 1)/8
Solve b**5 - 227*b**4/4 - 69*b**3/4 + 673*b**2/4 + 625*b/4 + 57/2 = 0 for b.
-1, -1/4, 2, 57
Let -25*p**4 + 90385*p**3 - 108938025*p**2 + 43785813875*p - 17496901250 = 0. Calculate p.
2/5, 1205
Suppose g**2/7 - 13*g + 430/7 = 0. What is g?
5, 86
Suppose -108*b**3/5 - 669*b**2/5 - 786*b/5 + 48 = 0. Calculate b.
-40/9, -2, 1/4
Factor -6*t**3 - 3*t**2 + 24*t + 12.
-3*(t - 2)*(t + 2)*(2*t + 1)
What is r in -14*r**5/5 - 74*r**4/5 - 132*r**3/5 - 88*r**2/5 - 16*r/5 = 0?
-2, -1, -2/7, 0
Factor -4*g**2 - 308*g + 960.
-4*(g - 3)*(g + 80)
Suppose 35*g**3 + 430*g**2 + 505*g + 110 = 0. What is g?
-11, -1, -2/7
Factor -2*y**3/9 - 232*y**2/9 - 122*y + 148.
-2*(y - 1)*(y + 6)*(y + 111)/9
Factor 2*d**4 - 16*d**3 + 36*d**2 - 32*d + 10.
2*(d - 5)*(d - 1)**3
Factor s**4/3 + 103*s**3/3 + 831*s**2 - 8215*s/3 + 5618/3.
(s - 2)*(s - 1)*(s + 53)**2/3
Let 12*o**5/7 + 51*o**4/7 - 24*o**3 - 261*o**2/7 - 54*o/7 = 0. Calculate o.
-6, -1, -1/4, 0, 3
Factor p**3 - 110*p**2/3 + 59*p - 70/3.
(p - 35)*(p - 1)*(3*p - 2)/3
Factor -2*x**5/3 + 452*x**4/3 - 34640*x**3/3 + 943648*x**2/3 - 3373216*x/3 + 3241792/3.
-2*(x - 74)**3*(x - 2)**2/3
Solve 10*t**5/3 + 22*t**4/3 - 26*t**3/3 - 2*t**2 = 0 for t.
-3, -1/5, 0, 1
Solve -5*h**4/2 - 13*h**3/2 - h**2/2 + 13*h/2 + 3 = 0 for h.
-2, -1, -3/5, 1
Factor -3*o**3 - 24*o**2 - 60*o - 48.
-3*(o + 2)**2*(o + 4)
Solve -4*p**2 - 104*p + 108 = 0 for p.
-27, 1
Suppose -c**3/9 + 8*c**2/9 - 17*c/9 + 10/9 = 0. Calculate c.
1, 2, 5
Factor -2*h**2 - 54*h - 100.
-2*(h + 2)*(h + 25)
Find t, given that -3*t**4 - 39*t**3 - 99*t**2 + 231*t + 294 = 0.
-7, -1, 2
Find k such that -20*k**5 + 15*k**4 + 20*k**3 - 15*k**2 = 0.
-1, 0, 3/4, 1
Factor 2*z**5 + 2*z**4 - 24*z**3 + 8*z**2 + 32*z.
2*z*(z - 2)**2*(z + 1)*(z + 4)
Factor -y**3 + 203*y**2 - 196*y - 1212.
-(y - 202)*(y - 3)*(y + 2)
Factor -5*p**4 - 25*p**3 + 30*p**2.
-5*p**2*(p - 1)*(p + 6)
Solve -2*k**3/9 + 266*k**2/9 - 3430*k/9 + 11662/9 = 0 for k.
7, 119
Solve 4*m**4/3 - 20*m**3/3 + 8*m**2/3 + 32*m/3 = 0 for m.
-1, 0, 2, 4
Factor -2*s**3/13 + 22*s**2/13 + 18*s/13 - 198/13.
-2*(s - 11)*(s - 3)*(s + 3)/13
Suppose v**5 - 2*v**4 - 11*v**3 + 12*v**2 = 0. What is v?
-3, 0, 1, 4
Factor -50*f**3/11 + 3220*f**2/11 - 48472*f/11 - 110224/11.
-2*(f + 2)*(5*f - 166)**2/11
Let 2*v**2 + 116*v + 1682 = 0. What is v?
-29
Factor -3*x**2 - 54*x + 120.
-3*(x - 2)*(x + 20)
Factor 3*c**5 - 1863*c**4 + 292014*c**3 - 864894*c**2 + 861183*c - 286443.
3*(c - 309)**2*(c - 1)**3
Factor -30*g**2 + 157*g/9 + 1/3.
-(5*g - 3)*(54*g + 1)/9
Let 3*w**3 - 18*w**2 + 9*w + 30 = 0. What is w?
-1, 2, 5
Factor 4*f**4 - 1528*f**3 + 144388*f**2 + 293376*f + 147456.
4*(f - 192)**2*(f + 1)**2
Find j, given that 2*j**2 + 144*j + 2592 = 0.
