 3)
Determine g so that 3*g**3/2 + 5*g**2/2 - g = 0.
-2, 0, 1/3
Find f, given that 3*f**5 - 366*f**4 + 1065*f**3 + 750*f**2 - 4308*f + 2856 = 0.
-2, 1, 2, 119
Solve i**3/5 - 16*i**2 + 1677*i/5 - 3042/5 = 0 for i.
2, 39
Factor 3*g**2 - 1380*g + 158700.
3*(g - 230)**2
Factor -2*x**3/7 - 72*x**2/7 - 178*x/7 + 660/7.
-2*(x - 2)*(x + 5)*(x + 33)/7
Factor -2*k**3 - 20*k**2 + 368*k - 640.
-2*(k - 8)*(k - 2)*(k + 20)
Find d such that -2*d**4 + 466*d**3/7 + 372*d**2/7 - 1096*d/7 + 272/7 = 0.
-2, 2/7, 1, 34
Let 2*b**4/13 + 18*b**3/13 - 44*b**2/13 = 0. Calculate b.
-11, 0, 2
Find g, given that -g**4 + 28*g**3 + 29*g**2 = 0.
-1, 0, 29
What is n in -n**3/4 + 495*n**2/4 - 15498*n + 45387 = 0?
3, 246
Factor 4*b**2 - 200*b - 204.
4*(b - 51)*(b + 1)
Suppose -h**5 + 5*h**4 + 12*h**3 - 80*h**2 + 64*h = 0. What is h?
-4, 0, 1, 4
Factor -y**2/5 - 5788*y/5 - 8375236/5.
-(y + 2894)**2/5
Suppose -2*q**3/3 - 22*q**2/3 - 40*q/3 + 64/3 = 0. Calculate q.
-8, -4, 1
Find i such that i**2/6 + 133*i/6 + 86 = 0.
-129, -4
Let c**4/5 - 3*c**3 + 15*c**2 - 25*c = 0. Calculate c.
0, 5
Determine j so that -2058*j**5 - 7497*j**4 + 3024*j**3 + 300*j**2 - 144*j = 0.
-4, -3/14, 0, 2/7
Let 3*c**5/7 + 51*c**4/7 + 90*c**3/7 - 6*c**2/7 - 93*c/7 - 45/7 = 0. What is c?
-15, -1, 1
Factor -64*r**4/3 + 176*r**3/3 + 700*r**2 + 4361*r/3 + 2744/3.
-(r - 8)*(4*r + 7)**3/3
Suppose -5*n**3/3 - 1820*n**2/3 + 3655*n/3 - 610 = 0. What is n?
-366, 1
What is g in g**2/2 + 4112*g + 8454272 = 0?
-4112
Factor 3*w**2 + 5268*w + 2312652.
3*(w + 878)**2
Factor -3*v**2 + 42*v + 528.
-3*(v - 22)*(v + 8)
Factor 2*g**2/3 + 904*g.
2*g*(g + 1356)/3
Solve n**2/5 - 43*n - 2964/5 = 0 for n.
-13, 228
Determine q so that -3*q**3 - 37*q**2 - 40*q + 44 = 0.
-11, -2, 2/3
Suppose -5*w**4 + 38*w**3 + 21*w**2 - 38*w - 16 = 0. Calculate w.
-1, -2/5, 1, 8
What is s in -75*s**4/2 + 435*s**3/2 + 2457*s**2/8 + 219*s/4 + 21/8 = 0?
-1, -1/10, 7
Factor -2*t**3 - 6*t**2.
-2*t**2*(t + 3)
Factor -5*g**2 - 910*g.
-5*g*(g + 182)
Solve -q**5 - 26*q**4 - 93*q**3 - 112*q**2 - 44*q = 0.
-22, -2, -1, 0
Determine a so that 2*a**5 + 82*a**4 + 1038*a**3 + 4118*a**2 - 1040*a - 4200 = 0.
-21, -10, -1, 1
Factor -4*b**2 - 208*b - 204.
-4*(b + 1)*(b + 51)
Find j, given that -9*j**5/7 - 384*j**4/7 + 3351*j**3/7 + 2526*j**2/7 - 1200*j/7 = 0.
-50, -1, 0, 1/3, 8
Factor f**2 - 52*f + 51.
(f - 51)*(f - 1)
Factor -c**2/7 + 44*c/7 + 35.
-(c - 49)*(c + 5)/7
Determine z, given that z**4 - 13*z**3 + 56*z**2 - 92*z + 48 = 0.
1, 2, 4, 6
Suppose q**4 + 3*q**3 - 14*q**2 - 48*q - 32 = 0. What is q?
-4, -2, -1, 4
Suppose -6*l**3/17 - 464*l**2/17 - 62*l - 300/17 = 0. What is l?
-75, -2, -1/3
Suppose -2*d**5/11 - 54*d**4/11 + 306*d**3/11 - 442*d**2/11 + 192*d/11 = 0. What is d?
-32, 0, 1, 3
Factor -2*o**5/13 + 14*o**4/13 + 34*o**3/13 + 18*o**2/13.
