**2 + 12*k + 8.
(k + 2)**3
Let 2*c**4/3 + 206*c**3/3 = 0. Calculate c.
-103, 0
Find t, given that 2*t**2 + 210*t - 648 = 0.
-108, 3
Factor -2*l**3/17 - 152*l**2/17 - 3034*l/17 - 5476/17.
-2*(l + 2)*(l + 37)**2/17
Suppose 3*a**3/2 + 7179*a**2/2 + 2149212*a + 2145624 = 0. Calculate a.
-1196, -1
Let -14*o**3/9 - 256*o**2/9 + 488*o/9 + 160/9 = 0. What is o?
-20, -2/7, 2
Factor -507*t**3/8 - 8697*t**2/4 - 41265*t/2 - 33075.
-3*(t + 2)*(13*t + 210)**2/8
Factor 3*y**5/5 - 9*y**4/5 - 3*y**3/5 + 33*y**2/5 - 36*y/5 + 12/5.
3*(y - 2)*(y - 1)**3*(y + 2)/5
Find k such that -3*k**5/8 - 3*k**4/2 - 3*k**3/2 + 3*k**2/4 + 15*k/8 + 3/4 = 0.
-2, -1, 1
Find l such that -l**2/2 + 77*l - 5929/2 = 0.
77
Factor -4*g**4 + 100*g**3 - 924*g**2 + 3724*g - 5488.
-4*(g - 7)**3*(g - 4)
Factor -n**3/4 - n**2 + n/4 + 1.
-(n - 1)*(n + 1)*(n + 4)/4
Let 3*f**2/5 - 213*f/5 + 234 = 0. What is f?
6, 65
Determine y so that y**3/4 + 3*y**2 - 195*y/4 + 275/2 = 0.
-22, 5
Factor 2*o**2 + 178*o + 348.
2*(o + 2)*(o + 87)
Suppose -50*d**4 - 360*d**3 - 488*d**2 + 576*d - 128 = 0. Calculate d.
-4, 2/5
Solve 196*u**5 + 980*u**4/3 - 832*u**3/3 - 288*u**2 + 64*u/3 + 64/3 = 0 for u.
-2, -2/3, -2/7, 2/7, 1
Let -4*z**4 + 300*z**3 - 5748*z**2 + 3700*z + 32856 = 0. Calculate z.
-2, 3, 37
Solve -2*z**2 + 296*z + 2496 = 0 for z.
-8, 156
Factor -2*v**2/5 - 18*v/5 - 8.
-2*(v + 4)*(v + 5)/5
Find v, given that -4*v**3/5 + 1724*v**2 - 17228*v/5 + 8612/5 = 0.
1, 2153
Solve -4*b**2/7 + 180*b/7 - 72 = 0.
3, 42
Factor -4*i**2 + 60*i + 64.
-4*(i - 16)*(i + 1)
Let 18*k**5 + 48*k**4 - 1366*k**3 + 2924*k**2 - 2152*k + 528 = 0. Calculate k.
-11, 2/3, 1, 6
Suppose -5*l**4 + 35*l**3 - 85*l**2 + 85*l - 30 = 0. Calculate l.
1, 2, 3
What is n in -5*n**5 + 5*n**4 + 15*n**3 - 5*n**2 - 10*n = 0?
-1, 0, 1, 2
Factor 2*u**3/5 + 6*u**2 - 354*u/5 + 322/5.
2*(u - 7)*(u - 1)*(u + 23)/5
Let -g**3/4 - 765*g**2/4 - 1527*g/4 - 763/4 = 0. Calculate g.
-763, -1
Solve -h**3/4 - 33*h**2/2 - 336*h - 2176 = 0.
-34, -16
Factor k**4/5 - 3454*k**3/5 + 2985981*k**2/5 - 5961604*k/5 + 2979076/5.
(k - 1726)**2*(k - 1)**2/5
Find o such that -8*o**2 - 76*o/3 - 56/3 = 0.
-2, -7/6
Find o, given that -4*o**2/3 - 17*o/3 - 5 = 0.
-3, -5/4
Suppose -3*h**3 + 36*h**2 - 33*h = 0. What is h?
0, 1, 11
Factor 5*n**5/2 + 15*n**4/2 - 115*n**3 - 365*n**2 - 735*n/2 - 245/2.
5*(n - 7)*(n + 1)**3*(n + 7)/2
Suppose -5*t**3 + 90*t**2 - 405*t + 540 = 0. What is t?
3, 12
Find o such that 3*o**5 + 33*o**4 + 60*o**3 - 240*o**2 - 288*o + 432 = 0.
-6, -2, 1, 2
Factor f**3 + 25*f**2 - 4*f - 100.
(f - 2)*(f + 2)*(f + 25)
Factor 5*k**4 - 5*k**3 - 35*k**2 + 65*k - 30.
5*(k - 2)*(k - 1)**2*(k + 3)
Factor -2*i**3/3 - 62*i**2 - 718*i/3 - 178.
-2*(i + 1)*(i + 3)*(i + 89)/3
Factor -2*o**3/9 - 22*o**2/9 - 20*o/9.
