
-9, 1
Let -4*g**4 + 36*g**3 + 16*g**2 - 624*g + 576 = 0. Calculate g.
-4, 1, 6
Suppose 2*z**5 + 46*z**4/3 - 142*z**3/3 - 2*z**2 + 136*z/3 - 40/3 = 0. What is z?
-10, -1, 1/3, 1, 2
Factor -l**2 + l + 12.
-(l - 4)*(l + 3)
Factor -l**4 - l**3 + 10*l**2 + 4*l - 24.
-(l - 2)**2*(l + 2)*(l + 3)
Let -h**4 + 62*h**3 - 1260*h**2 + 7938*h + 9261 = 0. What is h?
-1, 21
Factor -2*n**3 - 156*n**2 - 730*n.
-2*n*(n + 5)*(n + 73)
Factor 26*y**3 + 854*y**2 + 1480*y - 248.
2*(y + 2)*(y + 31)*(13*y - 2)
Factor b**3 - 57*b**2 - 9*b + 513.
(b - 57)*(b - 3)*(b + 3)
Suppose s**3 + 7*s**2 + 10*s = 0. What is s?
-5, -2, 0
Solve 4*n**5 + 4*n**4 - 36*n**3 - 52*n**2 + 32*n + 48 = 0 for n.
-2, -1, 1, 3
Factor k**3/2 - 9*k**2 + 47*k/2 - 15.
(k - 15)*(k - 2)*(k - 1)/2
Factor -20*o**2/17 + 194*o/17 + 60/17.
-2*(o - 10)*(10*o + 3)/17
Determine a, given that a**2/3 - 473*a/3 = 0.
0, 473
Factor -2*g**5/9 - 20*g**4/9 - 34*g**3/9 - 16*g**2/9.
-2*g**2*(g + 1)**2*(g + 8)/9
Let -4*x**2 + 832*x - 43264 = 0. What is x?
104
Suppose -45*d**5/2 - 76*d**4 - 27*d**3/2 + 34*d**2 - 6*d = 0. What is d?
-3, -1, 0, 2/9, 2/5
What is i in -48*i**4 - 52*i**3 + 44*i**2 + 52*i + 4 = 0?
-1, -1/12, 1
Factor -r**2/3 - 10*r/3 - 8.
-(r + 4)*(r + 6)/3
Factor -28*v**5 - 32*v**4 - 4*v**3.
-4*v**3*(v + 1)*(7*v + 1)
Determine i, given that -i**4 - 344*i**3 - 29584*i**2 = 0.
-172, 0
Factor 4*z**2 + 200*z - 204.
4*(z - 1)*(z + 51)
Factor d**2/9 - 940*d/9 + 220900/9.
(d - 470)**2/9
Determine d, given that -4*d**2 - 72*d = 0.
-18, 0
Factor 4*c**5 + 72*c**4 + 128*c**3 - 8*c**2 - 132*c - 64.
4*(c - 1)*(c + 1)**3*(c + 16)
Factor -3*t**2/4 - 867*t/4 - 216.
-3*(t + 1)*(t + 288)/4
Suppose -2*w**2/13 - 1130*w/13 - 1128/13 = 0. What is w?
-564, -1
Determine o so that 2*o**5 - 462*o**4 + 26906*o**3 - 25530*o**2 - 52900*o = 0.
-1, 0, 2, 115
Determine z so that -z**5/3 + 4*z**4/3 + 2*z**3/3 - 4*z**2 - 3*z = 0.
-1, 0, 3
Solve 4*c**5 + 48*c**4 - 248*c**3 + 144*c**2 + 244*c - 192 = 0 for c.
-16, -1, 1, 3
Factor -a**2/3 - 1145*a/3 - 1144/3.
-(a + 1)*(a + 1144)/3
Factor 7*r**4/2 - 9*r**3/2 - 33*r**2/2 - 11*r/2 + 3.
(r - 3)*(r + 1)**2*(7*r - 2)/2
Solve -4*y**5 + 76*y**4 - 252*y**3 + 164*y**2 + 256*y - 240 = 0 for y.
-1, 1, 2, 15
Factor 2*q**3/3 + 6*q**2 - 110*q + 950/3.
2*(q - 5)**2*(q + 19)/3
Find m, given that 5*m**2 + 235*m + 660 = 0.
-44, -3
Solve 5*z**3 - 4820*z**2 - 9655*z - 4830 = 0 for z.
-1, 966
Solve -5*a**5 + 80*a**4 + 10*a**3 - 160*a**2 - 5*a + 80 = 0 for a.
-1, 1, 16
Determine w, given that -w**2/9 - 349*w/9 + 350/9 = 0.
-350, 1
Factor -2*l**2 - 2068*l - 534578.
-2*(l + 517)**2
Let 22*n**3 + 290*n**2 + 316*n + 48 = 0. Calculate n.
-12, -1, -2/11
Factor -2*r**2 - 46*r - 204.
-2*(r + 6)*(r + 17)
Solve -5*i**3 - 25*i**2 + 40*i + 60 = 0 for i.
-6, -1, 2
Factor 27*k**2 - 534*k - 120.
