0, 17
Find c such that 3*c**2/2 - 9*c + 27/2 = 0.
3
Suppose 5*x**3 - 35*x**2 + 30*x = 0. Calculate x.
0, 1, 6
Suppose -4*v**5/7 + 16*v**4/7 + 72*v**3/7 + 80*v**2/7 + 4*v = 0. What is v?
-1, 0, 7
Factor 5*d**2/4 + 385*d/4 + 365.
5*(d + 4)*(d + 73)/4
Factor -6*u**3 + 94*u**2/3 + 412*u/3 - 32.
-2*(u - 8)*(u + 3)*(9*u - 2)/3
Suppose -2*y**2 + 4*y + 30 = 0. Calculate y.
-3, 5
Solve -2*n**4/15 - 34*n**3/15 + 6*n**2/5 + 342*n/5 - 144 = 0 for n.
-15, -8, 3
Let -y**2/6 + 33*y/2 - 97/3 = 0. Calculate y.
2, 97
Factor -w**2/5 + 84*w/5 - 1088/5.
-(w - 68)*(w - 16)/5
What is i in -4*i**2/3 + 4032*i - 3048192 = 0?
1512
Let -5*p**5 - 40*p**4 - 55*p**3 + 40*p**2 + 60*p = 0. What is p?
-6, -2, -1, 0, 1
Let -2*o**5/7 - 4*o**4/7 + 4*o**3/7 + 8*o**2/7 - 2*o/7 - 4/7 = 0. Calculate o.
-2, -1, 1
Suppose 5*k**3 + 145*k**2 + 975*k - 1125 = 0. What is k?
-15, 1
Solve 3*c**2 - 450*c - 453 = 0 for c.
-1, 151
Factor 2*p**4/3 - 8*p**2/3.
2*p**2*(p - 2)*(p + 2)/3
Factor -2*x**3 - 44*x**2.
-2*x**2*(x + 22)
Determine x, given that -9*x**3 + 237*x**2/2 - 687*x/2 + 54 = 0.
1/6, 4, 9
Determine w so that 15*w**5/8 + 69*w**4/8 - 15*w**3 + 9*w**2/2 = 0.
-6, 0, 2/5, 1
Factor -2*k**3/5 - 52*k**2/5 - 182*k/5 - 132/5.
-2*(k + 1)*(k + 3)*(k + 22)/5
Factor -16*v**2/11 + 290*v/11 - 36/11.
-2*(v - 18)*(8*v - 1)/11
Let 3*v**3/5 + 14*v**2/5 + 4*v + 8/5 = 0. What is v?
-2, -2/3
Factor -g**3/3 + 91*g**2/9 + 998*g/9 + 208/3.
-(g - 39)*(g + 8)*(3*g + 2)/9
Let -3*q**5 - 15*q**4 - 12*q**3 = 0. What is q?
-4, -1, 0
Let -2*l**5 + 10*l**4 + 26*l**3 + 14*l**2 = 0. What is l?
-1, 0, 7
Factor f**4/11 + 8*f**3/11 - 3*f**2/11 - 26*f/11 - 16/11.
(f - 2)*(f + 1)**2*(f + 8)/11
Factor -4*o**5/5 + 892*o**4/5 + 896*o**3/5.
-4*o**3*(o - 224)*(o + 1)/5
What is m in m**2 - 95*m - 96 = 0?
-1, 96
Factor -3*v**2/5 + 93*v - 462/5.
-3*(v - 154)*(v - 1)/5
Find x such that -5*x**3 + 140*x**2 + 20*x - 560 = 0.
-2, 2, 28
Factor -n**2 + 29*n - 78.
-(n - 26)*(n - 3)
Factor 4*z**3/5 + 24*z**2/5 - 76*z/5 - 336/5.
4*(z - 4)*(z + 3)*(z + 7)/5
Factor -k**3/3 - 145*k**2/3 - 428*k/3 - 284/3.
