2 - 183*v**2/2 - 21*v = 0?
-1, -2/9, 0, 1, 7
Solve 4*w**5 - 24*w**3 + 32*w**2 - 12*w = 0.
-3, 0, 1
Factor -z**2 + 120*z - 791.
-(z - 113)*(z - 7)
Factor 32*w**3/3 - 784*w**2 - 394*w - 148/3.
2*(w - 74)*(4*w + 1)**2/3
Factor -x**4/2 - 5*x**3 - 13*x**2/2 + 30*x - 18.
-(x - 1)**2*(x + 6)**2/2
What is k in -k**2/8 - 67*k - 8978 = 0?
-268
Suppose -2*a**2/5 - 424*a/5 - 22472/5 = 0. Calculate a.
-106
Determine y so that -4*y**4 + 72*y**3 - 404*y**2 + 768*y - 432 = 0.
1, 2, 6, 9
What is y in 2*y**2/7 + 16*y - 114/7 = 0?
-57, 1
Find v, given that 4*v**3/7 + 5500*v**2/7 + 1893372*v/7 + 1887876/7 = 0.
-687, -1
Solve -g**3/3 + 24*g**2 + 73*g/3 = 0 for g.
-1, 0, 73
Let -9*v**3/4 + 163*v**2/4 - 9*v/2 = 0. Calculate v.
0, 1/9, 18
Suppose 98*v**5/17 + 2702*v**4/17 + 1520*v**3/17 + 216*v**2/17 = 0. What is v?
-27, -2/7, 0
Factor -d**3/2 + 3*d/2 + 1.
-(d - 2)*(d + 1)**2/2
Determine n, given that 3*n**2/7 - 114*n/7 - 240/7 = 0.
-2, 40
Suppose -3*r**4/5 - 21*r**3 - 981*r**2/5 - 1659*r/5 - 156 = 0. Calculate r.
-20, -13, -1
Factor -2*v**2/5 + 146*v/5 - 2052/5.
-2*(v - 54)*(v - 19)/5
Find o, given that -o**3/6 + 29*o**2/6 - 49*o/2 + 69/2 = 0.
3, 23
Let -3*s**4/2 + 9*s**2 + 12*s + 9/2 = 0. What is s?
-1, 3
Let 25*j**5 - 60*j**4 - 55*j**3 + 130*j**2 + 60*j - 40 = 0. What is j?
-1, 2/5, 2
Determine k so that -2*k**5 + 28*k**4 - 144*k**3 + 332*k**2 - 334*k + 120 = 0.
1, 3, 4, 5
Find d such that 4*d**2/3 + 572*d - 1720/3 = 0.
-430, 1
Factor 2*o**2/3 + 8*o/3 - 10/3.
2*(o - 1)*(o + 5)/3
Determine t, given that 2*t**3/5 - 752*t**2/5 - 302*t - 756/5 = 0.
-1, 378
Factor b**5 + 4*b**4 - 18*b**3 + 20*b**2 - 7*b.
b*(b - 1)**3*(b + 7)
Determine x so that -2*x**5 + 25*x**4 - 114*x**3 + 235*x**2 - 212*x + 60 = 0.
1/2, 2, 3, 5
Factor 5*t**2 - 1455*t.
5*t*(t - 291)
Let 2*i**2/3 + 64*i + 1536 = 0. What is i?
-48
Determine y, given that -33*y**2/5 - 3483*y/5 - 378 = 0.
-105, -6/11
Determine b so that -2*b**2/3 - 32*b/3 - 110/3 = 0.
-11, -5
What is m in 3*m**3 - 30*m**2 + 39*m + 72 = 0?
-1, 3, 8
Factor -4*j**2 + 216*j.
-4*j*(j - 54)
Factor 2*u**3/3 + 8*u**2/3 + 2*u.
2*u*(u + 1)*(u + 3)/3
Factor -2*q**2/5 - 22*q/5.
-2*q*(q + 11)/5
Determine u, given that -4*u**2/7 - 920*u/7 - 916/7 = 0.
-229, -1
Factor -r**5 + r**4 + 9*r**3 - 9*r**2.
-r**2*(r - 3)*(r - 1)*(r + 3)
Factor s**2 - 5460*s + 7452900.
(s - 2730)**2
Factor -2*c**2/13 - 140*c - 31850.
-2*(c + 455)**2/13
Let -4*y**3 + 2192*y**2 - 300304*y = 0. Calculate y.
0, 274
Suppose -2*i**2 - 880*i - 96800 = 0. What is i?
-220
Factor 30*r**4 - 325*r**3 + 995*r**2 - 575*r - 125.
