/5
Suppose o**3/8 + o**2/8 - o/8 - 1/8 = 0. Calculate o.
-1, 1
Factor x**4 - 21*x**3 + 68*x**2.
x**2*(x - 17)*(x - 4)
Suppose 25*m**4 + 320*m**3 - 2690*m**2 + 4800*m - 855 = 0. Calculate m.
-19, 1/5, 3
Let 2*c**5/3 - 2*c**4/3 - 18*c**3 - 46*c**2/3 + 52*c/3 + 16 = 0. Calculate c.
-4, -1, 1, 6
Find n, given that -4*n**4/5 + 96*n**3/5 + 164*n**2 - 3072*n/5 + 432 = 0.
-9, 1, 2, 30
Factor j**4 + 2*j**3 - 3*j**2 - 8*j - 4.
(j - 2)*(j + 1)**2*(j + 2)
Factor 50*t**2/9 - 202*t/9 + 8/9.
2*(t - 4)*(25*t - 1)/9
Determine u so that 3*u**2 - 21*u = 0.
0, 7
Factor s**5/3 - 59*s**4/3 + 115*s**3/3 - 19*s**2.
s**2*(s - 57)*(s - 1)**2/3
Solve -2*y**2/11 + 70*y/11 - 248/11 = 0.
4, 31
Factor -a**5/3 - 5*a**4/3 - 4*a**3/3 + 16*a**2/3 + 32*a/3 + 16/3.
-(a - 2)*(a + 1)*(a + 2)**3/3
Suppose 2*v**4/15 + 26*v**3/15 + 36*v**2/5 + 184*v/15 + 112/15 = 0. What is v?
-7, -2
Factor -3*p**3/4 + 69*p**2 - 1632*p + 11520.
-3*(p - 60)*(p - 16)**2/4
What is a in 24*a**5/7 - 1686*a**4/7 - 1284*a**3/7 + 426*a**2/7 = 0?
-1, 0, 1/4, 71
Factor -5*s**2 - 10*s + 120.
-5*(s - 4)*(s + 6)
Find p such that -5*p**2 + 25*p + 120 = 0.
-3, 8
Find z such that -2*z**5 + 46*z**4/7 + 16*z**3/7 - 176*z**2/7 + 160*z/7 - 32/7 = 0.
-2, 2/7, 1, 2
Suppose -8*b**3/15 - 14*b**2/15 + 28*b/15 - 2/5 = 0. Calculate b.
-3, 1/4, 1
Factor -2*k**2/9 + 16*k/3 - 238/9.
-2*(k - 17)*(k - 7)/9
Factor -d**5/3 - 2*d**4 - 2*d**3/3 + 20*d**2/3 + 9*d + 10/3.
-(d - 2)*(d + 1)**3*(d + 5)/3
Determine s, given that s**2/5 + 104*s/5 + 2704/5 = 0.
-52
Suppose -75*r**3/4 + 30*r**2 + 273*r - 588 = 0. Calculate r.
-4, 14/5
Factor -3*v**3 - 9*v**2 + 12*v.
-3*v*(v - 1)*(v + 4)
Solve 6*y**5 + 1232*y**4/5 + 1288*y**3/5 + 64*y**2 = 0 for y.
-40, -2/3, -2/5, 0
Solve -9*j**3 - 142*j**2 + 185*j - 34 = 0 for j.
-17, 2/9, 1
Suppose -15*x**3/2 - 981*x**2/2 + 1314*x - 816 = 0. Calculate x.
-68, 1, 8/5
Factor -2*l**3 - 44*l**2 - 240*l.
-2*l*(l + 10)*(l + 12)
Find x such that 15*x**5 - 145*x**4 + 310*x**3 - 210*x**2 - 5*x + 35 = 0.
-1/3, 1, 7
Determine m, given that -3*m**5 + 51*m**4 - 231*m**3 + 381*m**2 - 198*m = 0.
0, 1, 2, 3, 11
Factor -4*v**2 - 12440*v - 9672100.
-4*(v + 1555)**2
Factor -5*v**5 - 14*v**4 - 12*v**3 - 2*v**2 + v.
-v*(v + 1)**3*(5*v - 1)
Factor c**3/9 - 370*c**2/9 + 736*c/9.
c*(c - 368)*(c - 2)/9
Factor -4*h**3 - 76*h**2 + 1096*h + 2464.
-4*(h - 11)*(h + 2)*(h + 28)
What is h in 2*h**2 - 4172*h + 2175698 = 0?
1043
Find s such that 6*s**2/5 + 2*s/5 - 12 = 0.
-10/3, 3
Solve 40*y**3/9 + 74*y**2/9 + 40*y/9 + 2/3 = 0.
-1, -3/5, -1/4
Factor -4*g**3 - 24*g**2 - 44*g - 24.
-4*(g + 1)*(g + 2)*(g + 3)
Find h such that -h**4 - 7*h**3 + 120*h**2 - 368*h + 256 = 0.
-16, 1, 4
Determine w, given that -2*w**2 - 10*w = 0.
-5, 0
Solve z**2/7 + 72*z + 9072 = 0 for z.
