/7, 1, 192
Suppose -7*z**3/4 - 262*z**2 + 75*z = 0. Calculate z.
-150, 0, 2/7
Factor -3*v**3 - 36*v**2 + 129*v - 90.
-3*(v - 2)*(v - 1)*(v + 15)
Factor o**2/2 - 161*o + 25921/2.
(o - 161)**2/2
Factor -s**4/5 + s**3/5 + s**2/5 - s/5.
-s*(s - 1)**2*(s + 1)/5
Find a such that -4*a**3/7 - 12*a**2/7 + 16*a/7 = 0.
-4, 0, 1
Solve x**3/2 + 1167*x**2/2 + 453963*x/2 + 58863869/2 = 0.
-389
Solve 4*z**4 - 60*z**3 + 264*z**2 - 464*z + 288 = 0.
2, 9
Suppose 2*k**2 - 142*k + 140 = 0. Calculate k.
1, 70
Let -6*n**3/5 - 28*n**2/5 = 0. What is n?
-14/3, 0
Suppose 45*f**2 - 4285*f + 950 = 0. Calculate f.
2/9, 95
Factor 9*l**3 + 498*l**2 - 1380*l + 696.
3*(l - 2)*(l + 58)*(3*l - 2)
Factor -2*o**3/9 - 22*o**2/3 - 36*o.
-2*o*(o + 6)*(o + 27)/9
Factor -3*s**2 + 99*s + 102.
-3*(s - 34)*(s + 1)
Factor j**3/7 - 8*j**2/7 + j.
j*(j - 7)*(j - 1)/7
Solve -y**3/2 + 14*y**2 - 91*y/2 - 60 = 0.
-1, 5, 24
Let y**3/10 - 2*y**2 + 123*y/10 - 108/5 = 0. Calculate y.
3, 8, 9
Determine k so that 5*k**5 - 40*k**4 - 375*k**3 - 610*k**2 - 280*k = 0.
-4, -1, 0, 14
Factor g**2/3 + 101*g/3 - 104.
(g - 3)*(g + 104)/3
Factor 3*h**4/7 + 87*h**3/7 + 138*h**2/7 - 648*h/7.
3*h*(h - 2)*(h + 4)*(h + 27)/7
Determine w, given that -5*w**4 - 70*w**3 - 315*w**2 - 530*w - 280 = 0.
-7, -4, -2, -1
Find k, given that -4*k**5/9 - 20*k**4/3 - 152*k**3/9 - 32*k**2/3 = 0.
-12, -2, -1, 0
Solve z**5/10 + 25*z**4/2 + 2043*z**3/5 + 5519*z**2/5 - 4087*z/10 - 11163/10 = 0.
-61, -3, -1, 1
Solve 2*t**2/11 + 532*t/11 + 35378/11 = 0 for t.
-133
Determine a so that -a**3/5 - 988*a**2/5 - 244036*a/5 = 0.
-494, 0
Find l such that 3*l**5/2 - 51*l**4/2 + 21*l**3 + 795*l**2 + 1683*l/2 - 3267/2 = 0.
-3, 1, 11
Determine h, given that 3*h**5 - 18*h**4 + 15*h**3 = 0.
0, 1, 5
Factor 2*m**5 - 14*m**3 - 12*m**2.
2*m**2*(m - 3)*(m + 1)*(m + 2)
Factor -t**4/2 - 17*t**3/2 - 8*t**2.
-t**2*(t + 1)*(t + 16)/2
Let 3*m**5/2 - 189*m**4/2 - 2079*m**3/2 - 7923*m**2/2 - 6516*m - 3942 = 0. What is m?
-3, -2, 73
Suppose -3*a**2/2 - 51*a/2 - 45 = 0. What is a?
-15, -2
Factor 2*p**4 - 40*p**3.
2*p**3*(p - 20)
Factor -196*s**3/3 + 6188*s**2/3 - 3488*s/3 + 496/3.
-4*(s - 31)*(7*s - 2)**2/3
Find h such that 3*h**2/2 - 39*h/2 + 60 = 0.
5, 8
Factor -3*u**3/8 - 69*u**2/4 + 285*u/8 - 18.
-3*(u - 1)**2*(u + 48)/8
Factor 4*k**3 + 92*k**2 + 108*k - 1260.
4*(k - 3)*(k + 5)*(k + 21)
Factor 9*q**4 - 96*q**3 + 360*q**2 - 576*q + 336.
3*(q - 2)**3*(3*q - 14)
Factor 7*r**2 + 50*r + 72.
(r + 2)*(7*r + 36)
Let -4*p**4 + 76*p**3 - 396*p**2 + 324*p = 0. What is p?
0, 1, 9
Solve -2*k**2 + 804*k - 80802 = 0 for k.
201
Let -2*b**2/5 - 19016*b/5 - 45201032/5 = 0. Calculate b.
-4754
Factor -b**2/4 + 7*b - 75/4.
-(b - 25)*(b - 3)/4
Factor 5*n**3 - 40*n**2 + 105*n - 90.
5*(n - 3)**2*(n - 2)
Solve -3*r**2/5 + 36*r/5 - 12 = 0.
