j**3 - 33486834*j**2 - 66913560*j - 33446763.
-3*(j + 1)**2*(j + 3339)**2
Factor -9*i**2 + 147*i - 48.
-3*(i - 16)*(3*i - 1)
Determine k, given that -k**2/5 - 12*k - 576/5 = 0.
-48, -12
Let z**5/7 - 10*z**4/7 + 31*z**3/7 - 22*z**2/7 - 32*z/7 + 32/7 = 0. What is z?
-1, 1, 2, 4
Factor 3*i**2/4 - 213*i/4 + 153.
3*(i - 68)*(i - 3)/4
Factor 6*l**2 - 1018*l + 676.
2*(l - 169)*(3*l - 2)
Suppose -35*f**3 + 80*f**2 + 505*f - 150 = 0. Calculate f.
-3, 2/7, 5
What is f in -5*f**4/4 - 265*f**3/4 - 1215*f**2/4 - 675*f/4 + 540 = 0?
-48, -3, 1
Determine g, given that -2*g**2/9 + 20*g/3 - 352/9 = 0.
8, 22
Factor n**2 - 57*n - 58.
(n - 58)*(n + 1)
Factor -3*t**3 + 3159*t**2 - 1108809*t + 129730653.
-3*(t - 351)**3
What is a in a**3 + 2*a**2 - 15*a - 36 = 0?
-3, 4
Suppose -27*c**4/4 + 6*c**3 + 61*c**2/4 + c/2 - 2 = 0. What is c?
-1, -4/9, 1/3, 2
Find g, given that -g**3/2 + 33*g**2/2 - 121*g = 0.
0, 11, 22
Factor t**4/5 + 3*t**3/5 + t**2/5 - 3*t/5 - 2/5.
(t - 1)*(t + 1)**2*(t + 2)/5
Let -75*w**5 - 1655*w**4 - 9175*w**3 - 385*w**2 + 1210*w = 0. What is w?
-11, -2/5, 0, 1/3
Let -5*z**5 + 430*z**4 - 6060*z**3 - 150430*z**2 + 156065*z = 0. What is z?
-13, 0, 1, 49
Factor 4*y**2 - 25848*y + 41757444.
4*(y - 3231)**2
Determine t so that -2*t**5/3 - 46*t**4/3 - 32*t**3/3 + 272*t**2/3 + 160*t/3 - 352/3 = 0.
-22, -2, 1, 2
Find r such that 2*r**2 + 58*r - 2244 = 0.
-51, 22
Factor 3*y**4 + 18*y**3 + 36*y**2 + 24*y.
3*y*(y + 2)**3
Factor 4*k**3/5 + 14*k**2/5 + 4*k/5 - 6/5.
2*(k + 1)*(k + 3)*(2*k - 1)/5
Suppose y**2/10 - 113*y/5 - 227/10 = 0. What is y?
-1, 227
Factor 2*k**4/11 + 10*k**3/11 - 26*k**2/11 + 14*k/11.
2*k*(k - 1)**2*(k + 7)/11
Find r such that -3*r**4/2 + 129*r**3/2 - 249*r**2/2 + 123*r/2 = 0.
0, 1, 41
Suppose -x**3/6 - 34*x**2/3 + 533*x/6 + 100 = 0. What is x?
-75, -1, 8
Solve 3*r**3 - 39*r**2 - 327*r - 285 = 0 for r.
-5, -1, 19
Factor 3*j**2/4 - 27*j + 96.
3*(j - 32)*(j - 4)/4
Factor -4*g**4 + 8520*g**3 - 4545412*g**2 + 9065280*g - 4528384.
-4*(g - 1064)**2*(g - 1)**2
Factor 2*p**5/5 - 168*p**4/5 + 738*p**3 - 6724*p**2/5.
2*p**2*(p - 41)**2*(p - 2)/5
Factor -l**3 + 5*l**2/3 + 50*l/3.
-l*(l - 5)*(3*l + 10)/3
Factor -10*y**3/3 + 688*y**2/3 + 46*y.
-2*y*(y - 69)*(5*y + 1)/3
Factor 961*s**4/8 - 31*s**3 + 2*s**2.
s**2*(31*s - 4)**2/8
Suppose -2680*t**2 + 2686*t - 6 = 0. Calculate t.
3/1340, 1
Suppose -t**2/2 + 2203*t - 4853209/2 = 0. What is t?
2203
Suppose -5*q**4 - 20*q**3 + 95*q**2 - 70*q = 0. What is q?
-7, 0, 1, 2
Factor 3*x**3 + 51*x**2 - 54*x.
3*x*(x - 1)*(x + 18)
Suppose -c**3 + 57*c**2 - 1083*c + 6859 = 0. Calculate c.
19
Find y, given that -y**3/3 - 53*y**2/3 - 928*y/3 - 1792 = 0.
-21, -16
Factor 4*j**4 + 20*j**3 + 32*j**2 + 16*j.
4*j*(j + 1)*(j + 2)**2
Find k, given that -114*k**4 - 4762*k**3 + 5998*k**2 - 950*k - 172 = 0.
