q - 3)*(q + 1)**2/3
Determine d, given that -d**3/2 - 3*d**2/2 + 35*d + 72 = 0.
-9, -2, 8
Factor 2*f**2/11 - 24*f/11 - 90/11.
2*(f - 15)*(f + 3)/11
Solve -m**5 + 468*m**4 - 54755*m**3 - 468*m**2 + 54756*m = 0 for m.
-1, 0, 1, 234
Suppose -s**2/4 - 123*s/2 - 15129/4 = 0. Calculate s.
-123
Determine o so that -o**3/2 + 7*o**2/2 + 85*o = 0.
-10, 0, 17
Suppose 2*r**3/7 + 328*r**2/7 - 2*r/7 - 328/7 = 0. What is r?
-164, -1, 1
Factor -c**2/5 - 34*c/5 + 611/5.
-(c - 13)*(c + 47)/5
Find v, given that v**5/3 + 2*v**4/3 - 2*v**3 - 20*v**2/3 - 19*v/3 - 2 = 0.
-2, -1, 3
What is l in -4*l**5 + 14*l**4 - 12*l**3 - 2*l**2 + 4*l = 0?
-1/2, 0, 1, 2
Suppose -28*m**2 + 52*m + 216 = 0. What is m?
-2, 27/7
Determine h, given that 5*h**5 + 4155*h**4 + 1293760*h**3 + 178680320*h**2 + 9178890240*h - 9358868480 = 0.
-208, 1
Factor -2*t**3/7 - 38*t**2/7 - 136*t/7 + 440/7.
-2*(t - 2)*(t + 10)*(t + 11)/7
Solve 84*m**2 + 92*m + 8 = 0.
-1, -2/21
Find k, given that 2*k**2/5 + 18*k/5 = 0.
-9, 0
Solve -35*d**4 - 9915*d**3 - 22535*d**2 - 15465*d - 2810 = 0 for d.
-281, -1, -2/7
Factor 2*q**4/7 + 6*q**3/7 - 8*q/7.
2*q*(q - 1)*(q + 2)**2/7
Factor 2*k**4 - 15*k**3 + 13*k**2 + 60*k.
k*(k - 5)*(k - 4)*(2*k + 3)
Factor -49*g**5/3 - 175*g**4/3 - 235*g**3/3 - 145*g**2/3 - 40*g/3 - 4/3.
-(g + 1)**3*(7*g + 2)**2/3
Factor -v**2 + 288*v - 572.
-(v - 286)*(v - 2)
Factor n**5/3 - 16*n**4 - 68*n**3 - 208*n**2/3.
n**2*(n - 52)*(n + 2)**2/3
Determine t, given that 3*t**4 - 15*t**3 + 12*t**2 = 0.
0, 1, 4
Let -5*m**5 - 265*m**4 + 1125*m**3 - 875*m**2 - 1120*m + 1140 = 0. Calculate m.
-57, -1, 1, 2
Find w such that 13*w**3 + 37*w**2 - 136*w + 20 = 0.
-5, 2/13, 2
Suppose -3364*o**3/5 - 209496*o**2/5 - 11520*o - 3968/5 = 0. What is o?
-62, -4/29
Factor 4*k**3 - 120*k**2 - 268*k + 384.
4*(k - 32)*(k - 1)*(k + 3)
Let -4*k**2 + 120*k + 2236 = 0. What is k?
-13, 43
Solve -n**5 + 1097*n**4 + 3297*n**3 + 3299*n**2 + 1100*n = 0 for n.
-1, 0, 1100
Solve 5*f**5 - 195*f**4 + 720*f**3 - 700*f**2 = 0 for f.
0, 2, 35
Find p, given that 78*p**3 - 9*p**2 = 0.
0, 3/26
Let 11*c**3/4 + 109*c**2/8 + 19*c + 65/8 = 0. What is c?
-65/22, -1
Determine t so that 3*t**2 - 57*t + 270 = 0.
9, 10
Determine w so that -2*w**2/5 + 42*w/5 + 144/5 = 0.
-3, 24
Solve 2*v**4/9 + 1712*v**3/9 + 376496*v**2/9 + 1444928*v/3 + 1424672 = 0.
-422, -6
Solve -2*p**4 + 8*p**3 + 2*p**2 - 8*p = 0 for p.
-1, 0, 1, 4
Factor -i**3 - 66*i**2.
-i**2*(i + 66)
Factor q**3/5 + 24*q**2/5 + 119*q/5.
q*(q + 7)*(q + 17)/5
Determine f, given that 10*f**4 - 9*f**3 - 11*f**2 + 9*f + 1 = 0.
-1, -1/10, 1
Factor -2*m**3 - 2*m**2 + 10*m - 6.
-2*(m - 1)**2*(m + 3)
Solve -5*x**4 + 15*x**3 + 15*x**2 - 35*x - 30 = 0 for x.
-1, 2, 3
Let 9*y**2 + 263*y + 58 = 0. Calculate y.
-29, -2/9
Suppose -f**4 - 6*f**3 + f**2 + 6*f = 0. Calculate f.
