/2 - s**3 + 5*s**2/6 + s = 0.
-1, 0, 3/2, 2
Factor 3*d**2 + 13632*d + 15485952.
3*(d + 2272)**2
What is i in -i**3 + 12*i**2 + 45*i = 0?
-3, 0, 15
Factor f**2/6 + 7*f/6 - 10.
(f - 5)*(f + 12)/6
What is y in -101250*y**2 + 900*y - 2 = 0?
1/225
Factor 26*f**3/3 + 314*f**2/3 + 320*f + 24.
2*(f + 6)**2*(13*f + 1)/3
What is a in -35*a**2/2 - 295*a/2 - 130 = 0?
-52/7, -1
Suppose 4*v**3 - 20*v**2 + 32*v - 16 = 0. Calculate v.
1, 2
Determine g, given that -2*g**5/9 - 8*g**4/3 - 34*g**3/9 + 68*g**2/9 + 8*g - 80/9 = 0.
-10, -2, 1
Solve -4*z**5 - 28*z**4 - 32*z**3 + 112*z**2 + 192*z = 0 for z.
-4, -3, -2, 0, 2
Factor -r**3/8 + 119*r**2/8 + 489*r/8 + 369/8.
-(r - 123)*(r + 1)*(r + 3)/8
Factor 2*a**4/5 - a**3/5 - 6*a**2/5 + 7*a/5 - 2/5.
(a - 1)**2*(a + 2)*(2*a - 1)/5
Find q, given that -4*q**3/3 - 52*q**2 - 192*q - 560/3 = 0.
-35, -2
Let t**2 + 18*t - 19 = 0. What is t?
-19, 1
Let -2*n**2 + 178*n - 348 = 0. What is n?
2, 87
Factor 4*m**3 - 1576*m**2 - 6352*m - 6368.
4*(m - 398)*(m + 2)**2
Suppose -5*z**3 + 115*z**2 + 1140*z - 2700 = 0. Calculate z.
-9, 2, 30
Find s, given that 106*s**2/11 - 107*s/11 + 1/11 = 0.
1/106, 1
Factor 28*c**3 - 27196*c**2 - 19448*c + 7776.
4*(c - 972)*(c + 1)*(7*c - 2)
What is r in 2*r**4/5 - 98*r**3/5 + 438*r**2/5 + 98*r/5 - 88 = 0?
-1, 1, 5, 44
Factor -10*c**4 + 14*c**3 - 4*c**2.
-2*c**2*(c - 1)*(5*c - 2)
Factor 35*h**4 + 80*h**3 + 55*h**2 + 10*h.
5*h*(h + 1)**2*(7*h + 2)
Factor 72*n**2 - 8*n + 2/9.
2*(18*n - 1)**2/9
Factor 3*s**2/2 - 54*s - 114.
3*(s - 38)*(s + 2)/2
Solve 3*g**2 - 154*g/3 - 416 = 0.
-6, 208/9
Factor 5*b**2/6 + 25*b/2 - 40/3.
5*(b - 1)*(b + 16)/6
Let 115*z**3 + 30*z**2 = 0. What is z?
-6/23, 0
Suppose 4*h**4/7 + 148*h**3/7 - 4*h**2 - 1060*h/7 - 888/7 = 0. What is h?
-37, -2, -1, 3
Factor b**4/8 + 13*b**3/4 + 49*b**2/8 + 3*b.
b*(b + 1)**2*(b + 24)/8
Factor b**4/6 - 4*b**3 + 24*b**2.
b**2*(b - 12)**2/6
Determine m so that 5*m**4 - 400*m**3 - 835*m**2 + 1230*m = 0.
-3, 0, 1, 82
Solve -4*o**4 - 138*o**3 + 150*o**2 + 284*o = 0 for o.
-71/2, -1, 0, 2
Solve -4*w**4 - 4*w**3 + 196*w**2 + 676*w + 480 = 0.
-5, -3, -1, 8
Factor 2*c**4/3 + 6*c**3 + 20*c**2/3 - 24*c - 112/3.
2*(c - 2)*(c + 2)**2*(c + 7)/3
Factor 3*l**2 - 1662*l + 230187.
3*(l - 277)**2
Solve f**3/3 + 41*f**2/3 = 0.
-41, 0
Suppose -12*a**4 + 56*a**3 - 76*a**2 + 16*a + 16 = 0. What is a?
-1/3, 1, 2
Factor 2*o**3 + 36*o**2 + 120*o - 400.
2*(o - 2)*(o + 10)**2
Factor 2*p**3 - 20*p**2 - 46*p - 24.
2*(p - 12)*(p + 1)**2
Determine p so that p**5/6 - p**4/3 - 3*p**3/2 + p**2/3 + 4*p/3 = 0.
-2, -1, 0, 1, 4
Factor m**2/6 - 180*m + 48600.
(m - 540)**2/6
Factor -2*h**4/3 - 40*h**3/3 - 100*h**2 - 1000*h/3 - 1250/3.
-2*(h + 5)**4/3
Factor -2*p**2/5 + 1988*p/5 - 494018/5.
