ind f, given that f**4/2 - 4*f**3 - 6*f**2 + 72*f = 0.
-4, 0, 6
Determine i so that -2*i**2/3 + 44*i - 256/3 = 0.
2, 64
Factor 4*w**2 + 888*w + 49284.
4*(w + 111)**2
Let -4*k**5 - 96*k**4 - 600*k**3 - 928*k**2 - 420*k = 0. What is k?
-15, -7, -1, 0
Suppose 3*y**2 + 99*y - 210 = 0. Calculate y.
-35, 2
Factor 2*u**2 - 4412*u + 2433218.
2*(u - 1103)**2
Determine o, given that -4*o**2 - 588*o = 0.
-147, 0
Factor 5*n**3 - 120*n**2 + 945*n - 2450.
5*(n - 10)*(n - 7)**2
Factor 7*n**4/2 - 97*n**3/2 + 77*n**2/2 + 13*n/2.
n*(n - 13)*(n - 1)*(7*n + 1)/2
Factor -2187*z**4/5 - 153819*z**3/5 + 103194*z**2/5 - 4596*z + 1704/5.
-3*(z + 71)*(9*z - 2)**3/5
Determine h, given that -3*h**5/5 - 54*h**4/5 + 429*h**3/5 - 144*h**2/5 - 1668*h/5 + 288 = 0.
-24, -2, 1, 2, 5
Factor 3*m**2/2 + 12*m - 30.
3*(m - 2)*(m + 10)/2
Find a, given that 2*a**2/9 + 70*a/9 - 8 = 0.
-36, 1
Determine m so that -4*m**3 - 64*m**2 + 868*m - 800 = 0.
-25, 1, 8
Let -36*k**4 + 33816*k**3 + 56432*k**2 + 26344*k + 3764 = 0. What is k?
-1, -1/3, 941
Solve -j**2/8 + 119*j/4 - 14161/8 = 0.
119
Let 4*z**2 - 116*z - 120 = 0. What is z?
-1, 30
Suppose 2*s**5 + 140*s**4 + 3074*s**3 + 20184*s**2 = 0. Calculate s.
-29, -12, 0
Suppose -5*m**4 + 11330*m**3 - 6407105*m**2 - 12848220*m - 6429780 = 0. Calculate m.
-1, 1134
Solve -2*a**2 - 84*a = 0 for a.
-42, 0
What is s in s**2/7 - 22*s/7 - 23/7 = 0?
-1, 23
Factor -4*x**2 - 184*x - 180.
-4*(x + 1)*(x + 45)
What is r in -27*r**4/2 + 5652*r**3 - 9393*r**2 + 4380*r - 1251/2 = 0?
1/3, 1, 417
Determine s, given that 5*s**2 + 60*s - 320 = 0.
-16, 4
Suppose 5*m**2 - 140*m - 145 = 0. What is m?
-1, 29
Determine g, given that 5*g**4 - 75*g**3 + 280*g**2 - 300*g = 0.
0, 2, 3, 10
Factor 128*j**2/5 - 352*j + 1210.
2*(8*j - 55)**2/5
Suppose z**2/9 + 1756*z/3 + 770884 = 0. What is z?
-2634
Factor 2*f**5/13 - 2*f**4 - 80*f**3/13 + 1400*f**2/13.
2*f**2*(f - 10)**2*(f + 7)/13
Factor -3*o**3 + 174*o**2 - 336*o.
-3*o*(o - 56)*(o - 2)
Solve -b**3/2 + 5*b**2/2 - 4*b + 2 = 0.
1, 2
Factor -3*a**3 - 18*a**2 + 81*a.
-3*a*(a - 3)*(a + 9)
Solve -13*d**4 - 25*d**3/3 - 4*d**2/3 = 0 for d.
-1/3, -4/13, 0
Suppose -2*k**2 + 412*k - 21218 = 0. What is k?
103
Factor -350*i**2 + 505*i + 30.
-5*(2*i - 3)*(35*i + 2)
Solve -m**3/2 + 45*m**2 - 1056*m + 1936 = 0.
2, 44
Suppose 4*y**5/9 + 22*y**4/3 - 116*y**3/9 - 46*y**2/3 + 112*y/9 + 8 = 0. Calculate y.
-18, -1, -1/2, 1, 2
Factor -i**2/11 + 526*i/11 - 69169/11.
-(i - 263)**2/11
Let -70*q**5 + 65*q**4 + 285*q**3 - 260*q**2 - 20*q = 0. What is q?
-2, -1/14, 0, 1, 2
Find t, given that 2*t**4/9 - 154*t**3/9 + 1144*t**2/9 - 2792*t/9 + 736/3 = 0.
2, 4, 69
Factor 2*x**2/17 + 20*x/17 + 18/17.
2*(x + 1)*(x + 9)/17
Factor 41*h**3/6 - 40*h**2/3 - 2*h/3.
h*(h - 2)*(41*h + 2)/6
Let h**4 + 6*h**3 - 3*h**2 - 16*h + 12 = 0. Calculate h.
