= 0 for d.
1906
Factor 8*r**3 + 164*r**2 + 848*r + 384.
4*(r + 8)*(r + 12)*(2*r + 1)
Factor 2*j**2/3 - 236*j/3 + 78.
2*(j - 117)*(j - 1)/3
Let 5*a**4 - 320*a**3 + 2550*a**2 - 4160*a + 1925 = 0. Calculate a.
1, 7, 55
Let -20*y**3 + 45*y**2 + 605*y + 420 = 0. What is y?
-4, -3/4, 7
Factor 2*v**2 + 50*v + 168.
2*(v + 4)*(v + 21)
Factor -5*k**2 - 370*k - 1400.
-5*(k + 4)*(k + 70)
Factor y**5/4 + 9*y**4/4 + 23*y**3/4 - 9*y**2/4 - 27*y - 27.
(y - 2)*(y + 2)*(y + 3)**3/4
Solve -4*i**2 + 15*i + 25 = 0 for i.
-5/4, 5
Suppose -3*a**3 + 1380*a**2 - 6807*a - 8190 = 0. What is a?
-1, 6, 455
Solve -g**3/2 + 133*g**2/2 = 0.
0, 133
Factor -a**3/3 - 7*a**2 - 38*a/3.
-a*(a + 2)*(a + 19)/3
Determine n so that 3*n**3 - 72*n**2 - 8073*n - 111090 = 0.
-23, 70
Solve -f**4/4 + 195*f**3/4 + 197*f**2/2 = 0.
-2, 0, 197
Suppose -s**5/5 - 7*s**4/5 + 192*s**3/5 - 684*s**2/5 = 0. Calculate s.
-19, 0, 6
Let 3*v**3 - 12*v**2 = 0. Calculate v.
0, 4
Factor -o**4/2 - o**3/2 + 13*o**2 - 12*o.
-o*(o - 4)*(o - 1)*(o + 6)/2
Factor 3*i**2 + 891*i - 894.
3*(i - 1)*(i + 298)
Factor -2*x**3 - 22*x**2 - 20*x.
-2*x*(x + 1)*(x + 10)
Factor 3*i**2 + 69*i + 336.
3*(i + 7)*(i + 16)
Determine a so that a**4 - 23*a**3 + 43*a**2 - 21*a = 0.
0, 1, 21
Let 3*r**4 - 69*r**3 + 354*r**2 + 576*r - 864 = 0. What is r?
-2, 1, 12
Suppose 4*g**2/9 - 4*g/3 + 8/9 = 0. Calculate g.
1, 2
Factor -2*m**2/7 - 800*m/7 + 802/7.
-2*(m - 1)*(m + 401)/7
Factor -b**2/2 - 64*b + 130.
-(b - 2)*(b + 130)/2
Determine u, given that 5*u**3 - 455*u**2 + 890*u = 0.
0, 2, 89
What is b in b**4/3 + b**3 - 11*b**2 - 35*b/3 = 0?
-7, -1, 0, 5
Find t, given that -1058*t**4 + 19550*t**3 - 25556*t**2 - 17400*t - 2448 = 0.
-6/23, 2, 17
Suppose 3*o**3 - 45*o**2 + 144*o + 192 = 0. What is o?
-1, 8
Factor -2*p**2/3 + 10*p/3 + 44.
-2*(p - 11)*(p + 6)/3
Determine y so that 2*y**5/5 - 52*y**4/5 + 338*y**3/5 = 0.
0, 13
Factor -18*m**2 - 610*m + 68.
-2*(m + 34)*(9*m - 1)
Solve -2*o**2/7 + 786*o/7 + 788/7 = 0.
-1, 394
Let -2*o**3/7 - 20*o**2/7 - 8*o - 48/7 = 0. Calculate o.
-6, -2
Find m such that 8*m**4/13 - 634*m**3/13 + 326*m**2 - 4476*m/13 + 864/13 = 0.
1/4, 1, 6, 72
Factor y**5/3 + 5*y**4 + 21*y**3 + 49*y**2/3.
y**2*(y + 1)*(y + 7)**2/3
Factor -b**2 + 46*b - 168.
-(b - 42)*(b - 4)
Factor 2*x**2 - 326*x + 324.
2*(x - 162)*(x - 1)
Let 28*q**4 - 888*q**3 + 612*q**2 + 248*q = 0. What is q?
-2/7, 0, 1, 31
Determine f so that f**3 - 11*f**2 + 15*f + 27 = 0.
-1, 3, 9
Factor -12*o**2 - 1408*o - 468.
-4*(o + 117)*(3*o + 1)
Determine a, given that -a**5/4 - 5*a**4/2 - 9*a**3/4 = 0.
-9, -1, 0
Factor 9*u**2/2 + 165*u/2 - 57.
3*(u + 19)*(3*u - 2)/2
Solve -p**3 - 36*p**2 - 131*p - 96 = 0.
-32, -3, -1
Suppose v**3/4 + 17*v**2 + 197*v/4 + 65/2 = 0. Calculate v.
