4980*y - 11220020.
-5*(y - 1498)**2
Factor -k**4/4 - k**3/4 + 3*k**2/2.
-k**2*(k - 2)*(k + 3)/4
Determine f so that -5*f**2 - 1235*f - 3660 = 0.
-244, -3
Factor -2*q**3/9 + 40*q**2/9 - 200*q/9.
-2*q*(q - 10)**2/9
Factor -w**3/4 + 39*w**2/4 - 103*w/2 + 66.
-(w - 33)*(w - 4)*(w - 2)/4
Factor s**4 - 7*s**3 + 36*s.
s*(s - 6)*(s - 3)*(s + 2)
Factor x**3 + 93*x**2 + 2883*x + 29791.
(x + 31)**3
Solve -t**5/4 + 681*t**4/4 + 683*t**3/2 + t**2/2 - 1365*t/4 - 683/4 = 0.
-1, 1, 683
Factor 15*b**3/4 - 1435*b**2/4 - 1935*b/4 - 485/4.
5*(b - 97)*(b + 1)*(3*b + 1)/4
Factor 10*g**4/3 - 200*g**3/3 - 415*g**2/6 - 35*g/2.
5*g*(g - 21)*(2*g + 1)**2/6
Determine f so that -5*f**3 - 720*f**2 - 1405*f + 2130 = 0.
-142, -3, 1
Determine q so that 16*q**5 + 20*q**4 - 1340*q**3 - 4240*q**2 - 3536*q - 640 = 0.
-8, -2, -1, -1/4, 10
Factor 3*t**5 - 2160*t**4 + 8610*t**3 - 12900*t**2 + 8595*t - 2148.
3*(t - 716)*(t - 1)**4
Factor -3*v**2 + 57*v + 60.
-3*(v - 20)*(v + 1)
Determine c so that 3*c**3 - 135*c**2 + 1944*c - 8748 = 0.
9, 18
Let 34*k**3/11 + 70*k**2/11 - 98*k/11 - 6/11 = 0. What is k?
-3, -1/17, 1
What is q in -2*q**4 - 26*q**3 + 236*q**2 + 104*q - 912 = 0?
-19, -2, 2, 6
Factor o**3/2 + 2*o**2 - 5*o/2.
o*(o - 1)*(o + 5)/2
Find x such that -5*x**2/6 + 70*x/3 = 0.
0, 28
Factor -5*j**4 - 250*j**3 + 5*j**2 + 250*j.
-5*j*(j - 1)*(j + 1)*(j + 50)
Solve 45*y**4 - 2155*y**3 + 1875*y**2 + 235*y = 0 for y.
-1/9, 0, 1, 47
Factor 5*h**3 - 285*h**2 + 4200*h - 3920.
5*(h - 28)**2*(h - 1)
Factor 8*c**2/9 - 164*c/9 + 80/9.
4*(c - 20)*(2*c - 1)/9
Factor q**2 + 1166*q + 339889.
(q + 583)**2
Suppose 2*f**2/11 + 72*f/11 + 18 = 0. What is f?
-33, -3
Suppose -3*x**5/7 - 216*x**4/7 + 222*x**3/7 + 216*x**2/7 - 219*x/7 = 0. Calculate x.
-73, -1, 0, 1
Determine n so that -2*n**5/7 + 10*n**4/7 - 2*n**3/7 - 34*n**2/7 + 44*n/7 - 16/7 = 0.
-2, 1, 4
Suppose m**3 + 6*m**2 + 3*m - 10 = 0. What is m?
-5, -2, 1
Determine u so that -4*u**4 + 36*u**3 - 104*u**2 + 96*u = 0.
0, 2, 3, 4
Determine n so that 4*n**2 + 20*n - 56 = 0.
-7, 2
Factor -5*p**2/4 - 135*p/4 - 175.
-5*(p + 7)*(p + 20)/4
Solve -3*n**3 + 30*n**2 + 111*n + 78 = 0 for n.
-2, -1, 13
Determine v, given that -v**4/3 - 2*v**3 - 5*v**2/3 + 4*v = 0.
-4, -3, 0, 1
Factor v**2/4 + 339*v/2 + 114921/4.
(v + 339)**2/4
Factor y**3 + 18*y**2 + 47*y + 30.
(y + 1)*(y + 2)*(y + 15)
Factor -p**3/3 + 2*p**2 + 5*p + 8/3.
-(p - 8)*(p + 1)**2/3
Determine u, given that -152*u**4 + 756*u**3 - 436*u**2 - 1380*u - 36 = 0.
-1, -1/38, 3
Factor -2*t**4/9 - 8*t**3/9 - 10*t**2/9 - 4*t/9.
-2*t*(t + 1)**2*(t + 2)/9
Solve 4*q**5/9 + 16*q**4/9 - 128*q**3/9 - 104*q**2 - 228*q - 168 = 0.
-3, -2, 7
Let 3*m**4 - 27*m**3 - 63*m**2 - 33*m = 0. Calculate m.
-1, 0, 11
Factor -4*y**5 + 4*y**4 + 20*y**3 - 4*y**2 - 32*y - 16.
