**3/2 - w**2 + 125*w/2 + 25 = 0. What is w?
-5, -2/5, 5
Factor 5*x**2 - 45*x - 50.
5*(x - 10)*(x + 1)
Suppose 14*q**3/9 + 202*q**2/3 + 760*q/9 + 56/3 = 0. What is q?
-42, -1, -2/7
Factor z**3/7 + 9*z**2 + 960*z/7 - 1024/7.
(z - 1)*(z + 32)**2/7
Factor 2*m**4/15 - 4*m**3/5 + 2*m**2/3 + 8*m/5.
2*m*(m - 4)*(m - 3)*(m + 1)/15
Factor 2*a**2/7 + 20*a/7 - 342/7.
2*(a - 9)*(a + 19)/7
Suppose -11*i**3 + 19*i**2 + 391*i + 105 = 0. What is i?
-5, -3/11, 7
Factor 2*c**5 + 20*c**4 - 48*c**3.
2*c**3*(c - 2)*(c + 12)
Solve -4*w**4 + 584*w**3 - 580*w**2 = 0.
0, 1, 145
Let 2*n**5 + 156*n**4 + 3690*n**3 + 24344*n**2 + 20808*n = 0. What is n?
-34, -9, -1, 0
Suppose o**3/2 + 321*o**2 + 103041*o/2 = 0. What is o?
-321, 0
Factor w**2 + 111*w - 112.
(w - 1)*(w + 112)
Factor 5*p**3 - 60*p**2 + 105*p + 490.
5*(p - 7)**2*(p + 2)
Suppose 5*c**4 + 30*c**3 + 40*c**2 = 0. Calculate c.
-4, -2, 0
Find s such that -2*s**3/9 - 26*s**2/9 - 46*s/9 - 22/9 = 0.
-11, -1
Solve 4*h**5 + 8*h**4 - 20*h**3 - 40*h**2 + 16*h + 32 = 0 for h.
-2, -1, 1, 2
Let 5*x**2 + 295*x - 1260 = 0. What is x?
-63, 4
Let 2*b**4/5 - 12*b**3/5 - 24*b**2/5 + 176*b/5 - 192/5 = 0. What is b?
-4, 2, 6
Factor -m**3/3 - 18*m**2 - 155*m - 1100/3.
-(m + 5)**2*(m + 44)/3
Solve 2*z**4/3 - 10*z**3/3 + 2*z**2 + 6*z = 0 for z.
-1, 0, 3
Factor -3*t**3/2 + 1533*t**2/2 + 3075*t/2 + 1539/2.
-3*(t - 513)*(t + 1)**2/2
Determine v, given that 2*v**2/17 - 160*v/17 - 2850/17 = 0.
-15, 95
Suppose -61*n**5/2 - 184*n**4 - 683*n**3/2 - 194*n**2 - 6*n = 0. What is n?
-3, -2, -1, -2/61, 0
Suppose t**3/10 + 97*t**2/10 - 49*t/5 = 0. Calculate t.
-98, 0, 1
Solve -m**4 + 36*m**3 - 101*m**2 + 66*m = 0.
0, 1, 2, 33
Find c such that -c**2/2 + 16*c - 126 = 0.
14, 18
Find o such that 3*o**2 - 561*o + 1656 = 0.
3, 184
Let 4*j**4 + 864*j**3 - 1772*j**2 - 6120*j - 3488 = 0. What is j?
-218, -1, 4
Factor -y**4/10 - 7*y**3/10 - 6*y**2/5 + 2*y/5 + 8/5.
-(y - 1)*(y + 2)**2*(y + 4)/10
Let 21*y**3 - 108*y**2 - 279*y + 42 = 0. Calculate y.
-2, 1/7, 7
Factor -2*i**2/7 - 156*i/7 - 304/7.
-2*(i + 2)*(i + 76)/7
Suppose k**2/10 - 29*k/10 + 14/5 = 0. What is k?
