 - 1)**2
Determine h, given that -3*h**4 - 12*h**3 - 15*h**2 - 6*h = 0.
-2, -1, 0
Find r such that r**4 + 81*r**3/2 - 1483*r**2/2 + 6111*r/2 - 2695/2 = 0.
-55, 1/2, 7
Suppose -2*x**2 + 292*x - 10658 = 0. What is x?
73
Suppose -3*g**4 - 303*g**3 - 582*g**2 + 1212*g + 2376 = 0. What is g?
-99, -2, 2
Find h, given that 2*h**4/7 - 2*h**3 - 10*h**2/7 + 150*h/7 = 0.
-3, 0, 5
Factor -g**5/4 + g**3/2 - g/4.
-g*(g - 1)**2*(g + 1)**2/4
Factor s**3/3 + 349*s**2/3.
s**2*(s + 349)/3
Solve -2*l**4 + 412*l**3 - 2026*l**2 + 3224*l - 1608 = 0.
1, 2, 201
Determine g so that -g**3/3 - 7*g**2/6 + 5*g/6 + 2/3 = 0.
-4, -1/2, 1
Determine u, given that u**2/3 - 1871*u/3 = 0.
0, 1871
Factor -c**3/4 + 425*c**2/2 - 45368*c + 89888.
-(c - 424)**2*(c - 2)/4
Let q**2/5 - 2*q + 21/5 = 0. Calculate q.
3, 7
Factor 6*o**5 + 32*o**4/3 + 10*o**3/3 - 4*o**2/3.
2*o**2*(o + 1)**2*(9*o - 2)/3
Factor 3*k**2/7 + 2064*k + 2485056.
3*(k + 2408)**2/7
What is f in 9*f**5 - 56*f**4 - 123*f**3 + 930*f**2 - 200*f = 0?
-4, 0, 2/9, 5
Suppose -2*u**2 + 10*u - 12 = 0. What is u?
2, 3
Determine k, given that -k**5/11 + 3*k**4/11 - 2*k**3/11 = 0.
0, 1, 2
Suppose 2*s**2/9 - 50*s/9 - 52/9 = 0. What is s?
-1, 26
Solve 50*y**3 + 1120*y**2 + 7912*y + 16928 = 0.
-46/5, -4
Factor -n**4 - n**3 + 6*n**2.
-n**2*(n - 2)*(n + 3)
Factor m**3 + 67*m**2/2 + 157*m/2 + 31.
(m + 2)*(m + 31)*(2*m + 1)/2
Factor 5*c**3/4 - 15*c**2/4 + 5*c/2.
5*c*(c - 2)*(c - 1)/4
Solve 7*t**2/4 - 55*t/2 - 153/4 = 0 for t.
-9/7, 17
Solve -3*a**3 + 96*a**2 - 93*a = 0.
0, 1, 31
Factor y**5/2 + 5*y**4/2 - y**3/2 - 5*y**2/2.
y**2*(y - 1)*(y + 1)*(y + 5)/2
Factor 2*z**2/7 + 340*z - 2382/7.
2*(z - 1)*(z + 1191)/7
Determine x so that -x**2 - 8*x - 12 = 0.
-6, -2
Suppose -a**3 - 38*a**2 + 79*a - 40 = 0. Calculate a.
-40, 1
Factor -v**3 + 129*v**2/2 - 1056*v + 512.
-(v - 32)**2*(2*v - 1)/2
Suppose 2*n**5/13 + 8*n**4/13 - 118*n**3/13 - 148*n**2/13 + 2240*n/13 - 3136/13 = 0. Calculate n.
-7, 2, 4
Solve 2*x**5/7 + 2*x**4/7 - 16*x**3/7 - 24*x**2/7 = 0.
-2, 0, 3
Suppose 5*w**4/4 + 17*w**3/4 - 39*w**2/4 + 7*w/4 + 5/2 = 0. What is w?
-5, -2/5, 1
Solve d**4/10 + 9*d**3/10 - 54*d/5 = 0 for d.
-6, 0, 3
Factor 2*k**3/3 + 70*k**2/3 + 422*k/3 - 650.
2*(k - 3)*(k + 13)*(k + 25)/3
Factor 6*r**4/7 + 8*r**3/7 - 8*r**2/7.
2*r**2*(r + 2)*(3*r - 2)/7
Factor 2*v**2 - 702*v.
2*v*(v - 351)
Factor 2*v**4/7 + 22*v**3/7 + 38*v**2/7 + 18*v/7.
2*v*(v + 1)**2*(v + 9)/7
Factor 14*z**2/5 + 32*z/5 + 8/5.
2*(z + 2)*(7*z + 2)/5
Determine r so that 2*r**4/9 + 28*r**3/9 + 2*r**2 - 112*r/9 - 104/9 = 0.
-13, -2, -1, 2
Suppose 4*h**5 + 316*h**4 + 6072*h**3 - 7040*h**2 - 12800*h = 0. What is h?
-40, -1, 0, 2
Factor 21*g**3 + 846*g**2 + 1059*g + 234.
3*(g + 1)*(g + 39)*(7*g + 2)
Determine s, given that 2*s**2 + 2054*s + 2052 = 0.
