 12/11.
-2*(o - 2)*(o + 3)/11
Determine q so that -4*q**3 + 48*q**2 + 1252*q + 1200 = 0.
-12, -1, 25
Determine o so that -3*o**2/8 - 165*o/8 - 153/2 = 0.
-51, -4
Determine m, given that -3*m**2/5 + 15402*m/5 - 19768467/5 = 0.
2567
Let a**3/2 + 363*a**2/2 + 43923*a/2 + 1771561/2 = 0. What is a?
-121
Solve 3*i**4 - 732*i**3 + 66978*i**2 - 2723772*i + 41537523 = 0.
61
Factor 3*q**2/2 - 285*q/2 + 1275.
3*(q - 85)*(q - 10)/2
Factor -2*a**2/11 - 228*a/11 - 6498/11.
-2*(a + 57)**2/11
Let -z**5 - 10*z**4 - 30*z**3 - 40*z**2 - 25*z - 6 = 0. What is z?
-6, -1
Factor -3*u**3 + 60*u**2 + 3*u - 60.
-3*(u - 20)*(u - 1)*(u + 1)
Factor -g**3 + 7*g**2 - 2*g - 40.
-(g - 5)*(g - 4)*(g + 2)
Suppose 15*m**4/2 + 63*m**3/2 + 30*m**2 - 18*m - 24 = 0. Calculate m.
-2, -1, 4/5
Factor 5*q**2 - 20*q.
5*q*(q - 4)
Factor 2*q**4/3 - 58*q**3/3 + 56*q**2/3.
2*q**2*(q - 28)*(q - 1)/3
Factor -h**3/8 + 3*h**2/2 - 9*h/2 + 4.
-(h - 8)*(h - 2)**2/8
Factor -3*u**4 + 12*u**3 + 123*u**2 + 108*u.
-3*u*(u - 9)*(u + 1)*(u + 4)
Factor 3*i**2 - 3*i - 18.
3*(i - 3)*(i + 2)
Suppose -4*h**3/3 - 128*h**2/3 - 124*h/3 = 0. What is h?
-31, -1, 0
Determine c so that 3*c**5/2 + 6*c**4 - 141*c**3/2 + 177*c**2 - 174*c + 60 = 0.
-10, 1, 2
Factor -v**5 - 4*v**4 - 4*v**3 + 2*v**2 + 5*v + 2.
-(v - 1)*(v + 1)**3*(v + 2)
Determine n so that -n**3 - 17*n**2 - 15*n + 225 = 0.
-15, -5, 3
Let c**2 + 232*c + 231 = 0. What is c?
-231, -1
Factor -i**2/9 - i + 52/9.
-(i - 4)*(i + 13)/9
Factor 4*b**5 + 1084*b**4 + 71800*b**3 - 221944*b**2 + 224132*b - 75076.
4*(b - 1)**3*(b + 137)**2
Determine l so that 2*l**2/5 + 242*l/5 - 468 = 0.
-130, 9
Factor -6*w**3 - 526*w**2 - 2808*w - 1640.
-2*(w + 5)*(w + 82)*(3*w + 2)
Solve -4*c**2/7 - 348*c/7 - 680/7 = 0 for c.
-85, -2
Determine y so that -y**4/6 + 39*y**3/2 - 115*y**2/6 - 39*y/2 + 58/3 = 0.
-1, 1, 116
Solve 2*d**5 - 28*d**4/3 + 38*d**3/3 - 8*d**2/3 - 8*d/3 = 0 for d.
-1/3, 0, 1, 2
Find g, given that -4*g**5/3 - 36*g**4 + 244*g**3/3 + 332*g**2/3 - 160*g - 464/3 = 0.
-29, -1, 2
Let -6*i**5/7 + 2*i**4/7 + 18*i**3/7 + 6*i**2/7 - 4*i/7 = 0. Calculate i.
-1, 0, 1/3, 2
Factor -k**2/3 - 22*k/3 + 16.
-(k - 2)*(k + 24)/3
Suppose -8*d**5 - 116*d**4 - 320*d**3 + 764*d**2 - 64*d - 256 = 0. Calculate d.
-8, -1/2, 1
Factor 2*h**5 - 162*h**4 + 318*h**3 - 158*h**2.
2*h**2*(h - 79)*(h - 1)**2
Suppose 2*r**5/13 + 10*r**4/13 + 12*r**3/13 - 4*r**2/13 - 14*r/13 - 6/13 = 0. Calculate r.
-3, -1, 1
Determine j, given that -3*j**5/8 + 9*j**3/8 + 3*j**2/4 = 0.
-1, 0, 2
Factor 64*o**3 + 8*o**2 + o/4.
o*(16*o + 1)**2/4
Factor -2*o**2 + 580*o - 42050.
-2*(o - 145)**2
Factor 2*p**4/7 + 26*p**3/7 + 104*p**2/7 + 120*p/7.
2*p*(p + 2)*(p + 5)*(p + 6)/7
Determine a so that -a**2 - 13*a - 22 = 0.
