.
-4, 1, 15
Find m such that 5*m**4 - 15*m**3 - 30*m**2 + 140*m - 120 = 0.
-3, 2
Suppose -2*c**2/3 - 10816*c/3 - 14623232/3 = 0. Calculate c.
-2704
Factor a**2 - 78*a + 77.
(a - 77)*(a - 1)
Solve 4*m**3 + 8*m**2 - 12*m = 0 for m.
-3, 0, 1
Let 3*k**2 + 156*k = 0. Calculate k.
-52, 0
Find x such that -2*x**2/5 - 8*x/5 + 2 = 0.
-5, 1
Factor 8*w**3 - 48*w**2 + 42*w - 10.
2*(w - 5)*(2*w - 1)**2
Factor 5*r**2 - 40*r - 45.
5*(r - 9)*(r + 1)
Factor -2*q**2/15 + 16*q/15 + 26/3.
-2*(q - 13)*(q + 5)/15
What is d in -1200*d**2 - 120*d - 3 = 0?
-1/20
What is m in 15*m**3 + 140*m**2 - 285*m - 110 = 0?
-11, -1/3, 2
Determine n so that -15*n**4/4 + 37*n**3/2 + 757*n**2/4 + 10*n - 25 = 0.
-5, -2/5, 1/3, 10
Let 2*f**4 + 302*f**3 + 2604*f**2 + 6848*f + 4544 = 0. Calculate f.
-142, -4, -1
Determine x so that -2*x**2/7 + 66*x/7 - 64/7 = 0.
1, 32
Factor u**3/3 + 46*u**2/3 - 95*u/3 + 16.
(u - 1)**2*(u + 48)/3
Let 3*x**3 + 726*x**2 - 2940*x + 2952 = 0. Calculate x.
-246, 2
Let 22*j**5 - 58*j**4 - 156*j**3 + 128*j**2 + 64*j = 0. Calculate j.
-2, -4/11, 0, 1, 4
Determine i so that 3*i**3 - 12*i**2 - 9*i + 54 = 0.
-2, 3
What is a in 2*a**4 + 46*a**3 - 158*a**2 - 46*a + 156 = 0?
-26, -1, 1, 3
Solve 25*a**2 + 160*a - 105 = 0.
-7, 3/5
Factor -2*c**2/11 - 24*c/11 + 40.
-2*(c - 10)*(c + 22)/11
Find o such that -2*o**4 + 18*o**3 + 24*o**2 - 40*o = 0.
-2, 0, 1, 10
Factor -l**4/9 - 2*l**3/9 - l**2/9.
-l**2*(l + 1)**2/9
Factor l**3 - l.
l*(l - 1)*(l + 1)
Solve -2*d**3/11 + 4*d**2 - 280*d/11 + 400/11 = 0 for d.
2, 10
Factor -5*n**2 + 1095*n + 1100.
-5*(n - 220)*(n + 1)
Factor 4*u**3 + 112*u**2 + 108*u.
4*u*(u + 1)*(u + 27)
Factor -8*q**4 - 68*q**3 - 88*q**2 - 28*q.
-4*q*(q + 1)*(q + 7)*(2*q + 1)
Factor r**3/4 - 9*r**2/4 - 25*r/4 + 33/4.
(r - 11)*(r - 1)*(r + 3)/4
Suppose -15*q**5/2 + 115*q**4/2 - 155*q**3/2 + 25*q**2/2 + 15*q = 0. Calculate q.
-1/3, 0, 1, 6
Factor -4*s**4 - 20*s**3 + 272*s**2 - 720*s + 576.
-4*(s - 3)*(s - 2)**2*(s + 12)
Factor 5*g**4 + 95*g**3.
5*g**3*(g + 19)
Factor -2*i**3/13 + 88*i**2/13 - 402*i/13 + 36.
-2*(i - 39)*(i - 3)*(i - 2)/13
Find s, given that 2*s**4/7 - 12*s**3/7 + 8*s**2/7 + 12*s/7 - 10/7 = 0.
-1, 1, 5
Let z**4/6 - 28*z**3/3 + 392*z**2/3 = 0. What is z?
0, 28
Factor -3*g**3 + 696*g**2 - 2748*g + 2736.
-3*(g - 228)*(g - 2)**2
What is w in -2*w**3/7 + 118*w**2/7 + 762*w/7 + 1170/7 = 0?
-3, 65
Find d such that -7*d**4/4 - 417*d**3/4 + 45*d**2 = 0.
-60, 0, 3/7
Factor -2*z**2/11 + 98*z/11 - 96/11.
-2*(z - 48)*(z - 1)/11
Let 2*f**2/7 + 7774*f/7 = 0. Calculate f.
-3887, 0
Solve -a**4/2 + 11*a**3/2 + 15*a**2 - 22*a - 52 = 0.
-2, 2, 13
What is j in -2*j**2/5 - 912*j/5 + 914/5 = 0?
-457, 1
Factor 2*z**3/9 - 52*z**2/9 - 118*z/9 + 56/3.
