- 144.
-4*(l - 1)**2*(l + 2)*(l + 18)
Let -5*k**4 + 40*k**3 + 165*k**2 + 20*k - 220 = 0. Calculate k.
-2, 1, 11
Find v, given that 3*v**2/7 - 15*v - 108/7 = 0.
-1, 36
Let -2*g**4/7 + 10*g**3/7 + 50*g**2/7 - 250*g/7 = 0. Calculate g.
-5, 0, 5
Factor 3*x**2 - 156*x + 1728.
3*(x - 36)*(x - 16)
Let -v**2/6 + 29*v/3 - 19/2 = 0. Calculate v.
1, 57
Factor 3*d**4 - 96*d**3 + 846*d**2 - 1080*d - 2025.
3*(d - 15)**2*(d - 3)*(d + 1)
Factor -p**4 - 7*p**3 - 5*p**2 + 7*p + 6.
-(p - 1)*(p + 1)**2*(p + 6)
Solve x**2 - 83*x + 730 = 0 for x.
10, 73
Factor o**3/5 + 19*o**2/5 - 42*o/5.
o*(o - 2)*(o + 21)/5
Factor 2*q**2/7 - 6*q/7 - 8.
2*(q - 7)*(q + 4)/7
Suppose 180*i**3 + 1256*i**2 + 2132*i - 48 = 0. Calculate i.
-4, -3, 1/45
Factor -3*q**3 + 459*q**2 - 1752*q - 5364.
-3*(q - 149)*(q - 6)*(q + 2)
Factor n**3 - 84*n**2 + 1677*n + 3698.
(n - 43)**2*(n + 2)
Factor -5*b**3 + 65*b**2 - 95*b - 165.
-5*(b - 11)*(b - 3)*(b + 1)
Find s such that -5*s**5 + 37*s**4 + 96*s**3 - 184*s**2 - 304*s + 144 = 0.
-2, 2/5, 2, 9
Determine p, given that p**4/3 - 40*p**3/3 + 358*p**2/3 + 280*p + 147 = 0.
-1, 21
Suppose -3*q**4 + 48*q**3 + 225*q**2 + 294*q + 120 = 0. What is q?
-2, -1, 20
Let -2*j**2 - 24*j + 90 = 0. What is j?
-15, 3
Solve -f**5/3 + 8*f**4/3 + 2*f**3/3 - 16*f**2/3 - f/3 + 8/3 = 0 for f.
-1, 1, 8
Solve -5*j**5 - 1175*j**4 + 1195*j**3 + 3535*j**2 - 1190*j - 2360 = 0.
-236, -1, 1, 2
Determine r so that 2*r**4/3 + 4*r**3 - 66*r**2 - 216*r = 0.
-12, -3, 0, 9
Determine g so that 2*g**3/3 - 20*g**2/3 - 26*g/3 + 44/3 = 0.
-2, 1, 11
Let 4*i**4 + 536*i**3 + 18996*i**2 + 69680*i + 67600 = 0. What is i?
-65, -2
Find g, given that 2*g**4/11 - 6*g**3/11 - 4*g**2/11 + 24*g/11 - 16/11 = 0.
-2, 1, 2
Factor q**2/4 - 87*q/4 + 63.
(q - 84)*(q - 3)/4
Factor 2*t**2/15 - 2988*t/5 + 3348054/5.
2*(t - 2241)**2/15
Let -f**4/4 + 25*f**3/4 + 7*f**2 - 13*f = 0. What is f?
-2, 0, 1, 26
Factor -b**3/3 - 32*b**2 + 841*b/3 + 312.
-(b - 9)*(b + 1)*(b + 104)/3
Determine j, given that j**3/5 - 34*j**2/5 - 448*j/5 + 17248/5 = 0.
-22, 28
Suppose -2*w**3/11 - 30*w**2/11 - 144*w/11 - 216/11 = 0. Calculate w.
-6, -3
Factor -4*d**3/5 - 72*d**2/5 - 48*d + 160.
-4*(d - 2)*(d + 10)**2/5
Determine w so that -w**4/2 + 39*w**3/2 - 134*w**2 - 1122*w - 968 = 0.
-4, -1, 22
Factor 3*l**4/5 + 522*l**3 + 151380*l**2 + 14633400*l.
3*l*(l + 290)**3/5
Factor t**2/5 + 19*t/5 + 78/5.
(t + 6)*(t + 13)/5
Suppose 10*m**3 + 784*m**2 + 14712*m + 5760 = 0. Calculate m.
-48, -30, -2/5
Factor k**5 - 521*k**4 + 68638*k**3 - 202798*k**2 + 201761*k - 67081.
(k - 259)**2*(k - 1)**3
What is r in -9*r**2 - 197*r/2 + 11/2 = 0?
-11, 1/18
What is g in -6*g**5/19 + 506*g**4/19 - 14280*g**3/19 + 136416*g**2/19 - 43904*g/19 = 0?
0, 1/3, 28
Factor 2*h**5/7 - 232*h**4/7 + 7394*h**3/7 - 38956*h**2/7 + 74360*h/7 - 48400/7.
