*2 - 2214*f + 4212 = 0.
6, 39
Suppose r**4/6 - r**3 + 2*r**2/3 + 4*r - 16/3 = 0. Calculate r.
-2, 2, 4
Suppose -3*o**4 - 11*o**3/3 + 16*o**2/3 + 4*o/3 = 0. Calculate o.
-2, -2/9, 0, 1
Factor 19*h**3/4 + 243*h**2/4 - 13*h.
h*(h + 13)*(19*h - 4)/4
Let -f**4/4 - 13*f**3/4 - 55*f**2/4 - 75*f/4 = 0. Calculate f.
-5, -3, 0
Factor -38*p**4/5 - 79*p**3/5 - 44*p**2/5 - 3*p/5.
-p*(p + 1)**2*(38*p + 3)/5
Find j such that -3*j**3/2 - 3*j**2 + 45*j/2 = 0.
-5, 0, 3
Factor -2*a**3/3 + 154*a**2/3 - 148*a.
-2*a*(a - 74)*(a - 3)/3
Factor 12*f**3 - 1656*f**2 - 1665*f - 417.
3*(f - 139)*(2*f + 1)**2
Factor 4*b**5/5 - 16*b**3/5 - 8*b**2/5 + 12*b/5 + 8/5.
4*(b - 2)*(b - 1)*(b + 1)**3/5
Find p such that -207646*p**3/7 + 39762*p**2/7 - 2538*p/7 + 54/7 = 0.
3/47
Find c such that -c**4/10 + 11*c**3/5 - 33*c**2/2 + 232*c/5 - 32 = 0.
1, 5, 8
Let 3*g**2/5 + 132*g/5 + 129/5 = 0. Calculate g.
-43, -1
Factor -3*p**5/8 - 21*p**4/8 - 6*p**3 - 9*p**2/2.
-3*p**2*(p + 2)**2*(p + 3)/8
Factor 2*s**3 - 126*s**2 + 364*s - 240.
2*(s - 60)*(s - 2)*(s - 1)
Factor 48*t**5 - 72*t**4 - 141*t**3 + 126*t**2 + 147*t.
3*t*(t + 1)**2*(4*t - 7)**2
What is y in -6*y**5/7 - 10*y**4/7 + 14*y**3 - 22*y**2/7 - 60*y/7 = 0?
-5, -2/3, 0, 1, 3
Solve -4*v**3/3 - 22*v**2/9 + 2*v/3 + 4/9 = 0.
-2, -1/3, 1/2
Factor 2*t**4 + 262*t**3 + 2250*t**2 + 6642*t + 6588.
2*(t + 3)**3*(t + 122)
Factor 2*s**3 + 53*s**2 + 73*s - 50.
(s + 2)*(s + 25)*(2*s - 1)
Factor -3*u**2/5 - 39*u/5 - 36/5.
-3*(u + 1)*(u + 12)/5
Factor a**3/8 + 93*a**2/4 + 91*a.
a*(a + 4)*(a + 182)/8
Let -n**3/9 + 19*n**2/9 + 4*n/9 - 76/9 = 0. What is n?
-2, 2, 19
Factor 2*c**2/19 + 1160*c/19 + 168200/19.
2*(c + 290)**2/19
Solve -15*y**4/4 - 51*y**3/2 + 159*y**2 - 309*y/2 + 99/4 = 0.
-11, 1/5, 1, 3
What is n in -3*n**2/7 + 1749*n/7 + 1752/7 = 0?
-1, 584
Suppose 3*l**5 + 9*l**4 + 3*l**3 - 9*l**2 - 6*l = 0. Calculate l.
-2, -1, 0, 1
Suppose -9*z**3/4 + 5*z**2 + 17*z - 4 = 0. Calculate z.
-2, 2/9, 4
Factor -9*x**5 + 8634*x**4 - 2079337*x**3 + 4132808*x**2 - 2062096*x.
-x*(x - 1)**2*(3*x - 1436)**2
Factor v**4/4 - 13*v**3/4 + 57*v**2/4 - 99*v/4 + 27/2.
(v - 6)*(v - 3)**2*(v - 1)/4
Factor 4805*c**3 + 6200*c**2 + 2000*c.
5*c*(31*c + 20)**2
Solve -6*t**5/11 - 4*t**4/11 + 710*t**3/11 - 700*t**2/11 = 0.
-35/3, 0, 1, 10
Factor 2*k**2/19 + 2*k + 156/19.
2*(k + 6)*(k + 13)/19
Find n, given that 2*n**2 + 324*n + 13122 = 0.
-81
Let -2*n**2/3 + 20*n - 250/3 = 0. Calculate n.
5, 25
What is w in -5*w**4 - 5*w**3 + 35*w**2 + 5*w - 30 = 0?
-3, -1, 1, 2
Find l, given that 9*l**4/4 - 465*l**3/2 - 2523*l**2/4 - 555*l - 159 = 0.
-1, -2/3, 106
Factor 3*p**3/4 - 1143*p**2 - 3*p/4 + 1143.
3*(p - 1524)*(p - 1)*(p + 1)/4
What is m in -4*m**4 - 24*m**3 - 48*m**2 - 32*m = 0?
