is n in 3*n**2 + 27*n + 24 = 0?
-8, -1
Find s such that 12*s**4 - 28048*s**3 + 16380028*s**2 + 10932488*s = 0.
-2/3, 0, 1169
Solve 2*m**4/21 + 4*m**3/7 + 10*m**2/21 - 8*m/7 = 0 for m.
-4, -3, 0, 1
Let -5*d**4 - 190*d**3 - 1285*d**2 + 3160*d - 1680 = 0. Calculate d.
-28, -12, 1
Factor -1444*n**2 - 2882*n + 12.
-2*(n + 2)*(722*n - 3)
Factor i**2/5 + 6*i/5 - 16/5.
(i - 2)*(i + 8)/5
Factor c**2 - 129*c + 128.
(c - 128)*(c - 1)
Suppose f**4/3 - 13*f**3/3 + 50*f**2/3 - 32*f/3 - 32 = 0. What is f?
-1, 4, 6
Factor 2*b**3/9 - 272*b**2/3 + 9248*b.
2*b*(b - 204)**2/9
Factor -x**2/5 - 12*x/5 + 13/5.
-(x - 1)*(x + 13)/5
Find j, given that 25*j**5 - 20*j**4 - 171*j**3 + 290*j**2 - 148*j + 24 = 0.
-3, 2/5, 1, 2
Suppose -3*x**2/2 - 15*x - 27/2 = 0. Calculate x.
-9, -1
Factor -5*c**5 - 20*c**4 - 20*c**3 + 10*c**2 + 25*c + 10.
-5*(c - 1)*(c + 1)**3*(c + 2)
Let -i**4/2 + 408*i**3 - 81584*i**2 - 672384*i - 1357952 = 0. What is i?
-4, 412
Factor -2*f**2/5 - 6*f + 68/5.
-2*(f - 2)*(f + 17)/5
Factor -p**2/3 - 688*p/3 - 118336/3.
-(p + 344)**2/3
Suppose -25*x**4 - 105*x**3 - 85*x**2 + 105*x + 110 = 0. Calculate x.
-11/5, -2, -1, 1
Factor 15*g**3/4 + 141*g**2/4 + 66*g + 21.
3*(g + 2)*(g + 7)*(5*g + 2)/4
Factor w**3 - 104*w**2 + 2597*w + 5618.
(w - 53)**2*(w + 2)
Suppose -4*t**4/5 + 32*t**3/5 - 68*t**2/5 - 8*t/5 + 96/5 = 0. Calculate t.
-1, 2, 3, 4
Let -y**5 - 19*y**4 - 99*y**3 - 81*y**2 = 0. What is y?
-9, -1, 0
Factor p**4/4 - 3*p**3 + 27*p**2/2 - 27*p + 81/4.
(p - 3)**4/4
Let g**2/3 - 236*g/3 - 239 = 0. What is g?
-3, 239
Let 5*t**2 + 100*t + 375 = 0. Calculate t.
-15, -5
Solve 2*a**5 + 2*a**4 - 200*a**3 + 712*a**2 - 672*a = 0 for a.
-12, 0, 2, 7
Factor -p**4/4 - 12*p**3 - 216*p**2 - 1728*p - 5184.
-(p + 12)**4/4
Factor 4*l**4 - 16*l**3 + 16*l**2.
4*l**2*(l - 2)**2
Factor -3*j**4 + 45*j**3 + 162*j**2 + 12*j - 216.
-3*(j - 18)*(j - 1)*(j + 2)**2
Determine j so that -4*j**2/5 + 968*j/5 - 964/5 = 0.
1, 241
Factor -2*u**2 - 360*u - 16200.
-2*(u + 90)**2
Determine j so that 5*j**5 - 41*j**4/3 + 13*j**3 - 5*j**2 + 2*j/3 = 0.
0, 1/3, 2/5, 1
Find c, given that 3*c**5 - 9*c**4 - 24*c**3 + 36*c**2 + 48*c = 0.
-2, -1, 0, 2, 4
Find o, given that -o**3/4 + 35*o**2/4 = 0.
0, 35
Find o such that 20*o**5 + 152*o**4 + 376*o**3 + 304*o**2 - 12*o - 72 = 0.
-3, -1, 2/5
Factor -2*f**2/7 + 6*f/7.
-2*f*(f - 3)/7
Determine u so that u**4 - 17*u**3 + 99*u**2 - 243*u + 216 = 0.
3, 8
What is f in -2*f**5/5 - 212*f**4/5 - 124*f**3 - 40*f**2 + 622*f/5 + 412/5 = 0?
-103, -2, -1, 1
Find o such that -o**5/5 + 22*o**4/5 + 72*o**3/5 + 74*o**2/5 + 5*o = 0.
-1, 0, 25
Factor 3*d**3 + 363*d**2 - 738*d.
3*d*(d - 2)*(d + 123)
Determine c, given that 3*c**3/7 - 1167*c**2/7 - 1170*c/7 = 0.
-1, 0, 390
What is k in 2*k**2/3 - 62*k/3 - 64/3 = 0?
-1, 32
Let -2*c**2 - 914*c - 6300 = 0. What is c?
