1)*(t + 14)
Factor -3*a**3 + 18*a**2 + 153*a + 132.
-3*(a - 11)*(a + 1)*(a + 4)
Let 4*q**5/3 - 88*q**4/3 + 24*q**3 + 256*q**2/3 - 76*q/3 - 56 = 0. Calculate q.
-1, 1, 2, 21
Factor h**2/5 + 88*h/5 - 36.
(h - 2)*(h + 90)/5
Factor -g**3 + 7*g**2 - 14*g + 8.
-(g - 4)*(g - 2)*(g - 1)
Factor 2*k**4 - 74*k**3 + 622*k**2 + 1634*k - 8664.
2*(k - 19)**2*(k - 3)*(k + 4)
Factor -2*y**2/11 + 162/11.
-2*(y - 9)*(y + 9)/11
Factor -2*y**4/9 + 158*y**3/9 - 230*y**2 + 9850*y/9 - 16000/9.
-2*(y - 64)*(y - 5)**3/9
Factor -4*y**3 - 6892*y**2 - 2965280*y + 2972176.
-4*(y - 1)*(y + 862)**2
Factor -2*i**2/5 + 278*i/5 - 276/5.
-2*(i - 138)*(i - 1)/5
Factor 25*p**3/3 + 4067*p**2 + 496296*p + 59536/3.
(p + 244)**2*(25*p + 1)/3
Solve -2*b**4 + 72*b**3 - 716*b**2 + 1224*b - 578 = 0 for b.
1, 17
Factor -4*z**3 + 184*z**2 - 1920*z - 4608.
-4*(z - 24)**2*(z + 2)
What is a in a**4/2 - 65*a**3 - a**2/2 + 65*a = 0?
-1, 0, 1, 130
Factor -3*b**4/5 - 972*b**3/5 + 195*b**2.
-3*b**2*(b - 1)*(b + 325)/5
Factor -2*t**2/9 + 190*t/3.
-2*t*(t - 285)/9
Solve 3*d**3 + 14*d**2 - 81*d - 92 = 0 for d.
-23/3, -1, 4
Factor -2*s**2 + 60*s - 450.
-2*(s - 15)**2
Factor 2*b**2 - 198*b + 576.
2*(b - 96)*(b - 3)
What is y in -5*y**5/3 + 14*y**4/3 - 13*y**3/3 + 4*y**2/3 = 0?
0, 4/5, 1
Let u**5 - 9*u**4 + 11*u**3 + 57*u**2 - 72*u - 108 = 0. What is u?
-2, -1, 3, 6
What is x in -x**2 - 1542*x/7 - 440/7 = 0?
-220, -2/7
Determine i so that -i**5/7 - 11*i**4/7 = 0.
-11, 0
Factor m**4/2 + 9*m**3 - 10*m**2 - 9*m + 19/2.
(m - 1)**2*(m + 1)*(m + 19)/2
Let -33*v**5 - 81*v**4 + 153*v**3 + 177*v**2 - 324*v + 108 = 0. Calculate v.
-3, -2, 6/11, 1
Factor -2*j**2 - 14*j - 12.
-2*(j + 1)*(j + 6)
Factor -28*l**4/5 - 272*l**3/5 - 124*l**2 + 40*l.
-4*l*(l + 5)**2*(7*l - 2)/5
Determine l so that 3*l**2 - 9210*l + 7068675 = 0.
1535
Factor v**3/4 - 5*v**2 - 23*v/4 + 21/2.
(v - 21)*(v - 1)*(v + 2)/4
Let -2*k**2 - 75*k/2 - 71/2 = 0. Calculate k.
-71/4, -1
Let 5*g**2 + 19240*g + 18508880 = 0. What is g?
-1924
Let i**2/8 - 931*i/2 + 866761/2 = 0. Calculate i.
1862
Determine z so that -z**4 - 145*z**3 - 144*z**2 = 0.
-144, -1, 0
Factor 4*h**5 - 832*h**4 - 1676*h**3 - 840*h**2.
4*h**2*(h - 210)*(h + 1)**2
Let 4*y**2 - 3523*y - 881 = 0. Calculate y.
-1/4, 881
What is k in 2*k**4/7 - 2*k**3 - 6*k**2/7 + 38*k/7 + 4 = 0?
-1, 2, 7
Solve -g**2/3 - 587*g/3 + 1178/3 = 0.
-589, 2
Find z such that 2*z**3/11 + 12*z**2/11 - 38*z/11 - 48/11 = 0.
-8, -1, 3
Determine u so that 4*u**3 + 116*u**2 - 512*u + 528 = 0.
-33, 2
Factor 2*u**2 - 138*u.
2*u*(u - 69)
Solve 2*b**2/3 - 1196*b - 3590/3 = 0 for b.
-1, 1795
Factor s**3/12 - 9*s**2/4 + 55*s/6.
s*(s - 22)*(s - 5)/12
Factor -j**3 + 92*j**2 + 389*j - 480.
-(j - 96)*(j - 1)*(j + 5)
Determine s, given that -3*s**5 - 117*s**4 - 108*s**3 + 228*s**2 = 0.
