 1227
Let -g**4/6 + 25*g**3/6 + 31*g**2/6 - 133*g/6 + 13 = 0. What is g?
-3, 1, 26
Determine x so that 3*x**3/7 - 54*x**2/7 + 96*x/7 = 0.
0, 2, 16
Let b**3 - 4*b**2 + 4*b = 0. Calculate b.
0, 2
Factor w**2/6 - 427*w/6 - 214/3.
(w - 428)*(w + 1)/6
Find b, given that -4*b**2 + 13568*b - 11505664 = 0.
1696
Factor -3*b**3 - 189*b**2 + 588*b - 396.
-3*(b - 2)*(b - 1)*(b + 66)
Factor -2*t**2/5 + 54*t - 260.
-2*(t - 130)*(t - 5)/5
Determine m so that -5*m**4 - 105*m**3 - 675*m**2 - 1215*m = 0.
-9, -3, 0
Determine x so that -x**4/3 - 32*x**3/3 - 61*x**2/3 - 10*x = 0.
-30, -1, 0
Solve 6912*u**5 - 12096*u**4 - 22320*u**3 - 10300*u**2 - 1500*u = 0 for u.
-5/12, 0, 3
Determine q so that -2662*q**4 + 533126*q**3 - 35410716*q**2 + 767948040*q + 803894544 = 0.
-1, 738/11
Determine g, given that -3*g**3/5 - 27*g**2/5 - 9*g - 21/5 = 0.
-7, -1
Find b such that -3*b**3/7 + 18*b**2/7 + 45*b/7 - 300/7 = 0.
-4, 5
Factor p**4/2 - p**3/2 - 3*p**2/2 + 5*p/2 - 1.
(p - 1)**3*(p + 2)/2
Let 5*t**4 + 100*t**3 + 175*t**2 - 100*t - 180 = 0. Calculate t.
-18, -2, -1, 1
Factor -5*n**3/4 - 295*n**2/4 + 1245*n/4 - 945/4.
-5*(n - 3)*(n - 1)*(n + 63)/4
Let -18*l**5 + 51*l**4 + 258*l**3 - 276*l**2 - 240*l + 225 = 0. What is l?
-3, -1, 5/6, 1, 5
Factor 6*m**2 - 47*m/2 - 2.
(m - 4)*(12*m + 1)/2
Solve 2*b**2/21 - 76*b/7 + 2166/7 = 0.
57
What is j in 3*j**3 + 279*j**2 + 549*j + 273 = 0?
-91, -1
Determine d so that -2*d**3/3 - 274*d**2/3 - 272*d/3 = 0.
-136, -1, 0
Find s, given that 11*s**3/7 - 41*s**2/7 + 30*s/7 = 0.
0, 1, 30/11
Let 4*w**5 + 48*w**4 + 164*w**3 + 168*w**2 = 0. What is w?
-7, -3, -2, 0
Factor 2*r**4/9 + 1670*r**3/9.
2*r**3*(r + 835)/9
Factor -5*a**2 + 60*a - 180.
-5*(a - 6)**2
Let -3*p**4 + 672*p**3 - 663*p**2 - 1338*p = 0. What is p?
-1, 0, 2, 223
What is p in 2*p**2/5 - 82*p/5 - 564/5 = 0?
-6, 47
Let -2*i**4/13 + 2*i**3/13 + 20*i**2/13 - 8*i/13 - 48/13 = 0. What is i?
-2, 2, 3
Determine l so that -2*l**4 - 82*l**3/3 + 322*l**2/3 - 302*l/3 + 68/3 = 0.
-17, 1/3, 1, 2
Find i such that -3*i**4 - 36*i**3 - 63*i**2 - 30*i = 0.
-10, -1, 0
Factor 3*n**3/8 + 4491*n**2/8 + 2241009*n/8 + 372754497/8.
3*(n + 499)**3/8
Factor 2*o**3 + 124*o**2.
2*o**2*(o + 62)
Factor 4*i**3/7 - 40*i**2/7 + 96*i/7.
4*i*(i - 6)*(i - 4)/7
Factor -2*b**3/9 + 118*b**2/9 + 40*b/3.
-2*b*(b - 60)*(b + 1)/9
Find d such that 4*d**3 - 40*d**2 + 96*d = 0.
0, 4, 6
Factor 3*d**4 - 6138*d**3 + 4192236*d**2 - 959985270*d + 2842391169.
3*(d - 681)**3*(d - 3)
Let -2*f**5/11 + 8*f**4/11 - 28*f**2/11 + 34*f/11 - 12/11 = 0. Calculate f.
-2, 1, 3
Factor 3*r**2 - 177*r - 6300.
3*(r - 84)*(r + 25)
What is t in 50*t**3/7 - 4*t**2/7 = 0?
0, 2/25
Factor 40*a**2 + 95*a + 30.
5*(a + 2)*(8*a + 3)
Let a**3/5 + 71*a**2/5 + 1679*a/5 + 2645 = 0. What is a?
