t is k?
-11, 5
Find g such that 294*g**5 - 4970*g**4 + 24034*g**3 - 29302*g**2 + 11312*g - 1368 = 0.
2/7, 1, 19/3, 9
Determine w, given that 132*w**4 - 640*w**3 + 860*w**2 - 400*w + 48 = 0.
2/11, 2/3, 1, 3
Factor -2*q**3 - 92*q**2 - 1058*q.
-2*q*(q + 23)**2
Solve -5*b**2 + 95*b - 170 = 0.
2, 17
Determine i so that i**3/2 + 132*i**2 + 11616*i + 340736 = 0.
-88
Factor 2*z**3/3 - 110*z**2/3.
2*z**2*(z - 55)/3
What is z in z**4 + 108*z**3 - 109*z**2 = 0?
-109, 0, 1
Factor 5*o**2 - 27200*o + 36992000.
5*(o - 2720)**2
Find v such that 3*v**2 - 60*v + 153 = 0.
3, 17
Factor k**4/4 + 31*k**3/4 + 87*k**2/4 + 85*k/4 + 7.
(k + 1)**3*(k + 28)/4
Factor -5*i**2 + 140*i - 135.
-5*(i - 27)*(i - 1)
What is s in 2*s**4/7 - 54*s**3/7 + 358*s**2/7 - 306*s/7 = 0?
0, 1, 9, 17
What is b in -4*b**5 - 20*b**4 - 32*b**3 - 16*b**2 = 0?
-2, -1, 0
Let -4*h**3 + 144*h**2 - 132*h - 280 = 0. Calculate h.
-1, 2, 35
Factor -a**2 + 162*a.
-a*(a - 162)
Suppose g**4 - 66*g**3 + 1209*g**2 - 3844*g = 0. What is g?
0, 4, 31
Factor f**2/5 + 152*f/5 + 5776/5.
(f + 76)**2/5
Factor 2*s**3 - 72*s**2 - 74*s.
2*s*(s - 37)*(s + 1)
Determine p so that 4*p**5/3 - 8*p**4/3 + p**3/3 + 5*p**2/3 - p/3 - 1/3 = 0.
-1/2, 1
Determine d, given that d**3 - 15*d**2 - 18*d + 32 = 0.
-2, 1, 16
Let 3*v**3 + 120*v**2 + 1200*v = 0. Calculate v.
-20, 0
Find c such that 3*c**5/7 + 27*c**4/7 + 75*c**3/7 + 81*c**2/7 + 30*c/7 = 0.
-5, -2, -1, 0
Factor 2*u**3/3 + 230*u**2/3 + 454*u/3 + 226/3.
2*(u + 1)**2*(u + 113)/3
Factor -n**5 + 32*n**4 - 60*n**3 - 2*n**2 + 61*n - 30.
-(n - 30)*(n - 1)**3*(n + 1)
Factor 3*a**3/8 + 33*a**2/8 - 39*a/4.
3*a*(a - 2)*(a + 13)/8
Factor 81*s**5 + 45*s**4 - 32*s**3 + 4*s**2.
s**2*(s + 1)*(9*s - 2)**2
Suppose -4*x**4/7 + 244*x**3/7 + 2208*x**2/7 = 0. What is x?
-8, 0, 69
Suppose 5*u**2/2 - 15*u + 45/2 = 0. Calculate u.
3
Solve -15*t**2 + 6740*t - 2245 = 0 for t.
1/3, 449
What is o in 8978*o**4/15 - 26666*o**3/15 - 802*o**2/15 - 2*o/5 = 0?
-1/67, 0, 3
Let u**2 - 5*u - 14 = 0. Calculate u.
-2, 7
Factor 5*n**3 + 1010*n**2 + 1005*n.
5*n*(n + 1)*(n + 201)
Solve 4*x**3 + 21*x**2 + 2*x - 15 = 0 for x.
-5, -1, 3/4
Determine n, given that 6*n**4/5 - 76*n**3/5 - 138*n**2/5 + 376*n/5 - 168/5 = 0.
-3, 2/3, 1, 14
Let -4*y**5 + 8*y**3 - 4*y = 0. Calculate y.
-1, 0, 1
Factor -4*v**3 - 1525*v**2 - 1901*v - 380.
-(v + 1)*(v + 380)*(4*v + 1)
Determine y so that 2*y**4/7 - 4*y**3/7 - 6*y**2/7 + 16*y/7 - 8/7 = 0.
-2, 1, 2
Suppose 4*f**2/5 + 36*f/5 + 56/5 = 0. Calculate f.
-7, -2
Factor -5*y**4 - 80*y**3 - 205*y**2 - 130*y.
-5*y*(y + 1)*(y + 2)*(y + 13)
Let q**5/3 + 2*q**4 + 4*q**3/3 - 8*q**2 - 32*q/3 = 0. Calculate q.
-4, -2, 0, 2
Determine g, given that 5*g**2 + 2120*g - 2125 = 0.
-425, 1
Solve -2*t**5/9 + 16*t**4/9 + 86*t**3/3 + 784*t**2/9 + 544*t/9 = 0.