1, 28
Factor -q**3 - q**2.
-q**2*(q + 1)
Factor -10*x**4/9 - 4*x**3 + 16*x**2/9.
-2*x**2*(x + 4)*(5*x - 2)/9
Factor -m**3 - 19*m**2 + 22*m + 40.
-(m - 2)*(m + 1)*(m + 20)
Factor -y**3/3 - 16*y**2/3 - 76*y/3 - 32.
-(y + 2)*(y + 6)*(y + 8)/3
Factor -l**2/5 + 27*l/5 - 152/5.
-(l - 19)*(l - 8)/5
What is b in 3*b**5/5 + 657*b**4/5 + 3237*b**3/5 + 5799*b**2/5 + 900*b + 1284/5 = 0?
-214, -2, -1
Suppose -3*w**5 + 6*w**4 - 3*w**3 = 0. What is w?
0, 1
Find p, given that 3*p**5/4 - 3*p**4 + 9*p**3/4 = 0.
0, 1, 3
Factor -y**5/4 + 27*y**4/2.
-y**4*(y - 54)/4
Determine b, given that b**5 + 24*b**4 - 51*b**3 + 26*b**2 = 0.
-26, 0, 1
Solve -j**2 - 1088*j - 295936 = 0 for j.
-544
Let -5*i**2 + 70*i - 165 = 0. Calculate i.
3, 11
Factor s**2 + 275*s - 2850.
(s - 10)*(s + 285)
Let -20*h**4 + 45*h**3 + 3190*h**2 - 18720*h + 4480 = 0. Calculate h.
-14, 1/4, 8
Find y, given that 5*y**2 - 130*y = 0.
0, 26
Factor -3*p**3/5 - 39*p**2/5 + 78*p + 912/5.
-3*(p - 8)*(p + 2)*(p + 19)/5
Suppose -4*s**2 + 380*s = 0. What is s?
0, 95
Factor -4*c**2/9 - 44*c + 280.
-4*(c - 6)*(c + 105)/9
Determine d, given that -2*d**3 + 1080*d**2 - 194400*d + 11664000 = 0.
180
Factor 3*b**2 - 435*b + 858.
3*(b - 143)*(b - 2)
Determine d so that -2*d**3/9 + 4*d**2 + 14*d = 0.
-3, 0, 21
What is l in -l**2 + 3*l + 18 = 0?
-3, 6
Factor -2*c**3/7 + 4*c**2/7 - 2*c/7.
-2*c*(c - 1)**2/7
Suppose -5*x**3 + 55*x**2 - 140*x = 0. What is x?
0, 4, 7
Factor -5*u**3 + 35*u**2 + 5*u - 35.
-5*(u - 7)*(u - 1)*(u + 1)
Determine c so that -2*c**5/19 - 4*c**4/19 + 8*c**3/19 + 16*c**2/19 = 0.
-2, 0, 2
Solve 2*o**5/17 + 6*o**4/17 - 20*o**3/17 - 104*o**2/17 - 144*o/17 - 64/17 = 0 for o.
-2, -1, 4
What is m in -25*m**3 - 160*m**2 - 260*m - 80 = 0?
-4, -2, -2/5
Let -2*n**4 - 28*n**3 + 30*n**2 + 1000*n - 1000 = 0. What is n?
-10, 1, 5
Suppose 2*b**5 - 4*b**4 - 42*b**3 - 44*b**2 + 40*b + 48 = 0. What is b?
-2, -1, 1, 6
Factor 2*y**4/3 - 14*y**3/3.
2*y**3*(y - 7)/3
Factor 3*s**4 - 10*s**3 - 8*s**2.
s**2*(s - 4)*(3*s + 2)
Factor -d**2/4 - 21*d/2 - 41/4.
-(d + 1)*(d + 41)/4
Factor 3*u**3/5 - 3*u**2 - 24*u/5 + 36/5.
