q - 1)*(q + 145)/8
Find w, given that 9*w**3/7 + 132*w**2 + 24021*w/7 + 15606/7 = 0.
-51, -2/3
Find q such that 5*q**4 - 30*q**2 - 40*q - 15 = 0.
-1, 3
Find s, given that -s**5/6 - 5*s**4/3 + s**3/2 + 16*s**2/3 + 10*s/3 = 0.
-10, -1, 0, 2
Factor a**2/4 - 107*a/2 + 11449/4.
(a - 107)**2/4
Factor -4*x**2 - 28*x + 32.
-4*(x - 1)*(x + 8)
Determine n, given that n**5 + 64*n**4 - 74*n**3 - 596*n**2 - 719*n - 260 = 0.
-65, -1, 4
Factor 4*z**4/5 - 324*z**3.
4*z**3*(z - 405)/5
Factor -2*x**2/17 + 56*x/17 - 54/17.
-2*(x - 27)*(x - 1)/17
Suppose -5*l**2/6 + 4750*l/3 - 3165/2 = 0. What is l?
1, 1899
Factor -2*b**5/5 - 46*b**4/5 - 76*b**3 - 1316*b**2/5 - 1666*b/5 - 686/5.
-2*(b + 1)**2*(b + 7)**3/5
Factor 2*v**4 - 46*v**3 + 120*v**2 + 8*v - 160.
2*(v - 20)*(v - 2)**2*(v + 1)
Find r, given that 9*r**4 - 213*r**3 + 405*r**2 + 2049*r + 630 = 0.
-2, -1/3, 5, 21
What is l in -3*l**5 + 216*l**4 - 1860*l**3 = 0?
0, 10, 62
Factor -3*i**3 - 51*i**2 - 240*i - 192.
-3*(i + 1)*(i + 8)**2
Determine l, given that -2*l**3/3 + 6*l**2 + 44*l/3 = 0.
-2, 0, 11
Let 4*o**3/7 + 10*o**2/7 - 8*o/7 - 6/7 = 0. What is o?
-3, -1/2, 1
Determine s, given that 3*s**4 - 21*s**3 - 78*s**2 + 216*s = 0.
-4, 0, 2, 9
Factor -2*v**3/7 + 120*v**2/7 - 114*v/7 - 236/7.
-2*(v - 59)*(v - 2)*(v + 1)/7
Factor 2*i**3 + 2722*i**2 + 924798*i - 927522.
2*(i - 1)*(i + 681)**2
Factor -p**2 - 39*p.
-p*(p + 39)
Factor l**4/3 - 2*l**3/3 - l**2 + 8*l/3 - 4/3.
(l - 2)*(l - 1)**2*(l + 2)/3
Determine d so that -18*d**4 + 51*d**3 + 195*d**2 + 12*d - 60 = 0.
-2, -2/3, 1/2, 5
Factor -4*r**4 - 572*r**3 + 1744*r**2 - 1168*r.
-4*r*(r - 2)*(r - 1)*(r + 146)
Let i**4 - 15*i**3 - 21*i**2 + 83*i - 48 = 0. Calculate i.
-3, 1, 16
Factor 2*f**4 - 34*f**3 + 150*f**2 - 198*f.
2*f*(f - 11)*(f - 3)**2
Factor -3*i**4 - 6*i**3 + 72*i**2 + 150*i + 75.
-3*(i - 5)*(i + 1)**2*(i + 5)
Suppose -4*s**4/5 + 4*s**3/5 + 144*s**2/5 - 144*s/5 = 0. What is s?
-6, 0, 1, 6
Solve 18*w**5/5 + 66*w**4/5 + 74*w**3/5 + 6*w**2 + 4*w/5 = 0.
-2, -1, -1/3, 0
Factor d**4/8 - d**3/4 - 125*d**2/8 - 117*d/4.
d*(d - 13)*(d + 2)*(d + 9)/8
Factor 3*w**3 + 1458*w**2 + 2907*w + 1452.
3*(w + 1)**2*(w + 484)
Find b such that 5*b**5 - 200*b**4 + 180*b**3 + 610*b**2 - 985*b + 390 = 0.
-2, 1, 39
Find b such that 4*b**3/9 + 28*b**2/3 + 464*b/9 + 128/3 = 0.
-12, -8, -1
Factor -2*u**3/3 - 4076*u**2/3 - 690880*u + 1387200.
-2*(u - 2)*(u + 1020)**2/3
Factor 4*k**3 - 36*k**2 + 32*k.
4*k*(k - 8)*(k - 1)
Factor -s**2/8 - 11*s - 242.
-(s + 44)**2/8
Factor -42*f**4/23 - 88*f**3/23 - 8*f**2/23.
-2*f**2*(f + 2)*(21*f + 2)/23
Find l such that 14*l**4/3 + 992*l**3/3 - 52*l**2 - 992*l/3 + 142/3 = 0.
-71, -1, 1/7, 1
Suppose -4*v**5 - 180*v**4 + 20*v**3 + 900*v**2 - 16*v - 720 = 0. Calculate v.
