Find g, given that -15*g**4 + 10*g**3 + 65*g**2 - 40*g - 20 = 0.
-2, -1/3, 1, 2
Factor 10*z**3 + 35*z**2 - 20*z.
5*z*(z + 4)*(2*z - 1)
Factor -u**3/6 + 2*u**2/3 + 5*u/2 - 3.
-(u - 6)*(u - 1)*(u + 3)/6
Suppose 4*h**3/3 - 7090*h**2/3 + 3136432*h/3 + 1573538 = 0. What is h?
-3/2, 887
Determine p, given that 30*p**4 - 159*p**3 + 15*p**2 + 159*p - 45 = 0.
-1, 3/10, 1, 5
What is t in -3*t**3 - 2202*t**2 - 4395*t - 2196 = 0?
-732, -1
Factor -2*a**3/9 - 112*a**2/9 - 686*a/3 - 1372.
-2*(a + 14)*(a + 21)**2/9
What is i in -i**2/2 - 325*i/2 + 327 = 0?
-327, 2
Determine d so that -7*d**3/3 - 95*d**2/6 - 76*d/3 - 6 = 0.
-9/2, -2, -2/7
What is q in 35*q**4 + 45*q**3 - 1530*q**2 - 3380*q - 840 = 0?
-6, -2, -2/7, 7
Factor -4*k**3 - 212*k**2 - 1148*k - 940.
-4*(k + 1)*(k + 5)*(k + 47)
Find o such that -22*o**4 + 96*o**3 - 360*o**2/11 + 32*o/11 = 0.
0, 2/11, 4
Factor y**2/11 + 929*y/11 + 1854/11.
(y + 2)*(y + 927)/11
Solve -x**5/5 + 2*x**3 - 4*x**2 + 3*x - 4/5 = 0 for x.
-4, 1
Factor -j**3/4 - 51*j**2/4 - 99*j/4 - 49/4.
-(j + 1)**2*(j + 49)/4
Factor g**4/5 + 32*g**3/5 - 12*g**2/5 - 368*g/5 + 512/5.
(g - 2)**2*(g + 4)*(g + 32)/5
Determine b, given that -2*b**2/13 + 14*b/13 - 24/13 = 0.
3, 4
Find y such that 2*y**4/15 - 2*y**3/5 - 2*y**2/15 + 2*y/5 = 0.
-1, 0, 1, 3
Solve t**4/4 - 2*t**3 + 9*t**2/4 + 19*t/2 - 10 = 0 for t.
-2, 1, 4, 5
Suppose 5*u**3 - 1005*u**2 + 67335*u - 1503815 = 0. What is u?
67
Factor -4*p**3/3 - p**2 + 25*p/3 - 2.
-(p - 2)*(p + 3)*(4*p - 1)/3
Determine l, given that -2*l**3/3 - 40*l**2/3 - 128*l/3 = 0.
-16, -4, 0
What is n in 2*n**5 + 40*n**4 + 146*n**3 - 644*n**2 - 616*n + 1936 = 0?
-11, -2, 2
Determine j, given that -3*j**2/4 + 33*j/4 - 18 = 0.
3, 8
Find c such that 5*c**3 - 215*c**2 - 220*c = 0.
-1, 0, 44
Determine n so that -361*n**4/5 - 931*n**3/5 - 282*n**2/5 + 256*n/5 - 32/5 = 0.
-2, -1, 4/19
Factor -2*m**2/7 - 12*m/7 + 144/7.
-2*(m - 6)*(m + 12)/7
Solve -5*a**4 - 131*a**3 + 281*a**2 + 779*a - 924 = 0.
-28, -11/5, 1, 3
Factor -5*v**3 + 225*v**2 + 710*v + 480.
-5*(v - 48)*(v + 1)*(v + 2)
Factor 6*h**4 - 128*h**3 - 234*h**2 + 92*h.
2*h*(h - 23)*(h + 2)*(3*h - 1)
Suppose -2*x**3/11 - 200*x**2/11 - 3016*x/11 + 107648/11 = 0. What is x?
-58, 16
Let 4*u**2/5 - 344*u/5 = 0. Calculate u.
0, 86
Factor -4*x**3 + 976*x**2 + 980*x.
-4*x*(x - 245)*(x + 1)
Factor -4*m**3 - 48*m**2 + 124*m + 168.
-4*(m - 3)*(m + 1)*(m + 14)
Factor -3*f**2 - 696*f - 40368.
-3*(f + 116)**2
Factor 4*t**2 - 1152*t - 1156.
4*(t - 289)*(t + 1)
Let 69*g**2 - 1248*g + 108 = 0. Calculate g.
2/23, 18
Factor 45*a**4 - 10*a**3 - 180*a**2 + 40*a.
5*a*(a - 2)*(a + 2)*(9*a - 2)
Suppose -729*h**5 - 82863*h**4 + 112644*h**3 + 99568*h**2 + 23936*h + 1840 = 0. What is h?
-115, -2/9, 2
Determine q so that q**5/2 - 15*q**4/2 + 41*q**3 - 99*q**2 + 205*q/2 - 75/2 = 0.