-2, 0
Suppose 2*v**3 - 30*v**2 + 126*v - 98 = 0. Calculate v.
1, 7
Factor 3*c**2/2 - 6999*c + 16328667/2.
3*(c - 2333)**2/2
Let h**2/4 - 5*h/4 + 1 = 0. Calculate h.
1, 4
Solve t**5/5 + 47*t**4/5 + 574*t**3/5 + 482*t**2/5 - 115*t - 529/5 = 0.
-23, -1, 1
Factor -2*g**2/9 + 82*g/9 + 784/9.
-2*(g - 49)*(g + 8)/9
Factor 2*r**2 + 8*r.
2*r*(r + 4)
Factor 9*r**2 + 84*r - 60.
3*(r + 10)*(3*r - 2)
Let 2*m**3/3 + 14*m**2 + 94*m/3 - 238 = 0. Calculate m.
-17, -7, 3
Determine q, given that -8*q**3/3 - 1210*q**2/3 - 1502*q/3 - 100 = 0.
-150, -1, -1/4
What is y in 4*y**4 - 700*y**3 - 2860*y**2 - 740*y + 4296 = 0?
-3, -2, 1, 179
Factor -n**4/5 + 32*n**3/5 + 67*n**2/5 + 34*n/5.
-n*(n - 34)*(n + 1)**2/5
Factor -o**2/6 + 913*o/3 - 833569/6.
-(o - 913)**2/6
Factor w**2/6 + 19*w/6.
w*(w + 19)/6
Factor -2*l**2/7 - 102*l/7 - 100/7.
-2*(l + 1)*(l + 50)/7
Determine z, given that -2*z**2/19 - 138*z/19 + 56 = 0.
-76, 7
Suppose j**2/2 + 15*j + 225/2 = 0. What is j?
-15
Solve 1156*a**4 - 816*a**3 - 4480*a**2 + 3264*a - 576 = 0 for a.
-2, 6/17, 2
Suppose -22*c**3 - 288*c**2 - 26*c = 0. Calculate c.
-13, -1/11, 0
Factor r**5/5 - r**4/5 - r**3 + r**2/5 + 8*r/5 + 4/5.
(r - 2)**2*(r + 1)**3/5
Factor 5*u**3 - 40*u**2 + 95*u - 60.
5*(u - 4)*(u - 3)*(u - 1)
Factor -39*x**3 + 504*x**2 - 429*x - 36.
-3*(x - 12)*(x - 1)*(13*x + 1)
Find d, given that 18*d**5 - 9996*d**4 - 6670*d**3 - 1112*d**2 = 0.
-1/3, 0, 556
Factor -4*m**3/3 + 40*m**2/3.
-4*m**2*(m - 10)/3
What is x in -6*x**5/7 + 54*x**4/7 - 12*x**3 = 0?
0, 2, 7
Solve -w**4/2 + w**3 + 21*w**2/2 - 31*w + 20 = 0 for w.
-5, 1, 2, 4
Find i, given that -10*i**5/3 + 34*i**4/3 + 356*i**3 - 2632*i**2/3 + 880*i/3 = 0.
-10, 0, 2/5, 2, 11
Find b, given that 75*b**3/7 - 144*b**2/7 + 9*b + 6/7 = 0.
-2/25, 1
Determine r so that 4*r**2 + 4*r - 48 = 0.
-4, 3
Factor -2*a**3/19 + 2*a**2 - 166*a/19 + 130/19.
-2*(a - 13)*(a - 5)*(a - 1)/19
Determine d, given that 6*d**4 - 4*d**3 - 22*d**2 + 20*d = 0.
-2, 0, 1, 5/3
Solve -6*f**4 - 33*f**3 + 108*f**2 - 93*f + 24 = 0.
-8, 1/2, 1
Factor -21*n**3 - 132*n**2 - 141*n - 30.
-3*(n + 1)*(n + 5)*(7*n + 2)
Factor 4*r**4 + 4*r**3 - 28*r**2 - 52*r - 24.
4*(r - 3)*(r + 1)**2*(r + 2)
Determine g so that -4*g**3 + 664*g**2 - 26880*g - 56448 = 0.
-2, 84
Suppose 1029*t**4 + 11564*t**3 + 41958*t**2 + 43740*t - 19683 = 0. Calculate t.
-27/7, 1/3
Factor u**3/2 - 382*u**2 - 1531*u/2 - 383.
(u - 766)*(u + 1)**2/2
Factor -m**3 - 19*m**2 + 22*m + 40.
-(m - 2)*(m + 1)*(m + 20)
Factor a**4/2 + 285*a**3 + 81225*a**2/2.
a**2*(a + 285)**2/2
Let -l**4/2 + 75*l**3/2 + 38*l**2 = 0. What is l?
-1, 0, 76
Factor g**4/2 + 4075*g**3/2 + 2037*g**2.
g**2*(g + 1)*(g + 4074)/2
Determine a, given that 2*a**3/5 + 2*a**2/5 - 52*a/5 + 48/5 = 0.
