, 49
Factor -18*q**5 - 10884*q**4 - 1648922*q**3 - 1095656*q**2 - 182408*q.
-2*q*(q + 302)**2*(3*q + 1)**2
Find y such that -y**4/2 - 8*y**3 - 7*y**2 + 8*y + 15/2 = 0.
-15, -1, 1
Suppose -2*q**5/3 - 46*q**4/3 + 322*q**3/3 - 730*q**2/3 + 688*q/3 - 232/3 = 0. What is q?
-29, 1, 2
What is o in -3*o**4/5 - 21*o**3/5 + 18*o**2/5 + 216*o/5 = 0?
-6, -4, 0, 3
Factor -4*o**2/3 - 28*o - 72.
-4*(o + 3)*(o + 18)/3
Find t such that -3*t**3 + 651*t**2 + 1974*t + 1320 = 0.
-2, -1, 220
What is q in q**5/10 + 8*q**4/5 + 77*q**3/10 + 11*q**2 + 24*q/5 = 0?
-8, -6, -1, 0
What is x in 3*x**2/4 + 333*x/2 + 36963/4 = 0?
-111
Determine r, given that -r**5/4 + 15*r**4/2 - 277*r**3/4 + 195*r**2 - 169*r = 0.
0, 2, 13
What is u in -25*u**3 - 35*u**2 - 11*u - 1 = 0?
-1, -1/5
Factor 3*p**2/4 - 117*p + 231.
3*(p - 154)*(p - 2)/4
What is k in -44*k**5/7 + 604*k**4/7 - 1284*k**3/7 - 5324*k**2/7 - 4160*k/7 - 768/7 = 0?
-1, -3/11, 8
Factor 3*l**3 + 42*l**2 - 405*l + 756.
3*(l - 4)*(l - 3)*(l + 21)
Solve 5*u**3 - 285*u**2 - 5*u + 285 = 0 for u.
-1, 1, 57
Solve -21*p**5/5 + 2346*p**4/5 + 693*p**3/5 - 2346*p**2/5 - 672*p/5 = 0 for p.
-1, -2/7, 0, 1, 112
Factor 3*d**3 - 216*d**2 + 825*d - 612.
3*(d - 68)*(d - 3)*(d - 1)
Factor 3*o**4 + 75*o**3/4 + 63*o**2/2 + 27*o/4.
3*o*(o + 3)**2*(4*o + 1)/4
Determine y, given that 2*y**2/5 + 54*y/5 + 144/5 = 0.
-24, -3
Find t, given that t**3/2 - 433*t**2/6 - 393*t/2 + 147/2 = 0.
-3, 1/3, 147
Let -t**3/2 - 2065*t**2/4 - 133386*t - 66564 = 0. What is t?
-516, -1/2
Let -2*w**4/5 + 2*w**3/5 + 6*w**2/5 - 2*w + 4/5 = 0. What is w?
-2, 1
Factor s**2 + 6260*s + 9796900.
(s + 3130)**2
Find i such that -4*i**3/7 - 60*i**2/7 - 248*i/7 - 192/7 = 0.
-8, -6, -1
Let -3*o**4 + 693*o**3 + 1395*o**2 + 699*o = 0. What is o?
-1, 0, 233
Solve -4*q**4 - 52*q**3 - 68*q**2 + 580*q + 600 = 0.
-10, -5, -1, 3
Find j, given that -j**5 - 2*j**4 + 74*j**3 + 400*j**2 + 575*j + 250 = 0.
-5, -1, 10
Let 2*z**5 + 110*z**4 - 602*z**3 - 110*z**2 + 600*z = 0. Calculate z.
-60, -1, 0, 1, 5
Suppose -5*v**2/2 + 11*v - 4 = 0. Calculate v.
2/5, 4
Determine u, given that -u**2/9 - 86*u/9 - 1849/9 = 0.
-43
Factor 3*p**3/2 + 54*p**2 + 477*p/2 + 186.
3*(p + 1)*(p + 4)*(p + 31)/2
Suppose -5*b**4 + 90*b**3 + 575*b**2 - 10500*b - 22500 = 0. What is b?
-10, -2, 15
Factor b**2/5 - 46*b/5 + 88/5.
(b - 44)*(b - 2)/5
Factor -2*b**2 - 130*b.
-2*b*(b + 65)
Factor r**2 - 37*r + 36.
(r - 36)*(r - 1)
Let z**3/3 - 13*z**2/3 - 11*z + 15 = 0. Calculate z.
-3, 1, 15
Factor -16*y**3 + 116*y**2 + 260*y - 72.
-4*(y - 9)*(y + 2)*(4*y - 1)
Find o such that -5*o**5 + 45*o**4 - 105*o**3 + 95*o**2 - 30*o = 0.
0, 1, 6
Factor 4*w**2 + 612*w - 616.
4*(w - 1)*(w + 154)
What is k in 3*k**4/8 - 3*k**3/4 - 3*k**2/8 + 3*k/4 = 0?
