)**4
Solve 12*p**5 + 57*p**4 - 399*p**3 + 528*p**2 - 108*p = 0.
-9, 0, 1/4, 2
Let -4*n**3/7 - 136*n**2/7 - 752*n/7 + 2080/7 = 0. What is n?
-26, -10, 2
Suppose -4*q**4 + 60*q**3 - 264*q**2 + 320*q = 0. Calculate q.
0, 2, 5, 8
Factor 28*i**5 - 292*i**4 + 792*i**3 + 608*i**2 - 3968*i + 1536.
4*(i - 4)**3*(i + 2)*(7*i - 3)
Solve -4*q**4 + 32*q**3 - 52*q**2 + 24*q = 0 for q.
0, 1, 6
Find s, given that 3*s**5/8 + 15*s**4/4 - 69*s**3/8 + 9*s**2/2 = 0.
-12, 0, 1
Solve 2*p**2/3 - 22*p + 280/3 = 0 for p.
5, 28
Factor -2*j**2 - 12*j - 10.
-2*(j + 1)*(j + 5)
Let -2*x**4 + 258*x**3 + 260*x**2 = 0. Calculate x.
-1, 0, 130
Factor 68*g**3 - 132*g**2 - 8*g.
4*g*(g - 2)*(17*g + 1)
Factor -o**4 + 79*o**3 - 1253*o**2 - 12427*o - 11094.
-(o - 43)**2*(o + 1)*(o + 6)
Suppose -195*w**4/8 + 4089*w**3/8 - 19179*w**2/8 - 24189*w/8 - 363/4 = 0. What is w?
-1, -2/65, 11
Factor -k**2 - 122*k - 121.
-(k + 1)*(k + 121)
Determine k so that -k**5/8 - 3*k**4/4 + k**3/4 + 3*k**2/2 - k/8 - 3/4 = 0.
-6, -1, 1
Solve -a**3/2 + 48*a**2 + 315*a/2 - 891 = 0.
-6, 3, 99
Factor 5*p**3 + 755*p**2 + 750*p.
5*p*(p + 1)*(p + 150)
Factor -6*r**4/11 - 12*r**3/11 - 6*r**2/11.
-6*r**2*(r + 1)**2/11
Factor -3*h**2/4 - 69*h/4 - 33/2.
-3*(h + 1)*(h + 22)/4
Factor -3*y**4 - 21*y**3 - 15*y**2 + 21*y + 18.
-3*(y - 1)*(y + 1)**2*(y + 6)
Factor 6*h**3/11 - 288*h**2/11 + 558*h/11 - 276/11.
6*(h - 46)*(h - 1)**2/11
What is s in 8*s**3/3 - 340*s**2/3 + 372*s - 312 = 0?
3/2, 2, 39
Factor q**3/4 + 513*q**2/4 + 510*q + 509.
(q + 2)**2*(q + 509)/4
Let -3*a**4 + 72*a**3 + 111*a**2 - 900*a = 0. Calculate a.
-4, 0, 3, 25
Factor -x**4/7 + 11*x**3/7 + 16*x**2/7 - 320*x/7.
-x*(x - 8)**2*(x + 5)/7
Factor 567*p**4 + 369*p**3 - 6*p**2.
3*p**2*(3*p + 2)*(63*p - 1)
Factor -5*c**3 + 17*c**2 + 37*c + 15.
-(c - 5)*(c + 1)*(5*c + 3)
Suppose 2*t**3 - 12*t**2 + 16*t = 0. Calculate t.
0, 2, 4
Determine t so that 5*t**4 - 25*t**3 - 25*t**2 + 225*t - 180 = 0.
-3, 1, 3, 4
Suppose 18*f**4 - 33*f**3 - 159*f**2 - 147*f - 39 = 0. What is f?
-1, -1/2, 13/3
What is l in -54*l**4/11 + 8424*l**3/11 - 16704*l**2/11 + 11104*l/11 - 224 = 0?
2/3, 154
Factor 5*z**5 - 885*z**4 + 52215*z**3 - 1026895*z**2.
5*z**2*(z - 59)**3
Factor 3*f**4/7 + 18*f**3/7 + 36*f**2/7 + 24*f/7.
3*f*(f + 2)**3/7
Let a**3 + 108*a**2 + 3120*a + 10816 = 0. What is a?
-52, -4
Solve -45*b**4 + 114*b**3 + 84*b**2 - 66*b + 9 = 0.
-1, 1/5, 1/3, 3
Solve 12*d**4 + 452*d**3 + 728*d**2 + 288*d = 0 for d.
-36, -1, -2/3, 0
Factor -3*d**4 - 20*d**3 - 29*d**2 + 12*d.
-d*(d + 3)*(d + 4)*(3*d - 1)
Solve 4*b**3 + 1236*b**2 + 127308*b + 4370908 = 0 for b.
-103
Factor z**2/6 - 37*z/2 + 1012/3.
(z - 88)*(z - 23)/6
Solve w**2 + 37*w - 210 = 0 for w.
-42, 5
Factor -5*d**3 - 330*d**2.
-5*d**2*(d + 66)
Solve x**3 - 28*x**2 = 0 for x.
