4244*v**2 + 23168*v + 27648 = 0.
-1, 16, 27
Factor -4*r**4 - 680*r**3 - 28896*r**2 + 680*r + 28900.
-4*(r - 1)*(r + 1)*(r + 85)**2
Factor m**3 + 19*m**2 + 55*m - 363.
(m - 3)*(m + 11)**2
Let -3*b**4/2 - 3*b**3/2 + 27*b**2/2 - 33*b/2 + 6 = 0. What is b?
-4, 1
Suppose -u**5/2 + 9*u**4/2 - 27*u**3/2 + 31*u**2/2 - 6*u = 0. Calculate u.
0, 1, 3, 4
Suppose -45*v**4 + 795*v**3 + 4090*v**2 + 4340*v + 1320 = 0. What is v?
-3, -2/3, 22
Factor -4*g**3 + 56*g**2 + 204*g.
-4*g*(g - 17)*(g + 3)
Factor -28*w**3 - 1828*w**2 + 1328*w + 528.
-4*(w - 1)*(w + 66)*(7*w + 2)
Let 3*j**4/2 + 51*j**3/2 + 315*j**2/2 + 825*j/2 + 375 = 0. What is j?
-5, -2
Find t, given that -10*t**5 - 205*t**4 - 465*t**3 - 270*t**2 = 0.
-18, -3/2, -1, 0
Factor -575*d**2 + 6890*d + 120.
-5*(d - 12)*(115*d + 2)
Determine l, given that -3*l**5/5 - 54*l**4/5 - 207*l**3/5 + 384*l**2/5 + 108*l = 0.
-10, -9, -1, 0, 2
Find j such that 4*j**3 - 8546*j**2/3 + 1522256*j/3 - 253472/3 = 0.
1/6, 356
Factor -3*v**4 + 3*v**3 + 21*v**2 - 39*v + 18.
-3*(v - 2)*(v - 1)**2*(v + 3)
Let 3*n**3 - 96*n**2 + 387*n + 486 = 0. What is n?
-1, 6, 27
What is v in 24*v**4 + 315*v**3 + 879*v**2 - 1071*v - 147 = 0?
-7, -1/8, 1
Determine z, given that 2*z**4 - 24*z**3 + 44*z**2 + 168*z + 98 = 0.
-1, 7
Find t, given that 5*t**4 + 8*t**3 - 29*t**2 - 20*t + 12 = 0.
-3, -1, 2/5, 2
Find z, given that -4*z**4/5 + 24*z**3/5 - 36*z**2/5 + 16*z/5 = 0.
0, 1, 4
What is r in -3*r**5/2 - 3*r**4/2 + 105*r**3/2 + 387*r**2/2 + 189*r = 0?
-3, -2, 0, 7
Solve -m**2 + 19*m + 92 = 0.
-4, 23
Solve 28*m**2 + 8*m/3 - 4 = 0.
-3/7, 1/3
Factor -4*h**3 - 16*h**2/3 + 68*h/3 + 8.
-4*(h - 2)*(h + 3)*(3*h + 1)/3
Suppose q**4/3 - 115*q**3 + 13225*q**2 - 1520875*q/3 = 0. Calculate q.
0, 115
Factor 2*c**5 - 138*c**4 - 572*c**3 - 868*c**2 - 582*c - 146.
2*(c - 73)*(c + 1)**4
Factor -5*x**3 - 25*x**2 - 15*x + 45.
-5*(x - 1)*(x + 3)**2
Factor k**2 - 51*k + 188.
(k - 47)*(k - 4)
Determine s, given that 90*s**5 - 362*s**4 - 82*s**3 + 362*s**2 - 8*s = 0.
-1, 0, 1/45, 1, 4
Let l**2/6 + 94*l/3 = 0. What is l?
-188, 0
Factor 6*g**2/11 - 116*g/11 - 80/11.
2*(g - 20)*(3*g + 2)/11
Factor -4*d**2 - 120*d + 256.
-4*(d - 2)*(d + 32)
Determine r, given that -r**2/5 - 501*r/5 - 100 = 0.
-500, -1
Suppose 3*k**2 + 144*k + 276 = 0. Calculate k.
-46, -2
Determine b, given that -4*b**4 - 28*b**3 - 44*b**2 - 20*b = 0.
-5, -1, 0
Factor -2*v**3 - 96*v**2 - 262*v + 360.
-2*(v - 1)*(v + 4)*(v + 45)
Factor 5*o**4 + 85*o**3.
5*o**3*(o + 17)
Factor 2*i**4/13 - 224*i**3/13.
2*i**3*(i - 112)/13
Factor -5*a**3.
-5*a**3
Factor -t**3/6 + 67*t**2 - 6800*t + 40000/3.
-(t - 200)**2*(t - 2)/6
Solve -h**3/5 + 16*h**2/5 - 69*h/5 + 18 = 0.
3, 10
Factor 4*p**4 + 24*p**3 + 36*p**2 + 16*p.
4*p*(p + 1)**2*(p + 4)
What is f in -4*f**2/3 - 44*f - 728/3 = 0?