-11, -2
Suppose q**2 + 75*q + 854 = 0. Calculate q.
-61, -14
Factor h**2/6 - 11*h/6 - 40/3.
(h - 16)*(h + 5)/6
Factor -7*c**3 - 26*c**2 - 20*c + 8.
-(c + 2)**2*(7*c - 2)
Factor -4*a**5 + 12*a**4 + 60*a**3 + 68*a**2 + 24*a.
-4*a*(a - 6)*(a + 1)**3
Factor 16*t**3 - 236*t**2/5 + 148*t/5 + 8/5.
4*(t - 2)*(t - 1)*(20*t + 1)/5
Factor c**2 - 42*c + 440.
(c - 22)*(c - 20)
Factor -y**4 + 35*y**3 - 67*y**2 + 33*y.
-y*(y - 33)*(y - 1)**2
Factor -3*k**5/5 + 33*k**4/5 + 15*k**3 + 39*k**2/5.
-3*k**2*(k - 13)*(k + 1)**2/5
Find z such that 2*z**2/13 - 660*z/13 + 1962/13 = 0.
3, 327
What is a in -3*a**3 + 39*a**2 + 192*a + 204 = 0?
-2, 17
Let -s**5 + 5*s**4/2 + 62*s**3 - 319*s**2/2 + 128*s - 32 = 0. What is s?
-8, 1/2, 1, 8
Factor -20*x**4/7 - 39*x**3/7 + 2*x**2/7.
-x**2*(x + 2)*(20*x - 1)/7
Determine o, given that -o**3/3 - o**2 - 2*o/3 = 0.
-2, -1, 0
Factor 3*u**5 + 111*u**4 + 210*u**3 - 6*u**2 - 213*u - 105.
3*(u - 1)*(u + 1)**3*(u + 35)
Find u such that 3*u**2 - 84*u + 576 = 0.
12, 16
Find a such that a**3 - 92*a**2 - 909*a = 0.
-9, 0, 101
What is w in 15*w**3 - 140*w**2 - 265*w - 110 = 0?
-1, -2/3, 11
What is j in -2*j**5/5 + 20*j**4/3 - 316*j**3/15 + 136*j**2/5 - 238*j/15 + 52/15 = 0?
2/3, 1, 13
Factor j**4/2 - 17*j**3/6 + 5*j**2/3.
j**2*(j - 5)*(3*j - 2)/6
Find z such that z**3 + 6*z**2 + 9*z = 0.
-3, 0
Suppose -8*v**3/9 - 202*v**2/9 - 548*v/9 + 176/3 = 0. Calculate v.
-22, -4, 3/4
Find o such that -3*o**4 + 63*o**3 - 249*o**2 + 117*o + 432 = 0.
-1, 3, 16
Factor 5*t**3 - 125*t**2 - 605*t + 725.
5*(t - 29)*(t - 1)*(t + 5)
Suppose -2*o**3/5 + 6*o**2/5 + 36*o/5 - 16 = 0. Calculate o.
-4, 2, 5
Determine m so that -2*m**2 + 332*m = 0.
0, 166
Suppose 2*w**4/5 - 6*w**3/5 + 8*w/5 = 0. What is w?
-1, 0, 2
Determine x so that -4*x**3 - 12216*x**2 - 12435888*x - 4219911328 = 0.
-1018
Let -t**5/5 + 8*t**4/5 - t**3 - 14*t**2/5 = 0. Calculate t.
-1, 0, 2, 7
Factor -2*q**3 - 36*q**2 - 64*q.
-2*q*(q + 2)*(q + 16)
What is m in 2*m**2 - 632*m + 49928 = 0?
158
Solve 18*p**4 + 508*p**3 + 3640*p**2 + 784*p = 0.
-14, -2/9, 0
What is q in q**2/3 + 48*q = 0?
-144, 0
Determine x so that 2*x**2/3 - 1728*x + 1119744 = 0.
1296
Let 2*v**2 - 70*v + 348 = 0. What is v?
6, 29
Let 5*m**4 - 785*m**3 + 2310*m**2 + 20*m - 3080 = 0. What is m?
-1, 2, 154
Solve 22*k**3 + 744*k**2 - 906*k + 140 = 0 for k.
-35, 2/11, 1
Find c, given that 2*c**2 - 148*c - 304 = 0.
-2, 76
Factor o**2 - 5*o + 6.
(o - 3)*(o - 2)
Factor 4*w**2 - 36*w + 56.
4*(w - 7)*(w - 2)
Factor s**4 + 22*s**3 - s**2 - 22*s.
s*(s - 1)*(s + 1)*(s + 22)
Let -4*b**3 - 34*b**2/3 + 8*b/3 + 56/3 = 0. Calculate b.
-2, 7/6
What is l in 5*l**3 + 16950*l**2 + 19153500*l + 7214485000 = 0?
-1130
Factor -6*m**3/7 - 36*m**2/7 - 30*m/7 + 72/7.
-6*(m - 1)*(m + 3)*(m + 4)/7
Suppose 2*b**5/11 - 32*b**4 + 15826*b**3/11 - 28868*b**2/11 - 63336*b/11 + 121104/11 = 0. What is b?