-(k + 1)*(k + 2)*(k + 142)/3
Factor -60*u**2 - 59*u + 1.
-(u + 1)*(60*u - 1)
Solve 3*b**3 + 30*b**2 + 87*b + 60 = 0 for b.
-5, -4, -1
Suppose -242*m**4 - 264*m**3 + 170*m**2 + 264*m + 72 = 0. Calculate m.
-1, -6/11, 1
Let -r**5/4 + 7*r**4/4 + 7*r**3/2 - 11*r**2 - 10*r + 16 = 0. What is r?
-2, 1, 2, 8
Find a such that -a**4/2 + 4*a**3 - 3*a**2 - 20*a - 25/2 = 0.
-1, 5
Let 2*c**3/7 + 242*c**2/7 - 992*c/7 + 1000/7 = 0. What is c?
-125, 2
Suppose -i**4 + 12*i**3 - 13*i**2 - 66*i - 40 = 0. Calculate i.
-1, 4, 10
Let 57963*s**2/4 + 1251*s/2 + 27/4 = 0. What is s?
-3/139
Factor 6*w**4/17 - 16*w**3/17 + 8*w**2/17.
2*w**2*(w - 2)*(3*w - 2)/17
Factor p**2/7 - 72*p/7 + 1296/7.
(p - 36)**2/7
Find t such that 2*t**2 - 42*t - 1080 = 0.
-15, 36
Find a, given that 81*a**5/8 + 729*a**4/2 - 27*a**3/4 - 246*a**2 - 867*a/8 - 27/2 = 0.
-36, -1/3, 1
Suppose 2*k**3/7 + 332*k**2/7 + 330*k/7 = 0. What is k?
-165, -1, 0
Factor t**5 - 20*t**4 + 96*t**3 - 176*t**2 + 112*t.
t*(t - 14)*(t - 2)**3
Solve -5*h**2 - 115*h + 120 = 0.
-24, 1
Factor 6*i**2 + 975*i/2.
3*i*(4*i + 325)/2
Find o, given that 5*o**4 - 255*o**3 + 720*o**2 = 0.
0, 3, 48
Suppose -b**2/5 + 2*b/5 + 3 = 0. Calculate b.
-3, 5
Solve -5*z**5/3 - 73*z**4/3 - 134*z**3 - 1016*z**2/3 - 1120*z/3 - 128 = 0 for z.
-4, -2, -3/5
Determine i so that i**4/5 - 23*i**3/5 - 24*i**2/5 = 0.
-1, 0, 24
Suppose -6*q**4/7 + 54*q**3/7 - 90*q**2/7 - 150*q/7 = 0. What is q?
-1, 0, 5
Let 5*q**2 + 4085*q - 4090 = 0. What is q?
-818, 1
Factor 4*o**4/5 + 616*o**3/5 + 2420*o**2 + 63888*o/5.
4*o*(o + 11)**2*(o + 132)/5
Solve b**4/2 + 5*b**3/2 - 3*b**2/2 - 17*b/2 - 5 = 0.
-5, -1, 2
Find o such that 30*o**5 - 159*o**4/2 - 108*o**3 + 543*o**2/2 - 132*o + 18 = 0.
-2, 1/4, 2/5, 1, 3
Determine g, given that 2*g**3 + 34*g**2 - 540*g = 0.
-27, 0, 10
Solve -2*q**5 + 54*q**4 - 340*q**3 = 0.
0, 10, 17
Suppose -2*c**5/3 - 3*c**4 - 7*c**3/3 + 2*c**2 = 0. Calculate c.
-3, -2, 0, 1/2
What is t in 10*t**5 - 205*t**4 + 485*t**3 + 5785*t**2 + 7425*t + 2340 = 0?
-3, -1, -1/2, 12, 13
Find j, given that 15*j**2 + 5034*j - 2016 = 0.
