**2*(7*f - 2)
Suppose 3*d**5 + 21*d**4 + 45*d**3 + 39*d**2 + 12*d = 0. Calculate d.
-4, -1, 0
Factor 4*t**2/5 - 1664*t/5.
4*t*(t - 416)/5
Let -4*h**5/5 - 8*h**4 - 116*h**3/5 - 16*h**2 = 0. Calculate h.
-5, -4, -1, 0
Factor -b**4 + 18*b**3 - 60*b**2 + 56*b.
-b*(b - 14)*(b - 2)**2
Let -18*v**2/5 + 44*v/5 + 6 = 0. Calculate v.
-5/9, 3
Factor 147*o**2/4 - 273*o/2 + 507/4.
3*(7*o - 13)**2/4
Solve -9*h**3/7 + 934*h**2/7 - 2519*h/7 - 606/7 = 0.
-2/9, 3, 101
Determine d, given that 4*d**3 + 1008*d**2 + 5940*d + 8856 = 0.
-246, -3
Factor 5*d**2 - 10350*d + 5356125.
5*(d - 1035)**2
Determine k, given that -4*k**2 + 2944*k + 2948 = 0.
-1, 737
Let v**3/2 + 5*v**2/2 - 2*v - 10 = 0. What is v?
-5, -2, 2
Factor 5*t**3 - 95*t**2 - 520*t + 1380.
5*(t - 23)*(t - 2)*(t + 6)
Find d such that 8*d**5/7 + 66*d**4/7 - 1464*d**3/7 + 3566*d**2/7 + 6456*d/7 + 1368/7 = 0.
-19, -1, -1/4, 6
Factor -x**3/3 + 352*x**2/3 + 1420*x/3 + 1424/3.
-(x - 356)*(x + 2)**2/3
Let 4*b**3 + 12*b**2 - 40*b = 0. Calculate b.
-5, 0, 2
Factor 14*v**4 - 34*v**3 + 26*v**2 - 6*v.
2*v*(v - 1)**2*(7*v - 3)
What is i in -i**2/3 + 391*i/3 - 130 = 0?
1, 390
Factor 2*w**4/7 - 12*w**3/7 - 30*w**2/7 + 200*w/7.
2*w*(w - 5)**2*(w + 4)/7
Factor q**4 - 28*q**3 + 141*q**2 - 202*q + 88.
(q - 22)*(q - 4)*(q - 1)**2
Let -2*r**2/3 - 1688*r/3 - 356168/3 = 0. What is r?
-422
What is s in -s**2/6 + 10*s/3 + 22/3 = 0?
-2, 22
Let w**3/2 + 10*w**2 + 50*w = 0. Calculate w.
-10, 0
Factor -h**2/4 - 243*h/4 - 121/2.
-(h + 1)*(h + 242)/4
Solve -3*u**3/4 - 111*u**2 = 0.
-148, 0
Suppose -5*d**5/2 + 15*d**4/2 + 15*d**3 - 20*d**2 = 0. Calculate d.
-2, 0, 1, 4
Factor 4*g**5/7 - 80*g**4/7 + 72*g**3 - 112*g**2 - 196*g.
4*g*(g - 7)**3*(g + 1)/7
Solve -4*t**2 - 176*t - 1936 = 0 for t.
-22
Suppose -2*n**3/19 - 46*n**2/19 - 182*n/19 + 1014/19 = 0. What is n?
-13, 3
Determine f so that 4*f**5 + 8*f**4 - 608*f**3 + 576*f**2 + 25920*f - 86400 = 0.
-10, 6
Factor -51328712*h**2 - 20264*h - 2.
-2*(5066*h + 1)**2
Suppose -9*q**5 - 78*q**4 - 111*q**3 - 42*q**2 = 0. Calculate q.
-7, -1, -2/3, 0
Solve -40*m**2/9 + 92*m/9 + 28/3 = 0 for m.
-7/10, 3
Factor -5*p**2 - 805*p - 1590.
-5*(p + 2)*(p + 159)
Determine g, given that -845*g**4 + 1105*g**3 + 2515*g**2 - 5025*g + 2250 = 0.
-2, 1, 15/13
Factor -5*u**4 + 759*u**3 - 29473*u**2 + 50325*u + 11250.
-(u - 75)**2*(u - 2)*(5*u + 1)
Factor i**2/2 - 4*i + 15/2.
(i - 5)*(i - 3)/2
Solve -3*p**2/2 - 2427*p - 4851/2 = 0.
-1617, -1
Find r such that 9*r**5/4 - 79*r**4/4 + 9*r**3 + 39*r**2 + 8*r = 0.
-1, -2/9, 0, 2, 8
Factor -19*y**2/6 + 25*y/6 - 1.
-(y - 1)*(19*y - 6)/6
Factor 2*r**3 + 21*r**2 + 49*r + 30.
(r + 1)*(r + 2)*(2*r + 15)
Find v such that v**5/5 + 9*v**4/5 - 7*v**3 + 3*v**2 + 34*v/5 - 24/5 = 0.
-12, -1, 1, 2
Factor -h**4/8 - 9*h**3/8 + 13*h**2 - 18*h - 32.