-25, -23
Find b such that -40*b**4 - 3670*b**3 - 8115*b**2 - 5380*b - 895 = 0.
-179/2, -1, -1/4
Find k such that -3*k**2/2 + 4428*k - 3267864 = 0.
1476
Determine m, given that -2*m**5/7 - 4*m**4 - 122*m**3/7 - 24*m**2 - 72*m/7 = 0.
-6, -1, 0
Find h, given that 4*h**4 - 40*h**3 + 92*h**2 - 56*h = 0.
0, 1, 2, 7
Factor -3*d**2 - 84*d - 576.
-3*(d + 12)*(d + 16)
Factor -b**3/7 + 40*b**2/7 + 319*b/7 + 470/7.
-(b - 47)*(b + 2)*(b + 5)/7
Find k, given that 3*k**3 + 336*k**2 - 1029*k + 690 = 0.
-115, 1, 2
What is r in 3*r**2/4 - 11727*r/4 = 0?
0, 3909
Solve w**5 + 47*w**4 - 418*w**3 + 1186*w**2 - 1311*w + 495 = 0 for w.
-55, 1, 3
Factor -3*o**2 - 36*o - 33.
-3*(o + 1)*(o + 11)
Determine p so that -p**2/6 + 31*p/6 - 40 = 0.
15, 16
Factor 5*n**2 + 4430*n.
5*n*(n + 886)
Find z, given that 2*z**3/5 + 48*z**2/5 + 288*z/5 + 512/5 = 0.
-16, -4
Factor 3*b**2/5 + 9*b - 228/5.
3*(b - 4)*(b + 19)/5
Factor 2*c**3/15 - 2*c**2 + 28*c/15.
2*c*(c - 14)*(c - 1)/15
Find a, given that -134*a**4/7 + 10*a**3/7 = 0.
0, 5/67
Find x, given that -x**5/4 + 3*x**4 - 47*x**3/4 + 13*x**2 + 12*x - 16 = 0.
-1, 1, 4
Let -5*s**2 - 310*s - 305 = 0. Calculate s.
-61, -1
Determine i so that i**4 - 9*i**3 + 28*i**2 - 36*i + 16 = 0.
1, 2, 4
Find x such that 6*x**4/7 - 8*x**3/7 - 34*x**2/7 + 12*x/7 = 0.
-2, 0, 1/3, 3
Factor 2*g**3/9 + 74*g**2/9 + 548*g/9 - 208/3.
2*(g - 1)*(g + 12)*(g + 26)/9
Find s, given that -3*s**3 + 249*s**2 - 5289*s + 5043 = 0.
1, 41
Factor -5*s**4 - 38*s**3 - 9*s**2 + 260*s - 100.
-(s - 2)*(s + 5)**2*(5*s - 2)
Factor 3*v**2/7 + 31692*v/7 + 83698572/7.
3*(v + 5282)**2/7
Suppose -t**4/2 + 356*t**3 + 3*t**2/2 - 1069*t + 712 = 0. Calculate t.
-2, 1, 712
Solve 2*j**2 - 26*j - 60 = 0 for j.
-2, 15
Find g, given that g**4/3 - g**3 - 28*g**2/3 + 20*g = 0.
-5, 0, 2, 6
Let -6*j**4 + 28*j**3 + 46*j**2/3 - 24*j - 40/3 = 0. Calculate j.
-2/3, 1, 5
Factor z**2/7 - 232*z/7.
z*(z - 232)/7
Suppose y**3/6 + 23*y**2/3 - 101*y/2 + 78 = 0. Calculate y.
-52, 3
Let -3*y**3/4 - 9*y**2/2 + 405*y/4 + 729 = 0. What is y?
-9, 12
Factor 486*g**2 - 2426*g - 20.
2*(g - 5)*(243*g + 2)
Determine q so that -2*q**5 + 2*q**4 + 10*q**3 - 2*q**2 - 16*q - 8 = 0.
-1, 2
Solve -2*j**4/3 - 628*j**3/3 - 46058*j**2/3 + 169560*j - 437400 = 0 for j.
-162, 5
Factor 5*v**3 - 200*v**2 - 1415*v + 1610.
5*(v - 46)*(v - 1)*(v + 7)
Determine j so that 20*j**5 + 140*j**4 - 195*j**3 - 290*j**2 - 80*j = 0.
-8, -1/2, 0, 2
What is s in 4*s**4 - 70*s**3 + 254*s**2 - 266*s + 78 = 0?
1/2, 1, 3, 13
Factor s**3/4 - 4*s**2 - s/4 + 4.
(s - 16)*(s - 1)*(s + 1)/4
Suppose -5*r**5/4 + 10*r**4 + 245*r**3/2 - 980*r**2 - 12005*r/4 + 24010 = 0. Calculate r.
-7, 7, 8
Find m, given that -3*m**4 + 6*m**3 + 3*m**2 - 6*m = 0.
-1, 0, 1, 2
Factor 5*s**4 - 105*s**3 - 5*s**2 + 105*s.
