/2 = 0.
875
Factor -50*t**3 + 195*t**2 + 20*t.
-5*t*(t - 4)*(10*t + 1)
Suppose 9*d**4 + 51*d**3/2 + 13*d**2 - 6*d - 4 = 0. What is d?
-2, -2/3, 1/2
Factor -2*c**3 - 322*c**2 - 13430*c - 37446.
-2*(c + 3)*(c + 79)**2
Factor -4*h**5 + 72*h**4 - 240*h**3 + 224*h**2.
-4*h**2*(h - 14)*(h - 2)**2
Factor -z**3/2 + 21*z**2 - 117*z/2.
-z*(z - 39)*(z - 3)/2
Factor -i**4 - 58*i**3 + 243*i**2 - 308*i + 124.
-(i - 2)*(i - 1)**2*(i + 62)
Factor 32*d**3/5 - 112*d**2/5 + 18*d/5 + 162/5.
2*(d + 1)*(4*d - 9)**2/5
Determine d so that -54*d**3/7 - 150*d**2/7 + 36*d/7 = 0.
-3, 0, 2/9
Factor 3*g**4 + 120*g**3 + 936*g**2 - 5280*g + 5808.
3*(g - 2)**2*(g + 22)**2
Factor -5*f**2 - 90*f - 225.
-5*(f + 3)*(f + 15)
Factor -u**3/4 + 17*u**2/4 - 24*u + 45.
-(u - 6)**2*(u - 5)/4
Factor 2*k**4/9 + 4*k**3/3 + 2*k**2 + 8*k/9.
2*k*(k + 1)**2*(k + 4)/9
Factor -g**5/3 + 6*g**4 - 32*g**3/3 - 2*g**2/3 + 11*g - 16/3.
-(g - 16)*(g - 1)**3*(g + 1)/3
Find r, given that -100*r**4 + 415*r**3 - 360*r**2 + 45*r = 0.
0, 3/20, 1, 3
Let -b**3/2 + 54*b**2 - 106*b = 0. What is b?
0, 2, 106
Suppose -2*o**3/5 - 886*o**2/5 - 98566*o/5 - 97682/5 = 0. Calculate o.
-221, -1
Factor 12*c**3/5 - 86*c**2/5 + 158*c/5 - 24/5.
2*(c - 4)*(c - 3)*(6*c - 1)/5
Solve -c**3/11 - 24*c**2/11 + 5*c + 78/11 = 0 for c.
-26, -1, 3
Factor -n**4/7 + 2*n**3/7 + 3*n**2/7.
-n**2*(n - 3)*(n + 1)/7
Let -2*k**3/9 - 154*k**2/9 - 3910*k/9 - 32798/9 = 0. Calculate k.
-31, -23
Solve -p**5/6 - 2*p**4/3 + 7*p**3/6 + 17*p**2/3 + 4*p = 0.
-4, -2, -1, 0, 3
Find i, given that 2*i**4/11 - 28*i**3/11 + 130*i**2/11 - 248*i/11 + 168/11 = 0.
2, 3, 7
Suppose -9*t**4 + 30*t**3 + 27*t**2 - 12*t = 0. What is t?
-1, 0, 1/3, 4
Factor -w**5 + 7*w**4 - 14*w**3 + 2*w**2 + 15*w - 9.
-(w - 3)**2*(w - 1)**2*(w + 1)
Factor -3*y**3 - 66*y**2 - 285*y + 858.
-3*(y - 2)*(y + 11)*(y + 13)
Factor 5*b**3/4 - 17*b**2/4 + 4*b - 1.
(b - 2)*(b - 1)*(5*b - 2)/4
Suppose 149*b**2/5 + 9*b/5 = 0. What is b?
-9/149, 0
Suppose -w**3/4 - 5*w**2/4 + w/2 + 6 = 0. What is w?
-4, -3, 2
Let -3*t**2/4 - 510*t - 86700 = 0. What is t?
