*2/3 - 188*m/3 - 8836/3 = 0. What is m?
-94
Factor -3*q**2 + 762*q - 48387.
-3*(q - 127)**2
What is k in -882*k**3 - 2100*k**2 - 704*k - 64 = 0?
-2, -4/21
Solve 3*c**3 + 12*c**2 + 12*c = 0.
-2, 0
Find l such that -14641*l**2/4 - 242*l - 4 = 0.
-4/121
Factor 17*g**4/7 - 83*g**3/7 + 58*g**2/7 + 8*g/7.
g*(g - 4)*(g - 1)*(17*g + 2)/7
What is s in 3*s**3 - 51*s**2 - 54*s = 0?
-1, 0, 18
Find f such that 81*f**5/2 - 45*f**4 + 25*f**3/2 = 0.
0, 5/9
Factor -2*n**2/15 + 308*n/15 - 608/15.
-2*(n - 152)*(n - 2)/15
Determine g so that 5*g**2 + 580*g + 575 = 0.
-115, -1
Suppose 3*q**3 - 213*q**2 + 3672*q + 3888 = 0. Calculate q.
-1, 36
Factor 27*k**3/4 + 75*k**2/4 - 63*k/2 + 6.
3*(k - 1)*(k + 4)*(9*k - 2)/4
Suppose -81*k**3/4 + 927*k**2/4 - 100*k + 11 = 0. Calculate k.
2/9, 11
Factor -s**4/5 + 8*s**3 - 114*s**2/5 + 112*s/5 - 37/5.
-(s - 37)*(s - 1)**3/5
Let -n**5/3 + 5*n**4/6 + 11*n**3/3 + 8*n**2/3 - 2*n/3 - 5/6 = 0. What is n?
-1, 1/2, 5
Let -i**3/5 + 136*i**2/5 - 4189*i/5 - 30246/5 = 0. What is i?
-6, 71
Factor 4*q**2 + 364*q + 360.
4*(q + 1)*(q + 90)
Suppose -3*u**2 - 2790*u - 648675 = 0. What is u?
-465
Suppose 4*r**2 - 36*r - 88 = 0. What is r?
-2, 11
Find v such that v**5/3 + 23*v**4/3 + 22*v**3/3 = 0.
-22, -1, 0
Determine k so that -5*k**3 - 240*k**2 - 1495*k - 2460 = 0.
-41, -4, -3
Factor 2*f**2 - 5376*f + 3612672.
2*(f - 1344)**2
Solve 8*u**5/5 + 152*u**4/5 + 178*u**3/5 - 1180*u**2 + 2688*u/5 + 28224/5 = 0 for u.
-12, -2, 7/2
Suppose -2*y**4 - 58*y**3 - 40*y**2 + 472*y + 672 = 0. Calculate y.
-28, -2, 3
Find u, given that 4*u**5/7 - 16*u**3/7 + 8*u**2/7 + 12*u/7 - 8/7 = 0.
-2, -1, 1
Let 147*k**3 - 6111*k**2 + 3456*k - 492 = 0. Calculate k.
2/7, 41
Factor -2*b**2/3 + 17*b/3 - 7.
-(b - 7)*(2*b - 3)/3
Find c such that -5*c**4 + 5*c**3 + 435*c**2 + 1195*c + 770 = 0.
-7, -2, -1, 11
Factor -60*o**4 + 196*o**3 - 48*o**2.
-4*o**2*(o - 3)*(15*o - 4)
Solve 4311*s**5 + 14388*s**4/5 + 2407*s**3/5 + 2*s**2/5 = 0.
-1/3, -2/2395, 0
Find z, given that 3*z**2/7 + 1614*z + 1519581 = 0.
-1883
Factor r**4/3 + 4*r**3/3 - 170*r**2/3 + 268*r - 357.
(r - 7)*(r - 3)**2*(r + 17)/3
Factor -5*u**3 + 35*u**2 + 330*u - 360.
-5*(u - 12)*(u - 1)*(u + 6)
Factor 2*t**2/5 - 476*t/5 + 282.
2*(t - 235)*(t - 3)/5
Determine d so that -2*d**4/15 + 4*d**3 - 386*d**2/15 - 64*d - 512/15 = 0.
-1, 16
Factor 4*b**4/11 - 2*b**3/11 - 2*b**2/11.
2*b**2*(b - 1)*(2*b + 1)/11
Solve -25*o**4 - 210*o**3 - 380*o**2 - 120*o = 0.
-6, -2, -2/5, 0
Determine v, given that -14*v**2 + 96*v - 130 = 0.
13/7, 5
Suppose -2*l**5 - 320*l**4 - 16850*l**3 - 280260*l**2 + 612360*l - 314928 = 0. Calculate l.
-54, 1
Factor -16*q**2 - 104*q - 169.
-(4*q + 13)**2
Suppose -3*m**3 - 792*m**2 + 1593*m - 798 = 0. Calculate m.
-266, 1
Let -8*g**2/3 + 962*g/3 - 80 = 0. What is g?
1/4, 120
Let -3*l**5 + 3*l**4 + 42*l**3 + 78*l**2 + 57*l + 15 = 0. Calculate l.
