y**2 + 945*y + 14210.
-5*(y - 203)*(y + 14)
Determine x, given that 6*x**2/11 + 3072*x/11 - 1410 = 0.
-517, 5
Suppose 5*x**4 + 80*x**3 + 120*x**2 - 1600*x + 2000 = 0. Calculate x.
-10, 2
Find r such that 5*r**5 - 1095*r**4 + 61575*r**3 - 178205*r**2 + 176040*r - 58320 = 0.
1, 108
Suppose -12*p**4 + 668*p**3 - 5836*p**2 + 3380*p + 1800 = 0. Calculate p.
-1/3, 1, 10, 45
Solve 5*s**3 + 5*s**2 - 80*s - 80 = 0.
-4, -1, 4
Factor z**2/11 - 222*z/11 + 12321/11.
(z - 111)**2/11
Determine o, given that -4*o**5/7 + 104*o**4/7 + 108*o**3/7 = 0.
-1, 0, 27
Factor -w**2 + 92*w - 2116.
-(w - 46)**2
Let 12*h**5 - 176*h**4 + 732*h**3 - 1128*h**2 + 400*h + 288 = 0. What is h?
-1/3, 2, 9
Find b, given that -3*b**5/11 + 59*b**4/11 + 29*b**3/11 - 183*b**2/11 + 58*b/11 + 40/11 = 0.
-2, -1/3, 1, 20
Factor 2*p**2/23 + 36*p/23.
2*p*(p + 18)/23
Let 3*t**2 - 9*t - 12 = 0. Calculate t.
-1, 4
Factor 2*f**2/9 + 4*f + 160/9.
2*(f + 8)*(f + 10)/9
Find j, given that -j**4/4 - j**3 + 5*j**2/2 + 7*j + 15/4 = 0.
-5, -1, 3
Determine h so that 60*h**4 + 64*h**3 + 4*h**2 = 0.
-1, -1/15, 0
Determine h so that 4*h**4 - 112*h**3 - 240*h**2 = 0.
-2, 0, 30
Solve 8*w**4 - 652*w**3 - 1692*w**2 + 1008*w = 0.
-3, 0, 1/2, 84
Let -n**5/2 + 87*n**4 + 90*n**3 - 439*n**2 + 525*n/2 = 0. Calculate n.
-3, 0, 1, 175
Suppose 8*r**5 + 100*r**4 - 196*r**3 - 344*r**2 + 656*r - 224 = 0. Calculate r.
-14, -2, 1/2, 1, 2
Factor k**2/5 + 976*k/5 - 977/5.
(k - 1)*(k + 977)/5
What is d in -d**3 - 38*d**2 - 201*d - 288 = 0?
-32, -3
Solve -20*p**3 - 140*p**2 + 155*p - 40 = 0.
-8, 1/2
Factor -3*l**5 + 6*l**4 + 9*l**3 - 12*l**2 - 12*l.
-3*l*(l - 2)**2*(l + 1)**2
Factor -8*r**4 - 30*r**3 - 24*r**2 + 8*r.
-2*r*(r + 2)**2*(4*r - 1)
Solve 4*i**5 + 68*i**4 + 72*i**3 - 664*i**2 + 820*i - 300 = 0.
-15, -5, 1
Factor t**2/4 - 219*t + 47961.
(t - 438)**2/4
Factor -2*u**2/13 + 82*u/13.
-2*u*(u - 41)/13
Factor -5*y**2/2 - 100*y - 195/2.
-5*(y + 1)*(y + 39)/2
Let 44*r**2 - 58*r - 40 = 0. Calculate r.
-1/2, 20/11
Determine o so that -4*o**4 - 128*o**3 - 1248*o**2 - 3584*o - 3136 = 0.
-14, -2
Factor 5*b**3 - 1515*b**2.
5*b**2*(b - 303)
Factor 2*r**4 + 28*r**3 - 6*r**2 - 80*r + 56.
2*(r - 1)**2*(r + 2)*(r + 14)
Suppose -2*q**3 + 12*q**2 + 14*q = 0. What is q?
-1, 0, 7
Determine x, given that -x**3/5 + 16*x**2/5 - 13*x/5 - 6 = 0.
-1, 2, 15
Factor -3*h**5 - 39*h**4 - 144*h**3 + 96*h**2 + 1536*h + 2304.
-3*(h - 3)*(h + 4)**4
Determine q so that 5*q**4 + 55*q**3 + 45*q**2 - 55*q - 50 = 0.
-10, -1, 1
Suppose -45*y**5/4 + 33*y**4 - 30*y**3 + 9*y**2/2 + 21*y/4 - 3/2 = 0. Calculate y.
-2/5, 1/3, 1
Suppose 2*v**2/11 - 122*v/11 - 124/11 = 0. Calculate v.
-1, 62
Determine k, given that -2*k**3 + 28*k**2 - 112*k + 128 = 0.
2, 4, 8
Factor -4*p**3 + 1824*p**2 - 277248*p + 14047232.
