*2 - 1220*b - 74420.
-5*(b + 122)**2
Factor -4*i**4/7 + 16*i**3/7 - 12*i**2/7.
-4*i**2*(i - 3)*(i - 1)/7
Suppose -3*x**4/4 + 3*x**3/4 + 363*x**2/4 - 1407*x/4 - 441 = 0. What is x?
-12, -1, 7
Factor 2*o**5/3 + 88*o**4/3 + 730*o**3/3 + 1700*o**2/3.
2*o**2*(o + 5)**2*(o + 34)/3
Let 4*u**3 - 448*u**2 = 0. What is u?
0, 112
Factor 4*p**2 - 5864*p + 2149156.
4*(p - 733)**2
Let -2*v**4/3 + 212*v**3/3 - 1942*v**2 + 11024*v/3 - 5408/3 = 0. Calculate v.
1, 52
Find o, given that -3*o**5 + 27*o**4 + 51*o**3 - 567*o**2 - 588*o = 0.
-4, -1, 0, 7
Factor -2*l**2/17 - 938*l/17 - 936/17.
-2*(l + 1)*(l + 468)/17
Factor -r**2 + 482*r - 1912.
-(r - 478)*(r - 4)
Determine r, given that -3*r**4/5 + 183*r**3/5 + 387*r**2/5 - 567*r/5 = 0.
-3, 0, 1, 63
Factor -2*x**2/5 + 128*x.
-2*x*(x - 320)/5
Suppose 5*h**3 - 1995*h**2 + 265335*h - 11763185 = 0. Calculate h.
133
Factor 2*a**4 + 54*a**3 + 312*a**2 + 664*a + 480.
2*(a + 2)**2*(a + 3)*(a + 20)
Solve 5*s**4/2 + 75*s**3/4 + 25*s**2/4 - 75*s/4 - 35/4 = 0.
-7, -1, -1/2, 1
Factor -x**4/4 - x**3 + 3*x**2/4 + 7*x/2 + 2.
-(x - 2)*(x + 1)**2*(x + 4)/4
Determine g so that g**4/2 - 4*g**3 + 11*g**2 - 12*g + 9/2 = 0.
1, 3
Factor 5*z**3 + 11905*z**2 + 7080495*z - 7092405.
5*(z - 1)*(z + 1191)**2
Let -3*n**5 + 24*n**4 - 36*n**3 - 66*n**2 + 87*n + 90 = 0. What is n?
-1, 2, 3, 5
Find p, given that -5*p**2/3 + 85*p/3 + 30 = 0.
-1, 18
Determine f, given that 2*f**3 - 244*f**2/5 - 154*f/5 + 20 = 0.
-1, 2/5, 25
Factor -m**2/4 + 95*m/2 + 96.
-(m - 192)*(m + 2)/4
Determine b so that -b**3/4 + 55*b**2/2 - 832*b + 4056 = 0.
6, 52
Let -2*t**2/13 - 14*t/13 - 24/13 = 0. What is t?
-4, -3
Let -4*x**4/7 - 12*x**3/7 + 36*x**2/7 + 92*x/7 + 48/7 = 0. What is x?
-4, -1, 3
Factor 3*b**2 + 36*b + 108.
3*(b + 6)**2
Suppose -3*n**2/4 + 81*n/2 - 159/4 = 0. Calculate n.
1, 53
Factor 5*j**3/4 - 1785*j**2/4 + 212415*j/4 - 8425795/4.
5*(j - 119)**3/4
Find z, given that 2*z**4 + 8*z**3 - 4*z**2 - 24*z + 18 = 0.
-3, 1
Determine z, given that 5*z**2 - 41430*z + 85822245 = 0.
4143
Factor -s**2/2 - 752*s - 282752.
-(s + 752)**2/2
What is m in 2*m**3/3 + 580*m**2/3 - 194*m = 0?
-291, 0, 1
Solve -o**3 + 13*o**2 - 44*o + 32 = 0.
1, 4, 8
Determine o, given that -3*o**5 + 18*o**4 + 30*o**3 - 60*o**2 - 27*o + 42 = 0.
-2, -1, 1, 7
Solve -2*k**5 - 18*k**4 - 50*k**3 - 30*k**2 + 52*k + 48 = 0 for k.
-4, -3, -2, -1, 1
Suppose 5*r**3 - 60*r - 80 = 0. What is r?
-2, 4
Determine l so that 5540643*l**3/4 - 4077*l**2 + 3*l = 0.
0, 2/1359
Factor d**2/4 + 10*d + 100.
(d + 20)**2/4
Let 2*b**2/11 + 50*b/11 - 168/11 = 0. Calculate b.
-28, 3
Find c, given that 115*c**3/12 + 57*c**2/4 + 5*c + 1/3 = 0.
-1, -2/5, -2/23
Determine u, given that -5*u**2 - 350*u - 6125 = 0.
-35
Solve 60*h**2 + 352*h - 48 = 0.
-6, 2/15
Factor -3*k**2/2 - 1179*k + 2364.
