90.
3*(x - 446)*(x - 5)
Factor -4*i**5/3 + 2680*i**4/3 - 718240*i**3/3 + 96244160*i**2/3 - 6448358720*i/3 + 172816013696/3.
-4*(i - 134)**5/3
Determine s, given that 21*s**5 + 90*s**4 - 102*s**3 - 792*s**2 - 783*s - 162 = 0.
-3, -1, -2/7, 3
Factor -2*y**3/9 + 2*y**2/9 + 38*y/3 + 30.
-2*(y - 9)*(y + 3)*(y + 5)/9
Suppose n**4 - 2*n**3 - 36*n**2 - 88*n - 64 = 0. Calculate n.
-2, 8
Determine t so that 3*t**3 + 17*t**2 - 32*t - 28 = 0.
-7, -2/3, 2
Let -j**4/9 - j**3/9 + 2*j**2/3 + 4*j/9 - 8/9 = 0. What is j?
-2, 1, 2
Let -16*l**4 + 68*l**3 + 1647*l**2/4 + 1043*l/2 + 196 = 0. What is l?
-2, -7/8, 8
What is d in -2*d**4/7 + 6*d**3/7 + 2*d**2 - 30*d/7 - 36/7 = 0?
-2, -1, 3
Solve 6*f**5/5 + 59*f**4/5 - 82*f**3/5 - 48*f**2/5 + 76*f/5 - 11/5 = 0.
-11, -1, 1/6, 1
Factor -5*c**3 + 495*c**2 - 3720*c + 7280.
-5*(c - 91)*(c - 4)**2
Factor -3*c**2/2 + 87*c/2 + 45.
-3*(c - 30)*(c + 1)/2
What is u in 4*u**4 + 76*u**3 - 80*u**2 = 0?
-20, 0, 1
Let 105*g**2 - 447*g + 162 = 0. Calculate g.
2/5, 27/7
Factor 2*p**2/11 - 736*p/11 + 67712/11.
2*(p - 184)**2/11
Solve 2*r**2/9 + 56*r/9 + 104/9 = 0 for r.
-26, -2
Find m such that 3*m**3/8 + 45*m**2/8 - 51*m/4 = 0.
-17, 0, 2
What is y in 3*y**4 - 24*y**3 - 24*y**2 + 288*y + 432 = 0?
-2, 6
Determine k, given that -3*k**2/2 + 33*k + 225/2 = 0.
-3, 25
Factor 4*z**4 - 204*z**3 - 212*z**2 + 204*z + 208.
4*(z - 52)*(z - 1)*(z + 1)**2
Solve 4*h**2 + 51152*h + 163532944 = 0 for h.
-6394
Determine w, given that w**3 + 159*w**2/4 + 29*w - 39/4 = 0.
-39, -1, 1/4
Suppose -4*q**3 + 188*q**2 - 1120*q = 0. Calculate q.
0, 7, 40
Factor 2*m**4/9 - 8*m**3/9 - 2*m**2/9 + 8*m/9.
2*m*(m - 4)*(m - 1)*(m + 1)/9
Suppose 3*a**4 + 321*a**3 + 2424*a**2 + 4752*a = 0. What is a?
-99, -4, 0
Factor -d**3 - 2*d**2 - d.
-d*(d + 1)**2
Solve -r**4 + 11*r**3 + 25*r**2 + 13*r = 0 for r.
-1, 0, 13
Determine r, given that -2*r**3/5 + 22*r**2 - 508*r/5 + 80 = 0.
1, 4, 50
Factor 3*g**3/7 - 137*g**2/7 + 1541*g/7 + 529/7.
(g - 23)**2*(3*g + 1)/7
Factor x**2/2 + 1022*x + 522242.
(x + 1022)**2/2
Solve y**5 - 35*y**4/4 - 13*y**3/4 + 35*y**2/4 + 9*y/4 = 0.
-1, -1/4, 0, 1, 9
Factor 46*x**2 - 44*x - 2.
2*(x - 1)*(23*x + 1)
Find h such that h**4/3 + 538*h**3/3 + 24120*h**2 - 538*h/3 - 72361/3 = 0.
-269, -1, 1
Find l, given that 5*l**3 - 40*l**2 + 25*l + 250 = 0.
-2, 5
Let 4*h**4 + 56*h**3 + 180*h**2 + 208*h + 80 = 0. Calculate h.
-10, -2, -1
Factor 2*x**2/5 - 74*x/5.
2*x*(x - 37)/5
Factor 25*x**3 - 610*x**2 + 1340*x - 440.
5*(x - 22)*(x - 2)*(5*x - 2)
Factor -v**4/5 + v**3/5 + 12*v**2/5 + 4*v/5 - 16/5.
-(v - 4)*(v - 1)*(v + 2)**2/5
Let 5*q**2/4 - 275*q/4 - 70 = 0. What is q?
-1, 56
Factor -3*q**2 - 48*q - 84.
-3*(q + 2)*(q + 14)
Factor 2*a**2/11 - 108*a/11 - 6480/11.
2*(a - 90)*(a + 36)/11
Find j such that 6*j**2/5 - 2451*j/5 - 1227/5 = 0.
