58*h**2 - 140*h + 32 = 0.
-8, -2, 1/2, 1
Factor 33*x**3/2 - 65*x**2 - 173*x/2 - 5.
(x - 5)*(x + 1)*(33*x + 2)/2
Suppose 9*p**3 + 330*p**2 - 111*p = 0. Calculate p.
-37, 0, 1/3
Find p, given that -3*p**2 - 168*p - 1920 = 0.
-40, -16
Factor 2*h**2 + 240*h.
2*h*(h + 120)
Determine g so that -28*g**4 + 8*g**3 + 48*g**2 - 8*g - 20 = 0.
-1, -5/7, 1
Suppose 2*k**2/7 - 212*k/7 - 654/7 = 0. What is k?
-3, 109
What is a in a**5/2 - 41*a**4 + 1316*a**3 - 20776*a**2 + 161896*a - 499408 = 0?
14, 26
Factor 5*n**4/9 + 2*n**3/9 - 20*n**2/9 - 8*n/9.
n*(n - 2)*(n + 2)*(5*n + 2)/9
Factor -3*k**2 - 99*k + 324.
-3*(k - 3)*(k + 36)
Solve 3*p**4 + 192*p**3 - 1668*p**2 + 4272*p - 3456 = 0.
-72, 2, 4
Let -4*k**4 - 44*k**3 - 40*k**2 = 0. Calculate k.
-10, -1, 0
Factor -3*f**4 + 30*f**3 - 87*f**2 + 96*f - 36.
-3*(f - 6)*(f - 2)*(f - 1)**2
Determine m so that -6*m**5/11 - 2*m**4 - 12*m**3/11 + 24*m**2/11 + 16*m/11 = 0.
-2, -2/3, 0, 1
Determine i, given that -4*i**4 + 60*i**3 - 108*i**2 + 52*i = 0.
0, 1, 13
Factor -x**5/4 - 3*x**4/2 - 2*x**3.
-x**3*(x + 2)*(x + 4)/4
What is k in 16*k**5 - 20*k**4 - 76*k**3 - 28*k**2 + 12*k = 0?
-1, 0, 1/4, 3
Determine b so that -b**4/5 + 8*b**3/5 + 108*b**2/5 + 304*b/5 + 256/5 = 0.
-4, -2, 16
Factor 3*z**5 - 141*z**4 + 270*z**3.
3*z**3*(z - 45)*(z - 2)
What is z in 2*z**5/9 + 14*z**4/9 - 6*z**3 + 58*z**2/9 - 20*z/9 = 0?
-10, 0, 1
Suppose t**4/3 + 32*t**3/3 + 352*t**2/3 + 512*t + 768 = 0. What is t?
-12, -4
Factor -3*i**2/4 + 6*i + 15.
-3*(i - 10)*(i + 2)/4
Let i**5/4 + 517*i**4/4 - i**3/2 - 517*i**2/2 + i/4 + 517/4 = 0. What is i?
-517, -1, 1
Factor 3*y**4 + 39*y**3 + 105*y**2 - 147*y.
3*y*(y - 1)*(y + 7)**2
Suppose -3*o**4/4 + 87*o**3/4 + 759*o**2/4 - 26979*o/4 = 0. Calculate o.
-17, 0, 23
Factor 3*h**4/2 - 3*h**3.
3*h**3*(h - 2)/2
Determine t, given that -t**4 + 18*t**3 - 33*t**2 + 16*t = 0.
0, 1, 16
Suppose 3*z**4/4 - 168*z**3 + 9066*z**2 + 38304*z + 38988 = 0. What is z?
-2, 114
Factor -20*r**3 + 272*r**2 + 112*r.
-4*r*(r - 14)*(5*r + 2)
Factor r**2/2 + 11*r + 121/2.
(r + 11)**2/2
Factor 2*k**3/3 - 16*k**2/3 - 50*k - 84.
2*(k - 14)*(k + 3)**2/3
Factor -8*x**3 + 52*x**2 + 128*x + 68.
-4*(x + 1)**2*(2*x - 17)
Factor -882*p**2/5 - 2184*p/5 - 1352/5.
-2*(21*p + 26)**2/5
Factor -7*k**2/3 + 332*k/3 + 64.
-(k - 48)*(7*k + 4)/3
Find c such that c**4 + 433*c**3/3 - 293*c**2/3 - 433*c/3 + 290/3 = 0.
-145, -1, 2/3, 1
Factor 4*c**3 + 100*c**2 + 700*c + 1500.
4*(c + 5)**2*(c + 15)
Factor -i**3 - 2*i**2 + 224*i - 1152.
-(i - 8)**2*(i + 18)
Determine u, given that -5*u**4 - 175*u**3 - 1895*u**2 - 6225*u - 4500 = 0.
-15, -4, -1
Factor 4*c**3/5 - 8*c**2 + 20*c.
4*c*(c - 5)**2/5
Factor 484*w**3 + 792*w**2 + 324*w.
4*w*(11*w + 9)**2
What is p in -2*p**3/9 + 164*p**2/9 + 170*p/3 = 0?
