(t - 8)*(t - 6)**2/17
Find m, given that 2*m**2/11 - 3118*m/11 - 852 = 0.
-3, 1562
Let 2*c**3/21 + 136*c**2/21 + 472*c/7 + 192 = 0. Calculate c.
-56, -6
Let 4*k**4 - 412*k**3 - 1712*k**2 = 0. Calculate k.
-4, 0, 107
Factor 2*c**2/13 + 252*c/13 - 80.
2*(c - 4)*(c + 130)/13
Find z, given that 3*z**5/7 - 15*z**4/7 + 3*z**3 - 9*z**2/7 = 0.
0, 1, 3
Factor 3*b**5/2 - 3*b**4 - 6*b**3 + 12*b**2.
3*b**2*(b - 2)**2*(b + 2)/2
Let -2*t**5 - 2*t**4 + 20*t**3 - 16*t**2 = 0. Calculate t.
-4, 0, 1, 2
Let -b**2/2 - 36*b + 3193/2 = 0. Calculate b.
-103, 31
Find q such that -q**3 + 65*q**2 - 127*q + 63 = 0.
1, 63
Find h, given that -60*h**5 - 897*h**4 - 1572*h**3 - 654*h**2 + 120*h + 39 = 0.
-13, -1, -1/5, 1/4
Factor -2*f**4/3 + 2*f**3 + 40*f**2 - 736*f/3 + 384.
-2*(f - 4)**3*(f + 9)/3
Factor -j**3/5 + j**2 + 44*j/5 + 12.
-(j - 10)*(j + 2)*(j + 3)/5
Find r such that 2*r**3 - 166*r**2 + 4142*r - 32490 = 0.
19, 45
Factor h**4/5 + 26*h**3/5 - 96*h**2/5 - 266*h/5 - 29.
(h - 5)*(h + 1)**2*(h + 29)/5
What is f in 2*f**3/17 - 14*f/17 - 12/17 = 0?
-2, -1, 3
What is h in 5*h**2/2 + 85*h + 165/2 = 0?
-33, -1
Factor 10*d**2/3 - 5096*d/3 - 680.
2*(d - 510)*(5*d + 2)/3
Factor 16*h**3 - 76*h**2 - 32*h + 60.
4*(h - 5)*(h + 1)*(4*h - 3)
Let -2*b**4 + 82*b**3 - 76*b**2 - 160*b = 0. Calculate b.
-1, 0, 2, 40
Let -8*d**5/19 - 32*d**4/19 + 550*d**3/19 + 3162*d**2/19 + 144*d + 648/19 = 0. What is d?
-6, -1/2, 9
Solve z**3 - 9*z**2/2 - 10*z + 6 = 0.
-2, 1/2, 6
Find c such that c**3/2 + 3*c**2/2 - 2 = 0.
-2, 1
What is y in 3*y**4 - 45*y**3 + 78*y**2 = 0?
0, 2, 13
Factor 5*u**4 + 610*u**3 + 17345*u**2 - 76860*u + 79380.
5*(u - 2)**2*(u + 63)**2
Factor -3*p**3/4 + 3*p**2/4 + 9*p/2.
-3*p*(p - 3)*(p + 2)/4
What is s in -2*s**2 + 62*s - 116 = 0?
2, 29
Factor q**5/3 - 16*q**4/3 + 94*q**3/3 - 80*q**2 + 75*q.
q*(q - 5)**2*(q - 3)**2/3
What is j in 21*j**2/4 + 3876*j + 1107 = 0?
-738, -2/7
Factor 4*r**2 - 992*r + 61504.
4*(r - 124)**2
What is r in 5*r**5 - 185*r**3 + 420*r**2 = 0?
-7, 0, 3, 4
Let 3*f**3 - 1104*f**2 - 2220*f = 0. What is f?
-2, 0, 370
Factor 5*y**3 - 115*y**2 + 110*y.
5*y*(y - 22)*(y - 1)
Determine u, given that u**4 - 8*u**3 - 14*u**2 + 48*u - 27 = 0.
-3, 1, 9
Find k, given that -50*k**5/17 - 77190*k**4/17 - 215878*k**3/17 - 212714*k**2/17 - 86304*k/17 - 12328/17 = 0.
-1541, -1, -2/5
Suppose -4*z**4/3 + 28*z**3/3 - 68*z**2/3 + 68*z/3 - 8 = 0. Calculate z.
1, 2, 3
Suppose -14*c**4 + 500*c**3 + 3546*c**2 + 6264*c + 1512 = 0. What is c?
-3, -2/7, 42
Let 5*o**4/3 - 293*o**3/3 - 701*o**2 + 1481*o/3 + 910/3 = 0. What is o?
-7, -2/5, 1, 65
What is v in -5*v**4 + 95*v**3 - 90*v**2 = 0?
0, 1, 18
Factor 4*k**3 + 144*k**2 + 1296*k + 3456.
4*(k + 6)**2*(k + 24)
Suppose -n**2 + 21*n - 20 = 0. Calculate n.
1, 20
Factor -y**2/4 - 127*y/2 - 250.
