 22)**2*(u - 2)/4
Factor 2*m**5/7 - 2*m**4/7 - 18*m**3/7 - 22*m**2/7 - 8*m/7.
2*m*(m - 4)*(m + 1)**3/7
Factor 4*h**2/3 + 17*h + 12.
(h + 12)*(4*h + 3)/3
Suppose -25*o**4 - 910*o**3 - 335*o**2 + 910*o + 360 = 0. What is o?
-36, -1, -2/5, 1
Factor 32*t**4/3 - 21424*t**3/3 + 3607202*t**2/3 - 2383420*t + 1188150.
2*(t - 1)**2*(4*t - 1335)**2/3
Let 20*d**3 - 8072*d**2 + 812848*d + 326432 = 0. What is d?
-2/5, 202
Suppose v**4/4 + 17*v**3/2 + 57*v**2 - 281*v/2 + 299/4 = 0. What is v?
-23, -13, 1
Suppose -2*y**3/9 + 88*y**2/9 + 1048*y/9 + 192 = 0. Calculate y.
-8, -2, 54
Factor -8*f**3/9 - 2*f**2/9 + 2*f/3.
-2*f*(f + 1)*(4*f - 3)/9
Factor -2*l**3 + 712*l**2 - 64074*l + 125316.
-2*(l - 177)**2*(l - 2)
Determine j so that 24*j**2 + 27*j = 0.
-9/8, 0
Let 2*z**2/13 + 24*z/13 - 378/13 = 0. What is z?
-21, 9
Solve -z**3/3 - 682*z**2 - 348843*z = 0.
-1023, 0
Let -v**4 - v**3 = 0. Calculate v.
-1, 0
What is n in n**3 - 325*n**2 - 654*n = 0?
-2, 0, 327
Find t, given that 2*t**2/9 + 560*t/9 = 0.
-280, 0
Factor -2*u**4/17 - 20*u**3/17 - 48*u**2/17 - 44*u/17 - 14/17.
-2*(u + 1)**3*(u + 7)/17
Factor -2*y**5/5 + 2*y**4 - 14*y**3/5 + 6*y**2/5.
-2*y**2*(y - 3)*(y - 1)**2/5
Find t such that 3*t**3/5 + 33*t**2/5 + 78*t/5 + 48/5 = 0.
-8, -2, -1
Suppose 3*u**3 + 72*u**2 + 297*u - 1620 = 0. Calculate u.
-15, -12, 3
Solve 5*b**5 + 275*b**4 + 1470*b**3 - 67660*b**2 + 127160*b = 0.
-34, 0, 2, 11
Solve 2*t**2/5 - 11482*t/5 - 11484/5 = 0 for t.
-1, 5742
Factor -3*b**2 - 591*b + 1194.
-3*(b - 2)*(b + 199)
Let 2*a**3 + 96*a**2 - 102*a - 196 = 0. What is a?
-49, -1, 2
Solve 6*o**3/5 + 813*o**2/5 - 3768*o/5 + 336 = 0.
-140, 1/2, 4
Factor -2*d**3/3 - 280*d**2 + 562*d - 844/3.
-2*(d - 1)**2*(d + 422)/3
Let -2*d**5/7 - 16*d**4/7 + 14*d**3 - 8*d**2/7 - 360*d/7 + 288/7 = 0. Calculate d.
-12, -2, 1, 2, 3
Factor -n**3/9 - 11*n**2/9 - 26*n/9 - 16/9.
-(n + 1)*(n + 2)*(n + 8)/9
Factor 15*u**4 + 110*u**3 + 160*u**2 - 160*u.
5*u*(u + 4)**2*(3*u - 2)
Factor p**3/4 - 375*p**2/4.
p**2*(p - 375)/4
Determine k, given that -2*k**4/7 + 2*k**3/7 + 8*k**2 - 152*k/7 + 96/7 = 0.
-6, 1, 2, 4
Find v such that 57*v**3/5 - 168*v**2/5 + 108*v/5 = 0.
0, 18/19, 2
Factor z**2/4 + 133*z/4 + 195/2.
(z + 3)*(z + 130)/4
What is m in 2*m**3 + 1108*m**2 + 154560*m + 304704 = 0?
-276, -2
Factor -2*z**3/3 - 50*z**2/3 - 238*z/3 - 190/3.
-2*(z + 1)*(z + 5)*(z + 19)/3
Let -2*p**5 - 42*p**4 - 316*p**3 - 936*p**2 - 432*p + 1728 = 0. What is p?
-6, -4, 1
Factor -5*x**2 - 50*x - 80.
-5*(x + 2)*(x + 8)
Factor 2*y**2/5 - 408*y/5 + 406/5.
2*(y - 203)*(y - 1)/5
Let -21*h**3 - 78*h**2 - 39*h + 18 = 0. Calculate h.
-3, -1, 2/7
Determine q, given that -1690*q**4/3 - 6656*q**3/3 - 10576*q**2/5 + 2048*q/15 - 32/15 = 0.
-2, 2/65
Suppose -l**3/2 + 40*l**2 + 333*l/2 + 126 = 0. What is l?