-1, 5
Solve 2*s**2/5 + 58*s/5 - 192/5 = 0 for s.
-32, 3
Solve -h**4/6 - h**3 - 13*h**2/6 - 2*h - 2/3 = 0.
-2, -1
Let 3*l**2/5 + 234*l + 22815 = 0. What is l?
-195
Find l such that -305*l**2 - 8855*l - 290 = 0.
-29, -2/61
Factor -20*o**3/3 + 316*o**2/3 - 572*o/3 + 92.
-4*(o - 1)**2*(5*o - 69)/3
Factor y**4/4 + y**3/2 - 2*y**2 - 9*y/2 - 9/4.
(y - 3)*(y + 1)**2*(y + 3)/4
Determine l, given that 2*l**4/7 - 326*l**3/7 + 324*l**2/7 = 0.
0, 1, 162
Factor -4056*m**3/7 + 24648*m**2/7 - 90*m - 18900.
-6*(m + 2)*(26*m - 105)**2/7
Solve 4*z**2/3 + 88*z = 0.
-66, 0
Factor -50*y**3/9 - 140*y**2/3 - 18*y - 16/9.
-2*(y + 8)*(5*y + 1)**2/9
Factor 3*y**2/2 + 693*y/2 + 1026.
3*(y + 3)*(y + 228)/2
Solve -7*p**5/3 + 23*p**4/3 + 8*p**3/3 - 88*p**2/3 + 80*p/3 - 16/3 = 0.
-2, 2/7, 1, 2
Find o such that 2*o**2 + 312*o + 12168 = 0.
-78
Solve 3*f**4 - 63*f**3 + 117*f**2 - 57*f = 0.
0, 1, 19
Suppose 2*h**2/15 + 16*h + 480 = 0. What is h?
-60
Factor 4*m**2 + 9116*m - 9120.
4*(m - 1)*(m + 2280)
Factor -15*t**4 - 201*t**3 - 609*t**2 + 441*t.
-3*t*(t + 7)**2*(5*t - 3)
Factor -1848*c**2 - 498*c - 9.
-3*(4*c + 1)*(154*c + 3)
Find y such that -y**3/6 - 5*y**2/6 + 17*y/6 + 7/2 = 0.
-7, -1, 3
Determine o, given that -3*o**2 - 192*o - 372 = 0.
-62, -2
Find a such that 75*a**3/2 - 144*a**2 - 24*a = 0.
-4/25, 0, 4
Factor -27*d**3 - 2*d**2.
-d**2*(27*d + 2)
Factor w**4/2 + 5*w**3 - 198*w**2 - 2565*w - 4725/2.
(w - 21)*(w + 1)*(w + 15)**2/2
Solve -g**2 - 3*g = 0 for g.
-3, 0
Let 2*f**2/15 - 1364*f/5 + 697686/5 = 0. Calculate f.
1023
Let -4*g**2 - 1856*g - 215296 = 0. What is g?
-232
Find y, given that -8*y**5/7 + 22*y**4/7 + 44*y**3/7 - 10*y**2/7 - 24*y/7 = 0.
-1, 0, 3/4, 4
Factor 2*t**5/3 + 5*t**4/6 - t**3/3 - t**2/2.
t**2*(t + 1)**2*(4*t - 3)/6
Determine p, given that -3*p**2 + 19*p - 6 = 0.
1/3, 6
Factor -w**3/5 + 27*w**2/5 - 27*w + 189/5.
-(w - 21)*(w - 3)**2/5
Solve 2*f**2/7 + 442*f/7 + 876/7 = 0 for f.
-219, -2
Factor -i**3/2 + 14*i**2 - 21*i/2 - 81.
-(i - 27)*(i - 3)*(i + 2)/2
Solve 5*h**3/3 - 55*h**2/3 + 130*h/3 - 80/3 = 0.
1, 2, 8
Determine t so that -16*t**3/7 - 16*t**2/7 + 4*t/7 + 4/7 = 0.
-1, -1/2, 1/2
Factor j**5/4 + 21*j**4/4 - 11*j**3/2.
j**3*(j - 1)*(j + 22)/4
Factor i**3/7 - 2*i**2/7 - i - 4/7.
(i - 4)*(i + 1)**2/7
Find a, given that -4*a**3 + 20*a**2 + 244*a + 220 = 0.
-5, -1, 11
Factor 58564*f**2 - 1936*f + 16.
4*(121*f - 2)**2
Solve -3*n**4 - 42*n**3 - 72*n**2 = 0.
-12, -2, 0
Find m such that -m**5/3 - 11*m**4/3 - 35*m**3/3 - 25*m**2/3 = 0.
-5, -1, 0
Factor -y**3/5 + y**2/5 + 4*y/5 - 4/5.
-(y - 2)*(y - 1)*(y + 2)/5
Determine b so that b**2 - 216*b + 11664 = 0.
108
Solve h**5/4 + 79*h**4/4 + 1589*h**3/4 + 749*h**2/4 - 7293*h/2 + 3042 = 0.
