1118)**3/2
Factor -9*d**2/7 + 681*d/7 + 228/7.
-3*(d - 76)*(3*d + 1)/7
Factor 3*p**4/5 + 519*p**3/5 + 4437*p**2 - 22707*p/5.
3*p*(p - 1)*(p + 87)**2/5
Factor 26*k**2 + 102*k + 76.
2*(k + 1)*(13*k + 38)
Determine p so that -5*p**5 - 75*p**4 - 270*p**3 + 160*p**2 + 1440*p = 0.
-9, -4, 0, 2
What is p in 4*p**5/17 + 130*p**4/17 - 558*p**3/17 - 1980*p**2/17 - 1296*p/17 = 0?
-36, -3/2, -1, 0, 6
Suppose 21*r**5/5 - 288*r**4/5 - 2856*r**3/5 - 7218*r**2/5 - 1161*r - 1134/5 = 0. Calculate r.
-3, -1, -2/7, 21
What is x in 1587*x**3/7 - 2001*x**2/7 + 63*x - 27/7 = 0?
3/23, 1
Factor -q**2/3 - 304*q - 69312.
-(q + 456)**2/3
Determine o, given that o**2 - 50*o + 141 = 0.
3, 47
Factor 5*l**3 - 5*l**2 - 5*l + 5.
5*(l - 1)**2*(l + 1)
Solve -4*r**4/5 + 188*r**3/5 - 576*r**2 + 13312*r/5 + 16384/5 = 0.
-1, 16
Let -3*u**2/2 - 4*u/3 + 1/6 = 0. What is u?
-1, 1/9
Factor -2*g**5/11 + 18*g**3/11.
-2*g**3*(g - 3)*(g + 3)/11
Find m such that -25*m**5 + 695*m**4 - 2365*m**3 - 9115*m**2 + 410*m + 6440 = 0.
-2, -1, 4/5, 7, 23
Determine q so that -4*q**4 + 204*q**3 - 392*q**2 = 0.
0, 2, 49
Let -3*v**3 + 2538*v**2 - 715716*v + 67277304 = 0. What is v?
282
Factor -2*z**3/3 + 28*z**2/3 + 8*z/3 - 112/3.
-2*(z - 14)*(z - 2)*(z + 2)/3
Factor 25*z**2/3 - 1655*z/3 + 650.
5*(z - 65)*(5*z - 6)/3
Factor 3*c**4/5 - 849*c**3/5 + 16821*c**2 - 3255531*c/5 + 33838512/5.
3*(c - 89)**3*(c - 16)/5
Find u such that -3*u**5/7 - 15*u**4 - 738*u**3/7 + 2874*u**2/7 - 3099*u/7 + 153 = 0.
-21, -17, 1
Factor 2*t**2 - 40*t + 38.
2*(t - 19)*(t - 1)
Let 75*u**4/2 + 365*u**3 + 1603*u**2/2 + 606*u + 126 = 0. Calculate u.
-7, -6/5, -1/3
Let -69*k**4 - 2210*k**3 - 17728*k**2 - 512*k = 0. What is k?
-16, -2/69, 0
Determine w so that -18*w**3/13 + 4126*w**2/13 - 916*w/13 = 0.
0, 2/9, 229
Solve -2*o**5 - 10*o**4 + 4*o**3 + 20*o**2 - 2*o - 10 = 0 for o.
-5, -1, 1
Factor -3*b**4 - 6*b**3 + 3*b**2 + 6*b.
-3*b*(b - 1)*(b + 1)*(b + 2)
Factor 5*q**2 + 40*q + 80.
5*(q + 4)**2
Solve g**2/4 - 191*g/2 + 381/4 = 0.
1, 381
Factor -s**2/4 + 115*s/4 - 113/2.
-(s - 113)*(s - 2)/4
Factor -r**3/4 + 213*r**2/4 - 15123*r/4 + 357911/4.
-(r - 71)**3/4
Factor -3*d**3 - 156*d**2 - 1680*d + 9408.
-3*(d - 4)*(d + 28)**2
Determine d so that d**5/3 + d**4/3 = 0.
-1, 0
Solve -4*m**5 - 26*m**4 + 126*m**3 - 136*m**2 + 40*m = 0 for m.
-10, 0, 1/2, 1, 2
Determine k, given that -4*k**5 + 108*k**4 + 24*k**3 - 680*k**2 + 876*k - 324 = 0.
-3, 1, 27
Factor 2*u**4 - 178*u**3 - 2*u**2 + 178*u.
2*u*(u - 89)*(u - 1)*(u + 1)
Factor -4*f**5/7 + 107*f**4/7 - 78*f**3/7.
-f**3*(f - 26)*(4*f - 3)/7
Determine u, given that -4*u**3 + 84*u**2 + 184*u = 0.
-2, 0, 23
Factor -c**3/4 - c**2/4 + 65*c/4 + 225/4.
-(c - 9)*(c + 5)**2/4
Suppose -o**2/3 - 806*o/3 = 0. What is o?
-806, 0
Find k, given that -2*k**3 - 410*k**2 - 21216*k - 20808 = 0.
