3/2 - 3843*u**2/8 - 31*u/2 + 961/2 = 0. Calculate u.
-1, 1, 62
Factor m**3/3 + 17*m**2/3 + 44*m/3 + 28/3.
(m + 1)*(m + 2)*(m + 14)/3
Determine m so that 2*m**2/11 + 96*m/11 + 1152/11 = 0.
-24
Suppose -64*o**5/7 + 1248*o**4/7 - 1732*o**3/7 + 48*o**2/7 + 428*o/7 + 72/7 = 0. Calculate o.
-1/4, 1, 18
Solve f**2/3 - 298*f/3 = 0.
0, 298
Factor -5*f**2 - 25*f + 70.
-5*(f - 2)*(f + 7)
Solve -4*d**2 + 3224*d - 649636 = 0.
403
Find y such that 3*y**5/4 + 33*y**4/2 + 231*y**3/4 + 69*y**2 + 27*y = 0.
-18, -2, -1, 0
Suppose 3*q**2/5 - 138*q/5 + 387/5 = 0. Calculate q.
3, 43
Find q, given that -5*q**3 - 565*q**2 - 16240*q - 15680 = 0.
-56, -1
Suppose 4*b**4/5 - 68*b**2/5 - 144*b/5 - 16 = 0. What is b?
-2, -1, 5
Factor 3*n**2 + 78*n + 315.
3*(n + 5)*(n + 21)
Find d such that 2*d**5/5 + 4*d**4 - 46*d**3/5 + 24*d**2/5 = 0.
-12, 0, 1
Solve 4*q**3 + 12*q**2 - 4*q - 12 = 0 for q.
-3, -1, 1
Let p**4/2 + 37*p**3/2 + 323*p**2/2 - 361*p/2 = 0. What is p?
-19, 0, 1
Factor 2*a**3/9 - 998*a**2/3 + 498002*a/3 - 248502998/9.
2*(a - 499)**3/9
Suppose -5*r**4 + 105*r**3 - 565*r**2 + 1095*r - 630 = 0. Calculate r.
1, 3, 14
Find l such that 96*l**4 - 364*l**3 + 400*l**2 - 92*l - 40 = 0.
-5/24, 1, 2
Suppose -8*d**4 - 142*d**3 - 230*d**2 - 96*d = 0. What is d?
-16, -1, -3/4, 0
Solve -3*f**5 - 12*f**4 + 9*f**3 + 102*f**2 + 156*f + 72 = 0.
-2, -1, 3
Find k such that 3*k**4/4 - 6*k**3 + 63*k**2/4 - 33*k/2 + 6 = 0.
1, 2, 4
Factor 4*v**5 - 12*v**3 - 8*v**2.
4*v**2*(v - 2)*(v + 1)**2
Let -2*p**5 + 6*p**4 + 18*p**3 - 46*p**2 + 24*p = 0. What is p?
-3, 0, 1, 4
Find h such that h**3 - h**2 - 8*h + 12 = 0.
-3, 2
Factor 3*x**3/5 - 54*x**2/5 - 12*x/5 + 216/5.
3*(x - 18)*(x - 2)*(x + 2)/5
Factor 2*f**3/7 + 104*f**2 + 1450*f/7 + 724/7.
2*(f + 1)**2*(f + 362)/7
Let -4*j**4 - 916*j**3/3 + 2500*j**2/3 - 2204*j/3 + 632/3 = 0. Calculate j.
-79, 2/3, 1
What is t in 10*t**4/3 + 78*t**3 - 3748*t**2/3 + 3688*t + 1680 = 0?
-35, -2/5, 6
Factor -5*p**2 - 7280*p - 2649920.
-5*(p + 728)**2
Let -p**3/4 + 3*p**2 + 45*p/4 = 0. Calculate p.
-3, 0, 15
Factor -2*s**2 - 62*s - 60.
-2*(s + 1)*(s + 30)
Determine t so that -3*t**4 + 3*t**3 + 45*t**2 + 69*t + 30 = 0.
-2, -1, 5
Determine g so that -g**3/2 + 3*g**2/8 + g/8 = 0.
-1/4, 0, 1
Solve 2*k**3/7 - 62*k**2/7 - 272*k/7 - 40 = 0.
-2, 35
Factor 5*m**5 + 4160*m**4 + 852710*m**3 - 5229120*m**2 + 7900245*m.
5*m*(m - 3)**2*(m + 419)**2
Solve -2*f**4/13 + 38*f**3 - 492*f**2/13 = 0 for f.
0, 1, 246
Suppose 8*z**5/7 + 58*z**4/7 + 54*z**3/7 - 46*z**2/7 - 62*z/7 - 12/7 = 0. What is z?
-6, -1, -1/4, 1
Determine q, given that 7*q**5/10 - 31*q**4/10 + q**3/2 + 31*q**2/10 - 6*q/5 = 0.
-1, 0, 3/7, 1, 4
Factor m**3/3 - 563*m**2/3.
m**2*(m - 563)/3
Let 2*g**3/15 - 28*g**2/15 + 32*g/15 + 64/5 = 0. What is g?
