132*g**4 + 696*g**3 - 1276*g**2 + 480*g = 0. What is g?
0, 1/2, 3, 5, 8
Suppose h**3/3 + 106*h**2 + 8532*h + 49928/3 = 0. Calculate h.
-158, -2
Solve -2*g**2 + 4334*g + 4336 = 0 for g.
-1, 2168
Factor -2*w**3/17 + 10*w**2/17 - 12*w/17.
-2*w*(w - 3)*(w - 2)/17
Determine p, given that 2*p**2/9 + 8*p/9 = 0.
-4, 0
Solve -3*n**3 + 5*n**2 + 11*n + 3 = 0 for n.
-1, -1/3, 3
Suppose 3*t**2 - 18*t - 21 = 0. Calculate t.
-1, 7
Factor -20*y**5 + 32*y**4 - 12*y**3.
-4*y**3*(y - 1)*(5*y - 3)
Solve 21*a**5 - 219*a**4 + 774*a**3 - 1056*a**2 + 480*a = 0 for a.
0, 1, 10/7, 4
Suppose 2*q**2 + 10*q - 300 = 0. Calculate q.
-15, 10
Solve -7*k**3/2 + 61*k**2/2 + 9*k = 0.
-2/7, 0, 9
Solve -4*x**3 + 12*x**2 + 96*x - 320 = 0 for x.
-5, 4
Let 4*k**4 - 20*k**3 - 224*k**2 + 1392*k - 1152 = 0. Calculate k.
-8, 1, 6
Determine a so that -a**4/2 - 29*a**3/2 + 31*a**2 = 0.
-31, 0, 2
Determine f, given that 5*f**3 + 10*f**2 = 0.
-2, 0
Solve -2*y**5 - 10*y**4 + 2*y**3 + 82*y**2 + 144*y + 72 = 0 for y.
-3, -2, -1, 3
Find p, given that 4*p**3 - 336*p**2 + 308*p + 1992 = 0.
-2, 3, 83
Find u, given that -3*u**2/5 + 833*u/5 + 278/5 = 0.
-1/3, 278
Let -m**3 + 15*m**2 - 12*m - 28 = 0. Calculate m.
-1, 2, 14
Determine d, given that 3*d**3/2 + 42*d**2 + 735*d/2 + 1029 = 0.
-14, -7
Find w such that w**4/2 - 831*w**3/2 - 1668*w**2 - 1670*w = 0.
-2, 0, 835
Factor -112*h**4 + 4*h**3 + 8*h**2.
-4*h**2*(4*h + 1)*(7*h - 2)
Factor -2*o**3/3 + 68*o**2 - 1528*o/3 + 752.
-2*(o - 94)*(o - 6)*(o - 2)/3
Determine k, given that k**2 + 45*k - 424 = 0.
-53, 8
Let -2*a**3/7 + 704*a**2/7 + 406*a + 2136/7 = 0. What is a?
-3, -1, 356
Factor -c**4/7 + 30*c**3/7 - 297*c**2/7 + 1080*c/7 - 1296/7.
-(c - 12)**2*(c - 3)**2/7
Determine r, given that 7*r**5/6 + 155*r**4/3 + 27*r**3/2 - 155*r**2/3 - 44*r/3 = 0.
-44, -1, -2/7, 0, 1
Determine u so that -2*u**2 + 66*u + 140 = 0.
-2, 35
Find r, given that 9*r**4 + 1884*r**3 + 97962*r**2 - 66780*r - 33075 = 0.
-105, -1/3, 1
Let 5*j**4 + 345*j**3/2 + 3055*j**2/2 + 1275*j/2 - 1445/2 = 0. Calculate j.
-17, -1, 1/2
Factor 2*h**4 + 42*h**3 + 114*h**2 + 110*h + 36.
2*(h + 1)**3*(h + 18)
Factor -2*l**2 - 100*l - 192.
-2*(l + 2)*(l + 48)
Find d such that 4*d**5 + 48*d**4 + 140*d**3 + 80*d**2 - 144*d - 128 = 0.
-8, -2, -1, 1
Determine r so that -10*r**4 - 65*r**3 + 75*r**2 + 260*r - 140 = 0.
-7, -2, 1/2, 2
Suppose -5*b**4 + 45*b**3 - 145*b**2 + 195*b - 90 = 0. Calculate b.
1, 2, 3
Solve 5*m**3 + 40*m**2 + 5*m - 210 = 0.
-7, -3, 2
Let 3*h**2 + 1665*h + 1662 = 0. Calculate h.
-554, -1
Factor -9*c**2/4 + 219*c/2 - 72.
-3*(c - 48)*(3*c - 2)/4
Determine p so that -2*p**4/11 - 8*p**3/11 + 2*p**2/11 + 32*p/11 + 24/11 = 0.
-3, -2, -1, 2
Factor 729*t**4/8 + 675*t**3/2 + 517*t**2/2 - 100*t + 8.
