-24, 4/3
Solve -f**4/7 + 13*f**3/7 + 82*f**2/7 + 20*f + 72/7 = 0 for f.
-2, -1, 18
Factor -22*f**2/7 + 2*f + 36/7.
-2*(f + 1)*(11*f - 18)/7
Find a such that 2*a**2 - 4*a - 30 = 0.
-3, 5
Solve -5*j**2 + 35*j - 60 = 0.
3, 4
Find i, given that -2*i**2/9 - 820*i/9 - 5642/9 = 0.
-403, -7
Solve 6*y**4/7 + 466*y**3/7 + 4772*y**2/7 + 10104*y/7 + 4752/7 = 0 for y.
-66, -9, -2, -2/3
Factor 4*o**2 + 196*o + 376.
4*(o + 2)*(o + 47)
Solve 4*p**3 + 8*p**2 - 116*p - 120 = 0 for p.
-6, -1, 5
Find w, given that -27*w**4/7 + 1026*w**3/7 - 1980*w**2/7 + 1304*w/7 - 288/7 = 0.
2/3, 36
Solve -n**5/3 + 2*n**4 + 7*n**3/3 - 20*n**2 = 0 for n.
-3, 0, 4, 5
Determine d, given that -d**5 - 5*d**4 - d**3 + 17*d**2 + 22*d + 8 = 0.
-4, -1, 2
Factor 3*y**2/4 + 69*y/2 + 999/4.
3*(y + 9)*(y + 37)/4
What is p in -p**4/2 + 31*p**3 + p**2/2 - 31*p = 0?
-1, 0, 1, 62
Suppose 3*o**4 + 147*o**3 + 2439*o**2 + 14433*o + 12138 = 0. What is o?
-17, -14, -1
Solve 4*x**4 - 172*x**3 - 928*x**2 - 1520*x - 768 = 0 for x.
-2, -1, 48
Factor -2*d**4/11 + 2*d**3 - 78*d**2/11 + 90*d/11.
-2*d*(d - 5)*(d - 3)**2/11
Factor -4*m**4 - 8*m**3 + 8*m + 4.
-4*(m - 1)*(m + 1)**3
Determine z, given that 20*z**5 - 85*z**4 - 35*z**3 + 190*z**2 + 120*z = 0.
-1, -3/4, 0, 2, 4
Factor -4*p**4 + 4*p**3 + 4*p**2 - 4*p.
-4*p*(p - 1)**2*(p + 1)
Factor -2*q**2 + 84*q - 160.
-2*(q - 40)*(q - 2)
Find i, given that i**3/6 - 76*i**2/3 + 2888*i/3 = 0.
0, 76
Suppose -12*c**2 + 92*c - 56 = 0. Calculate c.
2/3, 7
Factor -5*a**2/3 + 170*a/3 + 175/3.
-5*(a - 35)*(a + 1)/3
Solve 2*g**2/5 - 66*g/5 = 0.
0, 33
Solve y**3/3 - y**2 + 2*y/3 = 0 for y.
0, 1, 2
Solve 2*w**5/3 + 100*w**4/3 + 1528*w**3/3 + 5936*w**2/3 - 6272*w = 0.
-24, -14, 0, 2
Suppose 80*r**5 + 200*r**4 + 165*r**3 + 50*r**2 + 5*r = 0. Calculate r.
-1, -1/4, 0
Factor 5*o**2/3 - 25*o/3.
5*o*(o - 5)/3
Factor -2*r**4 + 84*r**3 + 190*r**2 - 624*r + 352.
-2*(r - 44)*(r - 1)**2*(r + 4)
Determine x, given that 3*x**5/5 - 93*x**4/5 + 858*x**3/5 - 1542*x**2/5 - 1209*x - 3549/5 = 0.
-1, 7, 13
Suppose -484*j**5 + 5412*j**4 - 12588*j**3 - 15268*j**2 + 3072*j - 144 = 0. What is j?
-1, 1/11, 6
Suppose -2*q**5 - 284*q**4 + 24*q**3 + 3376*q**2 - 4544*q = 0. Calculate q.
-142, -4, 0, 2
Factor 324*c**3/7 + 31410*c**2/7 + 13912*c/7 + 1544/7.
2*(2*c + 193)*(9*c + 2)**2/7
Factor -f**5/5 - f**4/5 + 2*f**3/5 + 2*f**2/5 - f/5 - 1/5.
-(f - 1)**2*(f + 1)**3/5
Suppose 9*x**5 + 322*x**4 - 1854*x**3 + 2952*x**2 - 1675*x + 246 = 0. What is x?
-41, 2/9, 1, 3
Find j, given that -8*j**3/3 + 1466*j**2/9 - 122*j/9 = 0.
0, 1/12, 61
Solve -6*r**2/11 + 606*r/11 + 1872/11 = 0.
-3, 104
Factor w**4/8 + 39*w**3/4 + 1517*w**2/8 - 39*w - 1521/2.
(w - 2)*(w + 2)*(w + 39)**2/8
Factor -3*x**3/4 - 51*x**2/4 + 3*x + 51.