-340
Suppose -3*w**5 - 84*w**4 - 432*w**3 - 822*w**2 - 669*w - 198 = 0. Calculate w.
-22, -3, -1
Suppose 3*y**3 - 6*y**2 + 3*y = 0. What is y?
0, 1
Find m such that -7*m**4 + 75*m**3 + 1877*m**2 + 2301*m + 506 = 0.
-11, -1, -2/7, 23
Solve -x**3 - 491*x**2 - 60024*x + 60516 = 0.
-246, 1
Factor 3*c**4/8 - 27*c**3/4 - 117*c**2/8 - 15*c/2.
3*c*(c - 20)*(c + 1)**2/8
Suppose -5*s**2 - 860*s + 865 = 0. What is s?
-173, 1
Suppose -3*a**2 - 138*a - 1587 = 0. What is a?
-23
What is l in -2*l**5/3 - 2*l**4/3 + 20*l**3/3 + 8*l**2/3 - 16*l = 0?
-3, -2, 0, 2
Factor 4*m**4/7 - 72*m**3/7 - 76*m**2/7.
4*m**2*(m - 19)*(m + 1)/7
Solve -x**3/6 + 4*x**2/3 = 0.
0, 8
Factor r**2/4 - r - 3.
(r - 6)*(r + 2)/4
Factor w**4 + w**3 - w**2 - w.
w*(w - 1)*(w + 1)**2
Let r**5 - 65*r**4 + 417*r**3 - 643*r**2 + 290*r = 0. What is r?
0, 1, 5, 58
Determine d, given that 4*d**5 - 76*d**4 - 260*d**3 - 100*d**2 + 256*d + 176 = 0.
-2, -1, 1, 22
Let -p**3 - 22*p**2 - 76*p - 72 = 0. Calculate p.
-18, -2
Find o, given that o**2 - 768*o - 1540 = 0.
-2, 770
Determine x, given that -x**2/3 - x + 208/3 = 0.
-16, 13
Find z such that -z**5/5 - 14*z**4/5 - 28*z**3/5 + 24*z**2 = 0.
-10, -6, 0, 2
Find f such that -6*f**4/7 - 372*f**3/7 - 4974*f**2/7 + 24552*f/7 - 26136/7 = 0.
-33, 2
Find q such that -4*q**4 + 8*q**3 + 12*q**2 - 32*q + 16 = 0.
-2, 1, 2
Let d**4/3 + 91*d**3/3 + 2024*d**2/3 - 2116*d/3 = 0. Calculate d.
-46, 0, 1
Suppose -t**2 + 8*t - 12 = 0. What is t?
2, 6
Determine d so that 147*d**5 - 1386*d**4 - 6561*d**3 - 3396*d**2 - 468*d = 0.
-3, -2/7, 0, 13
Factor -4*i**5 - 32*i**4 - 96*i**3 - 136*i**2 - 92*i - 24.
-4*(i + 1)**3*(i + 2)*(i + 3)
Factor -5*r**2 - 265*r + 270.
-5*(r - 1)*(r + 54)
Find z such that -z**4/2 - 7*z**3 - 36*z**2 - 80*z - 64 = 0.
-4, -2
Factor -5*j**2/2 - 17*j/2 + 6.
-(j + 4)*(5*j - 3)/2
Factor 2*p**2 + 386*p - 2800.
2*(p - 7)*(p + 200)
Let 2*n**4/15 + 96*n**3/5 + 226*n**2/3 + 468*n/5 + 112/3 = 0. Calculate n.
-140, -2, -1
Factor -c**3 - 16*c**2/7 + 17*c/7 + 6/7.
-(c - 1)*(c + 3)*(7*c + 2)/7
Factor 4*f**4/3 + 172*f**3/3 + 840*f**2 + 13328*f/3 + 10976/3.
