*3/5
Factor -2*r**4/5 + 2*r**3 - 16*r**2/5 + 8*r/5.
-2*r*(r - 2)**2*(r - 1)/5
Suppose -4*g**4/9 - 18992*g**3/9 - 11271752*g**2/3 - 26759139248*g/9 - 7940774571844/9 = 0. What is g?
-1187
What is t in -t**4 - t**3 = 0?
-1, 0
Find o, given that 392*o**4/3 + 56*o**3 + 6*o**2 = 0.
-3/14, 0
Suppose -3*i**2 - 1443*i - 1440 = 0. What is i?
-480, -1
Let i**5/2 + 33*i**4/2 - 35*i**3 + i**2 + 69*i/2 - 35/2 = 0. Calculate i.
-35, -1, 1
What is u in 2*u**2/5 + 24*u/5 - 1728/5 = 0?
-36, 24
What is k in -3*k**2 - 198*k - 3267 = 0?
-33
Let i**5/2 - 3*i**4/2 - 25*i**3/2 - 25*i**2/2 + 12*i + 14 = 0. What is i?
-2, -1, 1, 7
Determine r, given that -4*r**5 + 64*r**3 + 152*r**2 + 132*r + 40 = 0.
-2, -1, 5
Factor 2*n**3/13 + 2*n**2/13 - 24*n/13.
2*n*(n - 3)*(n + 4)/13
Suppose -2*b**2/5 - 404*b/5 - 20402/5 = 0. Calculate b.
-101
Let -5*j**3 + 25*j**2 + 40*j - 60 = 0. What is j?
-2, 1, 6
Suppose -6*b**3 + 80*b**2 - 142*b - 132 = 0. What is b?
-2/3, 3, 11
Factor 2*d**2 - 706*d - 708.
2*(d - 354)*(d + 1)
Determine a, given that 4*a**3/9 - 80*a**2/9 + 148*a/9 - 8 = 0.
1, 18
Factor -27*b**3 - 138*b**2 + 140*b - 24.
-(b + 6)*(3*b - 2)*(9*b - 2)
Factor -8*y**2 + 36*y/5 + 4/5.
-4*(y - 1)*(10*y + 1)/5
Factor 3*h**2 + 2964*h + 732108.
3*(h + 494)**2
Let 4*f**5 - 12*f**4 - 72*f**3 = 0. Calculate f.
-3, 0, 6
Factor -5*r**2 + 75*r - 70.
-5*(r - 14)*(r - 1)
Factor 4*c**3 - 124*c**2 - 2704*c - 2576.
4*(c - 46)*(c + 1)*(c + 14)
Factor i**5 + 2*i**4 - 2*i**3 - 4*i**2 + i + 2.
(i - 1)**2*(i + 1)**2*(i + 2)
Suppose -5*o**3/12 + o**2 + 33*o/4 + 9/2 = 0. Calculate o.
-3, -3/5, 6
Let -n**3 + 10*n**2 + 107*n + 204 = 0. Calculate n.
-4, -3, 17
Factor 4*b**3 + 48*b**2 + 180*b + 216.
4*(b + 3)**2*(b + 6)
Determine v, given that 9*v**2/7 + 59*v/7 + 10 = 0.
-5, -14/9
Factor -y**3 + 11*y**2 - 10*y - 72.
-(y - 9)*(y - 4)*(y + 2)
Factor 12*p**3/7 + 639*p**2/7 + 159*p/7.
3*p*(p + 53)*(4*p + 1)/7
Factor -b**4 + 100*b**3 - 1573*b**2 + 2754*b.
-b*(b - 81)*(b - 17)*(b - 2)
Factor 2*x**2/9 + 32*x/9 + 10/3.
2*(x + 1)*(x + 15)/9
Factor 3*y**4/5 - 27*y**3/5 - 234*y**2/5 - 516*y/5 - 72.
3*(y - 15)*(y + 2)**3/5
Let -z**3 + 726*z**2 - 175692*z + 14172488 = 0. Calculate z.
242
Factor -5*y**5/6 + 5*y**4/2 - 10*y**2/3.
-5*y**2*(y - 2)**2*(y + 1)/6
Let w**3/9 + 549*w**2 + 904203*w + 496407447 = 0. What is w?
-1647
Find w such that 2*w**5/5 + 2*w**4 + 2*w**3/5 - 26*w**2/5 - 4*w/5 + 16/5 = 0.
-4, -2, -1, 1
Factor 2*u**4/9 + 28*u**3/9 + 46*u**2/9 - 220*u/9.
2*u*(u - 2)*(u + 5)*(u + 11)/9
Let 9*c**2 - 4125*c + 1374 = 0. Calculate c.
1/3, 458
Let -3*v**4/2 - 57*v**3/2 - 99*v**2/2 + 57*v/2 + 51 = 0. What is v?
-17, -2, -1, 1
Find p, given that 48*p**4/7 - 20*p**3/7 - 22*p**2 + 146*p/7 - 20/7 = 0.
-2, 1/6, 1, 5/4
Factor -2*x**2/3 - 14*x/3 - 20/3.
