1, 1
Determine m, given that -5*m**5 - 30*m**4 - 25*m**3 + 100*m**2 + 180*m + 80 = 0.
-4, -2, -1, 2
Factor 2*l**4/15 - 104*l**3/15 - 106*l**2/15.
2*l**2*(l - 53)*(l + 1)/15
Suppose -14*s**3 + 84*s**2 - 622*s/7 + 132/7 = 0. What is s?
2/7, 1, 33/7
Solve -2*q**2 - 42*q = 0.
-21, 0
Factor -324*f**4 + 180*f**3 + 128*f**2 + 16*f.
-4*f*(f - 1)*(9*f + 2)**2
Factor 2*w**5/11 + 2*w**4/11 - 10*w**3/11 + 6*w**2/11.
2*w**2*(w - 1)**2*(w + 3)/11
Factor -z**5/2 - 23*z**4/2 - 84*z**3 - 160*z**2 + 256*z.
-z*(z - 1)*(z + 8)**3/2
Factor 2*u**3/15 + 16*u**2/15 - 26*u/5 - 36.
2*(u - 6)*(u + 5)*(u + 9)/15
Factor -2662*g**5/7 + 12100*g**4/7 - 16720*g**3/7 + 6880*g**2/7 - 160*g + 64/7.
-2*(g - 2)**2*(11*g - 2)**3/7
Let -4*v**3/5 + 6*v**2/5 + 76*v/5 - 144/5 = 0. Calculate v.
-9/2, 2, 4
Suppose -2*f**4/7 + 6*f**3/7 + 20*f**2/7 = 0. What is f?
-2, 0, 5
Factor -189*n**2 - 2274*n - 72.
-3*(n + 12)*(63*n + 2)
Factor w**3/4 + 57*w**2 + 3360*w + 12544.
(w + 4)*(w + 112)**2/4
Factor -2*c**4/11 + 36*c**3/11 - 210*c**2/11 + 392*c/11.
-2*c*(c - 7)**2*(c - 4)/11
Factor -2*a**2/19 + 88*a/19 + 184/19.
-2*(a - 46)*(a + 2)/19
Suppose 2*a**4 - 40*a**3 + 166*a**2 - 248*a + 120 = 0. What is a?
1, 2, 15
Solve 3*x**4 - 180*x**3 + 522*x**2 - 516*x + 171 = 0.
1, 57
What is b in 15*b**5/8 - 342*b**4 + 1149*b**3 - 5655*b**2/4 + 5913*b/8 - 537/4 = 0?
2/5, 1, 179
Determine q, given that 2*q**4 + 12*q**3 - 122*q**2 + 252*q - 144 = 0.
-12, 1, 2, 3
Suppose s**2/2 + 822*s + 337842 = 0. Calculate s.
-822
Factor -c**3/4 + 13*c**2/4 + 4*c - 7.
-(c - 14)*(c - 1)*(c + 2)/4
Find g such that -3*g**2 - 36*g = 0.
-12, 0
Factor -5*j**2 - 3040*j - 462080.
-5*(j + 304)**2
Factor -2*c**3 + 38*c**2 + 40*c.
-2*c*(c - 20)*(c + 1)
Solve s**5/4 - 63*s**4/4 + 1083*s**3/4 - 2881*s**2/4 + 690*s - 225 = 0 for s.
1, 30
Find i such that -25*i**5 + 15*i**4 + 35*i**3 - 15*i**2 - 10*i = 0.
-1, -2/5, 0, 1
Let 2*u**3 + 2*u**2 - 4*u = 0. Calculate u.
-2, 0, 1
Factor o**5 - 7*o**4 - o**3 + 7*o**2.
o**2*(o - 7)*(o - 1)*(o + 1)
Solve -2*w**4/5 - 6*w**3/5 + 108*w**2/5 - 296*w/5 + 48 = 0.
-10, 2, 3
Suppose -5*q**2/3 + 35*q/3 - 20 = 0. Calculate q.
3, 4
Let 3*m**5 + 276*m**4 + 1326*m**3 + 1836*m**2 + 783*m = 0. Calculate m.
-87, -3, -1, 0
Factor h**4/2 + 165*h**3/2 - 167*h**2/2 - 165*h/2 + 83.
(h - 1)**2*(h + 1)*(h + 166)/2
Factor 3926886*b**2 - 6472*b + 8/3.
2*(2427*b - 2)**2/3
Factor 678*c**3 - 2716*c**2 + 2728*c - 16.
2*(c - 2)**2*(339*c - 2)
Solve -2*n**3/9 - 92*n**2/9 - 1144*n/9 - 1936/9 = 0 for n.
-22, -2
Solve 2*l**3 - 2*l**2 - 20*l - 16 = 0 for l.
-2, -1, 4
Find u such that -27*u**3 + 384*u**2 - 84*u = 0.
0, 2/9, 14
Find o such that o**3 + 451*o**2 - 452*o = 0.
-452, 0, 1
Determine d so that 2*d**5 + 12*d**4 - 86*d**3 - 40*d**2 + 216*d + 160 = 0.