2, 10
Solve -5*a**2 + 60*a - 175 = 0 for a.
5, 7
Factor 2*g**2 - 34*g - 76.
2*(g - 19)*(g + 2)
Suppose 6*y**3 + 23*y**2 - 4*y = 0. Calculate y.
-4, 0, 1/6
Solve 228*k**3 - 459*k**2 + 6*k = 0 for k.
0, 1/76, 2
Factor 3*l**2/2 - 7767*l + 20108763/2.
3*(l - 2589)**2/2
Factor 3*j**4/5 + 162*j**3/5 + 468*j**2/5 + 462*j/5 + 153/5.
3*(j + 1)**3*(j + 51)/5
Find z such that z**2 + 24*z + 23 = 0.
-23, -1
Determine l, given that -3*l**2 + 747*l - 744 = 0.
1, 248
Suppose j**2/2 - 131*j/2 + 65 = 0. Calculate j.
1, 130
Find x, given that -5*x**5 + 50*x**4 - 140*x**3 + 120*x**2 = 0.
0, 2, 6
What is m in -200*m**5 - 6840*m**4 - 1162*m**3 + 6772*m**2 + 1362*m + 68 = 0?
-34, -1, -1/10, 1
Determine w so that w**2 - 6*w - 72 = 0.
-6, 12
What is m in 25*m**5 - 180*m**4 + 285*m**3 - 50*m**2 = 0?
0, 1/5, 2, 5
What is k in 5*k**3 + 35*k**2 + 55*k + 25 = 0?
-5, -1
Factor 3*p**5 + 33*p**4 + 102*p**3 + 138*p**2 + 87*p + 21.
3*(p + 1)**4*(p + 7)
Find x such that -5*x**4 - 315*x**3 - 5115*x**2 - 4805*x = 0.
-31, -1, 0
Solve 4*q**2 - 144*q - 2304 = 0.
-12, 48
Solve -2*g**4 + 6*g**2 - 4*g = 0 for g.
-2, 0, 1
Solve -j**3 + 11*j**2 + 46*j - 560 = 0.
-7, 8, 10
Factor -3*z**4 + 363*z**3.
-3*z**3*(z - 121)
Factor 16*x**2 - 7268*x + 1816.
4*(x - 454)*(4*x - 1)
Factor 2*f**3/11 - 8*f**2/11 - 478*f/11 - 468/11.
2*(f - 18)*(f + 1)*(f + 13)/11
Solve -k**5/4 + k**4/2 + k**3/4 - k**2/2 = 0 for k.
-1, 0, 1, 2
What is g in g**2/6 - 5*g/2 - 38/3 = 0?
-4, 19
What is i in -3721*i**2/8 - 61*i/4 - 1/8 = 0?
-1/61
Suppose 69*a**4 + 66*a**3 - 3*a**2 = 0. Calculate a.
-1, 0, 1/23
Solve g**2 - 35*g - 74 = 0.
-2, 37
Solve -3*g**2 - 285*g - 282 = 0 for g.
-94, -1
Factor 8*h**4/19 - 10*h**3/19 - 4*h**2/19 + 6*h/19.
2*h*(h - 1)**2*(4*h + 3)/19
What is v in 2*v**2 - 48*v - 50 = 0?
-1, 25
Factor 2*a**2 - 816*a + 83232.
2*(a - 204)**2
Find v such that -v**5/4 - 11*v**4/2 - 13*v**3 + 49*v**2/2 + 53*v/4 - 19 = 0.
-19, -4, -1, 1
Factor 52*u**3/5 - 53*u**2/5 - 103*u/5 + 2/5.
(u - 2)*(u + 1)*(52*u - 1)/5
Factor -z**2/3 - 4*z + 15.
-(z - 3)*(z + 15)/3
Factor 2*b**2/3 - 56*b/3 - 136.
2*(b - 34)*(b + 6)/3
Factor -n**4/4 - 17*n**3/4 + 46*n**2 - 100*n.
-n*(n - 4)**2*(n + 25)/4
Find w such that 36*w**4 - 537*w**3 + 1344*w**2 - 1023*w + 180 = 0.
1/4, 1, 5/3, 12
What is c in c**4/4 + 5*c**3/4 + 7*c**2/4 + 3*c/4 = 0?
-3, -1, 0
What is v in -v**3 + 22*v**2 - 145*v + 300 = 0?
5, 12
Factor -v**4/2 + 5*v**3/2 - v**2/2 - 21*v/2 + 9.
-(v - 3)**2*(v - 1)*(v + 2)/2
Factor -2*a**3 + 2098*a**2 - 4190*a + 2094.
-2*(a - 1047)*(a - 1)**2
Determine y, given that y**3 - 23*y**2 + 43*y - 21 = 0.
1, 21
Factor 12*y**4 + 28*y**3 - 172*y**2 - 60*y.
4*y*(y - 3)*(y + 5)*(3*y + 1)
Find h, given that 4*h**3 - 24*h**2 = 0.
0, 6
Factor 3*o**2 - 32700*o + 89107500.
