 - 2)/3
Find r such that r**3/8 + 7*r**2/2 - 253*r/8 - 35 = 0.
-35, -1, 8
Factor -h**4/7 - 5*h**3/7 - 3*h**2/7 + 5*h/7 + 4/7.
-(h - 1)*(h + 1)**2*(h + 4)/7
Factor t**4/6 - 2*t**3/3 + t**2/2 + 2*t/3 - 2/3.
(t - 2)**2*(t - 1)*(t + 1)/6
Determine i so that -i**5/11 - 378*i**4/11 - 1865*i**3/11 = 0.
-373, -5, 0
Determine g so that -g**2/4 + 20*g + 41 = 0.
-2, 82
Suppose -a**5 - 19*a**4 + 173*a**3 + 4043*a**2 - 6760*a - 219700 = 0. Calculate a.
-13, 10
Determine k, given that -16*k**5 + 528*k**4 - 1908*k**3 + 1520*k**2 - 348*k = 0.
0, 1/2, 3, 29
Solve 8*h**2/9 - 53*h - 485/9 = 0 for h.
-1, 485/8
Factor a**2/4 - a.
a*(a - 4)/4
Factor v**2/3 + 110*v/3 + 667.
(v + 23)*(v + 87)/3
Determine i, given that -2*i**5 + 96*i**4 + 104*i**3 - 292*i**2 - 102*i + 196 = 0.
-2, -1, 1, 49
Factor -m**2 - 34*m - 33.
-(m + 1)*(m + 33)
Factor -3*k**2/7 + 66*k/7 - 48.
-3*(k - 14)*(k - 8)/7
Factor s**3/2 - 2*s**2.
s**2*(s - 4)/2
Factor -h**4/3 - 9*h**3 - 68*h**2 - 308*h/3.
-h*(h + 2)*(h + 11)*(h + 14)/3
Suppose z**3/3 + z**2 - 3*z + 5/3 = 0. What is z?
-5, 1
Let 3*k**3/5 + 12*k**2/5 + 3*k + 6/5 = 0. Calculate k.
-2, -1
Solve -2*j**2/5 + 208*j/5 + 42 = 0.
-1, 105
Factor 3*t**3 + 69*t**2 + 270*t.
3*t*(t + 5)*(t + 18)
Suppose 5*z**5 - 15*z**3 + 10*z**2 = 0. What is z?
-2, 0, 1
Solve -20*j**3 + 2522*j**2/9 - 8848*j/9 + 98/9 = 0.
1/90, 7
Factor -x**2/5 - 3*x/5 + 4/5.
-(x - 1)*(x + 4)/5
Let -5*p**3 + 45*p**2 - 100*p + 60 = 0. What is p?
1, 2, 6
What is b in -4*b**3/9 + 56*b**2/9 - 4*b - 144 = 0?
-4, 9
Factor -2*m**4 + 6248*m**3 - 4879688*m**2.
-2*m**2*(m - 1562)**2
What is q in -5*q**3 - 240*q**2 - 685*q - 450 = 0?
-45, -2, -1
Factor -k**3/2 + 519*k**2/2 - 1287*k + 1028.
-(k - 514)*(k - 4)*(k - 1)/2
Suppose 5*h**3/3 - 20*h**2 + 60*h = 0. Calculate h.
0, 6
Determine i so that 2*i**4/9 + 20*i**3/9 + 2*i**2 = 0.
-9, -1, 0
Solve -28*a**4 - 596*a**3 - 1736*a**2 - 1456*a - 288 = 0 for a.
-18, -2, -1, -2/7
Suppose -4*m**3 - 912*m**2 - 49140*m + 328536 = 0. What is m?
-117, 6
Let 18*i**4 - 303*i**3 + 1137*i**2 + 807*i - 651 = 0. Calculate i.
-1, 1/2, 7, 31/3
Solve 8*c**4/5 + 14*c**3/5 - 42*c**2/5 - 36*c/5 = 0.
-3, -3/4, 0, 2
Determine r, given that 2*r**5/17 + 58*r**4/17 - 108*r**3/17 - 7308*r**2/17 + 39690*r/17 - 55566/17 = 0.
-21, 3, 7
Factor -2*k**2/7 - 34*k/7 - 60/7.
-2*(k + 2)*(k + 15)/7
Solve -2*j**3/15 - 8*j**2/5 + 26*j/15 = 0.
-13, 0, 1
Factor -4*w**2 + 956*w + 2904.
-4*(w - 242)*(w + 3)
Let -6*o**5 - 100*o**4 - 446*o**3 - 224*o**2 + 128*o = 0. Calculate o.
-8, -1, 0, 1/3
Factor -3*s**5 - 15*s**4 + 108*s**3.
-3*s**3*(s - 4)*(s + 9)
Factor 2*k**3 - 2*k**2 - 18*k + 18.
2*(k - 3)*(k - 1)*(k + 3)
What is h in -225*h**5 + 1005*h**4 + 3845*h**3 + 1195*h**2 - 1280*h + 140 = 0?
-2, -1, 2/15, 1/3, 7
Factor -2*r**2/11 + 284*r/11 + 1168/11.
