- 18*g = 0. Calculate g.
-2, -3/2, 0, 1
What is h in -1682*h**5/3 - 6090*h**4 + 7576*h**3 - 2872*h**2/3 + 32*h = 0?
-12, 0, 2/29, 1
Solve -26*i**2 + 86*i - 60 = 0 for i.
1, 30/13
Factor -2*c**3/3 + 46*c**2/3 - 352*c/3 + 896/3.
-2*(c - 8)**2*(c - 7)/3
Factor 3*j**2/8 - 13473*j/4 + 60507243/8.
3*(j - 4491)**2/8
Suppose 4*w**3 + 4664*w**2 + 9316*w + 4656 = 0. What is w?
-1164, -1
What is j in 4*j**5 + 88*j**4 + 532*j**3 + 256*j**2 - 2480*j + 1600 = 0?
-10, -4, 1
Determine z, given that 3*z**2/2 + 57*z/2 + 27 = 0.
-18, -1
Determine c so that -95*c**4 + 385*c**3 - 20*c**2 = 0.
0, 1/19, 4
Determine u, given that 5*u**4 + 5*u**3 - 15*u**2 - 5*u + 10 = 0.
-2, -1, 1
What is l in -l**3/8 + 29*l**2/2 + 235*l/8 + 59/4 = 0?
-1, 118
Determine j so that -2*j**2 + 84*j + 86 = 0.
-1, 43
Suppose 3*f**5/2 + 1608*f**4 - 6447*f**3 + 9678*f**2 - 12909*f/2 + 1614 = 0. Calculate f.
-1076, 1
Factor -2*f**3 + 8*f**2 - 6*f.
-2*f*(f - 3)*(f - 1)
Solve 3*r**4/5 + 1323*r**3/5 - 1329*r**2/5 - 1323*r/5 + 1326/5 = 0.
-442, -1, 1
Factor f**2 + 32*f + 60.
(f + 2)*(f + 30)
Find t such that -2*t**2/5 - 566*t/5 - 1124/5 = 0.
-281, -2
Let 3*i**3 - 18*i**2 = 0. What is i?
0, 6
Suppose 27*v**5/2 + 627*v**4/2 - 537*v**3/2 - 771*v**2/2 + 255*v + 72 = 0. Calculate v.
-24, -1, -2/9, 1
Factor -3*y**3 + 42*y**2.
-3*y**2*(y - 14)
Suppose -2*v**3/17 - 28*v**2/17 - 80*v/17 = 0. Calculate v.
-10, -4, 0
Determine b, given that -b**2/4 - 108*b - 11664 = 0.
-216
Factor 3*j**3 + 360*j**2 + 2931*j - 7326.
3*(j - 2)*(j + 11)*(j + 111)
Factor -2*k**4/5 + 108*k**3/5 + 22*k**2.
-2*k**2*(k - 55)*(k + 1)/5
Let -4*o**5/11 - 62*o**4/11 - 290*o**3/11 - 310*o**2/11 + 414*o/11 + 252/11 = 0. Calculate o.
-7, -6, -3, -1/2, 1
Suppose -112*c**5/3 - 290*c**4/3 + 8*c**3/3 + 346*c**2/3 + 104*c/3 - 56/3 = 0. What is c?
-2, -1, -7/8, 2/7, 1
Solve 100*a**3 + 60*a**2 - 36*a + 4 = 0 for a.
-1, 1/5
Factor -3*f**2/4 - 837*f/8 - 417/8.
-3*(f + 139)*(2*f + 1)/8
Find x such that -2*x**4/5 + 34*x**3/5 - 136*x**2/5 + 40*x - 96/5 = 0.
1, 2, 12
Determine b, given that 18*b**2 + 214*b + 196 = 0.
-98/9, -1
Factor 6*l**2 - 62*l + 20.
2*(l - 10)*(3*l - 1)
Suppose 2*i**2/7 + 58*i/7 - 60/7 = 0. What is i?
-30, 1
Find x such that -5*x**4 - 220*x**3 - 2630*x**2 - 4620*x - 2205 = 0.
-21, -1
Suppose 2*x**2/5 + 18*x/5 - 4 = 0. What is x?
-10, 1
Solve -5*r**2 + 90*r - 400 = 0.
8, 10
Factor -121*n**3/7 - 143*n**2/7 - 23*n/7 - 1/7.
-(n + 1)*(11*n + 1)**2/7
Factor -5*n**2 - 2575*n + 2580.
-5*(n - 1)*(n + 516)
Let 3*n**3/5 + 783*n**2/5 - 474*n + 1584/5 = 0. Calculate n.
-264, 1, 2
Solve 5*m**2 + 110*m - 115 = 0.
-23, 1
Determine y, given that -10*y**5 + 324*y**4 - 1938*y**3 + 2224*y**2 - 600*y = 0.
0, 2/5, 1, 6, 25
Factor -2*b**3 - 44*b**2 - 56*b + 2352.
-2*(b - 6)*(b + 14)**2
Determine s, given that 2*s**4 + 1176*s**3 + 259308*s**2 + 25412184*s + 933897762 = 0.
