-h**2 + 50*h - 141 = 0.
3, 47
Find t such that -4*t**3 - 67*t**2/2 - 40*t - 21/2 = 0.
-7, -1, -3/8
Suppose 15*g**4 - 190*g**3 - 2285*g**2 + 1660*g + 800 = 0. What is g?
-8, -1/3, 1, 20
Suppose -i**2/2 - 7*i + 207/2 = 0. Calculate i.
-23, 9
Solve -2*b**2 - 456*b - 25992 = 0 for b.
-114
Solve -2*i**2/5 - 116*i/5 = 0.
-58, 0
Let -5*x**2/4 + 190*x + 2325/4 = 0. Calculate x.
-3, 155
Factor -5*m**5 - 5*m**4 + 5*m**3 + 5*m**2.
-5*m**2*(m - 1)*(m + 1)**2
Let -256*h**5 + 320*h**4 + 92*h**3 - 120*h**2 - 36*h = 0. Calculate h.
-3/8, 0, 1
Factor g**3/5 + 1797*g**2/5 + 809991*g/5 + 2413827/5.
(g + 3)*(g + 897)**2/5
Factor 4206*n**3 + 3*n**2.
3*n**2*(1402*n + 1)
Determine m, given that 5*m**2 - 40*m + 35 = 0.
1, 7
Find r, given that 4*r**3 - 40*r**2 + 36*r = 0.
0, 1, 9
Let -2*g**5/7 + 115*g**4/7 + 299*g**3/7 + 62*g**2/7 - 120*g/7 = 0. What is g?
-2, -1, 0, 1/2, 60
Factor 2*l**3 - 20*l**2 - 528*l.
2*l*(l - 22)*(l + 12)
Factor 5*b**3/6 + 425*b**2/2 + 36125*b/2 + 3070625/6.
5*(b + 85)**3/6
Find z, given that 75*z**5/2 - 285*z**4/2 - 129*z**3 + 462*z**2 - 276*z + 48 = 0.
-2, 2/5, 1, 4
Determine u so that -u**3 + 55*u**2 - 54*u = 0.
0, 1, 54
Factor 4*z**4/7 + 40*z**3/7 + 132*z**2/7 + 176*z/7 + 80/7.
4*(z + 1)*(z + 2)**2*(z + 5)/7
Determine q so that 3*q**2 + 282*q + 5952 = 0.
-62, -32
Let 15*x**5/4 - 51*x**4/4 - 27*x**3/4 + 183*x**2/4 - 39*x + 9 = 0. What is x?
-2, 2/5, 1, 3
Factor -p**3/6 + 3*p**2/2 + 17*p/3 + 4.
-(p - 12)*(p + 1)*(p + 2)/6
Factor j**4/10 - 3*j**3/5 + 9*j**2/10.
j**2*(j - 3)**2/10
Factor 13*m**5/7 + 4*m**4/7 - 114*m**3/7 - 236*m**2/7 - 179*m/7 - 48/7.
(m + 1)**4*(13*m - 48)/7
Factor 15*b**3 + 444*b**2/5 + 339*b/5 - 6.
3*(b + 1)*(b + 5)*(25*b - 2)/5
Find n, given that -20*n**3 - 115*n**2 + 170*n - 35 = 0.
-7, 1/4, 1
Factor -5*j**3 + 60*j**2 - 145*j - 210.
-5*(j - 7)*(j - 6)*(j + 1)
Factor 20*z**5 + 96*z**4 + 160*z**3 + 104*z**2 + 12*z - 8.
4*(z + 1)**3*(z + 2)*(5*z - 1)
Determine c so that c**2/6 + 29*c/2 - 144 = 0.
-96, 9
Suppose 2*i**2/3 + 1784*i/3 + 397832/3 = 0. Calculate i.
-446
Determine a, given that -2*a**4 + 386*a**3/9 - 572*a**2/3 + 2416*a/9 - 256/3 = 0.
4/9, 2, 3, 16
Factor 3*c**4/5 + 762*c**3/5 + 12528*c**2 + 1498662*c/5 - 13828563/5.
3*(c - 7)*(c + 87)**3/5
Factor -2*c**2/7 + 3096*c/7 - 1198152/7.
-2*(c - 774)**2/7
Suppose 4*z**2 + 296*z + 292 = 0. What is z?
-73, -1
Find p, given that -2*p**4/13 - 30*p**3 - 18812*p**2/13 + 19992*p/13 + 38416/13 = 0.
-98, -1, 2
Factor -28*f**3 - 160*f**2 + 244*f - 56.
-4*(f - 1)*(f + 7)*(7*f - 2)
Let 2*x**2/23 + 48*x/23 - 512/23 = 0. What is x?
-32, 8
Let -6*j**4/19 - 46*j**3/19 + 22*j**2/19 + 46*j/19 - 16/19 = 0. What is j?
-8, -1, 1/3, 1
Determine z, given that 3*z**5 - 60*z**4 + 351*z**3 - 258*z**2 - 1824*z - 1152 = 0.
-1, 6, 8
Factor 4*f**2 - 60*f - 216.
