47/2.
3*(c - 1)**2*(c + 349)/2
Solve -2*f**3/7 - 10*f**2/7 + 26*f/7 - 2 = 0.
-7, 1
Determine y, given that y**4/4 + 53*y**3/4 - 165*y**2/4 + 167*y/4 - 14 = 0.
-56, 1
Determine i so that -i**2 - 26*i + 56 = 0.
-28, 2
Find k, given that 5*k**3 - 240*k**2 - 245*k = 0.
-1, 0, 49
Solve 5*m**2 + 88*m - 36 = 0 for m.
-18, 2/5
Factor 64*j**4/5 - 16864*j**3/5 + 1106692*j**2/5 + 556512*j/5 + 69696/5.
4*(j - 132)**2*(4*j + 1)**2/5
Let 2*k**2 - 40*k + 72 = 0. Calculate k.
2, 18
Find d such that d**2 + 1339*d + 1338 = 0.
-1338, -1
Factor -4*j**2 + 16*j + 48.
-4*(j - 6)*(j + 2)
Factor -5*b**2 + 570*b + 575.
-5*(b - 115)*(b + 1)
Suppose -2*b**4 + 62*b**3 - 636*b**2 + 2304*b - 1728 = 0. Calculate b.
1, 6, 12
Solve -3*y**4 + 285*y**3 - 4158*y**2 - 269892*y + 6890184 = 0 for y.
-31, 42
Suppose -2*b**5/11 + 8*b**4/11 - 4*b**3/11 - 8*b**2/11 + 6*b/11 = 0. Calculate b.
-1, 0, 1, 3
Let -5*k**3 + 8370*k**2 - 4670460*k + 868705560 = 0. What is k?
558
Factor 1369*u**3/8 - 37*u**2/2 + u/2.
u*(37*u - 2)**2/8
Determine t so that t**4 - 33*t**3 + 206*t**2 + 240*t = 0.
-1, 0, 10, 24
Factor 4*v**5/3 + 20*v**4/3 + 28*v**3/3 + 4*v**2.
4*v**2*(v + 1)**2*(v + 3)/3
What is w in -w**5 - 2*w**4 + 2*w**2 + w = 0?
-1, 0, 1
Suppose 12*c**4 + 99*c**3 + 108*c**2 + 21*c = 0. What is c?
-7, -1, -1/4, 0
Determine d so that 4*d**5 - 42*d**4 + 14*d**3 + 494*d**2 + 630*d + 196 = 0.
-2, -1, -1/2, 7
Factor i**2/3 - 8*i/3 - 156.
(i - 26)*(i + 18)/3
Factor -3*o**3 - 198*o**2 - 2331*o + 32856.
-3*(o - 8)*(o + 37)**2
What is n in 37249*n**2 - 6948*n + 324 = 0?
18/193
Find f such that 2*f**2/5 - 208*f/5 + 408/5 = 0.
2, 102
Let 2*p**4/3 + 10*p**3/3 + 2*p**2 - 10*p/3 - 8/3 = 0. What is p?
-4, -1, 1
Suppose -5*u**2 - 180*u - 1120 = 0. Calculate u.
-28, -8
Factor -3*k**2 - 84*k - 588.
-3*(k + 14)**2
Factor b**2/4 + 24*b.
b*(b + 96)/4
Let 3*q**2/4 - 12*q + 117/4 = 0. What is q?
3, 13
Suppose -27*l**3/2 + 861*l**2 - 1482*l - 372 = 0. What is l?
-2/9, 2, 62
Suppose 5*p**2/3 - 65*p/3 - 50 = 0. What is p?
-2, 15
What is q in 4*q**3/5 + 268*q**2/5 = 0?
-67, 0
Suppose -3*j**2/7 + 246*j/7 - 5043/7 = 0. What is j?
41
Let -3*u**4 + 27*u**3 - 39*u**2 - 27*u + 42 = 0. Calculate u.
-1, 1, 2, 7
Suppose 2*c**3/11 + 68*c**2/11 - 534*c/11 - 2160/11 = 0. Calculate c.
-40, -3, 9
Factor -2*v**4 - 26*v**3 - 92*v**2 - 24*v + 144.
-2*(v - 1)*(v + 2)*(v + 6)**2
Factor -g**2 - 6*g - 5.
-(g + 1)*(g + 5)
Let 147*m**5 - 966*m**4 + 2280*m**3 - 2256*m**2 + 816*m - 96 = 0. What is m?
2/7, 2
Factor w**3/3 + 28*w**2/3 + 67*w + 126.
(w + 3)*(w + 7)*(w + 18)/3
Let -4*h**5 - 12*h**4 + 280*h**3 + 1952*h**2 + 4224*h + 2560 = 0. What is h?
-4, -1, 10
Determine a, given that 2*a**4 - 246*a**3 + 1640*a**2 - 1824*a - 3712 = 0.
-1, 4, 116
Factor -5*q**4/6 - 35*q**3/2 + 75*q**2/2 - 115*q/6.
