*3 + 18*u**2 + 27*u + 12.
3*(u + 1)**2*(u + 4)
Determine f, given that -5*f**2 + 75*f = 0.
0, 15
Suppose 2*t**5 + 10*t**4 - 6*t**3 - 58*t**2 + 4*t + 48 = 0. Calculate t.
-4, -3, -1, 1, 2
Factor j**5 - 70*j**4 + 1656*j**3 - 13754*j**2 + 12167*j.
j*(j - 23)**3*(j - 1)
What is b in 4*b**4/3 - 6*b**3 + 8*b**2 - 8*b/3 = 0?
0, 1/2, 2
Determine n so that -2*n**4/17 + 4*n**3/17 + 8*n**2/17 - 4*n/17 - 6/17 = 0.
-1, 1, 3
Suppose 10*j**5/3 + 18*j**4 + 30*j**3 + 58*j**2/3 + 4*j = 0. Calculate j.
-3, -1, -2/5, 0
Solve -2*v**3/11 + 18*v**2/11 - 16*v/11 = 0 for v.
0, 1, 8
Factor 25*m**3 + 3640*m**2 + 9265*m - 4290.
5*(m + 3)*(m + 143)*(5*m - 2)
Suppose -5*x**2 + 1195*x - 1190 = 0. What is x?
1, 238
Factor -2*s**3/15 + 52*s**2/15 - 86*s/5 + 24.
-2*(s - 20)*(s - 3)**2/15
Let 5*h**3 - 50*h**2 = 0. Calculate h.
0, 10
Factor -3*b**2/2 - 123*b/2.
-3*b*(b + 41)/2
Factor 8*t**3 + 9992*t**2 + 9986*t + 2496.
2*(t + 1248)*(2*t + 1)**2
Factor 4*r**3 - 143*r**2 + 131*r + 278.
(r - 2)*(r + 1)*(4*r - 139)
Find j such that 72*j**5 - 268*j**4 + 128*j**3 + 92*j**2 - 24*j = 0.
-1/2, 0, 2/9, 1, 3
Factor 5*a**4/6 - 130*a**3/3 + 490*a**2/3 - 160*a.
5*a*(a - 48)*(a - 2)**2/6
Suppose 2*m**4/5 - 22*m**3/5 - 164*m**2/5 + 2752*m/5 - 8448/5 = 0. Calculate m.
-11, 6, 8
Factor -5*b**3/3 - 2*b**2 - b/3.
-b*(b + 1)*(5*b + 1)/3
Suppose 5*q**5 - 20*q**4 + 15*q**3 + 20*q**2 - 20*q = 0. Calculate q.
-1, 0, 1, 2
Factor -2*j**2/9 - 8*j/3 + 56/9.
-2*(j - 2)*(j + 14)/9
Factor -4*r**3/9 - 80*r**2/9 + 172*r/9 - 88/9.
-4*(r - 1)**2*(r + 22)/9
What is n in -n**4 - 255*n**3 - 507*n**2 - 253*n = 0?
-253, -1, 0
Factor -2*w**2 + 1640*w - 336200.
-2*(w - 410)**2
What is w in 271*w**5/9 + 2*w**4/9 - 271*w**3/9 - 2*w**2/9 = 0?
-1, -2/271, 0, 1
Factor -5*x**4/2 - 5*x**3 + 15*x**2/2.
-5*x**2*(x - 1)*(x + 3)/2
Suppose a**4/5 + 4*a**3/5 - 6*a**2/5 - 4*a/5 + 1 = 0. Calculate a.
-5, -1, 1
Find h such that 48*h**5/7 + 352*h**4/7 + 468*h**3/7 - 64*h**2 + 60*h/7 = 0.
-5, -3, 0, 1/6, 1/2
Factor -3*x**5 + 6*x**4 + 36*x**3 + 42*x**2 + 15*x.
