
-3, 1, 2
What is k in 5*k**2 + 60*k + 135 = 0?
-9, -3
Determine x, given that -3*x**4 - 33*x**3 - 27*x**2 + 33*x + 30 = 0.
-10, -1, 1
Factor 3*p**3 - 141*p**2 + 138*p.
3*p*(p - 46)*(p - 1)
Factor y**2/6 - 61*y/3 - 41/2.
(y - 123)*(y + 1)/6
Factor -t**4/8 + 57*t**2/8 + 49*t/2 + 45/2.
-(t - 9)*(t + 2)**2*(t + 5)/8
Solve -9*z**3 + 159*z**2 - 351*z - 135 = 0.
-1/3, 3, 15
Factor 178*k**3 - 530*k**2 + 344*k + 8.
2*(k - 2)*(k - 1)*(89*k + 2)
Factor -243*s**4 + 15336*s**3 - 235056*s**2 - 218112*s - 49152.
-3*(s - 32)**2*(9*s + 4)**2
Factor 2*m**3 + 266*m**2 + 526*m + 262.
2*(m + 1)**2*(m + 131)
Factor r**4/2 + r**3/2 - 9*r**2/2 + 11*r/2 - 2.
(r - 1)**3*(r + 4)/2
Let 3*s**2/2 + 25*s/2 + 11 = 0. Calculate s.
-22/3, -1
Factor -98*v**5/9 + 238*v**4/9 + 160*v**3/9 + 8*v**2/3.
-2*v**2*(v - 3)*(7*v + 2)**2/9
Find k such that 10*k**5 + 58*k**4 + 78*k**3 - 18*k**2 = 0.
-3, 0, 1/5
Let -2*c**5 + 312*c**4 - 8252*c**3 - 305448*c**2 - 1916882*c = 0. What is c?
-11, 0, 89
Let 3*q**2/5 - 237*q/5 - 252 = 0. Calculate q.
-5, 84
Factor -r**4 + 20*r**3 - 33*r**2 - 54*r.
-r*(r - 18)*(r - 3)*(r + 1)
Factor -2*n**4/3 - 8*n**3/3.
-2*n**3*(n + 4)/3
Let -2*u**2/13 + 8036*u/13 - 8072162/13 = 0. What is u?
2009
Suppose -9*y**3 - 30*y**2 + 81*y + 30 = 0. Calculate y.
-5, -1/3, 2
Factor -3*b**3/5 + 222*b**2/5 + 1248*b/5 - 48672.
-3*(b - 52)**2*(b + 30)/5
Factor 4*z**3 - 60*z**2 - 1152*z - 3888.
4*(z - 27)*(z + 6)**2
Determine k, given that -4*k**3/7 - 52*k**2/7 - 88*k/7 = 0.
-11, -2, 0
Let 24*j**3 - 46*j**2 + 20*j + 2 = 0. What is j?
-1/12, 1
Determine p so that 252*p**5 + 1136*p**4 - 228*p**3 - 4856*p**2 - 2352*p - 288 = 0.
-3, -2/7, -2/9, 2
Let -5*i**5 - 25*i**4 + 30*i**3 + 220*i**2 - 40*i - 480 = 0. Calculate i.
-4, -3, -2, 2
Solve 56*a**4 + 142*a**3 - 104*a**2 - 82*a - 12 = 0 for a.
-3, -2/7, -1/4, 1
Find p, given that 2*p**2/5 + 188*p/5 - 784/5 = 0.
-98, 4
Find h such that 27*h**5 - 2085*h**4 + 37182*h**3 + 121440*h**2 - 28800*h = 0.
-3, 0, 2/9, 40
Factor -15*f**4/4 + 47*f**3/4 - 51*f**2/4 + 21*f/4 - 1/2.
-(f - 1)**3*(15*f - 2)/4
Determine l, given that 1175*l**2/2 + 2351*l/2 + 1 = 0.
-2, -1/1175
Determine y, given that -18*y**4/7 + 1140*y**3/7 - 368*y**2/7 - 628*y/7 - 18 = 0.
-1/3, 1, 63
Factor 2*y**3 - 1306*y**2 - 3932*y - 2624.
2*(y - 656)*(y + 1)*(y + 2)
Factor -2*z**3/9 + 2*z/9.
-2*z*(z - 1)*(z + 1)/9
Factor 6*i**4/11 - 24*i**3/11 - 12*i**2/11 + 72*i/11 + 54/11.
6*(i - 3)**2*(i + 1)**2/11
Suppose -5*i**2 + 2590*i + 2595 = 0. Calculate i.
-1, 519
Find l such that -20*l**4 - 64*l**3 + 248*l**2 + 352*l + 60 = 0.
-5, -1, -1/5, 3
Solve 2*r**4/3 - 2*r**3 - 6*r**2 - 10*r/3 = 0 for r.
-1, 0, 5
Solve -a**2 - 5*a + 6 = 0 for a.
-6, 1
Suppose -6*y**5 - 154*y**4 - 94*y**3 + 154*y**2 + 100*y = 0. Calculate y.
