95
Let -12*q**5/7 - 208*q**4/7 - 144*q**3 - 768*q**2/7 + 1024*q/7 = 0. Calculate q.
-8, -2, 0, 2/3
Factor p**2 - 38*p + 72.
(p - 36)*(p - 2)
Suppose 5*m**4 - 60*m**3 + 245*m**2 - 390*m + 200 = 0. Calculate m.
1, 2, 4, 5
Factor v**3/5 + 187*v**2/5 + 552*v/5.
v*(v + 3)*(v + 184)/5
Suppose 2*t**2/11 + 12*t/11 = 0. Calculate t.
-6, 0
Determine h so that -36*h**4 + 40*h**3 - 4*h**2 = 0.
0, 1/9, 1
Determine x, given that 3*x**5/5 - 9*x**4/5 - 147*x**3/5 + 129*x**2/5 + 1944*x/5 + 336 = 0.
-4, -1, 5, 7
Factor -q**4/3 - 5*q**3/3 + 7*q**2/3 + 5*q/3 - 2.
-(q - 1)**2*(q + 1)*(q + 6)/3
Factor -2*i**3/7 - 8*i**2/7 + 2*i/7 + 8/7.
-2*(i - 1)*(i + 1)*(i + 4)/7
Solve 3*i**5 + 84*i**4 + 369*i**3 + 564*i**2 + 276*i = 0.
-23, -2, -1, 0
Let -36*w**3 + 556*w**2 + 952*w/3 + 128/3 = 0. What is w?
-1/3, -2/9, 16
Factor -5*k**2 - 30*k + 1760.
-5*(k - 16)*(k + 22)
Factor 32*p**3 - 44*p**2 - 180*p + 72.
4*(p - 3)*(p + 2)*(8*p - 3)
Solve -3*g**5 - 42*g**4 - 165*g**3 - 18*g**2 + 756*g + 648 = 0 for g.
-6, -3, -1, 2
Determine t, given that -2*t**4/3 - 6*t**3 + 12*t**2 + 136*t/3 - 80 = 0.
-10, -3, 2
Let 4*x**5/5 - 189*x**4/5 - 797*x**3 + 1008*x**2/5 = 0. What is x?
-16, 0, 1/4, 63
What is s in -36*s**5/5 + 60*s**4 + 592*s**3 - 256*s**2 - 512*s + 1344/5 = 0?
-6, -1, 2/3, 14
Factor -2*a**4 - 40*a**3 - 256*a**2 - 512*a.
-2*a*(a + 4)*(a + 8)**2
Suppose v**3/3 - 11*v**2 + 57*v - 81 = 0. Calculate v.
3, 27
Suppose -12*s**5 + 40*s**4 + 8*s**3 - 64*s**2 + 4*s + 24 = 0. What is s?
-1, -2/3, 1, 3
What is h in -2*h**2/13 + 172*h/13 - 1106/13 = 0?
7, 79
Determine h, given that h**2/2 - 453*h/2 - 1145 = 0.
-5, 458
Factor 12*j**5 - 15*j**4 + 3*j**3.
3*j**3*(j - 1)*(4*j - 1)
Determine k, given that -k**5/2 + 8*k**3 - 8*k**2 - 24*k + 32 = 0.
-4, -2, 2
Factor -2*h**3/9 + 560*h**2/9 - 39754*h/9 + 77284/9.
-2*(h - 139)**2*(h - 2)/9
What is l in l**5 + 214*l**4 + 17278*l**3 + 629216*l**2 + 9081497*l + 15780962 = 0?
-53, -2
Let -2*s**5/5 + 14*s**4/5 + 226*s**3/5 + 42*s**2 = 0. What is s?
-7, -1, 0, 15
Factor -3*l**2/8 - 387*l/8 - 48.
-3*(l + 1)*(l + 128)/8
Factor 3*p**4/2 - 1071*p**3 - 4293*p**2/2 - 1074*p.
3*p*(p - 716)*(p + 1)**2/2
Factor -6*h**3 - 22*h**2 + 12*h + 16.
-2*(h - 1)*(h + 4)*(3*h + 2)
Factor -4*i**3/5 + 52*i**2/5 - 104*i/5 - 448/5.
-4*(i - 8)*(i - 7)*(i + 2)/5
Suppose z**3/3 - 140*z**2/3 + 4757*z/3 + 10082/3 = 0. What is z?
-2, 71
Solve g**3/3 + 14*g**2/3 + 65*g/3 + 100/3 = 0 for g.
-5, -4
Factor -d**3/2 + 23*d**2/2 - 25*d - 100.
-(d - 20)*(d - 5)*(d + 2)/2
Factor 3*o**3/2 + 27*o**2 - 117*o/2 + 30.
3*(o - 1)**2*(o + 20)/2
Solve -c**5/6 + c**4/3 + 49*c**3/6 - c**2/3 - 8*c = 0 for c.
-6, -1, 0, 1, 8
Find i such that 10*i**3 - 75*i**2 + 80*i + 60 = 0.
-1/2, 2, 6
Factor 64*k**4 - 580*k**3 + 1764*k**2 - 1836*k + 108.
