*(k - 101)*(k - 2)/4
Factor 2*b**3 - 90*b**2 - 2*b + 90.
2*(b - 45)*(b - 1)*(b + 1)
Solve -10*z**4 + 4*z**3 + 198*z**2/5 - 16*z + 8/5 = 0.
-2, 1/5, 2
Suppose -2*y**5/17 - 38*y**4/17 - 220*y**3/17 - 532*y**2/17 - 546*y/17 - 198/17 = 0. What is y?
-11, -3, -1
Let -5*t**4 - 245*t**3 - 2845*t**2 + 4625*t + 18750 = 0. What is t?
-25, -2, 3
Determine p, given that 5*p**2/2 - 9770*p + 9545290 = 0.
1954
Solve u**2/3 + 70*u/3 - 297 = 0.
-81, 11
What is q in q**5/7 - 5*q**4/7 - 88*q**3/7 + 284*q**2/7 + 2112*q/7 - 2304/7 = 0?
-6, 1, 8
What is l in -l**2/6 - 37*l - 4107/2 = 0?
-111
Determine s, given that -556*s**2 + 12*s = 0.
0, 3/139
Solve -4*h**3 - 256*h**2 - 2880*h + 41472 = 0 for h.
-36, 8
Factor l**2/4 + 96*l + 2639/4.
(l + 7)*(l + 377)/4
Factor -2*m**3 + 102*m**2 + 104*m.
-2*m*(m - 52)*(m + 1)
Factor 2*f**4/3 - 2*f**3/3 - 26*f**2/3 + 50*f/3 - 8.
2*(f - 3)*(f - 1)**2*(f + 4)/3
Factor 5*f**5 - 45*f**4 + 160*f**3 - 280*f**2 + 240*f - 80.
5*(f - 2)**4*(f - 1)
Solve -y**5/3 - 8*y**4/3 - 4*y**3 = 0.
-6, -2, 0
Find g such that -g**5/4 - 4*g**4 + 5*g**3/4 + 20*g**2 - g - 16 = 0.
-16, -2, -1, 1, 2
Solve -3*o**2 + 36*o - 108 = 0.
6
Find c, given that c**2/3 - 29*c/3 - 980/3 = 0.
-20, 49
Suppose 3*g**3/4 - 747*g**2/4 + 11718*g - 11532 = 0. Calculate g.
1, 124
Factor 2*k**4/3 - 26*k**3/3 + 70*k**2/3 + 98*k/3.
2*k*(k - 7)**2*(k + 1)/3
Suppose 2*w**3 - 286*w**2 + 10080*w + 10368 = 0. Calculate w.
-1, 72
Solve -384*u**4/11 - 1440*u**3/11 - 936*u**2/11 - 222*u/11 - 18/11 = 0.
-3, -1/4
Solve -2*i**4/19 - 12*i**3/19 - 6*i**2/19 + 20*i/19 = 0.
-5, -2, 0, 1
Let 2*n**3/3 - 442*n**2/3 + 8066*n + 8214 = 0. What is n?
-1, 111
Let 5*z**5 + 293*z**4 + 957*z**3 - 1805*z**2 + 550*z = 0. Calculate z.
-55, -5, 0, 2/5, 1
Factor 5*d**2 - 6355*d - 19110.
5*(d - 1274)*(d + 3)
Factor 2*u**4 + 12*u**3 - 98*u**2 + 132*u.
2*u*(u - 3)*(u - 2)*(u + 11)
Suppose d**4 + 26*d**3 - 35*d**2 - 204*d + 324 = 0. Calculate d.
-27, -3, 2
Factor -l**3/5 + 207*l**2/5 + 418*l/5.
-l*(l - 209)*(l + 2)/5
Factor -q**3/3 - 29*q**2.
-q**2*(q + 87)/3
Factor -o**3 - 30*o**2 - 192*o + 512.
-(o - 2)*(o + 16)**2
Find p, given that 4*p**4/5 + 188*p**3/5 + 1444*p**2/5 - 18252*p/5 + 5832 = 0.
-27, 2, 5
Factor -3*q**4 + 348*q**3 - 10422*q**2 + 18468*q + 29241.
-3*(q - 57)**2*(q - 3)*(q + 1)
Factor 17*w**2/8 + 389*w/8 - 23/4.
(w + 23)*(17*w - 2)/8
Suppose -l**5 + 114*l**4 - 446*l**3 + 664*l**2 - 441*l + 110 = 0. Calculate l.
1, 110
Suppose -2*d**5/3 + 140*d**4/3 + 144*d**3 + 436*d**2/3 + 146*d/3 = 0. Calculate d.
-1, 0, 73
Factor v**3/6 + 50*v**2/3 + 97*v/6 - 33.
(v - 1)*(v + 2)*(v + 99)/6
Factor 5*m**5 + 35*m**4 - 45*m**3 - 35*m**2 + 40*m.
5*m*(m - 1)**2*(m + 1)*(m + 8)
What is o in -o**3/5 - 139*o**2/5 + 28*o = 0?
-140, 0, 1
Factor -2*w**2/3 - 32*w/3 - 26.