-2*(p - 497)**2/5
Factor 5*x**3 - 100*x**2 + 585*x - 810.
5*(x - 9)**2*(x - 2)
What is i in -4*i**4/5 - 56*i**3 - 980*i**2 = 0?
-35, 0
Factor r**4 + 5*r**3 - 31*r**2 + 43*r - 18.
(r - 2)*(r - 1)**2*(r + 9)
Determine w so that -w**3/2 + 10*w**2 + w/2 - 10 = 0.
-1, 1, 20
Find k, given that -4*k**4/5 + 48*k**3/5 - 44*k**2/5 = 0.
0, 1, 11
Factor -4*s**3 - 19452*s**2 - 23639040*s + 23658496.
-4*(s - 1)*(s + 2432)**2
Suppose -11*x**5 - 9*x**4 + 112*x**3 - 108*x**2 + 16*x = 0. Calculate x.
-4, 0, 2/11, 1, 2
Solve x**2/2 + 7*x/2 - 15 = 0 for x.
-10, 3
Suppose -3*q**3 - 759*q**2 - 48384*q - 47628 = 0. Calculate q.
-126, -1
Let v**3 - 20*v**2 - 43*v - 22 = 0. Calculate v.
-1, 22
Determine n, given that -21*n**5/2 + 87*n**4 + 102*n**3 - 1548*n**2 + 432*n = 0.
-4, 0, 2/7, 6
Solve -3*r**3/4 + 3*r**2/2 + 9*r/4 = 0 for r.
-1, 0, 3
Find a, given that -2*a**2/3 + 1372*a/3 - 1370/3 = 0.
1, 685
Determine s, given that -s**4/5 + 48*s**3/5 - 526*s**2/5 - 240*s - 125 = 0.
-1, 25
Factor -4*o**2 + 92*o + 96.
-4*(o - 24)*(o + 1)
Factor -2*x**2/13 - 62*x/13 - 60/13.
-2*(x + 1)*(x + 30)/13
Let 3*q**2 + 1140*q - 4608 = 0. Calculate q.
-384, 4
Factor x**4/4 - x**3/2 - 3*x**2 + 2*x + 8.
(x - 4)*(x - 2)*(x + 2)**2/4
Solve a**5 + 3*a**4 - 3*a**3 - 11*a**2 - 6*a = 0 for a.
-3, -1, 0, 2
Determine s, given that -2*s**2/21 + 2074*s/21 + 4156/21 = 0.
-2, 1039
Factor -5*u**4 - 180*u**3 - 2025*u**2 - 7290*u.
-5*u*(u + 9)**2*(u + 18)
Factor c**2 - 45*c + 44.
(c - 44)*(c - 1)
Solve -25*w**4 + 65*w**3 - 20*w**2 - 20*w = 0 for w.
-2/5, 0, 1, 2
Factor -4*q**3 - 119*q**2 + 426*q - 99.
-(q - 3)*(q + 33)*(4*q - 1)
Factor -2*q**3/21 + 2*q**2/7 - 4*q/21.
-2*q*(q - 2)*(q - 1)/21
Suppose 3*x**4/4 - 45*x**3/2 + 138*x**2 + 576*x - 1536 = 0. What is x?
-4, 2, 16
Factor 4*y**2/5 - 252*y/5 - 272.
4*(y - 68)*(y + 5)/5
Let 3*o**4/5 + 33*o**3/5 + 108*o**2/5 + 48*o/5 - 192/5 = 0. Calculate o.
-4, 1
Factor -4*r**3 + 1456*r**2 - 4340*r + 2888.
-4*(r - 361)*(r - 2)*(r - 1)
Factor 2*n**2 + 1254*n + 2500.
2*(n + 2)*(n + 625)
Solve -5*c**2 + 110*c - 605 = 0.
11
What is u in u**4/4 - 2*u**3 - 27*u**2 - 76*u - 64 = 0?
-4, -2, 16
Let -6*o**4 - 129*o**3 + 372*o**2 + 279*o - 216 = 0. What is o?
-24, -1, 1/2, 3
Let -24*r**4 + 50*r**3 + 14*r**2 - 32*r - 8 = 0. What is r?
-2/3, -1/4, 1, 2
Factor 2*a**2/17 - 600*a/17 - 1818/17.
2*(a - 303)*(a + 3)/17
What is f in -2*f**2 - 756*f - 71442 = 0?
-189
Factor -f**2/6 + 67*f/3.
-f*(f - 134)/6
Factor 3*o**3/4 - 14043*o**2/4.
3*o**2*(o - 4681)/4
Determine l so that 9*l**4 + 136*l**3 + 465*l**2 + 50*l = 0.
-10, -5, -1/9, 0
Determine p so that 46*p**5 + 420*p**4 + 1388*p**3 + 1968*p**2 + 1062*p + 108 = 0.
-3, -2, -1, -3/23
Factor a**2/2 + 5069*a + 25694761/2.
(a + 5069)**2/2
Solve -3*i**3 - 9168*i**2 - 18327*i - 9162 = 0.
-3054, -1
Factor 2*o**5/5 - 6*o**4/5 - 18*o**3/5 - 2*o**2.