-1, 0, 1, 2
Suppose z**4 - 79*z**3 + 568*z**2 = 0. Calculate z.
0, 8, 71
Factor -3*f**2 - 30*f - 63.
-3*(f + 3)*(f + 7)
Suppose -3*k**5 - 144*k**4 - 138*k**3 + 144*k**2 + 141*k = 0. What is k?
-47, -1, 0, 1
Find c, given that -5*c**5 + 5*c**4 + 85*c**3 + 75*c**2 = 0.
-3, -1, 0, 5
Find d, given that -3*d**4/5 - 78*d**3/5 - 12*d**2 + 366*d/5 - 45 = 0.
-25, -3, 1
Factor -2*i**3/7 - 6*i**2/7 + 36*i/7.
-2*i*(i - 3)*(i + 6)/7
Determine l so that l**3/4 + l**2/4 - 25*l/4 - 25/4 = 0.
-5, -1, 5
Factor l**3 - 11*l**2 + 30*l.
l*(l - 6)*(l - 5)
Suppose -70*w**5 + 505*w**4 + 1060*w**3 + 575*w**2 + 90*w = 0. What is w?
-1, -1/2, -2/7, 0, 9
Find b, given that 3*b**4 + 42*b**3 + 48*b**2 - 288*b = 0.
-12, -4, 0, 2
Factor x**2 - 200*x + 10000.
(x - 100)**2
Suppose -4*v**4/3 + 8*v**3/3 + 16*v**2/3 - 32*v/3 = 0. Calculate v.
-2, 0, 2
Find q such that 15*q**3 - 95*q**2 - 340*q - 180 = 0.
-2, -2/3, 9
Factor 2*s**3/5 - 3036*s**2/5 + 1536216*s/5 - 259108432/5.
2*(s - 506)**3/5
What is o in 5*o**2 - 75*o + 180 = 0?
3, 12
Factor -5*f**2/2 + 4353*f/2 + 871.
-(f - 871)*(5*f + 2)/2
Solve -28*t**5 + 3156*t**4 - 117200*t**3 + 1381376*t**2 + 1940736*t + 438976 = 0.
-1, -2/7, 38
Suppose 22*v**5/5 - 12*v**4/5 - 22*v**3/5 + 12*v**2/5 = 0. What is v?
-1, 0, 6/11, 1
Factor z**4 + 4*z**3 + 3*z**2 - 4*z - 4.
(z - 1)*(z + 1)*(z + 2)**2
Determine m so that 2*m**3/3 + 8*m**2 - 18*m + 28/3 = 0.
-14, 1
Suppose 5*w**2 + 45*w + 90 = 0. Calculate w.
-6, -3
Factor -5*g**3 + 380*g**2 + 775*g + 390.
-5*(g - 78)*(g + 1)**2
Determine r so that r**3/4 + 181*r**2/2 + 358*r = 0.
-358, -4, 0
Determine b so that -2*b**4 - 298*b**3 - 11244*b**2 - 10360*b + 21904 = 0.
-74, -2, 1
Suppose -196*x**5 - 532*x**4 - 248*x**3 + 640*x**2/7 + 384*x/7 = 0. Calculate x.
-2, -4/7, 0, 3/7
Determine z, given that z**3/9 + 4*z**2/9 - z/9 - 4/9 = 0.
-4, -1, 1
Factor -3*r**3 - 47*r**2 - 149*r + 55.
-(r + 5)*(r + 11)*(3*r - 1)
Suppose -5*w**2/2 - 215*w/2 + 110 = 0. What is w?
-44, 1
Suppose 2*z**3/5 - 472*z**2/5 - 190*z - 476/5 = 0. Calculate z.
-1, 238
Determine i, given that -3*i**4 + 741*i**3 - 64449*i**2 + 2223375*i - 21913584 = 0.
16, 77
Factor -2*h**2/7 - 36*h/7 + 38/7.
-2*(h - 1)*(h + 19)/7
Factor 4*t**2 + 68*t + 64.
4*(t + 1)*(t + 16)
Let -2*n**3 - 56*n**2 - 54*n = 0. What is n?
-27, -1, 0
Factor -2*r**5/3 - 214*r**4/3 - 836*r**3/3 - 1244*r**2/3 - 826*r/3 - 206/3.
-2*(r + 1)**4*(r + 103)/3
Let 6*x**3 - 51*x**2 + 120*x - 48 = 0. What is x?
1/2, 4
Factor -4*d**2/9 - 44*d/3 + 136/9.
-4*(d - 1)*(d + 34)/9
Factor -l**2/2 + 547*l/2 - 545.
-(l - 545)*(l - 2)/2
Determine h, given that 5*h**5/6 - 50*h**4/3 + 415*h**3/6 - 310*h**2/3 + 50*h = 0.
0, 1, 2, 15
Determine q, given that 6*q**5 - 76*q**4 + 344*q**3/3 - 52*q**2 + 22*q/3 = 0.
0, 1/3, 1, 11
Let -2*p**5/11 - 10*p**4/11 + 14*p**3/11 + 10*p**2/11 - 12*p/11 = 0. Calculate p.