1, 3, 5
Factor 3*f**5/8 - 39*f**4/8 + 45*f**3/2 - 42*f**2 + 24*f.
3*f*(f - 4)**3*(f - 1)/8
Determine y, given that -12*y**4 - 59*y**3 - 19*y**2 + 98*y - 8 = 0.
-4, -2, 1/12, 1
Factor -2*o**2 + 2*o + 4.
-2*(o - 2)*(o + 1)
Solve -o**4 + 99*o**3 - 195*o**2 + 97*o = 0.
0, 1, 97
Find x such that 5*x**2 - 145*x + 500 = 0.
4, 25
Factor -2*r**2/7 + 190*r/7 - 372/7.
-2*(r - 93)*(r - 2)/7
Factor -3*a**5 + 3*a**3.
-3*a**3*(a - 1)*(a + 1)
Let 35*o**2 - 2615*o - 750 = 0. Calculate o.
-2/7, 75
Suppose 68*n**3 - 4*n**2 = 0. Calculate n.
0, 1/17
Suppose 25*j**5 - 10*j**4 - 25*j**3 + 10*j**2 = 0. Calculate j.
-1, 0, 2/5, 1
Solve -2*w**4/15 - 8*w**3/3 - 148*w**2/15 + 8*w/3 + 10 = 0.
-15, -5, -1, 1
Solve -4*d**3/3 + 100*d**2/3 + 452*d/3 + 116 = 0.
-3, -1, 29
Suppose 2*m**3/13 - 258*m**2/13 - 522*m/13 - 262/13 = 0. What is m?
-1, 131
Factor -m**4/4 + 71*m**3/4 + 111*m**2/2 + m - 74.
-(m - 74)*(m - 1)*(m + 2)**2/4
Find l, given that 301*l**2 + 2*l/3 = 0.
-2/903, 0
Factor 2*g**3/5 + 168*g**2/5 + 3528*g/5.
2*g*(g + 42)**2/5
Factor 4*t**5/3 - 200*t**4 - 2996*t**3 - 32144*t**2/3.
4*t**2*(t - 164)*(t + 7)**2/3
Suppose -m**5 + 7*m**3 + 6*m**2 = 0. What is m?
-2, -1, 0, 3
Factor -21*h**4/4 - 51*h**3/4 - 39*h**2/4 - 9*h/4.
-3*h*(h + 1)**2*(7*h + 3)/4
Factor -4*b**3 + 2024*b**2/3 - 28672*b + 18816.
-4*(b - 84)**2*(3*b - 2)/3
Let 2*k**5/9 + 214*k**4/9 - 436*k**3/9 = 0. Calculate k.
-109, 0, 2
Factor -2*m**2/13 - 296*m/13 - 10952/13.
-2*(m + 74)**2/13
What is l in 5*l**3 + 165*l**2 + 1575*l + 3375 = 0?
-15, -3
Suppose -2*r**4/3 - 46*r**3/3 + 108*r**2 - 680*r/3 + 464/3 = 0. What is r?
-29, 2
Factor k**2 + 472*k + 471.
(k + 1)*(k + 471)
Find p, given that 15*p**3 + 10*p**2 - 5*p = 0.
-1, 0, 1/3
Solve -6*v**3 + 82*v**2 + 118*v + 30 = 0 for v.
-1, -1/3, 15
Factor -20*d**3/3 - 296*d**2 - 3344*d - 3872/3.
-4*(d + 22)**2*(5*d + 2)/3
Let 3*o**2/8 - 39*o/8 - 171/4 = 0. What is o?
-6, 19
Factor -o**4/3 - 8*o**3/3 - 19*o**2/3 - 4*o.
-o*(o + 1)*(o + 3)*(o + 4)/3
Solve 2*b**3 + 2*b**2 = 0 for b.
-1, 0
Factor -4*f**3/5 - 32*f**2/5 + 76*f/5 - 8.
-4*(f - 1)**2*(f + 10)/5
Solve l**3/5 - 14*l**2 + 1152*l/5 + 2592/5 = 0 for l.
-2, 36
Solve -3*a**4 - 48*a**3 - 42*a**2 + 48*a + 45 = 0 for a.
-15, -1, 1
Find z, given that -14*z**5/3 + 200*z**4/3 - 182*z**3 + 448*z**2/3 - 88*z/3 = 0.
0, 2/7, 1, 2, 11
Factor 3*v**5 + 1014*v**4 + 118731*v**3 + 5296428*v**2 + 58051728*v + 185177664.
3*(v + 7)**2*(v + 108)**3
Determine x so that x**3 + 45*x**2 - x - 45 = 0.
-45, -1, 1
Find j such that j**5 - 76*j**4 + 501*j**3 - 1262*j**2 + 1388*j - 552 = 0.
1, 2, 69
Factor j**3 + 8*j**2 + 19*j + 12.
(j + 1)*(j + 3)*(j + 4)
Suppose 9*q**5/7 + 57*q**4/7 - 510*q**3/7 + 1140*q**2/7 - 984*q/7 + 288/7 = 0. What is q?