-43, -2/19, 1/3, 1
Suppose 3*u**5/2 - 26*u**4 - 441*u**3/2 - 459*u**2 - 216*u = 0. Calculate u.
-3, -2/3, 0, 24
Let -z**2/5 + 2852*z/5 - 2033476/5 = 0. Calculate z.
1426
Factor 30*m**4/13 + 17396*m**3/13 + 2520680*m**2/13 - 336400*m/13.
2*m*(m + 290)**2*(15*m - 2)/13
What is x in 8*x**4 + 34*x**3 - 33*x**2 - 14*x + 5 = 0?
-5, -1/2, 1/4, 1
Factor 2*w**4 - 70*w**3 - 1478*w**2 - 7658*w - 9996.
2*(w - 51)*(w + 2)*(w + 7)**2
Factor -2*i**2/3 + 44*i/3 - 242/3.
-2*(i - 11)**2/3
What is s in 24*s**5 + 762*s**4 + 19209*s**3/2 + 480327*s**2/8 + 744285*s/4 + 1829175/8 = 0?
-29/4, -5
What is x in -5*x**2/4 + 25*x/4 + 15/2 = 0?
-1, 6
Let 15*o**4 + 5*o**3 - 100*o**2 + 60*o = 0. Calculate o.
-3, 0, 2/3, 2
Suppose -2*l**3/5 - 36*l**2/5 - 118*l/5 + 156/5 = 0. Calculate l.
-13, -6, 1
Factor -3*v**3/4 + 315*v**2/2 - 8109*v - 16854.
-3*(v - 106)**2*(v + 2)/4
Factor 5*v**3/3 + 285*v**2 + 16245*v + 308655.
5*(v + 57)**3/3
Determine c so that 10*c**5/3 - 92*c**4/3 - 92*c**3/3 + 112*c**2/3 + 82*c/3 - 20/3 = 0.
-1, 1/5, 1, 10
Factor 1183*q**3/4 + 351*q**2/2 + 33*q + 2.
(7*q + 2)*(13*q + 2)**2/4
Factor -2*c**2 - 60*c + 518.
-2*(c - 7)*(c + 37)
Factor -j**4/4 - 5*j**3/4 - j**2/2 + 5*j + 6.
-(j - 2)*(j + 2)**2*(j + 3)/4
Factor -5*q**2/3 + 155*q - 460/3.
-5*(q - 92)*(q - 1)/3
Suppose -2*b**3 + 80*b**2 - 104*b - 1824 = 0. What is b?
-4, 6, 38
Solve 494*m**2/3 - 496*m + 6 = 0.
3/247, 3
Determine f so that -3*f**2 + 5178*f - 2234307 = 0.
863
What is s in 4*s**2 - 256*s - 528 = 0?
-2, 66
Determine q, given that 2*q**4/3 + 16*q**3/9 - 4*q**2/3 - 16*q/9 + 2/3 = 0.
-3, -1, 1/3, 1
Find d such that 2*d**2/11 - 10*d - 228/11 = 0.
-2, 57
Let 54*s**5 + 294*s**4 + 1196*s**3/3 - 640*s**2/3 - 1600*s/3 = 0. What is s?
-20/9, -2, 0, 1
Suppose 140*h**5 - 636*h**4 + 1263*h**3/4 - 379*h**2/8 + 3*h/2 = 0. Calculate h.
0, 3/70, 1/4, 4
Find t such that 8*t**5/7 + 36*t**4/7 - 68*t**3 + 988*t**2/7 - 732*t/7 + 176/7 = 0.
-11, 1/2, 1, 4
Factor 4*w**2 + 40*w - 576.
4*(w - 8)*(w + 18)
Solve 56*z**5/3 - 334*z**4/3 - 520*z**3/3 + 790*z**2/3 + 64*z/3 - 56/3 = 0.
-2, -2/7, 1/4, 1, 7
Find z, given that 128*z**4/9 - 1760*z**3/9 + 424*z**2/3 - 314*z/9 + 26/9 = 0.
1/4, 13
Factor -v**2 + 1197*v + 1198.
-(v - 1198)*(v + 1)
Suppose 3*d**3 - 4107*d**2 + 1403565*d + 1407675 = 0. What is d?
-1, 685
Suppose -18*i**3/7 + 213*i**2/7 + 6*i - 72/7 = 0. What is i?
-2/3, 1/2, 12
Factor x**3/11 + 39*x**2/11 - 172*x/11.
x*(x - 4)*(x + 43)/11
Solve -3698*w**2/9 + 172*w/3 - 2 = 0 for w.
3/43
Find a such that -a**3/7 - 2*a**2/7 + 3*a/7 = 0.
-3, 0, 1
Factor -4*z**5 + 28*z**4 + 8*z**3 - 184*z**2 - 260*z - 100.
-4*(z - 5)**2*(z + 1)**3
Determine b, given that -5*b**2 + 405*b + 830 = 0.
-2, 83
Determine n so that -6*n**4 + 21*n**3 + 33*n**2 - 66*n - 72 = 0.
