-20, -1, 8/15
What is t in t**3/2 + 15*t**2/2 + 33*t + 40 = 0?
-8, -5, -2
Determine v, given that 2*v**4/7 - 2532*v**3/7 + 803906*v**2/7 - 1600224*v/7 + 798848/7 = 0.
1, 632
Find x, given that 2*x**2/23 + 1392*x/23 + 2776/23 = 0.
-694, -2
What is r in -49152*r**4 + 7680*r**3 + 37908*r**2 + 3483*r + 81 = 0?
-3/4, -3/64, 1
Factor u**4 - 3*u**3 - 4*u**2 + 12*u.
u*(u - 3)*(u - 2)*(u + 2)
Factor 3*s**5 - 48*s**4.
3*s**4*(s - 16)
Solve g**3/2 - 31*g**2/2 + 29*g = 0 for g.
0, 2, 29
Factor u**2 + 2782*u + 1934881.
(u + 1391)**2
Factor -m**3/2 + 172*m**2.
-m**2*(m - 344)/2
Suppose 5*c**3/3 + 14*c**2 + 91*c/3 + 10 = 0. What is c?
-5, -3, -2/5
Factor -3*l**3/4 - 3*l**2/8 + 33*l/4 + 63/8.
-3*(l + 1)*(l + 3)*(2*l - 7)/8
Solve 8*k**2/5 - 6206*k/5 - 1552/5 = 0 for k.
-1/4, 776
Let -55*t**4/3 + 65*t**3/3 - 10*t**2/3 = 0. What is t?
0, 2/11, 1
Let -2*h**2/7 + 34*h/7 - 60/7 = 0. What is h?
2, 15
What is l in 7*l**3/2 + 31*l**2/3 - 5*l/6 - 1 = 0?
-3, -2/7, 1/3
Factor -3*s**2/8 - 63*s/2 - 1323/2.
-3*(s + 42)**2/8
Factor -412*v**2 - 348*v + 64.
-4*(v + 1)*(103*v - 16)
Factor -5*g**4/2 + 70*g**3 - 235*g**2 - 3570*g - 13005/2.
-5*(g - 17)**2*(g + 3)**2/2
Factor -688205*h**2/3 - 7420*h/3 - 20/3.
-5*(371*h + 2)**2/3
Factor 6*p**2 - 15952*p - 5318.
2*(p - 2659)*(3*p + 1)
Suppose 20*q**5 + 5740*q**4 - 17395*q**3 + 1510*q**2 + 17420*q + 5800 = 0. What is q?
-290, -1/2, 2
Solve o**2/2 - 1077*o + 1159929/2 = 0 for o.
1077
Factor -4*c**4 - 52*c**3 - 136*c**2 + 192*c.
-4*c*(c - 1)*(c + 6)*(c + 8)
Factor 9*k**4 + 174*k**3 + 57*k**2.
3*k**2*(k + 19)*(3*k + 1)
Suppose -4*u**5/5 - 16*u**4/5 + 28*u**3/5 + 136*u**2/5 - 48*u/5 - 288/5 = 0. What is u?
-3, -2, 2
Factor -3*s**3 + 183*s**2 + 5688*s + 36720.
-3*(s - 85)*(s + 12)**2
Factor -2*o**3/9 + 100*o**2/3 - 5000*o/3 + 250000/9.
-2*(o - 50)**3/9
Factor 3*a**5 - 21*a**4 + 36*a**3 + 12*a**2 - 48*a.
3*a*(a - 4)*(a - 2)**2*(a + 1)
Factor -54*n**2 - 53*n + 1.
-(n + 1)*(54*n - 1)
Factor -t**3 - 40*t**2 - 468*t - 1296.
-(t + 4)*(t + 18)**2
Factor -4*m**2 + 1236*m + 2488.
-4*(m - 311)*(m + 2)
Find s, given that s**3/3 + 4*s**2/3 - 220*s/3 - 1600/3 = 0.
-10, 16
Find v such that 2*v**4 + 128*v**3 + 2816*v**2 + 24576*v + 73728 = 0.
-24, -8
Determine w so that -2*w**5/5 - 146*w**4/5 + 4*w**3/5 + 292*w**2/5 - 2*w/5 - 146/5 = 0.
-73, -1, 1
What is h in -64*h**2/5 - 112*h/5 - 49/5 = 0?
-7/8
Solve -u**2/5 - 6*u/5 - 1 = 0 for u.
-5, -1
Factor 2*x**2/11 - 1286*x/11 - 3876/11.
2*(x - 646)*(x + 3)/11
Factor u**4/6 + 10*u**3/3 + 13*u**2/6 - 19*u.
u*(u - 2)*(u + 3)*(u + 19)/6
Suppose -h**4/3 - 310*h**3/3 - 8111*h**2 - 47740*h/3 - 23716/3 = 0. Calculate h.
-154, -1
Solve 5*w**4 + 60*w**3 - 70*w**2 - 60*w + 65 = 0.
-13, -1, 1
What is u in u**3 + 251*u**2 = 0?
-251, 0
Let -2*w**2/11 - 56*w/11 + 120/11 = 0. What is w?
