 128*v/9 - 4096/9 = 0.
64
Determine i so that -2*i**3 + 128*i**2 - 2280*i + 7200 = 0.
4, 30
Let 3*y**5/7 - 279*y**4/7 + 6885*y**3/7 - 18213*y**2/7 - 1080*y/7 + 24300/7 = 0. Calculate y.
-1, 2, 45
Factor -175*n**3 + 165*n**2 + 360*n + 20.
-5*(n - 2)*(n + 1)*(35*n + 2)
Factor -36*c**3 - 784*c**2 + 1904*c - 384.
-4*(c - 2)*(c + 24)*(9*c - 2)
Factor -p**2/3 - 7*p/3 + 6.
-(p - 2)*(p + 9)/3
Find c, given that -2*c**3/15 - 80*c**2/3 + 2456*c/15 - 3296/15 = 0.
-206, 2, 4
Suppose 5*q**2 - 270*q - 1160 = 0. What is q?
-4, 58
Factor -b**4 + 692*b**3 - 4810*b**2 + 10284*b - 6165.
-(b - 685)*(b - 3)**2*(b - 1)
Find m such that -2*m**2/3 - 140*m/3 = 0.
-70, 0
Determine x so that -3*x**4/2 + 168*x**3 - 969*x**2/2 - 654*x = 0.
-1, 0, 4, 109
Suppose 2*t**5/3 - 14*t**4/3 + 22*t**3/3 - 10*t**2/3 = 0. Calculate t.
0, 1, 5
Let -2*m**3 + 42*m**2 - 288*m + 648 = 0. What is m?
6, 9
Factor -j**3/9 - 41*j**2/9 - 128*j/3 - 116.
-(j + 6)**2*(j + 29)/9
Find y such that -3*y**5/2 - 9*y**4/2 - 3*y**3 = 0.
-2, -1, 0
Factor -3*m**4 + 12*m**3 + 123*m**2 + 108*m.
-3*m*(m - 9)*(m + 1)*(m + 4)
Factor 3*t**2 - 24*t - 627.
3*(t - 19)*(t + 11)
Factor -w**3 - 62*w**2 - 467*w + 530.
-(w - 1)*(w + 10)*(w + 53)
Solve -3*j**3 - 225*j**2 + 459*j - 231 = 0.
-77, 1
Suppose 2*t**5/15 - 26*t**4/15 + 46*t**3/15 - 22*t**2/15 = 0. Calculate t.
0, 1, 11
Determine u, given that -4*u**4 - 16*u**3 + 204*u**2 + 664*u + 448 = 0.
-8, -2, -1, 7
Let 4*k**4 + 788*k**3 + 51480*k**2 + 1097712*k - 1149984 = 0. Calculate k.
-66, 1
What is f in 5476*f**3 - 4884*f**2 - 576*f - 16 = 0?
-2/37, 1
Factor l**3 + 48*l**2 - 151*l + 102.
(l - 2)*(l - 1)*(l + 51)
Suppose -5*o**4 + 20*o**2 = 0. What is o?
-2, 0, 2
What is l in 3*l**5 - 63*l**4 + 219*l**3 + 351*l**2 - 222*l - 288 = 0?
-1, 1, 6, 16
Determine i, given that -2*i**2 + 2390*i - 2388 = 0.
1, 1194
Determine s, given that 5*s**3 - 85*s**2 - 20*s + 340 = 0.
-2, 2, 17
Factor -2*n**2 + 6*n - 4.
-2*(n - 2)*(n - 1)
Find x such that 17*x**5 - 512*x**4 + 3885*x**3 - 450*x**2 = 0.
0, 2/17, 15
Find i, given that 3*i**2 - 12 = 0.
-2, 2
Find x, given that 2*x**2 + 18*x - 72 = 0.
-12, 3
Solve -10*t**5/9 - 116*t**4/9 - 104*t**3/3 + 16*t**2 = 0.
-6, 0, 2/5
Suppose -2*f**4 + 36*f**3 - 234*f**2 + 648*f - 648 = 0. Calculate f.
3, 6
What is p in 4*p**4 - 620*p**3 - 4*p**2 + 620*p = 0?
-1, 0, 1, 155
Determine h so that -486*h**4/7 + 7128*h**3 - 274428*h**2 + 4695768*h - 30131178 = 0.
77/3
Factor -q**3/5 + 4*q**2/5 - 3*q/5.
-q*(q - 3)*(q - 1)/5
Factor 5*d**3 + 110*d**2 + 425*d.
5*d*(d + 5)*(d + 17)
Suppose 2*l**2/9 - 742*l/9 = 0. Calculate l.
0, 371
Suppose -4*h**4 + 202*h**3 - 3366*h**2 + 17918*h + 9826 = 0. Calculate h.
-1/2, 17
Find i, given that i**2/3 + 101*i/3 + 100/3 = 0.
-100, -1
Factor -2*v**4/9 + 4*v**3/9 + 26*v**2/3 + 16*v.
-2*v*(v - 8)*(v + 3)**2/9
What is b in b**5/2 - 5*b**4 + 4*b**3 + 5*b**2 - 9*b/2 = 0?