-2*o**2*(o - 9)*(o + 1)**2/13
Solve s**3/12 + s**2/12 - 41*s/6 + 20/3 = 0.
-10, 1, 8
Solve -15*g**5 + 70*g**4 - 110*g**3 + 60*g**2 + 5*g - 10 = 0 for g.
-1/3, 1, 2
What is s in 2*s**2/3 - 392*s/3 + 130 = 0?
1, 195
Factor -2*x**3/7 + 1856*x**2/7 - 430592*x/7.
-2*x*(x - 464)**2/7
Factor 2*o**3/7 + 40*o**2/7 + 192*o/7.
2*o*(o + 8)*(o + 12)/7
Factor z**3/2 - 171*z**2/2 + 3432*z + 19360.
(z - 88)**2*(z + 5)/2
Factor 5*v**3 + 420*v**2 + 11760*v + 109760.
5*(v + 28)**3
Solve -4*k**4 - 44*k**3 + 840*k**2 = 0 for k.
-21, 0, 10
Suppose -2*f**2 + 1816*f - 412232 = 0. What is f?
454
Solve -2*l**2/7 + 160*l - 22400 = 0.
280
Suppose w**3/3 - w**2/3 - 5*w/3 - 1 = 0. Calculate w.
-1, 3
Factor -2*d**2/3 - 22*d/3 + 28.
-2*(d - 3)*(d + 14)/3
Suppose 3*x**3/4 - 27*x**2/2 + 315*x/4 - 147 = 0. Calculate x.
4, 7
Find f, given that -27*f**5 + 24*f**4 + 57*f**3 + 6*f**2 = 0.
-1, -1/9, 0, 2
Factor -4*i**4/5 - 1064*i**3/5 + 1296*i**2 - 13024*i/5 + 8704/5.
-4*(i - 2)**3*(i + 272)/5
Solve 18*u**3/5 - 19128*u**2 - 63766*u/5 - 10628/5 = 0.
-1/3, 5314
Find b such that -2*b**5/25 + 46*b**4/25 - 84*b**3/25 = 0.
0, 2, 21
Find o, given that 4*o**5 - 80*o**4 + 568*o**3 - 1680*o**2 + 1764*o = 0.
0, 3, 7
Determine u so that 2*u**2/3 - 1292*u + 625974 = 0.
969
Factor -5*j**2 + 10*j + 175.
-5*(j - 7)*(j + 5)
Factor o**2 - 144*o + 5184.
(o - 72)**2
Factor 4*d**2/5 + 728*d/5 + 33124/5.
4*(d + 91)**2/5
Factor -12*u**2 - 2456*u + 820.
-4*(u + 205)*(3*u - 1)
Find q, given that -2*q**5 - 20*q**4 - 18*q**3 + 216*q**2 + 216*q = 0.
-6, -1, 0, 3
Find m, given that 4*m**3 + 92*m**2 - 96*m = 0.
-24, 0, 1
Factor -9*b**5 + 204*b**4 - 1534*b**3 + 4284*b**2 - 3969*b.
-b*(b - 9)**2*(3*b - 7)**2
Solve -3*h**2 + 78*h + 2760 = 0.
-20, 46
What is n in 2*n**5/9 - 4*n**4/3 + 8*n**3/3 - 20*n**2/9 + 2*n/3 = 0?
0, 1, 3
Determine n so that -245*n**5 + 1120*n**4 - 825*n**3 - 1250*n**2 + 820*n - 120 = 0.
-1, 2/7, 2, 3
Factor 2*x**5/19 - 10*x**4/19 + 16*x**3/19 - 8*x**2/19.
2*x**2*(x - 2)**2*(x - 1)/19
Suppose 3*n**5 - 2295*n**4 = 0. What is n?
0, 765
Factor -2*k**3 - 66*k**2.
-2*k**2*(k + 33)
Factor -4*z**2 + 216*z - 416.
-4*(z - 52)*(z - 2)
Solve 28*w**4 + 92*w**3 + 24*w**2 = 0 for w.
-3, -2/7, 0
Factor 2*k**4 + 20*k**3 + 54*k**2 + 36*k.
2*k*(k + 1)*(k + 3)*(k + 6)
Solve 2*x**2/7 + 46*x/7 - 48/7 = 0.
-24, 1
Find u, given that -5*u**2 - 170*u - 1445 = 0.
-17
Factor 2*i**4/23 - 104*i**3/23 + 576*i**2/23 - 1120*i/23 + 32.
2*(i - 46)*(i - 2)**3/23
Factor -18*a**2 + 453*a - 75.
-3*(a - 25)*(6*a - 1)
Determine a, given that 2*a**2/13 + 42*a/13 + 40/13 = 0.
-20, -1
Find q such that q**2/8 + 11*q/4 + 121/8 = 0.
-11
Solve 4*h**4/7 - 4*h**3/7 - 4*h**2 + 52*h/7 - 24/7 = 0 for h.
-3, 1, 2
Factor g**4/9 - 2*g**3/3 - g**2/3 + 16*g/9 + 4/3.
