?
-18, 77
What is z in 5*z**2/4 + 5675*z/2 + 6441125/4 = 0?
-1135
Find o, given that 5*o**3 - 95*o**2 - 5*o + 95 = 0.
-1, 1, 19
Factor 4*s**3/9 + 8*s**2/9 - 4*s/3.
4*s*(s - 1)*(s + 3)/9
What is a in 64*a**4 - 1600*a**3 + 4220*a**2 + 100*a - 264 = 0?
-1/4, 1/4, 3, 22
Factor l**2 + 2912*l + 2119936.
(l + 1456)**2
Factor 2*m**3 - 326*m**2 - 658*m - 330.
2*(m - 165)*(m + 1)**2
Let 4*n**5 + 136*n**4 - 12*n**3 - 400*n**2 + 272*n = 0. Calculate n.
-34, -2, 0, 1
Solve 2*n**3 - 416*n**2 = 0 for n.
0, 208
What is c in -9*c**5 + 3324*c**4 - 406236*c**3 + 16057008*c**2 + 45205440*c + 22879488 = 0?
-2, -2/3, 124
Factor -2*i**3/13 - 66*i**2/13 + 72*i/13 + 136/13.
-2*(i - 2)*(i + 1)*(i + 34)/13
Suppose f**4/3 - f**3 - 23*f**2/3 - 11*f - 14/3 = 0. What is f?
-2, -1, 7
Let 18*a**3/17 - 5808*a**2/17 + 3866*a/17 - 644/17 = 0. What is a?
1/3, 322
Let -4*g**2/3 + 152*g = 0. Calculate g.
0, 114
Determine v so that v**4 + 5*v**3 + 9*v**2 + 7*v + 2 = 0.
-2, -1
Factor 500*y**3 - 600*y**2 - 495*y + 605.
5*(y + 1)*(10*y - 11)**2
Solve -q**3 + 2*q**2 + 100*q - 200 = 0.
-10, 2, 10
Suppose k**3/7 + 96*k**2/7 - 97*k/7 = 0. What is k?
-97, 0, 1
Find d, given that -2*d**3/11 - 8*d**2 - 768*d/11 + 4608/11 = 0.
-24, 4
Factor o**3/2 - 17*o**2/2 + 23*o + 84.
(o - 12)*(o - 7)*(o + 2)/2
Factor 2*g**3/7 - 138*g**2/7 + 2880*g/7 - 18944/7.
2*(g - 37)*(g - 16)**2/7
Determine d so that 2*d**4/15 - 14*d**3/5 + 286*d**2/15 - 266*d/5 + 264/5 = 0.
3, 4, 11
Factor -3*o**3/5 - 36*o**2/5 + 81*o/5 - 42/5.
-3*(o - 1)**2*(o + 14)/5
Factor -2*v**4 + 78*v**3 - 76*v**2.
-2*v**2*(v - 38)*(v - 1)
Factor 2*r**2 + 6020*r + 4530050.
2*(r + 1505)**2
Find r, given that 5*r**3 - 10*r**2 - 475*r - 1500 = 0.
-5, 12
Factor 50*j**3/3 - 454*j**2/9 + 104*j/3 - 8/9.
2*(j - 2)*(j - 1)*(75*j - 2)/9
Factor -x**3/6 + 2*x**2 - 7*x/2 + 5/3.
-(x - 10)*(x - 1)**2/6
Factor -2*v**2/11 - 6*v/11 + 20/11.
-2*(v - 2)*(v + 5)/11
Factor 2*k**2/3 - 636*k + 151686.
2*(k - 477)**2/3
Suppose -5*n**2 + 215*n = 0. What is n?
0, 43
Let s**4 + 6*s**3 + 5*s**2 - 12*s = 0. Calculate s.
-4, -3, 0, 1
Let 8*n**5 - 4*n**4 - 26*n**3 + n**2 + 24*n + 9 = 0. Calculate n.
-1, -1/2, 3/2
Factor m**4 + 60*m**3 + 693*m**2 - 6534*m.
m*(m - 6)*(m + 33)**2
Suppose -11*j**3/5 - 24*j**2/5 + 29*j/5 + 6/5 = 0. Calculate j.
-3, -2/11, 1
What is z in 2*z**2 - 7456*z + 6948992 = 0?
1864
Factor -4*r**4/5 - 68*r**3/5 - 64*r**2 - 256*r/5.
-4*r*(r + 1)*(r + 8)**2/5
Factor -3*a**5/4 + 39*a**4/4 - 87*a**3/2 + 159*a**2/2 - 255*a/4 + 75/4.
-3*(a - 5)**2*(a - 1)**3/4
Determine a so that a**3 + 9*a**2 - 9*a - 81 = 0.
-9, -3, 3
Factor -2*a**5 + 6*a**4 - 4*a**3.
-2*a**3*(a - 2)*(a - 1)
Factor -4*q**3 + 1380*q**2 - 1368*q - 2752.
-4*(q - 344)*(q - 2)*(q + 1)
Factor -4*a**2 + 52*a + 56.
