= 0.
-7, -1, 0, 1
Determine f so that -289*f**4 - 5593*f**3 - 11773*f**2 - 3639*f - 306 = 0.
-17, -2, -3/17
Factor 5*x**2/6 + 2635*x/6 - 2645/3.
5*(x - 2)*(x + 529)/6
Factor r**4 + 322*r**3 + 1593*r**2 + 2540*r + 1268.
(r + 1)*(r + 2)**2*(r + 317)
Determine b so that -2*b**2/7 + 298*b/7 - 296/7 = 0.
1, 148
Find c, given that -2*c**5/9 - 14*c**4/9 + 16*c**3/9 = 0.
-8, 0, 1
Factor m**3/3 - m**2/3 - 26*m/3 - 8.
(m - 6)*(m + 1)*(m + 4)/3
Suppose -6*n**5 - 9*n**4 + 3*n**3 + 9*n**2 + 3*n = 0. Calculate n.
-1, -1/2, 0, 1
Find w such that 5*w**2 + 120*w + 720 = 0.
-12
Factor -4*q**3 + 132*q**2 - 1152*q + 3024.
-4*(q - 21)*(q - 6)**2
Factor -4225*y**4 - 8710*y**3 - 4749*y**2 - 268*y - 4.
-(y + 1)**2*(65*y + 2)**2
Suppose 4*v**3 + 28*v**2 + 48*v = 0. Calculate v.
-4, -3, 0
Factor 4*b**3 + 36*b**2 - 64*b - 576.
4*(b - 4)*(b + 4)*(b + 9)
Suppose -2*f**4 + 14*f**3 - 30*f**2 + 26*f - 8 = 0. What is f?
1, 4
Let -49*w**2/6 - 14*w/3 - 2/3 = 0. What is w?
-2/7
Factor 3*d**2 - 222*d + 4107.
3*(d - 37)**2
Solve 3*o**4/8 - 729*o**3/8 + 1425*o**2/8 + 5049*o/8 + 723/2 = 0.
-1, 4, 241
Factor g**2/4 + 2*g + 3.
(g + 2)*(g + 6)/4
Factor -4*y**3 + 380*y**2 + 1192*y - 1568.
-4*(y - 98)*(y - 1)*(y + 4)
Determine s, given that -3*s**4/4 + 39*s**3/4 + 27*s**2/2 - 39*s - 42 = 0.
-2, -1, 2, 14
Factor -8*b**3 + 38*b**2 + 60*b.
-2*b*(b - 6)*(4*b + 5)
Factor l**2 - 14*l + 45.
(l - 9)*(l - 5)
Find h, given that 3*h**2/2 + 1791*h/2 - 7260 = 0.
-605, 8
Factor -2*w**3/19 + 88*w**2/19 + 384*w/19.
-2*w*(w - 48)*(w + 4)/19
Factor -2*l**4/5 + 2*l**3/5 + 2*l**2 + 6*l/5.
-2*l*(l - 3)*(l + 1)**2/5
Factor 25*i**3/8 + 18885*i**2/4 + 7551*i/2 + 755.
(i + 1510)*(5*i + 2)**2/8
Suppose 10*a**5/17 - 4184*a**4/17 + 5842*a**3/17 - 1668*a**2/17 = 0. What is a?
0, 2/5, 1, 417
Determine l so that 3*l**3 + 48*l**2 + 183*l + 198 = 0.
-11, -3, -2
Factor 4*b**3 + 16*b**2 - 44*b + 24.
4*(b - 1)**2*(b + 6)
Determine v, given that -4*v**3 - 32*v**2 + 192*v = 0.
-12, 0, 4
Solve -b**2/8 - 511*b/4 - 261121/8 = 0.
-511
Determine p so that 3*p**2/2 - 61*p/4 + 5/2 = 0.
1/6, 10
Determine l, given that -2*l**3/17 + 32*l**2 - 1614*l/17 = 0.
0, 3, 269
Let 18*w**5/11 + 1674*w**4/11 + 38062*w**3/11 - 40506*w**2/11 - 16920*w/11 + 17672/11 = 0. Calculate w.
-47, -2/3, 2/3, 1
Suppose 3*g**3/4 + 453*g**2/4 + 5148*g + 62073 = 0. Calculate g.
-66, -19
Factor -875*z**2 + 145*z + 30.
-5*(7*z - 2)*(25*z + 3)
Factor 5*y**3/8 - 26*y**2 - 21*y/2.
y*(y - 42)*(5*y + 2)/8
Let 2*c**5 + 16*c**4 - 10*c**3 - 224*c**2 - 424*c - 224 = 0. What is c?
-7, -2, -1, 4
Factor -3*l**2 + 48*l - 189.
-3*(l - 9)*(l - 7)
Find i such that 5*i**2 + 30*i + 40 = 0.
-4, -2
Solve 2*j**4/5 + 648*j**3/5 - 1956*j**2/5 + 392*j - 654/5 = 0.
-327, 1
Let 8*b**5/7 + 10*b**4/7 + 2*b**3/7 = 0. What is b?
-1, -1/4, 0
Factor 4*p**2/5 + 24*p/5.