-2*(w + 3)*(w + 13)/3
Factor -4*i**3 + 212*i**2 - 2700*i - 2916.
-4*(i - 27)**2*(i + 1)
Factor -t**4/4 + 51*t**3/4 + 159*t**2/4 + 161*t/4 + 27/2.
-(t - 54)*(t + 1)**3/4
Solve 4*s**4 + 432*s**3 + 14608*s**2 + 158976*s + 541696 = 0 for s.
-46, -8
Factor 4*v**3/7 - 5552*v**2/7 + 276012*v - 548856.
4*(v - 693)**2*(v - 2)/7
Factor -5*h**3 - 325*h**2 + 1360*h - 1380.
-5*(h - 2)**2*(h + 69)
What is u in -474*u**4/13 + 1094*u**3/13 + 2872*u**2/13 + 1336*u/13 + 32/13 = 0?
-1, -2/3, -2/79, 4
Let 3*n**5/8 + 21*n**4/8 + 33*n**3/8 - 57*n**2/8 - 45*n/2 - 27/2 = 0. What is n?
-3, -2, -1, 2
Factor -42*i**2 - 135*i - 27.
-3*(i + 3)*(14*i + 3)
Determine z so that -z**2/5 + 19*z/5 - 18 = 0.
9, 10
Determine j, given that j**3/3 + 25*j**2/3 + 167*j/3 + 143/3 = 0.
-13, -11, -1
Let -2*r**3/5 + 18*r**2/5 - 16*r/5 = 0. Calculate r.
0, 1, 8
Let -2*f**3/3 + 212*f**2/3 + 218*f/3 - 428/3 = 0. What is f?
-2, 1, 107
Factor -v**3/3 + 4*v**2 + 28*v/3.
-v*(v - 14)*(v + 2)/3
Factor 5*z**3 - 55*z**2 + 140*z.
5*z*(z - 7)*(z - 4)
Find p such that 3*p**3/8 + 525*p**2/8 + 24225*p/8 + 108375/8 = 0.
-85, -5
Factor -4*c**3 + 128*c**2 - 556*c + 432.
-4*(c - 27)*(c - 4)*(c - 1)
Suppose 8*v**4 + 20*v**3 - 44*v**2 - 80*v + 48 = 0. Calculate v.
-3, -2, 1/2, 2
Factor 2*s**2 + 190*s.
2*s*(s + 95)
Factor 5*y**2/3 - 170*y + 1960/3.
5*(y - 98)*(y - 4)/3
Let -3*t**2/2 - 99*t/2 + 492 = 0. Calculate t.
-41, 8
Factor -3*q**5 + 12*q**3 - 6*q**2 - 9*q + 6.
-3*(q - 1)**3*(q + 1)*(q + 2)
Let -4*z**4 - 40*z**3 - 84*z**2 + 160*z + 400 = 0. Calculate z.
-5, -2, 2
Factor 6*n**3 - 8*n**2.
2*n**2*(3*n - 4)
Determine g so that g**2/5 + 23*g + 336/5 = 0.
-112, -3
Factor -3*q**2/8 + 759*q/4 - 192027/8.
-3*(q - 253)**2/8
Factor -4*f**2 + 40*f - 64.
-4*(f - 8)*(f - 2)
Let -3*o**4 - 36*o**3 - 81*o**2 + 324*o + 972 = 0. What is o?
-6, -3, 3
Factor 51*g**3 + 189*g**2 + 210*g + 72.
3*(g + 1)*(g + 2)*(17*g + 12)
Solve f**2/4 - 2*f + 3 = 0 for f.
2, 6
Factor -3*g**4 + 57*g**3 - 48*g**2 - 108*g.
-3*g*(g - 18)*(g - 2)*(g + 1)
Factor -2*m**3/11 - 24*m**2/11 - 72*m/11 - 64/11.
-2*(m + 2)**2*(m + 8)/11
Factor -2*h**4 + 14*h**3 + 114*h**2 + 90*h - 216.
-2*(h - 12)*(h - 1)*(h + 3)**2
Determine n, given that -3025*n**5 - 6380*n**4 - 3694*n**3 - 348*n**2 - 9*n = 0.
-1, -3/55, 0
Factor q**3/2 - 145*q**2/2 - 73*q.
q*(q - 146)*(q + 1)/2
Let 5*p**2 - 30*p = 0. Calculate p.
0, 6
Factor -k**3/4 - 45*k**2/2 + 183*k/4 - 23.
-(k - 1)**2*(k + 92)/4
Let -m**4 + 65*m**3 + 201*m**2 + 203*m + 68 = 0. What is m?
-1, 68
Solve -z**4/4 + 3*z**3/4 + 5*z**2/4 - 3*z/4 - 1 = 0 for z.
-1, 1, 4
Factor -2*h**3/7 + 114*h**2/7 + 236*h/7.
-2*h*(h - 59)*(h + 2)/7
Factor -14*b**2 - 64544*b - 18440.
-2*(b + 4610)*(7*b + 2)
Find a such that -4*a**5/3 + 20*a**4/9 - 8*a**3/9 = 0.
