u**3 - 125*u**2/3 + 65*u + 300.
5*(u - 5)*(u - 4)*(u + 3)**2/3
Determine x so that x**4/5 + 286*x**3/5 + 57*x**2 = 0.
-285, -1, 0
Suppose 60*b**5 - 136*b**4 - 184*b**3 + 112*b**2 + 124*b + 24 = 0. What is b?
-1, -2/5, -1/3, 1, 3
Factor 3*p**2 - 1578*p + 207507.
3*(p - 263)**2
Let w**3/3 - 4*w**2 + 12*w = 0. Calculate w.
0, 6
Let f**3/8 - 35*f**2/8 + 403*f/8 - 1521/8 = 0. What is f?
9, 13
What is r in 3*r**4/2 + 5*r**3/2 - r**2 = 0?
-2, 0, 1/3
Determine t so that -80*t**5 - 280*t**4 + 235*t**3 + 260*t**2 - 155*t + 20 = 0.
-4, -1, 1/4, 1
Factor k**3/3 - 162*k**2 + 26244*k - 1417176.
(k - 162)**3/3
Suppose -a**5/7 + 5*a**4/7 + 46*a**3/7 - 152*a**2/7 - 192*a/7 = 0. Calculate a.
-6, -1, 0, 4, 8
Let -2*c**4 - 2*c**3 + 28*c**2 + 48*c = 0. Calculate c.
-3, -2, 0, 4
Determine r, given that -2*r**4/5 - 12*r**3/5 + 2*r**2/5 + 12*r/5 = 0.
-6, -1, 0, 1
Suppose -8*r**3/5 + 16*r**2 + 86*r/5 + 22/5 = 0. What is r?
-1/2, 11
Suppose -5*s**4 + 3020*s**3 - 606000*s**2 + 39987920*s + 82424080 = 0. Calculate s.
-2, 202
Find n, given that n**2 - 40*n + 375 = 0.
15, 25
Factor a**3/6 - 4*a**2 + 39*a/2 - 27.
(a - 18)*(a - 3)**2/6
Factor 3*o**3 + 54*o**2 + 324*o + 648.
3*(o + 6)**3
What is v in -250*v**3 - 2700*v**2 - 8505*v/2 - 3645/2 = 0?
-9, -9/10
Let -4*c**2 + 5448*c = 0. What is c?
0, 1362
Determine j, given that 2*j**4 - 78*j**3 - 246*j**2 - 250*j - 84 = 0.
-1, 42
Let -21*b**2 + 60*b + 96 = 0. Calculate b.
-8/7, 4
Factor -z**3 - 9*z**2 - 24*z - 16.
-(z + 1)*(z + 4)**2
Suppose 2*a**5/7 - 18*a**4/7 + 4*a**3 + 68*a**2/7 - 30*a/7 - 50/7 = 0. What is a?
-1, 1, 5
What is r in -4*r**5 + 38*r**4 + 4*r**3 - 680*r**2 + 816*r + 576 = 0?
-4, -1/2, 2, 6
Find r such that 2*r**2/7 - 34*r/7 - 36/7 = 0.
-1, 18
Factor 2*x**5/11 - 248*x**4/11 + 6080*x**3/11 + 98048*x**2/11 + 426496*x/11 + 591872/11.
2*(x - 68)**2*(x + 4)**3/11
Factor 2*q**3/5 + 252*q**2/5 + 1536*q - 16384/5.
2*(q - 2)*(q + 64)**2/5
Factor 5*z**2 - 35*z - 300.
5*(z - 12)*(z + 5)
Factor -5*f**2 - 4180*f - 873620.
-5*(f + 418)**2
Factor 2*b**2 + 4*b/7.
2*b*(7*b + 2)/7
Determine t, given that t**2 - 18*t - 19 = 0.
-1, 19
Factor 2*g**3/5 + 904*g**2/5 + 3592*g/5 + 3584/5.
2*(g + 2)**2*(g + 448)/5
Find b such that 2*b**2/3 - 428*b/3 + 1230 = 0.
9, 205
Suppose 2*o**4/5 + 16*o**3/5 + 36*o**2/5 + 32*o/5 + 2 = 0. What is o?
-5, -1
What is k in -2*k**5/5 + 3*k**4/10 + 13*k**3/10 - k**2/10 - 9*k/10 - 1/5 = 0?
-1, -1/4, 1, 2
Find q, given that q**5/4 + 3*q**4 + 11*q**3/4 = 0.
-11, -1, 0
Solve -3*x**3/2 - 15*x**2/2 - 9*x = 0 for x.
-3, -2, 0
Factor -m**3 + 92*m**2 - 91*m.
-m*(m - 91)*(m - 1)
Find f, given that 2*f**2 - 298*f = 0.
0, 149
Find b, given that 4*b**5 - 28*b**3 - 8*b**2 + 48*b + 32 = 0.
-2, -1, 2
Find r such that 2*r**2/15 - 4*r/15 + 2/15 = 0.
1
Factor y**2/10 + 193*y/10 + 57.