-3/2, -1, 2, 4
What is h in -3*h**3/5 - 24*h**2/5 - 63*h/5 - 54/5 = 0?
-3, -2
Suppose -l**5/6 + l**4/2 = 0. Calculate l.
0, 3
Find z, given that -9*z**5 - 1329*z**4 + 3152*z**3 + 280*z**2 - 2992*z + 1200 = 0.
-150, -1, 2/3, 2
What is m in -m**5/8 - m**4/8 + 2*m**3 + 2*m**2 = 0?
-4, -1, 0, 4
Factor -12*j**2 - 440*j - 700.
-4*(j + 35)*(3*j + 5)
Factor 2*v**2 - 18*v + 28.
2*(v - 7)*(v - 2)
Suppose -5*c**4 + 775*c**3 - 3785*c**2 + 5265*c - 2250 = 0. Calculate c.
1, 3, 150
Factor 2*r**2/5 - 6148*r/5 + 4724738/5.
2*(r - 1537)**2/5
Suppose -4*l**5 - 36*l**4 - 44*l**3 + 84*l**2 = 0. What is l?
-7, -3, 0, 1
Factor 7*k**3 + 12*k**2 - 25*k + 6.
(k - 1)*(k + 3)*(7*k - 2)
Let 4*q**4 - 28*q**3 + 52*q**2 + 12*q - 72 = 0. What is q?
-1, 2, 3
Factor -55*j**4 + 95*j**3 - 40*j**2.
-5*j**2*(j - 1)*(11*j - 8)
What is m in -10*m**2/11 + 1054*m/11 = 0?
0, 527/5
Find n, given that 4*n**3 - 52*n**2 + 88*n = 0.
0, 2, 11
Factor 5*b**2 + 7330*b - 7335.
5*(b - 1)*(b + 1467)
Solve -15*s**4 - 230*s**3 + 1815*s**2 + 630*s = 0.
-21, -1/3, 0, 6
Factor c**2 - 13*c + 40.
(c - 8)*(c - 5)
Solve -30*q**4 - 395*q**3 + 360*q**2 + 135*q - 70 = 0.
-14, -1/2, 1/3, 1
Find h such that 6*h**3 + 81*h**2/2 + 123*h/2 - 18 = 0.
-4, -3, 1/4
What is s in -75*s**3 + 12*s**2 + 300*s - 48 = 0?
-2, 4/25, 2
Solve 3*z**4 + 6*z**3 - 39*z**2 - 42*z + 72 = 0.
-4, -2, 1, 3
Let -3*t**2 + 150*t - 1875 = 0. Calculate t.
25
Determine j, given that 9*j**2/5 - 14*j - 16/5 = 0.
-2/9, 8
Solve -5*a**2 - 2015*a - 6000 = 0.
-400, -3
Factor 133*a**3/6 - 88*a**2 - 14*a/3 + 8.
(a - 4)*(7*a - 2)*(19*a + 6)/6
Let p**5/7 + 15*p**4/7 + 27*p**3/7 - 131*p**2/7 - 288*p/7 - 144/7 = 0. Calculate p.
-12, -4, -1, 3
Let 5*x**2 - 40*x - 1045 = 0. What is x?
-11, 19
Solve 25*s**3 + 30*s**2 + 9*s = 0.
-3/5, 0
Factor 12*j**2 + 471*j - 861.
3*(j + 41)*(4*j - 7)
Let -10*l**4/3 + 322*l**3/3 + 2216*l**2/3 - 152*l = 0. Calculate l.
-6, 0, 1/5, 38
Determine l so that -4*l**4/21 + 2*l**3/3 + 18*l**2/7 - 6*l - 54/7 = 0.
-3, -1, 3, 9/2
Find p such that 6*p**2 - 34*p - 12 = 0.
-1/3, 6
Factor -9*f**4/5 + 16*f**3/5 - f**2 - 2*f/5.
-f*(f - 1)**2*(9*f + 2)/5
Determine g, given that 2*g**4/17 + 4*g**3/17 - 6*g**2/17 = 0.
-3, 0, 1
What is t in -2*t**4/5 + 4*t**3/5 + 26*t**2/5 - 28*t/5 - 48/5 = 0?
-3, -1, 2, 4
Factor v**3 + 6*v**2 - 15*v + 8.
(v - 1)**2*(v + 8)
Determine f so that -12*f**5 - 100*f**4 - 140*f**3 + 180*f**2 + 72*f = 0.
-6, -3, -1/3, 0, 1
Suppose 2*j**4/7 + 6*j**3/7 - 18*j**2/7 - 46*j/7 - 24/7 = 0. Calculate j.
-4, -1, 3
Factor -i**4/6 - i**3/2 + 23*i**2/6 - 11*i/2 + 7/3.
-(i - 2)*(i - 1)**2*(i + 7)/6
Solve -4*u**3 + 16*u**2 + 112*u + 128 = 0 for u.
-2, 8
What is s in 2*s**3/13 - 518*s/13 + 1020/13 = 0?
-17, 2, 15
Find i, given that 132*i**3 + 3*i**2 = 0.
-