318*s**2/5 - 7644*s/5 + 288/5.
6*(s - 24)*(53*s - 2)/5
Let -60*l**5/7 + 4*l**4/7 + l**3/7 = 0. What is l?
-1/10, 0, 1/6
Let 2*f**4 + 152*f**3 + 2886*f**2 - 152*f - 2888 = 0. Calculate f.
-38, -1, 1
Let 4*r**5/5 + 24*r**4/5 + 28*r**3/5 - 24*r**2/5 - 32*r/5 = 0. Calculate r.
-4, -2, -1, 0, 1
Factor -4*j**3 + 36*j**2 + 208*j.
-4*j*(j - 13)*(j + 4)
Factor m**2/6 + 4*m/3 + 2.
(m + 2)*(m + 6)/6
Factor -5*s**5 - 20*s**4 - 20*s**3 + 10*s**2 + 25*s + 10.
-5*(s - 1)*(s + 1)**3*(s + 2)
Factor -5*b**2/2 - 5*b + 75/2.
-5*(b - 3)*(b + 5)/2
Solve -21*o**5 - 150*o**4 - 84*o**3 + 642*o**2 - 327*o - 60 = 0.
-5, -4, -1/7, 1
Factor b**5/2 - 7*b**4/2 - 3*b**3/2 + 23*b**2/2 - 7*b.
b*(b - 7)*(b - 1)**2*(b + 2)/2
Determine w so that -5*w**5 - 695*w**4 - 24485*w**3 - 22425*w**2 + 47610*w = 0.
-69, -2, 0, 1
Factor 5*s**2 + 655*s - 2010.
5*(s - 3)*(s + 134)
Let 2*t**2 - 40*t - 1368 = 0. What is t?
-18, 38
Factor r**2/4 + 312*r - 1249/4.
(r - 1)*(r + 1249)/4
Factor -4*u**2 + 16*u.
-4*u*(u - 4)
Let 4*a**2 - 20*a - 96 = 0. What is a?
-3, 8
Factor -4*j**2/3 - 1912*j/3.
-4*j*(j + 478)/3
Determine p, given that 3*p**2 - 108*p + 204 = 0.
2, 34
Let -2*r**2/11 + 32/11 = 0. Calculate r.
-4, 4
What is d in -d**4/5 - 7*d**3/5 + 19*d**2/5 + 7*d/5 - 18/5 = 0?
-9, -1, 1, 2
Factor 3*o**2/4 + 93*o/4 - 24.
3*(o - 1)*(o + 32)/4
Suppose 4*d**3 + 12*d**2 - 16*d = 0. What is d?
-4, 0, 1
Solve -5*t**3 - 135*t**2 - 975*t - 845 = 0.
-13, -1
Determine u, given that -5*u**4 + 30*u**3 + 525*u**2 + 490*u = 0.
-7, -1, 0, 14
Factor -2*b**2/13 - 34868*b/13 - 151972178/13.
-2*(b + 8717)**2/13
Factor -2*x**3 - 28*x**2 + 62*x - 32.
-2*(x - 1)**2*(x + 16)
Factor 4*m**2 - 4056*m + 4052.
4*(m - 1013)*(m - 1)
Factor -4*k**3 + 6628*k**2 - 2742332*k - 2748964.
-4*(k - 829)**2*(k + 1)
Solve 2*n**4/7 - 6*n**3 + 78*n**2/7 - 38*n/7 = 0.
0, 1, 19
Factor 5*i**3 - 30*i**2 - 5*i + 30.
5*(i - 6)*(i - 1)*(i + 1)
Solve 5*m**5 + 40*m**4 + 60*m**3 - 130*m**2 - 305*m - 150 = 0.
-5, -3, -1, 2
Factor 5*t**4 + 70*t**3 + 65*t**2.
5*t**2*(t + 1)*(t + 13)
Factor -9*t**2/5 - 39*t - 126/5.
-3*(t + 21)*(3*t + 2)/5
Factor -3*m**5/7 - 9*m**4/7 + 72*m**3/7 - 12*m**2.
-3*m**2*(m - 2)**2*(m + 7)/7
What is h in 2*h**5/3 - 46*h**4/3 + 358*h**3/3 - 1106*h**2/3 + 480*h - 216 = 0?
1, 2, 9
Suppose 20*t**3/9 - 88*t**2/9 + 32*t/9 = 0. Calculate t.
0, 2/5, 4
Determine g, given that -14*g**3 - 60*g**2 + 54*g + 20 = 0.
-5, -2/7, 1
Find a, given that -a**5/4 + a**4/4 + 25*a**3/2 + 87*a**2/2 + 207*a/4 + 81/4 = 0.
-3, -1, 9
Factor -j**3/4 + 2721*j**2/4 - 1855035*j/4 + 5540643/4.
-(j - 1359)**2*(j - 3)/4
Factor -4*v**2 + 18776*v - 18772.
-4*(v - 4693)*(v - 1)
Factor -3*d**5 - 66*d**4 - 525*d**3 - 1674*d**2 - 972*d + 3240.