-147
Factor k**4 + 7*k**3 + 14*k**2 + 8*k.
k*(k + 1)*(k + 2)*(k + 4)
Let -n**4/2 + 4*n**3 - 19*n**2/2 + 6*n = 0. What is n?
0, 1, 3, 4
Factor -3*b**3 + 60*b**2 + 201*b + 138.
-3*(b - 23)*(b + 1)*(b + 2)
Determine y so that 3*y**3 - 21*y**2 + 42*y - 24 = 0.
1, 2, 4
Factor u**4 + 4*u**3 + 2*u**2 - 4*u - 3.
(u - 1)*(u + 1)**2*(u + 3)
Determine w so that 3*w**2 - 129*w + 246 = 0.
2, 41
Factor 5*q**2 - 450*q + 445.
5*(q - 89)*(q - 1)
Factor 2*n**4/13 + 106*n**3/13 + 588*n**2/13 + 88*n + 752/13.
2*(n + 2)**3*(n + 47)/13
Solve 11*i**4/3 - 35*i**3/3 + 13*i**2 - 17*i/3 + 2/3 = 0 for i.
2/11, 1
Factor 2*f**4/13 + 368*f**3/13 + 16556*f**2/13 - 34224*f/13 + 17298/13.
2*(f - 1)**2*(f + 93)**2/13
Factor u**2/7 + 6*u/7 - 40/7.
(u - 4)*(u + 10)/7
Factor -5*m**5 - 13*m**4 - 6*m**3.
-m**3*(m + 2)*(5*m + 3)
Factor -243*j**3/2 - 12663*j**2 - 659883*j/2.
-3*j*(9*j + 469)**2/2
Factor -15*s**3 + 3546*s**2 - 1416*s.
-3*s*(s - 236)*(5*s - 2)
Determine c, given that 8*c**5/7 + 4*c**4/7 - 48*c**3/7 - 88*c**2/7 - 8*c - 12/7 = 0.
-1, -1/2, 3
Solve -18*d**4/11 + 1552*d**3/11 + 2806*d**2/11 + 884*d/11 - 32 = 0.
-1, 2/9, 88
Solve -4*u**2 + 952*u - 56644 = 0 for u.
119
Solve -5*t**3 - 130*t**2 + 1755*t - 1620 = 0.
-36, 1, 9
Suppose 5*p**5 - 510*p**4 + 17405*p**3 - 224400*p**2 + 968000*p = 0. What is p?
0, 11, 40
Factor 2*z**2/7 - 2*z.
2*z*(z - 7)/7
Determine j so that -3*j**5 + 156*j**3 + 666*j**2 + 999*j + 486 = 0.
-3, -2, -1, 9
Solve 5*v**2 - 305*v = 0 for v.
0, 61
Factor -27*a**3 + 795*a**2 - 1048*a/3 + 116/3.
-(a - 29)*(9*a - 2)**2/3
Factor 2*w**2/15 - 2756*w/3 + 4747210/3.
2*(w - 3445)**2/15
Solve -3*s**2/5 + 243/5 = 0 for s.
-9, 9
Find f, given that f**2/3 - 112*f/3 - 76 = 0.
-2, 114
Factor 121*o**2 + 264*o + 144.
(11*o + 12)**2
Let 2*j**3/9 + 106*j**2/9 - 332*j/9 + 224/9 = 0. Calculate j.
-56, 1, 2
Let 5043*t**2 - 492*t + 12 = 0. What is t?
2/41
Find q, given that 3*q**3/2 - 325*q**2/3 + 1968*q - 432 = 0.
2/9, 36
Suppose g**5/11 - g**4 - 12*g**3/11 = 0. What is g?
-1, 0, 12
Find g such that -2*g**4/5 - 16*g**3/5 - 18*g**2/5 + 36*g/5 = 0.
-6, -3, 0, 1
Solve u**2/4 - u - 21/4 = 0 for u.
-3, 7
Suppose j**5 - 40*j**4 - 172*j**3 - 176*j**2 = 0. What is j?
-2, 0, 44
What is v in -2*v**3/7 - 62*v**2 = 0?
-217, 0
Let m**5/3 + 7*m**4/3 + 13*m**3/3 - m**2 - 6*m = 0. Calculate m.
-3, -2, 0, 1
Factor -3*x**2 + 258*x - 3360.
-3*(x - 70)*(x - 16)
Factor f**2/3 + 904*f/3 + 204304/3.
(f + 452)**2/3
Factor -2*r**2/21 - 6116*r/21 - 4675682/21.
-2*(r + 1529)**2/21
Let -8*f**5 + 98*f**4 - 242*f**3 + 48*f**2 + 216*f = 0. Calculate f.
-3/4, 0, 2, 9
Solve -4*h**5 + 48*h**4 - 144*h**3 - 216*h**2 + 1620*h - 1944 = 0.
-3, 3, 6
Let -h**2/3 - 28*h - 83/3 = 0. What is h?
-83, -1
Factor -3*w**2 + 33*w.