-(h - 4)**2*(h + 1)*(h + 16)/8
Factor m**2/10 - 56*m/5 + 111/10.
(m - 111)*(m - 1)/10
Let -5*d**2 + 50*d - 125 = 0. What is d?
5
Factor y**4/9 + 8*y**3/9 + 5*y**2/3 - 4*y/9 - 20/9.
(y - 1)*(y + 2)**2*(y + 5)/9
Suppose w**2/3 + 77*w - 232/3 = 0. Calculate w.
-232, 1
Solve 5*r**4/4 - 25*r**3/4 + 15*r**2/2 + 5*r - 10 = 0 for r.
-1, 2
Factor 20*z**3 + 168*z**2 + 52*z - 96.
4*(z + 1)*(z + 8)*(5*z - 3)
Let -2*h**5/7 + 38*h**4/7 + 132*h**3/7 - 584*h**2 + 560*h = 0. What is h?
-10, 0, 1, 14
Find r such that -2*r**2/7 + 26*r/7 - 60/7 = 0.
3, 10
Factor -2*q**2 - 12*q + 320.
-2*(q - 10)*(q + 16)
Suppose 8*t**4/9 - 200*t**3/9 - 710*t**2/9 + 1040*t/9 + 224/3 = 0. What is t?
-4, -1/2, 3/2, 28
Factor 3*v**5 + 12*v**4 + 18*v**3 + 12*v**2 + 3*v.
3*v*(v + 1)**4
Suppose -3*z**2/7 + 3*z/7 = 0. What is z?
0, 1
Solve -10*p**5 - 298*p**4/3 - 376*p**3/3 + 1760*p**2/3 - 448*p + 96 = 0 for p.
-6, 2/5, 2/3, 1
Find x such that 5*x**5 - 265*x**4 - 550*x**3 - 10*x**2 + 545*x + 275 = 0.
-1, 1, 55
Determine s so that 7*s**5 + 5*s**4 - 51*s**3 - 77*s**2 - 16*s + 12 = 0.
-2, -1, 2/7, 3
Suppose 5*n**3 - 4755*n**2 + 1507335*n - 159275065 = 0. Calculate n.
317
Factor 4*y**2/3 + 122*y - 186.
2*(y + 93)*(2*y - 3)/3
Factor 9*y**4/4 - 61*y**3/4 + 121*y**2/4 - 51*y/4 - 9/2.
(y - 3)**2*(y - 1)*(9*y + 2)/4
Find x, given that 3*x**5 + 126*x**4 + 456*x**3 - 48*x**2 - 1872*x - 1824 = 0.
-38, -2, 2
Determine y so that 25*y**2 + 640*y + 375 = 0.
-25, -3/5
Solve -5*n**3 + 5405*n**2 - 1457995*n - 1463405 = 0.
-1, 541
Suppose -2*w**2/11 - 70*w/11 - 608/11 = 0. Calculate w.
-19, -16
Solve -8*j**2/9 + 142*j/9 - 134/9 = 0.
1, 67/4
Factor -2*d**2/3 - 4*d + 48.
-2*(d - 6)*(d + 12)/3
Solve r**2/2 - 85*r - 875/2 = 0 for r.
-5, 175
Factor 4*x**4/7 + 20*x**3/7 - 100*x**2/7 - 500*x/7.
4*x*(x - 5)*(x + 5)**2/7
Factor 2*t**2/5 + 208*t/5 - 424/5.
2*(t - 2)*(t + 106)/5
Determine f, given that -9*f**4 + 1659*f**3 + 1167*f**2 - 10563*f + 3330 = 0.
-3, 1/3, 2, 185
What is m in 2*m**3/5 - 136*m**2/5 - 138*m/5 = 0?
-1, 0, 69
What is k in 5*k**2 + 115*k + 630 = 0?
-14, -9
Solve -4*l**4 - 4*l**3 + 68*l**2 + 84*l - 144 = 0.
-3, 1, 4
Factor -y**4/6 + 13*y**3/6 + 49*y**2/2 + 141*y/2 + 63.
-(y - 21)*(y + 2)*(y + 3)**2/6
Factor -3*n**4/4 + 9*n**3/4 + 12*n**2 + 9*n.
-3*n*(n - 6)*(n + 1)*(n + 2)/4
Find t, given that -t**2 - 64*t = 0.
-64, 0
Suppose -2*g**2/5 - 26*g/3 - 28/5 = 0. What is g?
-21, -2/3
Find c, given that 2*c**4 + 630*c**3 - 6*c**2 - 1886*c + 1260 = 0.
-315, -2, 1
Factor -3*i**2 + 6747*i - 13482.
-3*(i - 2247)*(i - 2)
Find w such that 2*w**2/5 - 2614*w/5 = 0.
0, 1307
Factor 2*j**4/17 - 4*j**3/17 - 58*j**2/17 + 60*j/17.
2*j*(j - 6)*(j - 1)*(j + 5)/17
Factor -3*j**3/7 - 264*j**2 - 1845*j/7.
-3*j*(j + 1)*(j + 615)/7
Factor -3*y**2/5 + 18*y - 87/5.