-36
Factor -2*h**3/3 - 3238*h**2 - 6474*h - 9710/3.
-2*(h + 1)**2*(h + 4855)/3
Factor -r**4/2 + 24*r**3 - 477*r**2/2 + 835*r - 900.
-(r - 36)*(r - 5)**2*(r - 2)/2
Let -7*j**4/9 - 151*j**3/9 + 577*j**2/9 - 569*j/9 + 50/3 = 0. Calculate j.
-25, 3/7, 1, 2
Let 4*g**2 + 3974*g + 5952 = 0. Calculate g.
-992, -3/2
Suppose 2*o**3/3 + 202*o**2/3 - 1052*o/3 + 848/3 = 0. Calculate o.
-106, 1, 4
Factor q**5/4 + 31*q**4/4 + 66*q**3 + 171*q**2.
q**2*(q + 6)**2*(q + 19)/4
Determine k so that -2*k**2 + 92*k = 0.
0, 46
Factor 2*s**4 - 4*s**3 - 16*s**2.
2*s**2*(s - 4)*(s + 2)
Factor -2*l**2 - 12*l - 16.
-2*(l + 2)*(l + 4)
Let -4*i**2 + 784*i - 38416 = 0. Calculate i.
98
Find j such that -2*j**4 - 52*j**3 - 360*j**2 - 972*j - 918 = 0.
-17, -3
Factor 6*y**2 - 50*y + 16.
2*(y - 8)*(3*y - 1)
Determine v, given that -5*v**5 + 45*v**4 - 25*v**3 - 125*v**2 + 30*v + 80 = 0.
-1, 1, 2, 8
Let -h**4 + 11*h**3 + 276*h**2 = 0. What is h?
-12, 0, 23
Determine z, given that z**3/5 + 6*z**2 - 171*z/5 + 28 = 0.
-35, 1, 4
Factor -17*l**3/6 - 35*l**2/3 + 77*l/6 + 5/3.
-(l - 1)*(l + 5)*(17*l + 2)/6
Factor -3*j**2 - 117*j.
-3*j*(j + 39)
Determine l, given that 28*l**3 - 820*l**2 - 608*l + 240 = 0.
-1, 2/7, 30
Let -2*r**4/17 - 6*r**3/17 + 58*r**2/17 + 6*r/17 - 56/17 = 0. Calculate r.
-7, -1, 1, 4
Factor x**3/9 - 461*x**2 + 637563*x - 293916543.
(x - 1383)**3/9
Suppose -25*n**5/4 - 1605*n**4/4 + 663*n**3/2 + 839*n**2/2 - 789*n/4 - 585/4 = 0. Calculate n.
-65, -3/5, 1
Factor -4*j**2 + 8528*j - 4545424.
-4*(j - 1066)**2
What is b in 3*b**2 + 1032*b + 88752 = 0?
-172
Factor 5*x**4 - 325*x**3 + 5410*x**2 - 3200*x - 30720.
5*(x - 32)**2*(x - 3)*(x + 2)
Factor 3268*m**2 + 6528*m - 16.
4*(m + 2)*(817*m - 2)
What is v in -4*v**2/7 + 15*v/7 + 4/7 = 0?
-1/4, 4
Find v, given that 3*v**5/5 + 6*v**4 - 339*v**3/5 + 306*v**2/5 = 0.
-17, 0, 1, 6
Suppose -75*z**2 - 455*z - 30 = 0. What is z?
-6, -1/15
Determine x, given that 9*x**4 - 15*x**3 + 6*x**2 = 0.
0, 2/3, 1
Suppose -c**3/3 - 20*c**2/3 - 12*c = 0. Calculate c.
-18, -2, 0
Let -3*n**2 + 60*n + 63 = 0. What is n?
-1, 21
Factor -3*u**5 - 3*u**4.
-3*u**4*(u + 1)
Factor 2*k**3 + 46*k**2 + 308*k + 624.
2*(k + 4)*(k + 6)*(k + 13)
Factor 2*a**3/7 + 50*a**2/7 + 92*a/7.
2*a*(a + 2)*(a + 23)/7
Factor -d**5/6 + 25*d**4/6 + 58*d**3/3.
-d**3*(d - 29)*(d + 4)/6
Suppose -4*f**5 + 4*f**4 + 12*f**3 - 4*f**2 - 8*f = 0. Calculate f.
-1, 0, 1, 2
Let -2*d**4 - 50*d**3/9 - 8*d**2/3 + 8*d/9 = 0. What is d?
-2, -1, 0, 2/9
Factor -2*l**2 + 4*l/5.
-2*l*(5*l - 2)/5
Factor 3*f**5 + 21*f**4 - 51*f**3 - 249*f**2 - 276*f - 96.
3*(f - 4)*(f + 1)**3*(f + 8)
Factor 5*d**3/2 - 105*d**2 + 195*d/2 + 205.
5*(d - 41)*(d - 2)*(d + 1)/2
Factor -3*a**2/5 + 1644*a/5 - 225228/5.
-3*(a - 274)**2/5
Factor 58*i**2/19 - 54*i/19 - 4/19.
