0
Suppose 5*a**3 - 105*a**2 + 280*a + 1020 = 0. What is a?
-2, 6, 17
Factor t**4 + 3*t**3 - 4*t.
t*(t - 1)*(t + 2)**2
Solve -2*q**3/9 + 44*q**2/3 + 128*q + 2368/9 = 0 for q.
-4, 74
Determine o, given that 2*o**5/17 - 12*o**4/17 + 10*o**3/17 + 24*o**2/17 = 0.
-1, 0, 3, 4
Let w**4 + 7*w**3 - 18*w**2 = 0. Calculate w.
-9, 0, 2
Factor 3*q**3 + 54*q**2 + 99*q - 1452.
3*(q - 4)*(q + 11)**2
Let -4*d**4/5 - 2*d**3/5 + 28*d**2/5 + 38*d/5 + 12/5 = 0. What is d?
-2, -1, -1/2, 3
Factor -5*m**3 - 30*m**2 - 55*m - 30.
-5*(m + 1)*(m + 2)*(m + 3)
Factor -o**2/7 + 13*o/7 - 6.
-(o - 7)*(o - 6)/7
What is s in 9*s**5 - 129*s**4 - 405*s**3 - 75*s**2 + 396*s + 204 = 0?
-2, -1, -2/3, 1, 17
Determine j, given that j**2/4 - 9*j + 81 = 0.
18
What is b in 4*b**5/11 - 18*b**4 - 5234*b**3/11 + 13902*b**2/11 - 1030*b + 2856/11 = 0?
-21, 1/2, 1, 68
Let -2*c**2 + 1208*c + 1210 = 0. Calculate c.
-1, 605
Let -2*q**3/3 - 32*q**2 - 494*q - 7220/3 = 0. Calculate q.
-19, -10
Find n, given that -3025*n**5/7 - 24310*n**4/7 - 49281*n**3/7 - 1768*n**2/7 - 16*n/7 = 0.
-4, -1/55, 0
Determine j, given that -j**3/8 - 119*j**2/8 - 175*j/4 - 29 = 0.
-116, -2, -1
Let -5*i**5 - 105*i**4 - 275*i**3 - 75*i**2 + 280*i + 180 = 0. What is i?
-18, -2, -1, 1
Let -2*q**2/5 - 68*q/5 - 128/5 = 0. What is q?
-32, -2
Solve -2*t**5/9 - 38*t**4/9 + 226*t**3/9 - 110*t**2/3 + 16*t = 0.
-24, 0, 1, 3
Factor 2*w**2/19 - 248*w/19 + 7688/19.
2*(w - 62)**2/19
Let 35*w**3 + 620*w**2 + 2340*w - 720 = 0. What is w?
-12, -6, 2/7
Factor -z**3/4 + 29*z**2/4 + 32*z + 33.
-(z - 33)*(z + 2)**2/4
Determine z so that 2*z**4/3 - 2*z**3 - 82*z**2/3 + 2*z + 80/3 = 0.
-5, -1, 1, 8
Factor 3*c**4 + 609*c**3 + 29979*c**2 - 94245*c + 63654.
3*(c - 2)*(c - 1)*(c + 103)**2
Factor -t**4/8 + 13*t**3/8 - 61*t**2/8 + 123*t/8 - 45/4.
-(t - 5)*(t - 3)**2*(t - 2)/8
Factor 5*y**3/2 - 25*y**2 + 95*y/2 + 75.
5*(y - 6)*(y - 5)*(y + 1)/2
What is l in -l**2 - 45*l + 196 = 0?
-49, 4
Let -o**3/9 + 7*o**2/3 + o/9 - 7/3 = 0. What is o?
-1, 1, 21
Let 3*z**3 - 1959*z**2 - 7872*z - 7884 = 0. Calculate z.
-2, 657
Factor -4*p**4 + 92*p**3 - 648*p**2 + 1360*p - 800.
-4*(p - 10)**2*(p - 2)*(p - 1)
Factor -w**3/3 - 29*w**2 - 216*w + 20412.
-(w - 21)*(w + 54)**2/3
Factor 5*i**2/4 - 33*i/2 + 18.
(i - 12)*(5*i - 6)/4
Suppose s**2 - 9*s - 22 = 0. Calculate s.
-2, 11
Solve j**2 + 98*j - 99 = 0 for j.
-99, 1
Factor -5*k**3 - 30*k**2 + 12555*k + 269080.
-5*(k - 56)*(k + 31)**2
Find g, given that 2*g**4 - 242*g**3 - 490*g**2 - 246*g = 0.
-1, 0, 123
Factor 3*v**3/8 + 531*v**2/8 + 31329*v/8 + 616137/8.
3*(v + 59)**3/8
Solve 2*i**2/5 + 328*i/5 - 1002/5 = 0.
-167, 3
Factor 2*d**2/9 + 56*d/9 + 6.
2*(d + 1)*(d + 27)/9
Factor b**4/4 + 3*b**3/4 - 15*b**2 - 92*b - 144.
(b - 9)*(b + 4)**3/4
Let -4*t**3 + 96*t**2 - 93*t + 23 = 0. What is t?
