 8)**2/5
Factor -i**3/6 - 3*i**2/2 - 4*i/3.
-i*(i + 1)*(i + 8)/6
Factor 2*u**2/11 - 144*u/11 + 280/11.
2*(u - 70)*(u - 2)/11
Suppose n**4 - 5*n**3 - 48*n**2 - 28*n + 80 = 0. Calculate n.
-4, -2, 1, 10
Factor -3*j**2 - 16236*j - 21967308.
-3*(j + 2706)**2
Factor 10*v**3 + 284*v**2 + 2072*v + 784.
2*(v + 14)**2*(5*v + 2)
Suppose -x**2/2 - 5173*x - 26759929/2 = 0. Calculate x.
-5173
Factor 121*t**3/7 - 1650*t**2/7 - 612*t/7 - 8.
(t - 14)*(11*t + 2)**2/7
Find c such that 4*c**3 - 6416*c**2 + 2572816*c = 0.
0, 802
Factor 5*j**3 - 665*j**2 - 1365*j + 2025.
5*(j - 135)*(j - 1)*(j + 3)
Solve -3*h**3 + 15*h**2 = 0.
0, 5
What is m in -1458*m**4 + 324648*m**3 - 216000*m**2 + 47968*m - 3552 = 0?
2/9, 222
Factor -3*d**3 + 369*d**2 + 2295*d + 3483.
-3*(d - 129)*(d + 3)**2
Let 3*h**3/5 - 63*h**2/5 + 42*h/5 + 72 = 0. Calculate h.
-2, 3, 20
Solve 2*b**3/7 - 8*b**2 + 56*b = 0.
0, 14
Factor 4*g**4/7 + 156*g**3/7 + 128*g**2/7 - 912*g/7.
4*g*(g - 2)*(g + 3)*(g + 38)/7
Factor 2*c**4/9 + 16*c**3/9 - 232*c**2/9 + 128*c/3.
2*c*(c - 6)*(c - 2)*(c + 16)/9
Suppose 2*i**5/7 + 146*i**4/7 - 150*i**3/7 - 146*i**2/7 + 148*i/7 = 0. What is i?
-74, -1, 0, 1
Find k such that -k**4/4 - 15*k**3/2 - 14*k**2 = 0.
-28, -2, 0
Determine t so that 2*t**4/13 - 20*t**3/13 + 42*t**2/13 + 8*t/13 - 56/13 = 0.
-1, 2, 7
Factor 2*t**2/3 + 82*t/3 - 1540/3.
2*(t - 14)*(t + 55)/3
Suppose -3*r**4/4 - 27*r**3/4 - 21*r**2/4 + 27*r/4 + 6 = 0. What is r?
-8, -1, 1
Factor -2*q**3/9 + 8*q**2/3 - 2*q - 44/9.
-2*(q - 11)*(q - 2)*(q + 1)/9
Determine q, given that 5*q**2/4 - 33*q/4 - 14 = 0.
-7/5, 8
Factor 28*c**4 + 372*c**3 + 104*c**2.
4*c**2*(c + 13)*(7*c + 2)
Factor -k**3/3 - 23*k**2/3 + 4*k/3 + 92/3.
-(k - 2)*(k + 2)*(k + 23)/3
Find g, given that -2*g**4/7 - 27*g**3/7 + 44*g**2/7 - 15*g/7 = 0.
-15, 0, 1/2, 1
What is c in -8*c**4/11 + 206*c**3/11 - 694*c**2/11 + 760*c/11 - 24 = 0?
3/4, 1, 2, 22
Determine k, given that k**3 - 6*k**2 + 11*k - 6 = 0.
1, 2, 3
Factor -3*v**4/8 + 21*v**3/4 - 99*v**2/8.
-3*v**2*(v - 11)*(v - 3)/8
What is k in 3*k**4/5 + 132*k**3 + 35634*k**2/5 - 14652*k + 36963/5 = 0?
-111, 1
What is w in 3*w**4/5 + 183*w**3/5 + 2697*w**2/5 - 2883*w/5 = 0?
-31, 0, 1
Factor 12*o**3 - 495*o**2 + 582*o + 720.
3*(o - 40)*(o - 2)*(4*o + 3)
Determine q, given that 2*q**4/15 + 2*q**3/3 + 2*q**2/5 - 2*q/3 - 8/15 = 0.
-4, -1, 1
Factor 2*k**2/5 + 396*k/5 + 19602/5.
2*(k + 99)**2/5
What is x in x**3/2 - x**2 - 5*x/2 + 3 = 0?
-2, 1, 3
Suppose -l**4/4 + 2*l**3 - 9*l**2/4 - 9*l/2 = 0. Calculate l.
-1, 0, 3, 6
Solve 8*a**4/9 + 76*a**3/9 - 140*a**2/9 - 88*a/9 = 0 for a.
-11, -1/2, 0, 2
Factor 3*i**3 + 132*i**2.
3*i**2*(i + 44)
Let -x**3/5 + 13*x/5 - 12/5 = 0. What is x?
-4, 1, 3
Let 2*g**2 + 4*g = 0. What is g?