-3*(y - 29)*(y - 1)/5
Suppose -3*k**5/8 - 75*k**4/8 - 135*k**3/2 - 285*k**2/2 - 84*k = 0. Calculate k.
-14, -8, -2, -1, 0
What is s in -2*s**2/3 + 68*s + 210 = 0?
-3, 105
Factor 2*y**5 - 292*y**4 + 284*y**3 + 880*y**2 - 1454*y + 580.
2*(y - 145)*(y - 1)**3*(y + 2)
Determine o so that o**2/2 - 167*o/2 - 342 = 0.
-4, 171
Suppose 3*u**2/7 - 99*u/7 + 114 = 0. Calculate u.
14, 19
Let -35*w**5/2 + 75*w**4 + 65*w**3/2 - 260*w**2 + 210*w - 40 = 0. Calculate w.
-2, 2/7, 1, 4
Determine t so that -9*t**2/2 + 123*t/4 + 21/4 = 0.
-1/6, 7
Factor 529*a**3/3 + 11201*a**2/3 + 1936*a/3 + 28.
(a + 21)*(23*a + 2)**2/3
Suppose 2*g**2/7 + 720*g/7 + 718/7 = 0. Calculate g.
-359, -1
Determine g so that 16*g**4/7 - 4*g**3 - 264*g**2/7 + 64*g + 128/7 = 0.
-4, -1/4, 2, 4
Factor v**4/2 + 55*v**3/2 + 969*v**2/2 + 4693*v/2 - 6859.
(v - 2)*(v + 19)**3/2
Factor 3*u**3/4 + 333*u**2/2 + 663*u/4.
3*u*(u + 1)*(u + 221)/4
Find q, given that q**4/8 - 87*q**3/4 + 2523*q**2/2 - 24389*q = 0.
0, 58
Factor -4*s**2 - 40*s + 156.
-4*(s - 3)*(s + 13)
Determine j, given that j**2 - 3*j + 2 = 0.
1, 2
Solve -3*v**3 + 78*v**2 - 75*v = 0.
0, 1, 25
Factor -m**2 - 17*m - 52.
-(m + 4)*(m + 13)
Factor 3*c**4 - 42*c**3 + 180*c**2 - 216*c.
3*c*(c - 6)**2*(c - 2)
Factor -2*v**2/7 + 50*v.
-2*v*(v - 175)/7
Factor -f**3 + 407*f**2 - 811*f + 405.
-(f - 405)*(f - 1)**2
Factor -2*b**3/3 + 542*b - 1624/3.
-2*(b - 28)*(b - 1)*(b + 29)/3
Solve h**2/2 + 37*h/3 + 8 = 0 for h.
-24, -2/3
Factor 4*m**4 - 12*m**2 - 8*m.
4*m*(m - 2)*(m + 1)**2
Factor -18*n**2 + 28*n + 16.
-2*(n - 2)*(9*n + 4)
Let 3*w**5/7 + 18*w**4/7 + 39*w**3/7 + 36*w**2/7 + 12*w/7 = 0. Calculate w.
-2, -1, 0
Let 15*m**4 - 267*m**3 + 1161*m**2 + 243*m = 0. What is m?
-1/5, 0, 9
Let j**4 + 151*j**3 - 152*j**2 = 0. What is j?
-152, 0, 1
Let -2*b**5 + 50*b**4 - 228*b**3 = 0. What is b?
0, 6, 19
Solve -4*r**4/7 + 480*r**3/7 - 21600*r**2/7 + 432000*r/7 - 3240000/7 = 0 for r.
30
Solve 67*t**3/4 - 601*t**2/4 - 9*t/2 = 0 for t.
-2/67, 0, 9
Find o, given that 2*o**4/5 + 24*o**3/5 + 42*o**2/5 - 196*o/5 = 0.
-7, 0, 2
Factor 3*g**5/2 - 9*g**4/2 - 6*g**3.
3*g**3*(g - 4)*(g + 1)/2
Suppose -2*b**4/5 + 96*b**3/5 - 442*b**2/5 + 516*b/5 = 0. What is b?
0, 2, 3, 43
Determine t, given that -3*t**3 - 7*t**2 + 26*t = 0.
-13/3, 0, 2
Solve p**5/2 - 7*p**4/4 + p**3/4 + 7*p**2/4 - 3*p/4 = 0 for p.
-1, 0, 1/2, 1, 3
Let -q**4/6 - 3*q**3/2 - 4*q**2/3 = 0. Calculate q.
-8, -1, 0
Determine h so that -102*h**2 + 315*h - 27 = 0.
3/34, 3
Let -g**3 - 21*g**2 - 39*g - 19 = 0. What is g?
-19, -1
Find s, given that 2*s**4/17 - 10*s**3 + 330*s**2/17 + 10*s - 332/17 = 0.
-1, 1, 2, 83
Solve 35*b**2 - 515*b - 150 = 0 for b.
-2/7, 15
Factor 10*v**5 - 24*v**4 + 8*v**3 + 20*v**2 - 18*v + 4.
2*(v - 1)**3*(v + 1)*(5