-1/2, 409
Let -6*k**5/11 + 102*k**4/11 - 48*k**3/11 - 840*k**2/11 + 1152*k/11 = 0. What is k?
-3, 0, 2, 16
Factor 15*f**2/7 - 66*f - 93/7.
3*(f - 31)*(5*f + 1)/7
What is r in r**3/4 - 9*r**2/2 + 47*r/4 - 15/2 = 0?
1, 2, 15
Factor -2*q**3 - 755*q**2 - 3017*q/8 - 377/8.
-(q + 377)*(4*q + 1)**2/8
Factor 3*p**4 - 12*p**3 - 57*p**2 - 42*p.
3*p*(p - 7)*(p + 1)*(p + 2)
Factor 4*i**2 - 540*i + 1584.
4*(i - 132)*(i - 3)
Find r, given that -2*r**4/7 + 2*r**3/7 + 16*r**2/7 - 24*r/7 = 0.
-3, 0, 2
Factor 5*g**2 - 215*g + 410.
5*(g - 41)*(g - 2)
Factor l**3 + 17*l**2 + 38*l - 56.
(l - 1)*(l + 4)*(l + 14)
What is y in 3*y**3/4 + 17*y**2/4 - 8*y - 7 = 0?
-7, -2/3, 2
Suppose -5*g**4 + 820*g**3 - 43140*g**2 + 780640*g - 4531520 = 0. Calculate g.
14, 68
Determine m, given that -2*m**3/3 - 1762*m**2/3 - 1756*m = 0.
-878, -3, 0
Factor 4*m**4 + 632*m**3 + 25588*m**2 + 49296*m + 24336.
4*(m + 1)**2*(m + 78)**2
Suppose k**4 - 4*k**3 + k**2 + 6*k = 0. Calculate k.
-1, 0, 2, 3
Factor 3*r**5/2 - 5*r**4/2 + r**3.
r**3*(r - 1)*(3*r - 2)/2
Let 2*c**4 - 6*c**3 - 6*c**2 + 14*c + 12 = 0. Calculate c.
-1, 2, 3
Find v, given that -v**4/3 - 2*v**3 - v**2/3 + 8*v + 20/3 = 0.
-5, -2, -1, 2
Factor 2*r**3/7 - 32*r**2/7 + 90*r/7 + 324/7.
2*(r - 9)**2*(r + 2)/7
Solve -2*b**4/11 + 6*b**2/11 + 4*b/11 = 0.
-1, 0, 2
Factor -19*h**2 - 211*h - 22.
-(h + 11)*(19*h + 2)
What is q in 6*q**5 + 356*q**4 + 6312*q**3 + 28080*q**2 - 21632*q = 0?
-26, -8, 0, 2/3
Suppose 2*z**2/3 - 892*z + 298374 = 0. Calculate z.
669
Factor -3*a**5 + 36*a**4 + 234*a**3 - 5208*a**2 + 25137*a - 37044.
-3*(a - 7)**3*(a - 3)*(a + 12)
Factor -2*v**3/11 + 20*v**2/11 - 32*v/11.
-2*v*(v - 8)*(v - 2)/11
Suppose -2*m**3 - 22*m**2 + 2*m + 22 = 0. What is m?
-11, -1, 1
Suppose 3*h**5 - 81*h**4 + 771*h**3 - 2667*h**2 - 882*h + 16464 = 0. Calculate h.
-2, 7, 8
Find x such that 3*x**2/4 + 9*x/2 = 0.
-6, 0
Determine o, given that 15*o**2 - 19*o + 4 = 0.
4/15, 1
Find i, given that i**3 + 11*i**2 - 46*i - 56 = 0.
-14, -1, 4
Factor 5*t**2 - 64110*t + 205504605.
5*(t - 6411)**2
Solve 2*s**4 - 384*s**3 + 762*s**2 - 380*s = 0 for s.
0, 1, 190
Factor 22*p**3/7 - 18*p**2/7 - 444*p/7 - 80/7.
2*(p - 5)*(p + 4)*(11*p + 2)/7
Factor g**5/2 - g**4/2 - 5*g**3/2 + g**2/2 + 4*g + 2.
(g - 2)**2*(g + 1)**3/2
Factor 11*u**3/2 - 439*u**2/2 - 246*u.
u*(u - 41)*(11*u + 12)/2
What is k in 400*k**2/7 + 240*k/7 + 36/7 = 0?
-3/10
Solve 3*d**2/4 + 2109*d/4 - 528 = 0 for d.
-704, 1
Factor 4*q**2 - 3324*q + 9936.
4*(q - 828)*(q - 3)
What is b in -b**5/5 + 9*b**4/5 + 6*b**3/5 - 62*b**2/5 + 15*b - 27/5 = 0?
-3, 1, 9
Suppose 2*i**4/3 - 1000*i**3/3 + 125000*i**2/3 = 0. Calculate i.
0, 250
Find l such that -2*l**3/11 - 4*l**2/11 + 2*l/11 + 4/11 = 0.
