13*i**5 - 102*i**4 + 140*i**3 + 24*i**2 = 0?
-2/13, 0, 2, 6
Solve -3*n**4/4 + 111*n**3/4 - 105*n**2/4 - 111*n/4 + 27 = 0 for n.
-1, 1, 36
Factor -4*t**3/5 + 128*t**2/5 + 268*t/5 + 136/5.
-4*(t - 34)*(t + 1)**2/5
Factor -5*w**5 + 15*w**4 - 15*w**3 + 5*w**2.
-5*w**2*(w - 1)**3
Find c, given that 28*c**3 + 928*c**2 - 2832*c + 1728 = 0.
-36, 6/7, 2
Factor -c**5 + 59*c**4 - 226*c**3 + 334*c**2 - 221*c + 55.
-(c - 55)*(c - 1)**4
Factor -y**3/6 + 14*y**2/3 + 19*y/6 - 1805/3.
-(y - 19)**2*(y + 10)/6
Factor 10*z**3 - 1975*z**2 + 5795*z + 7780.
5*(z - 4)*(z + 1)*(2*z - 389)
Let 25*i**4/2 + 235*i**3/2 + 45*i**2 = 0. What is i?
-9, -2/5, 0
Factor -2*k**3 + 104*k**2.
-2*k**2*(k - 52)
Factor -2*u**2/9 + 206*u/9 - 404/9.
-2*(u - 101)*(u - 2)/9
Factor -2*j**4 + 164*j**3 + 504*j**2 + 508*j + 170.
-2*(j - 85)*(j + 1)**3
Factor 2*o**3/19 + 4*o**2/19 - 58*o/19 - 60/19.
2*(o - 5)*(o + 1)*(o + 6)/19
Factor -2*b**2/9 + 40*b/9 + 14/3.
-2*(b - 21)*(b + 1)/9
Suppose -15*k**4/2 + 175*k**3/4 + 130*k**2 + 5*k - 40 = 0. What is k?
-2, -2/3, 1/2, 8
Factor c**2/3 + 355*c/3 - 356/3.
(c - 1)*(c + 356)/3
Factor -2*q**3 - 74*q**2 + 2*q + 74.
-2*(q - 1)*(q + 1)*(q + 37)
Solve 2*m**5/19 - 28*m**4/19 - 1068*m**3/19 + 3352*m**2/19 - 3398*m/19 + 60 = 0.
-19, 1, 30
Factor 2*p**2/3 - 1072*p/3.
2*p*(p - 536)/3
Solve -2*t**4 - 12*t**3 - 2*t**2 + 48*t + 40 = 0 for t.
-5, -2, -1, 2
Factor -5*s**2 - 340*s.
-5*s*(s + 68)
Solve -2*f**2/5 + 36*f/5 - 162/5 = 0.
9
Determine q so that -2*q**3/9 + 46*q**2/9 + 2*q/9 - 46/9 = 0.
-1, 1, 23
Find t such that 8*t**3 + 12864*t**2 - 12870*t + 3218 = 0.
-1609, 1/2
Determine p, given that -2*p**4/3 + p**3/3 + 11*p**2/3 - 10*p/3 = 0.
-5/2, 0, 1, 2
Solve 5*j**5 + 20*j**4 + 25*j**3 + 10*j**2 = 0 for j.
-2, -1, 0
Suppose 6*n**5 - 50*n**4 - 202*n**3/3 + 934*n**2/3 - 272*n + 72 = 0. Calculate n.
-3, 2/3, 1, 9
Factor 2*n**3/5 - 52*n**2/5 + 182*n/5 - 132/5.
2*(n - 22)*(n - 3)*(n - 1)/5
Determine a so that -24*a**4 + 1748*a**3 - 1392*a**2 - 3440*a - 1152 = 0.
-2/3, -1/2, 2, 72
Factor 4*k**4 - 36*k**3 + 120*k**2 - 176*k + 96.
