*3
Factor 4*y**2/5 - 156*y - 2376/5.
4*(y - 198)*(y + 3)/5
Let -42*m**4 + 9217*m**3 + 14401*m**2 - 7960*m + 884 = 0. What is m?
-2, 1/6, 2/7, 221
Factor 4*i**3 + 456*i**2 - 16*i - 1824.
4*(i - 2)*(i + 2)*(i + 114)
Factor 18*a**4 + 96*a**3 + 20*a**2 - 48*a + 10.
2*(a + 1)*(a + 5)*(3*a - 1)**2
Determine b, given that -2*b**4/11 + 148*b**3/11 + 14*b**2/11 - 1048*b/11 + 888/11 = 0.
-3, 1, 2, 74
Suppose t**2 + 4*t - 5 = 0. What is t?
-5, 1
Factor -2*i**3/13 - 294*i**2/13 - 14406*i/13 - 235298/13.
-2*(i + 49)**3/13
Find t, given that t**4 - 22*t**3 + 60*t**2 - 58*t + 19 = 0.
1, 19
Determine g, given that -4*g**4/5 - 104*g**3 + 548*g**2/5 + 3144*g/5 = 0.
-131, -2, 0, 3
Solve o**3 + 41*o**2 + 174*o - 216 = 0 for o.
-36, -6, 1
Factor 28*m**4 - 1976*m**3 - 4940*m**2 - 1752*m.
4*m*(m - 73)*(m + 2)*(7*m + 3)
Factor 2*s**3 - 26*s**2.
2*s**2*(s - 13)
Suppose 3*m**2 + 9*m - 12 = 0. What is m?
-4, 1
Determine i so that 4*i**5 + 216*i**4 + 760*i**3 - 2112*i**2 - 5660*i - 3000 = 0.
-50, -5, -1, 3
Solve 3*t**2 + 6*t - 144 = 0 for t.
-8, 6
Determine l so that -l**2/6 - 4*l/3 = 0.
-8, 0
Factor 4*b**2 + 3008*b + 565504.
4*(b + 376)**2
Factor -w**4/3 + 7*w**3/3 - 2*w**2.
-w**2*(w - 6)*(w - 1)/3
Factor 2*y**3/13 + 3920*y**2/13 + 1920800*y/13.
2*y*(y + 980)**2/13
Find s such that 4*s**3 + 216*s**2 - 444*s + 224 = 0.
-56, 1
Let -4*x**2 + 24*x + 108 = 0. What is x?
-3, 9
Find t, given that 2*t**4 - 5*t**3 + 33*t**2/8 - 9*t/8 = 0.
0, 3/4, 1
Factor -2*z**4 - 14*z**3 - 22*z**2 - 10*z.
-2*z*(z + 1)**2*(z + 5)
Factor -3*f**5/7 - 3*f**4 - 33*f**3/7 - 15*f**2/7.
-3*f**2*(f + 1)**2*(f + 5)/7
Find q, given that q**3/2 - q**2 + q/2 = 0.
0, 1
Factor -2*i**3 + 42*i**2.
-2*i**2*(i - 21)
Solve 54*s**5 + 26898*s**4/23 + 15886*s**3/23 - 27066*s**2/23 - 17128*s/23 + 168/23 = 0 for s.
-21, -1, -2/3, 2/207, 1
Suppose -v**2/3 - 38*v/3 - 35 = 0. Calculate v.
-35, -3
What is z in -16*z**5 - 164*z**4 - 104*z**3 + 656*z**2 - 264*z - 108 = 0?
-9, -3, -1/4, 1
Factor -4*m**3/5 + 4876*m**2/5 + 976*m.
-4*m*(m - 1220)*(m + 1)/5
Suppose 9*z**5/7 + 24*z**4/7 - 72*z**3/7 - 222*z**2/7 - 81*z/7 + 54/7 = 0. Calculate z.
-3, -2, -1, 1/3, 3
Factor -2*u**5/9 + 170*u**4/9 - 3860*u**3/9 + 10580*u**2/9 - 10250*u/9 + 3362/9.
-2*(u - 41)**2*(u - 1)**3/9
Factor -4*n**3 - 420*n**2 - 10368*n - 74752.
-4*(n + 16)**2*(n + 73)
Let -2*x**5/11 - 26*x**4/11 + 758*x**3/11 + 26*x**2/11 - 756*x/11 = 0. Calculate x.
-27, -1, 0, 1, 14
Factor -m**3 + 5*m**2 - 4*m.
-m*(m - 4)*(m - 1)
Suppose 3*n**4/7 - 69*n**3/7 + 129*n**2/7 - 9*n = 0. What is n?
0, 1, 21
Determine h so that -9*h**4 + 105*h**3 - 408*h**2 + 588*h - 240 = 0.
2/3, 2, 4, 5
Factor -2*q**4/5 + 352*q**3/5 + 142*q**2 + 356*q/5.
-2*q*(q - 178)*(q + 1)**2/5
Suppose -14*z**5/3 + 88*z**4/3 - 8*z**3 = 0. What is z?
