*u**2.
u**2*(u - 700)**2
Find b such that -b**3/4 - 15*b**2/2 - 131*b/4 - 75/2 = 0.
-25, -3, -2
Determine x so that 10*x**4 - 5*x**3/2 - 55*x**2 + 5*x/2 + 45 = 0.
-2, -1, 1, 9/4
Let 5*c**3 + 115*c**2 - 1160*c + 2480 = 0. Calculate c.
-31, 4
Find p such that -2*p**5/7 + 18*p**4/7 + 78*p**3/7 - 50*p**2/7 - 36*p - 144/7 = 0.
-3, -1, 2, 12
Factor -4*a**3 - 96*a**2 - 468*a - 648.
-4*(a + 3)**2*(a + 18)
Find h such that 2*h**3 + 30*h**2 + 76*h + 48 = 0.
-12, -2, -1
Solve -3*s**3 + 156*s**2 - 1863*s - 4374 = 0.
-2, 27
Find k, given that 3*k**2/2 - 549*k + 100467/2 = 0.
183
Determine n so that -4*n**5 + 48*n**3 - 64*n**2 = 0.
-4, 0, 2
Factor 3*l**4 - 75*l**3 - 12*l**2 + 300*l.
3*l*(l - 25)*(l - 2)*(l + 2)
Determine x, given that 2*x**3/3 - 10*x**2/3 + 4*x/3 + 16/3 = 0.
-1, 2, 4
Factor -2*k**2/3 - 370*k/3 + 748/3.
-2*(k - 2)*(k + 187)/3
Find s such that s**4 + 17*s**3 + 14*s**2 - 32*s = 0.
-16, -2, 0, 1
Suppose -2*n**2/9 - 52*n/9 = 0. Calculate n.
-26, 0
Factor -5*c**2 + 40*c - 75.
-5*(c - 5)*(c - 3)
Factor -3*o**2 + 1647*o - 1644.
-3*(o - 548)*(o - 1)
Factor 2*n**3/3 - 814*n**2/3 + 1622*n/3 - 270.
2*(n - 405)*(n - 1)**2/3
Find y, given that 3*y**4/2 - 51*y**3/4 + 24*y**2 - 9*y = 0.
0, 1/2, 2, 6
Factor -3*k**3 + 237*k**2 - 4560*k - 4800.
-3*(k - 40)**2*(k + 1)
Suppose -2*y**4 + 102*y**3 - 934*y**2 - 102*y + 936 = 0. What is y?
-1, 1, 12, 39
Factor c**4/7 + 10*c**3/7 + 11*c**2/7 - 10*c.
c*(c - 2)*(c + 5)*(c + 7)/7
Factor -4*r**4 - 72*r**3 - 432*r**2 - 1080*r - 972.
-4*(r + 3)**3*(r + 9)
Factor -2*n**3/13 - 20*n**2/13 - 54*n/13 - 36/13.
-2*(n + 1)*(n + 3)*(n + 6)/13
Solve 3*q**2/7 - 831*q/7 - 360 = 0.
-3, 280
Find z such that -3*z**4 + 147*z**3 - 1725*z**2 + 3021*z - 1440 = 0.
1, 15, 32
Factor -4*g**3 + 16*g**2 + 4*g - 16.
-4*(g - 4)*(g - 1)*(g + 1)
Factor 4*j**3 + 40*j**2 + 84*j.
4*j*(j + 3)*(j + 7)
Solve w**5 - 3*w**4 - 8*w**3 + 12*w**2 + 16*w = 0.
-2, -1, 0, 2, 4
Let 2*c**5/11 - 2*c**3 + 36*c**2/11 - 16*c/11 = 0. Calculate c.
-4, 0, 1, 2
Factor 3*v**4 + 39*v**3 + 120*v**2 + 108*v.
3*v*(v + 2)**2*(v + 9)
What is o in -4*o**4 - 9*o**3 - 2*o**2 = 0?
-2, -1/4, 0
Suppose -4*w**4 + 3664*w**3 - 1258584*w**2 + 192143824*w - 11000233924 = 0. What is w?
229
Find y such that 2*y**4/11 + 234*y**3/11 - 244*y**2/11 - 936*y/11 + 944/11 = 0.
-118, -2, 1, 2
Factor -3*i**4 - 66*i**3 + 1017*i**2 - 2484*i - 3564.
-3*(i - 6)**2*(i + 1)*(i + 33)
Factor -3*s**4 + 276*s**3 + 36*s**2 - 3264*s - 4416.
-3*(s - 92)*(s - 4)*(s + 2)**2
Factor -p**5 + 4*p**3 - 2*p**2 - 3*p + 2.
-(p - 1)**3*(p + 1)*(p + 2)
Find w such that -5*w**5 + 45*w**4 - 520*w**2 - 240*w + 720 = 0.
-2, 1, 6
What is d in 4*d**3/5 - 87*d**2/10 + 181*d/10 + 12/5 = 0?
-1/8, 3, 8
What is c in -2*c**4 + 16*c**3 - 28*c**2 - 16*c + 30 = 0?