4*(k - 3)*(k - 2)**3
Suppose -7*y**2 - 20781*y + 5938 = 0. What is y?
-2969, 2/7
What is y in -y**5 - 6*y**4 - 2*y**3 + 48*y**2 + 99*y + 54 = 0?
-3, -2, -1, 3
Determine u, given that 2*u**2/3 + 356*u/3 + 15842/3 = 0.
-89
Let 4*p**5 + 28*p**4 - 68*p**3 - 396*p**2 + 864*p - 432 = 0. What is p?
-6, 1, 3
Factor q**2/3 - 29*q/3 - 10.
(q - 30)*(q + 1)/3
Factor -5*k**3 + 35*k**2 + 100*k - 480.
-5*(k - 8)*(k - 3)*(k + 4)
Factor -169*f**4 + 208*f**3 - 64*f**2.
-f**2*(13*f - 8)**2
Find u such that u**5 + 32*u**4 + 61*u**3 + 30*u**2 = 0.
-30, -1, 0
Let -363*i**4/2 - 385*i**3/2 - 67*i**2/6 - i/6 = 0. Calculate i.
-1, -1/33, 0
Suppose 4*z**4 + 36*z**3 - 88*z**2 = 0. Calculate z.
-11, 0, 2
Suppose t**3/2 - t**2 - 39*t/2 - 36 = 0. What is t?
-3, 8
Factor -m**4/3 - m**3 + m**2/3 + m.
-m*(m - 1)*(m + 1)*(m + 3)/3
Factor 4*q**5/9 + 44*q**4/9 + 172*q**3/9 + 292*q**2/9 + 224*q/9 + 64/9.
4*(q + 1)**3*(q + 4)**2/9
What is o in 3*o**5/8 - 3*o**4 + 27*o**3/8 + 75*o**2/4 - 24*o - 36 = 0?
-2, -1, 3, 4
Solve 4*u**4/3 + 524*u**3/3 + 1036*u**2/3 + 172*u = 0 for u.
-129, -1, 0
What is f in 30*f**4 - 267*f**3 + 783*f**2 - 729*f - 81 = 0?
-1/10, 3
Find i, given that -3*i**4 - 21*i**3 + 30*i**2 + 48*i = 0.
-8, -1, 0, 2
Factor 5*n**2/3 + 4110*n + 2533815.
5*(n + 1233)**2/3
Suppose -y**3/4 + 4629*y**2/4 - 7142547*y/4 + 3673650007/4 = 0. What is y?
1543
Factor -s**3/3 - 16*s**2/3 - 5*s.
-s*(s + 1)*(s + 15)/3
Factor -3*s**2 + 522*s.
-3*s*(s - 174)
Suppose -l**3/2 + 83*l**2/2 + 358*l + 546 = 0. Calculate l.
-6, -2, 91
Factor 5*y**3/4 - 75*y**2/4 - 85*y/2.
5*y*(y - 17)*(y + 2)/4
Find n, given that -2*n**2/5 - 24*n/5 - 22/5 = 0.
-11, -1
Factor 3*n**4 + 246*n**3 + 471*n**2 - 720*n.
3*n*(n - 1)*(n + 3)*(n + 80)
Solve -3*m**2 - 99*m - 690 = 0 for m.
-23, -10
Factor -4*w**3 + 2940*w**2 + 5892*w + 2948.
-4*(w - 737)*(w + 1)**2
Solve 12*d**3 - 112*d**2/5 - 16*d/5 = 0 for d.
-2/15, 0, 2
Factor 26*i**2/9 - 100*i/9 - 16/9.
2*(i - 4)*(13*i + 2)/9
What is i in -2*i**5/5 + 22*i**4/5 + 94*i**3/5 - 134*i**2/5 - 92*i/5 + 112/5 = 0?
-4, -1, 1, 14
Solve 3*x**5 - x**4 - 24*x**3 + 8*x**2 + 48*x - 16 = 0.
