**4/9 - 2*z**3/9 + 10*z**2/9 - 4*z/9 = 0.
-2, 0, 1/2, 1
Suppose -36*i**2 + 2836*i + 632 = 0. Calculate i.
-2/9, 79
What is l in -3*l**2/2 - 408*l = 0?
-272, 0
Solve -2*s**3 - 60*s**2 - 504*s - 1296 = 0 for s.
-18, -6
Find a such that 4*a**2 - 36*a - 88 = 0.
-2, 11
Factor -x**2/6 + 3*x/2 - 3.
-(x - 6)*(x - 3)/6
Factor y**2/4 - 197*y/2 + 38809/4.
(y - 197)**2/4
Factor -n**4/2 + 5*n**3/2 + 7*n**2 - 18*n - 36.
-(n - 6)*(n - 3)*(n + 2)**2/2
Let g**4 - 5*g**3 + 6*g**2 = 0. What is g?
0, 2, 3
Factor -2*q**2 - 1174*q.
-2*q*(q + 587)
Suppose -3*o**2/7 - 18*o/7 + 561/7 = 0. Calculate o.
-17, 11
Suppose 6*m**5 + 3*m**4 - 21*m**3 - 18*m**2 = 0. What is m?
-3/2, -1, 0, 2
Let -5*d**5 - 15*d**4 - 10*d**3 = 0. What is d?
-2, -1, 0
Suppose -5*y**3 + 15*y**2 + 20*y - 60 = 0. Calculate y.
-2, 2, 3
Factor -2*f**2 - 94*f - 840.
-2*(f + 12)*(f + 35)
Factor -m**3 - 73*m**2 - 212*m - 140.
-(m + 1)*(m + 2)*(m + 70)
Find f, given that f**5 + 215*f**4/7 + 946*f**3/7 - 11628*f**2/7 + 3240*f/7 = 0.
-18, 0, 2/7, 5
Suppose -8*d**5/3 - 26*d**4/3 + 16*d**3 + 62*d**2/3 - 124*d/3 + 16 = 0. What is d?
-4, -2, 3/4, 1
Solve -9*c**2 + 69*c - 90 = 0.
5/3, 6
Factor o**4 + 2*o**3 - 5*o**2 - 6*o.
o*(o - 2)*(o + 1)*(o + 3)
What is o in -25*o**4 - 35*o**3 + 155*o**2 + 75*o - 90 = 0?
-3, -1, 3/5, 2
Factor -9*t**3 - 4605*t**2 + 1536*t.
-3*t*(t + 512)*(3*t - 1)
Factor 64*o**3/9 - 2*o**2/9.
2*o**2*(32*o - 1)/9
Suppose m**2/2 + 13*m/2 = 0. What is m?
-13, 0
Factor 5*t**5 - 5*t**4 - 65*t**3 + 125*t**2 - 60*t.
5*t*(t - 3)*(t - 1)**2*(t + 4)
Find d such that -d**5/5 - 3*d**4/5 - d**3/5 + 3*d**2/5 + 2*d/5 = 0.
-2, -1, 0, 1
Factor 3*m**2/7 - 6*m/7.
3*m*(m - 2)/7
Factor c**5/7 - 22*c**4/7 + 184*c**3/7 - 720*c**2/7 + 1296*c/7 - 864/7.
(c - 6)**3*(c - 2)**2/7
Factor 25*w**3 + 130*w**2 + 125*w + 20.
5*(w + 1)*(w + 4)*(5*w + 1)
Factor 3*t**2 + 3132*t + 817452.
3*(t + 522)**2
Suppose 5*b**5 - 10*b**4 + 5*b**3 = 0. Calculate b.
0, 1
Suppose q**4/6 + 17*q**3/6 + 29*q**2/6 - 17*q/6 - 5 = 0. Calculate q.
-15, -2, -1, 1
Factor -x**5 - 9*x**4 - 26*x**3 - 24*x**2.
-x**2*(x + 2)*(x + 3)*(x + 4)
Factor 4*u**3/3 - 6*u**2 + 14*u/3 + 4.
2*(u - 3)*(u - 2)*(2*u + 1)/3
Solve -27*z**5 + 978*z**4 + 1809*z**3 + 576*z**2 - 228*z = 0 for z.
-1, 0, 2/9, 38
Factor -2*u**3 + 2522*u**2 - 10064*u + 10056.
-2*(u - 1257)*(u - 2)**2
Suppose 3*s**5/8 + 1647*s**4/4 + 223569*s**3/2 - 680619*s**2 + 1367856*s - 914112 = 0. Calculate s.
-552, 2
Solve -f**2/4 - 131*f/4 = 0 for f.
-131, 0
Suppose 16*u**5 - 540*u**4 + 1400*u**3 - 1120*u**2 + 120*u + 124 = 0. Calculate u.
-1/4, 1, 31
Suppose -14*c**2 + 1136*c + 984 = 0. Calculate c.
-6/7, 82
Find t such that t**3/9 + 4*t**2/3 + 20*t/9 = 0.
-10, -2, 0
Find l such that l**3/2 + 25*l**2 + 513*l/2 - 1458 = 0.