-102, -1
Factor -2*t**3 - 44*t**2 + 326*t - 280.
-2*(t - 5)*(t - 1)*(t + 28)
Solve -t**4/2 + t**3/2 + 5*t**2 + 4*t = 0 for t.
-2, -1, 0, 4
Find u, given that -14*u**4 + 5440*u**3 - 3710064*u**2/7 + 2110720*u/7 - 301088/7 = 0.
2/7, 194
Find x such that 3*x**5 - 6*x**4 - 48*x**3 + 6*x**2 + 45*x = 0.
-3, -1, 0, 1, 5
Factor -2*d**2/15 - 106*d/5.
-2*d*(d + 159)/15
Find y such that 135*y**3 + 195*y**2 + 50*y = 0.
-10/9, -1/3, 0
Find l, given that 9*l**4 + 16*l**3 - 4*l**2 = 0.
-2, 0, 2/9
Factor -2*c**2/7 - 428*c/7 - 22898/7.
-2*(c + 107)**2/7
Factor -4*w**2 - 28*w + 176.
-4*(w - 4)*(w + 11)
Suppose -33*x**2 + 2139*x + 390 = 0. Calculate x.
-2/11, 65
Determine q, given that 44*q**3 - 80*q**2 - 16*q = 0.
-2/11, 0, 2
Solve 2*v**5 - 40*v**4/7 - 34*v**3/7 + 164*v**2/7 - 88*v/7 - 16/7 = 0.
-2, -1/7, 1, 2
Factor -10*a**3 - 28*a**2 - 16*a.
-2*a*(a + 2)*(5*a + 4)
Factor p**3/7 - 32*p**2/7 + 57*p/7 + 90/7.
(p - 30)*(p - 3)*(p + 1)/7
Determine d, given that -2*d**3/13 - 56*d**2/13 + 2*d/13 + 56/13 = 0.
-28, -1, 1
Factor 3*g**2 - 10596*g + 9356268.
3*(g - 1766)**2
Let 2*k**3/7 - 328*k**2/7 - 662*k/7 - 332/7 = 0. What is k?
-1, 166
Factor -2*j**3/3 - 3012*j**2 - 3399040*j + 20430400/3.
-2*(j - 2)*(j + 2260)**2/3
Factor -2*j**2/7 - 46*j/7 - 12.
-2*(j + 2)*(j + 21)/7
Find z such that -161429814*z**2/11 - 124488*z/11 - 24/11 = 0.
-2/5187
Factor -2*o**3/15 + 8*o/15.
-2*o*(o - 2)*(o + 2)/15
Factor -2*b**5/9 - 26*b**4/9 - 8*b**3/3.
-2*b**3*(b + 1)*(b + 12)/9
Factor v**2 - 50*v - 464.
(v - 58)*(v + 8)
Factor -2*o**4/17 + 104*o**3/17 - 294*o**2/17.
-2*o**2*(o - 49)*(o - 3)/17
Let 5*i**3 - 55*i**2 + 180*i - 180 = 0. Calculate i.
2, 3, 6
Factor 4*q**3 + 24*q**2 + 12*q - 40.
4*(q - 1)*(q + 2)*(q + 5)
Let 4*t**3 + 308*t**2 + 604*t + 300 = 0. What is t?
-75, -1
Factor -2*z**4 - 36*z**3 - 70*z**2 + 588*z.
-2*z*(z - 3)*(z + 7)*(z + 14)
Let 7*q**5 - 1543*q**4/2 + 3317*q**3/2 + 1671*q**2 + 324*q = 0. Calculate q.
-1/2, -2/7, 0, 3, 108
Solve a**5/6 + 2*a**4/3 - 19*a**3/6 + 7*a**2/3 = 0 for a.
-7, 0, 1, 2
Find a, given that -5*a**4/7 + 2*a**3 + 20*a**2/7 - 62*a/7 + 33/7 = 0.
-11/5, 1, 3
Find l such that -4*l**4/3 + 362*l**3/9 - 248*l**2/3 + 50*l - 56/9 = 0.
1/6, 1, 28
What is f in -2*f**5/3 - 2*f**4 + 44*f**3/3 - 76*f**2/3 + 18*f - 14/3 = 0?
-7, 1
Solve -3*g**2 + 342*g - 9747 = 0 for g.
57
Factor 4*b**2 - 1288*b - 2592.
4*(b - 324)*(b + 2)
Factor 2*f**2/5 - 232*f/5 + 6728/5.
2*(f - 58)**2/5
Solve -2*k**4/9 - 2*k**3/9 + 10*k**2/9 - 2*k/3 = 0.
-3, 0, 1
Let -2*r**3/11 - 296*r**2/11 - 6240*r/11 - 35712/11 = 0. What is r?
-124, -12
Solve -l**2/4 + 11*l/2 + 12 = 0 for l.
-2, 24
Let -k**4/7 + 48*k**2/7 - 128*k/7 = 0. Calculate k.
-8, 0, 4
Factor 6*g**4/5 + 42*g**3/5 + 36*g**2/5 - 168*g/5 - 48.