-2, 2, 87
Determine p so that -4*p**3/3 - 16*p**2 + 1252*p/3 - 400 = 0.
-25, 1, 12
Factor 2*a**3 + 5126*a**2 + 3287046*a + 3281922.
2*(a + 1)*(a + 1281)**2
Find n such that -5*n**2 + 5535*n - 11050 = 0.
2, 1105
Solve -k**4/3 - 44*k**3 - 3646*k**2/3 + 15620*k - 126025/3 = 0.
-71, 5
Find k such that -3*k**4 - 1011*k**3 - 113904*k**2 - 4327680*k - 4214784 = 0.
-112, -1
Factor 4*l**4 + 156*l**3 + 1596*l**2 + 1444*l.
4*l*(l + 1)*(l + 19)**2
Factor 15*r**2/8 + 69*r/8 - 15/4.
3*(r + 5)*(5*r - 2)/8
Factor b**4/4 - 11*b**3 + 563*b**2/4 - 430*b + 300.
(b - 20)**2*(b - 3)*(b - 1)/4
Factor 2*d**3/7 - 12*d**2/7 + 16*d/7.
2*d*(d - 4)*(d - 2)/7
Determine p so that -2*p**3 + 156*p**2 = 0.
0, 78
What is j in 3*j**3/7 - 21*j**2 = 0?
0, 49
Let w**4 - 60*w**3 - 189*w**2 - 4*w + 252 = 0. What is w?
-2, 1, 63
Find u, given that -u**5/8 - 3*u**4/4 - 13*u**3/8 - 3*u**2/2 - u/2 = 0.
-2, -1, 0
Factor -u**3/3 - 115*u**2/3 - 227*u/3 - 113/3.
-(u + 1)**2*(u + 113)/3
Factor 3*o**2 - 129*o - 5670.
3*(o - 70)*(o + 27)
Factor -2*o**2/3 + 2*o/3 + 4.
-2*(o - 3)*(o + 2)/3
Factor -2*j**3 - 6*j**2 + 26*j + 30.
-2*(j - 3)*(j + 1)*(j + 5)
Factor a**5/3 + 9*a**4 + 61*a**3 + 397*a**2/3 + 116*a + 36.
(a + 1)**3*(a + 6)*(a + 18)/3
Factor 2*x**4/11 + 2*x**3/11 - 10*x**2/11 + 6*x/11.
2*x*(x - 1)**2*(x + 3)/11
Factor 11*d**3 + 3*d**2.
d**2*(11*d + 3)
Suppose -4*h**3/3 - 116*h**2/3 + 128*h = 0. Calculate h.
-32, 0, 3
Factor -2*k**3 + 718*k**2/3 - 1430*k/9 + 238/9.
-2*(k - 119)*(3*k - 1)**2/9
Factor 4*c**3 - 48*c**2 + 68*c + 120.
4*(c - 10)*(c - 3)*(c + 1)
Solve -15*c**2 - 558*c - 25947/5 = 0.
-93/5
Suppose -s**3/2 + s**2/2 + 28*s + 72 = 0. Calculate s.
-4, 9
Find p, given that -2*p**2/5 - 172*p/5 - 3698/5 = 0.
-43
Factor -2*h**2/5 + 86*h/5 + 1188/5.
-2*(h - 54)*(h + 11)/5
Factor 2*x**3 - 826*x**2 + 85696*x - 84872.
2*(x - 206)**2*(x - 1)
Let 3*v**4/7 + 144*v**3/7 - 309*v**2/7 - 450*v/7 = 0. What is v?
-50, -1, 0, 3
Factor -3*u**2 - 970*u + 648.
-(u + 324)*(3*u - 2)
Let 5*q**2 - 830*q + 1640 = 0. Calculate q.
2, 164
Factor -3*m**2/2 - 453*m + 4605/2.
-3*(m - 5)*(m + 307)/2
Determine b, given that -3*b**4/5 - 36*b**3/5 - 27*b**2 - 30*b = 0.
-5, -2, 0
Determine y so that 2*y**3/9 - 454*y**2/9 - 152*y/3 = 0.
-1, 0, 228
Determine h so that -6*h**4 + 182*h**3 + 249*h**2/2 - 15*h - 31/2 = 0.
-1/2, 1/3, 31
Factor -5*q**2 + 3580*q - 640820.
-5*(q - 358)**2
Factor -7*p**4/4 + 101*p**3/4 - 47*p**2/2.
-p**2*(p - 1)*(7*p - 94)/4
Factor -5*z**3 - 6200*z**2 - 1922000*z.
-5*z*(z + 620)**2
Solve 4*t**3 + 1180*t**2 + 2348*t + 1172 = 0.
-293, -1
Factor -3*q**2 - 17748*q - 26249292.
-3*(q + 2958)**2
Determine u, given that -12*u**2 + 17968*u + 11984 = 0.
-2/3, 1498
Factor 2*w**3/11 + 12*w**2/11 + 16*w/11.
2*