(t + 2)**2*(27*t - 4)**2/8
Solve -2*y**5/5 + 1594*y**4/5 - 4764*y**3/5 - 8*y**2/5 + 6352*y/5 = 0 for y.
-1, 0, 2, 794
Suppose u**5/11 - u**4/11 - 5*u**3/11 - 3*u**2/11 = 0. What is u?
-1, 0, 3
Factor -2*f**3 + 6248*f**2 - 4885930*f + 9746884.
-2*(f - 1561)**2*(f - 2)
Factor -2*h**2/13 + 42*h/13 + 200/13.
-2*(h - 25)*(h + 4)/13
Solve 5*i**2/2 + 27525*i + 151525125/2 = 0.
-5505
Suppose 2*u**3 + 32*u**2 + 138*u + 180 = 0. Calculate u.
-10, -3
Find j, given that -j**2 - 13*j + 14 = 0.
-14, 1
Solve d**4/4 + 5*d**3/2 - d**2/4 - 5*d/2 = 0 for d.
-10, -1, 0, 1
Solve -3*h**5/4 - 3*h**4/2 + 51*h**3/4 + 105*h**2/2 + 69*h + 30 = 0.
-2, -1, 5
Determine g, given that 18*g**2 - 46*g - 24 = 0.
-4/9, 3
Solve -2*f**2 - 1398*f = 0 for f.
-699, 0
Suppose 34*q**2 + 52*q = 0. Calculate q.
-26/17, 0
Factor 2*m**3 + 14*m**2/5 - 196*m/5 - 16.
2*(m - 4)*(m + 5)*(5*m + 2)/5
Factor 5*j**2 - 10*j - 240.
5*(j - 8)*(j + 6)
Suppose -5*o**3/3 - 2065*o**2/3 = 0. Calculate o.
-413, 0
Find h, given that -6*h**5 - 4*h**4 + 548*h**3 + 904*h**2 + 178*h - 180 = 0.
-9, -1, 1/3, 10
Suppose 5*b**3/3 + 145*b**2/3 - 615*b + 1365 = 0. What is b?
-39, 3, 7
Solve -2*y**2/9 - 166*y/3 - 2440/9 = 0 for y.
-244, -5
Determine h, given that -17*h**3/3 - 67*h**2/6 - 16*h/3 + 1/6 = 0.
-1, 1/34
Determine q so that -4*q**3 - 700*q**2 - 30272*q + 30976 = 0.
-88, 1
Solve -4*w**5 + 8*w**4 + 24*w**3 - 80*w**2 + 76*w - 24 = 0 for w.
-3, 1, 2
Factor -w**2/3 - 112*w/3 + 113/3.
-(w - 1)*(w + 113)/3
Solve -28*x**3 - 24*x**2 + 160*x = 0 for x.
-20/7, 0, 2
Factor u**4/4 + 330*u**3 + 163350*u**2 + 35937000*u + 2964802500.
(u + 330)**4/4
Factor 5*h**2 - 165*h + 160.
5*(h - 32)*(h - 1)
Factor m**3/2 + 31*m**2/2 - 16*m.
m*(m - 1)*(m + 32)/2
Solve 3*a**3 + 855*a**2 + 81225*a + 2572125 = 0.
-95
Find b such that -2*b**4 - 331*b**3/2 + 1827*b**2/2 - 922*b + 176 = 0.
-88, 1/4, 1, 4
Factor 2*c**5/7 - 16*c**4/7 - 38*c**3/7 - 20*c**2/7.
2*c**2*(c - 10)*(c + 1)**2/7
Let -2*q**4/5 - 924*q**3/5 - 108546*q**2/5 - 419528*q/5 = 0. Calculate q.
-229, -4, 0
What is q in q**3/3 + 67*q**2/3 - 184*q/3 - 52900/3 = 0?
-46, 25
Factor i**3 + 32*i**2 - 313*i + 280.
(i - 7)*(i - 1)*(i + 40)
Factor -3*z**2/5 + 108*z/5 + 111/5.
-3*(z - 37)*(z + 1)/5
Find s, given that 2*s**2/3 - 4402*s/3 = 0.
0, 2201
Determine y, given that -4*y**2 + 552*y + 2272 = 0.
-4, 142
Factor -2*s**2 + 286*s + 1176.
-2*(s - 147)*(s + 4)
Factor 16*z**3 - 60*z**2 + 75*z - 125/4.
(4*z - 5)**3/4
Find q, given that -4*q**5 - 16*q**4 - 4*q**3 + 56*q**2 + 80*q + 32 = 0.
-2, -1, 2
Factor -605*a**4 + 330*a**3 - 45*a**2.
-5*a**2*(11*a - 3)**2
Factor k**3 + 285*k**2 - k - 285.
(k - 1)*(k + 1)*(k + 285)
Solve -u**3/5 - 56*u**2/5 - 53*u/5 + 22 = 0 for u.
-55, -2, 1
Factor b**2 + 2*b + 1.
(b + 1)**2
Suppose 6*b**4/5 - 136*b**3/5 - 502*b**2/5 - 464*b/5 - 104/5 = 0. What is b?
