ulate x.
-48, -2, -2/5, 0, 1
Factor 2*d**3/5 - 136*d**2/5 + 434*d + 980.
2*(d - 35)**2*(d + 2)/5
Factor -l**4/5 - 8*l**3 - 114*l**2/5 - 112*l/5 - 37/5.
-(l + 1)**3*(l + 37)/5
Find i such that 2*i**4 - 24*i**3 + 72*i**2 = 0.
0, 6
Suppose 4*y**4 + 684*y**3 + 29580*y**2 + 28900*y = 0. What is y?
-85, -1, 0
Suppose 5*v**3/3 + 7*v**2/3 + 2*v/3 = 0. What is v?
-1, -2/5, 0
Factor -2*j**4/5 - 46*j**3/5 - 70*j**2 - 882*j/5.
-2*j*(j + 7)**2*(j + 9)/5
Let -5*q**5 + 980*q**4 - 48005*q**3 - 2950*q**2 + 146020*q - 96040 = 0. Calculate q.
-2, 1, 98
What is l in l**3 + 861*l**2 + 247107*l + 23639903 = 0?
-287
What is p in p**2/2 + 155*p/2 + 588 = 0?
-147, -8
Determine i so that 3*i**2/2 - 51*i/2 - 27 = 0.
-1, 18
Determine a so that 14*a**5 - 1299*a**4 + 32983*a**3 - 128206*a**2 - 33792*a + 19360 = 0.
-1/2, 2/7, 5, 44
Determine q so that -4*q**5/3 + 40*q**4/3 - 32*q**3 = 0.
0, 4, 6
Find g such that -2*g**3 + 20*g**2 + 34*g - 132 = 0.
-3, 2, 11
Find s such that 200*s**2/9 - 22*s - 2/9 = 0.
-1/100, 1
Solve v**4/4 + 11*v**3/2 + 9*v**2 - 22*v - 40 = 0.
-20, -2, 2
Determine p, given that -2*p**3 + 1130*p**2 - 4496*p + 4488 = 0.
2, 561
Find i, given that 2*i**3/11 + 52*i**2/11 + 38*i + 88 = 0.
-11, -4
Suppose -1152*v**5 + 4128*v**4 - 3890*v**3 + 104*v**2 + 710*v + 100 = 0. Calculate v.
-5/24, 1, 2
Find f such that 5*f**2 - 5*f - 360 = 0.
-8, 9
Find w such that 4165*w**5/4 + 5530*w**4 - 4150*w**3 + 920*w**2 - 60*w = 0.
-6, 0, 2/17, 2/7
What is n in 9*n**5/7 - 60*n**4/7 + 135*n**3/7 - 120*n**2/7 + 36*n/7 = 0?
0, 2/3, 1, 2, 3
Let 2*t**5 + 48*t**4 - 56*t**3 - 140*t**2 + 246*t - 100 = 0. Calculate t.
-25, -2, 1
Factor l**2/3 - 10*l - 64/3.
(l - 32)*(l + 2)/3
Factor -2*d**2/9 + 308*d/9 + 310/9.
-2*(d - 155)*(d + 1)/9
Let -3*r**4 - 90*r**3 + 93*r**2 = 0. What is r?
-31, 0, 1
Determine l, given that -2*l**4/11 - 2*l**3/11 + 6*l**2/11 + 10*l/11 + 4/11 = 0.
-1, 2
Factor -9750528*k**2/5 - 8832*k/5 - 2/5.
-2*(2208*k + 1)**2/5
What is w in 5*w**3 - 90*w**2 = 0?
0, 18
Factor 2*z**3/15 + 26*z**2/15 + 26*z/5 + 18/5.
2*(z + 1)*(z + 3)*(z + 9)/15
What is r in 4*r**4 + 20*r**3 - 40*r**2 - 80*r + 96 = 0?
-6, -2, 1, 2
Factor 5*j**4 - 35*j**3 + 55*j**2 - 25*j.
5*j*(j - 5)*(j - 1)**2
Determine w, given that 2*w**4/11 - 8*w**3/11 + 6*w**2/11 = 0.
0, 1, 3
Solve -3*y**2 - 225*y = 0 for y.
-75, 0
Determine a, given that -2*a**4 - 72*a**3 - 382*a**2 - 672*a - 360 = 0.
-30, -3, -2, -1
Factor -2*y**2 - 60*y - 208.
-2*(y + 4)*(y + 26)
Factor -5*z**2 - 640*z - 20480.
-5*(z + 64)**2
Solve g**5/4 - 12*g**4 - 207*g**3/4 - 29*g**2/2 + 78*g = 0.
-3, -2, 0, 1, 52
Factor -3*c**4 - 6*c**3 + 33*c**2 + 36*c - 108.
-3*(c - 2)**2*(c + 3)**2
Determine m, given that 6*m**4 - 81*m**3/2 + 81*m**2 - 81*m/2 = 0.
0, 3/4, 3
What is n in -n**4/5 - 49*n**3/5 - 48*n**2/5 = 0?
-48, -1, 0
Factor -4*d**5/9 - 722*d**4/9 - 238*d**3 - 2134*d**2/9 - 710*d/9.