-45, -2, -1, 1, 2
Factor -3*t**5/4 - 3*t**4 - 15*t**3/4 - 3*t**2/2.
-3*t**2*(t + 1)**2*(t + 2)/4
Solve -4*z**3 - 328*z**2 - 8740*z - 76176 = 0.
-36, -23
Suppose 4*r**5/3 - 8*r**4/3 - 8*r**3 + 32*r**2/3 + 20*r/3 - 8 = 0. Calculate r.
-2, -1, 1, 3
Determine n, given that -2*n**5/7 - 4*n**4 + 20*n**3 - 80*n**2/7 - 138*n/7 + 108/7 = 0.
-18, -1, 1, 3
Factor -3*o**2 - 3*o.
-3*o*(o + 1)
Suppose -6*a**2 + 117*a + 918 = 0. Calculate a.
-6, 51/2
Factor 4*n**3 - 1620*n**2 - 1623*n - 406.
(n - 406)*(2*n + 1)**2
Factor 2*d**2/5 - 376*d/5 + 17672/5.
2*(d - 94)**2/5
Factor -4*n**4 + 4*n**3 - n**2.
-n**2*(2*n - 1)**2
Solve -3*o**3 - 4782*o**2 + 9573*o - 4788 = 0 for o.
-1596, 1
Factor 6*n**2 + 9*n - 6.
3*(n + 2)*(2*n - 1)
Determine d so that -10*d**4 + 25*d**3 + 20*d**2 - 15*d = 0.
-1, 0, 1/2, 3
Factor -5*w**3 + 130*w**2 - 455*w + 330.
-5*(w - 22)*(w - 3)*(w - 1)
What is b in 4*b**4/5 + 164*b**3/5 + 1588*b**2/5 - 420*b - 3528/5 = 0?
-21, -1, 2
Factor -4*w**3/7 + 16*w**2/7 + 20*w/7.
-4*w*(w - 5)*(w + 1)/7
Factor 3*x**4/2 + 6*x**3 - 18*x**2 - 48*x + 96.
3*(x - 2)**2*(x + 4)**2/2
Solve -n**2/9 - 386*n/9 - 37249/9 = 0 for n.
-193
Let 2*w**5/7 - 8*w**4/7 - 18*w**3/7 + 32*w**2/7 + 40*w/7 = 0. Calculate w.
-2, -1, 0, 2, 5
Factor 2*i**2 - 162*i - 680.
2*(i - 85)*(i + 4)
Find r such that 2*r**3/7 - 1434*r**2/7 - 8658*r/7 - 13014/7 = 0.
-3, 723
Solve -5*a**5 - 85*a**4 + 5*a**3 + 85*a**2 = 0.
-17, -1, 0, 1
Factor -x**5/3 + 2*x**3 - 8*x**2/3 + x.
-x*(x - 1)**3*(x + 3)/3
Factor -4*p**3 - 104*p**2 + 876*p + 3456.
-4*(p - 9)*(p + 3)*(p + 32)
Suppose 36*k**3 + 116*k**2 - 120*k - 32 = 0. Calculate k.
-4, -2/9, 1
Determine r so that 2*r**2 + 90*r - 848 = 0.
-53, 8
Factor x**4 - 2*x**3/3 - 5*x**2/3 + 4*x/3.
x*(x - 1)**2*(3*x + 4)/3
Suppose 4*w**4/3 + 4*w**3 - 16*w**2/3 = 0. What is w?
-4, 0, 1
What is a in a**2 + 60*a + 275 = 0?
-55, -5
What is k in -3*k**3/5 - 15*k**2 + 771*k/5 - 693/5 = 0?
-33, 1, 7
Factor -36*l**3 + 3*l**2 + 30*l - 9.
-3*(l + 1)*(3*l - 1)*(4*l - 3)
Solve 2*o**5/13 - 14*o**4/13 + 38*o**3/13 - 50*o**2/13 + 32*o/13 - 8/13 = 0 for o.
1, 2
What is g in g**4/2 - 2*g**3 - g**2 + 6*g + 9/2 = 0?
-1, 3
Find t such that 3844*t**2/5 - 992*t + 320 = 0.
20/31
Suppose -2*m**2/11 - 126*m/11 - 1564/11 = 0. What is m?
-46, -17
Factor 10*w**3/19 - 104*w**2/19 + 280*w/19 - 96/19.
2*(w - 6)*(w - 4)*(5*w - 2)/19
Factor -6*v**4 - 33*v**3 - 12*v**2 + 15*v.
-3*v*(v + 1)*(v + 5)*(2*v - 1)
Factor 4*q**5/7 - 4*q**4/7 - 4*q**3/7 + 4*q**2/7.
4*q**2*(q - 1)**2*(q + 1)/7
Factor -64*h**3 + 4348*h**2 - 73712*h - 4624.
-4*(h - 34)**2*(16*h + 1)
Find w such that -1323*w**5 + 5208*w**4 - 4899*w**3 - 558*w**2 + 204*w + 24 = 0.
-1/7, 2/9, 2
Solve x**4/4 - 889*x**3/4 + 2655*x**2/2 - 2651*x + 1766 = 0.
