such that -2*f**2/5 - 26*f/5 - 84/5 = 0.
-7, -6
Factor -3*v**3/5 - 59*v**2/5 - 56*v + 20.
-(v + 10)**2*(3*v - 1)/5
Let -r**3 + 25*r**2/4 - 3*r/2 = 0. What is r?
0, 1/4, 6
Determine r so that -3*r**4 - 33*r**3 - 126*r**2 - 192*r - 96 = 0.
-4, -2, -1
Suppose 8*j**5/7 - 158*j**4/7 - 48*j**3/7 + 158*j**2/7 + 40*j/7 = 0. Calculate j.
-1, -1/4, 0, 1, 20
Determine u, given that -u**2/3 + 3 = 0.
-3, 3
Factor 2*j**4 + 488*j**3 + 1452*j**2 + 1448*j + 482.
2*(j + 1)**3*(j + 241)
Let 81*w**3/2 - 26892*w**2 + 5952096*w - 439132416 = 0. What is w?
664/3
Determine a, given that 10*a**4/3 + 12*a**3 + 14*a**2/3 - 4*a = 0.
-3, -1, 0, 2/5
Find u such that 18*u**4/13 - 582*u**3/13 + 1292*u**2/13 - 968*u/13 + 240/13 = 0.
2/3, 1, 30
Find o such that 5*o**3 - 23*o**2 - 10*o = 0.
-2/5, 0, 5
Solve -3*g**4 + 18*g**3 - 39*g**2 + 36*g - 12 = 0.
1, 2
Find m, given that -3*m**3/4 + m**2 + 13*m/4 + 3/2 = 0.
-1, -2/3, 3
Factor -5*b**3/2 + 25*b**2 + 5*b/2 - 25.
-5*(b - 10)*(b - 1)*(b + 1)/2
Determine f, given that f**2 - 131*f - 266 = 0.
-2, 133
Solve -2*y**3 + 10*y**2 - 4*y - 16 = 0.
-1, 2, 4
Find i, given that -3*i**2/5 + 87*i/5 + 18 = 0.
-1, 30
Solve k**3/7 - k**2 - 10*k/7 + 16/7 = 0 for k.
-2, 1, 8
What is w in -5*w**2 + 80*w + 1680 = 0?
-12, 28
What is w in w**3/7 + 54*w**2/7 + 15*w + 52/7 = 0?
-52, -1
Factor 2*q**4/3 + 2*q**3 - 18*q**2 - 18*q + 108.
2*(q - 3)**2*(q + 3)*(q + 6)/3
Solve 2*j**2 + 110*j - 228 = 0.
-57, 2
Solve -5*q**3/3 + 115*q**2/3 + 410*q/3 - 520/3 = 0 for q.
-4, 1, 26
Solve -4*z**5/13 - 122*z**4/13 - 490*z**3/13 + 7620*z**2/13 + 4104*z/13 - 3888/13 = 0 for z.
-18, -1, 1/2, 6
Suppose 3*b**2/5 - 138*b/5 = 0. What is b?
0, 46
Find h such that 4*h**2 - 792*h + 788 = 0.
1, 197
Factor 2*h**2 + 1352*h - 1354.
2*(h - 1)*(h + 677)
Factor 4*g**2/3 + 1268*g/3 + 1264/3.
4*(g + 1)*(g + 316)/3
Factor -v**2 - 27*v - 92.
-(v + 4)*(v + 23)
Let -a**4/3 + 20*a**3/3 + 82*a**2 + 460*a/3 - 725/3 = 0. What is a?
-5, 1, 29
Solve -j**5/3 - 5*j**4/3 + 2*j**3/3 + 14*j**2 + 21*j + 9 = 0 for j.
-3, -1, 3
Suppose -5*y**3 - 290*y**2 - 5440*y - 33280 = 0. Calculate y.
-26, -16
Let -2*z**4/9 - 22*z**3/9 = 0. Calculate z.
-11, 0
Find u, given that 3*u**3/7 + 3*u**2/7 - 30*u/7 + 24/7 = 0.
-4, 1, 2
Suppose 13*f**4/2 - 3*f**3/2 - 63*f**2 = 0. Calculate f.
-3, 0, 42/13
Find j such that -2*j**4/9 + 10*j**3/3 - 26*j**2/3 + 74*j/9 - 8/3 = 0.
1, 12
Find a such that -3*a**3 + 12*a**2 + 180*a = 0.
-6, 0, 10
Determine h so that h**4/5 + 31*h**3 + 7614*h**2/5 + 96228*h/5 - 1102248/5 = 0.
-54, 7
Factor 3*c**3 - 18*c**2 - 21*c.
3*c*(c - 7)*(c + 1)
Find g such that 3*g**2 + 108*g - 351 = 0.
-39, 3
Factor -2*b**3/3 + 8*b**2/3 + 30*b.
-2*b*(b - 9)*(b + 5)/3
Factor -2*h**2/5 + 12*h - 90.
-2*(h - 15)**2/5
Factor 5*k**4 - 35370*k**3 + 62516465*k**2 + 125139060*k + 62587220.