4*(f - 18)*(f + 3)
Let -2*r**4 - 92*r**3 + 102*r**2 + 368*r - 376 = 0. What is r?
-47, -2, 1, 2
Let -4*d**2 + 28*d - 40 = 0. What is d?
2, 5
Factor 4*i**4/3 - 68*i**2/3 + 48*i - 80/3.
4*(i - 2)**2*(i - 1)*(i + 5)/3
Factor -j**3/2 + 141*j**2/2 - 274*j.
-j*(j - 137)*(j - 4)/2
Suppose 2*n**2/9 - 118*n/9 + 76/3 = 0. Calculate n.
2, 57
What is q in 4*q**4/9 - 752*q**3/9 - 764*q**2/3 - 16*q/9 + 3056/9 = 0?
-2, 1, 191
Factor c**2/8 + 77*c/4 + 5929/8.
(c + 77)**2/8
Factor 5*i**2 + 19285*i + 38550.
5*(i + 2)*(i + 3855)
Factor 4*g**2 + 376*g + 372.
4*(g + 1)*(g + 93)
Factor -o**5 + 36*o**4 - 35*o**3.
-o**3*(o - 35)*(o - 1)
What is x in 3*x**2/7 + 4134*x/7 - 12429/7 = 0?
-1381, 3
Find m, given that 2*m**2 + 6*m - 140 = 0.
-10, 7
Factor f**2 + 7*f/3 - 26/3.
(f - 2)*(3*f + 13)/3
Find u such that u**4 - 8*u**3 - 19*u**2 + 290*u - 600 = 0.
-6, 4, 5
Let 240*q**2 + 964*q + 16 = 0. What is q?
-4, -1/60
Factor -2*a**5/7 + 4*a**4 - 92*a**3/7 + 128*a**2/7 - 82*a/7 + 20/7.
-2*(a - 10)*(a - 1)**4/7
Solve 8*v**5/9 + 82*v**4/9 - 4*v**3 - 622*v**2/9 - 632*v/9 - 40/3 = 0.
-10, -2, -1, -1/4, 3
Factor 4*n**3 - 96*n**2 + 576*n - 1024.
4*(n - 16)*(n - 4)**2
Factor 5*p**3 - 950*p**2 + 1885*p - 940.
5*(p - 188)*(p - 1)**2
Solve -36*w**5/7 - 96*w**4/7 + 188*w**3/7 - 24*w**2/7 - 32*w/7 = 0.
-4, -1/3, 0, 2/3, 1
Suppose j**2/5 - 5318*j/5 + 7070281/5 = 0. What is j?
2659
Factor 2*l**3 + 2*l**2 - 4*l.
2*l*(l - 1)*(l + 2)
Let 7*r**3 - 5*r**2 - 44*r - 12 = 0. Calculate r.
-2, -2/7, 3
Determine z, given that -6*z**3 + 32*z**2 + 24*z = 0.
-2/3, 0, 6
Determine f so that -2*f**2 + 298*f = 0.
0, 149
Factor -102*v**2/5 - 96*v/5 + 6/5.
-6*(v + 1)*(17*v - 1)/5
What is t in 2*t**3 + 74*t**2 + 870*t + 3150 = 0?
-15, -7
Find s, given that 3*s**3/4 - 1371*s**2/2 - 5493*s/4 - 687 = 0.
-1, 916
Let 4*p**2 - 1076*p = 0. What is p?
0, 269
What is y in 3*y**2 - 60*y - 132 = 0?
-2, 22
Factor -s**3/9 - 2*s**2/9 + 131*s/9 + 44/3.
-(s - 11)*(s + 1)*(s + 12)/9
Factor -3*j**2 - 18*j - 24.
-3*(j + 2)*(j + 4)
Factor 2*g**2 - 70*g - 148.
2*(g - 37)*(g + 2)
Let -3*w**2/5 - 2796*w/5 + 5604/5 = 0. What is w?
-934, 2
Let 4*h**4/5 + 104*h**3/5 + 84*h**2/5 - 416*h/5 - 80 = 0. Calculate h.
-25, -2, -1, 2
Find j, given that -j**3/5 + 814*j**2/5 - 3244*j/5 + 648 = 0.
2, 810
Let -6*m**2 + 1702*m/3 + 760/3 = 0. Calculate m.
-4/9, 95
Determine j so that j**4/2 + 4*j**3 + 15*j**2/2 = 0.
-5, -3, 0
Solve -7*s**5/8 + 3*s**4/2 + 11*s**3/8 - 3*s**2/2 - s/2 = 0 for s.
-1, -2/7, 0, 1, 2
Find x such that -5*x**2 + 1060*x - 56180 = 0.
106
Let 2*n**3 - 44*n**2 - 2*n + 44 = 0. Calculate n.
-1, 1, 22
Suppose 9*l**5 + 21*l**4 - 8*l**3 - 36*l**2 - 16*l = 0. What is l?
-2, -1, -2/3, 0, 4/3
Find g such that -4*g**2/7 + 148*g/7 - 144/7 = 0.