-2, 0
Factor 14*p**2 - 582*p - 252.
2*(p - 42)*(7*p + 3)
Factor 3*b**2/2 + 75*b - 156.
3*(b - 2)*(b + 52)/2
Factor -2*s**4 - 2*s**3 + 10*s**2 - 6*s.
-2*s*(s - 1)**2*(s + 3)
Factor 21*k**3 + 111*k**2 - 264*k - 84.
3*(k - 2)*(k + 7)*(7*k + 2)
Factor 2*j**3/13 + 4*j**2/13.
2*j**2*(j + 2)/13
Find w such that -w**5/6 - w**4/6 + 17*w**3/6 + 53*w**2/6 + 28*w/3 + 10/3 = 0.
-2, -1, 5
Solve 5*s**4 + 45*s**3 + 100*s**2 + 60*s = 0.
-6, -2, -1, 0
Factor z**3/3 + 11*z**2 + 72*z - 324.
(z - 3)*(z + 18)**2/3
What is k in -3*k**3 + 21*k**2 + 168*k - 396 = 0?
-6, 2, 11
Suppose 3*r**5/2 + r**4/2 - 3*r**3 - r**2 + 3*r/2 + 1/2 = 0. Calculate r.
-1, -1/3, 1
Solve 20*q**5 + 75*q**4 - 125*q**2 + 30*q = 0 for q.
-3, -2, 0, 1/4, 1
Factor m**5 + 147*m**4 - 906*m**3 + 1826*m**2 - 1527*m + 459.
(m - 3)*(m - 1)**3*(m + 153)
Solve -4*b**4 + 364*b**3 + 384*b**2 - 1456*b - 1472 = 0 for b.
-2, -1, 2, 92
Factor -m**2 + 290*m - 289.
-(m - 289)*(m - 1)
What is d in -28*d**3/3 - 44*d**2 + 56*d + 640/3 = 0?
-5, -2, 16/7
Suppose 4*o**5 - 8*o**4 - 8*o**3 + 16*o**2 + 4*o - 8 = 0. What is o?
-1, 1, 2
Factor -2*j**4/13 - 534*j**3/13 - 47526*j**2/13 - 1409938*j/13.
-2*j*(j + 89)**3/13
Solve -s**2/5 - 84*s/5 + 172/5 = 0.
-86, 2
Solve 3*l**3/7 - 195*l**2/7 - 12*l/7 + 780/7 = 0.
-2, 2, 65
Factor -m**2 + 174*m.
-m*(m - 174)
Factor -6*a**3 + 44*a**2 + 34*a - 16.
-2*(a - 8)*(a + 1)*(3*a - 1)
Solve -56644*x**2/3 - 1904*x - 48 = 0 for x.
-6/119
Find k, given that -k**4 - 62*k**3 - 1188*k**2 - 4840*k + 42592 = 0.
-22, 4
Factor -f**3/6 + 541*f**2/6 + 1085*f/6 + 181/2.
-(f - 543)*(f + 1)**2/6
What is t in 4*t**5 + 104*t**4 - 148*t**3 - 1112*t**2 - 864*t = 0?
-27, -2, -1, 0, 4
Factor q**5 - 3*q**4 + q**3 + 3*q**2 - 2*q.
q*(q - 2)*(q - 1)**2*(q + 1)
Factor -z**2/2 - 774*z.
-z*(z + 1548)/2
Suppose 3*k**2 - 51*k + 90 = 0. Calculate k.
2, 15
Factor -2*d**2/15 - 16*d/3 - 152/15.
-2*(d + 2)*(d + 38)/15
Solve -5*u**3 + 20*u**2 - 15*u = 0 for u.
0, 1, 3
Let -3*x**5 + 2*x**4/3 + 18*x**3 - 28*x**2 + 43*x/3 - 2 = 0. Calculate x.
-3, 2/9, 1
Suppose 20*g**5 - 232*g**4 + 724*g**3 - 272*g**2 - 240*g = 0. Calculate g.
-2/5, 0, 1, 5, 6
Factor t**4 + 67*t**3 + 963*t**2 + 3969*t.
t*(t + 9)**2*(t + 49)
Factor 2*o**3 - 68*o**2 - 480*o.
2*o*(o - 40)*(o + 6)
Factor 2*j**2 - 488*j - 490.
2*(j - 245)*(j + 1)
Let 2*r**4 + 62*r**3 + 660*r**2 + 2752*r + 3328 = 0. Calculate r.
-13, -8, -2
Let -o**4/6 + o**3/3 + 4*o**2/3 - 3*o + 3/2 = 0. Calculate o.
-3, 1, 3
Suppose -2*i**4/7 - 4*i**3/7 + 26*i**2/7 + 4*i - 48/7 = 0. Calculate i.
-4, -2, 1, 3
Find t such that -t**3/4 + 181*t**2/2 - 359*t + 358 = 0.
2, 358
Factor 3*f**3 - 27*f**2 - 147*f - 117.
3*(f - 13)*(f + 1)*(f + 3)
Let 3*l**3/8 - 15*l**2/2 + 231*l/8 + 363/4 = 0. What is l?