-30, 2
Factor -2*w**3/7 + 36*w**2/7 - 58*w/7 - 96/7.
-2*(w - 16)*(w - 3)*(w + 1)/7
Suppose -s**4 - 3439*s**3 - 2958399*s**2 - 2954961*s = 0. Calculate s.
-1719, -1, 0
Factor 2*u**3/9 + 22*u**2/9 + 8*u + 8.
2*(u + 2)*(u + 3)*(u + 6)/9
Factor 2*b**2/5 + 2*b - 48/5.
2*(b - 3)*(b + 8)/5
Find x, given that -245*x**5 + 6055*x**4 + 28765*x**3 + 47665*x**2 + 34480*x + 9280 = 0.
-8/7, -1, 29
Find u, given that 5*u**3 - 40*u**2 + 35*u = 0.
0, 1, 7
Factor -5*w**2 + 55*w - 120.
-5*(w - 8)*(w - 3)
What is b in -2*b**4 + 28*b**3 - 46*b**2 - 28*b + 48 = 0?
-1, 1, 2, 12
Factor u**4/2 - 6*u**3 - 267*u**2/2 - 247*u - 120.
(u - 24)*(u + 1)**2*(u + 10)/2
Determine m, given that -8*m**4/9 - 62*m**3/9 - 16*m**2 - 88*m/9 + 32/9 = 0.
-4, -2, 1/4
Factor -2*w**4/11 - 16*w**3/11 - 40*w**2/11 - 32*w/11.
-2*w*(w + 2)**2*(w + 4)/11
Factor -2*t**4/7 + 2*t**3/7 + 2610*t**2/7 - 52650*t/7 + 297000/7.
-2*(t - 15)**3*(t + 44)/7
Factor -v**2/4 - 5*v + 21/4.
-(v - 1)*(v + 21)/4
Determine y so that y**5/2 + y**4/2 - 15*y**3/2 + 23*y**2/2 - 5*y = 0.
-5, 0, 1, 2
Factor 4*s**2 - 64*s + 240.
4*(s - 10)*(s - 6)
Factor d**2 - 66*d + 65.
(d - 65)*(d - 1)
Factor g**2/2 - 7*g - 15/2.
(g - 15)*(g + 1)/2
Let 157*c**5 + 938*c**4/3 - 8*c**3/3 - 314*c**2 - 463*c/3 + 4/3 = 0. Calculate c.
-1, 4/471, 1
Suppose 4*s**4/7 + 16*s**3/7 - 24*s**2/7 - 16*s/7 + 20/7 = 0. Calculate s.
-5, -1, 1
Suppose 5*g**2 + 26*g/7 + 3/7 = 0. Calculate g.
-3/5, -1/7
Factor -5*d**4 - 160*d**3 - 545*d**2 + 510*d + 2520.
-5*(d - 2)*(d + 3)**2*(d + 28)
Factor 2*g**4/11 - 36*g**3/11 + 90*g**2/11.
2*g**2*(g - 15)*(g - 3)/11
What is j in -35*j**4 - 215*j**3 - 345*j**2 - 185*j - 20 = 0?
-4, -1, -1/7
Determine h so that 2*h**3/19 - 110*h**2/19 - 466*h/19 - 354/19 = 0.
-3, -1, 59
Factor -2*n**4 + 2614*n**3 - 1137960*n**2 + 164623136*n + 165763712.
-2*(n - 436)**3*(n + 1)
Factor d**4/2 + 1124*d**3 + 947532*d**2 + 355008656*d + 49878716168.
(d + 562)**4/2
Suppose -3*w**3 + 9072*w**2 - 9144576*w + 3072577536 = 0. Calculate w.
1008
Determine y so that -2*y**5/13 + 6*y**4/13 = 0.
0, 3
Factor -35*u**3 - 80*u**2 - 20*u.
-5*u*(u + 2)*(7*u + 2)
Factor l**2/3 - 2*l - 45.
(l - 15)*(l + 9)/3
Find q, given that 5*q**5 - 15*q**4 - 90*q**3 = 0.
-3, 0, 6
Determine o, given that 2*o**5/13 - 4*o**4/13 - 22*o**3/13 + 8*o**2/13 + 56*o/13 + 32/13 = 0.
-2, -1, 2, 4
Find o, given that 4*o**5/9 - 124*o**4/9 - 52*o**3/3 + 844*o**2/9 + 1640*o/9 + 256/3 = 0.
-2, -1, 3, 32
Let 4*r**3/3 - 8*r**2/3 + 4*r/3 = 0. What is r?
0, 1
Factor 2*o**2 - 30*o + 28.
2*(o - 14)*(o - 1)
Determine f, given that 2*f**4 - 2*f**3 - 16*f**2 + 24*f = 0.
-3, 0, 2
Factor h**3/2 - 91*h**2/2 - h/2 + 91/2.
(h - 91)*(h - 1)*(h + 1)/2
Factor -c**4/5 - 56*c**3/5 - 192*c**2 - 640*c + 6400.
-(c - 4)*(c + 20)**3/5
Let v**3 + 30*v**2 + 77*v - 108 = 0. What is v?