-3, 0, 85
Factor -4*m**3 + 444*m**2 - 2096*m - 2544.
-4*(m - 106)*(m - 6)*(m + 1)
Let -2*c**4/3 + 26*c**3/3 + 30*c**2 + 94*c/3 + 32/3 = 0. What is c?
-1, 16
Factor -g**3 - 6*g**2 + 15*g + 100.
-(g - 4)*(g + 5)**2
Factor -2*c**3/3 - 110*c**2/3 - 522*c - 486.
-2*(c + 1)*(c + 27)**2/3
Suppose g**5/3 - 2*g**4 - 19*g**3/3 + 164*g**2/3 - 48*g - 320/3 = 0. What is g?
-5, -1, 4
Factor -l**3/2 - 29*l**2/2 + 61*l/2 - 31/2.
-(l - 1)**2*(l + 31)/2
Solve -u**5 + 112*u**4 + 231*u**3 - 338*u**2 - 460*u + 456 = 0.
-2, 1, 114
Solve 4*c**2 + 128*c + 448 = 0 for c.
-28, -4
Suppose -8*q**5/5 + 18*q**4 + 178*q**3/5 + 54*q**2/5 - 26*q/5 = 0. Calculate q.
-1, 0, 1/4, 13
Solve 2*t**4/11 - 8*t**3/11 - 6*t**2/11 + 20*t/11 + 16/11 = 0 for t.
-1, 2, 4
Factor 2*c**2/19 + 454*c/19 - 916/19.
2*(c - 2)*(c + 229)/19
Find d such that 16*d**4/5 + 588*d**3/5 - 1444*d**2/5 - 1548*d/5 + 468/5 = 0.
-39, -1, 1/4, 3
Suppose 7*x**2/10 - 19*x/10 + 1 = 0. Calculate x.
5/7, 2
Suppose -14*o**3 + 1420*o**2 - 2006*o + 600 = 0. What is o?
3/7, 1, 100
Let g**2/5 - 3*g + 56/5 = 0. Calculate g.
7, 8
Suppose -w**5/5 + 26*w**4/5 - 72*w**3/5 + 14*w**2 - 23*w/5 = 0. What is w?
0, 1, 23
Factor 15*r**2 - 354*r - 144.
3*(r - 24)*(5*r + 2)
Suppose -3*k**3 + 282*k**2 - 3507*k + 11760 = 0. What is k?
7, 80
Factor 2*c**2 + 52*c - 3024.
2*(c - 28)*(c + 54)
Let -3*t**2 + 1356*t - 153228 = 0. Calculate t.
226
Determine f, given that -3*f**4 + 66*f**3 + 147*f**2 - 66*f - 144 = 0.
-2, -1, 1, 24
Find j such that 5*j**4 - 15*j**3 - 5*j**2 + 15*j = 0.
-1, 0, 1, 3
Solve -39*z**3 + 1245*z**2 - 9888*z - 768 = 0.
-1/13, 16
Determine x, given that x**2/6 + 1805*x/6 = 0.
-1805, 0
Suppose 2*o**3 - 22*o**2 + 38*o - 18 = 0. Calculate o.
1, 9
Factor 2*p**2 - 232*p + 6728.
2*(p - 58)**2
Factor -w**4 + 43*w**3 - 123*w**2 + 121*w - 40.
-(w - 40)*(w - 1)**3
Factor 5*a**4 + 20*a**3 - 225*a**2.
5*a**2*(a - 5)*(a + 9)
Factor -g**5 + 16*g**4 - 13*g**3 - 30*g**2.
-g**2*(g - 15)*(g - 2)*(g + 1)
Factor k**3/8 + 359*k**2/8 + 3913*k - 41405/2.
(k - 5)*(k + 182)**2/8
What is n in 2*n**5 + 368*n**4 + 364*n**3 - 368*n**2 - 366*n = 0?
-183, -1, 0, 1
Suppose 2*u**2/13 - 20*u/13 + 50/13 = 0. What is u?
5
What is u in -u**3/7 + 64*u**2/7 - 1300*u/7 + 8112/7 = 0?
12, 26
Factor -3*g**4 - 231*g**3 - 1494*g**2 - 1632*g + 3360.
-3*(g - 1)*(g + 4)**2*(g + 70)
What is h in -5*h**4 + 1040*h**3 - 81120*h**2 + 2812160*h - 36558080 = 0?
52
Let -r**3 - 143*r**2 - 560*r - 556 = 0. What is r?
-139, -2
Determine u, given that -2*u**3/3 + 206*u**2/3 - 1520*u/3 = 0.
0, 8, 95
Let 4*t**4/3 - 3*t**3 - 58*t**2/3 + 53*t - 12 = 0. What is t?
-4, 1/4, 3
Find d, given that 3*d**3/4 - 123*d**2 - 495*d/4 = 0.
-1, 0, 165
Find i such that 5*i**5 + 9850*i**4 + 4851125*i**3 = 0.
-985, 0
Factor -3*j**2/4 + 1011*j - 340707.
-3*(j - 674)**2/4
Factor 3*r**3/8 - 327*r**2/8 + 9765*r/8 - 88641/8.