-6, -1, 0, 1
Suppose -2*u**2/9 - 10*u - 28 = 0. Calculate u.
-42, -3
Find p such that 42*p**2 - 128*p + 6 = 0.
1/21, 3
Factor 26*j**3/21 - 36*j**2/7 + 40*j/7 - 16/21.
2*(j - 2)**2*(13*j - 2)/21
Suppose 2*s**2 - 62*s - 280 = 0. Calculate s.
-4, 35
Let -g**3/9 - 112*g**2/9 - 1007*g/3 + 722 = 0. Calculate g.
-57, 2
Find m, given that -m**2 + 61*m + 552 = 0.
-8, 69
Determine t, given that 245*t**4 - 350*t**3 + 115*t**2 - 10*t = 0.
0, 1/7, 2/7, 1
What is j in -3*j**4/7 - 9*j**3/7 + 3*j**2/7 + 9*j/7 = 0?
-3, -1, 0, 1
Suppose -3*h**4/4 + 573*h**3/4 - 7050*h**2 + 19881*h = 0. Calculate h.
0, 3, 94
Determine h, given that -h**4/2 + 67*h**3/2 - 257*h**2/2 + 317*h/2 - 63 = 0.
1, 2, 63
Factor 8*b**2/7 + 86*b/7 - 94/7.
2*(b - 1)*(4*b + 47)/7
Factor -f**2/5 - 5866*f/5 - 8602489/5.
-(f + 2933)**2/5
Determine x so that 3*x**4/4 + 141*x**3/2 + 6903*x**2/4 + 3243*x + 1587 = 0.
-46, -1
Factor 4*m**5 - 32*m**4 + 84*m**3 - 56*m**2 - 80*m + 96.
4*(m - 3)*(m - 2)**3*(m + 1)
What is n in 50*n**4/21 - 20*n**3/3 + 46*n**2/7 - 8*n/3 + 8/21 = 0?
2/5, 1
Factor 4*m**4/7 - 12*m**3/7 - 20*m**2/7 + 12*m/7 + 16/7.
4*(m - 4)*(m - 1)*(m + 1)**2/7
Suppose 2*o**5/15 + 28*o**4/5 - 18*o**3 + 8*o**2/15 + 24*o = 0. Calculate o.
-45, -1, 0, 2
Let 2*w**2/11 + 1604*w/11 - 3216/11 = 0. What is w?
-804, 2
Suppose 169*j**5 + 312*j**4 - 220*j**3 - 310*j**2 + 51*j - 2 = 0. What is j?
-2, -1, 1/13, 1
Determine j, given that -2*j**4/3 - 38*j**3/3 - 82*j**2 - 602*j/3 - 392/3 = 0.
-7, -4, -1
Find u, given that -4*u**2 + 268*u + 552 = 0.
-2, 69
Determine w, given that w**3/3 - 22*w**2/3 + 53*w/3 + 76/3 = 0.
-1, 4, 19
Solve -2*b**5 + 2*b**4 + 36*b**3 - 36*b**2 - 162*b + 162 = 0 for b.
-3, 1, 3
Suppose 630*m**5 + 1167*m**4 + 660*m**3 + 129*m**2 + 6*m = 0. What is m?
-1, -1/2, -2/7, -1/15, 0
Factor s**2 - 438*s + 872.
(s - 436)*(s - 2)
Suppose -m**2 - 317*m/5 - 126/5 = 0. What is m?
-63, -2/5
Factor -4*p**3 + 384*p**2 - 12288*p + 131072.
-4*(p - 32)**3
Find s, given that -14*s**5/3 - 26*s**4/5 + 8*s**2/15 = 0.
-1, -2/5, 0, 2/7
Suppose -4*q**4 + 748*q**3 - 2940*q**2 + 2196*q = 0. What is q?
0, 1, 3, 183
Factor -4*m**4 - 72*m**3 - 192*m**2 - 184*m - 60.
-4*(m + 1)**3*(m + 15)
Factor -245*u**3 + 1750*u**2 - 4140*u + 3240.
-5*(u - 2)*(7*u - 18)**2
What is b in b**2 + 53*b = 0?
-53, 0
Factor 2*s**2/19 - 170*s/19 - 2328/19.
2*(s - 97)*(s + 12)/19
What is l in -2*l**3/3 - 137*l**2/3 + 24*l + 69 = 0?
-69, -1, 3/2
Factor -2*q**4/11 + 4*q**3/11 + 14*q**2/11 + 8*q/11.
-2*q*(q - 4)*(q + 1)**2/11
Factor -3*b**5 - 72*b**4 - 258*b**3 - 372*b**2 - 243*b - 60.
-3*(b + 1)**4*(b + 20)
Factor w**2/4 - 409*w/4.
w*(w - 409)/4
Determine m so that -2*m**5/11 + 194*m**4/11 - 6518*m**3/11 + 83390*m**2/11 - 261392*m/11 + 238328/11 =