33*c**4 + 171*c**3 + 162*c**2 + 24*c.
3*c*(c + 1)*(c + 4)*(11*c + 2)
Determine k, given that 12*k**3 - 70*k**2 + 48*k + 10 = 0.
-1/6, 1, 5
Suppose 3*x**3/5 - 129*x**2/5 + 693*x/5 - 999/5 = 0. What is x?
3, 37
Factor 3*d**3 - 219*d + 216.
3*(d - 8)*(d - 1)*(d + 9)
Factor h**4/3 + 6*h**3 + 121*h**2/3 + 120*h + 400/3.
(h + 4)**2*(h + 5)**2/3
Factor -5*d**5 + 35*d**4 - 50*d**3.
-5*d**3*(d - 5)*(d - 2)
Find w such that -4*w**5/7 - 412*w**4/7 - 9080*w**3/7 + 78136*w**2/7 - 177540*w/7 + 108900/7 = 0.
-55, 1, 3
Let -2*m**3 - 126*m**2 - 1920*m + 2048 = 0. Calculate m.
-32, 1
Suppose 2160*o**5/7 - 27436*o**4/7 - 1220*o**3 + 2152*o**2/7 + 416*o/7 = 0. What is o?
-2/5, -4/27, 0, 1/4, 13
Determine k, given that -4*k**4/5 + 32*k**3/5 - 68*k**2/5 + 8*k = 0.
0, 1, 2, 5
Determine m, given that -2*m**3 + 10*m**2 + 26*m + 14 = 0.
-1, 7
Solve -7*p**3 + 79*p**2 - 92*p + 20 = 0.
2/7, 1, 10
Determine f, given that -15*f**3 - 235*f**2 + 90*f + 160 = 0.
-16, -2/3, 1
Solve o**4 + 19*o**3 + 50*o**2 + 32*o = 0 for o.
-16, -2, -1, 0
Factor 2*h**2 + 102*h + 688.
2*(h + 8)*(h + 43)
Factor 5*k**4 + 50*k**3 + 140*k**2 + 30*k - 225.
5*(k - 1)*(k + 3)**2*(k + 5)
Factor 3*m**3 - 78*m**2.
3*m**2*(m - 26)
Determine h so that -21*h**5 - 111*h**4 + 432*h**3 - 204*h**2 - 96*h = 0.
-8, -2/7, 0, 1, 2
Solve 5*y**5 + 45*y**4 - 125*y**3 - 125*y**2 + 420*y - 220 = 0 for y.
-11, -2, 1, 2
Find o, given that -5*o**2 + 320*o - 4875 = 0.
25, 39
Determine f so that -7*f**5/10 - 103*f**4/10 + 197*f**3/5 - 178*f**2/5 + 36*f/5 = 0.
-18, 0, 2/7, 1, 2
Determine c, given that 4*c**5 + 22*c**4 + 36*c**3 + 8*c**2 - 16*c = 0.
-2, 0, 1/2
Suppose 108*z**5 + 57*z**4 - 153*z**3 - 51*z**2 + 45*z - 6 = 0. Calculate z.
-1, 2/9, 1/4, 1
Factor u**2 + 61*u - 62.
(u - 1)*(u + 62)
Determine s, given that 735*s**5 + 6594*s**4 + 11085*s**3 + 6846*s**2 + 1788*s + 168 = 0.
-7, -1, -2/5, -2/7
Find d, given that -2*d**4/5 - 104*d**3/5 - 1244*d**2/5 + 2808*d/5 - 1458/5 = 0.
-27, 1
Factor -4*o**2/3 - 46*o/3.
-2*o*(2*o + 23)/3
Find t, given that 156*t**4 - 1250*t**3 + 2668*t**2 - 1594*t + 20 = 0.
1/78, 1, 2, 5
Factor 2*o**3/9 - 76*o**2/9 + 70*o/9 + 148/9.
2*(o - 37)*(o - 2)*(o + 1)/9
Solve -z**5 + 6*z**4 + 7*z**3 = 0 for z.
-1, 0, 7
Find d, given that 28*d**5 - 192*d**4 - 812*d**3 - 672*d**2 - 80*d = 0.
-2, -1, -1/7, 0, 10
Factor -44*v**3 + 448*v**2 - 476*v + 72.
-4*(v - 9)*(v - 1)*(11*v - 2)
Let 4*j**3/7 + 13*j**2 + 42*j + 171/7 = 0. What is j?
-19, -3, -3/4
Factor -b**3/4 + 1589*b**2/4 - 158006*b + 157609.
-(b - 794)**2*(b - 1)/4
Find k, given that 5*k**2 + 305*k + 2940 = 0.
-49, -12
Determine q so that -14*q**4/19 - 318*q**3/19 + 106*q**2/19 + 318*q/19 - 92/19 = 0.
-23, -1, 2/7, 1
Solve 26*l**5 - 1140*l**4 + 12382*l**3 + 3076*l**2 - 12408*l - 1936 = 0 for l.