-27, -4, 1
Factor 729*h**3 - 3753*h**2 + 544*h - 20.
(h - 5)*(27*h - 2)**2
Factor -t**3/7 + 11*t**2/7 + 2*t - 24/7.
-(t - 12)*(t - 1)*(t + 2)/7
Solve 5*r**2 + 130*r + 845 = 0.
-13
Factor 4*i**2/15 - 2*i/5.
2*i*(2*i - 3)/15
Factor m**5 + 54*m**4 + 614*m**3 - 3076*m**2 + 4089*m - 1682.
(m - 2)*(m - 1)**2*(m + 29)**2
Factor z**5/3 - 8*z**4/3 + 16*z**3/3 + 6*z**2 - 27*z + 18.
(z - 3)**3*(z - 1)*(z + 2)/3
Factor -405*a**2 - 415*a - 10.
-5*(a + 1)*(81*a + 2)
Factor t**2 + 18*t + 56.
(t + 4)*(t + 14)
Determine v, given that -v**2 - 393*v - 1556 = 0.
-389, -4
What is d in 4*d**2 - 576*d + 572 = 0?
1, 143
Factor -4*m**2 + 2548*m + 5112.
-4*(m - 639)*(m + 2)
Suppose -z**3 - 3*z**2/2 + 27*z/2 + 14 = 0. What is z?
-4, -1, 7/2
Suppose 3*z**5 + 39*z**4 - 6*z**3 - 846*z**2 + 1539*z - 729 = 0. What is z?
-9, 1, 3
Factor -c**5/3 - 4*c**4/3 + 2*c**3 + 16*c**2/3 - 29*c/3 + 4.
-(c - 1)**3*(c + 3)*(c + 4)/3
Factor -4*i**3 - 2664*i**2 - 446208*i - 881792.
-4*(i + 2)*(i + 332)**2
Determine b so that -236*b**3/7 + 968*b**2/7 - 1040*b/7 + 96/7 = 0.
6/59, 2
Let z**2 + 52*z - 53 = 0. What is z?
-53, 1
Let -x**3/7 - 136*x**2/7 + 556*x/7 - 80 = 0. What is x?
-140, 2
Factor 4*l**3 - 508*l**2 + 8172*l - 35316.
4*(l - 109)*(l - 9)**2
Factor 3*v**2 - 1308*v.
3*v*(v - 436)
Suppose -t**2 + 4 = 0. Calculate t.
-2, 2
Solve -w**5/3 - 6*w**4 - 89*w**3/3 - 20*w**2/3 + 128*w - 256/3 = 0 for w.
-8, -4, 1
Factor 3*t**3 + 72*t**2 - 891*t.
3*t*(t - 9)*(t + 33)
Factor 3*v**3/8 + 153*v**2/8 + 147*v/4.
3*v*(v + 2)*(v + 49)/8
Solve 3*v**3 + 30*v**2 + 96*v + 96 = 0.
-4, -2
Let -2*t**2/9 + 16*t/9 - 10/3 = 0. Calculate t.
3, 5
What is t in -1083*t**4/5 + 228*t**3/5 - 12*t**2/5 = 0?
0, 2/19
Suppose -2*k**3/5 + 14*k**2/5 - 8*k/5 - 24/5 = 0. Calculate k.
-1, 2, 6
Factor -3*k**4 - 87*k**3 - 69*k**2 + 411*k - 252.
-3*(k - 1)**2*(k + 3)*(k + 28)
Let 98*z**4/9 + 2492*z**3/9 + 334*z**2/3 - 1192*z/9 + 200/9 = 0. What is z?
-25, -1, 2/7
Find g, given that -g**3 - 85*g**2 + g + 85 = 0.
-85, -1, 1
Factor -2*c**3/3 + 1516*c**2/3 - 6040*c/3 + 6032/3.
-2*(c - 754)*(c - 2)**2/3
Suppose -8*m**5/7 + 4*m**4 + 24*m**3/7 - 4*m**2 - 16*m/7 = 0. What is m?
-1, -1/2, 0, 1, 4
Factor -2*f**3/7 - 42*f**2 - 580*f/7.
-2*f*(f + 2)*(f + 145)/7
Factor -2*c**2/9 - 1376*c/9 + 1378/9.
-2*(c - 1)*(c + 689)/9
Factor -15*c**2 - 14541*c - 5814.
-3*(c + 969)*(5*c + 2)
Factor -2*y**4 - 10*y**3 + 24*y**2 + 160*y + 128.
-2*(y - 4)*(y + 1)*(y + 4)**2
Let 2*n**3/7 - 960*n**2/7 + 115200*n/7 = 0. What is n?
0, 240
Suppose 44*y**3/7 + 52*y**2/7 + 8*y/7 = 0. What is y?
-1, -2/11, 0
Determine b so that 2*b**4/19 - 2288*b**3/19 + 654368*b**2/19 = 0.
0, 572
Solve -3*v**2/4 - 24*v = 0.
-32, 0
Solve -2*j**5/3 + 128*j**4/3 - 40*j**3 