1, 36
Factor 5*i**2 - 260*i - 540.
5*(i - 54)*(i + 2)
Factor 3*d**4/2 + 12*d**3 - 66*d**2 + 72*d.
3*d*(d - 2)**2*(d + 12)/2
Suppose -t**2/11 + 5982*t/11 - 8946081/11 = 0. What is t?
2991
Factor -4*o**4 - 56*o**3 + 784*o**2 + 10976*o.
-4*o*(o - 14)*(o + 14)**2
Suppose -4*d**4 - 606*d**3 + 1532*d**2 - 1230*d + 308 = 0. What is d?
-154, 1/2, 1
Factor -k**5/2 + k**4 - 5*k**3/8 + k**2/8.
-k**2*(k - 1)*(2*k - 1)**2/8
Factor 2*s**2 + 8*s + 6.
2*(s + 1)*(s + 3)
Let 2*i**3 - 206*i**2 + 4156*i - 3952 = 0. Calculate i.
1, 26, 76
Find h such that h**4/5 + 38*h**3/5 + 21*h**2 = 0.
-35, -3, 0
Solve 3*g**2/8 - 117*g/8 - 123/4 = 0 for g.
-2, 41
Find p such that 4*p**4/5 + 604*p**3/5 + 2324*p**2/5 - 4156*p/5 - 1176 = 0.
-147, -5, -1, 2
Determine z, given that -5*z**3 - 55*z**2 - 195*z - 225 = 0.
-5, -3
Determine y, given that y**4/6 - 27*y**3 + 473*y**2/6 + 106*y = 0.
-1, 0, 4, 159
Let -2*a**4/5 + 2*a**3 + 14*a**2 + 6*a - 108/5 = 0. Calculate a.
-3, -2, 1, 9
Determine c, given that -2*c**2/19 - 524*c/19 - 1040/19 = 0.
-260, -2
Factor 3*a**2/7 - 6096*a/7.
3*a*(a - 2032)/7
Determine a, given that -a**4/3 + 32*a**3/3 + 7*a**2/3 - 218*a/3 - 64 = 0.
-2, -1, 3, 32
Let -3*k**5 - 60*k**4 - 300*k**3 + 480*k**2 + 3840*k - 6144 = 0. Calculate k.
-8, 2
Factor 60*b**2 + 248*b + 32.
4*(b + 4)*(15*b + 2)
Factor -5*m**2 + 150*m + 320.
-5*(m - 32)*(m + 2)
Factor 2*j**2/9 + 1816*j/9 + 1814/9.
2*(j + 1)*(j + 907)/9
Factor 10*j**2 + 5*j - 5.
5*(j + 1)*(2*j - 1)
Suppose 2*j**5/9 - 52*j**4/3 + 452*j**3/9 - 16*j**2 - 454*j/9 + 100/3 = 0. What is j?
-1, 1, 2, 75
Let -15*z**5 - 205*z**4 - 425*z**3 + 1845*z**2 - 1520*z + 320 = 0. What is z?
-8, 1/3, 1
Factor 2*y**3 + 18*y**2 + 48*y + 40.
2*(y + 2)**2*(y + 5)
Determine t so that 2*t**4 - 284*t**3/5 - 488*t**2/5 + 48*t = 0.
-2, 0, 2/5, 30
Solve -p**5/2 - 5*p**4/2 + 53*p**3/2 + 373*p**2/2 + 190*p - 400 = 0.
-5, -4, 1, 8
Let -3*f**3/5 - 39*f**2/5 - 36*f/5 = 0. Calculate f.
-12, -1, 0
Find j, given that -j**2 + 21*j = 0.
0, 21
What is c in 4*c**3 - 20*c**2 + 12*c + 36 = 0?
-1, 3
Factor 3*x**3/2 + 120*x**2 + 462*x + 456.
3*(x + 2)**2*(x + 76)/2
Factor t**3/2 - 66*t**2 + 2040*t + 9248.
(t - 68)**2*(t + 4)/2
Factor -3*i**2 - 186*i - 531.
-3*(i + 3)*(i + 59)
Factor -b**2/3 - 13*b + 40/3.
-(b - 1)*(b + 40)/3
Factor -4*l**3 - 284*l**2 - 4588*l + 16428.
-4*(l - 3)*(l + 37)**2
Factor 5*z**3/4 - 35*z**2/4 + 10*z + 20.
5*(z - 4)**2*(z + 1)/4
Let 13*c**5 - c**4 - 13*c**3 + c**2 = 0. Calculate c.
-1, 0, 1/13, 1
Factor -q**4/9 - q**3/9 + q**2/9 + q/9.
-q*(q - 1)*(q + 1)**2/9
Determine v, given that -4*v**3 + 836*v**2 - 1660*v + 828 = 0.
1, 207
Factor b**3/8 - 69*b**2/4 + 1587*b/2 - 12167.
(b - 46)**3/8
Factor 2*m**5/9 + 26*m**4/9 + 22*m**3/3 + 62*m**2/9 + 20*m/9.
2*m*(m + 1)**3*(m + 10)/9
What is q in -3*q**2/