 1)**2*(48*a - 5)/5
Determine m so that -5*m**3 + 60*m**2 - 225*m + 250 = 0.
2, 5
Let q**3/6 - 4*q**2/3 - 2*q/3 + 16/3 = 0. Calculate q.
-2, 2, 8
Factor -5*l**2 - 18030*l + 18035.
-5*(l - 1)*(l + 3607)
Factor -2*b**4 + 12*b**3 + 70*b**2 + 96*b + 40.
-2*(b - 10)*(b + 1)**2*(b + 2)
Find u, given that -2*u**2 - 1718*u - 1716 = 0.
-858, -1
Suppose 2*u**3 - 374*u**2 + 17670*u - 17298 = 0. What is u?
1, 93
Determine t, given that 4*t**2 - 1120*t + 78400 = 0.
140
Determine o, given that o**3 + 8*o**2 - 20*o = 0.
-10, 0, 2
Determine r, given that -r**4/3 - 2*r**3 + r**2/3 + 2*r = 0.
-6, -1, 0, 1
Factor -2*i**2/15 - 24*i/5 - 448/15.
-2*(i + 8)*(i + 28)/15
Determine j, given that 4*j**3 + 76*j**2 - 52*j - 4732 = 0.
-13, 7
Suppose -5*l**2 - 1770*l = 0. What is l?
-354, 0
Suppose -l**3 + 298*l**2 - 21900*l - 45000 = 0. What is l?
-2, 150
Determine i so that 4*i**2 - 6940*i - 6944 = 0.
-1, 1736
Find t, given that -37*t**4 - 38*t**3 - t**2 = 0.
-1, -1/37, 0
Factor 2*a**3/25 + 428*a**2/25 + 848*a/25.
2*a*(a + 2)*(a + 212)/25
Factor 5*q**2 - 365*q + 360.
5*(q - 72)*(q - 1)
Factor 4*j**2 - 40*j + 36.
4*(j - 9)*(j - 1)
Find b, given that -3*b**2 - 318*b - 8427 = 0.
-53
Factor y**2/8 - 27*y/4 + 53/8.
(y - 53)*(y - 1)/8
Factor 8*g**2 - 126*g + 90.
2*(g - 15)*(4*g - 3)
Factor 60*q**3 + 8*q**2 - 60*q - 8.
4*(q - 1)*(q + 1)*(15*q + 2)
Determine l so that 4*l**3 + 88*l**2 + 365*l + 425 = 0.
-17, -5/2
What is f in 4*f**4/3 + 32*f**3/3 - 120*f**2 + 288*f - 180 = 0?
-15, 1, 3
Factor 25*d**2 + 235*d + 210.
5*(d + 1)*(5*d + 42)
Factor s**3/6 + s**2/2 - 13*s/6 - 5/2.
(s - 3)*(s + 1)*(s + 5)/6
Factor 4*w**5 - 4*w**4 - 4*w**3 + 4*w**2.
4*w**2*(w - 1)**2*(w + 1)
Factor 8*t**5/13 + 18*t**4/13 + 12*t**3/13 + 2*t**2/13.
2*t**2*(t + 1)**2*(4*t + 1)/13
Find q such that -16*q**4/7 - 4*q**3/7 + 144*q**2/7 + 36*q/7 = 0.
-3, -1/4, 0, 3
Factor -v**2/2 + 1317*v/2.
-v*(v - 1317)/2
Find v such that -7*v**5/6 + 51*v**4/2 + 63*v**3/2 - 109*v**2/6 - 23*v = 0.
-1, 0, 6/7, 23
Determine q so that 8*q**2/13 - 362*q/13 + 90/13 = 0.
1/4, 45
Let v**5 - 764*v**4 + 218886*v**3 - 27871484*v**2 + 1330863361*v = 0. What is v?
0, 191
Let -2*j**2/3 + 4*j - 10/3 = 0. Calculate j.
1, 5
Factor -2*a**5/5 + 4*a**4 - 12*a**3 + 54*a - 324/5.
-2*(a - 3)**4*(a + 2)/5
Factor w**4/3 - 14*w**3/3 + 16*w**2 - 6*w - 27.
(w - 9)*(w - 3)**2*(w + 1)/3
Factor x**4 - 24*x**3 + 87*x**2 + 700*x + 588.
(x - 14)**2*(x + 1)*(x + 3)
Solve 3*i**3 + 6903*i**2/7 - 1272*i + 1980/7 = 0 for i.
-330, 2/7, 1
Factor 2*u**3/15 + 26*u**2/5 + 96*u/5 + 56/3.
2*(u + 2)**2*(u + 35)/15
Determine c, given that -2*c**5/7 + 40*c**4/7 - 218*c**3/7 + 508*c**2/7 - 536*c/7 + 208/7 = 0.
1, 2, 13
Factor -r**2/7 + 86*r/7.
-r*(r - 86)/7
Factor 2*q**5/7 + 1160*q**4/7 + 3468*q**3/7 + 3464*q**2/7 + 1154*q/7.
2*q*(q + 1)**3*(q + 577)/7
Factor 3*u**4 + 12*u**3 - 33*u**2 + 18*u.