0, 2/7, 6
Determine t so that -t**3/4 - 19*t**2/4 - 15*t = 0.
-15, -4, 0
Factor -2*w**4/7 + 12*w**3/7 - 24*w**2/7 + 16*w/7.
-2*w*(w - 2)**3/7
Determine f, given that -5*f**4 - 19540*f**3 - 19090580*f**2 = 0.
-1954, 0
Solve 196*d**5 - 1288*d**4 - 684*d**3 + 688*d**2 - 112*d = 0.
-1, 0, 2/7, 7
Factor c**2 - 1.
(c - 1)*(c + 1)
Factor -3*k**2 - 10*k + 8.
-(k + 4)*(3*k - 2)
Determine z so that 2*z**3/3 - 64*z**2 + 1050*z = 0.
0, 21, 75
Let o**2/9 - 86*o/9 + 1849/9 = 0. What is o?
43
Factor i**3/2 - 15*i**2/2.
i**2*(i - 15)/2
Find t such that -2*t**4/5 - 972*t**3/5 - 194*t**2 = 0.
-485, -1, 0
Let -2*x**3/13 - 100*x**2/13 = 0. What is x?
-50, 0
Let -3*z**3/5 + 1311*z**2/5 + 3972*z/5 - 1056 = 0. Calculate z.
-4, 1, 440
Solve -37*c**2 + 10*c = 0.
0, 10/37
Solve 11*d**3/3 - 178*d**2 + 2208*d - 1152 = 0.
6/11, 24
What is f in -2*f**4/5 + 10*f**3 + 224*f**2/5 + 232*f/5 = 0?
-2, 0, 29
Let -2*z**4 - 12726*z**3/5 - 4039858*z**2/5 + 1135134*z - 1623076/5 = 0. Calculate z.
-637, 2/5, 1
Factor -3*v**2/2 + 15*v/2 + 36.
-3*(v - 8)*(v + 3)/2
Determine q so that -9*q**4 + 24*q**3 + 1275*q**2 - 858*q = 0.
-11, 0, 2/3, 13
Suppose -a**4/2 + 129*a**3/2 + 663*a**2/2 + 935*a/2 + 201 = 0. What is a?
-3, -1, 134
Determine r so that -16*r**5/7 + 16*r**4/7 + 108*r**3/7 - 16*r**2/7 - 68*r/7 + 24/7 = 0.
-2, -1, 1/2, 3
Let q**5 - 31*q**4/5 - 294*q**3/5 - 124*q**2 - 344*q/5 + 96/5 = 0. Calculate q.
-2, 1/5, 12
Factor 8*d**3/11 + 34*d**2/11 + 32*d/11 + 6/11.
2*(d + 1)*(d + 3)*(4*d + 1)/11
Factor d**2/6 - 22*d/3 + 242/3.
(d - 22)**2/6
Factor o**5/2 - 11*o**4/2 + 7*o**3/2 + 35*o**2/2 - 26*o + 10.
(o - 10)*(o - 1)**3*(o + 2)/2
Determine j so that j**3 + 6*j**2 = 0.
-6, 0
Factor 91125*o**3 - 6075*o**2 + 135*o - 1.
(45*o - 1)**3
Let 16*v**5 + 148*v**4 + 276*v**3 - 340*v**2 - 100*v = 0. What is v?
-5, -1/4, 0, 1
Factor 5*p**3 - 365*p**2 + 2920*p - 2560.
5*(p - 64)*(p - 8)*(p - 1)
Factor -9*k**4 - 5673*k**3 - 1192590*k**2 - 83745900*k - 27783000.
-3*(k + 210)**3*(3*k + 1)
Factor -4*q**2 - 28*q + 912.
-4*(q - 12)*(q + 19)
Let -5*l**4 - 15*l**3 + 5*l**2 + 15*l = 0. Calculate l.
-3, -1, 0, 1
Determine j, given that -7*j**5/3 - 719*j**4/3 + 71*j**3 + 719*j**2/3 - 206*j/3 = 0.
-103, -1, 0, 2/7, 1
Factor 5*c**4 - 9020*c**3 + 4058990*c**2 + 8145060*c + 4077045.
5*(c - 903)**2*(c + 1)**2
Factor -4*n**3 + 260*n**2 + 263*n + 66.
-(n - 66)*(2*n + 1)**2
Factor 4*b**5 + 32*b**4 + 44*b**3 - 80*b**2.
4*b**2*(b - 1)*(b + 4)*(b + 5)
Let 9*q**5/5 + 21*q**4/5 - 3*q**3/5 - 21*q**2/5 - 6*q/5 = 0. What is q?
-2, -1, -1/3, 0, 1
Suppose 2*d**4 + 12*d**3 - 24*d**2 - 140*d + 150 = 0. What is d?
-5, 1, 3
Let x**3/3 + 37*x**2/3 + 323*x/3 - 361/3 = 0. What is x?
-19, 1
Suppose p**5/5 + p**4/5 - 6*p**3/5 - 4*p**2/5 + 8*p/5 = 0. What is p?