-2*(x + 2)*(x + 5)/3
Let -6*k**4 + 176*k**3/3 - 536*k**2/3 + 448*k/3 + 128/3 = 0. What is k?
-2/9, 2, 4
Factor f**4/2 + 31*f**3/6 + 109*f**2/6 + 47*f/2 + 6.
(f + 3)**2*(f + 4)*(3*f + 1)/6
Factor 5*c**3 - 830*c**2 + 1640*c.
5*c*(c - 164)*(c - 2)
Solve -o**2/4 + 5*o/2 + 231/4 = 0.
-11, 21
Suppose 3*l**2 - 570*l + 27075 = 0. Calculate l.
95
Determine y so that -4*y**3/7 - 128*y**2/7 + 132*y/7 = 0.
-33, 0, 1
Factor 2*m**2/5 + 146*m/5 - 2848/5.
2*(m - 16)*(m + 89)/5
Factor -d**2/3 - 70*d/3 + 71/3.
-(d - 1)*(d + 71)/3
Factor -84*v**3 - 64*v**2 + 36*v + 16.
-4*(v + 1)*(3*v + 1)*(7*v - 4)
Let 5*w**4 - 40*w**3 - 45*w**2 + 540*w + 540 = 0. Calculate w.
-3, -1, 6
Factor -5*b**4 + 10*b**2 - 5.
-5*(b - 1)**2*(b + 1)**2
Solve -3*o**3 - 138*o**2 + 615*o + 750 = 0 for o.
-50, -1, 5
Factor -l**2 - 18*l - 80.
-(l + 8)*(l + 10)
Factor 4*n**3 + 4460*n**2 + 8908*n + 4452.
4*(n + 1)**2*(n + 1113)
Determine b so that -2*b**2/7 - 2*b/7 + 40/7 = 0.
-5, 4
Solve -s**2/5 + 116*s/5 - 3364/5 = 0.
58
What is h in h**4/4 + 25*h**3/4 + 141*h**2/4 - 221*h/4 - 169/2 = 0?
-13, -1, 2
Factor 3*g**3/5 - 26973*g**2/5 + 60615072*g/5 + 60642048/5.
3*(g - 4496)**2*(g + 1)/5
Factor -n**3/7 + 94*n**2/7 - 2945*n/7 + 30752/7.
-(n - 32)*(n - 31)**2/7
Suppose 5*t**4 - 35*t**3 + 55*t**2 + 35*t - 60 = 0. Calculate t.
-1, 1, 3, 4
Find n such that -180625*n**2/3 - 1700*n/3 - 4/3 = 0.
-2/425
Find h such that -h**3/3 + 7*h**2/3 - 5*h + 3 = 0.
1, 3
Factor 324*z**4 + 1548*z**3 + 2632*z**2 + 1920*z + 512.
4*(z + 1)*(z + 2)*(9*z + 8)**2
What is p in p**3/4 + 2*p**2 + 11*p/4 - 5 = 0?
-5, -4, 1
Find y such that -4*y**2 - 12376*y - 9572836 = 0.
-1547
What is b in -129*b**5/2 + 1164*b**4 - 7020*b**3 + 15675*b**2 - 20391*b/2 + 441 = 0?
2/43, 1, 3, 7
Find x, given that -10*x**2 - 12*x + 288 = 0.
-6, 24/5
Determine k, given that -2*k**3/9 - 86*k**2/9 - 416*k/9 + 1352 = 0.
-26, 9
Let -2*l**3 - 72*l**2 - 130*l + 204 = 0. What is l?
-34, -3, 1
Suppose -m**4/2 - 7*m**3/2 - 11*m**2/2 + 7*m/2 + 6 = 0. What is m?
-4, -3, -1, 1
Solve 2*m**5/13 + 106*m**4/13 + 206*m**3/13 + 102*m**2/13 = 0 for m.
-51, -1, 0
Suppose 2*k**3/7 - 50*k**2/7 + 58*k - 154 = 0. Calculate k.
7, 11
Let 8*f**2 - 52*f + 24 = 0. What is f?
1/2, 6
Solve 32*y**5 + 196*y**4 - 44*y**3 - 412*y**2 + 12*y + 216 = 0 for y.
-6, -9/8, -1, 1
Let 4*d**2 + 1136*d + 80656 = 0. Calculate d.
-142
Let -3*c**4 - 15*c**3 + 126*c**2 - 228*c + 120 = 0. Calculate c.
-10, 1, 2
Let b**4/4 + 31*b**3 - 515*b**2/4 - 183*b/2 + 576 = 0. Calculate b.
-128, -2, 3
Factor -2*u**4/5 + 2*u**3/5 + 8*u**2/5 - 8*u/5.
-2*u*(u - 2)*(u - 1)*(u + 2)/5
Find u, given that 3*u**4/2 - 601*u**3/2 - 2877*u**2/2 + 1425*u/2 + 1025 = 0.
-5, -2/3, 1, 205
Determine f, given that -2*f**4/7 - 24*f**3/7 - 76*f**2/7 - 24*f/7 + 18 = 0.
-7, -3, 1
Let -50*i**5/7 - 28*i**4 - 134*i**3/7 + 12*i**2/7 = 0. Calculate i.
