480*d**3 - 4640*d**2 + 1360*d + 640 = 0. Calculate d.
-8, -2/3, -2/7, 2/3
Let 3*m**2/7 + 30*m - 432/7 = 0. What is m?
-72, 2
Factor x**4 - 95*x**3 - 97*x**2 + 95*x + 96.
(x - 96)*(x - 1)*(x + 1)**2
Factor s**4/2 - 3*s**3 + 6*s**2 - 5*s + 3/2.
(s - 3)*(s - 1)**3/2
Solve -15*q**3 + 66*q**2 + 51*q - 30 = 0.
-1, 2/5, 5
Let -f**3/2 - 667*f**2/2 - 1328*f - 1326 = 0. Calculate f.
-663, -2
Find x such that -x**3/8 - 11*x**2/8 - 31*x/8 - 21/8 = 0.
-7, -3, -1
Let -3*i**5/7 + 33*i**4/7 - 81*i**3/7 + 75*i**2/7 - 24*i/7 = 0. Calculate i.
0, 1, 8
Factor 5*q**3 + 25*q**2 - 5*q - 25.
5*(q - 1)*(q + 1)*(q + 5)
Let 160*c**5 - 664*c**4 + 940*c**3 - 580*c**2 + 160*c - 16 = 0. What is c?
1/4, 2/5, 1/2, 1, 2
Solve 165336*d**5 - 123338*d**4/7 - 35516*d**3/7 - 1432*d**2/7 - 16*d/7 = 0.
-2/21, -2/83, 0, 1/4
Find d such that -2*d**3/23 + 384*d**2/23 - 18432*d/23 = 0.
0, 96
Determine i so that 4*i**3 + 732*i**2 + 38844*i + 468452 = 0.
-83, -17
Factor o**3/4 + o**2 - 45*o/4.
o*(o - 5)*(o + 9)/4
What is y in -y**2/8 - 667*y/2 - 444889/2 = 0?
-1334
Let 2*m**4/3 + 579*m**3/2 + 3665*m**2/3 + 1434*m + 860/3 = 0. Calculate m.
-430, -2, -1/4
Factor -2*s**3/11 + 42*s**2/11 + 4*s.
-2*s*(s - 22)*(s + 1)/11
Let -4*t**4 + 1048*t**3 - 91872*t**2 + 2724840*t - 2634012 = 0. Calculate t.
1, 87
Factor 4*h**2 - 48*h - 532.
4*(h - 19)*(h + 7)
Factor -9*k**4/2 - 6*k**3 - 2*k**2.
-k**2*(3*k + 2)**2/2
Factor -2*d**3/7 + 8*d**2/7 + 8*d/7 - 32/7.
-2*(d - 4)*(d - 2)*(d + 2)/7
Determine g so that -5*g**3 + 100*g**2 - 95*g = 0.
0, 1, 19
What is b in 2*b**4/7 + 178*b**3/7 + 4778*b**2/7 + 35022*b/7 + 30420/7 = 0?
-39, -10, -1
Suppose -3*g**4/5 - 96*g**3/5 - 153*g**2 + 96*g/5 + 768/5 = 0. Calculate g.
-16, -1, 1
Suppose l**2/2 - 23*l/4 + 45/4 = 0. Calculate l.
5/2, 9
Factor i**3/6 + 7*i**2/6 - 46*i/3 + 14.
(i - 6)*(i - 1)*(i + 14)/6
Let 10*h**4 + 105*h**3 + 330*h**2 + 380*h + 120 = 0. What is h?
-6, -2, -1/2
Factor 2*s**2/13 + 106*s/13.
2*s*(s + 53)/13
Factor -2*n**4/7 - 20*n**3/7 + 366*n**2/7 + 2080*n/7 - 21632/7.
-2*(n - 8)**2*(n + 13)**2/7
Solve 3*d**5 - 9*d**4 - 21*d**3 + 45*d**2 + 54*d = 0 for d.
-2, -1, 0, 3
Factor v**2/2 + 6264*v + 19618848.
(v + 6264)**2/2
Factor c**4 - 35*c**3 + 286*c**2 + 396*c - 648.
(c - 18)**2*(c - 1)*(c + 2)
Suppose p**3 - 3*p**2 - 18*p + 40 = 0. What is p?
-4, 2, 5
What is b in b**2/2 + 117*b/2 - 567 = 0?
-126, 9
Find g such that -g**3/2 - 13*g**2/4 + 2*g + 7/4 = 0.
-7, -1/2, 1
Suppose 3*b**3/4 - 321*b**2/4 + 159*b/2 = 0. What is b?
0, 1, 106
Factor -2*y**3/19 - 56*y**2/19 - 330*y/19 + 900/19.
-2*(y - 2)*(y + 15)**2/19
Factor 3*m**2 - 1911*m - 1914.
3*(m - 638)*(m + 1)
Find m such that -2*m**5/9 + 16*m**4/9 - 8*m**3/3 - 4*m**2/9 + 26*m/9 - 4/3 = 0.
-1, 1, 6
Factor 2*y**4 - 4*y**3 - 2*y**2 + 4*y.