1/2, 23
Let j**3/2 - 2*j**2 - 181*j/2 - 88 = 0. What is j?
-11, -1, 16
Factor 1125*g**3 - 2200*g**2 + 745*g - 70.
5*(5*g - 1)**2*(9*g - 14)
Let x**4/7 - 134*x**3/7 + 5940*x**2/7 - 12150*x - 91125/7 = 0. What is x?
-1, 45
Factor -3*i**4/8 + 399*i**3/8 + 411*i**2/2.
-3*i**2*(i - 137)*(i + 4)/8
Factor 2*v**3 - 78*v**2 + 216*v.
2*v*(v - 36)*(v - 3)
Solve i**3 - 67*i**2 - 356*i - 288 = 0 for i.
-4, -1, 72
Factor 4*d**3/5 + 56*d**2/5 + 132*d/5.
4*d*(d + 3)*(d + 11)/5
Factor l**4/4 - 91*l**3 + 543*l**2/2 - 271*l + 361/4.
(l - 361)*(l - 1)**3/4
Factor -d**5 + 9*d**4 + 22*d**3 + 2*d**2 - 21*d - 11.
-(d - 11)*(d - 1)*(d + 1)**3
Let -3*x**3/4 + 51*x**2 - 195*x + 192 = 0. Calculate x.
2, 64
Find y, given that 5*y**5 + 1635*y**4 - 4940*y**3 + 3300*y**2 = 0.
-330, 0, 1, 2
Let -2*s**3/7 + 10*s**2/7 - 4*s/7 - 16/7 = 0. What is s?
-1, 2, 4
Solve -o**4/3 - 1244*o**3/3 + 1246*o**2/3 + 1244*o/3 - 415 = 0.
-1245, -1, 1
Suppose 2*d**3 + 4*d**2 - 14*d + 8 = 0. Calculate d.
-4, 1
Determine o so that -15*o**4 - 5*o**3 + 25*o**2 + 5*o - 10 = 0.
-1, 2/3, 1
Solve -3*q**4 - 387*q**3 + 390*q**2 = 0.
-130, 0, 1
Factor -5*q**5 + 35*q**4 - 95*q**3 + 125*q**2 - 80*q + 20.
-5*(q - 2)**2*(q - 1)**3
Determine s, given that 2*s**4/3 - 218*s**3/3 - 442*s**2/3 - 74*s = 0.
-1, 0, 111
What is k in -7*k**2/10 - 3*k + 44/5 = 0?
-44/7, 2
Factor 2*f**5/15 - 4*f**4/5 - 32*f**3/15.
2*f**3*(f - 8)*(f + 2)/15
Factor -8*u**2 - 242*u - 60.
-2*(u + 30)*(4*u + 1)
Solve 3*k**2 + 465*k = 0 for k.
-155, 0
What is t in t**4/7 + 2*t**3/7 - 45*t**2/7 + 34*t/7 + 80/7 = 0?
-8, -1, 2, 5
Factor -5*o**4 + 40*o**3 + 150*o**2 + 160*o + 55.
-5*(o - 11)*(o + 1)**3
Suppose -a**5/5 - 21*a**4/5 - 19*a**3/5 + 21*a**2/5 + 4*a = 0. Calculate a.
-20, -1, 0, 1
Factor -i**2/3 + 362*i/3 - 32761/3.
-(i - 181)**2/3
Determine z, given that -4*z**2 - 72*z + 160 = 0.
-20, 2
Factor 3*g**2 + 819*g - 822.
3*(g - 1)*(g + 274)
Let -3*n**2 - 33*n - 54 = 0. Calculate n.
-9, -2
Find x, given that 2*x**2 + 46*x - 216 = 0.
-27, 4
Solve x**5/6 - x**4/3 - x**3/2 = 0.
-1, 0, 3
What is m in -m**2/2 + 43*m - 1849/2 = 0?
43
Determine h so that h**5/5 - 2*h**4 + 3*h**3 + 2*h**2 - 16*h/5 = 0.
-1, 0, 1, 2, 8
Factor 36*n**3 + 678*n**2 - 464*n + 78.
2*(2*n + 39)*(3*n - 1)**2
Let 5*g**2 - 30*g - 455 = 0. Calculate g.
-7, 13
Find c such that -20*c**5 + 80*c**4 + 305*c**3/4 - 95*c**2/4 = 0.
-1, 0, 1/4, 19/4
Determine g, given that 2*g**2 - 392*g = 0.
0, 196
Find z such that -6*z**3 - 2025*z**2/2 - 18573*z/2 + 2385 = 0.
-159, -10, 1/4
Solve 10*d**5 + 56*d**4 + 46*d**3 - 88*d**2 - 56*d + 32 = 0.
-4, -2, -1, 2/5, 1
Find j such that -14*j**5/5 + 4*j**4/5 + 42*j**3/5 + 16*j**2/5 - 8*j/5 = 0.
-1, 0, 2/7, 2
Find q, given that 4*q**2 - 5992*q - 5996 = 0.