-3*x*(x - 5)*(x + 1)**3
Find q such that -q**2/9 - 530*q/3 - 70225 = 0.
-795
Factor -2346*u**3/11 - 4696*u**2/11 - 214*u - 4/11.
-2*(u + 1)**2*(1173*u + 2)/11
Find n, given that -n**3 - 13*n**2 + 14*n = 0.
-14, 0, 1
Factor 18*f**4/11 - 420*f**3 + 3074*f**2/11 - 512*f/11.
2*f*(f - 256)*(3*f - 1)**2/11
Suppose f**3/3 - 11*f**2/3 + 38*f/3 - 40/3 = 0. Calculate f.
2, 4, 5
Factor g**2/9 + 17*g/3 - 52/9.
(g - 1)*(g + 52)/9
Determine h, given that -4*h**3 + 40*h**2 + 96*h = 0.
-2, 0, 12
Find u, given that 2*u**3 - 3*u**2 - 18*u - 8 = 0.
-2, -1/2, 4
Factor 2*o**3/19 + 16*o**2/19 - 18*o/19 - 144/19.
2*(o - 3)*(o + 3)*(o + 8)/19
Find d such that d**5/9 + 2*d**4/3 + 5*d**3/9 - 16*d**2/9 - 4*d/3 + 16/9 = 0.
-4, -2, 1
Factor 3*h**4/2 + 9*h**3/2 + 3*h**2.
3*h**2*(h + 1)*(h + 2)/2
Factor w**2 + 22*w + 105.
(w + 7)*(w + 15)
Factor 4*g**3/7 + 1028*g**2/7 + 3056*g/7 + 2032/7.
4*(g + 1)*(g + 2)*(g + 254)/7
What is l in -l**2 - 127*l/3 - 164/3 = 0?
-41, -4/3
Factor 7*b**2/4 + 25*b/8 - 3/4.
(b + 2)*(14*b - 3)/8
Determine k so that -2*k**4/3 + 39*k**3 + 60*k**2 + k/3 - 20 = 0.
-1, 1/2, 60
Suppose 2*b**3 - 580*b**2 + 2288*b = 0. What is b?
0, 4, 286
Suppose -3*l**5 - 81*l**4 - 288*l**3 - 276*l**2 = 0. What is l?
-23, -2, 0
Factor -2*z**2/5 + 168*z/5 - 3528/5.
-2*(z - 42)**2/5
Determine w so that w**2 + 46*w - 627 = 0.
-57, 11
Factor -2*w**3 + 8*w**2 + 38*w + 28.
-2*(w - 7)*(w + 1)*(w + 2)
Factor 4*r**5 + 20*r**4 + 12*r**3 - 20*r**2 - 16*r.
4*r*(r - 1)*(r + 1)**2*(r + 4)
Suppose -5*p**5/2 - 50*p**4 - 190*p**3 + 655*p**2 + 385*p/2 - 605 = 0. Calculate p.
-11, -1, 1, 2
What is o in -2*o**3/13 + 180*o**2/13 + 2*o/13 - 180/13 = 0?
-1, 1, 90
Let n**5/4 - 21*n**4/4 + 75*n**3/4 + 361*n**2/4 + 102*n + 36 = 0. What is n?
-1, 12
Find n, given that -2*n**3/3 + 10*n**2/3 - 16*n/3 + 8/3 = 0.
1, 2
Solve -12*s**3 - 332*s**2 + 120*s + 224 = 0.
-28, -2/3, 1
Suppose -2*z**2/3 - 284*z/3 = 0. What is z?
-142, 0
Factor f**5 + 3380*f**4 + 3807006*f**3 + 1427624996*f**2 - 1431435383*f.
f*(f - 1)*(f + 1127)**3
Solve p**5/7 - p**4/7 - 41*p**3/7 + 109*p**2/7 + 8*p/7 - 20 = 0 for p.