-2*(r - 146)*(r + 4)/11
Suppose 7*u**2/5 - 31*u/5 + 12/5 = 0. Calculate u.
3/7, 4
Solve -3*u**2 - 12*u + 15 = 0 for u.
-5, 1
Let 5*d**4 - 910*d**3 + 35505*d**2 + 545140*d + 940900 = 0. What is d?
-10, -2, 97
Factor 5*z**3 + 385*z**2 - 785*z + 395.
5*(z - 1)**2*(z + 79)
What is z in 6*z**5 - 104*z**4 + 442*z**3 - 736*z**2 + 488*z - 96 = 0?
1/3, 1, 2, 12
Factor -5*b**2 + 495*b - 1440.
-5*(b - 96)*(b - 3)
Find t such that 60*t**5 + 267*t**4 + 243*t**3 - 111*t**2 - 183*t - 36 = 0.
-3, -1, -1/4, 4/5
Find g such that -g**3/8 - 3*g**2/8 + 9*g/4 = 0.
-6, 0, 3
Factor 15*d**4 + 6*d**3 - 15*d**2 - 6*d.
3*d*(d - 1)*(d + 1)*(5*d + 2)
Factor 3*w**3/5 + 6711*w**2/5 + 748608*w - 2257920.
3*(w - 3)*(w + 1120)**2/5
Let -f**5/3 - 2*f**4/3 + 55*f**3/3 + 56*f**2/3 = 0. What is f?
-8, -1, 0, 7
Determine k, given that 2*k**2 - 180*k = 0.
0, 90
Solve 10*f**4/11 + 116*f**3/11 - 48*f**2/11 = 0.
-12, 0, 2/5
Factor 5*d**3 + 300*d**2 + 4500*d.
5*d*(d + 30)**2
Find f, given that -3*f**4 + 108*f**3 - 306*f**2 + 300*f - 99 = 0.
1, 33
Factor -5*r**3 + 370*r**2 + 385*r - 750.
-5*(r - 75)*(r - 1)*(r + 2)
Factor -k**2 - 36*k + 37.
-(k - 1)*(k + 37)
Factor -3*y**4 - 57*y**3 + 9*y**2 + 177*y + 114.
-3*(y - 2)*(y + 1)**2*(y + 19)
Determine l so that l**5/4 + 3*l**4/4 - l**3/4 - 11*l**2/4 - 3*l - 1 = 0.
-2, -1, 2
Suppose 2*k**5/7 + 4*k**4 + 72*k**3/7 + 68*k**2/7 + 22*k/7 = 0. What is k?
-11, -1, 0
Determine n so that 5*n**2 + 170*n + 600 = 0.
-30, -4
Let 3*h**3 - 228*h**2 + 219*h + 450 = 0. Calculate h.
-1, 2, 75
Determine g so that -g**5/6 - g**4 - 7*g**3/3 - 8*g**2/3 - 3*g/2 - 1/3 = 0.
-2, -1
Find q, given that 5*q**3 + 70*q**2 + 65*q = 0.
-13, -1, 0
Let -5*w**5/2 + 254*w**4 - 301*w**3/2 - 101*w**2 = 0. Calculate w.
-2/5, 0, 1, 101
Let -3*o**4 + 21*o**3 + 294*o**2 = 0. What is o?
-7, 0, 14
Factor 54*m**4 - 5157*m**3 + 334917*m**2/2 - 7798087*m/4 + 6539203/2.
(m - 2)*(6*m - 187)**3/4
Factor -2*t**3/3 + 74*t**2/3 - 646*t/3 - 722/3.
-2*(t - 19)**2*(t + 1)/3
Factor 5*u**3 - 390*u**2 + 8325*u - 27380.
5*(u - 37)**2*(u - 4)
Solve 2*d**3 + 46*d**2 - 380*d - 928 = 0 for d.
-29, -2, 8
Determine y, given that 20*y**5 - 15*y**4 - 65*y**3 + 5*y**2 + 45*y + 10 = 0.
-1, -1/4, 1, 2
Determine d, given that 15*d**4 - 1160*d**3 - 6945*d**2 - 9090*d - 3320 = 0.
-4, -1, -2/3, 83
What is o in 5*o**4/6 + 5*o**3 - 20*o**2/3 - 5*o + 35/6 = 0?
-7, -1, 1
Factor 4*g**4/3 - 68*g**3/3 + 224*g**2/3 - 208*g/3.
4*g*(g - 13)*(g - 2)**2/3
Factor -4*f**4 + 688*f**3 - 25944*f**2 - 313040*f - 828100.
-4*(f - 91)**2*(f + 5)**2
Factor a**2/7 + 1146*a + 2298303.
(a + 4011)**2/7
Let -4*j**2 - 528*j - 10368 = 0. Calculate j.
-108, -24
What is b in 16*b**5/7 - 732*b**4/7 + 72*b**3 + 1612*b**2/7 + 360*b/7 = 0?
-1, -1/4, 0, 2, 45
Suppose -2*b**2/17 + 48*b/17 + 224/17 = 0. What is b?