-3*w*(w - 11)
Solve -b**4/4 + 34*b**3 - 459*b**2/2 + 486*b - 1161/4 = 0 for b.
1, 3, 129
Suppose 3*y**5/7 - 27*y**4/7 + 9*y**3 - 57*y**2/7 + 18*y/7 = 0. What is y?
0, 1, 6
Factor -5*d**4 + 5*d**3 + 15*d**2 - 5*d - 10.
-5*(d - 2)*(d - 1)*(d + 1)**2
Solve 2*q**2/7 - 58*q/7 + 360/7 = 0 for q.
9, 20
Factor -k**4 + 25*k**3 + 53*k**2 + 27*k.
-k*(k - 27)*(k + 1)**2
Solve -3*f**4 - 25*f**3 + 21*f**2 + 25*f - 18 = 0 for f.
-9, -1, 2/3, 1
Let 4*j**3 + 216*j**2 + 2976*j + 5120 = 0. What is j?
-32, -20, -2
Suppose -a**3 - 7*a**2 - 8*a + 16 = 0. Calculate a.
-4, 1
Factor -v**4 + 31*v**3 - 113*v**2 + 137*v - 54.
-(v - 27)*(v - 2)*(v - 1)**2
Factor -5*c**3 - 50*c**2 + 545*c - 850.
-5*(c - 5)*(c - 2)*(c + 17)
Factor -3*b**3 + 6*b**2 + 9*b.
-3*b*(b - 3)*(b + 1)
Factor 2*t**3/9 + 10*t**2/9 + 14*t/9 + 2/3.
2*(t + 1)**2*(t + 3)/9
Solve h**2/2 - 1121*h/2 + 560 = 0.
1, 1120
Factor s**3/4 + s**2/4 - s - 1.
(s - 2)*(s + 1)*(s + 2)/4
Find m, given that 2*m**2/13 + 16524*m/13 + 34130322/13 = 0.
-4131
Factor g**4 + 152*g**3 - 465*g**2.
g**2*(g - 3)*(g + 155)
Factor 10*i**3/7 + 68*i**2/7 - 94*i/7 + 16/7.
2*(i - 1)*(i + 8)*(5*i - 1)/7
Suppose -63*v**3/4 - 435*v**2/4 + 1407*v/2 - 66 = 0. What is v?
-11, 2/21, 4
Factor 2*a**3 + 24*a**2 + 22*a.
2*a*(a + 1)*(a + 11)
Determine w so that 4*w**4 - 109*w**3 + 23*w**2 + 109*w - 27 = 0.
-1, 1/4, 1, 27
Find z, given that 2*z**3 + 10*z**2 + 14*z + 6 = 0.
-3, -1
Factor 2*s**3 - 138*s**2 + 268*s.
2*s*(s - 67)*(s - 2)
Factor -346*m**3 + 696*m**2 - 354*m + 4.
-2*(m - 1)**2*(173*m - 2)
Solve x**2/5 + 18*x/5 - 8 = 0.
-20, 2
Let -g**2/4 - 183*g - 731/4 = 0. What is g?
-731, -1
Let 3*t**2/7 - 30*t - 213/7 = 0. What is t?
-1, 71
Factor -3*x**4/8 + 3*x**3/4 + 3*x**2/8 - 3*x/4.
-3*x*(x - 2)*(x - 1)*(x + 1)/8
Let 49*r**5/3 - 70*r**4/3 - 101*r**3/3 + 62*r**2/3 + 52*r/3 + 8/3 = 0. Calculate r.
-1, -2/7, 1, 2
Factor -4*o**3 - 238*o**2 - 3156*o + 1638.
-2*(o + 21)*(o + 39)*(2*o - 1)
Find g, given that 2*g**5/15 - 56*g**4/15 + 106*g**3/3 - 1996*g**2/15 + 3256*g/15 - 1936/15 = 0.
2, 11
Determine t so that t**3/3 - 95*t**2/3 + 2303*t/3 - 2209/3 = 0.
1, 47
Factor -2*z**2/17 + 29868*z/17 - 111512178/17.
-2*(z - 7467)**2/17
Solve 2*z**2/15 - 22*z/15 + 4 = 0 for z.
5, 6
Factor 2*g**4/3 - 8*g**3/3 + 10*g**2/3 - 4*g/3.
2*g*(g - 2)*(g - 1)**2/3
Factor -f**3/4 + 51*f**2/2 + 529*f/4 + 321/2.
-(f - 107)*(f + 2)*(f + 3)/4
Find m, given that -2*m**3/9 - 8*m**2/9 - 2*m/9 + 4/3 = 0.
-3, -2, 1
Factor q**2/5 - 3*q + 44/5.
(q - 11)*(q - 4)/5
Suppose -z**4/4 + 92*z**3 - 33485*z**2/4 - 34225*z/2 = 0. What is z?
-2, 0, 185
Factor -2*s**4/5 + 338*s**3/5 + 1026*s**2/5 + 206*s + 344/5.
-2*(s - 172)*(s + 1)**3/5
Determine y so that y**4/8 + 7*y**3/4 - 9*y**2/2 - 135*y/4 +