-4, -1, 0, 17
Factor 3*c**5 - 39*c**4 + 54*c**3 + 480*c**2 + 384*c.
3*c*(c - 8)**2*(c + 1)*(c + 2)
Suppose 2*l**3/17 - 48*l**2/17 + 88*l/17 = 0. What is l?
0, 2, 22
Factor 45*n**3 - 80*n**2 - 2855*n - 630.
5*(n - 9)*(n + 7)*(9*n + 2)
Factor -5*f**3 + 640*f**2 - 1260*f.
-5*f*(f - 126)*(f - 2)
Find u, given that 2*u**5 - 2*u**4 - 58*u**3 + 162*u**2 - 216 = 0.
-6, -1, 2, 3
Factor 3*s**3 + 273*s**2 + 537*s + 267.
3*(s + 1)**2*(s + 89)
Solve -5*i**4 + 25*i**3 + 85*i**2 - 105*i = 0.
-3, 0, 1, 7
What is j in -j**4/10 + j**3/10 + 13*j**2/10 - 5*j/2 + 6/5 = 0?
-4, 1, 3
Solve 2*m**2 + 3556*m + 1580642 = 0 for m.
-889
Factor -3*y**2 - 1098*y - 14784.
-3*(y + 14)*(y + 352)
Factor -3*t**4 + 6*t**3 + 3*t**2 - 6*t.
-3*t*(t - 2)*(t - 1)*(t + 1)
What is s in -2*s**4/5 + 12*s**3/5 - 18*s**2/5 + 8*s/5 = 0?
0, 1, 4
Let -3*g**5 - 21*g**4 - 57*g**3 - 75*g**2 - 48*g - 12 = 0. What is g?
-2, -1
Determine w so that -2*w**3/13 - 28*w**2/13 - 2*w = 0.
-13, -1, 0
Factor 30*r**3/7 - 268*r**2/7 + 222*r/7 + 16/7.
2*(r - 8)*(r - 1)*(15*r + 1)/7
Let h**5/7 - 11*h**4/7 - h**3/7 + 11*h**2/7 = 0. Calculate h.
-1, 0, 1, 11
Find x, given that -5*x**4 - 70*x**3 + 360*x**2 = 0.
-18, 0, 4
Suppose 162*l**3/11 - 306*l**2/11 - 128*l + 264 = 0. What is l?
-3, 22/9
Factor 3*u**2/2 + 27*u/2 - 78.
3*(u - 4)*(u + 13)/2
Factor -2*x**3 + 188*x**2 - 862*x - 2492.
-2*(x - 89)*(x - 7)*(x + 2)
Solve -4*y**2 + 3648*y - 7280 = 0.
2, 910
Factor -2*m**3 - 558*m**2 - 38640*m + 39200.
-2*(m - 1)*(m + 140)**2
Factor 5*t**4 - 380*t**3 + 6825*t**2 + 15210*t.
5*t*(t - 39)**2*(t + 2)
Let -36*c**3 - 84*c**2 + 68*c - 12 = 0. Calculate c.
-3, 1/3
Let -z**3 + 72*z**2 - 209*z + 138 = 0. Calculate z.
1, 2, 69
Factor -3*d**5 + 57*d**4 + 96*d**3 - 8832*d**2 + 67584*d - 159744.
-3*(d - 8)**4*(d + 13)
Factor 2*i**3/11 + 28*i**2/11 - 30*i/11.
2*i*(i - 1)*(i + 15)/11
Factor u**5/6 + 5*u**4/3 + 4*u**3 - 5*u**2/3 - 25*u/6.
u*(u - 1)*(u + 1)*(u + 5)**2/6
Factor 4*g**3 - 12*g**2 - 132*g + 140.
4*(g - 7)*(g - 1)*(g + 5)
Factor -h**3 - 96*h**2 - 3072*h - 32768.
-(h + 32)**3
What is m in -m**3 - 40*m**2 + 181*m + 220 = 0?
-44, -1, 5
Factor t**2 + 496*t + 61504.
(t + 248)**2
Factor -s**4 + 2*s**3 + 3*s**2 - 8*s + 4.
-(s - 2)*(s - 1)**2*(s + 2)
Let -y**3/4 - 9*y**2/2 - 47*y/4 - 15/2 = 0. What is y?
-15, -2, -1
Factor -4*q**4 - 208*q**3 + 1776*q**2 + 116480*q - 1254400.
-4*(q - 14)**2*(q + 40)**2
Let -5*o**3 + 645*o**2 - 1275*o + 635 = 0. Calculate o.
1, 127
Find d such that d**3 + 10*d**2 - 4*d - 40 = 0.
-10, -2, 2
Factor 5*h**4 - 75*h**3 - 80*h**2 + 1200*h.
5*h*(h - 15)*(h - 4)*(h + 4)
Let 5*m**5 - 5*m**4 - 10*m**3 + 10*m**2 + 5*m - 5 = 0. Calculate m.
-1, 1
Determine t, given that -2*t**2/5 - 14*t/5 + 16/5 = 0.