-2, 4, 12
Factor 5*t**2 - 465*t + 460.
5*(t - 92)*(t - 1)
Let -4*y**5 + 76*y**3 + 136*y**2 - 48*y - 160 = 0. Calculate y.
-2, 1, 5
Suppose 2*y**3 + 46*y**2 + 192*y + 216 = 0. What is y?
-18, -3, -2
Solve -2*g**5/7 + 4*g**4/7 + 4*g**3/7 - 8*g**2/7 - 2*g/7 + 4/7 = 0.
-1, 1, 2
Factor 3*s**5/5 + 24*s**4/5 - 57*s**3/5 + 6*s**2.
3*s**2*(s - 1)**2*(s + 10)/5
What is r in 3*r**5/2 + 15*r**4/2 + 3*r**3 - 21*r**2 - 9*r/2 + 27/2 = 0?
-3, -1, 1
Factor 2*q**3 - 46*q**2 - 208*q - 216.
2*(q - 27)*(q + 2)**2
Suppose -12*x**2/5 - 368*x/5 + 124/5 = 0. Calculate x.
-31, 1/3
Solve -2*o**2/11 - 20*o/11 + 78/11 = 0.
-13, 3
Factor 3*h**4 - 285*h**3 + 1896*h**2 - 4260*h + 3168.
3*(h - 88)*(h - 3)*(h - 2)**2
Factor 3*s**3 + 216*s**2 - 903*s + 684.
3*(s - 3)*(s - 1)*(s + 76)
Factor -i**5/6 - 119*i**4/6 + 121*i**3/2 - 365*i**2/6 + 61*i/3.
-i*(i - 1)**3*(i + 122)/6
What is h in 3*h**2 + 600*h + 30000 = 0?
-100
Solve -a**5/2 - 15*a**4/2 + a**3/2 + 15*a**2/2 = 0 for a.
-15, -1, 0, 1
Let 3*l**2 - 36*l + 105 = 0. Calculate l.
5, 7
Factor -k**2/2 + 2031*k/2 + 1016.
-(k - 2032)*(k + 1)/2
Let 2*l**5/3 + 38*l**4 + 1870*l**3/3 + 6646*l**2/3 - 624*l - 6760/3 = 0. Calculate l.
-26, -5, -1, 1
Find v, given that -v**4 + 21*v**3 + 69*v**2 + 71*v + 24 = 0.
-1, 24
Factor 2*d**3/5 - 64*d**2/5 + 512*d/5.
2*d*(d - 16)**2/5
Suppose 65*r**3 - 160*r**2 + 125*r - 30 = 0. Calculate r.
6/13, 1
Determine x, given that 2*x**2/3 - 342*x - 2060/3 = 0.
-2, 515
Determine c, given that -c**3/4 - 449*c**2/4 + 901*c/4 - 451/4 = 0.
-451, 1
Factor 5*w**3 + 85*w**2 + 150*w.
5*w*(w + 2)*(w + 15)
Factor 2*b**4 - 26*b**3 - 38*b**2 + 146*b - 84.
2*(b - 14)*(b - 1)**2*(b + 3)
Factor x**3/8 + 141*x**2/4 + 6627*x/2 + 103823.
(x + 94)**3/8
Factor 3*h**2 - 51*h + 126.
3*(h - 14)*(h - 3)
Determine o, given that 4*o**2 + 1608*o + 161604 = 0.
-201
Find r, given that -2*r**4 + 52*r**3 + 128*r**2 - 448*r = 0.
-4, 0, 2, 28
Suppose 2*l**5 - 117*l**4/2 - 95*l**3/2 + 147*l**2/2 + 91*l/2 - 15 = 0. Calculate l.
-1, 1/4, 1, 30
Solve -6*n**5 - 39*n**4 + 12*n**3 + 267*n**2 - 114*n - 120 = 0 for n.
-5, -4, -1/2, 1, 2
Factor -4*i**3/3 + 176*i**2/3 + 1948*i/3 - 2120/3.
-4*(i - 53)*(i - 1)*(i + 10)/3
Determine a, given that a**5 - 35*a**4/3 + 94*a**3/3 + 20*a**2 - 24*a = 0.
-1, 0, 2/3, 6
Factor o**2/3 - 20*o + 57.
(o - 57)*(o - 3)/3
Solve -18*v**2 + 3426*v/7 - 3300/7 = 0 for v.
1, 550/21
Determine p, given that p**3 + 14*p**2 + 25*p + 12 = 0.
-12, -1
Factor 2*i**4 - 296*i**3 + 9032*i**2 + 142080*i + 460800.
2*(i - 80)**2*(i + 6)**2
Let 4*y**3/7 + 60*y**2/7 - 72*y/7 - 128/7 = 0. Calculate y.
-16, -1, 2
Factor -u**3/10 - 297*u**2/10 - 29403*u/10 - 970299/10.
-(u + 99)**3/10
Find m, given that 2*m**4/15 - 28*m**3/5 + 1082*m**2/15 - 1088*m/5 - 2312/3 = 0.