-1, 1499
Let -69*z**2 + 282*z - 24 = 0. What is z?
2/23, 4
Suppose 3*f**2/4 - 1929*f/2 + 1240347/4 = 0. Calculate f.
643
Let -4*m**5/3 - 28*m**4/3 - 24*m**3 - 88*m**2/3 - 52*m/3 - 4 = 0. What is m?
-3, -1
Factor 3*l**3/2 - 9*l**2/2 + 6.
3*(l - 2)**2*(l + 1)/2
Factor 3*p**3/5 - 63*p**2 + 1800*p - 7500.
3*(p - 50)**2*(p - 5)/5
Suppose 3*h**4/4 - 69*h**3/2 + 594*h**2 - 9075*h/2 + 51909/4 = 0. What is h?
11, 13
Let -144*o**4 + 48*o**3 + 140*o**2 - 48*o + 4 = 0. Calculate o.
-1, 1/6, 1
Determine g so that -4*g**5 + 8*g**3 - 4*g = 0.
-1, 0, 1
Determine s, given that 5*s**2 + 85*s - 90 = 0.
-18, 1
Solve -d**5/3 - 2*d**4/3 + 7*d**3 - 6*d**2 = 0 for d.
-6, 0, 1, 3
Determine w, given that -4*w**4 - 1904*w**3 - 226576*w**2 = 0.
-238, 0
Solve f**4/2 - 6*f**3 + 27*f**2/2 + 2*f - 18 = 0.
-1, 2, 9
Suppose -h**2/2 - 2873*h/2 - 1436 = 0. What is h?
-2872, -1
Let 6*o**5 + 171*o**4 + 822*o**3 + 1497*o**2 + 1116*o + 276 = 0. What is o?
-23, -2, -1, -1/2
Factor 2*o**3/7 - 16*o**2/7 - 2*o/7 + 16/7.
2*(o - 8)*(o - 1)*(o + 1)/7
Factor -2*u**2/3 + 20*u/3 - 14.
-2*(u - 7)*(u - 3)/3
Factor y**3/2 + 19*y**2/2 - 35*y - 44.
(y - 4)*(y + 1)*(y + 22)/2
Solve 5*w**3 - 5*w**2 - 45*w + 45 = 0.
-3, 1, 3
Find z, given that z**5/6 - 2*z**4/3 + z**3/3 + 2*z**2/3 - z/2 = 0.
-1, 0, 1, 3
Suppose -3*n**5 - 19*n**4/5 + 3*n**3 + 23*n**2/5 - 4/5 = 0. What is n?
-1, -2/3, 2/5, 1
Determine m, given that -5*m**3 + 145*m**2 - 95*m - 16245 = 0.
-9, 19
Factor w**3/4 + 17*w**2/4 - 19*w/2.
w*(w - 2)*(w + 19)/4
Find a, given that -a**2/7 - 8552*a/7 - 18284176/7 = 0.
-4276
Suppose 3*h**2/5 + 14976*h/5 + 18690048/5 = 0. What is h?
-2496
Suppose -5*u**4 - 70*u**3 - 325*u**2 - 620*u - 420 = 0. What is u?
-7, -3, -2
Find b, given that 3*b**4 + 27*b**3 + 81*b**2 + 93*b + 36 = 0.
-4, -3, -1
Factor 2*n**3 + 8*n**2 - 456*n + 864.
2*(n - 12)*(n - 2)*(n + 18)
Factor -m**4 + 14*m**3 - 48*m**2 - 14*m + 49.
-(m - 7)**2*(m - 1)*(m + 1)
Factor 2*b**3/7 + 40*b**2/7 + 166*b/7 - 208/7.
2*(b - 1)*(b + 8)*(b + 13)/7
Solve -3*z**2/8 - 2241*z/8 + 2247/4 = 0.
-749, 2
Determine p so that 32*p**5/9 + 368*p**4/9 + 178*p**3/9 + 22*p**2/9 = 0.
-11, -1/4, 0
Find m such that -2*m**5/7 - 2*m**4/7 + 26*m**3/7 + 50*m**2/7 + 24*m/7 = 0.
-3, -1, 0, 4
Solve 5*s**3 - 170*s**2 + 375*s + 2790 = 0 for s.
-3, 6, 31
Factor -2*g**4 - 3080*g**3 - 1182716*g**2 + 2374680*g - 1188882.
-2*(g - 1)**2*(g + 771)**2
Suppose n**2/3 - 8*n + 80/3 = 0. What is n?
4, 20
Find z, given that 1600*z**4 - 3372*z**3 + 1920*z**2 - 124*z - 24 = 0.
-2/25, 3/16, 1
Solve -35*k**3/6 + 185*k**2/2 + 670*k/3 + 30 = 0 for k.
-2, -1/7, 18
Suppose -w**4 + 19*w**3 + 7*w**2 - 139*w + 114 = 0. Calculate w.
-3, 1, 2, 19
Let -u**4 - 4*u**3 + 115*u**2 + 238*u + 120 = 0. Calculate u.
-12, -1, 10
Determine q, given that -q**5/2 - 4*q**4