4*(f + 1)*(f + 14)**3/3
Factor w**3 + 8*w**2 - 19*w + 10.
(w - 1)**2*(w + 10)
Factor -2*u**4/5 + 122*u**3/5 - 238*u**2/5 + 118*u/5.
-2*u*(u - 59)*(u - 1)**2/5
Solve -9*c**4 + 33*c**3 + 156*c**2 - 528*c - 192 = 0 for c.
-4, -1/3, 4
Factor -l**4/5 + 6*l**3/5 + 3*l**2/5 - 52*l/5 + 12.
-(l - 5)*(l - 2)**2*(l + 3)/5
Factor f**4 - 21*f**3 + 74*f**2 + 384*f + 288.
(f - 12)**2*(f + 1)*(f + 2)
Solve -p**5/2 - p**4/2 + 33*p**3 + 124*p**2 - 80*p - 576 = 0 for p.
-4, 2, 9
Factor f**2/7 + 655*f/7.
f*(f + 655)/7
Factor -u**2/6 - 19*u/3.
-u*(u + 38)/6
Suppose -2*p**2/11 - 12*p - 496/11 = 0. Calculate p.
-62, -4
Factor -4*f**3 - 204*f**2 + 420*f - 212.
-4*(f - 1)**2*(f + 53)
Determine n, given that -n**4/2 + 17*n**3/2 - 61*n**2/2 - 117*n/2 + 81 = 0.
-2, 1, 9
Factor 5*o**2 + 339*o + 268.
(o + 67)*(5*o + 4)
Factor 4*u**2 + 40*u.
4*u*(u + 10)
Factor 3*g**2 - 207*g + 204.
3*(g - 68)*(g - 1)
Solve q**2 + 35*q + 34 = 0 for q.
-34, -1
Solve 239181123*j**3 + 478469394*j**2 + 214308*j + 24 = 0.
-2, -2/8929
Let 25*a**4/9 - 20*a**3/3 - 16*a**2 - 64*a/9 = 0. Calculate a.
-4/5, 0, 4
Find u such that u**5 + 20*u**4 + 68*u**3 + 64*u**2 = 0.
-16, -2, 0
Let -5*r**4 - 60*r**3 - 80*r**2 + 240*r + 400 = 0. What is r?
-10, -2, 2
Factor 4*z**2 + 40*z + 64.
4*(z + 2)*(z + 8)
Determine n so that 3*n**5 - 9*n**4/2 - 9*n**3/2 + 3*n**2 = 0.
-1, 0, 1/2, 2
What is a in a**3/4 + 3*a**2/4 + a/2 = 0?
-2, -1, 0
Solve 4*g**3/7 + 120*g**2/7 + 324*g/7 = 0.
-27, -3, 0
Let -h**3 + 2*h**2 + 20*h + 24 = 0. Calculate h.
-2, 6
Factor -4*j**2 + 188*j - 1248.
-4*(j - 39)*(j - 8)
Let h**3/7 + 24*h**2/7 - h/7 - 24/7 = 0. What is h?
-24, -1, 1
Factor 2*w**2/5 + 38*w/15 - 16/3.
2*(w + 8)*(3*w - 5)/15
Solve 3*l**3/2 + 87*l**2 - 366*l + 372 = 0.
-62, 2
Factor 25*a**3/3 + 385*a**2/3 + 800*a/3 + 260/3.
5*(a + 2)*(a + 13)*(5*a + 2)/3
Factor 5*l**5 - 30*l**3 + 40*l**2 - 15*l.
5*l*(l - 1)**3*(l + 3)
Solve 2*w**5 - 66*w**4 - 284*w**3 - 436*w**2 - 294*w - 74 = 0 for w.
-1, 37
Find k such that 6*k**4/7 + 2824*k**3/7 + 336032*k**2/7 + 879840*k/7 + 438048/7 = 0.