-4*(a - 14)*(a + 1)
Factor 89*g**2/5 - 101*g/5 + 12/5.
(g - 1)*(89*g - 12)/5
Suppose -2*p**3/7 - 2210*p**2/7 - 88000*p - 3025000/7 = 0. What is p?
-550, -5
Determine m so that -m**2/7 + 68*m/7 + 213/7 = 0.
-3, 71
Suppose -2*d**2/7 - 6*d/7 + 8/7 = 0. What is d?
-4, 1
Factor -o**3 + 95*o**2 + 936*o.
-o*(o - 104)*(o + 9)
Factor 17*s**3 + 97*s**2 - 178*s - 168.
(s - 2)*(s + 7)*(17*s + 12)
What is k in k**5/6 + 7*k**4/6 + 19*k**3/6 + 25*k**2/6 + 8*k/3 + 2/3 = 0?
-2, -1
Let m**2 - 228*m + 452 = 0. Calculate m.
2, 226
Factor 5*s**3 - 20605*s**2 + 21217995*s + 21238605.
5*(s - 2061)**2*(s + 1)
Let -q**4/9 + 4*q**3/9 + 7*q**2/9 - 34*q/9 + 8/3 = 0. Calculate q.
-3, 1, 2, 4
Solve 3*n**5/4 - 171*n**4/2 + 825*n**3/2 - 405*n**2 - 1653*n/4 + 981/2 = 0.
-1, 1, 2, 3, 109
Factor -48*t**5 - 840*t**4 + 429*t**3 - 54*t**2.
-3*t**2*(t + 18)*(4*t - 1)**2
Factor -2*n**4 - 20*n**3 - 72*n**2 - 108*n - 54.
-2*(n + 1)*(n + 3)**3
Factor 5*k**3/2 - 10*k**2 - 2285*k/2 + 1150.
5*(k - 23)*(k - 1)*(k + 20)/2
Let 2*u**2/5 - 114*u/5 + 112/5 = 0. Calculate u.
1, 56
Find j, given that -3*j**2 + 7956*j - 5274828 = 0.
1326
Suppose -p**3/5 - 123*p**2/5 + 249*p/5 - 25 = 0. Calculate p.
-125, 1
Solve -5*z**2 - 2800*z - 392000 = 0.
-280
Factor 2*k**2 + 980*k + 120050.
2*(k + 245)**2
Suppose -2*m**2/11 - 20*m/11 + 192/11 = 0. What is m?
-16, 6
Factor 3*d**3 + 114*d**2 - 3*d - 114.
3*(d - 1)*(d + 1)*(d + 38)
Find i, given that -i**4 + 48*i**3 - 832*i**2 + 6144*i - 16384 = 0.
8, 16
Find t, given that 2*t**2/3 - 40*t/3 + 64 = 0.
8, 12
Factor -4*g**3 + 612*g**2 + 4*g - 612.
-4*(g - 153)*(g - 1)*(g + 1)
Solve -2*q**4 + 8*q**3 + 2*q**2 - 8*q = 0.
-1, 0, 1, 4
Find t, given that 21*t**3 - 366*t**2 + 456*t + 384 = 0.
-4/7, 2, 16
Factor 4*q**2/9 + 44*q/9.
4*q*(q + 11)/9
Factor -r**2 - 24*r + 180.
-(r - 6)*(r + 30)
Factor 5*o**3 - 755*o**2 + 28120*o + 28880.
5*(o - 76)**2*(o + 1)
Factor v**3 + 330*v**2.
v**2*(v + 330)
Let -3*p**5 + 1320*p**4 - 191820*p**3 + 8942160*p**2 + 38112960*p + 38901504 = 0. Calculate p.
-2, 148
Factor -r**5 + 16*r**4 - 78*r**3 + 112*r**2 - 49*r.
-r*(r - 7)**2*(r - 1)**2
Let -3*g**2 - 135*g + 138 = 0. Calculate g.
-46, 1
Suppose 5*w**2 - 440*w - 445 = 0. Calculate w.
-1, 89
Find q such that 2*q**3/13 - 66*q**2/13 - 212*q/13 - 144/13 = 0.
-2, -1, 36
Factor 5*s**3 + 85*s**2.
5*s**2*(s + 17)
Factor -3*v**3/8 + 423*v**2/8 + 1731*v/8 + 1305/8.
-3*(v - 145)*(v + 1)*(v + 3)/8
Factor 2*d**3/3 - 4*d**2/9 - 2*d/3 + 4/9.
2*(d - 1)*(d + 1)*(3*d - 2)/9
Suppose 36*k**5/7 + 15996*k**4/7 + 2370961*k**3/7 + 117493500*k**2/7 + 38967216*k/7 + 3241792/7 = 0. What is k?
-148, -1/6
Factor -3*m**3/4 - 201*m**2/4 + 411*m/4 - 207/4.
-3*(m - 1)**2*(m + 69)/4
Determine p so that -p**2/5 + 24*p + 121/5 = 0.
-1, 121
Solve z**4 + 12*z**3 - 42*z**2 + 44*z - 15 = 0.