-2*d*(d + 1)**3*(2*d + 355)/9
Factor -2*g**3 - 68*g**2 + 2*g + 68.
-2*(g - 1)*(g + 1)*(g + 34)
Determine s so that -s**5/4 + 2*s**4 - 13*s**3/4 + 3*s**2/2 = 0.
0, 1, 6
Determine v so that 2*v**4/3 + 38*v**3 - 118*v**2/3 - 38*v + 116/3 = 0.
-58, -1, 1
Suppose 2*x**2 + 120*x + 342 = 0. What is x?
-57, -3
Solve -67*f**2/2 + 3*f/2 = 0.
0, 3/67
Solve 3*q**3/10 + q**2/5 = 0 for q.
-2/3, 0
Determine a so that -2*a**2/11 + 2440*a/11 - 4872/11 = 0.
2, 1218
Factor -s**2/3 - 37*s/3 + 38/3.
-(s - 1)*(s + 38)/3
Suppose -3*i**2/2 + 999*i/2 - 498 = 0. Calculate i.
1, 332
Factor -x**4 - 21*x**3 - 124*x**2 - 276*x - 208.
-(x + 2)**2*(x + 4)*(x + 13)
Factor 4*l**3 - 44*l**2 + 112*l.
4*l*(l - 7)*(l - 4)
Solve -2*q**5/7 + 8*q**4/7 + 2*q**3/7 - 32*q**2/7 + 24*q/7 = 0.
-2, 0, 1, 2, 3
Find y such that -2*y**5 + 20*y**4 - 72*y**3 + 108*y**2 - 54*y = 0.
0, 1, 3
Factor 5*a**3 + 30*a**2 + 55*a + 30.
5*(a + 1)*(a + 2)*(a + 3)
Suppose -5*h**2 - 70*h - 120 = 0. Calculate h.
-12, -2
Suppose 2*x**2/7 + 246*x/7 + 720/7 = 0. What is x?
-120, -3
Factor -q**2/8 + 7*q/2 - 27/8.
-(q - 27)*(q - 1)/8
Factor 3*u**5 - 84*u**4 + 159*u**3 - 78*u**2.
3*u**2*(u - 26)*(u - 1)**2
Factor -18*i**2 - 94*i - 20.
-2*(i + 5)*(9*i + 2)
Solve -j**2 - 72*j - 455 = 0 for j.
-65, -7
Let 2*y**4 - 62*y**3 + 416*y**2 + 480*y = 0. What is y?
-1, 0, 12, 20
Factor -289*a**3/2 - 221*a**2/2 + 285*a/2 + 225/2.
-(a - 1)*(17*a + 15)**2/2
Factor 4*r**4 - 20*r**3 - 16*r**2 + 176*r - 192.
4*(r - 4)*(r - 2)**2*(r + 3)
Factor 20*b**3 + 5*b**2 - 20*b - 5.
5*(b - 1)*(b + 1)*(4*b + 1)
Suppose -t**5/3 - t**4/3 + 34*t**3 - 130*t**2/3 - 2725*t/3 + 2625 = 0. What is t?
-9, -7, 5
Suppose f**5 + f**4 - 3*f**3 - 5*f**2 - 2*f = 0. What is f?
-1, 0, 2
Factor 5*h**3 + 85*h**2 - 810*h + 720.
5*(h - 6)*(h - 1)*(h + 24)
Factor -2*o**3/7 - 10*o**2/7 + 2*o/7 + 10/7.
-2*(o - 1)*(o + 1)*(o + 5)/7
Let 4*h**2 - 80*h + 76 = 0. What is h?
1, 19
Solve -6*x**5/13 - 332*x**4/13 - 5104*x**3/13 - 13920*x**2/13 - 352*x + 832 = 0 for x.
-26, -2, 2/3
Find d such that 3*d**3/4 - 15*d**2/4 + 6*d - 3 = 0.
1, 2
Factor -3*j**5/5 - 42*j**4/5 - 192*j**3/5 - 288*j**2/5.
-3*j**2*(j + 4)**2*(j + 6)/5
Let 2*m**2/5 - 156*m/5 - 158/5 = 0. What is m?
-1, 79
Factor 2*g**4 - 162*g**3.
2*g**3*(g - 81)
Let 3*k**2 - 204*k = 0. What is k?
0, 68
Solve x**4 - 15*x**3 + 14*x**2 = 0 for x.
0, 1, 14
Determine b, given that -b**4 + 13*b**3 - 48*b**2 + 36*b = 0.
0, 1, 6
Factor 2*t**2 + 226*t - 1680.
2*(t - 7)*(t + 120)
Factor -m**3/5 + 10*m**2 - 49*m/5.
-m*(m - 49)*(m - 1)/5
Factor -l**2 - 84*l + 1717.
-(l - 17)*(l + 101)
Factor -5*l**3 + 15*l - 10.
-5*(l - 1)**2*(l + 2)
Find k such that -2*k**2/9 + 1132*k/9 - 160178/9 = 0.
283
Let f**3 + 23*f**2/5 - 8*f + 12/5 = 0. What is f?
