/3 + 83*v**3/3 - 4*v**2/3 - 244*v/3 - 160/3 = 0.
-8, -1, 2, 10
Let 5*t**3 - 185*t**2 - 5*t + 185 = 0. Calculate t.
-1, 1, 37
Determine h so that -3*h**5 + 36*h**4 - 24*h**3 - 102*h**2 + 27*h + 66 = 0.
-1, 1, 2, 11
Factor 10*a**4 - 226*a**3 - 98*a**2 + 138*a.
2*a*(a - 23)*(a + 1)*(5*a - 3)
Suppose 14*w**2/9 - 34*w/9 - 16/3 = 0. Calculate w.
-1, 24/7
Determine z, given that -2*z**2/5 + 8*z = 0.
0, 20
Factor 3*r**5 + 1020*r**4 - 8298*r**3 + 18744*r**2 - 16689*r + 5220.
3*(r - 5)*(r - 1)**3*(r + 348)
Find z, given that 9*z**4 - 93*z**3 - 1434*z**2 - 912*z = 0.
-8, -2/3, 0, 19
Factor -5*k**3 + 980*k**2 - 48020*k.
-5*k*(k - 98)**2
Factor -x**5 - 9*x**4 + 70*x**3 + 1150*x**2 + 4875*x + 6875.
-(x - 11)*(x + 5)**4
Factor -3*a**4 + 57*a**2 + 18*a - 216.
-3*(a - 4)*(a - 2)*(a + 3)**2
Factor 5*i**2 + 17845*i - 17850.
5*(i - 1)*(i + 3570)
Factor 4*q**3 + 128*q**2 + 464*q + 448.
4*(q + 2)**2*(q + 28)
Determine f so that -16*f**2 - 2300*f + 576 = 0.
-144, 1/4
Determine i, given that -i**3/5 - 8*i**2/5 - 4*i - 16/5 = 0.
-4, -2
Factor -3*y**2 + 957*y + 960.
-3*(y - 320)*(y + 1)
Solve i**3 + 79*i**2 - 161*i + 81 = 0 for i.
-81, 1
What is u in -2*u**5/7 + 18*u**4/7 - 62*u**3/7 + 102*u**2/7 - 80*u/7 + 24/7 = 0?
1, 2, 3
Determine d, given that -32*d**5 - 304*d**4 - 914*d**3 - 914*d**2 - 304*d - 32 = 0.
-4, -1, -1/4
Suppose 2*t**2 - 54*t - 3080 = 0. What is t?
-28, 55
Let 60*q**5 - 100*q**4 - 5*q**3 + 30*q**2 = 0. What is q?
-1/2, 0, 2/3, 3/2
Solve 4*p**5/5 - 62*p**4/5 + 182*p**3/5 - 172*p**2/5 + 48*p/5 = 0.
0, 1/2, 1, 2, 12
Find i such that -188180*i**3 + 70325*i**2 - 6540*i + 180 = 0.
6/97, 1/4
Factor -c**2 + 24*c - 23.
-(c - 23)*(c - 1)
Solve -6241*c**5/3 + 18407*c**4/3 - 17779*c**3/3 + 5305*c**2/3 + 304*c/3 + 4/3 = 0.
-2/79, 1
Suppose 2*n**2 - 74*n - 3640 = 0. Calculate n.
-28, 65
Solve o**2/9 + 181*o/9 + 20 = 0 for o.
-180, -1
Find v such that -2*v**3 - 12*v**2 + 170*v - 156 = 0.
-13, 1, 6
Factor -4*d**2/3 - 8*d - 12.
-4*(d + 3)**2/3
Factor 3*p**3 - 306*p**2 + 10404*p - 117912.
3*(p - 34)**3
Let -6*v**2/7 + 17*v/7 - 10/7 = 0. Calculate v.
5/6, 2
Determine t, given that 2*t**2/3 + 2822*t/3 - 2824/3 = 0.
-1412, 1
Factor -5*i**3 + 225*i**2 - 435*i + 215.
-5*(i - 43)*(i - 1)**2
Find y such that -2*y**3 - 45*y**2 - 136*y - 57 = 0.
-19, -3, -1/2
Suppose -21*j**5 - 183*j**4 - 582*j**3 - 834*j**2 - 549*j - 135 = 0. What is j?
-3, -1, -5/7
Suppose -3*u**3/4 + 37*u**2/4 + 29*u + 15 = 0. What is u?
-2, -2/3, 15
Solve -3*q**4/5 + 66*q**3/5 + 468*q**2/5 + 984*q/5 + 672/5 = 0.
-2, 28
Solve -3*c**2 - 24*c - 48 = 0 for c.
-4
Factor 3*y**5 - 501*y**4 + 20154*y**3 + 63498*y**2 + 64515*y + 21675.
3*(y - 85)**2*(y + 1)**3
Let -l**2 - 17*l - 52 = 0. Calculate l.
-13, -4
Factor -g**3/7 - 9*g**2/7 + 82*g/7 - 120/7.
-(g - 4)*(g - 2)*(g + 15)/7
Factor 7*p**2/8 + 1101*p/8 + 157/4.
