or 54*d**2 + 1200*d + 20000/3.
2*(9*d + 100)**2/3
Factor 28*n**3 - 244*n**2 - 72*n.
4*n*(n - 9)*(7*n + 2)
Determine z so that 2*z**3/13 + 10*z**2/13 - 44*z/13 + 32/13 = 0.
-8, 1, 2
Factor 4*f**2 + 520*f + 16900.
4*(f + 65)**2
Let -c**3 - 5*c**2 + 22*c - 16 = 0. Calculate c.
-8, 1, 2
Factor n**5/4 - n**4 - n**3/4 + n**2.
n**2*(n - 4)*(n - 1)*(n + 1)/4
Find y such that -y**4 - 2*y**3 + 3*y**2 + 4*y - 4 = 0.
-2, 1
Suppose -5*r**2 + 840*r - 2475 = 0. What is r?
3, 165
Let -3*b**2 - 1206*b - 121203 = 0. What is b?
-201
Find r, given that 25*r**4 - 405*r**3 + 1680*r**2 - 320*r = 0.
0, 1/5, 8
Factor -r**2 - 486*r.
-r*(r + 486)
Suppose 20*c**5 - 112*c**4 + 172*c**3 - 32*c**2 - 48*c = 0. What is c?
-2/5, 0, 1, 2, 3
Factor x**5 - 2*x**4 - x**3 + 2*x**2.
x**2*(x - 2)*(x - 1)*(x + 1)
Find d, given that -2*d**2 + 10280*d - 13209800 = 0.
2570
Find f such that 2*f**2 + 168*f - 1274 = 0.
-91, 7
Solve -3*i**4/2 + 147*i**3/2 + 3*i**2/2 - 147*i/2 = 0.
-1, 0, 1, 49
Factor n**3 - 1183*n**2 + 2363*n - 1181.
(n - 1181)*(n - 1)**2
Let 3*i**2/2 - 21*i + 36 = 0. Calculate i.
2, 12
Factor -2*t**5/13 - 46*t**4/13 - 86*t**3/13 - 42*t**2/13.
-2*t**2*(t + 1)**2*(t + 21)/13
Factor 2*a**2/9 + 3520*a/9 + 1548800/9.
2*(a + 880)**2/9
Factor -z**5/6 - 3*z**4/2 - 5*z**3 - 23*z**2/3 - 11*z/2 - 3/2.
-(z + 1)**3*(z + 3)**2/6
Determine v so that -v**4/4 - 3*v**3/2 + 19*v**2/4 + 6*v = 0.
-8, -1, 0, 3
Factor -j**2 + 144*j - 5184.
-(j - 72)**2
Factor -o**3 + 34*o**2 + o - 34.
-(o - 34)*(o - 1)*(o + 1)
Solve -2*k**3 + 666*k**2 - 1326*k + 662 = 0.
1, 331
Solve -5*d**5 + 65*d**4 + 5*d**3 - 65*d**2 = 0.
-1, 0, 1, 13
Let -5*x**3 + 2000*x**2 + 12135*x + 18270 = 0. Calculate x.
-3, 406
Determine q so that -q**3 + 52*q**2 - 149*q + 98 = 0.
1, 2, 49
Suppose -3*c**2 - 942*c - 939 = 0. Calculate c.
-313, -1
Factor 2*x**2/7 - 366*x/7 - 368/7.
2*(x - 184)*(x + 1)/7
What is p in 4*p**3/7 - 72*p**2/7 + 240*p/7 - 32 = 0?
2, 14
Factor h**2 + 189*h.
h*(h + 189)
Solve 3*c**2 + 204*c + 3468 = 0.
-34
What is b in -5*b**5 - 160*b**4 + 165*b**3 = 0?
-33, 0, 1
Let 5*z**2/6 + 5905*z/3 = 0. Calculate z.
-2362, 0
Factor 3087*f**2 + 3093*f + 6.
3*(f + 1)*(1029*f + 2)
Let 3*r**2/4 - 2049*r/2 + 1399467/4 = 0. What is r?
683
Solve 3*w**3/7 + 1062*w**2/7 - 1065*w/7 = 0.
-355, 0, 1
Suppose -2*o**5/9 - 16*o**4/9 + 62*o**3/9 - 44*o**2/9 = 0. What is o?
-11, 0, 1, 2
Factor -2*l**4/5 + 14*l**3/5 - 16*l**2/5 - 32*l/5.
-2*l*(l - 4)**2*(l + 1)/5
Factor 4*n**3 - 4008*n**2 - 4020*n + 8024.
4*(n - 1003)*(n - 1)*(n + 2)
Factor 2*j**3/3 - 14*j**2/3 + 4*j.
2*j*(j - 6)*(j - 1)/3
Find m such that -6*m**4 + 9*m**3 + 36*m**2 - 21*m - 18 = 0.
-2, -1/2, 1, 3
Solve -3*w**4 - 42*w**3 + 93*w**2 - 48*w = 0.
-16, 0, 1
Factor -f**3 + 209*f**2 - 11024*f + 10816.