-1, 0, 1, 9
Suppose 2*w**3 + 78*w**2 + 528*w + 992 = 0. Calculate w.
-31, -4
Find s, given that -2*s**3 - 4*s**2 + 8*s + 16 = 0.
-2, 2
Let 3174*a**3/11 + 9430*a**2/11 + 5168*a/11 - 2888/11 = 0. What is a?
-38/23, 1/3
Factor 220*o**3 - 92*o**2 - 24*o.
4*o*(5*o - 3)*(11*o + 2)
Find i such that -3*i**4 + 99*i**3 - 1134*i**2 + 5280*i - 8064 = 0.
3, 8, 14
Let 4*p**3/7 - 36*p**2/7 + 80*p/7 = 0. Calculate p.
0, 4, 5
Determine m, given that 5*m**3/3 + 40*m**2/3 - 55*m/3 - 30 = 0.
-9, -1, 2
Solve 3*f**5/2 + 45*f**4 - 198*f**3 + 204*f**2 = 0 for f.
-34, 0, 2
What is b in -b**2 + 2310*b - 1334025 = 0?
1155
Suppose -2*d**2 + 642*d + 3260 = 0. Calculate d.
-5, 326
Solve 4*a**2/9 - 50*a/9 + 8/3 = 0 for a.
1/2, 12
Factor 2*o**4/3 - 14*o**3 + 76*o**2/3.
2*o**2*(o - 19)*(o - 2)/3
Suppose p**4/5 + 243*p**3/5 + 14883*p**2/5 + 14641*p/5 = 0. Calculate p.
-121, -1, 0
What is d in -d**4 - 14*d**3/5 - 13*d**2/5 - 4*d/5 = 0?
-1, -4/5, 0
Factor -2*n**2/11 + 28*n + 624/11.
-2*(n - 156)*(n + 2)/11
Solve 2*l**2/7 - 116*l/7 = 0.
0, 58
Determine c so that 48*c**4 + 200*c**3 + 283*c**2 + 168*c + 36 = 0.
-2, -3/4, -2/3
What is w in -2*w**2/3 - 28*w/3 + 138 = 0?
-23, 9
Factor -n**3/4 - 29*n**2/4 - 26*n - 25.
-(n + 2)**2*(n + 25)/4
Factor 2*l**3 + 84*l**2 + 882*l + 2744.
2*(l + 7)**2*(l + 28)
Solve 5*f**3 - 115*f**2 + 280*f + 400 = 0.
-1, 4, 20
Let -q**3/6 - 23*q**2/6 + 113*q/6 + 45/2 = 0. Calculate q.
-27, -1, 5
Factor -4*q**2/15 + 2*q/15 + 14/5.
-2*(q + 3)*(2*q - 7)/15
Factor -2*x**4/5 + 136*x**3/5 - 2312*x**2/5.
-2*x**2*(x - 34)**2/5
What is g in -g**5/8 + 5*g**4/8 + 13*g**3/8 - 89*g**2/8 + 6*g + 18 = 0?
-4, -1, 3, 4
Factor -8*u**5 - 16*u**4 + 22*u**3 - 6*u**2.
-2*u**2*(u + 3)*(2*u - 1)**2
Factor -5*u**2 - 590*u - 17405.
-5*(u + 59)**2
Solve -4*b**2 - 28*b + 480 = 0.
-15, 8
Determine m so that -2*m**4/11 + 82*m**3/11 - 492*m**2/11 + 512*m/11 + 1088/11 = 0.
-1, 4, 34
Factor 4*x**2 - 324*x + 6560.
4*(x - 41)*(x - 40)
Factor 3*w**4/8 + 45*w**3/4 - 99*w**2/8 - 93*w/4.
3*w*(w - 2)*(w + 1)*(w + 31)/8
Let -r**2/4 + 199*r/2 - 39601/4 = 0. Calculate r.
199
Determine f so that -3*f**2/2 + 1263*f - 531723/2 = 0.
421
Factor 4*g**3 + 72*g**2 + 224*g.
4*g*(g + 4)*(g + 14)
Factor g**4/6 + g**3/3 - g**2/6 - g/3.
g*(g - 1)*(g + 1)*(g + 2)/6
Factor -4*d**2 - 56*d + 380.
-4*(d - 5)*(d + 19)
Find x such that -x**3/3 + 61*x**2/3 - 1144*x/3 + 2028 = 0.
9, 26
Factor -3*n**4 - 51*n**3 + 237*n**2 - 309*n + 126.
-3*(n - 2)*(n - 1)**2*(n + 21)
Factor a**2 + 30*a - 31.
(a - 1)*(a + 31)
Determine l so that -l**5/2 + 13*l**4/2 - 21*l**3/2 - 13*l**2/2 + 11*l = 0.
-1, 0, 1, 2, 11
Let 36*c**5 + 312*c**4 + 448*c**3 + 200*c**2 + 28*c = 0. What is c?
-7, -1, -1/3, 0
Factor -2*j**2/13 - 108*j/13 - 576/13.