-1, -2/13, 1, 22
Let z**4 + 15*z**3 + 59*z**2 + 45*z = 0. Calculate z.
-9, -5, -1, 0
Let 5*u**5/2 + 15*u**4 + 30*u**3 + 25*u**2 + 15*u/2 = 0. Calculate u.
-3, -1, 0
Find h, given that -2*h**4 - 152*h**3 - 4296*h**2 - 53504*h - 247808 = 0.
-22, -16
Determine m so that -15*m**5 + 129*m**4 - 306*m**3 + 96*m**2 + 96*m = 0.
-2/5, 0, 1, 4
Factor -p**2/7 + 212*p/7 - 211/7.
-(p - 211)*(p - 1)/7
Factor -2*y**3 + 48*y**2 + 104*y.
-2*y*(y - 26)*(y + 2)
Factor 9*b**2/4 + 51*b/8.
3*b*(6*b + 17)/8
Factor 20*u**4 + 8*u**3 - 20*u**2 - 8*u.
4*u*(u - 1)*(u + 1)*(5*u + 2)
Determine a so that -114*a**5 + 339*a**4 + 465*a**3 + 12*a**2 = 0.
-1, -1/38, 0, 4
Find w such that -25*w**4/2 + 95*w**3/2 - 55*w**2/2 - 15*w/2 = 0.
-1/5, 0, 1, 3
Let -2*r**5/23 + 38*r**4/23 - 128*r**3/23 - 168*r**2/23 = 0. What is r?
-1, 0, 6, 14
Factor -3*m**4 - 39*m**3 - 30*m**2 + 72*m.
-3*m*(m - 1)*(m + 2)*(m + 12)
Factor r**3/8 - 73*r**2/8 - r/8 + 73/8.
(r - 73)*(r - 1)*(r + 1)/8
Factor 7*k**4 - 131*k**3 + 88*k**2 + 36*k.
k*(k - 18)*(k - 1)*(7*k + 2)
What is m in -5*m**2 + 300*m - 4375 = 0?
25, 35
Determine r, given that 2*r**5 + 22*r**4 - 188*r**3 + 284*r**2 + 186*r - 306 = 0.
-17, -1, 1, 3
Solve 3*r**5/7 - 864*r**4/7 + 62208*r**3/7 = 0 for r.
0, 144
Determine h, given that h**4 + 11*h**3 - 4*h**2 - 44*h = 0.
-11, -2, 0, 2
Find s such that -4*s**5 + 42*s**4 + 24*s**3 - 22*s**2 = 0.
-1, 0, 1/2, 11
Suppose v**4/2 + 38*v**3 - 411*v**2/2 - 243*v = 0. What is v?
-81, -1, 0, 6
Factor -507*y**3/4 - 195*y**2/4 + 66*y - 12.
-3*(y + 1)*(13*y - 4)**2/4
Find x such that -4*x**4 - 24*x**3 - 48*x**2 - 32*x = 0.
-2, 0
Determine j so that 15*j**2 + 1465*j - 490 = 0.
-98, 1/3
Let -2*v**2/3 + 16*v/9 + 2/3 = 0. Calculate v.
-1/3, 3
Suppose 5*r**5 + 210*r**4 + 365*r**3 - 1380*r**2 + 800*r = 0. Calculate r.
-40, -4, 0, 1
Factor -2*d**2 - 548*d - 1088.
-2*(d + 2)*(d + 272)
Factor -2*b**3/5 - 2*b**2/5 + 112*b/5 - 288/5.
-2*(b - 4)**2*(b + 9)/5
Factor 3*t**4 + 9102*t**3 + 9208188*t**2 + 3109292082*t + 3100092993.
3*(t + 1)*(t + 1011)**3
Factor 18*n**2 - 14*n - 4.
2*(n - 1)*(9*n + 2)
Factor -4*i**4/5 - 8*i**3/5 + 192*i**2/5.
-4*i**2*(i - 6)*(i + 8)/5
Factor f**2/4 + 15*f/4 - 17/2.
(f - 2)*(f + 17)/4
Determine s, given that -35*s**4 + 7430*s**3 + 12860*s**2 - 4280*s = 0.
-2, 0, 2/7, 214
Suppose f**4/4 + f**3/2 - 7*f**2/4 + f = 0. Calculate f.
-4, 0, 1
Factor -w**4 - 224*w**3 + 451*w**2 - 226*w.
-w*(w - 1)**2*(w + 226)
Find p such that -7442*p**2/3 + 244*p - 6 = 0.
3/61
Find o, given that -4*o**5/5 + 156*o**4/5 - 192*o**3 + 2096*o**2/5 - 1536*o/5 = 0.
0, 2, 3, 32
Find u, given that 5*u**4 - 35*u**3 + 60*u**2 + 20*u - 80 = 0.
-1, 2, 4
Suppose 3*r**5 + 10*r**4 - 29*r**3 - 16*r**2 + 20*r = 0. Calculate r.
-5, -1, 0, 2/3, 2
Suppose 3*q**2 - 8070*q + 8067 = 0. What is q?
