 2, 3
Suppose -2*u**5 + 40*u**4 + 96*u**3 - 172*u**2 - 94*u + 132 = 0. Calculate u.
-3, -1, 1, 22
Factor -4*g**4/7 + 4*g**3/7 + 148*g**2/7 + 20*g.
-4*g*(g - 7)*(g + 1)*(g + 5)/7
Solve 3*o**5 + 24*o**4 + 45*o**3 - 12*o**2 - 60*o = 0.
-5, -2, 0, 1
Factor -2*d**4/9 + 22*d**3/3 - 242*d**2/3 + 2662*d/9.
-2*d*(d - 11)**3/9
Solve -5*b**3 - 5*b**2 + 20*b + 20 = 0 for b.
-2, -1, 2
Solve d**5/3 - d**4 + d**3 - d**2/3 = 0.
0, 1
Factor 4*n**3 - 3180*n**2 + 630432*n + 633616.
4*(n - 398)**2*(n + 1)
Factor -m**3 + 5*m**2 + 14*m.
-m*(m - 7)*(m + 2)
Find l such that 5*l**5 + 5*l**4 - 30*l**3 + 10*l**2 + 25*l - 15 = 0.
-3, -1, 1
Solve 2*g**5/3 + 58*g**4/3 + 166*g**3 + 1406*g**2/3 + 1540*g/3 + 192 = 0.
-16, -9, -2, -1
Factor 25*i**4 - 720*i**3 + 5439*i**2 - 4012*i + 780.
(i - 15)*(i - 13)*(5*i - 2)**2
Factor -36*n**2 + 148*n - 112.
-4*(n - 1)*(9*n - 28)
Factor -f**4 - 3*f**3 + 24*f**2 - 28*f.
-f*(f - 2)**2*(f + 7)
Suppose x**3 - 8*x**2 - 44*x - 48 = 0. Calculate x.
-2, 12
Find j, given that j**5/8 - 3*j**4/8 - j**3 + 3*j**2/2 + 2*j = 0.
-2, -1, 0, 2, 4
Solve 5*l**5 + 540*l**4 - 1120*l**3 - 2160*l**2 + 4400*l = 0.
-110, -2, 0, 2
Solve 2*d**2/13 - 40*d/13 - 448/13 = 0.
-8, 28
Find r such that r**3/2 + r**2/2 - 29*r - 56 = 0.
-7, -2, 8
Factor -4*s**5 + 336*s**4 - 2496*s**3 + 4864*s**2.
-4*s**2*(s - 76)*(s - 4)**2
Solve -12*w**3 - 58*w**2 + 10*w = 0 for w.
-5, 0, 1/6
Factor 3*v**2 + 927*v + 924.
3*(v + 1)*(v + 308)
Solve -16*c**5 + 196*c**4 + 1952*c**3 + 2188*c**2 - 5536*c + 1216 = 0 for c.
-4, 1/4, 1, 19
Find c such that -18*c**3 - 129*c**2 - 122*c + 24 = 0.
-6, -4/3, 1/6
Factor g**3/3 - 286*g**2/3 + 95*g.
g*(g - 285)*(g - 1)/3
Determine t so that t**3 + 1069*t**2 + 4264*t + 4260 = 0.
-1065, -2
Let -3*s**5/7 - 9*s**4/7 + 15*s**3/7 + 9*s**2/7 - 12*s/7 = 0. What is s?
-4, -1, 0, 1
Suppose 2*j**5/3 + 80*j**4/9 + 232*j**3/9 - 92*j**2/3 - 238*j/9 + 196/9 = 0. What is j?
-7, -1, 2/3, 1
Factor x**3/5 + 19*x**2/5 - 9*x - 63/5.
(x - 3)*(x + 1)*(x + 21)/5
Factor 6*g**3 + 526*g**2/3 + 116*g/3.
2*g*(g + 29)*(9*g + 2)/3
Factor -f**5 + 13*f**4 - 42*f**3 + 58*f**2 - 37*f + 9.
-(f - 9)*(f - 1)**4
Determine x so that -3*x**2/2 + 141*x - 6627/2 = 0.
47
Factor -4*z**4 + 128*z**3 + 864*z**2 + 1792*z + 1216.
-4*(z - 38)*(z + 2)**3
Factor -4*w**5 - 148*w**4 + 632*w**3 - 968*w**2 + 652*w - 164.
-4*(w - 1)**4*(w + 41)
Factor 2*q**3/21 + 106*q**2/21 + 450*q/7 - 486/7.
2*(q - 1)*(q + 27)**2/21
Factor 4*k**3 - 412*k**2 + 812*k - 404.
4*(k - 101)*(k - 1)**2
Let -4*y**3 - 4012*y**2 + 24180*y - 36324 = 0. Calculate y.
-1009, 3
Suppose z**4 + 34*z**3/5 - 153*z**2/5 - 622*z/5 - 88 = 0. Calculate z.
-44/5, -2, -1, 5
Factor -2*r**4 + 9*r**3 + 8*r**2 - 15*r.
