*t**3 - 365*t**2 - 550*t - 160 = 0.
-1, -2/5, 16
Find j, given that 2*j**5 + 76*j**4 + 416*j**3 - 572*j**2 - 418*j + 496 = 0.
-31, -8, -1, 1
Let -12*h**3 + 1228*h**2/3 - 10540*h/3 + 1156/3 = 0. What is h?
1/9, 17
Determine c so that 28*c**3 + 124*c**2 + 48*c = 0.
-4, -3/7, 0
Solve -3*i**4/4 + 39*i**3/4 - 69*i**2/4 + 33*i/4 = 0 for i.
0, 1, 11
Factor 5*m**2 + 15050*m + 11325125.
5*(m + 1505)**2
Solve 2*j**5 + 130*j**4 + 716*j**3 + 460*j**2 - 718*j - 590 = 0 for j.
-59, -5, -1, 1
Factor 2*b**2/11 - 80*b/11.
2*b*(b - 40)/11
Suppose -3*z**2/4 + 9*z = 0. Calculate z.
0, 12
Suppose -2*t**2/5 + 3892*t/5 - 1893458/5 = 0. What is t?
973
Determine a so that a**5/9 + a**4 + 13*a**3/9 - a**2 - 14*a/9 = 0.
-7, -2, -1, 0, 1
Factor 2*q**4 - 14*q**3 + 32*q**2 - 24*q.
2*q*(q - 3)*(q - 2)**2
Factor -2*k**2 - 36*k.
-2*k*(k + 18)
Solve -s**4/4 - 7*s**3/4 - 15*s**2/4 - 9*s/4 = 0.
-3, -1, 0
Factor -2*j**4/7 - 24*j**3 - 492*j**2/7 - 488*j/7 - 162/7.
-2*(j + 1)**3*(j + 81)/7
Find v, given that -900*v**5 + 1680*v**4 - 784*v**3 = 0.
0, 14/15
Solve 4*d**5 - 16*d**4 - 20*d**3 + 80*d**2 + 16*d - 64 = 0 for d.
-2, -1, 1, 2, 4
Factor 5*k**5 - 10*k**4 - 15*k**3 + 20*k**2 + 20*k.
5*k*(k - 2)**2*(k + 1)**2
Factor -4*w**2 + 1728*w - 186624.
-4*(w - 216)**2
Factor -d**4/2 - 4080*d**3 - 8319119*d**2 + 16650480*d - 16654561/2.
-(d - 1)**2*(d + 4081)**2/2
Let j**3/3 + 94*j**2 + 6627*j = 0. What is j?
-141, 0
Suppose -6*u**5 + 81*u**4 + 336*u**3 + 351*u**2 + 102*u = 0. Calculate u.
-2, -1, -1/2, 0, 17
Solve -5*k**3/3 + 115*k**2/3 - 680*k/3 + 400 = 0.
4, 15
Find i, given that 2*i**3/5 + 8*i**2/5 + 8*i/5 = 0.
-2, 0
Factor -5*b**3/4 + 41*b**2/2 - 107*b/4 + 15/2.
-(b - 15)*(b - 1)*(5*b - 2)/4
Factor -t**3/3 - 35*t**2/3 - 352*t/3 - 256.
-(t + 3)*(t + 16)**2/3
What is n in -2*n**2 + 4074*n - 4072 = 0?
1, 2036
Factor -10*g**3 - 116*g**2 - 272*g + 128.
-2*(g + 4)*(g + 8)*(5*g - 2)
Determine q, given that -2*q**5/5 - 28*q**4/5 - 84*q**3/5 - 32*q**2/5 + 86*q/5 + 12 = 0.
-10, -3, -1, 1
Factor 4*g**2 - 53728*g + 180418624.
4*(g - 6716)**2
Find v, given that 230*v**3 - 565*v**2 + 205*v + 10 = 0.
-1/23, 1/2, 2
Let x**5/9 + 14*x**4/9 - 35*x**3/9 - 16*x**2/3 = 0. What is x?
-16, -1, 0, 3
Solve 3*y**2/5 - 144*y/5 + 1728/5 = 0.
24
Determine b, given that 2*b**3/9 + 32*b**2/9 + 98*b/9 - 44/3 = 0.
-11, -6, 1
What is k in 2*k**3 - 10*k**2 - 64*k - 72 = 0?
-2, 9
Factor -4*g**3 - 128*g**2 - 484*g + 1512.
-4*(g - 2)*(g + 7)*(g + 27)
What is w in 135*w**3 + 285*w**2 - 110*w = 0?
-22/9, 0, 1/3
Find b, given that -10*b**4 - 34*b**3 + 48*b**2 + 104*b + 32 = 0.
-4, -1, -2/5, 2
Suppose 2*l**2/5 + 206*l/5 - 216 = 0. Calculate l.
-108, 5
Factor -5*d**5/2 + 15*d**3 + 20*d**2 + 15*d/2.
-5*d*(d - 3)*(d + 1)**3/2
Factor -u**5/4 + 99*u**4/4 - 3591*u**3/4 + 56889*u**2/4 - 83349*u.