5*s*(s - 21)*(s - 1)*(s + 1)
Factor h**5/3 + 10*h**4 - 64*h**3/3.
h**3*(h - 2)*(h + 32)/3
Factor 2*q**2 - 108*q + 1458.
2*(q - 27)**2
Determine y so that 443556*y**2/7 + 10656*y/7 + 64/7 = 0.
-4/333
Let -81*f**5 - 207*f**4 - 15*f**3 + 195*f**2 + 96*f + 12 = 0. What is f?
-2, -1, -1/3, -2/9, 1
Factor -g**2/3 + 164*g.
-g*(g - 492)/3
Suppose -3*x**4/2 - 33*x**3/2 - 36*x**2 + 54*x = 0. Calculate x.
-6, 0, 1
Determine j, given that -j**5/2 + j**4/2 + 3*j**3/2 - j**2/2 - j = 0.
-1, 0, 1, 2
Factor -2*i**2/7 - 152*i/7 - 2888/7.
-2*(i + 38)**2/7
Factor -y**3/5 - 57*y**2/5 - 111*y/5 - 11.
-(y + 1)**2*(y + 55)/5
Find s, given that -2*s**5/9 + 10*s**4/9 + 10*s**3 + 110*s**2/9 - 88*s/9 - 40/3 = 0.
-3, -2, -1, 1, 10
Factor -4*z**2 + 544*z - 18496.
-4*(z - 68)**2
Factor 2*a**4 + 344*a**3 + 15788*a**2 + 85656*a + 124002.
2*(a + 3)**2*(a + 83)**2
Solve k**3 - 276*k**2 + 19044*k = 0.
0, 138
Factor -9*f**4 - 25*f**3 + 42*f**2 - 8*f.
-f*(f - 1)*(f + 4)*(9*f - 2)
Suppose 20*p**4 - 135*p**3 + 330*p**2 - 340*p + 120 = 0. What is p?
3/4, 2
Factor -4*a**3 + 76*a**2 - 140*a + 68.
-4*(a - 17)*(a - 1)**2
Factor 3*s**3/5 - 354*s**2/5 - 717*s/5 - 72.
3*(s - 120)*(s + 1)**2/5
Factor j**2/3 - 628*j + 295788.
(j - 942)**2/3
Factor s**2/4 - 93*s/2 + 8649/4.
(s - 93)**2/4
Factor 5*q**3 - 415*q**2 - 20*q + 1660.
5*(q - 83)*(q - 2)*(q + 2)
Factor b**4/2 + 7*b**3 + 16*b**2 - 64*b.
b*(b - 2)*(b + 8)**2/2
Let 3*a**4 - 9*a**3 - 108*a**2 - 96*a = 0. Calculate a.
-4, -1, 0, 8
Factor -5*n**2 + 25*n - 20.
-5*(n - 4)*(n - 1)
Factor -9*n**2/2 + 395*n + 88.
-(n - 88)*(9*n + 2)/2
Factor 3*f**2/2 - 330*f + 18150.
3*(f - 110)**2/2
Factor -5*z**2 + 10*z + 40.
-5*(z - 4)*(z + 2)
Determine t so that -4*t**2/9 + 80*t/9 - 128/3 = 0.
8, 12
Factor k**5/3 + 2*k**4 + 11*k**3/3 + 2*k**2.
k**2*(k + 1)*(k + 2)*(k + 3)/3
Factor -5*x**3 - 32*x**2 - 57*x - 18.
-(x + 3)**2*(5*x + 2)
Factor -2*n**3/17 + 8706*n**2/17 - 12632406*n/17 + 6109873702/17.
-2*(n - 1451)**3/17
Factor 3*l**3 + 6*l**2 - 24*l.
3*l*(l - 2)*(l + 4)
Determine q, given that 2*q**3/3 + 8*q**2 - 398*q/3 - 140 = 0.
-21, -1, 10
Factor 2*v**2/9 + 112*v/3 - 338/9.
2*(v - 1)*(v + 169)/9
Determine m, given that 3*m**3 + 3*m**2 - 48*m - 48 = 0.
-4, -1, 4
Determine w so that -15*w**5 + 65*w**4 + 1735*w**3 - 9465*w**2 - 7600*w + 3520 = 0.
-11, -1, 1/3, 8
Find x, given that -6*x**4 + 250*x**3 - 1076*x**2 + 1496*x - 592 = 0.
2/3, 2, 37
Suppose 4*n**3 + 28*n**2 - 4*n - 28 = 0. Calculate n.
-7, -1, 1
Solve -3*u**5/5 + 48*u**4/5 + 231*u**3/5 + 192*u**2/5 - 228*u/5 - 48 = 0.
-2, -1, 1, 20
Find s such that -s**3/2 - 517*s**2/2 + 2092*s - 4200 = 0.
-525, 4
Factor i**3 + 16*i**2 + 41*i + 26.
(i + 1)*(i + 2)*(i + 13)
Solve -4*c**4/7 + 76*c**3/7 - 192*c**2/7 - 16*c/7 + 256/7 = 0 for c.
-1, 2, 16
Suppose -u**4/8 + 31*u**