uppose t**2/5 - 39*t/5 + 248/5 = 0. Calculate t.
8, 31
Suppose 2*g**4 + 30*g**3 - 228*g**2 - 560*g = 0. Calculate g.
-20, -2, 0, 7
Factor 2*j**3/11 - 206*j**2/11 + 404*j/11.
2*j*(j - 101)*(j - 2)/11
Let i**3 - 8*i**2 + 5*i + 50 = 0. What is i?
-2, 5
Factor 6*i**3 + 315*i**2 - 483*i + 162.
3*(i - 1)*(i + 54)*(2*i - 1)
Find w such that -3*w**4 - 333*w**3 + 1017*w**2 - 1023*w + 342 = 0.
-114, 1
Factor 2*j**3/7 + 372*j**2/7 + 1462*j/7 + 156.
2*(j + 1)*(j + 3)*(j + 182)/7
Find x, given that -x**4 + 30*x**3 + 131*x**2 + 168*x + 68 = 0.
-2, -1, 34
Determine b so that -4*b**5 - 176*b**4 - 173*b**3 - 43*b**2 = 0.
-43, -1/2, 0
Factor -3*q**2 - 300*q + 5175.
-3*(q - 15)*(q + 115)
Determine i, given that -2*i**3/3 - 20*i**2/3 + 2*i + 72 = 0.
-9, -4, 3
Determine b so that -3*b**5 + 24*b**4 - 72*b**3 + 96*b**2 - 48*b = 0.
0, 2
Suppose -b**5 - 4*b**4 + 16*b**3 + 22*b**2 - 15*b - 18 = 0. What is b?
-6, -1, 1, 3
Factor 3*d**3/7 + 51*d**2 + 705*d/7 + 351/7.
3*(d + 1)**2*(d + 117)/7
What is a in -9*a**2 + 96*a + 33 = 0?
-1/3, 11
Suppose -2*a**4 + 6*a**3 = 0. Calculate a.
0, 3
Factor 23*p**2/4 + 87*p/8 - 5/4.
(p + 2)*(46*p - 5)/8
Factor -s**3/2 + s**2/2 + 28*s + 72.
-(s - 9)*(s + 4)**2/2
Factor 39*l**2/2 + 153*l/2 - 6.
3*(l + 4)*(13*l - 1)/2
Factor -2*j**2/3 + 70*j/9 + 8/3.
-2*(j - 12)*(3*j + 1)/9
Let -4*f**5 + 24*f**4 - 44*f**3 + 8*f**2 + 48*f - 32 = 0. What is f?
-1, 1, 2
Solve -5*i**3 - 50*i**2 - 125*i = 0 for i.
-5, 0
Solve -5*h**5 + 25*h**4 - 15*h**3 - 85*h**2 + 140*h - 60 = 0 for h.
-2, 1, 2, 3
What is m in 16*m**3 + 36*m**2 - 120*m - 32 = 0?
-4, -1/4, 2
Solve k**4 + 4*k**3 + 5*k**2 + 2*k = 0.
-2, -1, 0
Factor -2*h**2/7 + 6*h/7 + 8/7.
-2*(h - 4)*(h + 1)/7
Find l such that -4*l**3/7 - 164*l**2/7 + 340*l/7 - 172/7 = 0.
-43, 1
Factor -r**2/4 + r + 77/4.
-(r - 11)*(r + 7)/4
Find r, given that -r**2 + 70*r = 0.
0, 70
Suppose -2*k**2 + 2472*k - 9856 = 0. Calculate k.
4, 1232
Factor 5*a**2 - 27160*a + 36883280.
5*(a - 2716)**2
What is x in 16*x**5/13 - 12*x**4 + 94*x**3/13 + 138*x**2/13 - 110*x/13 + 18/13 = 0?
-1, 1/4, 1/2, 1, 9
What is n in -4*n**5 - 112*n**4 - 532*n**3 + 3464*n**2 - 4864*n + 2048 = 0?
-16, 1, 2
What is t in t**2 - 21*t = 0?
0, 21
Factor 3*h**2 - 3930*h + 7848.
3*(h - 1308)*(h - 2)
Find p, given that -2*p**2 + 944*p - 942 = 0.
1, 471
Solve g**2 - 136*g + 4624 = 0 for g.
68
Factor 20*q**3 - 2399*q**2 - 121*q + 120.
(q - 120)*(4*q + 1)*(5*q - 1)
Determine j so that -3*j**4/2 - 1437*j**3/2 + 5781*j**2/2 - 7239*j/2 + 1449 = 0.
-483, 1, 2
Factor 5*r**5/3 - 5*r**4 - 110*r**3/3 + 150*r**2 - 45*r - 225.
5*(r - 3)**3*(r + 1)*(r + 5)/3
Suppose 2*z**5 - 12*z**4 + 26*z**3 - 24*z**2 + 8*z = 0. What is z?
0, 1, 2
Factor h**3 - 26*h**2 - 116*h - 120.
(h - 30)*(h + 2)**2
Let -i**2 - 143*i + 1530 = 0. What is i?