-10, -1, 2, 4
Let 2*q**5 - 34*q**4 + 72*q**3 + 760*q**2 - 800*q = 0. Calculate q.
-4, 0, 1, 10
Determine w so that 2*w**5 + 24*w**4 + 74*w**3 - 36*w**2 - 256*w + 192 = 0.
-6, -4, 1
Suppose 3*m**2 + 6*m - 9 = 0. What is m?
-3, 1
Factor 105*p**3 - 425*p**2 + 440*p - 20.
5*(p - 2)**2*(21*p - 1)
Factor 54*s**4/5 + 456*s**3/5 + 584*s**2/15 + 64*s/15.
2*s*(s + 8)*(9*s + 2)**2/15
Find k such that -4665027*k**2 - 2494*k - 1/3 = 0.
-1/3741
Factor 2*n**3/9 - 16*n**2/9 + 10*n/9 + 100/9.
2*(n - 5)**2*(n + 2)/9
Suppose -d**5/2 + 236*d**4 - 41772*d**3 + 3286064*d**2 - 96938888*d = 0. Calculate d.
0, 118
Let 4*l**2/7 - 4*l/7 = 0. What is l?
0, 1
Solve -2*l**2/7 - 10*l - 68/7 = 0.
-34, -1
Factor -2*r**2/9 - 26*r/9.
-2*r*(r + 13)/9
Determine m, given that 3*m**2/4 + 1965*m + 1287075 = 0.
-1310
Suppose -10*x**4/13 + 174*x**3/13 + 772*x**2/13 - 336*x/13 = 0. What is x?
-4, 0, 2/5, 21
What is d in 4*d**3 + 4564*d**2 - 9140*d + 4572 = 0?
-1143, 1
Factor 2*n**4/7 + 162*n**3/7 + 1020*n**2/7 - 1184*n/7.
2*n*(n - 1)*(n + 8)*(n + 74)/7
Factor 5*g**5 + 10*g**4 - 25*g**3 - 30*g**2.
5*g**2*(g - 2)*(g + 1)*(g + 3)
Suppose -3*c**3/7 + 1830*c**2/7 + 3669*c/7 + 1836/7 = 0. Calculate c.
-1, 612
Let 2*y**5 - 22*y**4/3 - 14*y**3/3 + 22*y**2/3 + 8*y/3 = 0. Calculate y.
-1, -1/3, 0, 1, 4
Solve -q**4/4 + 9*q**3/4 - 11*q**2/4 - 21*q/4 = 0.
-1, 0, 3, 7
Factor -5*c**5 + 60*c**4 + 680*c**3 + 2240*c**2 + 3120*c + 1600.
-5*(c - 20)*(c + 2)**4
What is s in s**3/10 - 48*s**2/5 + 441*s/2 + 2401/5 = 0?
-2, 49
Factor -5*i**4/3 + 4*i**3/3 + 5*i**2/3 - 4*i/3.
-i*(i - 1)*(i + 1)*(5*i - 4)/3
Solve -z**2 - 228*z - 452 = 0 for z.
-226, -2
Find t, given that 441*t**5/4 + 672*t**4 + 5545*t**3/4 + 2019*t**2/2 + 87*t + 2 = 0.
-2, -1/21
Factor 10*w**2/11 - 1984*w/11 + 72.
2*(w - 198)*(5*w - 2)/11
Find q such that q**5 - 101*q**4/7 + 409*q**3/7 - 383*q**2/7 - 92*q/7 + 160/7 = 0.
-4/7, 1, 5, 8
Determine t so that 3*t**2 + 120*t - 123 = 0.
-41, 1
Let -d**4/4 - 5*d**3/4 - 2*d**2 - d = 0. Calculate d.
-2, -1, 0
Factor n**4 - 12*n**2 + 16*n.
n*(n - 2)**2*(n + 4)
Suppose 2*x**4/17 - 4*x**3/17 - 16*x**2/17 = 0. What is x?
-2, 0, 4
Suppose 22*f**2/7 - 328*f/7 - 30/7 = 0. Calculate f.
-1/11, 15
Suppose 196*j**4 - 3745*j**3/2 - 873*j**2 - 22*j + 20 = 0. Calculate j.
-2/7, 1/8, 10
Factor -14*c**3 + 172*c**2 + 582*c - 180.
-2*(c - 15)*(c + 3)*(7*c - 2)
Factor -68*a**2/3 - 1964*a/3 + 232/3.
-4*(a + 29)*(17*a - 2)/3
Factor 32*k**3 + 31*k**2 - k.
k*(k + 1)*(32*k - 1)
What is b in 110*b**4 - 1005*b**3 + 1785*b**2 + 2525*b - 375 = 0?
-1, 3/22, 5
Factor -q**3 + 52*q**2 + 4*q - 208.
-(q - 52)*(q - 2)*(q + 2)
Let -l**5 - 2*l**4 + 17*l**3 + 34*l**2 - 16*l - 32 = 0. What is l?
-4, -2, -1, 1, 4
Factor -4*g**3/3 - 2585*g**2/3 - 643*g/3 + 646.
-(g + 1)*(g + 646)*(4*g - 3)/3
Factor 3*l**5 - 12*l**3 - 6*l**2 + 9*l + 6.