-12, 2/3, 1, 2
Let -25*w**2 + 1665*w + 2380 = 0. Calculate w.
-7/5, 68
Factor 2*q**2 + 52*q + 50.
2*(q + 1)*(q + 25)
Factor -s**3/2 + 17*s**2 - 195*s/2 + 81.
-(s - 27)*(s - 6)*(s - 1)/2
Factor -m**2/3 - 236*m/3 - 235/3.
-(m + 1)*(m + 235)/3
Solve -3*s**3 - 6*s**2 + 63*s - 54 = 0.
-6, 1, 3
Factor -3*w**3/5 + 372*w**2/5 + 1143*w/5.
-3*w*(w - 127)*(w + 3)/5
Find q such that 3*q**3 - 93*q**2 + 90*q = 0.
0, 1, 30
Factor 2*f**2 - 66*f - 140.
2*(f - 35)*(f + 2)
Find c such that -2*c**5/9 + 8*c**4/9 + 32*c**3/3 - 28*c**2/9 - 254*c/9 + 20 = 0.
-5, -2, 1, 9
Solve -4*p**3 - 16*p**2 - 4*p + 24 = 0.
-3, -2, 1
Factor t**3/4 + 3*t**2 + 21*t/4 - 49/2.
(t - 2)*(t + 7)**2/4
Factor 68*g**3/7 + 2032*g**2/7 + 15060*g/7 - 1800/7.
4*(g + 15)**2*(17*g - 2)/7
Factor -2*d**2 + 14*d + 16.
-2*(d - 8)*(d + 1)
Determine p, given that -4*p**3 + 36*p**2 + 88*p = 0.
-2, 0, 11
Suppose -3*x**2/5 + 306*x/5 - 1176/5 = 0. Calculate x.
4, 98
Determine d so that 2*d**3/11 + 156*d**2/11 + 14*d = 0.
-77, -1, 0
What is v in -5*v**4 + 57*v**3 + 109*v**2 - 57*v - 104 = 0?
-8/5, -1, 1, 13
Find b, given that -2*b**3 - 1864*b**2 - 436170*b - 864900 = 0.
-465, -2
Factor 4*z**5 - 536*z**4 + 16852*z**3 + 73968*z**2 + 76176*z.
4*z*(z - 69)**2*(z + 2)**2
Factor n**3/8 - 35*n**2/8 + 403*n/8 - 1521/8.
(n - 13)**2*(n - 9)/8
What is u in 27*u**2 - 14694*u + 3264 = 0?
2/9, 544
Factor -5*y**5/7 + 3*y**4/7 + 2*y**3/7.
-y**3*(y - 1)*(5*y + 2)/7
Find j such that -j**4/3 - 7*j**3 - 106*j**2/3 - 32*j + 224/3 = 0.
-14, -4, 1
Solve -35*t**3 - 2355*t**2 + 1710*t + 680 = 0 for t.
-68, -2/7, 1
Determine k so that 2*k**4/11 + 6*k**3/11 - 8*k**2/11 = 0.
-4, 0, 1
Factor 2*k**5 + 12*k**4 + 18*k**3 - 8*k**2 - 24*k.
2*k*(k - 1)*(k + 2)**2*(k + 3)
Determine w, given that 10*w**5 - 144*w**4 - 814*w**3 - 1132*w**2 - 168*w + 304 = 0.
-2, -1, 2/5, 19
Determine f so that -f**3 + 123*f**2 + 765*f + 1161 = 0.
-3, 129
Determine f, given that -4*f**3 + 2*f**2 + 36*f - 18 = 0.
-3, 1/2, 3
Factor -3*v**3/2 + 4*v**2 + 267*v/2 + 44.
-(v - 11)*(v + 8)*(3*v + 1)/2
Determine b so that b**2/5 + 14*b/5 = 0.
-14, 0
Solve -27*t**5 + 171*t**4 + 2769*t**3 + 1785*t**2 + 294*t = 0.
-7, -1/3, 0, 14
Factor 4*b**2 + 60*b + 176.
4*(b + 4)*(b + 11)
Suppose -k**3/2 + 2*k**2 - k/2 - 3 = 0. Calculate k.
-1, 2, 3
Factor 4*i**2 - 868*i/5 + 344/5.
4*(i - 43)*(5*i - 2)/5
Let -2*x**3 - 4*x**2 + 10*x + 12 = 0. Calculate x.
-3, -1, 2
Factor 2*a**2/13 - 6*a/13 - 36/13.
2*(a - 6)*(a + 3)/13
Find q such that 2*q**2/3 - 1142*q/3 - 764 = 0.
-2, 573
Let -3*t**4/7 + 60*t**3/7 + 3*t**2/7 - 60*t/7 = 0. Calculate t.
-1, 0, 1, 20
Solve z**3/8 + 7*z**2/4 + 51*z/8 + 27/4 = 0 for z.
-9, -3, -2
Suppose 3*r**3/4 + 9*r**2/2 + 15*r/4 = 0. Calculate r.
-5, -1, 0
Let 90*l**2 - 3*l - 9 = 0. What is l?
-3/10, 1/3
Factor 3