3*(k - 20)*(9*k + 2)
Determine s so that -s**5 - 11*s**4 + 46*s**3 + 56*s**2 = 0.
-14, -1, 0, 4
Solve -2*s**5/5 - 126*s**4 - 1254*s**3/5 - 626*s**2/5 = 0 for s.
-313, -1, 0
Let -17*u**3/3 - 56*u**2 + 428*u/3 - 16 = 0. What is u?
-12, 2/17, 2
Factor -d**4 - 82*d**3 - 613*d**2 - 1572*d - 1332.
-(d + 2)*(d + 3)**2*(d + 74)
Determine g so that 2*g**2/9 - 4*g/3 - 14/9 = 0.
-1, 7
What is f in -f**5/8 + 13*f**4/4 + f**3/4 - 13*f**2/2 - f/8 + 13/4 = 0?
-1, 1, 26
Factor -3*c**3 + 9*c**2 + 102*c + 144.
-3*(c - 8)*(c + 2)*(c + 3)
Let 55*y**4/3 + 40*y**3 - 145*y**2/3 - 10*y = 0. Calculate y.
-3, -2/11, 0, 1
Solve -x**3/5 + x/5 = 0 for x.
-1, 0, 1
Factor -2*n**4/15 + 276*n**3/5 - 27726*n**2/5 - 34776*n - 52920.
-2*(n - 210)**2*(n + 3)**2/15
Factor -2*c**3/3 - 160*c**2/3 - 598*c/3 + 760/3.
-2*(c - 1)*(c + 5)*(c + 76)/3
Factor -k**2/2 - 15*k - 225/2.
-(k + 15)**2/2
Solve -605*u**3 + 275*u**2 + 285*u + 45 = 0 for u.
-3/11, 1
Factor 3*w**5/2 + 15*w**4/2 + 3*w**3/2 - 51*w**2/2 - 33*w - 12.
3*(w - 2)*(w + 1)**3*(w + 4)/2
Factor -g**2/4 - 233*g/4.
-g*(g + 233)/4
What is q in q**5 + 18*q**4 + 61*q**3 - 180*q**2 + 100*q = 0?
-10, 0, 1
Find j such that 8*j**5/7 - 26*j**4/7 - 6*j**3 + 76*j**2/7 - 16*j/7 = 0.
-2, 0, 1/4, 1, 4
Factor -21*x**3 - 15*x**2 + 6*x.
-3*x*(x + 1)*(7*x - 2)
What is w in 484*w**5 - 660*w**4 - 2228*w**3 - 588*w**2 + 448*w - 48 = 0?
-1, 2/11, 3
Factor 2*l**2/13 + 72*l/13.
2*l*(l + 36)/13
Suppose -m**5/3 + 28*m**4/3 - 11*m**3 - 4102*m**2/3 + 19012*m/3 + 30184 = 0. What is m?
-11, -3, 14
Solve 3*w**3 - 234*w**2 + 900*w - 888 = 0 for w.
2, 74
Factor o**2/5 - 4*o/5 + 4/5.
(o - 2)**2/5
Factor c**3 - 239*c**2 + 1864*c - 3696.
(c - 231)*(c - 4)**2
Determine b, given that 2*b**2/7 - 14380*b/7 + 25848050/7 = 0.
3595
Find c, given that -c**3/2 + 5*c**2/2 + 33*c/2 + 27/2 = 0.
-3, -1, 9
Factor -r**4/4 - 47*r**3/4 - 91*r**2/4 - 45*r/4.
-r*(r + 1)**2*(r + 45)/4
Let -12*n**4/7 + 16*n**3/7 + 52*n**2/7 + 24*n/7 = 0. What is n?
-1, -2/3, 0, 3
Factor -k**2 + 63*k - 992.
-(k - 32)*(k - 31)
Factor -2*h**4 + 76*h**3 - 552*h**2 - 3276*h - 2646.
-2*(h - 21)**2*(h + 1)*(h + 3)
Factor -4*h**4 + 12*h**3 + 64*h**2 + 48*h.
-4*h*(h - 6)*(h + 1)*(h + 2)
Factor 8*b**2/3 - 52*b/3 - 28/3.
4*(b - 7)*(2*b + 1)/3
Let -3*f**2 - 2019*f + 6084 = 0. What is f?
-676, 3
Suppose -4*y**4/5 - 4*y**3/5 + 4*y**2/5 + 4*y/5 = 0. What is y?
-1, 0, 1
Factor 50*f**3 + 570*f**2 + 2142*f + 2646.
2*(f + 3)*(5*f + 21)**2
Find v, given that 5*v**4/2 + 345*v**3/2 - 190*v**2 - 1050*v = 0.
-70, -2, 0, 3
Solve 2*f**5 + 54*f**4 - 2*f**3 - 54*f**2 = 0 for f.
-27, -1, 0, 1
Let -2*j**5/3 - 164*j**4 - 40828*j**3/3 - 393984*j**2 - 1089126*j - 708588 = 0. What is j?
-81, -2, -1
Suppose 2*i**3/3 - 122*i**2/9 + 4*i + 80/9 = 0. Calculate i.