-6, -1, 0, 1
Factor 4*q**2/5 - 8*q + 84/5.
4*(q - 7)*(q - 3)/5
Determine d so that 3*d**4 - 63*d**3 + 348*d**2 - 288*d = 0.
0, 1, 8, 12
Factor 4*v**2 - 720*v + 716.
4*(v - 179)*(v - 1)
Factor n**3/4 - 29*n**2/2 + 54*n.
n*(n - 54)*(n - 4)/4
Suppose -5*x**5 + 15*x**4 + 25*x**3 - 75*x**2 - 20*x + 60 = 0. What is x?
-2, -1, 1, 2, 3
Suppose -n**2 - 35*n - 66 = 0. What is n?
-33, -2
Find i such that -3*i**3/2 + 33*i**2/2 - 45*i = 0.
0, 5, 6
Suppose -2*s**2/3 - 98*s + 3140/3 = 0. Calculate s.
-157, 10
Find t, given that -t**3/2 - 8*t**2/3 + 2*t = 0.
-6, 0, 2/3
Factor -3*q**2 + 1938*q/5 - 387/5.
-3*(q - 129)*(5*q - 1)/5
Solve r**4 + 332*r**3 + 27222*r**2 - 55444*r + 27889 = 0 for r.
-167, 1
Factor -h**2/2 + 2867*h/2.
-h*(h - 2867)/2
Find m such that -m**4 + 5*m**3 + 10*m**2 - 20*m - 24 = 0.
-2, -1, 2, 6
Determine z, given that z**2 - 63*z - 64 = 0.
-1, 64
Solve -4*m**2 - 1304*m = 0 for m.
-326, 0
Factor -4*v**3 + 56*v**2 - 96*v.
-4*v*(v - 12)*(v - 2)
Determine y, given that -y**2/2 + 135*y/2 + 68 = 0.
-1, 136
Factor 2*f**3/7 + 18*f**2/7 - 290*f/7 - 306/7.
2*(f - 9)*(f + 1)*(f + 17)/7
Suppose 2*i**4/7 + 12*i**3/7 + 22*i**2/7 + 12*i/7 = 0. What is i?
-3, -2, -1, 0
What is s in -s**4 - 29*s**3 - 113*s**2 + 1649*s + 1734 = 0?
-17, -1, 6
Factor 2*h**3/5 + 1714*h**2/5 + 74630*h + 505750.
2*(h + 7)*(h + 425)**2/5
Solve u**3/6 - 427*u**2/3 - 2569*u/6 - 857/3 = 0 for u.
-2, -1, 857
Suppose -5*z**2 - 385*z - 380 = 0. Calculate z.
-76, -1
Solve -3*k**2/2 - 294*k + 591/2 = 0 for k.
-197, 1
Let -3*b**4/2 - 3*b**3 + 39*b**2/2 - 15*b = 0. What is b?
-5, 0, 1, 2
Find i, given that 2*i**2/17 - 1544*i/17 + 297992/17 = 0.
386
Suppose 4*q**3 - 48*q**2 + 140*q - 96 = 0. Calculate q.
1, 3, 8
Factor 2*w**4/9 - 4*w**3/9 - 6*w**2 - 104*w/9 - 56/9.
2*(w - 7)*(w + 1)*(w + 2)**2/9
Find x, given that -2*x**5/21 + 22*x**4/21 - 58*x**3/21 - 10*x**2/3 + 100*x/7 = 0.
-2, 0, 3, 5
Factor 4*b**5 - 52*b**4 + 48*b**3.
4*b**3*(b - 12)*(b - 1)
Factor -3*m**3 + 846*m**2 - 62100*m + 342792.
-3*(m - 138)**2*(m - 6)
Factor -p**3/10 - 3*p**2 + p/10 + 3.
-(p - 1)*(p + 1)*(p + 30)/10
Suppose -2*n**4/9 - 20*n**3/9 + 8*n**2/9 + 80*n/9 = 0. Calculate n.
-10, -2, 0, 2
Let 3*d**2 - 1025*d + 682 = 0. What is d?
2/3, 341
Let j**3/4 + 4*j**2 = 0. What is j?
-16, 0
Factor 3*l**2/8 - 39*l/4 + 507/8.
3*(l - 13)**2/8
Factor -4*k**3 + 56*k**2 + 196*k + 136.
-4*(k - 17)*(k + 1)*(k + 2)
Solve -3*u**5/2 - 17*u**4 - 107*u**3/2 - 58*u**2 - 14*u = 0.
-7, -2, -1/3, 0
Factor -6*p**2/11 + 1428*p/11 + 528.
-6*(p - 242)*(p + 4)/11
Let 2*v**2/13 - 500*v/13 + 31250/13 = 0. Calculate v.
125
Find k, given that 2*k**5/5 + 12*k**4/5 - 4*k**3 - 32*k**2/5 + 66*k/5 - 28/5 = 0.
-7, -2, 1
Suppose -8*l**5/3 + 26*l**4/3 + 38*l**3 + 106*l**2/3 + 14*l/3 - 4 = 0. Calculate l.
