9 + 8*t**3/3 - 137*t**2/9 - 2*t/3 = 0. Calculate t.
-3, -1/23, 0, 2
Factor -10*g**2 - 325*g - 1260.
-5*(g + 28)*(2*g + 9)
Solve r**3/5 - 552*r**2/5 + 2196*r/5 - 2192/5 = 0 for r.
2, 548
Factor 3*k**3 + 195*k**2 + 3201*k + 15609.
3*(k + 11)**2*(k + 43)
Let 2*k**3/3 - 178*k**2/3 + 520*k/3 - 344/3 = 0. Calculate k.
1, 2, 86
Find x such that -3*x**3/2 - 90*x**2 - 987*x/2 - 405 = 0.
-54, -5, -1
Determine a, given that -2*a**3 - 178*a**2 + 744*a = 0.
-93, 0, 4
Factor 16*k**5/3 + 352*k**4/3 + 1748*k**3/3 - 2116*k**2/3.
4*k**2*(k - 1)*(2*k + 23)**2/3
Factor 4*p**2 - 148*p + 144.
4*(p - 36)*(p - 1)
Let -b**5/4 + 147*b**4/4 - 1404*b**3 + 3888*b**2 = 0. Calculate b.
0, 3, 72
Factor w**2/4 - 5143*w/2 + 26450449/4.
(w - 5143)**2/4
Factor -3*u**3 - 69*u**2 - 126*u.
-3*u*(u + 2)*(u + 21)
Determine d, given that 2*d**4/5 - 68*d**3/5 - 1008*d**2/5 + 58212*d/5 - 537138/5 = 0.
-29, 21
Solve 2*l**5/3 + 8*l**4/3 - 2*l**3/3 - 32*l**2/3 - 8*l = 0.
-3, -2, -1, 0, 2
Factor 4*w**2/3 - 1720*w/3 + 184900/3.
4*(w - 215)**2/3
Factor 5*m**4 + 510*m**3 + 13005*m**2.
5*m**2*(m + 51)**2
Factor -s**5/4 - 5*s**4/4 - 3*s**3/4 + 9*s**2/4.
-s**2*(s - 1)*(s + 3)**2/4
Determine b so that 2*b**3 + 270*b**2 - 1104*b + 1112 = 0.
-139, 2
Factor -2*s**2/3.
-2*s**2/3
Factor 3*x**3/7 + 96*x**2/7 - 423*x/7 + 324/7.
3*(x - 3)*(x - 1)*(x + 36)/7
Factor 3*i**3 + 411*i**2 - 843*i - 1251.
3*(i - 3)*(i + 1)*(i + 139)
Factor -u**5 - 30*u**4 + 34*u**3 + 88*u**2 - 153*u + 62.
-(u - 1)**3*(u + 2)*(u + 31)
Suppose -2*p**2 - 32*p = 0. What is p?
-16, 0
Determine x so that 5*x**4 - 70*x**3 + 300*x**2 - 360*x = 0.
0, 2, 6
Solve 21*a**5 - 6*a**4 - 210*a**3 + 60*a**2 + 189*a - 54 = 0 for a.
-3, -1, 2/7, 1, 3
Factor -2*p**4/5 - 8*p**3 - 284*p**2/5 - 168*p - 882/5.
-2*(p + 3)**2*(p + 7)**2/5
Solve 2*t**4 + 34*t**3 + 30*t**2 - 34*t - 32 = 0 for t.
-16, -1, 1
Factor -12*s**3 - 3584*s**2/3 - 88400*s/3 + 40000/3.
-4*(s + 50)**2*(9*s - 4)/3
Factor -4*p**4 - 152*p**3 - 1828*p**2 - 7296*p - 9216.
-4*(p + 3)**2*(p + 16)**2
Factor 5*s**2 - 30*s + 40.
5*(s - 4)*(s - 2)
Suppose -3*f**2 - 9*f = 0. What is f?
-3, 0
Determine t so that -3*t**4/7 - 12*t**3/7 + 123*t**2/7 - 108*t/7 = 0.
-9, 0, 1, 4
What is g in g**2 - 248*g = 0?
0, 248
Solve -4*r**4 + 40*r**3 - 96*r**2 - 40*r + 100 = 0.
-1, 1, 5
Let 4*t**4 - 16*t**2 = 0. What is t?
-2, 0, 2
Factor -k**2/2 + 25*k/2 + 75.
-(k - 30)*(k + 5)/2
Suppose -k**2/3 - 220*k/3 = 0. Calculate k.
-220, 0
Factor -2*f**3/11 + 70*f**2/11 - 64*f + 1536/11.
-2*(f - 16)**2*(f - 3)/11
Let 5*i**2 + 2900*i + 420500 = 0. Calculate i.
-290
Find f, given that 2*f**3 - 12*f**2 - 72*f + 432 = 0.
-6, 6
Let 6*m**2/19 - 2342*m/19 + 780/19 = 0. Calculate m.
1/3, 390
Factor -50581682*s**2/5 - 20116*s/5 - 2/5.
-2*(5029*s + 1)**2/5
Factor 5*c**2 - 5*c - 30.
