g + 19)**2*(g + 39)/2
Solve 2*h**3 - 1428*h**2 + 339864*h - 26962544 = 0.
238
Factor -r**2 - 7268*r - 13205956.
-(r + 3634)**2
Suppose -b**3/4 + 9*b**2/2 - 17*b/4 = 0. What is b?
0, 1, 17
Solve 4*q**4 + 1636*q**3 - 1644*q**2 - 1636*q + 1640 = 0 for q.
-410, -1, 1
What is s in 2*s**3 + 450*s**2 + 1776*s + 1768 = 0?
-221, -2
Suppose -5*w**2 - 310*w - 4805 = 0. What is w?
-31
Factor 6*s**2/19 + 122*s/19 + 40/19.
2*(s + 20)*(3*s + 1)/19
Factor -o**3/2 + 35*o**2/2 - 144*o - 162.
-(o - 18)**2*(o + 1)/2
Determine b, given that b**5/2 + 2*b**4 - 8*b**2 - 8*b = 0.
-2, 0, 2
What is a in 4*a**5/9 + 182*a**4/9 + 266*a**3/9 + 88*a**2/9 = 0?
-44, -1, -1/2, 0
Find l, given that -2*l**5/11 + 36*l**4/11 + 14*l**3/11 - 2064*l**2/11 + 2016*l/11 = 0.
-7, 0, 1, 12
Factor -f**5 + 31*f**4 + 102*f**3 + 4*f**2 - 136*f.
-f*(f - 34)*(f - 1)*(f + 2)**2
Factor -2*s**4 + 24*s**2 + 32*s.
-2*s*(s - 4)*(s + 2)**2
Determine w so that -w**4/2 + w**3/2 + 7*w**2/2 - w/2 - 3 = 0.
-2, -1, 1, 3
Factor 2*d**3/11 - 548*d**2/11 + 38080*d/11 - 73984/11.
2*(d - 136)**2*(d - 2)/11
Factor -7*n**3/8 - 65*n**2/8 + 173*n/4 + 13.
-(n - 4)*(n + 13)*(7*n + 2)/8
Find w such that 2*w**4/7 - 50*w**2/7 + 120*w/7 - 72/7 = 0.
-6, 1, 2, 3
Factor f**3/6 + 3*f**2/2 - 2*f/3 - 6.
(f - 2)*(f + 2)*(f + 9)/6
Factor 4*h**4 - 168*h**3 + 1588*h**2 + 3696*h + 1936.
4*(h - 22)**2*(h + 1)**2
Let 2*b**4/9 + 44*b**3/9 - 386*b**2/3 - 15400*b/9 + 245000/9 = 0. Calculate b.
-25, 14
Solve 56*j**3/3 - 278*j**2/3 - 1354*j/3 - 16 = 0.
-3, -1/28, 8
Factor 5*b**3 + 2195*b**2.
5*b**2*(b + 439)
Suppose -21*c**2/2 + 27*c/2 - 3 = 0. Calculate c.
2/7, 1
Factor -l**2/3 + 4*l + 28/3.
-(l - 14)*(l + 2)/3
Let 2*v**3/7 + 8*v**2 - 2*v/7 - 8 = 0. What is v?
-28, -1, 1
Factor n**2/3 + 12*n - 324.
(n - 18)*(n + 54)/3
Solve 4*x**2 - 268*x + 264 = 0 for x.
1, 66
Factor 3*v**3 + 36*v**2 + 135*v + 162.
3*(v + 3)**2*(v + 6)
Find z such that -z**4/2 - 98*z**3 + 99*z**2 + 98*z - 197/2 = 0.
-197, -1, 1
Factor 27*v**3/2 - 433*v**2/2 + 872*v - 32.
(v - 8)**2*(27*v - 1)/2
Factor -5*l**2 + 1930*l - 186245.
-5*(l - 193)**2
Factor 7*f**2/4 + 71*f/2 - 437/4.
(f + 23)*(7*f - 19)/4
Factor 2*y**2 - 380*y + 1122.
2*(y - 187)*(y - 3)
Suppose k**3/4 - 5*k**2/2 + 21*k/4 = 0. Calculate k.
0, 3, 7
Let 4*c**2 - 16 = 0. What is c?
-2, 2
Suppose -t**4/8 + 29*t**3/8 + 31*t**2/8 - 29*t/8 - 15/4 = 0. What is t?
-1, 1, 30
Find p, given that -p**5/6 - 51*p**4/2 - 76*p**3/3 = 0.
-152, -1, 0
Factor u**4 - 2*u**3 - 8*u**2.
u**2*(u - 4)*(u + 2)
Let 4*o**2/7 + 20*o/7 = 0. Calculate o.
-5, 0
Determine u, given that 4*u**3 - 212*u**2 - 436*u - 220 = 0.
-1, 55
Factor -d**4 - 3*d**3 - 2*d**2.
-d**2*(d + 1)*(d + 2)
Let -8*v**5/9 + 250*v**4/9 - 2438*v**3/9 + 5434*v**2/9 + 20086*v/9 - 5324/9 = 0. What is v?