-252
What is x in -80*x**3 - 364840*x**2 - 182405*x - 22800 = 0?
-4560, -1/4
Factor -2*g**3/9 - 1774*g**2/9.
-2*g**2*(g + 887)/9
Let 2*h**5/11 - 2512*h**4/11 + 781202*h**3/11 + 4747660*h**2/11 + 9535672*h/11 + 6370576/11 = 0. What is h?
-2, 631
Factor -2*d**2 + 1352*d - 228488.
-2*(d - 338)**2
Find m, given that 4*m**3 - 48*m**2 + 140*m - 96 = 0.
1, 3, 8
Let 5*d**3/3 - 320*d**2/3 + 1595*d + 3630 = 0. Calculate d.
-2, 33
Solve v**5 + 5*v**4 - 6*v**3 - 38*v**2 - 43*v - 15 = 0.
-5, -1, 3
What is k in 4*k**2 - 5040*k + 5036 = 0?
1, 1259
Find m, given that 3*m**3/2 - 36*m**2 - 453*m/2 + 261 = 0.
-6, 1, 29
Factor 2*y**2/9 - 86*y/9 + 560/9.
2*(y - 35)*(y - 8)/9
Let 5*y**2 + 15*y - 50 = 0. Calculate y.
-5, 2
What is w in 9*w**5 + 201*w**4 + 969*w**3 - 3609*w**2 - 19866*w + 14520 = 0?
-11, -5, 2/3, 4
Suppose -w**3/6 - 7*w**2/2 + 97*w/6 - 25/2 = 0. Calculate w.
-25, 1, 3
Solve -b**4/4 - 9*b**3/4 + b**2/4 + 9*b/4 = 0 for b.
-9, -1, 0, 1
What is d in -2*d**3/3 - 14*d**2/3 - 16*d/3 + 32/3 = 0?
-4, 1
Suppose 3*l**5/2 + 3*l**4 - 21*l**3/2 - 12*l**2 + 18*l = 0. What is l?
-3, -2, 0, 1, 2
Find h such that -4*h**5 - 20*h**4 + 224*h**3 + 1392*h**2 + 1152*h = 0.
-6, -1, 0, 8
Factor -2*n**4 + 102*n**3 - 466*n**2 + 258*n + 828.
-2*(n - 46)*(n - 3)**2*(n + 1)
Solve -2*r**5/17 - 224*r**4/17 + 228*r**3/17 + 224*r**2/17 - 226*r/17 = 0.
-113, -1, 0, 1
What is t in -3*t**2/2 + 165*t/2 - 234 = 0?
3, 52
Factor 4*x**2 - 800*x + 40000.
4*(x - 100)**2
Suppose w**3/8 - 11*w**2/4 + 65*w/8 + 169/2 = 0. Calculate w.
-4, 13
Factor 3*t**2 + 1272*t - 1275.
3*(t - 1)*(t + 425)
Find n, given that -n**3 + 2436*n**2 - 1485957*n + 2962178 = 0.
2, 1217
Suppose -2*r**2/11 + 250*r/11 - 732/11 = 0. What is r?
3, 122
What is i in 15*i**2 - 72*i + 84 = 0?
2, 14/5
Factor -2*y**2 + 158*y - 156.
-2*(y - 78)*(y - 1)
Factor -98*h**3/3 - 4466*h**2/3 - 17680*h - 16224.
-2*(h + 1)*(7*h + 156)**2/3
Factor -i**5 - 1122*i**4 - 2240*i**3 + 2*i**2 + 2241*i + 1120.
-(i - 1)*(i + 1)**3*(i + 1120)
Suppose -n**4 - 113*n**3/5 - 234*n**2/5 + 5012*n/5 - 392 = 0. Calculate n.
-14, 2/5, 5
Let -2*t**2/5 + 86*t/5 - 504/5 = 0. What is t?
7, 36
Factor -12*i**4 - 39*i**3 + 111*i**2 + 30*i.
-3*i*(i - 2)*(i + 5)*(4*i + 1)
Factor 14*a**4 + 38*a**3 - 138*a**2 + 106*a - 20.
2*(a - 1)**2*(a + 5)*(7*a - 2)
Factor -z**3 - 246*z**2 - 20172*z - 551368.
-(z + 82)**3
Find j such that j**3/4 + 21*j**2/4 - 31*j + 39 = 0.
-26, 2, 3
Find j such that -2*j**2/3 - 1276*j/3 - 203522/3 = 0.
-319
Factor 2*v**5/5 + 4*v**4/5 - 6*v**3/5 - 8*v**2/5 + 8*v/5.
2*v*(v - 1)**2*(v + 2)**2/5
Suppose 3*u**2 - 11316*u + 10670988 = 0. Calculate u.
1886
Suppose 2304*w**5 + 2688*w**4 + 208*w**3 - 192*w**2 - 12*w + 4 = 0. What is w?
-1, -1/4, 1/6
Let 9*t**3/5 + 146*t**2/5 + 284*t/5 + 56/5 = 0. Calculate t.