4*p*(p + 6)/5
Factor -169*c**2/4 - 1170*c - 8100.
-(13*c + 180)**2/4
Determine l, given that 2*l**2 - 352*l + 15488 = 0.
88
Suppose 5*b**3 - 1155*b**2 + 2295*b - 1145 = 0. What is b?
1, 229
Solve -15*n**5 - 65*n**4 + 920*n**3 - 1900*n**2 + 880*n = 0 for n.
-11, 0, 2/3, 2, 4
Solve k**2/3 + 67*k/3 + 22 = 0 for k.
-66, -1
Find m, given that -2*m**3/5 - 508*m**2/5 - 506*m/5 = 0.
-253, -1, 0
Solve -6*a**2 - 123*a + 63 = 0.
-21, 1/2
What is v in 5*v**3 + 85*v**2 + 135*v - 225 = 0?
-15, -3, 1
What is l in -l**3 + 5*l**2 - 4*l = 0?
0, 1, 4
Factor 5*g**2 + 485*g + 480.
5*(g + 1)*(g + 96)
Factor 2*i**3/5 - 1042*i**2/5 - 1044*i/5.
2*i*(i - 522)*(i + 1)/5
Determine y, given that -2*y**2/13 + 162*y/13 + 504/13 = 0.
-3, 84
Determine i so that -2*i**3/15 + 2*i**2/5 = 0.
0, 3
Determine z so that 4*z**2 + 16*z - 84 = 0.
-7, 3
Find g such that g**2/4 - 10*g + 39/4 = 0.
1, 39
Determine c so that -2*c**4 + 8*c**3 + 24*c**2 = 0.
-2, 0, 6
Find s, given that -s**2/11 - 125*s/11 - 366/11 = 0.
-122, -3
Factor -w**5/2 - w**4/2 + 3*w**3/2 + 5*w**2/2 + w.
-w*(w - 2)*(w + 1)**3/2
Find f, given that -2*f**4/7 + 10*f**2/7 - 8/7 = 0.
-2, -1, 1, 2
Find m, given that 9*m**2 + 83*m + 18 = 0.
-9, -2/9
Factor -o**4/10 - o**3 - 9*o**2/10 + 26*o/5 - 16/5.
-(o - 1)**2*(o + 4)*(o + 8)/10
Factor -3*m**4 - 7080*m**3 - 4163016*m**2 + 16737120*m - 16765488.
-3*(m - 2)**2*(m + 1182)**2
Solve 1458*o**3/7 - 432*o**2 + 218*o/7 - 4/7 = 0 for o.
1/27, 2
Factor -2*x**4 - 28*x**3 - 38*x**2 + 420*x.
-2*x*(x - 3)*(x + 7)*(x + 10)
Solve s**3/3 - s**2 - 8*s + 80/3 = 0 for s.
-5, 4
Find q such that -4*q**3/5 + 12*q**2 + 4*q/5 - 12 = 0.
-1, 1, 15
Factor 15*u**4 - 159*u**3 - 1266*u**2 - 480*u.
3*u*(u - 16)*(u + 5)*(5*u + 2)
Factor 5*j**2/3 + 145*j/3 - 420.
5*(j - 7)*(j + 36)/3
Factor 5*l**5 - 260*l**3 + 480*l**2.
5*l**2*(l - 6)*(l - 2)*(l + 8)
Solve -z**3/4 + 417*z**2/4 - 10920*z + 10816 = 0.
1, 208
Factor v**5 - 8*v**4 - 19*v**3 - 10*v**2.
v**2*(v - 10)*(v + 1)**2
Factor 3*x**4 + 39*x**3 + 129*x**2 + 45*x - 216.
3*(x - 1)*(x + 3)**2*(x + 8)
Let 3*q**3 - 81*q**2 + 150*q = 0. Calculate q.
0, 2, 25
Solve -21*r**5 + 99*r**4 + 114*r**3 - 396*r**2 - 120*r = 0.
-2, -2/7, 0, 2, 5
Factor -5*f**2 - 40*f.
-5*f*(f + 8)
Find k such that 4*k**2 + 416*k = 0.
-104, 0
Solve -3*x**2 - 741*x + 744 = 0 for x.
-248, 1
Factor -o**3/7 + 4*o/7.
-o*(o - 2)*(o + 2)/7
Factor -k**2/6 + k/2.
-k*(k - 3)/6
Solve 9*x**4/8 + 39*x**3/4 - 83*x**2/2 + 41*x - 12 = 0.
-12, 2/3, 2
Factor 2*c**3/5 + 74*c**2/5 + 28*c.
2*c*(c + 2)*(c + 35)/5
Let 2*v**3/15 - 272*v**2/15 + 9248*v/15 = 0. Calculate v.
0, 68
Factor a**3/4 - 315*a**2/2 - 633*a/4 + 631/2.
(a - 631)*(a - 1)*(a + 2)/4
Factor 2*r**2 - 3096*r + 1198152.
2*(r - 774)**2
Determine t so that -t**4/2 + 11*t**3/2 - 33*t**2/2 + 37*t/2 - 7 = 0.