-26, -7
Determine p so that -4*p**5 - 12*p**4 + 4*p**3 + 44*p**2 + 48*p + 16 = 0.
-2, -1, 2
Factor -4*a**5 - 80*a**4 + 1104*a**3 - 3008*a**2 - 3328*a + 15360.
-4*(a - 4)**3*(a + 2)*(a + 30)
Suppose t**2 - 240*t = 0. Calculate t.
0, 240
Determine m, given that 537*m**2/5 - 6*m/5 = 0.
0, 2/179
Suppose -b**3/3 + 56*b**2/3 + 59*b/3 - 38 = 0. What is b?
-2, 1, 57
Factor -14*p**3/15 + 562*p**2/15 - 1136*p/3 + 160/3.
-2*(p - 20)**2*(7*p - 1)/15
Let 3*g**3 + 66*g**2 + 123*g + 60 = 0. Calculate g.
-20, -1
Factor 124*m**4/7 + 256*m**3/7 + 16*m**2/7.
4*m**2*(m + 2)*(31*m + 2)/7
Solve -5*a**5 + 180*a**4 - 240*a**3 - 23360*a**2 - 122880*a - 184320 = 0 for a.
-4, 24
Determine x, given that 3*x**4 + 62*x**3 + 37*x**2 - 62*x - 40 = 0.
-20, -1, -2/3, 1
Suppose 3*g**2/2 - 365*g + 243/2 = 0. Calculate g.
1/3, 243
Factor -2*c**3 + 35*c**2/2 - 47*c/2 - 7.
-(c - 7)*(c - 2)*(4*c + 1)/2
Suppose -2*h**5 + 11*h**4/3 + 7*h**3 + h**2/3 - h = 0. Calculate h.
-1, -1/2, 0, 1/3, 3
What is l in -208*l**5 - 452*l**4 - 120*l**3 + 272*l**2 + 136*l - 12 = 0?
-1, 1/13, 3/4
Factor r**2 + 122*r + 912.
(r + 8)*(r + 114)
Factor -3*v**4 + 4464*v**3 - 2490912*v**2 + 617746176*v - 57450394368.
-3*(v - 372)**4
Let 4*c**3/7 + 132*c**2/7 + 1404*c/7 + 676 = 0. What is c?
-13, -7
Solve 2*c**5/13 + 16*c**4/13 - 60*c**3/13 + 64*c**2/13 - 22*c/13 = 0 for c.
-11, 0, 1
Find t, given that 2*t**2/3 + 32*t/3 + 42 = 0.
-9, -7
Solve 10*h**4 + 1855*h**3 + 87405*h**2 + 127880*h + 42320 = 0.
-92, -1, -1/2
Factor -r**3 + 1095*r**2 - 300303*r + 299209.
-(r - 547)**2*(r - 1)
Factor -x**2/5 - 10*x + 51/5.
-(x - 1)*(x + 51)/5
Factor 3*v**5 - 309*v**4 + 909*v**3 - 903*v**2 + 300*v.
3*v*(v - 100)*(v - 1)**3
Find l, given that -2*l**3 - 3*l**2/2 + l/2 = 0.
-1, 0, 1/4
Suppose -3*z**2 + 2124*z - 375948 = 0. What is z?
354
Factor 3*a**3 - 5004*a**2 + 2782224*a - 515638848.
3*(a - 556)**3
Determine a so that a**2/4 - 41*a/4 - 21/2 = 0.
-1, 42
Determine s so that -s**4 - 3*s**3 + 19*s**2 + 3*s - 18 = 0.
-6, -1, 1, 3
Solve -4*j**5 - 56*j**4 - 200*j**3 - 160*j**2 + 204*j + 216 = 0 for j.
-9, -3, -2, -1, 1
Factor -4232*x**2/15 + 184*x/3 - 10/3.
-2*(46*x - 5)**2/15
Determine f so that -5*f**2/4 - 30*f + 65 = 0.
-26, 2
Factor t**3 + 63*t**2 + 62*t.
t*(t + 1)*(t + 62)
Factor i**2/4 - 1544*i + 2383936.
(i - 3088)**2/4
Factor -3*s**2/8 - 183*s/8 - 45/2.
-3*(s + 1)*(s + 60)/8
Factor -15*t**3 - 5244*t**2 - 457275*t + 183750.
-3*(t + 175)**2*(5*t - 2)
Factor 4*i**3/15 + 86*i**2/15 - 44*i/15.
2*i*(i + 22)*(2*i - 1)/15
Factor 3*n**4/4 - 33*n**3/2 + 57*n**2/4 + 63*n/2.
3*n*(n - 21)*(n - 2)*(n + 1)/4
Solve -14*r**4/9 - 8*r**3/3 + 64*r**2/9 + 32*r/3 - 32/9 = 0 for r.
-2, 2/7, 2
Factor 5*l**5 + 130*l**4 + 700*l**3 - 1960*l**2.