-14, -2, -2/9
Determine d so that d**3/3 - 6*d**2 = 0.
0, 18
Factor 3*q**3/5 - 39*q**2/5 - 12*q + 252/5.
3*(q - 14)*(q - 2)*(q + 3)/5
Suppose 2*h**2/3 - 86*h/3 + 148 = 0. Calculate h.
6, 37
Determine n, given that -2*n**2/3 + 44*n = 0.
0, 66
Factor 3*u**2/4 - 21*u/4 - 6.
3*(u - 8)*(u + 1)/4
Solve -q**2/4 - 71*q/2 - 5041/4 = 0 for q.
-71
Let -2*l**3 + 162*l**2 - 3198*l - 3362 = 0. Calculate l.
-1, 41
Factor -4*t**3 - 56*t**2 - 176*t - 160.
-4*(t + 2)**2*(t + 10)
Factor -4*c**2 - 32*c.
-4*c*(c + 8)
Factor -5*z**2 - 2120*z - 224720.
-5*(z + 212)**2
Find j, given that 2*j**5/7 + 4*j**4/7 - 4*j**3/7 - 8*j**2/7 + 2*j/7 + 4/7 = 0.
-2, -1, 1
Factor -r**3/4 - 11*r**2/4 - 15*r/2.
-r*(r + 5)*(r + 6)/4
Let -6*w**5/5 - 2*w**4 + 2*w**3/5 + 2*w**2 + 4*w/5 = 0. What is w?
-1, -2/3, 0, 1
Let 3*v**5 + 12*v**4 - 30*v**2 - 3*v + 18 = 0. What is v?
-3, -2, -1, 1
Factor 15*d**4 + 27*d**3 - 78*d**2 - 72*d.
3*d*(d - 2)*(d + 3)*(5*d + 4)
Determine m, given that m**3/3 + 49*m**2/3 + 392*m/3 - 5488/3 = 0.
-28, 7
Factor v**3 - 36*v**2 - 75*v - 38.
(v - 38)*(v + 1)**2
Find m such that m**5/3 + 5*m**4/3 - m**3/3 - 17*m**2/3 + 4*m = 0.
-4, -3, 0, 1
Find i, given that 10*i**5 + 14*i**4 + 4*i**3 = 0.
-1, -2/5, 0
Determine k, given that -k**5 - 351*k**4 + 1418*k**3 - 714*k**2 - 1417*k + 1065 = 0.
-355, -1, 1, 3
Suppose -28*o**5 + 7048*o**4 - 590688*o**3 + 16426368*o**2 + 4741632*o = 0. Calculate o.
-2/7, 0, 84
Factor -24*d**2/11 - 222*d/11 + 180/11.
-6*(d + 10)*(4*d - 3)/11
Suppose 4*x**2 + 172*x - 5376 = 0. What is x?
-64, 21
Factor 2*w**3 + 22*w**2 - 40*w - 600.
2*(w - 5)*(w + 6)*(w + 10)
Factor 2*j**2/11 - 556*j/11 - 1686/11.
2*(j - 281)*(j + 3)/11
Let -5*y**2/6 - 17*y - 248/3 = 0. What is y?
-62/5, -8
Solve -2*m**5/11 - 16*m**4/11 - 24*m**3/11 + 4*m**2 + 58*m/11 - 60/11 = 0.
-5, -3, -2, 1
Find t such that -29*t**5/5 + 321*t**4/5 + 13*t**3 - 181*t**2 - 576*t/5 + 44/5 = 0.
-1, 2/29, 2, 11
Let -20*c**4 + 188*c**3 - 52*c**2 - 188*c + 72 = 0. What is c?
-1, 2/5, 1, 9
Find p, given that -5*p**5 + 10*p**4 + 5*p**3 - 10*p**2 = 0.
-1, 0, 1, 2
Factor 4*h**3 - 1000*h**2 + 61488*h + 127008.
4*(h - 126)**2*(h + 2)
Factor -2*z**3/5 - 8*z**2/5 + 8*z/5 + 32/5.
-2*(z - 2)*(z + 2)*(z + 4)/5
Suppose -z**3/3 + 768*z**2 = 0. What is z?
0, 2304
Factor -g**2/9 + 6*g - 81.
-(g - 27)**2/9
Let 2*o**4 + 198*o**3 - 202*o**2 - 198*o + 200 = 0. Calculate o.
-100, -1, 1
Solve -3*o**5/2 + 6*o**4 + 21*o**3/2 - 51*o**2 + 36*o = 0.
-3, 0, 1, 2, 4
Find s such that 4*s**2/13 + 18*s/13 = 0.
-9/2, 0
Factor -2*x**2/9 + 2240*x/3 - 627200.
-2*(x - 1680)**2/9
Determine k, given that 12*k**3/5 - 192*k**2/5 + 195*k - 1521/5 = 0.
3, 13/2
Factor -2*z**2/13 + 70*z/13 - 348/13.
-2*(z - 29)*(z - 6)/13
Let -4*z**4 + 40*z**3 - 132*z**2 + 144*z = 0. Calculate z.
0, 3, 4
Sol