)*(h - 1)/4
Let g**2 - 8094*g + 16378209 = 0. Calculate g.
4047
Suppose -4*b**3 - 10*b**2 + 4*b + 10 = 0. Calculate b.
-5/2, -1, 1
Factor 5*d**2 - 520*d + 13520.
5*(d - 52)**2
Factor -k**2/5 + 41*k/5 + 392/5.
-(k - 49)*(k + 8)/5
Suppose -b**2/4 + 85*b/2 - 84 = 0. What is b?
2, 168
Suppose c**3/4 - 3*c**2/4 - c = 0. What is c?
-1, 0, 4
Factor -2*q**2 - 2100*q + 2102.
-2*(q - 1)*(q + 1051)
Suppose -3*j**2 + 354*j - 10443 = 0. Calculate j.
59
Determine w so that w**5 + 6180*w**4 + 15276960*w**3 + 18882322560*w**2 + 11669275342080*w + 2884644864562176 = 0.
-1236
Factor 5*d**3 - 55*d**2 + 175*d - 125.
5*(d - 5)**2*(d - 1)
Suppose -5*b**4 + 305*b**3 - 280*b**2 - 1220*b + 1200 = 0. What is b?
-2, 1, 2, 60
Factor d**4/4 - 9*d**3/4 - 3*d**2 + 5*d.
d*(d - 10)*(d - 1)*(d + 2)/4
Let -10*d**2/3 - 8*d/3 + 8 = 0. Calculate d.
-2, 6/5
Suppose -4*i**4 - 336*i**3 - 1296*i**2 - 1280*i = 0. Calculate i.
-80, -2, 0
Solve -5*a**3 + 1365*a**2 + 6980*a - 8340 = 0.
-6, 1, 278
Let -2*j**3 + 26*j**2 + 28*j = 0. What is j?
-1, 0, 14
Factor -2*o**2/7 - 894*o/7 - 1780/7.
-2*(o + 2)*(o + 445)/7
Let d**5 + 50*d**4 + 229*d**3 + 180*d**2 = 0. What is d?
-45, -4, -1, 0
Suppose -3*s**3/5 + 6*s**2/5 = 0. What is s?
0, 2
Find y such that -3*y**2 + 519*y + 522 = 0.
-1, 174
Suppose 14*c**5 + 338*c**4 + 1280*c**3 - 9232*c**2 + 9632*c + 1568 = 0. What is c?
-14, -1/7, 2
Let -4*y**5/5 + 84*y**4/5 - 636*y**3/5 + 2188*y**2/5 - 672*y + 1728/5 = 0. Calculate y.
1, 3, 4, 9
Solve d**5/5 - 44*d**4/5 - 93*d**3/5 + 44*d**2/5 + 92*d/5 = 0 for d.
-2, -1, 0, 1, 46
Factor 2*h**4/9 + 4*h**3/3 + 2*h**2/3 - 20*h/9.
2*h*(h - 1)*(h + 2)*(h + 5)/9
Factor -a**2/7 + 603*a/7.
-a*(a - 603)/7
Solve 4*m**5 + 84*m**4 + 628*m**3 + 1932*m**2 + 1960*m = 0 for m.
-7, -5, -2, 0
Factor -72*b**2/5 - 408*b/5 - 578/5.
-2*(6*b + 17)**2/5
Factor -25*r**4/4 + 1995*r**3/4 - 396*r**2 + 79*r.
-r*(r - 79)*(5*r - 2)**2/4
Factor y**2/4 + 4*y + 7.
(y + 2)*(y + 14)/4
Let 2*h**4/15 - 16*h**3/15 + 14*h**2/5 - 12*h/5 = 0. Calculate h.
0, 2, 3
Let 5*z**2/4 - 35*z = 0. Calculate z.
0, 28
Find k, given that -2*k**4 + 22*k**3 - 54*k**2 - 22*k + 56 = 0.
-1, 1, 4, 7
Find z such that z**2/2 + 251*z/2 + 249 = 0.
-249, -2
Factor 2*f**2/3 + 6*f - 104/3.
2*(f - 4)*(f + 13)/3
Suppose -n**2/3 - 34*n/3 + 152/3 = 0. What is n?
-38, 4
What is t in -t**4/3 - 20*t**3 - 895*t**2/3 + 20*t + 896/3 = 0?
-32, -28, -1, 1
Solve 2*z**4 + 38*z**3 - 48*z**2 - 152*z + 160 = 0.
-20, -2, 1, 2
Find v such that -14*v**5/15 - 142*v**4/15 + 484*v**3/15 - 92*v**2/3 + 106*v/15 + 26/15 = 0.
-13, -1/7, 1
Factor -3*x**2/2 - 3219*x/2 - 1608.
-3*(x + 1)*(x + 1072)/2
Suppose f**4/4 - 53*f**3/4 = 0. Calculate f.
0, 53
Find d, given that d**2/7 + 47*d/7 + 46/7 = 0.
-46, -1
Factor -27556*v**3 - 135788*v**2 + 9924*v - 180.