-2, -1, 1
Determine b so that 2*b**5 + 6*b**4 + 2*b**3 - 6*b**2 - 4*b = 0.
-2, -1, 0, 1
Factor -g**2/3 - 8*g/3 - 4.
-(g + 2)*(g + 6)/3
Determine z so that 4*z**2 + 32*z = 0.
-8, 0
Factor -5*q**3 - 195*q**2 - 1035*q - 1485.
-5*(q + 3)**2*(q + 33)
Determine s, given that 21*s**5 + 456*s**4 + 1695*s**3 - 3840*s**2 - 3756*s + 1344 = 0.
-16, -7, -1, 2/7, 2
Factor 2*m**3/3 - 290*m**2/9 + 92*m/9 + 64/3.
2*(m - 48)*(m - 1)*(3*m + 2)/9
What is v in -2*v**4/5 + 18*v**3/5 + 94*v**2/5 + 126*v/5 + 52/5 = 0?
-2, -1, 13
Factor -q**2/3 + 248*q.
-q*(q - 744)/3
Solve 5*r**5 + 45*r**4 + 145*r**3 + 195*r**2 + 90*r = 0.
-3, -2, -1, 0
Factor -5*m**3 - 50*m**2 + 65*m + 110.
-5*(m - 2)*(m + 1)*(m + 11)
Suppose c**3/4 + c**2 - 301*c/4 - 76 = 0. What is c?
-19, -1, 16
Find d such that -2*d**2/3 - 236*d/3 - 78 = 0.
-117, -1
What is k in -3*k**3/2 - 603*k**2/2 - 40401*k/2 - 902289/2 = 0?
-67
Factor 2*x**2 - 1084*x + 146882.
2*(x - 271)**2
Determine o, given that 2*o**3 - 124*o**2 = 0.
0, 62
Factor -3*w**2 + 17922*w - 26766507.
-3*(w - 2987)**2
What is i in -25*i**5/3 - 5*i**4/3 + 75*i**3 - 55*i**2/3 - 320*i/3 - 20 = 0?
-3, -1, -1/5, 2
Solve w**5/7 + w**4/7 - w**3/7 - w**2/7 = 0 for w.
-1, 0, 1
Suppose 20*d**3 - 395*d**2 + 1400*d + 375 = 0. Calculate d.
-1/4, 5, 15
Factor 5*u**3 + 106*u**2 - 203*u + 92.
(u - 1)*(u + 23)*(5*u - 4)
Factor -46*i**2/5 + 2*i.
-2*i*(23*i - 5)/5
Find j, given that -2*j**5 - 30*j**4 + 6*j**3 + 86*j**2 - 60*j = 0.
-15, -2, 0, 1
Factor l**3 - 6*l**2 - l + 6.
(l - 6)*(l - 1)*(l + 1)
Solve u**4/3 + 3*u**3 + 5*u**2 + 7*u/3 = 0 for u.
-7, -1, 0
Factor -3*o**2/4 + 138*o - 6348.
-3*(o - 92)**2/4
Suppose h**5/8 + h**4/2 - 3*h**3/8 - 11*h**2/4 - h/2 + 3 = 0. Calculate h.
-3, -2, 1, 2
Factor 4*t**2/7 + 240*t/7 + 3600/7.
4*(t + 30)**2/7
Determine q so that 4*q**3 - 20*q**2 + 24*q = 0.
0, 2, 3
What is c in -180*c**3 + 716*c**2 - 704*c - 16 = 0?
-1/45, 2
Suppose 21*b**5/2 + 87*b**4 - 18*b**3 - 348*b**2 - 96*b = 0. What is b?
-8, -2, -2/7, 0, 2
Solve -30*b**5 - 155*b**4 - 85*b**3 + 230*b**2 + 40*b = 0 for b.
-4, -2, -1/6, 0, 1
Solve -t**2/8 + 31*t/4 + 16 = 0.
-2, 64
Factor g**4/7 - 2*g**3/7 - 19*g**2/7 - 4*g - 12/7.
(g - 6)*(g + 1)**2*(g + 2)/7
Factor c**3/7 - 165*c**2/7 + 984*c - 6724/7.
(c - 82)**2*(c - 1)/7
Let -2*g**3/5 + 206*g**2/5 - 204*g/5 = 0. What is g?
0, 1, 102
Factor -6*g**3/11 + 30*g**2/11 + 12*g + 96/11.
-6*(g - 8)*(g + 1)*(g + 2)/11
Find o, given that -3*o**4/4 + 3*o**3/4 + 9*o**2 + 3*o - 12 = 0.
-2, 1, 4
Factor -3*y**2 - 90*y - 168.
-3*(y + 2)*(y + 28)
Suppose -2*v**2/5 - 256*v/5 - 254/5 = 0. What is v?
-127, -1
Suppose -2*f**3/7 - 16*f**2/7 - 6*f - 36/7 = 0. Calculate f.
-3, -2
Determine u, given that -5*u**3 + 25*u**2 = 0.
0, 5
Determine j, given that j**5/10 - 9*j**3/10 + 2*j**2/5 + 6*j/5 = 0.
-3, -1, 0, 2
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