-2, 11
Find p such that 5*p**4/2 - 60*p**3 + 295*p**2 + 780*p + 845/2 = 0.
-1, 13
Factor -2*j**4 - 1962*j**3 - 1960*j**2.
-2*j**2*(j + 1)*(j + 980)
What is a in -5*a**3 - 3650*a**2 - 662460*a + 1339560 = 0?
-366, 2
Find u such that 3*u**4 + 267*u**3 + 261*u**2 - 267*u - 264 = 0.
-88, -1, 1
Factor v**3 - 13*v**2 + 56*v - 80.
(v - 5)*(v - 4)**2
Let 2*w**4/5 + 44*w**3/5 + 142*w**2/5 - 44*w/5 - 144/5 = 0. Calculate w.
-18, -4, -1, 1
Suppose -8*j**3 + 58*j**2 - 60*j = 0. Calculate j.
0, 5/4, 6
Solve 50*l**4 - 68560*l**3 + 23474928*l**2 + 18812864*l + 3764768 = 0 for l.
-2/5, 686
Factor 4*k**2 + 184*k.
4*k*(k + 46)
Factor -u**4 + 76*u**3 - 363*u**2 + 572*u - 284.
-(u - 71)*(u - 2)**2*(u - 1)
What is f in -5*f**3 - 285*f**2 - 3600*f + 13500 = 0?
-30, 3
Factor 3*x**2 + 81*x.
3*x*(x + 27)
Factor -f**4/2 + 42*f**3 - 921*f**2 + 1558*f + 5043/2.
-(f - 41)**2*(f - 3)*(f + 1)/2
Factor 5*p**3/8 + p**2/2 - 11*p/8 + 1/4.
(p - 1)*(p + 2)*(5*p - 1)/8
Determine g, given that 2*g**2/5 - 112*g/5 + 1566/5 = 0.
27, 29
Determine k so that -k**5/4 - 5*k**4/2 + 3*k**3/4 + 35*k**2 - 49*k = 0.
-7, 0, 2
Let 26*u**3 - 784*u**2 + 5970*u - 900 = 0. Calculate u.
2/13, 15
Factor g**3/7 + 2*g**2/7 + g/7.
g*(g + 1)**2/7
Determine w, given that -3*w**2 + 3294*w - 904203 = 0.
549
What is k in 105*k**3 - 3235*k**2/2 - 995*k - 80 = 0?
-1/2, -2/21, 16
Factor 4*a**2 + 56*a - 60.
4*(a - 1)*(a + 15)
Solve -4*u**4/5 - 984*u**3/5 - 62448*u**2/5 - 47432*u - 175692/5 = 0 for u.
-121, -3, -1
Find o, given that 4*o**5 - 84*o**4 + 280*o**3 - 120*o**2 - 284*o + 204 = 0.
-1, 1, 3, 17
Let l**3 + 5*l**2 - 2*l - 24 = 0. What is l?
-4, -3, 2
Find i such that -5*i**2 + 5335*i + 5340 = 0.
-1, 1068
Let -3*n**3 + 18*n**2 - 24*n = 0. What is n?
0, 2, 4
Suppose -a**2/6 + 17*a/3 + 12 = 0. What is a?
-2, 36
Suppose -20*w**5 - 1648*w**4 - 44336*w**3 - 362432*w**2 + 740096*w + 351232 = 0. Calculate w.
-28, -2/5, 2
Solve -3*k**3 + 99*k**2 - 360*k + 348 = 0 for k.
2, 29
Let 5*f**2 - 10345*f = 0. What is f?
0, 2069
Suppose -j**2/7 + 232*j/7 - 912/7 = 0. Calculate j.
4, 228
Determine h so that h**5/2 - 4*h**4 + 2*h**3 + 11*h**2 - 5*h/2 - 7 = 0.
-1, 1, 2, 7
Suppose -2*p**2/9 + 22*p/3 - 280/9 = 0. Calculate p.
5, 28
Suppose -16*h**3/7 + 3076*h**2/7 - 148224*h/7 + 36864/7 = 0. What is h?
1/4, 96
Factor 3*a**2 - 285*a + 2772.
3*(a - 84)*(a - 11)
Let -3*k**2/7 = 0. What is k?
0
Factor 2*q**2 - 196*q + 4802.
2*(q - 49)**2
Find y such that 2*y**4/7 + 78*y**3/7 + 1014*y**2/7 + 4394*y/7 = 0.
-13, 0
Determine g, given that -5*g**2 + 140*g - 980 = 0.
14
Factor j**4/2 + j**3/2 - 3*j**2/2 - j/2 + 1.
(j - 1)**2*(j + 1)*(j + 2)/2
Solve 3*b**3 + 492*b**2 + 1437*b - 1932 = 0 for b.
-161, -4, 1
Let -4*d**4 + 316*d**3 - 5460*d**2 + 35476*d - 79576 = 0. What is d?
7, 58
Factor -2*l**4/7 + 32*l**3/7 - 156*l**2/7 + 32*l - 14.
-2*(l - 7)**2*(l - 1)**2/7