3*u*(u - 1)**2*(u + 6)
Find j such that -10*j**2 + 536*j + 216 = 0.
-2/5, 54
Factor -3*m**5/5 + 72*m**4/5 - 603*m**3/5 + 426*m**2 - 3348*m/5 + 1944/5.
-3*(m - 9)**2*(m - 2)**3/5
Factor i**4/6 - i**3/6 - 5*i**2/6 - i/2.
i*(i - 3)*(i + 1)**2/6
Solve -2*c**4/3 - 118*c**3/3 - 286*c**2 - 726*c - 612 = 0.
-51, -3, -2
Let i**4/2 + 27*i**3 - 675*i**2/8 + 511*i/8 - 57/4 = 0. Calculate i.
-57, 1/2, 2
Factor o**2/4 + 4*o + 12.
(o + 4)*(o + 12)/4
What is j in -9*j**5 + 95*j**4/4 + 127*j**3/2 - 207*j**2/4 - 49*j/2 - 2 = 0?
-2, -1/4, -1/9, 1, 4
Find g such that g**3/5 + 78*g**2/5 + 288*g - 640 = 0.
-40, 2
Let 4*f**2/7 + 244*f/7 - 1040/7 = 0. What is f?
-65, 4
Find d such that -12*d**3 + 26960*d**2 - 15151516*d + 10089032 = 0.
2/3, 1123
Find o such that 3*o**3/5 + 24*o**2/5 - 93*o/5 + 66/5 = 0.
-11, 1, 2
Factor -4*j**2 + 196*j - 1176.
-4*(j - 42)*(j - 7)
Solve -b**5 - 4*b**4 - b**3 + 10*b**2 + 4*b - 8 = 0 for b.
-2, 1
Determine i so that -i**3/5 + 26*i**2/5 - 49*i/5 + 24/5 = 0.
1, 24
Find w, given that -4*w**3 + 24*w**2 + 28*w - 240 = 0.
-3, 4, 5
Factor -x**2/5 - 8*x - 256/5.
-(x + 8)*(x + 32)/5
Find l such that 3*l**3 + 8580*l**2 + 8577*l = 0.
-2859, -1, 0
Suppose -2*m**3 + 86*m**2 - 880*m - 968 = 0. What is m?
-1, 22
Let 2*y**4 - 28*y**3 + 70*y**2 - 44*y = 0. What is y?
0, 1, 2, 11
Determine a, given that 3*a**5 - 21*a**4 - 240*a**3 + 1728*a**2 = 0.
-9, 0, 8
Factor y**2 - 17*y + 42.
(y - 14)*(y - 3)
Factor g**3/5 + 752*g**2/5.
g**2*(g + 752)/5
Factor 4*o**4/3 + 32*o**3 - 100*o**2/3.
4*o**2*(o - 1)*(o + 25)/3
Factor -2*k**4 - 234*k**3 - 690*k**2 - 686*k - 228.
-2*(k + 1)**3*(k + 114)
Factor -3*k**5/5 + 42*k**4 + 213*k**3/5.
-3*k**3*(k - 71)*(k + 1)/5
Find t such that t**5 + 13*t**4 - 7*t**3 - 97*t**2 - 78*t = 0.
-13, -2, -1, 0, 3
Factor 16*g**4/9 - 40*g**3/3 + 83*g**2/3 - 103*g/9 + 4/3.
(g - 4)*(g - 3)*(4*g - 1)**2/9
Find o, given that 2*o**2/13 + 2*o - 96/13 = 0.
-16, 3
Factor 5*y**2 + 15*y + 10.
5*(y + 1)*(y + 2)
Find z such that -2*z**3 + 40*z**2 + 250*z = 0.
-5, 0, 25
Factor 2*d**4/23 - 2*d**3/23 - 20*d**2/23 - 16*d/23.
2*d*(d - 4)*(d + 1)*(d + 2)/23
Factor -20*a**3 + 245*a**2 + 500*a - 140.
-5*(a - 14)*(a + 2)*(4*a - 1)
Determine y, given that -y**3/2 + 10*y**2 - 103*y/2 + 42 = 0.
1, 7, 12
Solve -2*h**4/11 - 20*h**3/11 - 50*h**2/11 = 0.
-5, 0
Let -7*l**2/4 - 5*l/8 + 9/8 = 0. What is l?
-1, 9/14
Suppose -y**2/2 - 16*y + 33/2 = 0. Calculate y.
-33, 1
Suppose -3*t**5/5 + 54*t**4/5 - 234*t**3/5 - 168*t**2/5 + 837*t/5 - 486/5 = 0. What is t?
-2, 1, 9
Determine d so that 70*d**5 + 111*d**4 + 47*d**3/8 - 459*d**2/8 - 101*d/4 - 3 = 0.
-1, -4/5, -2/7, -1/4, 3/4
Find j such that -5*j**3 + 320*j**2 + 1705*j + 1380 = 0.
-4, -1, 69
Factor 7*z**3/4 + 17*z**2/4 - 25*z/2 - 6.