-2, -1, -1/3, 26
Factor 2*d**4/5 + 78*d**3/5 - 336*d**2/5 + 344*d/5.
2*d*(d - 2)**2*(d + 43)/5
Suppose m**2/4 - 21*m/2 + 41/4 = 0. Calculate m.
1, 41
Factor -2*r**3/9 + 2*r**2/9 + 10*r/9 + 2/3.
-2*(r - 3)*(r + 1)**2/9
Solve 12*x**3 - 23*x**2/2 - 49*x/2 - 1 = 0.
-1, -1/24, 2
Find a such that a**2/6 - 392*a/3 = 0.
0, 784
Determine p so that -4*p**2/7 - 1136*p/7 - 1132/7 = 0.
-283, -1
Let 4*j**4 - 352*j**3 + 2504*j**2 + 256960*j + 254100 = 0. What is j?
-21, -1, 55
Let -4*o**5/3 - 84*o**4 - 4408*o**3/3 - 8984*o**2 - 41668*o/3 - 6292 = 0. Calculate o.
-39, -11, -1
Let -2*u**5 + 538*u**4 - 47510*u**3 + 1310582*u**2 + 5829824*u + 6028568 = 0. What is u?
-2, 91
Find v such that -4*v**3 + 1772*v**2 - 3528*v = 0.
0, 2, 441
Let 6*o**4 - 113*o**3 - 25*o**2 + 113*o + 19 = 0. Calculate o.
-1, -1/6, 1, 19
Suppose m**5/10 + 221*m**4/10 + 6269*m**3/5 + 18149*m**2/5 + 35861*m/10 + 11881/10 = 0. What is m?
-109, -1
Find k such that 4*k**2/7 - 1364*k/7 = 0.
0, 341
Determine z so that -60*z**3 - 124*z**2 + 172*z + 12 = 0.
-3, -1/15, 1
Factor -j**2 - 249*j - 494.
-(j + 2)*(j + 247)
Solve 2*n**3 - 82*n**2 + 304*n - 296 = 0 for n.
2, 37
Factor 4*h**4 - 160*h**3 + 716*h**2 - 560*h.
4*h*(h - 35)*(h - 4)*(h - 1)
Find s such that 462*s**5/5 - 664*s**4/5 - 114*s**3/5 + 356*s**2/5 - 24*s/5 - 16/5 = 0.
-2/3, -2/11, 2/7, 1
Factor -2*k**3/9 + 230*k**2/9 + 232*k/9.
-2*k*(k - 116)*(k + 1)/9
Determine v, given that 2*v**3/9 + 298*v**2/3 + 5308*v/9 + 784 = 0.
-441, -4, -2
Find f such that 5*f**5 - 10*f**4 - 15*f**3 + 40*f**2 - 20*f = 0.
-2, 0, 1, 2
What is f in 7714059*f**4/7 - 506763*f**3/7 + 11097*f**2/7 - 81*f/7 = 0?
0, 3/137
Find o such that o**2/3 - 809*o/3 = 0.
0, 809
Factor -2*i**2/7 + 488*i/7 - 486/7.
-2*(i - 243)*(i - 1)/7
Factor n**3 + 5*n**2/7 - 1472*n/7 + 60.
(n - 14)*(n + 15)*(7*n - 2)/7
Factor -4*z**4 - 8*z**3 + 32*z**2 + 72*z + 36.
-4*(z - 3)*(z + 1)**2*(z + 3)
Find s such that -s**5 - 18*s**4 - 115*s**3 - 330*s**2 - 424*s - 192 = 0.
-8, -4, -3, -2, -1
Factor 22*h**5/5 + 6*h**4 - 28*h**3/5.
2*h**3*(h + 2)*(11*h - 7)/5
Determine k, given that 3*k**5 + 21*k**4 - 18*k**3 - 204*k**2 + 120*k + 288 = 0.
-6, -4, -1, 2
Factor -2*t**4 - 16*t**3 + 54*t**2 + 148*t + 80.
-2*(t - 4)*(t + 1)**2*(t + 10)
Factor c**3 + 6*c**2 + 5*c.
c*(c + 1)*(c + 5)
Factor -2*s**2/9 + 316*s/9 - 314/9.
-2*(s - 157)*(s - 1)/9
Factor -9*d**3 + 254*d**2 - 56*d.
-d*(d - 28)*(9*d - 2)
Determine n so that -n**3 - 2847*n**2 - 2701803*n - 854670349 = 0.
-949
What is w in w**2 - 4*w + 4 = 0?
2
What is h in -25*h**2 + 190*h + 80 = 0?
-2/5, 8
Factor -3*i**2 + 102*i - 192.
-3*(i - 32)*(i - 2)
Solve 2*h**5/5 - 80*h**4 + 18746*h**3/5 + 127244*h**2/5 + 13184*h/5 - 678976/5 = 0.
-4, 2, 103
Determine p, given that 3*p**4 - 24*p**3 -