-39, -4, 1, 2
Factor 2*a**2/9 + 10*a/3.
2*a*(a + 15)/9
Solve w**5/8 + w**4 + 13*w**3/8 + 3*w**2/4 = 0.
-6, -1, 0
Factor -5*r**2 + 1790*r - 160205.
-5*(r - 179)**2
Let -t**4/6 + 3*t**2/2 - 2*t/3 - 2 = 0. What is t?
-3, -1, 2
Factor -4*z**3/5 - 48*z**2/5 - 128*z/5.
-4*z*(z + 4)*(z + 8)/5
Let 5*i**3 - 215*i**2 + 210*i = 0. Calculate i.
0, 1, 42
Factor 2*r**3/3 + 34*r**2/3 + 88*r/3 + 56/3.
2*(r + 1)*(r + 2)*(r + 14)/3
Let -r**2 - 4234*r - 4481689 = 0. What is r?
-2117
Suppose 2*s**4 - 112*s**3 + 324*s**2 - 320*s + 106 = 0. What is s?
1, 53
Factor -4*r**4 + 84*r**3 + 972*r**2 + 3132*r + 3240.
-4*(r - 30)*(r + 3)**3
Factor 4*m**4/5 - 8*m**3/5 - 12*m**2 + 144*m/5.
4*m*(m - 3)**2*(m + 4)/5
Factor n**3/5 + 23*n**2 - 116*n/5.
n*(n - 1)*(n + 116)/5
Factor -3*q**3 - 62*q**2 + 21*q.
-q*(q + 21)*(3*q - 1)
Let -h**5/2 - h**4 + 3*h**3 + 4*h**2 - 5*h/2 - 3 = 0. Calculate h.
-3, -1, 1, 2
Solve 2*c**3/5 - 24*c**2/5 - 26*c/5 = 0.
-1, 0, 13
Factor -3*p**3 + 42*p**2 + 231*p - 270.
-3*(p - 18)*(p - 1)*(p + 5)
Factor -2*u**3 + 1424*u**2 + 1426*u.
-2*u*(u - 713)*(u + 1)
Find n, given that -12*n**3 + 9*n**2 + 45*n - 42 = 0.
-2, 1, 7/4
Factor -2*x**5/5 - 4*x**4 - 48*x**3/5 - 44*x**2/5 - 14*x/5.
-2*x*(x + 1)**3*(x + 7)/5
Let -2*z**5/3 - 2*z**4/3 + 2*z**3/3 + 2*z**2/3 = 0. What is z?
-1, 0, 1
Suppose 16*n**5 - 4*n**4 - 28*n**3 + 4*n**2 + 12*n = 0. Calculate n.
-1, -3/4, 0, 1
Factor -2*s**4 - 2320*s**3 - 896292*s**2 - 115022592*s + 115921206.
-2*(s - 1)*(s + 387)**3
Determine h so that 2*h**5/9 - 44*h**4/9 + 56*h**3/9 + 452*h**2/9 + 550*h/9 + 200/9 = 0.
-1, 5, 20
Factor -4*l**2 + 4128*l - 1065024.
-4*(l - 516)**2
Suppose 2*q**2/13 + 336*q/13 = 0. What is q?
-168, 0
Solve 2*a**2/3 - 242*a/3 - 244/3 = 0.
-1, 122
Solve -4*m**4 - 200*m**3 - 1092*m**2 - 1584*m = 0.
-44, -3, 0
What is i in 5*i**4 - 2210*i**3 + 4395*i**2 + 2210*i - 4400 = 0?
-1, 1, 2, 440
Let 2*g**2 - 248*g + 246 = 0. Calculate g.
1, 123
Factor -5*k**4 + 150*k**3 - 1120*k**2 - 150*k + 1125.
-5*(k - 15)**2*(k - 1)*(k + 1)
Suppose 2*i**3 + 26*i**2 - 2*i - 26 = 0. What is i?
-13, -1, 1
Determine p so that 3*p**2/4 - 9*p - 39/4 = 0.
-1, 13
Determine k, given that 7*k**4 + 26*k**3 + 4*k**2 - 42*k - 27 = 0.
-3, -1, 9/7
Find w, given that 3*w**3/4 - 705*w**2 - 8481*w/4 - 2829/2 = 0.
-2, -1, 943
Solve n**5 - n**4 - 15*n**3 + 9*n**2 + 54*n = 0.
-3, -2, 0, 3
What is o in -o**4 - 4*o**3 + 157*o**2 - 140*o - 300 = 0?
-15, -1, 2, 10
Let 2*h**3/17 + 8*h**2/17 - 806*h/17 - 7436/17 = 0. What is h?
-13, 22
Factor 3*a**3/4 - 21*a**2/4 + 9*a/2.
3*a*(a - 6)*(a - 1)/4
Let -2*m**3/11 + 1126*m**2/11 - 161262*m/11 + 778410/11 = 0. Calculate m.
5, 279
Factor -2*x**5/9 - 166*x**4/3 - 494*x**3/3 - 1478*x**2/9 - 164*x/3.
-2*x*(x + 1)**3*(x + 246)/9
Let 5