4*(k - 3)**3*(16*k - 1)
Factor 4*r**5/3 - 8*r**4 + 32*r**3/3.
4*r**3*(r - 4)*(r - 2)/3
Factor -2*j**2 + 2624*j - 860672.
-2*(j - 656)**2
Factor -2*r**3/19 - 1528*r**2/19 - 15520*r - 60800.
-2*(r + 4)*(r + 380)**2/19
Factor -2*o**2/5 - 38*o/5 - 68/5.
-2*(o + 2)*(o + 17)/5
Determine m, given that -m**4/3 + 67*m**3/3 - 22*m**2 = 0.
0, 1, 66
Let y**5 + 191*y**4/7 + 474*y**3/7 - 16904*y**2/7 - 69376*y/7 - 18432/7 = 0. What is y?
-16, -4, -2/7, 9
Suppose -3*w**5/5 - 19*w**4/5 - 8*w**3 - 24*w**2/5 + 16*w/5 + 16/5 = 0. What is w?
-2, -1, 2/3
Factor -191*w**2/4 - 571*w/6 + 2/3.
-(w + 2)*(573*w - 4)/12
Factor v**4/3 + 11*v**3/3 - 14*v**2 + 4*v/3 + 56/3.
(v - 2)**2*(v + 1)*(v + 14)/3
Determine d, given that -d**2/3 + 3*d = 0.
0, 9
Find p, given that 2*p**2 + 20*p + 48 = 0.
-6, -4
Factor 5*r**3 - 1020*r**2 + 69360*r - 1572160.
5*(r - 68)**3
Determine p so that 3*p**5/5 + 477*p**4/5 + 20553*p**3/5 + 126327*p**2/5 + 192888*p/5 + 17328 = 0.
-76, -5, -1
Factor 5*u**3 - 5970*u**2 + 1782045*u.
5*u*(u - 597)**2
Factor 8*v**4/5 + 226*v**3/5 + 1624*v**2/5 + 392*v/5.
2*v*(v + 14)**2*(4*v + 1)/5
Suppose d**2/2 + 1377*d/2 + 688 = 0. What is d?
-1376, -1
Factor 2*l**3/21 + 80*l**2/21 - 82*l/21.
2*l*(l - 1)*(l + 41)/21
Solve -2*w**2 - 192*w = 0.
-96, 0
Factor 3*n**5 + 3*n**4 - 36*n**3 + 12*n**2 + 48*n.
3*n*(n - 2)**2*(n + 1)*(n + 4)
Factor -2*f**2 - 5604*f - 3925602.
-2*(f + 1401)**2
Find m, given that -4*m**3 - 600*m**2 - 7124*m = 0.
-137, -13, 0
What is l in -5*l**2/6 - 85*l/6 - 35 = 0?
-14, -3
Factor -9*y**4/8 - 51*y**3/8 - 21*y**2/4.
-3*y**2*(y + 1)*(3*y + 14)/8
Factor -z**2/4 - 13*z/2 - 12.
-(z + 2)*(z + 24)/4
Factor 15*q**2 - 535*q + 3320.
5*(q - 8)*(3*q - 83)
Let -h**2 + 17*h - 30 = 0. What is h?
2, 15
Factor 5*d**2 - 1510*d + 3000.
5*(d - 300)*(d - 2)
Factor -c**2/4 - 50*c - 2500.
-(c + 100)**2/4
Let -2*z**5 - 26*z**4 - 126*z**3 - 278*z**2 - 272*z - 96 = 0. What is z?
-4, -3, -1
Factor -2*y**3/3 - 4*y**2/3 - 2*y/3.
-2*y*(y + 1)**2/3
Solve 2*b**5/3 + 88*b**4/3 + 1436*b**3/3 + 3432*b**2 + 9126*b = 0 for b.
-13, -9, 0
Find t such that t**5/6 - 11*t**4/6 - 7*t**3 = 0.
-3, 0, 14
Factor 5*x**3 - 20*x**2 - 15*x + 90.
5*(x - 3)**2*(x + 2)
Find h, given that -h**2 + h + 6 = 0.
-2, 3
Find r such that 4*r**2/7 - 316*r/7 - 320/7 = 0.
-1, 80
Factor d**4 + 26*d**3 + 109*d**2 - 780*d + 900.
(d - 2)**2*(d + 15)**2
Determine p so that 3*p**2/2 - 39*p + 507/2 = 0.
13
Factor 4*l**5 - 13464*l**4 + 15106608*l**3 - 5649871392*l**2.
4*l**2*(l - 1122)**3
Find r, given that -4*r**2 + 1008*r - 63504 = 0.
126
Factor 5*f**3 + 2120*f**2 + 2115*f.
5*f*(f + 1)*(f + 423)
Determine l so that 2*l**2/5 + 824*l + 424360 = 0.
-1030
What is a in 450*a**5 + 60*a**4 - 448*a**3 - 60*a**2 - 2*a = 0?
-1, -1/15, 0, 1
Suppose 2*i**4/11 - 10*i**3/11 - 16*i**2 + 640*i/11 + 3072/11 = 0. What is i?
