so that -5*a**3 + 60*a**2 - 205*a + 150 = 0.
1, 5, 6
Factor 6*h**2 - 64*h - 22.
2*(h - 11)*(3*h + 1)
Find n, given that -3*n**5 - 30*n**4 - 21*n**3 + 54*n**2 = 0.
-9, -2, 0, 1
What is i in -i**4 + 90*i**3 - 1828*i**2 - 9306*i + 11045 = 0?
-5, 1, 47
Determine d so that -d**4/6 - 322*d**3/3 - 52163*d**2/3 - 34454*d - 34347/2 = 0.
-321, -1
What is u in -u**4 - 9*u**3 + 12*u**2 + 20*u = 0?
-10, -1, 0, 2
What is u in -4*u**3/11 + 1186*u**2/11 - 88208*u/11 + 43808/11 = 0?
1/2, 148
Solve -10*m**5 + 228*m**4 - 1314*m**3 + 2128*m**2 + 480*m = 0.
-1/5, 0, 4, 15
Factor -y**4/5 - 2*y**3 + 3*y**2/5 + 28*y/5 - 4.
-(y - 1)**2*(y + 2)*(y + 10)/5
Let 4*m**5 - 40*m**4 - 24*m**3 + 208*m**2 + 308*m + 120 = 0. What is m?
-1, 3, 10
Determine q so that 2*q**4 - 102*q**2 - 196*q - 96 = 0.
-6, -1, 8
Let -5*u**2 + 8200*u - 8195 = 0. Calculate u.
1, 1639
Suppose 2*g**2/13 - 2206*g/13 + 2204/13 = 0. Calculate g.
1, 1102
Factor 4*k**2/7 - 432*k/7 + 404.
4*(k - 101)*(k - 7)/7
Let -4*j**2/5 - 4*j = 0. What is j?
-5, 0
Factor 4*a**5 - 24*a**4 - 60*a**3 - 32*a**2.
4*a**2*(a - 8)*(a + 1)**2
Factor 7*i**5 - 15*i**4 + 2*i**3.
i**3*(i - 2)*(7*i - 1)
Solve 5*j**5 + 15*j**4 - 25*j**3 - 135*j**2 - 160*j - 60 = 0 for j.
-2, -1, 3
Factor 28227*x**2 + 2910*x + 75.
3*(97*x + 5)**2
Let -5*m**4 - 45*m**3 - 120*m**2 - 100*m = 0. What is m?
-5, -2, 0
What is f in 3*f**5/2 + 12*f**4 - 21*f**3 - 72*f**2 - 81*f/2 = 0?
-9, -1, 0, 3
Determine y, given that -y**3/5 + 6*y**2/5 + 3*y + 8/5 = 0.
-1, 8
Determine w, given that 4*w**3 - 356*w**2 + 8428*w - 22188 = 0.
3, 43
Factor -v**4 + 11*v**3 + 40*v**2 + 28*v.
-v*(v - 14)*(v + 1)*(v + 2)
Suppose k**2 + 98*k + 2401 = 0. What is k?
-49
Suppose -4*m**2 - 8*m + 32 = 0. What is m?
-4, 2
Factor b**5 + 11*b**4 - 26*b**3 + 2*b**2 + 25*b - 13.
(b - 1)**3*(b + 1)*(b + 13)
Factor -b**5/4 + 7*b**4/4.
-b**4*(b - 7)/4
Solve 4*s**3 - 332*s**2 - 676*s - 340 = 0 for s.
-1, 85
Let 75*f**5/4 + 435*f**4/4 + 231*f**3/2 - 105*f**2 - 114*f - 24 = 0. What is f?
-4, -2, -2/5, 1
Find x, given that -7*x**4/2 - 34*x**3 - 18*x**2 + 232*x - 64 = 0.
-8, -4, 2/7, 2
Factor -8*o**3/17 + 656*o**2/17 + 2022*o/17 + 90.
-2*(o - 85)*(2*o + 3)**2/17
Factor -r**2/2 + 4*r + 24.
-(r - 12)*(r + 4)/2
Suppose -3*h**2 - 1965*h - 1962 = 0. Calculate h.
-654, -1
Suppose 7*m**5 + 139*m**4/4 + 79*m**3/4 - 143*m**2/4 - 107*m/4 + 1 = 0. Calculate m.
-4, -1, 1/28, 1
Let 2*q**3/3 + 44*q**2/3 - 202*q/3 + 52 = 0. Calculate q.
-26, 1, 3
Let -5*r**2 + 10040*r - 5040080 = 0. Calculate r.
1004
Suppose u**4/6 + 3*u**3/2 + 4*u**2 + 8*u/3 = 0. Calculate u.
-4, -1, 0
Factor g**3/2 + g**2 - g/2 - 1.
(g - 1)*(g + 1)*(g + 2)/2
Find l such that 4*l**4 - 729*l**3 + 44103*l**2 - 874435*l - 680943 = 0.
-3/4, 61
Suppose 98*h**2 + 84*h + 18 = 0. Calculate h.
-3/7
Solve -2*u**3/7 - 4*u**2/7 + 6*u/7 = 0.