-2, 1/3, 2
Suppose -4*k**3 - 172*k**2 + 176*k = 0. What is k?
-44, 0, 1
Factor -2*g**5/15 - 32*g**4/15 + 224*g**3/5.
-2*g**3*(g - 12)*(g + 28)/15
Factor -4*d**4 + 144*d**3 - 396*d**2 - 16*d + 528.
-4*(d - 33)*(d - 2)**2*(d + 1)
Factor -l**2/4 - 31*l - 961.
-(l + 62)**2/4
Factor 2*l**2/9 - 10*l/9 + 8/9.
2*(l - 4)*(l - 1)/9
Factor 5*y**5 + 85*y**4 + 510*y**3 + 1280*y**2 + 1120*y.
5*y*(y + 2)*(y + 4)**2*(y + 7)
Factor -5*i**3 + 155*i**2 - 555*i + 405.
-5*(i - 27)*(i - 3)*(i - 1)
Factor a**2/5 - 11*a/5 + 24/5.
(a - 8)*(a - 3)/5
Factor -2*m**3/5 - 242*m**2/5 - 1822*m/5 - 1582/5.
-2*(m + 1)*(m + 7)*(m + 113)/5
Factor 6*a**4 + 33*a**3 + 36*a**2 - 27*a.
3*a*(a + 3)**2*(2*a - 1)
Factor s**3/7 - 4*s**2/7 - 100*s - 896.
(s - 32)*(s + 14)**2/7
Determine i, given that -4*i**2 - 288*i - 560 = 0.
-70, -2
Factor x**4 - 3*x**3 - 78*x**2 + 80*x.
x*(x - 10)*(x - 1)*(x + 8)
Find k such that 4*k**4 - 32*k**3 - 212*k**2 + 240*k = 0.
-5, 0, 1, 12
Factor -12*i**3 + 1164*i**2 - 1155*i + 288.
-3*(i - 96)*(2*i - 1)**2
What is r in r**4 - 2*r**3 - 13*r**2 - 10*r = 0?
-2, -1, 0, 5
Factor 2*g**3/7 + 12*g**2/7 - 32*g/7.
2*g*(g - 2)*(g + 8)/7
Factor 2*v**5 - 16*v**4 + 24*v**3 + 4*v**2 - 26*v + 12.
2*(v - 6)*(v - 1)**3*(v + 1)
Solve -3*w**4 + 159*w**3 + 495*w**2 + 501*w + 168 = 0 for w.
-1, 56
Let 28*b**4 - 412*b**3 + 104*b**2 + 2416*b + 672 = 0. What is b?
-2, -2/7, 3, 14
Factor -16*q**2/3 - 140*q/3 - 72.
-4*(q + 2)*(4*q + 27)/3
Determine q, given that 50*q**2/3 + 3840*q + 221184 = 0.
-576/5
Factor -3*b**3 + 3*b.
-3*b*(b - 1)*(b + 1)
Factor 4*o**5 - 24*o**4 + 52*o**3 - 48*o**2 + 16*o.
4*o*(o - 2)**2*(o - 1)**2
Solve -3*l**3/4 + 249*l**2/4 + 129*l/2 - 126 = 0 for l.
-2, 1, 84
Factor -2*g**2/9 + 44*g/9 + 208/9.
-2*(g - 26)*(g + 4)/9
Factor -5*z**4 + 55*z**3 - 175*z**2 + 125*z.
-5*z*(z - 5)**2*(z - 1)
Factor 2*l**4 + 5*l**3 + 3*l**2 - l - 1.
(l + 1)**3*(2*l - 1)
Suppose -h**2/5 - 516*h/5 - 1539/5 = 0. Calculate h.
-513, -3
Factor 3*n**5 - 3*n**4 - 9*n**3 + 3*n**2 + 6*n.