-2, 0, 1, 2
Factor -2*l**3/5 + 6*l**2/5 + 18*l + 162/5.
-2*(l - 9)*(l + 3)**2/5
Determine i, given that -2*i**3 - 100*i**2 + 2*i + 100 = 0.
-50, -1, 1
Determine q so that 2*q**2/9 - 92*q/9 - 94/9 = 0.
-1, 47
What is o in -3*o**2/4 - 78*o - 2028 = 0?
-52
Suppose 3*k**5/8 - 513*k**4/8 + 2709*k**3 + 5547*k**2/2 = 0. Calculate k.
-1, 0, 86
Find f, given that -f**3 + 2*f**2 + 5*f - 6 = 0.
-2, 1, 3
Factor l**2 + 1110*l - 1111.
(l - 1)*(l + 1111)
Suppose 3*u**2 + 1722*u - 1725 = 0. Calculate u.
-575, 1
Solve -3*u**2 - 24*u = 0.
-8, 0
Solve -c**3 - 9*c**2/2 - 3*c/2 + 2 = 0.
-4, -1, 1/2
Factor -2*v**3/7 + 30*v**2/7 + 32*v/7.
-2*v*(v - 16)*(v + 1)/7
Suppose -5*v**5 - 275*v**4 + 15*v**3 + 835*v**2 + 550*v = 0. Calculate v.
-55, -1, 0, 2
Factor t**4/5 - 13*t**3/5 + 12*t**2/5.
t**2*(t - 12)*(t - 1)/5
Find u, given that 7*u**3/3 - 67*u**2 + 46*u + 56/3 = 0.
-2/7, 1, 28
Suppose -2*s**3 + 3826*s**2 - 7646*s + 3822 = 0. Calculate s.
1, 1911
Find t, given that 5*t**2/4 + 4*t + 11/4 = 0.
-11/5, -1
Let 3*f**2/2 + f = 0. Calculate f.
-2/3, 0
Factor 4*t**3 + 564*t**2 - 4*t - 564.
4*(t - 1)*(t + 1)*(t + 141)
Find y such that 3*y**4 - 339*y**3 + 9744*y**2 - 9408*y = 0.
0, 1, 56
Factor -5*z**3 + 65*z**2 - 240*z + 180.
-5*(z - 6)**2*(z - 1)
What is a in a**4/2 - 13*a**3 - 59*a**2/2 + 1482*a + 6498 = 0?
-6, 19
Factor -2*k**2 + 1948*k - 474338.
-2*(k - 487)**2
Factor -4*h**3/5 + 36*h**2/5 - 32*h/5.
-4*h*(h - 8)*(h - 1)/5
Factor 4*t**2 + 280*t - 1184.
4*(t - 4)*(t + 74)
Factor 2*b**2/9 + 70*b/3 + 412/9.
2*(b + 2)*(b + 103)/9
Find u such that 8*u**4/5 - 428*u**3 + 190098*u**2/5 - 5543093*u/5 - 5735339/5 = 0.
-1, 179/2
Let o**2/5 - 8*o/5 - 84/5 = 0. Calculate o.
-6, 14
Suppose -4*d**5 + 12*d**3 + 8*d**2 = 0. Calculate d.
-1, 0, 2
Suppose -5*s**2/3 - 175*s - 1030/3 = 0. What is s?
-103, -2
Factor -x**5/2 - 17*x**4/2 + 37*x**3/2 - 19*x**2/2.
-x**2*(x - 1)**2*(x + 19)/2
Solve -4*o**5 - 12*o**4 + 4*o**3 + 44*o**2 + 48*o + 16 = 0.
-2, -1, 2
Suppose y**5/3 - 5*y**4/3 + y**3 + 5*y**2/3 - 4*y/3 = 0. Calculate y.
-1, 0, 1, 4
Suppose -2*a**2 - 680*a - 57800 = 0. Calculate a.
-170
Solve 60*u**5 + 104*u**4 + 12*u**3 - 48*u**2 - 16*u = 0 for u.
-1, -2/5, 0, 2/3
Factor l**5 - 42*l**4 + 41*l**3.
l**3*(l - 41)*(l - 1)
Suppose 2*z**3/13 - 392*z**2/13 + 19594*z/13 - 37636/13 = 0. Calculate z.
2, 97
Solve -20*q**4 + 85*q**3 - 80*q**2 + 15*q = 0 for q.
0, 1/4, 1, 3
Let 5*j**2/2 - 13740*j = 0. Calculate j.
0, 5496
Suppose 4*d**4 - 11464*d**3 + 8213952*d**2 + 11464*d - 8213956 = 0. Calculate d.
-1, 1, 1433
Find m, given that -3*m**4/2 - 60*m**3 + 6*m**2 + 240*m = 0.
-40, -2, 0, 2
Solve 3*j**3/2 - 15*j**2/2 = 0.
0, 5
Determine f so that -3*f**3 - 96*f**2 = 0.
-32, 0
Find a such that -7*a**3/3 - 95*a**2/6 + 79*a/6 + 5 = 0.
-15/2, -2/7, 1
Factor -3*r**