-3*(k - 2)*(k + 788)/2
Determine u, given that 13828827*u**2 + 12882*u + 3 = 0.
-1/2147
Solve -2*h**4/3 - 16*h**3/3 + 6*h**2 = 0 for h.
-9, 0, 1
Let u**4/5 - u**3/5 - 21*u**2/5 + 41*u/5 - 4 = 0. Calculate u.
-5, 1, 4
Determine a, given that a**2/4 + 1148*a + 1317904 = 0.
-2296
Determine m, given that 3*m**2/8 - 66*m = 0.
0, 176
Determine o, given that -2*o**5/5 + 34*o**4/5 - 166*o**3/5 + 254*o**2/5 + 96*o/5 - 72 = 0.
-1, 2, 3, 10
Factor 2*b**3 - 136*b**2 + 2730*b - 17100.
2*(b - 38)*(b - 15)**2
Factor m**3/3 - 20*m**2/3 - 3*m + 60.
(m - 20)*(m - 3)*(m + 3)/3
Solve -1083*c**2 - 684*c - 108 = 0.
-6/19
Factor -2*b**3/9 - 34*b**2/9 + 74*b/9 - 38/9.
-2*(b - 1)**2*(b + 19)/9
Factor -b**3 - 34*b**2 + 35*b.
-b*(b - 1)*(b + 35)
Factor -3*j**3 - 54*j**2 - 288*j - 384.
-3*(j + 2)*(j + 8)**2
Factor -x**4/3 + 40*x**3/3 + 57*x**2 + 218*x/3 + 88/3.
-(x - 44)*(x + 1)**2*(x + 2)/3
Find h such that 125*h**2 + 7850*h + 123245 = 0.
-157/5
Find v such that 3*v**2 - 951*v - 5814 = 0.
-6, 323
Suppose -2*b**2/9 - 82*b/3 - 80 = 0. What is b?
-120, -3
Factor -5*o**3 - 85*o**2 - 475*o - 875.
-5*(o + 5)**2*(o + 7)
Determine h so that -2*h**5/5 + 6*h**4/5 + 4*h**3/5 - 24*h**2/5 + 16*h/5 = 0.
-2, 0, 1, 2
Solve -4*s**2/3 + 1448*s/3 + 2912/3 = 0.
-2, 364
Solve 4*j**4 + 160*j**3 + 1748*j**2 + 2888*j = 0 for j.
-19, -2, 0
Factor 36501*a**3 + 47610*a**2 + 20700*a + 3000.
3*(23*a + 10)**3
Determine u so that -100*u**4 + 660*u**3 - 724*u**2 - 372*u - 40 = 0.
-1/5, 2, 5
Factor -o**4 - 983*o**3 - 239100*o**2 + 1216228*o - 976144.
-(o - 4)*(o - 1)*(o + 494)**2
Determine x, given that 4*x**3 + 92*x**2 - 312*x = 0.
-26, 0, 3
Find u, given that 3*u**5 - 9*u**4 - 3*u**3 + 21*u**2 - 12 = 0.
-1, 1, 2
Solve 3*q**5/4 - 3645*q**4/4 + 1476225*q**3/4 - 199290375*q**2/4 = 0 for q.
0, 405
Suppose -33*t**4/7 - 48*t**3/7 + 303*t**2/7 + 282*t/7 - 72 = 0. What is t?
-3, -2, 1, 28/11
Suppose 4*r**3/7 + 5632*r**2/7 + 284012*r + 3953672/7 = 0. Calculate r.
-703, -2
Factor -5*v**2 - 25*v - 30.
-5*(v + 2)*(v + 3)
Factor 2*j**5/5 + 2*j**4/3 - 2*j**3/5 - 6*j**2/5 - 8*j/15.
2*j*(j + 1)**3*(3*j - 4)/15
Factor 14*h**2 + 106*h - 48.
2*(h + 8)*(7*h - 3)
Suppose 3*l**2/4 - 6*l + 45/4 = 0. Calculate l.
3, 5
Let -9*k**4/2 - 417*k**3/2 - 525*k**2/2 + 681*k/2 + 135 = 0. What is k?
-45, -2, -1/3, 1
Factor -y**4 - 31*y**3 - 264*y**2 - 684*y.
-y*(y + 6)**2*(y + 19)
What is t in 2*t**3/7 + 128*t**2/7 + 152*t - 34656/7 = 0?
-38, 12
Suppose 3*n**4 - 126*n**3 + 1440*n**2 - 4992*n = 0. Calculate n.
0, 8, 26
What is g in -4*g**3 - 1732*g**2 + 14048*g - 28224 = 0?
-441, 4
Find m such that -2*m**3/9 + 76*m**2/3 - 2888*m/3 + 109744/9 = 0.
38
Factor -w**3/3 + w**2/3 + 4*w/3 - 4/3.
-(w - 2)*(w - 1)*(w + 2)/3
Solve 2*n**5/3 - 770*n**4/3 + 118580*n**3/3 - 9130660*n**2/3 + 351530410*n/3 - 5413568314/3 = 0.