-1, 1, 3, 5
Determine v, given that 4*v**2 - 104*v = 0.
0, 26
Determine n, given that -3*n**2 - 93*n + 798 = 0.
-38, 7
Determine q, given that -q**3/4 + 54*q**2 + 109*q = 0.
-2, 0, 218
Factor 3*j**4/8 + 39*j**3/8 + 12*j**2 + 15*j/2.
3*j*(j + 1)*(j + 2)*(j + 10)/8
Solve -14*t**3 + 142*t**2/11 + 224*t/11 - 72/11 = 0 for t.
-1, 2/7, 18/11
Factor -u**2/4 - 27*u/4.
-u*(u + 27)/4
Factor -v**2/5 + 36/5.
-(v - 6)*(v + 6)/5
Determine x, given that x**2 + 59*x + 58 = 0.
-58, -1
Suppose 4*j**5 - 2028*j**4 + 262072*j**3 - 1274088*j**2 + 1770052*j - 756012 = 0. What is j?
1, 3, 251
Factor -2*k**2 + 14*k - 24.
-2*(k - 4)*(k - 3)
Factor l**4/3 + 2*l**3 + 4*l**2 + 10*l/3 + 1.
(l + 1)**3*(l + 3)/3
Factor 3*p**2 + 498*p + 20667.
3*(p + 83)**2
Factor 3*z**2 - 1236*z.
3*z*(z - 412)
Factor -4*w**3 - 1560*w**2 - 3108*w - 1552.
-4*(w + 1)**2*(w + 388)
Solve m**2/2 + 3943*m + 15547249/2 = 0 for m.
-3943
Factor -3*p**5 + 132*p**4 - 612*p**3 + 1074*p**2 - 825*p + 234.
-3*(p - 39)*(p - 2)*(p - 1)**3
What is y in 3*y**4 + 35*y**3/2 - 20*y**2 - 95*y/2 - 13 = 0?
-13/2, -1, -1/3, 2
Let 5*s**4 + 50*s**3 - 15*s**2 - 140*s + 100 = 0. What is s?
-10, -2, 1
Factor -63*m**4 - 192*m**3 - 198*m**2 - 72*m - 3.
-3*(m + 1)**3*(21*m + 1)
Factor o**3/4 - 17*o**2/4 + 14*o - 13.
(o - 13)*(o - 2)**2/4
Factor 8*r**3/3 - 26*r**2/3 - 64*r/3 - 10.
2*(r - 5)*(r + 1)*(4*r + 3)/3
Find r such that -r**5/8 - 17*r**4/4 - 233*r**3/8 - 25*r**2 = 0.
-25, -8, -1, 0
Find l, given that -11*l**2 + 229*l + 42 = 0.
-2/11, 21
Factor -c**4 + 6*c**3 - 12*c**2 + 8*c.
-c*(c - 2)**3
Factor 2*n**4 - 76*n**3 + 214*n**2 - 140*n.
2*n*(n - 35)*(n - 2)*(n - 1)
Let 3553778*n**2 - 15996*n + 18 = 0. What is n?
3/1333
Suppose u**4/3 - 17*u**3/3 + 47*u**2/3 + 65*u/3 = 0. What is u?
-1, 0, 5, 13
Factor -3*r**2/7 + 37224*r/7 - 115468848/7.
-3*(r - 6204)**2/7
Factor -2*f**2 + 1384*f - 239432.
-2*(f - 346)**2
Determine x so that 3*x**3 - 1899*x**2 - 7632*x - 7644 = 0.
-2, 637
Factor -2*j**3 + 14*j**2 - 28*j + 16.
-2*(j - 4)*(j - 2)*(j - 1)
Suppose 16*y**4 + 142*y**3 - 34*y**2 - 142*y + 18 = 0. Calculate y.
-9, -1, 1/8, 1
Determine m, given that m**2 + 90*m + 89 = 0.
-89, -1
Factor 5*n**3 - 460*n**2 + 10105*n + 22090.
5*(n - 47)**2*(n + 2)
Factor -4*r**3 - 304*r**2 - 876*r.
-4*r*(r + 3)*(r + 73)
Factor -4*r**2 + 112*r + 116.
-4*(r - 29)*(r + 1)
Factor -2*t**2/5 - 32*t - 158/5.
-2*(t + 1)*(t + 79)/5
What is r in 9*r**5/5 - 6*r**4 - 18*r**3 + 12*r**2 + 81*r/5 - 6 = 0?
-2, -1, 1/3, 1, 5
Factor g**3 - 444*g**2 - 892*g.
g*(g - 446)*(g + 2)
Factor 2*a**3/13 - 44*a**2/13 + 144*a/13.
2*a*(a - 18)*(a - 4)/13
Factor 6*s**3 + 302*s**2 - 2512*s/3 + 1696/3.
2*(s + 53)*(3*s - 4)**2/3
Suppose k**3 - 1405*k**2 + 492803*k + 494209 = 0. Calculate k.
-1, 703
Factor -n**3/9 + 4*n**2/3 - 16*n/3 + 64/9.