-4*(y - 2)**2*(y + 1)**3
Let -74*i**4/11 + 218*i**3/11 + 12*i**2/11 = 0. Calculate i.
-2/37, 0, 3
Factor -a**3/4 + 179*a**2/2.
-a**2*(a - 358)/4
Factor 4*g**4/3 + 10304*g**3/3 + 10300*g**2/3.
4*g**2*(g + 1)*(g + 2575)/3
Factor 18*c**2 + 276*c + 1058.
2*(3*c + 23)**2
Factor -3*o**4/4 + 333*o**3/4 - 243*o**2.
-3*o**2*(o - 108)*(o - 3)/4
Solve -u**5/2 + 3*u**4/4 + 59*u**3/4 - 15*u**2/2 = 0.
-5, 0, 1/2, 6
Suppose -y**3/7 + 15*y**2/7 + 421*y/7 - 435/7 = 0. What is y?
-15, 1, 29
Solve -3*t**4 + 1239*t**3 - 2469*t**2 + 1233*t = 0.
0, 1, 411
Factor -3*u**3 + 12*u**2 + 3*u - 12.
-3*(u - 4)*(u - 1)*(u + 1)
Factor -b**2/3 - 97*b/3 - 190/3.
-(b + 2)*(b + 95)/3
Factor -w**4/2 + 8*w**3 + 20*w**2 - 32*w - 72.
-(w - 18)*(w - 2)*(w + 2)**2/2
Factor -2*i**2 - 12*i + 32.
-2*(i - 2)*(i + 8)
Factor -8*j**3/7 + 96*j**2/7 - 90*j/7 + 22/7.
-2*(j - 11)*(2*j - 1)**2/7
Find w such that -4*w**2 + 972*w - 968 = 0.
1, 242
Suppose -w**5 + 6*w**4 = 0. Calculate w.
0, 6
Factor g**4/6 - 116*g**3/3 + 6956*g**2/3 - 8816*g + 8664.
(g - 114)**2*(g - 2)**2/6
Factor 5*c**3 + 315*c**2 - 990*c.
5*c*(c - 3)*(c + 66)
Solve -2*k**4 + 36*k**3 - 216*k**2 + 432*k = 0 for k.
0, 6
Factor -21*s**4 - 1947*s**3 - 59985*s**2 - 608313*s + 178746.
-3*(s + 31)**3*(7*s - 2)
Factor 5*p**2 + 80*p - 85.
5*(p - 1)*(p + 17)
Factor p**2/8 - 87*p/8 + 43/4.
(p - 86)*(p - 1)/8
Determine c so that 4*c**3/3 - 700*c**2/3 - 704*c/3 = 0.
-1, 0, 176
Suppose -3*c**3/4 - 6*c**2 - 45*c/4 = 0. What is c?
-5, -3, 0
Factor 4*c**2/5 + 76*c/5 + 56.
4*(c + 5)*(c + 14)/5
Let -n**5/2 - 83*n**4/4 - 665*n**3/4 - 472*n**2 - 517*n - 160 = 0. What is n?
-32, -5, -2, -1/2
Solve 5*x**2/2 - 205*x/2 + 285 = 0.
3, 38
Factor x**2/9 - 7*x/3 + 20/9.
(x - 20)*(x - 1)/9
Let -33*b**2/7 - 192*b/7 + 36/7 = 0. What is b?
-6, 2/11
Solve -3*p**3 + 1173*p**2 + 12*p - 4692 = 0 for p.
-2, 2, 391
Let -2*a**3 - 858*a**2 - 122694*a - 5848414 = 0. Calculate a.
-143
Find v such that -6*v**3/5 - 168*v**2/5 - 462*v/5 - 60 = 0.
-25, -2, -1
Solve 5*k**4/2 - 17*k**3/2 + 21*k**2/2 - 11*k/2 + 1 = 0.
2/5, 1
Let -g**4/11 - 18*g**3/11 - 117*g**2/11 - 320*g/11 - 300/11 = 0. Calculate g.
-6, -5, -2
Factor 8*i**3 + 28*i**2 - 20*i - 16.
4*(i - 1)*(i + 4)*(2*i + 1)
Determine p so that -p**4 - 75*p**3/2 - 307*p**2/2 - 333*p/2 - 99/2 = 0.
-33, -3, -1, -1/2
Solve 4*q**5 - 244*q**4 + 3292*q**3 + 14612*q**2 - 38144*q + 20480 = 0 for q.
-5, 1, 32
Determine u, given that 3*u**3/5 - 36*u**2/5 = 0.
0, 12
Factor p**3 + 4*p**2 - 11*p + 6.
(p - 1)**2*(p + 6)
Let 2*l**3/3 - 328*l**2/9 + 24*l = 0. What is l?
0, 2/3, 54
Factor 5*d**4 + 230*d**3 + 3900*d**2 + 29000*d + 80000.
5*(d + 10)**3*(d + 16)
Let -2*k**2 - 96*k = 0. Calculate k.
-48, 0
Factor 2*f**2 + 352*f + 350.