-2/3, 1, 20
Suppose 3*a**2/7 - 54*a/7 + 51/7 = 0. What is a?
1, 17
Factor -2*y**4 - 8*y**3 - 8*y**2.
-2*y**2*(y + 2)**2
Factor -3*n**4 + 1407*n**3 + 8514*n**2 + 17076*n + 11400.
-3*(n - 475)*(n + 2)**3
Factor 4*b**4 - 192*b**3 + 368*b**2.
4*b**2*(b - 46)*(b - 2)
Determine k so that 5*k**5/2 - 5*k**4 - 30*k**3 + 20*k**2 + 80*k = 0.
-2, 0, 2, 4
Find r, given that -2*r**4/5 - 18*r**3/5 + 112*r**2/5 + 72*r/5 - 416/5 = 0.
-13, -2, 2, 4
Determine w so that -16*w**5 + 288*w**4 - 1652*w**3 + 3180*w**2 - 1800*w = 0.
0, 1, 2, 15/2
Suppose -d**4/6 + 23*d**3/6 - 52*d**2/3 - 64*d/3 = 0. What is d?
-1, 0, 8, 16
Factor 4*l**2/7 - 116*l/7 - 120/7.
4*(l - 30)*(l + 1)/7
Solve -3*b**2/4 - 279*b/2 - 25947/4 = 0.
-93
Suppose -2*a**2/11 + 884*a/11 - 97682/11 = 0. Calculate a.
221
Factor -3*n**5/2 - 11*n**4/6 - n**3/3.
-n**3*(n + 1)*(9*n + 2)/6
Suppose 3*v**2/7 + 2220*v/7 + 410700/7 = 0. What is v?
-370
Solve -2*v**5/3 + 44*v**4 + 550*v**3/3 + 232*v**2 + 280*v/3 = 0.
-2, -1, 0, 70
Factor m**3 - 47*m**2 - 209*m + 255.
(m - 51)*(m - 1)*(m + 5)
Suppose 6*s**4 + 35*s**3 - 6*s**2 = 0. Calculate s.
-6, 0, 1/6
Let 2*w**4/5 - 206*w**3/5 - 6*w**2/5 + 614*w/5 + 412/5 = 0. Calculate w.
-1, 2, 103
Determine v so that -4*v**3 + 12*v**2 + 16*v = 0.
-1, 0, 4
Let 4*d**5 + 8*d**4 - 48*d**3 - 56*d**2 + 44*d + 48 = 0. What is d?
-4, -1, 1, 3
Solve -3*w**4/7 + 3*w**3/7 + 3*w**2/7 - 3*w/7 = 0 for w.
-1, 0, 1
Factor -9*o**3 - 33*o**2 - 15*o + 9.
-3*(o + 1)*(o + 3)*(3*o - 1)
Solve 3*y**5 + 657*y**4 + 37566*y**3 + 173634*y**2 + 97263*y - 309123 = 0 for y.
-107, -3, 1
Determine o so that o**2 + 545*o + 544 = 0.
-544, -1
Factor 2*b**2 + 170*b - 348.
2*(b - 2)*(b + 87)
Suppose -34*x**2/9 + 98*x/3 + 12 = 0. What is x?
-6/17, 9
Factor 21*b**3/2 - 307*b**2/2 - 62*b + 30.
(b - 15)*(3*b + 2)*(7*b - 2)/2
Determine s, given that 2*s**5/17 + 12*s**4/17 + 6*s**3/17 - 20*s**2/17 = 0.
-5, -2, 0, 1
Factor 5*j**2 + 850*j - 855.
5*(j - 1)*(j + 171)
Factor s**5/3 - 2*s**4 + 4*s**3 - 10*s**2/3 + s.
s*(s - 3)*(s - 1)**3/3
Solve -2*d**4 + 206*d**3/7 + 2888*d**2/7 + 5512*d/7 + 192 = 0 for d.
-7, -2, -2/7, 24
Let 4*l**3 + 96*l**2 + 500*l - 600 = 0. Calculate l.
-15, -10, 1
Solve 3*y**2/8 + 429*y/8 = 0 for y.
-143, 0
What is n in 300*n**4 + 220*n**3 - 1875*n**2 + 485*n - 30 = 0?
-3, 1/10, 1/6, 2
Find n, given that 8*n**3 + 100*n**2 - 464*n - 256 = 0.
-16, -1/2, 4
Factor -3*n**3/5 - 279*n**2/5 - 1077*n/5 - 801/5.
-3*(n + 1)*(n + 3)*(n + 89)/5
Solve 4*z**2 + 128*z + 768 = 0.
-24, -8
Let p**4 - 11*p**3 + 40*p**2 - 48*p = 0. Calculate p.
0, 3, 4
Suppose v**5 + 11*v**4 + 48*v**3 + 104*v**2 + 112*v + 48 = 0. Calculate v.
-3, -2
Factor -2*i**3 + 210*i**2.
-2*i**2*(i - 105)
Let -4*d**3 - 868*d**2 + 2632*d - 1760 = 0. What is d?
-220, 1, 2
Factor 2*q**3