2*(z - 28)*(z - 1)*(z + 3)/9
Factor -49*r**5/8 - 1967*r**4/4 - 27043*r**3/2 - 136669*r**2 - 262288*r - 140608.
-(r + 26)**3*(7*r + 8)**2/8
Factor -2*o**3 + 182*o**2 - 5504*o + 55296.
-2*(o - 32)**2*(o - 27)
What is b in -2*b**4 - 112*b**3 - 1764*b**2 + 129654 = 0?
-21, 7
Find p such that 20*p**4 - 735*p**3 + 6275*p**2 + 8835*p + 1805 = 0.
-1, -1/4, 19
Let 3*y**5/7 - 102*y**4/7 - 12*y**3/7 + 408*y**2/7 = 0. Calculate y.
-2, 0, 2, 34
Suppose 14*v**4 - 102*v**3 + 112*v**2 - 24*v = 0. Calculate v.
0, 2/7, 1, 6
Find f, given that 5*f**4 + 25*f**3 + 25*f**2 - 25*f - 30 = 0.
-3, -2, -1, 1
Find o, given that o**5 - 160*o**4 - 650*o**3 - 980*o**2 - 655*o - 164 = 0.
-1, 164
Factor -n**2/2 + 644*n - 207368.
-(n - 644)**2/2
Factor -5*a**3 - 95*a**2 - 240*a.
-5*a*(a + 3)*(a + 16)
Find h, given that -h**5/3 - 5*h**4/3 + 8*h**3/3 + 44*h**2/3 - 32*h/3 - 64/3 = 0.
-4, -1, 2
Let -5*v**3 - 175*v**2 - 1760*v - 3840 = 0. What is v?
-16, -3
Factor -d**2 + 687*d - 686.
-(d - 686)*(d - 1)
Solve -8*l**5/5 + 128*l**4/15 + 454*l**3/15 + 148*l**2/5 + 158*l/15 + 16/15 = 0.
-1, -1/2, -1/6, 8
Determine b so that -2*b**4/5 - 79*b**3/5 + 41*b**2/5 + 8*b = 0.
-40, -1/2, 0, 1
Let -16*w**4/3 - 872*w**3 + 1317*w**2 - 1484*w/3 + 55 = 0. What is w?
-165, 1/4, 1
Suppose b**3/5 + 16*b**2/5 + 13*b/5 - 6 = 0. What is b?
-15, -2, 1
Factor 2*v**3/5 - 226*v**2/5 + 664*v/5 - 88.
2*(v - 110)*(v - 2)*(v - 1)/5
Factor 16*u**2/3 - 142*u/3 - 60.
2*(u - 10)*(8*u + 9)/3
Factor -5*d**5 - 95*d**4 - 45*d**3 + 755*d**2 - 970*d + 360.
-5*(d - 1)**3*(d + 4)*(d + 18)
Let -4*c**4/5 - 212*c**3/5 - 40*c**2 + 416*c/5 = 0. Calculate c.
-52, -2, 0, 1
Find p such that 4*p**4 - 132*p**3 - 432*p**2 - 16*p + 576 = 0.
-2, 1, 36
Factor -4*r**3 - 1792*r**2 - 198900*r + 405000.
-4*(r - 2)*(r + 225)**2
Find w such that -w**2/3 - 7*w = 0.
-21, 0
Solve 12*u**5 + 24*u**4 + 3*u**3 - 15*u**2 - 3*u + 3 = 0 for u.
-1, 1/2
Let 2*m**4/7 + 2*m**3 - 122*m**2/7 - 2*m + 120/7 = 0. Calculate m.
-12, -1, 1, 5
Factor j**3/3 + 57*j**2 + 168*j.
j*(j + 3)*(j + 168)/3
Find s such that 2*s**4 + 10*s**3 - 64*s**2 + 72*s = 0.
-9, 0, 2
Factor -u**3 - 5*u**2 - 6*u.
-u*(u + 2)*(u + 3)
Suppose -3*m**5 - 72*m**4 - 234*m**3 + 156*m**2 + 693*m - 540 = 0. What is m?
-20, -3, 1
Factor -2*i**5/7 - 34*i**4/7 - 16*i**3 - 104*i**2/7.
-2*i**2*(i + 2)**2*(i + 13)/7
Factor -2*r**2/3 - 704*r - 185856.
-2*(r + 528)**2/3
Determine d so that 4*d**3 - 12*d**2 - 64*d - 48 = 0.
-2, -1, 6
Factor 2*d**4/3 + 4*d**3 - 2*d**2/3 - 4*d.
2*d*(d - 1)*(d + 1)*(d + 6)/3
Find s, given that 2*s**3/3 + 154*s**2/3 + 98*s - 150 = 0.
-75, -3, 1
Suppose -50*r**2/11 + 1680*r/11 - 14112/11 = 0. What is r?
84/5
Factor 2*b**3 + 92*b**2 + 418*b + 328.
2*(b + 1)*(b + 4)*(b + 41)
Factor -6*t**4 - 25*t**3 - 22*t**2 - 3*t.
-t*(t + 1)*(t + 3)*(6*t + 1)
Find k such that -6*k**4 + 46*k**3 + 74*k**2 - 14*k - 36 = 0.
