+ 10)**2
Solve -r**4/4 - 7*r**3/4 + 11*r**2/2 + 7*r - 18 = 0.
-9, -2, 2
Let 5*t**4 + 350*t**3 + 1345*t**2 + 1660*t + 660 = 0. Calculate t.
-66, -2, -1
Factor r**5/4 - 3*r**4/4 - 7*r**3/4 + 7*r**2/4 + 9*r/2 + 2.
(r - 4)*(r - 2)*(r + 1)**3/4
Determine a so that 9*a**5/2 + 102*a**4 + 121*a**3/2 - 123*a**2 - 42*a + 44 = 0.
-22, -1, 2/3
Suppose -7*f**5/2 + 179*f**4/4 - 267*f**3/4 - 113*f**2/4 + 281*f/4 - 33/2 = 0. Calculate f.
-1, 2/7, 1, 3/2, 11
Factor 2*a**5/3 - 218*a**4/3 - 442*a**3/3 - 74*a**2.
2*a**2*(a - 111)*(a + 1)**2/3
Let -6*c**4 - 39*c**3/2 + 3*c**2/2 + 39*c/2 + 9/2 = 0. What is c?
-3, -1, -1/4, 1
Factor -3*o**2 - 294*o - 7203.
-3*(o + 49)**2
Let 2*r**5/3 - 4*r**4/3 - 10*r**3 + 16*r**2/3 + 136*r/3 + 32 = 0. What is r?
-2, -1, 3, 4
Suppose -4*c**5 - 4*c**4 + 4*c**3 + 4*c**2 = 0. What is c?
-1, 0, 1
Factor 10*o**3/9 + 164*o**2/3 - 922*o/9 - 68/3.
2*(o - 2)*(o + 51)*(5*o + 1)/9
Factor 5*x**5 - 285*x**3 + 980*x**2 - 900*x.
5*x*(x - 5)*(x - 2)**2*(x + 9)
Find i such that -2*i**2/7 + 34*i/7 + 36/7 = 0.
-1, 18
Let 3*k**3/2 + 54*k**2 - 111*k/2 = 0. What is k?
-37, 0, 1
Determine t so that -5*t**5/2 - 5*t**4/2 + 205*t**3/2 + 545*t**2/2 - 20*t - 350 = 0.
-5, -2, 1, 7
Factor 5*h**3/3 - 740*h**2.
5*h**2*(h - 444)/3
Determine s so that -3*s**3/5 - 27*s**2/5 + 144*s/5 - 156/5 = 0.
-13, 2
Factor s**2 + 123*s/4 - 31/4.
(s + 31)*(4*s - 1)/4
Solve 270*f**3/7 + 528*f**2/7 + 248*f/7 + 32/7 = 0 for f.
-4/3, -2/5, -2/9
Determine q, given that 5*q**2 - 40*q + 75 = 0.
3, 5
Solve -3*t**2/4 + 45*t = 0.
0, 60
Factor -2*c**2/19 + 320*c/19 - 12800/19.
-2*(c - 80)**2/19
Factor -4*h**2 - 4*h + 48.
-4*(h - 3)*(h + 4)
Suppose 2*d**4 - 4*d**3 - 24*d**2 - 28*d - 10 = 0. What is d?
-1, 5
Solve q**5 + 7*q**4 + 11*q**3 - 7*q**2 - 12*q = 0.
-4, -3, -1, 0, 1
Let 3*b**3 + 6*b**2 - 15*b - 18 = 0. What is b?
-3, -1, 2
Solve -a**3 - 34*a**2/3 + 169*a/3 + 20 = 0 for a.
-15, -1/3, 4
Factor -3*j**3/8 - 3*j**2/4 + 33*j/8 + 9/2.
-3*(j - 3)*(j + 1)*(j + 4)/8
Solve -3*w**2 + 42*w = 0 for w.
0, 14
Factor -2*o**2/5 + 40*o + 440.
-2*(o - 110)*(o + 10)/5
Factor n**2 + 59*n + 58.
(n + 1)*(n + 58)
Solve -2*o**3 - 32*o**2 + 70*o - 36 = 0.
-18, 1
Factor -i**4/3 + 8*i**3/3 + 3*i**2.
-i**2*(i - 9)*(i + 1)/3
Factor -52*y**3 - 1112*y**2 - 2260*y + 1824.
-4*(y + 3)*(y + 19)*(13*y - 8)
Factor -5*p**4 - 100*p**3 - 270*p**2 - 260*p - 85.
-5*(p + 1)**3*(p + 17)
Factor 4*h**2 - 156*h + 680.
4*(h - 34)*(h - 5)
Factor -2*i**2 - 286*i + 580.
-2*(i - 2)*(i + 145)
Suppose t**2/4 + 3*t/2 - 10 = 0. Calculate t.
-10, 4
What is j in 5*j**4 + 5*j**3 - 30*j**2 = 0?
-3, 0, 2
What is f in f**3/4 - 33*f**2/4 + 59*f/4 + 93/4 = 0?
-1, 3, 31
Solve 3*a**2/4 + 27*a/2 + 51/4 = 0.