-(f - 104)**2*(f - 1)
Factor -3*v**4 + 63*v**3 - 342*v**2 + 708*v - 504.
-3*(v - 14)*(v - 3)*(v - 2)**2
Factor 3*y**2 + 54*y + 243.
3*(y + 9)**2
What is u in u**5/5 - 12*u**4/5 - 18*u**3/5 + 324*u**2/5 + 729*u/5 = 0?
-3, 0, 9
Determine g so that -8*g**4 + 212*g**3 + 3260*g**2 - 5528*g - 3552 = 0.
-12, -1/2, 2, 37
Let -n**5/7 + 9*n**4/7 + 2*n**3 - 36*n**2/7 - 40*n/7 = 0. Calculate n.
-2, -1, 0, 2, 10
Factor 2*i**4 - 62*i**3 + 680*i**2 - 3072*i + 4608.
2*(i - 12)*(i - 8)**2*(i - 3)
What is z in -3*z**4/2 + 9*z**3/2 + 15*z**2 = 0?
-2, 0, 5
Suppose 40*z**5 - 204*z**4 + 52*z**3 + 276*z**2 - 92*z - 72 = 0. Calculate z.
-1, -2/5, 1, 9/2
Determine t so that -2*t**2/7 + 108*t/7 + 122 = 0.
-7, 61
What is u in -242*u**4 + 29128*u**3 - 10568*u**2 + 960*u = 0?
0, 2/11, 120
Determine f, given that 56*f**5 + 54*f**4 - 230*f**3 - 220*f**2 + 24*f + 16 = 0.
-2, -1, -1/4, 2/7, 2
Find j such that 12*j**2 - 732*j + 11163 = 0.
61/2
Factor 4*m**2 + 108*m + 720.
4*(m + 12)*(m + 15)
Factor -3*b**2/4 - 123*b/2 - 243/4.
-3*(b + 1)*(b + 81)/4
Find o such that -2*o**4/3 + 11*o**3/6 - 5*o**2/3 + o/2 = 0.
0, 3/4, 1
Factor 2*d**4 + 48*d**3 + 202*d**2 - 252*d.
2*d*(d - 1)*(d + 7)*(d + 18)
Find h, given that -27*h**5/2 - 102*h**4 - 202*h**3 - 157*h**2 - 97*h/2 - 5 = 0.
-5, -1, -1/3, -2/9
Determine k so that -k**4/7 + 6*k**3/7 + 15*k**2/7 + 8*k/7 = 0.
-1, 0, 8
Factor 9*d**4/2 + 63*d**3/2 + 147*d**2/2 + 343*d/6.
d*(3*d + 7)**3/6
Factor -90*a**2/7 - 632*a/7 - 2.
-2*(a + 7)*(45*a + 1)/7
Factor t**2 + 20*t + 91.
(t + 7)*(t + 13)
Find z, given that 2*z**3 + 138*z**2 - 282*z + 142 = 0.
-71, 1
Solve -3*k**5 + 99*k**4 - 648*k**3 - 2916*k**2 = 0 for k.
-3, 0, 18
Factor -2*i**5 - 28*i**4 - 152*i**3 - 400*i**2 - 512*i - 256.
-2*(i + 2)**3*(i + 4)**2
Factor 5*o**3 - 35*o**2 + 55*o - 25.
5*(o - 5)*(o - 1)**2
Determine z, given that z**3 - 40*z**2 - 83*z - 42 = 0.
-1, 42
Factor d**4 - 72*d**3 - 506*d**2 + 64872*d + 811801.
(d - 53)**2*(d + 17)**2
Factor d**5/6 - 39*d**4/2 + 2281*d**3/3 - 9867*d**2 - 1521*d/2 + 19773/2.
(d - 39)**3*(d - 1)*(d + 1)/6
Factor 4*i**5 - 12*i**4 + 12*i**3 - 4*i**2.
4*i**2*(i - 1)**3
Find q, given that -3*q**2/7 - 246*q/7 - 165 = 0.
-77, -5
Determine q, given that 11*q**3/5 + 878*q**2/5 - 32*q = 0.
-80, 0, 2/11
Determine g, given that 18*g**5/11 + 30*g**4/11 - 1308*g**3/11 + 5292*g**2/11 - 6966*g/11 + 162 = 0.
-11, 1/3, 3
Factor -2*y**5/11 + 4*y**4/11 + 36*y**3/11 + 64*y**2/11 + 46*y/11 + 12/11.
-2*(y - 6)*(y + 1)**4/11
Solve 2*i**4 - 68*i**3 + 192*i**2 - 188*i + 62 = 0 for i.
1, 31
Factor 32*k**2 - k/2.
k*(64*k - 1)/2
Determine w so that 3*w**4 - 2436*w**3 + 484668*w**2 + 3995040*w + 8068800 = 0.
-4, 410
Let -2*b**5 + 20*b**4 + 46*b**3 + 24*b**2 = 0. What is b?
-1, 0, 12
Solve x**3/5 + x**2/5 - 21*x/5 - 9 = 0.
-3, 5
Factor 3*u**2/7 - 6*u/7 + 3/7.
