ven that -4*r**2 - 92*r - 360 = 0.
-18, -5
Solve 2*g**4 + 622*g**3 - 5706*g**2 + 17226*g - 17280 = 0.
-320, 3
Suppose -y**3 + 670*y**2 - 667*y - 1338 = 0. Calculate y.
-1, 2, 669
Factor -3*b**2/7 + 18*b/7 + 3.
-3*(b - 7)*(b + 1)/7
Factor -2*z**2 - 2072*z - 536648.
-2*(z + 518)**2
Factor l**2 - 40*l - 41.
(l - 41)*(l + 1)
Factor w**2 + 7*w.
w*(w + 7)
Determine l so that -2*l**4 - 140*l**3 - 1024*l**2 - 1984*l = 0.
-62, -4, 0
Determine j, given that j**4/5 + 4*j**3/5 + j**2 + 2*j/5 = 0.
-2, -1, 0
Factor -c**2 + 2348*c - 1378276.
-(c - 1174)**2
Factor -2*o**4 - 18*o**3 - 42*o**2 - 38*o - 12.
-2*(o + 1)**3*(o + 6)
What is f in -6*f**5/13 + 14*f**4/13 + 68*f**3/13 + 60*f**2/13 + 2*f/13 - 10/13 = 0?
-1, 1/3, 5
Factor 2*c**2/5 + 844*c/5 - 5136/5.
2*(c - 6)*(c + 428)/5
Suppose -3*q**5 - 15*q**4 + 45*q**3 + 195*q**2 + 210*q + 72 = 0. Calculate q.
-6, -1, 4
Factor 19*w**2/7 - 151*w/7 - 8/7.
(w - 8)*(19*w + 1)/7
Factor 2*o**4/5 - 4*o**3 + 66*o**2/5 - 16*o + 32/5.
2*(o - 4)**2*(o - 1)**2/5
Solve 3*x**3 - 69*x**2 + 525*x - 1323 = 0 for x.
7, 9
Solve g**4/8 + 49*g**3/8 + 669*g**2/8 + 1679*g/8 + 529/4 = 0 for g.
-23, -2, -1
Suppose -3*i**2 - 6*i + 105 = 0. What is i?
-7, 5
Suppose m**5/2 + 179*m**4/2 + 5309*m**3 + 102420*m**2 - 118800*m - 216000 = 0. What is m?
-60, -1, 2
Find v, given that -v**2/4 + 40*v + 81 = 0.
-2, 162
Factor c**4 + 29*c**3 + 159*c**2 - 189*c.
c*(c - 1)*(c + 9)*(c + 21)
Factor 4*i**3/7 + 20*i**2/7 - 32*i/7 - 48/7.
4*(i - 2)*(i + 1)*(i + 6)/7
Let 294*y**2/5 + 3*y/5 = 0. Calculate y.
-1/98, 0
Factor -4*l**2 + 11464*l - 8213956.
-4*(l - 1433)**2
Solve -60*g**5 + 69*g**4 + 237*g**3 - 282*g**2 + 12*g + 24 = 0 for g.
-2, -1/4, 2/5, 1, 2
Let -3*x**3 + 768*x**2 - 1527*x + 762 = 0. What is x?
1, 254
Factor -2*h**3/11 - 8*h**2/11 + 50*h/11 + 56/11.
-2*(h - 4)*(h + 1)*(h + 7)/11
Factor -4*y**2/5 + 864*y/5 - 46656/5.
-4*(y - 108)**2/5
Factor -7*w**4/3 + 16*w**3/3 - 4*w**2/3.
-w**2*(w - 2)*(7*w - 2)/3
Solve -2*t**2/3 - 32*t/3 + 520/3 = 0 for t.
-26, 10
Factor -2*d**3/3 + 2774*d**2/9 + 1852*d/9.
-2*d*(d - 463)*(3*d + 2)/9
Factor 2*t**3/3 - 28*t**2/3 + 86*t/3 - 20.
2*(t - 10)*(t - 3)*(t - 1)/3
What is z in -2*z**2/5 - 18*z/5 - 8 = 0?
-5, -4
Factor j**2/3 - 8*j/3 - 3.
(j - 9)*(j + 1)/3
What is x in 4*x**3 - 548*x**2 - 576*x + 3312 = 0?
-3, 2, 138
What is f in -75*f**5 + 580*f**4 - 1220*f**3 + 1050*f**2 - 385*f + 50 = 0?
1/3, 2/5, 1, 5
Factor -2*g**4/7 - 36*g**3 + 768*g**2/7 - 772*g/7 + 258/7.
-2*(g - 1)**3*(g + 129)/7
Factor -l**3/2 - 17*l**2 - 289*l/2.
-l*(l + 17)**2/2
Factor -2*d**3/7 + 66*d**2 + 930*d/7 + 466/7.
-2*(d - 233)*(d + 1)**2/7
Factor -c**2/8 - 3293*c/8.
-c*(c + 3293)/8
Let 3*g**3 - 69*g**2 + 267*g/4 - 33/2 = 0. What is g?