-u*(u - 36)*(u - 21)**3/4
Factor 14*k**2 - 76*k + 80.
2*(k - 4)*(7*k - 10)
What is l in l**5/4 - 11*l**4/4 + 41*l**3/4 - 49*l**2/4 - 15*l/2 + 18 = 0?
-1, 2, 3, 4
Suppose -140*p**5 - 2224*p**4 + 412*p**3 + 2480*p**2 - 272*p - 256 = 0. Calculate p.
-16, -1, -2/7, 2/5, 1
Factor -45*b**2 + 560*b - 940.
-5*(b - 2)*(9*b - 94)
Determine w so that -w**2/4 + 3*w/4 + 5/2 = 0.
-2, 5
Find l such that 4*l**3 + 28*l**2 - 4*l - 28 = 0.
-7, -1, 1
Find z, given that -3*z**5/7 - 93*z**4/7 - 549*z**3/7 - 1119*z**2/7 - 948*z/7 - 288/7 = 0.
-24, -4, -1
Factor 75712*p**3/3 - 24544*p**2/3 + 860*p/3 - 8/3.
4*(7*p - 2)*(52*p - 1)**2/3
Factor -2*f**3/21 - 4*f**2 + 58*f/7 - 88/21.
-2*(f - 1)**2*(f + 44)/21
Solve 4*p**3 - 40*p**2 + 64*p = 0 for p.
0, 2, 8
What is b in -2*b**3 + 218*b**2 + 220*b = 0?
-1, 0, 110
Suppose -a**5 + 26*a**4 - 24*a**3 - 26*a**2 + 25*a = 0. What is a?
-1, 0, 1, 25
Factor -f**2/3 + 5*f + 18.
-(f - 18)*(f + 3)/3
Factor 2*h**2 - 10*h - 100.
2*(h - 10)*(h + 5)
Suppose -3*c**3/2 - 9*c**2/2 + 132*c = 0. Calculate c.
-11, 0, 8
Let -5*y**2 - 5665*y = 0. Calculate y.
-1133, 0
Factor -83*p**4 + 85*p**3 - 2*p**2.
-p**2*(p - 1)*(83*p - 2)
Solve 2*k**3/19 + 50*k**2/19 + 406*k/19 + 1078/19 = 0 for k.
-11, -7
Suppose -2*x**5/3 + 206*x**4/3 - 5606*x**3/3 + 15602*x**2/3 - 15200*x/3 + 5000/3 = 0. Calculate x.
1, 50
Determine g so that -g**5/3 - 23*g**4/3 - 143*g**3/3 - 121*g**2/3 = 0.
-11, -1, 0
Solve -5*o**4 + 415*o**3 - 1210*o**2 + 800*o = 0 for o.
0, 1, 2, 80
Let -216*u**5/11 - 1182*u**4/11 - 2250*u**3/11 - 1740*u**2/11 - 504*u/11 - 48/11 = 0. Calculate u.
-2, -1, -1/4, -2/9
Determine i, given that -5*i**3 + 15*i - 10 = 0.
-2, 1
Factor -5*t**3 - 50*t**2.
-5*t**2*(t + 10)
Factor 2*t**2/9 - 16*t/9 - 70/3.
2*(t - 15)*(t + 7)/9
Let -5*d**3 + 45*d**2 + 3705*d + 29575 = 0. What is d?
-13, 35
Let -2*q**2/5 + 7312*q/5 - 1462 = 0. Calculate q.
1, 3655
Let -147*h**4 - 672*h**3 - 789*h**2 - 300*h - 36 = 0. Calculate h.
-3, -1, -2/7
Factor 3*g**2 - 51*g - 414.
3*(g - 23)*(g + 6)
Factor -2*p**3/3 - 10*p**2 - 24*p.
-2*p*(p + 3)*(p + 12)/3
Find m, given that 4*m**5/3 - 79*m**4 + 3655*m**3/3 - 1421*m**2 + 841*m/3 = 0.
0, 1/4, 1, 29
Find m such that -3*m**5/2 - 5*m**4/2 + 5*m**3/2 + 5*m**2/2 - m = 0.
-2, -1, 0, 1/3, 1
Suppose 3*a**4/4 + 2*a**3 - 11*a**2/4 - 7*a - 3 = 0. Calculate a.
-3, -1, -2/3, 2
Suppose 4*t**5/7 - 68*t**4/7 - 72*t**3/7 = 0. Calculate t.
-1, 0, 18
Factor 5*s**2 + 45*s/2 - 25/2.
5*(s + 5)*(2*s - 1)/2
Factor -2*n**5/15 - 4*n**4/3 - 16*n**3/5 - 44*n**2/15 - 14*n/15.
-2*n*(n + 1)**3*(n + 7)/15
Factor -q**3/3 + 581*q**2/3 - 84680*q/3 + 84100/3.
-(q - 290)**2*(q - 1)/3
Let q**3 - 12*q**2 - 127*q - 114 = 0. Calculate q.
-6, -1, 19
Solve 108*x**3 - 16832*x**2/3 + 218192*x/3 + 10816/3 = 0.
