6
Factor 2*q**3/7 + 44*q**2/7 - 94*q/7 + 48/7.
2*(q - 1)**2*(q + 24)/7
Find a such that -a**4 - 99*a**3 - 2297*a**2 + 7599*a - 5202 = 0.
-51, 1, 2
Let -36*t**5 + 111*t**4 - 84*t**3 - 54*t**2 + 96*t - 33 = 0. Calculate t.
-11/12, 1
Factor -i**5 + i**4 + 6*i**3 + 2*i**2 - 5*i - 3.
-(i - 3)*(i - 1)*(i + 1)**3
Find t such that -2*t**2/11 + 1062*t/11 = 0.
0, 531
Factor 2*c**2/13 + 332*c/13 - 672/13.
2*(c - 2)*(c + 168)/13
Determine p so that -4*p**3 - 12*p**2 + 232*p - 480 = 0.
-10, 3, 4
Determine y, given that -y**3/2 - 251*y**2/6 = 0.
-251/3, 0
Factor -2*j**2 - 364*j + 736.
-2*(j - 2)*(j + 184)
Factor y**3/3 + 4*y**2 + 12*y + 32/3.
(y + 2)**2*(y + 8)/3
Suppose 4*s**2/7 + 332*s/7 - 680/7 = 0. Calculate s.
-85, 2
Factor -3*z**3/8 - 21*z**2/4 - 165*z/8 - 63/4.
-3*(z + 1)*(z + 6)*(z + 7)/8
Solve -2*l**3/3 - 26*l**2/3 - 92*l/3 - 32 = 0 for l.
-8, -3, -2
Factor 2*n**2/3 - n.
n*(2*n - 3)/3
Solve -5*f**5 - 30*f**4 + 65*f**3 + 210*f**2 = 0.
-7, -2, 0, 3
Factor 2*r**4/13 - 6*r**3/13 + 8*r/13.
2*r*(r - 2)**2*(r + 1)/13
Determine o so that -3*o**2 - 102*o - 279 = 0.
-31, -3
Factor z**2/4 + 17*z + 67/4.
(z + 1)*(z + 67)/4
Let g**2/2 + 47*g + 2209/2 = 0. Calculate g.
-47
Factor -36*y**2/7 + 128*y - 768/7.
-4*(y - 24)*(9*y - 8)/7
Factor 2*p**3 - 60*p**2 - 128*p.
2*p*(p - 32)*(p + 2)
Let 3*b**3 - 18*b**2 + 24*b = 0. Calculate b.
0, 2, 4
Solve 2*y**3/7 + 690*y**2/7 + 59166*y/7 - 59858/7 = 0 for y.
-173, 1
Factor -2*n**3 + 8190*n**2 - 11179350*n + 5086604250.
-2*(n - 1365)**3
Factor 5*j**4 - 15*j**3 - 10*j**2 + 60*j - 40.
5*(j - 2)**2*(j - 1)*(j + 2)
Factor 2*d**2/5 + 678*d/5 + 676/5.
2*(d + 1)*(d + 338)/5
Suppose p**5/4 - 9*p**4/4 + 15*p**3/4 - 7*p**2/4 = 0. What is p?
0, 1, 7
Let 3*d**5 + 60*d**4 + 237*d**3 + 180*d**2 = 0. Calculate d.
-15, -4, -1, 0
Solve 3*s**4 - 27*s**3 + 78*s**2 - 72*s = 0 for s.
0, 2, 3, 4
Find k, given that 4*k**5/9 + 8*k**4/9 - 4*k**3/9 - 8*k**2/9 = 0.
-2, -1, 0, 1
Suppose i**3/2 - 20*i**2 + 289*i/2 + 165 = 0. Calculate i.
-1, 11, 30
Factor 2*y**2 + 4036*y.
2*y*(y + 2018)
Factor 2*d**3/5 + 108*d**2/5 + 202*d/5 - 312/5.
2*(d - 1)*(d + 3)*(d + 52)/5
Solve -s**5/2 + 25*s**4 - 284*s**3 - 776*s**2 + 1144*s + 2704 = 0 for s.
-2, 2, 26
Determine t so that 4*t**4/17 + 26*t**3/17 + 10*t**2/17 - 12*t/17 = 0.
-6, -1, 0, 1/2
Factor y**2/8 + 2*y.
y*(y + 16)/8
Factor -2*q**4 + 4*q**3 + 22*q**2 - 24*q.
-2*q*(q - 4)*(q - 1)*(q + 3)
Let x**4/2 - 7*x**3/2 - 4*x**2 = 0. What is x?
-1, 0, 8
Factor -5*o**2 + 15*o + 650.
-5*(o - 13)*(o + 10)
What is r in -2*r**3/3 - 44*r**2/3 - 178*r/3 - 136/3 = 0?
-17, -4, -1
Factor -4*h**5 - 312*h**4 - 9728*h**3 - 151552*h**2 - 1179648*h - 3670016.
-4*(h + 14)*(h + 16)**4
Factor 5*d**2 - 280*d + 2940.
5*(d - 42)*(d - 14)
What is u in u**2 - 354*u + 31329 = 0?