-7, -1, 2, 5
Let -2*a**5 - 10*a**4 + 6*a**3 + 26*a**2 - 20*a = 0. What is a?
-5, -2, 0, 1
Let -7*d**3 + 89*d**2 + 362*d + 96 = 0. What is d?
-3, -2/7, 16
Factor -7*n**3/3 + 82*n**2/3 - 221*n/3 - 70/3.
-(n - 7)*(n - 5)*(7*n + 2)/3
Find o such that -2*o**2/11 + 144*o/11 - 2592/11 = 0.
36
Find x such that -3*x**4/2 + 15*x**3/2 + 189*x**2/2 - 411*x/2 + 105 = 0.
-7, 1, 10
Find u, given that 2*u**4/5 - 466*u**3/15 + 1652*u**2/15 - 1784*u/15 + 592/15 = 0.
2/3, 1, 2, 74
Factor -4*j**5/5 - 28*j**4/5 - 72*j**3/5 - 16*j**2 - 32*j/5.
-4*j*(j + 1)*(j + 2)**3/5
Determine a so that 2*a**5 + 2*a**4 - 6*a**3 - 10*a**2 - 4*a = 0.
-1, 0, 2
Let -j**3/4 - j**2/2 + 21*j/4 - 9/2 = 0. What is j?
-6, 1, 3
Find o, given that -2*o**4/9 + 166*o**3/9 + 518*o**2/9 - 166*o/9 - 172/3 = 0.
-3, -1, 1, 86
Factor -3*a**3/4 - 3*a**2/4 + 27*a/4 + 27/4.
-3*(a - 3)*(a + 1)*(a + 3)/4
Suppose -2*x**3/17 - 2044*x**2/17 - 30840*x - 61200 = 0. What is x?
-510, -2
Suppose -2*b**5/3 + 10*b**4/3 + 44*b**3/3 + 32*b**2/3 = 0. Calculate b.
-2, -1, 0, 8
Factor 2*s**2 + 408*s - 2090.
2*(s - 5)*(s + 209)
Find u, given that -3*u**3/5 - 1329*u**2/5 - 147849*u/5 - 146523/5 = 0.
-221, -1
Factor -2*n**4/17 - 4*n**3/17 + 4*n/17 + 2/17.
-2*(n - 1)*(n + 1)**3/17
Factor 153*p**3 + 2283*p**2 - 180*p.
3*p*(p + 15)*(51*p - 4)
What is p in 2*p**3 + 158*p**2 + 310*p + 154 = 0?
-77, -1
Solve -3*m**4 - 1011*m**3/5 + 10773*m**2/5 - 4881*m - 2310 = 0.
-77, -2/5, 5
Solve -4*l**2/7 + 2264*l/7 = 0.
0, 566
Factor 3*g**2/5 + 192*g/5 - 396/5.
3*(g - 2)*(g + 66)/5
Solve 2*z**3/5 - 18*z**2/5 - 44*z/5 = 0 for z.
-2, 0, 11
Let 8*r**4/7 - 62*r**3/7 - 16*r**2/7 = 0. Calculate r.
-1/4, 0, 8
Determine y so that -3*y**5 - 12*y**4 + 36*y**3 - 6*y**2 - 33*y + 18 = 0.
-6, -1, 1
Factor 6291*y**2/4 + 1572*y - 3/4.
3*(y + 1)*(2097*y - 1)/4
Let 39*n**2/7 + 369*n + 594/7 = 0. What is n?
-66, -3/13
Solve 315*m**5 + 5020*m**4 + 8795*m**3 + 3510*m**2 - 860*m - 280 = 0.
-14, -1, -2/9, 2/7
Factor -5*y**3 + 75*y**2 - 115*y - 195.
-5*(y - 13)*(y - 3)*(y + 1)
Suppose r**2 - 6940*r + 12040900 = 0. What is r?