5*(c - 3)*(c + 2)
What is g in -3*g**5 + 39*g**4 + 6*g**3 - 78*g**2 - 3*g + 39 = 0?
-1, 1, 13
Factor p**3/3 + 22*p**2 - 136*p/3.
p*(p - 2)*(p + 68)/3
Determine d so that 4*d**3 - 172*d**2 + 784*d - 912 = 0.
2, 3, 38
Factor 2*y**2/17 + 568*y/17.
2*y*(y + 284)/17
Determine v, given that 2*v**5/9 - 44*v**4/3 - 416*v**3/9 + 44*v**2/3 + 46*v = 0.
-3, -1, 0, 1, 69
Solve 4*a**3 + 4308*a**2 + 1157772*a - 1162084 = 0.
-539, 1
Factor -3*j**3 - 39*j**2 - 126*j.
-3*j*(j + 6)*(j + 7)
Factor 44*y**3 + 608*y**2 + 460*y - 104.
4*(y + 1)*(y + 13)*(11*y - 2)
Factor f**3/5 - 4*f/5.
f*(f - 2)*(f + 2)/5
Factor -b**2 - 74*b + 75.
-(b - 1)*(b + 75)
Find m such that 5*m**5 - 35*m**4 + 75*m**3 - 45*m**2 = 0.
0, 1, 3
Factor h**3/6 - 5*h**2/6 - 13*h/6 - 7/6.
(h - 7)*(h + 1)**2/6
Suppose 2*t**2/13 + 24*t/13 + 64/13 = 0. What is t?
-8, -4
Solve -5*b**4 - 10*b**3 + 65*b**2 + 70*b - 120 = 0.
-4, -2, 1, 3
Determine n so that -162*n**5 - 1710*n**4 - 4886*n**3 - 1618*n**2 + 1520*n - 200 = 0.
-5, -1, 2/9
Factor -2*j**2/9 + 40*j/3 + 248/9.
-2*(j - 62)*(j + 2)/9
Solve -4*t**4 + 30*t**3 = 0.
0, 15/2
Find n, given that 2*n**3/7 + 244*n**2/7 - 250*n/7 - 492/7 = 0.
-123, -1, 2
Find v such that 2*v**5 + 2*v**4 - 68*v**3 - 8*v**2 + 240*v = 0.
-6, -2, 0, 2, 5
Find c such that -2*c**3 - 86*c**2 - 392*c - 456 = 0.
-38, -3, -2
What is b in -2*b**2/3 - 26*b/3 + 136/3 = 0?
-17, 4
Find j, given that -2523*j**2/2 - 58*j - 2/3 = 0.
-2/87
Suppose 8*q**2 + 46*q + 30 = 0. What is q?
-5, -3/4
Factor -36*q**2 + 2384*q - 528.
-4*(q - 66)*(9*q - 2)
Suppose -s**2/3 - 2*s + 16/3 = 0. Calculate s.
-8, 2
Factor -10*f**2/9 + 82*f/3 + 100/9.
-2*(f - 25)*(5*f + 2)/9
Determine p so that -p**5/3 + 47*p**4/3 - 643*p**3/3 + 619*p**2 + 1344*p - 1764 = 0.
-2, 1, 6, 21
What is h in h**4/3 + 13*h**3/3 - 2*h**2/3 - 88*h = 0?
-11, -6, 0, 4
Suppose -3*k**3 + 159*k**2 - 309*k + 153 = 0. What is k?
1, 51
Factor -2*f**3 - 122*f**2 - 2128*f - 7840.
-2*(f + 5)*(f + 28)**2
Find y, given that 2*y**3 + 80*y**2 - 8*y - 320 = 0.
-40, -2, 2
What is n in -3*n**3 + 69*n**2 + 3*n - 69 = 0?
-1, 1, 23
Factor 2*y**2/17 + 14*y/17 + 12/17.
2*(y + 1)*(y + 6)/17
Factor 3*i**3/4 - 15*i**2 - 201*i/4 - 69/2.
3*(i - 23)*(i + 1)*(i + 2)/4
Factor 4*f**4 + 900*f**3 + 892*f**2 - 900*f - 896.
4*(f - 1)*(f + 1)**2*(f + 224)
Factor 5*a**4 + 605*a**3 - 610*a**2.
5*a**2*(a - 1)*(a + 122)
Factor y**5 + 6*y**4 - 27*y**3 - 112*y**2 + 276*y - 144.
(y - 4)*(y - 1)**2*(y + 6)**2
Factor 10*p**3/7 + 86*p**2/7 + 104*p/7 - 8.
2*(p + 2)*(p + 7)*(5*p - 2)/7
Solve 3*l**3 - 75*l**2 - 450*l = 0.
-5, 0, 30
Factor -2*o**2/9 - 10*o/3 - 88/9.
-2*(o + 4)*(o + 11)/9
Factor 3*l**4/2 - 6*l**2.
3*l**2*(l - 2)*(l + 2)/2
Let 3*y**2 + 15*y - 252 = 0. What is y?
-12, 7
Factor 5*o**3 - 225*o**2 - 470*o.