-(n - 4)**3/9
Factor r**4 - 220*r**3 + 12100*r**2.
r**2*(r - 110)**2
Determine t so that 4*t**5/17 - 70*t**4/17 + 300*t**3/17 - 450*t**2/17 + 216*t/17 = 0.
0, 1, 3/2, 3, 12
Solve -2*d**2/21 + 4*d = 0 for d.
0, 42
Solve 4*x**5 - 88*x**4 + 500*x**3 - 416*x**2 = 0.
0, 1, 8, 13
Find g such that 2*g**3/3 + 2*g**2/3 - 28*g/3 - 16 = 0.
-3, -2, 4
Let 2*w**2 - 2*w - 24 = 0. Calculate w.
-3, 4
Factor 5*k**2 + 30*k - 35.
5*(k - 1)*(k + 7)
Suppose b**4/3 - 5*b**3/3 = 0. What is b?
0, 5
Factor -36*u**3 + 40*u**2 + 68*u - 8.
-4*(u - 2)*(u + 1)*(9*u - 1)
Find m such that 2240*m**5 - 35248*m**4 - 9845*m**3 + 5911*m**2 + 930*m - 288 = 0.
-3/8, 1/5, 2/7, 16
Let d**3/7 = 0. Calculate d.
0
Factor -5*v**3 - 100*v**2 - 485*v - 390.
-5*(v + 1)*(v + 6)*(v + 13)
Suppose -x**5/8 + 67*x**4/8 + 207*x**3/8 + 209*x**2/8 + 35*x/4 = 0. What is x?
-1, 0, 70
Factor q**2/3 - 29*q + 234.
(q - 78)*(q - 9)/3
Find d, given that d**5 - 21*d**4 + 119*d**3 + 29*d**2 - 1092*d - 980 = 0.
-2, -1, 7, 10
Determine w, given that -14*w**5 + 158*w**4 + 1090*w**3 - 478*w**2 - 1076*w + 320 = 0.
-5, -1, 2/7, 1, 16
Factor 5*g**2 + 1520*g - 1525.
5*(g - 1)*(g + 305)
Factor -2*y**4/9 - 10*y**3/9 - 4*y**2/9 + 16*y/9.
-2*y*(y - 1)*(y + 2)*(y + 4)/9
Suppose -2*j**5/7 + 12*j**4/7 + 2*j**3 = 0. What is j?
-1, 0, 7
Factor 5*k**4 + 155*k**3 + 290*k**2.
5*k**2*(k + 2)*(k + 29)
Factor -s**2/5 - 10*s - 49/5.
-(s + 1)*(s + 49)/5
Determine f so that -f**2 - 79*f - 228 = 0.
-76, -3
What is v in 2*v**2 - 8*v - 640 = 0?
-16, 20
Let -h**5 - 6*h**4 - 12*h**3 - 10*h**2 - 3*h = 0. Calculate h.
-3, -1, 0
Factor -2*k**4/5 + 4*k**3/5 + 48*k**2/5.
-2*k**2*(k - 6)*(k + 4)/5
Factor -3*m**4 - 147*m**3 - 1476*m**2 + 3564*m.
-3*m*(m - 2)*(m + 18)*(m + 33)
Suppose -6*f**3/11 + 34*f**2/11 - 18*f/11 - 10/11 = 0. What is f?
-1/3, 1, 5
Factor y**4/2 + 63*y**3/2 + 555*y**2/2 + 1325*y/2.
y*(y + 5)**2*(y + 53)/2
Factor y**3/5 - 149*y**2/5 - 301*y/5 - 151/5.
(y - 151)*(y + 1)**2/5
Factor -s**4/6 - s**3/6 + s**2/6 + s/6.
-s*(s - 1)*(s + 1)**2/6
Factor -4*j**3 + 532*j**2.
-4*j**2*(j - 133)
What is q in 2*q**5 - 16*q**4 + 48*q**3 - 64*q**2 + 32*q = 0?
0, 2
Let 4*t**2/5 - 488*t/5 + 14884/5 = 0. Calculate t.
61
Suppose 12*h**4 + 1420*h**3 - 6808*h**2 + 9808*h - 3936 = 0. What is h?
-123, 2/3, 2
Find b, given that -4*b**2/3 - 460*b/3 - 152 = 0.
-114, -1
Factor -3*c**4/4 - 6*c**3 + 96*c + 192.
-3*(c - 4)*(c + 4)**3/4
Solve -2*o**5/5 + 137*o**4/5 - 61*o**3/5 - 482*o**2/5 + 408*o/5 = 0 for o.
-2, 0, 1, 3/2, 68
Solve -4*w**2/3 + 13*w/9 - 1/3 = 0.
1/3, 3/4
Determine m so that -2*m**5/13 - 10*m**4/13 - 10*m**3/13 + 10*m**2/13 + 12*m/13 = 0.
-3, -2, -1, 0, 1
Factor -2*v**3/7 + 578*v**2/7 - 2286*v/7 + 1710/7.
-2*(v - 285)*(v - 3)*(v - 1)/7
Determine o so that 7*o**4 + 33*o**3 - 17*o**2 - 33*o