-3, -1, 0, 2/25
Solve 3*x**4/8 + 27*x**3 + 729*x**2 + 8748*x + 39366 = 0.
-18
Suppose 2*o**5 + 48*o**4 + 46*o**3 = 0. What is o?
-23, -1, 0
Solve -z**3/2 - 167*z**2/2 = 0.
-167, 0
What is l in -3*l**4/8 + 21*l**2/8 + 9*l/4 = 0?
-2, -1, 0, 3
Factor -3*c**3/5 - 252*c**2/5.
-3*c**2*(c + 84)/5
Solve -49*l**2 + 1008*l - 5184 = 0.
72/7
Solve 40*p**3 + 186*p**2 - 616*p + 294 = 0.
-7, 3/5, 7/4
Factor -k**4/4 - 1173*k**3/2 - 1368873*k**2/4 + 2069172*k - 3111696.
-(k - 3)**2*(k + 1176)**2/4
Factor v**5 + v**4 - 16*v**3 + 20*v**2.
v**2*(v - 2)**2*(v + 5)
Factor 3*l**3 - 1404*l**2 - 3*l + 1404.
3*(l - 468)*(l - 1)*(l + 1)
Let m**3/3 - 2*m**2 + 4*m - 8/3 = 0. What is m?
2
What is m in 2*m**5/9 - 32*m**4/3 + 1528*m**3/9 - 7808*m**2/9 - 2048*m/3 + 32768/9 = 0?
-2, 2, 16
Factor -5*h**3 + 15*h + 10.
-5*(h - 2)*(h + 1)**2
What is c in 6*c**4/7 - 18*c**3/7 - 18*c**2/7 + 6*c + 36/7 = 0?
-1, 2, 3
Determine c, given that -8*c**4/7 - 94*c**3/7 - 208*c**2/7 - 86*c/7 + 36/7 = 0.
-9, -2, -1, 1/4
Find v such that -v**5 - 2*v**4 + 8*v**3 + 18*v**2 + 9*v = 0.
-3, -1, 0, 3
Find t, given that 12*t**5 + 1072*t**4 + 5444*t**3 + 5728*t**2 + 1344*t = 0.
-84, -4, -1, -1/3, 0
Suppose 4*m**2 + 32*m - 132 = 0. What is m?
-11, 3
Suppose 5*p**3/4 - 55*p**2/2 + 655*p/4 - 275/2 = 0. Calculate p.
1, 10, 11
Factor -6*j**4/11 + 168*j**3/11 - 1764*j**2/11 + 8232*j/11 - 14406/11.
-6*(j - 7)**4/11
Let -5*k**2 + 520*k - 13520 = 0. Calculate k.
52
Solve 2*d**2 - 996*d + 994 = 0.
1, 497
Let 4*t**5/7 - 16*t**4/7 - 44*t**3/7 - 24*t**2/7 = 0. Calculate t.
-1, 0, 6
Determine h, given that 2*h**2/3 - 110*h/3 - 112/3 = 0.
-1, 56
Determine m, given that -5*m**5 + 25*m**4 + 30*m**3 = 0.
-1, 0, 6
Factor 2*j**4/13 - 6*j**3/13 + 8*j/13.
2*j*(j - 2)**2*(j + 1)/13
Find j such that -3*j**4/4 - 39*j**3/4 + 261*j**2/4 - 189*j/4 - 243/2 = 0.
-18, -1, 3
Find m such that -25*m**4/3 + 80*m**3 - 125*m**2/3 - 30*m = 0.
-2/5, 0, 1, 9
Factor -9*h**3/5 + 143*h**2/5 - 112*h - 64/5.
-(h - 8)**2*(9*h + 1)/5
Solve -5*i**5 + 70*i**4 + 1135*i**3 - 18140*i**2 + 32620*i - 15680 = 0.
-16, 1, 14
Factor 28*d**5 + 43*d**4/5 + 2*d**3/5.
d**3*(4*d + 1)*(35*d + 2)/5
What is g in 2*g**5/9 - 4*g**4/9 + 2*g**3/9 = 0?
0, 1
Factor -3*s**2/4 + 51*s/4 - 63/2.
-3*(s - 14)*(s - 3)/4
Solve 2*k**5/3 - 148*k**4/3 + 3974*k**3/3 - 45452*k**2/3 + 190696*k/3 - 149072/3 = 0.
1, 7, 22
Factor -o**4/4 + 8*o**3 - 191*o**2/2 + 504*o - 3969/4.
-(o - 9)**2*(o - 7)**2/4
Factor 2*h**2 - 50.
2*(h - 5)*(h + 5)
Suppose -2*h**4/3 + 20*h**3/3 - 8*h**2/3 - 28*h - 18 = 0. Calculate h.
-1, 3, 9
Factor 3*t**3/2 - 1809*t**2/2 + 363609*t/2 - 24361803/2.
3*(t - 201)**3/2
Factor 5*n**4/3 + 10*n**3/3 - 15*n**2 - 30*n.
5*n*(n - 3)*(n + 2)*(n + 3)/3
Fact