-5*q*(q - 1)**2*(q + 23)/6
Determine d, given that -20*d**4 + 32*d**3 - 4*d**2 - 8*d = 0.
-2/5, 0, 1
Find j such that -4*j**2 + 376*j - 8836 = 0.
47
Solve -2*b**3/15 - 2*b**2/3 - 4*b/15 + 16/15 = 0 for b.
-4, -2, 1
Factor -2*k**4 + 21*k**3 - 51*k**2 + 47*k - 15.
-(k - 1)**3*(2*k - 15)
Factor -o**4 + 17*o**3 - 40*o**2 - 300*o.
-o*(o - 10)**2*(o + 3)
What is r in -5*r**4 - 2380*r**3 - 280830*r**2 + 568820*r - 285605 = 0?
-239, 1
Factor -2*m**3 + 2*m**2.
-2*m**2*(m - 1)
Solve 5*p**2 + 3660*p - 3665 = 0 for p.
-733, 1
Factor 3*s**5 + 3*s**4 - 36*s**3 + 12*s**2 + 48*s.
3*s*(s - 2)**2*(s + 1)*(s + 4)
Determine l, given that 36*l**4 - 21*l**3 - 21*l**2 + 6*l = 0.
-2/3, 0, 1/4, 1
Factor -u**4/4 + 7*u**3/4 - 7*u**2/2 + 2*u.
-u*(u - 4)*(u - 2)*(u - 1)/4
Determine b so that 5*b**5 - 320*b**4 + 5715*b**3 - 18900*b**2 + 13500*b = 0.
0, 1, 3, 30
Solve -b**3/4 + 5*b**2 - 93*b/4 + 63/2 = 0.
3, 14
Factor -44*d**2 - 3836*d - 696.
-4*(d + 87)*(11*d + 2)
Let m**2 - 208*m + 10816 = 0. What is m?
104
Solve 5*y**3 - 375*y**2 + 3250*y = 0 for y.
0, 10, 65
Solve c**3 + 10*c**2 + 8*c - 64 = 0 for c.
-8, -4, 2
Suppose -2*i**5/7 + 6*i**4/7 + 2*i**3/7 - 22*i**2/7 + 24*i/7 - 8/7 = 0. What is i?
-2, 1, 2
Factor 5*r**2 - 235*r + 2730.
5*(r - 26)*(r - 21)
Let -30*t**5 - 212*t**4 - 430*t**3 - 240*t**2 + 40*t + 32 = 0. What is t?
-4, -2, -1, -2/5, 1/3
Factor -4*q**4 + 52*q**3 - 240*q**2 + 464*q - 320.
-4*(q - 5)*(q - 4)*(q - 2)**2
Let 5*o**5 + 55*o**4 + 180*o**3 + 80*o**2 - 320*o = 0. Calculate o.
-4, 0, 1
Factor -3*j**2 - 30*j + 33.
-3*(j - 1)*(j + 11)
Suppose 4*j**4 + 148*j**3 + 1088*j**2 + 2288*j + 1344 = 0. Calculate j.
-28, -6, -2, -1
Suppose -2*j**5/9 + 2*j**4/3 + 44*j**3/9 + 76*j**2/9 + 6*j + 14/9 = 0. What is j?
-1, 7
Factor 12*l**3 + 15195*l**2 + 4812066*l + 1202067.
3*(l + 633)**2*(4*l + 1)
Factor -2*h**4/3 - 14*h**3/3 + 2*h**2/3 + 14*h/3.
-2*h*(h - 1)*(h + 1)*(h + 7)/3
Factor -r**3/12 - 23*r**2/3 - 735*r/4 - 675/2.
-(r + 2)*(r + 45)**2/12
Solve 50*b**5/3 - 3520*b**4/9 + 2698*b**3/3 - 2308*b**2/3 + 2536*b/9 - 112/3 = 0 for b.
2/5, 2/3, 1, 21
Factor 2*u**4/13 - 12*u**3/13 + 16*u**2/13.
2*u**2*(u - 4)*(u - 2)/13
Determine h, given that 4*h**3/3 + 1164*h**2 + 253460*h - 763876/3 = 0.
-437, 1
Factor 2*b**2/21 + 244*b/21 + 7442/21.
2*(b + 61)**2/21
Find l, given that 2*l**4/11 + 16*l**3/11 - 8*l**2 + 96*l/11 = 0.
-12, 0, 2
Let -v**4 + 126*v**3 - 125*v**2 = 0. What is v?
0, 1, 125
Find t such that -5*t**3 + 103*t**2 - 498*t - 216 = 0.
-2/5, 9, 12
Let 81*f**3 - 234*f**2 + 160*f - 32 = 0. Calculate f.
4/9, 2
Suppose -27*r**4/4 - 27*r**3 - 87*r**2/4 - 9*r/2 = 0. What is r?
-3, -2/3, -1/3, 0
Factor 2*j**2 - 10412*j - 10414.
2*(j - 5207)*(j + 1)
Suppose -3*s**3 - 150*s**2 - 2211*s - 10164 = 0. What is s?
-28, -11
Factor -2*j**2/9 + 616*j/3 + 1850/9.