-27, 4
Let 5*s**2 + 320*s + 5120 = 0. What is s?
-32
Factor 2*p**2 - 18*p + 28.
2*(p - 7)*(p - 2)
Factor 92*s**3 - 84*s**2 - 192*s - 16.
4*(s - 2)*(s + 1)*(23*s + 2)
Determine n, given that -3*n**2 - 204*n = 0.
-68, 0
Suppose -45*m**5 - 1050*m**4 - 6710*m**3 - 6060*m**2 + 6435*m - 1210 = 0. Calculate m.
-11, -2, 1/3
Suppose 4*c**2 - 372*c + 1424 = 0. Calculate c.
4, 89
Find m such that 30*m**5 + 1115*m**4 + 1235*m**3 - 935*m**2 - 1265*m - 180 = 0.
-36, -1, -1/6, 1
Suppose w**4/3 - 3*w**3 + 4*w**2 + 44*w/3 - 16 = 0. What is w?
-2, 1, 4, 6
What is h in -h**2/4 + 9/4 = 0?
-3, 3
What is f in 42*f**4/5 - 136*f**3/5 + 124*f**2/5 - 8*f/5 - 22/5 = 0?
-1/3, 1, 11/7
What is q in 4*q**3/5 + 6*q**2/5 + 2*q/5 = 0?
-1, -1/2, 0
Factor -2*x**3/21 + 20*x**2/7 - 334*x/21 + 92/7.
-2*(x - 23)*(x - 6)*(x - 1)/21
Determine l so that 2*l**4/7 + 44*l**3/7 - 6*l**2/7 - 136*l/7 - 88/7 = 0.
-22, -1, 2
What is z in -5*z**3 - 15*z**2 + 5*z + 15 = 0?
-3, -1, 1
Factor a**2 - 171*a + 170.
(a - 170)*(a - 1)
Find k, given that 2*k**3/19 + 66*k**2/19 + 118*k/19 - 186/19 = 0.
-31, -3, 1
Factor 2*r**4/7 - 86*r**3/7 + 1056*r**2/7 - 512*r/7 - 40960/7.
2*(r - 16)**3*(r + 5)/7
Solve x**5/2 + 39*x**4/4 + 22*x**3 + 51*x**2/4 = 0.
-17, -3/2, -1, 0
Find a such that -5*a**5/3 + 52*a**4/3 + 15*a**3 - 136*a**2/3 + 44*a/3 = 0.
-2, 0, 2/5, 1, 11
Factor n**3/5 + 4*n**2/5 - 47*n/5 - 42.
(n - 7)*(n + 5)*(n + 6)/5
Suppose 3*d**5/8 + 15*d**4/8 + 21*d**3/8 + 9*d**2/8 = 0. What is d?
-3, -1, 0
Factor -375*s**4/7 + 4950*s**3/7 - 14580*s**2/7 - 39366*s/7 + 177147/7.
-3*(s + 3)*(5*s - 27)**3/7
Suppose -r**4/7 - 55*r**3/7 - 208*r**2/7 - 204*r/7 = 0. What is r?
-51, -2, 0
Factor -b**3/2 + 20*b**2 - 357*b/2 - 441.
-(b - 21)**2*(b + 2)/2
Find x such that x**4 + 646*x**3 + 103680*x**2 - 209952*x = 0.
-324, 0, 2
Factor 18*n**2 - 228*n + 722.
2*(3*n - 19)**2
Factor 3*a**2 + 162*a + 312.
3*(a + 2)*(a + 52)
Find d, given that -3*d**5/5 + 153*d**4/5 - 1536*d**3/5 - 10428*d**2/5 - 18144*d/5 - 9408/5 = 0.
-2, -1, 28
Determine i, given that 28*i**2 + 48*i + 20 = 0.
-1, -5/7
What is x in 3*x**5 + 18*x**4 + 33*x**3 + 18*x**2 = 0?
-3, -2, -1, 0
Factor 18*a**3 + 4908*a**2 + 3266*a + 544.
2*(a + 272)*(3*a + 1)**2
Factor 2*m**2 - 4588*m/5 - 918/5.
2*(m - 459)*(5*m + 1)/5
Determine n so that 3*n**4 + 141*n**3 + 1584*n**2 - 1728*n = 0.
-24, 0, 1
Determine i, given that -2*i**5 - 222*i**4 + 2*i**3 + 222*i**2 = 0.
-111, -1, 0, 1
Factor 5*r**2 + 45*r - 260.
5*(r - 4)*(r + 13)
Factor 6*r**5/5 + 7086*r**4/5 - 2838*r**3 + 7098*r**2/5.
6*r**2*(r - 1)**2*(r + 1183)/5
Factor -2*b**3/13 + 6*b**2/13 + 8*b/13 - 24/13.
-2*(b - 3)*(b - 2)*(b + 2)/13
Factor 2*b**4 + 254*b**3 - 7830*b**2 + 73386*b - 224532.
2*(b - 9)**3*(b + 154)
Find c such that -16*c**5 - 676*c**4 - 8440*c**3 - 27604*c**2 - 29488*c - 5776 = 0.