-1026, -1
Factor -3*d**5/2 - 3*d**4/2 + 15*d**3/2 + 3*d**2/2 - 12*d + 6.
-3*(d - 1)**3*(d + 2)**2/2
Factor -4*r**3 - 76*r**2 - 476*r - 980.
-4*(r + 5)*(r + 7)**2
Suppose -48*o**4 + 12552*o**3 - 18747*o**2 + 7023*o - 780 = 0. What is o?
1/4, 1, 260
Factor -p**4/2 + 7*p**3 - 33*p**2/2 - 56*p - 32.
-(p - 8)**2*(p + 1)**2/2
Factor 7*h**4/4 + 9*h**3/2 - 7*h**2/4 - 9*h/2.
h*(h - 1)*(h + 1)*(7*h + 18)/4
Factor -r**3/3 + 13*r**2/3 - 10*r/3 - 8.
-(r - 12)*(r - 2)*(r + 1)/3
Solve -4*v**3/5 - 4*v**2/5 + 544*v/5 - 208 = 0.
-13, 2, 10
Suppose -2*x**2/5 - 222*x/5 = 0. What is x?
-111, 0
Factor -h**2 + 3*h + 40.
-(h - 8)*(h + 5)
Factor t**4/10 - 11*t**3/10 - 93*t**2/10 - 149*t/10 - 34/5.
(t - 17)*(t + 1)**2*(t + 4)/10
Factor -2*f**4 - 62*f**3 - 50*f**2 + 294*f - 180.
-2*(f - 1)**2*(f + 3)*(f + 30)
Factor 5*g**5 - 330*g**4 + 3885*g**3 + 54760*g**2.
5*g**2*(g - 37)**2*(g + 8)
Factor 2*f**3/9 - 64*f**2/9 - 926*f/9 - 860/9.
2*(f - 43)*(f + 1)*(f + 10)/9
Factor -24*x**2 - 76*x - 12.
-4*(x + 3)*(6*x + 1)
Factor -5*r**3/6 - 7*r**2/6 + 7*r/3 + 8/3.
-(r + 1)*(r + 2)*(5*r - 8)/6
Let 8*d**5/5 - 2*d**4/5 - 32*d**3/5 + 8*d**2/5 = 0. Calculate d.
-2, 0, 1/4, 2
Determine p so that -3*p**3 + 36*p**2 - 108*p = 0.
0, 6
What is m in -5*m**2 + 11000*m - 6050000 = 0?
1100
Let -a**5/3 + a**4/3 + 4*a**3/3 - 4*a**2/3 = 0. What is a?
-2, 0, 1, 2
Suppose -h**5/4 - 3*h**4 - 21*h**3/4 - 5*h**2/2 = 0. Calculate h.
-10, -1, 0
Suppose 3*x**4/2 + 29*x**3/6 - 5*x**2 - 4*x/3 = 0. Calculate x.
-4, -2/9, 0, 1
Determine a so that 3*a**3 + 3*a**2 - 12*a - 12 = 0.
-2, -1, 2
Suppose -4*o**2 - 176*o - 172 = 0. Calculate o.
-43, -1
Determine q so that 156*q**2/7 + 452*q/7 - 48/7 = 0.
-3, 4/39
Factor 4*c**4/3 - 316*c**3/3 + 6080*c**2/3 + 6400*c/3.
4*c*(c - 40)**2*(c + 1)/3
Solve -2*o**2/7 - 10*o + 228/7 = 0.
-38, 3
Factor 2*z**3/3 - 32*z**2/3 - 38*z/3 + 68/3.
2*(z - 17)*(z - 1)*(z + 2)/3
Factor -3*a**3/4 - 39*a**2 - 135*a + 432.
-3*(a - 2)*(a + 6)*(a + 48)/4
Let 2*n**5/19 - 10*n**4/19 + 2*n**3/19 + 26*n**2/19 - 4*n/19 - 16/19 = 0. What is n?
-1, 1, 2, 4
Let 2*y**4 + 12*y**3 + 18*y**2 = 0. Calculate y.
-3, 0
What is v in -v**3/5 + 14*v**2/5 - 63*v/5 + 18 = 0?
3, 5, 6
Suppose 15*o**5 + 2901*o**4 + 188358*o**3 + 4191360*o**2 + 5578752*o + 1572864 = 0. Calculate o.
-64, -1, -2/5
Find q, given that 12*q**4 - 208*q**3 + 1008*q**2 - 1152*q - 1280 = 0.
-2/3, 4, 10
Factor -16*a**2/7 + 2*a/21 + 50/21.
-2*(a + 1)*(24*a - 25)/21
Find q such that -q**2 - 2*q + 3 = 0.
-3, 1
Determine q so that -14*q**5/9 - 62*q**4/3 - 850*q**3/9 - 1558*q**2/9 - 120*q - 200/9 = 0.
-5, -2, -1, -2/7
Find a, given that -20*a**2 - 6*a = 0.
-3/10, 0
Factor -2*c**4/7 - 114*c**3/7 - 240*c**2 - 224*c.