-6, 1, 4
Factor -w**4/2 + 27*w**3/4 - 57*w**2/2 + 49*w - 30.
-(w - 2)**3*(2*w - 15)/4
What is l in 4*l**4/3 - 263*l**3/3 - 202*l**2 - 407*l/3 - 68/3 = 0?
-1, -1/4, 68
Factor 2*p**2/9 + 1868*p/9 + 1862/3.
2*(p + 3)*(p + 931)/9
Factor -8*u**2 + 22878*u + 5720.
-2*(u - 2860)*(4*u + 1)
Find k, given that -k**4/8 - k**3/4 + 9*k**2/2 - 11*k + 8 = 0.
-8, 2
Factor -i**2/3 + 40*i/3 - 364/3.
-(i - 26)*(i - 14)/3
Factor 4*l**2 + 11100*l.
4*l*(l + 2775)
Factor -27*d**3 + 24*d**2 + 57*d + 6.
-3*(d - 2)*(d + 1)*(9*d + 1)
Factor 2*h**2/19 - 386*h/19 - 780/19.
2*(h - 195)*(h + 2)/19
Factor -10*y**3 + 156*y**2 - 576*y - 256.
-2*(y - 8)**2*(5*y + 2)
Find u such that -2*u**3 - 358*u**2 - 1748*u - 1392 = 0.
-174, -4, -1
Find y such that -4*y**5 - 12*y**4 + 8*y**3 + 48*y**2 + 32*y = 0.
-2, -1, 0, 2
Factor -d**2/3 - 26*d/3 - 40.
-(d + 6)*(d + 20)/3
What is f in -2*f**2/11 + 4584*f/11 - 2626632/11 = 0?
1146
Factor -3*l**3 + 72*l**2 + 795*l - 864.
-3*(l - 32)*(l - 1)*(l + 9)
Solve -3*x**4/8 + 15*x**3/8 + 3*x**2/8 - 15*x/8 = 0.
-1, 0, 1, 5
Let -2*h**4 - 54*h**3 + 124*h**2 + 216*h - 464 = 0. What is h?
-29, -2, 2
Solve x**2/2 + 1172*x = 0.
-2344, 0
Suppose 266*y**5/11 - 162*y**4/11 - 362*y**3/11 + 14*y**2 + 96*y/11 + 8/11 = 0. What is y?
-1, -2/7, -2/19, 1
Factor 2*b**3/9 + 134*b**2/9 + 2950*b/9 + 21250/9.
2*(b + 17)*(b + 25)**2/9
Solve -5*n**4 + 125*n**3 - 445*n**2 + 535*n - 210 = 0 for n.
1, 2, 21
Let m**3/6 - 13*m**2/6 - 35*m/2 - 57/2 = 0. Calculate m.
-3, 19
Let 5*c**4 + 23020*c**3 + 26472990*c**2 - 53015060*c + 26519045 = 0. Calculate c.
-2303, 1
Factor -23*n**2 - 45*n + 2.
-(n + 2)*(23*n - 1)
Solve 3*r**3 - 5550*r**2 + 2561316*r + 5144856 = 0 for r.
-2, 926
What is d in d**2 - 13*d + 22 = 0?
2, 11
Determine j so that 5*j**2 - 28570*j + 40812245 = 0.
2857
Find x such that -2*x**4/5 + 22*x**3/5 + 2*x**2/5 - 22*x/5 = 0.
-1, 0, 1, 11
What is u in -3*u**5 + 42*u**4 = 0?
0, 14
Let 13*y**3/10 - 231*y**2/2 + 1042*y/5 + 174/5 = 0. Calculate y.
-2/13, 2, 87
Suppose f**2/3 - 52*f - 157/3 = 0. What is f?
-1, 157
What is c in 95*c**4 + 110*c**3 - 460*c**2 + 210*c + 45 = 0?
-3, -3/19, 1
Determine z, given that z**4/5 - 7*z**3 + 288*z**2/5 + 324*z/5 = 0.
-1, 0, 18
Solve 5*w**5 - 15*w**4 - 70*w**3 + 60*w**2 + 200*w = 0.
-2, 0, 2, 5
Factor u**3 + 32*u**2 - u - 32.
(u - 1)*(u + 1)*(u + 32)
Factor 2*g**2 + 68*g - 144.
2*(g - 2)*(g + 36)
Suppose -2*x**2/11 - 20*x/11 + 48 = 0. What is x?
-22, 12
Suppose -5*g**2/3 + 3710*g/3 - 688205/3 = 0. What is g?
371
Factor 4*k**3 + 180*k**2 + 2112*k + 1936.
4*(k + 1)*(k + 22)**2
Let 4*v**3 + 128*v**2 + 1076*v + 1672 = 0. Calculate v.
-19, -11, -2
Factor -4*k**4 - 8*k**3 + 188*k**2 - 528*k + 432.
-4*(k - 3)*(k - 2)**2*(k + 9)
Suppose 3*p**2 - 135*p + 1350 = 0. Calculate p.
15, 30
Factor -n**3/3 - 8*n**2/3 - 5*n/3 + 50/3.
-(n - 2)*(n + 5)**2/3
Determine w so that 3*w**2/7 