2*(h - 55)**2*(h - 2)**3/7
Find r such that -r**2/6 - 353*r/6 - 176/3 = 0.
-352, -1
Find t such that 4*t**3 + 32*t**2 + 80*t + 64 = 0.
-4, -2
What is g in -35643*g**2/4 + 327*g - 3 = 0?
2/109
Factor 2*u**3/13 - 2*u + 24/13.
2*(u - 3)*(u - 1)*(u + 4)/13
Suppose 3*d**2/2 - 1245*d/2 + 621 = 0. What is d?
1, 414
Find h, given that -2*h**5 - 12*h**4 + 34*h**3 + 12*h**2 - 32*h = 0.
-8, -1, 0, 1, 2
Factor 3*u**3/8 + 69*u**2/8 + 129*u/8 + 63/8.
3*(u + 1)**2*(u + 21)/8
Factor 32*y**4/3 - 2504*y**3/3 + 22042*y**2 - 1220035*y/6 + 1092727/6.
(y - 1)*(4*y - 103)**3/6
Factor h**2/6 + 376*h/3 + 70688/3.
(h + 376)**2/6
What is n in 5*n**5 + 545*n**4 - 1670*n**3 + 1120*n**2 = 0?
-112, 0, 1, 2
Solve -9*v**3 + 5505*v**2 - 840888*v - 280908 = 0 for v.
-1/3, 306
Let -33*m**3 + 699*m**2 + 3174*m - 600 = 0. Calculate m.
-4, 2/11, 25
Find a, given that 3*a**4 - 543*a**3 + 20661*a**2 + 366951*a = 0.
-13, 0, 97
Suppose 2*n**2/7 - 1724*n/7 + 371522/7 = 0. Calculate n.
431
What is m in 2*m**5/5 - 38*m**4/5 + 206*m**3/5 - 106*m**2/5 - 992*m/5 - 128 = 0?
-1, 5, 8
Determine t so that -15*t**4 - 63*t**3 - 12*t**2 = 0.
-4, -1/5, 0
Factor 2*y**3/5 + 4*y**2/5 - 96*y/5.
2*y*(y - 6)*(y + 8)/5
Find j, given that 98*j**4/5 - 448*j**3/5 + 232*j**2/5 - 32*j/5 = 0.
0, 2/7, 4
Suppose -4*w**5 + 44*w**4 = 0. What is w?
0, 11
Find n, given that n**3/2 - n**2/2 - 21*n = 0.
-6, 0, 7
Find d such that 2*d**2 - 5652*d + 3993138 = 0.
1413
Determine v, given that -2*v**5/3 + 22*v**4/3 - 18*v**3 + 50*v**2/3 - 16*v/3 = 0.
0, 1, 8
Factor p**3/4 - 7*p**2/4 + 11*p/4 - 5/4.
(p - 5)*(p - 1)**2/4
Solve -o**4 + 5*o**3 + 186*o**2 + 828*o + 648 = 0 for o.
-6, -1, 18
Solve n**3 - n**2 - 8*n + 12 = 0.
-3, 2
Solve -2*d**3/15 + 8*d**2/3 - 166*d/15 - 208/15 = 0.
-1, 8, 13
Factor -t**5/6 + 3*t**4/2 - 7*t**3/2 + 19*t**2/6 - t.
-t*(t - 6)*(t - 1)**3/6
Find q such that -2*q**3 + 80*q**2/3 - 142*q/3 - 44 = 0.
-2/3, 3, 11
Let 3*s**4 - 3*s**3 - 99*s**2 - 189*s = 0. Calculate s.
-3, 0, 7
Factor 2*d**5 + 50*d**4 + 380*d**3 + 860*d**2 + 770*d + 242.
2*(d + 1)**3*(d + 11)**2
Factor o**2/7 + 290*o/7 + 21025/7.
(o + 145)**2/7
Factor -z**4 - 109*z**3/2 - 999*z**2 - 6318*z - 2916.
-(z + 18)**3*(2*z + 1)/2
Let -40*c**3 + 62*c**2 + 124*c + 22 = 0. Calculate c.
-1, -1/5, 11/4
Determine j so that 4*j**3/9 - 176*j**2/9 - 236*j - 216 = 0.
-9, -1, 54
Let v**2/10 - 525*v + 1378125/2 = 0. Calculate v.
2625
Let -3*u**4 + 63*u**3 - 12*u**2 - 900*u - 1200 = 0. What is u?
-2, 5, 20
Factor -2*n**3 - 6*n**2 + 8*n.
-2*n*(n - 1)*(n + 4)
Determine a so that -a**4/5 + 102*a**3/5 + 312*a**2/5 + 314*a/5 + 21 = 0.
-1, 105
Find u such that 2*u**5/9 + 28*u**4/9 + 86*u**3/9 + 52*u**2/9 - 88*u/9 - 80/9 = 0.
-10, -2, -1, 1
Let -2*z**2 - 902*z + 1812 = 0. Calculate z.