-3*(x - 2)*(x + 2)*(x + 17)/4
Solve -4*w**4/5 - 31*w**3/5 + 12*w**2/5 + 31*w/5 - 8/5 = 0.
-8, -1, 1/4, 1
Factor -3*g**3 + 15*g**2 + 132*g + 180.
-3*(g - 10)*(g + 2)*(g + 3)
Solve -3*l**2 - 33*l - 30 = 0.
-10, -1
Determine b so that -2*b**3 + 8*b = 0.
-2, 0, 2
Factor -z**3/4 - z**2 - 3*z/4.
-z*(z + 1)*(z + 3)/4
Find r such that 6*r**4/7 - 260*r**3/7 + 2726*r**2/7 + 2024*r/7 - 968/7 = 0.
-1, 1/3, 22
Factor 5*o**4 - 4*o**3 - 11*o**2 - 2*o.
o*(o - 2)*(o + 1)*(5*o + 1)
Factor -q**2 + 17*q.
-q*(q - 17)
Find k, given that 4*k**5 - 32*k**4 - 12*k**3 + 248*k**2 + 224*k = 0.
-2, -1, 0, 4, 7
Factor 4*k**3/5 - 912*k**2 + 36288*k/5 - 72448/5.
4*(k - 1132)*(k - 4)**2/5
Determine f so that f**5/3 + 4*f**4/3 - 14*f**3 + 32*f**2/3 + 41*f/3 - 12 = 0.
-9, -1, 1, 4
Suppose t**4/2 - 6*t**3 + 10*t**2 = 0. Calculate t.
0, 2, 10
Factor 5*o**4 - 30*o**3 - 95*o**2 + 120*o.
5*o*(o - 8)*(o - 1)*(o + 3)
Factor -x**4/2 - 5*x**3/2 - 3*x**2/2 + 5*x/2 + 2.
-(x - 1)*(x + 1)**2*(x + 4)/2
Factor 3*o**4 + 128*o**3/3 + 28*o**2/3.
o**2*(o + 14)*(9*o + 2)/3
Factor -5*n**3 + 17*n**2 - 16*n + 4.
-(n - 2)*(n - 1)*(5*n - 2)
Find w, given that -17298*w**2 + 744*w - 8 = 0.
2/93
Factor -u**3/4 - 45*u**2/2 - 375*u - 1750.
-(u + 10)**2*(u + 70)/4
Determine f, given that -f**5 - 5*f**4 + 7*f**3 + 41*f**2 + 30*f = 0.
-5, -2, -1, 0, 3
Solve 2*v**3 - 220*v**2 + 6050*v = 0 for v.
0, 55
Factor 3*y**4 - 138*y**3 - 435*y**2 - 294*y.
3*y*(y - 49)*(y + 1)*(y + 2)
Suppose 50*z**2/7 - 80*z/7 + 32/7 = 0. Calculate z.
4/5
Suppose 10*v**4/3 - 154*v**3/3 - 1600*v**2/3 + 9064*v/3 - 1120 = 0. What is v?
-10, 2/5, 4, 21
Let 24*a**5 + a**4 = 0. What is a?
-1/24, 0
Factor u**2/2 + 199*u/2 - 510.
(u - 5)*(u + 204)/2
Factor -s**3 - 55*s**2 - 303*s - 441.
-(s + 3)**2*(s + 49)
Factor -5*l**3 - 60*l**2 + 1280.
-5*(l - 4)*(l + 8)**2
Factor 2*t**4 - 4*t**3 - 6*t**2 + 8*t + 8.
2*(t - 2)**2*(t + 1)**2
Factor 3*x**2 - 18*x - 48.
3*(x - 8)*(x + 2)
Let 3*i**4/7 + 33*i**3/7 - 3*i**2/7 - 33*i/7 = 0. Calculate i.
-11, -1, 0, 1
Let -o**3/4 + 3*o**2/2 + o/4 - 3/2 = 0. Calculate o.
-1, 1, 6
Factor -3*p**2 - 69*p + 420.
-3*(p - 5)*(p + 28)
Factor 2*i**4 + 4*i**3 - 4*i - 2.
2*(i - 1)*(i + 1)**3
Find g, given that -g**2 - 4948*g - 6120676 = 0.
-2474
Suppose -2*v**2 + 8868*v - 9830178 = 0. What is v?
2217
Solve 4*a**3/9 + 472*a**2/9 + 4940*a/3 + 5776 = 0.
-57, -4
Solve c**4 - 5*c**3 + 9*c**2 - 7*c + 2 = 0 for c.
1, 2
Solve 15*k**4 - 43*k**3 - 21*k**2 + 43*k + 6 = 0.
-1, -2/15, 1, 3
Factor -d**4 - 7*d**3 - 5*d**2 + 7*d + 6.
-(d - 1)*(d + 1)**2*(d + 6)
Find b such that -3*b**2/8 - 2079*b/8 - 519/2 = 0.
-692, -1
Factor 36*y**2/5 - 2764*y/5 - 616/5.
4*(y - 77)*(9*y + 2)/5
Factor -2*m**5/3 - 108*m**4 - 4688*m**3 - 76768*m**2/3 - 49504*m - 32448.
