hat -70*s**4/3 - 62*s**3/9 + 26*s**2/9 + 2*s/3 = 0.
-3/7, -1/5, 0, 1/3
Determine q so that q**4/3 + 3*q**3 + 22*q**2/3 - 32/3 = 0.
-4, -2, 1
What is v in 2*v**5/13 + 8*v**4/13 - 38*v**3/13 + 28*v**2/13 = 0?
-7, 0, 1, 2
Factor -3*y**2/5 - 1308*y/5 - 142572/5.
-3*(y + 218)**2/5
Factor -2*d**2 + 1314*d - 5224.
-2*(d - 653)*(d - 4)
Determine c, given that 21*c**5 + 99*c**4 - 198*c**3 - 204*c**2 + 72*c = 0.
-6, -1, 0, 2/7, 2
Factor -4*d**4/9 - 440*d**3/9 - 3724*d**2/3 + 5776*d.
-4*d*(d - 4)*(d + 57)**2/9
Factor -4*d**3 - 3852*d**2 - 929292*d - 925444.
-4*(d + 1)*(d + 481)**2
Factor -4*i**2 + 11872*i - 8809024.
-4*(i - 1484)**2
Factor 3*f**2/7 - 1689*f/7 - 1692/7.
3*(f - 564)*(f + 1)/7
Factor -4*u**3 - 300*u**2 - 5148*u + 18252.
-4*(u - 3)*(u + 39)**2
Factor 3*z**4/4 - 15*z**3/2 + 39*z**2/4 + 45*z + 27.
3*(z - 6)**2*(z + 1)**2/4
Determine g so that 2*g**2/3 + 6*g + 16/3 = 0.
-8, -1
Factor 3*q**2/7 - 9*q.
3*q*(q - 21)/7
Let 4*y**3/7 - 7404*y**2/7 - 14824*y/7 = 0. Calculate y.
-2, 0, 1853
Factor -4*m**2 - 2508*m - 12440.
-4*(m + 5)*(m + 622)
Factor 5*l**3 + 55*l**2 + 170*l + 120.
5*(l + 1)*(l + 4)*(l + 6)
Let -v**5 + 5*v**4 + 26*v**3 - 76*v**2 - 88*v + 224 = 0. Calculate v.
-4, -2, 2, 7
Solve -3*g**5 + 27*g**4 + 195*g**3 - 495*g**2 - 192*g + 468 = 0.
-6, -1, 1, 2, 13
Factor 5*q**4 + 335*q**3 + 5430*q**2 - 6460*q - 11560.
5*(q - 2)*(q + 1)*(q + 34)**2
Suppose -2*u**5 + 2*u**4 + 2*u**3 - 2*u**2 = 0. Calculate u.
-1, 0, 1
Factor -3*b**3 + b**2/2 + 3*b - 1/2.
-(b - 1)*(b + 1)*(6*b - 1)/2
Let -d**5 - 10*d**4 - 9*d**3 = 0. Calculate d.
-9, -1, 0
What is p in -3*p**3 + 582*p**2 - 4512*p + 8928 = 0?
4, 186
Determine m, given that 3*m**5/4 - 21*m**4/2 + 147*m**3/4 = 0.
0, 7
Factor 3*m**3/7 - 81*m**2/7 - 363*m/7 - 279/7.
3*(m - 31)*(m + 1)*(m + 3)/7
Determine x, given that -15*x**2/7 + 138*x/7 - 27/7 = 0.
1/5, 9
Factor u**2 - 63*u.
u*(u - 63)
Factor -2*m**3/7 + 8*m**2/7 - 8*m/7.
-2*m*(m - 2)**2/7
Factor -j**3/2 + 29*j**2/2 + 176*j - 190.
-(j - 38)*(j - 1)*(j + 10)/2
Factor -l**3/3 - 40*l**2/3.
-l**2*(l + 40)/3
Factor 4*y**2/5 - 432*y/5 - 176.
4*(y - 110)*(y + 2)/5
Factor -8*s**4 + 22*s**3 + 86*s**2 + 20*s.
-2*s*(s - 5)*(s + 2)*(4*s + 1)
Factor -2*f**3/21 + 422*f**2/7 + 1268*f/21.
-2*f*(f - 634)*(f + 1)/21
Determine f so that -f**2/7 + 43*f/7 + 44/7 = 0.
-1, 44
Determine x so that 2*x**3 - 5924*x**2/3 + 1460264*x/3 + 976144/3 = 0.
-2/3, 494
Solve 3*y**4 + 240*y**3 + 465*y**2 - 240*y - 468 = 0 for y.
-78, -2, -1, 1
Suppose 2*k**3/7 + 110*k**2/7 = 0. What is k?
-55, 0
Solve -24*f**5 - 100*f**4 - 160*f**3 - 120*f**2 - 40*f - 4 = 0.
-1, -1/6
Factor -3*p**4 + 15*p**3 - 6*p**2 - 60*p + 72.
-3*(p - 3)*(p - 2)**2*(p + 2)
Factor x**2/3 + 2*x/3 - 1.