(y + 3)*(y + 190)/10
Determine w so that 5*w**4 + 25*w**3 - 425*w**2 - 25*w + 420 = 0.
-12, -1, 1, 7
Find d such that -2*d**5/11 - 14*d**4/11 - 8*d**3/11 + 24*d**2/11 = 0.
-6, -2, 0, 1
Solve 537*s**2 + 543*s + 6 = 0.
-1, -2/179
Factor 2*x**3/15 - 12*x**2 + 178*x/15.
2*x*(x - 89)*(x - 1)/15
Factor -65*z**3 - 250*z**2 + 40*z.
-5*z*(z + 4)*(13*z - 2)
Solve 10*c**5/3 + 34*c**4/9 - 206*c**3/9 - 418*c**2/9 - 232*c/9 - 8/3 = 0 for c.
-2, -1, -2/15, 3
Determine h, given that -h**2/12 - 47*h/12 - 43/3 = 0.
-43, -4
Suppose -5*d**4 + 560*d**3 - 1645*d**2 + 1090*d = 0. What is d?
0, 1, 2, 109
Factor -3*x**2/4 - 5127*x/2 - 8762043/4.
-3*(x + 1709)**2/4
Determine r so that -9*r**5 - 115*r**4 - 478*r**3 - 608*r**2 + 160*r = 0.
-5, -4, 0, 2/9
Determine g, given that -g**5 + 4*g**4 + 3*g**3 - 22*g**2 + 4*g + 24 = 0.
-2, -1, 2, 3
Find r, given that 4*r**3 - 772*r**2 + 36860*r + 37636 = 0.
-1, 97
Find w, given that w**3 - 20*w**2 - 43*w - 22 = 0.
-1, 22
Let 2*t**5/5 + 2*t**4 + 6*t**3/5 - 26*t**2/5 - 16*t/5 + 24/5 = 0. Calculate t.
-3, -2, 1
Find m such that 2*m**4/7 - 484*m**3/7 + 29762*m**2/7 - 58080*m/7 + 28800/7 = 0.
1, 120
Factor b**3/2 + 27*b**2/2 + 48*b + 46.
(b + 2)**2*(b + 23)/2
Find r, given that 22*r**3/13 - 96*r**2/13 + 98*r/13 - 24/13 = 0.
4/11, 1, 3
Factor 3*d**2 - 558*d + 555.
3*(d - 185)*(d - 1)
Find f such that 2*f**4/11 - 2*f**3/11 - 60*f**2/11 = 0.
-5, 0, 6
Factor v**2 - 186*v + 8649.
(v - 93)**2
Suppose z**4 + 71*z**3 + 578*z**2 + 1252*z + 744 = 0. What is z?
-62, -6, -2, -1
Factor -i**2 - 3*i + 10.
-(i - 2)*(i + 5)
Factor 5*h**3 + 210*h**2 - 440*h.
5*h*(h - 2)*(h + 44)
Determine w, given that 3*w**2/8 + 1941*w/8 + 1449/2 = 0.
-644, -3
Factor d**3 - 357*d**2 + 711*d - 355.
(d - 355)*(d - 1)**2
What is a in a**2/2 + 765*a + 585225/2 = 0?
-765
Find h, given that -6*h**3 + 1094*h**2 - 2508*h - 2160 = 0.
-2/3, 3, 180
Suppose -7*b**3/2 + 2682*b**2 - 6114*b + 1528 = 0. Calculate b.
2/7, 2, 764
Determine z so that 4*z**4/5 - 72*z**3/5 - 12*z**2/5 + 224*z/5 - 144/5 = 0.
-2, 1, 18
Determine a, given that -12*a**5/7 - 25*a**4/7 + 59*a**3/7 + 79*a**2/7 + a/7 - 6/7 = 0.
-3, -1, -1/3, 1/4, 2
Factor 2*g**2 - 528*g + 34848.
2*(g - 132)**2
Determine o, given that -2*o**2 + 392*o - 776 = 0.
2, 194
Factor 5*h**4 + 14*h**3 - 3*h**2 - 20*h + 4.
(h - 1)*(h + 2)**2*(5*h - 1)
Solve 3*s**2/7 - 3*s - 180/7 = 0 for s.
-5, 12
Factor 9*k**5 - 48*k**4 + 52*k**3 - 16*k**2.
k**2*(k - 4)*(3*k - 2)**2
Factor 169*q**3/7 - 508*q**2/7 + 3*q/7.
q*(q - 3)*(169*q - 1)/7
Factor 3*i**5/2 - 3*i**3/2.
3*i**3*(i - 1)*(i + 1)/2
Factor 4*u**3 + 604*u**2/7 + 1332*u/7 - 684/7.
4*(u + 3)*(u + 19)*(7*u - 3)/7
Solve -20*u**4 + 44*u**3 - 24*u**2 = 0.
0, 1, 6/5
Factor 8*w**3 + 580*w**2 - 1512*w - 900.
4*(w - 3)*(w + 75)*(2*w + 1)
Let 5*c**3 + 315*c**2 + 4080*c - 28900 = 0. Calculate c.