-65, -2, -1
Factor 53925088*z**3 - 12914832*z**2 + 1031016*z - 27436.
4*(238*z - 19)**3
Solve 3*h**3 + 237*h**2/2 + 2217*h/2 + 525 = 0.
-25, -14, -1/2
Determine s, given that s**2/5 + 21*s/5 + 98/5 = 0.
-14, -7
Determine f, given that f**2/3 + 40*f - 244/3 = 0.
-122, 2
Let 2*v**3 + 2*v**2 = 0. Calculate v.
-1, 0
Determine b, given that -98*b**3/3 + 10808*b**2/3 - 275200*b/3 - 1280000/3 = 0.
-4, 400/7
Solve -5*g**4 - 45*g**3 - 150*g**2 - 220*g - 120 = 0.
-3, -2
Let 2*m**2 + 234*m - 236 = 0. Calculate m.
-118, 1
Let -4*s**5 + 124*s**4 - 456*s**3 + 664*s**2 - 436*s + 108 = 0. What is s?
1, 27
Solve -s**2/10 - 137*s/5 - 18769/10 = 0.
-137
Suppose 5*l**4 + 160*l**3 + 150*l**2 - 20160*l + 19845 = 0. Calculate l.
-21, 1, 9
Suppose 18690*v**2/11 + 7466*v/11 - 4/11 = 0. What is v?
-2/5, 1/1869
Factor -2*w**2 + 3*w - 1.
-(w - 1)*(2*w - 1)
Solve -2*b**2/3 + 994*b/3 + 1996/3 = 0 for b.
-2, 499
Factor -2*u**4/19 - 112*u**3/19 + 6*u**2.
-2*u**2*(u - 1)*(u + 57)/19
Determine s, given that s**2/4 - 27*s/4 = 0.
0, 27
Find i such that 5*i**2 - 255*i + 250 = 0.
1, 50
Suppose r**3 - 6*r**2 + 5*r = 0. Calculate r.
0, 1, 5
Solve 5*z**4/3 - 86*z**3/3 + 139*z**2 - 580*z/3 + 100/3 = 0.
1/5, 2, 5, 10
Suppose 2*n**5 - 262*n**4 - 1620*n**3 - 3272*n**2 - 2192*n = 0. What is n?
-2, 0, 137
Factor 3*d**2 + 810*d + 54675.
3*(d + 135)**2
Factor r**2/7 + 5*r/7 + 6/7.
(r + 2)*(r + 3)/7
Factor 2*x**4/9 - 2*x**3 + 26*x**2/9 + 10*x - 100/9.
2*(x - 5)**2*(x - 1)*(x + 2)/9
Factor -3*c**4/2 + 6*c**3 + 3*c**2/2 - 6*c.
-3*c*(c - 4)*(c - 1)*(c + 1)/2
Factor -5*p**3 - 447*p**2 - 2668*p - 996.
-(p + 6)*(p + 83)*(5*p + 2)
Let -4*g**3/7 + 4*g**2/7 + 64*g/7 + 80/7 = 0. What is g?
-2, 5
Find y, given that y**2/7 + 37*y/7 + 36/7 = 0.
-36, -1
Factor -a**3/7 + 29*a**2/7 + 30*a/7.
-a*(a - 30)*(a + 1)/7
Solve -4*f**5 + 1604*f**4 - 164748*f**3 + 788796*f**2 - 456192*f - 1411344 = 0 for f.
-1, 3, 198
Factor -y**4 - 88*y**3 - 2304*y**2 - 24192*y - 89856.
-(y + 12)**3*(y + 52)
Factor -147*q**3/4 + q**2/2.
-q**2*(147*q - 2)/4
Determine r, given that 4*r**4 + 188*r**3 + 1444*r**2 - 18252*r + 29160 = 0.
-27, 2, 5
Factor 4*o**3 - 824*o**2 + 1636*o - 816.
4*(o - 204)*(o - 1)**2
Factor 2*s**2 + 434*s - 436.
2*(s - 1)*(s + 218)
Factor 10*v**2 - 25386*v - 10156.
2*(v - 2539)*(5*v + 2)
Find y, given that 4*y**5 - 16*y**4 - 80*y**3 + 392*y**2 - 500*y + 200 = 0.
-5, 1, 2, 5
Determine m so that -3*m**4/5 - 42*m**3 + 891*m**2/5 + 42*m - 888/5 = 0.
-74, -1, 1, 4
What is l in 2*l**4 - 4*l**3 - 8*l**2 + 4*l + 6 = 0?
-1, 1, 3
Factor -5*i**4/2 + 14*i**3 + 47*i**2/2 + 7*i.
-i*(i - 7)*(i + 1)*(5*i + 2)/2
Factor 3*d**5 + 12*d**4 + 6*d**3 - 12*d**2 - 9*d.
3*d*(d - 1)*(d + 1)**2*(d + 3)
Factor 3*h**2/4 + 15*h/4 - 21/2.
3*(h - 2)*(h + 7)/4
Let 6*s**5/11 + 106*s**4/11 + 578*s**3/11 + 98*s**2 + 816*s/11 + 216/11 = 0. What is s?