-8, -3, 8
Solve -4*q**5 - 236*q**4 - 4776*q**3 - 35416*q**2 - 41876*q + 82308 = 0.
-19, -3, 1
Factor i**5/3 - 16*i**4/3 + 28*i**3/3.
i**3*(i - 14)*(i - 2)/3
Factor -h**3/4 - 119*h**2/4 + 122*h - 123.
-(h - 2)**2*(h + 123)/4
Let -9*x**5/5 + 6*x**4/5 + 9*x**3 - 6*x**2 - 36*x/5 + 24/5 = 0. Calculate x.
-2, -1, 2/3, 1, 2
Factor 4*f**3 - 24*f**2 + 20*f.
4*f*(f - 5)*(f - 1)
Factor 20*d**4 - 212*d**3 + 292*d**2 - 28*d - 72.
4*(d - 9)*(d - 1)**2*(5*d + 2)
Factor q**3/5 - 9*q**2/5 - 5*q + 33/5.
(q - 11)*(q - 1)*(q + 3)/5
Factor 3*z**5 - 48*z**4 + 192*z**3.
3*z**3*(z - 8)**2
Let 5*v**4/4 - 45*v**2/4 + 5*v + 15 = 0. Calculate v.
-3, -1, 2
Factor 6*k**2/23 + 110*k/23 - 76/23.
2*(k + 19)*(3*k - 2)/23
Determine t, given that 60*t**3 - 52*t**2 - 8*t = 0.
-2/15, 0, 1
Factor 3*x**4 - 18*x**3 - 33*x**2 + 180*x + 300.
3*(x - 5)**2*(x + 2)**2
Find r such that -r**4/2 - r**3/2 + 4*r**2 + 6*r = 0.
-2, 0, 3
Factor -p**4/2 + 21*p**3 - 117*p**2/2.
-p**2*(p - 39)*(p - 3)/2
Factor -a**3/2 + 1174*a**2 + a/2 - 1174.
-(a - 2348)*(a - 1)*(a + 1)/2
Suppose -8*g**4/5 + 4*g**3/5 + 6*g**2/5 - g + 1/5 = 0. Calculate g.
-1, 1/2
Factor 4*t**3 + 580*t**2 - 16*t - 2320.
4*(t - 2)*(t + 2)*(t + 145)
Let 2*g**2 - 22*g + 20 = 0. What is g?
1, 10
What is m in 2*m**2/15 - 76*m/3 - 386/5 = 0?
-3, 193
Factor -49*d**4 - 6755*d**3 - 236147*d**2 - 229441*d.
-d*(d + 1)*(7*d + 479)**2
Solve -2*v**4/13 - 8*v**3/13 + 36*v**2/13 - 40*v/13 + 14/13 = 0.
-7, 1
Factor -7*x**2/4 + 67*x - 19.
-(x - 38)*(7*x - 2)/4
Factor -41*s**3 + 40*s**2 + 83*s + 2.
-(s - 2)*(s + 1)*(41*s + 1)
What is t in 2*t**5 - 12*t**4 + 10*t**3 + 32*t**2 - 24*t - 32 = 0?
-1, 2, 4
Factor 4*o**2 - 36*o + 80.
4*(o - 5)*(o - 4)
What is v in -v**5/2 + 3*v**4/2 + 9*v**3 = 0?
-3, 0, 6
Let 6*z**4/7 + 27*z**3/7 - 51*z**2/7 + 18*z/7 = 0. Calculate z.
-6, 0, 1/2, 1
Determine y, given that -2*y**3/5 + 226*y**2/5 - 6496*y/5 + 6272/5 = 0.
1, 56
Let -4*q**2/9 + 16024*q/9 - 16048036/9 = 0. Calculate q.
2003
Determine x, given that -4*x**2 - 8*x + 12 = 0.
-3, 1
Factor t**3 + 637*t**2 + 101123*t - 101761.
(t - 1)*(t + 319)**2
Solve 2*x**3/3 - 8*x**2 + 82*x/3 - 28 = 0.
2, 3, 7
Find w, given that -2*w**3/9 - 124*w**2/9 - 296*w/3 - 144 = 0.
-54, -6, -2
Find n, given that 2*n**4/19 + 154*n**3/19 + 584*n**2/19 = 0.
-73, -4, 0
Factor 5*u**3 + 85*u**2 + 315*u - 405.
5*(u - 1)*(u + 9)**2
Factor -4*g**2/7 - 71*g/7 + 18/7.
-(g + 18)*(4*g - 1)/7
Determine l so that 2*l**3/11 + 744*l**2/11 + 92256*l/11 + 3813248/11 = 0.
-124
Solve 8*i**3 + 276*i**2 - 1724*i + 1440 = 0.
-40, 1, 9/2
Factor -2*x**3/3 - 16*x**2/3 + 6*x.
-2*x*(x - 1)*(x + 9)/3
Let q**2 + 35*q - 36 = 0. Calculate q.
-36, 1
Factor -4*n**3 + 22*n**2/3 - 8*n/3 - 2/3.
-2*(n - 1)**2*(6*n + 1)/3
What i