0, 28
Solve 2*j**2 - 22*j - 52 = 0.
-2, 13
Solve -2*i**3/9 - 32*i**2/9 - 170*i/9 - 100/3 = 0.
-6, -5
Factor 2*a**4/7 - 4*a**3.
2*a**3*(a - 14)/7
Factor n**4 - 16*n**3 + 13*n**2 + 30*n.
n*(n - 15)*(n - 2)*(n + 1)
Factor c**3 + 7*c**2 - 56*c + 48.
(c - 4)*(c - 1)*(c + 12)
Factor -3*d**4 - 27*d**3 - 63*d**2 - 57*d - 18.
-3*(d + 1)**3*(d + 6)
Factor -u**2 - 85*u/4 - 25.
-(u + 20)*(4*u + 5)/4
Find q, given that -4*q**4/7 - 120*q**3/7 - 1152*q**2/7 - 3456*q/7 = 0.
-12, -6, 0
Solve s**2/2 - 5*s + 25/2 = 0.
5
Solve 2*r**2/9 - 716*r/9 + 64082/9 = 0 for r.
179
Let 4*j**4 + 8*j**3 - 12*j**2 - 16*j + 16 = 0. Calculate j.
-2, 1
Determine b so that -b**2/3 - 92*b/3 + 31 = 0.
-93, 1
Determine j, given that 4*j**3 + 356*j**2 + 700*j + 348 = 0.
-87, -1
Suppose 14*h**4 - 62*h**3 + 120*h**2/7 + 184*h/7 + 32/7 = 0. What is h?
-2/7, 1, 4
Suppose t**3 - 9*t**2 - 10*t = 0. What is t?
-1, 0, 10
Factor -j**2/6 - 358*j/3 - 64082/3.
-(j + 358)**2/6
Suppose -5*w**5 + 195*w**4 - 1775*w**3 - 3015*w**2 + 10600*w - 6000 = 0. What is w?
-3, 1, 20
Let n**5/3 - 6*n**4 + 26*n**3 + 56*n**2/3 - 93*n + 54 = 0. What is n?
-2, 1, 9
Find x such that 5*x**4 - 115*x**3 + 315*x**2 - 305*x + 100 = 0.
1, 20
Factor l**2/6 + 21*l/2 + 30.
(l + 3)*(l + 60)/6
Suppose 12*w**5 + 304*w**4 + 664*w**3 + 464*w**2 + 92*w = 0. What is w?
-23, -1, -1/3, 0
Factor -6*s**2/7 + 294*s - 2052/7.
-6*(s - 342)*(s - 1)/7
Factor -2*r**2 - 9*r/2.
-r*(4*r + 9)/2
Let 2*s**4/3 + 2*s**3 - 16*s**2/3 - 8*s + 32/3 = 0. What is s?
-4, -2, 1, 2
Find l, given that -4*l**5 + 20*l**4 - 12*l**3 - 20*l**2 + 16*l = 0.
-1, 0, 1, 4
Factor 2*y**4/3 + 104*y**3 - 314*y**2/3.
2*y**2*(y - 1)*(y + 157)/3
What is h in 5*h**5 - 15*h**4 + 10*h**3 = 0?
0, 1, 2
Determine j so that -12*j**4/7 - 3*j**3/7 + 264*j**2/7 - 195*j/7 - 450/7 = 0.
-5, -1, 2, 15/4
Suppose 2*l**3/9 - 8*l**2/9 + 10*l/9 - 4/9 = 0. What is l?
1, 2
Find i such that 4*i**3/9 + 184*i**2/3 - 556*i/9 = 0.
-139, 0, 1
Suppose 2*o**4 - 392*o**3 - 3224*o**2 - 8128*o - 6528 = 0. Calculate o.
-4, -2, 204
Determine v, given that -10*v**5/3 - 22*v**4 - 24*v**3 + 40*v**2/3 = 0.
-5, -2, 0, 2/5
Factor v**3/5 - 17*v**2/5 - 316*v/5 - 928/5.
(v - 29)*(v + 4)*(v + 8)/5
What is q in -50*q**5 + 100*q**4 + 58*q**3 - 116*q**2 - 8*q + 16 = 0?
-1, -2/5, 2/5, 1, 2
Factor 5*c**2/3 + 80*c/3 + 25.
5*(c + 1)*(c + 15)/3
Find z such that -7*z**2/9 - 338*z/9 - 32/3 = 0.
-48, -2/7
Factor 2*d**3/15 + 36*d**2/5 - 122*d/15 - 44.
2*(d - 3)*(d + 2)*(d + 55)/15
Factor 2*n**2/11 - 22*n - 244/11.
2*(n - 122)*(n + 1)/11
Factor -4*n**4 - 712*n**3 - 32388*n**2 - 62656*n - 30976.
-4*(n + 1)**2*(n + 88)**2
Suppose -50*x**3/3 + 104*x**2/3 - 8*x/3 = 0. What is x?
0, 2/25, 2
Factor -r**2/4 + 5*r/2 + 6.
-(r - 12)*(r + 2)/4
Find k, given that 2*k**2/11 + 26*k/11 - 96/11 = 0.