0, 2/3, 1
Find a, given that -4*a**4 - 4*a**3 + 4*a**2 + 4*a = 0.
-1, 0, 1
Determine y so that y**3 + 7*y**2 + 12*y = 0.
-4, -3, 0
Solve -5*s**4 + 85*s**3 - 365*s**2 - 165*s + 1890 = 0.
-2, 3, 7, 9
Determine g, given that -159*g**3/2 + 156*g**2 - 147*g/2 - 3 = 0.
-2/53, 1
Factor -5*r**2 - 170*r - 600.
-5*(r + 4)*(r + 30)
Factor p**2/3 - 2474*p/3 + 2473/3.
(p - 2473)*(p - 1)/3
Solve 3*l**4 - 102*l**3 + 177*l**2 + 498*l - 576 = 0.
-2, 1, 3, 32
Factor -3*h**2/8 - 117*h/8 - 81/2.
-3*(h + 3)*(h + 36)/8
Factor 8*r**3/7 + 108*r**2/7 - 312*r/7 + 128/7.
4*(r - 2)*(r + 16)*(2*r - 1)/7
Suppose i**5/3 + 3*i**4 + 31*i**3/3 + 17*i**2 + 40*i/3 + 4 = 0. What is i?
-3, -2, -1
Find m such that -3*m**2/4 + 3*m/4 + 63/2 = 0.
-6, 7
Find u such that 27*u**4/4 - 288*u**3 + 10479*u**2/4 - 3303*u/2 + 270 = 0.
1/3, 12, 30
Factor w**2 - 365*w + 726.
(w - 363)*(w - 2)
Factor -2*h**2 + 490*h + 492.
-2*(h - 246)*(h + 1)
Factor 4*f**4 + 120*f**3 + 896*f**2 - 120*f - 900.
4*(f - 1)*(f + 1)*(f + 15)**2
Factor 3*f**4/4 + 3*f**3/4 - 9*f**2/4 - 3*f/4 + 3/2.
3*(f - 1)**2*(f + 1)*(f + 2)/4
Factor -4*q**5 - 20*q**4 - 28*q**3 - 12*q**2.
-4*q**2*(q + 1)**2*(q + 3)
Factor 2*n**3/9 - 1544*n**2/9 - 1546*n/9.
2*n*(n - 773)*(n + 1)/9
Let -5*m**2 + 5*m = 0. What is m?
0, 1
Suppose -2*i**3/3 + 2*i**2/3 + 8*i/3 - 8/3 = 0. What is i?
-2, 1, 2
Find w such that 35*w**2 + 465*w + 130 = 0.
-13, -2/7
Find s, given that s**5 + 14*s**4 + 45*s**3 + 52*s**2 + 20*s = 0.
-10, -2, -1, 0
Factor -v**4/4 - v**3 + 3*v**2/4 + 9*v/2.
-v*(v - 2)*(v + 3)**2/4
Solve -w**4/6 + 13*w**3/3 + 9*w**2/2 = 0 for w.
-1, 0, 27
What is t in t**4/7 + 136*t**3/7 + 6136*t**2/7 + 14688*t + 81648 = 0?
-54, -14
Factor -4*p**5 - 360*p**4 - 356*p**3.
-4*p**3*(p + 1)*(p + 89)
Factor y**2/4 + 71*y/4 - 73/2.
(y - 2)*(y + 73)/4
Factor 4*i**4 - 108*i**3 + 820*i**2 - 1332*i + 616.
4*(i - 14)*(i - 11)*(i - 1)**2
Factor 15*x**2 + 84*x - 288.
3*(x + 8)*(5*x - 12)
Factor t**3/2 + 7*t**2 + 13*t/2.
t*(t + 1)*(t + 13)/2
Factor -2*s**2/7 - 222*s/7.
-2*s*(s + 111)/7
Find l, given that -l**3 - 55*l**2 - 254*l - 200 = 0.
-50, -4, -1
Factor 3*v**4/2 + 3*v**3 + 3*v**2/2.
3*v**2*(v + 1)**2/2
Determine i, given that -i**3/2 + 43*i**2/2 + 68*i + 46 = 0.
-2, -1, 46
Factor -26*n**3 - 1374*n**2 + 212*n.
-2*n*(n + 53)*(13*n - 2)
Solve u**3 - 18*u**2 + 108*u - 216 = 0.
6
Find t, given that 4*t**4/5 + 218*t**3/5 - 1788*t**2/5 + 882*t - 3348/5 = 0.
-62, 3/2, 3
Find g such that 15*g**2/2 - 223*g/6 - 5/3 = 0.
-2/45, 5
Suppose 2*v**5/3 - 4*v**4/3 - 62*v**3/3 + 64*v**2/3 + 160*v = 0. What is v?
-4, -3, 0, 4, 5
Find n such that 2*n**5/7 + 2*n**4 + 26*n**3/7 + 2*n**2/7 - 4*n - 16/7 = 0.
-4, -2, -1, 1
Suppose -2*u**4 + 62*u**3 + 582*u**2 + 1602*u + 1404 = 0. What is u?
-3, -2, 39
Suppose -3*v**5 - 30*v**4 - 24*v**3 + 30*v**2