3470
Suppose -2*w**4/3 + 4*w**3 - 16*w**2/3 = 0. Calculate w.
0, 2, 4
Factor -2*j**3 + 1074*j**2 - 144720*j + 143648.
-2*(j - 268)**2*(j - 1)
Determine f, given that -3*f**3 - 9*f**2 - 6*f = 0.
-2, -1, 0
Determine l, given that l**2/2 - 52*l - 105/2 = 0.
-1, 105
Factor 5*q**4/7 + 2*q**3/7 - 15*q**2/7 + 4*q/7 + 4/7.
(q - 1)**2*(q + 2)*(5*q + 2)/7
Factor w**3 - w.
w*(w - 1)*(w + 1)
Factor b**4/4 - 12*b**3 + 373*b**2/2 - 870*b - 4275/4.
(b - 19)*(b - 15)**2*(b + 1)/4
Find p, given that p**5/3 + p**4/3 - 5*p**3/3 + p**2 = 0.
-3, 0, 1
Find w such that 4*w**3/3 + 20*w**2/3 - 8*w = 0.
-6, 0, 1
Suppose 2*c**5/7 - 18*c**4/7 + 40*c**3/7 + 32*c**2/7 - 192*c/7 + 160/7 = 0. What is c?
-2, 2, 5
Factor -5*i**3 + 280*i**2 - 275*i.
-5*i*(i - 55)*(i - 1)
Suppose -3*j**4 + 6*j**3 + 3*j**2 - 6*j = 0. What is j?
-1, 0, 1, 2
Let -5*b**3 + 275*b**2 - 3035*b - 3315 = 0. What is b?
-1, 17, 39
Find v such that v**2 - 13*v + 22 = 0.
2, 11
Let -2*d**2/9 - 8*d/9 + 14/3 = 0. Calculate d.
-7, 3
Solve -3*n**4 + 5*n**3 + 4*n**2 - 4*n = 0.
-1, 0, 2/3, 2
Solve 2*p**4 + 10*p**3 + 12*p**2 - 8*p - 16 = 0.
-2, 1
Factor -h**5 + h**4 + 7*h**3 - 13*h**2 + 6*h.
-h*(h - 2)*(h - 1)**2*(h + 3)
Factor -111*r**2/5 + 117*r/5 - 6/5.
-3*(r - 1)*(37*r - 2)/5
Suppose 2*w**5 - 10*w**4 - 16*w**3 + 96*w**2 = 0. What is w?
-3, 0, 4
Factor 4*c**4 + 16*c**3 - 24*c**2 - 144*c - 108.
4*(c - 3)*(c + 1)*(c + 3)**2
Factor 2*p**2/5 + 3691*p/5 - 1846/5.
(p + 1846)*(2*p - 1)/5
Determine y, given that 238*y**3 - 4*y**2/7 = 0.
0, 2/833
Factor 4*i**3 + 4*i**2 - 136*i + 224.
4*(i - 4)*(i - 2)*(i + 7)
Determine v, given that -30*v**5/7 + 118*v**4/7 - 82*v**3/7 - 6*v**2/7 = 0.
-1/15, 0, 1, 3
Find z, given that -82*z**3/5 - 816*z**2/5 + 3238*z/5 - 156/5 = 0.
-13, 2/41, 3
Factor w**5 + 312*w**4 + 23382*w**3 - 148824*w**2 + 227529*w.
w*(w - 3)**2*(w + 159)**2
Let 3*p**4 - 30*p**3 + 63*p**2 + 108*p - 324 = 0. Calculate p.
-2, 3, 6
What is u in -2*u**2/23 + 188*u/23 - 4418/23 = 0?
47
Factor 45*i**4 + 6240*i**3 + 218390*i**2 + 143520*i + 23805.
5*(i + 69)**2*(3*i + 1)**2
Factor 2*j**4/15 + 2*j**3/3 - 4*j**2/5.
2*j**2*(j - 1)*