6*(g - 2)*(g + 2)**2*(g + 5)/5
Find f such that -f**5/6 + 24*f**4 + 752*f**3/3 + 2744*f**2/3 + 1432*f + 2464/3 = 0.
-4, -2, 154
Determine v, given that -4*v**3/11 + 31*v**2/11 + 8*v/11 = 0.
-1/4, 0, 8
Let 12*w**4 - 687*w**3 - 3549*w**2 + 930*w = 0. What is w?
-5, 0, 1/4, 62
Find w, given that 36*w**3 + 4548*w**2 - 3044*w + 508 = 0.
-127, 1/3
Let f**4/9 + 116*f**3/9 + 3124*f**2/9 - 4640*f/3 + 1600 = 0. What is f?
-60, 2
Let -2*r**4/11 - 52*r**3/11 - 346*r**2/11 - 680*r/11 = 0. What is r?
-17, -5, -4, 0
Determine s so that -s**3/9 + 4*s**2/9 + 5*s/9 = 0.
-1, 0, 5
What is u in -u**2/3 + 2*u + 16/3 = 0?
-2, 8
Solve 25*g**4 - 140*g**3 + 165*g**2 - 10*g - 40 = 0 for g.
-2/5, 1, 4
Suppose 2*r**4/5 + 2*r**3 + 2*r**2 - 2*r - 12/5 = 0. What is r?
-3, -2, -1, 1
Factor 2*r**4 + 42*r**3 + 36*r**2 - 80*r.
2*r*(r - 1)*(r + 2)*(r + 20)
Suppose r**2/2 - 19*r/2 = 0. Calculate r.
0, 19
Determine q so that -q**3/2 - 9129*q**2/2 - 10419612*q - 10415048 = 0.
-4564, -1
Let l**4/3 - l**3 - 4*l**2/3 + 4*l = 0. What is l?
-2, 0, 2, 3
Factor 4*c**3 + 16*c**2 + 12*c.
4*c*(c + 1)*(c + 3)
Suppose 4*k**5/9 + 20*k**4/9 + 8*k**3/3 - 8*k**2/9 - 28*k/9 - 4/3 = 0. Calculate k.
-3, -1, 1
Determine l, given that l**4/3 - 11*l**3/3 - 20*l**2/3 + 28*l + 48 = 0.
-2, 3, 12
Factor 2*a**2/9 - 100*a/9 - 1184/3.
2*(a - 74)*(a + 24)/9
Factor 4*b**2 - 128*b + 880.
4*(b - 22)*(b - 10)
Factor -64*n**3 + 352*n**2 - 164*n + 20.
-4*(n - 5)*(4*n - 1)**2
Let 22*r**2/5 - 116*r = 0. What is r?
0, 290/11
Suppose y**3 + 610*y**2 - 1223*y + 612 = 0. Calculate y.
-612, 1
Factor 2*d**4/5 + 4*d**3 + 14*d**2/5 - 36*d/5.
2*d*(d - 1)*(d + 2)*(d + 9)/5
Factor -3*t**3 + 90*t**2 - 819*t + 2352.
-3*(t - 16)*(t - 7)**2
Suppose -n**5/2 - 59*n**4/4 - 443*n**3/4 - 869*n**2/4 - 635*n/4 - 38 = 0. What is n?
-19, -8, -1, -1/2
Suppose i**3/6 - 13*i**2/6 + 20*i/3 = 0. What is i?
0, 5, 8
Suppose 36*m**5 - 6348*m**4 + 45244*m**3 - 106660*m**2 + 89376*m - 24336 = 0. What is m?
2/3, 3, 169
Factor -2*p**3/11 - 34*p**2/11 - 92*p/11 + 336/11.
-2*(p - 2)*(p + 7)*(p + 12)/11
Factor t**3/3 + 26*t**2/3 + 92*t/3 + 88/3.
(t + 2)**2*(t + 22)/3
Solve b**2 + 106*b - 216 = 0 for b.
-108, 2
Factor -2*r**3/5 + 30*r**2.
-2*r**2*(r - 75)/5
Factor -4*v**2 - 136*v + 1344.
-4*(v - 8)*(v + 42)
Factor 5*f**3 + 1260*f**2 + 78105*f - 161290.
5*(f - 2)*(f + 127)**2
Factor -3*c**4 - 9*c**3 + 9*c**2 + 21*c - 18.
-3*(c - 1)**2*(c + 2)*(c + 3)
Solve -49*i**5/2 - 133*i**4 - 114*i**3 + 100*i**2 - 16*i = 0 for i.
-4, -2, 0, 2/7
Factor -3*b**3 - 150*b**2 + 153*b.
-3*b*(b - 1)*(b + 51)
Suppose -y**5 - 10*y**4 - 31*y**3 - 22*y**2 + 32*y + 32 = 0. Calculate y.
-4, -2, -1, 1
Factor -4*y**3 + 320*y**2 - 6068*y - 13448.
-4*(y - 41)**2*(y + 2)
Let 21*q**2/2 + 17*q/2 - 69 = 0. What is q?
-3, 46/21
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