-17, -1
Factor 5*t**2 + 1270*t + 1265.
5*(t + 1)*(t + 253)
Determine c, given that -c**3/5 - 7*c**2 + 1272*c/5 - 8496/5 = 0.
-59, 12
Factor 2*g**2 - 470*g - 2892.
2*(g - 241)*(g + 6)
Find d, given that -2*d**5 - 18*d**4 - 62*d**3 - 102*d**2 - 80*d - 24 = 0.
-3, -2, -1
Factor -10*a**2/3 - 25*a - 35/3.
-5*(a + 7)*(2*a + 1)/3
Determine t, given that t**4/3 + 2*t**3 - 32*t/3 = 0.
-4, 0, 2
What is y in -35*y**4 - 80*y**3 + 15*y**2 + 80*y + 20 = 0?
-2, -1, -2/7, 1
Suppose -3*w**3 + 123*w**2 - 237*w + 117 = 0. Calculate w.
1, 39
Factor 2*u**2 - 590*u - 1188.
2*(u - 297)*(u + 2)
Factor 2*p**2 + 56*p - 120.
2*(p - 2)*(p + 30)
Find z such that z**2 + 165*z + 164 = 0.
-164, -1
Factor -3*j**4/5 - 8046*j**3/5 - 5402883*j**2/5 - 2156328*j - 1077360.
-3*(j + 1)**2*(j + 1340)**2/5
Factor -5*m**2 - 5210*m - 1357205.
-5*(m + 521)**2
Suppose 6*o**3/7 - 198*o**2/7 - 1872*o/7 - 3936/7 = 0. Calculate o.
-4, 41
Factor -z**3/4 - 15*z**2 - 29*z.
-z*(z + 2)*(z + 58)/4
Find v such that -25*v**4/7 + 5*v**3/7 + 16*v**2/7 + 4*v/7 = 0.
-2/5, 0, 1
Find m, given that 4*m**5 - 8*m**4 - 80*m**3 + 88*m**2 + 76*m - 80 = 0.
-4, -1, 1, 5
Factor 10*g**2 + 25*g - 15.
5*(g + 3)*(2*g - 1)
Factor 4*q**4 + 44*q**3 - 12*q**2 - 140*q - 88.
4*(q - 2)*(q + 1)**2*(q + 11)
Factor 5*n**2 + 840*n + 35280.
5*(n + 84)**2
Factor s**3/6 - 2557*s**2/2 + 6538249*s/2 - 16718302693/6.
(s - 2557)**3/6
Find d such that -3*d**2 + 75*d - 198 = 0.
3, 22
Suppose -5*s**2 - 65*s + 240 = 0. Calculate s.
-16, 3
Factor -7*n**5 - 54*n**4 - 1009*n**3/7 - 1080*n**2/7 - 400*n/7.
-n*(n + 1)**2*(7*n + 20)**2/7
Factor 5*y**5 + 80*y**4 + 315*y**3 - 80*y**2 - 320*y.
5*y*(y - 1)*(y + 1)*(y + 8)**2
Solve -21*l**3 + 405*l**2 - 1122*l + 288 = 0.
2/7, 3, 16
Find h such that 2*h**3/3 + 478*h**2/3 - 1936*h/3 + 648 = 0.
-243, 2
Determine i so that i**3/2 - 9*i**2/2 - 24*i - 26 = 0.
-2, 13
Factor -5*q**3 + 55*q**2 - 150*q.
-5*q*(q - 6)*(q - 5)
Determine g, given that 5*g**5 + 15*g**4 + 5*g**3 - 15*g**2 - 10*g = 0.
-2, -1, 0, 1
Factor -13894445*m**2 - 33340*m - 20.
-5*(1667*m + 2)**2
Factor -4*a**3/9 - 80*a**2/9 + 28*a/3.
-4*a*(a - 1)*(a + 21)/9
Suppose -2*m**4/15 + 14*m**3/5 + 2*m**2/5 - 26*m/3 + 28/5 = 0. Calculate m.
-2, 1, 21
Let -35*f**4 - 3280*f**3 - 5500*f**2 + 1840*f = 0. Calculate f.
-92, -2, 0, 2/7
Factor 4*d**3 - 4*d**2 - 8*d.
4*d*(d - 2)*(d + 1)
Factor -6750*x**4 + 44775*x**3 - 96390*x**2 + 61268*x + 39304/3.
-(6*x + 1)*(15*x - 34)**3/3
Factor 6*z**4 + 15*z**3 - 33*z**2 + 12*z.
3*z*(z - 1)*(z + 4)*(2*z - 1)
Determine k so that 13*k**5/2 - 54*k**4 + 297*k**3/2 - 135*k**2 = 0.
0, 30/13, 3
Factor -2*o**3/3 - 14*o**2/3 + 34*o/3 - 6.
-2*(o - 1)**2*(o + 9)/3
Suppose b**3/5 - 109*b**2/5 + 108*b/5 = 0. Calculate b.
0, 1, 108
Factor 2*d**2/15 + 274*d/15 + 768/5.
2*(d + 9)*(d + 128)/15
Factor 2*z**3/7 + 6*z**2/7 - 44*z/7 - 48/7.