-(y + 4)*(y + 250)/4
Factor -12*y**3 + 14*y**2 - 16*y/3 + 2/3.
-2*(2*y - 1)*(3*y - 1)**2/3
Suppose 28*y**5/5 + 34*y**4/5 - 54*y**3/5 - 16*y**2/5 + 8*y/5 = 0. Calculate y.
-2, -1/2, 0, 2/7, 1
Solve -b**5/2 - 37*b**4/2 - 83*b**3 - 94*b**2 + 68*b + 128 = 0 for b.
-32, -2, 1
Let 2*a**2/7 - 7678*a/7 + 7676/7 = 0. What is a?
1, 3838
What is m in 12*m**4 + 4*m**3 - 84*m**2 + 44*m + 24 = 0?
-3, -1/3, 1, 2
Let 1536*o**4/5 - 2304*o**3/5 + 696*o**2/5 + 126*o/5 - 54/5 = 0. What is o?
-1/4, 3/8, 1
Solve 3*b**4 + 30*b**3 + 87*b**2 + 96*b + 36 = 0.
-6, -2, -1
Factor -3*o**4 + 6*o**3 + 156*o**2 + 282*o + 135.
-3*(o - 9)*(o + 1)**2*(o + 5)
Find z such that -3*z**2 - 9306*z - 7216803 = 0.
-1551
Determine n so that 3*n**4 + 18*n**3 + 33*n**2 + 18*n = 0.
-3, -2, -1, 0
Factor -3*f**5/4 - 15*f**4/4 - 9*f**3/2.
-3*f**3*(f + 2)*(f + 3)/4
Suppose -4*n**4 + 32*n**3 - 20*n**2 - 56*n = 0. What is n?
-1, 0, 2, 7
Determine l, given that 20*l**4 + 1172*l**3 + 16296*l**2 - 26640*l - 21600 = 0.
-30, -3/5, 2
Factor -3*a**4 - 15*a**3 + 12*a**2 + 60*a.
-3*a*(a - 2)*(a + 2)*(a + 5)
Factor 2*n**2/13 - 4*n/13 - 30/13.
2*(n - 5)*(n + 3)/13
Factor -a**3 + 164*a**2 + a - 164.
-(a - 164)*(a - 1)*(a + 1)
Factor -g**2/2 - 237*g/2 - 235.
-(g + 2)*(g + 235)/2
Find s, given that -2*s**3/3 + 56*s**2/15 - 22*s/5 - 12/5 = 0.
-2/5, 3
Factor -2*z**3/7 + 2*z**2/7 + 10*z/7 + 6/7.
-2*(z - 3)*(z + 1)**2/7
Factor d**3 - 3*d**2 - 6*d + 8.
(d - 4)*(d - 1)*(d + 2)
Factor -i**2 + 1918*i - 919681.
-(i - 959)**2
Solve -2*j**3 + 19*j**2/3 - 3*j - 10/3 = 0.
-1/2, 5/3, 2
Let -v**2 + 64*v - 1024 = 0. What is v?
32
Factor 28*a**4 - 24*a**3 - 148*a**2 - 96*a.
4*a*(a - 3)*(a + 1)*(7*a + 8)
Factor -2*j**4/5 - 6*j**3 - 52*j**2/5.
-2*j**2*(j + 2)*(j + 13)/5
Factor 14*y**2/3 - 514*y/3 - 148/3.
2*(y - 37)*(7*y + 2)/3
Factor 3*c**3 + 150*c**2 + 1275*c + 3000.
3*(c + 5)**2*(c + 40)
Let -d**3/4 - 7*d**2/4 + 49*d/2 = 0. Calculate d.
-14, 0, 7
Factor 16*x**3 + 1788*x**2 - 4096*x + 912.
4*(x - 2)*(x + 114)*(4*x - 1)
Factor -14*m**4/11 - 16*m**3/11 - 2*m**2/11.
-2*m**2*(m + 1)*(7*m + 1)/11
What is p in -21*p**4/4 + 249*p**3/8 - 45*p**2 + 141*p/8 + 3/2 = 0?
-1/14, 1, 4
Factor 2*l**3/7 + 4*l**2/7 - 210*l + 14400/7.
2*(l - 15)**2*(l + 32)/7
Let 2*k**4/9 + 32*k**3/3 + 338*k**2/9 - 212*k/3 - 880/9 = 0. Calculate k.
-44, -5, -1, 2
Find q, given that -2*q**3/13 + 732*q**2/13 - 112*q = 0.
0, 2, 364
Factor 5*k**3/2 + 195*k**2/2 - 425*k/2 - 615/2.
5*(k - 3)*(k + 1)*(k + 41)/2
Suppose -3*q**4 + 3528*q**3 - 1040754*q**2 + 2070936*q - 1033707 = 0. What is q?
1, 587
Factor -2*b**3/5 - 3838*b**2/5 - 1843198*b/5 - 1839362/5.
-2*(b + 1)*(b + 959)**2/5
Suppose p**3/9 - p**2/9 - 82*p/9 - 80/9 = 0. What is p?