5*(r - 5)**2*(r - 1)*(6*r + 1)
Factor -2*i**2 + 22*i - 36.
-2*(i - 9)*(i - 2)
Let 5*s**5 - 145*s**4 - 315*s**3 + 145*s**2 + 310*s = 0. What is s?
-2, -1, 0, 1, 31
Factor 2*u**2 + 926*u.
2*u*(u + 463)
Factor -2*s**4/5 + 6*s**3/5 + 4*s**2.
-2*s**2*(s - 5)*(s + 2)/5
Factor -2*d**3 - 5*d**2/3 + 61*d/3 - 20.
-(d + 4)*(2*d - 3)*(3*d - 5)/3
Factor 4*n**3/7 - 32*n**2/7 - 244*n/7 - 208/7.
4*(n - 13)*(n + 1)*(n + 4)/7
Solve -20*t**3 + 1615*t**2 + 405*t = 0.
-1/4, 0, 81
Find r such that -r**5/4 + 13*r**3/4 + 4*r**2 - 3*r - 4 = 0.
-2, -1, 1, 4
Find s, given that -8*s**5/11 - 80*s**4 + 4526*s**3/11 - 8450*s**2/11 + 6882*s/11 - 2070/11 = 0.
-115, 1, 3/2
Factor 2*j**3/11 - 42*j**2/11 + 12*j + 448/11.
2*(j - 16)*(j - 7)*(j + 2)/11
Find y such that 5*y**4 + 25*y**3 - 100*y - 80 = 0.
-4, -2, -1, 2
Factor 2*n**2 - 14200*n + 25205000.
2*(n - 3550)**2
Find r, given that -2*r**2 - 1338*r = 0.
-669, 0
Suppose x**5 - x**4 - 7*x**3 + x**2 + 6*x = 0. What is x?
-2, -1, 0, 1, 3
Determine l so that -3*l**5/7 - 36*l**4/7 - 156*l**3/7 - 288*l**2/7 - 192*l/7 = 0.
-4, -2, 0
Factor -g**3/4 - g**2 + 24*g.
-g*(g - 8)*(g + 12)/4
Solve -3*s**3 + 380*s**2 - 996*s + 496 = 0 for s.
2/3, 2, 124
Suppose -5*m**4 - 30*m**3 + 180*m**2 + 430*m + 225 = 0. What is m?
-9, -1, 5
Find r, given that -6*r**4 + 38*r**3 - 60*r**2 + 16*r = 0.
0, 1/3, 2, 4
Factor -5*d**2 - 64760*d - 209692880.
-5*(d + 6476)**2
Factor 4*i**4/9 - 440*i**3/3 + 48400*i**2/3 - 5324000*i/9.
4*i*(i - 110)**3/9
Let 2*f**3/5 + 916*f**2/5 - 1846*f/5 - 552 = 0. What is f?
-460, -1, 3
Let -9*y**3/7 - 51*y**2 - 900*y/7 - 444/7 = 0. What is y?
-37, -2, -2/3
Factor 2*l**4 - 200*l**3 + 5000*l**2.
2*l**2*(l - 50)**2
Find t such that -5*t**4 + 50*t**3 - 165*t**2 + 220*t - 100 = 0.
1, 2, 5
Factor 2*b**3/11 - 58*b**2/11 - 122*b/11 - 62/11.
2*(b - 31)*(b + 1)**2/11
Factor -3*v**2 + 48*v - 45.
-3*(v - 15)*(v - 1)
Find x such that -100*x**5 - 1085*x**4 + 4775*x**3 + 5020*x**2 - 1300*x - 560 = 0.
-14, -1, -1/4, 2/5, 4
What is k in -2*k**5/5 + 34*k**4/5 - 184*k**3/5 + 392*k**2/5 - 288*k/5 = 0?
0, 2, 4, 9
Find i, given that -4*i**3 - 76*i**2 + 864*i = 0.
-27, 0, 8
Solve 125*b**4 - 50650*b**3 + 5110545*b**2 + 4112780*b + 824180 = 0 for b.
-2/5, 203
Find d, given that 4*d**2 + 8*d = 0.
-2, 0
Suppose -2*a**3 + 140*a**2 - 2304*a - 5184 = 0. Calculate a.
-2, 36
Let -2*w**2/3 - 2*w + 72 = 0. What is w?
-12, 9
Find d, given that -d**4/5 + 71*d**3/5 + 3*d**2/5 - 211*d/5 - 142/5 = 0.
-1, 2, 71
Factor r**3/4 + 5*r**2 + 69*r/4 - 45/2.
(r - 1)*(r + 6)*(r + 15)/4
F