(p + 157)*(7*p + 2)/8
Factor -h**2/4 - 4*h - 16.
-(h + 8)**2/4
Determine f, given that f**3/2 + 145*f**2/2 - 593*f/2 + 447/2 = 0.
-149, 1, 3
Factor 3*t**3/4 - 27*t**2/4 + 27*t/2.
3*t*(t - 6)*(t - 3)/4
Factor -x**4 + 4*x**3 + 21*x**2 + 4*x - 28.
-(x - 7)*(x - 1)*(x + 2)**2
Find f such that -f**2/3 + 832*f/3 - 173056/3 = 0.
416
Factor -2*j**3 + 472*j**2 - 470*j.
-2*j*(j - 235)*(j - 1)
Factor 2*g**5/7 - 20*g**4/7 + 66*g**3/7 - 80*g**2/7 + 32*g/7.
2*g*(g - 4)**2*(g - 1)**2/7
Suppose -2*c**4/5 + 2*c**3/5 + 2*c**2/5 - 2*c/5 = 0. Calculate c.
-1, 0, 1
What is b in -2*b**4/9 + 112*b**3/3 - 334*b**2/9 = 0?
0, 1, 167
Solve 12*x**3 + 68*x**2 + 72*x - 32 = 0 for x.
-4, -2, 1/3
Factor 4*n**4 - 40*n**3 + 64*n**2.
4*n**2*(n - 8)*(n - 2)
Let 3*u**4 + 30*u**3 + 99*u**2 + 120*u + 48 = 0. What is u?
-4, -1
Factor -2*r**5 - 36*r**4 - 204*r**3 - 416*r**2 - 354*r - 108.
-2*(r + 1)**3*(r + 6)*(r + 9)
Factor -3*d**3/5 + 849*d**2/5 - 1686*d/5.
-3*d*(d - 281)*(d - 2)/5
Factor 4*r**3/7 - 48*r/7 + 64/7.
4*(r - 2)**2*(r + 4)/7
What is l in -3*l**2 - 12*l + 36 = 0?
-6, 2
Let 2*y**3/3 - 4*y**2 = 0. Calculate y.
0, 6
Suppose 7*w**5/2 + 6*w**4 - 25*w**3/2 - 25*w**2 - 6*w + 4 = 0. What is w?
-2, -1, 2/7, 2
Factor -d**2/4 - 523*d/4 - 521/2.
-(d + 2)*(d + 521)/4
What is o in 2*o**2/3 + 33*o/2 + 12 = 0?
-24, -3/4
Factor -f**2/6 + 545*f - 891075/2.
-(f - 1635)**2/6
Factor 5*d**4 + 130*d**3 + 345*d**2 - 20*d - 460.
5*(d - 1)*(d + 2)**2*(d + 23)
Let 4*r**2 + 16*r + 12 = 0. Calculate r.
-3, -1
Factor 2*a**3 + 1096*a**2 + 151242*a + 298116.
2*(a + 2)*(a + 273)**2
Factor 4*i**3 - 168*i**2 + 1380*i + 8464.
4*(i - 23)**2*(i + 4)
Let 16*b**5 + 172*b**4 - 60*b**3 - 172*b**2 + 44*b = 0. What is b?
-11, -1, 0, 1/4, 1
Factor -b**5/6 + 16*b**4/3 - 15*b**3 + 44*b**2/3 - 29*b/6.
-b*(b - 29)*(b - 1)**3/6
Factor 3*g**2 - 57*g/5 - 12/5.
3*(g - 4)*(5*g + 1)/5
Factor 3*g**2 - 117*g - 120.
3*(g - 40)*(g + 1)
Factor 2*z**5/9 - 20*z**4 - 122*z**3/3 - 184*z**2/9.
2*z**2*(z - 92)*(z + 1)**2/9
Factor -4*z**4 - 160*z**3 - 2200*z**2 - 12000*z - 22500.
-4*(z + 5)**2*(z + 15)**2
Factor 64*y**3 - 224*y**2 - 59*y - 15/4.
(4*y - 15)*(8*y + 1)**2/4
Factor 4*f**3 - 12*f**2 - 3456*f + 42768.
4*(f - 18)**2*(f + 33)
Let 5*p**5 + 45*p**4 + 40*p**3 = 0. Calculate p.
-8, -1, 0
Suppose -2*x**4 + 18*x**3 + 24*x**2 - 40*x = 0. What is x?
-2, 0, 1, 10
Suppose -2*m**4/9 + 14*m**3/9 - 28*m**2/9 + 16*m/9 = 0. Calculate m.
0, 1, 2, 4
Factor -5*c**4 + 590*c**3 - 16805*c**2 - 35400*c - 18000.
-5*(c - 60)**2*(c + 1)**2
Let -r**3/9 - 11*r**2/3 - 121*r/3 - 1331/9 = 0. Calculate r.
-11
Factor -3*j**2/7 + 63*j + 444/7.
-3*(j - 148)*(j + 1)/7
Let 4*j**3/7 + 4*j**2/7 = 0. Calculate j.