5*o*(o - 47)*(o + 2)
Let v**2/3 + 185*v/3 + 184/3 = 0. Calculate v.
-184, -1
Factor 3*j**5/7 + 24*j**4/7 + 3*j**3.
3*j**3*(j + 1)*(j + 7)/7
Factor w**4/7 - 71*w**3/7 + 10*w**2.
w**2*(w - 70)*(w - 1)/7
Factor -2*j**3/19 + 16*j**2/19 + 18*j/19.
-2*j*(j - 9)*(j + 1)/19
Determine l so that -2*l**4/11 + 68*l**3/11 - 618*l**2/11 + 2080*l/11 - 200 = 0.
2, 5, 22
Suppose -4*s**2 + 160*s + 336 = 0. Calculate s.
-2, 42
Let -s**5/5 - 27*s**4 - 1031*s**3/5 - 1897*s**2/5 + 1032*s/5 + 2032/5 = 0. Calculate s.
-127, -4, -1, 1
Factor 5*a**4 + 5*a**3 - 5*a**2 - 5*a.
5*a*(a - 1)*(a + 1)**2
Factor c**3/6 + 25*c**2/6 + 69*c/2 + 189/2.
(c + 7)*(c + 9)**2/6
Factor -2*s**3/17 - 150*s**2/17 + 2*s/17 + 150/17.
-2*(s - 1)*(s + 1)*(s + 75)/17
Determine u, given that 4*u**2 + 44*u - 240 = 0.
-15, 4
Find h, given that 206*h**5 + 614*h**4 + 400*h**3 - 8*h**2 = 0.
-2, -1, 0, 2/103
Suppose -156025*x**2/4 - 1185*x/2 - 9/4 = 0. What is x?
-3/395
Suppose 36*r**2/7 + 20*r/7 = 0. Calculate r.
-5/9, 0
Factor -2*a**5/7 - 32*a**4/7 - 170*a**3/7 - 300*a**2/7.
-2*a**2*(a + 5)**2*(a + 6)/7
Factor -2*d**4/9 - 4*d**3/9 + 2*d**2/3.
-2*d**2*(d - 1)*(d + 3)/9
Let -2*u**2/5 - 696*u/5 + 698/5 = 0. What is u?
-349, 1
Find b, given that 5*b**4 + 15*b**3 - 20*b**2 = 0.
-4, 0, 1
Factor -h**3 + 42*h**2 - 80*h.
-h*(h - 40)*(h - 2)
Find b, given that 2*b**3/9 - 1768*b**2/9 + 394240*b/9 - 1548800/9 = 0.
4, 440
Factor 2*x**2/7 + 58*x/7 + 156/7.
2*(x + 3)*(x + 26)/7
Factor -c**2/3 - 1010*c/3 - 255025/3.
-(c + 505)**2/3
What is m in -5*m**5/9 + 83*m**4/9 - 61*m**3/3 + m**2/9 + 188*m/9 - 28/3 = 0?
-1, 3/5, 1, 2, 14
Factor -5*p**5 + 5*p**4 + 5*p**3 - 5*p**2.
-5*p**2*(p - 1)**2*(p + 1)
Suppose 2*c**4/9 + 44*c**3/9 + 136*c**2/9 - 176*c/9 - 64 = 0. What is c?
-18, -4, -2, 2
Solve -q**3/3 - 619*q**2/3 + 1241*q/3 - 207 = 0.
-621, 1
Factor 10*b**2/7 + 74*b/7 + 4.
2*(b + 7)*(5*b + 2)/7
Find d such that 3*d**4/8 - 9*d**3 + 381*d**2/8 + 9*d - 48 = 0.
-1, 1, 8, 16
Determine f, given that 3*f**4 - 42*f**3 + 39*f**2 + 432*f - 432 = 0.
-3, 1, 4, 12
Factor -2*w**4 - 8*w**3 - 6*w**2 + 8*w + 8.
-2*(w - 1)*(w + 1)*(w + 2)**2
Suppose -q**2 + 66*q - 65 = 0. Calculate q.
1, 65
Find j, given that -979*j**2/3 - 327*j - 2/3 = 0.
-1, -2/979
Factor -2*j**3 + 6*j - 4.
-2*(j - 1)**2*(j + 2)
Suppose -4*f**5 + 32*f**4 - 96*f**3 + 136*f**2 - 92*f + 24 = 0. What is f?
1, 2, 3
Factor -3*z**2/2 + 23*z/2 + 4.
-(z - 8)*(3*z + 1)/2
Factor 4*o**2 - 2360*o + 348100.
4*(o - 295)**2
Factor -4*j**2 - 300*j + 304.
-4*(j - 1)*(j + 76)
Factor -2*g**3/3 - 838*g**2/3 - 89024*g/3 - 86528.
-2*(g + 3)*(g + 208)**2/3
Let -r**5/6 - 19*r**4/6 - 43*r**3/6 + 83*r**2/6 + 22*r/3 - 32/3 = 0. What is r?
-16, -4, -1, 1
Factor m**3/4 - 3*m**2.
m**2*(m - 12)/4
Let 7*v**2 + 15*v - 18 = 0. What is v?
-3, 6/7
Facto