-25, -1, -2/3, 0, 1
Factor n**2 - 304*n + 23104.
(n - 152)**2
Factor -2*g**2/5 - 14*g/5.
-2*g*(g + 7)/5
Let 2*g**3/3 - 34*g**2/3 = 0. Calculate g.
0, 17
Let c**2 - 313*c - 1268 = 0. What is c?
-4, 317
Factor p**4/3 - 113*p**3/3 + 2752*p**2/3 + 8720*p - 9600.
(p - 60)**2*(p - 1)*(p + 8)/3
What is u in 578*u**3/9 - 204*u**2 + 520*u/3 - 400/9 = 0?
10/17, 2
Let 14*s**4/9 + 254*s**3/9 + 1114*s**2/9 + 154*s/9 = 0. What is s?
-11, -7, -1/7, 0
Factor m**5/6 - m**4/2 - 7*m**3/6 + 5*m**2/2 + 3*m.
m*(m - 3)**2*(m + 1)*(m + 2)/6
Determine c so that -c**4/2 - 23*c**3 - 429*c**2/2 + 1150*c - 1250 = 0.
-25, 2
Solve 2*q**5/5 - 1978*q**4/5 + 653396*q**3/5 - 72523444*q**2/5 + 143094602*q/5 - 71222578/5 = 0 for q.
1, 329
Determine x so that 3*x**5/5 - 57*x**4/5 + 291*x**3/5 - 27*x**2 - 486*x/5 = 0.
-1, 0, 2, 9
Find a, given that -4*a**3 - 84*a**2 + 96*a + 176 = 0.
-22, -1, 2
Determine u so that 4*u**4 - 292*u**3 + 1377*u**2 - 1160*u + 272 = 0.
1/2, 4, 68
Find t such that -5*t**5 - 5*t**4 + 30*t**3 - 10*t**2 - 25*t + 15 = 0.
-3, -1, 1
Suppose 18*h**5 + 219*h**4 + 1008*h**3 + 2106*h**2 + 1782*h + 243 = 0. Calculate h.
-3, -1/6
What is p in -4*p**5 - 148*p**4 - 268*p**3 + 420*p**2 = 0?
-35, -3, 0, 1
Solve -14*v**4 + 94*v**3 - 182*v**2 + 66*v + 36 = 0 for v.
-2/7, 1, 3
Factor 2*y**3 - 11*y**2 + 10*y + 8.
(y - 4)*(y - 2)*(2*y + 1)
Let -4*t**5 + 16*t**4 - 12*t**3 - 16*t**2 + 16*t = 0. Calculate t.
-1, 0, 1, 2
Suppose -2*q**4/9 - 2*q**3/9 + 2*q**2/3 + 10*q/9 + 4/9 = 0. Calculate q.
-1, 2
Factor -11*f**4 - 9*f**3 + 13*f**2 + 9*f - 2.
-(f - 1)*(f + 1)**2*(11*f - 2)
Suppose 5*s**2 + 2905*s/3 + 1930/3 = 0. What is s?
-193, -2/3
Factor 2*f**2 + 74*f.
2*f*(f + 37)
Let -2*y**3/7 + 82*y**2/7 + 78*y + 846/7 = 0. What is y?
-3, 47
Determine c, given that -165*c**3/2 + 1015*c**2/2 - 455*c - 100 = 0.
-2/11, 4/3, 5
Solve 3*g**5 - 61*g**4/3 - 59*g**3/3 + 665*g**2/3 + 50*g = 0 for g.
-3, -2/9, 0, 5
Factor 3*w**2/2 - 849*w + 3372.
3*(w - 562)*(w - 4)/2
Suppose -2*h**2/7 - 272*h/7 - 270/7 = 0. Calculate h.
-135, -1
Find c, given that -8*c**4 - 174*c**3 - 124*c**2 + 42*c = 0.
-21, -1, 0, 1/4
Factor -y**4/5 + y**3/5 + 12*y**2/5.
-y**2*(y - 4)*(y + 3)/5
Find n, given that 126*n**4 + 440*n**3 - 878*n**2 + 352*n - 40 = 0.
-5, 2/9, 2/7, 1
Factor 5*q**2 + 9360*q - 18740.
5*(q - 2)*(q + 1874)
What is t in 3*t**3/7 + 12*t**2/7 - 15*t - 450/7 = 0?
-5, 6
Solve n**5/4 + 1721*n**4/4 - 5171*n**3/4 + 1727*n**2/4 + 2585*n/2 - 862 = 0 for n.
-1724, -1, 1, 2
Let 2*b**5 + 74*b**4 - 242*b**3 - 74*b**2 + 240*b = 0. What is b?
-40, -1, 0, 1, 3
Determine i so that 60*i**5 + 681*i**4 + 558*i**3 - 5991*i**2 + 3612*i - 540 = 0.
-9, -5, 1/4, 2/5, 2
Factor -o**4 - 78*o**3.
-o**3*(o + 78)
Factor -l**3 + 23*l**2 - 43*l + 21.
-(l - 21)*(l - 1)**2
Find t such that 6*t**3 + 382*t**2 + 624*t + 248 = 0.