-2, 10, 17
Suppose t**5 + 700*t**4/9 + 401*t**3/3 - 1004*t**2/9 - 404*t/3 + 304/9 = 0. Calculate t.
-76, -2, -1, 2/9, 1
Find t such that -4*t**3 + 348*t**2 - 1016*t + 672 = 0.
1, 2, 84
Factor -h**2/5 + 126*h/5 - 3969/5.
-(h - 63)**2/5
Find a such that 2*a**5/3 - 34*a**4/3 + 20*a**3 + 4*a**2/3 - 62*a/3 + 10 = 0.
-1, 1, 15
Factor 2*n**3/3 - 856*n**2/3 - 1718*n/3 - 860/3.
2*(n - 430)*(n + 1)**2/3
Factor g**3 - 15*g**2.
g**2*(g - 15)
Factor -5*f**4 - 65*f**3 - 285*f**2 - 475*f - 250.
-5*(f + 1)*(f + 2)*(f + 5)**2
Determine j so that 1520*j**2 + 575*j + 30 = 0.
-6/19, -1/16
Determine c so that 2*c**5/9 + 14*c**4/3 + 310*c**3/9 + 118*c**2 + 192*c + 120 = 0.
-10, -3, -2
Factor 3*m**4/8 + 33*m**3/4 - 303*m**2/8 + 117*m/4.
3*m*(m - 3)*(m - 1)*(m + 26)/8
Let -128*t**4/9 + 1312*t**3/3 + 5086*t**2/9 + 362*t/3 + 64/9 = 0. Calculate t.
-1, -1/8, 32
Factor 3*j**4 - 108*j**3 + 1281*j**2 - 5292*j + 4116.
3*(j - 14)**2*(j - 7)*(j - 1)
Factor -p**3/5 - 59*p**2/5 - 56*p/5 + 116/5.
-(p - 1)*(p + 2)*(p + 58)/5
Factor -b**2 + 187*b + 378.
-(b - 189)*(b + 2)
Find c such that 5*c**4 + 15*c**3 - 15*c**2 - 35*c + 30 = 0.
-3, -2, 1
Factor 290*u**2/11 - 8704*u/11 + 120/11.
2*(u - 30)*(145*u - 2)/11
Factor -12*c**4 - 20*c**3 + 16*c**2 + 16*c.
-4*c*(c - 1)*(c + 2)*(3*c + 2)
Determine f so that -3*f**3 + 93*f**2 - 561*f - 2601 = 0.
-3, 17
Determine n so that n**3/2 - 139*n**2/2 - 2*n + 278 = 0.
-2, 2, 139
Factor -3*z**2 - 54*z - 96.
-3*(z + 2)*(z + 16)
Factor -v**3 + 692*v**2 - 2069*v + 1378.
-(v - 689)*(v - 2)*(v - 1)
Factor u**2 - 28*u + 196.
(u - 14)**2
Find n, given that -3*n**2 - 72*n - 432 = 0.
-12
Let -15*w**5/8 - 21*w**4/8 + 147*w**3/4 - 111*w**2/4 - 279*w/8 + 243/8 = 0. What is w?
-27/5, -1, 1, 3
Factor b**3/7 - 38*b**2/7 + 69*b/7 + 108/7.
(b - 36)*(b - 3)*(b + 1)/7
Factor 5*y**2 - 80*y - 285.
5*(y - 19)*(y + 3)
Let 169*n**4/5 + 156*n**3/5 - 133*n**2/5 - 156*n/5 - 36/5 = 0. What is n?
-1, -6/13, 1
Find h such that 4*h**2/5 + 1096*h + 5476/5 = 0.
-1369, -1
Factor -4*a**3 + 60*a**2 + 132*a + 68.
-4*(a - 17)*(a + 1)**2
Solve -146*z**2/5 + 2*z/5 = 0.
0, 1/73
Find n such that -4*n**2 + 31256*n - 61058596 = 0.
3907
Factor -q**2 - 39*q - 38.
-(q + 1)*(q + 38)
Factor 4*h**2 - 188*h - 600.
4*(h - 50)*(h + 3)
Factor -2*f**4 + 54*f**3.
-2*f**3*(f - 27)
Determine r, given that r**3 - 94*r**2 + 81*r + 1116 = 0.
-3, 4, 93
Solve -6*v**5 - 57*v**4 - 168*v**3 - 141*v**2 + 24*v + 48 = 0 for v.
-4, -1, 1/2
Suppose 5*p**5 + 55*p**4 - 505*p**3 + 205*p**2 + 2120*p + 1360 = 0. Calculate p.
-17, -1, 4
Factor -67*p**3 + 199*p**2 - 128*p - 4.
-(p - 2)*(p - 1)*(67*p + 2)
Factor -4*l**3 - 2464*l**2 - 2460*l.
-4*l*(l + 1)*(l + 615)
Let -2*s**4 + 104*s**3 - 1242*s**2 - 2916*s = 0. What is s?
-2, 0, 27
Find h such that h**5/2 - 81*h**4/4 + 229*h**3 - 979*h**2/2 + 741*