-2*(m + 2)**3*(m + 78)**2/3
Find l such that -l**3/2 - 9*l**2 + 19*l/2 = 0.
-19, 0, 1
Determine p so that -p**5/3 - 7*p**4 - 116*p**3/3 - 32*p**2 = 0.
-12, -8, -1, 0
What is t in -22*t**2 + 372*t + 34 = 0?
-1/11, 17
Find a such that a**2/4 + 1415*a/2 - 2831/4 = 0.
-2831, 1
Determine b, given that -2*b**2 - 68*b = 0.
-34, 0
Find v, given that 5*v**5 - 120*v**4 + 585*v**3 - 830*v**2 + 360*v = 0.
0, 1, 4, 18
Factor b**5/6 + 13*b**4/6 + 11*b**3/2 + 31*b**2/6 + 5*b/3.
b*(b + 1)**3*(b + 10)/6
Let 4*u**3 + 48*u**2 + 108*u = 0. Calculate u.
-9, -3, 0
Factor 7*i**3 + 24201*i**2 + 6914*i.
i*(i + 3457)*(7*i + 2)
Factor 2*k**3/17 - 76*k**2/17 + 590*k/17 + 2508/17.
2*(k - 22)*(k - 19)*(k + 3)/17
Let 4*v**4 - 96*v**3 + 476*v**2 = 0. What is v?
0, 7, 17
Suppose -3*f**2 - 6060*f - 3060300 = 0. What is f?
-1010
What is l in -l**5/4 - 3*l**4 - 53*l**3/4 - 53*l**2/2 - 24*l - 8 = 0?
-4, -2, -1
Determine v so that 9*v**3 - 930*v**2 - 2553*v + 954 = 0.
-3, 1/3, 106
Determine y so that -3*y**4 + 81*y**3 - 585*y**2 + 507*y = 0.
0, 1, 13
What is x in -3*x**3 + 138*x**2 - 393*x + 258 = 0?
1, 2, 43
Find y such that -148*y**4 - 736*y**3 + 612*y**2 + 2944*y - 80 = 0.
-5, -2, 1/37, 2
What is k in 108*k**5/7 + 72*k**4/7 - 3345*k**3/7 + 2301*k**2/7 + 1530*k + 5400/7 = 0?
-6, -5/6, 3, 4
Find d, given that -3*d**2 - 51*d - 156 = 0.
-13, -4
Factor -k**2 + 192*k - 9216.
-(k - 96)**2
Factor -5*r**3 + 55*r**2 - 40*r - 100.
-5*(r - 10)*(r - 2)*(r + 1)
Find z, given that z**2/3 - 58*z/3 + 19 = 0.
1, 57
Factor -3*m**5 + 18*m**4 + 189*m**3 - 1176*m**2.
-3*m**2*(m - 7)**2*(m + 8)
Factor -b**2/2 + 1036*b - 536648.
-(b - 1036)**2/2
Factor -4*k**5 + 36*k**3.
-4*k**3*(k - 3)*(k + 3)
Determine b, given that b**3/10 - 11*b**2/5 - 73*b/10 - 5 = 0.
-2, -1, 25
What is z in 3*z**2/8 - 57*z/2 + 108 = 0?
4, 72
Factor 2*u**3/9 - 82*u**2/9 - 2162*u/9 + 2242/9.
2*(u - 59)*(u - 1)*(u + 19)/9
Factor -505*y**2 - 10*y.
-5*y*(101*y + 2)
Find d such that 3*d**2/8 + 675*d/4 + 336 = 0.
-448, -2
Factor -2*c**3 + 46*c**2 - 180*c.
-2*c*(c - 18)*(c - 5)
Suppose 9*d**2 - 159*d + 102 = 0. What is d?
2/3, 17
Determine s so that s**5/10 + 63*s**4/10 + 131*s**3 + 4913*s**2/5 + 3885*s/2 - 6125/2 = 0.
-25, -7, 1
Find p such that -3*p**5 + 309*p**4 - 8106*p**3 + 7494*p**2 + 8109*p - 7803 = 0.
-1, 1, 51
Factor -7*q**5/4 - 3*q**4/4.
-q**4*(7*q + 3)/4
Solve 3*x**3 + 387*x**2 + 12285*x - 12675 = 0 for x.
-65, 1
Determine d, given that -2*d**4/23 - 44*d**3/23 + 144*d**2/23 - 148*d/23 + 50/23 = 0.
-25, 1
Factor -3*d**4/4 + 33*d**3/2 - 45*d**2 + 87*d/2 - 57/4.
-3*(d - 19)*(d - 1)**3/4
Factor -q**3/3 + 7*q**2/3 + 14*q/3 - 40.
-(q - 6)*(q - 5)*(q + 4)/3
Determine f so that -3*f**3 + 24948*f**2 - 69155856*f + 63900010944 = 0.
2772
Factor -4*i**3 + 176*i**2 - 1748*i - 4232.
-4*(i - 23)**2*(i + 2)
Factor -4*m**5/7 - 1384*m**4/7 + 4188*m**3/7