-4*(v + 5)*(83*v - 3)**2
Suppose -z**4/2 + 21*z**3 - 441*z**2/2 = 0. What is z?
0, 21
Suppose -4*c**5 + 44*c**4 - 32*c**3 - 80*c**2 = 0. What is c?
-1, 0, 2, 10
Solve -3*g**2/2 + 357*g/2 - 1926 = 0.
12, 107
Factor -32258*r**2 + 16256*r - 2048.
-2*(127*r - 32)**2
Factor -2*m**3 + 826*m**2 - 84032*m - 259584.
-2*(m - 208)**2*(m + 3)
Suppose -40*d**4 - 740*d**3 - 3085*d**2/2 + 1825*d/2 - 120 = 0. Calculate d.
-16, -3, 1/4
Factor 4*p**5 + 532*p**4 + 27840*p**3 + 712800*p**2 + 8856000*p + 42120000.
4*(p + 13)*(p + 30)**4
Factor 5*x**2 + 165*x.
5*x*(x + 33)
Factor -n**4/5 - 2*n**3/5 + 12*n**2/5 - 14*n/5 + 1.
-(n - 1)**3*(n + 5)/5
Find v, given that -7*v**4/5 + 3*v**3/5 = 0.
0, 3/7
Suppose 2*w**2 - 52*w - 112 = 0. Calculate w.
-2, 28
Factor -c**3/6 - 7*c**2/6 - 2*c.
-c*(c + 3)*(c + 4)/6
Factor 27*n**2/5 + 216*n/5 + 132/5.
3*(3*n + 2)*(3*n + 22)/5
Factor 3*j**4 + 30*j**3 - 96*j**2 - 1152*j.
3*j*(j - 6)*(j + 8)**2
Let -2*k**2/5 + 464*k = 0. What is k?
0, 1160
Factor 3*t**2 + 11442*t + 10909947.
3*(t + 1907)**2
Let 4*l**4 + 14*l**3 - 40*l**2 - 50*l = 0. Calculate l.
-5, -1, 0, 5/2
What is x in 8*x**4/11 + 30*x**3/11 + 34*x**2/11 + 12*x/11 = 0?
-2, -1, -3/4, 0
Suppose -v**5 - 27*v**4 + 3*v**3 + 83*v**2 + 54*v = 0. Calculate v.
-27, -1, 0, 2
Suppose o**3/5 - 7*o/5 + 6/5 = 0. What is o?
-3, 1, 2
Factor 2*j**2 + 374*j.
2*j*(j + 187)
Determine o so that -4*o**4 + 16*o**3 + 4*o**2 - 64*o + 48 = 0.
-2, 1, 2, 3
Suppose -2*b**5/19 + 34*b**4/19 + 2*b**3 - 34*b**2/19 - 36*b/19 = 0. What is b?
-1, 0, 1, 18
Determine h so that 15*h**2 + 20275*h + 13510 = 0.
-1351, -2/3
Factor p**2/4 - 29*p/4 + 42.
(p - 21)*(p - 8)/4
What is t in 2*t**4 + 18*t**3 + 36*t**2 - 8*t - 48 = 0?
-6, -2, 1
Solve -w**4 + 2*w**3 + 4*w**2 - 2*w - 3 = 0 for w.
-1, 1, 3
Let 8*m**4 - 12*m**3 - 28*m**2 + 48*m - 16 = 0. What is m?
-2, 1/2, 1, 2
Factor m**4/2 - 17*m**3/2 + 34*m**2 - 50*m + 24.
(m - 12)*(m - 2)**2*(m - 1)/2
What is u in 220*u**4 - 1085*u**3 + 1730*u**2 - 940*u + 120 = 0?
2/11, 3/4, 2
Suppose -j**5 + j**4 + 10*j**3 + 8*j**2 = 0. Calculate j.
-2, -1, 0, 4
Find z, given that -z**3/3 + 19*z**2/3 + 14*z = 0.
-2, 0, 21
Factor -2*m**2/7 - 10*m/7 + 4.
-2*(m - 2)*(m + 7)/7
Factor 2*p**2 - 18*p - 104.
2*(p - 13)*(p + 4)
Solve 5*t**2 + 15*t + 10 = 0 for t.
-2, -1
Determine q, given that q**4/8 + 7*q**3/4 + 45*q**2/8 + 13*q/2 + 5/2 = 0.
-10, -2, -1
Determine n so that 2*n**5/11 - 20*n**4/11 - 4*n**3 + 488*n**2/11 - 390*n/11 - 900/11 = 0.
-5, -1, 3, 10
Solve 4*c**5 - 100*c**4 + 296*c**3 + 4600*c**2 - 300*c - 4500 = 0 for c.
-5, -1, 1, 15
Factor -2*j**2 + 8*j.
-2*j*(j - 4)
Factor -4*n**3/5 + 34*n**2 + 86*n/5.
-2*n*(n - 43)*(2*n + 1)/5
Determine a so that -a**3 + 70*a**2 + 217*a + 146 = 0.
-2, -1, 73
Find v such that -5*v**5/6 - 22*v**4/3 - 46*v**3/3 - 7*v**2/3 + 97*v/6 + 29/3 = 0.