2*(f + 1)*(f + 175)
Find h, given that -2*h**3 - 34*h**2 - 62*h - 30 = 0.
-15, -1
Factor c**4/3 + 160*c**3/3 - 217*c**2 + 818*c/3 - 328/3.
(c - 2)*(c - 1)**2*(c + 164)/3
Let -i**3/4 + 9*i**2/4 - 5*i = 0. Calculate i.
0, 4, 5
Factor 6*q**3 + 52*q**2 + 30*q - 16.
2*(q + 1)*(q + 8)*(3*q - 1)
Determine g, given that -3*g**5 + 489*g**4 - 486*g**3 = 0.
0, 1, 162
Let -16*y**5 - 12*y**4 + 100*y**3 - 24*y**2 = 0. Calculate y.
-3, 0, 1/4, 2
Factor 2*k**4 - 692*k**3 + 58458*k**2 + 242200*k + 245000.
2*(k - 175)**2*(k + 2)**2
Determine h so that h**3 - 12*h**2 + 21*h - 10 = 0.
1, 10
Factor -98*l**4/13 + 140*l**3 - 1016*l**2/13 + 144*l/13.
-2*l*(l - 18)*(7*l - 2)**2/13
Find n such that 4*n**4 + 44*n**3 + 132*n**2 + 20*n - 200 = 0.
-5, -2, 1
Solve 44*c**2 - 436*c + 392 = 0.
1, 98/11
Let 2*d**4/7 - 34*d**3/7 + 160*d**2/7 - 128*d/7 = 0. What is d?
0, 1, 8
Let -2*k**4 + 2*k**3 + 2*k**2 - 2*k = 0. What is k?
-1, 0, 1
Let -8*s**5/3 + 4*s**4 + 32*s**3/3 - 20*s**2/3 - 16*s - 16/3 = 0. Calculate s.
-1, -1/2, 2
Factor -4*u**4 + 10*u**3 + 8*u**2 - 6*u.
-2*u*(u - 3)*(u + 1)*(2*u - 1)
Factor n**3 - 8*n**2 + 21*n - 18.
(n - 3)**2*(n - 2)
Factor -4*u**3 + 12*u**2 + 1716*u - 15548.
-4*(u - 13)**2*(u + 23)
Determine i, given that 2*i**4/3 + 28*i**3 + 192*i**2 + 1088*i/3 = 0.
-34, -4, 0
Let g**3/3 + 8*g**2/3 + 19*g/3 + 4 = 0. Calculate g.
-4, -3, -1
Factor -10*l**2 + 394*l/3 - 52/3.
-2*(l - 13)*(15*l - 2)/3
Determine w so that -w**4/3 - 17*w**3/3 - 21*w**2 + 27*w = 0.
-9, 0, 1
Determine a, given that 5*a**2 - 330*a + 2320 = 0.
8, 58
Find t such that 2*t**3/9 - 394*t**2/9 + 19600*t/9 - 19208/9 = 0.
1, 98
Let -v**5/4 + v**4/2 - v**3/4 = 0. What is v?
0, 1
Determine f, given that -76*f**5 - 1436*f**4 + 1748*f**3 + 1276*f**2 - 1672*f + 160 = 0.
-20, -1, 2/19, 1
Suppose x**2 + 114*x = 0. Calculate x.
-114, 0
Let -j**2/5 + 7*j/5 + 8/5 = 0. Calculate j.
-1, 8
Let 3*b**2 + 1044*b + 90828 = 0. Calculate b.
-174
Let j**4/6 - 5*j**3/3 + 9*j**2/2 - 3*j = 0. Calculate j.
0, 1, 3, 6
Find l such that 3*l**5/2 - 9*l**4 - 24*l**3 = 0.
-2, 0, 8
Factor 4*b**3 + 132*b**2 - 4*b - 132.
4*(b - 1)*(b + 1)*(b + 33)
Find h such that -36*h**4/5 - 234*h**3/5 + 442*h**2/5 + 52*h/5 - 224/5 = 0.
-8, -2/3, 1, 7/6
What is y in -2*y**3/3 + 2*y**2 - 4*y/3 = 0?
0, 1, 2
Factor 2*j**2 - 616*j + 47432.
2*(j - 154)**2
Solve 6*y**5 - 16*y**4 - 110*y**3 - 80*y**2 + 104*y + 96 = 0.
-2, -4/3, -1, 1, 6
Determine t so that 2*t**5/7 + 226*t**4/7 - 232*t**3/7 - 456*t**2/7 = 0.
-114, -1, 0, 2
Factor -y**5 + 4*y**4 - 6*y**3 + 4*y**2 - y.
-y*(y - 1)**4
Let -h**2/3 - 16*h - 192 = 0. Calculate h.
-24
Let -h**4/5 + 51*h**3 + 1823*h**2/5 + 2877*h/5 + 262 = 0. Calculate h.
-5, -1, 262
Factor -3*s**4 - 36*s**3 - 30*s**2 + 36*s + 33.
-3*(s - 1)*(s + 1)**2*(s + 11)
Factor -5*q**2/4 + 625*q/2 - 78125/4.
-5*(q - 125)**2/4
F