-6, -2, 1
Find b, given that b**5/2 + 11*b**4/2 + 41*b**3/2 + 61*b**2/2 + 15*b = 0.
-5, -3, -2, -1, 0
Factor -4*w**5/3 + 4*w**4/3.
-4*w**4*(w - 1)/3
Factor -4*s**4 - 164*s**3 - 1908*s**2 - 4636*s - 2888.
-4*(s + 1)*(s + 2)*(s + 19)**2
Suppose 21*z**2/8 - 33*z/2 - 585/8 = 0. Calculate z.
-3, 65/7
Factor -4*g**5/5 - 4*g**4/5.
-4*g**4*(g + 1)/5
Find q such that -2*q**2 + 2*q + 12 = 0.
-2, 3
Solve y**4 - 55*y**3 + 159*y**2 - 157*y + 52 = 0 for y.
1, 52
Determine y, given that 12*y**4 + 21*y**3 - 42*y**2 + 9*y = 0.
-3, 0, 1/4, 1
Suppose l**4 - 4821*l**3 + 5808099*l**2 + 5812921*l = 0. Calculate l.
-1, 0, 2411
Solve 28*x**3 - 52*x**2 + 24*x = 0.
0, 6/7, 1
Determine f so that f**5/3 - 2*f**4 - 52*f**3/3 - 38*f**2/3 + 17*f + 44/3 = 0.
-4, -1, 1, 11
Let q**5/4 - q**4/2 - q**3 + q**2/2 + 3*q/4 = 0. What is q?
-1, 0, 1, 3
Suppose -2*d**3/11 - 28*d**2/11 - 50*d/11 - 24/11 = 0. What is d?
-12, -1
Factor 4*m**3 - 672*m**2 + 37632*m - 702464.
4*(m - 56)**3
Determine n so that 3*n**5 + 12*n**4 - 168*n**3 + 138*n**2 + 165*n - 150 = 0.
-10, -1, 1, 5
Factor -2*r**5 - 12*r**4 - 16*r**3 + 4*r**2 + 18*r + 8.
-2*(r - 1)*(r + 1)**3*(r + 4)
Suppose -z**4 - 33*z**3 - 237*z**2 - 143*z + 414 = 0. Calculate z.
-23, -9, -2, 1
Factor 3*u**2 - 87*u.
3*u*(u - 29)
Factor t**2 + 83*t.
t*(t + 83)
Factor 2*v**3/5 - 14*v**2/5 + 14*v/5 + 6.
2*(v - 5)*(v - 3)*(v + 1)/5
Solve -b**5/3 + 5*b**4 - 49*b**3/3 + 19*b**2 - 22*b/3 = 0.
0, 1, 2, 11
Suppose 5*z**5/2 - z**4 - 4*z**3 + z**2 + 3*z/2 = 0. What is z?
-1, -3/5, 0, 1
Let -3*z**3/5 + 807*z**2/5 - 10773*z - 10935 = 0. What is z?
-1, 135
Factor 3*q**4/2 - 150*q**3 + 3438*q**2 + 15600*q + 16224.
3*(q - 52)**2*(q + 2)**2/2
Factor -2*l**2/3 + 82*l/3 + 28.
-2*(l - 42)*(l + 1)/3
Find x, given that -2*x**2/11 - 1708*x/11 - 364658/11 = 0.
-427
What is h in 2*h**4 - 36*h**3/11 - 38*h**2/11 + 36*h/11 + 16/11 = 0?
-1, -4/11, 1, 2
Solve 5*x**5/4 - 885*x**4/4 - 7605*x**3/2 - 22555*x**2/2 + 139365*x/4 - 78165/4 = 0.
-9, 1, 193
Factor 2*b**4/15 - 2*b**3/3 - 16*b**2/15 + 8*b/5.
2*b*(b - 6)*(b - 1)*(b + 2)/15
Factor 2*q**4/13 - 24*q**2/13 - 32*q/13.
2*q*(q - 4)*(q + 2)**2/13
Determine k, given that 2*k**3/11 + 3522*k**2/11 + 1548798*k/11 - 1552322/11 = 0.
-881, 1
Let 12*p**5 - 346*p**4 - 446*p**3 + 772*p**2 + 248*p - 240 = 0. What is p?
-2, -2/3, 1/2, 1, 30
Let -9*x**4/8 - 65*x**3/8 - 5*x**2/8 + 65*x/8 + 7/4 = 0. What is x?
-7, -1, -2/9, 1
Suppose -p**5/6 - p**4/2 + 17*p**3/6 - 3*p**2/2 - 8*p/3 + 2 = 0. Calculate p.
-6, -1, 1, 2
Find q, given that -q**3/4 - 53*q**2/4 + 109*q/4 - 55/4 = 0.
-55, 1
Factor 2*w**2/9 - 4*w/9 - 16/9.
2*(w - 4)*(w + 2)/9
Factor -2*j**4 - 48*j**3 + 224*j**2.
-2*j**2*(j - 4)*(j + 28)
Factor 2*s**3/7 + 6*s**2 + 40*s/7.
