5*z**3.
-5*z**3*(z + 5)
Suppose m**3/5 - 51*m**2 + 4335*m - 122825 = 0. Calculate m.
85
Suppose 2*d**5/13 - 2*d**4 - 4*d**3/13 + 4*d**2 + 2*d/13 - 2 = 0. What is d?
-1, 1, 13
Factor -4*n**2 - 2920*n - 532900.
-4*(n + 365)**2
Factor -100*v**2 + 84*v + 16.
-4*(v - 1)*(25*v + 4)
Factor 2*j**3 - 97*j**2 - 368*j + 208.
(j - 52)*(j + 4)*(2*j - 1)
Factor 3*k**2 + 42*k + 72.
3*(k + 2)*(k + 12)
Factor -4*a**4 - 12*a**3 - 8*a**2.
-4*a**2*(a + 1)*(a + 2)
Let -t**4/6 - t**3/6 + 2*t**2/3 + 2*t/3 = 0. Calculate t.
-2, -1, 0, 2
Find n, given that 4*n**4 + 36*n**3 - 12*n**2 - 116*n - 72 = 0.
-9, -1, 2
Factor 5*w**2 - 68460*w + 234338580.
5*(w - 6846)**2
Suppose -a**2/5 - 99*a/5 + 20 = 0. Calculate a.
-100, 1
Determine b so that -2*b**2/11 + 686*b/11 = 0.
0, 343
Suppose 18*z**4 - 158*z**3 - 216*z**2 - 40*z = 0. What is z?
-1, -2/9, 0, 10
Find l, given that -l**2/5 + 438*l/5 - 47961/5 = 0.
219
Solve 4*y**4/5 + 3688*y**3/5 + 846388*y**2/5 - 1703856*y/5 + 853776/5 = 0.
-462, 1
Factor -5*h**3 + 230*h**2 - 3100*h + 13000.
-5*(h - 26)*(h - 10)**2
Factor 2*x**4 - 232*x**3 + 450*x**2 + 684*x.
2*x*(x - 114)*(x - 3)*(x + 1)
Suppose 4*x**2 + 1092*x + 1088 = 0. What is x?
-272, -1
Factor 3*m**2 - 1812*m + 273612.
3*(m - 302)**2
Determine u, given that -3*u**4 - 101*u**3 - 162*u**2 - 64*u = 0.
-32, -1, -2/3, 0
Find c, given that 5*c**3 + 395*c**2 + 4600*c - 137540 = 0.
-46, 13
Find o such that 3*o**5/2 + 9*o**4 - 6*o**3 - 36*o**2 = 0.
-6, -2, 0, 2
Solve -7*u**2 + 12*u + 4 = 0 for u.
-2/7, 2
Suppose -3*n**4 + 5*n**3 + 11*n**2 + 3*n = 0. What is n?
-1, -1/3, 0, 3
Suppose -2*t**2/5 + 1066*t/5 - 1064/5 = 0. What is t?
1, 532
Let q**4/3 - 3*q**3 - 61*q**2/3 + 123*q + 540 = 0. Calculate q.
-5, -4, 9
Suppose -5*i**2 - 3890*i - 756605 = 0. Calculate i.
-389
Determine r so that -20*r**5/3 - 620*r**4/3 - 1145*r**3/3 + 160*r**2 + 435*r = 0.
-29, -3/2, 0, 1
Determine u so that u**3/8 - u**2/8 - 3*u/2 = 0.
-3, 0, 4
Suppose 4*c**3 + 552*c**2 - 1152*c - 4480 = 0. What is c?
-140, -2, 4
Factor -5*c**2/2 + 137*c + 55/2.
-(c - 55)*(5*c + 1)/2
Suppose -85*a**3 - 220*a**2 - 185*a - 50 = 0. What is a?
-1, -10/17
Let 4*o**4 - 13*o**3 + 3*o**2 + 16*o - 4 = 0. Calculate o.
-1, 1/4, 2
Find n such that -5*n**3 + 55*n**2 + 350*n - 1960 = 0.
-7, 4, 14
Factor -5*q**5/2 - 1185*q**4 - 283205*q**3/2 - 279660*q**2 - 139240*q.
-5*q*(q + 1)**2*(q + 236)**2/2
Factor -3*q**2/5 - 78*q/5 - 207/5.
-3*(q + 3)*(q + 23)/5
Suppose -2*g**4/13 + 36*g**3/13 = 0. Calculate g.
0, 18
Factor 7*y**4 - 33*y**3 + 46*y**2 - 12*y - 8.
(y - 2)**2*(y - 1)*(7*y + 2)
Factor -3*v**2/2 - 657*v - 143883/2.
-3*(v + 219)**2/2
What is l in 9*l**4 - 528*l**3 - 717*l**2 - 180*l = 0?
-1, -1/3, 0, 60
Find v, given that -24*v**3 - 590*v**2 + 898*v + 364 = 0.
-26, -1/3, 7/4
Find u such that 75*u**4/2 + 3885*u**3/2 + 25461*u**2 + 19446*u + 3828 = 0.