-2, 1/4, 11
Determine z so that -4*z**3/7 + 16*z**2/7 - 16*z/7 = 0.
0, 2
Solve -v**5/2 + 167*v**4/2 - 3359*v**3 - 10583*v**2 - 21505*v/2 - 7225/2 = 0.
-1, 85
Factor 2*o**2 - 34*o - 276.
2*(o - 23)*(o + 6)
Let 4*s**4 - 12*s**3 - 72*s**2 + 160*s = 0. What is s?
-4, 0, 2, 5
Factor -1280*d**3/3 - 2400*d**2 - 4500*d - 5625/2.
-5*(8*d + 15)**3/6
Factor i**2/7 + 298*i/7 + 297/7.
(i + 1)*(i + 297)/7
Find c such that -c**2/8 - 299*c/8 + 75/2 = 0.
-300, 1
Factor -h**4 - 467*h**3.
-h**3*(h + 467)
Suppose 51*f**2 + 108*f + 12 = 0. What is f?
-2, -2/17
Suppose l**5 - 45*l**4/4 - 69*l**3/4 + 89*l**2 + 123*l - 36 = 0. Calculate l.
-2, 1/4, 3, 12
Suppose 2*d**5/13 + 134*d**4/13 = 0. Calculate d.
-67, 0
Determine c, given that -4*c**5 - 13*c**4 + 61*c**3 - 32*c**2 - 12*c = 0.
-6, -1/4, 0, 1, 2
Factor u**3/4 + 19*u**2/2 - 353*u/4 + 345/2.
(u - 5)*(u - 3)*(u + 46)/4
Factor 5*l**5 + 35*l**4 + 30*l**3 - 160*l**2 - 160*l.
5*l*(l - 2)*(l + 1)*(l + 4)**2
Solve -4*p**4 + 12*p**3 + 8*p**2 - 48*p + 32 = 0 for p.
-2, 1, 2
Factor -3*t**5/5 + 1011*t**4/5 - 86673*t**3/5 + 251001*t**2/5.
-3*t**2*(t - 167)**2*(t - 3)/5
Factor -3*r**2 + 66*r - 63.
-3*(r - 21)*(r - 1)
Factor h**3/4 + 51*h**2/4 - 135*h.
h*(h - 9)*(h + 60)/4
Factor 8*q**2 - 466*q + 116.
2*(q - 58)*(4*q - 1)
Suppose -15*t**3 + 275*t**2 - 790*t + 600 = 0. What is t?
4/3, 2, 15
Suppose 4*y**3/7 - 12*y**2/7 = 0. Calculate y.
0, 3
Solve -3*q**2 - 150*q - 1875 = 0 for q.
-25
Solve 4*r**3 - 1172*r**2 + 87580*r - 252300 = 0 for r.
3, 145
Solve -2*u**3/11 + 20*u**2/11 - 18*u/11 = 0.
0, 1, 9
Find l such that -4*l**5 - 8*l**4 + 100*l**3 - 40*l**2 - 336*l + 288 = 0.
-6, -2, 1, 2, 3
Factor -2*s**2 - 50*s.
-2*s*(s + 25)
Solve h**2/3 - 55*h + 162 = 0.
3, 162
Solve 6*d**5/5 + 2*d**4/5 - 42*d**3/5 + 22*d**2/5 + 12*d/5 = 0.
-3, -1/3, 0, 1, 2
Factor 9*g**3/2 - 845*g**2 + 39574*g + 8836.
(g - 94)**2*(9*g + 2)/2
Factor 3*g**4 + 39*g**3 + 126*g**2 - 96*g - 672.
3*(g - 2)*(g + 4)**2*(g + 7)
Factor 2*s**4/7 + 12*s**3 + 558*s**2/7 + 68*s.
2*s*(s + 1)*(s + 7)*(s + 34)/7
Solve 18*c**5/7 - 160*c**4 - 2182*c**3/7 + 8676*c**2/7 - 6416*c/7 + 1024/7 = 0 for c.
-4, 2/9, 1, 64
Factor y**3 + 21*y**2 + 20*y.
y*(y + 1)*(y + 20)
Determine x, given that -x**3 + 3*x**2 - 4 = 0.
-1, 2
Factor -9*f**4/2 - 19*f**3/2 + 25*f**2/2 + 3*f/2.
-f*(f - 1)*(f + 3)*(9*f + 1)/2
Determine x so that 5*x**5 - 40*x**3 + 30*x**2 + 35*x - 30 = 0.
-3, -1, 1, 2
Find m such that -m**2/4 + 132*m - 17424 = 0.
264
Factor -8*k**3/3 - 14*k**2 + 12*k.
-2*k*(k + 6)*(4*k - 3)/3
Suppose 2*j**2/9 - 320*j/9 + 12800/9 = 0. Calculate j.
80
Factor -5*u**2 + 65*u + 70.
-5*(u - 14)*(u + 1)
Let 5*c**2 - 55*c + 50 = 0. Calculate c.
1, 10
Let 5*j**2 + 85*j + 80 = 0. Calculate j.
-16, -1
Factor 4*u**2 - 12*u + 8.