5*(k - 3538)**2*(k + 1)**2
Find r, given that -4*r**2 + 828*r - 824 = 0.
1, 206
Factor 4*y**4 - 84*y**3 + 80*y**2.
4*y**2*(y - 20)*(y - 1)
Determine v, given that v**2/7 - 36/7 = 0.
-6, 6
Factor 2*h**3/5 + 28*h**2/5 - 62*h/5 + 32/5.
2*(h - 1)**2*(h + 16)/5
Let -3*m**2 + 528*m - 23232 = 0. What is m?
88
Determine w, given that 2*w**3/7 - 28*w**2 + 4600*w/7 + 10000/7 = 0.
-2, 50
What is o in o**2/4 + 13*o/4 + 10 = 0?
-8, -5
Suppose 2*v**3/11 - 124*v**2/11 - 390*v/11 = 0. Calculate v.
-3, 0, 65
Factor -4*v**4 - 24*v**3 - 48*v**2 - 40*v - 12.
-4*(v + 1)**3*(v + 3)
Solve -9*n**3/2 - 219*n**2/2 - 279*n/2 - 69/2 = 0.
-23, -1, -1/3
Factor 2*y**3/3 + 14*y**2/3 + 32*y/3 + 8.
2*(y + 2)**2*(y + 3)/3
Let 3*y**5 + 30*y**4 + 102*y**3 + 156*y**2 + 111*y + 30 = 0. What is y?
-5, -2, -1
Solve -3*l**2 - 6*l + 9 = 0.
-3, 1
Factor 2*a**4/9 + 26*a**3/9 + 106*a**2/9 + 142*a/9 + 20/3.
2*(a + 1)**2*(a + 5)*(a + 6)/9
Let -8*t**4/9 - 322*t**3/9 + 104*t**2 - 434*t/9 - 172/9 = 0. What is t?
-43, -1/4, 1, 2
Factor -i**3 - 76*i**2 - 1540*i - 9408.
-(i + 14)**2*(i + 48)
Find i such that 42*i**5 - 39*i**4 - 255*i**3 - 18*i**2 = 0.
-2, -1/14, 0, 3
Find t such that 5*t**3 - 430*t**2 - 3760*t = 0.
-8, 0, 94
Solve -5*v**2 - 385*v - 2450 = 0.
-70, -7
Determine x, given that -x**4/2 + 5*x**3 - 37*x**2/2 + 30*x - 18 = 0.
2, 3
Let -2*j**4/9 - 68*j**3/9 + 82*j**2/9 + 140*j/3 = 0. What is j?
-35, -2, 0, 3
Solve 2*t**4 - 20*t**3 - 74*t**2 + 332*t - 240 = 0 for t.
-5, 1, 2, 12
Factor -2*r**4/15 - 14*r**3/15 - 4*r**2/5.
-2*r**2*(r + 1)*(r + 6)/15
Solve 6*m**4 - 68*m**3/11 + 16*m**2/11 = 0 for m.
0, 4/11, 2/3
Factor 2*j**3/7 + 44*j**2/7 - 318*j/7 + 72.
2*(j - 3)**2*(j + 28)/7
What is h in 2*h**3 - 42*h**2 = 0?
0, 21
Factor 6*q**4 + 14*q**3 - 66*q**2 - 126*q + 108.
2*(q - 3)*(q + 3)**2*(3*q - 2)
Find g such that 4*g**2 - 256*g + 252 = 0.
1, 63
Let 15*i**2 - 99*i - 42 = 0. What is i?
-2/5, 7
Factor h**2/7 + 2*h/7 + 1/7.
(h + 1)**2/7
Factor -294*o**3 + 1442*o**2 + 418*o/3 + 10/3.
-2*(o - 5)*(21*o + 1)**2/3
Factor -x**2 + 52*x + 165.
-(x - 55)*(x + 3)
Factor -5*b**2/2 + 131*b - 52.
-(b - 52)*(5*b - 2)/2
Factor -3*f**3 + 271*f**2/7 - 436*f/7 - 44/7.
-(f - 11)*(f - 2)*(21*f + 2)/7
Factor -2*q**5/9 - 1178*q**4/9 - 171686*q**3/9 + 522146*q**2/9 - 524512*q/9 + 175232/9.
-2*(q - 1)**3*(q + 296)**2/9
Factor 2*x**4 + 62*x**3 + 118*x**2 + 58*x.
2*x*(x + 1)**2*(x + 29)
Solve 3*j**5/7 + 15*j**4/7 + 18*j**3/7 - 12*j**2/7 - 24*j/7 = 0 for j.
-2, 0, 1
Factor 3*v**4 + 48*v**3 - 9*v**2 - 138*v + 96.
3*(v - 1)**2*(v + 2)*(v + 16)
What is z in 12*z**2 - 532*z + 17689/3 = 0?
133/6
Factor 2*w**4/9 + 2*w**3 - 2*w**2/3 - 58*w/9 - 4.
2*(w - 2)*(w + 1)**2*(w + 9)/9
Suppose 5*w**2/7 + 1469*w/7 - 42 = 0. Calculate w.