-3*(d - 1)*(d + 5)*(d + 6)**3
Factor a**3/5 + 42*a**2/5 + 61*a + 264/5.
(a + 1)*(a + 8)*(a + 33)/5
Determine s so that -s**2/2 + 2 = 0.
-2, 2
Factor l**3/3 + 323*l**2/3 + 1280*l/3 + 1276/3.
(l + 2)**2*(l + 319)/3
Solve 3*b**5/5 + 99*b**4/5 + 954*b**3/5 + 2298*b**2/5 + 423*b + 135 = 0.
-15, -1
Find n such that -58*n**5/3 + 176*n**4/3 + 52*n**3/3 - 176*n**2/3 + 2*n = 0.
-1, 0, 1/29, 1, 3
Determine m so that 12*m**2 - 57*m + 36 = 0.
3/4, 4
Find k such that k**4 + 24*k**3 - 137*k**2 + 228*k - 116 = 0.
-29, 1, 2
Factor i**5/3 - 5*i**4 + 74*i**3/3 - 44*i**2 + 24*i.
i*(i - 6)**2*(i - 2)*(i - 1)/3
Determine x, given that -x**4/3 - 7*x**3/3 - 6*x**2 - 20*x/3 - 8/3 = 0.
-2, -1
Factor 2*q**3 - 28*q**2 + 64*q + 256.
2*(q - 8)**2*(q + 2)
Solve g**2/2 + 41*g - 84 = 0 for g.
-84, 2
Factor h**3 + 3*h**2.
h**2*(h + 3)
Determine o, given that 2*o**3/9 - 2*o**2/3 - 2*o - 10/9 = 0.
-1, 5
Factor 12*x**2/5 - 38*x/5 + 28/5.
2*(x - 2)*(6*x - 7)/5
Factor -25*r**3 + 55*r**2 + 10*r - 40.
-5*(r - 2)*(r - 1)*(5*r + 4)
Find m, given that -3*m**3 + 192*m = 0.
-8, 0, 8
Let -m**3/4 + 28*m**2 - 3021*m/4 - 3249/2 = 0. Calculate m.
-2, 57
Factor -w**4 + 68*w**3 - 380*w**2 + 496*w.
-w*(w - 62)*(w - 4)*(w - 2)
Factor v**4/4 - 147*v**3/4 - 149*v**2/4 + 147*v/4 + 37.
(v - 148)*(v - 1)*(v + 1)**2/4
Factor -2*y**4 + 20*y**3 - 50*y**2.
-2*y**2*(y - 5)**2
Factor -15*z**2 - 190*z + 65.
-5*(z + 13)*(3*z - 1)
Find l such that 5*l**5 - 160*l**4 + 2025*l**3 - 12690*l**2 + 39420*l - 48600 = 0.
5, 6, 9
Suppose 3*s**4 - 313*s**3 + 8214*s**2 - 2496*s - 5408 = 0. What is s?
-2/3, 1, 52
What is b in -5*b**4 + 10*b**3 + 135*b**2 + 260*b + 140 = 0?
-2, -1, 7
Factor f**4/5 - 26*f**3/5 + 36*f**2 + 40*f - 800.
(f - 10)**3*(f + 4)/5
Factor -y**2/3 + 3*y - 6.
-(y - 6)*(y - 3)/3
Factor -2*n**3 + 1152*n**2 - 164730*n - 334084.
-2*(n - 289)**2*(n + 2)
Determine o so that -3*o**3 - 147*o**2 + 1176*o = 0.
-56, 0, 7
Factor -2*j**2/11 - 26*j/11.
-2*j*(j + 13)/11
What is o in o**3 + 3269*o**2 + 2673224*o + 2669956 = 0?
-1634, -1
Suppose 2*s**4 + 2*s**3 - 24*s**2 - 56*s - 32 = 0. Calculate s.
-2, -1, 4
Suppose -o**2 + 23*o + 78 = 0. Calculate o.
-3, 26
Factor 3*x**2 - 6408*x + 3421872.
3*(x - 1068)**2
Factor -2*k**2/7 - 12*k/7 + 2.
-2*(k - 1)*(k + 7)/7
Determine x so that -x**4/3 + x**3/3 + 5*x**2 + 23*x/3 + 10/3 = 0.
-2, -1, 5
Factor 2*c**3/3 - 72*c**2 + 1738*c/3 + 1452.
2*(c - 99)*(c - 11)*(c + 2)/3
What is r in r**5/4 - 2*r**4 - 13*r**3/4 + 38*r**2 + 3*r - 36 = 0?
-4, -1, 1, 6
Factor -2*d**4/7 - 24*d**3 - 492*d**2/7 - 488*d/7 - 162/7.
-2*(d + 1)**3*(d + 81)/7
Solve r**4 - 57*r**3 + 268*r**2 - 420*r + 208 = 0.
1, 2, 52
Solve 4*u**4 + 2380*u**3 - 4772*u**2 + 2388*u = 0.
-597, 0, 1
Suppose 5*s**2 + 175*s = 0. What is s?
-35, 0
Suppose 7*a**3/4 - 199*a**2/4 + 150*a = 0. What is a?