3*(u - 1)**2/7
Suppose -3*g**4 - 18*g**3 + 3*g**2 + 18*g = 0. What is g?
-6, -1, 0, 1
Let -2*s**2 - 510*s + 1028 = 0. Calculate s.
-257, 2
Find z, given that 2*z**5 + 14*z**4 + 26*z**3 + 2*z**2 - 28*z - 16 = 0.
-4, -2, -1, 1
Factor -4*a**3 - 128*a**2 + 796*a + 2072.
-4*(a - 7)*(a + 2)*(a + 37)
Solve 3*s**3 + 23*s**2 - 10*s - 16 = 0.
-8, -2/3, 1
Factor -2*z**2/5 - 16*z/15 + 2/5.
-2*(z + 3)*(3*z - 1)/15
Factor 2*h**2/17 + 48*h/17 + 14.
2*(h + 7)*(h + 17)/17
Solve 4*w**3 - 188*w**2 = 0 for w.
0, 47
Suppose -2*d**5/9 + 2*d**4/3 + 92*d**3/9 + 16*d**2 = 0. Calculate d.
-4, -2, 0, 9
What is n in -165*n**3/4 - 9*n**2/4 + 165*n/4 + 9/4 = 0?
-1, -3/55, 1
Find l such that l**4 + 6*l**3 - l**2 - 6*l = 0.
-6, -1, 0, 1
Determine u so that 28*u**5 - 148*u**4 + 236*u**3 - 140*u**2 + 24*u = 0.
0, 2/7, 1, 3
Factor 2*d**3 - 6168*d**2 + 6340704*d - 2172747904.
2*(d - 1028)**3
Factor 2*l**4/11 - 8*l**3/11 - 10*l**2/11.
2*l**2*(l - 5)*(l + 1)/11
Solve 15*g**4/2 + 39*g**3/2 - 9*g**2 = 0 for g.
-3, 0, 2/5
Suppose -45*m**3 + 1225*m**2 - 270*m = 0. Calculate m.
0, 2/9, 27
Find u such that -3*u**2 - 1371*u - 2730 = 0.
-455, -2
Solve 2*c**5/5 + c**4 - 9*c**3/5 - 19*c**2/5 - c/5 + 6/5 = 0.
-3, -1, 1/2, 2
Factor 4*x**3 + 660*x**2 + 10908*x - 1509748.
4*(x - 37)*(x + 101)**2
Factor 2*n**2 - 30*n - 308.
2*(n - 22)*(n + 7)
Factor 3*c**5/8 + 45*c**4/8 + 81*c**3/8 - 729*c**2/8.
3*c**2*(c - 3)*(c + 9)**2/8
Factor -3*y**4/4 + 948*y**3 - 449352*y**2 + 94663488*y - 7478415552.
-3*(y - 316)**4/4
Factor 4*x**3 - 26436*x**2 + 58238508*x - 42766477708.
4*(x - 2203)**3
Let -2*p**2/9 + 4*p/9 + 16/3 = 0. Calculate p.
-4, 6
Find y such that -2*y**3/9 + 4*y**2/9 + 2*y/3 = 0.
-1, 0, 3
Factor -m**2/10 - 29*m/5 - 841/10.
-(m + 29)**2/10
Find u, given that 25*u**5 - 215*u**4 - 15*u**3 + 2255*u**2 - 1210*u - 840 = 0.
-3, -2/5, 1, 4, 7
Factor 2*w**2/9 + 1508*w/9 + 284258/9.
2*(w + 377)**2/9
Let 3*m**5/2 + 45*m**4/2 + 141*m**3/2 + 99*m**2/2 = 0. What is m?
-11, -3, -1, 0
Factor -3*z**4 + 33*z**3 + 378*z**2.
-3*z**2*(z - 18)*(z + 7)
Determine p, given that -5775*p**5/8 + 2385*p**4/4 - 261*p**3/2 + 3*p**2 = 0.
0, 2/77, 2/5
Determine w so that 5*w**5/2 + 165*w**4/2 + 1095*w**3/2 - 4325*w**2/2 + 2340*w - 810 = 0.
-18, 1
Solve 8*i**2 - 114*i + 270 = 0 for i.
3, 45/4
Determine t, given that -2*t**5/3 - 4*t**4/3 + 2*t**3/3 + 4*t**2/3 = 0.
-2, -1, 0, 1
Find i, given that -21*i**4/8 + i**3/4 + 63*i**2/8 - 6*i + 1/2 = 0.
-2, 2/21, 1
Factor 5*k**3/4 - 795*k**2/2 + 1585*k/4.
5*k*(k - 317)*(k - 1)/4
Solve 2*j**2/7 - 3328*j/7 + 1384448/7 = 0.
832
Factor 4*j**5 - 4*j**4 - 4*j**3 + 4*j**2.
4*j**2*(j - 1)**2*(j + 1)
Let 4*s**5 + 928*s**4 - 3752*s**3 + 5648*s**2 - 3772*s + 944 = 0. What is s?
-236, 1
Find q, given that -q**2/2 - 391*