3*(u - 6)*(u - 1)*(u + 2)/5
Factor 9*u**5 - 2*u**4 - 9*u**3 + 2*u**2.
u**2*(u - 1)*(u + 1)*(9*u - 2)
Factor 4*l**3 - 24*l**2 + 36*l - 16.
4*(l - 4)*(l - 1)**2
Factor -a**3/3 - 52*a**2 - 155*a/3.
-a*(a + 1)*(a + 155)/3
What is c in 3*c**4 + 99*c**3 + 1089*c**2 + 3993*c = 0?
-11, 0
Determine q so that -3*q**3 + 354*q**2 + 1101*q - 1452 = 0.
-4, 1, 121
Find l, given that -3*l**4 + 9*l**3 - 3*l**2 - 9*l + 6 = 0.
-1, 1, 2
Factor a**4/4 + 5*a**3/2 + 33*a**2/4 + 10*a + 4.
(a + 1)**2*(a + 4)**2/4
Solve -y**5/4 + 9*y**4/4 + 9*y**3/4 - 85*y**2/4 + 6*y + 27 = 0.
-3, -1, 2, 9
Factor s**2 - 38*s + 37.
(s - 37)*(s - 1)
Suppose -3*o**4 + 20*o**3 - 19*o**2 - 38*o + 40 = 0. Calculate o.
-4/3, 1, 2, 5
Factor -3*z**5/4 + 1347*z**4/4 - 202491*z**3/4 + 10323465*z**2/4 - 9923847*z/2.
-3*z*(z - 149)**3*(z - 2)/4
Determine h, given that -h**3/2 + 73*h**2 - 289*h/2 + 72 = 0.
1, 144
Factor -k**2/4 + 23*k/2 + 47/4.
-(k - 47)*(k + 1)/4
Suppose 4*i**4 - 3844*i**3 + 34380*i**2 - 102924*i + 102816 = 0. Calculate i.
3, 952
Factor -3*u**2/4 + 327*u/2 + 330.
-3*(u - 220)*(u + 2)/4
Factor 5*q**3/3 + 130*q**2/3 - 20*q/3 - 520/3.
5*(q - 2)*(q + 2)*(q + 26)/3
Factor -4*r**2 + 188*r.
-4*r*(r - 47)
Factor -3*l**2/4 - 132*l - 525/4.
-3*(l + 1)*(l + 175)/4
Let 8*b**5/15 + 568*b**4/15 + 542*b**3/5 - 424*b**2/15 - 1082*b/15 + 136/5 = 0. Calculate b.
-68, -3, -1, 1/2
Let -s**3 + 18*s**2 = 0. Calculate s.
0, 18
Determine z, given that -z**2 - 88*z + 1785 = 0.
-105, 17
Determine g so that -16*g**5/13 - 2*g**4/13 + 16*g**3/13 + 2*g**2/13 = 0.
-1, -1/8, 0, 1
Factor r**5/6 - r**4/3 + r**2/3 - r/6.
r*(r - 1)**3*(r + 1)/6
Find y such that -2*y**5/7 - 6*y**4/7 + 36*y**3/7 - 8*y**2/7 - 48*y/7 = 0.
-6, -1, 0, 2
Factor 3*w**2 + 9*w.
3*w*(w + 3)
Suppose -2*d**2/3 - 1448*d/3 - 482 = 0. Calculate d.
-723, -1
Suppose -2*y**4/9 + 10*y**3/3 + 22*y**2/3 + 34*y/9 = 0. What is y?
-1, 0, 17
Suppose -c**4/8 - c**3/4 + 47*c**2/8 + 6*c - 63/2 = 0. What is c?
-7, -3, 2, 6
Factor 2*a**3/7 + 2*a**2 + 32*a/7 + 24/7.
2*(a + 2)**2*(a + 3)/7
Factor -3*m**4 + 192*m**3 - 2862*m**2 - 7128*m + 9801.
