**2 - 32*f = 0.
0, 8/33
Let 5*i**4 + 25*i**3 + 25*i**2 - 25*i - 30 = 0. What is i?
-3, -2, -1, 1
Factor p**2 - 10*p + 16.
(p - 8)*(p - 2)
Let -a**2/4 - 130*a = 0. Calculate a.
-520, 0
Solve -4*q**2 - 60*q + 136 = 0.
-17, 2
Factor 5*l**3 - 380*l**2 - 1205*l + 1580.
5*(l - 79)*(l - 1)*(l + 4)
Determine g, given that -4*g**5/5 - 162*g**4 + 246*g**3 + 244*g**2 - 816*g/5 = 0.
-204, -1, 0, 1/2, 2
Factor t**3 - 19*t**2/2 + 25*t/2 - 4.
(t - 8)*(t - 1)*(2*t - 1)/2
Factor -4*s**4/3 - 4*s**3/3 + 4*s**2 + 20*s/3 + 8/3.
-4*(s - 2)*(s + 1)**3/3
Factor 2*w**4/7 - 4*w**3/7 + 2*w**2/7.
2*w**2*(w - 1)**2/7
Let v**5/2 - v**3/2 = 0. What is v?
-1, 0, 1
Factor 2*x**4 - 246*x**3 + 1428*x**2 - 2824*x + 1872.
2*(x - 117)*(x - 2)**3
Factor 5*n**4 - 30*n**3 + 45*n**2 + 20*n - 60.
5*(n - 3)*(n - 2)**2*(n + 1)
Factor -3*x**2 - 12*x - 9.
-3*(x + 1)*(x + 3)
Factor 5*w**2/7 + 16*w/7 + 11/7.
(w + 1)*(5*w + 11)/7
Factor -o**2/5 - 318*o/5 - 25281/5.
-(o + 159)**2/5
Factor 4*o**3 + 16*o**2 - 20*o.
4*o*(o - 1)*(o + 5)
Suppose -c**3/4 - 55*c**2/4 - 667*c/4 + 2523/4 = 0. What is c?
-29, 3
Solve -4*d**4 + 68*d**3 - 172*d**2 - 900*d + 1008 = 0 for d.
-3, 1, 7, 12
Determine d so that -4*d**3 + 36*d**2 - 56*d = 0.
0, 2, 7
Suppose -m**5/5 + 3*m**4/5 + 2*m**3/5 - 6*m**2/5 - m/5 + 3/5 = 0. What is m?
-1, 1, 3
Find z such that 3*z**2/5 + 999*z/5 - 1014 = 0.
-338, 5
Suppose -w**2/4 + 163*w/2 - 325/4 = 0. What is w?
1, 325
Determine v, given that 3*v**3/7 + 9*v**2/7 = 0.
-3, 0
Determine u, given that -396*u**2 + 4*u = 0.
0, 1/99
Suppose 4*y**4 + 32*y**3 - 36*y**2 = 0. Calculate y.
-9, 0, 1
Factor -5*l**2/4 + 65*l - 845.
-5*(l - 26)**2/4
Factor 39*h**2 + 165*h + 126.
3*(h + 1)*(13*h + 42)
Suppose -2*v**4 - 98*v**3 - 1138*v**2 - 2758*v - 1716 = 0. Calculate v.
-33, -13, -2, -1
Solve m**2/5 - 138*m/5 = 0 for m.
0, 138
Suppose 5*p**2 - 225*p = 0. Calculate p.
0, 45
Suppose 2*h**5/11 - 158*h**4/11 + 3350*h**3/11 - 9122*h**2/11 + 8816*h/11 - 2888/11 = 0. Calculate h.
1, 38
Factor g**4 - 5*g**3 - 927*g**2 + 13205*g - 12274.
(g - 19)**2*(g - 1)*(g + 34)
Suppose -o**5/6 - 5*o**4/6 - o**3/3 + 7*o**2/3 + o/2 - 3/2 = 0. What is o?
-3, -1, 1
Suppose 56*z**3 + 52*z**2 - 16*z - 12 = 0. What is z?
-1, -3/7, 1/2
Suppose z**5 - 9*z**4 + 23*z**3 - 7*z**2 - 24*z + 16 = 0. Calculate z.
-1, 1, 4
Factor -w**3 + 893*w**2/4 - 12376*w - 9408.
-(w - 112)**2*(4*w + 3)/4
Let -5*n**3 + 125*n**2 - 340*n + 220 = 0. Calculate n.
1, 2, 22
Factor -t**3 - 13*t**2/3 - 2*t/3 + 8/3.
-(t + 1)*(t + 4)*(3*t - 2)/3
Factor 6*s**4 - 82*s**3 + 348*s**2 - 600*s + 368.
2*(s - 2)**3*(3*s - 23)
Let u**3/5 - 4*u**2 + 53*u/5 - 34/5 = 0. What is u?
1, 2, 17
Let 1121481*b**2/4 - 2118*b + 4 = 0. Calculate b.
4/1059
Factor 5*t**3 - 10*t**2 - 160*t + 480.