-1, 2/3, 9
Factor -2*s**5 + 3*s**4 - s**2.
-s**2*(s - 1)**2*(2*s + 1)
Let 2*n**2 - 928*n - 930 = 0. Calculate n.
-1, 465
Let z**4 - 127*z**3 - 259*z**2 + 127*z + 258 = 0. What is z?
-2, -1, 1, 129
Solve 2*u**2/7 + 12*u/7 + 18/7 = 0 for u.
-3
Determine x, given that -2*x**2/7 - 1152*x/7 - 1150/7 = 0.
-575, -1
Find b, given that -3*b**3 + 1626*b**2/5 - 2253*b/5 + 642/5 = 0.
2/5, 1, 107
Factor 4*u**2 - 60*u - 136.
4*(u - 17)*(u + 2)
Factor -l**3/8 - l**2 - 11*l/8 + 5/2.
-(l - 1)*(l + 4)*(l + 5)/8
Factor -a**5 - 9*a**4 - 12*a**3 + 80*a**2 + 192*a.
-a*(a - 3)*(a + 4)**3
Factor 3*s**3 - 87*s**2 - 1026*s.
3*s*(s - 38)*(s + 9)
Factor 5*b**5 - 285*b**4 - 1505*b**3 - 2755*b**2 - 2160*b - 620.
5*(b - 62)*(b + 1)**3*(b + 2)
Factor 2*l**3/3 + 8*l**2/3.
2*l**2*(l + 4)/3
Find d, given that -5*d**3 + 40*d**2 - 35*d = 0.
0, 1, 7
Factor 3*z**2 + 6*z + 3.
3*(z + 1)**2
Factor -5*t**2 - 1390*t - 96605.
-5*(t + 139)**2
Find o such that o**2/2 + 1059*o/2 - 1061 = 0.
-1061, 2
Factor -v**3/5 - 4*v**2/5 + 19*v/5 - 14/5.
-(v - 2)*(v - 1)*(v + 7)/5
Factor -4*b**2/3 - 76*b/3 - 136/3.
-4*(b + 2)*(b + 17)/3
Let 3*z**5 + 15*z**4 - 60*z**2 - 48*z = 0. Calculate z.
-4, -2, -1, 0, 2
Factor 2*g**3/9 - 2*g**2/3 - 2*g + 6.
2*(g - 3)**2*(g + 3)/9
Determine x so that x**3/3 + 4*x**2 + 35*x/3 = 0.
-7, -5, 0
Factor 5*i**3 - 420*i**2 - 855*i - 430.
5*(i - 86)*(i + 1)**2
Factor 8*v**2/3 - 150*v + 112/3.
2*(v - 56)*(4*v - 1)/3
Solve -p**4 + 12*p**3 - 41*p**2 + 42*p = 0 for p.
0, 2, 3, 7
Let -4*j**3 - 1464*j**2 - 178608*j - 7263392 = 0. Calculate j.
-122
Solve 2*w**2/11 + 54*w/11 + 144/11 = 0 for w.
-24, -3
Factor 2*f**3/5 - 12*f**2/5 + 24*f/5 - 16/5.
2*(f - 2)**3/5
Factor -2*x**2/3 + 14*x.
-2*x*(x - 21)/3
Solve 3*s**4 + 36*s**3 + 156*s**2 + 288*s + 192 = 0 for s.
-4, -2
Factor -2*n**2/7 - 10*n + 72/7.
-2*(n - 1)*(n + 36)/7
Factor -k**3/8 + 39*k**2/8 + k/2 - 39/2.
-(k - 39)*(k - 2)*(k + 2)/8
Factor 3*q**3 - 34*q**2 + 67*q - 36.
(q - 9)*(q - 1)*(3*q - 4)
Solve 9*m**4 - 93*m**3 + 237*m**2 - 195*m + 42 = 0 for m.
1/3, 1, 2, 7
Suppose 5*w**3 - 120*w**2 - 395*w - 270 = 0. What is w?
-2, -1, 27
Suppose -2*z**5/11 + 50*z**4/11 + 2072*z**3/11 - 6536*z**2/11 + 4416*z/11 = 0. What is z?
-24, 0, 1, 2, 46
Find b such that -2*b**2/11 + 14*b/11 + 60/11 = 0.
-3, 10
Suppose -3*s**2 + 792*s = 0. What is s?
0, 264
Factor w**5 - 3*w**4 - 62*w**3 - 96*w**2 + 160*w.
w*(w - 10)*(w - 1)*(w + 4)**2
Factor -h**2/4 - 1091*h - 1190281.
-(h + 2182)**2/4
Let h**4/5 - 24*h**3 - 122*h**2/5 + 24*h + 121/5 = 0. Calculate h.
-1, 1, 121
Let 2*h**2 - 7*h = 0. What is h?
0, 7/2
Factor x**3/6 + 404*x**2/3 + 81608*x/3.
x*(x + 404)**2/6
Find w such that 605*w**3 - 10945*w**2 + 65575*w - 130235 = 0.
61/11, 7
What is y in 4*y**2 - 12*y = 0?
0, 3