-3*(m - 33)**2*(m - 1)*(m + 3)
Factor -4*t**3 + 98*t**2 + 160*t - 104.
-2*(t - 26)*(t + 2)*(2*t - 1)
Solve 3*g**2 - 1776*g + 262848 = 0.
296
Factor -2*x**3/11 + 508*x**2/11 + 2056*x/11 + 2064/11.
-2*(x - 258)*(x + 2)**2/11
Let -3*s**5/5 - 21*s**4/5 - 39*s**3/5 + 9*s**2/5 + 54*s/5 = 0. What is s?
-3, -2, 0, 1
Solve -2*p**4/5 - 2*p**3 - 18*p**2/5 - 14*p/5 - 4/5 = 0 for p.
-2, -1
Suppose 3*j**3 + 15*j**2 + 9*j - 27 = 0. Calculate j.
-3, 1
Factor -w**3/3 + 67*w**2/3 + 208*w/3 + 140/3.
-(w - 70)*(w + 1)*(w + 2)/3
Factor 3*v**3/2 + 1611*v**2/2 + 108540*v + 107736.
3*(v + 1)*(v + 268)**2/2
Find s such that 2*s**3/5 + 54*s**2/5 - 114*s/5 + 58/5 = 0.
-29, 1
Find x such that -2*x**2 + 4*x + 70 = 0.
-5, 7
Determine x, given that -14*x**3 + 6*x**2 + 8*x = 0.
-4/7, 0, 1
Determine x, given that 5*x**4 + 15*x**3 - 40*x**2 - 60*x + 80 = 0.
-4, -2, 1, 2
Find f such that 3*f**2/5 + 1851*f/5 - 3714/5 = 0.
-619, 2
Factor -t**2/2 - 45*t/2 - 43.
-(t + 2)*(t + 43)/2
Factor 2*f**5/11 - 438*f**4/11 + 24624*f**3/11 - 69984*f**2/11.
2*f**2*(f - 108)**2*(f - 3)/11
Factor 35*h**3 + 3545*h**2 + 7940*h + 1980.
5*(h + 2)*(h + 99)*(7*h + 2)
Solve -5*s**5/2 + 16*s**4 - 77*s**3/2 + 43*s**2 - 22*s + 4 = 0.
2/5, 1, 2
What is w in -2*w**2/11 + 6*w + 68/11 = 0?
-1, 34
Factor -q**2/2 + 157*q - 24649/2.
-(q - 157)**2/2
What is g in -2*g**3/3 + 2*g**2 + 8*g/3 - 8 = 0?
-2, 2, 3
Factor 2*l**4/9 - 2*l**3/9 - 2*l**2/9 + 2*l/9.
2*l*(l - 1)**2*(l + 1)/9
Solve -m**2/2 + 19*m/2 + 33 = 0 for m.
-3, 22
Solve -2*b**5 + 640*b**4/3 - 1250*b**3/9 - 260*b**2 + 280*b/3 + 848/9 = 0.
-2/3, 1, 106
Let 2*s**5/7 - 44*s**4/7 - 72*s**3 - 1620*s**2/7 - 1674*s/7 = 0. What is s?
-3, 0, 31
Let j**5 - 23*j**4 + 156*j**3 - 220*j**2 - 400*j = 0. What is j?
-1, 0, 4, 10
Factor o**3/4 - 5*o**2/4 + 7*o/4 - 3/4.
(o - 3)*(o - 1)**2/4
Factor -2*y**5/5 - 16*y**4/5 - 44*y**3/5 - 48*y**2/5 - 18*y/5.
-2*y*(y + 1)**2*(y + 3)**2/5
Find v such that -2*v**3/5 + 2*v**2/15 + 4*v/15 = 0.
-2/3, 0, 1
What is b in 15*b**5/8 - 21*b**4/4 - 3*