-2*(j - 925)*(j + 1)/9
Suppose t**4 - 8*t**2 + 16 = 0. Calculate t.
-2, 2
Factor -5*x**3 - 395*x**2 + 6265*x - 22785.
-5*(x - 7)**2*(x + 93)
Find v such that 2*v**5/3 + 130*v**4/3 - 268*v**3/3 + 4*v**2/3 + 266*v/3 - 134/3 = 0.
-67, -1, 1
Factor 494508*i**3/5 - 2436*i**2/5 + 3*i/5.
3*i*(406*i - 1)**2/5
Factor -2*a**2 + 1220*a - 186050.
-2*(a - 305)**2
Factor a**2 - 57*a + 306.
(a - 51)*(a - 6)
Determine s, given that 10*s**5/7 + 18*s**4/7 - 164*s**3/7 - 288*s**2/7 + 64*s/7 = 0.
-4, -2, 0, 1/5, 4
Solve 2*w**5 - 12*w**4 - 18*w**3 + 108*w**2 = 0.
-3, 0, 3, 6
Factor 10*r**2 + 935*r - 470.
5*(r + 94)*(2*r - 1)
Factor i**5/2 - 5*i**4/2 - 3*i**3.
i**3*(i - 6)*(i + 1)/2
Find v such that -2*v**2/11 + 134*v/11 = 0.
0, 67
Let 2*m**5/3 + 80*m**4 - 244*m**3/3 - 80*m**2 + 242*m/3 = 0. Calculate m.
-121, -1, 0, 1
Let -5*n**4 - 120*n**3 - 945*n**2 - 2950*n - 3000 = 0. Calculate n.
-12, -5, -2
Determine w so that 140*w**5 + 715*w**4 + 630*w**3 + 35*w**2 - 20*w = 0.
-4, -1, -1/4, 0, 1/7
Determine o, given that -8*o**2/7 - 1786*o/7 - 446/7 = 0.
-223, -1/4
Find a such that 2*a**2 - 236*a + 234 = 0.
1, 117
Factor -9*i**4/4 - 23457*i**3/2 - 61105477*i**2/4 + 20384133*i - 6796449.
-(i + 2607)**2*(3*i - 2)**2/4
Solve 3*v**5/5 + 12*v**4/5 - 123*v**3/5 - 168*v**2/5 + 444*v/5 + 96 = 0.
-8, -2, -1, 2, 5
Factor i**3/7 + 341*i**2/7 - 685*i/7 + 49.
(i - 1)**2*(i + 343)/7
Factor r**4/8 - 21*r**3/8 + 135*r**2/8 - 351*r/8 + 81/2.
(r - 12)*(r - 3)**3/8
Factor 3*j**3/8 - 39*j**2/4 + 555*j/8 - 150.
3*(j - 16)*(j - 5)**2/8
Factor 2*f**2 - 16*f - 40.
2*(f - 10)*(f + 2)
Factor -k**4/3 + 253*k**3/3 - 251*k**2 + 751*k/3 - 250/3.
-(k - 250)*(k - 1)**3/3
What is o in 2*o**4 + 43*o**3 + 122*o**2 - 72*o = 0?
-18, -4, 0, 1/2
Factor -3*n**3 - 105*n**2 - 741*n + 3249.
-3*(n - 3)*(n + 19)**2
Let -18*b**5 + 111*b**4 - 228*b**3 + 144*b**2 + 48*b - 48 = 0. What is b?
-1/2, 2/3, 2
Solve 3*h**3/7 - 834*h**2/7 + 8160*h + 16800 = 0.
-2, 140
Factor 2*k**2 + 14*k - 396.
2*(k - 11)*(k + 18)
Determine s, given that s**4 + 12*s**3 - 46*s**2 - 12*s + 45 = 0.
-15, -1, 1, 3
Factor -18*s**4 + 1158*s**3 - 1520*s**2 + 504*s.
-2*s*(s - 63)*(3*s - 2)**2
Factor 2*d**2 + 846*d/5 + 504/5.
2*(d + 84)*(5*d + 3)/5
Factor k**3 + 81*k**2.
k**2*(k + 81)
What is h in 3*h**5 + 141*h**4 - 759*h**3 + 1083*h**2 - 468*h = 0?
-52, 0, 1, 3
Factor i**2/3 + 25*i/3 + 48.
(i + 9)*(i + 16)/3
Factor -2*w**3 + 76*w**2 + 158*w + 80.
-2*(w - 40)*(w + 1)**2
Factor -p**2/7 - 2*p/7 - 1/7.
-(p + 1)**2/7
Suppose -u**5/3 - u**4 + 17*u**3/3 + 13*u**2 + 20*u/3 = 0. What is u?
-5, -1, 0, 4
What is n in -n**3/3 + 2*n**2 + n/3 - 2 = 0?
-1, 1, 6
Factor i**2 + 23*i - 738.
(i - 18)*(i + 41)
Solve 686*q**5 + 107604*q**4 - 235326*q**3 - 254252*q**2 - 7764