-2*(j + 6)*(j + 48)/13
Suppose -n**4/5 + 8*n**3/5 - 21*n**2/5 + 18*n/5 = 0. What is n?
0, 2, 3
Determine k so that -2*k**3 + k**2 + 13*k + 6 = 0.
-2, -1/2, 3
Factor -2*z**3 - 80*z**2 - 544*z - 1024.
-2*(z + 4)**2*(z + 32)
Factor -r**4/3 - 4*r**3/9 + 5*r**2/9 + 2*r/9.
-r*(r - 1)*(r + 2)*(3*r + 1)/9
Determine p, given that -2*p**5/3 + 23*p**4/2 + 299*p**3/6 + 111*p**2/2 + 65*p/6 - 7 = 0.
-2, -1, 1/4, 21
Factor 10*h**4 + 38*h**3 + 42*h**2 + 10*h - 4.
2*(h + 1)**2*(h + 2)*(5*h - 1)
Factor -2*y**3/7 - 104*y**2/7 + 1690*y/7.
-2*y*(y - 13)*(y + 65)/7
Determine z so that 4*z**4 + 6*z**3 - 15*z**2/4 + z/2 = 0.
-2, 0, 1/4
Factor 3*a**2/7 + 36*a/7 - 480/7.
3*(a - 8)*(a + 20)/7
Factor 3*a**4 - 51*a**3 + 48*a**2.
3*a**2*(a - 16)*(a - 1)
Find p such that -9*p**5/4 - 303*p**4/4 + 417*p**3/4 - 105*p**2/4 = 0.
-35, 0, 1/3, 1
Solve -2*d**4/7 + 130*d**3 - 138618*d**2/7 + 7159514*d/7 - 13771804/7 = 0 for d.
2, 151
Factor -2*b**3/3 + 40*b**2/3 - 24*b.
-2*b*(b - 18)*(b - 2)/3
Factor -5*l**4 + 1775*l**3.
-5*l**3*(l - 355)
Let -2*q**2/9 - 6*q = 0. What is q?
-27, 0
Factor 14*k**3/11 - 368*k**2/11 + 2470*k/11 - 676/11.
2*(k - 13)**2*(7*k - 2)/11
Factor 2*g**2/9 + 10*g/9 - 28/9.
2*(g - 2)*(g + 7)/9
Factor -2*d**4 + 138*d**3 - 2320*d**2.
-2*d**2*(d - 40)*(d - 29)
What is r in -5*r**4/3 - 70*r**3 - 680*r**2 - 7520*r/3 - 3200 = 0?
-30, -4
Factor -w**4/6 + w**3/2 + 2*w**2 - 10*w/3 - 8.
-(w - 4)*(w - 3)*(w + 2)**2/6
Determine l, given that -l**3/2 + 195*l**2/2 + 393*l/2 + 197/2 = 0.
-1, 197
Factor i**3/7 - 13*i/7 - 12/7.
(i - 4)*(i + 1)*(i + 3)/7
Factor -v**2/5 + v/5 + 6/5.
-(v - 3)*(v + 2)/5
Factor -2*v**3/9 + 8*v**2/9 + 10*v.
-2*v*(v - 9)*(v + 5)/9
Let j**2/3 + 1298*j/3 + 421201/3 = 0. What is j?
-649
What is s in 2*s**4/17 + 44*s**3/17 + 176*s**2/17 + 84*s/17 - 18 = 0?
-17, -3, 1
Factor -2*n**3/5 - 56*n**2/5 - 70*n - 120.
-2*(n + 3)*(n + 5)*(n + 20)/5
Factor 3*w**4 - 15*w**3 - 63*w**2 + 159*w - 84.
3*(w - 7)*(w - 1)**2*(w + 4)
Factor 4*c**3 - 33*c**2 - 328*c + 84.
(c - 14)*(c + 6)*(4*c - 1)
Factor -v**2/2 - 7*v/2 + 22.
-(v - 4)*(v + 11)/2
Factor -n**3/4 + n**2/2 + n - 2.
-(n - 2)**2*(n + 2)/4
Suppose -c**3/2 - 13*c**2 + 225*c/2 - 99 = 0. Calculate c.
-33, 1, 6
Factor 14*f**2/13 - 54*f/13 + 36/13.
2*(f - 3)*(7*f - 6)/13
Solve -3*m**2/4 - 75*m/4 = 0.
-25, 0
Determine c so that 4*c**2 - 444*c - 904 = 0.
-2, 113
Suppose -d**3/2 + 7*d**2/2 - 3*d = 0. What is d?
0, 1, 6
Factor 4*l**3 + 56*l**2 + 164*l - 224.
4*(l - 1)*(l + 7)*(l + 8)
Factor -c**3/3 + 239*c**2/3 - 236*c/3 - 476/3.
-(c - 238)*(c - 2)*(c + 1)/3
Find w, given that w**3 - 133*w**2 = 0.
0, 133
Factor -2*p**3 + 70*p**2 + 248*p - 760.
-2*(p - 38)*(p - 2)*(p + 5)
Factor -4*j**4/9 - 44*j**3/9 - 32*j**2/3.