2*(z - 4)*(z + 1)*(z + 6)/7
Factor 3*v**5 - 10*v**4 - 23*v**3 - 10*v**2.
v**2*(v - 5)*(v + 1)*(3*v + 2)
Suppose m**5 + 42*m**4 - 338*m**3 + 252*m**2 + 337*m - 294 = 0. What is m?
-49, -1, 1, 6
What is h in -2*h**2/7 - 36*h/7 - 64/7 = 0?
-16, -2
Let -4*l**2/3 - 5*l/3 + 2 = 0. Calculate l.
-2, 3/4
Let 3*p**2 - 3*p - 36 = 0. What is p?
-3, 4
Factor k**4 + 614*k**3 + 125460*k**2 + 8489050*k - 8615125.
(k - 1)*(k + 205)**3
Factor f**2 - 46*f/3 + 5.
(f - 15)*(3*f - 1)/3
Determine i so that 4*i**3/3 + 242*i**2/3 + 270*i + 228 = 0.
-57, -2, -3/2
Find z such that -4*z**5 + 28*z**4 + 76*z**3 - 28*z**2 - 72*z = 0.
-2, -1, 0, 1, 9
Determine d so that -2*d**2/9 - 26*d/9 + 32/3 = 0.
-16, 3
Suppose -d**2/4 - 63*d/2 - 125/4 = 0. Calculate d.
-125, -1
Factor 2*v**3/7 - 38*v**2/7 - 90*v/7 + 18.
2*(v - 21)*(v - 1)*(v + 3)/7
Let 3*k**3 + 30*k**2 + 27*k = 0. Calculate k.
-9, -1, 0
Find h, given that -3*h**3 + 3*h**2 + 90*h - 216 = 0.
-6, 3, 4
Find v, given that v**4 - 27*v**2 - 14*v + 120 = 0.
-4, -3, 2, 5
Factor -23*p**2/6 - 8*p/3.
-p*(23*p + 16)/6
Factor n**5/7 - n**4 - 330*n**3/7 - 1732*n**2/7 - 3272*n/7 - 2112/7.
(n - 24)*(n + 2)**3*(n + 11)/7
Factor -4*q**4 - 236*q**3 - 3596*q**2 - 3364*q.
-4*q*(q + 1)*(q + 29)**2
Factor -2*h**2 - 2*h + 40.
-2*(h - 4)*(h + 5)
Factor -1445*n**2 + 3230*n - 1805.
-5*(17*n - 19)**2
Suppose z**4/8 - 3*z**3/4 - 15*z**2 - 109*z/4 - 105/8 = 0. What is z?
-7, -1, 15
Let -3*t**3 + 81*t**2 - 204*t - 288 = 0. Calculate t.
-1, 4, 24
Factor -5*i**5 - 310*i**4 - 4700*i**3 - 21000*i**2.
-5*i**2*(i + 10)**2*(i + 42)
Determine t, given that -2*t**4/5 + 6*t**3/5 + 4*t**2 = 0.
-2, 0, 5
Factor 4*b**5/3 + 44*b**4/3 + 76*b**3/3 - 460*b**2/3 - 800*b/3 + 2000/3.
4*(b - 2)**2*(b + 5)**3/3
What is h in 2*h**3 - 7746*h**2 + 7503936*h - 7496192 = 0?
1, 1936
Factor i**2/4 + 11*i/2 - 126.
(i - 14)*(i + 36)/4
Find f, given that -2*f**4/5 + 4*f**3 + 74*f**2/5 + 52*f/5 = 0.
-2, -1, 0, 13
Determine o so that -3*o**3 - 3*o**2 = 0.
-1, 0
Factor -k**3 - 15*k**2 - 27*k - 13.
-(k + 1)**2*(k + 13)
Suppose -39*u**3/5 + 3009*u**2/5 + 516*u - 468/5 = 0. What is u?
-1, 2/13, 78
What is i in i**2/4 - 11*i/2 - 23/4 = 0?
-1, 23
Factor 2372*h**2 + 4736*h - 16.
4*(h + 2)*(593*h - 2)
Suppose 5*r**3 + 3070*r**2 = 0. What is r?
-614, 0
What is u in 2*u**4/11 - 30*u**3/11 + 50*u**2/11 + 30*u/11 - 52/11 = 0?
-1, 1, 2, 13
Solve -4*d**4 + 772*d**3 - 5268*d**2 + 11196*d - 6696 = 0 for d.
1, 3, 186
Suppose -2*c**5 + 6*c**4 + 24*c**3 - 104*c**2 + 96*c = 0. Calculate c.
-4, 0, 2, 3
Factor 35*m**2 + 45*m + 10.
5*(m + 1)*(7*m + 2)
Determine b, given that -b**2 + 203*b + 410 = 0.
-2, 205
Factor 4*o**4 - 356*o**3.
4*o**3*(o - 89)
Factor 4*s**5/7 + 32*s**4/7 + 80*s**3/7 + 64*s**2/7.
4*s**2*(s + 2)**2*(s + 4)/7
Let -12*n**5 - 296*n**4 - 5428*n**3/3 - 5936