-336, 2/5
Solve -74*s**5/15 + 52*s**4/5 - 6*s**3 + 8*s**2/15 = 0.
0, 4/37, 1
What is k in -k**5/5 - 11*k**4/5 - 33*k**3/5 - 13*k**2/5 + 34*k/5 + 24/5 = 0?
-6, -4, -1, 1
Factor -245*v**4 - 53200*v**3 - 60560*v**2 - 17280*v.
-5*v*(v + 216)*(7*v + 4)**2
Factor -9*t**2/4 + 60*t + 384.
-3*(t - 32)*(3*t + 16)/4
Factor 2*i**3 - 42*i**2 + 78*i - 38.
2*(i - 19)*(i - 1)**2
Factor -5*i**4 - 65*i**3 + 45*i**2 + 2025*i.
-5*i*(i - 5)*(i + 9)**2
Factor -3*a**3/7 - 936*a**2/7 - 5532*a/7 - 7344/7.
-3*(a + 2)*(a + 4)*(a + 306)/7
Factor -4*f**3 + 136*f**2 - 708*f + 1008.
-4*(f - 28)*(f - 3)**2
Find d such that -5*d**4 + 2260*d**3 - 253110*d**2 - 513020*d - 257645 = 0.
-1, 227
Solve -5*s**4 - 55*s**3 + 5*s**2 + 55*s = 0.
-11, -1, 0, 1
Solve d**4 - 49*d**3/4 - 25*d**2 + 7*d = 0.
-2, 0, 1/4, 14
Factor -4*s**2 + 3296*s - 678976.
-4*(s - 412)**2
Solve -3*j**4/8 + 2073*j**3/4 + 1038*j**2 = 0 for j.
-2, 0, 1384
Factor 15*t**3/4 - 691*t**2/2 + 7981*t - 1058.
(t - 46)**2*(15*t - 2)/4
Factor 5*m**5 + 25*m**4 - 70*m**3 + 10*m**2 + 65*m - 35.
5*(m - 1)**3*(m + 1)*(m + 7)
Find u such that -4*u**4/17 + 66*u**3/17 - 330*u**2/17 + 406*u/17 + 294/17 = 0.
-1/2, 3, 7
Factor c**5/5 - 257*c**4/5 + 22186*c**3/5 - 131546*c**2 + 249985*c - 122825.
(c - 85)**3*(c - 1)**2/5
Factor 2*c**4 + 218*c**3 - 1356*c**2 + 2744*c - 1840.
2*(c - 2)**3*(c + 115)
Factor 9*h**3 - 6060*h**2 + 1018077*h + 681414.
3*(h - 337)**2*(3*h + 2)
Suppose 3*i**5/4 - 171*i**3/4 - 147*i**2 - 135*i = 0. What is i?
-5, -2, 0, 9
Suppose -42*u**5 - 219*u**4 + 1746*u**3 + 2523*u**2 - 2748*u + 540 = 0. Calculate u.
-9, -2, 2/7, 1/2, 5
Factor a**5/5 + 4*a**4/5 - 12*a**3/5 - 32*a**2/5 + 64*a/5.
a*(a - 2)**2*(a + 4)**2/5
Solve -3*h**2/2 - 645*h - 1287/2 = 0.
-429, -1
Factor 2*r**4 - 288*r**3 + 5552*r**2 + 346752*r + 2899232.
2*(r - 86)**2*(r + 14)**2
Factor -m**2 - 14*m - 48.
-(m + 6)*(m + 8)
Factor -3*f**4 + 6*f**3 + 21*f**2 - 60*f + 36.
-3*(f - 2)**2*(f - 1)*(f + 3)
Suppose -7*r**5 + 725*r**4 + 2306*r**3/7 - 12748*r**2/7 + 6248*r/7 - 832/7 = 0. What is r?
-2, 2/7, 1, 104
Factor -2*t**2/5 + 122*t/5 - 24.