2*y*(y - 2)*(y - 1)*(y + 1)
Determine a, given that a**4/10 + a**3/10 - 33*a**2/10 + 59*a/10 - 14/5 = 0.
-7, 1, 4
What is c in c**2/4 + 38*c + 1551/4 = 0?
-141, -11
Suppose -a**3/4 + 71*a**2/2 - 1064*a - 14440 = 0. What is a?
-10, 76
Find i, given that 9*i**3 - 150*i**2 - 213*i - 54 = 0.
-1, -1/3, 18
Suppose 13*w**3/2 - 53*w**2 - 413*w/2 + 33 = 0. What is w?
-3, 2/13, 11
Find a, given that 5*a**5 - 1645*a**4 + 134450*a**3 + 144390*a**2 - 685575*a + 408375 = 0.
-3, 1, 165
Factor -10*g**3 + 98*g**2 + 20*g.
-2*g*(g - 10)*(5*g + 1)
Determine a so that a**2 - 66*a = 0.
0, 66
Determine j, given that -2*j**5 - 86*j**4 - 782*j**3 + 3166*j**2 - 368*j - 4232 = 0.
-23, -1, 2
Factor 4*y**4/3 - 4*y**3 - 16*y**2/3 + 16*y.
4*y*(y - 3)*(y - 2)*(y + 2)/3
Let m**2/3 + 30*m = 0. Calculate m.
-90, 0
Find t such that -4*t**5 - 52*t**4 + 132*t**3 + 148*t**2 - 464*t + 240 = 0.
-15, -2, 1, 2
Factor 3*i**2/2 + 6*i + 6.
3*(i + 2)**2/2
Factor 3*k**2/5 - 1044*k/5.
3*k*(k - 348)/5
Find q such that -2*q**5/3 - 14*q**4/9 + 38*q**3/9 + 62*q**2/9 - 56*q/9 - 8/3 = 0.
-3, -2, -1/3, 1, 2
Factor -i**2/3 - 8*i/3 + 35.
-(i - 7)*(i + 15)/3
Find m such that 3*m**3 + 6*m**2 - 9*m = 0.
-3, 0, 1
Suppose 3*o**2/2 + 87*o + 2523/2 = 0. Calculate o.
-29
Factor -35*n**2 - 1485*n - 630.
-5*(n + 42)*(7*n + 3)
Suppose 18*r**5 - 69*r**4/5 - 207*r**3/5 - 36*r**2/5 + 12*r/5 = 0. Calculate r.
-1, -2/5, 0, 1/6, 2
Solve -3*s**4/7 + 9*s**3/7 - 9*s**2/7 + 3*s/7 = 0 for s.
0, 1
Factor -3*m**3 - 990*m**2 + 3996*m - 4008.
-3*(m - 2)**2*(m + 334)
Factor -5*q**2 - 120*q - 220.
-5*(q + 2)*(q + 22)
Factor 5*g**4 + 105*g**3 + 100*g**2.
5*g**2*(g + 1)*(g + 20)
Let -20*s**5 + 225*s**4 - 275*s**3 - 1125*s**2 - 425*s + 180 = 0. Calculate s.
-1, 1/4, 4, 9
Suppose -3*s**4 - 3*s**3 + 42*s**2 + 72*s = 0. Calculate s.
-3, -2, 0, 4
Solve -5*u**4 + 1240*u**3 - 115320*u**2 + 4766560*u - 73881680 = 0.
62
Find h, given that 3*h**5/7 + 18*h**4/7 - 6*h**3/7 - 36*h**2/7 + 3*h/7 + 18/7 = 0.
-6, -1, 1
Determine o, given that -o**2 - 4*o = 0.
-4, 0
Find r such that r**2/5 - 37*r/5 - 94 = 0.
-10, 47
Factor 2*g**2 - 822*g - 824.
2*(g - 412)*(g + 1)
Determine w, given that -7*w**4/4 - 16*w**3 + 61*w**2/4 + 5*w/2 = 0.
-10, -1/7, 0, 1
Find m such that 4*m**4 - 924*m**3 - 3744*m**2 - 3760*m = 0.
-2, 0, 235
Factor -2*b**3/3 - 2*b**2 + 2*b/3 + 2.
-2*(b - 1)*(b + 1)*(b + 3)/3
Factor -2*b**2 - 54*b - 144.
-2*(b + 3)*(b + 24)
Factor -4*t**3 + 6456*t**2 + 4*t - 6456.
-4*(t - 1614)*(t - 1)*(t + 1)
Factor 5*q**3/6 - 105*q**2/2 - 1420*q/3.
5*q*(q - 71)*(q + 8)/6
Suppose 3*s**4 - 9*s**3 - 15*s**2 + 9*s + 12 = 0. What is s?
-1, 1, 4
Find b, given that 16*b**3 - 244*b**2 - 196*b + 64 = 0.
-1, 1/4, 16
Factor n**5/3 - 5*n**4/3 - 41*n**3/3 - 83*n**2/3 - 68*n/3 - 20/3.