1, 2, 7
Let 3*k**5 - 57*k**4 + 384*k**3 - 1068*k**2 + 1008*k = 0. Calculate k.
0, 2, 4, 6, 7
Solve 10*w**5 + 95*w**4 - 175*w**3 - 110*w**2 = 0.
-11, -1/2, 0, 2
Determine p so that 259*p**2/4 - 261*p/4 + 1/2 = 0.
2/259, 1
Determine v so that -v**5/3 + 2*v**4 + 46*v**3/3 + 92*v**2/3 + 25*v + 22/3 = 0.
-2, -1, 11
Determine c so that -2*c**4/9 + 8*c**2/9 = 0.
-2, 0, 2
Factor -h**3/6 - h**2 + 5*h/2 - 4/3.
-(h - 1)**2*(h + 8)/6
Factor 4*b**3 - 104*b**2 + 420*b + 3600.
4*(b - 15)**2*(b + 4)
Factor 23763*x**2 + 40584*x + 17328.
3*(89*x + 76)**2
Factor 2*f**2 - 264*f + 8712.
2*(f - 66)**2
Determine a, given that 145*a**2 + 570*a - 40 = 0.
-4, 2/29
Factor 3*c**5 + 8*c**4 + 4*c**3.
c**3*(c + 2)*(3*c + 2)
Suppose -21*w**3 - 1119*w**2 - 2460*w - 612 = 0. What is w?
-51, -2, -2/7
Factor -11*p**3 + 3*p**2 + 11*p - 3.
-(p - 1)*(p + 1)*(11*p - 3)
Factor d**5 + 4*d**4 + 2*d**3 - 4*d**2 - 3*d.
d*(d - 1)*(d + 1)**2*(d + 3)
Factor -2*w**2/13 + 420*w/13 - 1648/13.
-2*(w - 206)*(w - 4)/13
Determine l, given that -3*l**5 - 3*l**4 + 54*l**3 - 42*l**2 - 51*l + 45 = 0.
-5, -1, 1, 3
Solve 5*o**3 - 135*o**2 + 1215*o - 3645 = 0.
9
Find k, given that 4*k**2/3 - 7520*k/3 + 3534400/3 = 0.
940
Find c, given that 4*c**3/9 + 28*c**2/9 - 32*c/3 - 80 = 0.
-6, 5
Let -2*y**5 + 6*y**4 + 2*y**3 - 6*y**2 = 0. What is y?
-1, 0, 1, 3
Find c such that c**3/2 - 36*c**2 - 379*c/2 - 231 = 0.
-3, -2, 77
Solve 4*b**3/5 - 8*b**2/5 - 124*b/5 - 112/5 = 0.
-4, -1, 7
Factor -k**4/2 + 9*k**3/2 - 10*k**2.
-k**2*(k - 5)*(k - 4)/2
Solve 4*z**2 - 12*z - 40 = 0 for z.
-2, 5
Suppose -2*b**2/7 + 36*b/7 - 34/7 = 0. Calculate b.
1, 17
Factor 20*d**4 - 385*d**3 + 95*d**2.
5*d**2*(d - 19)*(4*d - 1)
Suppose -250*m**5/3 + 700*m**4/3 + 2330*m**3/3 + 1964*m**2/3 + 664*m/3 + 80/3 = 0. What is m?
-1, -2/5, 5
Factor -z**3 + 18*z**2 + 40*z.
-z*(z - 20)*(z + 2)
Factor 2*q**4 + 16*q**3 - 22*q**2 - 36*q.
2*q*(q - 2)*(q + 1)*(q + 9)
Solve -10*f**2 + 964*f - 384 = 0.
2/5, 96
Solve -5*n**5/2 - 184*n**4 + 1293*n**3/2 - 614*n**2 + 154*n = 0.
-77, 0, 2/5, 1, 2
Solve -20*m**5 + 445*m**4 + 845*m**3 - 85*m**2 - 825*m - 360 = 0.
-1, -3/4, 1, 24
Factor -r**4/11 + 8*r**3/11 + 9*r**2/11.
-r**2*(r - 9)*(r + 1)/11
Solve 2*v**4 + 2*v**3 - 12*v**2 = 0 for v.
-3, 0, 2
Factor 32*z**5 - 580*z**4 + 2760*z**3 + 2800*z**2 - 33320*z + 4116.
4*(z - 7)**3*(z + 3)*(8*z - 1)
Factor -a**2/9 + 65*a/9.
-a*(a - 65)/9
Factor -3*b**4 + 112*b**3/3 - 320*b**2/3.
-b**2*(b - 8)*(9*b - 40)/3
Determine a so that 4*a**4 - 120*a**3 + 432*a**2 - 416*a = 0.
0, 2, 26
Factor 2*t**3/3 - 80*t**2 + 2400*t.
2*t*(t - 60)**2/3
Solve 2*c**5/3 - 40*c**4/3 + 284*c**3/3 - 848*c**2/3 + 994*c/3 - 392/3 = 0.
1, 4, 7
Find o such that -36*o**4/5 + 92*o**3/5 - 56*o**2/5 = 0.