(z - 2)*(z + 4)*(7*z + 3)/4
Find a such that -4*a**3 + 12*a**2 + 4*a - 12 = 0.
-1, 1, 3
Factor c**2/10 + 52*c/5 + 103/10.
(c + 1)*(c + 103)/10
Determine c so that -4*c**4 - 396*c**3 + 404*c**2 + 396*c - 400 = 0.
-100, -1, 1
Let 125*n**2/4 + 115*n/4 - 5/2 = 0. Calculate n.
-1, 2/25
Factor 5*n**3 - 50*n**2 + 160*n - 160.
5*(n - 4)**2*(n - 2)
Let -2*j**5/13 + 274*j**4/13 + 1116*j**3/13 + 1684*j**2/13 + 1126*j/13 + 282/13 = 0. What is j?
-1, 141
Factor q**3/3 + 26*q**2/3 - q/3 - 26/3.
(q - 1)*(q + 1)*(q + 26)/3
Find f, given that 4*f**2/5 + 152*f/5 - 156/5 = 0.
-39, 1
Factor x**4 + 5*x**3/7 - 9*x**2/7 - 5*x/7 + 2/7.
(x - 1)*(x + 1)**2*(7*x - 2)/7
Solve 4*a**3 - 24*a**2 - 4*a + 24 = 0.
-1, 1, 6
Determine c so that -c**4/5 - 6*c**3 - 5*c**2 + 600*c - 2000 = 0.
-20, 5
Solve -2*s**5/7 + 22*s**4/7 - 86*s**3/7 + 146*s**2/7 - 16*s + 32/7 = 0.
1, 4
Solve 3*n**2/4 - 12201*n/8 + 6099/8 = 0 for n.
1/2, 2033
Factor -2*i**5 - 2*i**4 + 2*i**3 + 2*i**2.
-2*i**2*(i - 1)*(i + 1)**2
Suppose u**5/2 + 715*u**4/2 + 102245*u**3 + 14621035*u**2 + 2090808005*u/2 + 59797108943/2 = 0. What is u?
-143
Solve -7*u**5 + 138*u**4 - 331*u**3 + 132*u**2 + 68*u = 0 for u.
-2/7, 0, 1, 2, 17
Solve -14*h**3 - 220*h**2 - 146*h + 60 = 0 for h.
-15, -1, 2/7
Factor -3*o**2/5 + 4686*o/5.
-3*o*(o - 1562)/5
Determine h, given that -6*h**4/11 + 60*h**3/11 - 144*h**2/11 - 60*h/11 + 150/11 = 0.
-1, 1, 5
Let -4*t**5/5 + 16*t**4/5 + 28*t**3/5 - 136*t**2/5 + 96*t/5 = 0. What is t?
-3, 0, 1, 2, 4
Solve 58*r**5 + 574*r**4/3 + 676*r**3/3 + 108*r**2 + 46*r/3 - 2/3 = 0 for r.
-1, -1/3, 1/29
Factor -3*s**3/5 - 3*s**2 + 66*s/5 - 48/5.
-3*(s - 2)*(s - 1)*(s + 8)/5
Solve -105*y**5/8 - 321*y**4/8 + 153*y**3/2 + 219*y**2/2 + 6*y = 0 for y.
-4, -1, -2/35, 0, 2
What is t in -16*t**2/9 - 2*t = 0?
-9/8, 0
Factor -c**2/5 - 1374*c/5 - 471969/5.
-(c + 687)**2/5
Factor -3*w**4/7 + 30*w**3/7 - 108*w**2/7 + 24*w - 96/7.
-3*(w - 4)*(w - 2)**3/7
Let 36*s**4/5 + 2271*s**3/5 - 2106*s**2/5 + 384*s/5 = 0. What is s?
-64, 0, 1/4, 2/3
Factor 5*d**5 + 230*d**4 + 1245*d**3 - 32200*d**2 + 98000*d.
5*d*(d - 5)**2*(d + 28)**2
Factor 5*t**5 - 40*t**4 - 15*t**3 + 130*t**2 - 80*t.
5*t*(t - 8)*(t - 1)**2*(t + 2)
Find u, given that -u**3/2 - 39*u**2 - 149*u/2 + 114 = 0.
-76, -3, 1
Determine p, given that -4*p**3 - 16*p**2 - 16*p = 0.
-2, 0
Factor -3*g**4 + 36*g**3 - 30*g**2 - 36*g + 33.
-3*(g - 11)*(g - 1)**2*(g + 1)
Let w**3 - 42*w**2 + 251*w - 210 = 0. Calculate w.
1, 6, 35
Factor 3*f**2 - 12*f - 36.
3*(f - 6)*(f + 2)
Let 144*s**3 + 6024*s**2 - 1007*s + 42 = 0. What is s?
-42, 1/12
Solve a**4 + 9*a**3 - 3*a**2 - 25*a + 18 = 0 for a.
-9, -2, 1
Factor 2*o**3 + 26*o**2/3 + 34*o/3 + 14/3.
2*(o + 1)**2*(3*o + 7)/3
Suppose -4*o**3 