4*(u - 2)*(u - 1)
Determine n, given that -98*n**5 - 336*n**4 - 78*n**3 + 136*n**2 - 24*n = 0.
-3, -1, 0, 2/7
Factor -722*s**2 + 1064*s - 392.
-2*(19*s - 14)**2
Factor 27*j**3 + 291*j**2 - 390*j + 72.
3*(j - 1)*(j + 12)*(9*j - 2)
Factor -v**4 - 30*v**3 - 225*v**2.
-v**2*(v + 15)**2
Find x such that 2*x**2/17 - 596*x/17 + 44402/17 = 0.
149
What is g in -4*g**5/9 + 32*g**4/3 - 88*g**3/9 - 32*g**2/3 + 92*g/9 = 0?
-1, 0, 1, 23
Let 2*g**2/13 + 126*g/13 - 128/13 = 0. Calculate g.
-64, 1
Find z such that -5*z**5 - 797*z**4 - 33088*z**3 - 105928*z**2 - 97968*z - 24336 = 0.
-78, -2, -1, -2/5
Solve 6*f**4 + 69*f**3 + 180*f**2 - 108*f = 0 for f.
-6, 0, 1/2
Factor 2*r**3 - 24*r**2 + 18*r + 44.
2*(r - 11)*(r - 2)*(r + 1)
Let o**2/4 - 554*o + 306916 = 0. What is o?
1108
Factor -14*u**2/9 - 706*u/9 - 100/3.
-2*(u + 50)*(7*u + 3)/9
Factor 5*o**5 + 10*o**4 - 5*o**3 - 10*o**2.
5*o**2*(o - 1)*(o + 1)*(o + 2)
Determine x, given that -5*x**4/2 + 56*x**3 + 71*x**2/2 - 23*x = 0.
-1, 0, 2/5, 23
Factor -3*k**3 + 87*k**2 - 438*k - 528.
-3*(k - 22)*(k - 8)*(k + 1)
Factor 2*l**4 - 18*l**3 + 40*l**2 - 24*l.
2*l*(l - 6)*(l - 2)*(l - 1)
Factor y**3 - 28*y**2/3 + 7*y/3 + 6.
(y - 9)*(y - 1)*(3*y + 2)/3
Find u, given that 45*u**4 + 1230*u**3 - 835*u**2 + 140*u = 0.
-28, 0, 1/3
Factor -2*q**4 + 14*q**3 + 26*q**2 - 86*q + 48.
-2*(q - 8)*(q - 1)**2*(q + 3)
Find g such that -2*g**5/5 - 2*g**4/5 + 88*g**3/5 + 96*g**2/5 - 576*g/5 - 864/5 = 0.
-6, -2, 3, 6
Determine f, given that -4*f**2 + 252*f = 0.
0, 63
Suppose -4*c**4 - 106*c**3 - 134*c**2 + 394*c - 150 = 0. Calculate c.
-25, -3, 1/2, 1
Find l, given that -l**3/3 - 3*l**2 - 8*l - 16/3 = 0.
-4, -1
What is v in -7*v**2 + 5*v/3 + 4/3 = 0?
-1/3, 4/7
What is i in i**3/2 + 5*i**2/2 - 22*i + 30 = 0?
-10, 2, 3
Factor l**2 + 27*l + 26.
(l + 1)*(l + 26)
Solve -2*f**5/5 - 2*f**4 - 12*f**3/5 = 0 for f.
-3, -2, 0
Solve 10*h**3 + 298*h**2 - 68*h - 240 = 0.
-30, -4/5, 1
Let -w**3 - 9*w**2 - 24*w - 20 = 0. What is w?
-5, -2
Find h, given that 2*h**3/7 + 2*h**2/7 - 192*h/7 - 792/7 = 0.
-6, 11
Factor 2205*i**2 + 210*i + 5.
5*(21*i + 1)**2
Factor -5*k**2/4 + 390*k - 30420.
-5*(k - 156)**2/4
What is l in 2*l**3 - 42*l**2 + 240*l - 200 = 0?
1, 10
Factor -2*b**5/17 - 18*b**4/17 + 66*b**3/17 - 70*b**2/17 + 24*b/17.
-2*b*(b - 1)**3*(b + 12)/17
Suppose 4*r**4 + 128*r**3 + 1008*r**2 - 512*r - 4096 = 0. Calculate r.
-16, -2, 2
Solve 2*u**3/15 + 62*u**2/15 + 118*u/15 + 58/15 = 0 for u.
-29, -1
Factor 3*m**4 + 12*m**3 - 3*m**2 - 12*m.
3*m*(m - 1)*(m + 1)*(m + 4)
Suppose 108*n**4/5 - 468*n**3/5 - 213*n**2/5 + 1722*n/5 - 1176/5 = 0. Calculate n.
-2, 7/6, 4
What is x in -3*x**3/5 + 4473*x**2/5 - 334800*x + 4981824/5 = 0?
3, 744
Let f**3 - 13*f**2 + 10*f + 24 = 0. Calculate f.
-1, 2, 12
Suppose 2*g**4/7 + 8*g**3/7 + 2*g**2/7 - 12*g/7 = 