-38, -2, 0, 1
Factor 3*k**3 + 33*k**2 - 360*k + 324.
3*(k - 6)*(k - 1)*(k + 18)
Factor a**3 + 18*a**2 + 95*a + 126.
(a + 2)*(a + 7)*(a + 9)
Determine b so that -124*b**4 + 380*b**3 + 720*b**2 - 1040*b + 64 = 0.
-2, 2/31, 1, 4
Factor -3*u**3 - 15*u**2 + 6*u + 72.
-3*(u - 2)*(u + 3)*(u + 4)
Determine z, given that -2*z**5 - 4*z**4 + 10*z**3 + 12*z**2 = 0.
-3, -1, 0, 2
Factor 2*k**3 + 1782*k**2 + 396048*k - 397832.
2*(k - 1)*(k + 446)**2
Find u, given that -12*u**5 - 19768*u**4 - 10857016*u**3 - 1989233424*u**2 - 654642972*u + 1323753192 = 0.
-549, -1, 2/3
Factor -2*z**4/7 - 230*z**3/7 - 6726*z**2/7 - 6498*z/7.
-2*z*(z + 1)*(z + 57)**2/7
Factor s**4/3 + 26*s**3 - 407*s**2/3 + 220*s - 332/3.
(s - 2)**2*(s - 1)*(s + 83)/3
Factor -2*t**4 + 6*t**3 - 6*t**2 + 2*t.
-2*t*(t - 1)**3
Factor -p**2 - 73*p - 952.
-(p + 17)*(p + 56)
Find b, given that b**4/3 - 5*b**3/3 - 68*b**2/3 - 60*b - 48 = 0.
-3, -2, 12
Suppose 2*f**2/13 - 4*f/13 + 2/13 = 0. Calculate f.
1
Factor 12*l**2 - 116*l - 40.
4*(l - 10)*(3*l + 1)
Let 35*h**4 + 4420*h**3 + 156135*h**2 + 1018930*h + 278480 = 0. What is h?
-59, -8, -2/7
Determine v so that 4*v**4 + 156*v**3 + 828*v**2 - 14812*v = 0.
-23, 0, 7
Let 2*w**5 - 26*w**4 - 3*w**3/2 + 20*w**2 - 13*w/2 = 0. Calculate w.
-1, 0, 1/2, 13
Factor -f**2/3 + 596*f/3 - 396.
-(f - 594)*(f - 2)/3
Factor 3*o**2/5 - 4494*o + 8415015.
3*(o - 3745)**2/5
Determine c, given that -5*c**2/3 + 455*c/3 = 0.
0, 91
Let -6*g**4/5 + 16*g**3/5 + 212*g**2/5 + 192*g/5 - 414/5 = 0. What is g?
-3, 1, 23/3
Factor -4*o**3/7 - 292*o**2/7 - 572*o/7 - 284/7.
-4*(o + 1)**2*(o + 71)/7
Find g such that -2*g**5/9 + 2*g**4/3 + 20*g**3/9 - 20*g**2/3 - 2*g + 6 = 0.
-3, -1, 1, 3
Factor -20*o**2 + 2275*o + 570.
-5*(o - 114)*(4*o + 1)
Solve m**4 + 354*m**3 + 30972*m**2 - 63368*m = 0 for m.
-178, 0, 2
Factor -5*d**4 + 25*d**3 - 5*d**2 - 105*d + 90.
-5*(d - 3)**2*(d - 1)*(d + 2)
Factor -2*v**3/7 + 22*v**2/7 + 50*v/7 + 26/7.
-2*(v - 13)*(v + 1)**2/7
Factor 2*v**3 + 138*v**2 + 1080*v.
2*v*(v + 9)*(v + 60)
Let 4*o**4/7 + 80*o**3/7 - 12*o**2 = 0. Calculate o.
-21, 0, 1
Determine w so that -2*w**4/3 - 8*w**3 - 30*w**2 - 100*w/3 = 0.
-5, -2, 0
Solve -9*v**5/2 + 15*v**4 - 27*v**3/2 + 3*v**2 = 0 for v.
0, 1/3, 1, 2
Determine r so that -10*r**5 + 75*r**4 - 175*r**3 + 150*r**2 - 40*r = 0.
0, 1/2, 1, 2, 4
Factor -i**3/4 + 162*i**2 - 26244*i.
-i*(i - 324)**2/4
Factor 5*m**4 - 45*m**3 - 165*m**2 - 175*m - 60.
5*(m - 12)*(m + 1)**3
Factor 2*f**3/19 + 6*f**2/19 - 92*f/19 - 96/19.
2*(f - 6)*(f + 1)*(f + 8)/19
Factor d**4 - 273*d**3 - 3*d**2 + 821*d - 546.
(d - 273)*(d - 1)**2*(d + 2)
Suppose 2*s**2/3 + 17*s/3 + 35/3 = 0. What is s?
-5, -7/2
Suppose 2*f**2/7 - 1340*f/7 + 224450/7 = 0. Calculate f.
335
Find n, given that 3*n**2 + 36*n + 81 = 0.