-2*o*(o + 1)*(o + 10)/9
What is h in -2*h**2/15 - 2248*h/15 - 631688/15 = 0?
-562
Factor 2*j**4 - 6*j**3 + 2*j**2 + 6*j - 4.
2*(j - 2)*(j - 1)**2*(j + 1)
Find z, given that -z**4/2 + 69*z**3 - 4757*z**2/2 - 276*z + 9522 = 0.
-2, 2, 69
Suppose p**5/3 + 5*p**4 - 35*p**3/3 - 5*p**2 + 34*p/3 = 0. What is p?
-17, -1, 0, 1, 2
Find r, given that -15*r**3 - 72*r**2 + 432*r + 384 = 0.
-8, -4/5, 4
Factor 39*i**5 - 660*i**4 + 4320*i**3 - 13440*i**2 + 19200*i - 9216.
3*(i - 4)**4*(13*i - 12)
Find s such that -2*s**2/5 + 58*s/5 - 56/5 = 0.
1, 28
Suppose -2*t**4 + 18*t**2 + 8*t - 24 = 0. What is t?
-2, 1, 3
Solve -2*k**3 - 51*k**2 + 143*k + 84 = 0 for k.
-28, -1/2, 3
Solve 5*k**4 - 5*k**3 - 30*k**2 = 0.
-2, 0, 3
Suppose 1100*r**4 + 1740*r**3 + 368*r**2 - 336*r - 64 = 0. What is r?
-1, -4/5, -2/11, 2/5
Solve -2*q**5/21 + 104*q**4/21 - 82*q**3 + 420*q**2 = 0.
0, 10, 21
Determine a, given that -3*a**5/2 + 33*a**4/8 - 15*a**3/8 - 3*a**2/4 = 0.
-1/4, 0, 1, 2
Suppose -2*z**2 - 122*z - 756 = 0. Calculate z.
-54, -7
Factor -5*v**2/4 - 205*v/4 + 105/2.
-5*(v - 1)*(v + 42)/4
Determine a so that a**4/3 + 5*a**3/3 + 2*a**2 = 0.
-3, -2, 0
Factor x**3 - 26*x**2 + 109*x - 84.
(x - 21)*(x - 4)*(x - 1)
What is c in -c**4/2 + 39*c**3/2 + 693*c**2/2 + 2597*c/2 = 0?
-7, 0, 53
Suppose -4*v**5 + 20*v**4 + 8*v**3 - 96*v**2 = 0. Calculate v.
-2, 0, 3, 4
Factor 4*x**4 + 56*x**3 + 228*x**2 + 304*x + 128.
4*(x + 1)**2*(x + 4)*(x + 8)
Let -4*o**4/7 + 5388*o**3/7 - 32232*o**2/7 + 9200*o - 42912/7 = 0. What is o?
2, 1341
Let 9*o**3 - 20*o**2 + 4*o = 0. What is o?
0, 2/9, 2
Factor 7*l**4 - 100*l**3 - 189*l**2 - 50*l + 32.
(l - 16)*(l + 1)**2*(7*l - 2)
Factor 3*g**4 - 12*g**3 + 6*g**2 + 12*g - 9.
3*(g - 3)*(g - 1)**2*(g + 1)
Find q such that 2*q**5 + 12*q**4 + 6*q**3 - 92*q**2 - 216*q - 144 = 0.
-3, -2, 3
Find h, given that -5*h**3 - 35*h**2 + 245*h + 1715 = 0.
-7, 7
Find t such that -4*t**5/7 + 36*t**4 + 260*t**3/7 - 36*t**2 - 256*t/7 = 0.
-1, 0, 1, 64
Suppose -2*u**4 - 28*u**3 - 96*u**2 + 28*u + 98 = 0. Calculate u.
-7, -1, 1
Find j, given that 5*j**3/2 - 1080*j**2 + 155520*j - 7464960 = 0.
144
Find w such that 51*w**2/7 + 198*w/7 - 24/7 = 0.
-4, 2/17
Suppose 4*g**3 + 12*g**2 - 4*g - 12 = 0. What is g?
-3, -1, 1
Factor -2*n**4/9 + 2*n**3/9 + 8*n**2/9 - 8*n/9.
-2*n*(n - 2)*(n - 1)*(n + 2)/9
Suppose 4*v**3 + 20*v**2 + 16*v = 0. Calculate v.
-4, -1, 0
Let a**3/6 + 4*a**2 + 83*a/6 + 10 = 0. What is a?
-20, -3, -1
Determine r, given that 2*r**2 + 8584*r + 9210632 = 0.
-2146
Factor h**2 - 49.
(h - 7)*(h + 7)
Find i such that -4*i**5 + 24*i**4 + 76*i**3 - 80*i**2 - 144*i + 128 = 0.
-2, 1, 8
Factor 3*l**4 + 60*l**3 + 432*l**2 + 1344*l + 1536.
3*(l + 4)**3*(l + 8)
Factor x**3 - 331*x**2 + 27224*x + 27556.
(x - 166)**2*(x + 1)
Factor -4*r**2 + 252*r - 488.