-4/81, 26
Let 70*q**3/3 + 844*q**2/9 + 16*q/9 = 0. What is q?
-4, -2/105, 0
Let -2*q**3/11 + 2*q**2/11 + 4*q - 80/11 = 0. What is q?
-5, 2, 4
Determine t so that 6*t**5/13 - 4*t**4/13 - 158*t**3/13 - 196*t**2/13 - 48*t/13 = 0.
-4, -1, -1/3, 0, 6
Factor -2*j**2 + 112*j.
-2*j*(j - 56)
What is l in -5*l**3 - 30*l**2 + 95*l + 120 = 0?
-8, -1, 3
Factor 2*c**3/3 + 10*c**2/3 - 248*c/3 - 520/3.
2*(c - 10)*(c + 2)*(c + 13)/3
Factor -y**3/3 - 25*y**2/3 - 164*y/3 - 140/3.
-(y + 1)*(y + 10)*(y + 14)/3
Factor -3*f**5 - 36*f**4 - 156*f**3 - 288*f**2 - 192*f.
-3*f*(f + 2)**2*(f + 4)**2
Suppose -5*d**4 + 15*d**3 + 605*d**2 - 3315*d + 2700 = 0. Calculate d.
-12, 1, 5, 9
Find h such that -h**2/4 + 21*h/2 + 135/4 = 0.
-3, 45
Let -3*z**2 + 4545*z - 9078 = 0. What is z?
2, 1513
Determine d, given that -3*d**5/2 - 39*d**4/2 - 93*d**3/2 - 21*d**2/2 + 48*d + 30 = 0.
-10, -2, -1, 1
Factor d**4 - 6*d**3 + 5*d**2.
d**2*(d - 5)*(d - 1)
Let -3*l**5 + 531*l**4 - 1575*l**3 + 1569*l**2 - 522*l = 0. Calculate l.
0, 1, 174
What is s in 2*s**2/15 - 14*s/5 + 76/15 = 0?
2, 19
Factor 4*c**4 - 147*c**3 - 189*c**2 - 38*c.
c*(c - 38)*(c + 1)*(4*c + 1)
What is b in -9*b**5 - 114*b**4 + 1560*b**3 - 390*b**2 - 1551*b + 504 = 0?
-21, -1, 1/3, 1, 8
Determine x, given that x**5 + 4*x**4 - 16*x**3 - 22*x**2 + 15*x + 18 = 0.
-6, -1, 1, 3
Let 2*b**5/7 - 44*b**4/7 - 708*b**3/7 - 3456*b**2/7 - 1026*b - 5508/7 = 0. Calculate b.
-3, 34
Find y such that -2*y**4/3 + 14*y**3/3 + 34*y**2/3 + 6*y = 0.
-1, 0, 9
Factor i**2/4 - i/2 - 462.
(i - 44)*(i + 42)/4
Solve -2*y**5/3 - 128*y**4/3 + 132*y**3 - 400*y**2/3 + 134*y/3 = 0 for y.
-67, 0, 1
Factor 2*n**4/5 + 296*n**3/5 + 10652*n**2/5 - 4440*n + 2250.
2*(n - 1)**2*(n + 75)**2/5
Let 13*a**2 - 313*a + 24 = 0. Calculate a.
1/13, 24
Find c, given that 3*c**4 + 78*c**3 + 507*c**2 + 432*c = 0.
-16, -9, -1, 0
Solve 3*q**4 + 18*q**3 - 21*q**2 = 0.
-7, 0, 1
Suppose 2*b**4/15 - 2*b**3/15 - 6*b**2/5 - 22*b/15 - 8/15 = 0. Calculate b.
-1, 4
What is v in v**3/3 - 97*v**2/3 + 800*v - 768 = 0?
1, 48
Find p such that 4*p**4/9 + 20*p**3/9 - 508*p**2/9 - 20*p/9 + 56 = 0.
-14, -1, 1, 9
Solve h**2/6 - 151*h/6 - 76/3 = 0.
-1, 152
Factor 20*p**3 + 2725*p**2 + 680*p.
5*p*(p + 136)*(4*p + 1)
Solve -2*a**3/7 + 2*a**2/7 = 0 for a.
0, 1
Let 3*g**2/7 + 2853*g/7 + 14190/7 = 0. Calculate g.
-946, -5
Factor 35*d**4 + 465*d**3 + 1810*d**2 + 1740*d + 360.
5*(d + 1)*(d + 6)**2*(7*d + 2)
Factor -4*v**5 + 4*v**4 + 20*v**3 + 12*v**2.
-4*v**2*(v - 3)*(v + 1)**2
Factor -6*h**3/7 - 6*h**2 - 36*h/7.
-6*h*(h + 1)*(h + 6)/7
Factor -5*w**3 + 565*w**2 + 570*w.
-5*w*(w - 114)*(w + 1)
Let 16*c**5 - 32*c**4 - 2924*c**3 - 11460*c**2 + 14400*c = 0. What is c?
-15/2, 0, 1, 16
Factor r**3 + 19*r**2 + 18*r.
r*(r + 1)*(r + 18)
Find w, given 