-4, 28
Let 500*u**5/7 + 300*u**4/7 - 3280*u**3/7 + 1152*u**2/7 + 512*u/7 - 192/7 = 0. Calculate u.
-3, -2/5, 2/5, 2
Find a such that 15*a**5 - 5*a**4 - 40*a**3 - 20*a**2 = 0.
-1, -2/3, 0, 2
What is v in -v**5/10 - v**4/10 + v**3 + v**2 - 9*v/10 - 9/10 = 0?
-3, -1, 1, 3
Suppose 4715*u**2/6 - 5*u = 0. Calculate u.
0, 6/943
Find a such that 50*a**3 - 73*a**2 - 4*a + 27 = 0.
-27/50, 1
Solve -5*t**5 + 5*t**4 + 60*t**3 - 140*t**2 + 80*t = 0.
-4, 0, 1, 2
Factor 2*v**2 - 34*v.
2*v*(v - 17)
Factor -3*n**2/7 + 81*n/7 - 78/7.
-3*(n - 26)*(n - 1)/7
Determine g, given that 5*g**4/2 + 13*g**3/2 + 2*g**2 - 2*g = 0.
-2, -1, 0, 2/5
Find u, given that 2*u**2/5 - 22*u/5 + 48/5 = 0.
3, 8
What is n in -2*n**2 + 74*n + 328 = 0?
-4, 41
Find i, given that 3*i**5/8 - 4047*i**4/8 + 1011*i**3/2 = 0.
0, 1, 1348
Factor -98*q**4/19 + 140*q**3/19 - 32*q**2/19.
-2*q**2*(7*q - 8)*(7*q - 2)/19
Factor 25*j**3 + 26*j**2 - 149*j - 6.
(j - 2)*(j + 3)*(25*j + 1)
Factor -5*l**4 - 80*l**3 - 295*l**2 - 220*l.
-5*l*(l + 1)*(l + 4)*(l + 11)
Factor -2*g**2/3 + 58*g/3 - 80.
-2*(g - 24)*(g - 5)/3
Let 2*r**4/5 + 64*r**3/5 - 446*r**2/5 + 76*r = 0. Calculate r.
-38, 0, 1, 5
Solve b**5/4 + 37*b**4/4 + 103*b**3/4 + 31*b**2/4 - 26*b - 17 = 0.
-34, -2, -1, 1
Solve -6*y**2/5 - 54*y/5 - 108/5 = 0.
-6, -3
Find g, given that -4*g**5 - 36*g**4 - 124*g**3 - 204*g**2 - 160*g - 48 = 0.
-3, -2, -1
Factor -j**4/5 + 1174*j**3/5 + 2351*j**2/5 + 1176*j/5.
-j*(j - 1176)*(j + 1)**2/5
Factor 9*m**3 + 354*m**2 - 1959*m + 1596.
3*(m - 4)*(m - 1)*(3*m + 133)
Factor -2*t**3/21 + 1970*t**2/7 - 208046*t + 623294/3.
-2*(t - 1477)**2*(t - 1)/21
Let 2*m**3/21 - 2774*m**2/21 + 5542*m/21 - 2770/21 = 0. What is m?
1, 1385
Find c such that 2*c**3/7 + 4*c**2/7 - 10*c/7 - 12/7 = 0.
-3, -1, 2
Factor -m**5 - 9*m**4 - 31*m**3 - 51*m**2 - 40*m - 12.
-(m + 1)**2*(m + 2)**2*(m + 3)
Find s such that -5*s**4 + 55*s**3 + 5*s**2 - 55*s = 0.
-1, 0, 1, 11
Factor -w**4 - 31*w**3 - 87*w**2 - 85*w - 28.
-(w + 1)**3*(w + 28)
Factor -d**3/6 + d/6.
-d*(d - 1)*(d + 1)/6
Factor 9*m**2 + m - 8.
(m + 1)*(9*m - 8)
Suppose -5*u**5/3 + 70*u**4/3 - 90*u**3 + 440*u**2/3 - 325*u/3 + 30 = 0. Calculate u.
1, 2, 9
Factor 4*c**5 + 808*c**4 + 1600*c**3.
4*c**3*(c + 2)*(c + 200)
Factor -5*c**3 - 85*c**2 - 400*c - 320.
-5*(c + 1)*(c + 8)**2
Solve -4*j**5 - 44*j**4 + 68*j**3 + 252*j**2 + 144*j = 0 for j.
-12, -1, 0, 3
Factor 2*f**4/13 - 40*f**3/13 + 108*f**2/13 - 8*f + 34/13.
2*(f - 17)*(f - 1)**3/13
Let -i**2 - 104*i - 2704 = 0. Calculate i.
-52
Solve -35*n**4 - 746*n**3 + 1329*n**2 - 640*n + 92 = 0 for n.
-23, 2/7, 2/5, 1
Factor 2*d**3/13 + 108*d**2/13 - 2*d/13 - 108/13.
2*(d - 1)*(d + 1)*(d + 54)/13
Suppose -245*v**5 + 385*v**4 + 1310*v**3 - 820*v**2 + 120*v = 0. Ca