-34, 5
Factor n**4/5 - 6*n**3/5 - 31*n**2/5 + 84*n/5 + 288/5.
(n - 8)*(n - 4)*(n + 3)**2/5
Factor 5*u**3 - 115*u**2 + 715*u - 605.
5*(u - 11)**2*(u - 1)
Find w such that -512*w**5/3 + 1984*w**4/15 - 158*w**3/5 + 12*w**2/5 = 0.
0, 3/16, 2/5
Factor 3*k**3 + 7*k**2 - 22*k - 8.
(k - 2)*(k + 4)*(3*k + 1)
Let -3*t**3 + 27*t**2 - 42*t = 0. What is t?
0, 2, 7
Let n**3/8 + n**2/4 - 9*n/8 - 9/4 = 0. What is n?
-3, -2, 3
Factor -g**3/6 + 73*g**2/2 + 225*g.
-g*(g - 225)*(g + 6)/6
Let -2*m**2 + 30*m + 252 = 0. Calculate m.
-6, 21
Determine n so that n**5/3 + 40*n**4/3 + 88*n**3/3 - 2080*n**2 + 8112*n = 0.
-26, 0, 6
Factor 3*c**2 - 483*c + 480.
3*(c - 160)*(c - 1)
Find t such that 3*t**3/5 - 951*t**2/5 + 15168*t - 74892/5 = 0.
1, 158
Let 2*z**2/7 + 2*z + 20/7 = 0. What is z?
-5, -2
Find v such that 3*v**3 - 12*v = 0.
-2, 0, 2
Factor -6*l**3 - 51*l**2/2 - 27*l.
-3*l*(l + 2)*(4*l + 9)/2
Factor g**2/2 - 27*g.
g*(g - 54)/2
Let 2*r**3 - 22*r**2 + 48*r = 0. Calculate r.
0, 3, 8
Solve 2*l**2 + 3962*l - 3964 = 0 for l.
-1982, 1
Factor 3*o**4/7 - 3*o**3 + 3*o**2/7 + 81*o/7 + 54/7.
3*(o - 6)*(o - 3)*(o + 1)**2/7
Factor -2*f**3/9 + 30*f**2 - 88*f.
-2*f*(f - 132)*(f - 3)/9
Solve 3*h**4/4 + 309*h**3/4 - 399*h**2 + 645*h - 324 = 0 for h.
-108, 1, 2
Determine k so that -6*k**5 - 39*k**4/2 + 279*k**3/2 + 516*k**2 + 120*k = 0.
-4, -1/4, 0, 5
Factor -3*i**2/5 + 441*i/5.
-3*i*(i - 147)/5
Find i such that -2*i**2 - 52*i + 54 = 0.
-27, 1
Let -5*f**3 - 835*f**2 - 37600*f - 224000 = 0. Calculate f.
-80, -7
Factor -3*h**3 + 36*h**2 + 81*h + 42.
-3*(h - 14)*(h + 1)**2
Suppose -y**3/5 + 3*y**2/5 - 2*y/5 = 0. Calculate y.
0, 1, 2
Factor 700*l**4 + 109280*l**3 + 4249388*l**2 - 1223048*l.
4*l*(5*l + 391)**2*(7*l - 2)
Find b, given that 1849*b**2 - 172*b + 4 = 0.
2/43
Factor 3*u**2 - 357*u + 4680.
3*(u - 104)*(u - 15)
Factor -19*m**3 - 40*m**2 + 13*m + 34.
-(m + 1)*(m + 2)*(19*m - 17)
Factor t**2/7 + 596*t/7 + 88804/7.
(t + 298)**2/7
Solve -4*n**5 - 80*n**4 - 68*n**3 + 152*n**2 = 0 for n.
-19, -2, 0, 1
Factor -5*r**2 + 320.
-5*(r - 8)*(r + 8)
Suppose 2*p**2/9 + 464*p/9 + 26912/9 = 0. What is p?
-116
Factor 10*l**2 - 14*l + 4.
2*(l - 1)*(5*l - 2)
Factor -h**5 - 7*h**4 - 16*h**3 - 12*h**2.
-h**2*(h + 2)**2*(h + 3)
Factor -2*w**3 - 210*w**2 - 7350*w - 85750.
-2*(w + 35)**3
Factor 5*h**5 - 25*h**4 + 45*h**3 - 35*h**2 + 10*h.
5*h*(h - 2)*(h - 1)**3
What is m in 5*m**5/4 + 23*m**4/2 + 39*m**3/4 - 37*m**2/2 - 4*m = 0?
-8, -2, -1/5, 0, 1
Solve 38*z**2 - 74*z + 36 = 0.
18/19, 1
Determine g so that g**3/3 - 32*g**2/3 + 31*g/3 = 0.
0, 1, 31
Factor 3*y**5/5 - 3*y**4 - 96*y**3/5 - 108*y**2/5.
3*y**2*(y - 9)*(y + 2)**2/5
Determine w, given that 3*w**2/5 - 1623*w/5 + 323