-294, 1/5
Factor -50*n**4/11 - 240*n**3/11 - 288*n**2/11.
-2*n**2*(5*n + 12)**2/11
Factor -3*h**3 + 66*h**2 - 483*h + 1176.
-3*(h - 8)*(h - 7)**2
Factor 1481*i**3/3 - 2960*i**2/3 + 1477*i/3 + 2/3.
(i - 1)**2*(1481*i + 2)/3
Solve -2*x**4 - 54*x**3 - 304*x**2 - 480*x = 0.
-20, -4, -3, 0
Determine o, given that 4*o**2 - 20*o + 24 = 0.
2, 3
Factor 2*f**2/9 + 28*f/3 - 86/9.
2*(f - 1)*(f + 43)/9
Factor 3*c**2/8 + 51*c/4 + 90.
3*(c + 10)*(c + 24)/8
Factor 2*s**4/3 + 46*s**3/3 + 80*s**2 - 96*s.
2*s*(s - 1)*(s + 12)**2/3
Suppose 2*k**5/3 + 106*k**4/3 + 484*k**3 + 1144*k**2/3 - 2704*k/3 = 0. What is k?
-26, -2, 0, 1
Factor 2*o**3/7 - 30*o**2/7 + 144*o/7 - 216/7.
2*(o - 6)**2*(o - 3)/7
Factor -5*i**2 + 1240*i - 76880.
-5*(i - 124)**2
Factor 4*o**3 + 524*o**2 + 16348*o - 53868.
4*(o - 3)*(o + 67)**2
Find m such that -3*m**4/2 - 36*m**3 - 315*m**2 - 1200*m - 3375/2 = 0.
-9, -5
Determine s so that 4*s**5 - 12*s**4 + 4*s**3 + 12*s**2 - 8*s = 0.
-1, 0, 1, 2
Determine y so that -2*y**5 + 2*y**4 + 34*y**3 + 38*y**2 - 32*y - 40 = 0.
-2, -1, 1, 5
What is l in l**5/4 - l**4/4 - 3*l**3/4 + 5*l**2/4 - l/2 = 0?
-2, 0, 1
What is f in -f**4/3 + 2*f**3/3 + 7*f**2/3 - 8*f/3 - 4 = 0?
-2, -1, 2, 3
Find g, given that -4*g**3 + 142*g**2/3 + 60*g + 26/3 = 0.
-1, -1/6, 13
Find h, given that 3*h**2 + 612*h - 615 = 0.
-205, 1
Find y such that -3*y**4 - 2302*y**3/7 - 3687*y**2/7 - 1622*y/7 - 216/7 = 0.
-108, -1, -1/3, -2/7
Factor -2*r**3 + 16*r**2 - 26*r + 12.
-2*(r - 6)*(r - 1)**2
Factor 4*b**4 + 4*b**3 - 288*b**2.
4*b**2*(b - 8)*(b + 9)
Factor 2*d**3 + 468*d**2 + 5400*d + 15984.
2*(d + 6)**2*(d + 222)
Suppose c**5/3 + 37*c**4/3 + 150*c**3 + 678*c**2 + 1215*c + 675 = 0. What is c?
-15, -3, -1
Determine i so that -3*i**3 + 1731*i**2 - 1722*i - 3456 = 0.
-1, 2, 576
Let -n**3 + 16*n**2 + 39*n - 54 = 0. What is n?
-3, 1, 18
Let -2*b**2/3 - 26*b/3 + 60 = 0. What is b?
-18, 5
Factor -6*y**2/5 - 1184*y/5 - 394/5.
-2*(y + 197)*(3*y + 1)/5
Factor -z**2/2 + 19*z/2.
-z*(z - 19)/2
Solve g**2/6 + 23*g/6 + 7 = 0.
-21, -2
Factor 5*a**2 + 3025*a + 3020.
5*(a + 1)*(a + 604)
Factor l**3/4 - 27*l**2/2 + 825*l/4 - 968.
(l - 32)*(l - 11)**2/4
Find q such that -3*q**5/7 - 6*q**4/7 + 99*q**3/7 + 114*q**2/7 - 348*q/7 - 360/7 = 0.
-6, -2, -1, 2, 5
Solve -2*r**4 - 102*r**3 - 198*r**2 - 98*r = 0.
-49, -1, 0
Suppose k**2 + 50*k - 51 = 0. What is k?
-51, 1
Suppose -i**2/2 - 1013*i - 1026169/2 = 0. Calculate i.
-1013
Factor 15*x**3 + 78*x**2 - 72*x.
3*x*(x + 6)*(5*x - 4)
What is y in -y**4/2 + 556*y**3 - 155123*y**2 + 308580*y - 308025/2 = 0?
1, 555
Solve 4*v**3 - 28*v - 24 = 0 for v.
-2, -1, 3
Factor 2*j**3/9 + 16*j**2/9 + 22*j/9 - 40/9.
2*(j - 1)*(j + 4)*(j + 5)/9
Factor 10*j**2 + 628*j - 126.
2*(j + 63)*(5*j - 1)
Suppose -4*z**4/9 - 280*z**3/9 - 4900*z**2/