3*(l - 2)*(l - 1)*(l + 1)**3
Determine t so that 4*t**5 + 108*t**4 + 864*t**3 + 1728*t**2 = 0.
-12, -3, 0
Factor 3*d**3 + 24*d**2 - 612*d + 2160.
3*(d - 6)**2*(d + 20)
Suppose 3*f**4/5 - 27*f**3/5 - 234*f**2/5 - 516*f/5 - 72 = 0. Calculate f.
-2, 15
Suppose 2*u**5/3 + 20*u**4/3 - 136*u**3/3 + 68*u**2 - 30*u = 0. Calculate u.
-15, 0, 1, 3
What is m in 24*m**5 - 284*m**4 - 376*m**3 + 144*m**2 + 160*m - 52 = 0?
-1, 1/3, 1/2, 13
Suppose 4*x**2 + 1288*x + 1284 = 0. Calculate x.
-321, -1
What is c in -c**4 + 3*c**3 + 4*c**2 = 0?
-1, 0, 4
Let -2*f**5/17 + 56*f**4/17 - 332*f**3/17 - 840*f**2/17 - 450*f/17 = 0. What is f?
-1, 0, 15
Factor -6*z**4/7 - 2574*z**3/7 + 2580*z**2/7.
-6*z**2*(z - 1)*(z + 430)/7
Suppose -121*q**3 - 99*q**2 + 46*q + 24 = 0. What is q?
-1, -4/11, 6/11
Factor -3*q**2 - 18*q - 24.
-3*(q + 2)*(q + 4)
Find v, given that 3*v**4 + 27*v**3 + 51*v**2 - 27*v - 54 = 0.
-6, -3, -1, 1
Factor -d**2/7 + d - 6/7.
-(d - 6)*(d - 1)/7
Determine u, given that 6*u**5/11 - 10*u**4/11 - 28*u**3/11 + 4*u**2/11 + 2*u + 6/11 = 0.
-1, -1/3, 1, 3
Factor -2*x**3 + 2*x**2 + 12*x.
-2*x*(x - 3)*(x + 2)
Factor -y**4/3 + 10*y**3/3 + y**2 - 28*y/3 - 20/3.
-(y - 10)*(y - 2)*(y + 1)**2/3
Solve 2*d**5 - 184*d**4 + 5760*d**3 - 64800*d**2 + 108000*d = 0 for d.
0, 2, 30
What is z in 4*z**3 - 16*z**2 - 4*z + 16 = 0?
-1, 1, 4
What is g in -80*g**3 + 120*g**2 + 75*g + 10 = 0?
-1/4, 2
Find t, given that -4*t**5 - 91*t**4 - 493*t**3 + 221*t**2 + 497*t - 130 = 0.
-13, -10, -1, 1/4, 1
Let 14*s**2/3 + 100*s/3 + 14/3 = 0. Calculate s.
-7, -1/7
Find v such that -20*v**5 + 2988*v**4 - 107632*v**3 - 297904*v**2 - 94848*v + 92416 = 0.
-2, -1, 2/5, 76
Find g, given that -5*g**5 + 5*g**4 + 85*g**3 - 105*g**2 - 360*g + 540 = 0.
-3, 2, 3
Solve 2*o**4/9 - 38*o**3/9 - 44*o**2/3 - 8*o/9 + 176/9 = 0.
-2, 1, 22
Factor -2*g**4/19 + 134*g**3/19 - 2310*g**2/19 + 2178*g/19.
-2*g*(g - 33)**2*(g - 1)/19
Factor -2*o**3 - 152*o**2 - 584*o - 576.
-2*(o + 2)**2*(o + 72)
Factor 27*j**5 + 27*j**4 - 342*j**3 - 676*j**2 - 440*j - 96.
(j - 4)*(j + 3)*(3*j + 2)**3
Factor 5*v**4/4 - 85*v**3/4 + 55*v**2/4 + 3025*v/4.
5*v*(v - 11)**2*(v + 5)/4
Solve 3*r**4 - 45*r**2 - 30*r + 72 = 0.
-3, -2, 1, 4
Factor 2*a**3/13 + 68*a**2/13 + 738*a/13 + 2592/13.
2*(a + 9)**2*(a + 16)/13
Factor 4*a**5 - 164*a**4 - 340*a**3 - 172*a**2.
4*a**2*(a - 43)*(a + 1)**2
Factor -b**5/3 + 13*b**4/3 + 29*b**3/3 + 5*b**2.
-b**2*(b - 15)*(b + 1)**2/3
What is y in -y**5/7 - 249*y**4/7 + 1007*y**3/7 - 1263*y**2/7 + 506*y/7 = 0?
-253, 0, 1, 2
Find w such that -2*w**4/5 - 56*w**3/5 + 2*w**2/5 + 56*w/5 = 0.
-28, -1, 0, 1
Solve 2*h**3/13 + 16*h**2/13 - 90*h/13 + 72/13 = 0 for h.
-12, 1, 3
Factor -8*i**3/3 - 176*i**2/3 - 1274*i/3 - 1014.
-2*(i + 9)*(2*