-3, -1, 84
Suppose -s**5/4 + 13*s**4/4 - 41*s**3/4 + 47*s**2/4 - 9*s/2 = 0. Calculate s.
0, 1, 2, 9
Factor 4*h**2 + 356*h + 696.
4*(h + 2)*(h + 87)
Factor z**3/4 + 13*z**2/4 - z/4 - 13/4.
(z - 1)*(z + 1)*(z + 13)/4
Suppose -2*z**4 - 34*z**3 - 30*z**2 + 34*z + 32 = 0. What is z?
-16, -1, 1
Suppose 2*o**3/13 - 222*o**2/13 - 450*o/13 - 226/13 = 0. Calculate o.
-1, 113
Factor 2*f**4/3 + 488*f**3/3 + 14884*f**2 + 1815848*f/3 + 27691682/3.
2*(f + 61)**4/3
Factor w**3 - 3549*w**2 - 7101*w - 3551.
(w - 3551)*(w + 1)**2
Solve -2*r**3/3 - 722*r**2/3 - 21840*r - 21600 = 0.
-180, -1
Determine w so that 12*w**3/13 - 98*w**2/13 + 16*w - 32/13 = 0.
1/6, 4
Let -o**4/7 - 8*o**3/7 + 3*o**2 + 8*o/7 - 20/7 = 0. What is o?
-10, -1, 1, 2
Factor 50*h**3 - 30*h**2 - 36*h + 16.
2*(h - 1)*(5*h - 2)*(5*h + 4)
Solve -f**4/6 - 5*f**3 + 124*f**2/3 - 67*f + 185/6 = 0.
-37, 1, 5
Factor y**5/2 + 1910*y**4 - 7643*y**3/2 + 1911*y**2.
y**2*(y - 1)**2*(y + 3822)/2
Factor -2*s**4/19 - 10*s**3/19 - 14*s**2/19 - 6*s/19.
-2*s*(s + 1)**2*(s + 3)/19
Let -36*f**3 + 1268*f**2 + 2644*f + 1340 = 0. What is f?
-1, 335/9
Let -r**4 + 52*r**3 - 557*r**2 + 962*r - 456 = 0. What is r?
1, 12, 38
Find c, given that 252*c**4 - 1128*c**3 + 1233*c**2 + 30*c = 0.
-1/42, 0, 2, 5/2
Factor -20*c**2 - 765*c - 190.
-5*(c + 38)*(4*c + 1)
Solve 44*d**3 - 74*d**2 + 34*d - 4 = 0.
2/11, 1/2, 1
Factor -4*h**4 + 29*h**3 - 51*h**2 + 31*h - 5.
-(h - 5)*(h - 1)**2*(4*h - 1)
Solve -4*n**4/5 - 196*n**3/5 - 676*n**2/5 + 1956*n/5 - 216 = 0.
-45, -6, 1
Factor x**4/2 + 91*x**3/2 + 3075*x**2/2 + 45625*x/2 + 125000.
(x + 16)*(x + 25)**3/2
Solve 2*k**4/3 - 374*k**3/9 - 344*k**2/3 - 520*k/9 = 0.
-2, -2/3, 0, 65
Determine q, given that -12*q**2 + 20*q + 48 = 0.
-4/3, 3
Let 2*u**3/19 - 12*u**2/19 + 18*u/19 = 0. Calculate u.
0, 3
Factor -2*g**3 + 254*g**2 - 7936*g - 8192.
-2*(g - 64)**2*(g + 1)
Let -3*n**4 - 57*n**3 - 123*n**2 + 813*n - 630 = 0. Calculate n.
-15, -7, 1, 2
Solve -21*a**3 + 99*a**2 - 144*a + 60 = 0 for a.
5/7, 2
Factor -3*a**3/7 - 13*a**2/7 + 59*a/7 + 3.
-(a - 3)*(a + 7)*(3*a + 1)/7
Factor 9*n**4 + 79*n**3 + 225*n**2 + 189*n - 54.
(n + 3)**3*(9*n - 2)
Factor m**4/4 + 9*m**3/2 + 59*m**2/4 - 99*m/2.
m*(m - 2)*(m + 9)*(m + 11)/4
Factor -2*w**4 + 6*w**3 + 6*w**2 - 22*w + 12.
-2*(w - 3)*(w - 1)**2*(w + 2)
Find g, given that -2*g**3 - 34*g**2 + 36*g = 0.
-18, 0, 1
Determine k so that 3*k**5/2 + 7*k**4/2 - k**3/2 - 7*k**2/2 - k = 0.
-2, -1, -1/3, 0, 1
Determine c so that -15*c**5 - 114*c**4 - 252*c**3 - 120*c**2 + 96*c = 0.
-4, -2, 0, 2/5
Factor -t**3 + 4*t**2 + 32*t.
-t*(t - 8)*(t + 4)
Factor 2*v**2 + 3298*v - 3300.
2*(v - 1)*(v + 1650)
Determine f, given that -f**2/3 - 35*f/3 - 32 = 0.
-32, -3
Factor 3645*a**4 + 7830*a**3 + 1100*a**2 + 40*a.