-2*(t - 60)*(t - 1)/5
Suppose 5*d**3/4 + 10*d**2 - 55*d + 60 = 0. What is d?
-12, 2
Suppose 74*c**5 - 374*c**4 - 1534*c**3 - 1618*c**2 - 500*c + 32 = 0. Calculate c.
-1, 2/37, 8
Factor -5*j**2 - 120*j + 1280.
-5*(j - 8)*(j + 32)
Solve 3*v**4/4 - 9*v**3 + 69*v**2/4 + 27*v = 0 for v.
-1, 0, 4, 9
Factor 3*u**2/8 - 51*u/4 + 867/8.
3*(u - 17)**2/8
Factor 2*h**3/5 - 242*h**2/5 + 712*h/5 - 472/5.
2*(h - 118)*(h - 2)*(h - 1)/5
Factor 3*f**2 - 174*f - 177.
3*(f - 59)*(f + 1)
Factor 3*r**5 + 174*r**4 + 1818*r**3 + 7776*r**2 + 15147*r + 11178.
3*(r + 3)**4*(r + 46)
Factor -2*i**4 + 48*i**3 - 330*i**2 + 484*i.
-2*i*(i - 11)**2*(i - 2)
Find i, given that -4*i**4 + 1664*i**3 - 173056*i**2 = 0.
0, 208
Factor 8*p**3 + 94*p**2 + 256*p - 70.
2*(p + 5)*(p + 7)*(4*p - 1)
Factor -12*t**4/5 + 434*t**3/5 - 2316*t**2/5 + 888*t - 2896/5.
-2*(t - 2)**3*(6*t - 181)/5
Solve c**5 - 5*c**4 - 5*c**3 + 45*c**2 - 108 = 0 for c.
-2, 3
Determine u so that u**5/3 - 2*u**4 - 4*u**3 + 38*u**2/3 - 7*u = 0.
-3, 0, 1, 7
Let r**2 - 5*r - 6 = 0. Calculate r.
-1, 6
Determine j so that -16*j**5/3 - 1636*j**4/9 - 5764*j**3/9 + 21848*j**2/3 - 55424*j/9 + 9856/9 = 0.
-28, -11, 1/4, 2/3, 4
Find v such that 2*v**2/9 - 5756*v/9 - 5758/9 = 0.
-1, 2879
Factor -2*m**4/3 + 2*m**3/3.
-2*m**3*(m - 1)/3
Factor 2*y**2/5 + 4*y + 10.
2*(y + 5)**2/5
Factor -k**4/3 - 22*k**3/9 - 29*k**2/9 + 10*k/3.
-k*(k + 3)*(k + 5)*(3*k - 2)/9
Factor k**4/4 + 117*k**3/4 - 90*k**2 + k + 120.
(k - 2)**2*(k + 1)*(k + 120)/4
Factor -5*i**5 - 195*i**4 + 2025*i**3 - 6345*i**2 + 6480*i.
-5*i*(i - 3)**3*(i + 48)
Factor 2*f**4/13 + 22*f**3 + 13536*f**2/13 + 207360*f/13 - 221184/13.
2*(f - 1)*(f + 48)**3/13
What is o in -3*o**3 + 3642*o**2 - 7275*o + 3636 = 0?
1, 1212
Factor 4*c**4 + 16*c**3 - 44*c**2 - 120*c.
4*c*(c - 3)*(c + 2)*(c + 5)
Factor 2*w**3 + 16*w**2 + 14*w.
2*w*(w + 1)*(w + 7)
Factor f**4/4 - f**3 - 15*f**2/4 + 9*f/2.
f*(f - 6)*(f - 1)*(f + 3)/4
Find z such that -3*z**2/2 + 15*z - 63/2 = 0.
3, 7
Solve 5*z**4/4 - 8*z**3 + 37*z**2/4 + 25*z/2 - 6 = 0.
-1, 2/5, 3, 4
Suppose -3*l**4 - 147*