-29, -22, -2/5
Factor -3*l**4 + 72*l**3 + 891*l**2.
-3*l**2*(l - 33)*(l + 9)
Factor 3*r**3 - 39*r**2 - 144*r.
3*r*(r - 16)*(r + 3)
Determine i, given that -4*i**4 - 296*i**3 - 288*i**2 + 296*i + 292 = 0.
-73, -1, 1
Factor -2*p**3/7 + 570*p**2/7 - 54150*p/7 + 1714750/7.
-2*(p - 95)**3/7
Factor 2*k**5/25 - 56*k**4/25 + 288*k**3/25 + 3456*k**2/25 - 27648*k/25.
2*k*(k - 12)**3*(k + 8)/25
Let -27*v**2 - 87*v + 84 = 0. Calculate v.
-4, 7/9
Factor g**3/7 + 8475*g**2/7 + 17952168*g/7 - 17960644/7.
(g - 1)*(g + 4238)**2/7
Factor a**5/6 + a**4/6 - 41*a**3/6 + 37*a**2/2 - 12*a.
a*(a - 3)**2*(a - 1)*(a + 8)/6
Determine r, given that 5*r**2 - 120*r + 115 = 0.
1, 23
Factor 75*x**3 + 3885*x**2 + 3072*x + 612.
3*(x + 51)*(5*x + 2)**2
Solve -4*a**2/3 + 8552*a/3 - 4571044/3 = 0 for a.
1069
Determine b so that 2*b**2 - 2416*b = 0.
0, 1208
Suppose 4*q**4 + 776*q**3 + 37636*q**2 = 0. Calculate q.
-97, 0
Find l, given that -2*l**3 + 564*l**2 - 53016*l + 1661168 = 0.
94
Factor -l**3/7 + 23*l**2/7 + 88*l/7 - 260/7.
-(l - 26)*(l - 2)*(l + 5)/7
Suppose -q**3/5 - 408*q**2/5 - 41616*q/5 = 0. Calculate q.
-204, 0
Find v such that v**4/6 - 8*v**3/3 + 13*v**2/6 + 5*v = 0.
-1, 0, 2, 15
Suppose -4*w**2 - 132*w + 280 = 0. What is w?
-35, 2
Factor 2*v**3/13 + 36*v**2/13 + 154*v/13 + 120/13.
2*(v + 1)*(v + 5)*(v + 12)/13
Factor -z**2/2 + 892*z - 397832.
-(z - 892)**2/2
Factor -j**2/2 - 15*j/2 + 108.
-(j - 9)*(j + 24)/2
Determine j, given that -j**3/4 - 77*j**2/2 - 1520*j - 2888 = 0.
-76, -2
Factor 7*q**3/2 - 177*q**2 - 153*q/2.
q*(q - 51)*(7*q + 3)/2
Let -25*k**4 - 85*k**3 + 1120*k**2 - 1340*k - 720 = 0. What is k?
-9, -2/5, 2, 4
Factor -3*r**2 - 69*r + 150.
-3*(r - 2)*(r + 25)
Factor -2*o**2/3 + 52*o - 1014.
-2*(o - 39)**2/3
Determine q so that 4*q**2 - 168*q - 1600 = 0.
-8, 50
Suppose -16*t**5 + 116*t**4 - 312*t**3 + 368*t**2 - 160*t = 0. What is t?
0, 5/4, 2
Let -m**3/6 - 208*m**2/3 + 835*m/6 - 209/3 = 0. What is m?
-418, 1
Factor -s**5 - 10*s**4 - 28*s**3 - 24*s**2.
-s**2*(s + 2)**2*(s + 6)
Let -i**2 + 4189*i + 4190 = 0. What is i?
-1, 4190
Find k, given that -58*k**3 - 1796*k**2 + 62*k = 0.
-31, 0, 1/29
Determine v, given that 2*v**5/9 + 4*v**4 + 70*v**3/3 + 472*v**2/9 + 40*v = 0.
-9, -5, -2, 0
Factor 5*c**4/6 + 25*c**3/3 - 65*c**2/6 - 55*c/3.
5*c*(c - 2)*(c + 1)*(c + 11)/6
Factor -3*b**4 - 187*b**3 - 2537*b**2 + 12243*b + 4356.
-(b - 4)*(b + 33)**2*(3*b + 1)
Factor -4*a**4 - 4*a**3 + 32*a**2 + 48*a.
-4*a*(a - 3)*(a + 2)**2
Suppose c**5/4 + c**4 - 4*c**2 - 4*c = 0. What is c?
-2, 0, 2
Let 4*i**2 + 40*i - 300 = 0. Calculate i.
-15, 5
Factor -o**3/4 + 129*o**2/4 + o - 129.
-(o - 129)*(o - 2)*(o + 2)/4
Factor -2*b**3/7 + 156*b**2/7 + 320*b/7.
-2*b*(b - 80)*(b + 2)/7
Factor -2*y**3/11 + 30*y**2/11 - 144*y/11 + 216/11.