77
Factor -3*b**4 - 93*b**3 + 639*b**2 - 987*b + 444.
-3*(b - 4)*(b - 1)**2*(b + 37)
Suppose -8*d**4 + 12*d**3 + 56*d**2 - 60*d = 0. Calculate d.
-5/2, 0, 1, 3
Let 3*m**5 + 15*m**4 + 27*m**3 + 21*m**2 + 6*m = 0. What is m?
-2, -1, 0
Determine x so that -105*x**5 + 800*x**4 - 815*x**3 - 2700*x**2 - 580*x + 400 = 0.
-1, -2/3, 2/7, 4, 5
Let -35*d**5 + 130*d**4 - 65*d**3 - 170*d**2 + 100*d + 40 = 0. What is d?
-1, -2/7, 1, 2
Factor 9*t**5/4 + 17*t**4/2 + 7*t**3 - 2*t**2.
t**2*(t + 2)**2*(9*t - 2)/4
Suppose 3*c**2 - 12 = 0. What is c?
-2, 2
Factor -15*l**3 + 160*l**2 - 100*l.
-5*l*(l - 10)*(3*l - 2)
Factor 120*z**2 + 26*z - 1.
(4*z + 1)*(30*z - 1)
Solve -g**4/2 + 3*g**3 - 16*g = 0.
-2, 0, 4
Factor -5*s**4 - 10*s**3 + 40*s**2.
-5*s**2*(s - 2)*(s + 4)
Find w, given that -61*w**2/5 - 181*w/5 + 6/5 = 0.
-3, 2/61
Find z, given that 4*z**2 - 196 = 0.
-7, 7
Determine k, given that k**4 + 280*k**3 + 1656*k**2 + 3296*k + 2192 = 0.
-274, -2
Factor -2*l**2/11 - 6*l + 68/11.
-2*(l - 1)*(l + 34)/11
Solve v**3/2 - 163*v**2/2 + 3280*v + 3362 = 0 for v.
-1, 82
Determine h, given that -2*h**5/11 + 12*h**4/11 - 10*h**3/11 - 40*h**2/11 + 72*h/11 - 32/11 = 0.
-2, 1, 2, 4
Factor -4*a**2 - 5568*a - 1937664.
-4*(a + 696)**2
Solve -2*k**5 - 32*k**4 - 176*k**3 - 384*k**2 - 288*k = 0.
-6, -2, 0
Factor -v**2 - 3*v + 4.
-(v - 1)*(v + 4)
Let 2*s**2 + 68*s = 0. What is s?
-34, 0
Factor -3*q**5 + 417*q**4 - 19035*q**3 + 271707*q**2 + 622938*q.
-3*q*(q - 47)**3*(q + 2)
What is h in -h**2/4 + 3*h/4 + 1 = 0?
-1, 4
Let -4*v**2 + 614*v + 308 = 0. Calculate v.
-1/2, 154
Solve 9*a**2/4 + 219*a/8 - 195/8 = 0 for a.
-13, 5/6
Suppose -3*y**2/5 - 213*y/5 + 228 = 0. Calculate y.
-76, 5
Factor -5*q**4 - 25*q**3 + 15*q**2 + 65*q - 50.
-5*(q - 1)**2*(q + 2)*(q + 5)
Determine h, given that 2*h**4 + 44*h**3 + 154*h**2 + 184*h + 72 = 0.
-18, -2, -1
Factor 4*o**2 + 88*o - 92.
4*(o - 1)*(o + 23)
Factor 2*k**2/11 + 12*k/11.
2*k*(k + 6)/11
Factor -2*a**3 + 120*a**2 - 2250*a + 13500.
-2*(a - 30)*(a - 15)**2
Find p such that 4*p**5 + 24*p**4 + 52*p**3 + 48*p**2 + 16*p = 0.
-2, -1, 0
Factor -2*j**3 - 84*j**2 - 792*j + 1936.
-2*(j - 2)*(j + 22)**2
Factor 3*j**4 - 84*j**3 - 585*j**2 - 906*j - 408.
3*(j - 34)*(j + 1)**2*(j + 4)
Find j such that 105*j**4 + 2425*j**3 + 14510*j**2 + 26560*j + 2400 = 0.
-15, -4, -2/21
Determine m, given that m**5 + 36*m**4 + 284*m**3 - 758*m**2 - 285*m + 722 = 0.
-19, -1, 1, 2
Find t such that t**3 + 491*t**2 + 60515*t + 60025 = 0.
-245, -1
Factor -2*c**2/7 - 60*c - 3150.
-2*(c + 105)**2/7
Factor -c**3/5 - 198*c**2/5 - 9393*c/5 + 40804/5.
-(c - 4)*(c + 101)**2/5
Suppose 2*m**4 - 12*m**3 + 22*m**2 - 12*m = 0. Calculate m.
0, 1, 2, 3
Suppose -10*w**2/11 + 4522*w/11