-4*(r - 61)*(r - 2)
Factor -d**2/5 + 4*d + 44/5.
-(d - 22)*(d + 2)/5
Determine a so that 31*a**4/7 + 153*a**3/7 - 444*a**2/7 + 4*a = 0.
-7, 0, 2/31, 2
Solve -3*k**5 + 81*k**4 - 150*k**3 - 6*k**2 + 153*k - 75 = 0.
-1, 1, 25
Factor -d**5/11 - 2*d**4/11 + 7*d**3/11 - 4*d**2/11.
-d**2*(d - 1)**2*(d + 4)/11
Factor 4*h**3 - 116*h**2 + 456*h + 576.
4*(h - 24)*(h - 6)*(h + 1)
Factor -2*x**3 + 36*x**2 + 3840*x - 94208.
-2*(x - 32)**2*(x + 46)
Let -12*z**3 - 22*z**2 + 14*z/3 + 4/3 = 0. What is z?
-2, -1/6, 1/3
Factor 2*s**4/3 - 4*s**3 - 2*s**2/3 + 4*s.
2*s*(s - 6)*(s - 1)*(s + 1)/3
Factor -2*o**2/9 + 74*o/9 - 140/9.
-2*(o - 35)*(o - 2)/9
Let -4*y**5 - 280*y**4 - 5432*y**3 - 18752*y**2 - 22308*y - 8712 = 0. Calculate y.
-33, -2, -1
Let -5*v**5 + 30*v**4 - 20*v**3 - 30*v**2 + 25*v = 0. What is v?
-1, 0, 1, 5
Find y, given that -y**5/5 + 21*y**4/5 + 4*y**3/5 - 84*y**2/5 = 0.
-2, 0, 2, 21
Solve -3*k**3/2 - 3*k**2/2 + 6*k + 6 = 0 for k.
-2, -1, 2
Determine l, given that 15*l**5 + 130*l**4 - 205*l**3 - 40*l**2 + 100*l = 0.
-10, -2/3, 0, 1
Suppose 3*q**4/2 - 15*q**3 + 36*q**2 + 15*q - 75/2 = 0. Calculate q.
-1, 1, 5
Suppose 6*q**4/7 - 12*q**3 + 216*q**2/7 - 204*q/7 + 66/7 = 0. Calculate q.
1, 11
Suppose 7*y**5/6 - 11*y**4/2 - 18*y**3 - 14*y**2/3 = 0. Calculate y.
-2, -2/7, 0, 7
Solve -3*o**3 - 237*o**2 - 465*o - 231 = 0.
-77, -1
Let -2*c**5/11 + 8*c**4/11 - 20*c**2/11 + 2*c/11 + 12/11 = 0. Calculate c.
-1, 1, 2, 3
Determine k, given that -2*k**2/15 + 32*k/15 + 30 = 0.
-9, 25
Determine h so that -3*h**5/5 + 3*h**4/5 + 3*h**3 - 3*h**2 - 12*h/5 + 12/5 = 0.
-2, -1, 1, 2
Find i, given that 3*i**4/2 - 78*i**3 - 162*i**2 = 0.
-2, 0, 54
Find a, given that 6*a**2/5 + 234*a/5 + 228/5 = 0.
-38, -1
Let -3*c**2/7 - 3594*c/7 - 1076403/7 = 0. Calculate c.
-599
Factor -5*c**4/3 - 425*c**3 - 36125*c**2 - 3070625*c/3.
-5*c*(c + 85)**3/3
Factor 4*o**3/5 + 64*o**2/5.
4*o**2*(o + 16)/5
Factor 2*t**2 + 1068*t - 2144.
2*(t - 2)*(t + 536)
What is m in -21*m**3/2 + 117*m**2/2 + 195*m + 72 = 0?
-2, -3/7, 8
Determine d so that -2*d**3 - 4*d**2 + 10*d + 12 = 0.
-3, -1, 2
Factor f**3/4 - 45*f**2/4 - 23*f/2.
f*(f - 46)*(f + 1)/4
Find y such that 2*y**3 + 24*y**2 + 58*y + 36 = 0.
-9, -2, -1
Suppose 45*j**5/7 + 298*j**4/7 - 1440*j**3/7 + 2082*j**2/7 - 1261*j/7 + 276/7 = 0. What is j?
-92/9, 3/5, 1
Find m such that -3*m**4 + 30*m**3 - 84*m**2 + 72*m = 0.
0, 2, 6
Find w such that 4*w**3 - 4*w**2 - 8*w = 0.
-1, 0, 2
Find y, given that y**2/4 + 9*y/2 + 17/4 = 0.
-17, -1
Let -36*i**3 - 2076*i**2 + 2816*i - 944 = 0. Calculate i.
-59, 2/3
Factor -3*t**5/5 - 171*t**4/5 - 654*t**3/5 - 966*t**2/5 - 639*t/5 - 159/5.
-3*(t + 1)**4*(t + 53)/5
Determine l, given that 49*l**4 - 77*l**3 + 9*l**2 + 17*l + 2 = 0.
-2/7, -1/7, 1
Factor 5*v