-153, 10
What is q in -2*q**3 - 144*q**2 + 458*q + 600 = 0?
-75, -1, 4
Factor -2*c**3 - 2*c**2 + 32*c - 40.
-2*(c - 2)**2*(c + 5)
Factor -w**2 + 118*w + 363.
-(w - 121)*(w + 3)
Suppose -3*u**5 - 309*u**4 + 4353*u**3 - 19551*u**2 + 32910*u - 17400 = 0. Calculate u.
-116, 1, 2, 5
Solve 2*c**5/9 - 2*c**4/3 - 14*c**3/9 + 22*c**2/9 + 4*c/3 - 16/9 = 0 for c.
-2, -1, 1, 4
Determine x, given that 3*x**3/2 - 69*x**2 + 267*x/2 - 66 = 0.
1, 44
Factor -2*r**3 + 98*r.
-2*r*(r - 7)*(r + 7)
Factor -j**4/2 + 33*j**3/2 - 159*j**2 + 400*j + 576.
-(j - 18)*(j - 8)**2*(j + 1)/2
Determine j so that -j**4/2 - 203*j**3/2 - 9993*j**2/2 + 31415*j/2 - 10609 = 0.
-103, 1, 2
Factor -6*f**4 + 20*f**3 - 6*f**2.
-2*f**2*(f - 3)*(3*f - 1)
Factor -g**4 - 45*g**3 + 93*g**2 - 47*g.
-g*(g - 1)**2*(g + 47)
Suppose -5*h**3 - 2215*h**2 - 246415*h - 244205 = 0. What is h?
-221, -1
Factor -4*v**3 - 264*v**2 - 516*v - 256.
-4*(v + 1)**2*(v + 64)
What is m in 2*m**4/5 + 118*m**3/5 + 336*m**2 - 360*m = 0?
-30, 0, 1
Factor -r**2/7 + 138*r/7 - 536/7.
-(r - 134)*(r - 4)/7
Factor -5*c**2 + 5430*c - 1474245.
-5*(c - 543)**2
Solve 5*z**2 + 1355*z = 0.
-271, 0
Factor -5*n**4 - 125*n**3 - 115*n**2 + 125*n + 120.
-5*(n - 1)*(n + 1)**2*(n + 24)
Factor -99*r**4 - 93*r**3 + 6*r**2.
-3*r**2*(r + 1)*(33*r - 2)
Solve -d**5/7 - 10*d**4/7 - 36*d**3/7 - 8*d**2 - 32*d/7 = 0 for d.
-4, -2, 0
Find m such that -m**5/6 + 11*m**3/3 + 10*m**2/3 - 7*m/2 - 10/3 = 0.
-4, -1, 1, 5
Solve 4*z**5 - 300*z**4 + 6060*z**3 - 16420*z**2 + 15840*z - 5184 = 0.
1, 36
Solve -2*a**4/7 + 674*a**3/7 - 55760*a**2/7 - 173400*a/7 = 0.
-3, 0, 170
Solve 5*n**5 + 5*n**4 - 10*n**3 = 0.
-2, 0, 1
Factor p**3/4 + 3*p**2/4 + p/2.
p*(p + 1)*(p + 2)/4
Suppose h**3 - 3*h**2 + 4 = 0. Calculate h.
-1, 2
Factor -d**2/5 - 78*d/5 - 1521/5.
-(d + 39)**2/5
Determine f so that 2*f**2/7 + 38*f/7 + 24 = 0.
-12, -7
Factor -5*w**4 - 260*w**3 - 3110*w**2 + 7020*w - 3645.
-5*(w - 1)**2*(w + 27)**2
Suppose 3*r**2/2 + 213*r/2 = 0. What is r?
-71, 0
What is b in 49*b**5 + 140*b**4 - 936*b**3 + 18*b**2 + 567*b + 162 = 0?
-6, -3/7, 1, 3
What is j in 96*j**3 + 60*j**2 - 261*j/8 + 27/8 = 0?
-1, 3/16
Factor -a**2 + 180*a - 8100.
-(a - 90)**2
Find s, given that s**2 + 18*s + 56 = 0.
-14, -4
Factor 2*y**2/5 + 1016*y/5 + 129032/5.
2*(y + 254)**2/5
Factor 2*g**5 - 16*g**4 + 46*g**3 - 56*g**2 + 24*g.
2*g*(g - 3)*(g - 2)**2*(g - 1)
Let -n**4/4 - 187*n**3 + 2253*n**2/4 - n - 751 = 0. What is n?
-751, -1, 2
Factor -i**2/3 - 112*i/3 - 220/3.
-(i + 2)*(i + 110)/3
Find b such that -92416*b**5/5 + 25536*b**4 - 14064*b**3 + 3860*b**2 - 528*b + 144/5 = 0.
1/4, 6/19
Factor 2*v**3 + 6*v**2 - 20*v - 48.
2*(v - 3)*(v + 2)*(v + 4)
Factor 4*w**5 + 1064*w**4 + 97072*w**3 + 3270752*w**2 + 21773824*w + 40707584.