-r*(r - 5)*(r - 1)*(2*r + 3)
Find q such that q**5/4 - 7*q**4/4 - 21*q**3/4 + 27*q**2/4 = 0.
-3, 0, 1, 9
Let -2*o**2 - 640*o - 51200 = 0. What is o?
-160
Factor 4*p**2 + 1616*p - 1620.
4*(p - 1)*(p + 405)
Suppose 2*l**2 + 708*l - 7280 = 0. Calculate l.
-364, 10
Factor -3*y**4 + 60*y**3 - 246*y**2 + 324*y - 135.
-3*(y - 15)*(y - 3)*(y - 1)**2
Factor 3*v**4 - 3*v**3 - 3*v**2 + 3*v.
3*v*(v - 1)**2*(v + 1)
Factor -y**3/6 + 85*y**2/6 + 173*y/6 + 29/2.
-(y - 87)*(y + 1)**2/6
Factor -2*m**4/3 - 122*m**3/3 - 40*m**2.
-2*m**2*(m + 1)*(m + 60)/3
What is y in -4*y**5 - 8*y**4 + 8*y**3 + 16*y**2 - 4*y - 8 = 0?
-2, -1, 1
Factor -3*n**2 - 1458*n - 177147.
-3*(n + 243)**2
Solve 2*n**5/7 - 10*n**4/7 - 2*n**3 + 10*n**2/7 + 12*n/7 = 0.
-1, 0, 1, 6
Let 1372*u**5 + 2548*u**4 - 4172*u**3 - 3860*u**2 + 6400*u - 2000 = 0. What is u?
-2, 5/7
Suppose -80*b**5 + 1560*b**4 - 7045*b**3 - 11400*b**2 + 62595*b - 45630 = 0. What is b?
-3, 1, 2, 39/4
Find p such that -32*p**4 + 56*p**3 - 36*p**2 + 10*p - 1 = 0.
1/4, 1/2
Determine n, given that n**4/4 - 129*n**3/2 + 16897*n**2/4 - 8256*n + 4096 = 0.
1, 128
Solve 2*m**3 + 208*m**2 + 5194*m - 11236 = 0.
-53, 2
Suppose -5*o**3 - 110*o**2 + 115*o = 0. Calculate o.
-23, 0, 1
Find l, given that 5*l**4/3 - 4970*l**3/3 + 411680*l**2 + 4970*l/3 - 1235045/3 = 0.
-1, 1, 497
Determine j, given that -3*j**4/2 - 9*j**3/2 + 6*j = 0.
-2, 0, 1
Factor -2*m**3/11 + 32*m**2/11 - 30*m/11.
-2*m*(m - 15)*(m - 1)/11
Let -3*h**2 + 15*h - 12 = 0. What is h?
1, 4
Find m such that -m**3/5 + 5*m**2 + 53*m/5 + 27/5 = 0.
-1, 27
Let 5*r**2 - 780*r + 30420 = 0. Calculate r.
78
Solve 15*z**3 + 42*z**2 + 21*z - 6 = 0 for z.
-2, -1, 1/5
Determine q, given that 4*q**2 + 4876*q - 4880 = 0.
-1220, 1
Factor -m**3/4 + 69*m**2 - 275*m/4.
-m*(m - 275)*(m - 1)/4
Solve 363*b**5 - 8217*b**4 + 48885*b**3 - 25323*b**2 - 14256*b - 1452 = 0 for b.
-2/11, 1, 11
Solve -15*d**5/4 - 65*d**4/4 + 65*d**3/4 + 65*d**2/4 - 25*d/2 = 0.
-5, -1, 0, 2/3, 1
Let -3*z**3/4 + 9*z**2/4 - 3*z/2 = 0. Calculate z.
0, 1, 2
Factor -5*d**4 - 1795*d**3 - 160200*d**2 + 162000*d.
-5*d*(d - 1)*(d + 180)**2
Suppose 15*f**5 - 380*f**4 - 1085*f**3 - 970*f**2 - 280*f = 0. What is f?
-1, -2/3, 0, 28
What is d in -d**4/4 - 13*d**3/2 - 85*d**2/4 + 21*d + 99 = 0?
-22, -3, 2
Let -l**4 - 2*l**3 + 16*l**2 + 32*l = 0. What is l?
-4, -2, 0, 4
Let -5*v**2 + 50*v - 125 = 0. What is v?
5
Determine d, given that 4*d**5 + 28*d**4 + 76*d**3 + 100*d**2 + 64*d + 16 = 0.
-2, -1
Let i**2 + 109*i + 108 = 0. Calculate i.
-108, -1
Find p, given that -3*p**2 + 30*p - 75 = 0.
5
Factor -a**2/11 + 50*a/11 - 141/11.
-(a - 47)*(a - 3)/11
Find p such that -2*p**5 + 88*p**4 - 1206*p**3 + 4752*p**2 + 6048*p = 0.
-1, 0, 12, 21
What is l in 2*l**2 - 824*l - 2490 = 0?
-3, 415
Suppose 2*h**3/25 + 16*h**2/25 + 24*h/25 = 0. What is h?
-6, -2, 0
Solve -2*o**4/15 + 4*o**3/15 + 2*o**2/15 - 4*o/15 = 0.