-9, -6, -1, -2/3
Factor 4*z**2 - 772*z + 768.
4*(z - 192)*(z - 1)
Determine r so that -4*r**5 - 4*r**4 + 40*r**3 + 40*r**2 - 36*r - 36 = 0.
-3, -1, 1, 3
Solve -245*o**4 + 1120*o**3 - 1560*o**2 + 640*o - 80 = 0 for o.
2/7, 2
Factor 2*h**3/9 + 10*h**2/3 - 200*h/9.
2*h*(h - 5)*(h + 20)/9
Let 2*x**2 + 14*x + 20 = 0. Calculate x.
-5, -2
Determine r so that 2*r**4/7 + 78*r**3/7 - 96*r**2/7 - 88*r + 960/7 = 0.
-40, -3, 2
Find a, given that 2*a**2/5 - 108*a/5 = 0.
0, 54
Determine w so that -2*w**2/3 - 130*w/3 + 44 = 0.
-66, 1
Solve 18325246656*p**4/7 - 36620419056*p**3/7 - 60132060*p**2/7 - 32901*p/7 - 6/7 = 0.
-1/1828, 2
Solve 3*s**2/8 + 153*s/8 + 75/4 = 0 for s.
-50, -1
Solve 3*j**4 - 858*j**3 + 2547*j**2 + 12*j - 3396 = 0 for j.
-1, 2, 283
Factor -2*d**3/9 - 20*d**2/9 + 26*d/9 + 44/9.
-2*(d - 2)*(d + 1)*(d + 11)/9
Factor -3*y**2/5 - 84*y/5 + 87/5.
-3*(y - 1)*(y + 29)/5
Suppose -b**2/6 - 20*b/3 + 41/6 = 0. What is b?
-41, 1
Factor 8*u**3 + 12*u**2 - 36*u.
4*u*(u + 3)*(2*u - 3)
Let -6*i**3/11 - 104*i**2/11 + 194*i/11 + 76/11 = 0. Calculate i.
-19, -1/3, 2
Factor -3*b**3/5 - 3*b**2 - 21*b/5 - 9/5.
-3*(b + 1)**2*(b + 3)/5
Solve -2*p**3/5 - 14*p**2/5 - 4*p = 0.
-5, -2, 0
Let -12*q**4 + 164*q**3 - 680*q**2 + 816*q - 288 = 0. Calculate q.
2/3, 1, 6
Determine x, given that 20*x**4 - 1185*x**3 + 295*x**2 = 0.
0, 1/4, 59
Factor l**2 + 12*l.
l*(l + 12)
Factor 2*v**4 + 13*v**3 - 203*v**2 + 98*v.
v*(v - 7)*(v + 14)*(2*v - 1)
Factor -11*r**2/2 - 52*r - 45/2.
-(r + 9)*(11*r + 5)/2
Find r such that r**4/2 - 5*r**2/2 + 2 = 0.
-2, -1, 1, 2
Determine l, given that -l**3/5 + 99*l**2/5 - 1944*l/5 - 26244/5 = 0.
-9, 54
Determine i, given that 2*i**4/5 + 2*i**3/5 - 8*i**2/5 - 8*i/5 = 0.
-2, -1, 0, 2
What is h in -5*h**3 + 270*h**2 - 4620*h + 25480 = 0?
14, 26
Factor -2*l**3/13 + 8*l**2/13 + 38*l/13 + 28/13.
-2*(l - 7)*(l + 1)*(l + 2)/13
Factor -r**2/2 - 126*r - 7938.
-(r + 126)**2/2
Find i, given that -128*i**4/7 - 416*i**3/7 + 366*i**2/7 - 72*i/7 = 0.
-4, 0, 3/8
Factor s**3/12 - s**2/12 - 7*s/2.
s*(s - 7)*(s + 6)/12
Suppose -3*m**5/2 + 15*m**4 - 21*m**3 - 96*m**2 + 261*m/2 + 189 = 0. Calculate m.
-2, -1, 3, 7
Suppose 4*o**5/3 + 28*o**4/3 + 20*o**3/3 - 28*o**2/3 - 8*o = 0. What is o?
-6, -1, 0, 1
Suppose -3*m**3/2 + 21*m**2/2 + 123*m/2 + 99/2 = 0. Calculate m.
-3, -1, 11
Factor -2*i**3/5 + 16*i**2/5 - 32*i/5.
-2*i*(i - 4)**2/5
Suppose -r**2/3 - 50*r/3 - 625/3 = 0. Calculate r.
-25
Determine m so that m**3/3 - 140*m**2/3 + 5168*m/3 - 18496/3 = 0.
4, 68
Find v such that -v**3/2 - 88*v**2 - 7917*v/2 - 7569 = 0.
-87, -2
Factor -3*g**2/5 + 14256*g/5 - 16936128/5.
-3*(g - 2376)**2/5
What is o in 4*o**3 - 20*o**2 + 32*o - 16 = 0?
1, 2
What is s in -4*s**4/5 - 1792*s**3/5 - 198904*s**2/5 + 