3*n*(n - 2)*(n - 1)*(n + 1)**2
Suppose 5*r**4 - 105*r**3 + 495*r**2 + 605*r = 0. Calculate r.
-1, 0, 11
Factor -27*v**4/2 + 294*v**3 - 3135*v**2/2 - 363*v.
-3*v*(v - 11)**2*(9*v + 2)/2
Find r, given that -24*r**2 - 20*r = 0.
-5/6, 0
Find k such that -2*k**5 - 52*k**4 + 804*k**3 - 3888*k**2 + 8046*k - 6156 = 0.
-38, 3
Factor -m**2/4 - 7*m.
-m*(m + 28)/4
Factor -2*q**2/17 - 106*q/17 - 104/17.
-2*(q + 1)*(q + 52)/17
Find w, given that -3*w**2/4 + 87*w/2 + 90 = 0.
-2, 60
Let 14*h**4 - 31*h**3 + 4*h**2 + 4*h = 0. Calculate h.
-2/7, 0, 1/2, 2
Suppose -4*v**5 - 16*v**4 + 28*v**3 + 88*v**2 - 96*v = 0. What is v?
-4, -3, 0, 1, 2
Factor -3*t**2/5 + 9*t + 48/5.
-3*(t - 16)*(t + 1)/5
Find f such that -2*f**3 - 48*f**2 - 360*f - 864 = 0.
-12, -6
Factor -2*i**4/3 + 56*i**3/3 - 148*i**2 + 728*i/3 - 338/3.
-2*(i - 13)**2*(i - 1)**2/3
Find v, given that -2*v**2/9 - 2258*v/9 + 2260/9 = 0.
-1130, 1
Let 4*g**3 + 24*g**2 - 28*g = 0. Calculate g.
-7, 0, 1
Determine n, given that -n**2 + 1958*n - 958441 = 0.
979
Factor x**3/3 - 11*x**2 - 34*x/3.
x*(x - 34)*(x + 1)/3
Factor n**3/7 - 22*n**2/7 - 104*n/7.
n*(n - 26)*(n + 4)/7
Factor -k**2 + 107*k - 312.
-(k - 104)*(k - 3)
Let -3*h**5/5 + 327*h**4/5 - 324*h**3/5 = 0. Calculate h.
0, 1, 108
What is o in o**3 - 40*o**2 - 221*o - 180 = 0?
-4, -1, 45
Find p, given that -45*p**5 + 231*p**4 + 375*p**3 - 3699*p**2 + 5346*p - 648 = 0.
-4, 2/15, 3
Factor q**3/5 + 12*q**2/5 + 39*q/5 + 28/5.
(q + 1)*(q + 4)*(q + 7)/5
Factor -5*p**5 + 230*p**4 + 280*p**3 - 2170*p**2 + 2605*p - 940.
-5*(p - 47)*(p - 1)**3*(p + 4)
Let 18*n**5/7 - 96*n**4/7 + 66*n**3/7 + 348*n**2/7 - 552*n/7 + 144/7 = 0. Calculate n.
-2, 1/3, 2, 3
Factor -n**3 + 127*n**2 - 968*n + 1904.
-(n - 119)*(n - 4)**2
Factor -2*q**3/3 - 6604*q**2/3 - 13202*q/3 - 2200.
-2*(q + 1)**2*(q + 3300)/3
Determine d, given that 4*d**3 + 84*d**2 + 80*d = 0.
-20, -1, 0
Factor 2*j**3 - 22*j**2 + 32*j + 168.
2*(j - 7)*(j - 6)*(j + 2)
Determine q, given that 2*q**5/3 - 2*q**4 + 4*q**3/3 + 4*q**2/3 - 2*q + 2/3 = 0.
-1, 1
Factor d**2/8 - 7673*d/4 + 58874929/8.
(d - 7673)**2/8
Factor -h**2/11 - 3*h/11 + 40/11.
-(h - 5)