(x - 1)*(x + 3)/3
Determine s, given that -s**4 + 58*s**3 - 648*s**2 - 5632*s - 8192 = 0.
-4, -2, 32
Factor -i**4/8 - 5*i**3/8 + 3*i**2/8 + 17*i/8 + 5/4.
-(i - 2)*(i + 1)**2*(i + 5)/8
Let 5*s**2/3 + 85*s - 260/3 = 0. What is s?
-52, 1
Factor -o**4 + 125*o**3 + 4*o**2 - 500*o.
-o*(o - 125)*(o - 2)*(o + 2)
Suppose -50*m**4/3 - 290*m**3/3 + 92*m**2/3 + 200*m/3 + 16 = 0. Calculate m.
-6, -2/5, 1
Let 8*h**3 - 46*h**2 - 140*h - 32 = 0. Calculate h.
-2, -1/4, 8
Factor 5*b**4 - 400*b**3 + 395*b**2.
5*b**2*(b - 79)*(b - 1)
Solve 4*i**4 - 16*i**3 + 64*i - 64 = 0.
-2, 2
What is p in 5*p**2 + 220*p - 2385 = 0?
-53, 9
Factor -5*d**3 - 100*d**2 - 65*d + 570.
-5*(d - 2)*(d + 3)*(d + 19)
Solve -c**2/6 + 101*c - 30603/2 = 0.
303
Find k, given that 3*k**3/2 - 15*k**2/2 - 9*k = 0.
-1, 0, 6
Solve 4*b**3 + 296*b**2 - 2596*b + 2296 = 0.
-82, 1, 7
Find p, given that 4*p**5/5 + 4*p**4/5 - 4*p**3 - 4*p**2 + 16*p/5 + 16/5 = 0.
-2, -1, 1, 2
Find j, given that -2*j**4/3 + 14*j**3/3 - 16*j**2/3 - 56*j/3 + 32 = 0.
-2, 2, 3, 4
Solve l**5 - 638*l**4 + 101761*l**3 = 0.
0, 319
Factor -4*f**5 + 20*f**4 - 40*f**3 + 40*f**2 - 20*f + 4.
-4*(f - 1)**5
Let 40*h**2 + 596*h - 60 = 0. What is h?
-15, 1/10
Suppose -25*v**3 - 135*v**2 + 100*v + 60 = 0. What is v?
-6, -2/5, 1
Let 5*x**4/2 - 16*x**3 + 57*x**2/2 - 9*x = 0. Calculate x.
0, 2/5, 3
Determine h so that -h**3 + 152*h**2 - 5776*h = 0.
0, 76
Factor 386*h**2/15 + 2832*h/5 + 88/15.
2*(h + 22)*(193*h + 2)/15
Factor -3*c**3/8 + 33*c**2/4 - 273*c/8 + 153/4.
-3*(c - 17)*(c - 3)*(c - 2)/8
Suppose -5*q**3/7 - 17*q**2 - 696*q/7 + 144/7 = 0. Calculate q.
-12, 1/5
Factor 2*j**3/5 - 16*j**2/5 + 24*j/5.
2*j*(j - 6)*(j - 2)/5
Let -45*f**5 + 60*f**4 + 190*f**3 + 100*f**2 + 15*f = 0. What is f?
-1, -1/3, 0, 3
Factor n**3/5 + 39*n**2/5 + 72*n - 80.
(n - 1)*(n + 20)**2/5
Solve 2*n**2/11 + 114*n/11 - 236/11 = 0.
-59, 2
Determine v, given that 2*v**3/21 + 38*v**2/21 + 34*v/7 - 234/7 = 0.
-13, -9, 3
Suppose p**3/7 + 3*p**2/7 - 13*p/7 - 15/7 = 0. Calculate p.
-5, -1, 3
Factor 4*k**5 + 20*k**4 + 28*k**3 + 12*k**2.
4*k**2*(k + 1)**2*(k + 3)
Factor 2*c**2/17 - 20*c/17 + 32/17.
2*(c - 8)*(c - 2)/17
Factor -b**4 + 3*b**3 - 2*b**2.
-b**2*(b - 2)*(b - 1)
Determine f, given that 4*f**3/7 + 1096*f**2/7 - 2204*f/7 + 1104/7 = 0.
-276, 1
Factor -4*x**2 - 76*x - 336.
-4*(x + 7)*(x + 12)
Factor -2*t**4/7 - 6*t**3/7 + 8*t/7.
-2*t*(t - 1)*(t + 2)**2/7
Find s such that 6*s**4/7 + 32*s**3/7 - 24*s**2/7 = 0.
-6, 0, 2/3
Factor -n**2/7 + 16*n/7 - 9.
-(n - 9)*(n - 7)/7
Factor -4*l**3/3 - 820*l**2/3.
-4*l**2*(l + 205)/3
What is m in m**3/10 - 69*m**2/10 - 183*m/5 - 148/5 = 0?
-4, -1, 74
Solve -4*y**2 - 13384*y - 11195716 = 0 for y.
-1673
Solve 5*k**4/3 - 1420*k**3/3 + 33605*k**2 + 1420*k/3 - 100820/3 = 0.