2*s*(s + 1)*(s + 20)/7
Factor -2*y**3 - 94*y**2.
-2*y**2*(y + 47)
Find f such that -f**2/2 - 1137*f = 0.
-2274, 0
Suppose 5*v**2 - 130*v - 135 = 0. Calculate v.
-1, 27
Factor -3*g**3 + 26*g**2 - 37*g + 14.
-(g - 7)*(g - 1)*(3*g - 2)
Factor 128*t**3 + 2400*t**2 + 8466*t - 27556.
2*(t - 2)*(8*t + 83)**2
Solve -5*l**3 - 5*l**2 = 0 for l.
-1, 0
Factor -4*k**2/3 + 48*k + 156.
-4*(k - 39)*(k + 3)/3
What is z in -z**2 - 31*z - 84 = 0?
-28, -3
Factor -3*b**2/2 + 162*b - 624.
-3*(b - 104)*(b - 4)/2
Factor u**2/8 + 9*u/4 - 19/8.
(u - 1)*(u + 19)/8
Suppose -2*g**2 - 928*g - 107648 = 0. What is g?
-232
Suppose -5*n**4 + 850*n**3 - 4145*n**2 + 3300*n = 0. What is n?
0, 1, 4, 165
Factor 4*j**2/7 + 40*j/7 - 44/7.
4*(j - 1)*(j + 11)/7
Factor -2*m**5/3 - 8*m**4/3 - 8*m**3/3.
-2*m**3*(m + 2)**2/3
Factor c**4/6 + 14*c**3/3 - 5*c**2 - 14*c/3 + 29/6.
(c - 1)**2*(c + 1)*(c + 29)/6
Factor -4*w**4 + 60*w**3.
-4*w**3*(w - 15)
Find o such that -2*o**2 + 424*o - 22472 = 0.
106
Determine f, given that -5*f**5/2 - 10*f**4 - 10*f**3 + 5*f**2 + 25*f/2 + 5 = 0.
-2, -1, 1
Determine p, given that p**5/2 - 4*p**4/3 - 4*p**3/3 + 7*p**2/3 + 5*p/6 - 1 = 0.
-1, 2/3, 1, 3
Find x such that 2*x**4 + 302*x**3 - 1246*x**2 - 894*x + 5580 = 0.
-155, -2, 3
Find u, given that -2*u**2/9 + 134*u/9 - 260/9 = 0.
2, 65
Factor -o**5/7 - 7*o**4 - 48*o**3/7.
-o**3*(o + 1)*(o + 48)/7
Factor -2*k**2/3 + 2*k/3 + 4/3.
-2*(k - 2)*(k + 1)/3
Solve 4*v**4 + 5032*v**3 + 1577524*v**2 - 3170160*v + 1587600 = 0 for v.
-630, 1
Let -2*x**3/5 + 444*x**2/5 - 32856*x/5 + 810448/5 = 0. Calculate x.
74
Find g, given that -25*g**4 - 35*g**3 + 740*g**2 + 2100*g + 720 = 0.
-4, -3, -2/5, 6
What is j in -j**5 + 2*j**4 + 2*j**3 - 4*j**2 - j + 2 = 0?
-1, 1, 2
Find a such that -2*a**2 - 26*a - 60 = 0.
-10, -3
Factor 81*y**2/2 - 1368*y + 11552.
(9*y - 152)**2/2
What is u in 2*u**2/3 - 32*u/3 + 10 = 0?
1, 15
Suppose -u**2 + 1598*u - 3192 = 0. What is u?
2, 1596
Factor 4*p**2 - 176*p + 336.
4*(p - 42)*(p - 2)
Factor 3*k**2 + 12*k - 15.
3*(k - 1)*(k + 5)
Suppose -3*n**3/5 - 174*n**2/5 - 663*n - 20808/5 = 0. What is n?
-24, -17
Determine s so that -7*s**5/2 - 61*s**4/2 - 73*s**3/2 + 341*s**2/2 + 130*s - 50 = 0.
-5, -1, 2/7, 2
Let 2*s**5/17 - 26*s**4/17 + 80*s**3/17 = 0. What is s?
0, 5, 8
Find z, given that 4*z**2/5 + 1374*z/5 - 688/5 = 0.
-344, 1/2
Factor 36*w**4 - 888*w**3 + 6532*w**2 - 13024*w + 7744.
4*(w - 11)**2*(3*w - 4)**2
Let -4*a**3 - 60*a**2 - 216*a = 0. Calculate a.
-9, -6, 0
Suppose -28*t**3 - 32*t**2 - 4*t = 0. Calculate t.
-1, -1/7, 0
Solve 28*i**5 + 225*i**4 + 657*i**3 + 842*i**2 + 444*i + 72 = 0.
-3, -2, -3/4, -2/7
Solve 3*l**4 + 72*l**3 + 498*l**2 + 792*l + 363 = 0 for l.
-11, -1
Let -4*w**4 - 44*w**3 - 72*w**2 = 0. What is w?
-9, -2, 0
Find u, given that -27*u**4