-62, -1, -2/3
Determine c, given that 2*c**4 - 16*c**3 - 18*c**2 = 0.
-1, 0, 9
Factor g**2/2 + 3*g + 4.
(g + 2)*(g + 4)/2
Determine r so that 29*r**4/2 - 169*r**3/4 + 101*r**2/4 + 5*r/2 = 0.
-5/58, 0, 1, 2
Solve -s**2/4 + 65*s/4 - 61 = 0.
4, 61
Factor 2*n**2/11 + 206*n/11 + 1692/11.
2*(n + 9)*(n + 94)/11
Find s such that -s**4/8 + 9*s**3/8 + 21*s**2/8 + 11*s/8 = 0.
-1, 0, 11
Factor 2*o**4 - 258*o**2 - 968*o - 936.
2*(o - 13)*(o + 2)**2*(o + 9)
Suppose -x**5/2 + 11*x**4/2 + 3*x**3/2 - 31*x**2/2 - 11*x = 0. Calculate x.
-1, 0, 2, 11
Let 7*w**4/2 - 513*w**3/2 - 897*w**2/2 - 227*w/2 + 75 = 0. What is w?
-1, 2/7, 75
Factor -3*u**3 - 645*u**2 + 1956*u - 1308.
-3*(u - 2)*(u - 1)*(u + 218)
Suppose 3*j**5 - 162*j**4 + 1557*j**3 + 1722*j**2 = 0. What is j?
-1, 0, 14, 41
Suppose 5*c**5/3 + 10*c**4/3 - 160*c**3/3 + 50*c**2 + 105*c = 0. Calculate c.
-7, -1, 0, 3
Factor 2*h**2 - 1190*h + 5900.
2*(h - 590)*(h - 5)
Let -2*r**2 - 626*r - 624 = 0. What is r?
-312, -1
Factor 75076*y**3 + 77268*y**2 + 2208*y + 16.
4*(y + 1)*(137*y + 2)**2
Let 4*j**5/3 - 8*j**4 - 4*j**3/3 + 8*j**2 = 0. What is j?
-1, 0, 1, 6
Factor -4*b**2 + 4564*b - 9112.
-4*(b - 1139)*(b - 2)
Suppose -4*u**3/11 + 10*u**2/11 - 8*u/11 + 2/11 = 0. What is u?
1/2, 1
Factor 63*c**3 - 249*c**2 + 240*c + 12.
3*(c - 2)**2*(21*c + 1)
Factor 5*s**3 + 2620*s**2 + 2605*s - 5230.
5*(s - 1)*(s + 2)*(s + 523)
Solve -p**3/4 - 14*p**2 + 181*p/4 + 59 = 0.
-59, -1, 4
Factor 110*t**2 + 3955*t - 180.
5*(t + 36)*(22*t - 1)
Solve 2*d**4/11 - 2*d**3 + 20*d**2/11 = 0.
0, 1, 10
Determine m, given that -2*m**5/7 - 474*m**4/7 - 3978*m**3 + 4046*m**2 = 0.
-119, 0, 1
Suppose -k**2/5 - 8*k/5 - 3 = 0. What is k?
-5, -3
Solve 3*q**3 - 294*q**2 + 7488*q - 13824 = 0 for q.
2, 48
Factor -20*r**2 - 242*r - 24.
-2*(r + 12)*(10*r + 1)
Find m such that -m**5 + 18*m**4 - 48*m**3 + 46*m**2 - 15*m = 0.
0, 1, 15
Factor -4*m**5 - 64*m**4 - 312*m**3 - 448*m**2 - 196*m.
-4*m*(m + 1)**2*(m + 7)**2
Find s, given that -s**4/6 - 146*s**3/3 - 3601*s**2 - 21170*s/3 - 21025/6 = 0.
-145, -1
Solve -6*a**4/19 + 74*a**3/19 + 146*a**2/19 - 74*a/19 - 140/19 = 0 for a.
-5/3, -1, 1, 14
Determine x, given that x**5/3 - 2*x**4/3 - 8*x**3/3 + 6*x**2 - 3*x = 0.
-3, 0, 1, 3
Suppose d**5 + 30*d**4 + 153*d**3 - 1832*d**2 - 12288*d - 18432 = 0. What is d?
-16, -3, 8
Determine t so that -3*t**3 - 2*t**2 + 7*t - 2 = 0.
-2, 1/3, 1
Factor -3*s**2/4 - 267*s/4 - 1185/2.
-3*(s + 10)*(s + 79)/4
Find q such that -12*q**3 - 8*q**2 + 28*q - 8 = 0.
-2, 1/3, 1
Factor d**3/3 - 176*d**2/3 - 356*d/3.
d*(d - 178)*(d + 2)/3
Solve -o**3/11 + 17*o**2/11 - 70*o/11 = 0.
0, 7, 10
Suppose -h**5/2 + 25*h**4 - 277*h**3/2 + 292*h**2 - 266*h + 88 = 0. Calculate h.
1, 2, 44
Solve 4*c**4 - 16*c**3 + 