-3, 0, 1
Solve 28*y**4 + 216*y**3 + 300*y**2 + 64*y - 48 = 0 for y.
-6, -1, 2/7
Factor 4*a**2 + 288*a - 592.
4*(a - 2)*(a + 74)
Determine w, given that -2*w**3/3 - 74*w**2/3 + 5360*w/3 - 61600/3 = 0.
-77, 20
Solve d**4/4 - 25*d**3/4 + 81*d**2/2 - 216 = 0.
-2, 3, 12
Determine t so that t**2 - 35*t + 96 = 0.
3, 32
Factor c**3/4 - 23*c**2/4 + 5*c + 11.
(c - 22)*(c - 2)*(c + 1)/4
Let 3*b**5 + 6*b**4 - 18*b**3 - 60*b**2 - 57*b - 18 = 0. What is b?
-2, -1, 3
Factor z**3/3 + 70*z**2 + 209*z/3.
z*(z + 1)*(z + 209)/3
Factor -3*b**4/7 + 132*b**3/7 + 414*b**2/7 + 60*b + 141/7.
-3*(b - 47)*(b + 1)**3/7
Factor -2*y**2/3 - 10*y + 32/3.
-2*(y - 1)*(y + 16)/3
Find t such that -t**3/10 - t**2/2 - 3*t/5 = 0.
-3, -2, 0
Suppose 4*r**2 - 1040*r + 1036 = 0. Calculate r.
1, 259
Suppose -2*a**4/9 + 28*a**3/9 - 16*a**2 + 320*a/9 - 256/9 = 0. Calculate a.
2, 4
Determine l, given that -2*l**4 - 62*l**3 + 206*l**2 + 62*l - 204 = 0.
-34, -1, 1, 3
Let -5*f**2/4 - 565*f/4 - 5175/2 = 0. Calculate f.
-90, -23
Factor 2*i**2 + 11*i - 6.
(i + 6)*(2*i - 1)
Suppose a**4/2 - 11*a**3/2 - 17*a**2/2 + 63*a/2 - 18 = 0. Calculate a.
-3, 1, 12
What is c in 5*c**3 + 470*c**2 + 1800*c = 0?
-90, -4, 0
Determine i, given that -i**3/3 - 7*i**2/3 - 8*i/3 + 16/3 = 0.
-4, 1
Let -16*t**2 - 2*t + 60 = 0. What is t?
-2, 15/8
Factor 2*r**4 + 16*r**3 - 6*r**2 - 44*r + 32.
2*(r - 1)**2*(r + 2)*(r + 8)
Suppose -4*w**3 + 44*w**2 + 224*w + 240 = 0. Calculate w.
-2, 15
Factor -w**3 + 20*w**2 - 59*w - 80.
-(w - 16)*(w - 5)*(w + 1)
Factor -3*m**2 - 1017*m + 2046.
-3*(m - 2)*(m + 341)
Solve -4*a**5 - 4*a**4 + 16*a**3 + 16*a**2 = 0.
-2, -1, 0, 2
Suppose 90*f**3 - 172*f**2 + 62*f + 20 = 0. What is f?
-1/5, 1, 10/9
Let -24*b**2 + 4*b + 20 = 0. Calculate b.
-5/6, 1
Find f such that -12*f**4/7 + 32*f**3/7 - 31*f**2/7 + 13*f/7 - 2/7 = 0.
1/2, 2/3, 1
Factor a**4/2 + 9*a**3/2 + 14*a**2 + 18*a + 8.
(a + 1)*(a + 2)**2*(a + 4)/2
Suppose 33*n**2 - 36*n = 0. Calculate n.
0, 12/11
Let 232*p**5/3 - 460*p**4/3 + 224*p**3/3 + 4*p**2/3 = 0. What is p?
-1/58, 0, 1
Find t such that 5*t**4/2 - 55*t**3/2 - 5*t**2/2 + 55*t/2 = 0.
-1, 0, 1, 11
Find l such that 2*l**3/15 + 2*l**2/3 - 16*l/5 = 0.
-8, 0, 3
Determine j so that -j**3 - 244*j**2 + 247*j + 490 = 0.
-245, -1, 2
Let 2*z**4 - 6*z**3 - 8*z**2 + 24*z = 0. What is z?
-2, 0, 2, 3
Solve -3*b**4 + 30*b**3 - 87*b**2 + 96*b - 36 = 0 for b.
1, 2, 6
Factor -g**4 + 57*g**3 - 1008*g**2 + 5184*g.
-g*(g - 24)**2*(g - 9)
Solve 5*p**5 + 45*p**4 - 105*p**3 + 55*p**2 = 0.
-11, 0, 1
Suppose 4*b**3/3 + 8*b**2/3 - 12*b - 24 = 0. What is b?
-3, -2, 3
Suppose b**4/4 - 37*b**3/4 + 167*b**2/4 - 227*b/4 + 24 = 0. What is b?
1, 3, 32
Factor 2*h**5/7 + 4*h**4/7 - 30*h**3/7 - 72*h**2/7.