-450, -7
Factor -2*h**2/5 - 48*h/5.
-2*h*(h + 24)/5
Determine l, given that 4*l**2 + 18008*l + 20268004 = 0.
-2251
Factor -j**4/5 - 57*j**3/5 - 781*j**2/5 + 957*j/5 + 1682/5.
-(j - 2)*(j + 1)*(j + 29)**2/5
Determine f, given that f**4/4 - 7*f**3/2 + 11*f**2 - 10*f = 0.
0, 2, 10
Find u, given that -14*u**5 - 766*u**4 + 1074*u**3 + 3718*u**2 + 1220*u - 672 = 0.
-56, -1, 2/7, 3
Suppose -30*k**5/11 + 114*k**4/11 - 126*k**3/11 + 30*k**2/11 + 12*k/11 = 0. What is k?
-1/5, 0, 1, 2
Suppose -4*t**2 - 100*t + 104 = 0. Calculate t.
-26, 1
What is u in 35*u**2/2 - 230*u + 65/2 = 0?
1/7, 13
Suppose -z**2/3 - 95*z/3 - 94/3 = 0. Calculate z.
-94, -1
Suppose -44*j**3 - 96*j**2 - 16*j = 0. What is j?
-2, -2/11, 0
Determine a, given that -5*a**5/6 + 7*a**4/3 + 14*a**3/3 - 5*a**2/3 - 23*a/6 - 2/3 = 0.
-1, -1/5, 1, 4
Suppose 4*l**5/5 - 16*l**4/5 + 12*l**3/5 + 16*l**2/5 - 16*l/5 = 0. What is l?
-1, 0, 1, 2
Factor -d**3/6 - 73*d**2/6 - 152*d.
-d*(d + 16)*(d + 57)/6
Solve -20*g**4 - 1380*g**3 + 2815*g**2 - 1770*g + 355 = 0.
-71, 1/2, 1
Factor k**2/7 - 65*k/7 - 50.
(k - 70)*(k + 5)/7
Factor 10*x**2 - 402*x + 392.
2*(x - 1)*(5*x - 196)
Let 2*o**3/19 + 186*o**2/19 + 4230*o/19 - 4418/19 = 0. What is o?
-47, 1
Factor 4*v**2 + 3360*v + 705600.
4*(v + 420)**2
Factor 2*f**4 - 48*f**3 + 90*f**2 - 44*f.
2*f*(f - 22)*(f - 1)**2
Factor 5*q**3 - 425*q**2 + 1640*q - 1620.
5*(q - 81)*(q - 2)**2
Suppose -4*s**4 - 3*s**3 + 5*s**2 + 3*s - 1 = 0. Calculate s.
-1, 1/4, 1
Find j such that 21*j**5/8 + 15*j**4/8 - 75*j**3/2 - 105*j**2/2 + 18*j = 0.
-3, -2, 0, 2/7, 4
Solve -2*h**5/3 - 10*h**4/3 + 2*h**3 + 30*h**2 + 36*h = 0.
-3, -2, 0, 3
Factor 3*y**2 - 63*y - 66.
3*(y - 22)*(y + 1)
What is t in 85*t**4/4 - 59*t**3 + 113*t**2/2 - 21*t + 9/4 = 0?
3/17, 3/5, 1
What is o in 27*o**4 - 96*o**3 + 101*o**2 - 36*o + 4 = 0?
2/9, 1/3, 1, 2
Factor -2*o**4/7 + 8*o**3 - 332*o**2/7 - 120*o - 450/7.
-2*(o - 15)**2*(o + 1)**2/7
Factor 2*t**5/9 + 8*t**4/3 + 8*t**3.
2*t**3*(t + 6)**2/9
Let 6*w**4 - 88*w**3 + 266*w**2 - 272*w + 88 = 0. What is w?
2/3, 1, 2, 11
Let -4*i**3 - 28*i**2 + 484*i + 3388 = 0. Calculate i.
-11, -7, 11
Let q**2/4 - 61*q/2 - 635/4 = 0. Calculate q.
-5, 127
Solve 6*d**5/13 + 2*d**4/13 - 8*d**3/13 = 0 for d.
-4/3, 0, 1
Solve -2*i**5 + 1316*i**4 - 217794*i**3 + 431648*i**2 - 215168*i = 0.
0, 1, 328
Factor 2*w**3/15 + 4*w**2/5 - 10*w/3 + 12/5.
2*(w - 2)*(w - 1)*(w + 9)/15
Let -u**4 + 4*u**3 - 2*u**2 - 4*u + 3 = 0. Calculate u.
-1, 1, 3
Factor 10*c**2/11 - 304*c/11 + 406/11.
2*(c - 29)*(5*c - 7)/11
Determine t so that 7*t**4/5 - 81*t**3/5 - 36*t**2/5 = 0.
-3/7, 0, 12
Suppose 4*p**5 + 16*p**4 - 876*p**3 - 936*p**2 + 51840*p - 93312 = 0. Calculate p.
-12, 2, 9
Factor 3*t**4 - 30*t**3 + 87*t**2 - 96*t + 36.