1/2, 22
Suppose -2*d**4/3 - 14*d**3/3 + 80*d**2/3 - 88*d/3 = 0. Calculate d.
-11, 0, 2
Factor 2*q**2 - 454*q - 1848.
2*(q - 231)*(q + 4)
Determine h, given that -9*h**3/8 - 69*h**2/8 - 111*h/8 + 45/8 = 0.
-5, -3, 1/3
Determine s so that s**5/2 - 6*s**4 + s**3/2 + 51*s**2 + 44*s = 0.
-2, -1, 0, 4, 11
Factor -2*l**3/13 + 3696*l**2/13 - 3694*l/13.
-2*l*(l - 1847)*(l - 1)/13
Suppose -5*r**3/3 + 5*r**2/3 + 10*r/3 = 0. What is r?
-1, 0, 2
Let 3*i**5 - 3*i**4 - 27*i**3 + 3*i**2 + 60*i + 36 = 0. Calculate i.
-2, -1, 2, 3
Let t**5 - 11*t**4/2 - 27*t**3/2 + 76*t**2 - 82*t + 24 = 0. What is t?
-4, 1/2, 1, 2, 6
Factor 3*l**4 + 108*l**3 + 207*l**2 + 102*l.
3*l*(l + 1)**2*(l + 34)
Find l such that -2*l**2/5 - 22*l - 752/5 = 0.
-47, -8
Factor -14*x**2 + 2944*x - 840.
-2*(x - 210)*(7*x - 2)
Solve g**3/5 + 3*g**2/5 - 4*g/5 = 0 for g.
-4, 0, 1
Determine o so that 6615*o**5 + 40194*o**4 + 412068*o**3/5 + 295128*o**2/5 + 20736*o/5 + 384/5 = 0.
-2, -4/105
Solve -4*o**4 - 40*o**3 - 140*o**2 - 200*o - 96 = 0 for o.
-4, -3, -2, -1
Factor -3*x**4 - 152*x**3 - 664*x**2 - 928*x - 368.
-(x + 2)**2*(x + 46)*(3*x + 2)
Find b, given that 2*b**5 + 6*b**4 + 2*b**3 - 6*b**2 - 4*b = 0.
-2, -1, 0, 1
Factor -b**4/3 + b**3/3 + 3*b**2 - 3*b.
-b*(b - 3)*(b - 1)*(b + 3)/3
Factor v**2/5 - 7*v/5 - 12.
(v - 12)*(v + 5)/5
Suppose -3*a**3 - 1074*a**2 + 1077*a = 0. What is a?
-359, 0, 1
Factor -4*t**4 - 104*t**3 - 100*t**2.
-4*t**2*(t + 1)*(t + 25)
Factor -5*a**4 + 420*a**3 + 430*a**2 - 420*a - 425.
-5*(a - 85)*(a - 1)*(a + 1)**2
Factor 16*h**5 + 128*h**4 - 140*h**3 + 36*h**2.
4*h**2*(h + 9)*(2*h - 1)**2
Determine k so that -4*k**2/5 - 3588*k/5 + 7192/5 = 0.
-899, 2
Factor -5*h**2 - 5015*h - 5010.
-5*(h + 1)*(h + 1002)
Suppose 8*b**3 - 92*b**2 = 0. Calculate b.
0, 23/2
Factor p**2/4 + 32*p + 1024.
(p + 64)**2/4
Factor -m**2/4 - 5*m/2 + 6.
-(m - 2)*(m + 12)/4
Determine k, given that -741*k**2 - 6*k = 0.
-2/247, 0
Let 4*a**5/5 - 2*a**4/5 - 6*a**3 - 2*a**2 + 26*a/5 + 12/5 = 0. Calculate a.
-2, -1, -1/2, 1, 3
Solve 2*b**2/5 - 80*b - 402/5 = 0.
-1, 201
Solve 2*l**4/13 - 404*l**3/13 = 0.
0, 202
Suppose 4*g**2 + 900*g = 0. Calculate g.
-225, 0
Factor -2*b**3/9 + 14*b**2/3 - 40*b/9.
-2*b*(b - 20)*(b - 1)/9
Factor 2*l**2 + 4*l/3 - 16/3.
2*(l + 2)*(3*l - 4)/3
Let 4*f**4/3 + 32*f**3/3 + 12*f**2 - 24*f = 0. Calculate f.
-6, -3, 0, 1
Factor -3*m**3 + 18*m**2 - 15*m.
-3*m*(m - 5)*(m - 1)
Factor 5*z**3 - 12285*z**2 + 10061415*z - 2746766295.
5*(z - 819)**3
Let -12*t**3 + 4736*t**2 - 468860*t + 310472 = 0. Calculate t.
2/3, 197
Suppose 12*i**4 - 188*i**3 + 860*i**2 - 868*i - 392 = 0. Calculate i.
-1/3, 2, 7
Determine c, given that -3*c**3 - 210*c**2 - 1323*c = 0.
-63, -7, 0
What is d in -3*d**2 + 609*d + 1230 = 0?
-2, 205
Factor 3*b**5 - 21*b**4 - 12*b**3 + 336*b**2 - 576*b.