5*a*(a + 2)*(27*a + 2)**2
Find z such that z**3/4 - 31*z**2/4 + 133*z/2 - 104 = 0.
2, 13, 16
Factor -g**3/3 - 155*g**2/3 - 6083*g/3 - 5929/3.
-(g + 1)*(g + 77)**2/3
Let f**2 - 28*f + 27 = 0. Calculate f.
1, 27
Factor -f**2/9 - f/9 + 2/3.
-(f - 2)*(f + 3)/9
Factor 4*v**3/5 - 52*v**2/5 + 92*v/5 - 44/5.
4*(v - 11)*(v - 1)**2/5
Factor -2*h**3 - 22*h**2 - 76*h - 80.
-2*(h + 2)*(h + 4)*(h + 5)
Factor 2*h**4/15 - 158*h**3/15 + 292*h**2/5.
2*h**2*(h - 73)*(h - 6)/15
Factor 4*a**3/3 - 56*a**2/3 + 52*a/3.
4*a*(a - 13)*(a - 1)/3
Determine o, given that o**5 - o**4 - 5*o**3 + o**2 + 8*o + 4 = 0.
-1, 2
Solve -2*g**3/3 + 6*g**2 + 14*g + 22/3 = 0.
-1, 11
Factor -r**2/4 + 107*r/4 - 103.
-(r - 103)*(r - 4)/4
Determine x, given that 4*x**5 + 16*x**4 - 128*x**3 + 64*x**2 + 448*x - 512 = 0.
-8, -2, 2
Factor 2*m**2/7 + 28*m + 686.
2*(m + 49)**2/7
Factor -27*z**3 + 345*z**2 + 5424*z + 1188.
-3*(z - 22)*(z + 9)*(9*z + 2)
Let -3*j**5/5 + 179*j**4/5 - 631*j**3/5 + 849*j**2/5 - 506*j/5 + 112/5 = 0. Calculate j.
2/3, 1, 56
Factor 3*l**4 + 114*l**3 - 9*l**2 - 336*l + 228.
3*(l - 1)**2*(l + 2)*(l + 38)
Factor f**5/2 - 3*f**3/2 - f**2.
f**2*(f - 2)*(f + 1)**2/2
Solve -16*z**2 + 156*z - 308 = 0 for z.
11/4, 7
Factor -5*g**4 + 11140*g**3 - 6193830*g**2 - 12421100*g - 6216125.
-5*(g - 1115)**2*(g + 1)**2
Find a, given that -2*a**4/7 - 2*a**3/7 + 4*a**2/7 = 0.
-2, 0, 1
Solve -3*j**5 - 222*j**4 - 2514*j**3 + 61176*j**2 - 113907*j + 55470 = 0 for j.
-43, 1, 10
Factor 5*n**5 - 20*n**4 - 140*n**3 - 160*n**2.
5*n**2*(n - 8)*(n + 2)**2
Factor -2*h**3 - 22*h**2 + 24*h.
-2*h*(h - 1)*(h + 12)
Solve -5*n**3 + 1060*n**2 - 54000*n - 233280 = 0.
-4, 108
Solve 3*k**3 + 3*k**2 - 6*k = 0.
-2, 0, 1
Determine p so that p**2/4 + 400*p + 160000 = 0.
-800
Factor -3*a**3/7 + 3*a/7.
-3*a*(a - 1)*(a + 1)/7
Suppose -25*l**5 - 90*l**4 - 95*l**3 - 30*l**2 = 0. What is l?
-2, -1, -3/5, 0
Factor 4*h**2 - 54*h - 28.
2*(h - 14)*(2*h + 1)
Factor f**4 - 6*f**3 + 9*f**2 - 4*f.
f*(f - 4)*(f - 1)**2
Factor 3*s**2/7 - 600*s/7 - 603/7.
3*(s - 201)*(s + 1)/7
Find b such that -5*b**3 + 25*b**2 + 470*b - 2800 = 0.
-10, 7, 8
Let 21*w**4 + 24*w**3 - 66*w**2 - 24*w + 45 = 0. What is w?
-15/7, -1, 1
Solve 2*a**4 - 14*a**3 + 34*a**2 - 34*a + 12 = 0.
1, 2, 3
Solve -g**4 - 1110*g**3 + 1111*g**2 = 0.
-1111, 0, 1
Find v such that -v**4 - 13*v**3 + 3*v**2 + 37*v - 26 = 0.
-13, -2, 1
Factor -2*z**2 + 408*z - 20808.
-2*(z - 102)**2
Determine u, given that 3*u**5/2 + 91*u**4/2 + 305*u**3 - 608*u**2 + 256*u = 0.
-16, 0, 2/3, 1
Determine t, given that 2*t**2/9 + 12232*t/9 + 18702728/9 = 0.
-3058
Factor 4*f**2 - 4*f - 8.
4*(f - 2)*(f + 1)
Find s such that -s**2/4 - 42*s = 0.
-168, 0
Determine m, given that -m**4/9 - 5*m**3/3 - 10*m**2/9 + 80*m/3 + 416/9 = 0.
-13, -4, -2, 4
Fa