-16, 3
Factor -3*m**3/5 - 18*m**2/5 - 33*m/5 - 18/5.
-3*(m + 1)*(m + 2)*(m + 3)/5
Solve s**5 + 3*s**4 - 2*s**3 - 6*s**2 + s + 3 = 0.
-3, -1, 1
Determine r, given that -4*r**3 - 196*r**2 + 408*r = 0.
-51, 0, 2
Suppose -z**2 - 223*z = 0. Calculate z.
-223, 0
Factor 5*p**4 - 15*p**3 - 20*p**2 + 60*p.
5*p*(p - 3)*(p - 2)*(p + 2)
Suppose -4*u**5/3 - 4*u**4/3 + 20*u**3/3 - 4*u**2 = 0. Calculate u.
-3, 0, 1
Factor j**2/4 - 27*j/4 + 18.
(j - 24)*(j - 3)/4
Let -3*y**2 + 216*y + 444 = 0. Calculate y.
-2, 74
Factor t**4/2 + 7*t**3/2 + 9*t**2 + 10*t + 4.
(t + 1)*(t + 2)**3/2
Let -5*p**4/6 + 19*p**3/3 + 91*p**2/6 - 40*p - 18 = 0. Calculate p.
-3, -2/5, 2, 9
Let 3*g**2/8 - 423*g/8 = 0. Calculate g.
0, 141
Factor -4*t**3 - 36*t**2 - 44*t + 84.
-4*(t - 1)*(t + 3)*(t + 7)
Let 4*v**3/7 + 20*v**2/7 + 12*v/7 - 36/7 = 0. Calculate v.
-3, 1
Factor 2*q**3/13 + 68*q**2/13 + 186*q/13.
2*q*(q + 3)*(q + 31)/13
Factor 2*h**3 + 62*h**2 + 528*h + 1080.
2*(h + 3)*(h + 10)*(h + 18)
Factor -u**3/3 + 35*u**2/3 + u/3 - 35/3.
-(u - 35)*(u - 1)*(u + 1)/3
Determine i, given that i**5 + 10*i**4 + 33*i**3 + 40*i**2 + 16*i = 0.
-4, -1, 0
Find x, given that -x**2/8 + 265*x - 140450 = 0.
1060
Solve 2*g**2/3 - 32*g/3 + 56/3 = 0.
2, 14
Suppose -2*x**5/19 - 8*x**4/19 + 2*x**3/19 + 8*x**2/19 = 0. What is x?
-4, -1, 0, 1
Factor t**2/7 - 240*t/7 + 14400/7.
(t - 120)**2/7
Let -6*d**4 + 44*d**3 - 94*d**2 + 24*d + 72 = 0. Calculate d.
-2/3, 2, 3
What is l in -55*l**4 + 215*l**3 + 75*l**2 - 215*l - 20 = 0?
-1, -1/11, 1, 4
Factor -2*d**3 + 10*d**2 - 12*d.
-2*d*(d - 3)*(d - 2)
Let -11*d**2 + 244*d - 44 = 0. What is d?
2/11, 22
Solve 117*z**5 - 700*z**4 + 456*z**3 + 710*z**2 - 573*z - 10 = 0.
-1, -2/117, 1, 5
Factor 4*g**2/7 + 124*g/7 + 520/7.
4*(g + 5)*(g + 26)/7
Factor 2*n**3/7 - 170*n**2/7 - 2*n/7 + 170/7.
2*(n - 85)*(n - 1)*(n + 1)/7
Solve -3*m**4 - 24*m**3 - 36*m**2 = 0.
-6, -2, 0
Factor 2*k**5/13 - 62*k**4/13 + 174*k**3/13 - 170*k**2/13 + 56*k/13.
2*k*(k - 28)*(k - 1)**3/13
Factor z**2 - 55*z - 114.
(z - 57)*(z + 2)
Determine b so that 5*b**3 - 90*b**2 - 2645*b - 2550 = 0.
-15, -1, 34
Factor 5*v**3 - 30*v**2 + 45*v.
5*v*(v - 3)**2
Let -4*v**5 + 136*v**4/3 - 440*v**3/3 + 192*v**2 - 316*v/3 + 56/3 = 0. What is v?
1/3, 1, 2, 7
Find t, given that 2*t**2 - 17296*t + 37393952 = 0.
4324
Determine i, given that -13*i**5 - 81*i**4/2 - 35*i**3/2 + 75*i**2/2 + 61*i/2 + 3 = 0.
-2, -1, -3/26, 1
Find y, given that -910*y**5 - 435*y**4/2 + 1160*y**3 - 15*y**2/2 - 25*y = 0.
-5/4, -1/7, 0, 2/13, 1
Find w, given that -2*w**2/3 - 22*w/9 - 20/9 = 0.
-2, -5/3
What is b in -2*b**4/7 - 880*b**3/7 - 132912*b**2/7 - 7420352*b/7 - 11453152 = 0?
-142, -14
Factor -w**3/2 + 2065*w**2/2 + 4133*w/2 + 2067/2.
-(w - 2067)*(w + 1)**2/2
Factor 14*v**2/