-29/5, -2, -1, 1
Determine i so that -2*i**4/5 + 82*i**3/5 - 156*i**2/5 = 0.
0, 2, 39
Solve -3*p**5 - 27*p**4 + 387*p**3 + 843*p**2 + 432*p = 0 for p.
-16, -1, 0, 9
Determine z, given that z**5/3 - 3*z**4 + 8*z**3/3 = 0.
0, 1, 8
Factor -2*w**4 + 12*w**3 - 24*w**2 + 16*w.
-2*w*(w - 2)**3
Factor -8*x**2/9 + 8134*x/9 + 226.
-2*(x - 1017)*(4*x + 1)/9
Let 140*v**5 + 1675*v**4 + 5390*v**3 + 3605*v**2 - 530*v - 280 = 0. Calculate v.
-7, -4, -1, -1/4, 2/7
Factor u**3/7 - 195*u**2/7 + 7128*u/7 + 34992.
(u - 108)**2*(u + 21)/7
Factor 2*d**4 - 8*d**3 + 10*d**2 - 4*d.
2*d*(d - 2)*(d - 1)**2
Solve -6*t**4 - 27*t**3 - 21*t**2 + 18*t = 0.
-3, -2, 0, 1/2
Find q, given that 4*q**5/11 + 10*q**4/11 - 32*q**3/11 - 90*q**2/11 - 36*q/11 = 0.
-3, -2, -1/2, 0, 3
What is i in -2*i**2/9 - 124*i/9 = 0?
-62, 0
Determine d so that 7*d**4 - 19*d**3 + 15*d**2 - d - 2 = 0.
-2/7, 1
Factor l**4/3 - l**3/3.
l**3*(l - 1)/3
Find x, given that -10*x**2/9 + 3272*x/9 - 218/3 = 0.
1/5, 327
Factor l**3/3 + 14*l**2/3 - 7*l - 30.
(l - 3)*(l + 2)*(l + 15)/3
Solve 10*i**4/9 - 182*i**3/3 + 2150*i**2/3 + 27898*i/9 + 3364/3 = 0.
-3, -2/5, 29
Factor -50*b**3 - 20*b**2 - 2*b.
-2*b*(5*b + 1)**2
Let j**4 - 3*j**2 - 2*j = 0. What is j?
-1, 0, 2
Factor -9*o**4 - 21*o**3 - o**2 + 9*o - 2.
-(o + 1)*(o + 2)*(3*o - 1)**2
Factor 2*g**3/13 + 20*g**2 - 1918*g/13.
2*g*(g - 7)*(g + 137)/13
Factor -4*w**4 + 120*w**3 - 876*w**2 + 760*w.
-4*w*(w - 19)*(w - 10)*(w - 1)
Solve -5*o**2 + 80*o = 0.
0, 16
Determine i so that -2*i**4/5 - 12*i**3/5 - 16*i**2/5 = 0.
-4, -2, 0
Determine k, given that -k**4/11 + 25*k**3/11 - 136*k**2/11 = 0.
0, 8, 17
Solve -l**2/4 - 13*l/4 = 0 for l.
-13, 0
Factor -5*q**2 - 775*q + 780.
-5*(q - 1)*(q + 156)
Let -44*y**3 + 228*y**2 - 304*y + 48 = 0. Calculate y.
2/11, 2, 3
Factor b**3/4 + 157*b**2/2 + 156*b.
b*(b + 2)*(b + 312)/4
Find o, given that -o**5 - 5*o**4 - 7*o**3 - 3*o**2 = 0.
-3, -1, 0
Determine f so that -3*f**2 - 594*f - 29403 = 0.
-99
Factor -3*u**3/5 - 66*u**2/5 - 177*u/5 - 114/5.
-3*(u + 1)*(u + 2)*(u + 19)/5
Factor -2*v**4 - 1268*v**3 - 200978*v**2.
-2*v**2*(v + 317)**2
Suppose -5*w**3 - 20*w**2 + 300*w = 0. Calculate w.
-10, 0, 6
Find b, given that -5*b**5/4 + 25*b**4/2 - 125*b**3/4 - 25*b**2 + 100*b + 80 = 0.
-1, 4
Factor 9*m**2 - 10317*m + 3438.
3*(m - 1146)*(3*m - 1)
Determine c, given that -3*c**2 - 3*c = 0.
-1, 0
Solve -i**3/9 - 52*i**2/9 + 53*i/9 = 0 for i.
-53, 0, 1
What is r in 5*r**4 - 40*r**3 - 220*r**2 - 240*r = 0?
-2, 0, 12
Determine b so that -2*b**3/3 - 22*b**2 + 68*b/3 = 0.
-34, 0, 1
Solve a**3/2 + 13*a**2/2 - 15*a = 0.
-15, 0, 2
Factor 2*y**3 + 426*y**2 - 1728*y + 1736.
2*(y - 2)**2*(y + 217)
Let 98*c**3 + 882*c**2 - 8*c - 72 = 0. Calculate c.
-9