etermine u, given that u**5 + 107*u**4 + 3114*u**3 + 13302*u**2 + 6885*u - 23409 = 0.
-51, -3, 1
Factor 5*a**3 + 1470*a**2 + 109500*a + 213160.
5*(a + 2)*(a + 146)**2
Determine i, given that -4*i**5 - 132*i**4 + 600*i**3 + 248*i**2 - 1812*i - 1332 = 0.
-37, -1, 3
Factor -2*t**2/5 + 82*t/5 - 16.
-2*(t - 40)*(t - 1)/5
What is b in 3*b**4 + 33*b**3 + 117*b**2 + 135*b = 0?
-5, -3, 0
Let -14*g**3/11 + 729*g**2/11 - 9516*g/11 + 676/11 = 0. What is g?
1/14, 26
Determine u, given that 2*u**4/5 - 4*u**3/5 - 14*u**2/5 + 8*u - 24/5 = 0.
-3, 1, 2
Factor -4*h**2 + 408*h + 412.
-4*(h - 103)*(h + 1)
Factor -2*n**2/11 + 42*n/11 + 92/11.
-2*(n - 23)*(n + 2)/11
Factor -5*d**2 + 1055*d + 2130.
-5*(d - 213)*(d + 2)
Factor 3*o**4 - 75*o**3 + 129*o**2 + 207*o.
3*o*(o - 23)*(o - 3)*(o + 1)
Factor 81*l**3/2 - 1116*l**2 - 502*l - 56.
(l - 28)*(9*l + 2)**2/2
Suppose 6*u**3/5 - 36*u**2/5 - 6*u/5 + 36/5 = 0. Calculate u.
-1, 1, 6
Factor 4*l**5/3 + 4*l**4/3 - 8*l**3.
4*l**3*(l - 2)*(l + 3)/3
Factor 2*a**4 - 44*a**3/7 + 48*a**2/7 - 20*a/7 + 2/7.
2*(a - 1)**3*(7*a - 1)/7
Let 4*a**3/7 + 14*a**2 - 72*a + 522/7 = 0. Calculate a.
-29, 3/2, 3
Factor 3*g**5 + 99*g**4 + 186*g**3.
3*g**3*(g + 2)*(g + 31)
Factor -3*u**3/7 + 3*u**2/7 + 6*u/7.
-3*u*(u - 2)*(u + 1)/7
Factor 2*r**2/9 + 100*r.
2*r*(r + 450)/9
Factor 2*j**3/9 + 94*j**2/9 - 508*j/9 + 208/3.
2*(j - 3)*(j - 2)*(j + 52)/9
Determine i, given that -i**2/2 + 55*i/2 + 57 = 0.
-2, 57
Let -t**3/3 - 287*t**2 - 2576*t/3 - 572 = 0. Calculate t.
-858, -2, -1
Suppose -2*f**2/7 - 16*f + 1024/7 = 0. Calculate f.
-64, 8
Suppose 2*c**2/3 - 10*c/3 = 0. What is c?
0, 5
Let 12*j**2/7 - 441*j + 771/7 = 0. Calculate j.
1/4, 257
Let 3*l**3 + 87*l**2 + 84*l = 0. Calculate l.
-28, -1, 0
Factor -4*b**5/3 - 3448*b**4/3 + 3456*b**3 - 10376*b**2/3 + 3460*b/3.
-4*b*(b - 1)**3*(b + 865)/3
Factor w**3 + 35*w**2 - 36*w.
w*(w - 1)*(w + 36)
Factor -r**4/8 - 23*r**3/8 - 93*r**2/8 - 45*r/8 + 81/4.
-(r - 1)*(r + 3)**2*(r + 18)/8
Let -x**4/4 + x**3/2 + 3*x**2/4 - 2*x + 1 = 0. Calculate x.
-2, 1, 2
Let -5*d**2 - 765*d - 6480 = 0. Calculate d.
-144, -9
Suppose -4*l**3 + 48*l**2 - 68*l - 120 = 0. What is l?
-1, 3, 10
Factor -a**4/2 + 15*a**3/2 - 53*a**2/2 + 21*a/2 + 45.
-(a - 10)*(a - 3)**2*(a + 1)/2
Suppose 2*m**4/9 + 34*m**3/9 - 40*m**2/9 - 8*m = 0. Calculate m.
-18, -1, 0, 2
Suppose -14*b**3/5 - 2872*b**2/3 - 408918*b/5 + 38988/5 = 0. What is b?
-171, 2/21
Let -15*i**4 + 3771*i**3 + 2274*i**2 - 1512*i = 0. What is i?
-1, 0, 2/5, 252
Determine y, given that -2*y**5/11 + 58*y**4/11 - 596*y**3/11 + 2484*y**2/11 - 3402*y/11 + 1458/11 = 0.
1, 9
Factor r**4 + 56*r**3 + 784*r**2.
r**2*(r + 28)**2
Factor -3*r**3/5 + 81*r/5 - 162/5.
-3*(r - 3)**2*(r + 6)/5
Factor 2*q**2/7 + 1878*q/7 + 268.