-4*(p - 152)**3
Suppose -i**4/3 - 5*i**3/2 - 6*i**2 - 9*i/2 = 0. Calculate i.
-3, -3/2, 0
Factor -q**2/3 - 50*q/3 + 17.
-(q - 1)*(q + 51)/3
Factor -5*c**2 + 670*c - 22445.
-5*(c - 67)**2
Suppose -x**2/2 - 179*x/2 + 90 = 0. What is x?
-180, 1
Factor 4*b**5/5 - 36*b**4/5 + 56*b**3/5.
4*b**3*(b - 7)*(b - 2)/5
Solve -2*p**4/13 + 10*p**3/13 + 20*p**2/13 - 40*p/13 - 48/13 = 0 for p.
-2, -1, 2, 6
Suppose -1156*v**4 - 8364*v**3 - 15792*v**2 - 3376*v - 192 = 0. What is v?
-4, -3, -2/17
What is s in 2*s**5/5 - 323*s**4/5 + 793*s**3/5 + 329*s**2/5 - 351*s + 954/5 = 0?
-3/2, 1, 2, 159
Determine t so that 5*t**3/2 + 197*t**2/4 - 135*t/2 + 63/4 = 0.
-21, 3/10, 1
Determine p, given that -21*p**4/2 + 421*p**3/2 - 2*p**2 - 158*p - 40 = 0.
-2/3, -2/7, 1, 20
Solve -1364*g**2 + 1356*g + 8 = 0 for g.
-2/341, 1
Factor -6*d**3 + 3135*d**2/2 - 783*d/2.
-3*d*(d - 261)*(4*d - 1)/2
Solve m**5 - 3*m**4 - 16*m**3 + 52*m**2 - 64 = 0.
-4, -1, 2, 4
Factor 2*w**3/9 + 26*w**2/9 - 22*w/3 - 10.
2*(w - 3)*(w + 1)*(w + 15)/9
Find k, given that -70805*k**3 + 74375*k**2 - 3615*k + 45 = 0.
3/119, 1
Let 2*m**2/3 - 1528*m/3 + 291848/3 = 0. Calculate m.
382
Factor 4*g**2 - 44*g + 112.
4*(g - 7)*(g - 4)
Factor 2*x**2/13 - 636*x/13 + 1890/13.
2*(x - 315)*(x - 3)/13
Find m, given that -2*m**4/15 - 18*m**3/5 - 10*m**2 - 146*m/15 - 16/5 = 0.
-24, -1
Find t, given that 3*t**4 - 15*t**3 - 63*t**2 - 69*t - 24 = 0.
-1, 8
Let 3*p**5 - 15*p**4 + 24*p**3 - 12*p**2 = 0. Calculate p.
0, 1, 2
Factor -49*m**2/3 + 30940*m/3 - 4884100/3.
-(7*m - 2210)**2/3
Find m such that -5*m**5/2 - 30*m**4 - 85*m**3 + 30*m**2 + 175*m/2 = 0.
-7, -5, -1, 0, 1
Factor -w**2/3 - w - 2/3.
-(w + 1)*(w + 2)/3
Solve -4*b**3 - 136*b**2 - 1212*b - 2520 = 0.
-21, -10, -3
Let 5*q**5 + 190*q**4 + 1800*q**3 - 190*q**2 - 1805*q = 0. Calculate q.
-19, -1, 0, 1
Factor 2*k**2/5 + 2*k/5 - 4/5.
2*(k - 1)*(k + 2)/5
Find g, given that -g**2 + 21*g + 22 = 0.
-1, 22
Factor 3*q**3/7 - 3*q**2 + 33*q/7 - 15/7.
3*(q - 5)*(q - 1)**2/7
Let t**2/5 + 47*t/5 + 46/5 = 0. What is t?
-46, -1
What is t in 81*t**2/2 - 99*t + 121/2 = 0?
11/9
Let -v**5/3 + 20*v**4/3 - 76*v**3/3 - 2*v**2 + 111*v - 90 = 0. Calculate v.
-2, 1, 3, 15
Factor 2*r**4 - 18*r**3 + 36*r**2 + 8*r - 48.
2*(r - 6)*(r - 2)**2*(r + 1)
Determine b, given that -5*b**3 + 1190*b**2/3 + 805*b/3 - 400/3 = 0.
-1, 1/3, 80
Suppose 5*a**5 - 10*a**4 - 5*a**3 + 10*a**2 = 0. Calculate a.
-1, 0, 1, 2
Factor -2*g**2 - 16*g + 96.
-2*(g - 4)*(g + 12)
Solve 36*j**3 - 20*j**2 - 88*j - 32 = 0.
-1, -4/9, 2
Factor -18*t**5/7 - 255*t**4 - 297*t**3/7.
-3*t**3*(t + 99)*(6*t + 1)/7
Determine y so that 5*y**5 - 80*y**4 + 315*y**3 + 80*y**2 - 320*y = 0.
-1, 0, 1, 8
Factor -2*o**4/5 + 104*o**3 - 10140*o**2 + 439400*o - 7140250.