-1, 0, 1, 2
Find m such that 8*m**4 - 56*m**3 + 138*m**2 - 140*m + 50 = 0.
1, 5/2
What is a in -6*a**5/5 + 8*a**4/5 + 88*a**3/5 - 84*a**2/5 - 306*a/5 + 108/5 = 0?
-3, -2, 1/3, 3
Determine p so that 2*p**4/13 - 4*p**3/13 - 8*p**2/13 + 16*p/13 = 0.
-2, 0, 2
Factor -2*s**3 - 68*s**2 + 4030*s.
-2*s*(s - 31)*(s + 65)
What is k in -2*k**5/9 - 2*k**4/9 + 4*k**3/9 + 4*k**2/9 - 2*k/9 - 2/9 = 0?
-1, 1
Let -5*y**4 - 275*y**3 - 245*y**2 + 1335*y - 810 = 0. What is y?
-54, -3, 1
Solve -2*n**3 - 103*n**2/4 - 83*n/4 + 3 = 0.
-12, -1, 1/8
Factor -5*v**2 - 2175*v - 8620.
-5*(v + 4)*(v + 431)
Factor -s**3/5 + 226*s**2/5 + 137*s + 458/5.
-(s - 229)*(s + 1)*(s + 2)/5
Factor 4*q**5 + 888*q**4 + 73472*q**3 + 2659328*q**2 + 33718272*q - 78675968.
4*(q - 2)*(q + 56)**4
Determine q so that 4*q**2 + 8100*q - 8104 = 0.
-2026, 1
Factor 5*p**3/2 + 25*p**2/2 + 15*p.
5*p*(p + 2)*(p + 3)/2
Solve 2*c**5/9 + 10*c**4/3 + 76*c**3/9 + 16*c**2/3 = 0.
-12, -2, -1, 0
Solve -2*s**2/7 + 4384*s/7 + 4386/7 = 0 for s.
-1, 2193
Determine d so that d**2 + 47*d + 46 = 0.
-46, -1
Factor -4*p**3 + 76*p**2 - 320*p - 400.
-4*(p - 10)**2*(p + 1)
Find j, given that 2*j**4 - 44*j**3 + 336*j**2 - 980*j + 686 = 0.
1, 7
Let -2*n**4/5 + 52*n**3/5 - 298*n**2/5 + 632*n/5 - 456/5 = 0. What is n?
2, 3, 19
Solve a**2/4 + 3*a/2 = 0.
-6, 0
Factor -2*v**2/7 - 18*v/7 + 20/7.
-2*(v - 1)*(v + 10)/7
Factor 4*d**5 + 12*d**4 - 4*d**3 - 12*d**2.
4*d**2*(d - 1)*(d + 1)*(d + 3)
Factor -v**2/3 - 181*v/3 - 60.
-(v + 1)*(v + 180)/3
Find b such that -b**5/5 - 104*b**4/5 - 714*b**3 - 7840*b**2 + 8575*b = 0.
-35, 0, 1
Determine r so that r**3/5 - 106*r**2/5 + 21*r = 0.
0, 1, 105
Factor 3*t**4 - 210*t**3 + 5259*t**2 - 55440*t + 209088.
3*(t - 24)**2*(t - 11)**2
Solve -p**4/2 - p**3 + 111*p**2/2 - 54*p = 0 for p.
-12, 0, 1, 9
Suppose -180*u**2 - 1604*u + 144 = 0. What is u?
-9, 4/45
Factor -75*h**3 + 465*h**2 + 408*h + 84.
-3*(h - 7)*(5*h + 2)**2
Suppose -2*s**4/5 - 8*s**3/5 - 2*s**2 - 4*s/5 = 0. Calculate s.
-2, -1, 0
Factor -5*b**3 - 15*b**2 + 80*b - 60.
-5*(b - 2)*(b - 1)*(b + 6)
Let -25*r**2 - 1980*r + 2005 = 0. Calculate r.
-401/5, 1
Factor -5*c**4 - 5*c**3 + 15*c**2 + 25*c + 10.
-5*(c - 2)*(c + 1)**3
Find h such that 52*h**3 - 668*h**2 + 1040*h + 176 = 0.
-2/13, 2, 11
Suppose -c**4/2 + 23*c**3/2 + 59*c**2/2 - 207*c/2 - 225 = 0. Calculate c.
-3, -2, 3, 25
Factor -3*y**5 + 12*y**4 - 42*y**2 + 51*y - 18.
-3*(y - 3)*(y - 1)**3*(y + 2)
Factor 15*o**3/8 - 51*o**2/8 + 9*o/8 + 27/8.
3*(o - 3)*(o - 1)*(5*o + 3)/8
What is t in 2*t**2/3 + 50*t - 152/3 = 0?
-76, 1
Factor -3*a**4 - 30*a**3 - 84*a**2 - 72*a.
-3*a*(a + 2)**2*(a + 6)
Factor 4*t**5 - 256*t**4 + 6496*t**3 - 81536*t**2 + 504896*t - 1229312.
4*(t - 14)**4*(t - 8)
Suppose 3*