-9, -3
Let -36*o**4/5 + 147*o**3/5 - 117*o**2/5 - 144*o/5 + 156/5 = 0. What is o?
-1, 13/12, 2
Factor 4*w**3 - 216*w**2 - 4*w + 216.
4*(w - 54)*(w - 1)*(w + 1)
Solve 2*h**4 - 44*h**3 + 240*h**2 + 44*h - 242 = 0 for h.
-1, 1, 11
Factor 4*r**5 - 52*r**4 + 232*r**3 - 352*r**2 - 128*r + 512.
4*(r - 4)**3*(r - 2)*(r + 1)
Factor -i**5 + 40*i**4 - 38*i**3 - 40*i**2 + 39*i.
-i*(i - 39)*(i - 1)**2*(i + 1)
Let 4*z**5 - 40*z**4 - 28*z**3 + 784*z**2 = 0. What is z?
-4, 0, 7
Find k, given that 5*k**5/3 - 95*k**4/3 - 35*k**3 + 95*k**2/3 + 100*k/3 = 0.
-1, 0, 1, 20
Suppose 3*t**3 - 3*t**2 - 12*t + 12 = 0. Calculate t.
-2, 1, 2
Factor k**3 - 11*k**2 - 41*k + 195.
(k - 13)*(k - 3)*(k + 5)
Factor 2*q**2 + 1776*q.
2*q*(q + 888)
Find n, given that n**3 + 89*n**2 - 1616*n + 6720 = 0.
-105, 8
Factor -3*j**3 + 33*j**2 - 57*j + 27.
-3*(j - 9)*(j - 1)**2
Factor 3*y**3/4 + 9609*y**2/4 + 19209*y/4 + 9603/4.
3*(y + 1)**2*(y + 3201)/4
Find q, given that 3*q**4 + 13*q**3 + 7*q**2 - 17*q - 6 = 0.
-3, -2, -1/3, 1
Factor 25*n**4 + 85*n**3 + 15*n**2 - 45*n.
5*n*(n + 1)*(n + 3)*(5*n - 3)
Suppose 15*z**2 + 171*z - 108 = 0. Calculate z.
-12, 3/5
Factor 3*g**4 + 57*g**3 + 102*g**2.
3*g**2*(g + 2)*(g + 17)
Solve 15*n**4 + 425*n**3 + 3455*n**2 + 6175*n + 1690 = 0.
-13, -2, -1/3
Find m such that -m**5/8 + 7*m**4/8 - 5*m**3/8 - 31*m**2/8 + 15*m/4 = 0.
-2, 0, 1, 3, 5
Solve j**4/2 - 16*j**3/3 - 37*j**2/2 + 130*j/3 = 0 for j.
-4, 0, 5/3, 13
Factor 3*i**2 + 6*i + 3.
3*(i + 1)**2
Factor k**2 + 37*k + 70.
(k + 2)*(k + 35)
Find c, given that 5*c**3/3 + 11*c**2/3 - 13*c/3 - 1 = 0.
-3, -1/5, 1
Factor n**3/3 + 724*n**2/3 + 131765*n/3 + 260642/3.
(n + 2)*(n + 361)**2/3
Suppose -5*t**3 - 45*t**2 + 5*t + 45 = 0. What is t?
-9, -1, 1
Factor -5*l**4 + 1155*l**3.
-5*l**3*(l - 231)
Solve -5*g**3 + 405*g**2 - 775*g - 1185 = 0 for g.
-1, 3, 79
Solve 3*r**3 + 117*r**2 + 114*r = 0.
-38, -1, 0
Factor 24843*h**2/4 - 4095*h + 675.
3*(91*h - 30)**2/4
Factor 5*p**3/6 - 55*p**2/2 - 30*p + 170/3.
5*(p - 34)*(p - 1)*(p + 2)/6
Find c such that 3*c**5 - 46*c**4 + 198*c**3 - 124*c**2 - 273*c + 98 = 0.
-1, 1/3, 2, 7
Suppose 10*a**2 - 64*a - 42 = 0. What is a?
-3/5, 7
Factor 3*n**3 + 6*n**2 - 87*n + 126.
3*(n - 3)*(n - 2)*(n + 7)
Factor 4*j**2 + 168*j + 1088.
4*(j + 8)*(j + 34)
Factor 4*i**4/5 + 21*i**3/5 + 6*i**2 - 4*i/5 - 24/5.
(i + 2)**3*(4*i - 3)/5
Factor 2*l**3 + 50*l**2.
2*l**2*(l + 25)
Suppose -3*a**5 - 33*a**4 - 57*a**3 + 297*a**2 + 648*a + 324 = 0. What is a?
-6, -1, 3
Factor 2*m**3/11 - 80*m**2/11 + 56*m + 352.
2*(m - 22)**2*(m + 4)/11
Find k, given that 5*k**4 - 15*k**3 - 55*k**2 + 15*k + 50 = 0.
-2, -1, 1, 5
Factor -2*g**4/15 - 14*g**3/3 - 272*g**2/5 - 1056*g/5.
-2*g*(g + 11)*(g + 12)**2/15
Factor -20*y**4 - 280*y**3 - 705*y**2 - 