1, 2689
Factor 9*l**3/5 + 167*l**2/5 - 1426*l/5 + 120.
(l - 6)*(l + 25)*(9*l - 4)/5
Factor 35*q**2 + 1285*q - 370.
5*(q + 37)*(7*q - 2)
Factor -343*d**3/6 - 245*d**2/2 - 175*d/2 - 125/6.
-(7*d + 5)**3/6
Factor -975*n**2 + 9*n.
-3*n*(325*n - 3)
What is c in 3*c**4/4 + 249*c**3/2 - 3*c**2/4 - 249*c/2 = 0?
-166, -1, 0, 1
Let -2*d**2 + 692*d - 59858 = 0. What is d?
173
Solve 4*l**3/7 - 1020*l**2/7 + 9216*l + 65536/7 = 0.
-1, 128
Determine o so that 6*o**4/11 - 8*o**3/11 - 6*o**2/11 + 8*o/11 = 0.
-1, 0, 1, 4/3
Suppose 3*m**3 - 27*m**2 + 24*m = 0. Calculate m.
0, 1, 8
Factor -4*c**4 - 220*c**3 + 1492*c**2 + 1708*c.
-4*c*(c - 7)*(c + 1)*(c + 61)
Suppose 2*v**4/13 + 14*v**3/13 - 6*v**2 + 106*v/13 - 44/13 = 0. Calculate v.
-11, 1, 2
Determine x, given that -3*x**3/2 - 54*x**2 + 234*x - 240 = 0.
-40, 2
Let 22*d**3/17 - 2076*d**2/17 - 1338*d/17 + 760/17 = 0. Calculate d.
-1, 4/11, 95
Factor -8*a**3 - 318*a**2 + 80*a.
-2*a*(a + 40)*(4*a - 1)
Solve 48*n**4/5 + 57*n**3 + 414*n**2/5 - 27*n/5 = 0.
-3, 0, 1/16
Determine p so that -4*p**2 + 172*p + 2376 = 0.
-11, 54
Factor 2*y**2/7 + 27140*y/7 + 92072450/7.
2*(y + 6785)**2/7
What is w in -w**3 + 137*w**2 - 3210*w = 0?
0, 30, 107
Suppose 5*d**4 + 175*d**3 - 185*d**2 - 175*d + 180 = 0. Calculate d.
-36, -1, 1
Determine g, given that 2*g**5 - 16*g**4/5 - 48*g**3/5 + 64*g**2/5 + 32*g/5 = 0.
-2, -2/5, 0, 2
Factor 3*i**3/4 - 117*i**2 + 927*i/4 - 231/2.
3*(i - 154)*(i - 1)**2/4
Suppose 9*d**5/2 - 39*d**4 + 90*d**3 - 33*d**2 - 45*d/2 = 0. Calculate d.
-1/3, 0, 1, 3, 5
Factor -m**3/4 - 429*m**2/4 + m/4 + 429/4.
-(m - 1)*(m + 1)*(m + 429)/4
Solve 4*z**3 - 412*z**2 - 840*z = 0 for z.
-2, 0, 105
Factor -2*p**2/13 - 7700*p/13 - 7411250/13.
-2*(p + 1925)**2/13
Factor 4*z**5 - 40*z**4 + 132*z**3 - 160*z**2 + 64*z.
4*z*(z - 4)**2*(z - 1)**2
Let -2*b**4/3 + 166*b**3/3 + 172*b**2 = 0. What is b?
-3, 0, 86
Let j**4/4 - j**3/4 - j**2/2 = 0. Calculate j.
-1, 0, 2
Find i such that -i**5/3 - 44*i**4/3 - 55*i**3 - 202*i**2/3 - 80*i/3 = 0.
-40, -2, -1, 0
Factor 5*v**5 - 10*v**4 + 10*v**2 - 5*v.
5*v*(v - 1)**3*(v + 1)
Factor 4*u**4 + 1380*u**3.
4*u**3*(u + 345)
Suppose -y**3 + 1245*y**2 = 0. What is y?
0, 1245
Factor 2*i**3/7 - 34*i**2/7 + 26*i - 42.
2*(i - 7)**2*(i - 3)/7
Factor 4*v**2 - 16*v - 48.
4*(v - 6)*(v + 2)
Factor -l**3/2 - 42*l**2 - 395*l/2.
-l*(l + 5)*(l + 79)/2
Find j such that 3*j**2 + 69*j - 72 = 0.
-24, 1
Determine l so that 4*l**2/5 + 64*l/5 - 68/5 = 0.
-17, 1
Factor -5*o**2 - 275*o - 270.
-5*(o + 1)*(o + 54)
Factor -4*k**5 + 220*k**4 + 696*k**3.
-4*k**3*(k - 58)*(k + 3)
Determine d, given that -6*d**3/11 - 20*d**2/11 - 16*d/11 = 0.
-2, -4/3, 0
Factor f**2/5 - 1186*f + 1758245.
(f - 2965)**2/5
Suppose u**2 - 288*u + 572 = 0. What is u?
2, 286
Find m