(n - 10)*(n + 1)**3*(n + 2)/3
Factor -2*m**4/13 + 10*m**3/13 - 12*m**2/13 - 8*m/13 + 16/13.
-2*(m - 2)**3*(m + 1)/13
Solve 375*b**4/2 - 9*b**3/4 - 1125*b**2/2 + 1527*b/4 - 9/2 = 0.
-2, 3/250, 1
Suppose 3*t**4/5 + 18*t**3/5 + 24*t**2/5 = 0. What is t?
-4, -2, 0
Factor 117*r**5/7 + 474*r**4/7 + 726*r**3/7 + 72*r**2 + 141*r/7 + 6/7.
3*(r + 1)**4*(39*r + 2)/7
Let -4*x**5 - 4*x**4 + 24*x**3 + 16*x**2 - 32*x = 0. What is x?
-2, 0, 1, 2
What is y in -y**3/10 + 13*y**2/10 + 12*y - 792/5 = 0?
-11, 12
Suppose -135005697*i**3 - 1579014*i**2 - 6156*i - 8 = 0. What is i?
-2/513
Factor 5*d**2/2 - 215*d/2 + 105.
5*(d - 42)*(d - 1)/2
Determine k, given that 2*k**3/9 + 76*k**2/3 + 146*k + 216 = 0.
-108, -3
Factor 3*w**2/4 + 111*w/4 - 270.
3*(w - 8)*(w + 45)/4
Factor 196*h**3 + 29680*h**2 - 17008*h + 2432.
4*(h + 152)*(7*h - 2)**2
Factor -3*l**2 + 21*l + 180.
-3*(l - 12)*(l + 5)
Let z**3/3 - 4*z**2/3 - 4*z = 0. What is z?
-2, 0, 6
Factor -3*y**2 + 852*y.
-3*y*(y - 284)
Find p, given that 5*p**4 - 40*p**3 = 0.
0, 8
Suppose -5*y**2 + 25*y - 30 = 0. Calculate y.
2, 3
Find f, given that -2*f**2/11 - 78*f/11 - 720/11 = 0.
-24, -15
Solve -3*d**2/7 - 216*d/7 - 3888/7 = 0 for d.
-36
Suppose 3*l**2 + 1251*l + 1248 = 0. Calculate l.
-416, -1
Determine u so that 2*u**2/13 - 18*u/13 + 28/13 = 0.
2, 7
Factor -2*u**2/7 - 1348*u/7 + 2704/7.
-2*(u - 2)*(u + 676)/7
Let 6*w**2 - 87*w + 42 = 0. What is w?
1/2, 14
Find i such that -4*i**2 - 12*i = 0.
-3, 0
Determine z, given that 11*z**5/2 - 31*z**4/2 + 5*z**3/2 + 35*z**2/2 - 8*z - 2 = 0.
-1, -2/11, 1, 2
Factor 2*i**4 - 82*i**3 - 350*i**2 - 446*i - 180.
2*(i - 45)*(i + 1)**2*(i + 2)
Let -3*i**3 + 168*i**2 - 2511*i + 4374 = 0. What is i?
2, 27
Let -p**2 - 160*p - 6400 = 0. What is p?
-80
Solve -4*g**5/3 + 440*g**4/3 - 428*g**3 = 0.
0, 3, 107
Factor c**2/3 + 53*c/3 + 52/3.
(c + 1)*(c + 52)/3
Factor 20*d**4 + 88*d**3 + 112*d**2 + 32*d.
4*d*(d + 2)**2*(5*d + 2)
Suppose 2*r**4/13 + 1476*r**3/13 + 272314*r**2/13 - 5904*r/13 - 1089288/13 = 0. What is r?
-369, -2, 2
Let p**5/5 + 14*p**4/5 + 13*p**3/5 = 0. Calculate p.
-13, -1, 0
Solve 2*d**4/19 - 2*d**3/19 - 24*d**2/19 + 56*d/19 - 32/19 = 0 for d.
-4, 1, 2
Let -4*s**2/7 - 208*s/7 + 1392/7 = 0. Calculate s.
-58, 6
Suppose -2*n**3/11 + 144*n**2/11 - 2730*n/11 + 4900/11 = 0. Calculate n.
2, 35
Find s such that -s**4 + 146*s**3 - 289*s**2 + 144*s = 0.
0, 1, 144
Suppose -5*m**5/4 - 35*m**4/2 - 345*m**3/4 - 170*m**2 - 100*m = 0. What is m?
-5, -4, -1, 0
Factor l**2/4 + 1385*l/2 + 2769/4.
(l + 1)*(l + 2769)/4
Suppose -7*g**5/2 - 39*g**4 + 283*g**3/2 + 7*g**2 - 198*g - 28 = 0. What is g?
-14, -1, -1/7, 2
Find o such that -12*o**3 - 238*o**2 + 40*o = 0.
-20, 0, 1/6
Suppose 5*k**5 - 40*k**4 + 25*k**3 + 250*k**2 = 0. Calculate k.
-2, 0, 5
Solve 2*m**4 + 28*m**3 - 32*m**2 