3*(o - 5450)**2
Factor -t**3/5 - 2*t**2/5 + t/5 + 2/5.
-(t - 1)*(t + 1)*(t + 2)/5
Determine x so that -3*x**2 - 282*x - 279 = 0.
-93, -1
Factor 3*z**5/2 - 3*z**4 - 30*z**3 + 12*z**2 + 192*z + 192.
3*(z - 4)**2*(z + 2)**3/2
What is d in 5*d**3 - 70*d**2 + 285*d - 360 = 0?
3, 8
Solve -10*n**2 - 76*n + 32 = 0.
-8, 2/5
Find v, given that 2*v**5/17 - 16*v**3/17 - 12*v**2/17 + 14*v/17 + 12/17 = 0.
-2, -1, 1, 3
Determine a, given that a**2/6 + 80*a/3 = 0.
-160, 0
Factor 3*y**2/4 - 177*y/2 + 2943/4.
3*(y - 109)*(y - 9)/4
Let -10*b**5 - 52*b**4 - 70*b**3 - 12*b**2 = 0. Calculate b.
-3, -2, -1/5, 0
Factor -50*b**5/9 + 196*b**4/9 - 284*b**3/9 + 176*b**2/9 - 34*b/9 - 4/9.
-2*(b - 1)**4*(25*b + 2)/9
Factor -9*t**2 + 2031*t + 678.
-3*(t - 226)*(3*t + 1)
Suppose 3*w**4/7 + 36*w**3/7 + 30*w**2/7 - 36*w/7 - 33/7 = 0. What is w?
-11, -1, 1
Factor -o**5/10 + 8*o**4/5 + 27*o**3/5 + 28*o**2/5 + 19*o/10.
-o*(o - 19)*(o + 1)**3/10
Solve -15*t**4 + 3890*t**3 + 2600*t**2 = 0.
-2/3, 0, 260
Find l, given that l**3/5 - 339*l**2 + 719103*l/5 - 717409/5 = 0.
1, 847
Determine v so that -2*v**2/25 + 6508*v/25 - 5294258/25 = 0.
1627
Factor 2*n**2/9 - 4700*n/9 + 2761250/9.
2*(n - 1175)**2/9
Let -2*t**4 - 356*t**3 - 352*t**2 + 356*t + 354 = 0. Calculate t.
-177, -1, 1
Factor -3*j**3/5 + 6*j**2/5 + 21*j/5 + 12/5.
-3*(j - 4)*(j + 1)**2/5
Factor 2*w**3/9 - 34*w**2/3 - 104*w/9.
2*w*(w - 52)*(w + 1)/9
Factor -8*s**3 + 2994*s**2 - 280500*s + 69938.
-2*(s - 187)**2*(4*s - 1)
Factor 3*w**2/8 - 27*w/8.
3*w*(w - 9)/8
Factor -o**5/3 + 10*o**4/3 - 11*o**3 + 40*o**2/3 - 16*o/3.
-o*(o - 4)**2*(o - 1)**2/3
Factor -3*z**4 - 2886*z**3 + 3*z**2 + 2886*z.
-3*z*(z - 1)*(z + 1)*(z + 962)
Let 2*t**2/3 + 724*t/3 - 976 = 0. Calculate t.
-366, 4
Factor -2*f**3/9 + 8*f**2/3 + 86*f/9 + 20/3.
-2*(f - 15)*(f + 1)*(f + 2)/9
Let -2*v**3/7 - 96*v**2/7 + 864*v/7 - 256 = 0. What is v?
-56, 4
Determine l, given that 4*l**4 - 196*l**3 + 2676*l**2 - 6716*l + 4232 = 0.
1, 2, 23
Find l such that -5*l**4 + 15*l**3 - 5*l**2 - 15*l + 10 = 0.
-1, 1, 2
What is v in -5*v**5 - 275*v**4 - 3000*v**3 + 22500*v**2 = 0?
-30, 0, 5
Factor -2*k**2 + 50*k - 312.
-2*(k - 13)*(k - 12)
Solve -n**4 + 9*n**3 + 11*n**2 - 9*n - 10 = 0.
-1, 1, 10
Factor -z**4/3 + 25*z**3/3 - 143*z**2/3 - 169*z/3.
-z*(z - 13)**2*(z + 1)/3
Determine z, given that z**2 + 8*z - 9 = 0.
-9, 1
Factor b**2 - 121*b.
b*(b - 121)
Factor -5*a**3 - 15*a**2 + 540*a + 1100.
-5*(a - 10)*(a + 2)*(a + 11)
Factor k**4/7 + 7*k**3 + 704*k**2/7 + 2420*k/7.
k*(k + 5)*(k + 22)**2/7
Factor j**4 + 6*j**3 + 5*j**2.
j**2*(j + 1)*(j + 5)
Find z, given that 2*z**5/7 + 16*z**4 + 1768*z**3/7 + 5408*z**2/7 = 0.
-26, -4, 0
Suppose 2*f**4/11 + 4*f**3/11 - 6*f**2/11 - 8*f/11 + 8/11 = 0. What is f?
-2, 1
Suppose -2*p**5 + 136*p**4 + 278*