0, 24/7, 25
Suppose -2*d**4/11 - 1356*d**3/11 - 4050*d**2/11 + 8*d/11 + 5400/11 = 0. Calculate d.
-675, -2, 1
Factor 2*k**2/13 + 194*k/13 + 192/13.
2*(k + 1)*(k + 96)/13
Suppose -3014284*u**4 + 6227312*u**3 - 401856*u**2 + 8768*u - 64 = 0. What is u?
2/91, 2
Factor 2675*g**2 + 2685*g + 10.
5*(g + 1)*(535*g + 2)
Factor -2*f**4 + 916*f**3 - 106698*f**2 + 415864*f - 412232.
-2*(f - 227)**2*(f - 2)**2
Factor u**3/10 + 117*u**2/2 + 1167*u/10 + 583/10.
(u + 1)**2*(u + 583)/10
Suppose -z**2/10 - 556*z/5 - 222 = 0. Calculate z.
-1110, -2
Suppose 98*h**5 - 434*h**4 - 5858*h**3 - 12934*h**2 - 6000*h - 792 = 0. Calculate h.
-3, -2/7, 11
Suppose 4*q**4 - 372*q**3 + 10020*q**2 - 87628*q + 77976 = 0. Calculate q.
1, 19, 54
Let t**3/5 - 256*t**2/5 + 3172*t + 13520 = 0. Calculate t.
-4, 130
What is d in -5*d**4/2 - 25*d**3 - 115*d**2/2 - 35*d = 0?
-7, -2, -1, 0
Find c such that 5*c**4/6 + 15*c**3/2 + 45*c**2/2 + 45*c/2 = 0.
-3, 0
Let 880*j**5 + 760*j**4 - 9705*j**3 + 6580*j**2 + 5140*j + 720 = 0. What is j?
-4, -1/4, 18/11, 2
Find f such that -4*f**5/9 - 20*f**4/9 - 4*f**3 - 28*f**2/9 - 8*f/9 = 0.
-2, -1, 0
Find i, given that -i**5/5 + 4*i**4/5 - 2*i**3/5 - 4*i**2/5 + 3*i/5 = 0.
-1, 0, 1, 3
Find j, given that 2*j**3 - 12*j**2/13 - 14*j/13 = 0.
-7/13, 0, 1
Find j, given that -18*j**5/11 + 60*j**4/11 - 36*j**3/11 - 48*j**2/11 + 54*j/11 - 12/11 = 0.
-1, 1/3, 1, 2
Suppose -28*p**5 - 412*p**4 - 1952*p**3 - 3104*p**2 - 960*p + 576 = 0. What is p?
-6, -2, -1, 2/7
Factor 3*c**2 + 18*c + 15.
3*(c + 1)*(c + 5)
Solve 2*b**4 - 22*b**3 + 16*b**2 + 40*b = 0 for b.
-1, 0, 2, 10
Factor 2*x**2 + 76*x + 74.
2*(x + 1)*(x + 37)
Factor 2*f**5/5 - 14*f**4/5 + 6*f**3 - 26*f**2/5 + 8*f/5.
2*f*(f - 4)*(f - 1)**3/5
Factor -5*d**3 - 10*d**2 + 145*d - 210.
-5*(d - 3)*(d - 2)*(d + 7)
Solve -18*d**5/5 + 456*d**4/5 - 538*d**3 - 3084*d**2/5 + 7176*d/5 - 2704/5 = 0.
-2, 2/3, 13
Suppose 9*s**5/7 - 492*s**4/7 - 192*s**3/7 + 1494*s**2/7 - 489*s/7 - 330/7 = 0. Calculate s.
-2, -1/3, 1, 55
Factor -2*x**4/13 + 906*x**3/13 - 3592*x**2/13.
-2*x**2*(x - 449)*(x - 4)/13
Find c, given that -3*c**3/5 + 21*c**2/5 - 36*c/5 = 0.
0, 3, 4
Factor 5*y**2 - 1235*y + 6050.
5*(y - 242)*(y - 5)
Determine q, given that -3*q**5/4 - 11*q**4/2 - 27*q**3/4 + 18*q**2 + 20*q = 0.
-4, -1, 0, 5/3
Factor -2*x**4/3 + 4*x**3 + 8*x**2/3 - 16*x.
-2*x*(x - 6)*(x - 2)*(x + 2)/3
Solve -z**3/3 - 14*z**2/3 - 20*z - 24 = 0 for z.
-6, -2
Suppose 2*a**2/11 - 36*a/11 + 112/11 = 0. What is a?
4, 14
Factor -4*a**4/9 + 8*a**3/3 - 16*a**2/3 + 32*a/9.
-4*a*(a - 2)**3/9
Find c, given that 5*c**2 + 25890*c + 33514605 = 0.
-2589
Determine v so that -2*v**5/13 + 54*v**4/13 + 116*v**3/13 + 4*v**2/13 - 114*v/13 - 58/13 = 0.
-1, 1, 29
Let -105*f**5 - 1332*f**4 - 1968*f**3 - 162*f**2 + 777*f + 198 = 0. Calculate f.
-11, -1, -2/7,