3*(t - 6)*(t - 2)*(t - 1)**2
Suppose -2*d**2 + 24*d + 90 = 0. Calculate d.
-3, 15
Determine s, given that -2*s**2/3 - 40*s/3 - 50 = 0.
-15, -5
Determine r, given that -21*r**3 + 344*r**2 - 423*r - 180 = 0.
-1/3, 12/7, 15
What is l in -36*l**4/5 + 348*l**3/5 + 152*l**2/5 - 304*l/5 - 32 = 0?
-2/3, 1, 10
Determine h so that -39*h**3 - 6*h**2 = 0.
-2/13, 0
Let -q**2 + 60*q + 124 = 0. Calculate q.
-2, 62
Factor -2*o**3/9 - 458*o**2/9 - 152*o/3.
-2*o*(o + 1)*(o + 228)/9
Factor 5*k**2 - 8695*k - 8700.
5*(k - 1740)*(k + 1)
Factor 5*s**2 + 2615*s - 2620.
5*(s - 1)*(s + 524)
Factor 1089*i**3 - 154*i**2 - 52*i + 8.
(9*i + 2)*(11*i - 2)**2
Solve 36*u**2/7 - 152*u/7 + 32/7 = 0.
2/9, 4
Suppose -5*y**2 - 10725*y = 0. Calculate y.
-2145, 0
Find s such that s**3/4 + 9*s**2/4 - 15*s/2 - 22 = 0.
-11, -2, 4
Find t such that 4*t**3/7 - 124*t**2/7 - 260*t/7 - 132/7 = 0.
-1, 33
Suppose 44*i**3 - 536*i**2 + 1680*i - 288 = 0. What is i?
2/11, 6
Solve -5*v**4 - 25*v**3 + 15*v**2 + 85*v + 50 = 0 for v.
-5, -1, 2
Suppose -v**2/2 + 13*v/2 = 0. What is v?
0, 13
Solve q**4/3 + 43*q**3/9 + 52*q**2/3 + 92*q/9 - 16 = 0.
-9, -4, -2, 2/3
Factor -2*q**2/7 - 2628*q/7 - 863298/7.
-2*(q + 657)**2/7
Determine z, given that -3*z**5 + 3*z**4 + 39*z**3 - 3*z**2 - 36*z = 0.
-3, -1, 0, 1, 4
Determine i, given that 2*i**3/23 - 62*i**2/23 + 172*i/23 - 112/23 = 0.
1, 2, 28
Let -2*s**5 + 42*s**4 - 38*s**3 - 42*s**2 + 40*s = 0. Calculate s.
-1, 0, 1, 20
Factor n**4/5 - 18*n**3/5 + 68*n**2/5 - 6*n - 117/5.
(n - 13)*(n - 3)**2*(n + 1)/5
Factor 3*c**5/4 + 3*c**4/2 - 9*c**3/2 - 15*c**2 - 57*c/4 - 9/2.
3*(c - 3)*(c + 1)**3*(c + 2)/4
Factor 3*y**3/5 - 801*y**2/5 + 71289*y/5 - 2114907/5.
3*(y - 89)**3/5
Solve w**4 + 3*w**3 + w**2 - 3*w - 2 = 0.
-2, -1, 1
Factor j**3/6 + 17*j**2/6 - 281*j/3 + 272/3.
(j - 16)*(j - 1)*(j + 34)/6
Find s such that -s**4/3 - 188*s**3/3 + 958*s**2/3 - 1348*s/3 + 193 = 0.
-193, 1, 3
Factor -2*y**3/7 - 120*y**2/7 + 254*y/7 + 372/7.
-2*(y - 3)*(y + 1)*(y + 62)/7
Factor 3*q**5/2 + 99*q**4 + 1530*q**3 - 3468*q**2.
3*q**2*(q - 2)*(q + 34)**2/2
Suppose -2*y**4/5 - 24*y**3/5 - 18*y**2 - 20*y = 0. Calculate y.
-5, -2, 0
What is d in 2*d**3/7 + 10*d**2/7 - 2*d/7 - 10/7 = 0?
-5, -1, 1
Factor 2*d**4 + 22*d**3 + 88*d**2 + 152*d + 96.
2*(d + 2)**2*(d + 3)*(d + 4)
Factor -2*q**3/13 - 60*q**2/13 - 166*q/13 - 108/13.
-2*(q + 1)*(q + 2)*(q + 27)/13
Find g, given that 30*g**5 - 2*g**4 - 270*g**3 - 102*g**2 + 368*g - 24 = 0.
-2, 1/15, 1, 3
Factor -3*i**3/7 + 345*i**2/7 + 1416*i/7 + 204.
-3*(i - 119)*(i + 2)**2/7
Factor -2*u**4/3 + 2*u**3 + 32*u**2/3 + 8*u.
-2*u*(u - 6)*(u + 1)*(u + 2)/3
Solve -98*t**5/13 - 42*t**4/13 + 1172*t**3/13 + 2072*t**2/13 + 720*t/13 + 64/13 = 0 for t.
-2, -2/7, -1/7, 4
Factor -3*a**4 + 9