-2*(o - 65)**4/5
Suppose -h**5 + 17*h**3 + 12*h**2 - 52*h - 48 = 0. Calculate h.
-3, -2, -1, 2, 4
Suppose -n**2 + 41*n - 420 = 0. Calculate n.
20, 21
Factor d**2 - 1753*d - 1754.
(d - 1754)*(d + 1)
Solve d**5/2 + d**4/2 - 6*d**3 = 0.
-4, 0, 3
Determine a so that 9*a**5/2 - 381*a**4/2 + 3699*a**3/2 + 7125*a**2/2 + 792*a - 726 = 0.
-1, 1/3, 22
Let -2*a**2/13 + 2294*a/13 = 0. What is a?
0, 1147
Factor -4*o**3 - 1772*o**2 - 203980*o - 1695204.
-4*(o + 9)*(o + 217)**2
Factor -q**2/5 - 21*q/5 + 22/5.
-(q - 1)*(q + 22)/5
Factor 3*m**2/4 - 195*m/4.
3*m*(m - 65)/4
Find d such that 3*d**5 - 13*d**4 + d**3 + 49*d**2 - 52*d + 12 = 0.
-2, 1/3, 1, 2, 3
Factor -2*d**4 - 15*d**3 - 37*d**2 - 33*d - 9.
-(d + 1)*(d + 3)**2*(2*d + 1)
Factor 20*n**4 + 48*n**3 - 36*n**2.
4*n**2*(n + 3)*(5*n - 3)
Factor 5*w**2 + 90*w.
5*w*(w + 18)
Factor v**4/2 - v**3/4 - 5*v**2/4 - v/2.
v*(v - 2)*(v + 1)*(2*v + 1)/4
Determine l, given that 3*l**3/2 + 75*l**2/2 + 288*l + 648 = 0.
-12, -9, -4
Factor -4*q**2.
-4*q**2
Determine x so that -5*x**3 - 520*x**2 - 12985*x + 28090 = 0.
-53, 2
Factor 2*r**3/21 + 640*r**2/21 + 51200*r/21.
2*r*(r + 160)**2/21
What is s in 21*s**4 + 204*s**3 + 423*s**2 + 156*s - 84 = 0?
-7, -2, -1, 2/7
Determine r so that -r**4 + 7*r**3 + 7*r**2 - 43*r - 42 = 0.
-2, -1, 3, 7
Determine j, given that -3*j**4/4 + 13*j**3/2 + 11*j**2 - 10*j = 0.
-2, 0, 2/3, 10
Solve -g**5/6 - 2*g**4/3 + 2*g**3/3 + 8*g**2/3 = 0.
-4, -2, 0, 2
Factor 5*l**4 - 55*l**3 + 95*l**2 - 45*l.
5*l*(l - 9)*(l - 1)**2
Determine y, given that -2*y**2 - 448*y - 25088 = 0.
-112
Determine y so that 5*y**5 + 10*y**4 - 155*y**3 - 460*y**2 - 300*y = 0.
-5, -2, -1, 0, 6
Determine d so that d**5/9 - 2*d**4/3 - 16*d**3/3 - 74*d**2/9 - 11*d/3 = 0.
-3, -1, 0, 11
Factor -3*l**5/7 + 24*l**4/7 + 60*l**3/7.
-3*l**3*(l - 10)*(l + 2)/7
Factor 3*m**3/5 - 138*m**2/5 - 57*m - 144/5.
3*(m - 48)*(m + 1)**2/5
Factor -p**4 + 39*p**3 - 518*p**2 + 2496*p - 2016.
-(p - 14)*(p - 12)**2*(p - 1)
Factor h**3/2 - 199*h**2 + 790*h - 788.
(h - 394)*(h - 2)**2/2
Let -2*n**4/3 - 4*n**3/3 + 8*n**2 + 80*n/3 + 64/3 = 0. Calculate n.
-2, 4
Factor 2*z**4 + 1210*z**3 - 3642*z**2 + 3646*z - 1216.
2*(z - 1)**3*(z + 608)
Determine r, given that -2*r**4/11 - 4*r**3 - 282*r**2/11 - 40*r - 200/11 = 0.
-10, -1
Factor 3*i**2 + 126*i + 1323.
3*(i + 21)**2
Factor -6*q**2 + 610*q - 404.
-2*(q - 101)*(3*q - 2)
Solve -25*u**4 + 535*u**3 - 3260*u**2 + 5420*u - 1680 = 0.
2/5, 2, 7, 12
Factor 5*u**2 - 12350*u + 7626125.
5*(u - 1235)**2
Factor 2*q**3/11 + 14*q**2/11 + 8*q/11 - 24/11.
2*(q - 1)*(q + 2)*(q + 6)/11
Find c, given that -363*c**4/4 + 330*c**3 - 573*c**2/4 - 87*c - 9 = 0.
-2/11, 1, 3
Suppose x**2/2 - 41*x/2 + 174 = 0. Calculate x.
12, 29
What is d in -4*d**4/3 + 8*d**3 + 304*d**2/3 + 248*d + 156 = 0?
-3, -1, 13
Fact