5*l**2*(l - 2)*(l + 14)**2
Find k, given that -2*k**2/9 - 1148*k/9 - 382/3 = 0.
-573, -1
What is d in 5*d**5/3 + 110*d**4/3 + 235*d**3 + 1660*d**2/3 + 1300*d/3 = 0?
-13, -5, -2, 0
Factor -4*g**2/3 - 3316*g/3.
-4*g*(g + 829)/3
Determine t so that 12*t**3 - 63*t**2 + 42*t + 72 = 0.
-3/4, 2, 4
Factor -3*j**4/2 - 6*j**3 - 3*j**2/2 + 9*j.
-3*j*(j - 1)*(j + 2)*(j + 3)/2
Determine p, given that 63*p**5 - 2148*p**4 + 22191*p**3 - 66354*p**2 + 62820*p - 5400 = 0.
2/21, 2, 15
Suppose -2*y**4/9 + 8*y**3/9 - 4*y**2/3 + 8*y/9 - 2/9 = 0. Calculate y.
1
Factor 5*m**4/3 + 16*m**3/3 + m**2.
m**2*(m + 3)*(5*m + 1)/3
Determine n so that 3*n**3/2 + 9*n**2 + 15*n/2 = 0.
-5, -1, 0
Find r, given that -r**5/7 + 8*r**4/7 - 22*r**3/7 + 24*r**2/7 - 9*r/7 = 0.
0, 1, 3
Factor -t**3 - 108*t**2 + 219*t - 110.
-(t - 1)**2*(t + 110)
Factor -v**4 + 3*v**3 + 30*v**2 - 128*v + 96.
-(v - 4)**2*(v - 1)*(v + 6)
Determine w so that -w**3/4 - 157*w**2/4 - 6391*w/4 - 17787/4 = 0.
-77, -3
Factor -12*n**2/7 - 74*n/7 - 12/7.
-2*(n + 6)*(6*n + 1)/7
Find x such that x**2/2 + 12*x + 135/2 = 0.
-15, -9
Suppose k**2/6 + 4*k/3 = 0. What is k?
-8, 0
Determine c so that c**4/7 + 5*c**3/7 - 64*c**2/7 - 320*c/7 = 0.
-8, -5, 0, 8
Let -3*i**3 + 255*i**2 + 786*i + 528 = 0. Calculate i.
-2, -1, 88
Find o, given that -25*o**2 - 60*o - 20 = 0.
-2, -2/5
Solve -r**4/3 - 4*r**3/3 - r**2/3 + 2*r = 0.
-3, -2, 0, 1
Factor 17*n**3/5 + 9*n**2 + 16*n/5 - 12/5.
(n + 1)*(n + 2)*(17*n - 6)/5
Find p such that 5*p**2 - 85*p - 690 = 0.
-6, 23
Suppose 242*w**5/13 + 308*w**4/13 - 320*w**3/13 + 64*w**2/13 = 0. Calculate w.
-2, 0, 4/11
Determine q so that -2*q**3/7 + 1212*q**2/7 - 244824*q/7 + 16484816/7 = 0.
202
Suppose -5*w**5 + 1140*w**4 - 66110*w**3 + 128820*w**2 - 63845*w = 0. What is w?
0, 1, 113
Factor g**4/6 - 20*g**3/3 + 179*g**2/3 + 140*g + 147/2.
(g - 21)**2*(g + 1)**2/6
Let p**5/2 - 2*p**4 - 13*p**3/2 + 2*p**2 + 6*p = 0. Calculate p.
-2, -1, 0, 1, 6
Determine n, given that 4*n**5 - 24*n**4 + 8*n**3 + 192*n**2 - 396*n + 216 = 0.
-3, 1, 2, 3
Factor 5*h**5 + 380*h**4 + 1470*h**3 + 2180*h**2 + 1445*h + 360.
5*(h + 1)**4*(h + 72)
Factor 1764*f**4 - 190848*f**3 + 5180128*f**2 - 981504*f + 46656.
4*(f - 54)**2*(21*f - 2)**2
Suppose -k**4/4 - k**3/4 + 3*k**2/2 = 0. What is k?
-3, 0, 2
Suppose -2*x**4/17 + 22*x**3/17 - 48*x**2/17 - 8*x/17 + 64/17 = 0. Calculate x.
-1, 2, 8
Let 2*j**2/5 + 412*j/5 + 21218/5 = 0. Calculate j.
-103
Find f such that 9*f**5 + 3567*f**4 + 8256*f**3 - 7092*f**2 = 0.
-394, -3, 0, 2/3
Determine a so that -45*a**5/7 + 267*a**4/7 - 579*a**3/7 + 561*a**2/7 - 240*a/7 + 36/7 = 0.
1/3, 3/5, 1, 2
Factor 125*p**3 + 7075*p**2 + 4210*p + 560.
5*(p + 56)*(5*p + 1)*(5*p + 2)
Factor -n**2/3 + 19*n.
-n*(n - 57)/3
Let 5*v**4 - 275*v**3 - 5*v**2 + 275*v = 0. What is v?
-1, 0, 1, 