177
Factor 3*h**3/2 + 50*h**2 + 129*h/2 + 16.
(h + 1)*(h + 32)*(3*h + 1)/2
Factor -2*f**3/7 - 4*f**2/7 + 2*f - 8/7.
-2*(f - 1)**2*(f + 4)/7
Factor -2*l**2/9 + 412*l/9 + 994/3.
-2*(l - 213)*(l + 7)/9
Factor 3*a**2 - 3846*a + 1232643.
3*(a - 641)**2
Solve 3*d**5 + 12*d**4 - 33*d**3 + 18*d**2 = 0.
-6, 0, 1
Determine r, given that 2*r**4 - 42*r**3 + 96*r**2 + 232*r - 288 = 0.
-2, 1, 4, 18
Determine p, given that -p**5 + 116*p**4 - 3361*p**3 - 350*p**2 + 10324*p - 6728 = 0.
-2, 1, 58
Let -2*m**5 + 12*m**4 - 20*m**3 + 22*m - 12 = 0. What is m?
-1, 1, 2, 3
What is i in 2*i**2/17 - 264*i/17 + 3510/17 = 0?
15, 117
Let -2*r**3/7 + 72*r**2 - 30720*r/7 - 131072/7 = 0. Calculate r.
-4, 128
Factor 3*z**3/2 - 195*z**2/2 - 102*z + 198.
3*(z - 66)*(z - 1)*(z + 2)/2
Factor y**3 - 92*y**2 + 2116*y.
y*(y - 46)**2
Let 220*m**5/7 + 1458*m**4/7 + 290*m**3/7 - 192*m**2/7 = 0. What is m?
-32/5, -1/2, 0, 3/11
Find l, given that -l**5/2 - 23*l**4/2 + 25*l**3/2 + 23*l**2/2 - 12*l = 0.
-24, -1, 0, 1
Determine u, given that 15*u**5 - 9*u**4 - 36*u**3 - 12*u**2 = 0.
-1, -2/5, 0, 2
Factor -5*s**4 - 160*s**3 + 170*s**2 + 160*s - 165.
-5*(s - 1)**2*(s + 1)*(s + 33)
Factor -c**2/3 + 20*c/3 - 28.
-(c - 14)*(c - 6)/3
Let 4*w**5 - 28*w**4 + 64*w**3 - 48*w**2 = 0. Calculate w.
0, 2, 3
Find m such that 2*m**5/15 + 284*m**4/15 + 838*m**3/15 + 556*m**2/15 = 0.
-139, -2, -1, 0
Let -2*a**2/13 + 20*a/13 - 50/13 = 0. What is a?
5
Factor l**3/8 + 13*l**2/8 + 4*l + 5/2.
(l + 1)*(l + 2)*(l + 10)/8
Factor -x**3/10 + 2013*x**2/10 - 1350723*x/10 + 302111711/10.
-(x - 671)**3/10
Suppose 3*k**3/4 + 1873*k**2/4 - 1253*k + 627 = 0. Calculate k.
-627, 2/3, 2
Solve -16*z**3 - 4*z**2 + 16*z + 4 = 0.
-1, -1/4, 1
Solve -2*m**2 - 4*m = 0.
-2, 0
Solve -24*y**4 + 118*y**3 - 182*y**2 + 80*y + 8 = 0.
-1/12, 1, 2
Solve 8*g**3/5 - 28*g**2/5 - 132*g/5 + 72/5 = 0 for g.
-3, 1/2, 6
Determine g so that 1029*g**4 + 4851*g**3 - 7371*g**2 + 3321*g - 486 = 0.
-6, 3/7
Solve j**4/2 + 967*j**3 + 937021*j**2/2 + 934122*j + 466578 = 0.
-966, -1
Let 4*y**3 - 48*y**2 + 176*y - 192 = 0. What is y?
2, 4, 6
Factor -5*t**4 + 5*t**3.
-5*t**3*(t - 1)
Let r**3 - 8*r**2 + 17*r - 10 = 0. What is r?
1, 2, 5
Factor 2*q**2/3 - 2*q/3 - 8.
2*(q - 4)*(q + 3)/3
Factor -2*t**3/9 + 58*t**2/9 + 8*t - 40.
-2*(t - 30)*(t - 2)*(t + 3)/9
Solve -2*j**4 + 10*j**3 - 14*j**2 + 6*j = 0.
0, 1, 3
Find i such that -2*i**2/5 - 6*i - 28/5 = 0.
-14, -1
Suppose -3*i**5/5 + 9*i**4/5 - 6*i**3/5 = 0. Calculate i.
0, 1, 2
Solve r**3/6 - 380*r**2/3 + 145157*r/6 - 143641/3 = 0 for r.
2, 379
Suppose -o**4 + o**3 + o**2 - o = 0. Calculate o.
-1, 0, 1
Factor -2*v**3 + 36*v**2 - 64*v.
-2*v*(v - 16)*(v - 2)
Find v, given that 3*v**5 + 27*v**4/2 + 21*v**3/2 - 21*v**2 - 18*v + 12 = 0.