-1, 0
Factor -3*v**3 - 77*v**2 + 107*v - 27.
-(v - 1)*(v + 27)*(3*v - 1)
Factor -9*t**3/5 + 3832*t**2/5 + 852*t/5.
-t*(t - 426)*(9*t + 2)/5
Find o such that -3*o**5 - 150*o**4 - 1059*o**3 - 2172*o**2 - 1260*o = 0.
-42, -5, -2, -1, 0
Factor -4*v**2 - 156*v + 160.
-4*(v - 1)*(v + 40)
Factor 4*v**2 + 36*v + 80.
4*(v + 4)*(v + 5)
Solve -5*v**2 + 22090*v - 24398405 = 0 for v.
2209
Find v, given that 3*v**3/5 + 2817*v**2/5 - 564*v = 0.
-940, 0, 1
Factor -5*h**2 + 4515*h - 4510.
-5*(h - 902)*(h - 1)
Factor y**3/4 + 86*y**2 + 7221*y - 30276.
(y - 4)*(y + 174)**2/4
Let -5*v**2 + 615*v = 0. What is v?
0, 123
Factor 4*l**2 - 348*l - 1840.
4*(l - 92)*(l + 5)
Factor 3*d**2 - 594*d + 1176.
3*(d - 196)*(d - 2)
Factor -2*v**3 - 16*v**2 - 24*v.
-2*v*(v + 2)*(v + 6)
Determine q, given that 324*q**5 - 2412*q**4 + 1024*q**3 - 112*q**2 = 0.
0, 2/9, 7
Solve 2*j**4/13 - 4*j**3/13 = 0 for j.
0, 2
Factor -z**3 + 304*z**2.
-z**2*(z - 304)
Factor 3*o**3/4 - 6*o**2 - 33*o/4 + 27/2.
3*(o - 9)*(o - 1)*(o + 2)/4
Determine m so that -1224*m**4/11 + 448*m**3/11 + 106*m**2/11 - 12*m/11 = 0.
-2/9, 0, 3/34, 1/2
Let -2*p**3 - 18*p**2 + 2*p + 18 = 0. Calculate p.
-9, -1, 1
Factor -3*r**3/7 + 111*r**2/7 + 285*r + 1071.
-3*(r - 51)*(r + 7)**2/7
Find f, given that 2*f**3/9 - 350*f**2/9 + 1376*f/9 - 152 = 0.
2, 171
What is h in 4*h**2 + 188*h + 184 = 0?
-46, -1
Factor -y**3/4 + y**2 + 19*y/4 + 7/2.
-(y - 7)*(y + 1)*(y + 2)/4
Factor -2*h**2/9 + 140*h - 22050.
-2*(h - 315)**2/9
What is p in p**2/4 - 3*p - 325/4 = 0?
-13, 25
Let f**3/2 + 2001*f**2/2 + 1334667*f/2 + 296740963/2 = 0. What is f?
-667
Factor x**3/2 - 31*x**2/2 - x/2 + 31/2.
(x - 31)*(x - 1)*(x + 1)/2
What is j in j**2 + 94*j + 273 = 0?
-91, -3
Determine t so that 4*t**4 + 152*t**3 + 2004*t**2 + 10640*t + 19600 = 0.
-14, -5
Suppose 3*l**5/4 - 4*l**4 + 31*l**3/4 - 13*l**2/2 + 2*l = 0. Calculate l.
0, 1, 4/3, 2
Find h, given that -h**2/3 - 5*h/3 + 78 = 0.
-18, 13
Find t, given that -4*t**4/7 + 4*t**3 - 40*t**2/7 = 0.
0, 2, 5
Factor 2*q**2/9 - 10*q/9 + 4/3.
2*(q - 3)*(q - 2)/9
Solve 21*d**5/2 - 162*d**4 + 849*d**3 - 1560*d**2 + 225*d/2 + 750 = 0 for d.
-4/7, 1, 5
Factor p**3/2 - 25*p**2 + 97*p/2 - 24.
(p - 48)*(p - 1)**2/2
Factor 3*l**4 + 39*l**3 + 69*l**2 + 33*l.
3*l*(l + 1)**2*(l + 11)
Factor 3*j**4 - 99*j**3 - 594*j**2 + 768*j + 5472.
3*(j - 38)*(j - 3)*(j + 4)**2
What is a in -4*a**4 - 12*a**3 + 40*a**2 + 96*a = 0?
-4, -2, 0, 3
Factor 4*w**4 - 2100*w**3 - 6324*w**2 - 6332*w - 2112.
4*(w - 528)*(w + 1)**3
Determine r, given that -2*r**2/7 - 6*r - 40/7 = 0.
-20, -1
Factor -2*g**2 + 730*g + 1468.
-2*(g - 367)*(g + 2)
Factor t**5/2 - 68*t**4 - 983*t**3/2 - 1277*t**2 - 1426*t - 572.
(t - 143)*(t + 1)*(t + 2)**3/2
Factor -2*r**2/9 - 28*r/9 + 64/9.
-2*(r - 2)*(r + 16)/9
Find r such that -5*r**5/9 - 73*r**4