2*(i - 1)*(29*i + 2)/19
Factor -2668*m**2 + 48*m + 16.
-4*(23*m - 2)*(29*m + 2)
Let -2*p**5 - 418*p**4 - 21628*p**3 + 22468*p**2 + 21630*p - 22050 = 0. Calculate p.
-105, -1, 1
Let -4*q**2 + 24*q + 64 = 0. Calculate q.
-2, 8
Factor 3*c**5/8 + 45*c**4/2 + 177*c**3/8.
3*c**3*(c + 1)*(c + 59)/8
Factor s**3/7 + 73*s**2/7 + 72*s/7.
s*(s + 1)*(s + 72)/7
Factor -c**3 - 99*c**2.
-c**2*(c + 99)
Solve 6*s**3/5 - 4*s**2/5 - 542*s/5 - 36 = 0 for s.
-9, -1/3, 10
Suppose 3*d**4/4 + 27*d**3/4 + 45*d**2/4 + 21*d/4 = 0. What is d?
-7, -1, 0
Suppose -c**3/10 + 61*c**2/5 + 123*c/10 = 0. What is c?
-1, 0, 123
Find i, given that 6*i**4/11 - 576*i**3/11 - 582*i**2/11 = 0.
-1, 0, 97
Factor 3*b**2/5 - 114*b/5 + 111/5.
3*(b - 37)*(b - 1)/5
Let -3*q**3/5 - 135*q**2 - 10125*q - 253125 = 0. What is q?
-75
Determine r so that -2*r**4 - 406*r**3/5 - 626*r**2/5 - 74*r/5 + 156/5 = 0.
-39, -1, 2/5
Suppose -4*t**3 + 28*t**2 - 28*t - 60 = 0. Calculate t.
-1, 3, 5
Factor z**2/6 - 101*z/3 + 10201/6.
(z - 101)**2/6
Factor -2*l**3/3 + 152*l**2/3 - 430*l/3 - 584/3.
-2*(l - 73)*(l - 4)*(l + 1)/3
Factor -i**3/2 - 196*i**2 - 778*i - 776.
-(i + 2)**2*(i + 388)/2
Let 4*a**3 + 76*a**2 - 704*a + 624 = 0. Calculate a.
-26, 1, 6
Factor -3*s**2/5 - 702*s/5 - 2079/5.
-3*(s + 3)*(s + 231)/5
Determine k so that -2*k**4 + 76*k**2 + 144*k + 70 = 0.
-5, -1, 7
Find w such that -2*w**4/17 - 236*w**3/17 + 966*w**2/17 - 1216*w/17 + 488/17 = 0.
-122, 1, 2
Determine a so that -20*a**3 + 31565*a**2 - 7890*a = 0.
0, 1/4, 1578
Factor -2*c**2 - 728*c - 66248.
-2*(c + 182)**2
Factor 2*r**3 - 104*r**2.
2*r**2*(r - 52)
Determine l so that 121*l**2/5 + 1122*l/5 + 2601/5 = 0.
-51/11
Find a, given that 26*a**2 + 70*a + 44 = 0.
-22/13, -1
Factor -2*t**2/3 + 1216*t/3 - 184832/3.
-2*(t - 304)**2/3
Find o, given that 85*o**5 - 5870*o**4 - 5605*o**3 + 350*o**2 = 0.
-1, 0, 1/17, 70
Suppose -3*t**3/5 - 186*t**2/5 - 837*t/5 + 1026/5 = 0. Calculate t.
-57, -6, 1
Determine m, given that -4*m**2 + 976*m = 0.
0, 244
Factor -3*s**4 + 210*s**3 - 408*s**2.
-3*s**2*(s - 68)*(s - 2)
Factor -4*q**5/3 - 2680*q**4/3 + 21632*q**3/3 - 14464*q**2.
-4*q**2*(q - 4)**2*(q + 678)/3
Find h such that 2*h**3/9 - 410*h**2/9 + 404*h/9 + 272/3 = 0.
-1, 2, 204
Determine h, given that -15*h**3 + 25*h**2 + 130*h + 40 = 0.
-2, -1/3, 4
Factor 5*j**3 - 35*j**2 + 20*j + 60.
5*(j - 6)*(j - 2)*(j + 1)
Factor 3*i**3 + 12*i**2 - 273*i - 1470.
3*(i - 10)*(i + 7)**2
Suppose -3*u**4 + 18*u**3 + 21*u**2 = 0. What is u?
-1, 0, 7
Find m, given that -3*m**2 + 111*m - 558 = 0.
6, 31
Solve p**5/2 - p**4 - 16*p**3 - 13*p**2 + 31*p/2 + 14 = 0 for p.
-4, -1, 1, 7
Determine m, given that 2*m**3/13 - 128*m**2/13 = 0.
0, 64
Factor 2*j**5 + 2*j**4 - 10*j**3 + 6*j**2.
2*j**2*(j - 1)**2*(j + 3)
Determine d so that 2*d**3/13 + 14*d**2/13 + 20*d/13 = 0.
-5, -2, 