-6, 2/5, 1
Let -21*c**5 - 582*c**4 - 399*c**3 + 162*c**2 = 0. What is c?
-27, -1, 0, 2/7
Find s, given that 2*s**2 + 34*s - 3816 = 0.
-53, 36
Let c**2 + 512*c + 65536 = 0. What is c?
-256
Let -5*o**5 + 560*o**3 + 1090*o**2 - 7035*o + 5390 = 0. Calculate o.
-7, 1, 2, 11
Factor -7*i**2/10 + 17*i - 24/5.
-(i - 24)*(7*i - 2)/10
Factor 2*v**3/3 - 14*v**2/3 - 28*v/3 + 32.
2*(v - 8)*(v - 2)*(v + 3)/3
Determine k so that 9*k**3/2 - k**2 - 9*k/2 + 1 = 0.
-1, 2/9, 1
Suppose -15*j**5/4 + 411*j**4/4 - 1617*j**3/4 + 2337*j**2/4 - 348*j + 69 = 0. Calculate j.
2/5, 1, 2, 23
Determine q, given that q**2/3 - 4*q/9 + 1/9 = 0.
1/3, 1
Suppose 98*c**4/5 - 15918*c**3/5 - 1824*c**2 - 1304*c/5 = 0. What is c?
-2/7, 0, 163
Solve 25*s**3 - 785*s**2 + 7656*s - 21780 = 0.
5, 66/5
Determine b so that b**3/4 - b**2/4 - 5*b/4 - 3/4 = 0.
-1, 3
Factor -3*z**3 + 21*z**2 + 3*z - 21.
-3*(z - 7)*(z - 1)*(z + 1)
Solve -15*o**5/4 - 111*o**4/4 - 147*o**3/4 + 183*o**2/4 + 45*o/2 = 0 for o.
-5, -3, -2/5, 0, 1
Solve -7*d**5/3 - 4*d**4 + 11*d**3/3 + 4*d**2 - 4*d/3 = 0 for d.
-2, -1, 0, 2/7, 1
Determine r so that 34*r**4/5 - 441*r**3/5 - 2189*r**2/5 - 2376*r/5 - 68/5 = 0.
-2, -1/34, 17
Solve 3*c**4 + 81*c**3 - 171*c**2 + 87*c = 0.
-29, 0, 1
Let -6*j**4 - 16*j**3 + 32*j**2 = 0. What is j?
-4, 0, 4/3
Solve -35*k**3 + 2720*k**2 + 780*k = 0.
-2/7, 0, 78
Factor -2*o**2 + 32*o - 30.
-2*(o - 15)*(o - 1)
Factor 50*h**5/3 - 70*h**4/3 + 22*h**3/3 - 2*h**2/3.
2*h**2*(h - 1)*(5*h - 1)**2/3
Find n, given that -3*n**3 + 99*n**2 - 276*n + 180 = 0.
1, 2, 30
Suppose 3*s**2 + 24*s - 60 = 0. Calculate s.
-10, 2
Factor 2*l**2 + 128*l + 2048.
2*(l + 32)**2
Factor x**4/2 - 13*x**3 + 12*x**2 + 13*x - 25/2.
(x - 25)*(x - 1)**2*(x + 1)/2
Solve 205*w**4 + 1815*w**3 + 3420*w**2 - 540*w = 0 for w.
-6, -3, 0, 6/41
What is w in 50*w**4 + 35*w**3 - 55*w**2 - 30*w = 0?
-6/5, -1/2, 0, 1
Factor -5*u**4 + 1100*u**3 - 58260*u**2 - 246400*u - 250880.
-5*(u - 112)**2*(u + 2)**2
Solve 30*x**4 - 394*x**3 - 368*x**2 + 56*x = 0.
-1, 0, 2/15, 14
Factor 4*a**2 - 23*a/3 - 2/3.
(a - 2)*(12*a + 1)/3
Factor -2*w**3/11 + 170*w**2/11 - 966*w/11 + 1422/11.
-2*(w - 79)*(w - 3)**2/11
Factor 154*l**2/3 + 925*l/3 + 2.
(l + 6)*(154*l + 1)/3
Factor -4*h**4 + 36*h**3 + 44*h**2 - 36*h - 40.
-4*(h - 10)*(h - 1)*(h + 1)**2
Suppose 729*c**5 + 8829*c**4 + 27144*c**3 + 2040*c**2 - 2736*c - 432 = 0. Calculate c.
-6, -2/9, 1/3
What is w in 81*w**5 - 1539*w**4 + 6507*w**3 + 7563*w**2 + 2640*w + 300 = 0?
-1/3, 10
What is k in k**5/4 + 3*k**4 + 8*k**3 - 12*k**2 - 36*k = 0?
-6, -2, 0, 2
Factor 3*i**2/4 + 63*i/2 + 1323/4.
3*(i + 21)**2/4
Solve 2*m**3/7 - 4*m**2/7 - 96*m/7 = 0.
-6, 0, 8
Factor v**5 - 84*v**4 + 403*v**3 - 636*v**2 + 316*v.
v*