-2*c*(c + 1)*(c + 28)**2/7
Factor -3*x**2 - 69*x.
-3*x*(x + 23)
Factor 3*m**4/2 + 15*m**3 - 3*m**2/2 - 15*m.
3*m*(m - 1)*(m + 1)*(m + 10)/2
Determine q so that 3*q**2 - 420*q + 14700 = 0.
70
Factor 3*b**3 - 78*b**2 + 276*b - 264.
3*(b - 22)*(b - 2)**2
Factor -z**4 + 34*z**3 + 36*z**2 - 34*z - 35.
-(z - 35)*(z - 1)*(z + 1)**2
Solve f**2/6 - 53*f/6 - 9 = 0.
-1, 54
Factor -u**4 - 16*u**3 - 52*u**2 - 48*u.
-u*(u + 2)**2*(u + 12)
Factor d**5 + 4*d**4 + 6*d**3 + 4*d**2 + d.
d*(d + 1)**4
Suppose -x**2/11 + 18*x/11 - 17/11 = 0. What is x?
1, 17
Find y such that 5*y**3 - 35*y**2 - 490*y = 0.
-7, 0, 14
Let -10*v**4/7 + 1656*v**3/7 - 68226*v**2/7 - 27556*v/7 = 0. Calculate v.
-2/5, 0, 83
Let -j**3/3 + 2*j**2/3 + 64*j/3 + 160/3 = 0. Calculate j.
-4, 10
Factor 2*p**3/7 + 204*p**2/7 + 6936*p/7 + 78608/7.
2*(p + 34)**3/7
What is t in 25*t**4/2 - 65*t**3/2 + 26*t**2 - 6*t = 0?
0, 2/5, 1, 6/5
Find p, given that -3*p**2/2 - 3*p/2 + 30 = 0.
-5, 4
Suppose -2*l**4/15 + 56*l**3/15 - 98*l**2/5 - 1304*l/15 - 952/15 = 0. What is l?
-2, -1, 14, 17
Let 4*c**3 + 1176*c**2 + 3492*c = 0. What is c?
-291, -3, 0
Let n**3/2 - 63*n**2/2 + 588*n - 3430 = 0. What is n?
14, 35
Suppose 3*l**3 + 378*l**2 + 6075*l + 26244 = 0. Calculate l.
-108, -9
Determine f, given that -2*f**3/3 - 620*f**2/3 - 48050*f/3 = 0.
-155, 0
Solve 2*y**4/3 + 92*y**3 + 9794*y**2/3 + 6256*y + 9248/3 = 0.
-68, -1
Let -c**4 - 40*c**3 - 582*c**2 - 3640*c - 8281 = 0. Calculate c.
-13, -7
Determine d so that d**3/2 - 6*d**2 + 16*d = 0.
0, 4, 8
Factor 2*j**3/3 + 14*j**2 - 98*j/3 - 46.
2*(j - 3)*(j + 1)*(j + 23)/3
What is a in -a**2/2 - 151*a - 897/2 = 0?
-299, -3
What is t in -t**2/10 - 3*t/10 + 2/5 = 0?
-4, 1
Suppose -2*g**2/7 + 7248*g/7 - 6566688/7 = 0. What is g?
1812
Factor b**3/2 - 7*b**2/2 - 17*b/2 - 9/2.
(b - 9)*(b + 1)**2/2
Suppose -5*r**4 + 200*r**3 - 1495*r**2 - 200*r + 1500 = 0. What is r?
-1, 1, 10, 30
Factor -n**3 + 171*n**2 - 7395*n + 7225.
-(n - 85)**2*(n - 1)
Let 2*x**2/7 + 592*x/7 = 0. Calculate x.
-296, 0
Determine t so that -2*t**5 + 4*t**4 + 4*t**3 - 8*t**2 - 2*t + 4 = 0.
-1, 1, 2
Solve -2*l**3 + 8*l**2 + 102*l - 108 = 0.
-6, 1, 9
Solve 2*j**5/7 - 654*j**4/7 - 188*j**3 - 4*j**2/7 + 1314*j/7 + 94 = 0 for j.
-1, 1, 329
Suppose 2*l**5/9 + 28*l**4/9 - 32*l**3/9 - 28*l**2/9 + 10*l/3 = 0. What is l?
-15, -1, 0, 1
Factor -b**4 + 10*b**3 - 36*b**2 + 54*b - 27.
-(b - 3)**3*(b - 1)
Factor -2*z**2/5 + 482*z - 4812/5.
-2*(z - 1203)*(z - 2)/5
Let -5*o**2 + 670*o - 9440 = 0. Calculate o.
16, 118
Find a such that -a**4/4 - a**3/2 + 11*a**2/4 + 3*a = 0.
-4, -1, 0, 3
Determine l, given that -484*l**3 + 18436*l**2 - 19680*l + 5328 = 0.
6/11, 37
Let -3267*i**2/4 - 396*i - 48 = 0. Calculate i.
-8/33
Factor l**5/6 + 2*l**4/3 + l**3/2.
l**3*(l + 1)*(l + 3)/6
Factor -o**2/3 - 644*o/3 - 103684/3.
-(o + 322)**2/3
What is m in 7