2*o**2*(o - 5)*(o + 1)**2/5
Let -5*o**2 + 100*o + 220 = 0. Calculate o.
-2, 22
Solve -80*s**5 + 616*s**4/3 + 305*s**3/3 + 22*s**2/3 - s = 0 for s.
-1/4, 0, 1/15, 3
Factor 2*f**2 - 594*f.
2*f*(f - 297)
Determine v so that -10*v**5/13 - 8*v**4 + 1176*v**3/13 + 724*v**2/13 - 3214*v/13 + 1428/13 = 0.
-17, -2, 3/5, 1, 7
Solve -l**4/6 + 22*l**3/3 - 161*l**2/2 - 22*l/3 + 242/3 = 0 for l.
-1, 1, 22
Let 3*o**4/7 + 33*o**3/7 + 15*o**2 + 75*o/7 = 0. What is o?
-5, -1, 0
Factor -3*q**2 - 762*q - 1512.
-3*(q + 2)*(q + 252)
Let a**5/6 + 9*a**4/2 + 47*a**3 + 707*a**2/3 + 1127*a/2 + 1029/2 = 0. What is a?
-7, -3
Let -2*x**3 - 226*x**2 + 2*x + 226 = 0. Calculate x.
-113, -1, 1
Determine x so that x**3 + 126*x**2 + 2220*x + 10600 = 0.
-106, -10
Factor 2*p**2/3 + 8*p/3 + 8/3.
2*(p + 2)**2/3
Let -2*v**4/5 - 108*v**3/5 - 42*v**2 - 104*v/5 = 0. Calculate v.
-52, -1, 0
Factor k**3/3 - 436*k**2/3 + 15695*k + 31974.
(k - 219)**2*(k + 2)/3
Factor 12*l**2 - 128*l - 44.
4*(l - 11)*(3*l + 1)
Suppose -2*c**5/9 - 4*c**4/9 + 40*c**3/9 + 80*c**2/9 - 128*c/9 - 256/9 = 0. What is c?
-4, -2, 2, 4
Factor -m**4 - 47*m**3 + 306*m**2 - 628*m + 424.
-(m - 2)**3*(m + 53)
Determine z, given that 4*z**2 + 4*z - 8 = 0.
-2, 1
Factor -s**2 - 70*s - 1225.
-(s + 35)**2
Factor -v**4 + 7*v**3 + 57*v**2 - 423*v + 648.
-(v - 9)*(v - 3)**2*(v + 8)
Solve 3481*d**3 + 97232*d**2 - 6604*d + 112 = 0.
-28, 2/59
Factor -56*p**3 - 114*p**2 - p + 6.
-(p + 2)*(4*p + 1)*(14*p - 3)
Solve -5*k**4/4 + 845*k**3/4 - 9030*k**2 + 8820*k = 0 for k.
0, 1, 84
Factor -4*q**2 + 932*q.
-4*q*(q - 233)
Let c**2/6 + 23*c/6 + 20 = 0. Calculate c.
-15, -8
Factor -3*o**3 + 135*o**2 - 1584*o + 1452.
-3*(o - 22)**2*(o - 1)
Determine k, given that 24*k**5/11 - 40*k**4/11 - 26*k**3/11 + 16*k**2/11 + 8*k/11 = 0.
-1/2, 0, 2/3, 2
Find j such that -39*j**2/8 + 21*j/8 + 9/4 = 0.
-6/13, 1
Factor 5*z**3 - 75*z**2 - 1250*z.
5*z*(z - 25)*(z + 10)
Factor -5*t**4/2 - 20*t**3.
-5*t**3*(t + 8)/2
Let -3*i**4/4 - 15*i**3/4 - 3*i**2 = 0. Calculate i.
-4, -1, 0
Solve 6498*h**2 - 912*h + 32 = 0.
4/57
Solve 2*f**5/11 + 10*f**4/11 + 12*f**3/11 - 8*f**2/11 - 16*f/11 = 0 for f.
-2, 0, 1
Let -2*p**4/5 + 24*p**3/5 - 92*p**2/5 + 24*p - 10 = 0. Calculate p.
1, 5
Determine i so that -10*i**4/19 + 42*i**3/19 - 58*i**2/19 + 30*i/19 - 4/19 = 0.
1/5, 1, 2
Factor -v**3/2 - 29*v**2 + v/2 + 29.
-(v - 1)*(v + 1)*(v + 58)/2
Suppose -2*y**4/3 + 20*y**3/3 - 22*y**2 + 88*y/3 - 40/3 = 0. What is y?
1, 2, 5
Factor -2*g**2/11 - 600*g/11 - 1192/11.
-2*(g + 2)*(g + 298)/11
Factor 2*i**3/5 - 402*i**2/5.
2*i**2*(i - 201)/5
Let -3*b**4 + 6*b**3 + 3*b**2 - 6*b = 0. Calculate b.
-1, 0, 1, 2
Find b, given that -2*b**5/19 + 66*b**4/19 - 286*b**3/19 + 158*b**2/19 + 288*b/19 - 224/19 = 0.
-1, 1, 4