3*(r - 67)*(r - 21)**2/8
Factor 2*n**4/3 + 22*n**3/3 - 2*n**2/3 - 22*n/3.
2*n*(n - 1)*(n + 1)*(n + 11)/3
Suppose z**2 + 16*z + 15 = 0. What is z?
-15, -1
Factor -2*g**4/3 - 20*g**3/3 - 50*g**2/3.
-2*g**2*(g + 5)**2/3
Let -50*x**3 - 685*x**2 + 210*x = 0. Calculate x.
-14, 0, 3/10
Factor 2*d**3 - 44*d**2 - 318*d - 504.
2*(d - 28)*(d + 3)**2
Factor x**2/7 - 181*x/7 + 1548/7.
(x - 172)*(x - 9)/7
Let -2*a**5/5 - 2*a**4/5 + 222*a**3/5 - 1054*a**2/5 + 292*a - 624/5 = 0. What is a?
-13, 1, 4, 6
Factor 2*w**2/5 + 6*w + 28/5.
2*(w + 1)*(w + 14)/5
Solve -3*g**4 + 624*g**3 + 7776*g**2 + 31488*g + 42240 = 0.
-4, 220
What is s in 4*s**2 - 2596*s - 2600 = 0?
-1, 650
Let -5*l**3 + 85*l**2 + 5*l - 85 = 0. What is l?
-1, 1, 17
Solve 58*c**5 + 236*c**4 + 190*c**3 - 220*c**2 - 248*c - 16 = 0.
-2, -1, -2/29, 1
Factor -2*t**4 - 28*t**3 - 90*t**2.
-2*t**2*(t + 5)*(t + 9)
Solve 2*t**5 + 8*t**4 + 2*t**3 - 28*t**2 - 40*t - 16 = 0 for t.
-2, -1, 2
Determine s, given that 2*s**5 = 0.
0
Factor 9*h**2 + 20*h - 76.
(h - 2)*(9*h + 38)
Suppose 3*m**5 + 24*m**4 + 21*m**3 = 0. What is m?
-7, -1, 0
Factor -3*r**4 + 9*r**3 + 3*r**2 - 9*r.
-3*r*(r - 3)*(r - 1)*(r + 1)
Factor z**2/4 - 357*z/4 + 89.
(z - 356)*(z - 1)/4
Solve 242*k**4/7 + 1364*k**3/7 + 2802*k**2/7 + 2480*k/7 + 800/7 = 0.
-20/11, -1
Factor -h**4/8 + 75*h**3/8 - 419*h**2/8 + 345*h/8.
-h*(h - 69)*(h - 5)*(h - 1)/8
Solve l**3/2 - 81*l**2 + 1091*l/2 - 465 = 0 for l.
1, 6, 155
Find u such that -3*u**2/2 - 333*u/2 + 168 = 0.
-112, 1
Factor 3*h**3/7 - 6*h**2/7 - 3*h - 12/7.
3*(h - 4)*(h + 1)**2/7
Factor 2*k**2 - 34*k + 32.
2*(k - 16)*(k - 1)
Find q such that -q**5 + 26*q**4 - 71*q**3 + 46*q**2 = 0.
0, 1, 2, 23
Factor -b**4/6 + 16*b**3/3 - 205*b**2/6 + 53*b - 24.
-(b - 24)*(b - 6)*(b - 1)**2/6
What is o in 3*o**2/4 - 87*o + 2523 = 0?
58
Suppose -2*r**3/13 + 66*r**2/13 - 726*r/13 + 2662/13 = 0. What is r?
11
What is p in 2*p**3/9 + 22*p**2/9 + 38*p/9 + 2 = 0?
-9, -1
Factor 3*l**3/2 + 81*l**2/2 + 174*l + 198.
3*(l + 2)*(l + 3)*(l + 22)/2
Factor -5*t**4 + 170*t**3 - 1400*t**2 - 1530*t + 13005.
-5*(t - 17)**2*(t - 3)*(t + 3)
Factor k**2 + 32*k - 33.
(k - 1)*(k + 33)
Factor -o**3/5 - 11*o**2 + 504*o/5.
-o*(o - 8)*(o + 63)/5
Solve t**4/5 - 92*t**3/5 + 2116*t**2/5 = 0 for t.
0, 46
Determine v, given that -60*v**2 + 1735*v + 145 = 0.
-1/12, 29
Factor -8*r**2/9 - 2*r - 4/9.
-2*(r + 2)*(4*r + 1)/9
Factor -z**2/12 + 19*z/4 - 105/2.
-(z - 42)*(z - 15)/12
Factor 5*s**2 + 15*s.
5*s*(s + 3)
Suppose -2*x**5 - 16*x**4 - 26*x**3 - 12*x**2 = 0. Calculate x.
-6, -1, 0
Factor -21*q**2/2 - 351*q/2 + 51.
-3*(q + 17)*(7*q - 2)/2
Factor 2*b**4 + 8*b**3 - 56*b**2 + 64*b.
2*b*(b - 2)**2*(b + 8)
Factor 4*c**3/5 - 564*c**2/5