2*(q + 1)*(q + 938)/7
Factor -4*y**3 + 108*y**2 + 792*y.
-4*y*(y - 33)*(y + 6)
Let -5*k**3 - 3830*k**2 - 737260*k - 1459240 = 0. What is k?
-382, -2
Factor b**3/2 + 19*b**2 - 79*b/2 + 20.
(b - 1)**2*(b + 40)/2
Determine j so that 14*j**3/9 + 116*j**2/9 + 256*j/9 + 64/9 = 0.
-4, -2/7
Factor f**3 - 10*f**2 + 33*f - 36.
(f - 4)*(f - 3)**2
Suppose 3*l**5 - 18*l**3 - 24*l**2 - 9*l = 0. What is l?
-1, 0, 3
Factor 7*m**2/2 + 3*m - 1/2.
(m + 1)*(7*m - 1)/2
Factor -4*f**4 + 12*f**3 + 180*f**2 + 308*f + 144.
-4*(f - 9)*(f + 1)**2*(f + 4)
Let -2*x**5 - 148*x**4 + 2*x**3 + 148*x**2 = 0. Calculate x.
-74, -1, 0, 1
Solve 4*o**5 - 452*o**4 + 2936*o**3 + 3392*o**2 = 0.
-1, 0, 8, 106
Factor 98*s**4 + 39438*s**3 - 22560*s**2 + 3224*s.
2*s*(s + 403)*(7*s - 2)**2
What is a in a**2/3 + 134*a/3 + 133/3 = 0?
-133, -1
Factor 2*w**2 - 110*w - 112.
2*(w - 56)*(w + 1)
Determine m so that -2*m**4 - 10*m**3 - 6*m**2 + 18*m = 0.
-3, 0, 1
Factor c**2/3 + 6*c - 88/3.
(c - 4)*(c + 22)/3
What is o in 3*o**3 - 3825*o**2 + 1625625*o - 230296875 = 0?
425
Solve -2*a**2/3 - 262*a/3 = 0 for a.
-131, 0
Factor -2*w**3/7 + 562*w**2/7 - 39198*w/7 - 39762/7.
-2*(w - 141)**2*(w + 1)/7
Solve -2*p**2 - 2236*p - 624962 = 0 for p.
-559
Find p such that -p**3/6 + 86*p**2 + 517*p/6 = 0.
-1, 0, 517
Factor 5*f**5 + 105*f**4 + 820*f**3 + 2880*f**2 + 4320*f + 2160.
5*(f + 1)*(f + 2)*(f + 6)**3
Suppose -c**2/4 - 109*c/4 - 690 = 0. Calculate c.
-69, -40
Factor 4*l**2 + 240*l - 244.
4*(l - 1)*(l + 61)
Determine x so that -55*x**3 + 20*x**2 = 0.
0, 4/11
Solve 2*w**2/5 - 34*w/5 - 76/5 = 0.
-2, 19
Let 8*m**5 + 16*m**4 - 190*m**3 - 398*m**2 - 250*m - 50 = 0. Calculate m.
-5, -1, -1/2, 5
Factor -z**4/5 + 51*z**3/5 - 867*z**2/5 + 4913*z/5.
-z*(z - 17)**3/5
Suppose 15*s**3/2 + 147*s**2 + 165*s/2 - 57 = 0. Calculate s.
-19, -1, 2/5
Find k, given that k**2/4 + 4*k + 39/4 = 0.
-13, -3
Factor -3*h**4/8 + 405*h**3/4 - 201*h**2.
-3*h**2*(h - 268)*(h - 2)/8
Factor 3*t**3 + 87*t**2 - 318*t - 960.
3*(t - 5)*(t + 2)*(t + 32)
What is a in a**2/6 + 2551*a/3 + 6507601/6 = 0?
-2551
Suppose 15*v**5 - 12*v**4 - 144*v**3 + 48*v**2 + 336*v = 0. Calculate v.
-2, 0, 2, 14/5
Find l, given that -l**3/2 + 25*l**2 - 625*l/2 = 0.
0, 25
Let -t**3/6 - 25*t**2/6 + 9*t = 0. What is t?
-27, 0, 2
Factor -2*g**3/5 + 116*g**2/5 - 226*g/5 + 112/5.
-2*(g - 56)*(g - 1)**2/5
Let 4*r**5/7 + 43*r**4/7 + 137*r**3/7 + 143*r**2/7 + 27*r/7 - 18/7 = 0. What is r?
-6, -3, -1, 1/4
Suppose -2*s**2/3 + 614*s = 0. Calculate s.
0, 921
Determine p, given that p**3/7 - p**2/7 - p/7 + 1/7 = 0.
-1, 1
Let 4*r**2/5 + 84*r + 1224/5 = 0. Calculate r.
-102, -3
Factor 3*y**4 + 189*y**3 + 723*y**2 + 891*y + 354.
3*(y + 1)**2*(y + 2)*(y + 59)
Let 2*w**4/5 - 14*w**3/5 - 32*w**2/5 + 104*w/5 + 192/5 = 0. Calculate w.
-2, 3, 8
Let 2*y**4 + 336*y**3 + 13772*y**2 - 28560*y + 14450 = 0. Calculate y.