-15, 1
Determine l so that 2*l**5 - 4*l**4 - 22*l**3 + 16*l**2 + 40*l - 32 = 0.
-2, 1, 4
Factor 3*n**2/2 - 1605*n + 3207/2.
3*(n - 1069)*(n - 1)/2
What is v in 4*v**4 + 76*v**3 + 72*v**2 = 0?
-18, -1, 0
Find o such that 3*o**2/5 + 24*o/5 - 99/5 = 0.
-11, 3
Factor -l**3/5 - 364*l**2/5 - 363*l/5.
-l*(l + 1)*(l + 363)/5
Suppose -n**5/10 + 14*n**4/5 - 119*n**3/5 + 202*n**2/5 + 1639*n/10 + 484/5 = 0. Calculate n.
-1, 8, 11
Find p, given that p**5 - 19*p**4 + 97*p**3 - 45*p**2 - 162*p = 0.
-1, 0, 2, 9
Determine o so that -3*o**2/2 - 42*o - 78 = 0.
-26, -2
Solve -k**2/5 + 3*k/5 + 28/5 = 0 for k.
-4, 7
Factor 2*v**2/3 + 28*v/15.
2*v*(5*v + 14)/15
Factor q**3/2 + 29*q**2/2 + 103*q/2 + 75/2.
(q + 1)*(q + 3)*(q + 25)/2
Suppose n**2/4 - 33*n + 131/4 = 0. What is n?
1, 131
Factor -5*h**2 - 1535*h + 7800.
-5*(h - 5)*(h + 312)
Let -2*g**3/7 - 298*g**2/7 + 300*g/7 = 0. What is g?
-150, 0, 1
Let 15*p**4 - 460*p**3 + 300*p**2 = 0. What is p?
0, 2/3, 30
Let -2*z**5/23 + 2*z**4/23 + 6*z**3/23 - 10*z**2/23 + 4*z/23 = 0. What is z?
-2, 0, 1
Factor -93*t**3 + 562*t**2 - 24*t.
-t*(t - 6)*(93*t - 4)
Let -2*j**4/19 - 42*j**3/19 - 176*j**2/19 - 264*j/19 - 128/19 = 0. Calculate j.
-16, -2, -1
Suppose k**2 + 6*k - 16 = 0. What is k?
-8, 2
Find r such that 15*r**3 - 21*r**2 + 6*r = 0.
0, 2/5, 1
Factor -4*o**2/3 - 916*o/3 - 4480/3.
-4*(o + 5)*(o + 224)/3
Find k such that -5*k**4 - 45*k**3 + 55*k**2 + 45*k - 50 = 0.
-10, -1, 1
Find a such that a**3/3 + 13*a**2/3 - 14*a/3 = 0.
-14, 0, 1
Solve -28*m**5 + 6224*m**4 - 352924*m**3 + 784088*m**2 - 534160*m + 96800 = 0 for m.
2/7, 1, 110
Factor 2*w**3 - 78*w**2 + 150*w - 74.
2*(w - 37)*(w - 1)**2
Factor -3*s**3/7 + 54*s**2/7 - 24*s.
-3*s*(s - 14)*(s - 4)/7
Solve 4*x**5 + 24*x**4 + 52*x**3 + 48*x**2 + 16*x = 0 for x.
-2, -1, 0
Factor -4*a**4 + 8*a**3 + 4*a**2 - 8*a.
-4*a*(a - 2)*(a - 1)*(a + 1)
Let 2*x**5/13 + 38*x**4/13 - 40*x**3/13 = 0. What is x?
-20, 0, 1
Factor 3*f**2 + 132*f + 1452.
3*(f + 22)**2
Let 6*x**3/5 + 2*x**2/5 = 0. Calculate x.
-1/3, 0
Suppose 4*l**5 + 140*l**4 + 1144*l**3 - 1584*l**2 - 2592*l = 0. What is l?
-18, -1, 0, 2
Factor -q**4/2 + 3*q**3/2 - q**2/2 - 3*q/2 + 1.
-(q - 2)*(q - 1)**2*(q + 1)/2
Let m**4/4 + 7*m**3/4 - 99*m**2/4 + 297*m/4 - 135/2 = 0. What is m?
-15, 2, 3
Let 2*i**5 + 24*i**4 + 40*i**3 - 4*i**2 - 42*i - 20 = 0. Calculate i.
-10, -1, 1
Factor -63*b**3 + 321*b**2 + 348*b - 36.
-3*(b - 6)*(b + 1)*(21*b - 2)
What is n in 2*n**2 - 56*n + 392 = 0?
14
What is k in -4*k**5 - 28*k**4/3 + 148*k**3/3 + 220*k**2/3 - 232*k/3 - 32 = 0?
-4, -2, -1/3, 1, 3
Factor 5*j**2 - 1580*j - 1585.
5*(j - 317)*(j + 1)
Determine a so that -4*a**3 + 32*a**2 - 64*a = 0.
0, 4
Factor -5*i**3 - 35*i**2 - 50*i.
-5*i*(i + 2)*(i + 5)
Suppose -4*u**4 + 2332*u**3 - 6956*u**2 - 233