-1, 1, 142
Find z, given that -z**2 - 234*z - 1368 = 0.
-228, -6
Determine j, given that 27*j**5 - 141*j**4 + 84*j**3 + 204*j**2 - 48*j = 0.
-1, 0, 2/9, 2, 4
Factor -h**4 + 548*h**3 - 99918*h**2 + 6028020*h + 6128487.
-(h - 183)**3*(h + 1)
Suppose 2*g**4 - 28*g**3 + 66*g**2 + 224*g + 128 = 0. What is g?
-1, 8
Solve -3*w**3 + 3849*w**2 = 0 for w.
0, 1283
Let -t**5/8 + 35*t**4/4 - 269*t**3/2 - 2627*t**2/4 - 4107*t/8 = 0. What is t?
-3, -1, 0, 37
Let -28*c**5 + 2316*c**4 + 692*c**3 - 2316*c**2 - 664*c = 0. Calculate c.
-1, -2/7, 0, 1, 83
Factor -2*n**4/5 + 70*n**3.
-2*n**3*(n - 175)/5
Determine r, given that -294*r**5 + 1204*r**4 + 1250*r**3 + 392*r**2 + 40*r = 0.
-1/3, -2/7, 0, 5
Determine p so that 3*p**5 - 99*p**4 + 279*p**3 - 273*p**2 + 90*p = 0.
0, 1, 30
Find t, given that 8*t**3 + 1572*t**2 - 1575*t/2 + 197/2 = 0.
-197, 1/4
Suppose 272*o**3 + 288*o**2 + 84*o + 4 = 0. Calculate o.
-1/2, -1/17
Factor r**5/9 - 6*r**4 - 37*r**3/3 - 56*r**2/9.
r**2*(r - 56)*(r + 1)**2/9
Factor 114005*h**2 - 172140*h + 64980.
5*(151*h - 114)**2
Suppose 2*f**2 - 192*f - 1010 = 0. What is f?
-5, 101
Factor 4*u**3 - 76*u**2 - 564*u - 900.
4*(u - 25)*(u + 3)**2
Factor 2*x**2/5 + 84*x/5.
2*x*(x + 42)/5
Determine t, given that 10*t**5/3 + 136*t**4 + 262*t**3 + 388*t**2/3 = 0.
-194/5, -1, 0
Factor 2*s**3/3 - 296*s**2 - 594*s - 892/3.
2*(s - 446)*(s + 1)**2/3
Factor -o**2 + 17*o - 60.
-(o - 12)*(o - 5)
Factor -5*q**4 + 470*q**3 + 15*q**2 - 1400*q - 940.
-5*(q - 94)*(q - 2)*(q + 1)**2
Factor -r**3 - 7*r**2.
-r**2*(r + 7)
Find d such that -2*d**2/19 + 168*d/19 = 0.
0, 84
Find i such that 14*i**4/9 - 32518*i**3/9 - 41828*i**2/9 - 9296*i/9 = 0.
-1, -2/7, 0, 2324
Let 2*p**5 - 142*p**4 - 744*p**3 - 1208*p**2 - 608*p = 0. What is p?
-2, -1, 0, 76
Suppose -24*f**3 - 45*f**2 + 78*f - 9 = 0. Calculate f.
-3, 1/8, 1
Solve -5*j**2 - 20*j - 15 = 0 for j.
-3, -1
Let 16*q**5 - 1044*q**4 + 244*q**3 + 1044*q**2 - 260*q = 0. What is q?
-1, 0, 1/4, 1, 65
Factor -4*z**4 - 16*z**3 - 4*z**2 + 24*z.
-4*z*(z - 1)*(z + 2)*(z + 3)
Find x such that -4*x**5 + 88*x**4 + 1492*x**3 + 4808*x**2 - 1488*x - 4896 = 0.
-6, -1, 1, 34
Let -170*d**2/3 + 856*d/3 - 10 = 0. What is d?
3/85, 5
Find q such that 10201*q**2 - 4848*q + 576 = 0.
24/101
Factor c**5 + 2*c**4 - 30*c**3 - 92*c**2 - 91*c - 30.
(c - 6)*(c + 1)**3*(c + 5)
Find j, given that 5*j**5 - 15*j**4 + 5*j**3 + 15*j**2 - 10*j = 0.
-1, 0, 1, 2
Factor k**2 - 55*k - 56.
(k - 56)*(k + 1)
Factor -5*c**4 - 37*c**3 - 94*c**2 - 92*c - 24.
-(c + 2)**2*(c + 3)*(5*c + 2)
Solve o**5 + 5*o**4 + o**3 - 13*o**2 - 2*o + 8 = 0 for o.
-4, -2, -1, 1
Find j, given that 85*j**2 - 435*j + 50 = 0.
2/17, 5
Factor 2*a**4/15 - 12*a**2/5 + 54/5.
2*(a - 3)**2*(a + 3)**2/15
Determine p so that 3*p**4 + 12*p**3 + 9*p**2 - 12*p - 12 = 0.
-2, -1, 1
Find i, given that -4*i**3 + 52*i**2 + 64*i