-85, 1
Find x, given that 3*x**5 - 37*x**4 + 64*x**3 + 72*x**2 - 112*x - 80 = 0.
-1, -2/3, 2, 10
Factor s**5/4 + 3*s**4/4 - s**2.
s**2*(s - 1)*(s + 2)**2/4
Factor -33*l**2 - 78*l + 288.
-3*(l - 2)*(11*l + 48)
Solve 3*j**2/2 + 5871*j = 0.
-3914, 0
Solve v**5/6 + 5*v**4/6 + v**3 - v**2/3 - 7*v/6 - 1/2 = 0.
-3, -1, 1
Find t such that 21*t**4 - 15*t**3 - 111*t**2 - 93*t - 18 = 0.
-1, -2/7, 3
Determine o so that -o**2 - 3284*o - 2696164 = 0.
-1642
Factor -l**4/2 + 33*l**3/2 - 253*l**2/2 - 357*l/2 + 289.
-(l - 17)**2*(l - 1)*(l + 2)/2
Factor 66*g**2 - 27*g.
3*g*(22*g - 9)
What is m in 2*m**3/7 + 178*m**2/7 + 3870*m/7 - 4050/7 = 0?
-45, 1
Factor -q**3/8 - q**2/2 + 5*q/8.
-q*(q - 1)*(q + 5)/8
Factor -f**2 - 87*f.
-f*(f + 87)
Factor 4*t**3 - 16*t**2 - 84*t.
4*t*(t - 7)*(t + 3)
Suppose 25*s**2/3 + 10*s/3 - 40 = 0. Calculate s.
-12/5, 2
Factor -3*w**4 - 21*w**3 - 48*w**2 - 36*w.
-3*w*(w + 2)**2*(w + 3)
Determine g, given that 4*g**2/7 - 36*g/7 - 208/7 = 0.
-4, 13
Factor -4*h**5 + 52*h**4 - 184*h**3 - 40*h**2 + 700*h + 500.
-4*(h - 5)**3*(h + 1)**2
Factor -4*c**4/3 - 44*c**3 + 92*c**2 - 140*c/3.
-4*c*(c - 1)**2*(c + 35)/3
Factor 2*b**5 - 26*b**4 + 80*b**3 - 72*b**2.
2*b**2*(b - 9)*(b - 2)**2
Factor -25*o**3 - 40*o**2 + 25*o + 40.
-5*(o - 1)*(o + 1)*(5*o + 8)
Solve -2*m**2/7 + 8*m/7 - 6/7 = 0.
1, 3
Let 2*q**3 + 124*q**2 + 896*q + 1728 = 0. Calculate q.
-54, -4
Let 2*i**5/5 - 2*i**4 - 6*i**3/5 + 26*i**2/5 + 4*i = 0. Calculate i.
-1, 0, 2, 5
Let -2*c**2/7 - 14160*c/7 - 25063200/7 = 0. What is c?
-3540
Let -2*c**2/5 - 84*c - 4410 = 0. What is c?
-105
Factor w**2 - 50*w + 49.
(w - 49)*(w - 1)
Factor a**5/4 + 11*a**4/2 + 39*a**3/2 + 28*a**2 + 73*a/4 + 9/2.
(a + 1)**4*(a + 18)/4
Determine s, given that -s**4/2 + 4*s**3 - 5*s**2/2 - 25*s = 0.
-2, 0, 5
Let -2*a**5/3 - 8*a**4/3 + 2*a**3/3 + 8*a**2/3 = 0. What is a?
-4, -1, 0, 1
Find j such that -2*j**5/13 + 12*j**4/13 - 2*j**3/13 - 48*j**2/13 - 32*j/13 = 0.
-1, 0, 4
Factor y**3/2 - 24*y**2 + 137*y/2 - 45.
(y - 45)*(y - 2)*(y - 1)/2
Determine r, given that 63*r**3 + 39*r**2 - 36*r - 12 = 0.
-1, -2/7, 2/3
Factor -4*d**3 - 10620*d**2 - 9398700*d - 2772616500.
-4*(d + 885)**3
Suppose -4*y**3/3 + 4*y**2 - 8*y/3 = 0. Calculate y.
0, 1, 2
What is y in 3*y**2 - 867*y + 9174 = 0?
11, 278
Factor 3*k**4/4 - 21*k**3/2 + 207*k**2/4 - 105*k + 75.
3*(k - 5)**2*(k - 2)**2/4
Factor -4*l**2 - 536*l.
-4*l*(l + 134)
Factor -3*j**4 + 63*j**3 - 360*j**2 + 300*j.
-3*j*(j - 10)**2*(j - 1)
Solve -9*f**5/2 + 123*f**4/4 + 147*f**3/4 - 969*f**2/4 + 591*f/4 + 63/2 = 0.
-3, -1/6, 1, 2, 7
Determine m so that m**3 - 5*m**2 - 6*m = 0.
-1, 0, 6
Suppose -t**3/8 + 235*t**2/8 - 927*t/8 + 693/8 = 0. What is t?
1, 3, 231
Factor