5*(t - 4)**2*(t + 6)
Determine m so that m**4/4 + 73*m**3/2 + 7153*m**2/4 + 33288*m + 207936 = 0.
-57, -16
Factor -3*m**4 + 96*m**3 + 99*m**2.
-3*m**2*(m - 33)*(m + 1)
Suppose 4*q**3 - 708*q**2 + 41772*q - 821516 = 0. What is q?
59
Find h such that h**2/6 - 4*h/3 + 2 = 0.
2, 6
Factor -2*p**4/13 + 164*p**3/13 - 3954*p**2/13 + 24272*p/13 - 43808/13.
-2*(p - 37)**2*(p - 4)**2/13
Let -4*d**2/7 + 132*d/7 - 128/7 = 0. What is d?
1, 32
Factor 2*v**3/9 - 26*v**2/9 - 128*v/9 - 136/9.
2*(v - 17)*(v + 2)**2/9
Factor 2*q**4/3 - 8*q**3/3 - 10*q**2/3.
2*q**2*(q - 5)*(q + 1)/3
Factor -2*d**3/13 - 1686*d**2/13 - 356166*d/13 - 354482/13.
-2*(d + 1)*(d + 421)**2/13
Suppose -q**5/7 + 103*q**4/7 - 3963*q**3/7 + 68121*q**2/7 - 65880*q + 56700 = 0. What is q?
1, 21, 30
What is k in 2*k**4/5 - 42*k**3/5 + 8*k**2 = 0?
0, 1, 20
Factor -z**3/4 + 290*z**2 - 1159*z/4.
-z*(z - 1159)*(z - 1)/4
Factor o**4 + 12*o**3 + 35*o**2.
o**2*(o + 5)*(o + 7)
Factor 2*j**2/13 - 8*j/13 - 42/13.
2*(j - 7)*(j + 3)/13
Factor 3*v**2/5 + 18*v/5 + 27/5.
3*(v + 3)**2/5
Find s such that -5*s**4 + 30*s**3 - 5*s**2 - 120*s + 100 = 0.
-2, 1, 2, 5
Factor 10*r**2 - 46*r/5 - 4/5.
2*(r - 1)*(25*r + 2)/5
Solve -2*u**2/15 - 18*u/5 - 304/15 = 0.
-19, -8
Factor f**3/2 - f/2.
f*(f - 1)*(f + 1)/2
Solve -h**3/4 - 107*h**2/2 + 431*h/4 - 54 = 0 for h.
-216, 1
Let -90*p**3 - 45*p**2 - 5*p = 0. Calculate p.
-1/3, -1/6, 0
Factor 2*j**3 + 128*j**2.
2*j**2*(j + 64)
Solve 21*c**4 + 309*c**3 - 279*c**2 - 2781*c + 810 = 0.
-15, -3, 2/7, 3
Factor n**3 - 222*n**2 + 12753*n - 47524.
(n - 109)**2*(n - 4)
Factor -5*z**2 + 55*z + 510.
-5*(z - 17)*(z + 6)
Suppose -2*a**4/7 + 278*a**3/7 - 1614*a**2/7 + 2402*a/7 - 152 = 0. Calculate a.
1, 4, 133
Solve -6*c**5 - 28*c**4 + 20*c**3 + 48*c**2 - 14*c - 20 = 0.
-5, -1, -2/3, 1
Suppose 2*k**4 + 158*k**3 + 146*k**2 - 774*k + 468 = 0. Calculate k.
-78, -3, 1
Find n such that -8*n**5/3 - 430*n**4/3 - 508*n**3 - 1192*n**2/3 + 400*n/3 = 0.
-50, -2, 0, 1/4
Solve -25*j**5 - 4410*j**4 + 2690*j**3 + 6180*j**2 - 2665*j - 1770 = 0.
-177, -1, -2/5, 1
Determine a so that -16*a**5 - 444*a**4 - 1136*a**3 - 904*a**2 - 96*a + 100 = 0.
-25, -1, 1/4
Suppose 48*k**4/5 - 22*k**3/5 - 46*k**2/5 + 22*k/5 - 2/5 = 0. Calculate k.
-1, 1/8, 1/3, 1
Solve 2*n**3/21 - 4*n**2/7 + 16*n/21 = 0.
0, 2, 4
Determine f so that 2*f**4/7 - 36*f**3/7 - 120*f**2/7 - 124*f/7 - 6 = 0.
-1, 21
Determine q, given that q**3/2 + 91*q**2/2 + 2115*q/2 + 2025/2 = 0.
-45, -1
Solve -2*r**3/3 - 26*r**2/9 + 62*r/9 + 70/3 = 0.
-5, -7/3, 3
Factor -5*g**3/2 - 26*g**2 - 145*g/2 - 25.
-(g + 5)**2*(5*g + 2)/2
Suppose 16*l**4 + 52*l**3 + 12*l**2 = 0. What is l?
-3, -1/4, 0
Factor -4*k**2 - 44*k - 72.
-4*(k + 2)*(k + 9)
Factor -30*o**2 + 245*o + 275.
-5*(o + 1)*(6*o - 55)
Factor -2*a**3/23 + 20*a**2/23 - 18*a/23.