-19, -2, -1/4
Let -4*q**3 + 124*q - 120 = 0. Calculate q.
-6, 1, 5
Let -y**2/4 + 33*y = 0. Calculate y.
0, 132
Suppose -n**5/2 - 11*n**4/6 - 11*n**3/6 - n**2/6 + n/3 = 0. Calculate n.
-2, -1, 0, 1/3
Factor -o**3/3 + 7*o**2/3 - 5*o + 3.
-(o - 3)**2*(o - 1)/3
Solve -15*z**3/7 + 54*z**2/7 + 855*z/7 + 150 = 0 for z.
-5, -7/5, 10
Let -3*d**5 + 39*d**4 + 93*d**3 - 39*d**2 - 90*d = 0. Calculate d.
-2, -1, 0, 1, 15
Let v**4/5 + v**3 + 4*v**2/5 = 0. Calculate v.
-4, -1, 0
Factor -15*m**4 + 5165*m**3 - 1720*m**2.
-5*m**2*(m - 344)*(3*m - 1)
Let -4*c**5 - 12*c**4 - 12*c**3 - 4*c**2 = 0. Calculate c.
-1, 0
Factor -l**4/4 + 6*l**3 - 135*l**2/4 - 125*l + 1125.
-(l - 10)**2*(l - 9)*(l + 5)/4
Let -7*w**3/2 - 2*w**2/3 + 7*w/2 + 2/3 = 0. Calculate w.
-1, -4/21, 1
Factor h**4/2 + 4*h**3 + 15*h**2/2 - 4*h - 8.
(h - 1)*(h + 1)*(h + 4)**2/2
Determine o so that -2*o**3/11 + 22*o**2 + 490*o/11 + 246/11 = 0.
-1, 123
Determine j so that -j**3 + 34*j**2 + 232*j + 320 = 0.
-4, -2, 40
Let -2*h**5/7 - 44*h**4/7 - 80*h**3/7 + 4*h**2/7 + 82*h/7 + 40/7 = 0. What is h?
-20, -1, 1
Let g**2 + 10*g + 24 = 0. What is g?
-6, -4
Find s such that 39*s**3/2 + 27*s**2/2 - 591*s + 180 = 0.
-6, 4/13, 5
Solve -10*m**5/19 - 284*m**4/19 - 102*m**3/19 + 284*m**2/19 + 112*m/19 = 0 for m.
-28, -1, -2/5, 0, 1
Determine f so that -4*f**4/7 - 3104*f**3/7 - 6192*f**2/7 = 0.
-774, -2, 0
Find c such that -3*c**4/7 + 15*c**3/7 - 60*c/7 + 48/7 = 0.
-2, 1, 2, 4
Factor b**3 - 118*b**2 - 361*b - 242.
(b - 121)*(b + 1)*(b + 2)
Suppose 2*n**3/3 + 14*n**2/3 = 0. What is n?
-7, 0
Factor 2*c**5 + 38*c**4 + 158*c**3 + 266*c**2 + 200*c + 56.
2*(c + 1)**3*(c + 2)*(c + 14)
What is d in 2*d**4/5 + 54*d**3/5 - 118*d**2/5 - 54*d/5 + 116/5 = 0?
-29, -1, 1, 2
Determine m so that -2*m**5/17 + 62*m**4/17 + 202*m**3/17 + 74*m**2/17 - 200*m/17 - 8 = 0.
-2, -1, 1, 34
Factor 185*q**4 - 1660*q**3 + 3285*q**2 + 90*q.
5*q*(q - 6)*(q - 3)*(37*q + 1)
Factor 3*q**3 - 291*q**2 + 8880*q - 81600.
3*(q - 40)**2*(q - 17)
Find j, given that -5*j**3 - 15*j**2 + 225*j + 875 = 0.
-5, 7
Let 128*d**3/5 - 1248*d**2 + 20280*d - 109850 = 0. What is d?
65/4
Find w such that 3*w**5 + 1728*w**4 + 250554*w**3 + 495936*w**2 + 247107*w = 0.
-287, -1, 0
Factor -6*v**2 - 236*v - 78.
-2*(v + 39)*(3*v + 1)
Suppose 2*m**5/11 + 204*m**4/11 - 840*m**3/11 + 848*m**2/11 = 0. Calculate m.
-106, 0, 2
Determine m so that -4*m**5 + 36*m**4 - 32*m**3 - 240*m**2 = 0.
-2, 0, 5, 6
What is p in p**3/2 + 3*p**2/2 - 2*p = 0?
-4, 0, 1
Solve 2*q**2/13 - 238*q/13 - 732/13 = 0 for q.
-3, 122
Factor -2*f**5 + 710*f**4/7 + 204*f**3/7.
-2*f**3*(f - 51)*(7*f + 2)/7
Solve -16*s**4 - 334*s**3 - 1542*s**2 + 2134*s - 242 = 0 for s.
-11, 1/8, 1
Factor -r**2/4 - 417*r/2 - 173889/4.
-(r + 417)**2/4
Let 3*v**2 - 