(g - 6)*(g - 2)*(g + 1)**2/9
Solve 50*b**2/3 + 164*b/9 + 14/9 = 0 for b.
-1, -7/75
Suppose 8*k**3/3 - 98*k**2/3 + 112*k/3 - 22/3 = 0. Calculate k.
1/4, 1, 11
Factor 2*k**5/19 - 564*k**4/19 - 566*k**3/19.
2*k**3*(k - 283)*(k + 1)/19
Find w, given that -3*w**2/7 - 51*w - 2970/7 = 0.
-110, -9
Factor 3*i**4/8 - 423*i**3/2 + 10071*i**2/8 - 7533*i/4.
3*i*(i - 558)*(i - 3)**2/8
Factor -p**4/3 + p**3/3 + 34*p**2/3 + 56*p/3.
-p*(p - 7)*(p + 2)*(p + 4)/3
Determine q, given that 8*q**3 + 670*q**2 - 9384*q + 2304 = 0.
-96, 1/4, 12
Factor 4*d**5 + 136*d**4 + 1284*d**3 + 2176*d**2 + 1024*d.
4*d*(d + 1)**2*(d + 16)**2
Factor -488*b**2 + 500*b - 12.
-4*(b - 1)*(122*b - 3)
Factor -2*w**3/3 - 260*w**2 - 33800*w - 4394000/3.
-2*(w + 130)**3/3
Factor 16*x**3 - 468*x**2 - 16*x + 468.
4*(x - 1)*(x + 1)*(4*x - 117)
Factor 7*l**4/6 - 31*l**3/6 + 20*l**2/3 - 2*l.
l*(l - 2)**2*(7*l - 3)/6
Factor 2*p**3/19 + 170*p**2/19 + 2944*p/19 - 29624/19.
2*(p - 7)*(p + 46)**2/19
Factor 3*d**3 - 12*d**2 + 3*d + 18.
3*(d - 3)*(d - 2)*(d + 1)
Factor 5*y**2 - 2190*y + 4360.
5*(y - 436)*(y - 2)
Factor 3*z**2/5 + 1296*z/5 + 139968/5.
3*(z + 216)**2/5
Determine j, given that 2*j**5 + 8*j**4 - 18*j**3 - 64*j**2 + 56*j + 96 = 0.
-4, -3, -1, 2
Factor 2*f**4/7 + 16*f**3/7 + 32*f**2/7.
2*f**2*(f + 4)**2/7
Factor -5*w**4 - 25*w**3 - 20*w**2.
-5*w**2*(w + 1)*(w + 4)
Factor -22*z**4 + 642*z**3 - 116*z**2.
-2*z**2*(z - 29)*(11*z - 2)
Determine y, given that 3*y**2/5 - 2061*y/5 - 2064/5 = 0.
-1, 688
Factor -5*n**3 + 100*n**2 - 385*n - 490.
-5*(n - 14)*(n - 7)*(n + 1)
Suppose 55*s**3 + 280*s**2 + 405*s + 180 = 0. What is s?
-3, -12/11, -1
Factor -3*q**4/5 + 3*q**3/5 + 12*q**2/5 - 12*q/5.
-3*q*(q - 2)*(q - 1)*(q + 2)/5
Find k, given that -k**2 + 294*k - 584 = 0.
2, 292
Suppose 2*j**2 - 90*j - 92 = 0. Calculate j.
-1, 46
Factor -t**2/4 - 3*t/4 + 9/2.
-(t - 3)*(t + 6)/4
Factor 2*a**2/23 - 756*a/23 - 1520/23.
2*(a - 380)*(a + 2)/23
Factor f**4/6 - 2*f**2 - 8*f/3.
f*(f - 4)*(f + 2)**2/6
Determine j, given that j**3/10 - 37*j**2/5 + 646*j/5 + 1444/5 = 0.
-2, 38
Factor -2*u**2/13 - 18*u.
-2*u*(u + 117)/13
Determine h so that 4*h**2 - 6*h = 0.
0, 3/2
Find i such that i**5/5 + 11*i**4/5 - 26*i**3/5 + 2*i**2/5 + 5*i - 13/5 = 0.
-13, -1, 1
Factor -p**2/3 - 146*p - 15987.
-(p + 219)**2/3
Find l, given that 3*l**4/4 + 3*l**3/2 - 3*l**2/4 - 3*l/2 = 0.
-2, -1, 0, 1
Suppose q**3 - 21*q - 20 = 0. Calculate q.
-4, -1, 5
Determine p, given that -2*p**4/9 + 8*p**3/9 + 62*p**2/3 + 592*p/9 + 416/9 = 0.
-4, -1, 13
Solve -94*d**3/11 - 546*d**2/11 + 108*d/11 = 0 for d.
-6, 0, 9/47
Solve 15*w**2/4 + 162*w - 132 = 0.
-44, 4/5
Determine k so that 2*k**5 - k**4 - 18*k**3 + 17*k**2 + 20*k - 12 = 0.
-3, -1, 1/2, 2
Let -4*c**5 - 384*c**4 - 9592*c**3 - 1804