-2*a*(a - 9)*(a - 1)/23
Suppose -4*j**4/9 - 32*j**3 + 608*j**2/3 - 3712*j/9 + 832/3 = 0. What is j?
-78, 2
Determine b, given that -4*b**3 + 24*b**2 - 12*b - 40 = 0.
-1, 2, 5
Let 5*v**3 + 25*v**2 - 165*v + 135 = 0. Calculate v.
-9, 1, 3
Solve -2*p**4/21 - 1276*p**3/21 - 424*p**2/7 + 1276*p/21 + 182/3 = 0 for p.
-637, -1, 1
Find r, given that r**3/6 + 3*r**2 + 29*r/2 + 55/3 = 0.
-11, -5, -2
Suppose -l**3/2 - 109*l**2/2 - 215*l/2 - 107/2 = 0. What is l?
-107, -1
Suppose -o**4/3 + 2*o**3 = 0. What is o?
0, 6
Solve z**5 - 3*z**4 - 6*z**3 + 10*z**2 + 21*z + 9 = 0 for z.
-1, 3
Determine c so that -2*c**2/7 + 30*c/7 + 32/7 = 0.
-1, 16
Factor b**2/5 - 1019*b/5 - 204.
(b - 1020)*(b + 1)/5
Suppose 5*l**2 + 220*l = 0. Calculate l.
-44, 0
Factor 2*q**2/3 - 92*q + 3174.
2*(q - 69)**2/3
What is i in i**3/6 + 73*i**2/6 + 93*i/2 + 69/2 = 0?
-69, -3, -1
Find t, given that -3*t**3 + 132*t**2 - 1452*t = 0.
0, 22
What is h in h**4/3 - 10*h**3/3 + 17*h**2/3 - 8*h/3 = 0?
0, 1, 8
Let -117*q**3 + 141*q**2 + 168*q + 36 = 0. What is q?
-6/13, -1/3, 2
Let 2*m**4 - 68*m**3 - 384*m**2 - 252*m + 702 = 0. Calculate m.
-3, 1, 39
Factor 3*a**4 - 267*a**3.
3*a**3*(a - 89)
Determine d so that -5*d**5/4 - 10*d**4 - 55*d**3/4 + 25*d**2 = 0.
-5, -4, 0, 1
Factor 2*i**4/3 + 14*i**3/3 + 2*i**2 - 42*i - 72.
2*(i - 3)*(i + 3)**2*(i + 4)/3
Suppose x**4 + 2*x**3 - x**2 - 2*x = 0. What is x?
-2, -1, 0, 1
Suppose -3*k**5 + 342*k**4 - 14784*k**3 + 291648*k**2 - 2370816*k + 3687936 = 0. Calculate k.
2, 28
Let -c**4/3 - 32*c**3/3 + 7*c**2/3 + 230*c/3 + 64 = 0. What is c?
-32, -2, -1, 3
Let 3*h**3 - 33*h**2 + 24*h + 60 = 0. What is h?
-1, 2, 10
Let -a**4/2 + 3*a**3 - 6*a**2 + 4*a = 0. What is a?
0, 2
Factor 2*q**5/11 + 128*q**4/11 + 174*q**3 - 396*q**2.
2*q**2*(q - 2)*(q + 33)**2/11
Factor 5*s**3 + 40*s**2 + 25*s - 70.
5*(s - 1)*(s + 2)*(s + 7)
Factor -5*d**4 + 15*d**3 + 5*d**2 - 15*d.
-5*d*(d - 3)*(d - 1)*(d + 1)
Factor -p**4/4 + 3*p**3 + 29*p**2/4 - 57*p + 65.
-(p - 13)*(p - 2)**2*(p + 5)/4
Solve -2*s**5/9 + 2*s**4 - 52*s**3/9 + 68*s**2/9 - 14*s/3 + 10/9 = 0 for s.
1, 5
Suppose a**5/3 + 28*a**4/3 - 29*a**3/3 = 0. Calculate a.
-29, 0, 1
Suppose -5*a**2 + 15*a + 2090 = 0. Calculate a.
-19, 22
Factor d**3/5 - 1726*d**2/5 + 744769*d/5.
d*(d - 863)**2/5
Suppose -840*n**5 - 2204*n**4 - 1744*n**3 - 156*n**2 + 304*n + 80 = 0. Calculate n.
-1, -2/3, -5/14, 2/5
Let y**4/2 - 43*y**3/2 + 119*y**2/2 + 43*y/2 - 60 = 0. What is y?
-1, 1, 3, 40
Determine c so that -c**4/2 - 25*c**3/2 + 53*c**2/2 - 27*c/2 = 0.
-27, 0, 1
Factor 3*j**4/2 - 21*j**3 + 207*j**2/2 - 210*j + 150.
3*(j - 5)**2*(j - 2)**2/2
Factor -94*l**4/3 + 278*l**3/3 - 90*l**2 + 82*l/3 + 4/3.
-2*(l - 1)**3*(47*l + 2)/3
Determine r so that -2*r**3/11 + 180*r**2/11 - 178*r/11 = 0.
0, 1, 89