-2*(y - 6)**2*(y - 3)/11
Suppose -4*k**4 - 908*k**3 - 50148*k**2 + 156860*k - 105800 = 0. Calculate k.
-115, 1, 2
Factor -5*z**2/4 - 385*z/4 + 195/2.
-5*(z - 1)*(z + 78)/4
Factor -b**2/9 - 155*b/9 + 322/3.
-(b - 6)*(b + 161)/9
Find s, given that -3*s**5/7 + 45*s**4/7 + 102*s**3/7 + 6*s**2/7 - 99*s/7 - 51/7 = 0.
-1, 1, 17
Determine a so that a**2 + 56*a - 177 = 0.
-59, 3
Factor -p**4/3 + 13*p**3/3 - 32*p**2/3 + 20*p/3.
-p*(p - 10)*(p - 2)*(p - 1)/3
Factor 20*a**3 + 37*a**2 - 76*a - 21.
(a + 3)*(4*a + 1)*(5*a - 7)
Solve -4*p**4/5 - 9*p**3 + 37*p**2/5 + 12*p/5 = 0.
-12, -1/4, 0, 1
Factor 5*f**3 - 400*f**2 - 860*f + 3280.
5*(f - 82)*(f - 2)*(f + 4)
Factor -t**4/3 - 47*t**3/3 + 49*t**2/3 + 47*t/3 - 16.
-(t - 1)**2*(t + 1)*(t + 48)/3
What is y in 32*y**3 + 1244*y**2 - 156*y = 0?
-39, 0, 1/8
What is c in -4*c**3 + 184*c**2 + 784*c + 800 = 0?
-2, 50
Factor 4*n**2 - 1180*n + 2344.
4*(n - 293)*(n - 2)
Factor -a**4/2 - 2*a**3 - a**2/2 + 3*a.
-a*(a - 1)*(a + 2)*(a + 3)/2
Suppose -n**3 + 2*n**2 + 11*n - 12 = 0. What is n?
-3, 1, 4
Solve -16*p**4/5 + 4*p**3 + 118*p**2/5 - 92*p/5 - 6 = 0 for p.
-5/2, -1/4, 1, 3
Determine l, given that 3*l**2/8 + 123*l/8 - 126 = 0.
-48, 7
Factor -i**2/4 + 133*i - 17689.
-(i - 266)**2/4
Let -2*g**5/13 - 2*g**4/13 + 2*g**3/13 + 2*g**2/13 = 0. Calculate g.
-1, 0, 1
Suppose -d**4 + 353*d**3/2 + 449*d**2 - 537*d/2 = 0. What is d?
-3, 0, 1/2, 179
Factor 3*x**3 - 51*x**2 - 3*x + 51.
3*(x - 17)*(x - 1)*(x + 1)
Determine m so that -2*m**4 + 268*m**3 - 11592*m**2 + 143888*m + 778688 = 0.
-4, 46
Let 4*t**2 - 7*t - 2 = 0. Calculate t.
-1/4, 2
Let -15*w**4 - 1326*w**3 - 4353*w**2 - 1530*w = 0. What is w?
-85, -3, -2/5, 0
Determine q, given that 8*q**3/3 + 346*q**2 - 90*q - 1300/3 = 0.
-130, -1, 5/4
Determine s so that 2*s**4/5 + 166*s**3/5 - 1044*s**2/5 + 424*s - 1424/5 = 0.
-89, 2
Suppose 15*x**5 - 220*x**4 + 860*x**3 - 270*x**2 - 875*x + 490 = 0. Calculate x.
-1, 2/3, 1, 7
What is r in 2*r**3 - 178*r**2 + 3870*r + 4050 = 0?
-1, 45
Factor -v**2/3 + 19*v/3 - 16.
-(v - 16)*(v - 3)/3
Determine w, given that 5*w**4 + 95*w**3 + 465*w**2 - 135*w - 2430 = 0.
-9, -3, 2
Let 2*y**2/11 + 20*y/11 + 18/11 = 0. Calculate y.
-9, -1
Factor -2*d**2/3 - 226*d/3 - 220.
-2*(d + 3)*(d + 110)/3
Suppose -2*m**3/11 + 502*m**2/11 - 998*m/11 + 498/11 = 0. Calculate m.
1, 249
Factor 192*q**4 + 3312*q**3 + 19044*q**2 + 36501*q.
3*q*(4*q + 23)**3
Find z such that 35*z**4 + 95*z**3 - 240*z**2 - 220*z + 80 = 0.
-4, -1, 2/7, 2
Factor -2*n**5 - 6*n**4 + 20*n**3 - 4*n**2 - 18*n + 10.
-2*(n - 1)**3*(n + 1)*(n + 5)
Factor -v**3/3 + 5*v**2 - 6*v - 104/3.
-(v - 13)*(v - 4)*(v + 2)/3
Factor -6*j**5 - 4*j**4 - 2*j**3/3.
-2*j**3*(3*j + 1)**2/3
Facto