-234, -2, -2/3
Factor -2*o**4/3 - 19*o**3/6 + 55*o**2/3 + 175*o/2.
-o*(o + 5)**2*(4*o - 21)/6
Factor -2*f**4 + 4*f**3 - 2*f**2.
-2*f**2*(f - 1)**2
Determine m so that 4*m**4/13 - 18*m**3/13 + 4*m**2/13 + 18*m/13 - 8/13 = 0.
-1, 1/2, 1, 4
Factor -k**3 - 12*k**2 - 45*k - 54.
-(k + 3)**2*(k + 6)
Find m such that 2*m**4/7 - 62*m**3/7 - 386*m**2/7 + 950*m/7 - 72 = 0.
-7, 1, 36
Factor 4*j**3 - 212*j**2/3 + 104*j + 128/3.
4*(j - 16)*(j - 2)*(3*j + 1)/3
Determine v so that v**3/5 + 16*v**2/5 + 59*v/5 + 44/5 = 0.
-11, -4, -1
Find b, given that 3*b**2/5 - 402*b/5 + 399/5 = 0.
1, 133
Factor i**5 + 18*i**4 - 22*i**3 - 52*i**2 + 93*i - 38.
(i - 1)**3*(i + 2)*(i + 19)
Factor 6*y**3 - 141*y**2 + 201*y - 66.
3*(y - 22)*(y - 1)*(2*y - 1)
Suppose s**5 - 19*s**4 + 117*s**3 - 261*s**2 + 162*s = 0. Calculate s.
0, 1, 3, 6, 9
Factor -m**5/2 - 3*m**4/2 + 9*m**3/2 - 5*m**2/2.
-m**2*(m - 1)**2*(m + 5)/2
Factor u**3/2 - 57*u**2/2 + 288*u + 3584.
(u - 32)**2*(u + 7)/2
Factor 2*v**3 + 18*v**2/7 - 80*v/7 - 24/7.
2*(v - 2)*(v + 3)*(7*v + 2)/7
Factor 129*q**3/4 + 775*q**2/2 + 1167*q + 18.
(q + 6)**2*(129*q + 2)/4
Find q, given that q**4/5 + q**3/5 - 11*q**2/5 - 9*q/5 + 18/5 = 0.
-3, -2, 1, 3
Solve 3*x**4/4 - 27*x**2/2 - 24*x - 45/4 = 0 for x.
-3, -1, 5
Factor 2*w**5 + 18*w**4 + 40*w**3 + 24*w**2.
2*w**2*(w + 1)*(w + 2)*(w + 6)
Solve 18*n**4/5 - 16*n**3 + 14*n**2 + 16*n - 88/5 = 0.
-1, 1, 2, 22/9
Determine s, given that s**5 - 5*s**4 + 3*s**3 + 9*s**2 = 0.
-1, 0, 3
Determine g, given that -81*g**2 + 4866*g - 360 = 0.
2/27, 60
Let 2*h**5/7 - 166*h**4/7 + 1236*h**3/7 - 2700*h**2/7 - 54*h/7 + 4050/7 = 0. What is h?
-1, 3, 75
Let -3*q**3/2 - 237*q**2/2 + 366*q - 246 = 0. What is q?
-82, 1, 2
Find s, given that 3*s**4 - 12*s**3 - 21*s**2 + 66*s + 72 = 0.
-2, -1, 3, 4
Factor q**5 - 12*q**4 + 4*q**3 + 192*q**2 + 256*q.
q*(q - 8)**2*(q + 2)**2
Find s, given that 2*s**3/21 + 172*s**2/7 + 11264*s/7 + 65536/21 = 0.
-128, -2
What is w in -3*w**2/5 + 438*w/5 - 87 = 0?
1, 145
Factor -b**3/4 + 7*b**2/4 + 9*b/2.
-b*(b - 9)*(b + 2)/4
Determine z, given that 5*z**2 + 15*z + 10 = 0.
-