2*h**2*(h - 4)*(h + 3)**2/7
Factor -4*z**4 - 32*z**3 - 20*z**2 + 200*z.
-4*z*(z - 2)*(z + 5)**2
Find d, given that -4*d**3 + 1752*d**2 - 5228*d + 3480 = 0.
1, 2, 435
Factor 3*d**4 - 48*d**3 + 156*d**2 - 144*d.
3*d*(d - 12)*(d - 2)**2
Factor 2*m**3/3 - 8*m**2 - 40*m - 128/3.
2*(m - 16)*(m + 2)**2/3
Suppose -3*c**5 - 24*c**4 + 240*c**3 - 240*c**2 - 912*c + 1344 = 0. What is c?
-14, -2, 2, 4
Factor 4*i**3 - 176*i**2 + 492*i.
4*i*(i - 41)*(i - 3)
Factor 3*v**5/5 + 6*v**4/5 - 9*v**3/5 - 12*v**2/5 + 12*v/5.
3*v*(v - 1)**2*(v + 2)**2/5
Let -21*u**4/4 - 27*u**3/2 - 45*u**2/4 - 3*u = 0. Calculate u.
-1, -4/7, 0
Factor -20*i**3/3 - 44*i**2 + 56*i/3.
-4*i*(i + 7)*(5*i - 2)/3
Factor 3*y**5/2 - 2*y**4 + y**3/2.
y**3*(y - 1)*(3*y - 1)/2
Factor 4*k**2 + 80*k + 204.
4*(k + 3)*(k + 17)
Factor 2*c**4/5 + 2*c**3 + 6*c**2/5 - 18*c/5.
2*c*(c - 1)*(c + 3)**2/5
What is p in -4*p**3/3 - 64*p**2/3 - 116*p/3 - 56/3 = 0?
-14, -1
Factor -7*w**3 + 599*w**2 + 867*w + 261.
-(w - 87)*(w + 1)*(7*w + 3)
Determine c, given that -4*c**3 + 24*c**2 - 36*c = 0.
0, 3
Find z such that -4*z**5/7 - 1984*z**4/7 + 3984*z**3/7 - 8*z**2/7 - 3980*z/7 + 1992/7 = 0.
-498, -1, 1
Let k**3 + 5*k**2 + 8*k + 4 = 0. Calculate k.
-2, -1
Let -445*r**5/4 - 1325*r**4/4 + 15*r**3/2 + 445*r**2 - 10*r = 0. What is r?
-2, 0, 2/89, 1
Suppose -v**3/6 - 2*v**2 - 11*v/6 = 0. Calculate v.
-11, -1, 0
Find o such that -2*o**5/3 + 2*o**4 + 8*o**3/3 - 32*o**2/3 + 32/3 = 0.
-2, -1, 2
Factor -r**4/6 + 4*r**3/3 - 17*r**2/6 + 5*r/3.
-r*(r - 5)*(r - 2)*(r - 1)/6
Find c such that -5*c**3 - 5*c**2 + 100*c = 0.
-5, 0, 4
Factor 16*b**3/9 + 1862*b**2/9 + 54520*b/9 + 6728/3.
2*(b + 58)**2*(8*b + 3)/9
Factor -5*v**3 - 880*v**2 - 50820*v - 958320.
-5*(v + 44)*(v + 66)**2
Factor -m**5 - m**4.
-m**4*(m + 1)
Find q, given that -2*q**3/3 - 4*q**2/3 + 62*q/3 - 56/3 = 0.
-7, 1, 4
Let -3*s**2 - 22998*s - 44075667 = 0. What is s?
-3833
Let -55*r**4 + 109*r**3 - 53*r**2 - r = 0. Calculate r.
-1/55, 0, 1
Factor 5*d**3 - 46785*d**2 + 145922415*d - 151710670795.
5*(d - 3119)**3
Find a, given that -3*a**5 - 27*a**4 - 63*a**3 - 57*a**2 - 18*a = 0.
-6, -1, 0
Determine s so that -5*s**4 + 15*s**3 - 20*s = 0.
-1, 0, 2
Factor -k**3 - 4*k**2 + k + 4.
-(k - 1)*(k + 1)*(k + 4)
Find g such that 8*g**4 + 80*g**3 + 58*g**2 - 122*g + 36 = 0.
-9, -2, 1/2
Factor -h**2/7 - 23*h/7.
-h*(h + 23)/7
Solve -4*i**3 + 184*i**2 - 180*i = 0 for i.
0, 1, 45
Factor -3*f**5/5 + 51*f**4/5 - 318*f**3/5 + 174*f**2 - 195*f + 75.
-3*(f - 5)**3*(f - 1)**2/5
Find y such that -y**2/8 + 171*y/4 - 29241/8 = 0.
171
Find j such that 4*j**4 - 20*j**3 + 16*j**2 = 0.
0, 1, 4
Determine y so that -2*y**2/3 - 1588*y/3 - 315218/3 = 0.
-397
Find x, given that -5*x**3/2 - 2165*x**2 + 8690*x - 8700 = 0.
-870, 2
Solve -u**3/3 - 85*u**2/3 - 167