-2, 1/2, 1
Suppose -5*v**2/3 + 10*v/3 + 25 = 0. Calculate v.
-3, 5
Suppose -115*v**2 - 105*v + 10 = 0. What is v?
-1, 2/23
Factor 3*b**2/8 - 30*b + 600.
3*(b - 40)**2/8
Suppose -8*k**4 - 60*k**3 - 60*k**2 + 80*k + 48 = 0. What is k?
-6, -2, -1/2, 1
Factor -2*u**5/5 - 7*u**4/5 - 4*u**3/5 + 4*u**2/5.
-u**2*(u + 2)**2*(2*u - 1)/5
Solve -4*g**3 + 68*g**2 + 232*g + 160 = 0 for g.
-2, -1, 20
Find a, given that 9*a**4 - 191*a**3 - 156*a**2 + 44*a = 0.
-1, 0, 2/9, 22
Factor o**3/2 - 3*o**2 - 2*o + 12.
(o - 6)*(o - 2)*(o + 2)/2
Factor c**3/2 - 93*c**2/2 - 1249*c/2 - 1155/2.
(c - 105)*(c + 1)*(c + 11)/2
What is d in 3*d**2 - 123*d + 234 = 0?
2, 39
Solve w**3/6 - 2*w**2/3 + w/2 = 0.
0, 1, 3
Factor -y**4/2 - 19*y**3 - 429*y**2/2 - 646*y - 578.
-(y + 2)**2*(y + 17)**2/2
Factor -5*j**3 + 1440*j**2 - 103680*j.
-5*j*(j - 144)**2
Suppose -z**2/9 + 32*z/9 = 0. What is z?
0, 32
Determine v so that 14*v**2 - 298*v + 84 = 0.
2/7, 21
Factor 2*s**5 - 38*s**4 + 230*s**3 - 482*s**2 + 416*s - 128.
2*(s - 8)**2*(s - 1)**3
Factor -2*a**2/3 + 2120*a - 1685400.
-2*(a - 1590)**2/3
Factor -4*v**5 + 52*v**4 + 120*v**3 + 8*v**2 - 116*v - 60.
-4*(v - 15)*(v - 1)*(v + 1)**3
Find b, given that -3*b**3/5 + 33*b**2/5 - 96*b/5 + 84/5 = 0.
2, 7
Factor 2*f**2/21 + 4*f/7 + 16/21.
2*(f + 2)*(f + 4)/21
Factor h**3/7 - 5*h**2/7 + 6*h/7.
h*(h - 3)*(h - 2)/7
Factor -3*a**4 + 96*a**3 - 693*a**2.
-3*a**2*(a - 21)*(a - 11)
Solve 5*k**3 - 115*k**2 - 120*k = 0 for k.
-1, 0, 24
Factor 5*v**3 - 60*v**2 - 135*v - 70.
5*(v - 14)*(v + 1)**2
Find p, given that -12*p**5/5 - 171*p**4 - 1041*p**3/5 + 129*p**2 + 1053*p/5 + 42 = 0.
-70, -1, -1/4, 1
Factor -g**3/5 + 108*g**2/5 - 3888*g/5 + 46656/5.
-(g - 36)**3/5
Determine w so that -39*w**3 - 708*w**2 - 3267*w - 486 = 0.
-9, -2/13
Suppose 2*c**3/13 - 2*c**2 + 68*c/13 + 96/13 = 0. What is c?
-1, 6, 8
Let -m**2 + 2*m + 8 = 0. What is m?
-2, 4
Let -5*v**5 + 140*v**4 - 1340*v**3 + 4590*v**2 - 1215*v - 7290 = 0. Calculate v.
-1, 2, 9
Find x such that 5*x**2/3 - 680*x/3 = 0.
0, 136
Find z such that z**5 - 9*z**4 - 3*z**3 + 25*z**2 + 18*z = 0.
-1, 0, 2, 9
Factor 48*u**3 + 12984*u**2 - 6501*u + 813.
3*(u + 271)*(4*u - 1)**2
Suppose 2*x**2/15 + 20*x + 298/15 = 0. What is x?
-149, -1
Determine z so that 5*z**5 - 1195*z**4 + 2365*z**3 + 1195*z**2 - 2370*z = 0.
-1, 0, 1, 2, 237
Determine m, given that -2*m**2/17 - 54*m/17 - 144/17 = 0.
-24, -3
Solve d**3 + 298*d**2 + 295*d - 594 = 0.
-297, -2, 1
Factor -5*y**4 + 40*y**2 - 80.
-5*(y - 2)**2*(y + 2)**2
Factor 3*r**2/2 + 29*r/4 + 5.
(r + 4)*(6*r + 5)/4
Factor -w**2/4 + 3*w/2 - 9/4.
-(w - 3)**2/4
Determine a, given that -30*a**4 - 965*a**3 - 6790*a**2 + 16235*a + 2890 = 0.
-17, -1/6, 2
Factor -2*v**2/9 + 20*v/9 - 16/3.
-2*(v - 6)*(v - 4)/9
Determine x so that -2*x**2/7 + 2014*x/7 - 2012/7 = 