-453, 2
Suppose -y**5/4 + 15*y**4/2 - 67*y**3 + 273*y**2/2 + 845*y/4 = 0. Calculate y.
-1, 0, 5, 13
Factor -6*s**2 + 52*s + 18.
-2*(s - 9)*(3*s + 1)
Factor 8*v**2 - 140*v - 148.
4*(v + 1)*(2*v - 37)
Suppose -4*w**4/23 - 2*w**3/23 + 14*w**2/23 + 12*w/23 = 0. Calculate w.
-3/2, -1, 0, 2
Factor -w**4/2 - 2*w**3 + 8*w + 8.
-(w - 2)*(w + 2)**3/2
Determine n so that -4*n**2/5 - 268*n/5 = 0.
-67, 0
Solve -41781923*m**3/6 + 240818*m**2 - 2776*m + 32/3 = 0.
4/347
Factor -5*m**2 + 5*m + 210.
-5*(m - 7)*(m + 6)
Factor 3*f**4 + 1377*f**3 - 8334*f**2 + 16716*f - 11160.
3*(f - 2)**3*(f + 465)
Factor -3*x**4/4 + 12*x**3 - 87*x**2/4 + 21*x/2.
-3*x*(x - 14)*(x - 1)**2/4
Suppose -4*b**2 - 115*b + 29 = 0. Calculate b.
-29, 1/4
Factor g**2/3 + 7*g + 68/3.
(g + 4)*(g + 17)/3
What is m in -2*m**3/11 + 58*m**2/11 = 0?
0, 29
Solve -2*c**4/5 - 2*c**3/5 + 14*c**2/5 + 26*c/5 + 12/5 = 0.
-2, -1, 3
Factor p**5/2 - 4*p**4 + 23*p**3/2 - 14*p**2 + 6*p.
p*(p - 3)*(p - 2)**2*(p - 1)/2
Determine k, given that 2*k**2 + 2648*k + 876488 = 0.
-662
Find q such that -4*q**4 + 32*q**3 - 76*q**2 + 48*q = 0.
0, 1, 3, 4
Suppose -30*f**4 + 416*f**3 - 664*f**2 - 96*f = 0. Calculate f.
-2/15, 0, 2, 12
Factor -3*a**3/7 + 54*a**2/7 - 288*a/7 + 384/7.
-3*(a - 8)**2*(a - 2)/7
Factor 3*u**2 + 24*u.
3*u*(u + 8)
Suppose 2*o**3/5 - 356*o**2/5 - 438*o - 3312/5 = 0. Calculate o.
-3, 184
Solve -g**2 - 89*g - 174 = 0 for g.
-87, -2
Factor 3*t**4 + 21*t**3 + 24*t**2 - 48*t.
3*t*(t - 1)*(t + 4)**2
Factor f**4/6 - 827*f**3/3 + 682273*f**2/6 + 228252*f + 114264.
(f - 828)**2*(f + 1)**2/6
Factor -3*f**3 + 117*f**2.
-3*f**2*(f - 39)
Determine v, given that -3*v**4/4 + 15*v**3/2 + 9*v**2 - 399*v/2 + 735/4 = 0.
-5, 1, 7
Factor 4*g**2 + 4*g.
4*g*(g + 1)
Factor 2*x**4/3 - 46*x**3/3 - 2*x**2/3 + 46*x/3.
2*x*(x - 23)*(x - 1)*(x + 1)/3
Solve -4*g**3/5 + 16*g**2 - 272*g/5 + 256/5 = 0.
2, 16
Find b such that -b**3/3 + 64*b**2/3 - 124*b/3 = 0.
0, 2, 62
Solve -2*z**4/3 + 4*z**3 - 8*z**2/3 - 4*z + 10/3 = 0.
-1, 1, 5
Factor -a**5/3 + a**4/3 + 2*a**3 - 14*a**2/3 + 11*a/3 - 1.
-(a - 1)**4*(a + 3)/3
Factor r**2/6 - 19*r/6 - 7.
(r - 21)*(r + 2)/6
Suppose 5*c**5 + 30*c**4 - 95*c**3 - 100*c**2 + 180*c + 160 = 0. What is c?
-8, -1, 2
Factor -2*j**2/7 - 18*j/7 + 20/7.
-2*(j - 1)*(j + 10)/7
Find k such that -2*k**5/5 + 14*k**4/5 + 176*k**3/5 + 56*k**2 = 0.
-5, -2, 0, 14
Factor -y**4/6 + 2*y**3/3 + 64*y**2/3 - 128*y.
-y*(y - 8)**2*(y + 12)/6
Find q, given that q**2/2 - 35*q/2 - 37 = 0.
-2, 37
Determine d so that 12*d**4/5 - 136*d**3/5 + 452*d**2/5 - 424*d/5 + 96/5 = 0.
1/3, 1, 4, 6
Factor c**2/5 + 11*c.
c*(c + 55)/5
Suppose -w**4 - 62*w**3 + 195*w**2 - 4*w - 260 = 0. What is w?
-65, -1, 2
Determine d so that -75*d**5 - 530*d**4 - 425*d**3 + 410*d**2 + 500*d +