4*(w + 4)**2*(w + 86)**3
Solve 3*g**2 - 1632*g - 1635 = 0 for g.
-1, 545
Determine s so that -2*s**3 + 8*s**2 + 58*s + 48 = 0.
-3, -1, 8
Solve -2*y**5/11 - 104*y**4/11 - 1542*y**3/11 - 4896*y**2/11 - 3456*y/11 = 0.
-24, -3, -1, 0
Solve -3*m**4 + 57*m**3 - 252*m**2 = 0 for m.
0, 7, 12
What is v in 5*v**5 - 45*v**4 + 40*v**3 = 0?
0, 1, 8
Factor -5*l**4/2 - 595*l**3/4 - 295*l**2/4.
-5*l**2*(l + 59)*(2*l + 1)/4
Find t, given that 4*t**4/7 + 32*t**3/7 - 96*t**2/7 - 128*t/7 + 320/7 = 0.
-10, -2, 2
Find r such that r**3 + 15*r**2 + 54*r + 40 = 0.
-10, -4, -1
Solve b**5 - 89*b**4 + 261*b**3 - 259*b**2 + 86*b = 0 for b.
0, 1, 86
Solve -466*s**3 + 462*s**2 + 4*s = 0 for s.
-2/233, 0, 1
Factor -2*y**5/11 + 30*y**4/11 - 52*y**3/11.
-2*y**3*(y - 13)*(y - 2)/11
Suppose z**2/2 - 8*z + 32 = 0. Calculate z.
8
What is w in 5*w**5 - 7815*w**4 - 47005*w**3 - 101925*w**2 - 94120*w - 31380 = 0?
-2, -1, 1569
Suppose 65*h**4 - 200*h**3 + 210*h**2 - 80*h + 5 = 0. Calculate h.
1/13, 1
Find s such that 2*s**2/11 + 30*s/11 - 108/11 = 0.
-18, 3
Factor -3*t**3 - 210*t**2 - 1509*t - 1302.
-3*(t + 1)*(t + 7)*(t + 62)
Let i**5/10 + 3*i**4/5 + 7*i**3/10 - 9*i**2/5 - 22*i/5 - 12/5 = 0. What is i?
-3, -2, -1, 2
Find h, given that -5*h**4 - 3935*h**3 - 776175*h**2 - 772245*h = 0.
-393, -1, 0
Let -u**4 - 149*u**3 - 7350*u**2 - 117500*u + 125000 = 0. Calculate u.
-50, 1
Find z such that -z**2/5 - 131*z/5 + 132/5 = 0.
-132, 1
Factor 10*i**3 - 18*i**2 - 84*i - 16.
2*(i - 4)*(i + 2)*(5*i + 1)
Suppose k**4 - k**3 - 13*k**2 + 25*k - 12 = 0. Calculate k.
-4, 1, 3
Factor 2*n**3 - 142*n**2 - 440*n - 296.
2*(n - 74)*(n + 1)*(n + 2)
Factor -4*f**5/7 + 248*f**4/7 + 768*f**3/7 + 776*f**2/7 + 260*f/7.
-4*f*(f - 65)*(f + 1)**3/7
Let 981*k**2 - 9816*k + 60 = 0. What is k?
2/327, 10
Solve 28*m**4/5 + 64*m**3/5 + 44*m**2/5 + 8*m/5 = 0 for m.
-1, -2/7, 0
Determine l so that -l**2/2 - 3919*l - 15358561/2 = 0.
-3919
Let 98*i**3/5 + 1344*i**2/5 + 5658*i/5 + 6724/5 = 0. What is i?
-41/7, -2
What is n in 4*n**2 + 61*n + 117 = 0?
-13, -9/4
Factor 2*h**3 - 34*h**2 + 28*h + 64.
2*(h - 16)*(h - 2)*(h + 1)
Factor -s**5 + 2*s**4 + 48*s**3.
-s**3*(s - 8)*(s + 6)
Factor 22445*c**2 - 18760*c + 3920.
5*(67*c - 28)**2
Let -u**2/2 + 157*u/4 + 79/4 = 0. Calculate u.
-1/2, 79
What is n in 704969*n**4/6 - 3540687*n**3/2 + 118993*n**2 - 8014*n/3 + 20 = 0?
2/89, 15
Suppose 2*i**3/11 - 50*i**2/11 + 92*i/11 = 0. Calculate i.
0, 2, 23
Let -4*c**3 - 40*c**2 + 96*c = 0. What is c?
-12, 0, 2
Let 4*l**5 - 8*l**4 - 120*l**3 + 368*l**2 - 364*l + 120 = 0. Calculate l.
-6, 1, 5
Factor -2*p**2/17 - 128*p/17 - 2048/17.
-2*(p + 32)**2/17
Solve -5*o**5 + 55*o**4 = 0 for o.
0, 11
Let 3*l**4 - 3*l**3 - 54*l**2 + 48*l + 96 = 0. Calculate l.
-4, -1, 2, 4
Suppose -5*r**5 - 320*r**4 -