-8, -1, 10
Find p such that 2*p**2/11 + 16*p - 546/11 = 0.
-91, 3
Solve d**3/2 - 133*d**2/2 + 519*d/2 - 387/2 = 0 for d.
1, 3, 129
Solve 4*c**4/3 - 20*c**3/3 + 8*c**2 + 16*c/3 - 32/3 = 0 for c.
-1, 2
Factor -4*u**2/5 + 316*u/5 - 552.
-4*(u - 69)*(u - 10)/5
Factor -2*c**3/7 - 22*c**2/7 - 10*c - 50/7.
-2*(c + 1)*(c + 5)**2/7
Factor -s**2/7 - 38*s/7 + 24.
-(s - 4)*(s + 42)/7
Let a**4/7 + 6*a**3/7 - 96*a**2/7 + 32*a = 0. What is a?
-14, 0, 4
Factor -3*x**3/2 - 201*x**2/2 - 1632*x + 1734.
-3*(x - 1)*(x + 34)**2/2
Factor -2*t**2/9 + 6*t + 248/9.
-2*(t - 31)*(t + 4)/9
Let 5*m**2 + 15*m - 20 = 0. Calculate m.
-4, 1
Solve 15*y**4 - 70*y**3 - 160*y**2 + 630*y + 225 = 0.
-3, -1/3, 3, 5
Determine w so that -2*w**5 - 47*w**4 - 499*w**3/2 - 2037*w**2/4 - 855*w/2 - 459/4 = 0.
-17, -3, -3/2, -1/2
Factor -3*o**2 + 288*o + 291.
-3*(o - 97)*(o + 1)
Factor -5*g**4 + 246*g**3 - 49*g**2.
-g**2*(g - 49)*(5*g - 1)
Factor -r**4 + 47*r**3 - 357*r**2 + 545*r + 950.
-(r - 38)*(r - 5)**2*(r + 1)
Find x, given that 2*x**3/13 - 22*x**2/13 = 0.
0, 11
Determine b, given that 5*b**3 - 980*b**2 + 11220*b - 33120 = 0.
6, 184
Factor 28*w**2 - 300*w - 88.
4*(w - 11)*(7*w + 2)
Suppose -7*f**3 - 79*f**2 - 22*f = 0. What is f?
-11, -2/7, 0
Determine n, given that n**2 + 15*n - 1066 = 0.
-41, 26
Suppose 2*m**2/9 - 10*m/9 = 0. What is m?
0, 5
Determine k, given that -k**5/7 + 20*k**4/7 - 54*k**3/7 + 52*k**2/7 - 17*k/7 = 0.
0, 1, 17
Factor -4*h**2 - 12*h + 40.
-4*(h - 2)*(h + 5)
Find v such that -12*v**5 - 39*v**4 + 255*v**3 + 210*v**2 - 828*v - 216 = 0.
-6, -2, -1/4, 2, 3
Solve 25*m**4 - 3140*m**3 - 4435*m**2 - 1270*m = 0 for m.
-1, -2/5, 0, 127
Determine x, given that -15*x**4 - 3995*x**3 - 9265*x**2 - 6605*x - 1320 = 0.
-264, -1, -1/3
Factor -2*b**2/5 + 4*b - 10.
-2*(b - 5)**2/5
Determine v, given that -6*v**5/5 - 4*v**4/5 + 294*v**3/5 + 916*v**2/5 + 96*v = 0.
-5, -3, -2/3, 0, 8
Determine k so that -k**4/3 + 5*k**3/3 - k**2 - 5*k/3 + 4/3 = 0.
-1, 1, 4
Solve -i**4 + 5*i**3 - 4*i**2 = 0.
0, 1, 4
Factor 5*n**5 + 267*n**4 + 106*n**3.
n**3*(n + 53)*(5*n + 2)
Suppose 2*s**3/7 - 1588*s**2/7 + 904*s - 6320/7 = 0. What is s?
2, 790
What is x in x**3 - 69*x**2 + 1224*x - 1156 = 0?
1, 34
Factor 4*t**2 - 1496*t + 139876.
4*(t - 187)**2
Factor x**4/2 - 1100*x**3 + 606099*x**2 - 1208900*x + 1207801/2.
(x - 1099)**2*(x - 1)**2/2
Let -4*i**5 + 912*i**4 + 1836*i**3 + 920*i**2 = 0. Calculate i.
-1, 0, 230
Find y such that 3*y**3 - 12*y**2 + 3*y + 18 = 0.
-1, 2, 3
Solve 3*q**5 - 4074*q**4 + 1842804*q**3 - 277032150*q**2 - 278879031*q = 0 for q.
-1, 0, 453
Solve -3*r**2/4 + 315*r/2 - 33075/4 = 0.
105
Let 4*o**4 + 32*o**3 - 172*o**2 + 232*o - 96 = 0. What is o?
-12, 1, 2
What is b in -b**2/4 - 2*b - 4 = 0?
-4
Solve 2*d**2/19 + 128*d/19 = 0 for d.
-64, 0
Suppose 4*i**5/7 + 220*i**4/7 + 1776*i**3/7 + 5696