3*b*(b - 4)**2*(b - 3)*(b + 4)
Determine l, given that -2*l**3/9 - 2*l**2/9 + 40*l/9 = 0.
-5, 0, 4
Suppose -40*c**3 + 84*c**2 + 280*c + 96 = 0. What is c?
-3/2, -2/5, 4
Factor 2*v**3/13 + 116*v**2/13 + 1920*v/13 + 9792/13.
2*(v + 12)**2*(v + 34)/13
Factor -f**5/3 + f**4 + 10*f**3/3.
-f**3*(f - 5)*(f + 2)/3
Find a such that 36*a**3 - 548*a**2 + 120*a = 0.
0, 2/9, 15
Factor 2*j**3 - 4322*j**2 - 2*j + 4322.
2*(j - 2161)*(j - 1)*(j + 1)
Determine a so that -3*a**3 + 297*a**2 - 582*a = 0.
0, 2, 97
Solve 3*v**4 - 102*v**3 + 663*v**2 - 1032*v + 468 = 0.
1, 6, 26
Factor -8*j**2/7 + 562*j/7 - 20.
-2*(j - 70)*(4*j - 1)/7
Factor f**3 - 27*f**2 + 119*f + 147.
(f - 21)*(f - 7)*(f + 1)
Determine j, given that -3*j**4 + 1197*j**3 - 118782*j**2 - 127200*j + 720000 = 0.
-3, 2, 200
Let -2*a**4/7 - 2*a**3 - 18*a**2/7 + 2*a + 20/7 = 0. What is a?
-5, -2, -1, 1
Factor 6*o**3 + 129*o**2 + 471*o + 204.
3*(o + 4)*(o + 17)*(2*o + 1)
Factor -2*c**5/5 + 2*c**4/5.
-2*c**4*(c - 1)/5
What is l in -2*l**5/5 - 204*l**4/5 - 1040*l**3 + 204*l**2/5 + 5202*l/5 = 0?
-51, -1, 0, 1
Solve 4*i**2 + 312*i - 316 = 0.
-79, 1
What is y in -4*y**5 - 84*y**4 + 1020*y**3 - 1772*y**2 + 840*y = 0?
-30, 0, 1, 7
Factor 4*v**4/5 - 8676*v**3/5.
4*v**3*(v - 2169)/5
Find o such that 5*o**5/2 + 5*o**4/2 - 5*o**3 = 0.
-2, 0, 1
Let 2*p**5/5 + 4*p**4/5 - 2*p**3 - 12*p**2/5 = 0. What is p?
-3, -1, 0, 2
Find v, given that -3*v**3/4 + 6*v**2 + 3*v/4 - 6 = 0.
-1, 1, 8
Solve -2*f**5/5 - 88*f**4/5 - 968*f**3/5 = 0 for f.
-22, 0
Factor -3*q**3 + 15*q**2 + 66*q + 48.
-3*(q - 8)*(q + 1)*(q + 2)
Let -2*l**5/11 - 10*l**4/11 + 4*l**3/11 + 20*l**2/11 - 2*l/11 - 10/11 = 0. Calculate l.
-5, -1, 1
Factor -2*y**5/15 + 16*y**4/5 - 6*y**3 - 180*y**2.
-2*y**2*(y - 15)**2*(y + 6)/15
Factor 2*w**2 - 1262*w + 2516.
2*(w - 629)*(w - 2)
Determine r so that -4*r**2 + 252*r + 256 = 0.
-1, 64
Suppose -12*l**3/5 + 134*l**2/5 - 88*l + 70 = 0. Calculate l.
7/6, 5
Factor -3*k**2/5 + 648*k/5 - 34992/5.
-3*(k - 108)**2/5
Factor -t**4/4 - 537*t**3 - 865107*t**2/2 - 154854153*t - 83156680161/4.
-(t + 537)**4/4
Find g, given that 5*g**3 - 165*g**2 + 600*g - 580 = 0.
2, 29
Find q, given that 4*q**5/9 + 4*q**4/9 - 32*q**3/9 - 16*q**2/3 = 0.
-2, 0, 3
Suppose 2*f**3 - 176*f**2 - 178*f = 0. Calculate f.
-1, 0, 89
Suppose -16*v**5 - 652*v**4 + 1524*v**3 - 1028*v**2 + 172*v = 0. Calculate v.
-43, 0, 1/4, 1
Factor -h**2 - 196*h + 197.
-(h - 1)*(h + 197)
Find s such that -2*s**3 - 14*s**2 + 34*s - 18 = 0.
-9, 1
Factor m**4 + 15*m**3 + 67*m**2 + 93*m + 40.
(m + 1)**2*(m + 5)*(m + 8)
Find q, given that -3*q**3 - 7*q**2 + 66*q = 0.
-6, 0, 11/3
Factor -2*q**3/5 + 2*q**2/5 + 8*q/5 - 8/5.
-2*(q - 2)*(q - 1)*(q + 2)/5
Factor -4*d**2/3 - 32*d/3 + 12.
-4*(d - 1)*(d + 9)/3
Factor 2*y**2/9 - 38*y/3 + 520/9.
2*(y - 52)*(y -