2, 883
Determine d, given that -4*d**4 + 484*d**3 - 13872*d**2 - 48112*d + 61504 = 0.
-4, 1, 62
Factor -4*o**2/5 - 1168*o/5 - 1164/5.
-4*(o + 1)*(o + 291)/5
Let -2*l**3 + 40*l**2 - 38*l = 0. What is l?
0, 1, 19
Factor -3*j**4 - 456*j**3 - 17325*j**2 + 456*j + 17328.
-3*(j - 1)*(j + 1)*(j + 76)**2
Factor -3*g**4/7 + 3*g**3 - 45*g**2/7 + 39*g/7 - 12/7.
-3*(g - 4)*(g - 1)**3/7
Factor 474*r**3/11 - 72*r**2/11.
6*r**2*(79*r - 12)/11
Factor -375*h**2 + 200*h + 15.
-5*(5*h - 3)*(15*h + 1)
Let 3*y**3 - 54*y**2 - 927*y - 870 = 0. What is y?
-10, -1, 29
Suppose 4*u**5 + 16*u**4 + 20*u**3 + 8*u**2 = 0. Calculate u.
-2, -1, 0
Factor -5*u**2/4 + 1537*u/4 - 307/2.
-(u - 307)*(5*u - 2)/4
Let -r**2/3 + 557*r/3 + 1118/3 = 0. Calculate r.
-2, 559
Determine a, given that 5*a**2 - 810*a + 805 = 0.
1, 161
Factor -4*p**5 + 12*p**4 + 432*p**3.
-4*p**3*(p - 12)*(p + 9)
Factor t**2/4 - 7*t/2.
t*(t - 14)/4
What is g in -5*g**4 + 10*g**3 + 135*g**2 + 260*g + 140 = 0?
-2, -1, 7
Factor 4*f**3 - 176*f**2 + 340*f - 168.
4*(f - 42)*(f - 1)**2
Let 3*k**4 - 48*k**3 + 243*k**2 - 438*k + 240 = 0. What is k?
1, 2, 5, 8
Factor 3*g**4/5 - 72*g**3/5.
3*g**3*(g - 24)/5
Factor -6*y**3 + 9*y**2 + 6*y.
-3*y*(y - 2)*(2*y + 1)
Let -5*z**4 + 5*z**3 + 40*z**2 - 60*z = 0. What is z?
-3, 0, 2
Find t, given that -5*t**5 + 55*t**4 - 210*t**3 + 320*t**2 - 160*t = 0.
0, 1, 2, 4
Determine w so that 15*w**5 + 80*w**4 + 115*w**3 - 30*w**2 - 140*w - 40 = 0.
-2, -1/3, 1
What is k in 5*k**3 - 680*k**2 - 685*k = 0?
-1, 0, 137
Find g, given that g**5 + 9*g**4 - 120*g**3 + 272*g**2 = 0.
-17, 0, 4
Factor -5*y**2 - 520*y - 1020.
-5*(y + 2)*(y + 102)
Factor -2*c**5 - 8*c**4 - 2*c**3 + 20*c**2 + 8*c - 16.
-2*(c - 1)**2*(c + 2)**3
Factor -r**3/8 - r**2/4.
-r**2*(r + 2)/8
Factor -5*a**2 - 75*a - 220.
-5*(a + 4)*(a + 11)
Determine m, given that 2*m**4 - 36*m**3 - 2*m**2 + 36*m = 0.
-1, 0, 1, 18
Factor 2*y**2/5 + 112*y/5 + 416/5.
2*(y + 4)*(y + 52)/5
Determine z, given that -4*z**2/3 + 28*z - 120 = 0.
6, 15
Find t, given that 3*t**2/5 - 183*t/5 = 0.
0, 61
Let a**3 + 43*a**2/3 + 53*a/3 + 13/3 = 0. Calculate a.
-13, -1, -1/3
Determine i so that 3*i**3 + 3255*i**2 + 884544*i + 881292 = 0.
-542, -1
Solve -6*r**3 - 141*r**2 - 69*r = 0 for r.
-23, -1/2, 0
Solve -w**3/4 - 91*w**2/4 + 47*w/2 + 46 = 0.
-92, -1, 2
Factor k**3/5 + 6*k**2/5 - 32/5.
(k - 2)*(k + 4)**2/5
Suppose 12*k**5 - 207*k**4 + 231*k**3 + 159*k**2 - 243*k + 48 = 0. What is k?
-1, 1/4, 1, 16
Determine s, given that 45*s**4/4 - 21*s**3 + 33*s**2/4 + 3*s/2 = 0.
-2/15, 0, 1
Factor -2*q**3/9 - 26*q**2/9 + 32*q/9 + 56/9.
-2*(q - 2)*(q + 1)*(q + 14)/9
Find c such that 2*c**5 + 4*c**4 - 64*c**3 + 52*c**2 + 62*c - 56 = 0.
-7, -1, 1, 4
Find h such that 1150*h**3/7 - 1142*h**2/7 - 16*h/7 + 8/7 = 0.
-2/23, 2/25, 1
Factor 3*h**2/7 - 96*h/7 + 75.
3*(h - 25)*(h - 7)/7
What