-8, 1
Determine y, given that -14*y**3 - 10*y**2 + 62*y - 38 = 0.
-19/7, 1
Suppose 4*t**2 - 1644*t + 4896 = 0. Calculate t.
3, 408
Factor s**4/7 + 3*s**3/7 - 34*s**2/7 + 48*s/7.
s*(s - 3)*(s - 2)*(s + 8)/7
Factor 2*g**5/9 + 22*g**4/9 + 2*g**3 - 206*g**2/9 + 260*g/9 - 32/3.
2*(g - 1)**3*(g + 6)*(g + 8)/9
Factor -2*j**3/5 - 8*j**2/5 + 22*j/5 - 12/5.
-2*(j - 1)**2*(j + 6)/5
Find f such that 5*f**2/2 + 725*f/2 - 365 = 0.
-146, 1
Find g such that 9*g**2 + 282*g + 93 = 0.
-31, -1/3
Solve -2*d**3 - 208*d**2 - 5408*d = 0 for d.
-52, 0
Determine t so that 2*t**2/5 - 492*t/5 + 30258/5 = 0.
123
Factor -2*r**4 + 20*r**3 - 26*r**2 - 120*r - 72.
-2*(r - 6)**2*(r + 1)**2
What is b in 25*b**5 - 60*b**4 - 155*b**3 - 30*b**2 + 40*b = 0?
-1, 0, 2/5, 4
Let 4*z**4 + 728*z**3 + 33844*z**2 + 65520*z + 32400 = 0. Calculate z.
-90, -1
What is h in -180*h**4 - 132*h**3 + 224*h**2/5 - 16*h/5 = 0?
-1, 0, 2/15
Determine t, given that -46*t**2/17 - 80*t/17 - 2 = 0.
-1, -17/23
Factor -d**5/2 - 53*d**4 - 3013*d**3/2 - 5406*d**2 - 5202*d.
-d*(d + 2)**2*(d + 51)**2/2
Suppose 4*b**3 + 188*b**2 + 640*b - 2064 = 0. What is b?
-43, -6, 2
Factor -15*y**3 + 25*y**2 - 5*y - 5.
-5*(y - 1)**2*(3*y + 1)
Factor -h**5 + 58*h**4 - 49*h**3 - 468*h**2 + 684*h.
-h*(h - 57)*(h - 2)**2*(h + 3)
Determine k so that -k**5/11 + 478*k**4/11 + 482*k**3/11 - 1432*k**2/11 - 2393*k/11 - 958/11 = 0.
-1, 2, 479
Factor -5*f**5 + 30*f**4 + 140*f**3 - 550*f**2 + 585*f - 200.
-5*(f - 8)*(f - 1)**3*(f + 5)
Factor -45*n**2 + 1945*n + 1990.
-5*(n + 1)*(9*n - 398)
Factor -2*i**2 - 42*i - 180.
-2*(i + 6)*(i + 15)
Factor -2*t**2/15 + 32*t/3 + 54/5.
-2*(t - 81)*(t + 1)/15
Factor -2*g**3/7 - 46*g**2/7 + 52*g/7 + 96/7.
-2*(g - 2)*(g + 1)*(g + 24)/7
Factor -y**2/9 - 17*y/9 - 10/3.
-(y + 2)*(y + 15)/9
Solve 4*z**5 - 72*z**4 + 464*z**3 - 1368*z**2 + 1836*z - 864 = 0 for z.
1, 3, 8
Determine x so that -18*x**3 - 546*x**2 - 704*x - 232 = 0.
-29, -2/3
Factor -3*y**4 + 504*y**3 - 31752*y**2 + 889056*y - 9335088.
-3*(y - 42)**4
Factor w**2/3 + 21*w + 122/3.
(w + 2)*(w + 61)/3
Find p, given that -25*p**4/2 - 1015*p**3 - 1182*p**2 + 1436*p - 320 = 0.
-80, -2, 2/5
Factor -s**4/3 + s**3.
-s**3*(s - 3)/3
Factor -5*c**3 - 105*c**2 - 100*c.
-5*c*(c + 1)*(c + 20)
Factor 4*w**3 - 28*w**2 + 24*w.
4*w*(w - 6)*(w - 1)
Find s, given that -5*s**2 + 360*s - 6480 = 0.
36
Factor -5*z**3 + 1035*z**2 - 62040*z + 839420.
-5*(z - 94)**2*(z - 19)
Factor -4*o**3 + 152*o**2 - 1840*o + 7200.
-4*(o - 18)*(o - 10)**2
Factor -m**2/4 + 721*m/2 - 519841/4.
-(m - 721)**2/4
Find o such that -o**4 - 17*o**3/2 - 9*o**2 + 23*o/2 + 7 = 0.
-7, -2, -1/2, 1
Factor -s**3 + 13*s**2 - 24*s - 108.
-(s - 9)*(s - 6)*(s + 2)
Factor -n**3/5 + 13*n**2/5 - 46*n/5 + 48/5.
-(n - 8)*(n - 3)*(n - 2)/5
Find p such that 6*p**5/5 - 4*p**4/5 - 18*p**3/5 + 24*p**2/5