-1, 1/4, 6
Factor i**2 - 13*i - 90.
(i - 18)*(i + 5)
Factor 52*o**2/9 - 24*o + 32/9.
4*(o - 4)*(13*o - 2)/9
Let 2*l**2/13 - 2/13 = 0. What is l?
-1, 1
Factor -121*t**2/4 + 506*t - 2116.
-(11*t - 92)**2/4
Solve -3*b**5 + 33*b**4 - 93*b**3 + 51*b**2 + 96*b - 84 = 0 for b.
-1, 1, 2, 7
Factor 6*f**2/11 + 6582*f/11 - 6588/11.
6*(f - 1)*(f + 1098)/11
Determine a, given that 16*a**5 - 1292*a**4 + 26560*a**3 - 19200*a**2 = 0.
0, 3/4, 40
Suppose 2*p**4 + 2*p**3 - 14*p**2 - 26*p - 12 = 0. What is p?
-2, -1, 3
Solve 3*c**3 - 3*c**2 - 6*c = 0 for c.
-1, 0, 2
Suppose 2*d**5/5 + 38*d**4/5 + 46*d**3 + 554*d**2/5 + 112*d + 40 = 0. Calculate d.
-10, -5, -2, -1
Factor -j**4 - 42*j**3 - 172*j**2 + 474*j - 259.
-(j - 1)**2*(j + 7)*(j + 37)
Factor 33*n**3 + n**2.
n**2*(33*n + 1)
Factor -2*s**3 - 458*s**2 - 2228*s + 2688.
-2*(s - 1)*(s + 6)*(s + 224)
Determine m so that -34*m**3 + 20*m**2 + 198*m + 144 = 0.
-24/17, -1, 3
Determine u so that -u**5/2 - 19*u**4 + 40*u**3 - u**2 - 79*u/2 + 20 = 0.
-40, -1, 1
Solve g**4 - 432*g**3 + 47086*g**2 - 92880*g + 46225 = 0.
1, 215
Factor -2*h**4 - 58*h**3 - 378*h**2 + 810*h + 2700.
-2*(h - 3)*(h + 2)*(h + 15)**2
Factor 2*k**3/17 + 30*k**2/17 + 126*k/17 + 162/17.
2*(k + 3)**2*(k + 9)/17
Let -p**3/3 + 49*p**2 - 1776*p - 5476/3 = 0. What is p?
-1, 74
Factor 3*l**2 - 7488*l + 14964.
3*(l - 2494)*(l - 2)
Find k such that -k**5/3 + 61*k**4/3 + 21*k**3 - 61*k**2/3 - 62*k/3 = 0.
-1, 0, 1, 62
Solve -f**2/4 + 5*f/4 + 9 = 0.
-4, 9
Factor -c**3 - 83*c**2 - 1763*c - 1681.
-(c + 1)*(c + 41)**2
Let -5*g**5 - 10*g**4 + 10*g**2 + 5*g = 0. What is g?
-1, 0, 1
Factor d**3 - 85*d**2 + 394*d + 480.
(d - 80)*(d - 6)*(d + 1)
Suppose 2*o**5 + 142*o**4 + 2300*o**3 - 7772*o**2 + 8066*o - 2738 = 0. What is o?
-37, 1
Factor 2*z**3/13 - 6*z/13 + 4/13.
2*(z - 1)**2*(z + 2)/13
Factor 4*m**3/7 + 20*m**2/7 - 144*m/7.
4*m*(m - 4)*(m + 9)/7
Factor -7*i**5 + 24*i**4 - 9*i**3.
-i**3*(i - 3)*(7*i - 3)
Find f, given that -36*f**3 + 57804*f**2 - 38524*f + 6420 = 0.
1/3, 1605
Factor -2*c**4/3 + 76*c**3/3 + 766*c**2/3 - 9424*c - 92256.
-2*(c - 31)**2*(c + 12)**2/3
Factor -g**2 + 22*g + 23.
-(g - 23)*(g + 1)
Factor 7*k**4/2 - k**3 - 63*k**2/2 + 9*k.
k*(k - 3)*(k + 3)*(7*k - 2)/2
Factor -s**4 + 39*s**3 - 158*s**2 - 4512*s - 8064.
-(s - 24)**2*(s + 2)*(s + 7)
Suppose 3*z**2 - 33*z - 36 = 0. Calculate z.
-1, 12
Determine b so that -2*b**5/11 + 6*b**4/11 + 2*b**3/11 - 6*b**2/11 = 0.
-1, 0, 1, 3
Suppose 6*g**2/7 + 456*g/7 + 8664/7 = 0. Calculate g.
-38
Determine w so that 4*w**3 + 12*w**2 - 36*w + 20 = 0.
-5, 1
Suppose -2*m**4/11 + 12*m**3/11 - 14*m**2/11 - 12*m/11 + 16/11 = 0. Calculate m.
-1, 1, 2, 4
Solve 3*d**5 + 1878*d**4 + 391242*d**3 + 26991096*d**2 - 28174245*d - 54775974 = 0 